15#ifndef dealii_fe_point_evaluation_h
16#define dealii_fe_point_evaluation_h
47 <<
"You are requesting information from an FEPointEvaluationBase "
48 <<
"object for which this kind of information has not been computed. "
49 <<
"What information these objects compute is determined by the update_* "
50 <<
"flags you pass to MappingInfo() in the Constructor. Here, "
51 <<
"the operation you are attempting requires the <" << arg1
52 <<
"> flag to be set, but it was apparently not specified "
53 <<
"upon initialization.");
63 typename Enable =
void>
69 typename ::internal::VectorizedArrayTrait<
78 n_components == spacedim,
90 const unsigned int component,
94 result[component] = vector_entry;
108 for (
unsigned int c = 0; c < n_components; ++c)
109 result_scalar[c] = result[c].sum();
111 return result_scalar;
119 return result[component].
sum();
124 const unsigned int vector_lane,
127 for (
unsigned int i = 0; i < n_components; ++i)
128 for (
unsigned int d = 0; d < dim; ++d)
131 value[d][i], vector_lane);
136 const unsigned int vector_lane,
139 for (
unsigned int i = 0; i < n_components; ++i)
140 for (
unsigned int d = 0; d < dim; ++d)
142 value[d][i], vector_lane) = result[i][d];
147 const unsigned int vector_lane,
150 for (
unsigned int i = 0; i < n_components; ++i)
151 for (
unsigned int d = 0; d < dim; ++d)
153 value[d][i], vector_lane) = result[i][d];
158 const unsigned int vector_lane)
160 for (
unsigned int i = 0; i < n_components; ++i)
161 for (
unsigned int d = 0; d < spacedim; ++d)
168 const unsigned int vector_lane,
171 for (
unsigned int i = 0; i < n_components; ++i)
172 result[i] =
value[i][vector_lane];
185 const unsigned int vector_lane,
188 for (
unsigned int i = 0; i < n_components; ++i)
189 value[i][vector_lane] = result[i];
203 for (
unsigned int i = 0; i < n_components; ++i)
210 const unsigned int vector_lane,
211 const unsigned int component,
215 vector_lane) += shape_value;
220 const unsigned int vector_lane,
221 const unsigned int component)
229 const unsigned int vector_lane,
230 const unsigned int component,
233 for (
unsigned int d = 0; d < spacedim; ++d)
241 const unsigned int vector_lane,
242 const unsigned int component)
245 for (
unsigned int d = 0; d < spacedim; ++d)
253 template <
int dim,
int spacedim,
typename Number>
259 typename ::internal::VectorizedArrayTrait<
276 result = vector_entry;
299 const unsigned int vector_lane,
302 for (
unsigned int d = 0; d < dim; ++d)
303 result[d] =
value[d][vector_lane];
316 const unsigned int vector_lane,
319 for (
unsigned int d = 0; d < dim; ++d)
320 value[d][vector_lane] = result[d];
333 const unsigned int vector_lane)
335 for (
unsigned int d = 0; d < spacedim; ++d)
342 const unsigned int vector_lane,
345 result =
value[vector_lane];
358 const unsigned int vector_lane,
361 value[vector_lane] = result;
380 const unsigned int vector_lane,
390 const unsigned int vector_lane,
398 const unsigned int vector_lane,
402 for (
unsigned int d = 0; d < spacedim; ++d)
409 const unsigned int vector_lane,
413 for (
unsigned int d = 0; d < spacedim; ++d)
420 template <
int dim,
typename Number>
425 std::enable_if_t<dim != 1>>
430 typename ::internal::VectorizedArrayTrait<
444 const unsigned int component,
448 result[component] = vector_entry;
462 for (
unsigned int c = 0; c < dim; ++c)
463 result_scalar[c] = result[c].sum();
465 return result_scalar;
473 return result[component].
sum();
478 const unsigned int vector_lane,
481 for (
unsigned int i = 0; i < dim; ++i)
482 for (
unsigned int d = 0; d < dim; ++d)
485 value[d][i], vector_lane);
490 const unsigned int vector_lane,
493 for (
unsigned int i = 0; i < dim; ++i)
494 for (
unsigned int d = 0; d < dim; ++d)
496 value[d][i], vector_lane) = result[i][d];
501 const unsigned int vector_lane)
503 for (
unsigned int i = 0; i < dim; ++i)
504 for (
unsigned int d = 0; d < dim; ++d)
511 const unsigned int vector_lane,
514 for (
unsigned int i = 0; i < dim; ++i)
515 result[i] =
value[i][vector_lane];
528 const unsigned int vector_lane,
531 for (
unsigned int i = 0; i < dim; ++i)
532 value[i][vector_lane] = result[i];
546 for (
unsigned int i = 0; i < dim; ++i)
553 const unsigned int vector_lane,
554 const unsigned int component,
558 vector_lane) += shape_value;
563 const unsigned int vector_lane,
564 const unsigned int component)
572 const unsigned int vector_lane,
573 const unsigned int component,
576 for (
unsigned int d = 0; d < dim; ++d)
584 const unsigned int vector_lane,
585 const unsigned int component)
588 for (
unsigned int d = 0; d < dim; ++d)
596 template <
int dim,
int spacedim>
599 const unsigned int base_element_number);
601 template <
int dim,
int spacedim>
605 template <
int dim,
int spacedim>
606 std::vector<Polynomials::Polynomial<double>>
619template <
int n_components_,
622 typename Number =
double>
635 using ETT =
typename internal::FEPointEvaluation::
636 EvaluatorTypeTraits<dim, spacedim, n_components, Number>;
642 typename ETT::interface_vectorized_unit_gradient_type;
666 const unsigned int first_selected_component = 0);
690 const unsigned int first_selected_component = 0,
799 JxW(
const unsigned int point_index)
const;
865 setup(
const unsigned int first_selected_component);
872 template <
bool is_face,
bool is_linear>
905 std::vector<Polynomials::Polynomial<double>>
poly;
1041 std::unique_ptr<NonMatching::MappingInfo<dim, spacedim, Number>>
1120template <
int n_components_,
1123 typename Number =
double>
1137 using ETT =
typename internal::FEPointEvaluation::
1138 EvaluatorTypeTraits<dim, spacedim, n_components, Number>;
1145 typename ETT::interface_vectorized_unit_gradient_type;
1168 const unsigned int first_selected_component = 0);
1189 const unsigned int first_selected_component = 0);
1232 template <std::
size_t str
ide_view>
1275 template <std::
size_t str
ide_view>
1279 const bool sum_into_values =
false);
1306 const bool sum_into_values =
false);
1334 template <std::
size_t str
ide_view>
1339 const bool sum_into_values =
false);
1370 const bool sum_into_values =
false);
1408 template <
bool is_linear, std::
size_t str
ide_view>
1417 template <
bool is_linear, std::
size_t str
ide_view>
1422 const unsigned int n_shapes,
1423 const unsigned int qb,
1430 template <
bool is_linear, std::
size_t str
ide_view>
1439 template <std::
size_t str
ide_view>
1450 template <
bool is_linear>
1454 const unsigned int n_shapes,
1455 const unsigned int qb,
1465 template <
bool is_linear, std::
size_t str
ide_view>
1470 const bool sum_into_values);
1475 template <
bool do_JxW,
bool is_linear, std::
size_t str
ide_view>
1480 const bool sum_into_values);
1485 template <
bool do_JxW, std::
size_t str
ide_view>
1490 const bool sum_into_values);
1495 template <
bool do_JxW, std::
size_t str
ide_view>
1500 const bool sum_into_values);
1530template <
int n_components_,
1533 typename Number =
double>
1547 using ETT =
typename internal::FEPointEvaluation::
1548 EvaluatorTypeTraits<dim, spacedim, n_components, Number>;
1555 typename ETT::interface_vectorized_unit_gradient_type;
1564 const unsigned int first_selected_component = 0);
1578 reinit(
const unsigned int face_index);
1591 template <std::
size_t str
ide_view>
1634 template <std::
size_t str
ide_view>
1638 const bool sum_into_values =
false);
1665 const bool sum_into_values =
false);
1689 template <std::
size_t str
ide_view>
1694 const bool sum_into_values =
false);
1721 const bool sum_into_values =
false);
1729 template <
int str
ide_face_dof = VectorizedArrayType::size()>
1740 template <
int str
ide_face_dof = VectorizedArrayType::size()>
1744 const bool sum_into_values =
false);
1778 template <
bool is_linear, std::
size_t str
ide_view>
1784 template <
bool do_JxW,
bool is_linear, std::
size_t str
ide_view>
1789 const bool sum_into_values);
1795 template <
bool is_linear,
int str
ide_face_dof>
1804 template <
bool do_JxW,
bool is_linear,
int str
ide_face_dof>
1809 const bool sum_into_values);
1817template <
int n_components_,
int dim,
int spacedim,
typename Number>
1822 const unsigned int first_selected_component)
1823 : n_q_batches(
numbers::invalid_unsigned_int)
1824 , n_q_points(
numbers::invalid_unsigned_int)
1825 , n_q_points_scalar(
numbers::invalid_unsigned_int)
1829 , update_flags(update_flags)
1830 , mapping_info_on_the_fly(
1831 std::make_unique<
NonMatching::MappingInfo<dim, spacedim, Number>>(
1834 , mapping_info(mapping_info_on_the_fly.get())
1835 , current_cell_index(
numbers::invalid_unsigned_int)
1836 , current_face_number(
numbers::invalid_unsigned_int)
1837 , must_reinitialize_pointers(false)
1840 setup(first_selected_component);
1845template <
int n_components_,
int dim,
int spacedim,
typename Number>
1850 const unsigned int first_selected_component,
1851 const bool is_interior)
1852 : n_q_batches(
numbers::invalid_unsigned_int)
1853 , n_q_points(
numbers::invalid_unsigned_int)
1854 , n_q_points_scalar(
numbers::invalid_unsigned_int)
1855 , mapping(&mapping_info.get_mapping())
1858 , update_flags(mapping_info.get_update_flags())
1859 , mapping_info(&mapping_info)
1860 , current_cell_index(
numbers::invalid_unsigned_int)
1861 , current_face_number(
numbers::invalid_unsigned_int)
1862 , must_reinitialize_pointers(true)
1863 , is_interior(is_interior)
1865 setup(first_selected_component);
1870template <
int n_components_,
int dim,
int spacedim,
typename Number>
1874 : n_q_batches(other.n_q_batches)
1875 , n_q_points(other.n_q_points)
1876 , n_q_points_scalar(other.n_q_points_scalar)
1877 , mapping(other.mapping)
1880 , use_linear_path(other.use_linear_path)
1881 , renumber(other.renumber)
1882 , solution_renumbered(other.solution_renumbered)
1883 , solution_renumbered_vectorized(other.solution_renumbered_vectorized)
1884 , values(other.values)
1885 , gradients(other.gradients)
1886 , dofs_per_component(other.dofs_per_component)
1887 , dofs_per_component_face(other.dofs_per_component_face)
1888 , component_in_base_element(other.component_in_base_element)
1889 , nonzero_shape_function_component(other.nonzero_shape_function_component)
1890 , update_flags(other.update_flags)
1891 , fe_values(other.fe_values)
1892 , mapping_info_on_the_fly(
1893 other.mapping_info_on_the_fly ?
