NEML2 1.4.0
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R3 Class Reference

The (logical) full third order tensor. More...

Detailed Description

The (logical) full third order tensor.

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

#include <R3.h>

Inheritance diagram for R3:

Public Member Functions

Scalar operator() (TorchSize i, TorchSize j, TorchSize k) const
 Accessor.
 
R2 contract_k (const Vec &v) const
 R3,Vector->R2 product ijk,k->ij.
 
- Public Member Functions inherited from FixedDimTensor< R3, 3, 3, 3 >
 FixedDimTensor ()=default
 Default constructor.
 
 FixedDimTensor (const torch::Tensor &tensor, TorchSize batch_dim)
 Construct from another torch::Tensor given batch dimension.
 
 FixedDimTensor (const torch::Tensor &tensor)
 Construct from another torch::Tensor and infer batch dimension.
 
 operator BatchTensor () const
 Implicit conversion to a BatchTensor and loses information on the fixed base shape.
 
- Public Member Functions inherited from BatchTensorBase< Derived >
 BatchTensorBase ()=default
 Default constructor.
 
 BatchTensorBase (const torch::Tensor &tensor, TorchSize batch_dim)
 Construct from another torch::Tensor.
 
 BatchTensorBase (const Derived &tensor)
 Copy constructor.
 
 BatchTensorBase (Real)=delete
 
bool batched () const
 Whether the tensor is batched.
 
TorchSize batch_dim () const
 Return the number of batch dimensions.
 
TorchSizebatch_dim ()
 Return a writable reference to the batch dimension.
 
TorchSize base_dim () const
 Return the number of base dimensions.
 
TorchShapeRef batch_sizes () const
 Return the batch size.
 
TorchSize batch_size (TorchSize index) const
 Return the length of some batch axis.
 
TorchShapeRef base_sizes () const
 Return the base size.
 
TorchSize base_size (TorchSize index) const
 Return the length of some base axis.
 
TorchSize base_storage () const
 Return the flattened storage needed just for the base indices.
 
Derived batch_index (TorchSlice indices) const
 Get a batch.
 
BatchTensor base_index (const TorchSlice &indices) const
 Return an index sliced on the base dimensions.
 
void batch_index_put (TorchSlice indices, const torch::Tensor &other)
 Set a index sliced on the batch dimensions to a value.
 
void base_index_put (const TorchSlice &indices, const torch::Tensor &other)
 Set a index sliced on the base dimensions to a value.
 
Derived batch_expand (TorchShapeRef batch_size) const
 Return a new view of the tensor with values broadcast along the batch dimensions.
 
BatchTensor base_expand (TorchShapeRef base_size) const
 Return a new view of the tensor with values broadcast along the base dimensions.
 
template<class Derived2 >
Derived batch_expand_as (const Derived2 &other) const
 Expand the batch to have the same shape as another tensor.
 
template<class Derived2 >
Derived2 base_expand_as (const Derived2 &other) const
 Expand the base to have the same shape as another tensor.
 
Derived batch_expand_copy (TorchShapeRef batch_size) const
 Return a new tensor with values broadcast along the batch dimensions.
 
BatchTensor base_expand_copy (TorchShapeRef base_size) const
 Return a new tensor with values broadcast along the base dimensions.
 
Derived batch_reshape (TorchShapeRef batch_shape) const
 Reshape batch dimensions.
 
BatchTensor base_reshape (TorchShapeRef base_shape) const
 Reshape base dimensions.
 
Derived batch_unsqueeze (TorchSize d) const
 Unsqueeze a batch dimension.
 
Derived list_unsqueeze () const
 Unsqueeze on the special list batch dimension.
 
BatchTensor base_unsqueeze (TorchSize d) const
 Unsqueeze a base dimension.
 
Derived batch_transpose (TorchSize d1, TorchSize d2) const
 Transpose two batch dimensions.
 
BatchTensor base_transpose (TorchSize d1, TorchSize d2) const
 Transpose two base dimensions.
 
BatchTensor base_movedim (TorchSize d1, TorchSize d2) const
 Move two base dimensions.
 
Derived clone (torch::MemoryFormat memory_format=torch::MemoryFormat::Contiguous) const
 Clone (take ownership)
 
Derived detach () const
 Discard function graph.
 
Derived to (const torch::TensorOptions &options) const
 Send to options.
 
Derived operator- () const
 Negation.
 
Derived batch_sum (TorchSize d) const
 Sum on a batch index.
 
Derived list_sum () const
 Sum on the list index (TODO: replace with class)
 

Static Public Member Functions

static R3 levi_civita (const torch::TensorOptions &options=default_tensor_options())
 Alternating symbol.
 
- Static Public Member Functions inherited from FixedDimTensor< R3, 3, 3, 3 >
static R3 empty (const torch::TensorOptions &options=default_tensor_options())
 Unbatched empty tensor.
 
static R3 empty (TorchShapeRef batch_shape, const torch::TensorOptions &options=default_tensor_options())
 Empty tensor given batch shape.
 
static R3 zeros (const torch::TensorOptions &options=default_tensor_options())
 Unbatched zero tensor.
 
static R3 zeros (TorchShapeRef batch_shape, const torch::TensorOptions &options=default_tensor_options())
 Zero tensor given batch shape.
 
static R3 ones (const torch::TensorOptions &options=default_tensor_options())
 Unbatched unit tensor.
 
static R3 ones (TorchShapeRef batch_shape, const torch::TensorOptions &options=default_tensor_options())
 Unit tensor given batch shape.
 
static R3 full (Real init, const torch::TensorOptions &options=default_tensor_options())
 Unbatched tensor filled with a given value given base shape.
 
static R3 full (TorchShapeRef batch_shape, Real init, const torch::TensorOptions &options=default_tensor_options())
 Full tensor given batch shape.
 
static BatchTensor identity_map (const torch::TensorOptions &)
 Derived tensor classes should define identity_map where appropriate.
 
- Static Public Member Functions inherited from BatchTensorBase< Derived >
static Derived empty_like (const Derived &other)
 Empty tensor like another, i.e. same batch and base shapes, same tensor options, etc.
 
static Derived zeros_like (const Derived &other)
 Zero tensor like another, i.e. same batch and base shapes, same tensor options, etc.
 
static Derived ones_like (const Derived &other)
 Unit tensor like another, i.e. same batch and base shapes, same tensor options, etc.
 
static Derived full_like (const Derived &other, Real init)
 
static Derived linspace (const Derived &start, const Derived &end, TorchSize nstep, TorchSize dim=0, TorchSize batch_dim=-1)
 Create a new tensor by adding a new batch dimension with linear spacing between start and end.
 
static Derived logspace (const Derived &start, const Derived &end, TorchSize nstep, TorchSize dim=0, TorchSize batch_dim=-1, Real base=10)
 log-space equivalent of the linspace named constructor
 

Additional Inherited Members

- Static Public Attributes inherited from FixedDimTensor< R3, 3, 3, 3 >
static const TorchShape const_base_sizes
 The base shape.
 
static constexpr TorchSize const_base_dim
 The base dim.
 
static const TorchSize const_base_storage
 The base storage.
 

Member Function Documentation

◆ contract_k()

R2 contract_k ( const Vec & v) const

R3,Vector->R2 product ijk,k->ij.

◆ levi_civita()

R3 levi_civita ( const torch::TensorOptions & options = default_tensor_options())
static

Alternating symbol.

◆ operator()()

Accessor.