A class for creating a 2D spline approximation of a function. More...

#include <spline_builder_2d.hpp>

Collaboration diagram for ddc::SplineBuilder2D< ExecSpace, MemorySpace, BSpline1, BSpline2, DDimI1, DDimI2, BcLower1, BcUpper1, BcLower2, BcUpper2, Solver >:

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_type2 = ddc::SplineBuilder< ExecSpace, MemorySpace, BSpline2, DDimI2, BcLower2, BcUpper2, Solver >
	The type of the SplineBuilder used by this class to spline-approximate along second dimension.

using	builder_deriv_type1 = ddc::SplineBuilder< ExecSpace, MemorySpace, BSpline1, DDimI1, BcLower1, BcUpper1, Solver >
	The type of the SplineBuilder used by this class to spline-approximate the second-dimension-derivatives along first dimension.

using	continuous_dimension_type1 = typename builder_type1::continuous_dimension_type
	The type of the first interpolation continuous dimension.

using	continuous_dimension_type2 = typename builder_type2::continuous_dimension_type
	The type of the second 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_type2::interpolation_discrete_dimension_type
	The type of the second 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_type2::bsplines_type
	The type of the B-splines in the second 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_type2::deriv_type
	The type of the Deriv domain on boundaries in the second 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_type2::interpolation_discrete_dimension_type
	The type of the domain for the interpolation mesh in the second dimension.

using	interpolation_domain_type = ddc::DiscreteDomain< interpolation_discrete_dimension_type1, interpolation_discrete_dimension_type2 >
	The type of the domain for the interpolation mesh in the 2D 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 >
	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 >, ddc::detail::TypeSeq< bsplines_type1, bsplines_type2 > > >
	The type of the whole spline domain (cartesian product of 2D 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 = typename builder_type1::template batched_derivs_domain_type< BatchedInterpolationDDom >
	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_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 >, ddc::detail::TypeSeq< deriv_type1, deriv_type2 > > >
	The type of the whole Derivs domain (cartesian product of the 2D Deriv domain and the batch domain) in the second dimension, preserving the order of dimensions.

Public Member Functions
	SplineBuilder2D (interpolation_domain_type const &interpolation_domain, std::optional< std::size_t > cols_per_chunk=std::nullopt, std::optional< unsigned int > preconditioner_max_block_size=std::nullopt)
	Build a SplineBuilder2D acting on interpolation_domain.

template<class BatchedInterpolationDDom , class = std::enable_if_t<ddc::is_discrete_domain_v<BatchedInterpolationDDom>>>
	SplineBuilder2D (BatchedInterpolationDDom const &batched_interpolation_domain, std::optional< std::size_t > cols_per_chunk=std::nullopt, std::optional< unsigned int > preconditioner_max_block_size=std::nullopt)
	Build a SplineBuilder2D acting on the interpolation domain contained in batched_interpolation_domain.

	SplineBuilder2D (SplineBuilder2D const &x)=delete
	Copy-constructor is deleted.

	SplineBuilder2D (SplineBuilder2D &&x)=default
	Move-constructs.

	~SplineBuilder2D ()=default
	Destructs.

SplineBuilder2D &	operator= (SplineBuilder2D const &x)=delete
	Copy-assignment is deleted.

SplineBuilder2D &	operator= (SplineBuilder2D &&x)=default
	Move-assigns.

interpolation_domain_type	interpolation_domain () const noexcept
	Get the domain for the 2D interpolation mesh used by this class.

template<class BatchedInterpolationDDom , class = std::enable_if_t<ddc::is_discrete_domain_v<BatchedInterpolationDDom>>>
BatchedInterpolationDDom	batched_interpolation_domain (BatchedInterpolationDDom const &batched_interpolation_domain) const noexcept
	Get the whole domain representing interpolation points.

template<class BatchedInterpolationDDom , class = std::enable_if_t<ddc::is_discrete_domain_v<BatchedInterpolationDDom>>>
batch_domain_type< BatchedInterpolationDDom >	batch_domain (BatchedInterpolationDDom const &batched_interpolation_domain) const noexcept
	Get the batch domain.

ddc::DiscreteDomain< bsplines_type1, bsplines_type2 >	spline_domain () const noexcept
	Get the 2D domain on which spline coefficients are defined.

template<class BatchedInterpolationDDom , class = std::enable_if_t<ddc::is_discrete_domain_v<BatchedInterpolationDDom>>>
batched_spline_domain_type< BatchedInterpolationDDom >	batched_spline_domain (BatchedInterpolationDDom const &batched_interpolation_domain) const noexcept
	Get the whole domain on which spline coefficients are defined.

