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shape_functions_inline_impl.hh
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			/**
			* @file shape_functions_inline_impl.hh
			*
			* @author Guillaume Anciaux <guillaume.anciaux@epfl.ch>
			* @author Fabian Barras <fabian.barras@epfl.ch>
			* @author Nicolas Richart <nicolas.richart@epfl.ch>
			* @author Marco Vocialta <marco.vocialta@epfl.ch>
			*
			* @date creation: Wed Oct 27 2010
			* @date last modification: Tue Feb 20 2018
			*
			* @brief ShapeFunctions inline implementation
			*
			*
			* Copyright (©) 2010-2018 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 "fe_engine.hh"
			#include "shape_functions.hh"
			/* -------------------------------------------------------------------------- */

			#ifndef __AKANTU_SHAPE_FUNCTIONS_INLINE_IMPL_HH__
			#define __AKANTU_SHAPE_FUNCTIONS_INLINE_IMPL_HH__

			namespace akantu {

			/* -------------------------------------------------------------------------- */
			inline const Array<Real> &
			ShapeFunctions::getShapes(const ElementType & el_type,
			const GhostType & ghost_type) const {
			return shapes(FEEngine::getInterpolationType(el_type), ghost_type);
			}

			/* -------------------------------------------------------------------------- */
			inline const Array<Real> &
			ShapeFunctions::getShapesDerivatives(const ElementType & el_type,
			const GhostType & ghost_type) const {
			return shapes_derivatives(FEEngine::getInterpolationType(el_type),
			ghost_type);
			}

			/* -------------------------------------------------------------------------- */
			inline UInt ShapeFunctions::getShapeSize(const ElementType & type) {
			AKANTU_DEBUG_IN();

			UInt shape_size = 0;
			#define GET_SHAPE_SIZE(type) shape_size = ElementClass<type>::getShapeSize()

			AKANTU_BOOST_ALL_ELEMENT_SWITCH(GET_SHAPE_SIZE); // ,

			#undef GET_SHAPE_SIZE

			AKANTU_DEBUG_OUT();
			return shape_size;
			}

			/* -------------------------------------------------------------------------- */
			inline UInt ShapeFunctions::getShapeDerivativesSize(const ElementType & type) {
			AKANTU_DEBUG_IN();

			UInt shape_derivatives_size = 0;
			#define GET_SHAPE_DERIVATIVES_SIZE(type) \
			shape_derivatives_size = ElementClass<type>::getShapeDerivativesSize()

			AKANTU_BOOST_ALL_ELEMENT_SWITCH(GET_SHAPE_DERIVATIVES_SIZE); // ,

			#undef GET_SHAPE_DERIVATIVES_SIZE

			AKANTU_DEBUG_OUT();
			return shape_derivatives_size;
			}

			/* -------------------------------------------------------------------------- */
			template <ElementType type>
			void ShapeFunctions::setIntegrationPointsByType(const Matrix<Real> & points,
			const GhostType & ghost_type) {
			if (not this->integration_points.exists(type, ghost_type))
			this->integration_points(type, ghost_type).shallowCopy(points);
			}

			/* -------------------------------------------------------------------------- */
			inline void
			ShapeFunctions::buildInterpolationMatrix(const Matrix<Real> & coordinates,
			Matrix<Real> & coordMatrix,
			UInt integration_order) const {
			switch (integration_order) {
			case 1: {
			for (UInt i = 0; i < coordinates.cols(); ++i)
			coordMatrix(i, 0) = 1;
			break;
			}
			case 2: {
			UInt nb_quadrature_points = coordMatrix.cols();

			for (UInt i = 0; i < coordinates.cols(); ++i) {
			coordMatrix(i, 0) = 1;
			for (UInt j = 1; j < nb_quadrature_points; ++j)
			coordMatrix(i, j) = coordinates(j - 1, i);
			}
			break;
			}
			default: {
			AKANTU_TO_IMPLEMENT();
			break;
			}
			}
			}

