NEML2 1.4.0
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VecBase< Derived > Class Template Reference

Base class for the (logical) vector. More...

Detailed Description

template<class Derived>
class neml2::VecBase< Derived >

Base class for the (logical) vector.

The logical storage space is (3). This class provides common operations for vector.

#include <VecBase.h>

Inheritance diagram for VecBase< Derived >:

Public Member Functions

Scalar operator() (Size i) const
 Accessor.
 
template<class Derived2 >
Scalar dot (const VecBase< Derived2 > &v) const
 dot product
 
template<class Derived2 >
Derived cross (const VecBase< Derived2 > &v) const
 cross product
 
template<class Derived2 >
R2 outer (const VecBase< Derived2 > &v) const
 outer product
 
Scalar norm_sq () const
 Norm squared.
 
Scalar norm () const
 Norm.
 
Derived rotate (const Rot &r) const
 Rotate using a Rodrigues vector.
 
Derived rotate (const R2 &R) const
 Rotate using a rotation matrix.
 
R2 drotate (const Rot &r) const
 Derivative of the rotated vector w.r.t. the Rodrigues vector.
 
R3 drotate (const R2 &R) const
 Derivative of the rotated vector w.r.t. the rotation matrix.
 
- Public Member Functions inherited from PrimitiveTensor< Derived, 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 Derived fill (const Real &v1, const Real &v2, const Real &v3, const torch::TensorOptions &options=default_tensor_options())
 
static Derived fill (const Scalar &v1, const Scalar &v2, const Scalar &v3)
 
static R2 identity_map (const torch::TensorOptions &options=default_tensor_options())
 The derivative of a vector with respect to itself.
 
- Static Public Member Functions inherited from PrimitiveTensor< Derived, 3 >
static Derived empty (const torch::TensorOptions &options=default_tensor_options())
 Unbatched empty tensor.
 
static Derived empty (TensorShapeRef batch_shape, const torch::TensorOptions &options=default_tensor_options())
 Empty tensor given batch shape.
 
static Derived zeros (const torch::TensorOptions &options=default_tensor_options())
 Unbatched zero tensor.
 
static Derived zeros (TensorShapeRef batch_shape, const torch::TensorOptions &options=default_tensor_options())
 Zero tensor given batch shape.
 
static Derived ones (const torch::TensorOptions &options=default_tensor_options())
 Unbatched unit tensor.
 
static Derived ones (TensorShapeRef batch_shape, const torch::TensorOptions &options=default_tensor_options())
 Unit tensor given batch shape.
 
static Derived full (Real init, const torch::TensorOptions &options=default_tensor_options())
 Unbatched tensor filled with a given value given base shape.
 
static Derived 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< Derived, 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.
 

Member Function Documentation

◆ cross()

template<class Derived >
template<class Derived2 >
Derived cross ( const VecBase< Derived2 > & v) const

cross product

◆ dot()

template<class Derived >
template<class Derived2 >
Scalar dot ( const VecBase< Derived2 > & v) const

dot product

◆ drotate() [1/2]

template<class Derived >
R3 drotate ( const R2 & R) const

Derivative of the rotated vector w.r.t. the rotation matrix.

◆ drotate() [2/2]

template<class Derived >
R2 drotate ( const Rot & r) const

Derivative of the rotated vector w.r.t. the Rodrigues vector.

◆ fill() [1/2]

template<class Derived >
Derived fill ( const Real & v1,
const Real & v2,
const Real & v3,
const torch::TensorOptions & options = default_tensor_options() )
static

◆ fill() [2/2]

template<class Derived >
Derived fill ( const Scalar & v1,
const Scalar & v2,
const Scalar & v3 )
static

◆ identity_map()

template<class Derived >
R2 identity_map ( const torch::TensorOptions & options = default_tensor_options())
static

The derivative of a vector with respect to itself.

◆ norm()

template<class Derived >
Scalar norm ( ) const

Norm.

◆ norm_sq()

template<class Derived >
Scalar norm_sq ( ) const

Norm squared.

◆ operator()()

template<class Derived >
Scalar operator() ( Size i) const

Accessor.

◆ outer()

template<class Derived >
template<class Derived2 >
R2 outer ( const VecBase< Derived2 > & v) const

outer product

◆ rotate() [1/2]

template<class Derived >
Derived rotate ( const R2 & R) const

Rotate using a rotation matrix.

◆ rotate() [2/2]

template<class Derived >
Derived rotate ( const Rot & r) const

Rotate using a Rodrigues vector.