template<class Layout , class BatchedInterpolationDDom >
void	operator() (ddc::ChunkSpan< double, batched_spline_domain_type< BatchedInterpolationDDom >, Layout, memory_space > spline, ddc::ChunkSpan< double const, BatchedInterpolationDDom, Layout, memory_space > vals, std::optional< ddc::ChunkSpan< double const, batched_derivs_domain_type1< BatchedInterpolationDDom >, Layout, memory_space > > derivs_min1=std::nullopt, std::optional< ddc::ChunkSpan< double const, batched_derivs_domain_type1< BatchedInterpolationDDom >, Layout, memory_space > > derivs_max1=std::nullopt, std::optional< ddc::ChunkSpan< double const, batched_derivs_domain_type2< BatchedInterpolationDDom >, Layout, memory_space > > derivs_min2=std::nullopt, std::optional< ddc::ChunkSpan< double const, batched_derivs_domain_type2< BatchedInterpolationDDom >, Layout, memory_space > > derivs_max2=std::nullopt, std::optional< ddc::ChunkSpan< double const, batched_derivs_domain_type< BatchedInterpolationDDom >, Layout, memory_space > > mixed_derivs_min1_min2=std::nullopt, std::optional< ddc::ChunkSpan< double const, batched_derivs_domain_type< BatchedInterpolationDDom >, Layout, memory_space > > mixed_derivs_max1_min2=std::nullopt, std::optional< ddc::ChunkSpan< double const, batched_derivs_domain_type< BatchedInterpolationDDom >, Layout, memory_space > > mixed_derivs_min1_max2=std::nullopt, std::optional< ddc::ChunkSpan< double const, batched_derivs_domain_type< BatchedInterpolationDDom >, Layout, memory_space > > mixed_derivs_max1_max2=std::nullopt) const
	Compute a 2D spline approximation of a function.

Detailed Description

template<class ExecSpace, class MemorySpace, class BSpline1, class BSpline2, class DDimI1, class DDimI2, ddc::BoundCond BcLower1, ddc::BoundCond BcUpper1, ddc::BoundCond BcLower2, ddc::BoundCond BcUpper2, ddc::SplineSolver Solver>
class ddc::SplineBuilder2D< ExecSpace, MemorySpace, BSpline1, BSpline2, DDimI1, DDimI2, BcLower1, BcUpper1, BcLower2, BcUpper2, Solver >

A class for creating a 2D spline approximation of a function.

A class which contains an operator () which can be used to build a 2D spline approximation of a function. A 2D spline approximation uses a cross-product between two 1D SplineBuilder.

See also: SplineBuilder

Definition at line 38 of file spline_builder_2d.hpp.

Member Typedef Documentation

◆ exec_space

template<class ExecSpace , class MemorySpace , class BSpline1 , class BSpline2 , class DDimI1 , class DDimI2 , ddc::BoundCond BcLower1, ddc::BoundCond BcUpper1, ddc::BoundCond BcLower2, ddc::BoundCond BcUpper2, ddc::SplineSolver Solver>

using ddc::SplineBuilder2D< ExecSpace, MemorySpace, BSpline1, BSpline2, DDimI1, DDimI2, BcLower1, BcUpper1, BcLower2, BcUpper2, Solver >::exec_space = ExecSpace

The type of the Kokkos execution space used by this class.

Definition at line 42 of file spline_builder_2d.hpp.

◆ memory_space

template<class ExecSpace , class MemorySpace , class BSpline1 , class BSpline2 , class DDimI1 , class DDimI2 , ddc::BoundCond BcLower1, ddc::BoundCond BcUpper1, ddc::BoundCond BcLower2, ddc::BoundCond BcUpper2, ddc::SplineSolver Solver>

using ddc::SplineBuilder2D< ExecSpace, MemorySpace, BSpline1, BSpline2, DDimI1, DDimI2, BcLower1, BcUpper1, BcLower2, BcUpper2, Solver >::memory_space = MemorySpace

The type of the Kokkos memory space used by this class.

Definition at line 45 of file spline_builder_2d.hpp.

◆ builder_type1

template<class ExecSpace , class MemorySpace , class BSpline1 , class BSpline2 , class DDimI1 , class DDimI2 , ddc::BoundCond BcLower1, ddc::BoundCond BcUpper1, ddc::BoundCond BcLower2, ddc::BoundCond BcUpper2, ddc::SplineSolver Solver>

using ddc::SplineBuilder2D< ExecSpace, MemorySpace, BSpline1, BSpline2, DDimI1, DDimI2, BcLower1, BcUpper1, BcLower2, BcUpper2, 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 48 of file spline_builder_2d.hpp.

◆ builder_type2

template<class ExecSpace , class MemorySpace , class BSpline1 , class BSpline2 , class DDimI1 , class DDimI2 , ddc::BoundCond BcLower1, ddc::BoundCond BcUpper1, ddc::BoundCond BcLower2, ddc::BoundCond BcUpper2, ddc::SplineSolver Solver>

using ddc::SplineBuilder2D< ExecSpace, MemorySpace, BSpline1, BSpline2, DDimI1, DDimI2, BcLower1, BcUpper1, BcLower2, BcUpper2, Solver >::builder_type2 = ddc:: SplineBuilder<ExecSpace, MemorySpace, BSpline2, DDimI2, BcLower2, BcUpper2, Solver>

The type of the SplineBuilder used by this class to spline-approximate along second dimension.

Definition at line 52 of file spline_builder_2d.hpp.

