A class to evaluate all the splines of all the patches at once. More...

Classes
struct	eval_deriv_type
	Tag to indicate that derivative of the spline should be evaluated. More...

struct	eval_type
	Tag to indicate that the value of the spline should be evaluated. More...

Public Types
template<class Patch >
using	continuous_dimension_type1 = typename BSpline1OnPatch< Patch >::continuous_dimension_type
	The type of the first evaluation continuous dimension used by this class.

template<class Patch >
using	continuous_dimension_type2 = typename BSpline2OnPatch< Patch >::continuous_dimension_type
	The type of the second 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.

template<class Patch >
using	evaluation_discrete_dimension_type1 = Grid1OnPatch< Patch >
	The type of the first discrete dimension of interest used by this class.

template<class Patch >
using	evaluation_discrete_dimension_type2 = Grid2OnPatch< Patch >
	The type of the second discrete dimension of interest used by this class.

template<class Patch >
using	bsplines_type1 = BSpline1OnPatch< Patch >
	The discrete dimension representing the B-splines along first dimension.

template<class Patch >
using	bsplines_type2 = BSpline2OnPatch< Patch >
	The discrete dimension representing the B-splines along second dimension.

template<class Patch >
using	evaluation_idx_range_type1 = IdxRange< evaluation_discrete_dimension_type1< Patch > >
	The type of the domain for the 1D evaluation mesh along first dimension used by this class.

template<class Patch >
using	evaluation_idx_range_type2 = IdxRange< evaluation_discrete_dimension_type2< Patch > >
	The type of the domain for the 1D evaluation mesh along second dimension used by this class.

template<class Patch >
using	evaluation_idx_range_type = IdxRange< evaluation_discrete_dimension_type1< Patch >, evaluation_discrete_dimension_type2< Patch > >
	The type of the domain for the 2D evaluation mesh used by this class.

template<class Patch >
using	batched_evaluation_idx_range_type = typename ValuesOnPatch< Patch >::discrete_domain_type
	The type of the whole domain representing evaluation points.

template<class Patch >
using	spline_idx_range_type1 = IdxRange< bsplines_type1< Patch > >
	The type of the 1D spline domain corresponding to the first dimension of interest.

template<class Patch >
using	spline_idx_range_type2 = IdxRange< bsplines_type2< Patch > >
	The type of the 1D spline domain corresponding to the second dimension of interest.

template<class Patch >
using	spline_idx_range_type = IdxRange< bsplines_type1< Patch >, bsplines_type2< Patch > >
	The type of the 2D spline domain corresponding to the dimensions of interest.

template<class Patch >
using	SplineCoeffOnPatch = DConstField< spline_idx_range_type< Patch >, MemorySpace >
	Type for MultipatchType: A field of 2D spline coefficients for a non-batched spline defined on both of the Patch's logical dimensions.

Public Member Functions
	MultipatchSplineEvaluator2D (PatchLocator const &patch_locator, ExtrapolationRule const &extrapolation_rule)
	Instantiate a MultipatchSplineEvaluator2D.

template<class Coord >
KOKKOS_FUNCTION double	operator() (Coord const coord_eval, MultipatchSplineCoeff const &patches_splines) const
	Evaluate the 2D splines (described by their spline coefficients) at a given coordinate.

void	operator() (MultipatchValues const &patches_values, MultipatchCoordField const &patches_coords, MultipatchSplineCoeff const &patches_splines) const
	Evaluate 2D splines (described by their spline coefficients) on meshes.

template<class Coord >
KOKKOS_FUNCTION double	deriv_dim_1 (Coord const &coord_eval, MultipatchSplineCoeff const &patches_splines) const
	Differentiate 2D splines (described by their spline coefficients) at a given coordinate along first dimension of interest.

template<class Coord >
KOKKOS_FUNCTION double	deriv_dim_2 (Coord const &coord_eval, MultipatchSplineCoeff const &patches_splines) const
	Differentiate 2D splines (described by their spline coefficients) at a given coordinate along second dimension of interest.

template<class Coord >
KOKKOS_FUNCTION double	deriv_1_and_2 (Coord const &coord_eval, MultipatchSplineCoeff const &patches_splines) const
	Cross-differentiate 2D splines (described by their spline coefficients) at a given coordinate.

template<class InterestDim , class Dim1 , class Dim2 >
KOKKOS_FUNCTION double	deriv (Coord< Dim1, Dim2 > const &coord_eval, MultipatchSplineCoeff const &patches_splines) const
	Differentiate 2D splines (described by their spline coefficients) at a given coordinate along a specified dimension of interest.

void	deriv_dim_1 (MultipatchValues const &patches_deriv_1, MultipatchCoordField const &patches_coords, MultipatchSplineCoeff const &patches_splines) const
	Differentiate 2D splines (described by their spline coefficients) on a meshes along first dimension of interest.

void	deriv_dim_2 (MultipatchValues const &patches_deriv_2, MultipatchCoordField const &patches_coords, MultipatchSplineCoeff const &patches_splines) const
	Differentiate 2D splines (described by their spline coefficients) on a meshes along second dimension of interest.

