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

#include <spline_evaluator.hpp>

Collaboration diagram for ddc::SplineEvaluator< ExecSpace, MemorySpace, BSplines, EvaluationDDim, LowerExtrapolationRule, UpperExtrapolationRule, DDimX >:

Public Types
using	exec_space = ExecSpace
	The type of the Kokkos execution space used by this class.

using	memory_space = MemorySpace
	The type of the Kokkos memory space used by this class.

using	continuous_dimension_type = typename BSplines::continuous_dimension_type
	The type of the evaluation continuous dimension (continuous dimension of interest) used by this class.

using	evaluation_discrete_dimension_type = EvaluationDDim
	The type of the evaluation discrete dimension (discrete dimension of interest) used by this class.

using	bsplines_type = BSplines
	The discrete dimension representing the B-splines.

using	evaluation_domain_type = ddc::DiscreteDomain< evaluation_discrete_dimension_type >
	The type of the domain for the 1D evaluation mesh used by this class.

using	batched_evaluation_domain_type = ddc::DiscreteDomain< DDimX... >
	The type of the whole domain representing evaluation points.

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

using	batch_domain_type = ddc::remove_dims_of_t< batched_evaluation_domain_type, evaluation_discrete_dimension_type >
	The type of the batch domain (obtained by removing the dimension of interest from the whole domain).

using	batched_spline_domain_type = ddc::replace_dim_of_t< batched_evaluation_domain_type, evaluation_discrete_dimension_type, bsplines_type >
	The type of the whole spline domain (cartesian product of 1D spline domain and batch domain) preserving the order of dimensions.

using	lower_extrapolation_rule_type = LowerExtrapolationRule
	The type of the extrapolation rule at the lower boundary.

using	upper_extrapolation_rule_type = UpperExtrapolationRule
	The type of the extrapolation rule at the upper boundary.

Public Member Functions
	SplineEvaluator (LowerExtrapolationRule const &lower_extrap_rule, UpperExtrapolationRule const &upper_extrap_rule)
	Build a SplineEvaluator acting on batched_spline_domain.

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

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

	~SplineEvaluator ()=default
	Destructs.

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

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

lower_extrapolation_rule_type	lower_extrapolation_rule () const
	Get the lower extrapolation rule.

upper_extrapolation_rule_type	upper_extrapolation_rule () const
	Get the upper extrapolation rule.

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 1D spline function (described by its spline coefficients) at a given coordinate.

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

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

template<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 1D spline function (described by its spline coefficients) at a given coordinate.

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

template<class Layout1 , class Layout2 >
void	deriv (ddc::ChunkSpan< double, batched_evaluation_domain_type, Layout1, memory_space > const spline_eval, ddc::ChunkSpan< double const, batched_spline_domain_type, Layout2, memory_space > const spline_coef) const
	Differentiate spline function (described by its spline coefficients) on a mesh.

template<class Layout1 , class Layout2 >
void	integrate (ddc::ChunkSpan< double, batch_domain_type, Layout1, memory_space > const integrals, ddc::ChunkSpan< double const, batched_spline_domain_type, Layout2, memory_space > const spline_coef) const
	Perform batched 1D integrations of a spline function (described by its spline coefficients) along the dimension of interest and store results on a subdomain of batch_domain.

Detailed Description

template<class ExecSpace, class MemorySpace, class BSplines, class EvaluationDDim, class LowerExtrapolationRule, class UpperExtrapolationRule, class... DDimX>
class ddc::SplineEvaluator< ExecSpace, MemorySpace, BSplines, EvaluationDDim, LowerExtrapolationRule, UpperExtrapolationRule, DDimX >

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

A class which contains an operator () which can be used to evaluate, differentiate or integrate a 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.
BSplines	The discrete dimension representing the B-splines.
EvaluationDDim	The discrete dimension on which evaluation points are defined.
LowerExtrapolationRule	The lower extrapolation rule type.
UpperExtrapolationRule	The upper extrapolation rule type.
DDimX	A variadic template of all the discrete dimensions forming the full space (EvaluationDDim + batched dimensions).

Definition at line 42 of file spline_evaluator.hpp.

Member Typedef Documentation

◆ exec_space

template<class ExecSpace , class MemorySpace , class BSplines , class EvaluationDDim , class LowerExtrapolationRule , class UpperExtrapolationRule , class... DDimX>

using ddc::SplineEvaluator< ExecSpace, MemorySpace, BSplines, EvaluationDDim, LowerExtrapolationRule, UpperExtrapolationRule, DDimX >::exec_space = ExecSpace

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

Definition at line 61 of file spline_evaluator.hpp.

