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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 PrimitiveTensor< WWR4, 3, 3 > | |
| PrimitiveTensor ()=default | |
| Default constructor. | |
| PrimitiveTensor (const torch::Tensor &tensor, Size batch_dim) | |
| Construct from another torch::Tensor given batch dimension. | |
| PrimitiveTensor (const torch::Tensor &tensor) | |
| Construct from another torch::Tensor and infer batch dimension. | |
| operator Tensor () const | |
| Implicit conversion to a Tensor and loses information on the fixed base shape. | |
| Public Member Functions inherited from TensorBase< Derived > | |
| TensorBase ()=default | |
| Default constructor. | |
| TensorBase (const torch::Tensor &tensor, Size batch_dim) | |
| Construct from another torch::Tensor. | |
| TensorBase (const Derived &tensor) | |
| Copy constructor. | |
| TensorBase (Real)=delete | |
| Derived | clone (torch::MemoryFormat memory_format=torch::MemoryFormat::Contiguous) const |
| Derived | detach () const |
| Discard function graph. | |
| Derived | to (const torch::TensorOptions &options) const |
| Change tensor options. | |
| Derived | operator- () const |
| Negation. | |
| bool | batched () const |
| Whether the tensor is batched. | |
| Size | batch_dim () const |
| Return the number of batch dimensions. | |
| Size | base_dim () const |
| Return the number of base dimensions. | |
| TensorShapeRef | batch_sizes () const |
| Return the batch size. | |
| Size | batch_size (Size index) const |
| Return the size of a batch axis. | |
| TensorShapeRef | base_sizes () const |
| Return the base size. | |
| Size | base_size (Size index) const |
| Return the size of a base axis. | |
| Size | base_storage () const |
| Return the flattened storage needed just for the base indices. | |
| Derived | batch_index (indexing::TensorIndicesRef indices) const |
| Get a tensor by slicing on the batch dimensions. | |
| neml2::Tensor | base_index (indexing::TensorIndicesRef indices) const |
| Get a tensor by slicing on the base dimensions. | |
| void | batch_index_put_ (indexing::TensorIndicesRef indices, const torch::Tensor &other) |
| Set values by slicing on the batch dimensions. | |
| void | base_index_put_ (indexing::TensorIndicesRef indices, const torch::Tensor &other) |
| Set values by slicing on the base dimensions. | |
| Derived | batch_expand (TensorShapeRef batch_size) const |
| neml2::Tensor | base_expand (TensorShapeRef 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 (TensorShapeRef batch_size) const |
| Return a new tensor with values broadcast along the batch dimensions. | |
| neml2::Tensor | base_expand_copy (TensorShapeRef base_size) const |
| Return a new tensor with values broadcast along the base dimensions. | |
| Derived | batch_reshape (TensorShapeRef batch_shape) const |
| Reshape batch dimensions. | |
| neml2::Tensor | base_reshape (TensorShapeRef base_shape) const |
| Reshape base dimensions. | |
| Derived | batch_unsqueeze (Size d) const |
| Unsqueeze a batch dimension. | |
| neml2::Tensor | base_unsqueeze (Size d) const |
| Unsqueeze a base dimension. | |
| Derived | batch_transpose (Size d1, Size d2) const |
| Transpose two batch dimensions. | |
| neml2::Tensor | base_transpose (Size d1, Size d2) const |
| Transpose two base dimensions. | |
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 PrimitiveTensor< WWR4, 3, 3 > | |
| static WWR4 | empty (const torch::TensorOptions &options=default_tensor_options()) |
| Unbatched empty tensor. | |
| static WWR4 | empty (TensorShapeRef 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 (TensorShapeRef 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 (TensorShapeRef 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 (TensorShapeRef batch_shape, Real init, const torch::TensorOptions &options=default_tensor_options()) |
| Full tensor given batch shape. | |
| static Tensor | identity_map (const torch::TensorOptions &) |
| Derived tensor classes should define identity_map where appropriate. | |
| Static Public Member Functions inherited from TensorBase< 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, Size nstep, Size dim=0, Size 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, Size nstep, Size dim=0, Size batch_dim=-1, Real base=10) |
| log-space equivalent of the linspace named constructor | |
Additional Inherited Members | |
| 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 const Size | const_base_storage |
| The base storage. | |
Constructor & Destructor Documentation
◆ WWR4()
Member Function Documentation
◆ identity()
|
static |
Create the identity tensor \(\delta_{ij}\delta_{kl}\).
