#include <Tensor.h>

Public Member Functions
	Tensor ()

	Tensor (const SizeVector &shape, Dtype dtype, const Device &device=Device("CPU:0"))
	Constructor for creating a contiguous Tensor. More...

template<typename T >
	Tensor (const std::vector< T > &init_vals, const SizeVector &shape, Dtype dtype, const Device &device=Device("CPU:0"))
	Constructor for creating a contiguous Tensor with initial values. More...

template<typename T >
	Tensor (const T *init_vals, const SizeVector &shape, Dtype dtype, const Device &device=Device("CPU:0"))
	Constructor from raw host buffer. The memory will be copied. More...

	Tensor (const SizeVector &shape, const SizeVector &strides, void *data_ptr, Dtype dtype, const std::shared_ptr< Blob > &blob)

	Tensor (const Tensor &other)=default

	Tensor (Tensor &&other)=default

Tensor &	operator= (const Tensor &other) &

Tensor &	operator= (Tensor &&other) &

Tensor &	operator= (const Tensor &other) &&
	Tensor assignment rvalue = lvalue, e.g. `tensor_a[0] = tensor_b` More...

Tensor &	operator= (Tensor &&other) &&
	Tensor assignment rvalue = rvalue, e.g. `tensor_a[0] = tensor_b[0]` More...

template<typename T >
Tensor &	operator= (const T &v) &&

template<typename Object >
Tensor &	AssignObject (const Object &v) &&

template<typename Scalar >
void	Fill (Scalar v)
	Fill the whole Tensor with a scalar value, the scalar will be casted to the Tensor's dtype. More...

template<typename Object >
void	FillObject (const Object &v)

Tensor	GetItem (const TensorKey &tk) const

Tensor	GetItem (const std::vector< TensorKey > &tks) const

Tensor	SetItem (const Tensor &value)
	Set all items. Equivalent to `tensor[:] = value` in Python. More...

Tensor	SetItem (const TensorKey &tk, const Tensor &value)

Tensor	SetItem (const std::vector< TensorKey > &tks, const Tensor &value)

void	Assign (const Tensor &other)
	Assign (copy) values from another Tensor, shape, dtype, device may change. More...

Tensor	Broadcast (const SizeVector &dst_shape) const
	Broadcast Tensor to a new broadcastable shape. More...

Tensor	Expand (const SizeVector &dst_shape) const

Tensor	Reshape (const SizeVector &dst_shape) const

Tensor	View (const SizeVector &dst_shape) const

Tensor	Copy (const Device &device) const

Tensor	Copy () const
	Copy Tensor to the same device. More...

void	CopyFrom (const Tensor &other)
	Copy Tensor values to current tensor for source tensor. More...

void	ShallowCopyFrom (const Tensor &other)
	Shallow copy a tensor, returning a tensor sharing the same memory. More...

Tensor	To (Dtype dtype, bool copy=false) const

std::string	ToString (bool with_suffix=true, const std::string &indent="") const

Tensor	operator[] (int64_t i) const
	Extract the i-th Tensor along the first axis, returning a new view. More...

Tensor	IndexExtract (int64_t dim, int64_t idx) const

Tensor	Slice (int64_t dim, int64_t start, int64_t stop, int64_t step=1) const

Tensor	AsRvalue () const

Tensor	IndexGet (const std::vector< Tensor > &index_tensors) const
	Advanced indexing getter. More...

void	IndexSet (const std::vector< Tensor > &index_tensors, const Tensor &src_tensor)
	Advanced indexing getter. More...

Tensor	Permute (const SizeVector &dims) const
	Permute (dimension shuffle) the Tensor, returns a view. More...

Tensor	AsStrided (const SizeVector &new_shape, const SizeVector &new_strides) const
	Create a Tensor view of specified shape and strides. The underlying buffer and data_ptr offsets remain the same. More...

Tensor	Transpose (int64_t dim0, int64_t dim1) const
	Transpose a Tensor by swapping dimension `dim0` and `dim1`. More...

Tensor	T () const
	Expects input to be <= 2-D Tensor by swapping dimension 0 and 1. More...

double	Det () const
	Expects input to be 3x3 Matrix. More...

template<typename T >
T	Item () const

Tensor	Add (const Tensor &value) const
	Adds a tensor and returns the resulting tensor. More...

template<typename T >
Tensor	Add (T scalar_value) const

Tensor	operator+ (const Tensor &value) const

template<typename T >
Tensor	operator+ (T scalar_value) const

Tensor	Add_ (const Tensor &value)

template<typename T >
Tensor	Add_ (T scalar_value)

Tensor	operator+= (const Tensor &value)

template<typename T >
Tensor	operator+= (T scalar_value)

Tensor	Sub (const Tensor &value) const
	Substracts a tensor and returns the resulting tensor. More...

template<typename T >
Tensor	Sub (T scalar_value) const

Tensor	operator- (const Tensor &value) const

template<typename T >
Tensor	operator- (T scalar_value) const

Tensor	Sub_ (const Tensor &value)

template<typename T >
Tensor	Sub_ (T scalar_value)

Tensor	operator-= (const Tensor &value)

template<typename T >
Tensor	operator-= (T scalar_value)

Tensor	Mul (const Tensor &value) const
	Multiplies a tensor and returns the resulting tensor. More...

template<typename T >
Tensor	Mul (T scalar_value) const

Tensor	operator* (const Tensor &value) const

template<typename T >
Tensor	operator* (T scalar_value) const

Tensor	Mul_ (const Tensor &value)

template<typename T >
Tensor	Mul_ (T scalar_value)