◆ memory_space

template<class ExecSpace , class MemorySpace , class BSplines , class EvaluationDDim , class LowerExtrapolationRule , class UpperExtrapolationRule , class... DDimX>

using ddc::SplineEvaluator< ExecSpace, MemorySpace, BSplines, EvaluationDDim, LowerExtrapolationRule, UpperExtrapolationRule, DDimX >::memory_space = MemorySpace

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

Definition at line 64 of file spline_evaluator.hpp.

◆ continuous_dimension_type

template<class ExecSpace , class MemorySpace , class BSplines , class EvaluationDDim , class LowerExtrapolationRule , class UpperExtrapolationRule , class... DDimX>

using ddc::SplineEvaluator< ExecSpace, MemorySpace, BSplines, EvaluationDDim, LowerExtrapolationRule, UpperExtrapolationRule, DDimX >::continuous_dimension_type = typename BSplines::continuous_dimension_type

The type of the evaluation continuous dimension (continuous dimension of interest) used by this class.

Definition at line 67 of file spline_evaluator.hpp.

◆ evaluation_discrete_dimension_type

template<class ExecSpace , class MemorySpace , class BSplines , class EvaluationDDim , class LowerExtrapolationRule , class UpperExtrapolationRule , class... DDimX>

using ddc::SplineEvaluator< ExecSpace, MemorySpace, BSplines, EvaluationDDim, LowerExtrapolationRule, UpperExtrapolationRule, DDimX >::evaluation_discrete_dimension_type = EvaluationDDim

The type of the evaluation discrete dimension (discrete dimension of interest) used by this class.

Definition at line 70 of file spline_evaluator.hpp.

◆ bsplines_type

template<class ExecSpace , class MemorySpace , class BSplines , class EvaluationDDim , class LowerExtrapolationRule , class UpperExtrapolationRule , class... DDimX>

using ddc::SplineEvaluator< ExecSpace, MemorySpace, BSplines, EvaluationDDim, LowerExtrapolationRule, UpperExtrapolationRule, DDimX >::bsplines_type = BSplines

The discrete dimension representing the B-splines.

Definition at line 73 of file spline_evaluator.hpp.

◆ evaluation_domain_type

template<class ExecSpace , class MemorySpace , class BSplines , class EvaluationDDim , class LowerExtrapolationRule , class UpperExtrapolationRule , class... DDimX>

using ddc::SplineEvaluator< ExecSpace, MemorySpace, BSplines, EvaluationDDim, LowerExtrapolationRule, UpperExtrapolationRule, DDimX >::evaluation_domain_type = ddc::DiscreteDomain<evaluation_discrete_dimension_type>

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

Definition at line 76 of file spline_evaluator.hpp.

◆ batched_evaluation_domain_type

template<class ExecSpace , class MemorySpace , class BSplines , class EvaluationDDim , class LowerExtrapolationRule , class UpperExtrapolationRule , class... DDimX>

using ddc::SplineEvaluator< ExecSpace, MemorySpace, BSplines, EvaluationDDim, LowerExtrapolationRule, UpperExtrapolationRule, DDimX >::batched_evaluation_domain_type = ddc::DiscreteDomain<DDimX...>

The type of the whole domain representing evaluation points.

Definition at line 79 of file spline_evaluator.hpp.

◆ spline_domain_type

template<class ExecSpace , class MemorySpace , class BSplines , class EvaluationDDim , class LowerExtrapolationRule , class UpperExtrapolationRule , class... DDimX>

using ddc::SplineEvaluator< ExecSpace, MemorySpace, BSplines, EvaluationDDim, LowerExtrapolationRule, UpperExtrapolationRule, DDimX >::spline_domain_type = ddc::DiscreteDomain<bsplines_type>

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

Definition at line 82 of file spline_evaluator.hpp.

◆ batch_domain_type

template<class ExecSpace , class MemorySpace , class BSplines , class EvaluationDDim , class LowerExtrapolationRule , class UpperExtrapolationRule , class... DDimX>

using ddc::SplineEvaluator< ExecSpace, MemorySpace, BSplines, EvaluationDDim, LowerExtrapolationRule, UpperExtrapolationRule, DDimX >::batch_domain_type = ddc:: remove_dims_of_t<batched_evaluation_domain_type, evaluation_discrete_dimension_type>

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

Definition at line 88 of file spline_evaluator.hpp.

