From: Maximilian Bergbauer Date: Fri, 28 Apr 2023 12:35:01 +0000 (+0200) Subject: Implement path for is_face = true X-Git-Tag: v9.5.0-rc1~218^2 X-Git-Url: https://gitweb.dealii.org/cgi-bin/gitweb.cgi?a=commitdiff_plain;h=0b19bd7dc75fb7a74227fdf0ecca0cba3fcd97f1;p=dealii.git Implement path for is_face = true --- diff --git a/include/deal.II/matrix_free/fe_point_evaluation.h b/include/deal.II/matrix_free/fe_point_evaluation.h index eed0db3036..df61451d7c 100644 --- a/include/deal.II/matrix_free/fe_point_evaluation.h +++ b/include/deal.II/matrix_free/fe_point_evaluation.h @@ -29,6 +29,7 @@ #include #include +#include #include #include @@ -226,6 +227,7 @@ namespace internal using gradient_type = Tensor<1, dim, Number>; using scalar_gradient_type = Tensor<1, dim, ScalarNumber>; using vectorized_gradient_type = Tensor<1, dim, VectorizedArrayType>; + using interface_vectorized_gradient_type = vectorized_gradient_type; static void read_value(const ScalarNumber vector_entry, @@ -531,6 +533,7 @@ namespace internal using gradient_type = Tensor<1, 1, Number>; using scalar_gradient_type = Tensor<1, 1, ScalarNumber>; using vectorized_gradient_type = Tensor<1, 1, VectorizedArrayType>; + using interface_vectorized_gradient_type = vectorized_gradient_type; static void read_value(const ScalarNumber vector_entry, @@ -733,6 +736,8 @@ public: using scalar_value_type = typename ETT::scalar_value_type; using vectorized_value_type = typename ETT::vectorized_value_type; using gradient_type = typename ETT::gradient_type; + using interface_vectorized_gradient_type = + typename ETT::interface_vectorized_gradient_type; /** * Constructor. @@ -1009,6 +1014,25 @@ private: void do_reinit(); + /** + * Resizes necessary data fields, reads in and renumbers solution values. + * Interpolates onto face if face path is selected. + */ + void + prepare_evaluate_fast( + const ArrayView & solution_values, + const EvaluationFlags::EvaluationFlags &evaluation_flags); + + /** + * Evaluates the actual interpolation on the cell or face for a quadrature + * batch. + */ + void + compute_evaluate_fast(const unsigned int n_shapes, + const unsigned int qb, + vectorized_value_type & value, + interface_vectorized_gradient_type &gradient); + /** * Fast path of the evaluate function. */ @@ -1023,6 +1047,27 @@ private: evaluate_slow(const ArrayView & solution_values, const EvaluationFlags::EvaluationFlags &evaluation_flags); + /** + * Integrates the product of the data passed in by submit_value() and + * submit_gradient() with the values or gradients of test functions on the + * cell or face for a given quadrature batch. + */ + void + compute_integrate_fast(const unsigned int n_shapes, + const unsigned int qb, + const vectorized_value_type & value, + const interface_vectorized_gradient_type &gradient); + + /** + * Addition across the lanes of VectorizedArray as accumulated by the + * compute_integrate_fast_function(), writing the sum into the result vector. + * Applies face contributions to cell contributions for face path. + */ + void + finish_integrate_fast( + const ArrayView & solution_values, + const EvaluationFlags::EvaluationFlags &integration_flags); + /** * Fast path of the integrate function. */ @@ -1092,6 +1137,11 @@ private: */ AlignedVector solution_renumbered_vectorized; + /** + * Temporary array for the use_face_path path (scalar). + */ + AlignedVector scratch_data_scalar; + /** * Temporary array to store the values at the points. */ @@ -1113,6 +1163,12 @@ private: */ const Point *unit_point_ptr; + /** + * Pointer to first unit point batch of current face from MappingInfo, + * set internally during do_reinit(). Needed for use_face_path path. + */ + const Point *unit_point_faces_ptr; + /** * Pointer to real point of first quadrature point of current cell/face from * MappingInfo, set internally during do_reinit(). @@ -1150,6 +1206,24 @@ private: */ unsigned int dofs_per_component; + /** + * Number of unknowns per component, i.e., number of unique basis functions, + * for a restriction to the face of the chosen FiniteElement (or base + * element). This means a (dim-1)-dimensional basis. + */ + unsigned int dofs_per_component_face; + + /** + * Bool indicating if use_face_path path should be chosen. Set during + * do_reinit(). + */ + bool use_face_path; + + /** + * Scalar ShapeInfo object needed for use_face_path path. + */ + internal::MatrixFreeFunctions::ShapeInfo shape_info; + /** * The first selected component in the active base element. */ @@ -1215,6 +1289,12 @@ private: * reinit()) at the vectorized unit points. */ AlignedVector> shapes; + + /** + * Vector containing tensor product shape functions evaluated (during + * reinit()) at the vectorized unit points on faces. + */ + AlignedVector> shapes_faces; }; // ----------------------- template and inline function ---------------------- @@ -1230,6 +1310,7 @@ FEPointEvaluation::FEPointEvaluation( , n_q_points_scalar(numbers::invalid_unsigned_int) , mapping(&mapping) , fe(&fe) + , use_face_path(false) , update_flags(update_flags) , mapping_info_on_the_fly( std::make_unique>( @@ -1254,6 +1335,7 @@ FEPointEvaluation::FEPointEvaluation( , n_q_points_scalar(numbers::invalid_unsigned_int) , mapping(&mapping_info.get_mapping()) , fe(&fe) + , use_face_path(false) , update_flags(mapping_info.get_update_flags()) , mapping_info(&mapping_info) , current_cell_index(numbers::invalid_unsigned_int) @@ -1283,6 +1365,8 @@ FEPointEvaluation::FEPointEvaluation( , unit_gradients(other.unit_gradients) , gradients(other.gradients) , dofs_per_component(other.dofs_per_component) + , dofs_per_component_face(other.dofs_per_component_face) + , use_face_path(false) , component_in_base_element(other.component_in_base_element) , nonzero_shape_function_component(other.nonzero_shape_function_component) , update_flags(other.update_flags) @@ -1299,6 +1383,7 @@ FEPointEvaluation::FEPointEvaluation( , fast_path(other.fast_path) , is_reinitialized(false) , shapes(other.shapes) + , shapes_faces(other.shapes_faces) { connection_is_reinitialized = mapping_info->connect_is_reinitialized( [this]() { this->is_reinitialized = false; }); @@ -1322,6 +1407,8 @@ FEPointEvaluation::FEPointEvaluation( , unit_gradients(other.unit_gradients) , gradients(other.gradients) , dofs_per_component(other.dofs_per_component) + , dofs_per_component_face(other.dofs_per_component_face) + , use_face_path(false) , component_in_base_element(other.component_in_base_element) , nonzero_shape_function_component(other.nonzero_shape_function_component) , update_flags(other.update_flags) @@ -1333,6 +1420,7 @@ FEPointEvaluation::FEPointEvaluation( , fast_path(other.fast_path) , is_reinitialized(false) , shapes(other.shapes) + , shapes_faces(other.shapes_faces) { connection_is_reinitialized = mapping_info->connect_is_reinitialized( [this]() { this->is_reinitialized = false; }); @@ -1380,12 +1468,11 @@ FEPointEvaluation::setup( *fe, base_element_number) && same_base_element) { - internal::MatrixFreeFunctions::ShapeInfo shape_info; - shape_info.reinit(QMidpoint<1>(), *fe, base_element_number); - renumber = shape_info.lexicographic_numbering; - dofs_per_component = shape_info.dofs_per_component_on_cell; - poly = internal::FEPointEvaluation::get_polynomial_space( + renumber = shape_info.lexicographic_numbering; + dofs_per_component = shape_info.dofs_per_component_on_cell; + dofs_per_component_face = shape_info.dofs_per_component_on_face; + poly = internal::FEPointEvaluation::get_polynomial_space( fe->base_element(base_element_number)); polynomials_are_hat_functions = @@ -1393,6 +1480,10 @@ FEPointEvaluation::setup( poly[0].value(1.) == 0. && poly[1].value(0.) == 0. && poly[1].value(1.) == 1.); + const unsigned int size_face = 2 * dofs_per_component_face; + const unsigned int size_cell = dofs_per_component; + scratch_data_scalar.resize(size_face + size_cell); + fast_path = true; } else @@ -1487,7 +1578,7 @@ FEPointEvaluation::reinit( template -void +inline void FEPointEvaluation::do_reinit() { const_cast(n_q_points_scalar) = @@ -1509,11 +1600,20 @@ FEPointEvaluation::do_reinit() return; } + // use face path if mapping_info in face state and number of quadrature points + // is large enough + use_face_path = mapping_info->is_face_state() && n_q_points_scalar >= 6; + // set unit point pointer const unsigned int unit_point_offset = mapping_info->compute_unit_point_index_offset(current_cell_index, current_face_number); - unit_point_ptr = mapping_info->get_unit_point(unit_point_offset); + + if (use_face_path) + unit_point_faces_ptr = + mapping_info->get_unit_point_faces(unit_point_offset); + else + unit_point_ptr = mapping_info->get_unit_point(unit_point_offset); // set data pointers const UpdateFlags update_flags_mapping = @@ -1538,11 +1638,26 @@ FEPointEvaluation::do_reinit() const std::size_t n_batches = (n_q_points_scalar + n_lanes_internal - 1) / n_lanes_internal; const std::size_t n_shapes = poly.size(); - shapes.resize_fast(n_batches * n_shapes); + for (unsigned int qb = 0; qb < n_batches; ++qb) - internal::compute_values_of_array(shapes.data() + qb * n_shapes, - poly, - unit_point_ptr[qb]); + if (use_face_path) + { + if (dim > 1) + { + shapes_faces.resize_fast(n_batches * n_shapes); + internal::compute_values_of_array(shapes_faces.data() + + qb * n_shapes, + poly, + unit_point_faces_ptr[qb]); + } + } + else + { + shapes.resize_fast(n_batches * n_shapes); + internal::compute_values_of_array(shapes.data() + qb * n_shapes, + poly, + unit_point_ptr[qb]); + } } is_reinitialized = true; @@ -1552,51 +1667,170 @@ FEPointEvaluation::do_reinit() template inline void -FEPointEvaluation::evaluate_fast( +FEPointEvaluation::prepare_evaluate_fast( const ArrayView & solution_values, const EvaluationFlags::EvaluationFlags &evaluation_flags) { - // fast path with tensor product evaluation - if (solution_renumbered.size() != dofs_per_component) - solution_renumbered.resize(dofs_per_component); + if (use_face_path) + { + if (solution_renumbered.size() != 2 * dofs_per_component_face) + solution_renumbered.resize(2 * dofs_per_component_face); + } + else + { + if (solution_renumbered.size() != dofs_per_component) + solution_renumbered.resize(dofs_per_component); + } for (unsigned int comp = 0; comp < n_components; ++comp) { const unsigned int *renumber_ptr = renumber.data() + (component_in_base_element + comp) * dofs_per_component; - for (unsigned int i = 0; i < dofs_per_component; ++i) - ETT::read_value(solution_values[renumber_ptr[i]], - comp, - solution_renumbered[i]); + if (use_face_path) + { + ScalarNumber *input = scratch_data_scalar.begin(); + ScalarNumber *output = input + dofs_per_component; + + for (unsigned int i = 0; i < dofs_per_component; ++i) + input[i] = solution_values[renumber_ptr[i]]; + + internal::FEFaceNormalEvaluationImpl:: + template interpolate(1, + evaluation_flags, + shape_info, + input, + output, + current_face_number); + + for (unsigned int i = 0; i < 2 * dofs_per_component_face; ++i) + ETT::read_value(output[i], comp, solution_renumbered[i]); + } + else + { + for (unsigned int i = 0; i < dofs_per_component; ++i) + ETT::read_value(solution_values[renumber_ptr[i]], + comp, + solution_renumbered[i]); + } } // unit gradients are currently only implemented with the fast tensor // path unit_gradients.resize(n_q_points, numbers::signaling_nan()); +} - // loop over quadrature batches qb / points q - const unsigned int n_shapes = poly.size(); - for (unsigned int qb = 0, q = 0; q < n_q_points_scalar; - ++qb, q += n_lanes_internal) + + +template +inline void +FEPointEvaluation::compute_evaluate_fast( + const unsigned int n_shapes, + const unsigned int qb, + vectorized_value_type & value, + interface_vectorized_gradient_type &gradient) +{ + if (use_face_path) { - // compute - const auto val_and_grad = + const std::array interpolated_value = + polynomials_are_hat_functions ? + internal::evaluate_tensor_product_value_and_gradient_linear< + dim - 1, + scalar_value_type, + VectorizedArrayType, + 2>(n_shapes, solution_renumbered.data(), unit_point_faces_ptr[qb]) : + internal::evaluate_tensor_product_value_and_gradient_shapes< + dim - 1, + scalar_value_type, + VectorizedArrayType, + 2>(shapes_faces.data() + qb * n_shapes, + n_shapes, + solution_renumbered.data()); + + value = interpolated_value[dim - 1]; + // reorder derivative from tangential/normal derivatives into tensor in + // physical coordinates + if (current_face_number / 2 == 0) + { + gradient[0] = interpolated_value[dim]; + if (dim > 1) + gradient[1] = interpolated_value[0]; + if (dim > 2) + gradient[2] = interpolated_value[1]; + } + else if (current_face_number / 2 == 1) + { + if (dim > 1) + gradient[1] = interpolated_value[dim]; + if (dim == 3) + { + gradient[0] = interpolated_value[1]; + gradient[2] = interpolated_value[0]; + } + else if (dim == 2) + gradient[0] = interpolated_value[0]; + else + Assert(false, ExcInternalError()); + } + else if (current_face_number / 2 == 2) + { + if (dim > 2) + { + gradient[0] = interpolated_value[0]; + gradient[1] = interpolated_value[1]; + gradient[2] = interpolated_value[dim]; + } + else + Assert(false, ExcInternalError()); + } + else + Assert(false, ExcInternalError()); + } + else + { + const std::array result = polynomials_are_hat_functions ? internal::evaluate_tensor_product_value_and_gradient_linear( - poly, solution_renumbered, unit_point_ptr[qb]) : + n_shapes, solution_renumbered.data(), unit_point_ptr[qb]) : internal::evaluate_tensor_product_value_and_gradient_shapes< dim, scalar_value_type, VectorizedArrayType>(shapes.data() + qb * n_shapes, n_shapes, - solution_renumbered); + solution_renumbered.data()); + gradient[0] = result[0]; + if (dim > 1) + gradient[1] = result[1]; + if (dim > 2) + gradient[2] = result[2]; + value = result[dim]; + } +} + + + +template +inline void +FEPointEvaluation::evaluate_fast( + const ArrayView & solution_values, + const EvaluationFlags::EvaluationFlags &evaluation_flags) +{ + prepare_evaluate_fast(solution_values, evaluation_flags); + + // loop over quadrature batches qb / points q + const unsigned int n_shapes = poly.size(); + vectorized_value_type value; + interface_vectorized_gradient_type gradient; + for (unsigned int qb = 0, q = 0; q < n_q_points_scalar; + ++qb, q += n_lanes_internal) + { + compute_evaluate_fast(n_shapes, qb, value, gradient); if (evaluation_flags & EvaluationFlags::values) { for (unsigned int v = 0; v < stride && (stride == 1 || q + v < n_q_points_scalar); ++v) - ETT::set_value(val_and_grad.first, v, values[qb * stride + v]); + ETT::set_value(value, v, values[qb * stride + v]); } if (evaluation_flags & EvaluationFlags::gradients) { @@ -1609,7 +1843,7 @@ FEPointEvaluation::evaluate_fast( ++v) { const unsigned int offset = qb * stride + v; - ETT::set_gradient(val_and_grad.second, v, unit_gradients[offset]); + ETT::set_gradient(gradient, v, unit_gradients[offset]); gradients[offset] = apply_transformation(inverse_jacobian_ptr[offset].transpose(), unit_gradients[offset]); @@ -1729,6 +1963,148 @@ FEPointEvaluation::evaluate( +template +inline void +FEPointEvaluation::compute_integrate_fast( + const unsigned int n_shapes, + const unsigned int qb, + const vectorized_value_type & value, + const interface_vectorized_gradient_type &gradient) +{ + if (use_face_path) + { + std::array value_face = {}; + Tensor<1, dim - 1, vectorized_value_type> gradient_in_face; + + value_face[0] = value; + // fill derivative in physical coordinates into tangential/normal + // derivatives + if (current_face_number / 2 == 0) + { + value_face[1] = gradient[0]; + if (dim > 1) + gradient_in_face[0] = gradient[1]; + if (dim > 2) + gradient_in_face[1] = gradient[2]; + } + else if (current_face_number / 2 == 1) + { + if (dim > 1) + value_face[1] = gradient[1]; + if (dim == 3) + { + gradient_in_face[0] = gradient[2]; + gradient_in_face[1] = gradient[0]; + } + else if (dim == 2) + gradient_in_face[0] = gradient[0]; + else + Assert(false, ExcInternalError()); + } + else if (current_face_number / 2 == 2) + { + if (dim > 2) + { + value_face[1] = gradient[2]; + gradient_in_face[0] = gradient[0]; + gradient_in_face[1] = gradient[1]; + } + else + Assert(false, ExcInternalError()); + } + else + Assert(false, ExcInternalError()); + + internal::integrate_tensor_product_value_and_gradient< + dim - 1, + VectorizedArrayType, + vectorized_value_type, + 2>(shapes_faces.data() + qb * n_shapes, + n_shapes, + value_face.data(), + gradient_in_face, + solution_renumbered_vectorized.data(), + unit_point_faces_ptr[qb], + polynomials_are_hat_functions, + qb != 0); + } + else + { + internal::integrate_tensor_product_value_and_gradient< + dim, + VectorizedArrayType, + vectorized_value_type>(shapes.data() + qb * n_shapes, + n_shapes, + &value, + gradient, + solution_renumbered_vectorized.data(), + unit_point_ptr[qb], + polynomials_are_hat_functions, + qb != 0); + } +} + + + +template +inline void +FEPointEvaluation::finish_integrate_fast( + const ArrayView & solution_values, + const EvaluationFlags::EvaluationFlags &integration_flags) +{ + std::fill(solution_values.begin(), solution_values.end(), ScalarNumber()); + for (unsigned int comp = 0; comp < n_components; ++comp) + { + if (use_face_path) + { + const unsigned int size_input = 2 * dofs_per_component_face; + ScalarNumber * input = scratch_data_scalar.begin(); + ScalarNumber * output = input + size_input; + + for (unsigned int i = 0; i < 2 * dofs_per_component_face; ++i) + { + VectorizedArrayType vectorized_input; + ETT::write_value(vectorized_input, + comp, + solution_renumbered_vectorized[i]); + for (unsigned int lane = n_lanes_internal / 2; lane > 0; + lane /= 2) + for (unsigned int j = 0; j < lane; ++j) + vectorized_input[j] += vectorized_input[lane + j]; + input[i] = vectorized_input[0]; + } + + internal::FEFaceNormalEvaluationImpl:: + template interpolate(1, + integration_flags, + shape_info, + input, + output, + current_face_number); + + for (unsigned int i = 0; i < dofs_per_component; ++i) + solution_values[renumber[comp * dofs_per_component + i]] = + output[i]; + } + else + { + for (unsigned int i = 0; i < dofs_per_component; ++i) + { + VectorizedArrayType result; + ETT::write_value(result, comp, solution_renumbered_vectorized[i]); + for (unsigned int lane = n_lanes_internal / 2; lane > 0; + lane /= 2) + for (unsigned int j = 0; j < lane; ++j) + result[j] += result[lane + j]; + solution_values[renumber[comp * dofs_per_component + i]] = + result[0]; + } + } + } +} + + + template inline void FEPointEvaluation::integrate_fast( @@ -1736,10 +2112,16 @@ FEPointEvaluation::integrate_fast( const EvaluationFlags::EvaluationFlags &integration_flags) { // fast path with tensor product integration - if (solution_renumbered_vectorized.size() != dofs_per_component) - solution_renumbered_vectorized.resize(dofs_per_component); - // zero content - solution_renumbered_vectorized.fill(vectorized_value_type()); + if (use_face_path) + { + if (solution_renumbered_vectorized.size() != 2 * dofs_per_component_face) + solution_renumbered_vectorized.resize(2 * dofs_per_component_face); + } + else + { + if (solution_renumbered_vectorized.size() != dofs_per_component) + solution_renumbered_vectorized.resize(dofs_per_component); + } // loop over quadrature batches qb / points q const unsigned int n_shapes = poly.size(); @@ -1796,37 +2178,11 @@ FEPointEvaluation::integrate_fast( } } - // compute - if (polynomials_are_hat_functions) - internal::integrate_add_tensor_product_value_and_gradient_linear( - poly, - value, - gradient, - solution_renumbered_vectorized, - unit_point_ptr[qb]); - else - internal::integrate_add_tensor_product_value_and_gradient_shapes< - dim, - VectorizedArrayType, - vectorized_value_type>(shapes.data() + qb * n_shapes, - n_shapes, - value, - gradient, - solution_renumbered_vectorized); + compute_integrate_fast(n_shapes, qb, value, gradient); } // add between the lanes and write into the result - std::fill(solution_values.begin(), solution_values.end(), ScalarNumber()); - for (unsigned int comp = 0; comp < n_components; ++comp) - for (unsigned int i = 0; i < dofs_per_component; ++i) - { - VectorizedArrayType result; - ETT::write_value(result, comp, solution_renumbered_vectorized[i]); - for (unsigned int lane = n_lanes_internal / 2; lane > 0; lane /= 2) - for (unsigned int j = 0; j < lane; ++j) - result[j] += result[lane + j]; - solution_values[renumber[comp * dofs_per_component + i]] = result[0]; - } + finish_integrate_fast(solution_values, integration_flags); } diff --git a/include/deal.II/matrix_free/tensor_product_kernels.h b/include/deal.II/matrix_free/tensor_product_kernels.h index 8f12389759..df3cb6cbd4 100644 --- a/include/deal.II/matrix_free/tensor_product_kernels.h +++ b/include/deal.II/matrix_free/tensor_product_kernels.h @@ -3021,55 +3021,103 @@ namespace internal + /** + * Specialization of above function for dim = 0. Should not be called. + */ + template + inline void + compute_values_of_array(dealii::ndarray *, + const std::vector> &, + const Point<0, Number> &) + { + Assert(false, ExcInternalError()); + } + + + /** * Interpolate inner dimensions of tensor product shape functions. */ - template + template inline #ifndef DEBUG DEAL_II_ALWAYS_INLINE #endif - std::array::type, 3> - do_interpolate_xy(const std::vector & values, + std::array::type, + 2 + n_values> + do_interpolate_xy(const Number * values, const std::vector & renumber, const dealii::ndarray *shapes, const int n_shapes_runtime, int & i) { + static_assert(0 <= dim && dim <= 3, "Only dim=0,1,2,3 implemented"); + static_assert(1 <= n_values && n_values <= 2, + "Only n_values=1,2 implemented"); + const int n_shapes = length > 0 ? length : n_shapes_runtime; - using Number3 = typename ProductTypeNoPoint::type; - std::array result = {}; + + // If n_values > 1, we want to interpolate from a second array, + // placed in the same array immediately after the main data. This + // is used to interpolate normal derivatives onto faces. + const Number *values_2 = + n_values > 1 ? + values + (length > 0 ? Utilities::pow(length, dim) : + Utilities::fixed_power(n_shapes_runtime)) : + nullptr; + using Number3 = typename ProductTypeNoPoint::type; + std::array result = {}; for (int i1 = 0; i1 < (dim > 1 ? n_shapes : 1); ++i1) { // Interpolation + derivative x direction - Number3 value = {}, deriv = {}; + std::array inner_result = {}; // Distinguish the inner loop based on whether we have a // renumbering or not if (renumber.empty()) for (int i0 = 0; i0 < n_shapes; ++i0, ++i) { - value += shapes[i0][0][0] * values[i]; - deriv += shapes[i0][1][0] * values[i]; + // gradient + inner_result[0] += shapes[i0][1][0] * values[i]; + // values + inner_result[1] += shapes[i0][0][0] * values[i]; + if (n_values > 1) + inner_result[2] += shapes[i0][0][0] * values_2[i]; } else for (int i0 = 0; i0 < n_shapes; ++i0, ++i) { - value += shapes[i0][0][0] * values[renumber[i]]; - deriv += shapes[i0][1][0] * values[renumber[i]]; + // gradient + inner_result[0] += shapes[i0][1][0] * values[renumber[i]]; + // values + inner_result[1] += shapes[i0][0][0] * values[renumber[i]]; + if (n_values > 1) + inner_result[2] += shapes[i0][0][0] * values_2[renumber[i]]; } if (dim > 1) { // Interpolation + derivative in y direction - result[0] += value * shapes[i1][0][1]; - result[1] += deriv * shapes[i1][0][1]; - result[2] += value * shapes[i1][1][1]; + // gradient + result[0] += inner_result[0] * shapes[i1][0][1]; + result[1] += inner_result[1] * shapes[i1][1][1]; + // values + result[2] += inner_result[1] * shapes[i1][0][1]; + if (n_values > 1) + result[3] += inner_result[2] * shapes[i1][0][1]; } else { - result[0] = value; - result[1] = deriv; + // gradient + result[0] = inner_result[0]; + // values + result[1] = inner_result[1]; + if (n_values > 1) + result[2] = inner_result[2]; } } return result; @@ -3081,64 +3129,88 @@ namespace internal * Interpolates the values and gradients into the points specified in * @p compute_values_of_array() with help of the precomputed @p shapes. */ - template - inline std::pair< - typename ProductTypeNoPoint::type, - Tensor<1, dim, typename ProductTypeNoPoint::type>> + template + inline std::array::type, + dim + n_values> evaluate_tensor_product_value_and_gradient_shapes( const dealii::ndarray *shapes, const int n_shapes, - const std::vector & values, + const Number * values, const std::vector & renumber = {}) { - static_assert(dim >= 1 && dim <= 3, "Only dim=1,2,3 implemented"); + static_assert(0 <= dim && dim <= 3, "Only dim=0,1,2,3 implemented"); + static_assert(1 <= n_values && n_values <= 2, + "Only n_values=1,2 implemented"); using Number3 = typename ProductTypeNoPoint::type; - AssertDimension(Utilities::pow(n_shapes, dim), values.size()); - Assert(renumber.empty() || renumber.size() == values.size(), - ExcDimensionMismatch(renumber.size(), values.size())); + std::array result = {}; + if (dim == 0) + { + // We only need the interpolation of the value and normal derivatives on + // faces of a 1d element. As the interpolation is the value at the + // point, simply set the result vector accordingly. + result[0] = values[0]; + if (n_values > 1) + result[1] = values[1]; + return result; + } // Go through the tensor product of shape functions and interpolate // with optimal algorithm - std::pair> result = {}; for (int i2 = 0, i = 0; i2 < (dim > 2 ? n_shapes : 1); ++i2) { - std::array inner_result; + std::array inner_result; // Generate separate code with known loop bounds for the most common // cases if (n_shapes == 2) - inner_result = do_interpolate_xy( + inner_result = do_interpolate_xy( values, renumber, shapes, n_shapes, i); else if (n_shapes == 3) - inner_result = do_interpolate_xy( + inner_result = do_interpolate_xy( values, renumber, shapes, n_shapes, i); else if (n_shapes == 4) - inner_result = do_interpolate_xy( + inner_result = do_interpolate_xy( values, renumber, shapes, n_shapes, i); else if (n_shapes == 5) - inner_result = do_interpolate_xy( + inner_result = do_interpolate_xy( values, renumber, shapes, n_shapes, i); else if (n_shapes == 6) - inner_result = do_interpolate_xy( + inner_result = do_interpolate_xy( values, renumber, shapes, n_shapes, i); else - inner_result = do_interpolate_xy( + inner_result = do_interpolate_xy( values, renumber, shapes, n_shapes, i); if (dim == 3) { - // Interpolation + derivative in z direction - result.first += inner_result[0] * shapes[i2][0][2]; - result.second[0] += inner_result[1] * shapes[i2][0][2]; - result.second[1] += inner_result[2] * shapes[i2][0][2]; - result.second[2] += inner_result[0] * shapes[i2][1][2]; + // derivative + interpolation in z direction + // gradient + result[0] += inner_result[0] * shapes[i2][0][2]; + result[1] += inner_result[1] * shapes[i2][0][2]; + result[2] += inner_result[2] * shapes[i2][1][2]; + // values + result[3] += inner_result[2] * shapes[i2][0][2]; + if (n_values > 1) + result[4] += inner_result[3] * shapes[i2][0][2]; + } + else if (dim == 2) + { + // gradient + result[0] = inner_result[0]; + result[1] = inner_result[1]; + // values + result[2] = inner_result[2]; + if (n_values > 1) + result[3] = inner_result[3]; } else { - result.first = inner_result[0]; - result.second[0] = inner_result[1]; - if (dim > 1) - result.second[1] = inner_result[2]; + // gradient + result[0] = inner_result[0]; + // values + result[1] = inner_result[1]; + if (n_values > 1) + result[2] = inner_result[2]; } } @@ -3151,70 +3223,89 @@ namespace internal * Specializes @p evaluate_tensor_product_value_and_gradient() for linear * polynomials which massively reduces the necessary instructions. */ - template - inline std::pair< - typename ProductTypeNoPoint::type, - Tensor<1, dim, typename ProductTypeNoPoint::type>> + template + inline std::array::type, + dim + n_values> evaluate_tensor_product_value_and_gradient_linear( - const std::vector> &poly, - const std::vector & values, - const Point & p, - const std::vector & renumber = {}) + const unsigned int n_shapes, + const Number * values, + const Point & p, + const std::vector &renumber = {}) { - (void)poly; - static_assert(dim >= 1 && dim <= 3, "Only dim=1,2,3 implemented"); + static_assert(0 <= dim && dim <= 3, "Only dim=0,1,2,3 implemented"); + static_assert(1 <= n_values && n_values <= 2, + "Only n_values=1,2 implemented"); using Number3 = typename ProductTypeNoPoint::type; - AssertDimension(Utilities::pow(poly.size(), dim), values.size()); - Assert(renumber.empty() || renumber.size() == values.size(), - ExcDimensionMismatch(renumber.size(), values.size())); + // If n_values > 1, we want to interpolate from a second array, + // placed in the same array immediately after the main data. This + // is used to interpolate normal derivatives onto faces. + const Number *values_2 = + n_values > 1 ? values + Utilities::fixed_power(n_shapes) : nullptr; - AssertDimension(poly.size(), 2); + AssertDimension(n_shapes, 2); for (unsigned int i = 0; i < renumber.size(); ++i) AssertDimension(renumber[i], i); - if (dim == 1) + std::array result; + if (dim == 0) { - Tensor<1, dim, Number3> derivative; - derivative[0] = values[1] - values[0]; - return std::make_pair((1. - p[0]) * values[0] + p[0] * values[1], - derivative); + // we only need the value on faces of a 1d element + result[0] = values[0]; + if (n_values > 1) + result[1] = values_2[0]; + } + else if (dim == 1) + { + // gradient + result[0] = values[1] - values[0]; + // values + const Number2 x0 = 1. - p[0], x1 = p[0]; + result[1] = x0 * values[0] + x1 * values[1]; + if (n_values > 1) + result[2] = x0 * values_2[0] + x1 * values_2[1]; } else if (dim == 2) { - const Number2 x0 = 1. - p[0], x1 = p[0]; - const Number3 tmp0 = x0 * values[0] + x1 * values[1]; - const Number3 tmp1 = x0 * values[2] + x1 * values[3]; - const Number3 mapped = (1. - p[1]) * tmp0 + p[1] * tmp1; - Tensor<1, dim, Number3> derivative; - derivative[0] = (1. - p[1]) * (values[1] - values[0]) + - p[1] * (values[3] - values[2]); - derivative[1] = tmp1 - tmp0; - return std::make_pair(mapped, derivative); + const Number2 x0 = 1. - p[0], x1 = p[0], y0 = 1. - p[1], y1 = p[1]; + const Number3 tmp0 = x0 * values[0] + x1 * values[1]; + const Number3 tmp1 = x0 * values[2] + x1 * values[3]; + // gradient + result[0] = y0 * (values[1] - values[0]) + y1 * (values[3] - values[2]); + result[1] = tmp1 - tmp0; + // values + result[2] = y0 * tmp0 + y1 * tmp1; + if (n_values > 1) + { + const Number3 tmp0_2 = x0 * values_2[0] + x1 * values_2[1]; + const Number3 tmp1_2 = x0 * values_2[2] + x1 * values_2[3]; + result[3] = y0 * tmp0_2 + y1 * tmp1_2; + } } else if (dim == 3) { const Number2 x0 = 1. - p[0], x1 = p[0], y0 = 1. - p[1], y1 = p[1], z0 = 1. - p[2], z1 = p[2]; - const Number3 tmp0 = x0 * values[0] + x1 * values[1]; - const Number3 tmp1 = x0 * values[2] + x1 * values[3]; - const Number3 tmpy0 = y0 * tmp0 + y1 * tmp1; - const Number3 tmp2 = x0 * values[4] + x1 * values[5]; - const Number3 tmp3 = x0 * values[6] + x1 * values[7]; - const Number3 tmpy1 = y0 * tmp2 + y1 * tmp3; - const Number3 mapped = z0 * tmpy0 + z1 * tmpy1; - Tensor<1, dim, Number3> derivative; - derivative[2] = tmpy1 - tmpy0; - derivative[1] = z0 * (tmp1 - tmp0) + z1 * (tmp3 - tmp2); - derivative[0] = + const Number3 tmp0 = x0 * values[0] + x1 * values[1]; + const Number3 tmp1 = x0 * values[2] + x1 * values[3]; + const Number3 tmpy0 = y0 * tmp0 + y1 * tmp1; + const Number3 tmp2 = x0 * values[4] + x1 * values[5]; + const Number3 tmp3 = x0 * values[6] + x1 * values[7]; + const Number3 tmpy1 = y0 * tmp2 + y1 * tmp3; + + // gradient + result[2] = tmpy1 - tmpy0; + result[1] = z0 * (tmp1 - tmp0) + z1 * (tmp3 - tmp2); + result[0] = z0 * (y0 * (values[1] - values[0]) + y1 * (values[3] - values[2])) + z1 * (y0 * (values[5] - values[4]) + y1 * (values[7] - values[6])); - return std::make_pair(mapped, derivative); + // value + result[3] = z0 * tmpy0 + z1 * tmpy1; + Assert(n_values == 1, ExcNotImplemented()); } - // work around a compile error: missing return statement - return std::make_pair(Number3(), Tensor<1, dim, Number3>()); + return result; } @@ -3264,25 +3355,27 @@ namespace internal const bool d_linear = false, const std::vector & renumber = {}) { + using Number3 = typename ProductTypeNoPoint::type; + + std::array result; if (d_linear) { - return evaluate_tensor_product_value_and_gradient_linear(poly, - values, - p, - renumber); + result = evaluate_tensor_product_value_and_gradient_linear( + poly.size(), values.data(), p, renumber); } else { AssertIndexRange(poly.size(), 200); std::array, 200> shapes; - compute_values_of_array(shapes.data(), poly, p); - - return evaluate_tensor_product_value_and_gradient_shapes( - shapes.data(), poly.size(), values, renumber); + result = evaluate_tensor_product_value_and_gradient_shapes( + shapes.data(), poly.size(), values.data(), renumber); } + return std::make_pair(result[dim], + Tensor<1, dim, Number3>( + ArrayView(result.data(), dim))); } @@ -3487,18 +3580,30 @@ namespace internal /** * Test inner dimensions of tensor product shape functions and accumulate. */ - template + template inline #ifndef DEBUG DEAL_II_ALWAYS_INLINE #endif void - do_apply_test_functions_xy(AlignedVector & values, - const dealii::ndarray *shapes, - const std::array &test_grads_value, - const int n_shapes_runtime, - int & i) + do_apply_test_functions_xy( + Number2 * values, + const dealii::ndarray * shapes, + const std::array &test_grads_value, + const int n_shapes_runtime, + int & i) { + static_assert(0 <= dim && dim <= 3, "Only dim=0,1,2,3 implemented"); + static_assert(1 <= n_values && n_values <= 2, + "Only n_values=1,2 implemented"); + + // Note that 'add' is a template argument, so the compiler will remove + // these checks if (length > 0) { constexpr unsigned int array_size = length > 0 ? length : 1; @@ -3518,12 +3623,29 @@ namespace internal const Number2 test_grad_xy = dim > 1 ? test_grads_value[0] * shapes[i1][0][1] : test_grads_value[0]; - - Number2 *values_ptr = values.data() + i + i1 * length; + Number2 test_value_y_2; + if (n_values > 1) + test_value_y_2 = dim > 1 ? + test_grads_value[3] * shapes[i1][0][1] : + test_grads_value[3]; + + Number2 *values_ptr = values + i + i1 * length; + Number2 *values_ptr_2 = + n_values > 1 ? values_ptr + Utilities::pow(length, dim) : nullptr; for (int i0 = 0; i0 < length; ++i0) { - values_ptr[i0] += shape_values_x[i0] * test_value_y; + if (add) + values_ptr[i0] += shape_values_x[i0] * test_value_y; + else + values_ptr[i0] = shape_values_x[i0] * test_value_y; values_ptr[i0] += shape_derivs_x[i0] * test_grad_xy; + if (n_values > 1) + { + if (add) + values_ptr_2[i0] += shape_values_x[i0] * test_value_y_2; + else + values_ptr_2[i0] = shape_values_x[i0] * test_value_y_2; + } } } i += (dim > 1 ? length * length : length); @@ -3539,12 +3661,31 @@ namespace internal const Number2 test_grad_xy = dim > 1 ? test_grads_value[0] * shapes[i1][0][1] : test_grads_value[0]; - - Number2 *values_ptr = values.data() + i + i1 * n_shapes_runtime; + Number2 test_value_y_2; + if (n_values > 1) + test_value_y_2 = dim > 1 ? + test_grads_value[3] * shapes[i1][0][1] : + test_grads_value[3]; + + Number2 *values_ptr = values + i + i1 * n_shapes_runtime; + Number2 *values_ptr_2 = + n_values > 1 ? + values_ptr + Utilities::fixed_power(n_shapes_runtime) : + nullptr; for (int i0 = 0; i0 < n_shapes_runtime; ++i0) { - values_ptr[i0] += shapes[i0][0][0] * test_value_y; + if (add) + values_ptr[i0] += shapes[i0][0][0] * test_value_y; + else + values_ptr[i0] = shapes[i0][0][0] * test_value_y; values_ptr[i0] += shapes[i0][1][0] * test_grad_xy; + if (n_values > 1) + { + if (add) + values_ptr_2[i0] += shapes[i0][0][0] * test_value_y_2; + else + values_ptr_2[i0] = shapes[i0][0][0] * test_value_y_2; + } } } i += (dim > 1 ? n_shapes_runtime * n_shapes_runtime : n_shapes_runtime); @@ -3554,24 +3695,47 @@ namespace internal /** - * Same as evaluate_tensor_product_value_and_gradient() but for integration. + * Same as evaluate_tensor_product_value_and_gradient_shapes() but for + * integration. */ - template + template inline void integrate_add_tensor_product_value_and_gradient_shapes( const dealii::ndarray *shapes, const int n_shapes, - const Number2 & value, + const