Classes
struct	Boundary

class	Chain
	Chain class. More...

struct	Coboundary

struct	Coboundary< CochainType >

struct	Coboundary< TagToAddToCochain, CochainTag >

class	Cochain
	Cochain class. More...

class	CochainIterator

struct	Codifferential

struct	Codifferential< MetricIndex, TagToRemoveFromCochain, CochainTag, TensorType, MetricType, PositionType >

struct	ContinuousHodgeStar

class	Cosimplex
	Cosimplex class. More...

struct	DiscreteHodgeStar

struct	DualSimplexVolume

struct	FillReconstructionOperatorMem

struct	FillReductionOperatorMem

struct	IndexForCodifferentialOfCoboundaryInLaplacian

class	LocalChain
	LocalChain class. More...

struct	Reconstruction

struct	Reduction

class	Simplex
	Simplex class. More...

struct	SimplexVolume

class	StagedCodifferential

class	StagedLaplacian

class	StagedLaplacian< MetricIndex, LaplacianDummyIndex, CochainTag, TensorType, MetricType, PositionType, ExecSpace >

struct	TransposedCoboundary

struct	TransposedCoboundary< TagToAddToCochain, CochainTag >

Typedefs
template<class T >
using	boundary_t = typename detail::BoundaryType<T>::type

template<misc::Specialization< Cochain > CochainType>
using	coboundary_t = typename detail::CoboundaryType<CochainType>::type

template<class TagToAddToCochain , class CochainTag >
using	coboundary_index_t = typename detail::CoboundaryIndex<TagToAddToCochain, CochainTag>::type

template<tensor::TensorNatIndex TagToAddToCochain, tensor::TensorIndex CochainTag, misc::Specialization< tensor::Tensor > TensorType>
using	coboundary_tensor_t

template<misc::Specialization< Cochain > CochainType>
using	codifferential_t = typename detail::CodifferentialType<CochainType>::type

template<class TagToRemoveFromCochain , class CochainTag >
using	codifferential_index_t

template<tensor::TensorNatIndex TagToRemoveFromCochain, tensor::TensorIndex CochainTag, misc::Specialization< tensor::Tensor > TensorType>
using	codifferential_tensor_t

template<std::size_t EndId, class T >
using	codifferential_hodge_output_indices_t

template<class T , class ElementType = double, class LayoutStridedPolicy = Kokkos::LayoutRight>
using	Form = typename detail::FormWrapper<T, ElementType, LayoutStridedPolicy>::type

template<misc::Specialization< ddc::detail::TypeSeq > Indices1, misc::Specialization< ddc::detail::TypeSeq > Indices2>
using	hodge_star_domain_t

template<misc::Specialization< ddc::detail::TypeSeq > Indices>
using	reduction_index_t = typename detail::ReductionTargetIndex<Indices>::type

template<misc::Specialization< ddc::detail::TypeSeq > Indices>
using	reduction_domain_t

template<misc::Specialization< ddc::detail::TypeSeq > Indices>
using	reconstruction_domain_t

template<std::size_t K, class Dom >
using	simplex_for_domain_t = detail::SimplexForDomain<K, Dom>::type

Enumerations
enum class	CellComplex { Primal , CircumcentricDual , BarycentricDual }

Functions
template<misc::Specialization< Kokkos::View > AllocationType, class SimplexType >
KOKKOS_FUNCTION Chain< boundary_t< SimplexType >, typename AllocationType::array_layout, typename AllocationType::memory_space >	boundary (AllocationType allocation, SimplexType simplex)

template<misc::Specialization< Kokkos::View > AllocationType, class SimplexType >
KOKKOS_FUNCTION Chain< boundary_t< SimplexType >, typename AllocationType::array_layout, typename AllocationType::memory_space >	boundary (AllocationType allocation, Chain< SimplexType, typename AllocationType::array_layout, typename AllocationType::memory_space > chain)

template<class Head , class... Tail>
	Chain (Head, Tail...) -> Chain< typename Head::value_type, typename Head::array_layout, typename Head::memory_space >

template<misc::Specialization< Chain > ChainType>
std::ostream &	operator<< (std::ostream &out, ChainType const &chain)

template<misc::Specialization< Cochain > CochainType>
KOKKOS_FUNCTION coboundary_t< CochainType >	coboundary (CochainType cochain)

template<tensor::TensorNatIndex TagToAddToCochain, tensor::TensorIndex CochainTag, misc::Specialization< tensor::Tensor > TensorType, class ExecSpace >
coboundary_tensor_t< TagToAddToCochain, CochainTag, TensorType >	coboundary (ExecSpace const &exec_space, coboundary_tensor_t< TagToAddToCochain, CochainTag, TensorType > coboundary_tensor, TensorType tensor)