◆ batched_spline_domain_type

template<class ExecSpace , class MemorySpace , class BSplines , class EvaluationDDim , class LowerExtrapolationRule , class UpperExtrapolationRule , class... DDimX>

using ddc::SplineEvaluator< ExecSpace, MemorySpace, BSplines, EvaluationDDim, LowerExtrapolationRule, UpperExtrapolationRule, DDimX >::batched_spline_domain_type = ddc::replace_dim_of_t< batched_evaluation_domain_type, evaluation_discrete_dimension_type, bsplines_type>

The type of the whole spline domain (cartesian product of 1D spline domain and batch domain) preserving the order of dimensions.

Definition at line 95 of file spline_evaluator.hpp.

◆ lower_extrapolation_rule_type

template<class ExecSpace , class MemorySpace , class BSplines , class EvaluationDDim , class LowerExtrapolationRule , class UpperExtrapolationRule , class... DDimX>

using ddc::SplineEvaluator< ExecSpace, MemorySpace, BSplines, EvaluationDDim, LowerExtrapolationRule, UpperExtrapolationRule, DDimX >::lower_extrapolation_rule_type = LowerExtrapolationRule

The type of the extrapolation rule at the lower boundary.

Definition at line 101 of file spline_evaluator.hpp.

◆ upper_extrapolation_rule_type

template<class ExecSpace , class MemorySpace , class BSplines , class EvaluationDDim , class LowerExtrapolationRule , class UpperExtrapolationRule , class... DDimX>

using ddc::SplineEvaluator< ExecSpace, MemorySpace, BSplines, EvaluationDDim, LowerExtrapolationRule, UpperExtrapolationRule, DDimX >::upper_extrapolation_rule_type = UpperExtrapolationRule

The type of the extrapolation rule at the upper boundary.

Definition at line 104 of file spline_evaluator.hpp.

Constructor & Destructor Documentation

◆ SplineEvaluator() [1/3]

template<class ExecSpace , class MemorySpace , class BSplines , class EvaluationDDim , class LowerExtrapolationRule , class UpperExtrapolationRule , class... DDimX>

ddc::SplineEvaluator< ExecSpace, MemorySpace, BSplines, EvaluationDDim, LowerExtrapolationRule, UpperExtrapolationRule, DDimX >::SplineEvaluator	(	LowerExtrapolationRule const &	lower_extrap_rule,
		UpperExtrapolationRule const &	upper_extrap_rule
	)

inlineexplicit

Build a SplineEvaluator acting on batched_spline_domain.

Parameters

lower_extrap_rule	The extrapolation rule at the lower boundary.
upper_extrap_rule	The extrapolation rule at the upper boundary.

See also: NullExtrapolationRule ConstantExtrapolationRule PeriodicExtrapolationRule

Definition at line 153 of file spline_evaluator.hpp.

◆ SplineEvaluator() [2/3]

template<class ExecSpace , class MemorySpace , class BSplines , class EvaluationDDim , class LowerExtrapolationRule , class UpperExtrapolationRule , class... DDimX>

ddc::SplineEvaluator< ExecSpace, MemorySpace, BSplines, EvaluationDDim, LowerExtrapolationRule, UpperExtrapolationRule, DDimX >::SplineEvaluator ( SplineEvaluator< ExecSpace, MemorySpace, BSplines, EvaluationDDim, LowerExtrapolationRule, UpperExtrapolationRule, DDimX > const & x )

default

Copy-constructs.

Parameters

x	A reference to another SplineEvaluator.

◆ SplineEvaluator() [3/3]

template<class ExecSpace , class MemorySpace , class BSplines , class EvaluationDDim , class LowerExtrapolationRule , class UpperExtrapolationRule , class... DDimX>

ddc::SplineEvaluator< ExecSpace, MemorySpace, BSplines, EvaluationDDim, LowerExtrapolationRule, UpperExtrapolationRule, DDimX >::SplineEvaluator ( SplineEvaluator< ExecSpace, MemorySpace, BSplines, EvaluationDDim, LowerExtrapolationRule, UpperExtrapolationRule, DDimX > && x )

default

Move-constructs.

Parameters

x	An rvalue to another SplineEvaluator.

