A class to evaluate, differentiate or integrate a 3D spline function. More...

#include <spline_evaluator_3d.hpp>

Collaboration diagram for ddc::SplineEvaluator3D< ExecSpace, MemorySpace, BSplines1, BSplines2, BSplines3, EvaluationDDim1, EvaluationDDim2, EvaluationDDim3, LowerExtrapolationRule1, UpperExtrapolationRule1, LowerExtrapolationRule2, UpperExtrapolationRule2, LowerExtrapolationRule3, UpperExtrapolationRule3 >:

Public Types
using	continuous_dimension_type1 = typename BSplines1::continuous_dimension_type
	The type of the first evaluation continuous dimension used by this class.

using	continuous_dimension_type2 = typename BSplines2::continuous_dimension_type
	The type of the second evaluation continuous dimension used by this class.

using	continuous_dimension_type3 = typename BSplines3::continuous_dimension_type
	The type of the third evaluation continuous dimension used by this class.

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	evaluation_discrete_dimension_type1 = EvaluationDDim1
	The type of the first discrete dimension of interest used by this class.

using	evaluation_discrete_dimension_type2 = EvaluationDDim2
	The type of the second discrete dimension of interest used by this class.

using	evaluation_discrete_dimension_type3 = EvaluationDDim3
	The type of the third discrete dimension of interest used by this class.

using	bsplines_type1 = BSplines1
	The discrete dimension representing the B-splines along first dimension.

using	bsplines_type2 = BSplines2
	The discrete dimension representing the B-splines along second dimension.

using	bsplines_type3 = BSplines3
	The discrete dimension representing the B-splines along third dimension.

using	evaluation_domain_type1 = ddc::DiscreteDomain< evaluation_discrete_dimension_type1 >
	The type of the domain for the 1D evaluation mesh along first dimension used by this class.

using	evaluation_domain_type2 = ddc::DiscreteDomain< evaluation_discrete_dimension_type2 >
	The type of the domain for the 1D evaluation mesh along second dimension used by this class.

using	evaluation_domain_type3 = ddc::DiscreteDomain< evaluation_discrete_dimension_type3 >
	The type of the domain for the 1D evaluation mesh along third dimension used by this class.

using	evaluation_domain_type = ddc::DiscreteDomain< evaluation_discrete_dimension_type1, evaluation_discrete_dimension_type2, evaluation_discrete_dimension_type3 >
	The type of the domain for the 3D evaluation mesh used by this class.

template<class BatchedInterpolationDDom , class = std::enable_if_t<ddc::is_discrete_domain_v<BatchedInterpolationDDom>>>
using	batched_evaluation_domain_type = BatchedInterpolationDDom
	The type of the whole domain representing evaluation points.

using	spline_domain_type1 = ddc::DiscreteDomain< bsplines_type1 >
	The type of the 1D spline domain corresponding to the first dimension of interest.

using	spline_domain_type2 = ddc::DiscreteDomain< bsplines_type2 >
	The type of the 1D spline domain corresponding to the second dimension of interest.

using	spline_domain_type3 = ddc::DiscreteDomain< bsplines_type3 >
	The type of the 1D spline domain corresponding to the third dimension of interest.

using	spline_domain_type = ddc::DiscreteDomain< bsplines_type1, bsplines_type2, bsplines_type3 >
	The type of the 3D spline domain corresponding to the dimensions of interest.

template<class BatchedInterpolationDDom , class = std::enable_if_t<ddc::is_discrete_domain_v<BatchedInterpolationDDom>>>
using	batch_domain_type = typename ddc::remove_dims_of_t< BatchedInterpolationDDom, evaluation_discrete_dimension_type1, evaluation_discrete_dimension_type2, evaluation_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 = typename ddc::detail::convert_type_seq_to_discrete_domain_t< ddc::type_seq_replace_t< ddc::to_type_seq_t< BatchedInterpolationDDom >, ddc::detail::TypeSeq< evaluation_discrete_dimension_type1, evaluation_discrete_dimension_type2, evaluation_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 underlying memory layout (order of dimensions).

using	lower_extrapolation_rule_1_type = LowerExtrapolationRule1
	The type of the extrapolation rule at the lower boundary along the first dimension.

using	upper_extrapolation_rule_1_type = UpperExtrapolationRule1
	The type of the extrapolation rule at the upper boundary along the first dimension.

using	lower_extrapolation_rule_2_type = LowerExtrapolationRule2
	The type of the extrapolation rule at the lower boundary along the second dimension.

using	upper_extrapolation_rule_2_type = UpperExtrapolationRule2
	The type of the extrapolation rule at the upper boundary along the second dimension.

using	lower_extrapolation_rule_3_type = LowerExtrapolationRule3
	The type of the extrapolation rule at the lower boundary along the third dimension.

using	upper_extrapolation_rule_3_type = UpperExtrapolationRule3
	The type of the extrapolation rule at the upper boundary along the third dimension.

Public Member Functions
	SplineEvaluator3D (LowerExtrapolationRule1 const &lower_extrap_rule1, UpperExtrapolationRule1 const &upper_extrap_rule1, LowerExtrapolationRule2 const &lower_extrap_rule2, UpperExtrapolationRule2 const &upper_extrap_rule2, LowerExtrapolationRule3 const &lower_extrap_rule3, UpperExtrapolationRule3 const &upper_extrap_rule3)
	Build a SplineEvaluator3D acting on batched_spline_domain.

	SplineEvaluator3D (SplineEvaluator3D const &x)=default
	Copy-constructs.

	SplineEvaluator3D (SplineEvaluator3D &&x)=default
	Move-constructs.

	~SplineEvaluator3D ()=default
	Destructs.

SplineEvaluator3D &	operator= (SplineEvaluator3D const &x)=default
	Copy-assigns.

SplineEvaluator3D &	operator= (SplineEvaluator3D &&x)=default
	Move-assigns.

lower_extrapolation_rule_1_type	lower_extrapolation_rule_dim_1 () const
	Get the lower extrapolation rule along the first dimension.

upper_extrapolation_rule_1_type	upper_extrapolation_rule_dim_1 () const
	Get the upper extrapolation rule along the first dimension.

lower_extrapolation_rule_2_type	lower_extrapolation_rule_dim_2 () const
	Get the lower extrapolation rule along the second dimension.

upper_extrapolation_rule_2_type	upper_extrapolation_rule_dim_2 () const
	Get the upper extrapolation rule along the second dimension.

lower_extrapolation_rule_3_type	lower_extrapolation_rule_dim_3 () const
	Get the lower extrapolation rule along the third dimension.

upper_extrapolation_rule_3_type	upper_extrapolation_rule_dim_3 () const
	Get the upper extrapolation rule along the third dimension.

template<class Layout , class... CoordsDims>
KOKKOS_FUNCTION double	operator() (ddc::Coordinate< CoordsDims... > const &coord_eval, ddc::ChunkSpan< double const, spline_domain_type, Layout, memory_space > const spline_coef) const
	Evaluate 3D spline function (described by its spline coefficients) at a given coordinate.

template<class Layout1 , class Layout2 , class Layout3 , class BatchedInterpolationDDom , class... CoordsDims>
void	operator() (ddc::ChunkSpan< double, BatchedInterpolationDDom, Layout1, memory_space > const spline_eval, ddc::ChunkSpan< ddc::Coordinate< CoordsDims... > const, BatchedInterpolationDDom, Layout2, memory_space > const coords_eval, ddc::ChunkSpan< double const, batched_spline_domain_type< BatchedInterpolationDDom >, Layout3, memory_space > const spline_coef) const
	Evaluate 3D spline function (described by its spline coefficients) on a mesh.

template<class Layout1 , class Layout2 , class BatchedInterpolationDDom >
void	operator() (ddc::ChunkSpan< double, BatchedInterpolationDDom, Layout1, memory_space > const spline_eval, ddc::ChunkSpan< double const, batched_spline_domain_type< BatchedInterpolationDDom >, Layout2, memory_space > const spline_coef) const
	Evaluate 3D spline function (described by its spline coefficients) on a mesh.

template<class Layout , class... CoordsDims>
KOKKOS_FUNCTION double	deriv_dim_1 (ddc::Coordinate< CoordsDims... > const &coord_eval, ddc::ChunkSpan< double const, spline_domain_type, Layout, memory_space > const spline_coef) const
	Differentiate 3D spline function (described by its spline coefficients) at a given coordinate along first dimension of interest.

template<class Layout , class... CoordsDims>
KOKKOS_FUNCTION double	deriv_dim_2 (ddc::Coordinate< CoordsDims... > const &coord_eval, ddc::ChunkSpan< double const, spline_domain_type, Layout, memory_space > const spline_coef) const
	Differentiate 3D spline function (described by its spline coefficients) at a given coordinate along second dimension of interest.

template<class Layout , class... CoordsDims>
KOKKOS_FUNCTION double	deriv_dim_3 (ddc::Coordinate< CoordsDims... > const &coord_eval, ddc::ChunkSpan< double const, spline_domain_type, Layout, memory_space > const spline_coef) const
	Differentiate 3D spline function (described by its spline coefficients) at a given coordinate along third dimension of interest.

template<class Layout , class... CoordsDims>
KOKKOS_FUNCTION double	deriv_1_and_2 (ddc::Coordinate< CoordsDims... > const &coord_eval, ddc::ChunkSpan< double const, spline_domain_type, Layout, memory_space > const spline_coef) const
	Cross-differentiate 3D spline function (described by its spline coefficients) at a given coordinate along the first and second dimensions.

template<class Layout , class... CoordsDims>
KOKKOS_FUNCTION double	deriv_2_and_3 (ddc::Coordinate< CoordsDims... > const &coord_eval, ddc::ChunkSpan< double const, spline_domain_type, Layout, memory_space > const spline_coef) const
	Cross-differentiate 3D spline function (described by its spline coefficients) at a given coordinate along the second and third dimensions.

template<class Layout , class... CoordsDims>
KOKKOS_FUNCTION double	deriv_1_and_3 (ddc::Coordinate< CoordsDims... > const &coord_eval, ddc::ChunkSpan< double const, spline_domain_type, Layout, memory_space > const spline_coef) const
	Cross-differentiate 3D spline function (described by its spline coefficients) at a given coordinate along the first and third dimensions.

template<class Layout , class... CoordsDims>
KOKKOS_FUNCTION double	deriv_1_2_3 (ddc::Coordinate< CoordsDims... > const &coord_eval, ddc::ChunkSpan< double const, spline_domain_type, Layout, memory_space > const spline_coef) const
	Cross-differentiate 3D spline function (described by its spline coefficients) at a given coordinate along the dimensions of interest.

template<class InterestDim , class Layout , class... CoordsDims>
KOKKOS_FUNCTION double	deriv (ddc::Coordinate< CoordsDims... > const &coord_eval, ddc::ChunkSpan< double const, spline_domain_type, Layout, memory_space > const spline_coef) const
	Differentiate 3D spline function (described by its spline coefficients) at a given coordinate along a specified dimension of interest.

template<class InterestDim1 , class InterestDim2 , class Layout , class... CoordsDims>
KOKKOS_FUNCTION double	deriv2 (ddc::Coordinate< CoordsDims... > const &coord_eval, ddc::ChunkSpan< double const, spline_domain_type, Layout, memory_space > const spline_coef) const
	Double-differentiate 3D spline function (described by its spline coefficients) at a given coordinate along specified dimensions of interest.

template<class InterestDim1 , class InterestDim2 , class InterestDim3 , class Layout , class... CoordsDims>
KOKKOS_FUNCTION double	deriv3 (ddc::Coordinate< CoordsDims... > const &coord_eval, ddc::ChunkSpan< double const, spline_domain_type, Layout, memory_space > const spline_coef) const
	Triple-differentiate 3D spline function (described by its spline coefficients) at a given coordinate along specified dimensions of interest.

template<class Layout1 , class Layout2 , class Layout3 , class BatchedInterpolationDDom , class... CoordsDims>
void	deriv_dim_1 (ddc::ChunkSpan< double, BatchedInterpolationDDom, Layout1, memory_space > const spline_eval, ddc::ChunkSpan< ddc::Coordinate< CoordsDims... > const, BatchedInterpolationDDom, Layout2, memory_space > const coords_eval, ddc::ChunkSpan< double const, batched_spline_domain_type< BatchedInterpolationDDom >, Layout3, memory_space > const spline_coef) const
	Differentiate 3D spline function (described by its spline coefficients) on a mesh along first dimension of interest.