void	deriv_1_and_2 (MultipatchValues const &patches_deriv_12, MultipatchCoordField const &patches_coords, MultipatchSplineCoeff const &patches_splines) const
	Cross-differentiate 2D splines (described by their spline coefficients) on a meshes.

void	integrate (DKokkosView_h< n_patches > const &integrals, MultipatchSplineCoeff const &patches_splines) const
	Integration of splines (described by their spline coefficients).

template<class EvalType1 , class EvalType2 , class StoringPatch >
void	apply_evaluator (ValuesOnPatch< StoringPatch > const &patch_values, CoordConstFieldOnPatch< StoringPatch > const &patch_coords, MultipatchSplineCoeff const patches_splines) const
	Compute the values or the derivatives of a given patch at the coordinates defined on the given patch.

template<class Patch >
void	apply_integrate (double &integral, SplineCoeffOnPatch< Patch > const &spline_coef) const
	Integrate the spline defined on the given patch.

Static Public Attributes
static constexpr std::size_t	n_patches = ddc::type_seq_size_v<PatchOrdering>
	The number of patches.

Detailed Description

template<class ExecSpace, class MemorySpace, template< typename P > typename BSpline1OnPatch, template< typename P > typename BSpline2OnPatch, template< typename P > typename Grid1OnPatch, template< typename P > typename Grid2OnPatch, class ExtrapolationRule, template< typename P > typename ValuesOnPatch, class PatchLocator, class... Patches>
class MultipatchSplineEvaluator2D< ExecSpace, MemorySpace, BSpline1OnPatch, BSpline2OnPatch, Grid1OnPatch, Grid2OnPatch, ExtrapolationRule, ValuesOnPatch, PatchLocator, Patches >

A class to evaluate all the splines of all the patches at once.

This class computes the evaluations of the splines defined on each pacth at given coordinates. The class does not need to instantiate in advance individual spline evaluators. The coordinates are stored in fields on each patch. On a given storing patch, we do not enforce that a coordinate is physically located on this storing patch. These fields of coordinates can be the result of characteristics equations solving.

This function is useful to avoid calling all the spline evaluators individually, especially in a multipatch geometry with several patches. It also manages to evaluate the right spline at a coordinate physically located on another patch than the storing patch.

Additionally, methods to compute the first derivatives and cross-derivatives are implemented.

Warning: This operator does not work on batched domain.

Template Parameters

ExecSpace	The space (CPU/GPU) where the calculations are carried out.
MemorySpace	The space (CPU/GPU) where the coefficients and values are stored.
BSpline1OnPatch	A type alias which provides the first BSpline type along which the splines are built template on the Patch.
BSpline2OnPatch	A type alias which provides the second BSpline type along which the splines are built template on the Patch.
Grid1OnPatch	A type alias which provides the first Grid type along which the interpolation points of the splines are found template on the Patch.
Grid2OnPatch	A type alias which provides the second Grid type along which the interpolation points of the splines are found template on the Patch.
ExtrapolationRule	The extrapolation rule type for outside of the global domain.
ValuesOnPatch	A Field type storing the evaluated values of the splines. Template on the Patch.
PatchLocator	A operator that finds the patch where a given coordinate is physically located.
Pacthes	A variadic template of all the patches.

Class Documentation

◆ MultipatchSplineEvaluator2D::eval_deriv_type

struct MultipatchSplineEvaluator2D::eval_deriv_type

template<class ExecSpace, class MemorySpace, template< typename P > typename BSpline1OnPatch, template< typename P > typename BSpline2OnPatch, template< typename P > typename Grid1OnPatch, template< typename P > typename Grid2OnPatch, class ExtrapolationRule, template< typename P > typename ValuesOnPatch, class PatchLocator, class... Patches>
struct MultipatchSplineEvaluator2D< ExecSpace, MemorySpace, BSpline1OnPatch, BSpline2OnPatch, Grid1OnPatch, Grid2OnPatch, ExtrapolationRule, ValuesOnPatch, PatchLocator, Patches >::eval_deriv_type

Tag to indicate that derivative of the spline should be evaluated.

◆ MultipatchSplineEvaluator2D::eval_type

struct MultipatchSplineEvaluator2D::eval_type

template<class ExecSpace, class MemorySpace, template< typename P > typename BSpline1OnPatch, template< typename P > typename BSpline2OnPatch, template< typename P > typename Grid1OnPatch, template< typename P > typename Grid2OnPatch, class ExtrapolationRule, template< typename P > typename ValuesOnPatch, class PatchLocator, class... Patches>
struct MultipatchSplineEvaluator2D< ExecSpace, MemorySpace, BSpline1OnPatch, BSpline2OnPatch, Grid1OnPatch, Grid2OnPatch, ExtrapolationRule, ValuesOnPatch, PatchLocator, Patches >::eval_type

Tag to indicate that the value of the spline should be evaluated.