1898 , mapping_info(other.mapping_info)
1899 , current_cell_index(other.current_cell_index)
1900 , current_face_number(other.current_face_number)
1901 , fast_path(other.fast_path)
1902 , must_reinitialize_pointers(true)
1903 , is_interior(other.is_interior)
1908template <
int n_components_,
int dim,
int spacedim,
typename Number>
1911 : n_q_batches(other.n_q_batches)
1912 , n_q_points(other.n_q_points)
1913 , n_q_points_scalar(other.n_q_points_scalar)
1914 , mapping(other.mapping)
1917 , use_linear_path(other.use_linear_path)
1918 , renumber(other.renumber)
1919 , solution_renumbered(other.solution_renumbered)
1920 , solution_renumbered_vectorized(other.solution_renumbered_vectorized)
1921 , values(other.values)
1922 , gradients(other.gradients)
1923 , dofs_per_component(other.dofs_per_component)
1924 , dofs_per_component_face(other.dofs_per_component_face)
1925 , component_in_base_element(other.component_in_base_element)
1926 , nonzero_shape_function_component(other.nonzero_shape_function_component)
1927 , update_flags(other.update_flags)
1928 , fe_values(other.fe_values)
1929 , mapping_info_on_the_fly(std::move(other.mapping_info_on_the_fly))
1930 , mapping_info(other.mapping_info)
1931 , current_cell_index(other.current_cell_index)
1932 , current_face_number(other.current_face_number)
1933 , fast_path(other.fast_path)
1934 , must_reinitialize_pointers(other.must_reinitialize_pointers)
1935 , is_interior(other.is_interior)
1940template <
int n_components_,
int dim,
int spacedim,
typename Number>
1943 const unsigned int first_selected_component)
1946 fe->n_components() + 1);
1948 shapes.reserve(100);
1950 bool same_base_element =
true;
1951 unsigned int base_element_number = 0;
1952 component_in_base_element = 0;
1953 unsigned int component = 0;
1954 for (; base_element_number < fe->n_base_elements(); ++base_element_number)
1955 if (component + fe->element_multiplicity(base_element_number) >
1956 first_selected_component)
1958 if (first_selected_component + n_components >
1959 component + fe->element_multiplicity(base_element_number))
1960 same_base_element =
false;
1961 component_in_base_element = first_selected_component - component;
1965 component += fe->element_multiplicity(base_element_number);
1969 *fe, base_element_number) &&
1972 shape_info.reinit(
QMidpoint<1>(), *fe, base_element_number);
1973 renumber = shape_info.lexicographic_numbering;
1974 dofs_per_component = shape_info.dofs_per_component_on_cell;
1975 dofs_per_component_face = shape_info.dofs_per_component_on_face;
1977 fe->base_element(base_element_number));
1979 bool is_lexicographic =
true;
1980 for (
unsigned int i = 0; i < renumber.size(); ++i)
1981 if (i != renumber[i])
1982 is_lexicographic =
false;
1984 if (is_lexicographic)
1987 use_linear_path = (poly.size() == 2 && poly[0].value(0.) == 1. &&
1988 poly[0].value(1.) == 0. && poly[1].value(0.) == 0. &&
1989 poly[1].value(1.) == 1.) &&
1990 (fe->n_components() == n_components);
1992 const unsigned int size_face = 3 * dofs_per_component_face * n_components;
1993 const unsigned int size_cell = dofs_per_component * n_components;
1994 scratch_data_scalar.resize(size_face + size_cell);
1996 solution_renumbered.resize(dofs_per_component);
1997 solution_renumbered_vectorized.resize(dofs_per_component);
2003 nonzero_shape_function_component.resize(fe->n_dofs_per_cell());
2004 for (
unsigned int d = 0; d < n_components; ++d)
2006 const unsigned int component = first_selected_component + d;
2007 for (
unsigned int i = 0; i < fe->n_dofs_per_cell(); ++i)
2009 const bool is_primitive =
2010 fe->is_primitive() || fe->is_primitive(i);
2012 nonzero_shape_function_component[i][d] =
2013 (component == fe->system_to_component_index(i).first);
2015 nonzero_shape_function_component[i][d] =
2016 (fe->get_nonzero_components(i)[component] ==
true);
2026template <
int n_components_,
int dim,
int spacedim,
typename Number>
2027template <
bool is_face,
bool is_linear>
2031 const unsigned int geometry_index =
2032 mapping_info->template compute_geometry_index_offset<is_face>(
2033 current_cell_index, current_face_number);
2035 cell_type = mapping_info->get_cell_type(geometry_index);
2037 const_cast<unsigned int &
>(n_q_points_scalar) =
2038 mapping_info->get_n_q_points_unvectorized(geometry_index);
2041 const_cast<unsigned int &
>(n_q_batches) =
2042 (n_q_points_scalar + n_lanes_internal - 1) / n_lanes_internal;
2044 const unsigned int n_q_points_before = n_q_points;
2046 const_cast<unsigned int &
>(n_q_points) =
2047 (stride == 1) ? n_q_batches : n_q_points_scalar;
2049 if (n_q_points != n_q_points_before)
2052 values.resize(n_q_points);
2054 gradients.resize(n_q_points);
2057 if (n_q_points == 0)
2061 const unsigned int unit_point_offset =
2062 mapping_info->compute_unit_point_index_offset(geometry_index);
2065 unit_point_faces_ptr =
2066 mapping_info->get_unit_point_faces(unit_point_offset);
2068 unit_point_ptr = mapping_info->get_unit_point(unit_point_offset);
2071 const unsigned int data_offset =
2072 mapping_info->compute_data_index_offset(geometry_index);
2073 const unsigned int compressed_data_offset =
2074 mapping_info->compute_compressed_data_index_offset(geometry_index);
2077 mapping_info->get_update_flags_mapping();
2079 real_point_ptr = mapping_info->get_real_point(data_offset);
2082 mapping_info->get_jacobian(compressed_data_offset, is_interior);
2084 inverse_jacobian_ptr =
2085 mapping_info->get_inverse_jacobian(compressed_data_offset, is_interior);
2087 normal_ptr = mapping_info->get_normal_vector(data_offset);
2089 JxW_ptr = mapping_info->get_JxW(data_offset);
2091 real_point_ptr = mapping_info->get_real_point(data_offset);
2093 mapping_info->get_jacobian(compressed_data_offset, is_interior);
2094 inverse_jacobian_ptr =
2095 mapping_info->get_inverse_jacobian(compressed_data_offset, is_interior);
2096 normal_ptr = mapping_info->get_normal_vector(data_offset);
2097 JxW_ptr = mapping_info->get_JxW(data_offset);
2100 if (!is_linear && fast_path)
2102 const std::size_t n_shapes = poly.size();
2104 shapes_faces.resize_fast(n_q_batches * n_shapes);
2106 shapes.resize_fast(n_q_batches * n_shapes);
2108 for (
unsigned int qb = 0; qb < n_q_batches; ++qb)
2114 shapes_faces.data() + qb * n_shapes,
2116 unit_point_faces_ptr[qb],
2129 else if (qb + 1 < n_q_batches)
2134 shapes.data() + qb * n_shapes,
2137 unit_point_ptr[qb + 1]);
2153template <
int n_components_,
int dim,
int spacedim,
typename Number>
2157 Number>::value_type &
2159 const unsigned int point_index)
const
2162 return values[point_index];
2167template <
int n_components_,
int dim,
int spacedim,
typename Number>
2171 Number>::gradient_type &
2173 const unsigned int point_index)
const
2176 return gradients[point_index];
2181template <
int n_components_,
int dim,
int spacedim,
typename Number>
2184 const unsigned int point_index)
const
2186 static_assert(n_components == dim,
2187 "Only makes sense for a vector field with dim components");
2190 return trace(gradients[point_index]);
2195template <
int n_components_,
int dim,
int spacedim,
typename Number>
2199 const unsigned int point_index)
2202 values[point_index] = value;
2207template <
int n_components_,
int dim,
int spacedim,
typename Number>
2211 const unsigned int point_index)
2214 gradients[point_index] = gradient;
2219template <
int n_components_,
int dim,
int spacedim,
typename Number>
2222 const Number &value,
2223 const unsigned int point_index)
2225 static_assert(n_components == dim,
2226 "Only makes sense for a vector field with dim components");
2230 for (
unsigned int d = 0; d < dim; ++d)
2231 gradients[point_index][d][d] = value;
2236template <
int n_components_,
int dim,
int spacedim,
typename Number>
2239 const unsigned int point_index)
const
2242 Assert(jacobian_ptr !=
nullptr,
2244 ExcFEPointEvaluationAccessToUninitializedMappingField(
2245 "update_jacobians"));
2246 return jacobian_ptr[cell_type <= ::internal::MatrixFreeFunctions::