Number2 * value, const Tensor<1, dim, Number2> & gradient, - AlignedVector & values) + Number2 * values) { - static_assert(dim >= 1 && dim <= 3, "Only dim=1,2,3 implemented"); + static_assert(0 <= dim && dim <= 3, "Only dim=0,1,2,3 implemented"); + static_assert(1 <= n_values && n_values <= 2, + "Only n_values=1,2 implemented"); - // as in evaluate, use `int` type to produce better code in this context - AssertDimension(Utilities::pow(n_shapes, dim), values.size()); + // Note that 'add' is a template argument, so the compiler will remove + // these checks + if (dim == 0) + { + if (add) + values[0] += value[0]; + else + values[0] = value[0]; + if (n_values > 1) + { + if (add) + values[1] += value[1]; + else + values[1] = value[1]; + } + return; + } // Implement the transpose of the function above - std::array test_grads_value; + // as in evaluate, use `int` type to produce better code in this context + std::array test_grads_value; for (int i2 = 0, i = 0; i2 < (dim > 2 ? n_shapes : 1); ++i2) { // test grad x @@ -3583,28 +3747,31 @@ namespace internal // test value z test_grads_value[2] = dim > 2 ? - (value * shapes[i2][0][2] + gradient[2] * shapes[i2][1][2]) : - value; + (value[0] * shapes[i2][0][2] + gradient[2] * shapes[i2][1][2]) : + value[0]; + if (n_values > 1) + test_grads_value[3] = + dim > 2 ? value[1] * shapes[i2][0][2] : value[1]; // Generate separate code with known loop bounds for the most common // cases if (n_shapes == 2) - do_apply_test_functions_xy( + do_apply_test_functions_xy( values, shapes, test_grads_value, n_shapes, i); else if (n_shapes == 3) - do_apply_test_functions_xy( + do_apply_test_functions_xy( values, shapes, test_grads_value, n_shapes, i); else if (n_shapes == 4) - do_apply_test_functions_xy( + do_apply_test_functions_xy( values, shapes, test_grads_value, n_shapes, i); else if (n_shapes == 5) - do_apply_test_functions_xy( + do_apply_test_functions_xy( values, shapes, test_grads_value, n_shapes, i); else if (n_shapes == 6) - do_apply_test_functions_xy( + do_apply_test_functions_xy( values, shapes, test_grads_value, n_shapes, i); else - do_apply_test_functions_xy( + do_apply_test_functions_xy( values, shapes, test_grads_value, n_shapes, i); } } @@ -3612,55 +3779,127 @@ namespace internal /** - * Specializes @p evaluate_tensor_product_value_and_gradient() for linear + * Specializes @p integrate_add_tensor_product_value_and_gradient_shapes() for linear * polynomials which massively reduces the necessary instructions. */ - template + template inline void integrate_add_tensor_product_value_and_gradient_linear( - const std::vector> &poly, - const Number2 & value, - const Tensor<1, dim, Number2> & gradient, - AlignedVector & values, - const Point & p) + const unsigned int n_shapes, + const Number2 * value, + const Tensor<1, dim, Number2> &gradient, + Number2 * values, + const Point & p) { - (void)poly; - static_assert(dim >= 1 && dim <= 3, "Only dim=1,2,3 implemented"); - - AssertDimension(Utilities::pow(poly.size(), dim), values.size()); + (void)n_shapes; + static_assert(0 <= dim && dim <= 3, "Only dim=0,1,2,3 implemented"); + static_assert(1 <= n_values && n_values <= 2, + "Only n_values=1,2 implemented"); - AssertDimension(poly.size(), 2); + AssertDimension(n_shapes, 2); - if (dim == 1) + // Note that 'add' is a template argument, so the compiler will remove + // these checks + if (dim == 0) + { + if (add) + values[0] += value[0]; + else + values[0] = value[0]; + if (n_values > 1) + { + if (add) + values[1] += value[1]; + else + values[1] = value[1]; + } + } + else if (dim == 1) { const auto x0 = 1. - p[0], x1 = p[0]; - - values[0] += value * x0 - gradient[0]; - values[1] += value * x1 + gradient[0]; + if (add) + { + values[0] += value[0] * x0 - gradient[0]; + values[1] += value[0] * x1 + gradient[0]; + } + else + { + values[0] = value[0] * x0 - gradient[0]; + values[1] = value[0] * x1 + gradient[0]; + } + if (n_values > 1) + { + if (add) + { + values[2] += value[1] * x0; + values[3] += value[1] * x1; + } + else + { + values[2] = value[1] * x0; + values[3] = value[1] * x1; + } + } } else if (dim == 2) { const auto x0 = 1. - p[0], x1 = p[0], y0 = 1. - p[1], y1 = p[1]; - const auto test_value_y0 = value * y0 - gradient[1]; + const auto test_value_y0 = value[0] * y0 - gradient[1]; const auto test_grad_xy0 = gradient[0] * y0; - const auto test_value_y1 = value * y1 + gradient[1]; + const auto test_value_y1 = value[0] * y1 + gradient[1]; const auto test_grad_xy1 = gradient[0] * y1; - values[0] += x0 * test_value_y0 - test_grad_xy0; - values[1] += x1 * test_value_y0 + test_grad_xy0; - values[2] += x0 * test_value_y1 - test_grad_xy1; - values[3] += x1 * test_value_y1 + test_grad_xy1; + if (add) + { + values[0] += x0 * test_value_y0 - test_grad_xy0; + values[1] += x1 * test_value_y0 + test_grad_xy0; + values[2] += x0 * test_value_y1 - test_grad_xy1; + values[3] += x1 * test_value_y1 + test_grad_xy1; + } + else + { + values[0] = x0 * test_value_y0 - test_grad_xy0; + values[1] = x1 * test_value_y0 + test_grad_xy0; + values[2] = x0 * test_value_y1 - test_grad_xy1; + values[3] = x1 * test_value_y1 + test_grad_xy1; + } + + if (n_values > 1) + { + const auto test_value_y0_2 = value[1] * y0; + const auto test_value_y1_2 = value[1] * y1; + + if (add) + { + values[4] += x0 * test_value_y0_2; + values[5] += x1 * test_value_y0_2; + values[6] += x0 * test_value_y1_2; + values[7] += x1 * test_value_y1_2; + } + else + { + values[4] = x0 * test_value_y0_2; + values[5] = x1 * test_value_y0_2; + values[6] = x0 * test_value_y1_2; + values[7] = x1 * test_value_y1_2; + } + } } else if (dim == 3) { + Assert(n_values == 1, ExcNotImplemented()); const auto x0 = 1. - p[0], x1 = p[0], y0 = 1. - p[1], y1 = p[1], z0 = 1. - p[2], z1 = p[2]; - const auto test_value_z0 = value * z0 - gradient[2]; + const auto test_value_z0 = value[0] * z0 - gradient[2]; const auto test_grad_x0 = gradient[0] * z0; const auto test_grad_y0 = gradient[1] * z0; - const auto test_value_z1 = value * z1 + gradient[2]; + const auto test_value_z1 = value[0] * z1 + gradient[2]; const auto test_grad_x1 = gradient[0] * z1; const auto test_grad_y1 = gradient[1] * z1; @@ -3673,14 +3912,83 @@ namespace internal const auto test_value_y11 = test_value_z1 * y1 + test_grad_y1; const auto test_grad_xy11 = test_grad_x1 * y1; - values[0] += x0 * test_value_y00 - test_grad_xy00; - values[1] += x1 * test_value_y00 + test_grad_xy00; - values[2] += x0 * test_value_y01 - test_grad_xy01; - values[3] += x1 * test_value_y01 + test_grad_xy01; - values[4] += x0 * test_value_y10 - test_grad_xy10; - values[5] += x1 * test_value_y10 + test_grad_xy10; - values[6] += x0 * test_value_y11 - test_grad_xy11; - values[7] += x1 * test_value_y11 + test_grad_xy11; + if (add) + { + values[0] += x0 * test_value_y00 - test_grad_xy00; + values[1] += x1 * test_value_y00 + test_grad_xy00; + values[2] += x0 * test_value_y01 - test_grad_xy01; + values[3] += x1 * test_value_y01 + test_grad_xy01; + values[4] += x0 * test_value_y10 - test_grad_xy10; + values[5] += x1 * test_value_y10 + test_grad_xy10; + values[6] += x0 * test_value_y11 - test_grad_xy11; + values[7] += x1 * test_value_y11 + test_grad_xy11; + } + else + { + values[0] = x0 * test_value_y00 - test_grad_xy00; + values[1] = x1 * test_value_y00 + test_grad_xy00; + values[2] = x0 * test_value_y01 - test_grad_xy01; + values[3] = x1 * test_value_y01 + test_grad_xy01; + values[4] = x0 * test_value_y10 - test_grad_xy10; + values[5] = x1 * test_value_y10 + test_grad_xy10; + values[6] = x0 * test_value_y11 - test_grad_xy11; + values[7] = x1 * test_value_y11 + test_grad_xy11; + } + } + } + + + + /** + * Calls the correct @p integrate_add_tensor_product_value_and_gradient_...