A class for creating a 3D spline approximation of a function. More...
#include <spline_builder_3d.hpp>

Public Types | |
| using | exec_space = ExecSpace |
| The type of the Kokkos execution space used by this class. | |
| using | memory_space = MemorySpace |
| The type of the Kokkos memory space used by this class. | |
| using | builder_type1 = ddc::SplineBuilder< ExecSpace, MemorySpace, BSpline1, DDimI1, BcLower1, BcUpper1, Solver > |
| The type of the SplineBuilder used by this class to spline-approximate along first dimension. | |
| using | builder_type_2_3 = ddc::SplineBuilder2D< ExecSpace, MemorySpace, BSpline2, BSpline3, DDimI2, DDimI3, BcLower2, BcUpper2, BcLower3, BcUpper3, Solver > |
| The type of SplineBuilder used by this class to spline-approximate along the second and third dimensions. | |
| using | continuous_dimension_type1 = typename builder_type1::continuous_dimension_type |
| The type of the first interpolation continuous dimension. | |
| using | continuous_dimension_type2 = typename builder_type_2_3::continuous_dimension_type1 |
| The type of the second interpolation continuous dimension. | |
| using | continuous_dimension_type3 = typename builder_type_2_3::continuous_dimension_type2 |
| The type of the third interpolation continuous dimension. | |
| using | interpolation_discrete_dimension_type1 = typename builder_type1::interpolation_discrete_dimension_type |
| The type of the first interpolation discrete dimension. | |
| using | interpolation_discrete_dimension_type2 = typename builder_type_2_3::interpolation_discrete_dimension_type1 |
| The type of the second interpolation discrete dimension. | |
| using | interpolation_discrete_dimension_type3 = typename builder_type_2_3::interpolation_discrete_dimension_type2 |
| The type of the third interpolation discrete dimension. | |
| using | bsplines_type1 = typename builder_type1::bsplines_type |
| The type of the B-splines in the first dimension. | |
| using | bsplines_type2 = typename builder_type_2_3::bsplines_type1 |
| The type of the B-splines in the second dimension. | |
| using | bsplines_type3 = typename builder_type_2_3::bsplines_type2 |
| The type of the B-splines in the third dimension. | |
| using | deriv_type1 = typename builder_type1::deriv_type |
| The type of the Deriv domain on boundaries in the first dimension. | |
| using | deriv_type2 = typename builder_type_2_3::deriv_type1 |
| The type of the Deriv domain on boundaries in the second dimension. | |
| using | deriv_type3 = typename builder_type_2_3::deriv_type2 |
| The type of the Deriv domain on boundaries in the third dimension. | |
| using | interpolation_domain_type1 = typename builder_type1::interpolation_discrete_dimension_type |
| The type of the domain for the interpolation mesh in the first dimension. | |
| using | interpolation_domain_type2 = typename builder_type_2_3::interpolation_discrete_dimension_type1 |
| The type of the domain for the interpolation mesh in the second dimension. | |
| using | interpolation_domain_type3 = typename builder_type_2_3::interpolation_discrete_dimension_type2 |
| The type of the domain for the interpolation mesh in the third dimension. | |
| using | interpolation_domain_type = ddc::DiscreteDomain< interpolation_discrete_dimension_type1, interpolation_discrete_dimension_type2, interpolation_discrete_dimension_type3 > |
| The type of the domain for the interpolation mesh in the 3D dimension. | |
| template<class BatchedInterpolationDDom , class = std::enable_if_t<ddc::is_discrete_domain_v<BatchedInterpolationDDom>>> | |
| using | batched_interpolation_domain_type = BatchedInterpolationDDom |
| The type of the whole domain representing interpolation points. | |
| template<class BatchedInterpolationDDom , class = std::enable_if_t<ddc::is_discrete_domain_v<BatchedInterpolationDDom>>> | |
| using | batch_domain_type = ddc::remove_dims_of_t< BatchedInterpolationDDom, interpolation_discrete_dimension_type1, interpolation_discrete_dimension_type2, interpolation_discrete_dimension_type3 > |
| The type of the batch domain (obtained by removing the dimensions of interest from the whole domain). | |
| template<class BatchedInterpolationDDom , class = std::enable_if_t<ddc::is_discrete_domain_v<BatchedInterpolationDDom>>> | |