template<tensor::TensorNatIndex TagToAddToCochain, tensor::TensorIndex CochainTag, misc::Specialization< tensor::Tensor > TensorType, class ExecSpace >
coboundary_tensor_t< TagToAddToCochain, CochainTag, TensorType >	transposed_coboundary (ExecSpace const &exec_space, coboundary_tensor_t< TagToAddToCochain, CochainTag, TensorType > coboundary_tensor, TensorType tensor)

template<tensor::TensorNatIndex TagToAddToCochain, tensor::TensorIndex CochainTag, misc::Specialization< tensor::Tensor > TensorType, class ExecSpace >
coboundary_tensor_t< TagToAddToCochain, CochainTag, TensorType >	deriv (ExecSpace const &exec_space, coboundary_tensor_t< TagToAddToCochain, CochainTag, TensorType > coboundary_tensor, TensorType tensor)

template<class ChainType , misc::Specialization< tensor::Tensor > TensorType>
	Cochain (ChainType, TensorType) -> Cochain< ChainType, typename TensorType::value_type, ddc::detail::mdspan_to_kokkos_layout_t< typename TensorType::layout_type > >

template<misc::Specialization< Cochain > CochainType>
std::ostream &	operator<< (std::ostream &out, CochainType const &cochain)

template<tensor::TensorIndex MetricIndex, tensor::TensorNatIndex TagToRemoveFromCochain, tensor::TensorIndex CochainTag, class ExecSpace , misc::Specialization< tensor::Tensor > TensorType, misc::Specialization< tensor::Tensor > MetricType, misc::Specialization< tensor::Tensor > PositionType>
StagedCodifferential< MetricIndex, TagToRemoveFromCochain, CochainTag, TensorType, MetricType, PositionType, ExecSpace >	make_staged_codifferential (ExecSpace const &exec_space, TensorType tensor, MetricType metric, PositionType position)

template<tensor::TensorIndex MetricIndex, tensor::TensorNatIndex TagToRemoveFromCochain, tensor::TensorIndex CochainTag, misc::Specialization< tensor::Tensor > DualTensorType, misc::Specialization< tensor::Tensor > TensorType, misc::Specialization< tensor::Tensor > HodgeStarType, misc::Specialization< tensor::Tensor > DualHodgeStarType, class ExecSpace >
codifferential_tensor_t< TagToRemoveFromCochain, CochainTag, TensorType >	codifferential (ExecSpace const &exec_space, codifferential_tensor_t< TagToRemoveFromCochain, CochainTag, TensorType > codifferential_tensor, TensorType tensor, HodgeStarType hodge_star, DualHodgeStarType dual_hodge_star, DualTensorType dual_tensor_buffer)

template<tensor::TensorIndex MetricIndex, tensor::TensorNatIndex TagToRemoveFromCochain, tensor::TensorIndex CochainTag, misc::Specialization< tensor::Tensor > TensorType, misc::Specialization< tensor::Tensor > MetricType, misc::Specialization< tensor::Tensor > PositionType, class ExecSpace >
codifferential_tensor_t< TagToRemoveFromCochain, CochainTag, TensorType >	codifferential (ExecSpace const &exec_space, codifferential_tensor_t< TagToRemoveFromCochain, CochainTag, TensorType > codifferential_tensor, TensorType tensor, MetricType metric, PositionType position)

template<misc::Specialization< Cosimplex > CosimplexType>
std::ostream &	operator<< (std::ostream &out, CosimplexType const &cosimplex)

template<misc::Specialization< ddc::detail::TypeSeq > Indices1, misc::Specialization< ddc::detail::TypeSeq > Indices2, CellComplex Complex = CellComplex::CircumcentricDual, misc::Specialization< tensor::Tensor > HodgeStarType, misc::Specialization< tensor::Tensor > MetricType, misc::Specialization< tensor::Tensor > PositionType, class ExecSpace >
HodgeStarType	fill_discrete_hodge_star (ExecSpace const &exec_space, HodgeStarType hodge_star, MetricType metric, PositionType position)

template<misc::Specialization< ddc::detail::TypeSeq > Indices1, misc::Specialization< ddc::detail::TypeSeq > Indices2, misc::Specialization< tensor::Tensor > HodgeStarType, misc::Specialization< tensor::Tensor > MetricType, class ExecSpace >
HodgeStarType	fill_continuous_hodge_star (ExecSpace const &exec_space, HodgeStarType hodge_star, MetricType metric)