Member Typedef Documentation

◆ continuous_dimension_type1

template<class ExecSpace , class MemorySpace , template< typename P > typename BSpline1OnPatch, template< typename P > typename BSpline2OnPatch, template< typename P > typename Grid1OnPatch, template< typename P > typename Grid2OnPatch, class ExtrapolationRule , template< typename P > typename ValuesOnPatch, class PatchLocator , class... Patches>

template<class Patch >

using MultipatchSplineEvaluator2D< ExecSpace, MemorySpace, BSpline1OnPatch, BSpline2OnPatch, Grid1OnPatch, Grid2OnPatch, ExtrapolationRule, ValuesOnPatch, PatchLocator, Patches >::continuous_dimension_type1 = typename BSpline1OnPatch<Patch>::continuous_dimension_type

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

Template Parameters

Patch Patch type.

◆ continuous_dimension_type2

template<class ExecSpace , class MemorySpace , template< typename P > typename BSpline1OnPatch, template< typename P > typename BSpline2OnPatch, template< typename P > typename Grid1OnPatch, template< typename P > typename Grid2OnPatch, class ExtrapolationRule , template< typename P > typename ValuesOnPatch, class PatchLocator , class... Patches>

template<class Patch >

using MultipatchSplineEvaluator2D< ExecSpace, MemorySpace, BSpline1OnPatch, BSpline2OnPatch, Grid1OnPatch, Grid2OnPatch, ExtrapolationRule, ValuesOnPatch, PatchLocator, Patches >::continuous_dimension_type2 = typename BSpline2OnPatch<Patch>::continuous_dimension_type

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

Template Parameters

Patch Patch type.

◆ evaluation_discrete_dimension_type1

template<class ExecSpace , class MemorySpace , template< typename P > typename BSpline1OnPatch, template< typename P > typename BSpline2OnPatch, template< typename P > typename Grid1OnPatch, template< typename P > typename Grid2OnPatch, class ExtrapolationRule , template< typename P > typename ValuesOnPatch, class PatchLocator , class... Patches>

template<class Patch >

using MultipatchSplineEvaluator2D< ExecSpace, MemorySpace, BSpline1OnPatch, BSpline2OnPatch, Grid1OnPatch, Grid2OnPatch, ExtrapolationRule, ValuesOnPatch, PatchLocator, Patches >::evaluation_discrete_dimension_type1 = Grid1OnPatch<Patch>

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

Template Parameters

Patch Patch type.

◆ evaluation_discrete_dimension_type2

template<class ExecSpace , class MemorySpace , template< typename P > typename BSpline1OnPatch, template< typename P > typename BSpline2OnPatch, template< typename P > typename Grid1OnPatch, template< typename P > typename Grid2OnPatch, class ExtrapolationRule , template< typename P > typename ValuesOnPatch, class PatchLocator , class... Patches>

template<class Patch >

using MultipatchSplineEvaluator2D< ExecSpace, MemorySpace, BSpline1OnPatch, BSpline2OnPatch, Grid1OnPatch, Grid2OnPatch, ExtrapolationRule, ValuesOnPatch, PatchLocator, Patches >::evaluation_discrete_dimension_type2 = Grid2OnPatch<Patch>

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

Template Parameters

Patch Patch type.

◆ bsplines_type1

template<class ExecSpace , class MemorySpace , template< typename P > typename BSpline1OnPatch, template< typename P > typename BSpline2OnPatch, template< typename P > typename Grid1OnPatch, template< typename P > typename Grid2OnPatch, class ExtrapolationRule , template< typename P > typename ValuesOnPatch, class PatchLocator , class... Patches>

template<class Patch >

using MultipatchSplineEvaluator2D< ExecSpace, MemorySpace, BSpline1OnPatch, BSpline2OnPatch, Grid1OnPatch, Grid2OnPatch, ExtrapolationRule, ValuesOnPatch, PatchLocator, Patches >::bsplines_type1 = BSpline1OnPatch<Patch>

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

Template Parameters

Patch Patch type.

◆ bsplines_type2

template<class ExecSpace , class MemorySpace , template< typename P > typename BSpline1OnPatch, template< typename P > typename BSpline2OnPatch, template< typename P > typename Grid1OnPatch, template< typename P > typename Grid2OnPatch, class ExtrapolationRule , template< typename P > typename ValuesOnPatch, class PatchLocator , class... Patches>

template<class Patch >

using MultipatchSplineEvaluator2D< ExecSpace, MemorySpace, BSpline1OnPatch, BSpline2OnPatch, Grid1OnPatch, Grid2OnPatch, ExtrapolationRule, ValuesOnPatch, PatchLocator, Patches >::bsplines_type2 = BSpline2OnPatch<Patch>

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

Template Parameters

Patch Patch type.