◆ builder_deriv_type1

template<class ExecSpace , class MemorySpace , class BSpline1 , class BSpline2 , class DDimI1 , class DDimI2 , ddc::BoundCond BcLower1, ddc::BoundCond BcUpper1, ddc::BoundCond BcLower2, ddc::BoundCond BcUpper2, ddc::SplineSolver Solver>

using ddc::SplineBuilder2D< ExecSpace, MemorySpace, BSpline1, BSpline2, DDimI1, DDimI2, BcLower1, BcUpper1, BcLower2, BcUpper2, Solver >::builder_deriv_type1 = ddc:: SplineBuilder<ExecSpace, MemorySpace, BSpline1, DDimI1, BcLower1, BcUpper1, Solver>

The type of the SplineBuilder used by this class to spline-approximate the second-dimension-derivatives along first dimension.

Definition at line 56 of file spline_builder_2d.hpp.

◆ continuous_dimension_type1

template<class ExecSpace , class MemorySpace , class BSpline1 , class BSpline2 , class DDimI1 , class DDimI2 , ddc::BoundCond BcLower1, ddc::BoundCond BcUpper1, ddc::BoundCond BcLower2, ddc::BoundCond BcUpper2, ddc::SplineSolver Solver>

using ddc::SplineBuilder2D< ExecSpace, MemorySpace, BSpline1, BSpline2, DDimI1, DDimI2, BcLower1, BcUpper1, BcLower2, BcUpper2, Solver >::continuous_dimension_type1 = typename builder_type1::continuous_dimension_type

The type of the first interpolation continuous dimension.

Definition at line 60 of file spline_builder_2d.hpp.

◆ continuous_dimension_type2

template<class ExecSpace , class MemorySpace , class BSpline1 , class BSpline2 , class DDimI1 , class DDimI2 , ddc::BoundCond BcLower1, ddc::BoundCond BcUpper1, ddc::BoundCond BcLower2, ddc::BoundCond BcUpper2, ddc::SplineSolver Solver>

using ddc::SplineBuilder2D< ExecSpace, MemorySpace, BSpline1, BSpline2, DDimI1, DDimI2, BcLower1, BcUpper1, BcLower2, BcUpper2, Solver >::continuous_dimension_type2 = typename builder_type2::continuous_dimension_type

The type of the second interpolation continuous dimension.

Definition at line 63 of file spline_builder_2d.hpp.

◆ interpolation_discrete_dimension_type1

template<class ExecSpace , class MemorySpace , class BSpline1 , class BSpline2 , class DDimI1 , class DDimI2 , ddc::BoundCond BcLower1, ddc::BoundCond BcUpper1, ddc::BoundCond BcLower2, ddc::BoundCond BcUpper2, ddc::SplineSolver Solver>

using ddc::SplineBuilder2D< ExecSpace, MemorySpace, BSpline1, BSpline2, DDimI1, DDimI2, BcLower1, BcUpper1, BcLower2, BcUpper2, Solver >::interpolation_discrete_dimension_type1 = typename builder_type1::interpolation_discrete_dimension_type

The type of the first interpolation discrete dimension.

Definition at line 66 of file spline_builder_2d.hpp.

◆ interpolation_discrete_dimension_type2

template<class ExecSpace , class MemorySpace , class BSpline1 , class BSpline2 , class DDimI1 , class DDimI2 , ddc::BoundCond BcLower1, ddc::BoundCond BcUpper1, ddc::BoundCond BcLower2, ddc::BoundCond BcUpper2, ddc::SplineSolver Solver>

using ddc::SplineBuilder2D< ExecSpace, MemorySpace, BSpline1, BSpline2, DDimI1, DDimI2, BcLower1, BcUpper1, BcLower2, BcUpper2, Solver >::interpolation_discrete_dimension_type2 = typename builder_type2::interpolation_discrete_dimension_type

The type of the second interpolation discrete dimension.

Definition at line 70 of file spline_builder_2d.hpp.

◆ bsplines_type1

template<class ExecSpace , class MemorySpace , class BSpline1 , class BSpline2 , class DDimI1 , class DDimI2 , ddc::BoundCond BcLower1, ddc::BoundCond BcUpper1, ddc::BoundCond BcLower2, ddc::BoundCond BcUpper2, ddc::SplineSolver Solver>

using ddc::SplineBuilder2D< ExecSpace, MemorySpace, BSpline1, BSpline2, DDimI1, DDimI2, BcLower1, BcUpper1, BcLower2, BcUpper2, Solver >::bsplines_type1 = typename builder_type1::bsplines_type

The type of the B-splines in the first dimension.

Definition at line 74 of file spline_builder_2d.hpp.

◆ bsplines_type2

template<class ExecSpace , class MemorySpace , class BSpline1 , class BSpline2 , class DDimI1 , class DDimI2 , ddc::BoundCond BcLower1, ddc::BoundCond BcUpper1, ddc::BoundCond BcLower2, ddc::BoundCond BcUpper2, ddc::SplineSolver Solver>

using ddc::SplineBuilder2D< ExecSpace, MemorySpace, BSpline1, BSpline2, DDimI1, DDimI2, BcLower1, BcUpper1, BcLower2, BcUpper2, Solver >::bsplines_type2 = typename builder_type2::bsplines_type

The type of the B-splines in the second dimension.

Definition at line 77 of file spline_builder_2d.hpp.