Tensor	operator*= (const Tensor &value)

template<typename T >
Tensor	operator*= (T scalar_value)

Tensor	Div (const Tensor &value) const
	Divides a tensor and returns the resulting tensor. More...

template<typename T >
Tensor	Div (T scalar_value) const

Tensor	operator/ (const Tensor &value) const

template<typename T >
Tensor	operator/ (T scalar_value) const

Tensor	Div_ (const Tensor &value)

template<typename T >
Tensor	Div_ (T scalar_value)

Tensor	operator/= (const Tensor &value)

template<typename T >
Tensor	operator/= (T scalar_value)

Tensor	Sum (const SizeVector &dims, bool keepdim=false) const

Tensor	Mean (const SizeVector &dims, bool keepdim=false) const

Tensor	Prod (const SizeVector &dims, bool keepdim=false) const

Tensor	Min (const SizeVector &dims, bool keepdim=false) const

Tensor	Max (const SizeVector &dims, bool keepdim=false) const

Tensor	ArgMin (const SizeVector &dims) const

Tensor	ArgMax (const SizeVector &dims) const

Tensor	Sqrt () const
	Element-wise square root of a tensor, returns a new tensor. More...

Tensor	Sqrt_ ()
	Element-wise square root of a tensor, in-place. More...

Tensor	Sin () const
	Element-wise sine of a tensor, returning a new tensor. More...

Tensor	Sin_ ()
	Element-wise sine of a tensor, in-place. More...

Tensor	Cos () const
	Element-wise cosine of a tensor, returning a new tensor. More...

Tensor	Cos_ ()
	Element-wise cosine of a tensor, in-place. More...

Tensor	Neg () const
	Element-wise negation of a tensor, returning a new tensor. More...

Tensor	Neg_ ()
	Element-wise negation of a tensor, in-place. More...

Tensor	Exp () const
	Element-wise exponential of a tensor, returning a new tensor. More...

Tensor	Exp_ ()
	Element-wise base-e exponential of a tensor, in-place. More...

Tensor	Abs () const
	Element-wise absolute value of a tensor, returning a new tensor. More...

Tensor	Abs_ ()
	Element-wise absolute value of a tensor, in-place. More...

Tensor	LogicalNot () const

Tensor	LogicalNot_ ()

Tensor	LogicalAnd (const Tensor &value) const

Tensor	operator && (const Tensor &value) const

template<typename T >
Tensor	LogicalAnd (T scalar_value) const

Tensor	LogicalAnd_ (const Tensor &value)

template<typename T >
Tensor	LogicalAnd_ (T scalar_value)

Tensor	LogicalOr (const Tensor &value) const

Tensor	operator\|\| (const Tensor &value) const

template<typename T >
Tensor	LogicalOr (T scalar_value) const

Tensor	LogicalOr_ (const Tensor &value)

template<typename T >
Tensor	LogicalOr_ (T scalar_value)

Tensor	LogicalXor (const Tensor &value) const

template<typename T >
Tensor	LogicalXor (T scalar_value) const

Tensor	LogicalXor_ (const Tensor &value)

template<typename T >
Tensor	LogicalXor_ (T scalar_value)

Tensor	Gt (const Tensor &value) const
	Element-wise greater-than of tensors, returning a new boolean tensor. More...

Tensor	operator> (const Tensor &value) const

template<typename T >
Tensor	Gt (T scalar_value) const

Tensor	Gt_ (const Tensor &value)

template<typename T >
Tensor	Gt_ (T scalar_value)

Tensor	Lt (const Tensor &value) const
	Element-wise less-than of tensors, returning a new boolean tensor. More...

Tensor	operator< (const Tensor &value) const

template<typename T >
Tensor	Lt (T scalar_value) const

Tensor	Lt_ (const Tensor &value)

template<typename T >
Tensor	Lt_ (T scalar_value)

Tensor	Ge (const Tensor &value) const

Tensor	operator>= (const Tensor &value) const

template<typename T >
Tensor	Ge (T scalar_value) const

Tensor	Ge_ (const Tensor &value)

template<typename T >
Tensor	Ge_ (T scalar_value)

Tensor	Le (const Tensor &value) const

Tensor	operator<= (const Tensor &value) const

template<typename T >
Tensor	Le (T scalar_value) const

Tensor	Le_ (const Tensor &value)

template<typename T >
Tensor	Le_ (T scalar_value)

Tensor	Eq (const Tensor &value) const
	Element-wise equals-to of tensors, returning a new boolean tensor. More...

Tensor	operator== (const Tensor &value) const

template<typename T >
Tensor	Eq (T scalar_value) const

Tensor	Eq_ (const Tensor &value)

template<typename T >
Tensor	Eq_ (T scalar_value)

Tensor	Ne (const Tensor &value) const
	Element-wise not-equals-to of tensors, returning a new boolean tensor. More...