◆ evaluation_idx_range_type1

template<class ExecSpace , class MemorySpace , template< typename P > typename BSpline1OnPatch, template< typename P > typename BSpline2OnPatch, template< typename P > typename Grid1OnPatch, template< typename P > typename Grid2OnPatch, class ExtrapolationRule , template< typename P > typename ValuesOnPatch, class PatchLocator , class... Patches>

template<class Patch >

using MultipatchSplineEvaluator2D< ExecSpace, MemorySpace, BSpline1OnPatch, BSpline2OnPatch, Grid1OnPatch, Grid2OnPatch, ExtrapolationRule, ValuesOnPatch, PatchLocator, Patches >::evaluation_idx_range_type1 = IdxRange<evaluation_discrete_dimension_type1<Patch> >

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

Template Parameters

Patch Patch type.

◆ evaluation_idx_range_type2

template<class ExecSpace , class MemorySpace , template< typename P > typename BSpline1OnPatch, template< typename P > typename BSpline2OnPatch, template< typename P > typename Grid1OnPatch, template< typename P > typename Grid2OnPatch, class ExtrapolationRule , template< typename P > typename ValuesOnPatch, class PatchLocator , class... Patches>

template<class Patch >

using MultipatchSplineEvaluator2D< ExecSpace, MemorySpace, BSpline1OnPatch, BSpline2OnPatch, Grid1OnPatch, Grid2OnPatch, ExtrapolationRule, ValuesOnPatch, PatchLocator, Patches >::evaluation_idx_range_type2 = IdxRange<evaluation_discrete_dimension_type2<Patch> >

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

Template Parameters

Patch Patch type.

◆ evaluation_idx_range_type

template<class ExecSpace , class MemorySpace , template< typename P > typename BSpline1OnPatch, template< typename P > typename BSpline2OnPatch, template< typename P > typename Grid1OnPatch, template< typename P > typename Grid2OnPatch, class ExtrapolationRule , template< typename P > typename ValuesOnPatch, class PatchLocator , class... Patches>

template<class Patch >

using MultipatchSplineEvaluator2D< ExecSpace, MemorySpace, BSpline1OnPatch, BSpline2OnPatch, Grid1OnPatch, Grid2OnPatch, ExtrapolationRule, ValuesOnPatch, PatchLocator, Patches >::evaluation_idx_range_type = IdxRange< evaluation_discrete_dimension_type1<Patch>, evaluation_discrete_dimension_type2<Patch> >

The type of the domain for the 2D evaluation mesh used by this class.

Template Parameters

Patch Patch type.

◆ batched_evaluation_idx_range_type

template<class ExecSpace , class MemorySpace , template< typename P > typename BSpline1OnPatch, template< typename P > typename BSpline2OnPatch, template< typename P > typename Grid1OnPatch, template< typename P > typename Grid2OnPatch, class ExtrapolationRule , template< typename P > typename ValuesOnPatch, class PatchLocator , class... Patches>

template<class Patch >

using MultipatchSplineEvaluator2D< ExecSpace, MemorySpace, BSpline1OnPatch, BSpline2OnPatch, Grid1OnPatch, Grid2OnPatch, ExtrapolationRule, ValuesOnPatch, PatchLocator, Patches >::batched_evaluation_idx_range_type = typename ValuesOnPatch<Patch>::discrete_domain_type

The type of the whole domain representing evaluation points.

Template Parameters

Patch Patch type.

◆ spline_idx_range_type1

template<class ExecSpace , class MemorySpace , template< typename P > typename BSpline1OnPatch, template< typename P > typename BSpline2OnPatch, template< typename P > typename Grid1OnPatch, template< typename P > typename Grid2OnPatch, class ExtrapolationRule , template< typename P > typename ValuesOnPatch, class PatchLocator , class... Patches>

template<class Patch >

using MultipatchSplineEvaluator2D< ExecSpace, MemorySpace, BSpline1OnPatch, BSpline2OnPatch, Grid1OnPatch, Grid2OnPatch, ExtrapolationRule, ValuesOnPatch, PatchLocator, Patches >::spline_idx_range_type1 = IdxRange<bsplines_type1<Patch> >

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

Template Parameters

Patch Patch type.

◆ spline_idx_range_type2

template<class ExecSpace , class MemorySpace , template< typename P > typename BSpline1OnPatch, template< typename P > typename BSpline2OnPatch, template< typename P > typename Grid1OnPatch, template< typename P > typename Grid2OnPatch, class ExtrapolationRule , template< typename P > typename ValuesOnPatch, class PatchLocator , class... Patches>

template<class Patch >

using MultipatchSplineEvaluator2D< ExecSpace, MemorySpace, BSpline1OnPatch, BSpline2OnPatch, Grid1OnPatch, Grid2OnPatch, ExtrapolationRule, ValuesOnPatch, PatchLocator, Patches >::spline_idx_range_type2 = IdxRange<bsplines_type2<Patch> >

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

Template Parameters

Patch Patch type.