() + * function depending on if values should be added to or set and if + * polynomials are linear. + */ + template + inline void + integrate_tensor_product_value_and_gradient( + const dealii::ndarray *shapes, + const unsigned int n_shapes, + const Number2 * value, + const Tensor<1, dim, Number2> & gradient, + Number2 * values, + const Point & p, + const bool is_linear, + const bool do_add) + { + if (do_add) + { + if (is_linear) + internal::integrate_add_tensor_product_value_and_gradient_linear< + dim, + Number, + Number2, + true, + n_values>(n_shapes, value, gradient, values, p); + else + internal::integrate_add_tensor_product_value_and_gradient_shapes< + dim, + Number, + Number2, + true, + n_values>(shapes, n_shapes, value, gradient, values); + } + else + { + if (is_linear) + internal::integrate_add_tensor_product_value_and_gradient_linear< + dim, + Number, + Number2, + false, + n_values>(n_shapes, value, gradient, values, p); + else + internal::integrate_add_tensor_product_value_and_gradient_shapes< + dim, + Number, + Number2, + false, + n_values>(shapes, n_shapes, value, gradient, values); } } diff --git a/include/deal.II/non_matching/mapping_info.h b/include/deal.II/non_matching/mapping_info.h index a66aa710c4..0f745240f3 100644 --- a/include/deal.II/non_matching/mapping_info.h +++ b/include/deal.II/non_matching/mapping_info.h @@ -295,6 +295,13 @@ namespace NonMatching const std::vector>> &quadrature_vector, const unsigned int n_unfiltered_cells = numbers::invalid_unsigned_int); + /** + * Return if this MappingInfo object is reinitialized for faces (by + * reinit_faces()) or not. + */ + bool + is_face_state() const; + /** * Getter function for unit points. The offset can be obtained with * compute_unit_point_index_offset(). @@ -302,6 +309,13 @@ namespace NonMatching const Point * get_unit_point(const unsigned int offset) const; + /** + * Getter function for unit points on faces. The offset can be obtained with + * compute_unit_point_index_offset(). + */ + const Point * + get_unit_point_faces(const unsigned int offset) const; + /** * Getter function for Jacobians. The offset can be obtained with * compute_data_index_offset(). @@ -400,6 +414,12 @@ namespace NonMatching void resize_unit_points(const unsigned int n_unit_point_batches); + /** + * Resize the unit_point_faces data field. + */ + void + resize_unit_points_faces(const unsigned int n_unit_point_batches); + /** * Resize the mapping data fields. */ @@ -415,6 +435,15 @@ namespace NonMatching const unsigned int n_q_points_unvectorized, const std::vector> &points); + /** + * Store the unit points on faces. + */ + void + store_unit_points_faces(const unsigned int unit_points_index_offset, + const unsigned int n_q_points, + const unsigned int n_q_points_unvectorized, + const std::vector> &points); + /** * Store the requested mapping data. */ @@ -461,6 +490,13 @@ namespace NonMatching */ AlignedVector> unit_points; + /** + * The reference points on faces specified at reinit(). + * + * Indexed by @p unit_points_index. + */ + AlignedVector> unit_points_faces; + /** * Offset to point to the first unit point of a cell/face. */ @@ -960,6 +996,7 @@ namespace NonMatching // fill unit points and mapping data for every face of all cells // resize data vectors + resize_unit_points_faces(n_unit_points); resize_unit_points(n_unit_points); resize_data_fields(n_data_points); @@ -983,8 +1020,6 @@ namespace NonMatching quadrature_on_face, f); - const auto &unit_points_on_cell = quadrature_on_cell.get_points(); - const unsigned int current_face_index = cell_index_offset[cell_index] + f; @@ -997,6 +1032,11 @@ namespace NonMatching n_q_points_unvectorized[current_face_index], quadrature_on_cell.get_points()); + store_unit_points_faces(unit_points_index[current_face_index], + n_q_points, + n_q_points_unvectorized[current_face_index], + quadrature_on_face.get_points()); + internal::ComputeMappingDataHelper:: compute_mapping_data_for_face_quadrature(mapping, update_flags_mapping, @@ -1026,6 +1066,15 @@ namespace NonMatching + template + bool + MappingInfo::is_face_state() const + { + return state == State::faces_on_cells_in_vector; + } + + + template unsigned int MappingInfo::get_n_q_points_unvectorized( @@ -1139,6 +1188,31 @@ namespace NonMatching + template + void + MappingInfo::store_unit_points_faces( + const unsigned int unit_points_index_offset, + const unsigned int n_q_points, + const unsigned int n_q_points_unvectorized, + const std::vector> &points) + { + const unsigned int n_lanes = + dealii::internal::VectorizedArrayTrait::width(); + + for (unsigned int q = 0; q < n_q_points; ++q) + { + const unsigned int offset = unit_points_index_offset + q; + for (unsigned int v = 0; + v < n_lanes && q * n_lanes + v < n_q_points_unvectorized; + ++v) + for (unsigned int d = 0; d < dim - 1; ++d) + dealii::internal::VectorizedArrayTrait::get( + unit_points_faces[offset][d], v) = points[q * n_lanes + v][d]; + } + } + + + template void MappingInfo::store_mapping_data( @@ -1199,6 +1273,16 @@ namespace NonMatching + template + void + MappingInfo::resize_unit_points_faces( + const unsigned int n_unit_point_batches) + { + unit_points_faces.resize(n_unit_point_batches); + } + + + template void MappingInfo::resize_data_fields( @@ -1230,6 +1314,18 @@ namespace NonMatching + template + inline const Point< + dim - 1, + typename MappingInfo::VectorizedArrayType> * + MappingInfo::get_unit_point_faces( + const unsigned int offset) const + { + return &unit_points_faces[offset]; + } + + + template inline const Point * MappingInfo::get_real_point( diff --git a/tests/matrix_free/point_evaluation_23.cc b/tests/matrix_free/point_evaluation_23.cc new file mode 100644 index 0000000000..8ee2b5bddf --- /dev/null +++ b/tests/matrix_free/point_evaluation_23.cc @@ -0,0 +1,166 @@ +// --------------------------------------------------------------------- +// +// Copyright (C) 2021 - 2022 by the deal.II authors +// +// This file is part of the deal.II library. +// +// The deal.II library is free software; you can use it, 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 2.1 of the License, or (at your option) any later version. +// The full text of the license can be found in the file LICENSE.md at +// the top level directory of deal.II. +// +// --------------------------------------------------------------------- + + +// Check face path of FEPointEvaluation with precomputed mapping +// information for a scalar valued FE and MappingQ. + + +#include + +#include + +#include +#include +#include + +#include +#include + +#include + +#include + +#include + +#include + +#include "../tests.h" + + + +template +class MyFunction : public Function +{ +public: + MyFunction() + : Function() + {} + + double + value(const Point &p, const unsigned int component) const override + { + return component + p[component]; + } +}; + + + +template +void +test(const unsigned int degree) +{ + using namespace dealii; + Triangulation tria; + + if (dim > 1) + GridGenerator::hyper_shell(tria, Point(), 0.5, 1, 6); + else + GridGenerator::subdivided_hyper_cube(tria, 2, 0, 1); + + MappingQ mapping(degree); + deallog << "Mapping of degree " << degree << std::endl; + + std::vector> unit_points; + for (unsigned int i = 0; i < (dim > 1 ? 