Tensor	operator!= (const Tensor &value) const

template<typename T >
Tensor	Ne (T scalar_value) const

Tensor	Ne_ (const Tensor &value)

template<typename T >
Tensor	Ne_ (T scalar_value)

std::vector< Tensor >	NonZeroNumpy () const

Tensor	NonZero () const

bool	IsNonZero () const

bool	All () const

bool	Any () const

bool	AllClose (const Tensor &other, double rtol=1e-5, double atol=1e-8) const

Tensor	IsClose (const Tensor &other, double rtol=1e-5, double atol=1e-8) const

bool	IsSame (const Tensor &other) const

template<typename T >
std::vector< T >	ToFlatVector () const
	Retrive all values as an std::vector, for debugging and testing. More...

bool	IsContiguous () const

Tensor	Contiguous () const

Tensor	Matmul (const Tensor &rhs) const

Tensor	Solve (const Tensor &rhs) const

Tensor	LeastSquares (const Tensor &rhs) const

Tensor	Inverse () const

std::tuple< Tensor, Tensor, Tensor >	SVD () const

int64_t	GetLength () const

SizeVector	GetShape () const

const SizeVector &	GetShapeRef () const

int64_t	GetShape (int64_t dim) const

SizeVector	GetStrides () const

const SizeVector &	GetStridesRef () const

int64_t	GetStride (int64_t dim) const

void *	GetDataPtr ()

const void *	GetDataPtr () const

Dtype	GetDtype () const

Device	GetDevice () const

std::shared_ptr< Blob >	GetBlob () const

int64_t	NumElements () const

int64_t	NumDims () const

template<typename T >
void	AssertTemplateDtype () const

DLManagedTensor *	ToDLPack () const
	Convert the Tensor to DLManagedTensor. More...

void	AssertShape (const SizeVector &expected_shape) const
	Assert that the Tensor has the specified shape. More...

void	AssertShapeCompatible (const DynamicSizeVector &expected_shape) const
	Assert that Tensor's shape is compatible with a dynamic shape. More...

void	AssertDevice (const Device &expected_device) const
	Assert that the Tensor has the specified device. More...

void	AssertDtype (const Dtype &expected_dtype) const
	Assert that the Tensor has the specified dtype. More...

template<>
	Tensor (const std::vector< bool > &init_vals, const SizeVector &shape, Dtype dtype, const Device &device)

template<>
std::vector< bool >	ToFlatVector () const

template<>
bool	Item () const

Static Public Member Functions
static Tensor	Empty (const SizeVector &shape, Dtype dtype, const Device &device=Device("CPU:0"))
	Create a tensor with uninitilized values. More...

static Tensor	EmptyLike (const Tensor &other)

template<typename T >
static Tensor	Full (const SizeVector &shape, T fill_value, Dtype dtype, const Device &device=Device("CPU:0"))
	Create a tensor fill with specified value. More...

static Tensor	Zeros (const SizeVector &shape, Dtype dtype, const Device &device=Device("CPU:0"))
	Create a tensor fill with zeros. More...

static Tensor	Ones (const SizeVector &shape, Dtype dtype, const Device &device=Device("CPU:0"))
	Create a tensor fill with ones. More...

static Tensor	Eye (int64_t n, Dtype dtype, const Device &device)
	Create a identity matrix of size n x n. More...

static Tensor	Diag (const Tensor &input)
	Create a square matrix with specified diagonal elements in input. More...

static SizeVector	DefaultStrides (const SizeVector &shape)

static std::pair< bool, SizeVector >	ComputeNewStrides (const SizeVector &old_shape, const SizeVector &old_strides, const SizeVector &new_shape)

static Tensor	FromDLPack (const DLManagedTensor *dlmt)
	Convert DLManagedTensor to Tensor. More...

Protected Member Functions
std::string	ScalarPtrToString (const void *ptr) const

Protected Attributes
SizeVector	shape_ = {0}

SizeVector	strides_ = {1}

void *	data_ptr_ = nullptr

Dtype	dtype_ = Dtype::Undefined
	Data type. More...

std::shared_ptr< Blob >	blob_ = nullptr
	Underlying memory buffer for Tensor. More...

Detailed Description

A Tensor is a "view" of a data Blob with shape, stride, data_ptr. Tensor can also be used to perform numerical operations.

Constructor & Destructor Documentation

◆ Tensor() [1/8]

open3d::core::Tensor::Tensor ( )

inline

◆ Tensor() [2/8]

open3d::core::Tensor::Tensor	(	const SizeVector &	shape,
		Dtype	dtype,
		const Device &	device = `Device("CPU:0")`
	)

inline

Constructor for creating a contiguous Tensor.

◆ Tensor() [3/8]

template<typename T >

open3d::core::Tensor::Tensor	(	const std::vector< T > &	init_vals,
		const SizeVector &	shape,
		Dtype	dtype,
		const Device &	device = `Device("CPU:0")`
	)

inline

Constructor for creating a contiguous Tensor with initial values.

◆ Tensor() [4/8]

template<typename T >

open3d::core::Tensor::Tensor	(	const T *	init_vals,
		const SizeVector &	shape,
		Dtype	dtype,
		const Device &	device = `Device("CPU:0")`
	)

inline

Constructor from raw host buffer. The memory will be copied.

◆ Tensor() [5/8]

open3d::core::Tensor::Tensor	(	const SizeVector &	shape,
		const SizeVector &	strides,
		void *	data_ptr,
		Dtype	dtype,
		const std::shared_ptr< Blob > &	blob
	)

inline

The fully specified constructor. Since you're responsible for creating the Blob, take care of Blob's deleter if the memory is allocated elsewhere. See Blob.h for more details.

◆ Tensor() [6/8]

open3d::core::Tensor::Tensor ( const Tensor & other )

default

Copy constructor performs a "shallow" copy of the Tensor. This takes a lvalue input, e.g. Tensor dst(src).

◆ Tensor() [7/8]

open3d::core::Tensor::Tensor ( Tensor && other )

default

Move constructor performs a "shallow" copy of the Tensor. This takes a rvalue input, e.g. Tensor dst(src[0]).

◆ Tensor() [8/8]

template<>

open3d::core::Tensor::Tensor	(	const std::vector< bool > &	init_vals,
		const SizeVector &	shape,
		Dtype	dtype,
		const Device &	device
	)

inline

Member Function Documentation

◆ Abs()

Tensor open3d::core::Tensor::Abs ( ) const

Element-wise absolute value of a tensor, returning a new tensor.