			/* -------------------------------------------------------------------------- */
			template <ElementType type>
			inline void ShapeFunctions::buildElementalFieldInterpolationMatrix(
			const Matrix<Real> &, Matrix<Real> &, UInt) const {
			AKANTU_TO_IMPLEMENT();
			}

			/* -------------------------------------------------------------------------- */
			template <>
			inline void ShapeFunctions::buildElementalFieldInterpolationMatrix<_segment_2>(
			const Matrix<Real> & coordinates, Matrix<Real> & coordMatrix,
			UInt integration_order) const {
			buildInterpolationMatrix(coordinates, coordMatrix, integration_order);
			}

			/* -------------------------------------------------------------------------- */
			template <>
			inline void ShapeFunctions::buildElementalFieldInterpolationMatrix<_segment_3>(
			const Matrix<Real> & coordinates, Matrix<Real> & coordMatrix,
			UInt integration_order) const {
			buildInterpolationMatrix(coordinates, coordMatrix, integration_order);
			}

			/* -------------------------------------------------------------------------- */
			template <>
			inline void ShapeFunctions::buildElementalFieldInterpolationMatrix<_triangle_3>(
			const Matrix<Real> & coordinates, Matrix<Real> & coordMatrix,
			UInt integration_order) const {
			buildInterpolationMatrix(coordinates, coordMatrix, integration_order);
			}

			/* -------------------------------------------------------------------------- */
			template <>
			inline void ShapeFunctions::buildElementalFieldInterpolationMatrix<_triangle_6>(
			const Matrix<Real> & coordinates, Matrix<Real> & coordMatrix,
			UInt integration_order) const {
			buildInterpolationMatrix(coordinates, coordMatrix, integration_order);
			}

			/* -------------------------------------------------------------------------- */
			template <>
			inline void
			ShapeFunctions::buildElementalFieldInterpolationMatrix<_tetrahedron_4>(
			const Matrix<Real> & coordinates, Matrix<Real> & coordMatrix,
			UInt integration_order) const {
			buildInterpolationMatrix(coordinates, coordMatrix, integration_order);
			}

			/* -------------------------------------------------------------------------- */
			template <>
			inline void
			ShapeFunctions::buildElementalFieldInterpolationMatrix<_tetrahedron_10>(
			const Matrix<Real> & coordinates, Matrix<Real> & coordMatrix,
			UInt integration_order) const {
			buildInterpolationMatrix(coordinates, coordMatrix, integration_order);
			}

			/**
			* @todo Write a more efficient interpolation for quadrangles by
			* dropping unnecessary quadrature points
			*
			*/

			/* -------------------------------------------------------------------------- */
			template <>
			inline void
			ShapeFunctions::buildElementalFieldInterpolationMatrix<_quadrangle_4>(
			const Matrix<Real> & coordinates, Matrix<Real> & coordMatrix,
			UInt integration_order) const {

			if (integration_order !=
			ElementClassProperty<_quadrangle_4>::polynomial_degree) {
			AKANTU_TO_IMPLEMENT();
			} else {
			for (UInt i = 0; i < coordinates.cols(); ++i) {
			Real x = coordinates(0, i);
			Real y = coordinates(1, i);

			coordMatrix(i, 0) = 1;
			coordMatrix(i, 1) = x;
			coordMatrix(i, 2) = y;
			coordMatrix(i, 3) = x * y;
			}
			}
			}