template<tensor::TensorIndex MetricIndex, tensor::TensorNatIndex LaplacianDummyIndex, tensor::TensorIndex CochainTag, class ExecSpace , misc::Specialization< tensor::Tensor > TensorType, misc::Specialization< tensor::Tensor > MetricType, misc::Specialization< tensor::Tensor > PositionType>
StagedLaplacian< MetricIndex, LaplacianDummyIndex, CochainTag, TensorType, MetricType, PositionType, ExecSpace >	make_staged_laplacian (ExecSpace const &exec_space, TensorType laplacian_tensor, TensorType tensor, MetricType metric, PositionType position)

template<tensor::TensorIndex MetricIndex, tensor::TensorNatIndex LaplacianDummyIndex, tensor::TensorIndex CochainTag, misc::Specialization< tensor::Tensor > TensorType, misc::Specialization< tensor::Tensor > DerivativeHodgeStarType, misc::Specialization< tensor::Tensor > DualDerivativeHodgeStarType, misc::Specialization< tensor::Tensor > DerivativeDualTensorBufferType, class ExecSpace > requires (detail::ZeroRankLaplacianCochain<LaplacianDummyIndex, CochainTag>)
TensorType	laplacian (ExecSpace const &exec_space, TensorType laplacian_tensor, TensorType tensor, DerivativeHodgeStarType hodge_star, DualDerivativeHodgeStarType dual_hodge_star, DerivativeDualTensorBufferType dual_tensor_buffer)

template<tensor::TensorIndex MetricIndex, tensor::TensorNatIndex LaplacianDummyIndex, tensor::TensorIndex CochainTag, misc::Specialization< tensor::Tensor > TensorType, misc::Specialization< tensor::Tensor > DerivativeHodgeStarType, misc::Specialization< tensor::Tensor > DualDerivativeHodgeStarType, misc::Specialization< tensor::Tensor > DerivativeDualTensorBufferType, misc::Specialization< tensor::Tensor > HodgeStarType, misc::Specialization< tensor::Tensor > DualHodgeStarType, misc::Specialization< tensor::Tensor > DualTensorBufferType, misc::Specialization< tensor::Tensor > CodifferentialTensorBufferType, misc::Specialization< tensor::Tensor > CoboundaryOfCodifferentialBufferType, class ExecSpace > requires (detail::IntermediateRankLaplacianCochain<LaplacianDummyIndex, CochainTag>)
TensorType	laplacian (ExecSpace const &exec_space, TensorType laplacian_tensor, TensorType tensor, DerivativeHodgeStarType derivative_hodge_star, DualDerivativeHodgeStarType dual_derivative_hodge_star, DerivativeDualTensorBufferType derivative_dual_tensor_buffer, HodgeStarType hodge_star, DualHodgeStarType dual_hodge_star, DualTensorBufferType dual_tensor_buffer, CodifferentialTensorBufferType codifferential_tensor_buffer, CoboundaryOfCodifferentialBufferType coboundary_of_codifferential_buffer)

template<tensor::TensorIndex MetricIndex, tensor::TensorNatIndex LaplacianDummyIndex, tensor::TensorIndex CochainTag, misc::Specialization< tensor::Tensor > TensorType, misc::Specialization< tensor::Tensor > HodgeStarType, misc::Specialization< tensor::Tensor > DualHodgeStarType, misc::Specialization< tensor::Tensor > DualTensorBufferType, misc::Specialization< tensor::Tensor > CodifferentialTensorBufferType, class ExecSpace > requires (detail::TopRankLaplacianCochain<LaplacianDummyIndex, CochainTag>)
TensorType	laplacian (ExecSpace const &exec_space, TensorType laplacian_tensor, TensorType tensor, HodgeStarType hodge_star, DualHodgeStarType dual_hodge_star, DualTensorBufferType dual_tensor_buffer, CodifferentialTensorBufferType codifferential_tensor_buffer)

template<class Head , misc::NotSpecialization< ddc::DiscreteVector >... Tail>
	LocalChain (Head, Tail...) -> LocalChain< ddc::type_seq_element_t< 0, ddc::detail::TypeSeq< Tail... > >, typename Head::array_layout, typename Head::memory_space >

template<std::size_t K, misc::Specialization< ddc::DiscreteDomain > Dom, class ExecSpace >
constexpr auto	tangent_basis (ExecSpace const &exec_space)

template<misc::Specialization< ddc::detail::TypeSeq > Indices, misc::Specialization< tensor::Tensor > ReductionTensorType, misc::Specialization< tensor::Tensor > PositionType, class ExecSpace , CellComplex Complex = CellComplex::Primal>
ReductionTensorType	fill_reduction_operator (ExecSpace const &exec_space, ReductionTensorType reduction_tensor, PositionType position)