◆ Abs_()

Tensor open3d::core::Tensor::Abs_ ( )

Element-wise absolute value of a tensor, in-place.

◆ Add() [1/2]

Tensor open3d::core::Tensor::Add ( const Tensor & value ) const

Adds a tensor and returns the resulting tensor.

◆ Add() [2/2]

template<typename T >

Tensor open3d::core::Tensor::Add ( T scalar_value ) const

inline

◆ Add_() [1/2]

Tensor open3d::core::Tensor::Add_ ( const Tensor & value )

Inplace version of Tensor::Add. Adds a tensor to the current tensor and returns the current tensor.

◆ Add_() [2/2]

template<typename T >

Tensor open3d::core::Tensor::Add_ ( T scalar_value )

inline

◆ All()

bool open3d::core::Tensor::All ( ) const

Returns true if all elements in the tensor are true. Only works for boolean tensors. This function does not take reduction dimensions, and the reduction is apply to all dimensions.

◆ AllClose()

bool open3d::core::Tensor::AllClose	(	const Tensor &	other,
		double	rtol = `1e-5`,
		double	atol = `1e-8`
	)		const

Returns true if the two tensors are element-wise equal within a tolerance.

If the device is not the same: throws exception.
If the dtype is not the same: throws exception.
If the shape is not the same: returns false.
Returns true if: abs(self - other) <= (atol + rtol * abs(other)).

The equation is not symmetrial, i.e. a.AllClose(b) might not be the same as b.AllClose(a). Also see Numpy's documentation: https://numpy.org/doc/stable/reference/generated/numpy.allclose.html.

TODO: support nan

Parameters

other	The other tensor to compare with.
rtol	Relative tolerance.
atol	Absolute tolerance.

◆ Any()

bool open3d::core::Tensor::Any ( ) const

Returns true if any elements in the tensor are true. Only works for boolean tensors. This function does not take reduction dimensions, and the reduction is apply to all dimensions.

◆ ArgMax()

Tensor open3d::core::Tensor::ArgMax ( const SizeVector & dims ) const

Returns maximum index of the tensor along the given dim. The returned tensor has dtype int64_t, and has the same shape as original tensor except that the reduced dimension is removed.

Parameters

dims	`dims` can only contain a single dimension or all dimensions. If `dims` contains a single dimension, the index is along the specified dimension. If `dims` contains all dimensions, the index is into the flattend tensor.

◆ ArgMin()

Tensor open3d::core::Tensor::ArgMin ( const SizeVector & dims ) const

Returns minimum index of the tensor along the given dim. The returned tensor has dtype int64_t, and has the same shape as original tensor except that the reduced dimension is removed.

Parameters

dims	`dims` can only contain a single dimension or all dimensions. If `dims` contains a single dimension, the index is along the specified dimension. If `dims` contains all dimensions, the index is into the flattend tensor.

◆ AsRvalue()

Tensor open3d::core::Tensor::AsRvalue ( ) const

inline

Convert to rvalue such that the Tensor can be assigned. E.g. in numpy

tensor_a = tensor_b     # tensor_a is lvalue, tensor_a variable will
                        # now reference tensor_b, that is, tensor_a
                        # and tensor_b share exactly the same memory.
tensor_a[:] = tensor_b  # tensor_a[:] is rvalue, tensor_b's values are
                        # assigned to tensor_a's memory.

◆ AssertDevice()

void open3d::core::Tensor::AssertDevice ( const Device & expected_device ) const

Assert that the Tensor has the specified device.

◆ AssertDtype()

void open3d::core::Tensor::AssertDtype ( const Dtype & expected_dtype ) const

Assert that the Tensor has the specified dtype.

◆ AssertShape()

void open3d::core::Tensor::AssertShape ( const SizeVector & expected_shape ) const

Assert that the Tensor has the specified shape.

◆ AssertShapeCompatible()

void open3d::core::Tensor::AssertShapeCompatible ( const DynamicSizeVector & expected_shape ) const

Assert that Tensor's shape is compatible with a dynamic shape.

◆ AssertTemplateDtype()

template<typename T >

void open3d::core::Tensor::AssertTemplateDtype ( ) const

inline

◆ Assign()

void open3d::core::Tensor::Assign ( const Tensor & other )

Assign (copy) values from another Tensor, shape, dtype, device may change.

Assign (copy) values from another Tensor, shape, dtype, device may change. Slices of the original Tensor still keeps the original memory. After assignment, the Tensor will be contiguous.

◆ AssignObject()

template<typename Object >

Tensor& open3d::core::Tensor::AssignObject ( const Object & v ) &&

inline

Assign an object to a tensor. The tensor being assigned to must be a scalr tensor of shape {}. The element byte size of the tensor must be the same as the size of the object. The object must be a POD.

◆ AsStrided()

Tensor open3d::core::Tensor::AsStrided	(	const SizeVector &	new_shape,
		const SizeVector &	new_strides
	)		const

Create a Tensor view of specified shape and strides. The underlying buffer and data_ptr offsets remain the same.

◆ Broadcast()

Tensor open3d::core::Tensor::Broadcast ( const SizeVector & dst_shape ) const

Broadcast Tensor to a new broadcastable shape.