◆ ~SplineEvaluator()

template<class ExecSpace , class MemorySpace , class BSplines , class EvaluationDDim , class LowerExtrapolationRule , class UpperExtrapolationRule , class... DDimX>

ddc::SplineEvaluator< ExecSpace, MemorySpace, BSplines, EvaluationDDim, LowerExtrapolationRule, UpperExtrapolationRule, DDimX >::~SplineEvaluator ( )

default

Destructs.

Member Function Documentation

◆ operator=() [1/2]

template<class ExecSpace , class MemorySpace , class BSplines , class EvaluationDDim , class LowerExtrapolationRule , class UpperExtrapolationRule , class... DDimX>

SplineEvaluator & ddc::SplineEvaluator< ExecSpace, MemorySpace, BSplines, EvaluationDDim, LowerExtrapolationRule, UpperExtrapolationRule, DDimX >::operator= ( SplineEvaluator< ExecSpace, MemorySpace, BSplines, EvaluationDDim, LowerExtrapolationRule, UpperExtrapolationRule, DDimX > const & x )

default

Copy-assigns.

Parameters

x	A reference to another SplineEvaluator.

Returns: A reference to this object.

◆ operator=() [2/2]

template<class ExecSpace , class MemorySpace , class BSplines , class EvaluationDDim , class LowerExtrapolationRule , class UpperExtrapolationRule , class... DDimX>

SplineEvaluator & ddc::SplineEvaluator< ExecSpace, MemorySpace, BSplines, EvaluationDDim, LowerExtrapolationRule, UpperExtrapolationRule, DDimX >::operator= ( SplineEvaluator< ExecSpace, MemorySpace, BSplines, EvaluationDDim, LowerExtrapolationRule, UpperExtrapolationRule, DDimX > && x )

default

Move-assigns.

Parameters

x	An rvalue to another SplineEvaluator.

Returns: A reference to this object.

◆ lower_extrapolation_rule()

template<class ExecSpace , class MemorySpace , class BSplines , class EvaluationDDim , class LowerExtrapolationRule , class UpperExtrapolationRule , class... DDimX>

lower_extrapolation_rule_type ddc::SplineEvaluator< ExecSpace, MemorySpace, BSplines, EvaluationDDim, LowerExtrapolationRule, UpperExtrapolationRule, DDimX >::lower_extrapolation_rule ( ) const

inline

Get the lower extrapolation rule.

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.

See also: NullExtrapolationRule ConstantExtrapolationRule PeriodicExtrapolationRule

Definition at line 203 of file spline_evaluator.hpp.

◆ upper_extrapolation_rule()

template<class ExecSpace , class MemorySpace , class BSplines , class EvaluationDDim , class LowerExtrapolationRule , class UpperExtrapolationRule , class... DDimX>

upper_extrapolation_rule_type ddc::SplineEvaluator< ExecSpace, MemorySpace, BSplines, EvaluationDDim, LowerExtrapolationRule, UpperExtrapolationRule, DDimX >::upper_extrapolation_rule ( ) const

inline

Get the upper extrapolation rule.

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.

See also: NullExtrapolationRule ConstantExtrapolationRule PeriodicExtrapolationRule

Definition at line 217 of file spline_evaluator.hpp.

◆ operator()() [1/3]

template<class ExecSpace , class MemorySpace , class BSplines , class EvaluationDDim , class LowerExtrapolationRule , class UpperExtrapolationRule , class... DDimX>

template<class Layout , class... CoordsDims>

KOKKOS_FUNCTION double ddc::SplineEvaluator< ExecSpace, MemorySpace, BSplines, EvaluationDDim, LowerExtrapolationRule, UpperExtrapolationRule, DDimX >::operator()	(	ddc::Coordinate< CoordsDims... > const &	coord_eval,
		ddc::ChunkSpan< double const, spline_domain_type, Layout, memory_space > const	spline_coef
	)		const

inline

Evaluate 1D spline function (described by its spline coefficients) at a given coordinate.

The spline coefficients represent a 1D spline function defined on a B-splines (basis splines). They can be obtained via various methods, such as using a SplineBuilder.

Remark: calling SplineBuilder then SplineEvaluator corresponds to a spline interpolation.

Parameters

coord_eval	The coordinate where the spline is evaluated. Note that only the component along the dimension of interest is used.
spline_coef	A ChunkSpan storing the 1D spline coefficients.