◆ spline_idx_range_type

template<class ExecSpace , class MemorySpace , template< typename P > typename BSpline1OnPatch, template< typename P > typename BSpline2OnPatch, template< typename P > typename Grid1OnPatch, template< typename P > typename Grid2OnPatch, class ExtrapolationRule , template< typename P > typename ValuesOnPatch, class PatchLocator , class... Patches>

template<class Patch >

using MultipatchSplineEvaluator2D< ExecSpace, MemorySpace, BSpline1OnPatch, BSpline2OnPatch, Grid1OnPatch, Grid2OnPatch, ExtrapolationRule, ValuesOnPatch, PatchLocator, Patches >::spline_idx_range_type = IdxRange<bsplines_type1<Patch>, bsplines_type2<Patch> >

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

Template Parameters

Patch Patch type.

◆ SplineCoeffOnPatch

template<class ExecSpace , class MemorySpace , template< typename P > typename BSpline1OnPatch, template< typename P > typename BSpline2OnPatch, template< typename P > typename Grid1OnPatch, template< typename P > typename Grid2OnPatch, class ExtrapolationRule , template< typename P > typename ValuesOnPatch, class PatchLocator , class... Patches>

template<class Patch >

using MultipatchSplineEvaluator2D< ExecSpace, MemorySpace, BSpline1OnPatch, BSpline2OnPatch, Grid1OnPatch, Grid2OnPatch, ExtrapolationRule, ValuesOnPatch, PatchLocator, Patches >::SplineCoeffOnPatch = DConstField<spline_idx_range_type<Patch>, MemorySpace>

Type for MultipatchType: A field of 2D spline coefficients for a non-batched spline defined on both of the Patch's logical dimensions.

Needed public for functions on GPU.

Constructor & Destructor Documentation

◆ MultipatchSplineEvaluator2D()

template<class ExecSpace , class MemorySpace , template< typename P > typename BSpline1OnPatch, template< typename P > typename BSpline2OnPatch, template< typename P > typename Grid1OnPatch, template< typename P > typename Grid2OnPatch, class ExtrapolationRule , template< typename P > typename ValuesOnPatch, class PatchLocator , class... Patches>

MultipatchSplineEvaluator2D< ExecSpace, MemorySpace, BSpline1OnPatch, BSpline2OnPatch, Grid1OnPatch, Grid2OnPatch, ExtrapolationRule, ValuesOnPatch, PatchLocator, Patches >::MultipatchSplineEvaluator2D	(	PatchLocator const &	patch_locator,
		ExtrapolationRule const &	extrapolation_rule
	)

inline

Instantiate a MultipatchSplineEvaluator2D.

Parameters

patch_locator	An operator to locate a coordinate. The mapping stored in this class has to be invertible.
extrapolation_rule	The extrapolation rules.

Member Function Documentation

◆ operator()() [1/2]

template<class ExecSpace , class MemorySpace , template< typename P > typename BSpline1OnPatch, template< typename P > typename BSpline2OnPatch, template< typename P > typename Grid1OnPatch, template< typename P > typename Grid2OnPatch, class ExtrapolationRule , template< typename P > typename ValuesOnPatch, class PatchLocator , class... Patches>

template<class Coord >

KOKKOS_FUNCTION double MultipatchSplineEvaluator2D< ExecSpace, MemorySpace, BSpline1OnPatch, BSpline2OnPatch, Grid1OnPatch, Grid2OnPatch, ExtrapolationRule, ValuesOnPatch, PatchLocator, Patches >::operator()	(	Coord const	coord_eval,
		MultipatchSplineCoeff const &	patches_splines
	)		const

inline

Evaluate the 2D splines (described by their spline coefficients) at a given coordinate.

The spline coefficients represent a 2D spline function defined on a B-splines (basis splines). They can be obtained via various methods, such as using a SplineBuilder2D or MultipatchSplineBuilder2D. The coordinate is defined on one patch. But it can be physically located on another patch.

Template Parameters

StoringPatch Patch type where the given coordinate is stored. It does not mean that the coordinate is physically located on the patch.

Parameters

coord_eval	The coordinate where the spline is evaluated.
patches_splines	A MultipatchType of DField storing the 2D spline coefficients.

Returns: The value of the spline at the desired coordinate on the right patch.

◆ operator()() [2/2]

template<class ExecSpace , class MemorySpace , template< typename P > typename BSpline1OnPatch, template< typename P > typename BSpline2OnPatch, template< typename P > typename Grid1OnPatch, template< typename P > typename Grid2OnPatch, class ExtrapolationRule , template< typename P > typename ValuesOnPatch, class PatchLocator , class... Patches>

void MultipatchSplineEvaluator2D< ExecSpace, MemorySpace, BSpline1OnPatch, BSpline2OnPatch, Grid1OnPatch, Grid2OnPatch, ExtrapolationRule, ValuesOnPatch, PatchLocator, Patches >::operator()	(	MultipatchValues const &	patches_values,
		MultipatchCoordField const &	patches_coords,
		MultipatchSplineCoeff const &	patches_splines
	)		const

inline

Evaluate 2D splines (described by their spline coefficients) on meshes.

See MultipatchSplineEvaluatorOperator.