◆ ComputeNewStrides()

std::pair< bool, SizeVector > open3d::core::Tensor::ComputeNewStrides	(	const SizeVector &	old_shape,
		const SizeVector &	old_strides,
		const SizeVector &	new_shape
	)

static

Separate oldshape into chunks of dimensions, where the dimensions are ``contiguous'' in each chunk, i.e., oldstride[i] = oldshape[i+1] * oldstride[i+1]
newshape must be able to be separated into same number of chunks as oldshape was separated into, where each chunk of newshape has matching ``numel'', i.e., number of subspaces, as the corresponding chunk of oldshape. Ref: aten/src/ATen/TensorUtils.cpp

◆ Contiguous()

Tensor open3d::core::Tensor::Contiguous ( ) const

Returns a contiguous Tensor containing the same data in the same device. If self tensor is already contiguous, the same underlying memory will be used.

◆ Copy() [1/2]

Tensor open3d::core::Tensor::Copy ( const Device & device ) const

Copy Tensor to a specified device. The resulting Tensor will be compacted and contiguous.

◆ Copy() [2/2]

Tensor open3d::core::Tensor::Copy ( ) const

inline

Copy Tensor to the same device.

◆ CopyFrom()

void open3d::core::Tensor::CopyFrom ( const Tensor & other )

Copy Tensor values to current tensor for source tensor.

◆ Cos()

Tensor open3d::core::Tensor::Cos ( ) const

Element-wise cosine of a tensor, returning a new tensor.

◆ Cos_()

Tensor open3d::core::Tensor::Cos_ ( )

Element-wise cosine of a tensor, in-place.

◆ DefaultStrides()

SizeVector open3d::core::Tensor::DefaultStrides ( const SizeVector & shape )

static

◆ Det()

double open3d::core::Tensor::Det ( ) const

Expects input to be 3x3 Matrix.

Returns: returns the determinant of the matrix (double).

◆ Diag()

Tensor open3d::core::Tensor::Diag ( const Tensor & input )

static

Create a square matrix with specified diagonal elements in input.

◆ Div() [1/2]

Tensor open3d::core::Tensor::Div ( const Tensor & value ) const

Divides a tensor and returns the resulting tensor.

◆ Div() [2/2]

template<typename T >

Tensor open3d::core::Tensor::Div ( T scalar_value ) const

inline

◆ Div_() [1/2]

Tensor open3d::core::Tensor::Div_ ( const Tensor & value )

Inplace version of Tensor::Div. Divides a tensor to the current tensor and returns the current tensor.

◆ Div_() [2/2]

template<typename T >

Tensor open3d::core::Tensor::Div_ ( T scalar_value )

inline

◆ Empty()

Tensor open3d::core::Tensor::Empty	(	const SizeVector &	shape,
		Dtype	dtype,
		const Device &	device = `Device("CPU:0")`
	)

static

Create a tensor with uninitilized values.

◆ EmptyLike()

static Tensor open3d::core::Tensor::EmptyLike ( const Tensor & other )

inlinestatic

Create a tensor with uninitilized values with the same dtype and device as the other tensor.

◆ Eq() [1/2]

Tensor open3d::core::Tensor::Eq ( const Tensor & value ) const

Element-wise equals-to of tensors, returning a new boolean tensor.

◆ Eq() [2/2]

template<typename T >

Tensor open3d::core::Tensor::Eq ( T scalar_value ) const

inline

◆ Eq_() [1/2]

Tensor open3d::core::Tensor::Eq_ ( const Tensor & value )

Element-wise equals-to of tensors, in-place. This operation won't change the tensor's dtype.

◆ Eq_() [2/2]

template<typename T >

Tensor open3d::core::Tensor::Eq_ ( T scalar_value )

inline

◆ Exp()

Tensor open3d::core::Tensor::Exp ( ) const

Element-wise exponential of a tensor, returning a new tensor.

◆ Exp_()

Tensor open3d::core::Tensor::Exp_ ( )

Element-wise base-e exponential of a tensor, in-place.

◆ Expand()

Tensor open3d::core::Tensor::Expand ( const SizeVector & dst_shape ) const

Expand Tensor to a new broadcastable shape, returning a new view.

Tensors can be expanded to broadcastable shape by setting dimension of size 1 to have stride 0, without allocating new memory.

◆ Eye()

Tensor open3d::core::Tensor::Eye	(	int64_t	n,
		Dtype	dtype,
		const Device &	device
	)

static

Create a identity matrix of size n x n.

◆ Fill()

template<typename Scalar >

void open3d::core::Tensor::Fill ( Scalar v )

inline

Fill the whole Tensor with a scalar value, the scalar will be casted to the Tensor's dtype.

◆ FillObject()

template<typename Object >

void open3d::core::Tensor::FillObject ( const Object & v )

inline

◆ FromDLPack()

Tensor open3d::core::Tensor::FromDLPack ( const DLManagedTensor * dlmt )

static

Convert DLManagedTensor to Tensor.

◆ Full()

template<typename T >

static Tensor open3d::core::Tensor::Full	(	const SizeVector &	shape,
		T	fill_value,
		Dtype	dtype,
		const Device &	device = `Device("CPU:0")`
	)

inlinestatic

Create a tensor fill with specified value.

◆ Ge() [1/2]

Tensor open3d::core::Tensor::Ge ( const Tensor & value ) const

Element-wise greater-than-or-equals-to of tensors, returning a new boolean tensor.

◆ Ge() [2/2]

template<typename T >

Tensor open3d::core::Tensor::Ge ( T scalar_value ) const

inline

◆ Ge_() [1/2]

Tensor open3d::core::Tensor::Ge_ ( const Tensor & value )

Element-wise greater-than-or-equals-to of tensors, in-place. This operation won't change the tensor's dtype.