2247 GeometryType::affine ?
2254template <
int n_components_,
int dim,
int spacedim,
typename Number>
2257 const unsigned int point_index)
const
2260 Assert(inverse_jacobian_ptr !=
nullptr,
2262 ExcFEPointEvaluationAccessToUninitializedMappingField(
2263 "update_inverse_jacobians"));
2264 return inverse_jacobian_ptr
2273template <
int n_components_,
int dim,
int spacedim,
typename Number>
2276 const unsigned int point_index)
const
2279 Assert(JxW_ptr !=
nullptr,
2281 ExcFEPointEvaluationAccessToUninitializedMappingField(
2282 "update_JxW_values"));
2283 return JxW_ptr[point_index];
2288template <
int n_components_,
int dim,
int spacedim,
typename Number>
2291 const unsigned int point_index)
const
2293 return quadrature_point(point_index);
2299template <
int n_components_,
int dim,
int spacedim,
typename Number>
2302 const unsigned int point_index)
const
2305 Assert(real_point_ptr !=
nullptr,
2307 ExcFEPointEvaluationAccessToUninitializedMappingField(
2308 "update_quadrature_points"));
2309 return real_point_ptr[point_index];
2314template <
int n_components_,
int dim,
int spacedim,
typename Number>
2317 const unsigned int point_index)
const
2320 Assert(unit_point_ptr !=
nullptr,
ExcMessage(
"unit_point_ptr is not set!"));
2322 for (
unsigned int d = 0; d < dim; ++d)
2324 unit_point_ptr[point_index / stride][d], point_index % stride);
2330template <
int n_components_,
int dim,
int spacedim,
typename Number>
2335 return {0U, n_q_points};
2340template <
int n_components_,
int dim,
int spacedim,
typename Number>
2344 const unsigned int first_selected_component)
2348 first_selected_component)
2353template <
int n_components_,
int dim,
int spacedim,
typename Number>
2358 const unsigned int first_selected_component)
2363 first_selected_component)
2368template <
int n_components_,
int dim,
int spacedim,
typename Number>
2376 if (this->use_linear_path)
2377 this->
template do_reinit<false, true>();
2379 this->
template do_reinit<false, false>();
2384template <
int n_components_,
int dim,
int spacedim,
typename Number>
2388 internal_reinit_single_cell_state_mapping_info();
2389 this->must_reinitialize_pointers =
false;
2394template <
int n_components_,
int dim,
int spacedim,
typename Number>
2401 AssertThrow(this->mapping_info_on_the_fly.get() !=
nullptr,
2404 this->mapping_info->reinit(cell, unit_points);
2405 this->must_reinitialize_pointers =
false;
2407 if (!this->fast_path)
2409 this->fe_values = std::make_shared<FEValues<dim, spacedim>>(
2413 std::vector<
Point<dim>>(unit_points.begin(), unit_points.end())),
2414 this->update_flags);
2415 this->fe_values->reinit(cell);
2418 if (this->use_linear_path)
2419 this->
template do_reinit<false, true>();
2421 this->
template do_reinit<false, false>();
2426template <
int n_components_,
int dim,
int spacedim,
typename Number>
2433 this->must_reinitialize_pointers =
false;
2435 if (this->use_linear_path)
2436 this->
template do_reinit<false, true>();
2438 this->
template do_reinit<false, false>();
2440 if (!this->fast_path)
2442 std::vector<Point<dim>> unit_points(this->n_q_points_scalar);
2444 for (
unsigned int v = 0; v < this->n_q_points_scalar; ++v)
2445 for (
unsigned int d = 0; d < dim; ++d)
2447 this->unit_point_ptr[v / n_lanes_internal][d][v % n_lanes_internal];
2449 this->fe_values = std::make_shared<FEValues<dim, spacedim>>(
2453 std::vector<
Point<dim>>(unit_points.begin(), unit_points.end())),
2454 this->update_flags);
2456 this->fe_values->reinit(
2457 this->mapping_info->get_cell_iterator(this->current_cell_index));
2463template <
int n_components_,
int dim,
int spacedim,
typename Number>
2464template <std::
size_t str
ide_view>
2476 if (this->must_reinitialize_pointers)
2477 internal_reinit_single_cell_state_mapping_info();
2479 if (this->n_q_points == 0)
2483 if (this->fast_path)
2485 if (this->use_linear_path)
2486 evaluate_fast<true>(solution_values, evaluation_flags);
2488 evaluate_fast<false>(solution_values, evaluation_flags);
2491 evaluate_slow(solution_values, evaluation_flags);
2496template <
int n_components_,
int dim,
int spacedim,
typename Number>
2503 solution_values.
size()),
2509template <
int n_components_,
int dim,
int spacedim,
typename Number>
2510template <std::
size_t str
ide_view>
2515 const bool sum_into_values)
2517 do_integrate<true>(solution_values, integration_flags, sum_into_values);
2522template <
int n_components_,
int dim,
int spacedim,
typename Number>
2527 const bool sum_into_values)
2530 solution_values.
size()),
2537template <
int n_components_,
int dim,
int spacedim,
typename Number>
2545 for (
const auto point_index : this->quadrature_point_indices())
2546 return_value += values[point_index] * this->JxW(point_index);
2548 return ETT::sum_value(return_value);
2553template <
int n_components_,
int dim,
int spacedim,
typename Number>
2560 "Calling this function only makes sense in fully vectorized mode."));
2561 if (q == n_q_batches - 1)
2563 const unsigned int n_filled_lanes =
2564 n_q_points_scalar & (n_lanes_user_interface - 1);
2565 if (n_filled_lanes == 0)
2566 return n_lanes_user_interface;
2568 return n_filled_lanes;
2571 return n_lanes_user_interface;
2576template <
int n_components_,
int dim,
int spacedim,
typename Number>
2577template <std::
size_t str
ide_view>
2582 const bool sum_into_values)
2584 do_integrate<false>(solution_values, integration_flags, sum_into_values);
2589template <
int n_components_,
int dim,
int spacedim,
typename Number>
2594 const bool sum_into_values)
2597 solution_values.
size()),
2604template <
int n_components_,
int dim,
int spacedim,
typename Number>
2605template <
bool is_linear, std::
size_t str
ide_view>
2610 const unsigned int dofs_per_comp =
2613 for (
unsigned int comp = 0; comp < n_components; ++comp)
2615 const std::size_t offset =
2616 (this->component_in_base_element + comp) * dofs_per_comp;
2618 if ((is_linear && n_components == 1) || this->renumber.empty())
2620 for (
unsigned int i = 0; i < dofs_per_comp; ++i)
2621 ETT::read_value(solution_values[i + offset],
2623 this->solution_renumbered[i]);
2627 const unsigned int *renumber_ptr = this->renumber.data() + offset;
2628 for (
unsigned int i = 0; i < dofs_per_comp; ++i)
2629 ETT::read_value(solution_values[renumber_ptr[i]],
2631 this->solution_renumbered[i]);
2638template <
int n_components_,
int dim,
int spacedim,
typename Number>
2639template <
bool is_linear, std::
size_t str
ide_view>
2644 const unsigned int n_shapes,
2645 const unsigned int qb,
2651 std::array<vectorized_value_type, dim + 1> result;
2652 if constexpr (is_linear)
2654 if constexpr (n_components == 1)
2661 stride_view>(solution_values.
data(), this->unit_point_ptr[qb]);
2665 this->solution_renumbered.data(), this->unit_point_ptr[qb]);
2673 false>(this->shapes.data() + qb * n_shapes,
2675 this->solution_renumbered.data());
2676 gradient[0] = result[0];
2678 gradient[1] = result[1];
2680 gradient[2] = result[2];
2681 value = result[dim];
2685 if constexpr (is_linear)
2687 if constexpr (n_components == 1)
2692 stride_view>(solution_values.
data(), this->unit_point_ptr[qb]);
2695 this->solution_renumbered.data(), this->unit_point_ptr[qb]);
2703 this->shapes.data() + qb * n_shapes,
2705 this->solution_renumbered.data());
2711template <
int n_components_,
int dim,
int spacedim,
typename Number>
2712template <
bool is_linear, std::
size_t str
ide_view>
2718 if (!(is_linear && n_components == 1))
2719 prepare_evaluate_fast<is_linear>(solution_values);
2722 const unsigned int n_shapes = is_linear ? 2 : this->poly.size();
2724 for (
unsigned int qb = 0; qb < this->n_q_batches; ++qb)
2729 compute_evaluate_fast<is_linear>(
2730 solution_values, evaluation_flags, n_shapes, qb, value, gradient);
2734 for (
unsigned int v = 0, offset = qb * stride;
2735 v < stride && (stride == 1 || offset < this->n_q_points_scalar);
2737 ETT::set_value(value, v, this->values[offset]);
2745 for (
unsigned int v = 0, offset = qb * stride;
2746 v < stride && (stride == 1 || offset < this->n_q_points_scalar);
2750 ETT::set_gradient(gradient, v, unit_gradient);
2751 this->gradients[offset] =
2755 this->inverse_jacobian_ptr[0].