template<misc::Specialization< ddc::detail::TypeSeq > Indices, misc::Specialization< tensor::Tensor > ReconstructionTensorType, misc::Specialization< tensor::Tensor > PositionType, class ExecSpace , CellComplex Complex = CellComplex::Primal>
ReconstructionTensorType	fill_reconstruction_operator (ExecSpace const &exec_space, ReconstructionTensorType reconstruction_tensor, PositionType position)

template<class... Tag, class... T>
	Simplex (ddc::DiscreteElement< Tag... >, ddc::DiscreteVector< T... >) -> Simplex< sizeof...(T), Tag... >

template<class... Tag, class... T>
	Simplex (ddc::DiscreteElement< Tag... >, ddc::DiscreteVector< T... >, bool) -> Simplex< sizeof...(T), Tag... >

template<std::size_t K, class... Tag>
std::ostream &	operator<< (std::ostream &out, Simplex< K, Tag... > const &simplex)

Class Documentation

◆ sil::exterior::Coboundary

struct sil::exterior::Coboundary

template<class... Args>
struct sil::exterior::Coboundary< Args >

Definition at line 158 of file coboundary.hpp.

Collaboration diagram for sil::exterior::Coboundary< Args >:

◆ sil::exterior::Codifferential

struct sil::exterior::Codifferential

template<class... Args>
struct sil::exterior::Codifferential< Args >

Definition at line 173 of file codifferential.hpp.

Collaboration diagram for sil::exterior::Codifferential< Args >:

◆ sil::exterior::StagedLaplacian

class sil::exterior::StagedLaplacian

template<class... Args>
class sil::exterior::StagedLaplacian< Args >

Definition at line 175 of file laplacian.hpp.

Collaboration diagram for sil::exterior::StagedLaplacian< Args >:

◆ sil::exterior::TransposedCoboundary

struct sil::exterior::TransposedCoboundary

template<class... Args>
struct sil::exterior::TransposedCoboundary< Args >

Definition at line 161 of file coboundary.hpp.

Collaboration diagram for sil::exterior::TransposedCoboundary< Args >:

Typedef Documentation

◆ boundary_t

template<class T >

using sil::exterior::boundary_t = typename detail::BoundaryType<T>::type

Definition at line 36 of file boundary.hpp.

◆ coboundary_t

template<misc::Specialization< Cochain > CochainType>

using sil::exterior::coboundary_t = typename detail::CoboundaryType<CochainType>::type

Definition at line 56 of file coboundary.hpp.

◆ coboundary_index_t

template<class TagToAddToCochain , class CochainTag >

using sil::exterior::coboundary_index_t = typename detail::CoboundaryIndex<TagToAddToCochain, CochainTag>::type

Definition at line 86 of file coboundary.hpp.

◆ coboundary_tensor_t

template<tensor::TensorNatIndex TagToAddToCochain, tensor::TensorIndex CochainTag, misc::Specialization< tensor::Tensor > TensorType>

using sil::exterior::coboundary_tensor_t

Initial value:

typename detail::CoboundaryTensorType<TagToAddToCochain, CochainTag, TensorType>::type

Definition at line 127 of file coboundary.hpp.

◆ codifferential_t

template<misc::Specialization< Cochain > CochainType>

using sil::exterior::codifferential_t = typename detail::CodifferentialType<CochainType>::type

Definition at line 53 of file codifferential.hpp.

◆ codifferential_index_t

template<class TagToRemoveFromCochain , class CochainTag >

using sil::exterior::codifferential_index_t

Initial value:

typename detail::CodifferentialIndex<TagToRemoveFromCochain, CochainTag>::type

Definition at line 87 of file codifferential.hpp.

◆ codifferential_tensor_t

template<tensor::TensorNatIndex TagToRemoveFromCochain, tensor::TensorIndex CochainTag, misc::Specialization< tensor::Tensor > TensorType>

using sil::exterior::codifferential_tensor_t

Initial value:

typename detail::

CodifferentialTensorType<TagToRemoveFromCochain, CochainTag, TensorType>::type

Definition at line 129 of file codifferential.hpp.

◆ codifferential_hodge_output_indices_t

template<std::size_t EndId, class T >

using sil::exterior::codifferential_hodge_output_indices_t

Initial value:

typename detail::CodifferentialHodgeOutputIndexSeq<EndId, T>::type

Definition at line 169 of file codifferential.hpp.

◆ Form

template<class T , class ElementType = double, class LayoutStridedPolicy = Kokkos::LayoutRight>

using sil::exterior::Form = typename detail::FormWrapper<T, ElementType, LayoutStridedPolicy>::type

Definition at line 44 of file form.hpp.