| using | batched_spline_domain_type = ddc::detail::convert_type_seq_to_discrete_domain_t< ddc::type_seq_replace_t< ddc::to_type_seq_t< BatchedInterpolationDDom >, ddc::detail::TypeSeq< interpolation_discrete_dimension_type1, interpolation_discrete_dimension_type2, interpolation_discrete_dimension_type3 >, ddc::detail::TypeSeq< bsplines_type1, bsplines_type2, bsplines_type3 > > > |
| The type of the whole spline domain (cartesian product of 3D spline domain and batch domain) preserving the order of dimensions. | |
| template<class BatchedInterpolationDDom , class = std::enable_if_t<ddc::is_discrete_domain_v<BatchedInterpolationDDom>>> | |
| using | batched_derivs_domain_type1 = ddc::replace_dim_of_t< BatchedInterpolationDDom, interpolation_discrete_dimension_type1, deriv_type1 > |
| The type of the whole Derivs domain (cartesian product of the 1D Deriv domain and the associated batch domain) in the first dimension, preserving the order of dimensions. | |
| template<class BatchedInterpolationDDom , class = std::enable_if_t<ddc::is_discrete_domain_v<BatchedInterpolationDDom>>> | |
| using | batched_derivs_domain_type2 = ddc::replace_dim_of_t< BatchedInterpolationDDom, interpolation_discrete_dimension_type2, deriv_type2 > |
| The type of the whole Derivs domain (cartesian product of the 1D Deriv domain and the associated batch domain) in the second dimension, preserving the order of dimensions. | |
| template<class BatchedInterpolationDDom , class = std::enable_if_t<ddc::is_discrete_domain_v<BatchedInterpolationDDom>>> | |
| using | batched_derivs_domain_type3 = ddc::replace_dim_of_t< BatchedInterpolationDDom, interpolation_discrete_dimension_type3, deriv_type3 > |
| The type of the whole Derivs domain (cartesian product of the 1D Deriv domain and the associated batch domain) in the third dimension, preserving the order of dimensions. | |
| template<class BatchedInterpolationDDom , class = std::enable_if_t<ddc::is_discrete_domain_v<BatchedInterpolationDDom>>> | |
| using | batched_derivs_domain_type1_2 = ddc::replace_dim_of_t< ddc::replace_dim_of_t< BatchedInterpolationDDom, interpolation_discrete_dimension_type1, deriv_type1 >, interpolation_domain_type2, deriv_type2 > |
| The type of the whole Derivs domain (cartesian product of the 2D Deriv domain and the associated batch domain) in the first and second dimensions, preserving the order of dimensions. | |
| template<class BatchedInterpolationDDom , class = std::enable_if_t<ddc::is_discrete_domain_v<BatchedInterpolationDDom>>> | |
| using | batched_derivs_domain_type2_3 = ddc::replace_dim_of_t< ddc::replace_dim_of_t< BatchedInterpolationDDom, interpolation_discrete_dimension_type2, deriv_type2 >, interpolation_domain_type3, deriv_type3 > |
| The type of the whole Derivs domain (cartesian product of the 2D Deriv domain and the associated batch domain) in the second and third dimensions, preserving the order of dimensions. | |
| template<class BatchedInterpolationDDom , class = std::enable_if_t<ddc::is_discrete_domain_v<BatchedInterpolationDDom>>> | |
| using | batched_derivs_domain_type1_3 = ddc::replace_dim_of_t< ddc::replace_dim_of_t< BatchedInterpolationDDom, interpolation_discrete_dimension_type1, deriv_type1 >, interpolation_domain_type3, deriv_type3 > |
| The type of the whole Derivs domain (cartesian product of the 2D Deriv domain and the associated batch domain) in the first and third dimensions, preserving the order of dimensions. | |
| template<class BatchedInterpolationDDom , class = std::enable_if_t<ddc::is_discrete_domain_v<BatchedInterpolationDDom>>> | |
| using | batched_derivs_domain_type = ddc::detail::convert_type_seq_to_discrete_domain_t< ddc::type_seq_replace_t< ddc::to_type_seq_t< BatchedInterpolationDDom >, ddc::detail::TypeSeq< interpolation_discrete_dimension_type1, interpolation_discrete_dimension_type2, interpolation_discrete_dimension_type3 >, ddc::detail::TypeSeq< deriv_type1, deriv_type2, deriv_type3 > > > |
| The type of the whole Derivs domain (cartesian product of the 3D Deriv domain and the batch domain), preserving the order of dimensions. | |
A class for creating a 3D spline approximation of a function.