transpose(), unit_gradient) :
2758 ->inverse_jacobian_ptr[this->cell_type <=
2760 GeometryType::affine ?
2772template <
int n_components_,
int dim,
int spacedim,
typename Number>
2773template <std::
size_t str
ide_view>
2780 Assert(this->fe_values.get() !=
nullptr,
2782 "Not initialized. Please call FEPointEvaluation::reinit()!"));
2784 const std::size_t n_points = this->fe_values->get_quadrature().size();
2788 this->values.resize(this->n_q_points);
2789 std::fill(this->values.begin(), this->values.end(),
value_type());
2790 for (
unsigned int i = 0; i < this->fe->n_dofs_per_cell(); ++i)
2793 for (
unsigned int d = 0; d < n_components; ++d)
2794 if (this->nonzero_shape_function_component[i][d] &&
2795 (this->fe->is_primitive(i) || this->fe->is_primitive()))
2796 for (
unsigned int qb = 0, q = 0; q < n_points;
2797 ++qb, q += n_lanes_user_interface)
2798 for (
unsigned int v = 0;
2799 v < n_lanes_user_interface && q + v < n_points;
2801 ETT::access(this->values[qb],
2804 this->fe_values->shape_value(i, q + v) * value);
2805 else if (this->nonzero_shape_function_component[i][d])
2806 for (
unsigned int qb = 0, q = 0; q < n_points;
2807 ++qb, q += n_lanes_user_interface)
2808 for (
unsigned int v = 0;
2809 v < n_lanes_user_interface && q + v < n_points;
2811 ETT::access(this->values[qb],
2814 this->fe_values->shape_value_component(i,
2823 this->gradients.resize(this->n_q_points);
2824 std::fill(this->gradients.begin(),
2825 this->gradients.end(),
2827 for (
unsigned int i = 0; i < this->fe->n_dofs_per_cell(); ++i)
2830 for (
unsigned int d = 0; d < n_components; ++d)
2831 if (this->nonzero_shape_function_component[i][d] &&
2832 (this->fe->is_primitive(i) || this->fe->is_primitive()))
2833 for (
unsigned int qb = 0, q = 0; q < n_points;
2834 ++qb, q += n_lanes_user_interface)
2835 for (
unsigned int v = 0;
2836 v < n_lanes_user_interface && q + v < n_points;
2838 ETT::access(this->gradients[qb],
2841 this->fe_values->shape_grad(i, q + v) * value);
2842 else if (this->nonzero_shape_function_component[i][d])
2843 for (
unsigned int qb = 0, q = 0; q < n_points;
2844 ++qb, q += n_lanes_user_interface)
2845 for (
unsigned int v = 0;
2846 v < n_lanes_user_interface && q + v < n_points;
2849 this->gradients[qb],
2852 this->fe_values->shape_grad_component(i, q + v, d) * value);
2859template <
int n_components_,
int dim,
int spacedim,
typename Number>
2860template <
bool is_linear>
2864 const unsigned int n_shapes,
2865 const unsigned int qb,
2880 solution_values_vectorized_linear :
2881 this->solution_renumbered_vectorized.data(),
2882 this->unit_point_ptr[qb],
2889 this->shapes.data() + qb * n_shapes,
2892 is_linear ? solution_values_vectorized_linear :
2893 this->solution_renumbered_vectorized.data(),
2894 this->unit_point_ptr[qb],
2900template <
int n_components_,
int dim,
int spacedim,
typename Number>
2901template <
bool is_linear, std::
size_t str
ide_view>
2906 const bool sum_into_values)
2908 if (!sum_into_values && this->fe->n_components() > n_components)
2909 for (
unsigned int i = 0; i < solution_values.
size(); ++i)
2910 solution_values[i] = 0;
2912 const unsigned int dofs_per_comp =
2915 for (
unsigned int comp = 0; comp < n_components; ++comp)
2917 const std::size_t offset =
2918 (this->component_in_base_element + comp) * dofs_per_comp;
2920 if (is_linear || this->renumber.empty())
2922 for (
unsigned int i = 0; i < dofs_per_comp; ++i)
2923 if (sum_into_values)
2924 solution_values[i + offset] +=
2925 ETT::sum_value(comp,
2927 *(solution_values_vectorized_linear + i) :
2928 this->solution_renumbered_vectorized[i]);
2930 solution_values[i + offset] =
2931 ETT::sum_value(comp,
2933 *(solution_values_vectorized_linear + i) :
2934 this->solution_renumbered_vectorized[i]);
2938 const unsigned int *renumber_ptr = this->renumber.
data() + offset;
2939 for (
unsigned int i = 0; i < dofs_per_comp; ++i)
2940 if (sum_into_values)
2941 solution_values[renumber_ptr[i]] +=
2942 ETT::sum_value(comp, this->solution_renumbered_vectorized[i]);
2944 solution_values[renumber_ptr[i]] =
2945 ETT::sum_value(comp, this->solution_renumbered_vectorized[i]);
2952template <
int n_components_,
int dim,
int spacedim,
typename Number>
2953template <
bool do_JxW,
bool is_linear, std::
size_t str
ide_view>
2958 const bool sum_into_values)
2961 if constexpr (stride == 1)
2962 if (
const unsigned int n_filled_lanes =
2963 this->n_q_points_scalar & (n_lanes_internal - 1);
2967 for (
unsigned int v = n_filled_lanes; v < n_lanes_internal; ++v)
2968 ETT::set_zero_value(this->values.back(), v);
2970 for (
unsigned int v = n_filled_lanes; v < n_lanes_internal; ++v)
2971 ETT::set_zero_gradient(this->gradients.back(), v);
2975 solution_values_vectorized_linear = {};
2978 const unsigned int n_shapes = is_linear ? 2 : this->poly.size();
2980 const bool cartesian_cell =
2982 const bool affine_cell =
2984 for (
unsigned int qb = 0; qb < this->n_q_batches; ++qb)
2990 for (
unsigned int v = 0, offset = qb * stride;
2991 v < stride && (stride == 1 || offset < this->n_q_points_scalar);
2993 ETT::get_value(value,
2995 do_JxW ? this->values[offset] * this->JxW_ptr[offset] :
2996 this->values[offset]);
2999 for (
unsigned int v = 0, offset = qb * stride;
3000 v < stride && (stride == 1 || offset < this->n_q_points_scalar);
3004 do_JxW ? this->gradients[offset] * this->JxW_ptr[offset] :
3005 this->gradients[offset];
3013 this->inverse_jacobian_ptr[affine_cell ? 0 : offset],
3017 compute_integrate_fast<is_linear>(
3023 solution_values_vectorized_linear.data());
3027 finish_integrate_fast<is_linear>(solution_values,
3028 solution_values_vectorized_linear.
data(),
3034template <
int n_components_,
int dim,
int spacedim,
typename Number>
3035template <
bool do_JxW, std::
size_t str
ide_view>
3040 const bool sum_into_values)
3043 Assert(this->fe_values.get() !=
nullptr,
3045 "Not initialized. Please call FEPointEvaluation::reinit()!"));
3046 if (!sum_into_values)
3047 for (
unsigned int i = 0; i < solution_values.
size(); ++i)
3048 solution_values[i] = 0;
3050 const std::size_t n_points = this->fe_values->get_quadrature().
size();
3055 for (
unsigned int i = 0; i < this->fe->n_dofs_per_cell(); ++i)
3057 for (
unsigned int d = 0; d < n_components; ++d)
3058 if (this->nonzero_shape_function_component[i][d] &&
3059 (this->fe->is_primitive(i) || this->fe->is_primitive()))
3060 for (
unsigned int qb = 0, q = 0; q < n_points;
3061 ++qb, q += n_lanes_user_interface)
3062 for (
unsigned int v = 0;
3063 v < n_lanes_user_interface && q + v < n_points;
3065 solution_values[i] +=
3066 this->fe_values->shape_value(i, q + v) *
3067 ETT::access(this->values[qb], v, d) *
3068 (do_JxW ? this->fe_values->JxW(q + v) : 1.);
3069 else if (this->nonzero_shape_function_component[i][d])
3070 for (
unsigned int qb = 0, q = 0; q < n_points;
3071 ++qb, q += n_lanes_user_interface)
3072 for (
unsigned int v = 0;
3073 v < n_lanes_user_interface && q + v < n_points;
3075 solution_values[i] +=
3076 this->fe_values->shape_value_component(i, q + v, d) *
3077 ETT::access(this->values[qb], v, d) *
3078 (do_JxW ? this->fe_values->JxW(q + v) : 1.);
3085 for (
unsigned int i = 0; i < this->fe->n_dofs_per_cell(); ++i)
3087 for (
unsigned int d = 0; d < n_components; ++d)
3088 if (this->nonzero_shape_function_component[i][d] &&
3089 (this->fe->is_primitive(i) || this->fe->is_primitive()))
3090 for (
unsigned int qb = 0, q = 0; q < n_points;
3091 ++qb, q += n_lanes_user_interface)
3092 for (
unsigned int v = 0;
3093 v < n_lanes_user_interface && q + v < n_points;
3095 solution_values[i] +=
3096 this->fe_values->shape_grad(i, q + v) *
3097 ETT::access(this->gradients[qb], v, d) *
3098 (do_JxW ? this->fe_values->JxW(q + v) : 1.);
3099 else if (this->nonzero_shape_function_component[i][d])
3100 for (
unsigned int qb = 0, q = 0; q < n_points;
3101 ++qb, q += n_lanes_user_interface)
3102 for (
unsigned int v = 0;
3103 v < n_lanes_user_interface && q + v < n_points;
3105 solution_values[i] +=
3106 this->fe_values->shape_grad_component(i, q + v, d) *
3107 ETT::access(this->gradients[qb], v, d) *
3108 (do_JxW ? this->fe_values->JxW(q + v) : 1.);
3115template <
int n_components_,
int dim,
int spacedim,
typename Number>
3116template <
bool do_JxW, std::
size_t str
ide_view>
3121 const bool sum_into_values)
3123 if (this->must_reinitialize_pointers)
3124 internal_reinit_single_cell_state_mapping_info();
3128 if (this->n_q_points == 0 ||
3130 (integration_flags &
3133 if (!sum_into_values)
3134 for (
unsigned int i = 0; i < solution_values.