◆ Ge_() [2/2]

template<typename T >

Tensor open3d::core::Tensor::Ge_ ( T scalar_value )

inline

◆ GetBlob()

std::shared_ptr<Blob> open3d::core::Tensor::GetBlob ( ) const

inline

◆ GetDataPtr() [1/2]

void* open3d::core::Tensor::GetDataPtr ( )

inline

◆ GetDataPtr() [2/2]

const void* open3d::core::Tensor::GetDataPtr ( ) const

inline

◆ GetDevice()

Device open3d::core::Tensor::GetDevice ( ) const

◆ GetDtype()

Dtype open3d::core::Tensor::GetDtype ( ) const

inline

◆ GetItem() [1/2]

Tensor open3d::core::Tensor::GetItem ( const TensorKey & tk ) const

Pythonic getitem for tensor.

Returns a view of the original tensor, if TensorKey is TensorKeyMode::Index or TensorKeyMode::Slice. Returns a copy if the TensorKey contains TensorKeyMode::IndexTensor (advanced indexing).

For example, in numpy:

t = np.empty((4, 5), dtype=np.float32)
t1 = t[2]
t2 = t[0:4:2]

The equivalent Open3D C++ calls:

Tensor t({4, 5}, Dtype::Float32);
Tensor t1 = t.GetItem(TensorIndex(2));
Tensor t2 = t.GetItem(TensorSlice(0, 4, 2));

◆ GetItem() [2/2]

Tensor open3d::core::Tensor::GetItem ( const std::vector< TensorKey > & tks ) const

Pythonic getitem for tensor.

Returns a view of the original tensor, if TensorKey only contains TensorKeyMode::Index or TensorKeyMode::Slice. Returns a copy if the TensorKey contains IndexTensor (advanced indexing).

For example, in numpy:

t = np.empty((4, 5), dtype=np.float32)

t1 = t[1, 0:4:2]

The equivalent Open3D C++ calls:

Tensor t({4, 5}, Dtype::Float32);

Tensor t1 = t.GetItem({TensorIndex(2), TensorSlice(0, 4, 2)});

◆ GetLength()

int64_t open3d::core::Tensor::GetLength ( ) const

inline

Returns the size of the first dimension. If NumDims() == 0, an exception will be thrown.

◆ GetShape() [1/2]

SizeVector open3d::core::Tensor::GetShape ( ) const

inline

◆ GetShape() [2/2]

int64_t open3d::core::Tensor::GetShape ( int64_t dim ) const

inline

◆ GetShapeRef()

const SizeVector& open3d::core::Tensor::GetShapeRef ( ) const

inline

◆ GetStride()

int64_t open3d::core::Tensor::GetStride ( int64_t dim ) const

inline

◆ GetStrides()

SizeVector open3d::core::Tensor::GetStrides ( ) const

inline

◆ GetStridesRef()

const SizeVector& open3d::core::Tensor::GetStridesRef ( ) const

inline

◆ Gt() [1/2]

Tensor open3d::core::Tensor::Gt ( const Tensor & value ) const

Element-wise greater-than of tensors, returning a new boolean tensor.

◆ Gt() [2/2]

template<typename T >

Tensor open3d::core::Tensor::Gt ( T scalar_value ) const

inline

◆ Gt_() [1/2]

Tensor open3d::core::Tensor::Gt_ ( const Tensor & value )

Element-wise greater-than of tensors, in-place. This operation won't change the tensor's dtype.

◆ Gt_() [2/2]

template<typename T >

Tensor open3d::core::Tensor::Gt_ ( T scalar_value )

inline

◆ IndexExtract()

Tensor open3d::core::Tensor::IndexExtract	(	int64_t	dim,
		int64_t	idx
	)		const

Extract the idx -th sub-tensor in dimension dim. After IndexExtract, the dimension dim will be removed.

◆ IndexGet()

Tensor open3d::core::Tensor::IndexGet ( const std::vector< Tensor > & index_tensors ) const

Advanced indexing getter.

We use the Numpy advanced indexing symnatics, see: https://docs.scipy.org/doc/numpy/reference/arrays.indexing.html

◆ IndexSet()

void open3d::core::Tensor::IndexSet	(	const std::vector< Tensor > &	index_tensors,
		const Tensor &	src_tensor
	)

Advanced indexing getter.

We use the Numpy advanced indexing symnatics, see: https://docs.scipy.org/doc/numpy/reference/arrays.indexing.html

Note: Only support 1D index tensors. Note: Only support advanced indices are all next to each other.

◆ Inverse()

Tensor open3d::core::Tensor::Inverse ( ) const

Computes the matrix inversion of the square matrix *this with LU factorization and returns the result.

◆ IsClose()

Tensor open3d::core::Tensor::IsClose	(	const Tensor &	other,
		double	rtol = `1e-5`,
		double	atol = `1e-8`
	)		const

Element-wise version of Tensor::AllClose.

If the device is not the same: throws exception.
If the dtype is not the same: throws exception.
If the shape is not the same: throws exception.
For each element in the returned tensor: abs(self - other) <= (atol + rtol * abs(other)).

The equation is not symmetrial, i.e. a.AllClose(b) might not be the same as b.AllClose(a). Also see Numpy's documentation: https://numpy.org/doc/stable/reference/generated/numpy.allclose.html.

TODO: support nan

Parameters

other	The other tensor to compare with.
rtol	Relative tolerance.
atol	Absolute tolerance.

Returns: A boolean tensor indicating whether the tensor is close.

◆ IsContiguous()

bool open3d::core::Tensor::IsContiguous ( ) const

inline

Returns True if the underlying memory buffer is contiguous. A contiguous Tensor's data_ptr_ does not need to point to the beginning of blob_.