A class which contains an operator () which can be used to build a 3D spline approximation of a function. A 3D spline approximation uses a cross-product between three 1D SplineBuilder.
Definition at line 43 of file spline_builder_3d.hpp.
| using ddc::SplineBuilder3D< ExecSpace, MemorySpace, BSpline1, BSpline2, BSpline3, DDimI1, DDimI2, DDimI3, BcLower1, BcUpper1, BcLower2, BcUpper2, BcLower3, BcUpper3, Solver >::exec_space = ExecSpace |
The type of the Kokkos execution space used by this class.
Definition at line 47 of file spline_builder_3d.hpp.
| using ddc::SplineBuilder3D< ExecSpace, MemorySpace, BSpline1, BSpline2, BSpline3, DDimI1, DDimI2, DDimI3, BcLower1, BcUpper1, BcLower2, BcUpper2, BcLower3, BcUpper3, Solver >::memory_space = MemorySpace |
The type of the Kokkos memory space used by this class.
Definition at line 50 of file spline_builder_3d.hpp.
| using ddc::SplineBuilder3D< ExecSpace, MemorySpace, BSpline1, BSpline2, BSpline3, DDimI1, DDimI2, DDimI3, BcLower1, BcUpper1, BcLower2, BcUpper2, BcLower3, BcUpper3, Solver >::builder_type1 = ddc:: SplineBuilder<ExecSpace, MemorySpace, BSpline1, DDimI1, BcLower1, BcUpper1, Solver> |
The type of the SplineBuilder used by this class to spline-approximate along first dimension.
Definition at line 53 of file spline_builder_3d.hpp.
| using ddc::SplineBuilder3D< ExecSpace, MemorySpace, BSpline1, BSpline2, BSpline3, DDimI1, DDimI2, DDimI3, BcLower1, BcUpper1, BcLower2, BcUpper2, BcLower3, BcUpper3, Solver >::builder_type_2_3 = ddc::SplineBuilder2D< ExecSpace, MemorySpace, BSpline2, BSpline3, DDimI2, DDimI3, BcLower2, BcUpper2, BcLower3, BcUpper3, Solver> |
The type of SplineBuilder used by this class to spline-approximate along the second and third dimensions.
Definition at line 57 of file spline_builder_3d.hpp.
| using ddc::SplineBuilder3D< ExecSpace, MemorySpace, BSpline1, BSpline2, BSpline3, DDimI1, DDimI2, DDimI3, BcLower1, BcUpper1, BcLower2, BcUpper2, BcLower3, BcUpper3, Solver >::continuous_dimension_type1 = typename builder_type1::continuous_dimension_type |
The type of the first interpolation continuous dimension.
Definition at line 71 of file spline_builder_3d.hpp.
| using ddc::SplineBuilder3D< ExecSpace, MemorySpace, BSpline1, BSpline2, BSpline3, DDimI1, DDimI2, DDimI3, BcLower1, BcUpper1, BcLower2, BcUpper2, BcLower3, BcUpper3, Solver >::continuous_dimension_type2 = typename builder_type_2_3::continuous_dimension_type1 |
The type of the second interpolation continuous dimension.
Definition at line 74 of file spline_builder_3d.hpp.
| using ddc::SplineBuilder3D< ExecSpace, MemorySpace, BSpline1, BSpline2, BSpline3, DDimI1, DDimI2, DDimI3, BcLower1, BcUpper1, BcLower2, BcUpper2, BcLower3, BcUpper3, Solver >::continuous_dimension_type3 = typename builder_type_2_3::continuous_dimension_type2 |
The type of the third interpolation continuous dimension.
Definition at line 77 of file spline_builder_3d.hpp.
| using ddc::SplineBuilder3D< ExecSpace, MemorySpace, BSpline1, BSpline2, BSpline3, DDimI1, DDimI2, DDimI3, BcLower1, BcUpper1, BcLower2, BcUpper2, BcLower3, BcUpper3, Solver >::interpolation_discrete_dimension_type1 = typename builder_type1::interpolation_discrete_dimension_type |
The type of the first interpolation discrete dimension.
Definition at line 80 of file spline_builder_3d.hpp.
| using ddc::SplineBuilder3D< ExecSpace, MemorySpace, BSpline1, BSpline2, BSpline3, DDimI1, DDimI2, DDimI3, BcLower1, BcUpper1, BcLower2, BcUpper2, BcLower3, BcUpper3, Solver >::interpolation_discrete_dimension_type2 = typename builder_type_2_3::interpolation_discrete_dimension_type1 |
The type of the second interpolation discrete dimension.