			/* -------------------------------------------------------------------------- */
			template <>
			inline void
			ShapeFunctions::buildElementalFieldInterpolationMatrix<_quadrangle_8>(
			const Matrix<Real> & coordinates, Matrix<Real> & coordMatrix,
			UInt integration_order) const {

			if (integration_order !=
			ElementClassProperty<_quadrangle_8>::polynomial_degree) {
			AKANTU_TO_IMPLEMENT();
			} else {
			for (UInt i = 0; i < coordinates.cols(); ++i) {
			// UInt j = 0;
			Real x = coordinates(0, i);
			Real y = coordinates(1, i);

			coordMatrix(i, 0) = 1;
			coordMatrix(i, 1) = x;
			coordMatrix(i, 2) = y;
			coordMatrix(i, 3) = x * y;
			// for (UInt e = 0; e <= 2; ++e) {
			// for (UInt n = 0; n <= 2; ++n) {
			// coordMatrix(i, j) = std::pow(x, e) * std::pow(y, n);
			// ++j;
			// }
			// }
			}
			}
			}
			/* -------------------------------------------------------------------------- */
			template <ElementType type>
			inline void ShapeFunctions::interpolateElementalFieldFromIntegrationPoints(
			const Array<Real> & field,
			const Array<Real> & interpolation_points_coordinates_matrices,
			const Array<Real> & quad_points_coordinates_inv_matrices,
			ElementTypeMapArray<Real> & result, const GhostType & ghost_type,
			const Array<UInt> & element_filter) const {
			AKANTU_DEBUG_IN();

			auto nb_element = this->mesh.getNbElement(type, ghost_type);

			auto nb_quad_per_element =
			GaussIntegrationElement<type>::getNbQuadraturePoints();
			auto nb_interpolation_points_per_elem =
			interpolation_points_coordinates_matrices.getNbComponent() /
			nb_quad_per_element;

			if (!result.exists(type, ghost_type))
			result.alloc(nb_element * nb_interpolation_points_per_elem,
			field.getNbComponent(), type, ghost_type);

			if (element_filter != empty_filter)
			nb_element = element_filter.size();

			Matrix<Real> coefficients(nb_quad_per_element, field.getNbComponent());

			auto & result_vec = result(type, ghost_type);

			auto field_it = field.begin_reinterpret(field.getNbComponent(),
			nb_quad_per_element, nb_element);

			auto interpolation_points_coordinates_it =
			interpolation_points_coordinates_matrices.begin(
			nb_interpolation_points_per_elem, nb_quad_per_element);

			auto result_begin = result_vec.begin_reinterpret(
			field.getNbComponent(), nb_interpolation_points_per_elem,
			result_vec.size() / nb_interpolation_points_per_elem);

			auto inv_quad_coord_it = quad_points_coordinates_inv_matrices.begin(
			nb_quad_per_element, nb_quad_per_element);

			/// loop over the elements of the current filter and element type
			for (UInt el = 0; el < nb_element; ++el, ++field_it, ++inv_quad_coord_it,
			++interpolation_points_coordinates_it) {
			/**
			* matrix containing the inversion of the quadrature points'
			* coordinates
			*/
			const auto & inv_quad_coord_matrix = *inv_quad_coord_it;

			/**
			* multiply it by the field values over quadrature points to get
			* the interpolation coefficients
			*/
			coefficients.mul<false, true>(inv_quad_coord_matrix, *field_it);

			/// matrix containing the points' coordinates
			const auto & coord = *interpolation_points_coordinates_it;

			/// multiply the coordinates matrix by the coefficients matrix and store the
			/// result
			Matrix<Real> res(result_begin[element_filter(el)]);
			res.mul<true, true>(coefficients, coord);
			}

			AKANTU_DEBUG_OUT();
			}

			/* -------------------------------------------------------------------------- */
			template <ElementType type>
			inline void ShapeFunctions::interpolateElementalFieldOnIntegrationPoints(
			const Array<Real> & u_el, Array<Real> & uq, const GhostType & ghost_type,
			const Array<Real> & shapes, const Array<UInt> & filter_elements) const {
			auto nb_element = mesh.getNbElement(type, ghost_type);
			auto nb_nodes_per_element = ElementClass<type>::getShapeSize();
			auto nb_points = shapes.size() / mesh.getNbElement(type, ghost_type);
			auto nb_degree_of_freedom = u_el.getNbComponent() / nb_nodes_per_element;