◆ hodge_star_domain_t

template<misc::Specialization< ddc::detail::TypeSeq > Indices1, misc::Specialization< ddc::detail::TypeSeq > Indices2>

using sil::exterior::hodge_star_domain_t

Initial value:

 ddc::detail::convert_type_seq_to_discrete_domain_t<ddc::type_seq_merge_t<
                ddc::detail::TypeSeq<
                        misc::convert_type_seq_to_t<tensor::TensorFullIndex, Indices1>>,
                std::conditional_t<
                        (ddc::type_seq_size_v<Indices2> == 0),
                        ddc::detail::TypeSeq<>,
                        ddc::detail::TypeSeq<misc::convert_type_seq_to_t<
                                tensor::TensorAntisymmetricIndex,
                                Indices2>>>>>

Definition at line 30 of file hodge_star.hpp.

◆ reduction_index_t

template<misc::Specialization< ddc::detail::TypeSeq > Indices>

using sil::exterior::reduction_index_t = typename detail::ReductionTargetIndex<Indices>::type

Definition at line 452 of file reduction_and_reconstruction.hpp.

◆ reduction_domain_t

template<misc::Specialization< ddc::detail::TypeSeq > Indices>

using sil::exterior::reduction_domain_t

Initial value:

 ddc::detail::convert_type_seq_to_discrete_domain_t<ddc::type_seq_merge_t<
        ddc::detail::TypeSeq<misc::convert_type_seq_to_t<
                tensor::TensorFullIndex,
                tensor::primes<tensor::upper_t<Indices>>>>,
        ddc::detail::TypeSeq<reduction_index_t<Indices>>>>

Definition at line 455 of file reduction_and_reconstruction.hpp.

◆ reconstruction_domain_t

template<misc::Specialization< ddc::detail::TypeSeq > Indices>

using sil::exterior::reconstruction_domain_t

Initial value:

 ddc::detail::convert_type_seq_to_discrete_domain_t<ddc::type_seq_merge_t<
                ddc::detail::TypeSeq<reduction_index_t<Indices>>,
                ddc::detail::TypeSeq<reduction_index_t<tensor::primes<Indices>>>>>

Definition at line 462 of file reduction_and_reconstruction.hpp.

◆ simplex_for_domain_t

template<std::size_t K, class Dom >

using sil::exterior::simplex_for_domain_t = detail::SimplexForDomain<K, Dom>::type

Definition at line 232 of file simplex.hpp.

Enumeration Type Documentation

◆ CellComplex

enum class sil::exterior::CellComplex

strong

Enumerator
Primal
CircumcentricDual
BarycentricDual

Definition at line 21 of file volume.hpp.

Function Documentation

◆ boundary() [1/2]

template<misc::Specialization< Kokkos::View > AllocationType, class SimplexType >

KOKKOS_FUNCTION Chain< boundary_t< SimplexType >, typename AllocationType::array_layout, typename AllocationType::memory_space > sil::exterior::boundary	(	AllocationType	allocation,
		SimplexType	simplex )

Definition at line 142 of file boundary.hpp.

◆ boundary() [2/2]

template<misc::Specialization< Kokkos::View > AllocationType, class SimplexType >

KOKKOS_FUNCTION Chain< boundary_t< SimplexType >, typename AllocationType::array_layout, typename AllocationType::memory_space > sil::exterior::boundary	(	AllocationType	allocation,
		Chain< SimplexType, typename AllocationType::array_layout, typename AllocationType::memory_space >	chain )

Definition at line 152 of file boundary.hpp.

◆ Chain()

template<class Head , class... Tail>

sil::exterior::Chain	(	Head	,
		Tail...	) -> Chain< typename Head::value_type, typename Head::array_layout, typename Head::memory_space >

◆ operator<<() [1/4]

template<misc::Specialization< Chain > ChainType>

std::ostream & sil::exterior::operator<<	(	std::ostream &	out,
		ChainType const &	chain )

Definition at line 304 of file chain.hpp.

◆ coboundary() [1/2]

template<misc::Specialization< Cochain > CochainType>

KOKKOS_FUNCTION coboundary_t< CochainType > sil::exterior::coboundary ( CochainType cochain )

Definition at line 394 of file coboundary.hpp.

◆ coboundary() [2/2]

template<tensor::TensorNatIndex TagToAddToCochain, tensor::TensorIndex CochainTag, misc::Specialization< tensor::Tensor > TensorType, class ExecSpace >

coboundary_tensor_t< TagToAddToCochain, CochainTag, TensorType > sil::exterior::coboundary	(	ExecSpace const &	exec_space,
		coboundary_tensor_t< TagToAddToCochain, CochainTag, TensorType >	coboundary_tensor,
		TensorType	tensor )

Definition at line 404 of file coboundary.hpp.