Definition at line 84 of file spline_builder_3d.hpp.
| using ddc::SplineBuilder3D< ExecSpace, MemorySpace, BSpline1, BSpline2, BSpline3, DDimI1, DDimI2, DDimI3, BcLower1, BcUpper1, BcLower2, BcUpper2, BcLower3, BcUpper3, Solver >::interpolation_discrete_dimension_type3 = typename builder_type_2_3::interpolation_discrete_dimension_type2 |
The type of the third interpolation discrete dimension.
Definition at line 88 of file spline_builder_3d.hpp.
| using ddc::SplineBuilder3D< ExecSpace, MemorySpace, BSpline1, BSpline2, BSpline3, DDimI1, DDimI2, DDimI3, BcLower1, BcUpper1, BcLower2, BcUpper2, BcLower3, BcUpper3, Solver >::bsplines_type1 = typename builder_type1::bsplines_type |
The type of the B-splines in the first dimension.
Definition at line 92 of file spline_builder_3d.hpp.
| using ddc::SplineBuilder3D< ExecSpace, MemorySpace, BSpline1, BSpline2, BSpline3, DDimI1, DDimI2, DDimI3, BcLower1, BcUpper1, BcLower2, BcUpper2, BcLower3, BcUpper3, Solver >::bsplines_type2 = typename builder_type_2_3::bsplines_type1 |
The type of the B-splines in the second dimension.
Definition at line 95 of file spline_builder_3d.hpp.
| using ddc::SplineBuilder3D< ExecSpace, MemorySpace, BSpline1, BSpline2, BSpline3, DDimI1, DDimI2, DDimI3, BcLower1, BcUpper1, BcLower2, BcUpper2, BcLower3, BcUpper3, Solver >::bsplines_type3 = typename builder_type_2_3::bsplines_type2 |
The type of the B-splines in the third dimension.
Definition at line 98 of file spline_builder_3d.hpp.
| using ddc::SplineBuilder3D< ExecSpace, MemorySpace, BSpline1, BSpline2, BSpline3, DDimI1, DDimI2, DDimI3, BcLower1, BcUpper1, BcLower2, BcUpper2, BcLower3, BcUpper3, Solver >::deriv_type1 = typename builder_type1::deriv_type |
The type of the Deriv domain on boundaries in the first dimension.
Definition at line 101 of file spline_builder_3d.hpp.
| using ddc::SplineBuilder3D< ExecSpace, MemorySpace, BSpline1, BSpline2, BSpline3, DDimI1, DDimI2, DDimI3, BcLower1, BcUpper1, BcLower2, BcUpper2, BcLower3, BcUpper3, Solver >::deriv_type2 = typename builder_type_2_3::deriv_type1 |
The type of the Deriv domain on boundaries in the second dimension.
Definition at line 104 of file spline_builder_3d.hpp.
| using ddc::SplineBuilder3D< ExecSpace, MemorySpace, BSpline1, BSpline2, BSpline3, DDimI1, DDimI2, DDimI3, BcLower1, BcUpper1, BcLower2, BcUpper2, BcLower3, BcUpper3, Solver >::deriv_type3 = typename builder_type_2_3::deriv_type2 |
The type of the Deriv domain on boundaries in the third dimension.
Definition at line 107 of file spline_builder_3d.hpp.
| using ddc::SplineBuilder3D< ExecSpace, MemorySpace, BSpline1, BSpline2, BSpline3, DDimI1, DDimI2, DDimI3, BcLower1, BcUpper1, BcLower2, BcUpper2, BcLower3, BcUpper3, Solver >::interpolation_domain_type1 = typename builder_type1::interpolation_discrete_dimension_type |
The type of the domain for the interpolation mesh in the first dimension.
Definition at line 110 of file spline_builder_3d.hpp.
| using ddc::SplineBuilder3D< ExecSpace, MemorySpace, BSpline1, BSpline2, BSpline3, DDimI1, DDimI2, DDimI3, BcLower1, BcUpper1, BcLower2, BcUpper2, BcLower3, BcUpper3, Solver >::interpolation_domain_type2 = typename builder_type_2_3::interpolation_discrete_dimension_type1 |
The type of the domain for the interpolation mesh in the second dimension.