◆ deriv_type1

template<class ExecSpace , class MemorySpace , class BSpline1 , class BSpline2 , class DDimI1 , class DDimI2 , ddc::BoundCond BcLower1, ddc::BoundCond BcUpper1, ddc::BoundCond BcLower2, ddc::BoundCond BcUpper2, ddc::SplineSolver Solver>

using ddc::SplineBuilder2D< ExecSpace, MemorySpace, BSpline1, BSpline2, DDimI1, DDimI2, BcLower1, BcUpper1, BcLower2, BcUpper2, Solver >::deriv_type1 = typename builder_type1::deriv_type

The type of the Deriv domain on boundaries in the first dimension.

Definition at line 80 of file spline_builder_2d.hpp.

◆ deriv_type2

template<class ExecSpace , class MemorySpace , class BSpline1 , class BSpline2 , class DDimI1 , class DDimI2 , ddc::BoundCond BcLower1, ddc::BoundCond BcUpper1, ddc::BoundCond BcLower2, ddc::BoundCond BcUpper2, ddc::SplineSolver Solver>

using ddc::SplineBuilder2D< ExecSpace, MemorySpace, BSpline1, BSpline2, DDimI1, DDimI2, BcLower1, BcUpper1, BcLower2, BcUpper2, Solver >::deriv_type2 = typename builder_type2::deriv_type

The type of the Deriv domain on boundaries in the second dimension.

Definition at line 83 of file spline_builder_2d.hpp.

◆ interpolation_domain_type1

template<class ExecSpace , class MemorySpace , class BSpline1 , class BSpline2 , class DDimI1 , class DDimI2 , ddc::BoundCond BcLower1, ddc::BoundCond BcUpper1, ddc::BoundCond BcLower2, ddc::BoundCond BcUpper2, ddc::SplineSolver Solver>

using ddc::SplineBuilder2D< ExecSpace, MemorySpace, BSpline1, BSpline2, DDimI1, DDimI2, BcLower1, BcUpper1, BcLower2, BcUpper2, 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 86 of file spline_builder_2d.hpp.

◆ interpolation_domain_type2

template<class ExecSpace , class MemorySpace , class BSpline1 , class BSpline2 , class DDimI1 , class DDimI2 , ddc::BoundCond BcLower1, ddc::BoundCond BcUpper1, ddc::BoundCond BcLower2, ddc::BoundCond BcUpper2, ddc::SplineSolver Solver>

using ddc::SplineBuilder2D< ExecSpace, MemorySpace, BSpline1, BSpline2, DDimI1, DDimI2, BcLower1, BcUpper1, BcLower2, BcUpper2, Solver >::interpolation_domain_type2 = typename builder_type2::interpolation_discrete_dimension_type

The type of the domain for the interpolation mesh in the second dimension.

Definition at line 90 of file spline_builder_2d.hpp.

◆ interpolation_domain_type

template<class ExecSpace , class MemorySpace , class BSpline1 , class BSpline2 , class DDimI1 , class DDimI2 , ddc::BoundCond BcLower1, ddc::BoundCond BcUpper1, ddc::BoundCond BcLower2, ddc::BoundCond BcUpper2, ddc::SplineSolver Solver>

using ddc::SplineBuilder2D< ExecSpace, MemorySpace, BSpline1, BSpline2, DDimI1, DDimI2, BcLower1, BcUpper1, BcLower2, BcUpper2, Solver >::interpolation_domain_type = ddc::DiscreteDomain< interpolation_discrete_dimension_type1, interpolation_discrete_dimension_type2>

The type of the domain for the interpolation mesh in the 2D dimension.

Definition at line 94 of file spline_builder_2d.hpp.

◆ batched_interpolation_domain_type

template<class ExecSpace , class MemorySpace , class BSpline1 , class BSpline2 , class DDimI1 , class DDimI2 , ddc::BoundCond BcLower1, ddc::BoundCond BcUpper1, ddc::BoundCond BcLower2, ddc::BoundCond BcUpper2, ddc::SplineSolver Solver>

template<class BatchedInterpolationDDom , class = std::enable_if_t<ddc::is_discrete_domain_v<BatchedInterpolationDDom>>>

using ddc::SplineBuilder2D< ExecSpace, MemorySpace, BSpline1, BSpline2, DDimI1, DDimI2, BcLower1, BcUpper1, BcLower2, BcUpper2, Solver >::batched_interpolation_domain_type = BatchedInterpolationDDom

The type of the whole domain representing interpolation points.

Template Parameters

The	batched discrete domain on which the interpolation points are defined.

Definition at line 106 of file spline_builder_2d.hpp.

◆ batch_domain_type

template<class ExecSpace , class MemorySpace , class BSpline1 , class BSpline2 , class DDimI1 , class DDimI2 , ddc::BoundCond BcLower1, ddc::BoundCond BcUpper1, ddc::BoundCond BcLower2, ddc::BoundCond BcUpper2, ddc::SplineSolver Solver>

template<class BatchedInterpolationDDom , class = std::enable_if_t<ddc::is_discrete_domain_v<BatchedInterpolationDDom>>>

using ddc::SplineBuilder2D< ExecSpace, MemorySpace, BSpline1, BSpline2, DDimI1, DDimI2, BcLower1, BcUpper1, BcLower2, BcUpper2, Solver >::batch_domain_type = ddc::remove_dims_of_t< BatchedInterpolationDDom, interpolation_discrete_dimension_type1, interpolation_discrete_dimension_type2>

The type of the batch domain (obtained by removing the dimensions of interest from the whole domain).