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

Definition at line 235 of file spline_evaluator.hpp.

◆ operator()() [2/3]

template<class ExecSpace , class MemorySpace , class BSplines , class EvaluationDDim , class LowerExtrapolationRule , class UpperExtrapolationRule , class... DDimX>

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

void ddc::SplineEvaluator< ExecSpace, MemorySpace, BSplines, EvaluationDDim, LowerExtrapolationRule, UpperExtrapolationRule, DDimX >::operator()	(	ddc::ChunkSpan< double, batched_evaluation_domain_type, Layout1, memory_space > const	spline_eval,
		ddc::ChunkSpan< ddc::Coordinate< CoordsDims... > const, batched_evaluation_domain_type, Layout2, memory_space > const	coords_eval,
		ddc::ChunkSpan< double const, batched_spline_domain_type, Layout3, memory_space > const	spline_coef
	)		const

inline

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

The spline coefficients represent a 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 SplineBuilder.

This is not a multidimensional evaluation. This is a batched 1D evaluation. This means that for each slice of coordinates identified by a batch_domain_type::discrete_element_type, the evaluation is performed with the 1D set of spline coefficients identified by the same batch_domain_type::discrete_element_type.

Remark: calling SplineBuilder then SplineEvaluator corresponds to a spline interpolation.

Parameters

[out]	spline_eval	The values of the 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 1D spline coefficients retained to perform the evaluation).
[in]	spline_coef	A ChunkSpan storing the spline coefficients.

Definition at line 264 of file spline_evaluator.hpp.

◆ operator()() [3/3]

template<class ExecSpace , class MemorySpace , class BSplines , class EvaluationDDim , class LowerExtrapolationRule , class UpperExtrapolationRule , class... DDimX>

template<class Layout1 , class Layout2 >

void ddc::SplineEvaluator< ExecSpace, MemorySpace, BSplines, EvaluationDDim, LowerExtrapolationRule, UpperExtrapolationRule, DDimX >::operator()	(	ddc::ChunkSpan< double, batched_evaluation_domain_type, Layout1, memory_space > const	spline_eval,
		ddc::ChunkSpan< double const, batched_spline_domain_type, Layout2, memory_space > const	spline_coef
	)		const

inline

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

The spline coefficients represent a 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 SplineBuilder.

This is not a multidimensional evaluation. This is a batched 1D evaluation. This means that for each slice of spline_eval the evaluation is performed with the 1D set of spline coefficients identified by the same batch_domain_type::discrete_element_type.

Remark: calling SplineBuilder then SplineEvaluator corresponds to a spline interpolation.

Parameters

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

Definition at line 311 of file spline_evaluator.hpp.

◆ deriv() [1/3]

template<class ExecSpace , class MemorySpace , class BSplines , class EvaluationDDim , class LowerExtrapolationRule , class UpperExtrapolationRule , class... DDimX>

template<class Layout , class... CoordsDims>

KOKKOS_FUNCTION double ddc::SplineEvaluator< ExecSpace, MemorySpace, BSplines, EvaluationDDim, LowerExtrapolationRule, UpperExtrapolationRule, DDimX >::deriv	(	ddc::Coordinate< CoordsDims... > const &	coord_eval,
		ddc::ChunkSpan< double const, spline_domain_type, Layout, memory_space > const	spline_coef
	)		const

inline

Differentiate 1D spline function (described by its spline coefficients) at a given coordinate.

The spline coefficients represent a 1D spline function defined on a B-splines (basis splines). They can be obtained via various methods, such as using a SplineBuilder.

Parameters

coord_eval	The coordinate where the spline is differentiated. Note that only the component along the dimension of interest is used.
spline_coef	A ChunkSpan storing the 1D spline coefficients.

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

Definition at line 347 of file spline_evaluator.hpp.

◆ deriv() [2/3]

template<class ExecSpace , class MemorySpace , class BSplines , class EvaluationDDim , class LowerExtrapolationRule , class UpperExtrapolationRule , class... DDimX>

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

void ddc::SplineEvaluator< ExecSpace, MemorySpace, BSplines, EvaluationDDim, LowerExtrapolationRule, UpperExtrapolationRule, DDimX >::deriv	(	ddc::ChunkSpan< double, batched_evaluation_domain_type, Layout1, memory_space > const	spline_eval,
		ddc::ChunkSpan< ddc::Coordinate< CoordsDims... > const, batched_evaluation_domain_type, Layout2, memory_space > const	coords_eval,
		ddc::ChunkSpan< double const, batched_spline_domain_type, Layout3, memory_space > const	spline_coef
	)		const

inline

Differentiate spline function (described by its spline coefficients) on a mesh.