Definition at line 114 of file spline_builder_3d.hpp.
| using ddc::SplineBuilder3D< ExecSpace, MemorySpace, BSpline1, BSpline2, BSpline3, DDimI1, DDimI2, DDimI3, BcLower1, BcUpper1, BcLower2, BcUpper2, BcLower3, BcUpper3, Solver >::interpolation_domain_type3 = typename builder_type_2_3::interpolation_discrete_dimension_type2 |
The type of the domain for the interpolation mesh in the third dimension.
Definition at line 118 of file spline_builder_3d.hpp.
| using ddc::SplineBuilder3D< ExecSpace, MemorySpace, BSpline1, BSpline2, BSpline3, DDimI1, DDimI2, DDimI3, BcLower1, BcUpper1, BcLower2, BcUpper2, BcLower3, BcUpper3, Solver >::interpolation_domain_type = ddc::DiscreteDomain< interpolation_discrete_dimension_type1, interpolation_discrete_dimension_type2, interpolation_discrete_dimension_type3> |
The type of the domain for the interpolation mesh in the 3D dimension.
Definition at line 122 of file spline_builder_3d.hpp.
| using ddc::SplineBuilder3D< ExecSpace, MemorySpace, BSpline1, BSpline2, BSpline3, DDimI1, DDimI2, DDimI3, BcLower1, BcUpper1, BcLower2, BcUpper2, BcLower3, BcUpper3, Solver >::batched_interpolation_domain_type = BatchedInterpolationDDom |
The type of the whole domain representing interpolation points.
| The | batched discrete domain on which the interpolation points are defined. |
Definition at line 135 of file spline_builder_3d.hpp.
The type of the batch domain (obtained by removing the dimensions of interest from the whole domain).
| The | batched discrete domain on which the interpolation points are defined. |
Example: For batched_interpolation_domain_type = DiscreteDomain<X,Y,Z,T> and dimensions of interest X, Y and Z, this is DiscreteDomain<T>.
Definition at line 149 of file spline_builder_3d.hpp.
| using ddc::SplineBuilder3D< ExecSpace, MemorySpace, BSpline1, BSpline2, BSpline3, DDimI1, DDimI2, DDimI3, BcLower1, BcUpper1, BcLower2, BcUpper2, BcLower3, BcUpper3, Solver >::batched_spline_domain_type = ddc::detail::convert_type_seq_to_discrete_domain_t<ddc::type_seq_replace_t< ddc::to_type_seq_t<BatchedInterpolationDDom>, ddc::detail::TypeSeq< interpolation_discrete_dimension_type1, interpolation_discrete_dimension_type2, interpolation_discrete_dimension_type3>, ddc::detail::TypeSeq<bsplines_type1, bsplines_type2, bsplines_type3> >> |
The type of the whole spline domain (cartesian product of 3D spline domain and batch domain) preserving the order of dimensions.
| The | batched discrete domain on which the interpolation points are defined. |
Example: For batched_interpolation_domain_type = DiscreteDomain<X,Y,Z,T> and dimensions of interest X, Y and Z (associated to B-splines tags BSplinesX, BSplinesY and BSplinesZ), this is DiscreteDomain<BSplinesX, BSplinesY, BSplinesZ, T>
Definition at line 167 of file spline_builder_3d.hpp.
| using ddc::SplineBuilder3D< ExecSpace, MemorySpace, BSpline1, BSpline2, BSpline3, DDimI1, DDimI2, DDimI3, BcLower1, BcUpper1, BcLower2, BcUpper2, BcLower3, BcUpper3, Solver >::batched_derivs_domain_type1 = ddc::replace_dim_of_t< BatchedInterpolationDDom, interpolation_discrete_dimension_type1, deriv_type1> |
The type of the whole Derivs domain (cartesian product of the 1D Deriv domain and the associated batch domain) in the first dimension, preserving the order of dimensions.
| The | batched discrete domain on which the interpolation points are defined. |
Example: For batched_interpolation_domain_type = DiscreteDomain<X,Y,Z,T> and dimensions of interest X, Y and Z, this is DiscreteDomain<Deriv<X>, Y, Z, T>.