size(); ++i)
3135 solution_values[i] = 0;
3140 !do_JxW || this->JxW_ptr !=
nullptr,
3142 "JxW pointer is not set! If you do not want to integrate() use test_and_sum()"));
3145 if (this->fast_path)
3147 if (this->use_linear_path)
3148 integrate_fast<do_JxW, true>(solution_values,
3152 integrate_fast<do_JxW, false>(solution_values,
3157 integrate_slow<do_JxW>(solution_values, integration_flags, sum_into_values);
3162template <
int n_components_,
int dim,
int spacedim,
typename Number>
3165 const unsigned int point_index)
const
3168 Assert(this->normal_ptr !=
nullptr,
3170 ExcFEPointEvaluationAccessToUninitializedMappingField(
3171 "update_normal_vectors"));
3172 return this->normal_ptr[point_index];
3177template <
int n_components_,
int dim,
int spacedim,
typename Number>
3183 const unsigned int point_index)
const
3186 return this->gradients[point_index] * normal_vector(point_index);
3191template <
int n_components_,
int dim,
int spacedim,
typename Number>
3195 const unsigned int point_index)
3198 if constexpr (n_components == 1)
3199 this->gradients[point_index] = value * normal_vector(point_index);
3201 this->gradients[point_index] =
3207template <
int n_components_,
int dim,
int spacedim,
typename Number>
3212 const bool is_interior,
3213 const unsigned int first_selected_component)
3217 first_selected_component,
3223template <
int n_components_,
int dim,
int spacedim,
typename Number>
3227 const unsigned int face_number)
3230 this->current_face_number = face_number;
3231 this->must_reinitialize_pointers =
false;
3233 if (this->use_linear_path)
3234 this->
template do_reinit<true, true>();
3236 this->
template do_reinit<true, false>();
3241template <
int n_components_,
int dim,
int spacedim,
typename Number>
3244 const unsigned int face_index)
3246 this->current_cell_index = face_index;
3247 this->current_face_number =
3248 this->mapping_info->get_face_number(face_index, this->is_interior);
3249 this->must_reinitialize_pointers =
false;
3251 if (this->use_linear_path)
3252 this->
template do_reinit<true, true>();
3254 this->
template do_reinit<true, false>();
3259template <
int n_components_,
int dim,
int spacedim,
typename Number>
3260template <std::
size_t str
ide_view>
3266 Assert(!this->must_reinitialize_pointers,
3267 ExcMessage(
"Object has not been reinitialized!"));
3269 if (this->n_q_points == 0)
3280 if (this->use_linear_path)
3281 do_evaluate<true>(solution_values, evaluation_flags);
3283 do_evaluate<false>(solution_values, evaluation_flags);
3288template <
int n_components_,
int dim,
int spacedim,
typename Number>
3295 solution_values.
size()),
3301template <
int n_components_,
int dim,
int spacedim,
typename Number>
3302template <
bool is_linear, std::
size_t str
ide_view>
3308 const unsigned int dofs_per_comp =
3312 if (stride_view == 1 && this->component_in_base_element == 0 &&
3313 (is_linear || this->renumber.empty()))
3314 input = solution_values.
data();
3317 for (
unsigned int comp = 0; comp < n_components; ++comp)
3319 const std::size_t offset =
3320 (this->component_in_base_element + comp) * dofs_per_comp;
3322 if (is_linear || this->renumber.empty())
3324 for (
unsigned int i = 0; i < dofs_per_comp; ++i)
3325 this->scratch_data_scalar[i + comp * dofs_per_comp] =
3326 solution_values[i + offset];
3330 const unsigned int *renumber_ptr = this->renumber.
data() + offset;
3331 for (
unsigned int i = 0; i < dofs_per_comp; ++i)
3332 this->scratch_data_scalar[i + comp * dofs_per_comp] =
3333 solution_values[renumber_ptr[i]];
3336 input = this->scratch_data_scalar.
data();
3340 this->scratch_data_scalar.begin() + dofs_per_comp * n_components;
3343 template interpolate<true, false>(n_components,
3348 this->current_face_number);
3350 do_evaluate_in_face<is_linear, 1>(output, evaluation_flags);
3355template <
int n_components_,
int dim,
int spacedim,
typename Number>
3356template <std::
size_t str
ide_view>
3361 const bool sum_into_values)
3363 Assert(!this->must_reinitialize_pointers,
3364 ExcMessage(
"Object has not been reinitialized!"));
3368 if (this->n_q_points == 0 ||
3370 (integration_flags &
3373 if (!sum_into_values)
3374 for (
unsigned int i = 0; i < solution_values.
size(); ++i)
3375 solution_values[i] = 0;
3381 if (this->use_linear_path)
3382 do_integrate<true, true>(solution_values,
3386 do_integrate<true, false>(solution_values,
3393template <
int n_components_,
int dim,
int spacedim,
typename Number>
3398 const bool sum_into_values)
3401 solution_values.
size()),
3408template <
int n_components_,
int dim,
int spacedim,
typename Number>
3409template <std::
size_t str
ide_view>
3414 const bool sum_into_values)
3416 Assert(!this->must_reinitialize_pointers,
3417 ExcMessage(
"Object has not been reinitialized!"));
3421 if (this->n_q_points == 0 ||
3423 (integration_flags &
3426 if (!sum_into_values)
3427 for (
unsigned int i = 0; i < solution_values.
size(); ++i)
3428 solution_values[i] = 0;
3434 if (this->use_linear_path)
3435 do_integrate<false, true>(solution_values,
3439 do_integrate<false, false>(solution_values,
3446template <
int n_components_,
int dim,
int spacedim,
typename Number>
3451 const bool sum_into_values)
3454 solution_values.
size()),
3461template <
int n_components_,
int dim,
int spacedim,
typename Number>
3462template <
bool do_JxW,
bool is_linear, std::
size_t str
ide_view>
3467 const bool sum_into_values)
3469 if (!sum_into_values && this->fe->n_components() > n_components)
3470 for (
unsigned int i = 0; i < solution_values.
size(); ++i)
3471 solution_values[i] = 0;
3473 do_integrate_in_face<do_JxW, is_linear, 1>(this->scratch_data_scalar.begin(),
3477 ScalarNumber *input = this->scratch_data_scalar.begin();
3479 if (stride_view == 1 && this->component_in_base_element == 0 &&
3480 (is_linear || this->renumber.empty()))
3482 if (sum_into_values)
3484 FEFaceNormalEvaluationImpl<dim, is_linear ? 1 : -1,
ScalarNumber>::
3485 template interpolate<false, true>(n_components,
3489 solution_values.
data(),
3490 this->current_face_number);
3493 FEFaceNormalEvaluationImpl<dim, is_linear ? 1 : -1,
ScalarNumber>::
3494 template interpolate<false, false>(n_components,
3498 solution_values.
data(),
3499 this->current_face_number);
3503 const unsigned int dofs_per_comp_face =
3504 is_linear ?
Utilities::pow(2, dim - 1) : this->dofs_per_component_face;
3506 const unsigned int size_input = 3 * dofs_per_comp_face * n_components;
3510 FEFaceNormalEvaluationImpl<dim, is_linear ? 1 : -1,
ScalarNumber>::
3511 template interpolate<false, false>(n_components,
3516 this->current_face_number);
3518 const unsigned int dofs_per_comp =
3521 for (
unsigned int comp = 0; comp < n_components; ++comp)
3523 const std::size_t offset =
3524 (this->component_in_base_element + comp) * dofs_per_comp;
3526 if (is_linear || this->renumber.empty())
3528 for (
unsigned int i = 0; i < dofs_per_comp; ++i)
3529 if (sum_into_values)
3530 solution_values[i + offset] +=
3531 output[i + comp * dofs_per_comp];
3533 solution_values[i + offset] =
3534 output[i + comp * dofs_per_comp];
3538 const unsigned int *renumber_ptr = this->renumber.
data() + offset;
3539 for (
unsigned int i = 0; i < dofs_per_comp; ++i)
3540 if (sum_into_values)
3541 solution_values[renumber_ptr[i]] +=
3542 output[i + comp * dofs_per_comp];
3544 solution_values[renumber_ptr[i]] =
3545 output[i + comp * dofs_per_comp];
3553template <
int n_components_,
int dim,
int spacedim,
typename Number>
3554template <
int str
ide_face_dof>
3560 if (this->use_linear_path)
3561 do_evaluate_in_face<true, stride_face_dof>(face_dof_values,
3564 do_evaluate_in_face<false, stride_face_dof>(face_dof_values,
3570template <
int n_components_,
int dim,
int spacedim,
typename Number>
3571template <
bool is_linear,
int str
ide_face_dof>
3578 if constexpr (n_components == 1)
3579 face_dof_values_ptr = face_dof_values;
3582 const unsigned int dofs_per_comp_face =
3583 is_linear ?