The spline coefficients represent a 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 SplineBuilder.

The derivation is not performed in a multidimensional way (in any sense). This is a batched 1D derivation. This means that for each slice of coordinates identified by a batch_domain_type::discrete_element_type, the derivation is performed with the 1D set of spline coefficients identified by the same batch_domain_type::discrete_element_type.

Parameters

[out]	spline_eval	The derivatives of the 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 1D spline coefficients retained to perform the evaluation).
[in]	spline_coef	A ChunkSpan storing the spline coefficients.

Definition at line 374 of file spline_evaluator.hpp.

◆ deriv() [3/3]

template<class ExecSpace , class MemorySpace , class BSplines , class EvaluationDDim , class LowerExtrapolationRule , class UpperExtrapolationRule , class... DDimX>

template<class Layout1 , class Layout2 >

void ddc::SplineEvaluator< ExecSpace, MemorySpace, BSplines, EvaluationDDim, LowerExtrapolationRule, UpperExtrapolationRule, DDimX >::deriv	(	ddc::ChunkSpan< double, batched_evaluation_domain_type, Layout1, memory_space > const	spline_eval,
		ddc::ChunkSpan< double const, batched_spline_domain_type, Layout2, memory_space > const	spline_coef
	)		const

inline

Differentiate spline function (described by its spline coefficients) on a mesh.

The spline coefficients represent a 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 SplineBuilder.

The derivation is not performed in a multidimensional way (in any sense). This is a batched 1D derivation. This is not a multidimensional evaluation. This is a batched 1D evaluation. This means that for each slice of spline_eval the evaluation is performed with the 1D set of spline coefficients identified by the same batch_domain_type::discrete_element_type.

Parameters

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

Definition at line 418 of file spline_evaluator.hpp.

◆ integrate()

template<class ExecSpace , class MemorySpace , class BSplines , class EvaluationDDim , class LowerExtrapolationRule , class UpperExtrapolationRule , class... DDimX>

template<class Layout1 , class Layout2 >

void ddc::SplineEvaluator< ExecSpace, MemorySpace, BSplines, EvaluationDDim, LowerExtrapolationRule, UpperExtrapolationRule, DDimX >::integrate	(	ddc::ChunkSpan< double, batch_domain_type, Layout1, memory_space > const	integrals,
		ddc::ChunkSpan< double const, batched_spline_domain_type, Layout2, memory_space > const	spline_coef
	)		const

inline

Perform batched 1D integrations of a spline function (described by its spline coefficients) along the dimension of interest and store results on a subdomain of batch_domain.

The spline coefficients represent a spline function defined on a B-splines (basis splines). They can be obtained via the SplineBuilder.

The integration is not performed in a multidimensional way (in any sense). This is a batched 1D integration. This means that for each element of integrals, the integration is performed with the 1D set of spline coefficients identified by the same DiscreteElement.

Parameters

[out]	integrals	The integrals of the 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 spline coefficients.

Definition at line 457 of file spline_evaluator.hpp.

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

spline_evaluator.hpp

Public Types

Public Member Functions

Detailed Description

Member Typedef Documentation

◆ exec_space

◆ memory_space

◆ continuous_dimension_type

◆ evaluation_discrete_dimension_type

◆ bsplines_type

◆ evaluation_domain_type

◆ batched_evaluation_domain_type

◆ spline_domain_type

◆ batch_domain_type

◆ batched_spline_domain_type

◆ lower_extrapolation_rule_type

◆ upper_extrapolation_rule_type

Constructor & Destructor Documentation

◆ SplineEvaluator() [1/3]

◆ SplineEvaluator() [2/3]

◆ SplineEvaluator() [3/3]

◆ ~SplineEvaluator()

Member Function Documentation

◆ operator=() [1/2]

◆ operator=() [2/2]

◆ lower_extrapolation_rule()

◆ upper_extrapolation_rule()

◆ operator()() [1/3]

◆ operator()() [2/3]

◆ operator()() [3/3]

◆ deriv() [1/3]

◆ deriv() [2/3]

◆ deriv() [3/3]

◆ integrate()