Definition at line 188 of file spline_builder_3d.hpp.
| using ddc::SplineBuilder3D< ExecSpace, MemorySpace, BSpline1, BSpline2, BSpline3, DDimI1, DDimI2, DDimI3, BcLower1, BcUpper1, BcLower2, BcUpper2, BcLower3, BcUpper3, Solver >::batched_derivs_domain_type2 = ddc::replace_dim_of_t< BatchedInterpolationDDom, interpolation_discrete_dimension_type2, deriv_type2> |
The type of the whole Derivs domain (cartesian product of the 1D Deriv domain and the associated batch domain) in the second dimension, preserving the order of dimensions.
| The | batched discrete domain on which the interpolation points are defined. |
Example: For batched_interpolation_domain_type = DiscreteDomain<X,Y,Z,T> and dimensions of interest X, Y, and Z this is DiscreteDomain<X, Deriv<Y>, Z, T>.
Definition at line 205 of file spline_builder_3d.hpp.
| using ddc::SplineBuilder3D< ExecSpace, MemorySpace, BSpline1, BSpline2, BSpline3, DDimI1, DDimI2, DDimI3, BcLower1, BcUpper1, BcLower2, BcUpper2, BcLower3, BcUpper3, Solver >::batched_derivs_domain_type3 = ddc::replace_dim_of_t< BatchedInterpolationDDom, interpolation_discrete_dimension_type3, deriv_type3> |
The type of the whole Derivs domain (cartesian product of the 1D Deriv domain and the associated batch domain) in the third dimension, preserving the order of dimensions.
| The | batched discrete domain on which the interpolation points are defined. |
Example: For batched_interpolation_domain_type = DiscreteDomain<X,Y,Z,T> and dimensions of interest X, Y, and Z this is DiscreteDomain<X, Y, Deriv<Z>, T>.
Definition at line 222 of file spline_builder_3d.hpp.
| using ddc::SplineBuilder3D< ExecSpace, MemorySpace, BSpline1, BSpline2, BSpline3, DDimI1, DDimI2, DDimI3, BcLower1, BcUpper1, BcLower2, BcUpper2, BcLower3, BcUpper3, Solver >::batched_derivs_domain_type1_2 = ddc::replace_dim_of_t< ddc::replace_dim_of_t< BatchedInterpolationDDom, interpolation_discrete_dimension_type1, deriv_type1>, interpolation_domain_type2, deriv_type2> |
The type of the whole Derivs domain (cartesian product of the 2D Deriv domain and the associated batch domain) in the first and second dimensions, preserving the order of dimensions.
| The | batched discrete domain on which the interpolation points are defined. |
Example: For batched_interpolation_domain_type = DiscreteDomain<X,Y,Z,T> and dimensions of interest X, Y and Z, this is DiscreteDomain<Deriv<X>, Deriv<Y>, Z, T>.
Definition at line 240 of file spline_builder_3d.hpp.
| using ddc::SplineBuilder3D< ExecSpace, MemorySpace, BSpline1, BSpline2, BSpline3, DDimI1, DDimI2, DDimI3, BcLower1, BcUpper1, BcLower2, BcUpper2, BcLower3, BcUpper3, Solver >::batched_derivs_domain_type2_3 = ddc::replace_dim_of_t< ddc::replace_dim_of_t< BatchedInterpolationDDom, interpolation_discrete_dimension_type2, deriv_type2>, interpolation_domain_type3, deriv_type3> |
The type of the whole Derivs domain (cartesian product of the 2D Deriv domain and the associated batch domain) in the second and third dimensions, preserving the order of dimensions.
| The | batched discrete domain on which the interpolation points are defined. |
Example: For batched_interpolation_domain_type = DiscreteDomain<X,Y,Z,T> and dimensions of interest X, Y, and Z this is DiscreteDomain<X, Deriv<Y>, Deriv<Z>, T>.
Definition at line 261 of file spline_builder_3d.hpp.
| using ddc::SplineBuilder3D< ExecSpace, MemorySpace, BSpline1, BSpline2, BSpline3, DDimI1, DDimI2, DDimI3, BcLower1, BcUpper1, BcLower2, BcUpper2, BcLower3, BcUpper3, Solver >::batched_derivs_domain_type1_3 = ddc::replace_dim_of_t< ddc::replace_dim_of_t< BatchedInterpolationDDom, interpolation_discrete_dimension_type1, deriv_type1>, interpolation_domain_type3, deriv_type3> |
The type of the whole Derivs domain (cartesian product of the 2D Deriv domain and the associated batch domain) in the first and third dimensions, preserving the order of dimensions.
| The | batched discrete domain on which the interpolation points are defined. |
Example: For batched_interpolation_domain_type = DiscreteDomain<X,Y,Z,T> and dimensions of interest X, Y, and Z this is DiscreteDomain<Deriv<X>, Y, Deriv<Z>, T>.