Utilities::pow(2, dim - 1) : this->dofs_per_component_face;
3584 for (
unsigned int comp = 0; comp < n_components; ++comp)
3585 for (
unsigned int i = 0; i < 2 * dofs_per_comp_face; ++i)
3586 ETT::read_value(face_dof_values[(i + comp * 3 * dofs_per_comp_face) *
3589 this->solution_renumbered[i]);
3591 face_dof_values_ptr = this->solution_renumbered.data();
3594 constexpr int stride_face_dof_actual =
3595 n_components == 1 ? stride_face_dof : 1;
3598 const unsigned int n_shapes = is_linear ? 2 : this->poly.size();
3600 for (
unsigned int qb = 0; qb < this->n_q_batches; ++qb)
3607 const std::array<vectorized_value_type, dim + 1> interpolated_value =
3614 stride_face_dof_actual>(face_dof_values_ptr,
3615 this->unit_point_faces_ptr[qb]) :
3622 stride_face_dof_actual>(this->shapes_faces.data() +
3625 face_dof_values_ptr);
3627 value = interpolated_value[dim - 1];
3630 if (this->current_face_number / 2 == 0)
3632 gradient[0] = interpolated_value[dim];
3634 gradient[1] = interpolated_value[0];
3636 gradient[2] = interpolated_value[1];
3638 else if (this->current_face_number / 2 == 1)
3641 gradient[1] = interpolated_value[dim];
3644 gradient[0] = interpolated_value[1];
3645 gradient[2] = interpolated_value[0];
3648 gradient[0] = interpolated_value[0];
3652 else if (this->current_face_number / 2 == 2)
3656 gradient[0] = interpolated_value[0];
3657 gradient[1] = interpolated_value[1];
3658 gradient[2] = interpolated_value[dim];
3673 stride_face_dof_actual>(face_dof_values_ptr,
3674 this->unit_point_faces_ptr[qb]) :
3680 stride_face_dof_actual>(this->shapes_faces.data() +
3683 face_dof_values_ptr);
3688 for (
unsigned int v = 0, offset = qb * stride;
3689 v < stride && (stride == 1 || offset < this->n_q_points_scalar);
3691 ETT::set_value(value, v, this->values[offset]);
3699 for (
unsigned int v = 0, offset = qb * stride;
3700 v < stride && (stride == 1 || offset < this->n_q_points_scalar);
3704 ETT::set_gradient(gradient, v, unit_gradient);
3705 this->gradients[offset] =
3709 this->inverse_jacobian_ptr[0].
transpose(), unit_gradient) :
3712 ->inverse_jacobian_ptr[this->cell_type <=
3714 GeometryType::affine ?
3726template <
int n_components_,
int dim,
int spacedim,
typename Number>
3727template <
int str
ide_face_dof>
3732 const bool sum_into_values)
3734 if (this->use_linear_path)
3735 do_integrate_in_face<true, true, stride_face_dof>(face_dof_values,
3739 do_integrate_in_face<true, false, stride_face_dof>(face_dof_values,
3746template <
int n_components_,
int dim,
int spacedim,
typename Number>
3747template <
bool do_JxW,
bool is_linear,
int str
ide_face_dof>
3753 const bool sum_into_values)
3756 if constexpr (stride == 1)
3757 if (
const unsigned int n_filled_lanes =
3758 this->n_q_points_scalar & (n_lanes_internal - 1);
3762 for (
unsigned int v = n_filled_lanes; v < n_lanes_internal; ++v)
3763 ETT::set_zero_value(this->values.back(), v);
3765 for (
unsigned int v = n_filled_lanes; v < n_lanes_internal; ++v)
3766 ETT::set_zero_gradient(this->gradients.back(), v);
3771 solution_values_vectorized_linear = {};
3774 const unsigned int n_shapes = is_linear ? 2 : this->poly.size();
3776 const bool cartesian_cell =
3778 const bool affine_cell =
3780 for (
unsigned int qb = 0; qb < this->n_q_batches; ++qb)
3786 for (
unsigned int v = 0, offset = qb * stride;
3787 v < stride && (stride == 1 || offset < this->n_q_points_scalar);
3789 ETT::get_value(value,
3791 do_JxW ? this->values[offset] * this->JxW_ptr[offset] :
3792 this->values[offset]);
3795 for (
unsigned int v = 0, offset = qb * stride;
3796 v < stride && (stride == 1 || offset < this->n_q_points_scalar);
3800 do_JxW ? this->gradients[offset] * this->JxW_ptr[offset] :
3801 this->gradients[offset];
3809 this->inverse_jacobian_ptr[affine_cell ? 0 : offset],
3815 std::array<vectorized_value_type, 2> value_face = {};
3818 value_face[0] = value;
3821 if (this->current_face_number / 2 == 0)
3823 value_face[1] = gradient[0];
3825 gradient_in_face[0] = gradient[1];
3827 gradient_in_face[1] = gradient[2];
3829 else if (this->current_face_number / 2 == 1)
3832 value_face[1] = gradient[1];
3835 gradient_in_face[0] = gradient[2];
3836 gradient_in_face[1] = gradient[0];
3839 gradient_in_face[0] = gradient[0];
3843 else if (this->current_face_number / 2 == 2)
3847 value_face[1] = gradient[2];
3848 gradient_in_face[0] = gradient[0];
3849 gradient_in_face[1] = gradient[1];
3862 2>(this->shapes_faces.data() + qb * n_shapes,
3866 is_linear ? solution_values_vectorized_linear.data() :
3867 this->solution_renumbered_vectorized.data(),
3868 this->unit_point_faces_ptr[qb],
3876 this->shapes_faces.data() + qb * n_shapes,
3879 is_linear ? solution_values_vectorized_linear.data() :
3880 this->solution_renumbered_vectorized.data(),
3881 this->unit_point_faces_ptr[qb],
3885 const unsigned int dofs_per_comp_face =
3886 is_linear ?
Utilities::pow(2, dim - 1) : this->dofs_per_component_face;
3888 for (
unsigned int comp = 0; comp < n_components; ++comp)
3889 for (
unsigned int i = 0; i < 2 * dofs_per_comp_face; ++i)
3890 if (sum_into_values)
3891 face_dof_values[(i + comp * 3 * dofs_per_comp_face) *
3893 ETT::sum_value(comp,
3895 *(solution_values_vectorized_linear.data() + i) :
3896 this->solution_renumbered_vectorized[i]);
3898 face_dof_values[(i + comp * 3 * dofs_per_comp_face) * stride_face_dof] =
3899 ETT::sum_value(comp,
3901 *(solution_values_vectorized_linear.data() + i) :
3902 this->solution_renumbered_vectorized[i]);
3907template <
int n_components_,
int dim,
int spacedim,
typename Number>
3910 const unsigned int point_index)
const
3913 Assert(this->normal_ptr !=
nullptr,
3915 ExcFEPointEvaluationAccessToUninitializedMappingField(
3916 "update_normal_vectors"));
3920 for (
unsigned int d = 0; d < dim; ++d)
3929 return this->normal_ptr[point_index];
3935template <
int n_components_,
int dim,
int spacedim,
typename Number>
3944 return this->gradients[point_index] * normal_vector(point_index);
3949template <
int n_components_,
int dim,
int spacedim,
typename Number>
3953 const unsigned int point_index)
3956 if constexpr (n_components == 1)
3957 this->gradients[point_index] = value * normal_vector(point_index);
3959 this->gradients[point_index] =
value_type * data() const noexcept
typename ETT::vectorized_value_type vectorized_value_type
static constexpr std::size_t n_lanes_internal
void do_integrate_in_face(ScalarNumber *face_dof_values, const EvaluationFlags::EvaluationFlags &integration_flags, const bool sum_into_values)
void integrate_in_face(ScalarNumber *face_dof_values, const EvaluationFlags::EvaluationFlags &integration_flags, const bool sum_into_values=false)
typename ETT::scalar_value_type scalar_value_type
typename internal::VectorizedArrayTrait< Number >::value_type ScalarNumber
void evaluate(const StridedArrayView< const ScalarNumber, stride_view > &solution_values, const EvaluationFlags::EvaluationFlags &evaluation_flags)
void do_evaluate_in_face(const ScalarNumber *face_dof_values, const EvaluationFlags::EvaluationFlags &evaluation_flags)
void submit_normal_derivative(const value_type &, const unsigned int point_index)
typename internal::FEPointEvaluation::EvaluatorTypeTraits< dim, spacedim, n_components, Number > ETT
static constexpr std::size_t stride
typename ETT::interface_vectorized_unit_gradient_type interface_vectorized_unit_gradient_type
void do_evaluate(const StridedArrayView< const ScalarNumber, stride_view > &solution_values, const EvaluationFlags::EvaluationFlags &evaluation_flags)
static constexpr unsigned int n_components
static constexpr std::size_t n_lanes_user_interface
typename ETT::real_gradient_type gradient_type
void evaluate_in_face(const ScalarNumber *face_dof_values, const EvaluationFlags::EvaluationFlags &evaluation_flags)
void reinit(const unsigned int cell_index, const unsigned int face_number)
void test_and_sum(const StridedArrayView< ScalarNumber, stride_view > &solution_values, const EvaluationFlags::EvaluationFlags &integration_flags, const bool sum_into_values=false)
FEFacePointEvaluation(NonMatching::MappingInfo< dim, spacedim, Number > &mapping_info, const FiniteElement< dim, spacedim > &fe, const bool is_interior=true, const unsigned int first_selected_component=0)
typename ETT::unit_gradient_type unit_gradient_type
const value_type get_normal_derivative(const unsigned int point_index) const
void do_integrate(const StridedArrayView< ScalarNumber, stride_view > &solution_values, const EvaluationFlags::EvaluationFlags &integration_flags, const bool sum_into_values)
void integrate(const StridedArrayView< ScalarNumber, stride_view > &solution_values, const EvaluationFlags::EvaluationFlags &integration_flags, const bool sum_into_values=false)