◆ transposed_coboundary()

template<tensor::TensorNatIndex TagToAddToCochain, tensor::TensorIndex CochainTag, misc::Specialization< tensor::Tensor > TensorType, class ExecSpace >

coboundary_tensor_t< TagToAddToCochain, CochainTag, TensorType > sil::exterior::transposed_coboundary	(	ExecSpace const &	exec_space,
		coboundary_tensor_t< TagToAddToCochain, CochainTag, TensorType >	coboundary_tensor,
		TensorType	tensor )

Definition at line 451 of file coboundary.hpp.

◆ deriv()

template<tensor::TensorNatIndex TagToAddToCochain, tensor::TensorIndex CochainTag, misc::Specialization< tensor::Tensor > TensorType, class ExecSpace >

coboundary_tensor_t< TagToAddToCochain, CochainTag, TensorType > sil::exterior::deriv	(	ExecSpace const &	exec_space,
		coboundary_tensor_t< TagToAddToCochain, CochainTag, TensorType >	coboundary_tensor,
		TensorType	tensor )

Definition at line 498 of file coboundary.hpp.

◆ Cochain()

template<class ChainType , misc::Specialization< tensor::Tensor > TensorType>

sil::exterior::Cochain	(	ChainType	,
		TensorType	) -> Cochain< ChainType, typename TensorType::value_type, ddc::detail::mdspan_to_kokkos_layout_t< typename TensorType::layout_type > >

◆ operator<<() [2/4]

template<misc::Specialization< Cochain > CochainType>

std::ostream & sil::exterior::operator<<	(	std::ostream &	out,
		CochainType const &	cochain )

Definition at line 372 of file cochain.hpp.

◆ make_staged_codifferential()

template<tensor::TensorIndex MetricIndex, tensor::TensorNatIndex TagToRemoveFromCochain, tensor::TensorIndex CochainTag, class ExecSpace , misc::Specialization< tensor::Tensor > TensorType, misc::Specialization< tensor::Tensor > MetricType, misc::Specialization< tensor::Tensor > PositionType>

StagedCodifferential< MetricIndex, TagToRemoveFromCochain, CochainTag, TensorType, MetricType, PositionType, ExecSpace > sil::exterior::make_staged_codifferential	(	ExecSpace const &	exec_space,
		TensorType	tensor,
		MetricType	metric,
		PositionType	position )

Definition at line 484 of file codifferential.hpp.

◆ codifferential() [1/2]

template<tensor::TensorIndex MetricIndex, tensor::TensorNatIndex TagToRemoveFromCochain, tensor::TensorIndex CochainTag, misc::Specialization< tensor::Tensor > DualTensorType, misc::Specialization< tensor::Tensor > TensorType, misc::Specialization< tensor::Tensor > HodgeStarType, misc::Specialization< tensor::Tensor > DualHodgeStarType, class ExecSpace >

codifferential_tensor_t< TagToRemoveFromCochain, CochainTag, TensorType > sil::exterior::codifferential	(	ExecSpace const &	exec_space,
		codifferential_tensor_t< TagToRemoveFromCochain, CochainTag, TensorType >	codifferential_tensor,
		TensorType	tensor,
		HodgeStarType	hodge_star,
		DualHodgeStarType	dual_hodge_star,
		DualTensorType	dual_tensor_buffer )

Definition at line 509 of file codifferential.hpp.

◆ codifferential() [2/2]

template<tensor::TensorIndex MetricIndex, tensor::TensorNatIndex TagToRemoveFromCochain, tensor::TensorIndex CochainTag, misc::Specialization< tensor::Tensor > TensorType, misc::Specialization< tensor::Tensor > MetricType, misc::Specialization< tensor::Tensor > PositionType, class ExecSpace >

codifferential_tensor_t< TagToRemoveFromCochain, CochainTag, TensorType > sil::exterior::codifferential	(	ExecSpace const &	exec_space,
		codifferential_tensor_t< TagToRemoveFromCochain, CochainTag, TensorType >	codifferential_tensor,
		TensorType	tensor,
		MetricType	metric,
		PositionType	position )

Definition at line 600 of file codifferential.hpp.

◆ operator<<() [3/4]

template<misc::Specialization< Cosimplex > CosimplexType>

std::ostream & sil::exterior::operator<<	(	std::ostream &	out,
		CosimplexType const &	cosimplex )

Definition at line 107 of file cosimplex.hpp.

◆ fill_discrete_hodge_star()

template<misc::Specialization< ddc::detail::TypeSeq > Indices1, misc::Specialization< ddc::detail::TypeSeq > Indices2, CellComplex Complex = CellComplex::CircumcentricDual, misc::Specialization< tensor::Tensor > HodgeStarType, misc::Specialization< tensor::Tensor > MetricType, misc::Specialization< tensor::Tensor > PositionType, class ExecSpace >

HodgeStarType sil::exterior::fill_discrete_hodge_star	(	ExecSpace const &	exec_space,
		HodgeStarType	hodge_star,
		MetricType	metric,
		PositionType	position )

Definition at line 460 of file hodge_star.hpp.