Definition at line 282 of file spline_builder_3d.hpp.
| using ddc::SplineBuilder3D< ExecSpace, MemorySpace, BSpline1, BSpline2, BSpline3, DDimI1, DDimI2, DDimI3, BcLower1, BcUpper1, BcLower2, BcUpper2, BcLower3, BcUpper3, Solver >::batched_derivs_domain_type = ddc::detail::convert_type_seq_to_discrete_domain_t<ddc::type_seq_replace_t< ddc::to_type_seq_t<BatchedInterpolationDDom>, ddc::detail::TypeSeq< interpolation_discrete_dimension_type1, interpolation_discrete_dimension_type2, interpolation_discrete_dimension_type3>, ddc::detail::TypeSeq<deriv_type1, deriv_type2, deriv_type3> >> |
The type of the whole Derivs domain (cartesian product of the 3D Deriv domain and the batch domain), preserving the order of dimensions.
| The | batched discrete domain on which the interpolation points are defined. |
Example: For batched_interpolation_domain_type = DiscreteDomain<X,Y,Z,T> and dimensions of interest X, Y and Z, this is DiscreteDomain<Deriv<X>, Deriv<Y>, Deriv<Z>, T>.
Definition at line 302 of file spline_builder_3d.hpp.
|
inlineexplicit |
Build a SplineBuilder3D acting on interpolation_domain.
| interpolation_domain | The domain on which the interpolation points are defined, without the batch dimensions. |
| cols_per_chunk | A parameter used by the slicer (internal to the solver) to define the size of a chunk of right-hand-sides of the linear problem to be computed in parallel (chunks are treated by the linear solver one-after-the-other). This value is optional. If no value is provided then the default value is chosen by the requested solver. |
| preconditioner_max_block_size | A parameter used by the slicer (internal to the solver) to define the size of a block used by the Block-Jacobi preconditioner. This value is optional. If no value is provided then the default value is chosen by the requested solver. |
Definition at line 332 of file spline_builder_3d.hpp.
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inlineexplicit |
Build a SplineBuilder3D acting on the interpolation domain contained in batched_interpolation_domain.
| batched_interpolation_domain | The domain on which the interpolation points are defined. |
| cols_per_chunk | A parameter used by the slicer (internal to the solver) to define the size of a chunk of right-hand-sides of the linear problem to be computed in parallel (chunks are treated by the linear solver one-after-the-other). This value is optional. If no value is provided then the default value is chosen by the requested solver. |
| preconditioner_max_block_size | A parameter used by the slicer (internal to the solver) to define the size of a block used by the Block-Jacobi preconditioner. This value is optional. If no value is provided then the default value is chosen by the requested solver. |
Definition at line 360 of file spline_builder_3d.hpp.
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delete |
Copy-constructor is deleted.
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default |
Move-constructs.
| x | An rvalue to another SplineBuilder3D. |
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default |
Destructs.
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delete |
Copy-assignment is deleted.
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default |
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inlinenoexcept |
Get the domain for the 3D interpolation mesh used by this class.
This is 3D because it is defined along the dimensions of interest.
Definition at line 401 of file spline_builder_3d.hpp.
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inlinenoexcept |
Get the whole domain representing interpolation points.
Values of the function must be provided on this domain in order to build a spline representation of the function (cartesian product of 3D interpolation_domain and batch_domain).
| batched_interpolation_domain | The whole domain on which the interpolation points are defined. |
Definition at line 424 of file spline_builder_3d.hpp.
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inlinenoexcept |
Get the batch domain.
Obtained by removing the dimensions of interest from the whole interpolation domain.
| batched_interpolation_domain | The whole domain on which the interpolation points are defined. |
Definition at line 443 of file spline_builder_3d.hpp.
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inlinenoexcept |
Get the 3D domain on which spline coefficients are defined.
The 3D spline domain corresponding to the dimensions of interest.
Definition at line 457 of file spline_builder_3d.hpp.
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inlinenoexcept |
Get the whole domain on which spline coefficients are defined.
Spline approximations (spline-transformed functions) are computed on this domain.
| batched_interpolation_domain | The whole domain on which the interpolation points are defined. |
Definition at line 478 of file spline_builder_3d.hpp.
Compute a 3D spline approximation of a function.