static constexpr unsigned int dimension
Tensor< 1, spacedim, Number > normal_vector(const unsigned int point_index) const
typename ETT::value_type value_type
typename ::internal::VectorizedArrayTrait< Number >::vectorized_value_type VectorizedArrayType
ObserverPointer< const Mapping< dim, spacedim > > mapping
const DerivativeForm< 1, dim, spacedim, Number > * jacobian_ptr
std::unique_ptr< NonMatching::MappingInfo< dim, spacedim, Number > > mapping_info_on_the_fly
std::vector< gradient_type > gradients
unsigned int dofs_per_component
typename ETT::interface_vectorized_unit_gradient_type interface_vectorized_unit_gradient_type
Number get_divergence(const unsigned int point_index) const
unsigned int dofs_per_component_face
Number JxW(const unsigned int point_index) const
const UpdateFlags update_flags
static constexpr std::size_t n_lanes_user_interface
static constexpr std::size_t stride
internal::MatrixFreeFunctions::GeometryType cell_type
std::vector< Polynomials::Polynomial< double > > poly
Point< spacedim, Number > real_point(const unsigned int point_index) const
const unsigned int n_q_points_scalar
const Point< dim, VectorizedArrayType > * unit_point_ptr
FEPointEvaluationBase(FEPointEvaluationBase &&other) noexcept
AlignedVector< ScalarNumber > scratch_data_scalar
std_cxx20::ranges::iota_view< unsigned int, unsigned int > quadrature_point_indices() const
ObserverPointer< NonMatching::MappingInfo< dim, spacedim, Number > > mapping_info
const value_type & get_value(const unsigned int point_index) const
const Point< dim - 1, VectorizedArrayType > * unit_point_faces_ptr
std::vector< scalar_value_type > solution_renumbered
const unsigned int n_q_batches
ObserverPointer< const FiniteElement< dim, spacedim > > fe
std::vector< std::array< bool, n_components > > nonzero_shape_function_component
Point< spacedim, Number > quadrature_point(const unsigned int point_index) const
unsigned int n_active_entries_per_quadrature_batch(unsigned int q)
const gradient_type & get_gradient(const unsigned int point_index) const
std::shared_ptr< FEValues< dim, spacedim > > fe_values
FEPointEvaluationBase(const Mapping< dim, spacedim > &mapping, const FiniteElement< dim, spacedim > &fe, const UpdateFlags update_flags, const unsigned int first_selected_component=0)
std::vector< unsigned int > renumber
std::vector< value_type > values
AlignedVector<::ndarray< VectorizedArrayType, 2, dim - 1 > > shapes_faces
Point< dim, Number > unit_point(const unsigned int point_index) const
const unsigned int n_q_points
void submit_divergence(const Number &value, const unsigned int point_index)
bool must_reinitialize_pointers
const Tensor< 1, spacedim, Number > * normal_ptr
DerivativeForm< 1, spacedim, dim, Number > inverse_jacobian(const unsigned int point_index) const
AlignedVector< vectorized_value_type > solution_renumbered_vectorized
static constexpr std::size_t n_lanes_internal
const DerivativeForm< 1, spacedim, dim, Number > * inverse_jacobian_ptr
AlignedVector<::ndarray< VectorizedArrayType, 2, dim > > shapes
typename ETT::value_type value_type
unsigned int current_cell_index
scalar_value_type integrate_value() const
void submit_gradient(const gradient_type &, const unsigned int point_index)
void setup(const unsigned int first_selected_component)
FEPointEvaluationBase(NonMatching::MappingInfo< dim, spacedim, Number > &mapping_info, const FiniteElement< dim, spacedim > &fe, const unsigned int first_selected_component=0, const bool is_interior=true)
typename ETT::scalar_value_type scalar_value_type
static constexpr unsigned int dimension
typename ::internal::VectorizedArrayTrait< Number >::vectorized_value_type VectorizedArrayType
typename ETT::vectorized_value_type vectorized_value_type
static constexpr unsigned int n_components
typename internal::FEPointEvaluation::EvaluatorTypeTraits< dim, spacedim, n_components, Number > ETT
unsigned int current_face_number
FEPointEvaluationBase(FEPointEvaluationBase &other) noexcept
DerivativeForm< 1, dim, spacedim, Number > jacobian(const unsigned int point_index) const
typename ETT::real_gradient_type gradient_type
const Point< spacedim, Number > * real_point_ptr
unsigned int component_in_base_element
internal::MatrixFreeFunctions::ShapeInfo< ScalarNumber > shape_info
void submit_value(const value_type &value, const unsigned int point_index)
typename internal::VectorizedArrayTrait< Number >::value_type ScalarNumber
static constexpr std::size_t stride
void integrate_slow(const StridedArrayView< ScalarNumber, stride_view > &solution_values, const EvaluationFlags::EvaluationFlags &integration_flags, const bool sum_into_values)
static constexpr unsigned int dimension
typename ETT::value_type value_type
void do_integrate(const StridedArrayView< ScalarNumber, stride_view > &solution_values, const EvaluationFlags::EvaluationFlags &integration_flags, const bool sum_into_values)
void evaluate_fast(const StridedArrayView< const ScalarNumber, stride_view > &solution_values, const EvaluationFlags::EvaluationFlags &evaluation_flags)
typename ETT::scalar_value_type scalar_value_type
typename ETT::unit_gradient_type unit_gradient_type
void evaluate(const StridedArrayView< const ScalarNumber, stride_view > &solution_values, const EvaluationFlags::EvaluationFlags &evaluation_flags)
const value_type get_normal_derivative(const unsigned int point_index) const
void prepare_evaluate_fast(const StridedArrayView< const ScalarNumber, stride_view > &solution_values)
void test_and_sum(const StridedArrayView< ScalarNumber, stride_view > &solution_values, const EvaluationFlags::EvaluationFlags &integration_flags, const bool sum_into_values=false)
void integrate(const StridedArrayView< ScalarNumber, stride_view > &solution_values, const EvaluationFlags::EvaluationFlags &integration_flags, const bool sum_into_values=false)
typename internal::VectorizedArrayTrait< Number >::value_type ScalarNumber
typename ETT::vectorized_value_type vectorized_value_type
void compute_integrate_fast(const EvaluationFlags::EvaluationFlags &integration_flags, const unsigned int n_shapes, const unsigned int qb, const vectorized_value_type value, const interface_vectorized_unit_gradient_type gradient, vectorized_value_type *solution_values_vectorized_linear)
typename ::internal::VectorizedArrayTrait< Number >::vectorized_value_type VectorizedArrayType
typename ETT::real_gradient_type gradient_type
FEPointEvaluation(const Mapping< dim, spacedim > &mapping, const FiniteElement< dim, spacedim > &fe, const UpdateFlags update_flags, const unsigned int first_selected_component=0)
void submit_normal_derivative(const value_type &, const unsigned int point_index)
void evaluate_slow(const StridedArrayView< const ScalarNumber, stride_view > &solution_values, const EvaluationFlags::EvaluationFlags &evaluation_flags)
static constexpr std::size_t n_lanes_internal
static constexpr unsigned int n_components
void finish_integrate_fast(const StridedArrayView< ScalarNumber, stride_view > &solution_values, vectorized_value_type *solution_values_vectorized_linear, const bool sum_into_values)
typename internal::FEPointEvaluation::EvaluatorTypeTraits< dim, spacedim, n_components, Number > ETT
void internal_reinit_single_cell_state_mapping_info()
void compute_evaluate_fast(const StridedArrayView< const ScalarNumber, stride_view > &solution_values, const EvaluationFlags::EvaluationFlags &evaluation_flags, const unsigned int n_shapes, const unsigned int qb, vectorized_value_type &value, interface_vectorized_unit_gradient_type &gradient)
void integrate_fast(const StridedArrayView< ScalarNumber, stride_view > &solution_values, const EvaluationFlags::EvaluationFlags &integration_flags, const bool sum_into_values)
static constexpr std::size_t n_lanes_user_interface
typename ETT::interface_vectorized_unit_gradient_type interface_vectorized_unit_gradient_type
Tensor< 1, spacedim, Number > normal_vector(const unsigned int point_index) const
Abstract base class for mapping classes.
value_type * data() const noexcept
Tensor< rank, dim, Number > sum(const Tensor< rank, dim, Number > &local, const MPI_Comm mpi_communicator)
#define DEAL_II_DEPRECATED
#define DEAL_II_NAMESPACE_OPEN
#define DEAL_II_NAMESPACE_CLOSE
static ::ExceptionBase & ExcNotImplemented()
#define Assert(cond, exc)
#define AssertDimension(dim1, dim2)
static ::ExceptionBase & ExcFEPointEvaluationAccessToUninitializedMappingField(std::string arg1)
#define AssertIndexRange(index, range)
static ::ExceptionBase & ExcNotInitialized()
#define DeclException1(Exception1, type1, outsequence)
static ::ExceptionBase & ExcMessage(std::string arg1)
#define AssertThrow(cond, exc)
@ update_values
Shape function values.
