The symmetric fourth order tensor, with skew symmetry in the first two dimensions and last two dimensions. More...

Detailed Description

The symmetric fourth order tensor, with skew symmetry in the first two dimensions and last two dimensions.

Mandel notation/reduced skew is used, and so the storage space is (3, 3).

#include <WWR4.h>

Inheritance diagram for WWR4:

[legend]

Public Member Functions
	WWR4 (const R4 &F)

Public Member Functions inherited from PrimitiveTensor< WWR4, 3, 3 >
	PrimitiveTensor ()=default
	Special member functions.

	PrimitiveTensor (const ATensor &tensor, Size intmd_dim)
	Construct from an ATensor and infer dynamic shape.

	PrimitiveTensor (const ATensor &tensor, Size dynamic_dim, Size intmd_dim)
	Construct from an ATensor and extract dynamic shape given dynamic dimension.

	PrimitiveTensor (const ATensor &tensor, const TraceableTensorShape &dynamic_shape, Size intmd_dim)
	Construct from an ATensor given dynamic shape.

	PrimitiveTensor (const TensorBase< Derived2 > &tensor)
	Copy constructor.

	operator neml2::Tensor () const
	Implicit conversion to a Tensor (discards information on the fixed base shape)

Scalar	operator() (Args... i) const
	Single-element accessor.

Public Member Functions inherited from TensorBase< WWR4 >
	TensorBase ()=default
	Default constructor.

	TensorBase (const ATensor &tensor, Size dynamic_dim, Size intmd_dim)
	Construct from an ATensor with given dynamic dimension.

	TensorBase (const ATensor &tensor, TraceableTensorShape dynamic_shape, Size intmd_dim)
	Construct from an ATensor with given dynamic shape.

	TensorBase (const TensorBase< Derived2 > &tensor)
	Copy constructor.

	TensorBase (double)=delete

	TensorBase (float)=delete

	TensorBase (int)=delete

WWR4	variable_data () const
	Variable data without function graph.

WWR4	contiguous () const

WWR4	clone () const
	Clone (take ownership)

WWR4	detach () const
	Discard function graph.

WWR4	to (const TensorOptions &options) const
	Change tensor options.

WWR4	operator- () const
	Negation.

Size	batch_dim () const

Size	base_dim () const

Size	dynamic_dim () const

Size	static_dim () const

Size	intmd_dim () const

TraceableTensorShape	batch_sizes () const

TensorShapeRef	base_sizes () const

const TraceableTensorShape &	dynamic_sizes () const

TensorShapeRef	static_sizes () const

TensorShapeRef	intmd_sizes () const

TraceableSize	batch_size (Size i) const

Size	base_size (Size i) const

const TraceableSize &	dynamic_size (Size i) const

Size	static_size (Size i) const

Size	intmd_size (Size i) const

WWR4	dynamic_index (indexing::TensorIndicesRef indices) const

WWR4	intmd_index (indexing::TensorIndicesRef indices) const

neml2::Tensor	base_index (indexing::TensorIndicesRef indices) const

WWR4	dynamic_slice (Size d, const indexing::Slice &index) const

WWR4	intmd_slice (Size d, const indexing::Slice &index) const

neml2::Tensor	base_slice (Size d, const indexing::Slice &index) const

void	dynamic_index_put_ (indexing::TensorIndicesRef indices, const ATensor &other)

void	dynamic_index_put_ (indexing::TensorIndicesRef indices, const CScalar &v)

void	intmd_index_put_ (indexing::TensorIndicesRef indices, const ATensor &other)

void	intmd_index_put_ (indexing::TensorIndicesRef indices, const CScalar &v)

void	base_index_put_ (indexing::TensorIndicesRef indices, const ATensor &other)

void	base_index_put_ (indexing::TensorIndicesRef indices, const CScalar &v)

WWR4	dynamic_expand (const TraceableTensorShape &shape) const

WWR4	intmd_expand (TensorShapeRef shape) const

neml2::Tensor	base_expand (TensorShapeRef shape) const

WWR4	batch_expand (const TraceableTensorShape &dynamic_shape, TensorShapeRef intmd_shape) const

neml2::Tensor	static_expand (TensorShapeRef intmd_shape, TensorShapeRef base_shape) const

WWR4	dynamic_expand (const TraceableSize &size, Size d) const

WWR4	intmd_expand (Size size, Size d) const

neml2::Tensor	base_expand (Size size, Size d) const

WWR4	dynamic_expand_as (const neml2::Tensor &other) const

WWR4	intmd_expand_as (const neml2::Tensor &other) const

neml2::Tensor	base_expand_as (const neml2::Tensor &other) const

WWR4	batch_expand_as (const neml2::Tensor &other) const

neml2::Tensor	static_expand_as (const neml2::Tensor &other) const

WWR4	dynamic_reshape (const TraceableTensorShape &shape) const

WWR4	intmd_reshape (TensorShapeRef shape) const

neml2::Tensor	base_reshape (TensorShapeRef shape) const

WWR4	batch_reshape (const TraceableTensorShape &dynamic_shape, TensorShapeRef intmd_shape) const

neml2::Tensor	static_reshape (TensorShapeRef intmd_shape, TensorShapeRef base_shape) const