template<class Layout1 , class Layout2 , class BatchedInterpolationDDom >
void	deriv_dim_1 (ddc::ChunkSpan< double, BatchedInterpolationDDom, Layout1, memory_space > const spline_eval, ddc::ChunkSpan< double const, batched_spline_domain_type< BatchedInterpolationDDom >, Layout2, memory_space > const spline_coef) const
	Differentiate 3D spline function (described by its spline coefficients) on a mesh along first dimension of interest.

template<class Layout1 , class Layout2 , class Layout3 , class BatchedInterpolationDDom , class... CoordsDims>
void	deriv_dim_2 (ddc::ChunkSpan< double, BatchedInterpolationDDom, Layout1, memory_space > const spline_eval, ddc::ChunkSpan< ddc::Coordinate< CoordsDims... > const, BatchedInterpolationDDom, Layout2, memory_space > const coords_eval, ddc::ChunkSpan< double const, batched_spline_domain_type< BatchedInterpolationDDom >, Layout3, memory_space > const spline_coef) const
	Differentiate 3D spline function (described by its spline coefficients) on a mesh along second dimension of interest.

template<class Layout1 , class Layout2 , class BatchedInterpolationDDom >
void	deriv_dim_2 (ddc::ChunkSpan< double, BatchedInterpolationDDom, Layout1, memory_space > const spline_eval, ddc::ChunkSpan< double const, batched_spline_domain_type< BatchedInterpolationDDom >, Layout2, memory_space > const spline_coef) const
	Differentiate 3D spline function (described by its spline coefficients) on a mesh along second dimension of interest.

template<class Layout1 , class Layout2 , class Layout3 , class BatchedInterpolationDDom , class... CoordsDims>
void	deriv_dim_3 (ddc::ChunkSpan< double, BatchedInterpolationDDom, Layout1, memory_space > const spline_eval, ddc::ChunkSpan< ddc::Coordinate< CoordsDims... > const, BatchedInterpolationDDom, Layout2, memory_space > const coords_eval, ddc::ChunkSpan< double const, batched_spline_domain_type< BatchedInterpolationDDom >, Layout3, memory_space > const spline_coef) const
	Differentiate 3D spline function (described by its spline coefficients) on a mesh along third dimension of interest.

template<class Layout1 , class Layout2 , class BatchedInterpolationDDom >
void	deriv_dim_3 (ddc::ChunkSpan< double, BatchedInterpolationDDom, Layout1, memory_space > const spline_eval, ddc::ChunkSpan< double const, batched_spline_domain_type< BatchedInterpolationDDom >, Layout2, memory_space > const spline_coef) const
	Differentiate 3D spline function (described by its spline coefficients) on a mesh along third dimension of interest.

template<class Layout1 , class Layout2 , class Layout3 , class BatchedInterpolationDDom , class... CoordsDims>
void	deriv_1_and_2 (ddc::ChunkSpan< double, BatchedInterpolationDDom, Layout1, memory_space > const spline_eval, ddc::ChunkSpan< ddc::Coordinate< CoordsDims... > const, BatchedInterpolationDDom, Layout2, memory_space > const coords_eval, ddc::ChunkSpan< double const, batched_spline_domain_type< BatchedInterpolationDDom >, Layout3, memory_space > const spline_coef) const
	Cross-differentiate 3D spline function (described by its spline coefficients) on a mesh along the first and second dimensions of interest.

template<class Layout1 , class Layout2 , class BatchedInterpolationDDom >
void	deriv_1_and_2 (ddc::ChunkSpan< double, BatchedInterpolationDDom, Layout1, memory_space > const spline_eval, ddc::ChunkSpan< double const, batched_spline_domain_type< BatchedInterpolationDDom >, Layout2, memory_space > const spline_coef) const
	Cross-differentiate 3D spline function (described by its spline coefficients) on a mesh along the first and second dimensions of interest.

template<class Layout1 , class Layout2 , class Layout3 , class BatchedInterpolationDDom , class... CoordsDims>
void	deriv_2_and_3 (ddc::ChunkSpan< double, BatchedInterpolationDDom, Layout1, memory_space > const spline_eval, ddc::ChunkSpan< ddc::Coordinate< CoordsDims... > const, BatchedInterpolationDDom, Layout2, memory_space > const coords_eval, ddc::ChunkSpan< double const, batched_spline_domain_type< BatchedInterpolationDDom >, Layout3, memory_space > const spline_coef) const
	Cross-differentiate 3D spline function (described by its spline coefficients) on a mesh along the second and third dimensions of interest.

template<class Layout1 , class Layout2 , class BatchedInterpolationDDom >
void	deriv_2_and_3 (ddc::ChunkSpan< double, BatchedInterpolationDDom, Layout1, memory_space > const spline_eval, ddc::ChunkSpan< double const, batched_spline_domain_type< BatchedInterpolationDDom >, Layout2, memory_space > const spline_coef) const
	Cross-differentiate 3D spline function (described by its spline coefficients) on a mesh along the second and third dimensions of interest.

template<class Layout1 , class Layout2 , class Layout3 , class BatchedInterpolationDDom , class... CoordsDims>
void	deriv_1_and_3 (ddc::ChunkSpan< double, BatchedInterpolationDDom, Layout1, memory_space > const spline_eval, ddc::ChunkSpan< ddc::Coordinate< CoordsDims... > const, BatchedInterpolationDDom, Layout2, memory_space > const coords_eval, ddc::ChunkSpan< double const, batched_spline_domain_type< BatchedInterpolationDDom >, Layout3, memory_space > const spline_coef) const
	Cross-differentiate 3D spline function (described by its spline coefficients) on a mesh along the first and third dimensions of interest.

template<class Layout1 , class Layout2 , class BatchedInterpolationDDom >
void	deriv_1_and_3 (ddc::ChunkSpan< double, BatchedInterpolationDDom, Layout1, memory_space > const spline_eval, ddc::ChunkSpan< double const, batched_spline_domain_type< BatchedInterpolationDDom >, Layout2, memory_space > const spline_coef) const
	Cross-differentiate 3D spline function (described by its spline coefficients) on a mesh along the first and third dimensions of interest.

template<class Layout1 , class Layout2 , class Layout3 , class BatchedInterpolationDDom , class... CoordsDims>
void	deriv_1_2_3 (ddc::ChunkSpan< double, BatchedInterpolationDDom, Layout1, memory_space > const spline_eval, ddc::ChunkSpan< ddc::Coordinate< CoordsDims... > const, BatchedInterpolationDDom, Layout2, memory_space > const coords_eval, ddc::ChunkSpan< double const, batched_spline_domain_type< BatchedInterpolationDDom >, Layout3, memory_space > const spline_coef) const
	Cross-differentiate 3D spline function (described by its spline coefficients) on a mesh along the dimensions of interest.

template<class Layout1 , class Layout2 , class BatchedInterpolationDDom >
void	deriv_1_2_3 (ddc::ChunkSpan< double, BatchedInterpolationDDom, Layout1, memory_space > const spline_eval, ddc::ChunkSpan< double const, batched_spline_domain_type< BatchedInterpolationDDom >, Layout2, memory_space > const spline_coef) const
	Cross-differentiate 3D spline function (described by its spline coefficients) on a mesh along the dimensions of interest.

template<class InterestDim , class Layout1 , class Layout2 , class Layout3 , class BatchedInterpolationDDom , class... CoordsDims>
void	deriv (ddc::ChunkSpan< double, BatchedInterpolationDDom, Layout1, memory_space > const spline_eval, ddc::ChunkSpan< ddc::Coordinate< CoordsDims... > const, BatchedInterpolationDDom, Layout2, memory_space > const coords_eval, ddc::ChunkSpan< double const, batched_spline_domain_type< BatchedInterpolationDDom >, Layout3, memory_space > const spline_coef) const
	Differentiate spline function (described by its spline coefficients) on a mesh along a specified dimension of interest.

template<class InterestDim , class Layout1 , class Layout2 , class BatchedInterpolationDDom >
void	deriv (ddc::ChunkSpan< double, BatchedInterpolationDDom, Layout1, memory_space > const spline_eval, ddc::ChunkSpan< double const, batched_spline_domain_type< BatchedInterpolationDDom >, Layout2, memory_space > const spline_coef) const
	Differentiate spline function (described by its spline coefficients) on a mesh along a specified dimension of interest.

template<class InterestDim1 , class InterestDim2 , class Layout1 , class Layout2 , class Layout3 , class BatchedInterpolationDDom , class... CoordsDims>
void	deriv2 (ddc::ChunkSpan< double, BatchedInterpolationDDom, Layout1, memory_space > const spline_eval, ddc::ChunkSpan< ddc::Coordinate< CoordsDims... > const, BatchedInterpolationDDom, Layout2, memory_space > const coords_eval, ddc::ChunkSpan< double const, batched_spline_domain_type< BatchedInterpolationDDom >, Layout3, memory_space > const spline_coef) const
	Double-differentiate 3D spline function (described by its spline coefficients) on a mesh along specified dimensions of interest.

template<class InterestDim1 , class InterestDim2 , class Layout1 , class Layout2 , class BatchedInterpolationDDom >
void	deriv2 (ddc::ChunkSpan< double, BatchedInterpolationDDom, Layout1, memory_space > const spline_eval, ddc::ChunkSpan< double const, batched_spline_domain_type< BatchedInterpolationDDom >, Layout2, memory_space > const spline_coef) const
	Double-differentiate 3D spline function (described by its spline coefficients) on a mesh along specified dimensions of interest.

template<class InterestDim1 , class InterestDim2 , class InterestDim3 , class Layout1 , class Layout2 , class Layout3 , class BatchedInterpolationDDom , class... CoordsDims>
void	deriv3 (ddc::ChunkSpan< double, BatchedInterpolationDDom, Layout1, memory_space > const spline_eval, ddc::ChunkSpan< ddc::Coordinate< CoordsDims... > const, BatchedInterpolationDDom, Layout2, memory_space > const coords_eval, ddc::ChunkSpan< double const, batched_spline_domain_type< BatchedInterpolationDDom >, Layout3, memory_space > const spline_coef) const
	Differentiate spline function (described by its spline coefficients) on a mesh along a specified dimensions of interest.

template<class InterestDim1 , class InterestDim2 , class InterestDim3 , class Layout1 , class Layout2 , class BatchedInterpolationDDom >
void	deriv3 (ddc::ChunkSpan< double, BatchedInterpolationDDom, Layout1, memory_space > const spline_eval, ddc::ChunkSpan< double const, batched_spline_domain_type< BatchedInterpolationDDom >, Layout2, memory_space > const spline_coef) const
	Differentiate spline function (described by its spline coefficients) on a mesh along specified dimensions of interest.

template<class Layout1 , class Layout2 , class BatchedDDom , class BatchedSplineDDom >
void	integrate (ddc::ChunkSpan< double, BatchedDDom, Layout1, memory_space > const integrals, ddc::ChunkSpan< double const, BatchedSplineDDom, Layout2, memory_space > const spline_coef) const
	Perform batched 3D integrations of a spline function (described by its spline coefficients) along the dimensions of interest and store results on a subdomain of batch_domain.

Detailed Description

template<class ExecSpace, class MemorySpace, class BSplines1, class BSplines2, class BSplines3, class EvaluationDDim1, class EvaluationDDim2, class EvaluationDDim3, class LowerExtrapolationRule1, class UpperExtrapolationRule1, class LowerExtrapolationRule2, class UpperExtrapolationRule2, class LowerExtrapolationRule3, class UpperExtrapolationRule3>
class ddc::SplineEvaluator3D< ExecSpace, MemorySpace, BSplines1, BSplines2, BSplines3, EvaluationDDim1, EvaluationDDim2, EvaluationDDim3, LowerExtrapolationRule1, UpperExtrapolationRule1, LowerExtrapolationRule2, UpperExtrapolationRule2, LowerExtrapolationRule3, UpperExtrapolationRule3 >

A class to evaluate, differentiate or integrate a 3D spline function.

A class which contains an operator () which can be used to evaluate, differentiate or integrate a 3D spline function.

Template Parameters

ExecSpace	The Kokkos execution space on which the spline evaluation is performed.
MemorySpace	The Kokkos memory space on which the data (spline coefficients and evaluation) is stored.
BSplines1	The discrete dimension representing the B-splines along the first dimension of interest.
BSplines2	The discrete dimension representing the B-splines along the second dimension of interest.
BSplines3	The discrete dimension representing the B-splines along the third dimension of interest.
EvaluationDDim1	The first discrete dimension on which evaluation points are defined.
EvaluationDDim2	The second discrete dimension on which evaluation points are defined.
EvaluationDDim3	The third discrete dimension on which evaluation points are defined.
LowerExtrapolationRule1	The lower extrapolation rule type along first dimension of interest.
UpperExtrapolationRule1	The upper extrapolation rule type along first dimension of interest.
LowerExtrapolationRule2	The lower extrapolation rule type along second dimension of interest.
UpperExtrapolationRule2	The upper extrapolation rule type along second dimension of interest.
LowerExtrapolationRule3	The lower extrapolation rule type along third dimension of interest.
UpperExtrapolationRule3	The upper extrapolation rule type along third dimension of interest.