Use the values of a function (defined on SplineBuilder3D::batched_interpolation_domain) and the derivatives of the function at the boundaries (in the case of BoundCond::HERMITE only) to calculate a 3D spline approximation of this function.
The spline approximation is stored as a ChunkSpan of coefficients associated with B-splines.
| [out] | spline | The coefficients of the spline computed by this SplineBuilder. |
| [in] | vals | The values of the function at the interpolation mesh. |
| [in] | derivs_min1 | The values of the derivatives at the lower boundary in the first dimension. |
| [in] | derivs_max1 | The values of the derivatives at the upper boundary in the first dimension. |
| [in] | derivs_min2 | The values of the derivatives at the lower boundary in the second dimension. |
| [in] | derivs_max2 | The values of the derivatives at the upper boundary in the second dimension. |
| [in] | derivs_min3 | The values of the derivatives at the lower boundary in the third dimension. |
| [in] | derivs_max3 | The values of the derivatives at the upper boundary in the third dimension. |
| [in] | mixed_derivs_min1_min2 | The values of the the cross-derivatives at the lower boundary in the first dimension and the lower boundary in the second dimension. |
| [in] | mixed_derivs_max1_min2 | The values of the the cross-derivatives at the upper boundary in the first dimension and the lower boundary in the second dimension. |
| [in] | mixed_derivs_min1_max2 | The values of the the cross-derivatives at the lower boundary in the first dimension and the upper boundary in the second dimension. |
| [in] | mixed_derivs_max1_max2 | The values of the the cross-derivatives at the upper boundary in the first dimension and the upper boundary in the second dimension. |
| [in] | mixed_derivs_min2_min3 | The values of the the cross-derivatives at the lower boundary in the second dimension and the lower boundary in the third dimension. |
| [in] | mixed_derivs_max2_min3 | The values of the the cross-derivatives at the upper boundary in the second dimension and the lower boundary in the third dimension. |
| [in] | mixed_derivs_min2_max3 | The values of the the cross-derivatives at the lower boundary in the second dimension and the upper boundary in the third dimension. |
| [in] | mixed_derivs_max2_max3 | The values of the the cross-derivatives at the upper boundary in the second dimension and the upper boundary in the third dimension. |
| [in] | mixed_derivs_min1_min3 | The values of the the cross-derivatives at the lower boundary in the first dimension and the lower boundary in the third dimension. |
| [in] | mixed_derivs_max1_min3 | The values of the the cross-derivatives at the upper boundary in the first dimension and the lower boundary in the third dimension. |
| [in] | mixed_derivs_min1_max3 | The values of the the cross-derivatives at the lower boundary in the first dimension and the upper boundary in the third dimension. |
| [in] | mixed_derivs_max1_max3 | The values of the the cross-derivatives at the upper boundary in the first dimension and the upper boundary in the third dimension. |
| [in] | mixed_derivs_min1_min2_min3 | The values of the the cross-derivatives at the lower boundary in the first dimension, the lower boundary in the second dimension and the lower boundary in the third dimension. |
| [in] | mixed_derivs_max1_min2_min3 | The values of the the cross-derivatives at the upper boundary in the first dimension, the lower boundary in the second dimension and the lower boundary in the third dimension. |
| [in] | mixed_derivs_min1_max2_min3 | The values of the the cross-derivatives at the lower boundary in the first dimension, the upper boundary in the second dimension and the lower boundary in the third dimension. |
| [in] | mixed_derivs_max1_max2_min3 | The values of the the cross-derivatives at the upper boundary in the first dimension, the upper boundary in the second dimension and the lower boundary in the third dimension. |
| [in] | mixed_derivs_min1_min2_max3 | The values of the the cross-derivatives at the lower boundary in the first dimension, the lower boundary in the second dimension and the upper boundary in the third dimension. |
| [in] | mixed_derivs_max1_min2_max3 | The values of the the cross-derivatives at the upper boundary in the first dimension, the lower boundary in the second dimension and the upper boundary in the third dimension. |
| [in] | mixed_derivs_min1_max2_max3 | The values of the the cross-derivatives at the lower boundary in the first dimension, the upper boundary in the second dimension and the upper boundary in the third dimension. |
| [in] | mixed_derivs_max1_max2_max3 | The values of the the cross-derivatives at the upper boundary in the first dimension, the upper boundary in the second dimension and the upper boundary in the third dimension. |
Definition at line 758 of file spline_builder_3d.hpp.