Template Parameters

The	batched discrete domain on which the interpolation points are defined.

Example: For batched_interpolation_domain_type = DiscreteDomain<X,Y,Z> and dimensions of interest X and Y, this is DiscreteDomain<Z>.

Definition at line 120 of file spline_builder_2d.hpp.

◆ batched_spline_domain_type

template<class ExecSpace , class MemorySpace , class BSpline1 , class BSpline2 , class DDimI1 , class DDimI2 , ddc::BoundCond BcLower1, ddc::BoundCond BcUpper1, ddc::BoundCond BcLower2, ddc::BoundCond BcUpper2, ddc::SplineSolver Solver>

template<class BatchedInterpolationDDom , class = std::enable_if_t<ddc::is_discrete_domain_v<BatchedInterpolationDDom>>>

using ddc::SplineBuilder2D< ExecSpace, MemorySpace, BSpline1, BSpline2, DDimI1, DDimI2, BcLower1, BcUpper1, BcLower2, BcUpper2, 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>, ddc::detail::TypeSeq<bsplines_type1, bsplines_type2> >>

The type of the whole spline domain (cartesian product of 2D spline domain and batch domain) preserving the order of dimensions.

Template Parameters

The	batched discrete domain on which the interpolation points are defined.

Example: For batched_interpolation_domain_type = DiscreteDomain<X,Y,Z> and dimensions of interest X and Y (associated to B-splines tags BSplinesX and BSplinesY), this is DiscreteDomain<BSplinesX, BSplinesY, Z>

Definition at line 137 of file spline_builder_2d.hpp.

◆ batched_derivs_domain_type1

template<class ExecSpace , class MemorySpace , class BSpline1 , class BSpline2 , class DDimI1 , class DDimI2 , ddc::BoundCond BcLower1, ddc::BoundCond BcUpper1, ddc::BoundCond BcLower2, ddc::BoundCond BcUpper2, ddc::SplineSolver Solver>

template<class BatchedInterpolationDDom , class = std::enable_if_t<ddc::is_discrete_domain_v<BatchedInterpolationDDom>>>

using ddc::SplineBuilder2D< ExecSpace, MemorySpace, BSpline1, BSpline2, DDimI1, DDimI2, BcLower1, BcUpper1, BcLower2, BcUpper2, Solver >::batched_derivs_domain_type1 = typename builder_type1::template batched_derivs_domain_type<BatchedInterpolationDDom>

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 Parameters

The	batched discrete domain on which the interpolation points are defined.

Example: For batched_interpolation_domain_type = DiscreteDomain<X,Y,Z> and dimensions of interest X and Y, this is DiscreteDomain<Deriv<X>, Y, Z>.

Definition at line 157 of file spline_builder_2d.hpp.

◆ batched_derivs_domain_type2

template<class ExecSpace , class MemorySpace , class BSpline1 , class BSpline2 , class DDimI1 , class DDimI2 , ddc::BoundCond BcLower1, ddc::BoundCond BcUpper1, ddc::BoundCond BcLower2, ddc::BoundCond BcUpper2, ddc::SplineSolver Solver>

template<class BatchedInterpolationDDom , class = std::enable_if_t<ddc::is_discrete_domain_v<BatchedInterpolationDDom>>>

using ddc::SplineBuilder2D< ExecSpace, MemorySpace, BSpline1, BSpline2, DDimI1, DDimI2, BcLower1, BcUpper1, BcLower2, BcUpper2, 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.

Template Parameters

The	batched discrete domain on which the interpolation points are defined.

Example: For batched_interpolation_domain_type = DiscreteDomain<X,Y,Z> and dimensions of interest X and Y, this is DiscreteDomain<X, Deriv<Y>, Z>.

Definition at line 172 of file spline_builder_2d.hpp.

◆ batched_derivs_domain_type

template<class ExecSpace , class MemorySpace , class BSpline1 , class BSpline2 , class DDimI1 , class DDimI2 , ddc::BoundCond BcLower1, ddc::BoundCond BcUpper1, ddc::BoundCond BcLower2, ddc::BoundCond BcUpper2, ddc::SplineSolver Solver>

template<class BatchedInterpolationDDom , class = std::enable_if_t<ddc::is_discrete_domain_v<BatchedInterpolationDDom>>>

using ddc::SplineBuilder2D< ExecSpace, MemorySpace, BSpline1, BSpline2, DDimI1, DDimI2, BcLower1, BcUpper1, BcLower2, BcUpper2, 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>, ddc::detail::TypeSeq<deriv_type1, deriv_type2> >>

The type of the whole Derivs domain (cartesian product of the 2D Deriv domain and the batch domain) in the second dimension, preserving the order of dimensions.

Template Parameters

The	batched discrete domain on which the interpolation points are defined.

Example: For batched_interpolation_domain_type = DiscreteDomain<X,Y,Z> and dimensions of interest X and Y, this is DiscreteDomain<Deriv<X>, Deriv<Y>, Z>.

Definition at line 189 of file spline_builder_2d.hpp.