Definition at line 55 of file spline_evaluator_3d.hpp.

Member Typedef Documentation

◆ continuous_dimension_type1

using ddc::SplineEvaluator3D< ExecSpace, MemorySpace, BSplines1, BSplines2, BSplines3, EvaluationDDim1, EvaluationDDim2, EvaluationDDim3, LowerExtrapolationRule1, UpperExtrapolationRule1, LowerExtrapolationRule2, UpperExtrapolationRule2, LowerExtrapolationRule3, UpperExtrapolationRule3 >::continuous_dimension_type1 = typename BSplines1::continuous_dimension_type

The type of the first evaluation continuous dimension used by this class.

Definition at line 74 of file spline_evaluator_3d.hpp.

◆ continuous_dimension_type2

using ddc::SplineEvaluator3D< ExecSpace, MemorySpace, BSplines1, BSplines2, BSplines3, EvaluationDDim1, EvaluationDDim2, EvaluationDDim3, LowerExtrapolationRule1, UpperExtrapolationRule1, LowerExtrapolationRule2, UpperExtrapolationRule2, LowerExtrapolationRule3, UpperExtrapolationRule3 >::continuous_dimension_type2 = typename BSplines2::continuous_dimension_type

The type of the second evaluation continuous dimension used by this class.

Definition at line 77 of file spline_evaluator_3d.hpp.

◆ continuous_dimension_type3

using ddc::SplineEvaluator3D< ExecSpace, MemorySpace, BSplines1, BSplines2, BSplines3, EvaluationDDim1, EvaluationDDim2, EvaluationDDim3, LowerExtrapolationRule1, UpperExtrapolationRule1, LowerExtrapolationRule2, UpperExtrapolationRule2, LowerExtrapolationRule3, UpperExtrapolationRule3 >::continuous_dimension_type3 = typename BSplines3::continuous_dimension_type

The type of the third evaluation continuous dimension used by this class.

Definition at line 80 of file spline_evaluator_3d.hpp.

◆ exec_space

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

Definition at line 83 of file spline_evaluator_3d.hpp.

◆ memory_space

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

Definition at line 86 of file spline_evaluator_3d.hpp.

◆ evaluation_discrete_dimension_type1

The type of the first discrete dimension of interest used by this class.

Definition at line 89 of file spline_evaluator_3d.hpp.

◆ evaluation_discrete_dimension_type2

The type of the second discrete dimension of interest used by this class.

Definition at line 92 of file spline_evaluator_3d.hpp.

◆ evaluation_discrete_dimension_type3

The type of the third discrete dimension of interest used by this class.

Definition at line 95 of file spline_evaluator_3d.hpp.

◆ bsplines_type1

The discrete dimension representing the B-splines along first dimension.

Definition at line 98 of file spline_evaluator_3d.hpp.

◆ bsplines_type2

The discrete dimension representing the B-splines along second dimension.

Definition at line 101 of file spline_evaluator_3d.hpp.

◆ bsplines_type3

The discrete dimension representing the B-splines along third dimension.

Definition at line 104 of file spline_evaluator_3d.hpp.

◆ evaluation_domain_type1

The type of the domain for the 1D evaluation mesh along first dimension used by this class.

Definition at line 107 of file spline_evaluator_3d.hpp.

◆ evaluation_domain_type2

The type of the domain for the 1D evaluation mesh along second dimension used by this class.

Definition at line 110 of file spline_evaluator_3d.hpp.

◆ evaluation_domain_type3

The type of the domain for the 1D evaluation mesh along third dimension used by this class.

Definition at line 113 of file spline_evaluator_3d.hpp.

◆ evaluation_domain_type

The type of the domain for the 3D evaluation mesh used by this class.

Definition at line 116 of file spline_evaluator_3d.hpp.

◆ batched_evaluation_domain_type

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

using ddc::SplineEvaluator3D< ExecSpace, MemorySpace, BSplines1, BSplines2, BSplines3, EvaluationDDim1, EvaluationDDim2, EvaluationDDim3, LowerExtrapolationRule1, UpperExtrapolationRule1, LowerExtrapolationRule2, UpperExtrapolationRule2, LowerExtrapolationRule3, UpperExtrapolationRule3 >::batched_evaluation_domain_type = BatchedInterpolationDDom

The type of the whole domain representing evaluation points.

Template Parameters

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

Definition at line 129 of file spline_evaluator_3d.hpp.

◆ spline_domain_type1

The type of the 1D spline domain corresponding to the first dimension of interest.

Definition at line 132 of file spline_evaluator_3d.hpp.

◆ spline_domain_type2

The type of the 1D spline domain corresponding to the second dimension of interest.

Definition at line 135 of file spline_evaluator_3d.hpp.

◆ spline_domain_type3

The type of the 1D spline domain corresponding to the third dimension of interest.

Definition at line 138 of file spline_evaluator_3d.hpp.

◆ spline_domain_type

The type of the 3D spline domain corresponding to the dimensions of interest.

Definition at line 141 of file spline_evaluator_3d.hpp.

◆ batch_domain_type

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

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.

Definition at line 152 of file spline_evaluator_3d.hpp.

◆ batched_spline_domain_type

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

using ddc::SplineEvaluator3D< ExecSpace, MemorySpace, BSplines1, BSplines2, BSplines3, EvaluationDDim1, EvaluationDDim2, EvaluationDDim3, LowerExtrapolationRule1, UpperExtrapolationRule1, LowerExtrapolationRule2, UpperExtrapolationRule2, LowerExtrapolationRule3, UpperExtrapolationRule3 >::batched_spline_domain_type = typename ddc::detail::convert_type_seq_to_discrete_domain_t<ddc::type_seq_replace_t< ddc::to_type_seq_t<BatchedInterpolationDDom>, ddc::detail::TypeSeq< evaluation_discrete_dimension_type1, evaluation_discrete_dimension_type2, evaluation_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 underlying memory layout (order of dimensions).

Template Parameters

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

Definition at line 167 of file spline_evaluator_3d.hpp.

◆ lower_extrapolation_rule_1_type

The type of the extrapolation rule at the lower boundary along the first dimension.

Definition at line 177 of file spline_evaluator_3d.hpp.

◆ upper_extrapolation_rule_1_type

The type of the extrapolation rule at the upper boundary along the first dimension.

Definition at line 180 of file spline_evaluator_3d.hpp.

◆ lower_extrapolation_rule_2_type

The type of the extrapolation rule at the lower boundary along the second dimension.

Definition at line 183 of file spline_evaluator_3d.hpp.

◆ upper_extrapolation_rule_2_type

The type of the extrapolation rule at the upper boundary along the second dimension.

Definition at line 186 of file spline_evaluator_3d.hpp.

◆ lower_extrapolation_rule_3_type

The type of the extrapolation rule at the lower boundary along the third dimension.

Definition at line 189 of file spline_evaluator_3d.hpp.

◆ upper_extrapolation_rule_3_type

The type of the extrapolation rule at the upper boundary along the third dimension.

Definition at line 192 of file spline_evaluator_3d.hpp.

Constructor & Destructor Documentation

◆ SplineEvaluator3D() [1/3]

ddc::SplineEvaluator3D< ExecSpace, MemorySpace, BSplines1, BSplines2, BSplines3, EvaluationDDim1, EvaluationDDim2, EvaluationDDim3, LowerExtrapolationRule1, UpperExtrapolationRule1, LowerExtrapolationRule2, UpperExtrapolationRule2, LowerExtrapolationRule3, UpperExtrapolationRule3 >::SplineEvaluator3D	(	LowerExtrapolationRule1 const &	lower_extrap_rule1,
		UpperExtrapolationRule1 const &	upper_extrap_rule1,
		LowerExtrapolationRule2 const &	lower_extrap_rule2,
		UpperExtrapolationRule2 const &	upper_extrap_rule2,
		LowerExtrapolationRule3 const &	lower_extrap_rule3,
		UpperExtrapolationRule3 const &	upper_extrap_rule3
	)

inlineexplicit

Build a SplineEvaluator3D acting on batched_spline_domain.

Parameters

lower_extrap_rule1	The extrapolation rule at the lower boundary along the first dimension.
upper_extrap_rule1	The extrapolation rule at the upper boundary along the first dimension.
lower_extrap_rule2	The extrapolation rule at the lower boundary along the second dimension.
upper_extrap_rule2	The extrapolation rule at the upper boundary along the second dimension.
lower_extrap_rule3	The extrapolation rule at the lower boundary along the third dimension.
upper_extrap_rule3	The extrapolation rule at the upper boundary along the third dimension.

See also: NullExtrapolationRule ConstantExtrapolationRule PeriodicExtrapolationRule

Definition at line 318 of file spline_evaluator_3d.hpp.

◆ SplineEvaluator3D() [2/3]

Copy-constructs.

Parameters

x	A reference to another SplineEvaluator.

◆ SplineEvaluator3D() [3/3]

Move-constructs.

Parameters

x	An rvalue to another SplineEvaluator.

◆ ~SplineEvaluator3D()

Member Function Documentation

◆ operator=() [1/2]

Copy-assigns.

Parameters

x	A reference to another SplineEvaluator.

Returns: A reference to this object.

◆ operator=() [2/2]

Move-assigns.

Parameters

x	An rvalue to another SplineEvaluator.

Returns: A reference to this object.

◆ lower_extrapolation_rule_dim_1()

lower_extrapolation_rule_1_type ddc::SplineEvaluator3D< ExecSpace, MemorySpace, BSplines1, BSplines2, BSplines3, EvaluationDDim1, EvaluationDDim2, EvaluationDDim3, LowerExtrapolationRule1, UpperExtrapolationRule1, LowerExtrapolationRule2, UpperExtrapolationRule2, LowerExtrapolationRule3, UpperExtrapolationRule3 >::lower_extrapolation_rule_dim_1 ( ) const

inline

Get the lower extrapolation rule along the first dimension.

Extrapolation rules are functors used to define the behavior of the SplineEvaluator out of the domain where the break points of the B-splines are defined.

Returns: The lower extrapolation rule along the first dimension.

See also: NullExtrapolationRule ConstantExtrapolationRule PeriodicExtrapolationRule

Definition at line 376 of file spline_evaluator_3d.hpp.

◆ upper_extrapolation_rule_dim_1()

upper_extrapolation_rule_1_type ddc::SplineEvaluator3D< ExecSpace, MemorySpace, BSplines1, BSplines2, BSplines3, EvaluationDDim1, EvaluationDDim2, EvaluationDDim3, LowerExtrapolationRule1, UpperExtrapolationRule1, LowerExtrapolationRule2, UpperExtrapolationRule2, LowerExtrapolationRule3, UpperExtrapolationRule3 >::upper_extrapolation_rule_dim_1 ( ) const

inline

Get the upper extrapolation rule along the first dimension.

Extrapolation rules are functors used to define the behavior of the SplineEvaluator out of the domain where the break points of the B-splines are defined.

Returns: The upper extrapolation rule along the first dimension.

See also: NullExtrapolationRule ConstantExtrapolationRule PeriodicExtrapolationRule

Definition at line 390 of file spline_evaluator_3d.hpp.

◆ lower_extrapolation_rule_dim_2()

lower_extrapolation_rule_2_type ddc::SplineEvaluator3D< ExecSpace, MemorySpace, BSplines1, BSplines2, BSplines3, EvaluationDDim1, EvaluationDDim2, EvaluationDDim3, LowerExtrapolationRule1, UpperExtrapolationRule1, LowerExtrapolationRule2, UpperExtrapolationRule2, LowerExtrapolationRule3, UpperExtrapolationRule3 >::lower_extrapolation_rule_dim_2 ( ) const

inline

Get the lower extrapolation rule along the second dimension.

Extrapolation rules are functors used to define the behavior of the SplineEvaluator out of the domain where the break points of the B-splines are defined.

Returns: The lower extrapolation rule along the second dimension.

See also: NullExtrapolationRule ConstantExtrapolationRule PeriodicExtrapolationRule

Definition at line 404 of file spline_evaluator_3d.hpp.