WWR4	dynamic_squeeze (Size d) const

WWR4	intmd_squeeze (Size d) const

neml2::Tensor	base_squeeze (Size d) const

WWR4	dynamic_unsqueeze (Size d, Size n=1) const

WWR4	intmd_unsqueeze (Size d, Size n=1) const

neml2::Tensor	base_unsqueeze (Size d, Size n=1) const

WWR4	dynamic_transpose (Size d1, Size d2) const

WWR4	intmd_transpose (Size d1, Size d2) const

neml2::Tensor	base_transpose (Size d1, Size d2) const

WWR4	dynamic_movedim (Size old_dim, Size new_dim) const

WWR4	intmd_movedim (Size old_dim, Size new_dim) const

neml2::Tensor	base_movedim (Size old_dim, Size new_dim) const

WWR4	dynamic_flatten () const

WWR4	intmd_flatten () const

neml2::Tensor	base_flatten () const

WWR4	batch_flatten () const
	Flatten batch dimensions.

neml2::Tensor	static_flatten () const
	Flatten static dimensions.

Static Public Member Functions
static WWR4	identity (const TensorOptions &options=default_tensor_options())
	Create the identity tensor \(\delta_{ij}\delta_{kl}\).

Static Public Member Functions inherited from PrimitiveTensor< WWR4, 3, 3 >
static WWR4	create (const TensorDataContainer &data, Size intmd_dim=0, const TensorOptions &options=default_tensor_options())
	Arbitrary tensor from a nested container with inferred batch dimension.

static WWR4	einsum (c10::string_view equation, TensorList tensors)
	Einstein summation along base dimensions.

static WWR4	empty (const TensorOptions &options=default_tensor_options())

static WWR4	empty (const TraceableTensorShape &dynamic_shape, TensorShapeRef intmd_shape={}, const TensorOptions &options=default_tensor_options())

static WWR4	zeros (const TensorOptions &options=default_tensor_options())

static WWR4	zeros (const TraceableTensorShape &dynamic_shape, TensorShapeRef intmd_shape={}, const TensorOptions &options=default_tensor_options())

static WWR4	ones (const TensorOptions &options=default_tensor_options())

static WWR4	ones (const TraceableTensorShape &dynamic_shape, TensorShapeRef intmd_shape={}, const TensorOptions &options=default_tensor_options())

static WWR4	full (const CScalar &init, const TensorOptions &options=default_tensor_options())

static WWR4	full (const TraceableTensorShape &dynamic_shape, TensorShapeRef intmd_shape, const CScalar &init, const TensorOptions &options=default_tensor_options())

static WWR4	rand (const TensorOptions &options=default_tensor_options())

static WWR4	rand (const TraceableTensorShape &dynamic_shape, TensorShapeRef intmd_shape, const TensorOptions &options=default_tensor_options())

static WWR4	fill (Args &&... args)

Static Public Member Functions inherited from TensorBase< WWR4 >
static WWR4	empty_like (const WWR4 &other)

static WWR4	zeros_like (const WWR4 &other)
	Zero tensor like another, i.e. same batch and base shapes, same tensor options, etc.

static WWR4	ones_like (const WWR4 &other)
	Unit tensor like another, i.e. same batch and base shapes, same tensor options, etc.

static WWR4	full_like (const WWR4 &other, const CScalar &init)

static WWR4	rand_like (const WWR4 &other)

Additional Inherited Members
Public Types inherited from PrimitiveTensor< WWR4, 3, 3 >
using	base_sizes_sequence
	Base shape sequence.

Static Public Attributes inherited from PrimitiveTensor< WWR4, 3, 3 >
static const TensorShape	const_base_sizes
	The base shape.

static constexpr Size	const_base_dim
	The base dim.

static constexpr Size	const_base_numel
	The base numel.

Protected Member Functions inherited from PrimitiveTensor< WWR4, 3, 3 >
void	validate_shapes_and_dims () const
	Validate shapes and dimensions.

Protected Member Functions inherited from TensorBase< WWR4 >
void	validate_shapes_and_dims () const
	Validate shapes and dimensions.

Constructor & Destructor Documentation

◆ WWR4()

WWR4 ( const R4 & F )

Member Function Documentation

◆ identity()

WWR4 identity ( const TensorOptions & options = default_tensor_options() )

static

Create the identity tensor \(\delta_{ij}\delta_{kl}\).

Detailed Description

Public Member Functions

Static Public Member Functions

Additional Inherited Members

Constructor & Destructor Documentation

◆ WWR4()

Member Function Documentation

◆ identity()