Constructor & Destructor Documentation

◆ SplineBuilder2D() [1/4]

template<class ExecSpace , class MemorySpace , class BSpline1 , class BSpline2 , class DDimI1 , class DDimI2 , ddc::BoundCond BcLower1, ddc::BoundCond BcUpper1, ddc::BoundCond BcLower2, ddc::BoundCond BcUpper2, ddc::SplineSolver Solver>

ddc::SplineBuilder2D< ExecSpace, MemorySpace, BSpline1, BSpline2, DDimI1, DDimI2, BcLower1, BcUpper1, BcLower2, BcUpper2, Solver >::SplineBuilder2D	(	interpolation_domain_type const &	interpolation_domain,
		std::optional< std::size_t >	cols_per_chunk = `std::nullopt`,
		std::optional< unsigned int >	preconditioner_max_block_size = `std::nullopt`
	)

inlineexplicit

Build a SplineBuilder2D acting on interpolation_domain.

Parameters

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.

See also: SplinesLinearProblemSparse

Definition at line 219 of file spline_builder_2d.hpp.

◆ SplineBuilder2D() [2/4]

template<class ExecSpace , class MemorySpace , class BSpline1 , class BSpline2 , class DDimI1 , class DDimI2 , ddc::BoundCond BcLower1, ddc::BoundCond BcUpper1, ddc::BoundCond BcLower2, ddc::BoundCond BcUpper2, ddc::SplineSolver Solver>

template<class BatchedInterpolationDDom , class = std::enable_if_t<ddc::is_discrete_domain_v<BatchedInterpolationDDom>>>

ddc::SplineBuilder2D< ExecSpace, MemorySpace, BSpline1, BSpline2, DDimI1, DDimI2, BcLower1, BcUpper1, BcLower2, BcUpper2, Solver >::SplineBuilder2D	(	BatchedInterpolationDDom const &	batched_interpolation_domain,
		std::optional< std::size_t >	cols_per_chunk = `std::nullopt`,
		std::optional< unsigned int >	preconditioner_max_block_size = `std::nullopt`
	)

inlineexplicit

Build a SplineBuilder2D acting on the interpolation domain contained in batched_interpolation_domain.

Parameters

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.

See also: SplinesLinearProblemSparse

Definition at line 248 of file spline_builder_2d.hpp.

◆ SplineBuilder2D() [3/4]

template<class ExecSpace , class MemorySpace , class BSpline1 , class BSpline2 , class DDimI1 , class DDimI2 , ddc::BoundCond BcLower1, ddc::BoundCond BcUpper1, ddc::BoundCond BcLower2, ddc::BoundCond BcUpper2, ddc::SplineSolver Solver>

ddc::SplineBuilder2D< ExecSpace, MemorySpace, BSpline1, BSpline2, DDimI1, DDimI2, BcLower1, BcUpper1, BcLower2, BcUpper2, Solver >::SplineBuilder2D ( SplineBuilder2D< ExecSpace, MemorySpace, BSpline1, BSpline2, DDimI1, DDimI2, BcLower1, BcUpper1, BcLower2, BcUpper2, Solver > const & x )

delete

Copy-constructor is deleted.

◆ SplineBuilder2D() [4/4]

template<class ExecSpace , class MemorySpace , class BSpline1 , class BSpline2 , class DDimI1 , class DDimI2 , ddc::BoundCond BcLower1, ddc::BoundCond BcUpper1, ddc::BoundCond BcLower2, ddc::BoundCond BcUpper2, ddc::SplineSolver Solver>

ddc::SplineBuilder2D< ExecSpace, MemorySpace, BSpline1, BSpline2, DDimI1, DDimI2, BcLower1, BcUpper1, BcLower2, BcUpper2, Solver >::SplineBuilder2D ( SplineBuilder2D< ExecSpace, MemorySpace, BSpline1, BSpline2, DDimI1, DDimI2, BcLower1, BcUpper1, BcLower2, BcUpper2, Solver > && x )

default

Move-constructs.

Parameters

x	An rvalue to another SplineBuilder2D.

◆ ~SplineBuilder2D()

template<class ExecSpace , class MemorySpace , class BSpline1 , class BSpline2 , class DDimI1 , class DDimI2 , ddc::BoundCond BcLower1, ddc::BoundCond BcUpper1, ddc::BoundCond BcLower2, ddc::BoundCond BcUpper2, ddc::SplineSolver Solver>

ddc::SplineBuilder2D< ExecSpace, MemorySpace, BSpline1, BSpline2, DDimI1, DDimI2, BcLower1, BcUpper1, BcLower2, BcUpper2, Solver >::~SplineBuilder2D ( )

default

Destructs.

Member Function Documentation

◆ operator=() [1/2]

template<class ExecSpace , class MemorySpace , class BSpline1 , class BSpline2 , class DDimI1 , class DDimI2 , ddc::BoundCond BcLower1, ddc::BoundCond BcUpper1, ddc::BoundCond BcLower2, ddc::BoundCond BcUpper2, ddc::SplineSolver Solver>

SplineBuilder2D & ddc::SplineBuilder2D< ExecSpace, MemorySpace, BSpline1, BSpline2, DDimI1, DDimI2, BcLower1, BcUpper1, BcLower2, BcUpper2, Solver >::operator= ( SplineBuilder2D< ExecSpace, MemorySpace, BSpline1, BSpline2, DDimI1, DDimI2, BcLower1, BcUpper1, BcLower2, BcUpper2, Solver > const & x )

delete

Copy-assignment is deleted.