◆ IsNonZero()

bool open3d::core::Tensor::IsNonZero ( ) const

Evaluate a single-element Tensor as a boolean value. This can be used to implement Tensor.__bool__() in Python, e.g.

assert Tensor([True])         # Passes.
assert Tensor([123])          # Passes.
assert Tensor([False])        # AssertionError.
assert Tensor([0])            # AssertionError.
assert Tensor([True, False])  # ValueError: cannot be evaluated as bool.

◆ IsSame()

bool open3d::core::Tensor::IsSame ( const Tensor & other ) const

Returns true iff the tensor is the other tensor. This means that, the two tensors have the same underlying memory, device, dtype, shape, strides and etc.

◆ Item() [1/2]

template<typename T >

T open3d::core::Tensor::Item ( ) const

inline

Helper function to return scalar value of a scalar Tensor, the Tensor mush have empty shape ()

◆ Item() [2/2]

template<>

bool open3d::core::Tensor::Item ( ) const

inline

◆ Le() [1/2]

Tensor open3d::core::Tensor::Le ( const Tensor & value ) const

Element-wise less-than-or-equals-to of tensors, returning a new boolean tensor.

◆ Le() [2/2]

template<typename T >

Tensor open3d::core::Tensor::Le ( T scalar_value ) const

inline

◆ Le_() [1/2]

Tensor open3d::core::Tensor::Le_ ( const Tensor & value )

Element-wise less-than-or-equals-to of tensors, in-place. This operation won't change the tensor's dtype.

◆ Le_() [2/2]

template<typename T >

Tensor open3d::core::Tensor::Le_ ( T scalar_value )

inline

◆ LeastSquares()

Tensor open3d::core::Tensor::LeastSquares ( const Tensor & rhs ) const

Solves the linear system AX = B with QR decomposition and returns X. A is a (m, n) matrix with m >= n.

◆ LogicalAnd() [1/2]

Tensor open3d::core::Tensor::LogicalAnd ( const Tensor & value ) const

Element-wise logical and of a tensor, returning a new boolean tensor.

If the tensor is not boolean, zero will be treated as False, while non-zero values will be treated as True.

◆ LogicalAnd() [2/2]

template<typename T >

Tensor open3d::core::Tensor::LogicalAnd ( T scalar_value ) const

inline

◆ LogicalAnd_() [1/2]

Tensor open3d::core::Tensor::LogicalAnd_ ( const Tensor & value )

Element-wise logical and of tensors, in-place. This operation won't change the tensor's dtype.

If the tensor is not boolean, 0 will be treated as False, while non-zero will be treated as True. The tensor will be filled with 0 or 1 casted to the tensor's dtype.

◆ LogicalAnd_() [2/2]

template<typename T >

Tensor open3d::core::Tensor::LogicalAnd_ ( T scalar_value )

inline

◆ LogicalNot()

Tensor open3d::core::Tensor::LogicalNot ( ) const

Element-wise logical not of a tensor, returning a new boolean tensor.

If the tensor is not boolean, 0 will be treated as False, while non-zero will be treated as True.

◆ LogicalNot_()

Tensor open3d::core::Tensor::LogicalNot_ ( )

Element-wise logical not of a tensor, in-place. This operation won't change the tensor's dtype.

If the tensor is not boolean, 0 will be treated as False, while non-zero will be treated as True. The tensor will be filled with 0 or 1 casted to the tensor's dtype.

◆ LogicalOr() [1/2]

Tensor open3d::core::Tensor::LogicalOr ( const Tensor & value ) const

Element-wise logical or of tensors, returning a new boolean tensor.

If the tensor is not boolean, zero will be treated as False, while non-zero values will be treated as True.

◆ LogicalOr() [2/2]

template<typename T >

Tensor open3d::core::Tensor::LogicalOr ( T scalar_value ) const

inline

◆ LogicalOr_() [1/2]

Tensor open3d::core::Tensor::LogicalOr_ ( const Tensor & value )

Element-wise logical or of tensors, in-place. This operation won't change the tensor's dtype.

If the tensor is not boolean, 0 will be treated as False, while non-zero will be treated as True. The tensor will be filled with 0 or 1 casted to the tensor's dtype.

◆ LogicalOr_() [2/2]

template<typename T >

Tensor open3d::core::Tensor::LogicalOr_ ( T scalar_value )

inline

◆ LogicalXor() [1/2]

Tensor open3d::core::Tensor::LogicalXor ( const Tensor & value ) const

Element-wise logical exclusive-or of tensors, returning a new boolean tensor.

If the tensor is not boolean, zero will be treated as False, while non-zero values will be treated as True.

◆ LogicalXor() [2/2]

template<typename T >

Tensor open3d::core::Tensor::LogicalXor ( T scalar_value ) const

inline

◆ LogicalXor_() [1/2]

Tensor open3d::core::Tensor::LogicalXor_ ( const Tensor & value )

Element-wise logical exclusive-or of tensors, in-place. This operation won't change the tensor's dtype.

If the tensor is not boolean, zero will be treated as False, while non-zero values will be treated as True. The tensor will be filled with 0 or 1 casted to the tensor's dtype.

◆ LogicalXor_() [2/2]

template<typename T >

Tensor open3d::core::Tensor::LogicalXor_ ( T scalar_value )

inline

◆ Lt() [1/2]

Tensor open3d::core::Tensor::Lt ( const Tensor & value ) const

Element-wise less-than of tensors, returning a new boolean tensor.

◆ Lt() [2/2]

template<typename T >

Tensor open3d::core::Tensor::Lt ( T scalar_value ) const

inline

◆ Lt_() [1/2]

Tensor open3d::core::Tensor::Lt_ ( const Tensor & value )

Element-wise less-than of tensors, in-place. This operation won't change the tensor's dtype.