Parameters

[out]	patches_values	A MultipatchType of DField to store the values of the splines at the given coordinates.
[in]	patches_coords	A MultipatchType of Field of Coordinate storing the coordinates of the meshes.
[in]	patches_splines	A MultipatchType of DField storing the 2D spline coefficients.

◆ deriv_dim_1() [1/2]

template<class ExecSpace , class MemorySpace , template< typename P > typename BSpline1OnPatch, template< typename P > typename BSpline2OnPatch, template< typename P > typename Grid1OnPatch, template< typename P > typename Grid2OnPatch, class ExtrapolationRule , template< typename P > typename ValuesOnPatch, class PatchLocator , class... Patches>

template<class Coord >

KOKKOS_FUNCTION double MultipatchSplineEvaluator2D< ExecSpace, MemorySpace, BSpline1OnPatch, BSpline2OnPatch, Grid1OnPatch, Grid2OnPatch, ExtrapolationRule, ValuesOnPatch, PatchLocator, Patches >::deriv_dim_1	(	Coord const &	coord_eval,
		MultipatchSplineCoeff const &	patches_splines
	)		const

inline

Differentiate 2D splines (described by their spline coefficients) at a given coordinate along first dimension of interest.

See MultipatchSplineEvaluatorOperator.

Warning: The derivative cannot be computed outside of the domain. The coordinate do not still have to be defined on the right patch.

Template Parameters

StoringPatch Patch type where the given coordinate is stored. It does not mean that the coordinate is physically located on the patch.

Parameters

coord_eval	The coordinate where the spline is differentiated.
patches_splines	A MultipatchType of DField storing the 2D spline coefficients.

Returns: The derivative of the spline at the desired coordinate on the right patch.

◆ deriv_dim_2() [1/2]

template<class ExecSpace , class MemorySpace , template< typename P > typename BSpline1OnPatch, template< typename P > typename BSpline2OnPatch, template< typename P > typename Grid1OnPatch, template< typename P > typename Grid2OnPatch, class ExtrapolationRule , template< typename P > typename ValuesOnPatch, class PatchLocator , class... Patches>

template<class Coord >

KOKKOS_FUNCTION double MultipatchSplineEvaluator2D< ExecSpace, MemorySpace, BSpline1OnPatch, BSpline2OnPatch, Grid1OnPatch, Grid2OnPatch, ExtrapolationRule, ValuesOnPatch, PatchLocator, Patches >::deriv_dim_2	(	Coord const &	coord_eval,
		MultipatchSplineCoeff const &	patches_splines
	)		const

inline

Differentiate 2D splines (described by their spline coefficients) at a given coordinate along second dimension of interest.

See MultipatchSplineEvaluatorOperator.

Warning: The derivative cannot be computed outside of the domain.

Template Parameters

StoringPatch Patch type where the given coordinate is stored. It does not mean that the coordinate is physically located on the patch.

Parameters

coord_eval	The coordinate where the spline is differentiated.
patches_splines	A MultipatchType of DField storing the 2D spline coefficients.

Returns: The derivative of the spline at the desired coordinate on the right patch.

◆ deriv_1_and_2() [1/2]

template<class ExecSpace , class MemorySpace , template< typename P > typename BSpline1OnPatch, template< typename P > typename BSpline2OnPatch, template< typename P > typename Grid1OnPatch, template< typename P > typename Grid2OnPatch, class ExtrapolationRule , template< typename P > typename ValuesOnPatch, class PatchLocator , class... Patches>

template<class Coord >

KOKKOS_FUNCTION double MultipatchSplineEvaluator2D< ExecSpace, MemorySpace, BSpline1OnPatch, BSpline2OnPatch, Grid1OnPatch, Grid2OnPatch, ExtrapolationRule, ValuesOnPatch, PatchLocator, Patches >::deriv_1_and_2	(	Coord const &	coord_eval,
		MultipatchSplineCoeff const &	patches_splines
	)		const

inline

Cross-differentiate 2D splines (described by their spline coefficients) at a given coordinate.

See MultipatchSplineEvaluatorOperator.

Warning: The derivative cannot be computed outside of the domain.

Template Parameters

StoringPatch Patch type where the given coordinate is stored. It does not mean that the coordinate is physically located on the patch.

Parameters

coord_eval	The coordinate where the spline is differentiated.
patches_splines	A MultipatchType of DField storing the 2D spline coefficients.

Returns: The derivative of the spline at the desired coordinate on the right patch.

◆ deriv()

template<class ExecSpace , class MemorySpace , template< typename P > typename BSpline1OnPatch, template< typename P > typename BSpline2OnPatch, template< typename P > typename Grid1OnPatch, template< typename P > typename Grid2OnPatch, class ExtrapolationRule , template< typename P > typename ValuesOnPatch, class PatchLocator , class... Patches>

template<class InterestDim , class Dim1 , class Dim2 >

KOKKOS_FUNCTION double MultipatchSplineEvaluator2D< ExecSpace, MemorySpace, BSpline1OnPatch, BSpline2OnPatch, Grid1OnPatch, Grid2OnPatch, ExtrapolationRule, ValuesOnPatch, PatchLocator, Patches >::deriv	(	Coord< Dim1, Dim2 > const &	coord_eval,
		MultipatchSplineCoeff const &	patches_splines
	)		const

inline

Differentiate 2D splines (described by their spline coefficients) at a given coordinate along a specified dimension of interest.