13 : 1); ++i) + { + Point p; + for (unsigned int d = 0; d < dim - 1; ++d) + p[d] = static_cast(i) / 17. + 0.015625 * d; + unit_points.push_back(p); + } + + FE_Q fe(degree); + DoFHandler dof_handler(tria); + dof_handler.distribute_dofs(fe); + Vector vector(dof_handler.n_dofs()); + + NonMatching::MappingInfo mapping_info(mapping, + update_values | + update_gradients); + + std::vector>> quad_vec_faces( + tria.n_active_cells()); + + for (const auto &cell : tria.active_cell_iterators()) + { + for (const auto f : cell->face_indices()) + { + quad_vec_faces[cell->active_cell_index()].push_back( + Quadrature(unit_points)); + } + } + + mapping_info.reinit_faces(tria.active_cell_iterators(), quad_vec_faces); + + FEPointEvaluation<1, dim> evaluator(mapping_info, fe); + + VectorTools::interpolate(mapping, dof_handler, MyFunction(), vector); + + std::vector solution_values_in(fe.dofs_per_cell); + std::vector solution_values_out(fe.dofs_per_cell); + + for (const auto &cell : dof_handler.active_cell_iterators()) + { + cell->get_dof_values(vector, + solution_values_in.begin(), + solution_values_in.end()); + + deallog << "Cell with center " << cell->center(true) << std::endl; + for (const auto f : cell->face_indices()) + { + evaluator.reinit(cell->active_cell_index(), f); + + evaluator.evaluate(solution_values_in, + EvaluationFlags::values | + EvaluationFlags::gradients); + deallog << "face number " << f << std::endl; + for (unsigned int i = 0; i < unit_points.size(); ++i) + deallog << "value " << evaluator.get_value(i) << " gradient " + << evaluator.get_gradient(i) << std::endl; + deallog << std::endl; + + for (unsigned int i = 0; i < unit_points.size(); ++i) + { + evaluator.submit_value(evaluator.get_value(i), i); + evaluator.submit_gradient(evaluator.get_gradient(i), i); + } + + evaluator.integrate(solution_values_out, + EvaluationFlags::values | + EvaluationFlags::gradients); + + for (double i : solution_values_out) + deallog << i << ' '; + deallog << std::endl; + } + } +} + + + +int +main() +{ + initlog(); + deallog << std::setprecision(10); + + test<1>(1); + test<1>(2); + test<2>(1); + test<2>(2); + test<2>(6); + test<3>(5); +} diff --git a/tests/matrix_free/point_evaluation_23.output b/tests/matrix_free/point_evaluation_23.output new file mode 100644 index 0000000000..2e83f146ad --- /dev/null +++ b/tests/matrix_free/point_evaluation_23.output @@ -0,0 +1,1795 @@ + +DEAL::Mapping of degree 1 +DEAL::Cell with center 0.2500000000 +DEAL::face number 0 +DEAL::value 0.000000000 gradient 1.000000000 +DEAL:: +DEAL::-2.000000000 2.000000000 +DEAL::face number 1 +DEAL::value 0.5000000000 gradient 1.000000000 +DEAL:: +DEAL::-2.000000000 2.500000000 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General +// Public License as published by the Free Software Foundation; either +// version 2.1 of the License, or (at your option) any later version. +// The full text of the license can be found in the file LICENSE.md at +// the top level directory of deal.II. +// +// --------------------------------------------------------------------- + + +// Check face path of FEPointEvaluation with precomputed mapping +// information for a vector valued FE and MappingQ. + + +#include + +#include + +#include +#include +#include + +#include +#include + +#include + +#include + +#include + +#include + +#include "../tests.h" + + + +template +class MyFunction : public Function +{ +public: + MyFunction() + : Function(dim) + {} + + double + value(const Point &p, const unsigned int component) const override + { + return component + p[component]; + } +}; + + + +template +void +test(const unsigned int degree) +{ + using namespace dealii; + Triangulation tria; + + if (dim > 1) + GridGenerator::hyper_shell(tria, Point(), 0.5, 1, 6); + else + GridGenerator::subdivided_hyper_cube(tria, 2, 0, 1); + + MappingQ mapping(degree); + deallog << "Mapping of degree " << degree << std::endl; + + std::vector> unit_points; + for (unsigned int i = 0; i < (dim > 1 ? 13 : 1); ++i) + { + Point p; + for (unsigned int d = 0; d < dim - 1; ++d) + p[d] = static_cast(i) / 17. + 0.015625 * d; + unit_points.push_back(p); + } + + FESystem fe(FE_Q(2), dim); + DoFHandler dof_handler(tria); + dof_handler.distribute_dofs(fe); + Vector vector(dof_handler.n_dofs()); + + NonMatching::MappingInfo mapping_info(mapping, + update_values | + update_gradients); + + std::vector>> quad_vec_faces( + tria.n_active_cells()); + + for (const auto &cell : tria.active_cell_iterators()) + { + for (const auto f : cell->face_indices()) + { + quad_vec_faces[cell->active_cell_index()].push_back( + Quadrature(unit_points)); + } + } + + mapping_info.reinit_faces(tria.active_cell_iterators(), quad_vec_faces); + + FEPointEvaluation evaluator(mapping_info, fe); + + VectorTools::interpolate(mapping, dof_handler, MyFunction(), vector); + + std::vector solution_values_in(fe.dofs_per_cell); + std::vector solution_values_out(fe.dofs_per_cell); + + for (const auto &cell : dof_handler.active_cell_iterators()) + { + cell->get_dof_values(vector, + solution_values_in.begin(), + solution_values_in.end()); + + deallog << "Cell with center " << cell->center(true) << std::endl; + for (const auto f : cell->face_indices()) + { + evaluator.reinit(cell->active_cell_index(), f); + + evaluator.evaluate(solution_values_in, + EvaluationFlags::values | + EvaluationFlags::gradients); + deallog << "face number " << f << std::endl; + for (unsigned int i = 0; i < unit_points.size(); ++i) + deallog << "value " << evaluator.get_value(i) << " gradient " + << evaluator.get_gradient(i) << std::endl; + deallog << std::endl; + + for (unsigned int i = 0; i < unit_points.size(); ++i) + { + evaluator.submit_value(evaluator.get_value(i), i); + evaluator.submit_gradient(evaluator.get_gradient(i), i); + } + + evaluator.integrate(solution_values_out, + EvaluationFlags::values | + EvaluationFlags::gradients); + + for (double i : solution_values_out) + deallog << i << ' '; + deallog << std::endl; + } + } +} + + + +int +main() +{ + initlog(); + deallog << std::setprecision(10); + + test<1>(1); + test<1>(2); + test<2>(1); + test<2>(2); + test<2>(6); + test<3>(5); +} diff --git a/tests/matrix_free/point_evaluation_24.output b/tests/matrix_free/point_evaluation_24.output new file mode 100644 index 0000000000..7025add40f --- /dev/null +++ b/tests/matrix_free/point_evaluation_24.output @@ -0,0 +1,1795 @@ + +DEAL::Mapping of degree 1 +DEAL::Cell with center 0.2500000000 +DEAL::face number 0 +DEAL::value 0.000000000 gradient 1.000000000 +DEAL:: +DEAL::-6.000000000 -2.000000000 8.000000000 +DEAL::face number 1 +DEAL::value 0.5000000000 gradient 1.000000000 +DEAL:: +DEAL::2.000000000 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