◆ operator=() [2/2]

template<class ExecSpace , class MemorySpace , class BSpline1 , class BSpline2 , class DDimI1 , class DDimI2 , ddc::BoundCond BcLower1, ddc::BoundCond BcUpper1, ddc::BoundCond BcLower2, ddc::BoundCond BcUpper2, ddc::SplineSolver Solver>

SplineBuilder2D & ddc::SplineBuilder2D< ExecSpace, MemorySpace, BSpline1, BSpline2, DDimI1, DDimI2, BcLower1, BcUpper1, BcLower2, BcUpper2, Solver >::operator= ( SplineBuilder2D< ExecSpace, MemorySpace, BSpline1, BSpline2, DDimI1, DDimI2, BcLower1, BcUpper1, BcLower2, BcUpper2, Solver > && x )

default

Move-assigns.

Parameters

x	An rvalue to another SplineBuilder.

Returns: A reference to this object.

◆ interpolation_domain()

template<class ExecSpace , class MemorySpace , class BSpline1 , class BSpline2 , class DDimI1 , class DDimI2 , ddc::BoundCond BcLower1, ddc::BoundCond BcUpper1, ddc::BoundCond BcLower2, ddc::BoundCond BcUpper2, ddc::SplineSolver Solver>

interpolation_domain_type ddc::SplineBuilder2D< ExecSpace, MemorySpace, BSpline1, BSpline2, DDimI1, DDimI2, BcLower1, BcUpper1, BcLower2, BcUpper2, Solver >::interpolation_domain ( ) const

inlinenoexcept

Get the domain for the 2D interpolation mesh used by this class.

This is 2D because it is defined along the dimensions of interest.

Returns: The 2D domain for the interpolation mesh.

Definition at line 289 of file spline_builder_2d.hpp.

◆ batched_interpolation_domain()

template<class ExecSpace , class MemorySpace , class BSpline1 , class BSpline2 , class DDimI1 , class DDimI2 , ddc::BoundCond BcLower1, ddc::BoundCond BcUpper1, ddc::BoundCond BcLower2, ddc::BoundCond BcUpper2, ddc::SplineSolver Solver>

template<class BatchedInterpolationDDom , class = std::enable_if_t<ddc::is_discrete_domain_v<BatchedInterpolationDDom>>>

BatchedInterpolationDDom ddc::SplineBuilder2D< ExecSpace, MemorySpace, BSpline1, BSpline2, DDimI1, DDimI2, BcLower1, BcUpper1, BcLower2, BcUpper2, Solver >::batched_interpolation_domain ( BatchedInterpolationDDom const & batched_interpolation_domain ) const

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 2D interpolation_domain and batch_domain).

Parameters

batched_interpolation_domain The whole domain on which the interpolation points are defined.

Returns: The domain for the interpolation mesh.

Definition at line 309 of file spline_builder_2d.hpp.

◆ batch_domain()

template<class ExecSpace , class MemorySpace , class BSpline1 , class BSpline2 , class DDimI1 , class DDimI2 , ddc::BoundCond BcLower1, ddc::BoundCond BcUpper1, ddc::BoundCond BcLower2, ddc::BoundCond BcUpper2, ddc::SplineSolver Solver>

template<class BatchedInterpolationDDom , class = std::enable_if_t<ddc::is_discrete_domain_v<BatchedInterpolationDDom>>>

batch_domain_type< BatchedInterpolationDDom > ddc::SplineBuilder2D< ExecSpace, MemorySpace, BSpline1, BSpline2, DDimI1, DDimI2, BcLower1, BcUpper1, BcLower2, BcUpper2, Solver >::batch_domain ( BatchedInterpolationDDom const & batched_interpolation_domain ) const

inlinenoexcept

Get the batch domain.

Obtained by removing the dimensions of interest from the whole interpolation domain.

Parameters

batched_interpolation_domain The whole domain on which the interpolation points are defined.

Returns: The batch domain.

Definition at line 328 of file spline_builder_2d.hpp.

◆ spline_domain()

template<class ExecSpace , class MemorySpace , class BSpline1 , class BSpline2 , class DDimI1 , class DDimI2 , ddc::BoundCond BcLower1, ddc::BoundCond BcUpper1, ddc::BoundCond BcLower2, ddc::BoundCond BcUpper2, ddc::SplineSolver Solver>

ddc::DiscreteDomain< bsplines_type1, bsplines_type2 > ddc::SplineBuilder2D< ExecSpace, MemorySpace, BSpline1, BSpline2, DDimI1, DDimI2, BcLower1, BcUpper1, BcLower2, BcUpper2, Solver >::spline_domain ( ) const

inlinenoexcept

Get the 2D domain on which spline coefficients are defined.

The 2D spline domain corresponding to the dimensions of interest.

Returns: The 2D domain for the spline coefficients.

Definition at line 342 of file spline_builder_2d.hpp.

