NEML2 1.4.0
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WWR4 Class Reference

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

Detailed Description

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

#include <WWR4.h>

Inheritance diagram for WWR4:

Public Member Functions

 WWR4 (const R4 &F)
 
- Public Member Functions inherited from FixedDimTensor< WWR4, 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 WWR4 identity (const torch::TensorOptions &options=default_tensor_options())
 Create the identity tensor \(\delta_{ij}\delta_{kl}\).
 
- Static Public Member Functions inherited from FixedDimTensor< WWR4, 3, 3 >
static WWR4 empty (const torch::TensorOptions &options=default_tensor_options())
 Unbatched empty tensor.
 
static WWR4 empty (TorchShapeRef batch_shape, const torch::TensorOptions &options=default_tensor_options())
 Empty tensor given batch shape.
 
static WWR4 zeros (const torch::TensorOptions &options=default_tensor_options())
 Unbatched zero tensor.
 
static WWR4 zeros (TorchShapeRef batch_shape, const torch::TensorOptions &options=default_tensor_options())
 Zero tensor given batch shape.
 
static WWR4 ones (const torch::TensorOptions &options=default_tensor_options())
 Unbatched unit tensor.
 
static WWR4 ones (TorchShapeRef batch_shape, const torch::TensorOptions &options=default_tensor_options())
 Unit tensor given batch shape.
 
static WWR4 full (Real init, const torch::TensorOptions &options=default_tensor_options())
 Unbatched tensor filled with a given value given base shape.
 
static WWR4 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< WWR4, 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.
 

Constructor & Destructor Documentation

◆ WWR4()

WWR4 ( const R4 & F)

Member Function Documentation

◆ identity()

WWR4 identity ( const torch::TensorOptions & options = default_tensor_options())
static

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