@ update_normal_vectors
Normal vectors.
@ update_JxW_values
Transformed quadrature weights.
@ update_jacobians
Volume element.
@ update_inverse_jacobians
Volume element.
@ update_gradients
Shape function gradients.
@ update_quadrature_points
Transformed quadrature points.
#define DEAL_II_ASSERT_UNREACHABLE()
EvaluationFlags
The EvaluationFlags enum.
constexpr T pow(const T base, const int iexp)
std::vector< Polynomials::Polynomial< double > > get_polynomial_space(const FiniteElement< dim, spacedim > &fe)
bool is_fast_path_supported(const FiniteElement< dim, spacedim > &fe, const unsigned int base_element_number)
std::array< typename ProductTypeNoPoint< Number, Number2 >::type, dim+n_values > evaluate_tensor_product_value_and_gradient_shapes(const ::ndarray< Number2, 2, dim > *shapes, const int n_shapes, const Number *values, const std::vector< unsigned int > &renumber={})
void integrate_tensor_product_value_and_gradient(const ::ndarray< Number, 2, dim > *shapes, const unsigned int n_shapes, const Number2 *value, const Tensor< 1, dim, Number2 > &gradient, Number2 *values, const Point< dim, Number > &p, const bool do_add)
void compute_values_of_array_in_pairs(::ndarray< Number, 2, dim > *shapes, const std::vector< Polynomials::Polynomial< double > > &poly, const Point< dim, Number > &p0, const Point< dim, Number > &p1)
ProductTypeNoPoint< Number, Number2 >::type evaluate_tensor_product_value_shapes(const ::ndarray< Number2, 2, dim > *shapes, const int n_shapes, const Number *values, const std::vector< unsigned int > &renumber={})
void compute_values_of_array(::ndarray< Number, 2, dim > *shapes, const std::vector< Polynomials::Polynomial< double > > &poly, const Point< dim, Number > &p, const unsigned int derivative=1)
ProductTypeNoPoint< Number, Number2 >::type evaluate_tensor_product_value_linear(const Number *values, const Point< dim, Number2 > &p)
std::array< typename ProductTypeNoPoint< Number, Number2 >::type, dim+n_values > evaluate_tensor_product_value_and_gradient_linear(const Number *values, const Point< dim, Number2 > &p)
void integrate_tensor_product_value(const ::ndarray< Number, 2, dim > *shapes, const unsigned int n_shapes, const Number2 &value, Number2 *values, const Point< dim, Number > &p, const bool do_add)
static const unsigned int invalid_unsigned_int
boost::integer_range< IncrementableType > iota_view
typename internal::ndarray::HelperArray< T, Ns... >::type ndarray
static void set_zero_gradient(unit_gradient_type &value, const unsigned int vector_lane)
static void access(value_type &value, const unsigned int vector_lane, const unsigned int component, const ScalarNumber &shape_value)
static void set_value(const vectorized_value_type &value, const unsigned int vector_lane, scalar_value_type &result)
static Tensor< 1, dim, ScalarNumber > access(const real_gradient_type &value, const unsigned int vector_lane, const unsigned int component)
static void get_value(vectorized_value_type &value, const unsigned int, const vectorized_value_type &result)
static void set_zero_value(value_type &value, const unsigned int vector_lane)
static void set_gradient(const interface_vectorized_unit_gradient_type &value, const unsigned int vector_lane, unit_gradient_type &result)
static void read_value(const ScalarNumber vector_entry, const unsigned int component, scalar_value_type &result)
static void access(real_gradient_type &value, const unsigned int vector_lane, const unsigned int component, const Tensor< 1, dim, ScalarNumber > &shape_gradient)
static scalar_value_type sum_value(const vectorized_value_type &result)
static scalar_value_type sum_value(const scalar_value_type &result)
static ScalarNumber sum_value(const unsigned int component, const vectorized_value_type &result)
static ScalarNumber access(const value_type &value, const unsigned int vector_lane, const unsigned int component)
static void get_value(vectorized_value_type &value, const unsigned int vector_lane, const scalar_value_type &result)
typename ::internal::VectorizedArrayTrait< Number >::vectorized_value_type VectorizedArrayType
static void get_gradient(interface_vectorized_unit_gradient_type &value, const unsigned int vector_lane, const unit_gradient_type &result)
static void set_value(const vectorized_value_type &value, const unsigned int, vectorized_value_type &result)
typename internal::VectorizedArrayTrait< Number >::value_type ScalarNumber
static ScalarNumber access(const value_type &value, const unsigned int vector_lane, const unsigned int)
static void get_gradient(vectorized_unit_gradient_type &value, const unsigned int, const vectorized_unit_gradient_type &result)
static scalar_value_type sum_value(const scalar_value_type &result)
static void get_value(vectorized_value_type &value, const unsigned int, const vectorized_value_type &result)
static void set_gradient(const vectorized_unit_gradient_type &value, const unsigned int vector_lane, scalar_unit_gradient_type &result)
static void set_zero_value(value_type &value, const unsigned int vector_lane)
static Tensor< 1, spacedim, ScalarNumber > access(const real_gradient_type &value, const unsigned int vector_lane, const unsigned int)
static void set_value(const vectorized_value_type &value, const unsigned int, vectorized_value_type &result)
VectorizedArrayType vectorized_value_type
typename internal::VectorizedArrayTrait< Number >::value_type ScalarNumber
static void get_value(vectorized_value_type &value, const unsigned int vector_lane, const scalar_value_type &result)
static scalar_value_type sum_value(const vectorized_value_type &result)
static void access(real_gradient_type &value, const unsigned int vector_lane, const unsigned int, const Tensor< 1, spacedim, ScalarNumber > &shape_gradient)
static void set_gradient(const vectorized_unit_gradient_type &value, const unsigned int, vectorized_unit_gradient_type &result)
ScalarNumber scalar_value_type
static void set_value(const vectorized_value_type &value, const unsigned int vector_lane, scalar_value_type &result)
static void set_zero_gradient(real_gradient_type &value, const unsigned int vector_lane)
static void access(value_type &value, const unsigned int vector_lane, const unsigned int, const ScalarNumber &shape_value)
static void get_gradient(vectorized_unit_gradient_type &value, const unsigned int vector_lane, const scalar_unit_gradient_type &result)
static ScalarNumber sum_value(const unsigned int, const vectorized_value_type &result)
static void read_value(const ScalarNumber vector_entry, const unsigned int, scalar_value_type &result)
typename ::internal::VectorizedArrayTrait< Number >::vectorized_value_type VectorizedArrayType
static Tensor< 1, spacedim, ScalarNumber > access(const real_gradient_type &value, const unsigned int vector_lane, const unsigned int component)
static void get_gradient(interface_vectorized_unit_gradient_type &value, const unsigned int vector_lane, const DerivativeForm< 1, dim, n_components, Number > &result)
static void get_value(vectorized_value_type &value, const unsigned int, const vectorized_value_type &result)
static void get_value(vectorized_value_type &value, const unsigned int vector_lane, const scalar_value_type &result)
static void set_value(const vectorized_value_type &value, const unsigned int, vectorized_value_type &result)
static scalar_value_type sum_value(const scalar_value_type &result)
typename ::internal::VectorizedArrayTrait< Number >::vectorized_value_type VectorizedArrayType
static scalar_value_type sum_value(const vectorized_value_type &result)
static void read_value(const ScalarNumber vector_entry, const unsigned int component, scalar_value_type &result)
Tensor< 1, n_components, ScalarNumber > scalar_value_type
static void set_value(const vectorized_value_type &value, const unsigned int vector_lane, scalar_value_type &result)
static ScalarNumber access(const value_type &value, const unsigned int vector_lane, const unsigned int component)
static ScalarNumber sum_value(const unsigned int component, const vectorized_value_type &result)
Tensor< 1, n_components, Tensor< 1, dim, VectorizedArrayType > > vectorized_unit_gradient_type
static void set_zero_value(value_type &value, const unsigned int vector_lane)
static void set_gradient(const interface_vectorized_unit_gradient_type &value, const unsigned int vector_lane, unit_gradient_type &result)
static void set_zero_gradient(real_gradient_type &value, const unsigned int vector_lane)
typename internal::VectorizedArrayTrait< Number >::value_type ScalarNumber
static void get_gradient(interface_vectorized_unit_gradient_type &value, const unsigned int vector_lane, const unit_gradient_type &result)
std::conditional_t< n_components==spacedim, Tensor< 2, spacedim, Number >, Tensor< 1, n_components, Tensor< 1, spacedim, Number > > > real_gradient_type
Tensor< 1, n_components, VectorizedArrayType > vectorized_value_type
static void access(real_gradient_type &value, const unsigned int vector_lane, const unsigned int component, const Tensor< 1, spacedim, ScalarNumber > &shape_gradient)
Tensor< 1, n_components, Tensor< 1, dim, Number > > unit_gradient_type
static void access(value_type &value, const unsigned int vector_lane, const unsigned int component, const ScalarNumber &shape_value)
static constexpr std::size_t width()
static constexpr std::size_t stride()
static value_type & get(value_type &value, unsigned int c)
DEAL_II_HOST constexpr SymmetricTensor< 4, dim, Number > outer_product(const SymmetricTensor< 2, dim, Number > &t1, const SymmetricTensor< 2, dim, Number > &t2)
DEAL_II_HOST constexpr Number trace(const SymmetricTensor< 2, dim2, Number > &)