◆ upper_extrapolation_rule_dim_2()

upper_extrapolation_rule_2_type ddc::SplineEvaluator3D< ExecSpace, MemorySpace, BSplines1, BSplines2, BSplines3, EvaluationDDim1, EvaluationDDim2, EvaluationDDim3, LowerExtrapolationRule1, UpperExtrapolationRule1, LowerExtrapolationRule2, UpperExtrapolationRule2, LowerExtrapolationRule3, UpperExtrapolationRule3 >::upper_extrapolation_rule_dim_2 ( ) const

inline

Get the upper extrapolation rule along the second dimension.

Extrapolation rules are functors used to define the behavior of the SplineEvaluator out of the domain where the break points of the B-splines are defined.

Returns: The upper extrapolation rule along the second dimension.

See also: NullExtrapolationRule ConstantExtrapolationRule PeriodicExtrapolationRule

Definition at line 418 of file spline_evaluator_3d.hpp.

◆ lower_extrapolation_rule_dim_3()

lower_extrapolation_rule_3_type ddc::SplineEvaluator3D< ExecSpace, MemorySpace, BSplines1, BSplines2, BSplines3, EvaluationDDim1, EvaluationDDim2, EvaluationDDim3, LowerExtrapolationRule1, UpperExtrapolationRule1, LowerExtrapolationRule2, UpperExtrapolationRule2, LowerExtrapolationRule3, UpperExtrapolationRule3 >::lower_extrapolation_rule_dim_3 ( ) const

inline

Get the lower extrapolation rule along the third dimension.

Extrapolation rules are functors used to define the behavior of the SplineEvaluator out of the domain where the break points of the B-splines are defined.

Returns: The lower extrapolation rule along the third dimension.

See also: NullExtrapolationRule ConstantExtrapolationRule PeriodicExtrapolationRule

Definition at line 432 of file spline_evaluator_3d.hpp.

◆ upper_extrapolation_rule_dim_3()

upper_extrapolation_rule_3_type ddc::SplineEvaluator3D< ExecSpace, MemorySpace, BSplines1, BSplines2, BSplines3, EvaluationDDim1, EvaluationDDim2, EvaluationDDim3, LowerExtrapolationRule1, UpperExtrapolationRule1, LowerExtrapolationRule2, UpperExtrapolationRule2, LowerExtrapolationRule3, UpperExtrapolationRule3 >::upper_extrapolation_rule_dim_3 ( ) const

inline

Get the upper extrapolation rule along the third dimension.

Extrapolation rules are functors used to define the behavior of the SplineEvaluator out of the domain where the break points of the B-splines are defined.

Returns: The upper extrapolation rule along the third dimension.

See also: NullExtrapolationRule ConstantExtrapolationRule PeriodicExtrapolationRule

Definition at line 446 of file spline_evaluator_3d.hpp.

◆ operator()() [1/3]

template<class Layout , class... CoordsDims>

KOKKOS_FUNCTION double ddc::SplineEvaluator3D< ExecSpace, MemorySpace, BSplines1, BSplines2, BSplines3, EvaluationDDim1, EvaluationDDim2, EvaluationDDim3, LowerExtrapolationRule1, UpperExtrapolationRule1, LowerExtrapolationRule2, UpperExtrapolationRule2, LowerExtrapolationRule3, UpperExtrapolationRule3 >::operator()	(	ddc::Coordinate< CoordsDims... > const &	coord_eval,
		ddc::ChunkSpan< double const, spline_domain_type, Layout, memory_space > const	spline_coef
	)		const

inline

Evaluate 3D spline function (described by its spline coefficients) at a given coordinate.

The spline coefficients represent a 3D spline function defined on a B-splines (basis splines). They can be obtained via various methods, such as using a SplineBuilder3D.

Remark: calling SplineBuilder3D then SplineEvaluator3D corresponds to a 3D spline interpolation.

Parameters

coord_eval	The coordinate where the spline is evaluated. Note that only the components along the dimensions of interest are used.
spline_coef	A ChunkSpan storing the 3D spline coefficients.

Returns: The value of the spline function at the desired coordinate.

Definition at line 464 of file spline_evaluator_3d.hpp.

◆ operator()() [2/3]

template<class Layout1 , class Layout2 , class Layout3 , class BatchedInterpolationDDom , class... CoordsDims>

void ddc::SplineEvaluator3D< ExecSpace, MemorySpace, BSplines1, BSplines2, BSplines3, EvaluationDDim1, EvaluationDDim2, EvaluationDDim3, LowerExtrapolationRule1, UpperExtrapolationRule1, LowerExtrapolationRule2, UpperExtrapolationRule2, LowerExtrapolationRule3, UpperExtrapolationRule3 >::operator()	(	ddc::ChunkSpan< double, BatchedInterpolationDDom, Layout1, memory_space > const	spline_eval,
		ddc::ChunkSpan< ddc::Coordinate< CoordsDims... > const, BatchedInterpolationDDom, Layout2, memory_space > const	coords_eval,
		ddc::ChunkSpan< double const, batched_spline_domain_type< BatchedInterpolationDDom >, Layout3, memory_space > const	spline_coef
	)		const

inline

Evaluate 3D spline function (described by its spline coefficients) on a mesh.

The spline coefficients represent a 3D spline function defined on a cartesian product of batch_domain and B-splines (basis splines). They can be obtained via various methods, such as using a SplineBuilder3D.

This is not a nD evaluation. This is a batched 3D evaluation. This means that for each slice of coordinates identified by a batch_domain_type::discrete_element_type, the evaluation is performed with the 3D set of spline coefficients identified by the same batch_domain_type::discrete_element_type.

Remark: calling SplineBuilder3D then SplineEvaluator3D corresponds to a 3D spline interpolation.

Parameters

[out]	spline_eval	The values of the 3D spline function at the desired coordinates. For practical reasons those are stored in a ChunkSpan defined on a batched_evaluation_domain_type.
[in]	coords_eval	The coordinates where the spline is evaluated. Those are stored in a ChunkSpan defined on a batched_evaluation_domain_type. Note that the coordinates of the points represented by this domain are unused and irrelevant (but the points themselves (DiscreteElement) are used to select the set of 3D spline coefficients retained to perform the evaluation).
[in]	spline_coef	A ChunkSpan storing the 3D spline coefficients.

Definition at line 498 of file spline_evaluator_3d.hpp.

◆ operator()() [3/3]

template<class Layout1 , class Layout2 , class BatchedInterpolationDDom >

inline

Evaluate 3D spline function (described by its spline coefficients) on a mesh.

The spline coefficients represent a 3D spline function defined on a cartesian product of batch_domain and B-splines (basis splines). They can be obtained via various methods, such as using a SplineBuilder3D.

This is not a multidimensional evaluation. This is a batched 3D evaluation. This means that for each slice of spline_eval the evaluation is performed with the 3D set of spline coefficients identified by the same batch_domain_type::discrete_element_type.

Remark: calling SplineBuilder3D then SplineEvaluator3D corresponds to a 3D spline interpolation.

Parameters

[out]	spline_eval	The values of the 3D spline function at their coordinates.
[in]	spline_coef	A ChunkSpan storing the 3D spline coefficients.

Definition at line 553 of file spline_evaluator_3d.hpp.

◆ deriv_dim_1() [1/3]

template<class Layout , class... CoordsDims>

KOKKOS_FUNCTION double ddc::SplineEvaluator3D< ExecSpace, MemorySpace, BSplines1, BSplines2, BSplines3, EvaluationDDim1, EvaluationDDim2, EvaluationDDim3, LowerExtrapolationRule1, UpperExtrapolationRule1, LowerExtrapolationRule2, UpperExtrapolationRule2, LowerExtrapolationRule3, UpperExtrapolationRule3 >::deriv_dim_1	(	ddc::Coordinate< CoordsDims... > const &	coord_eval,
		ddc::ChunkSpan< double const, spline_domain_type, Layout, memory_space > const	spline_coef
	)		const

inline

Differentiate 3D spline function (described by its spline coefficients) at a given coordinate along first dimension of interest.

The spline coefficients represent a 3D spline function defined on a B-splines (basis splines). They can be obtained via various methods, such as using a SplineBuilder3D.

Parameters

coord_eval	The coordinate where the spline is differentiated. Note that only the components along the dimensions of interest are used.
spline_coef	A ChunkSpan storing the 3D spline coefficients.

Returns: The derivative of the spline function at the desired coordinate.

Definition at line 606 of file spline_evaluator_3d.hpp.

◆ deriv_dim_2() [1/3]

template<class Layout , class... CoordsDims>

KOKKOS_FUNCTION double ddc::SplineEvaluator3D< ExecSpace, MemorySpace, BSplines1, BSplines2, BSplines3, EvaluationDDim1, EvaluationDDim2, EvaluationDDim3, LowerExtrapolationRule1, UpperExtrapolationRule1, LowerExtrapolationRule2, UpperExtrapolationRule2, LowerExtrapolationRule3, UpperExtrapolationRule3 >::deriv_dim_2	(	ddc::Coordinate< CoordsDims... > const &	coord_eval,
		ddc::ChunkSpan< double const, spline_domain_type, Layout, memory_space > const	spline_coef
	)		const

inline

Differentiate 3D spline function (described by its spline coefficients) at a given coordinate along second dimension of interest.

The spline coefficients represent a 3D spline function defined on a B-splines (basis splines). They can be obtained via various methods, such as using a SplineBuilder3D.

Parameters

coord_eval	The coordinate where the spline is differentiated. Note that only the components along the dimensions of interest are used.
spline_coef	A ChunkSpan storing the 3D spline coefficients.

Returns: The derivative of the spline function at the desired coordinate.

Definition at line 626 of file spline_evaluator_3d.hpp.

◆ deriv_dim_3() [1/3]

template<class Layout , class... CoordsDims>

KOKKOS_FUNCTION double ddc::SplineEvaluator3D< ExecSpace, MemorySpace, BSplines1, BSplines2, BSplines3, EvaluationDDim1, EvaluationDDim2, EvaluationDDim3, LowerExtrapolationRule1, UpperExtrapolationRule1, LowerExtrapolationRule2, UpperExtrapolationRule2, LowerExtrapolationRule3, UpperExtrapolationRule3 >::deriv_dim_3	(	ddc::Coordinate< CoordsDims... > const &	coord_eval,
		ddc::ChunkSpan< double const, spline_domain_type, Layout, memory_space > const	spline_coef
	)		const

inline

Differentiate 3D spline function (described by its spline coefficients) at a given coordinate along third dimension of interest.

The spline coefficients represent a 3D spline function defined on a B-splines (basis splines). They can be obtained via various methods, such as using a SplineBuilder3D.

Parameters

coord_eval	The coordinate where the spline is differentiated. Note that only the components along the dimensions of interest are used.
spline_coef	A ChunkSpan storing the 3D spline coefficients.

Returns: The derivative of the spline function at the desired coordinate.

Definition at line 646 of file spline_evaluator_3d.hpp.

◆ deriv_1_and_2() [1/3]

template<class Layout , class... CoordsDims>

KOKKOS_FUNCTION double ddc::SplineEvaluator3D< ExecSpace, MemorySpace, BSplines1, BSplines2, BSplines3, EvaluationDDim1, EvaluationDDim2, EvaluationDDim3, LowerExtrapolationRule1, UpperExtrapolationRule1, LowerExtrapolationRule2, UpperExtrapolationRule2, LowerExtrapolationRule3, UpperExtrapolationRule3 >::deriv_1_and_2	(	ddc::Coordinate< CoordsDims... > const &	coord_eval,
		ddc::ChunkSpan< double const, spline_domain_type, Layout, memory_space > const	spline_coef
	)		const

inline

Cross-differentiate 3D spline function (described by its spline coefficients) at a given coordinate along the first and second dimensions.

The spline coefficients represent a 3D spline function defined on a B-splines (basis splines). They can be obtained via various methods, such as using a SplineBuilder3D.

Parameters

coord_eval	The coordinate where the spline is differentiated. Note that only the components along the dimensions of interest are used.
spline_coef	A ChunkSpan storing the 3D spline coefficients.

Returns: The derivative of the spline function at the desired coordinate.

Definition at line 666 of file spline_evaluator_3d.hpp.

◆ deriv_2_and_3() [1/3]

template<class Layout , class... CoordsDims>

KOKKOS_FUNCTION double ddc::SplineEvaluator3D< ExecSpace, MemorySpace, BSplines1, BSplines2, BSplines3, EvaluationDDim1, EvaluationDDim2, EvaluationDDim3, LowerExtrapolationRule1, UpperExtrapolationRule1, LowerExtrapolationRule2, UpperExtrapolationRule2, LowerExtrapolationRule3, UpperExtrapolationRule3 >::deriv_2_and_3	(	ddc::Coordinate< CoordsDims... > const &	coord_eval,
		ddc::ChunkSpan< double const, spline_domain_type, Layout, memory_space > const	spline_coef
	)		const

inline

Cross-differentiate 3D spline function (described by its spline coefficients) at a given coordinate along the second and third dimensions.