			Array<Real>::const_matrix_iterator N_it;
			Array<Real> * filtered_N = nullptr;
			if (filter_elements != empty_filter) {
			nb_element = filter_elements.size();
			filtered_N = new Array<Real>(0, shapes.getNbComponent());
			FEEngine::filterElementalData(mesh, shapes, *filtered_N, type, ghost_type,
			filter_elements);
			N_it = filtered_N->begin_reinterpret(nb_nodes_per_element, nb_points,
			nb_element);
			} else {
			N_it =
			shapes.begin_reinterpret(nb_nodes_per_element, nb_points, nb_element);
			}

			uq.resize(nb_element * nb_points);

			auto u_it = u_el.begin(nb_degree_of_freedom, nb_nodes_per_element);
			auto inter_u_it =
			uq.begin_reinterpret(nb_degree_of_freedom, nb_points, nb_element);

			for (UInt el = 0; el < nb_element; ++el, ++N_it, ++u_it, ++inter_u_it) {
			const auto & u = *u_it;
			const auto & N = *N_it;
			auto & inter_u = *inter_u_it;

			inter_u.template mul<false, false>(u, N);
			}

			delete filtered_N;
			}

			/* -------------------------------------------------------------------------- */
			template <ElementType type>
			void ShapeFunctions::gradientElementalFieldOnIntegrationPoints(
			const Array<Real> & u_el, Array<Real> & out_nablauq,
			const GhostType & ghost_type, const Array<Real> & shapes_derivatives,
			const Array<UInt> & filter_elements) const {
			AKANTU_DEBUG_IN();

			auto nb_nodes_per_element =
			ElementClass<type>::getNbNodesPerInterpolationElement();
			auto nb_points = integration_points(type, ghost_type).cols();
			auto element_dimension = ElementClass<type>::getNaturalSpaceDimension();
			auto nb_degree_of_freedom = u_el.getNbComponent() / nb_nodes_per_element;
			auto nb_element = mesh.getNbElement(type, ghost_type);

			Array<Real>::const_matrix_iterator B_it;

			Array<Real> * filtered_B = nullptr;
			if (filter_elements != empty_filter) {
			nb_element = filter_elements.size();
			filtered_B = new Array<Real>(0, shapes_derivatives.getNbComponent());
			FEEngine::filterElementalData(mesh, shapes_derivatives, *filtered_B, type,
			ghost_type, filter_elements);
			B_it = filtered_B->begin(element_dimension, nb_nodes_per_element);
			} else {
			B_it = shapes_derivatives.begin(element_dimension, nb_nodes_per_element);
			}

			out_nablauq.resize(nb_element * nb_points);
			auto u_it = u_el.begin(nb_degree_of_freedom, nb_nodes_per_element);
			auto nabla_u_it = out_nablauq.begin(nb_degree_of_freedom, element_dimension);

			for (UInt el = 0; el < nb_element; ++el, ++u_it) {
			const auto & u = *u_it;
			for (UInt q = 0; q < nb_points; ++q, ++B_it, ++nabla_u_it) {
			const auto & B = *B_it;
			auto & nabla_u = *nabla_u_it;
			nabla_u.template mul<false, true>(u, B);
			}
			}

			delete filtered_B;

			AKANTU_DEBUG_OUT();
			}

			/* -------------------------------------------------------------------------- */
			} // namespace akantu

			#endif /* __AKANTU_SHAPE_FUNCTIONS_INLINE_IMPL_HH__ */

rAKA/src/fe_engine/shape_functions_inline_impl.hh3fb8ce4a66affeatures/energy_computa…

shape_functions_inline_impl.hhView Options

rAKA/src/fe_engine/shape_functions_inline_impl.hh
3fb8ce4a66affeatures/energy_computa…

shape_functions_inline_impl.hh
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