◆ fill_continuous_hodge_star()

template<misc::Specialization< ddc::detail::TypeSeq > Indices1, misc::Specialization< ddc::detail::TypeSeq > Indices2, misc::Specialization< tensor::Tensor > HodgeStarType, misc::Specialization< tensor::Tensor > MetricType, class ExecSpace >

HodgeStarType sil::exterior::fill_continuous_hodge_star	(	ExecSpace const &	exec_space,
		HodgeStarType	hodge_star,
		MetricType	metric )

Definition at line 501 of file hodge_star.hpp.

◆ make_staged_laplacian()

template<tensor::TensorIndex MetricIndex, tensor::TensorNatIndex LaplacianDummyIndex, tensor::TensorIndex CochainTag, class ExecSpace , misc::Specialization< tensor::Tensor > TensorType, misc::Specialization< tensor::Tensor > MetricType, misc::Specialization< tensor::Tensor > PositionType>

StagedLaplacian< MetricIndex, LaplacianDummyIndex, CochainTag, TensorType, MetricType, PositionType, ExecSpace > sil::exterior::make_staged_laplacian	(	ExecSpace const &	exec_space,
		TensorType	laplacian_tensor,
		TensorType	tensor,
		MetricType	metric,
		PositionType	position )

Definition at line 343 of file laplacian.hpp.

◆ laplacian() [1/3]

template<tensor::TensorIndex MetricIndex, tensor::TensorNatIndex LaplacianDummyIndex, tensor::TensorIndex CochainTag, misc::Specialization< tensor::Tensor > TensorType, misc::Specialization< tensor::Tensor > DerivativeHodgeStarType, misc::Specialization< tensor::Tensor > DualDerivativeHodgeStarType, misc::Specialization< tensor::Tensor > DerivativeDualTensorBufferType, class ExecSpace >
requires (detail::ZeroRankLaplacianCochain<LaplacianDummyIndex, CochainTag>)

TensorType sil::exterior::laplacian	(	ExecSpace const &	exec_space,
		TensorType	laplacian_tensor,
		TensorType	tensor,
		DerivativeHodgeStarType	hodge_star,
		DualDerivativeHodgeStarType	dual_hodge_star,
		DerivativeDualTensorBufferType	dual_tensor_buffer )

Definition at line 824 of file laplacian.hpp.

◆ laplacian() [2/3]

template<tensor::TensorIndex MetricIndex, tensor::TensorNatIndex LaplacianDummyIndex, tensor::TensorIndex CochainTag, misc::Specialization< tensor::Tensor > TensorType, misc::Specialization< tensor::Tensor > DerivativeHodgeStarType, misc::Specialization< tensor::Tensor > DualDerivativeHodgeStarType, misc::Specialization< tensor::Tensor > DerivativeDualTensorBufferType, misc::Specialization< tensor::Tensor > HodgeStarType, misc::Specialization< tensor::Tensor > DualHodgeStarType, misc::Specialization< tensor::Tensor > DualTensorBufferType, misc::Specialization< tensor::Tensor > CodifferentialTensorBufferType, misc::Specialization< tensor::Tensor > CoboundaryOfCodifferentialBufferType, class ExecSpace >
requires (detail::IntermediateRankLaplacianCochain<LaplacianDummyIndex, CochainTag>)

TensorType sil::exterior::laplacian	(	ExecSpace const &	exec_space,
		TensorType	laplacian_tensor,
		TensorType	tensor,
		DerivativeHodgeStarType	derivative_hodge_star,
		DualDerivativeHodgeStarType	dual_derivative_hodge_star,
		DerivativeDualTensorBufferType	derivative_dual_tensor_buffer,
		HodgeStarType	hodge_star,
		DualHodgeStarType	dual_hodge_star,
		DualTensorBufferType	dual_tensor_buffer,
		CodifferentialTensorBufferType	codifferential_tensor_buffer,
		CoboundaryOfCodifferentialBufferType	coboundary_of_codifferential_buffer )

Definition at line 862 of file laplacian.hpp.