◆ batched_spline_domain()

template<class ExecSpace , class MemorySpace , class BSpline1 , class BSpline2 , class DDimI1 , class DDimI2 , ddc::BoundCond BcLower1, ddc::BoundCond BcUpper1, ddc::BoundCond BcLower2, ddc::BoundCond BcUpper2, ddc::SplineSolver Solver>

template<class BatchedInterpolationDDom , class = std::enable_if_t<ddc::is_discrete_domain_v<BatchedInterpolationDDom>>>

batched_spline_domain_type< BatchedInterpolationDDom > ddc::SplineBuilder2D< ExecSpace, MemorySpace, BSpline1, BSpline2, DDimI1, DDimI2, BcLower1, BcUpper1, BcLower2, BcUpper2, Solver >::batched_spline_domain ( BatchedInterpolationDDom const & batched_interpolation_domain ) const

inlinenoexcept

Get the whole domain on which spline coefficients are defined.

Spline approximations (spline-transformed functions) are computed on this domain.

Parameters

batched_interpolation_domain The whole domain on which the interpolation points are defined.

Returns: The domain for the spline coefficients.

Definition at line 361 of file spline_builder_2d.hpp.

◆ operator()()

template<class ExecSpace , class MemorySpace , class BSpline1 , class BSpline2 , class DDimI1 , class DDimI2 , ddc::BoundCond BcLower1, ddc::BoundCond BcUpper1, ddc::BoundCond BcLower2, ddc::BoundCond BcUpper2, ddc::SplineSolver Solver>

template<class Layout , class BatchedInterpolationDDom >

void ddc::SplineBuilder2D< ExecSpace, MemorySpace, BSpline1, BSpline2, DDimI1, DDimI2, BcLower1, BcUpper1, BcLower2, BcUpper2, Solver >::operator()	(	ddc::ChunkSpan< double, batched_spline_domain_type< BatchedInterpolationDDom >, Layout, memory_space >	spline,
		ddc::ChunkSpan< double const, BatchedInterpolationDDom, Layout, memory_space >	vals,
		std::optional< ddc::ChunkSpan< double const, batched_derivs_domain_type1< BatchedInterpolationDDom >, Layout, memory_space > >	derivs_min1 = `std::nullopt`,
		std::optional< ddc::ChunkSpan< double const, batched_derivs_domain_type1< BatchedInterpolationDDom >, Layout, memory_space > >	derivs_max1 = `std::nullopt`,
		std::optional< ddc::ChunkSpan< double const, batched_derivs_domain_type2< BatchedInterpolationDDom >, Layout, memory_space > >	derivs_min2 = `std::nullopt`,
		std::optional< ddc::ChunkSpan< double const, batched_derivs_domain_type2< BatchedInterpolationDDom >, Layout, memory_space > >	derivs_max2 = `std::nullopt`,
		std::optional< ddc::ChunkSpan< double const, batched_derivs_domain_type< BatchedInterpolationDDom >, Layout, memory_space > >	mixed_derivs_min1_min2 = `std::nullopt`,
		std::optional< ddc::ChunkSpan< double const, batched_derivs_domain_type< BatchedInterpolationDDom >, Layout, memory_space > >	mixed_derivs_max1_min2 = `std::nullopt`,
		std::optional< ddc::ChunkSpan< double const, batched_derivs_domain_type< BatchedInterpolationDDom >, Layout, memory_space > >	mixed_derivs_min1_max2 = `std::nullopt`,
		std::optional< ddc::ChunkSpan< double const, batched_derivs_domain_type< BatchedInterpolationDDom >, Layout, memory_space > >	mixed_derivs_max1_max2 = `std::nullopt`
	)		const

Compute a 2D spline approximation of a function.

Use the values of a function (defined on SplineBuilder2D::batched_interpolation_domain) and the derivatives of the function at the boundaries (in the case of BoundCond::HERMITE only) to calculate a 2D spline approximation of this function.

The spline approximation is stored as a ChunkSpan of coefficients associated with B-splines.

Parameters

[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]	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.

Definition at line 491 of file spline_builder_2d.hpp.

The documentation for this class was generated from the following file:

spline_builder_2d.hpp

Public Types

Public Member Functions

Detailed Description

Member Typedef Documentation

◆ exec_space

◆ memory_space

◆ builder_type1

◆ builder_type2

◆ builder_deriv_type1

◆ continuous_dimension_type1

◆ continuous_dimension_type2

◆ interpolation_discrete_dimension_type1

◆ interpolation_discrete_dimension_type2

◆ bsplines_type1

◆ bsplines_type2

◆ deriv_type1

◆ deriv_type2

◆ interpolation_domain_type1

◆ interpolation_domain_type2

◆ interpolation_domain_type

◆ batched_interpolation_domain_type

◆ batch_domain_type

◆ batched_spline_domain_type

◆ batched_derivs_domain_type1

◆ batched_derivs_domain_type2

◆ batched_derivs_domain_type

Constructor & Destructor Documentation

◆ SplineBuilder2D() [1/4]

◆ SplineBuilder2D() [2/4]

◆ SplineBuilder2D() [3/4]

◆ SplineBuilder2D() [4/4]

◆ ~SplineBuilder2D()

Member Function Documentation

◆ operator=() [1/2]

◆ operator=() [2/2]

◆ interpolation_domain()

◆ batched_interpolation_domain()

◆ batch_domain()

◆ spline_domain()

◆ batched_spline_domain()

◆ operator()()