WWR4 Class Reference

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:

Public Member Functions
	WWR4 (const R4 &F)
Public Member Functions inherited from PrimitiveTensor< WWR4, 3, 3 >
	PrimitiveTensor ()=default
	Special member functions.
	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.
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	batch_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
WWR4	batch_slice (Size d, const indexing::Slice &index) const
void	dynamic_index_put_ (indexing::TensorIndicesRef indices, const ATensor &other)
void	intmd_index_put_ (indexing::TensorIndicesRef indices, const ATensor &other)
void	base_index_put_ (indexing::TensorIndicesRef indices, const ATensor &other)
void	batch_index_put_ (indexing::TensorIndicesRef indices, const ATensor &other)
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_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	batch_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	batch_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	batch_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	batch_movedim (Size old_dim, Size new_dim) const
WWR4	dynamic_flatten (Size start_dim=0, Size end_dim=-1) const
WWR4	intmd_flatten (Size start_dim=0, Size end_dim=-1) const
neml2::Tensor	base_flatten (Size start_dim=0, Size end_dim=-1) 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	zeros (const TensorOptions &options=default_tensor_options())
static WWR4	ones (const TensorOptions &options=default_tensor_options())
static WWR4	full (const CScalar &init, const TensorOptions &options=default_tensor_options())
static WWR4	rand (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 \(\delta_{ij}\delta_{kl}\).