The spline coefficients represent a 3D spline function defined on a B-splines (basis splines). They can be obtained via various methods, such as using a SplineBuilder3D.

Parameters

coord_eval	The coordinate where the spline is differentiated. Note that only the components along the dimensions of interest are used.
spline_coef	A ChunkSpan storing the 3D spline coefficients.

Returns: The derivative of the spline function at the desired coordinate.

Definition at line 686 of file spline_evaluator_3d.hpp.

◆ deriv_1_and_3() [1/3]

template<class Layout , class... CoordsDims>

KOKKOS_FUNCTION double ddc::SplineEvaluator3D< ExecSpace, MemorySpace, BSplines1, BSplines2, BSplines3, EvaluationDDim1, EvaluationDDim2, EvaluationDDim3, LowerExtrapolationRule1, UpperExtrapolationRule1, LowerExtrapolationRule2, UpperExtrapolationRule2, LowerExtrapolationRule3, UpperExtrapolationRule3 >::deriv_1_and_3	(	ddc::Coordinate< CoordsDims... > const &	coord_eval,
		ddc::ChunkSpan< double const, spline_domain_type, Layout, memory_space > const	spline_coef
	)		const

inline

Cross-differentiate 3D spline function (described by its spline coefficients) at a given coordinate along the first and third dimensions.

The spline coefficients represent a 3D spline function defined on a B-splines (basis splines). They can be obtained via various methods, such as using a SplineBuilder3D.

Parameters

coord_eval	The coordinate where the spline is differentiated. Note that only the components along the dimensions of interest are used.
spline_coef	A ChunkSpan storing the 3D spline coefficients.

Returns: The derivative of the spline function at the desired coordinate.

Definition at line 706 of file spline_evaluator_3d.hpp.

◆ deriv_1_2_3() [1/3]

template<class Layout , class... CoordsDims>

KOKKOS_FUNCTION double ddc::SplineEvaluator3D< ExecSpace, MemorySpace, BSplines1, BSplines2, BSplines3, EvaluationDDim1, EvaluationDDim2, EvaluationDDim3, LowerExtrapolationRule1, UpperExtrapolationRule1, LowerExtrapolationRule2, UpperExtrapolationRule2, LowerExtrapolationRule3, UpperExtrapolationRule3 >::deriv_1_2_3	(	ddc::Coordinate< CoordsDims... > const &	coord_eval,
		ddc::ChunkSpan< double const, spline_domain_type, Layout, memory_space > const	spline_coef
	)		const

inline

Cross-differentiate 3D spline function (described by its spline coefficients) at a given coordinate along the dimensions of interest.

The spline coefficients represent a 3D spline function defined on a B-splines (basis splines). They can be obtained via various methods, such as using a SplineBuilder3D.

Parameters

coord_eval	The coordinate where the spline is differentiated. Note that only the components along the dimensions of interest are used.
spline_coef	A ChunkSpan storing the 3D spline coefficients.

Returns: The derivative of the spline function at the desired coordinate.

Definition at line 726 of file spline_evaluator_3d.hpp.

◆ deriv() [1/3]

template<class InterestDim , class Layout , class... CoordsDims>

KOKKOS_FUNCTION double ddc::SplineEvaluator3D< ExecSpace, MemorySpace, BSplines1, BSplines2, BSplines3, EvaluationDDim1, EvaluationDDim2, EvaluationDDim3, LowerExtrapolationRule1, UpperExtrapolationRule1, LowerExtrapolationRule2, UpperExtrapolationRule2, LowerExtrapolationRule3, UpperExtrapolationRule3 >::deriv	(	ddc::Coordinate< CoordsDims... > const &	coord_eval,
		ddc::ChunkSpan< double const, spline_domain_type, Layout, memory_space > const	spline_coef
	)		const

inline

Differentiate 3D spline function (described by its spline coefficients) at a given coordinate along a specified dimension of interest.

The spline coefficients represent a 3D spline function defined on a B-splines (basis splines). They can be obtained via various methods, such as using a SplineBuilder3D.

Template Parameters

InterestDim Dimension along which differentiation is performed.

Parameters

coord_eval	The coordinate where the spline is differentiated. Note that only the components along the dimensions of interest are used.
spline_coef	A ChunkSpan storing the 3D spline coefficients.

Returns: The derivative of the spline function at the desired coordinate.

Definition at line 751 of file spline_evaluator_3d.hpp.

◆ deriv2() [1/3]

template<class InterestDim1 , class InterestDim2 , class Layout , class... CoordsDims>

KOKKOS_FUNCTION double ddc::SplineEvaluator3D< ExecSpace, MemorySpace, BSplines1, BSplines2, BSplines3, EvaluationDDim1, EvaluationDDim2, EvaluationDDim3, LowerExtrapolationRule1, UpperExtrapolationRule1, LowerExtrapolationRule2, UpperExtrapolationRule2, LowerExtrapolationRule3, UpperExtrapolationRule3 >::deriv2	(	ddc::Coordinate< CoordsDims... > const &	coord_eval,
		ddc::ChunkSpan< double const, spline_domain_type, Layout, memory_space > const	spline_coef
	)		const

inline

Double-differentiate 3D spline function (described by its spline coefficients) at a given coordinate along specified dimensions of interest.

The spline coefficients represent a 3D spline function defined on a B-splines (basis splines). They can be obtained via various methods, such as using a SplineBuilder3D.

Note: double-differentiation other than cross-differentiation is not supported atm. See #440

Template Parameters

InterestDim1	First dimension along which differentiation is performed.
InterestDim2	Second dimension along which differentiation is performed.

Parameters

coord_eval	The coordinate where the spline is double-differentiated. Note that only the components along the dimensions of interest are used.
spline_coef	A ChunkSpan storing the 3D spline coefficients.

Returns: The derivative of the spline function at the desired coordinate.

Definition at line 795 of file spline_evaluator_3d.hpp.

◆ deriv3() [1/3]

template<class InterestDim1 , class InterestDim2 , class InterestDim3 , class Layout , class... CoordsDims>

KOKKOS_FUNCTION double ddc::SplineEvaluator3D< ExecSpace, MemorySpace, BSplines1, BSplines2, BSplines3, EvaluationDDim1, EvaluationDDim2, EvaluationDDim3, LowerExtrapolationRule1, UpperExtrapolationRule1, LowerExtrapolationRule2, UpperExtrapolationRule2, LowerExtrapolationRule3, UpperExtrapolationRule3 >::deriv3	(	ddc::Coordinate< CoordsDims... > const &	coord_eval,
		ddc::ChunkSpan< double const, spline_domain_type, Layout, memory_space > const	spline_coef
	)		const

inline

Triple-differentiate 3D spline function (described by its spline coefficients) at a given coordinate along specified dimensions of interest.

The spline coefficients represent a 3D spline function defined on a B-splines (basis splines). They can be obtained via various methods, such as using a SplineBuilder3D.

Note: triple-differentiation other than cross-differentiation is not supported atm. See #440

Template Parameters

InterestDim1	First dimension along which differentiation is performed.
InterestDim2	Second dimension along which differentiation is performed.
InterestDim3	Third dimension along which differentiation is performed.

Parameters

coord_eval	The coordinate where the spline is triple-differentiated. Note that only the components along the dimensions of interest are used.
spline_coef	A ChunkSpan storing the 3D spline coefficients.

Returns: The derivative of the spline function at the desired coordinate.

Definition at line 882 of file spline_evaluator_3d.hpp.

◆ deriv_dim_1() [2/3]

template<class Layout1 , class Layout2 , class Layout3 , class BatchedInterpolationDDom , class... CoordsDims>

void ddc::SplineEvaluator3D< ExecSpace, MemorySpace, BSplines1, BSplines2, BSplines3, EvaluationDDim1, EvaluationDDim2, EvaluationDDim3, LowerExtrapolationRule1, UpperExtrapolationRule1, LowerExtrapolationRule2, UpperExtrapolationRule2, LowerExtrapolationRule3, UpperExtrapolationRule3 >::deriv_dim_1	(	ddc::ChunkSpan< double, BatchedInterpolationDDom, Layout1, memory_space > const	spline_eval,
		ddc::ChunkSpan< ddc::Coordinate< CoordsDims... > const, BatchedInterpolationDDom, Layout2, memory_space > const	coords_eval,
		ddc::ChunkSpan< double const, batched_spline_domain_type< BatchedInterpolationDDom >, Layout3, memory_space > const	spline_coef
	)		const

inline

Differentiate 3D spline function (described by its spline coefficients) on a mesh along first dimension of interest.

The spline coefficients represent a 3D spline function defined on a cartesian product of batch_domain and B-splines (basis splines). They can be obtained via various methods, such as using a SplineBuilder3D.

This is not a nD evaluation. This is a batched 3D differentiation. This means that for each slice of coordinates identified by a batch_domain_type::discrete_element_type, the differentiation is performed with the 3D set of spline coefficients identified by the same batch_domain_type::discrete_element_type.

Parameters

[out]	spline_eval	The derivatives of the 3D spline function at the desired coordinates. For practical reasons those are stored in a ChunkSpan defined on a batched_evaluation_domain_type. Note that the coordinates of the points represented by this domain are unused and irrelevant (but the points themselves (DiscreteElement) are used to select the set of 3D spline coefficients retained to perform the evaluation).
[in]	coords_eval	The coordinates where the spline is differentiated. Those are stored in a ChunkSpan defined on a batched_evaluation_domain_type. Note that the coordinates of the points represented by this domain are unused and irrelevant (but the points themselves (DiscreteElement) are used to select the set of 3D spline coefficients retained to perform the evaluation).
[in]	spline_coef	A ChunkSpan storing the 3D spline coefficients.

Definition at line 933 of file spline_evaluator_3d.hpp.

◆ deriv_dim_1() [3/3]

template<class Layout1 , class Layout2 , class BatchedInterpolationDDom >

void ddc::SplineEvaluator3D< ExecSpace, MemorySpace, BSplines1, BSplines2, BSplines3, EvaluationDDim1, EvaluationDDim2, EvaluationDDim3, LowerExtrapolationRule1, UpperExtrapolationRule1, LowerExtrapolationRule2, UpperExtrapolationRule2, LowerExtrapolationRule3, UpperExtrapolationRule3 >::deriv_dim_1	(	ddc::ChunkSpan< double, BatchedInterpolationDDom, Layout1, memory_space > const	spline_eval,
		ddc::ChunkSpan< double const, batched_spline_domain_type< BatchedInterpolationDDom >, Layout2, memory_space > const	spline_coef
	)		const

inline

Differentiate 3D spline function (described by its spline coefficients) on a mesh along first dimension of interest.

The spline coefficients represent a 3D spline function defined on a cartesian product of batch_domain and B-splines (basis splines). They can be obtained via various methods, such as using a SplineBuilder3D.

This is not a multidimensional evaluation. This is a batched 3D evaluation. This means that for each slice of spline_eval the evaluation is performed with the 3D set of spline coefficients identified by the same batch_domain_type::discrete_element_type.

Parameters

[out]	spline_eval	The derivatives of the 3D spline function at the desired coordinates.
[in]	spline_coef	A ChunkSpan storing the 3D spline coefficients.

Definition at line 988 of file spline_evaluator_3d.hpp.

◆ deriv_dim_2() [2/3]

template<class Layout1 , class Layout2 , class Layout3 , class BatchedInterpolationDDom , class... CoordsDims>

void ddc::SplineEvaluator3D< ExecSpace, MemorySpace, BSplines1, BSplines2, BSplines3, EvaluationDDim1, EvaluationDDim2, EvaluationDDim3, LowerExtrapolationRule1, UpperExtrapolationRule1, LowerExtrapolationRule2, UpperExtrapolationRule2, LowerExtrapolationRule3, UpperExtrapolationRule3 >::deriv_dim_2	(	ddc::ChunkSpan< double, BatchedInterpolationDDom, Layout1, memory_space > const	spline_eval,
		ddc::ChunkSpan< ddc::Coordinate< CoordsDims... > const, BatchedInterpolationDDom, Layout2, memory_space > const	coords_eval,
		ddc::ChunkSpan< double const, batched_spline_domain_type< BatchedInterpolationDDom >, Layout3, memory_space > const	spline_coef
	)		const

inline

Differentiate 3D spline function (described by its spline coefficients) on a mesh along second dimension of interest.

The spline coefficients represent a 3D spline function defined on a cartesian product of batch_domain and B-splines (basis splines). They can be obtained via various methods, such as using a SplineBuilder3D.

