R3 Class Reference

Third order tensor without symmetry. More...

Detailed Description

Third order tensor without symmetry.

The storage space is (3, 3, 3).

#include <R3.h>

Inheritance diagram for R3:

Static Public Member Functions
static R3	levi_civita (const TensorOptions &options=default_tensor_options())
	Alternating symbol.
Static Public Member Functions inherited from PrimitiveTensor< R3, 3, 3, 3 >
static R3	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 R3	einsum (c10::string_view equation, TensorList tensors)
	Einstein summation along base dimensions.
static R3	empty (const TensorOptions &options=default_tensor_options())
static R3	empty (const TraceableTensorShape &dynamic_shape, TensorShapeRef intmd_shape={}, const TensorOptions &options=default_tensor_options())
static R3	zeros (const TensorOptions &options=default_tensor_options())
static R3	zeros (const TraceableTensorShape &dynamic_shape, TensorShapeRef intmd_shape={}, const TensorOptions &options=default_tensor_options())
static R3	ones (const TensorOptions &options=default_tensor_options())
static R3	ones (const TraceableTensorShape &dynamic_shape, TensorShapeRef intmd_shape={}, const TensorOptions &options=default_tensor_options())
static R3	full (const CScalar &init, const TensorOptions &options=default_tensor_options())
static R3	full (const TraceableTensorShape &dynamic_shape, TensorShapeRef intmd_shape, const CScalar &init, const TensorOptions &options=default_tensor_options())
static R3	rand (const TensorOptions &options=default_tensor_options())
static R3	rand (const TraceableTensorShape &dynamic_shape, TensorShapeRef intmd_shape, const TensorOptions &options=default_tensor_options())
static R3	fill (Args &&... args)
Static Public Member Functions inherited from TensorBase< R3 >
static R3	empty_like (const R3 &other)
static R3	zeros_like (const R3 &other)
	Zero tensor like another, i.e. same batch and base shapes, same tensor options, etc.
static R3	ones_like (const R3 &other)
	Unit tensor like another, i.e. same batch and base shapes, same tensor options, etc.
static R3	full_like (const R3 &other, const CScalar &init)
static R3	rand_like (const R3 &other)

Additional Inherited Members
Public Types inherited from PrimitiveTensor< R3, 3, 3, 3 >
using	base_sizes_sequence
	Base shape sequence.
Public Member Functions inherited from PrimitiveTensor< R3, 3, 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< R3 >
	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
R3	variable_data () const
	Variable data without function graph.
R3	contiguous () const
R3	clone () const
	Clone (take ownership)
R3	detach () const
	Discard function graph.
R3	to (const TensorOptions &options) const
	Change tensor options.
R3	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
R3	dynamic_index (indexing::TensorIndicesRef indices) const
R3	intmd_index (indexing::TensorIndicesRef indices) const
neml2::Tensor	base_index (indexing::TensorIndicesRef indices) const
R3	dynamic_slice (Size d, const indexing::Slice &index) const
R3	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)
R3	dynamic_expand (const TraceableTensorShape &shape) const
R3	intmd_expand (TensorShapeRef shape) const
neml2::Tensor	base_expand (TensorShapeRef shape) const
R3	batch_expand (const TraceableTensorShape &dynamic_shape, TensorShapeRef intmd_shape) const
neml2::Tensor	static_expand (TensorShapeRef intmd_shape, TensorShapeRef base_shape) const
R3	dynamic_expand (const TraceableSize &size, Size d) const
R3	intmd_expand (Size size, Size d) const
neml2::Tensor	base_expand (Size size, Size d) const
R3	dynamic_expand_as (const neml2::Tensor &other) const
R3	intmd_expand_as (const neml2::Tensor &other) const
neml2::Tensor	base_expand_as (const neml2::Tensor &other) const
R3	batch_expand_as (const neml2::Tensor &other) const
neml2::Tensor	static_expand_as (const neml2::Tensor &other) const
R3	dynamic_reshape (const TraceableTensorShape &shape) const
R3	intmd_reshape (TensorShapeRef shape) const
neml2::Tensor	base_reshape (TensorShapeRef shape) const
R3	batch_reshape (const TraceableTensorShape &dynamic_shape, TensorShapeRef intmd_shape) const
neml2::Tensor	static_reshape (TensorShapeRef intmd_shape, TensorShapeRef base_shape) const
R3	dynamic_squeeze (Size d) const
R3	intmd_squeeze (Size d) const
neml2::Tensor	base_squeeze (Size d) const
R3	dynamic_unsqueeze (Size d, Size n=1) const
R3	intmd_unsqueeze (Size d, Size n=1) const
neml2::Tensor	base_unsqueeze (Size d, Size n=1) const
R3	dynamic_transpose (Size d1, Size d2) const
R3	intmd_transpose (Size d1, Size d2) const
neml2::Tensor	base_transpose (Size d1, Size d2) const
R3	dynamic_movedim (Size old_dim, Size new_dim) const
R3	intmd_movedim (Size old_dim, Size new_dim) const
neml2::Tensor	base_movedim (Size old_dim, Size new_dim) const
R3	dynamic_flatten () const
R3	intmd_flatten () const
neml2::Tensor	base_flatten () const
R3	batch_flatten () const
	Flatten batch dimensions.
neml2::Tensor	static_flatten () const
	Flatten static dimensions.
Static Public Attributes inherited from PrimitiveTensor< R3, 3, 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< R3, 3, 3, 3 >
void	validate_shapes_and_dims () const
	Validate shapes and dimensions.
Protected Member Functions inherited from TensorBase< R3 >
void	validate_shapes_and_dims () const
	Validate shapes and dimensions.

Member Function Documentation

levi_civita()

R3 levi_civita ( const TensorOptions & options = default_tensor_options() )

staticnodiscard

Alternating symbol.