See MultipatchSplineEvaluatorOperator.

Warning: The derivative cannot be computed outside of the domain.

Template Parameters

InterestDim	Dimension of StoringPatch along which differentiation is performed.
StoringPatch	Patch type where the given coordinate is stored. It does not mean that the coordinate is physically located on the patch.

Parameters

coord_eval	The coordinate where the spline is differentiated.
patches_splines	A MultipatchType of DField storing the 2D spline coefficients.

Returns: The derivative of the spline at the desired coordinate on the right patch.

◆ deriv_dim_1() [2/2]

template<class ExecSpace , class MemorySpace , template< typename P > typename BSpline1OnPatch, template< typename P > typename BSpline2OnPatch, template< typename P > typename Grid1OnPatch, template< typename P > typename Grid2OnPatch, class ExtrapolationRule , template< typename P > typename ValuesOnPatch, class PatchLocator , class... Patches>

void MultipatchSplineEvaluator2D< ExecSpace, MemorySpace, BSpline1OnPatch, BSpline2OnPatch, Grid1OnPatch, Grid2OnPatch, ExtrapolationRule, ValuesOnPatch, PatchLocator, Patches >::deriv_dim_1	(	MultipatchValues const &	patches_deriv_1,
		MultipatchCoordField const &	patches_coords,
		MultipatchSplineCoeff const &	patches_splines
	)		const

inline

Differentiate 2D splines (described by their spline coefficients) on a meshes along first dimension of interest.

See MultipatchSplineEvaluatorOperator.

Warning: The derivatives cannot be computed outside of the domain.

Parameters

[out]	patches_deriv_1	A MultipatchType of DField to store the derivatives of the splines at the given coordinates.
[in]	patches_coords	A MultipatchType of Field of Coordinate storing the coordinates of the meshes.
[in]	patches_splines	A MultipatchType of DField storing the 2D spline coefficients.

◆ deriv_dim_2() [2/2]

template<class ExecSpace , class MemorySpace , template< typename P > typename BSpline1OnPatch, template< typename P > typename BSpline2OnPatch, template< typename P > typename Grid1OnPatch, template< typename P > typename Grid2OnPatch, class ExtrapolationRule , template< typename P > typename ValuesOnPatch, class PatchLocator , class... Patches>

void MultipatchSplineEvaluator2D< ExecSpace, MemorySpace, BSpline1OnPatch, BSpline2OnPatch, Grid1OnPatch, Grid2OnPatch, ExtrapolationRule, ValuesOnPatch, PatchLocator, Patches >::deriv_dim_2	(	MultipatchValues const &	patches_deriv_2,
		MultipatchCoordField const &	patches_coords,
		MultipatchSplineCoeff const &	patches_splines
	)		const

inline

Differentiate 2D splines (described by their spline coefficients) on a meshes along second dimension of interest.

See MultipatchSplineEvaluatorOperator.

Warning: The derivatives cannot be computed outside of the domain.

Parameters

[out]	patches_deriv_2	A MultipatchType of DField to store the derivatives of the splines at the given coordinates.
[in]	patches_coords	A MultipatchType of Field of Coordinate storing the coordinates of the meshes.
[in]	patches_splines	A MultipatchType of DField storing the 2D spline coefficients.

◆ deriv_1_and_2() [2/2]

template<class ExecSpace , class MemorySpace , template< typename P > typename BSpline1OnPatch, template< typename P > typename BSpline2OnPatch, template< typename P > typename Grid1OnPatch, template< typename P > typename Grid2OnPatch, class ExtrapolationRule , template< typename P > typename ValuesOnPatch, class PatchLocator , class... Patches>

void MultipatchSplineEvaluator2D< ExecSpace, MemorySpace, BSpline1OnPatch, BSpline2OnPatch, Grid1OnPatch, Grid2OnPatch, ExtrapolationRule, ValuesOnPatch, PatchLocator, Patches >::deriv_1_and_2	(	MultipatchValues const &	patches_deriv_12,
		MultipatchCoordField const &	patches_coords,
		MultipatchSplineCoeff const &	patches_splines
	)		const

inline

Cross-differentiate 2D splines (described by their spline coefficients) on a meshes.

See MultipatchSplineEvaluatorOperator.

Warning: The derivatives cannot be computed outside of the domain.

Parameters

[out]	patches_deriv_12	A MultipatchType of DField to store the cross-derivatives of the splines at the given coordinates.
[in]	patches_coords	A MultipatchType of Field of Coordinate storing the coordinates of the meshes.
[in]	patches_splines	A MultipatchType of DField storing the 2D spline coefficients.