This is not a nD differentiation. This is a batched 3D differentiation. This means that for each slice of coordinates identified by a batch_domain_type::discrete_element_type, the differentiation is performed with the 3D set of spline coefficients identified by the same batch_domain_type::discrete_element_type.

Parameters

[out]	spline_eval	The derivatives of the 3D spline function at the desired coordinates. For practical reasons those are stored in a ChunkSpan defined on a batched_evaluation_domain_type.
[in]	coords_eval	The coordinates where the spline is differentiated. Those are stored in a ChunkSpan defined on a batched_evaluation_domain_type. Note that the coordinates of the points represented by this domain are unused and irrelevant (but the points themselves (DiscreteElement) are used to select the set of 3D spline coefficients retained to perform the evaluation).
[in]	spline_coef	A ChunkSpan storing the 3D spline coefficients.

Definition at line 1055 of file spline_evaluator_3d.hpp.

◆ deriv_dim_2() [3/3]

template<class Layout1 , class Layout2 , class BatchedInterpolationDDom >

void ddc::SplineEvaluator3D< ExecSpace, MemorySpace, BSplines1, BSplines2, BSplines3, EvaluationDDim1, EvaluationDDim2, EvaluationDDim3, LowerExtrapolationRule1, UpperExtrapolationRule1, LowerExtrapolationRule2, UpperExtrapolationRule2, LowerExtrapolationRule3, UpperExtrapolationRule3 >::deriv_dim_2	(	ddc::ChunkSpan< double, BatchedInterpolationDDom, Layout1, memory_space > const	spline_eval,
		ddc::ChunkSpan< double const, batched_spline_domain_type< BatchedInterpolationDDom >, Layout2, memory_space > const	spline_coef
	)		const

inline

Differentiate 3D spline function (described by its spline coefficients) on a mesh along second dimension of interest.

The spline coefficients represent a 3D spline function defined on a cartesian product of batch_domain and B-splines (basis splines). They can be obtained via various methods, such as using a SplineBuilder3D.

This is not a multidimensional evaluation. This is a batched 3D evaluation. This means that for each slice of spline_eval the evaluation is performed with the 3D set of spline coefficients identified by the same batch_domain_type::discrete_element_type.

Parameters

[out]	spline_eval	The derivatives of the 3D spline function at the desired coordinates.
[in]	spline_coef	A ChunkSpan storing the 3D spline coefficients.

Definition at line 1110 of file spline_evaluator_3d.hpp.

◆ deriv_dim_3() [2/3]

template<class Layout1 , class Layout2 , class Layout3 , class BatchedInterpolationDDom , class... CoordsDims>

void ddc::SplineEvaluator3D< ExecSpace, MemorySpace, BSplines1, BSplines2, BSplines3, EvaluationDDim1, EvaluationDDim2, EvaluationDDim3, LowerExtrapolationRule1, UpperExtrapolationRule1, LowerExtrapolationRule2, UpperExtrapolationRule2, LowerExtrapolationRule3, UpperExtrapolationRule3 >::deriv_dim_3	(	ddc::ChunkSpan< double, BatchedInterpolationDDom, Layout1, memory_space > const	spline_eval,
		ddc::ChunkSpan< ddc::Coordinate< CoordsDims... > const, BatchedInterpolationDDom, Layout2, memory_space > const	coords_eval,
		ddc::ChunkSpan< double const, batched_spline_domain_type< BatchedInterpolationDDom >, Layout3, memory_space > const	spline_coef
	)		const

inline

Differentiate 3D spline function (described by its spline coefficients) on a mesh along third dimension of interest.

The spline coefficients represent a 3D spline function defined on a cartesian product of batch_domain and B-splines (basis splines). They can be obtained via various methods, such as using a SplineBuilder3D.

This is not a nD differentiation. This is a batched 3D differentiation. This means that for each slice of coordinates identified by a batch_domain_type::discrete_element_type, the differentiation is performed with the 3D set of spline coefficients identified by the same batch_domain_type::discrete_element_type.

Parameters

[out]	spline_eval	The derivatives of the 3D spline function at the desired coordinates. For practical reasons those are stored in a ChunkSpan defined on a batched_evaluation_domain_type.
[in]	coords_eval	The coordinates where the spline is differentiated. Those are stored in a ChunkSpan defined on a batched_evaluation_domain_type. Note that the coordinates of the points represented by this domain are unused and irrelevant (but the points themselves (DiscreteElement) are used to select the set of 3D spline coefficients retained to perform the evaluation).
[in]	spline_coef	A ChunkSpan storing the 3D spline coefficients.

Definition at line 1177 of file spline_evaluator_3d.hpp.

◆ deriv_dim_3() [3/3]

template<class Layout1 , class Layout2 , class BatchedInterpolationDDom >

void ddc::SplineEvaluator3D< ExecSpace, MemorySpace, BSplines1, BSplines2, BSplines3, EvaluationDDim1, EvaluationDDim2, EvaluationDDim3, LowerExtrapolationRule1, UpperExtrapolationRule1, LowerExtrapolationRule2, UpperExtrapolationRule2, LowerExtrapolationRule3, UpperExtrapolationRule3 >::deriv_dim_3	(	ddc::ChunkSpan< double, BatchedInterpolationDDom, Layout1, memory_space > const	spline_eval,
		ddc::ChunkSpan< double const, batched_spline_domain_type< BatchedInterpolationDDom >, Layout2, memory_space > const	spline_coef
	)		const

inline

Differentiate 3D spline function (described by its spline coefficients) on a mesh along third dimension of interest.

The spline coefficients represent a 3D spline function defined on a cartesian product of batch_domain and B-splines (basis splines). They can be obtained via various methods, such as using a SplineBuilder3D.

This is not a multidimensional evaluation. This is a batched 3D evaluation. This means that for each slice of spline_eval the evaluation is performed with the 3D set of spline coefficients identified by the same batch_domain_type::discrete_element_type.

Parameters

[out]	spline_eval	The derivatives of the 3D spline function at the desired coordinates.
[in]	spline_coef	A ChunkSpan storing the 3D spline coefficients.

Definition at line 1232 of file spline_evaluator_3d.hpp.

◆ deriv_1_and_2() [2/3]

template<class Layout1 , class Layout2 , class Layout3 , class BatchedInterpolationDDom , class... CoordsDims>

void ddc::SplineEvaluator3D< ExecSpace, MemorySpace, BSplines1, BSplines2, BSplines3, EvaluationDDim1, EvaluationDDim2, EvaluationDDim3, LowerExtrapolationRule1, UpperExtrapolationRule1, LowerExtrapolationRule2, UpperExtrapolationRule2, LowerExtrapolationRule3, UpperExtrapolationRule3 >::deriv_1_and_2	(	ddc::ChunkSpan< double, BatchedInterpolationDDom, Layout1, memory_space > const	spline_eval,
		ddc::ChunkSpan< ddc::Coordinate< CoordsDims... > const, BatchedInterpolationDDom, Layout2, memory_space > const	coords_eval,
		ddc::ChunkSpan< double const, batched_spline_domain_type< BatchedInterpolationDDom >, Layout3, memory_space > const	spline_coef
	)		const

inline

Cross-differentiate 3D spline function (described by its spline coefficients) on a mesh along the first and second dimensions of interest.

The spline coefficients represent a 3D spline function defined on a cartesian product of batch_domain and B-splines (basis splines). They can be obtained via various methods, such as using a SplineBuilder3D.

This is not a nD cross-differentiation. This is a batched 3D cross-differentiation. This means that for each slice of coordinates identified by a batch_domain_type::discrete_element_type, the cross-differentiation is performed with the 3D set of spline coefficients identified by the same batch_domain_type::discrete_element_type.

Parameters

[out]	spline_eval	The cross-derivatives of the 3D spline function at the desired coordinates. For practical reasons those are stored in a ChunkSpan defined on a batched_evaluation_domain_type.
[in]	coords_eval	The coordinates where the spline is differentiated. Those are stored in a ChunkSpan defined on a batched_evaluation_domain_type. Note that the coordinates of the points represented by this domain are unused and irrelevant (but the points themselves (DiscreteElement) are used to select the set of 3D spline coefficients retained to perform the evaluation).
[in]	spline_coef	A ChunkSpan storing the 3D spline coefficients.

Definition at line 1299 of file spline_evaluator_3d.hpp.

◆ deriv_1_and_2() [3/3]

template<class Layout1 , class Layout2 , class BatchedInterpolationDDom >

void ddc::SplineEvaluator3D< ExecSpace, MemorySpace, BSplines1, BSplines2, BSplines3, EvaluationDDim1, EvaluationDDim2, EvaluationDDim3, LowerExtrapolationRule1, UpperExtrapolationRule1, LowerExtrapolationRule2, UpperExtrapolationRule2, LowerExtrapolationRule3, UpperExtrapolationRule3 >::deriv_1_and_2	(	ddc::ChunkSpan< double, BatchedInterpolationDDom, Layout1, memory_space > const	spline_eval,
		ddc::ChunkSpan< double const, batched_spline_domain_type< BatchedInterpolationDDom >, Layout2, memory_space > const	spline_coef
	)		const

inline

Cross-differentiate 3D spline function (described by its spline coefficients) on a mesh along the first and second dimensions of interest.

The spline coefficients represent a 3D spline function defined on a cartesian product of batch_domain and B-splines (basis splines). They can be obtained via various methods, such as using a SplineBuilder3D.

This is not a multidimensional evaluation. This is a batched 3D evaluation. This means that for each slice of spline_eval the evaluation is performed with the 3D set of spline coefficients identified by the same batch_domain_type::discrete_element_type.

Parameters

[out]	spline_eval	The cross-derivatives of the 3D spline function at the desired coordinates.
[in]	spline_coef	A ChunkSpan storing the 3D spline coefficients.

Definition at line 1354 of file spline_evaluator_3d.hpp.

◆ deriv_2_and_3() [2/3]

template<class Layout1 , class Layout2 , class Layout3 , class BatchedInterpolationDDom , class... CoordsDims>

void ddc::SplineEvaluator3D< ExecSpace, MemorySpace, BSplines1, BSplines2, BSplines3, EvaluationDDim1, EvaluationDDim2, EvaluationDDim3, LowerExtrapolationRule1, UpperExtrapolationRule1, LowerExtrapolationRule2, UpperExtrapolationRule2, LowerExtrapolationRule3, UpperExtrapolationRule3 >::deriv_2_and_3	(	ddc::ChunkSpan< double, BatchedInterpolationDDom, Layout1, memory_space > const	spline_eval,
		ddc::ChunkSpan< ddc::Coordinate< CoordsDims... > const, BatchedInterpolationDDom, Layout2, memory_space > const	coords_eval,
		ddc::ChunkSpan< double const, batched_spline_domain_type< BatchedInterpolationDDom >, Layout3, memory_space > const	spline_coef
	)		const

inline

Cross-differentiate 3D spline function (described by its spline coefficients) on a mesh along the second and third dimensions of interest.

The spline coefficients represent a 3D spline function defined on a cartesian product of batch_domain and B-splines (basis splines). They can be obtained via various methods, such as using a SplineBuilder3D.

This is not a nD cross-differentiation. This is a batched 3D cross-differentiation. This means that for each slice of coordinates identified by a batch_domain_type::discrete_element_type, the cross-differentiation is performed with the 3D set of spline coefficients identified by the same batch_domain_type::discrete_element_type.

Parameters

[out]	spline_eval	The cross-derivatives of the 3D spline function at the desired coordinates. For practical reasons those are stored in a ChunkSpan defined on a batched_evaluation_domain_type.
[in]	coords_eval	The coordinates where the spline is differentiated. Those are stored in a ChunkSpan defined on a batched_evaluation_domain_type. Note that the coordinates of the points represented by this domain are unused and irrelevant (but the points themselves (DiscreteElement) are used to select the set of 3D spline coefficients retained to perform the evaluation).
[in]	spline_coef	A ChunkSpan storing the 3D spline coefficients.

Definition at line 1421 of file spline_evaluator_3d.hpp.

◆ deriv_2_and_3() [3/3]

template<class Layout1 , class Layout2 , class BatchedInterpolationDDom >

void ddc::SplineEvaluator3D< ExecSpace, MemorySpace, BSplines1, BSplines2, BSplines3, EvaluationDDim1, EvaluationDDim2, EvaluationDDim3, LowerExtrapolationRule1, UpperExtrapolationRule1, LowerExtrapolationRule2, UpperExtrapolationRule2, LowerExtrapolationRule3, UpperExtrapolationRule3 >::deriv_2_and_3	(	ddc::ChunkSpan< double, BatchedInterpolationDDom, Layout1, memory_space > const	spline_eval,
		ddc::ChunkSpan< double const, batched_spline_domain_type< BatchedInterpolationDDom >, Layout2, memory_space > const	spline_coef
	)		const

inline

Cross-differentiate 3D spline function (described by its spline coefficients) on a mesh along the second and third dimensions of interest.