◆ laplacian() [3/3]

template<tensor::TensorIndex MetricIndex, tensor::TensorNatIndex LaplacianDummyIndex, tensor::TensorIndex CochainTag, misc::Specialization< tensor::Tensor > TensorType, misc::Specialization< tensor::Tensor > HodgeStarType, misc::Specialization< tensor::Tensor > DualHodgeStarType, misc::Specialization< tensor::Tensor > DualTensorBufferType, misc::Specialization< tensor::Tensor > CodifferentialTensorBufferType, class ExecSpace >
requires (detail::TopRankLaplacianCochain<LaplacianDummyIndex, CochainTag>)

TensorType sil::exterior::laplacian	(	ExecSpace const &	exec_space,
		TensorType	laplacian_tensor,
		TensorType	tensor,
		HodgeStarType	hodge_star,
		DualHodgeStarType	dual_hodge_star,
		DualTensorBufferType	dual_tensor_buffer,
		CodifferentialTensorBufferType	codifferential_tensor_buffer )

Definition at line 930 of file laplacian.hpp.

◆ LocalChain()

template<class Head , misc::NotSpecialization< ddc::DiscreteVector >... Tail>

sil::exterior::LocalChain	(	Head	,
		Tail...	) -> LocalChain< ddc::type_seq_element_t< 0, ddc::detail::TypeSeq< Tail... > >, typename Head::array_layout, typename Head::memory_space >

◆ tangent_basis()

template<std::size_t K, misc::Specialization< ddc::DiscreteDomain > Dom, class ExecSpace >

auto sil::exterior::tangent_basis ( ExecSpace const & exec_space )

constexpr

Definition at line 410 of file local_chain.hpp.

◆ fill_reduction_operator()

template<misc::Specialization< ddc::detail::TypeSeq > Indices, misc::Specialization< tensor::Tensor > ReductionTensorType, misc::Specialization< tensor::Tensor > PositionType, class ExecSpace , CellComplex Complex = CellComplex::Primal>

ReductionTensorType sil::exterior::fill_reduction_operator	(	ExecSpace const &	exec_space,
		ReductionTensorType	reduction_tensor,
		PositionType	position )

Definition at line 770 of file reduction_and_reconstruction.hpp.

◆ fill_reconstruction_operator()

template<misc::Specialization< ddc::detail::TypeSeq > Indices, misc::Specialization< tensor::Tensor > ReconstructionTensorType, misc::Specialization< tensor::Tensor > PositionType, class ExecSpace , CellComplex Complex = CellComplex::Primal>

ReconstructionTensorType sil::exterior::fill_reconstruction_operator	(	ExecSpace const &	exec_space,
		ReconstructionTensorType	reconstruction_tensor,
		PositionType	position )

Definition at line 925 of file reduction_and_reconstruction.hpp.

◆ Simplex() [1/2]

template<class... Tag, class... T>

sil::exterior::Simplex	(	ddc::DiscreteElement< Tag... >	,
		ddc::DiscreteVector< T... >	) -> Simplex< sizeof...(T), Tag... >

◆ Simplex() [2/2]

template<class... Tag, class... T>

sil::exterior::Simplex	(	ddc::DiscreteElement< Tag... >	,
		ddc::DiscreteVector< T... >	,
		bool	) -> Simplex< sizeof...(T), Tag... >

◆ operator<<() [4/4]

template<std::size_t K, class... Tag>

std::ostream & sil::exterior::operator<<	(	std::ostream &	out,
		Simplex< K, Tag... > const &	simplex )

Definition at line 235 of file simplex.hpp.

Classes

Typedefs

Enumerations

Functions

Class Documentation

◆ sil::exterior::Coboundary

◆ sil::exterior::Codifferential

◆ sil::exterior::StagedLaplacian

◆ sil::exterior::TransposedCoboundary

Typedef Documentation

◆ boundary_t

◆ coboundary_t

◆ coboundary_index_t

◆ coboundary_tensor_t

◆ codifferential_t

◆ codifferential_index_t

◆ codifferential_tensor_t

◆ codifferential_hodge_output_indices_t

◆ Form

◆ hodge_star_domain_t

◆ reduction_index_t

◆ reduction_domain_t

◆ reconstruction_domain_t

◆ simplex_for_domain_t

Enumeration Type Documentation

◆ CellComplex

Function Documentation

◆ boundary() [1/2]

◆ boundary() [2/2]

◆ Chain()

◆ operator<<() [1/4]

◆ coboundary() [1/2]

◆ coboundary() [2/2]

◆ transposed_coboundary()

◆ deriv()

◆ Cochain()

◆ operator<<() [2/4]

◆ make_staged_codifferential()

◆ codifferential() [1/2]

◆ codifferential() [2/2]

◆ operator<<() [3/4]

◆ fill_discrete_hodge_star()

◆ fill_continuous_hodge_star()

◆ make_staged_laplacian()

◆ laplacian() [1/3]

◆ laplacian() [2/3]

◆ laplacian() [3/3]

◆ LocalChain()

◆ tangent_basis()

◆ fill_reduction_operator()

◆ fill_reconstruction_operator()

◆ Simplex() [1/2]

◆ Simplex() [2/2]

◆ operator<<() [4/4]