◆ integrate()

template<class ExecSpace , class MemorySpace , template< typename P > typename BSpline1OnPatch, template< typename P > typename BSpline2OnPatch, template< typename P > typename Grid1OnPatch, template< typename P > typename Grid2OnPatch, class ExtrapolationRule , template< typename P > typename ValuesOnPatch, class PatchLocator , class... Patches>

void MultipatchSplineEvaluator2D< ExecSpace, MemorySpace, BSpline1OnPatch, BSpline2OnPatch, Grid1OnPatch, Grid2OnPatch, ExtrapolationRule, ValuesOnPatch, PatchLocator, Patches >::integrate	(	DKokkosView_h< n_patches > const &	integrals,
		MultipatchSplineCoeff const &	patches_splines
	)		const

inline

Integration of splines (described by their spline coefficients).

See MultipatchSplineEvaluatorOperator.

Parameters

[out]	integrals	An Kokkos::View on host containing the integrals of each spline on each patch.
[in]	patches_splines	A MultipatchType of DField storing the 2D spline coefficients.

◆ apply_evaluator()

template<class ExecSpace , class MemorySpace , template< typename P > typename BSpline1OnPatch, template< typename P > typename BSpline2OnPatch, template< typename P > typename Grid1OnPatch, template< typename P > typename Grid2OnPatch, class ExtrapolationRule , template< typename P > typename ValuesOnPatch, class PatchLocator , class... Patches>

template<class EvalType1 , class EvalType2 , class StoringPatch >

void MultipatchSplineEvaluator2D< ExecSpace, MemorySpace, BSpline1OnPatch, BSpline2OnPatch, Grid1OnPatch, Grid2OnPatch, ExtrapolationRule, ValuesOnPatch, PatchLocator, Patches >::apply_evaluator	(	ValuesOnPatch< StoringPatch > const &	patch_values,
		CoordConstFieldOnPatch< StoringPatch > const &	patch_coords,
		MultipatchSplineCoeff const	patches_splines
	)		const

inline

Compute the values or the derivatives of a given patch at the coordinates defined on the given patch.

Needed public for functions on GPU.

Template Parameters

EvalType1	Evaluation type: either eval_type or eval_deriv_type.
EvalType2	Evaluation type: either eval_type or eval_deriv_type.
StoringPatch	Patch type where the given coordinates are stored. They are not especially physically located on this patch.

Parameters

[out]	patch_values	Field of values of the function or derivative.
[in]	patch_coords	ConstField of coordinates defined on the StoringPatch and where we want to evaluate the function or derivative.
[in]	patches_splines	MultipatchType of spline coefficients of the splines on every patches.

◆ apply_integrate()

template<class ExecSpace , class MemorySpace , template< typename P > typename BSpline1OnPatch, template< typename P > typename BSpline2OnPatch, template< typename P > typename Grid1OnPatch, template< typename P > typename Grid2OnPatch, class ExtrapolationRule , template< typename P > typename ValuesOnPatch, class PatchLocator , class... Patches>

template<class Patch >

void MultipatchSplineEvaluator2D< ExecSpace, MemorySpace, BSpline1OnPatch, BSpline2OnPatch, Grid1OnPatch, Grid2OnPatch, ExtrapolationRule, ValuesOnPatch, PatchLocator, Patches >::apply_integrate	(	double &	integral,
		SplineCoeffOnPatch< Patch > const &	spline_coef
	)		const

inline

Integrate the spline defined on the given patch.

Template Parameters

Patch Patch type where the integration of the spline is computed.

Parameters

[out]	integral	Double, value of the integral of the spline on the given Patch.
[in]	spline_coef	ConstField of spline coefficients of the spline on the given Patch.

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

/home/runner/work/gyselalibxx/gyselalibxx/code_branch/src/multipatch/spline/multipatch_spline_evaluator_2d.hpp

Classes

Public Types

Public Member Functions

Static Public Attributes

Detailed Description

Class Documentation

◆ MultipatchSplineEvaluator2D::eval_deriv_type

◆ MultipatchSplineEvaluator2D::eval_type

Member Typedef Documentation

◆ continuous_dimension_type1

◆ continuous_dimension_type2

◆ evaluation_discrete_dimension_type1

◆ evaluation_discrete_dimension_type2

◆ bsplines_type1

◆ bsplines_type2

◆ evaluation_idx_range_type1

◆ evaluation_idx_range_type2

◆ evaluation_idx_range_type

◆ batched_evaluation_idx_range_type

◆ spline_idx_range_type1

◆ spline_idx_range_type2

◆ spline_idx_range_type

◆ SplineCoeffOnPatch

Constructor & Destructor Documentation

◆ MultipatchSplineEvaluator2D()

Member Function Documentation

◆ operator()() [1/2]

◆ operator()() [2/2]

◆ deriv_dim_1() [1/2]

◆ deriv_dim_2() [1/2]

◆ deriv_1_and_2() [1/2]

◆ deriv()

◆ deriv_dim_1() [2/2]

◆ deriv_dim_2() [2/2]

◆ deriv_1_and_2() [2/2]

◆ integrate()

◆ apply_evaluator()

◆ apply_integrate()