The spline coefficients represent a 3D spline function defined on a cartesian product of batch_domain and B-splines (basis splines). They can be obtained via various methods, such as using a SplineBuilder3D.

This is not a multidimensional evaluation. This is a batched 3D evaluation. This means that for each slice of spline_eval the evaluation is performed with the 3D set of spline coefficients identified by the same batch_domain_type::discrete_element_type.

Parameters

[out]	spline_eval	The cross-derivatives of the 3D spline function at the desired coordinates.
[in]	spline_coef	A ChunkSpan storing the 3D spline coefficients.

Definition at line 1476 of file spline_evaluator_3d.hpp.

◆ deriv_1_and_3() [2/3]

template<class Layout1 , class Layout2 , class Layout3 , class BatchedInterpolationDDom , class... CoordsDims>

void ddc::SplineEvaluator3D< ExecSpace, MemorySpace, BSplines1, BSplines2, BSplines3, EvaluationDDim1, EvaluationDDim2, EvaluationDDim3, LowerExtrapolationRule1, UpperExtrapolationRule1, LowerExtrapolationRule2, UpperExtrapolationRule2, LowerExtrapolationRule3, UpperExtrapolationRule3 >::deriv_1_and_3	(	ddc::ChunkSpan< double, BatchedInterpolationDDom, Layout1, memory_space > const	spline_eval,
		ddc::ChunkSpan< ddc::Coordinate< CoordsDims... > const, BatchedInterpolationDDom, Layout2, memory_space > const	coords_eval,
		ddc::ChunkSpan< double const, batched_spline_domain_type< BatchedInterpolationDDom >, Layout3, memory_space > const	spline_coef
	)		const

inline

Cross-differentiate 3D spline function (described by its spline coefficients) on a mesh along the first and third dimensions of interest.

The spline coefficients represent a 3D spline function defined on a cartesian product of batch_domain and B-splines (basis splines). They can be obtained via various methods, such as using a SplineBuilder3D.

This is not a nD cross-differentiation. This is a batched 3D cross-differentiation. This means that for each slice of coordinates identified by a batch_domain_type::discrete_element_type, the cross-differentiation is performed with the 3D set of spline coefficients identified by the same batch_domain_type::discrete_element_type.

Parameters

[out]	spline_eval	The cross-derivatives of the 3D spline function at the desired coordinates. For practical reasons those are stored in a ChunkSpan defined on a batched_evaluation_domain_type.
[in]	coords_eval	The coordinates where the spline is differentiated. Those are stored in a ChunkSpan defined on a batched_evaluation_domain_type. Note that the coordinates of the points represented by this domain are unused and irrelevant (but the points themselves (DiscreteElement) are used to select the set of 3D spline coefficients retained to perform the evaluation).
[in]	spline_coef	A ChunkSpan storing the 3D spline coefficients.

Definition at line 1543 of file spline_evaluator_3d.hpp.

◆ deriv_1_and_3() [3/3]

template<class Layout1 , class Layout2 , class BatchedInterpolationDDom >

void ddc::SplineEvaluator3D< ExecSpace, MemorySpace, BSplines1, BSplines2, BSplines3, EvaluationDDim1, EvaluationDDim2, EvaluationDDim3, LowerExtrapolationRule1, UpperExtrapolationRule1, LowerExtrapolationRule2, UpperExtrapolationRule2, LowerExtrapolationRule3, UpperExtrapolationRule3 >::deriv_1_and_3	(	ddc::ChunkSpan< double, BatchedInterpolationDDom, Layout1, memory_space > const	spline_eval,
		ddc::ChunkSpan< double const, batched_spline_domain_type< BatchedInterpolationDDom >, Layout2, memory_space > const	spline_coef
	)		const

inline

Cross-differentiate 3D spline function (described by its spline coefficients) on a mesh along the first and third dimensions of interest.

The spline coefficients represent a 3D spline function defined on a cartesian product of batch_domain and B-splines (basis splines). They can be obtained via various methods, such as using a SplineBuilder3D.

This is not a multidimensional evaluation. This is a batched 3D evaluation. This means that for each slice of spline_eval the evaluation is performed with the 3D set of spline coefficients identified by the same batch_domain_type::discrete_element_type.

Parameters

[out]	spline_eval	The cross-derivatives of the 3D spline function at the desired coordinates.
[in]	spline_coef	A ChunkSpan storing the 3D spline coefficients.

Definition at line 1598 of file spline_evaluator_3d.hpp.

◆ deriv_1_2_3() [2/3]

template<class Layout1 , class Layout2 , class Layout3 , class BatchedInterpolationDDom , class... CoordsDims>

void ddc::SplineEvaluator3D< ExecSpace, MemorySpace, BSplines1, BSplines2, BSplines3, EvaluationDDim1, EvaluationDDim2, EvaluationDDim3, LowerExtrapolationRule1, UpperExtrapolationRule1, LowerExtrapolationRule2, UpperExtrapolationRule2, LowerExtrapolationRule3, UpperExtrapolationRule3 >::deriv_1_2_3	(	ddc::ChunkSpan< double, BatchedInterpolationDDom, Layout1, memory_space > const	spline_eval,
		ddc::ChunkSpan< ddc::Coordinate< CoordsDims... > const, BatchedInterpolationDDom, Layout2, memory_space > const	coords_eval,
		ddc::ChunkSpan< double const, batched_spline_domain_type< BatchedInterpolationDDom >, Layout3, memory_space > const	spline_coef
	)		const

inline

Cross-differentiate 3D spline function (described by its spline coefficients) on a mesh along the dimensions of interest.

The spline coefficients represent a 3D spline function defined on a cartesian product of batch_domain and B-splines (basis splines). They can be obtained via various methods, such as using a SplineBuilder3D.

This is not a nD cross-differentiation. This is a batched 3D cross-differentiation. This means that for each slice of coordinates identified by a batch_domain_type::discrete_element_type, the cross-differentiation is performed with the 3D set of spline coefficients identified by the same batch_domain_type::discrete_element_type.

Parameters

[out]	spline_eval	The cross-derivatives of the 3D spline function at the desired coordinates. For practical reasons those are stored in a ChunkSpan defined on a batched_evaluation_domain_type.
[in]	coords_eval	The coordinates where the spline is differentiated. Those are stored in a ChunkSpan defined on a batched_evaluation_domain_type. Note that the coordinates of the points represented by this domain are unused and irrelevant (but the points themselves (DiscreteElement) are used to select the set of 3D spline coefficients retained to perform the evaluation).
[in]	spline_coef	A ChunkSpan storing the 3D spline coefficients.

Definition at line 1665 of file spline_evaluator_3d.hpp.

◆ deriv_1_2_3() [3/3]

template<class Layout1 , class Layout2 , class BatchedInterpolationDDom >

void ddc::SplineEvaluator3D< ExecSpace, MemorySpace, BSplines1, BSplines2, BSplines3, EvaluationDDim1, EvaluationDDim2, EvaluationDDim3, LowerExtrapolationRule1, UpperExtrapolationRule1, LowerExtrapolationRule2, UpperExtrapolationRule2, LowerExtrapolationRule3, UpperExtrapolationRule3 >::deriv_1_2_3	(	ddc::ChunkSpan< double, BatchedInterpolationDDom, Layout1, memory_space > const	spline_eval,
		ddc::ChunkSpan< double const, batched_spline_domain_type< BatchedInterpolationDDom >, Layout2, memory_space > const	spline_coef
	)		const

inline

Cross-differentiate 3D spline function (described by its spline coefficients) on a mesh along the dimensions of interest.

The spline coefficients represent a 3D spline function defined on a cartesian product of batch_domain and B-splines (basis splines). They can be obtained via various methods, such as using a SplineBuilder3D.

This is not a multidimensional evaluation. This is a batched 3D evaluation. This means that for each slice of spline_eval the evaluation is performed with the 3D set of spline coefficients identified by the same batch_domain_type::discrete_element_type.

Parameters

[out]	spline_eval	The cross-derivatives of the 3D spline function at the desired coordinates.
[in]	spline_coef	A ChunkSpan storing the 3D spline coefficients.

Definition at line 1722 of file spline_evaluator_3d.hpp.

◆ deriv() [2/3]

template<class InterestDim , class Layout1 , class Layout2 , class Layout3 , class BatchedInterpolationDDom , class... CoordsDims>

void ddc::SplineEvaluator3D< ExecSpace, MemorySpace, BSplines1, BSplines2, BSplines3, EvaluationDDim1, EvaluationDDim2, EvaluationDDim3, LowerExtrapolationRule1, UpperExtrapolationRule1, LowerExtrapolationRule2, UpperExtrapolationRule2, LowerExtrapolationRule3, UpperExtrapolationRule3 >::deriv	(	ddc::ChunkSpan< double, BatchedInterpolationDDom, Layout1, memory_space > const	spline_eval,
		ddc::ChunkSpan< ddc::Coordinate< CoordsDims... > const, BatchedInterpolationDDom, Layout2, memory_space > const	coords_eval,
		ddc::ChunkSpan< double const, batched_spline_domain_type< BatchedInterpolationDDom >, Layout3, memory_space > const	spline_coef
	)		const

inline

Differentiate spline function (described by its spline coefficients) on a mesh along a specified dimension of interest.

The spline coefficients represent a 3D spline function defined on a cartesian product of batch_domain and B-splines (basis splines). They can be obtained via various methods, such as using a SplineBuilder3D.

This is not a nD evaluation. This is a batched 3D differentiation. This means that for each slice of coordinates identified by a batch_domain_type::discrete_element_type, the differentiation is performed with the 3D set of spline coefficients identified by the same batch_domain_type::discrete_element_type.

Template Parameters

InterestDim Dimension along which differentiation is performed.

Parameters

[out]	spline_eval	The derivatives of the 3D spline function at the desired coordinates. For practical reasons those are stored in a ChunkSpan defined on a batched_evaluation_domain_type.
[in]	coords_eval	The coordinates where the spline is differentiated. Those are stored in a ChunkSpan defined on a batched_evaluation_domain_type. Note that the coordinates of the points represented by this domain are unused and irrelevant (but the points themselves (DiscreteElement) are used to select the set of 3D spline coefficients retained to perform the evaluation).
[in]	spline_coef	A ChunkSpan storing the 3D spline coefficients.

Definition at line 1791 of file spline_evaluator_3d.hpp.

◆ deriv() [3/3]

template<class InterestDim , class Layout1 , class Layout2 , class BatchedInterpolationDDom >

void ddc::SplineEvaluator3D< ExecSpace, MemorySpace, BSplines1, BSplines2, BSplines3, EvaluationDDim1, EvaluationDDim2, EvaluationDDim3, LowerExtrapolationRule1, UpperExtrapolationRule1, LowerExtrapolationRule2, UpperExtrapolationRule2, LowerExtrapolationRule3, UpperExtrapolationRule3 >::deriv	(	ddc::ChunkSpan< double, BatchedInterpolationDDom, Layout1, memory_space > const	spline_eval,
		ddc::ChunkSpan< double const, batched_spline_domain_type< BatchedInterpolationDDom >, Layout2, memory_space > const	spline_coef
	)		const

inline

Differentiate spline function (described by its spline coefficients) on a mesh along a specified dimension of interest.

The spline coefficients represent a 3D spline function defined on a cartesian product of batch_domain and B-splines (basis splines). They can be obtained via various methods, such as using a SplineBuilder3D.

This is not a multidimensional evaluation. This is a batched 3D evaluation. This means that for each slice of spline_eval the evaluation is performed with the 3D set of spline coefficients identified by the same batch_domain_type::discrete_element_type.

Template Parameters

InterestDim Dimension along which differentiation is performed.

Parameters

[out]	spline_eval	The derivatives of the 3D spline function at the desired coordinates.
[in]	spline_coef	A ChunkSpan storing the 3D spline coefficients.

Definition at line 1844 of file spline_evaluator_3d.hpp.

◆ deriv2() [2/3]

template<class InterestDim1 , class InterestDim2 , class Layout1 , class Layout2 , class Layout3 , class BatchedInterpolationDDom , class... CoordsDims>

void ddc::SplineEvaluator3D< ExecSpace, MemorySpace, BSplines1, BSplines2, BSplines3, EvaluationDDim1, EvaluationDDim2, EvaluationDDim3, LowerExtrapolationRule1, UpperExtrapolationRule1, LowerExtrapolationRule2, UpperExtrapolationRule2, LowerExtrapolationRule3, UpperExtrapolationRule3 >::deriv2	(	ddc::ChunkSpan< double, BatchedInterpolationDDom, Layout1, memory_space > const	spline_eval,
		ddc::ChunkSpan< ddc::Coordinate< CoordsDims... > const, BatchedInterpolationDDom, Layout2, memory_space > const	coords_eval,
		ddc::ChunkSpan< double const, batched_spline_domain_type< BatchedInterpolationDDom >, Layout3, memory_space > const	spline_coef
	)		const

inline

Double-differentiate 3D spline function (described by its spline coefficients) on a mesh along specified dimensions of interest.

The spline coefficients represent a 3D spline function defined on a cartesian product of batch_domain and B-splines (basis splines). They can be obtained via various methods, such as using a SplineBuilder3D.

This is not a nD evaluation. This is a batched 3D differentiation. This means that for each slice of coordinates identified by a batch_domain_type::discrete_element_type, the differentiation is performed with the 3D set of spline coefficients identified by the same batch_domain_type::discrete_element_type.

Note: double-differentiation other than cross-differentiation is not supported atm. See #440

Template Parameters

InterestDim1	First dimension along which differentiation is performed.
InterestDim2	Second dimension along which differentiation is performed.

Parameters

[out]	spline_eval	The derivatives of the 3D spline function at the desired coordinates. For practical reasons those are stored in a ChunkSpan defined on a batched_evaluation_domain_type.
[in]	coords_eval	The coordinates where the spline is differentiated. Those are stored in a ChunkSpan defined on a batched_evaluation_domain_type. Note that the coordinates of the points represented by this domain are unused and irrelevant (but the points themselves (DiscreteElement) are used to select the set of 3D spline coefficients retained to perform the evaluation).
[in]	spline_coef	A ChunkSpan storing the 3D spline coefficients.

Definition at line 1908 of file spline_evaluator_3d.hpp.

◆ deriv2() [3/3]

template<class InterestDim1 , class InterestDim2 , class Layout1 , class Layout2 , class BatchedInterpolationDDom >

void ddc::SplineEvaluator3D< ExecSpace, MemorySpace, BSplines1, BSplines2, BSplines3, EvaluationDDim1, EvaluationDDim2, EvaluationDDim3, LowerExtrapolationRule1, UpperExtrapolationRule1, LowerExtrapolationRule2, UpperExtrapolationRule2, LowerExtrapolationRule3, UpperExtrapolationRule3 >::deriv2	(	ddc::ChunkSpan< double, BatchedInterpolationDDom, Layout1, memory_space > const	spline_eval,
		ddc::ChunkSpan< double const, batched_spline_domain_type< BatchedInterpolationDDom >, Layout2, memory_space > const	spline_coef
	)		const

inline

Double-differentiate 3D spline function (described by its spline coefficients) on a mesh along specified dimensions of interest.

The spline coefficients represent a 3D spline function defined on a cartesian product of batch_domain and B-splines (basis splines). They can be obtained via various methods, such as using a SplineBuilder3D.

This is not a multidimensional evaluation. This is a batched 3D evaluation. This means that for each slice of spline_eval the evaluation is performed with the 3D set of spline coefficients identified by the same batch_domain_type::discrete_element_type.

Note: double-differentiation other than cross-differentiation is not supported atm. See #440

Template Parameters

InterestDim1	First dimension along which differentiation is performed.
InterestDim2	Second dimension along which differentiation is performed.

Parameters

[out]	spline_eval	The derivatives of the 3D spline function at the desired coordinates.
[in]	spline_coef	A ChunkSpan storing the 3D spline coefficients.

Definition at line 2005 of file spline_evaluator_3d.hpp.

◆ deriv3() [2/3]

template<class InterestDim1 , class InterestDim2 , class InterestDim3 , class Layout1 , class Layout2 , class Layout3 , class BatchedInterpolationDDom , class... CoordsDims>

void ddc::SplineEvaluator3D< ExecSpace, MemorySpace, BSplines1, BSplines2, BSplines3, EvaluationDDim1, EvaluationDDim2, EvaluationDDim3, LowerExtrapolationRule1, UpperExtrapolationRule1, LowerExtrapolationRule2, UpperExtrapolationRule2, LowerExtrapolationRule3, UpperExtrapolationRule3 >::deriv3	(	ddc::ChunkSpan< double, BatchedInterpolationDDom, Layout1, memory_space > const	spline_eval,
		ddc::ChunkSpan< ddc::Coordinate< CoordsDims... > const, BatchedInterpolationDDom, Layout2, memory_space > const	coords_eval,
		ddc::ChunkSpan< double const, batched_spline_domain_type< BatchedInterpolationDDom >, Layout3, memory_space > const	spline_coef
	)		const

inline

Differentiate spline function (described by its spline coefficients) on a mesh along a specified dimensions of interest.

The spline coefficients represent a 3D spline function defined on a cartesian product of batch_domain and B-splines (basis splines). They can be obtained via various methods, such as using a SplineBuilder3D.

This is not a nD evaluation. This is a batched 3D differentiation. This means that for each slice of coordinates identified by a batch_domain_type::discrete_element_type, the differentiation is performed with the 3D set of spline coefficients identified by the same batch_domain_type::discrete_element_type.

Note: triple-differentiation other than cross-differentiation is not supported atm. See #440

Template Parameters

InterestDim1	First dimension along which differentiation is performed.
InterestDim2	Second dimension along which differentiation is performed.
InterestDim3	Third dimension along which differentiation is performed.

Parameters

[out]	spline_eval	The derivatives of the 3D spline function at the desired coordinates. For practical reasons those are stored in a ChunkSpan defined on a batched_evaluation_domain_type.
[in]	coords_eval	The coordinates where the spline is differentiated. Those are stored in a ChunkSpan defined on a batched_evaluation_domain_type. Note that the coordinates of the points represented by this domain are unused and irrelevant (but the points themselves (DiscreteElement) are used to select the set of 3D spline coefficients retained to perform the evaluation).
[in]	spline_coef	A ChunkSpan storing the 3D spline coefficients.

Definition at line 2106 of file spline_evaluator_3d.hpp.

◆ deriv3() [3/3]

template<class InterestDim1 , class InterestDim2 , class InterestDim3 , class Layout1 , class Layout2 , class BatchedInterpolationDDom >

void ddc::SplineEvaluator3D< ExecSpace, MemorySpace, BSplines1, BSplines2, BSplines3, EvaluationDDim1, EvaluationDDim2, EvaluationDDim3, LowerExtrapolationRule1, UpperExtrapolationRule1, LowerExtrapolationRule2, UpperExtrapolationRule2, LowerExtrapolationRule3, UpperExtrapolationRule3 >::deriv3	(	ddc::ChunkSpan< double, BatchedInterpolationDDom, Layout1, memory_space > const	spline_eval,
		ddc::ChunkSpan< double const, batched_spline_domain_type< BatchedInterpolationDDom >, Layout2, memory_space > const	spline_coef
	)		const

inline

Differentiate spline function (described by its spline coefficients) on a mesh along specified dimensions of interest.

The spline coefficients represent a 3D spline function defined on a cartesian product of batch_domain and B-splines (basis splines). They can be obtained via various methods, such as using a SplineBuilder3D.

This is not a multidimensional evaluation. This is a batched 3D evaluation. This means that for each slice of spline_eval the evaluation is performed with the 3D set of spline coefficients identified by the same batch_domain_type::discrete_element_type.

Note: triple-differentiation other than cross-differentiation is not supported atm. See #440

Template Parameters

InterestDim1	First dimension along which differentiation is performed.
InterestDim2	Second dimension along which differentiation is performed.
InterestDim3	Third dimension along which differentiation is performed.

Parameters

[out]	spline_eval	The derivatives of the 3D spline function at the desired coordinates.
[in]	spline_coef	A ChunkSpan storing the 3D spline coefficients.

Definition at line 2166 of file spline_evaluator_3d.hpp.

◆ integrate()

template<class Layout1 , class Layout2 , class BatchedDDom , class BatchedSplineDDom >

void ddc::SplineEvaluator3D< ExecSpace, MemorySpace, BSplines1, BSplines2, BSplines3, EvaluationDDim1, EvaluationDDim2, EvaluationDDim3, LowerExtrapolationRule1, UpperExtrapolationRule1, LowerExtrapolationRule2, UpperExtrapolationRule2, LowerExtrapolationRule3, UpperExtrapolationRule3 >::integrate	(	ddc::ChunkSpan< double, BatchedDDom, Layout1, memory_space > const	integrals,
		ddc::ChunkSpan< double const, BatchedSplineDDom, Layout2, memory_space > const	spline_coef
	)		const

inline

Perform batched 3D integrations of a spline function (described by its spline coefficients) along the dimensions of interest and store results on a subdomain of batch_domain.

The spline coefficients represent a 3D spline function defined on a B-splines (basis splines). They can be obtained via various methods, such as using a SplineBuilder3D.

This is not a nD integration. This is a batched 3D integration. This means that for each element of integrals, the integration is performed with the 3D set of spline coefficients identified by the same DiscreteElement.

Parameters

[out]	integrals	The integrals of the 3D spline function on the subdomain of batch_domain. For practical reasons those are stored in a ChunkSpan defined on a batch_domain_type. Note that the coordinates of the points represented by this domain are unused and irrelevant.
[in]	spline_coef	A ChunkSpan storing the 3D spline coefficients.

Definition at line 2209 of file spline_evaluator_3d.hpp.

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

spline_evaluator_3d.hpp

Public Types

Public Member Functions

Detailed Description

Member Typedef Documentation

◆ continuous_dimension_type1

◆ continuous_dimension_type2

◆ continuous_dimension_type3

◆ exec_space

◆ memory_space

◆ evaluation_discrete_dimension_type1

◆ evaluation_discrete_dimension_type2

◆ evaluation_discrete_dimension_type3

◆ bsplines_type1

◆ bsplines_type2

◆ bsplines_type3

◆ evaluation_domain_type1

◆ evaluation_domain_type2

◆ evaluation_domain_type3

◆ evaluation_domain_type

◆ batched_evaluation_domain_type

◆ spline_domain_type1

◆ spline_domain_type2

◆ spline_domain_type3

◆ spline_domain_type

◆ batch_domain_type

◆ batched_spline_domain_type

◆ lower_extrapolation_rule_1_type

◆ upper_extrapolation_rule_1_type

◆ lower_extrapolation_rule_2_type

◆ upper_extrapolation_rule_2_type

◆ lower_extrapolation_rule_3_type

◆ upper_extrapolation_rule_3_type

Constructor & Destructor Documentation

◆ SplineEvaluator3D() [1/3]

◆ SplineEvaluator3D() [2/3]

◆ SplineEvaluator3D() [3/3]

◆ ~SplineEvaluator3D()

Member Function Documentation

◆ operator=() [1/2]

◆ operator=() [2/2]

◆ lower_extrapolation_rule_dim_1()

◆ upper_extrapolation_rule_dim_1()

◆ lower_extrapolation_rule_dim_2()

◆ upper_extrapolation_rule_dim_2()

◆ lower_extrapolation_rule_dim_3()

◆ upper_extrapolation_rule_dim_3()

◆ operator()() [1/3]

◆ operator()() [2/3]

◆ operator()() [3/3]

◆ deriv_dim_1() [1/3]

◆ deriv_dim_2() [1/3]

◆ deriv_dim_3() [1/3]

◆ deriv_1_and_2() [1/3]

◆ deriv_2_and_3() [1/3]

◆ deriv_1_and_3() [1/3]

◆ deriv_1_2_3() [1/3]

◆ deriv() [1/3]

◆ deriv2() [1/3]

◆ deriv3() [1/3]

◆ deriv_dim_1() [2/3]

◆ deriv_dim_1() [3/3]

◆ deriv_dim_2() [2/3]

◆ deriv_dim_2() [3/3]

◆ deriv_dim_3() [2/3]

◆ deriv_dim_3() [3/3]

◆ deriv_1_and_2() [2/3]

◆ deriv_1_and_2() [3/3]

◆ deriv_2_and_3() [2/3]

◆ deriv_2_and_3() [3/3]

◆ deriv_1_and_3() [2/3]

◆ deriv_1_and_3() [3/3]

◆ deriv_1_2_3() [2/3]

◆ deriv_1_2_3() [3/3]

◆ deriv() [2/3]

◆ deriv() [3/3]

◆ deriv2() [2/3]

◆ deriv2() [3/3]

◆ deriv3() [2/3]

◆ deriv3() [3/3]

◆ integrate()