◆ Lt_() [2/2]

template<typename T >

Tensor open3d::core::Tensor::Lt_ ( T scalar_value )

inline

◆ Matmul()

Tensor open3d::core::Tensor::Matmul ( const Tensor & rhs ) const

Computes matrix multiplication with *this and rhs and returns the result.

◆ Max()

Tensor open3d::core::Tensor::Max	(	const SizeVector &	dims,
		bool	keepdim = `false`
	)		const

Returns max of the tensor along the given dims.

Parameters

dims	A list of dimensions to be reduced.
keepdim	If true, the reduced dims will be retained as size 1.

◆ Mean()

Tensor open3d::core::Tensor::Mean	(	const SizeVector &	dims,
		bool	keepdim = `false`
	)		const

Returns the mean of the tensor along the given dims.

Parameters

dims	A list of dimensions to be reduced.
keepdim	If true, the reduced dims will be retained as size 1.

◆ Min()

Tensor open3d::core::Tensor::Min	(	const SizeVector &	dims,
		bool	keepdim = `false`
	)		const

Returns min of the tensor along the given dims.

Parameters

dims	A list of dimensions to be reduced.
keepdim	If true, the reduced dims will be retained as size 1.

◆ Mul() [1/2]

Tensor open3d::core::Tensor::Mul ( const Tensor & value ) const

Multiplies a tensor and returns the resulting tensor.

◆ Mul() [2/2]

template<typename T >

Tensor open3d::core::Tensor::Mul ( T scalar_value ) const

inline

◆ Mul_() [1/2]

Tensor open3d::core::Tensor::Mul_ ( const Tensor & value )

Inplace version of Tensor::Mul. Multiplies a tensor to the current tensor and returns the current tensor.

◆ Mul_() [2/2]

template<typename T >

Tensor open3d::core::Tensor::Mul_ ( T scalar_value )

inline

◆ Ne() [1/2]

Tensor open3d::core::Tensor::Ne ( const Tensor & value ) const

Element-wise not-equals-to of tensors, returning a new boolean tensor.

◆ Ne() [2/2]

template<typename T >

Tensor open3d::core::Tensor::Ne ( T scalar_value ) const

inline

◆ Ne_() [1/2]

Tensor open3d::core::Tensor::Ne_ ( const Tensor & value )

Element-wise equals-to of tensors, in-place. This operation won't change the tensor's dtype.

◆ Ne_() [2/2]

template<typename T >

Tensor open3d::core::Tensor::Ne_ ( T scalar_value )

inline

◆ Neg()

Tensor open3d::core::Tensor::Neg ( ) const

Element-wise negation of a tensor, returning a new tensor.

◆ Neg_()

Tensor open3d::core::Tensor::Neg_ ( )

Element-wise negation of a tensor, in-place.

◆ NonZero()

Tensor open3d::core::Tensor::NonZero ( ) const

Find the indices of the elements that are non-zero. Returns an int64 tensor of shape {num_dims, num_non_zeros}, where the i-th row contains the indices of the non-zero elements in i-th dimension of the original tensor.

◆ NonZeroNumpy()

std::vector< Tensor > open3d::core::Tensor::NonZeroNumpy ( ) const

Find the indices of the elements that are non-zero. Returns a vector of int64 Tensors, each containing the indices of the non-zero elements in each dimension.

◆ NumDims()

int64_t open3d::core::Tensor::NumDims ( ) const

inline

◆ NumElements()

int64_t open3d::core::Tensor::NumElements ( ) const

inline

◆ Ones()

Tensor open3d::core::Tensor::Ones	(	const SizeVector &	shape,
		Dtype	dtype,
		const Device &	device = `Device("CPU:0")`
	)

static

Create a tensor fill with ones.

◆ operator &&()

Tensor open3d::core::Tensor::operator&& ( const Tensor & value ) const

inline

◆ operator!=()

Tensor open3d::core::Tensor::operator!= ( const Tensor & value ) const

inline

◆ operator*() [1/2]

Tensor open3d::core::Tensor::operator* ( const Tensor & value ) const

inline

◆ operator*() [2/2]

template<typename T >

Tensor open3d::core::Tensor::operator* ( T scalar_value ) const

inline

◆ operator*=() [1/2]

Tensor open3d::core::Tensor::operator*= ( const Tensor & value )

inline

◆ operator*=() [2/2]

template<typename T >

Tensor open3d::core::Tensor::operator*= ( T scalar_value )

inline

◆ operator+() [1/2]

Tensor open3d::core::Tensor::operator+ ( const Tensor & value ) const

inline

◆ operator+() [2/2]

template<typename T >

Tensor open3d::core::Tensor::operator+ ( T scalar_value ) const

inline

◆ operator+=() [1/2]

Tensor open3d::core::Tensor::operator+= ( const Tensor & value )

inline

◆ operator+=() [2/2]

template<typename T >

Tensor open3d::core::Tensor::operator+= ( T scalar_value )

inline

◆ operator-() [1/2]

Tensor open3d::core::Tensor::operator- ( const Tensor & value ) const

inline

◆ operator-() [2/2]

template<typename T >

Tensor open3d::core::Tensor::operator- ( T scalar_value ) const

inline

◆ operator-=() [1/2]

Tensor open3d::core::Tensor::operator-= ( const Tensor & value )

inline

◆ operator-=() [2/2]

template<typename T >

Tensor open3d::core::Tensor::operator-= ( T scalar_value )

inline

◆ operator/() [1/2]

Tensor open3d::core::Tensor::operator/ ( const Tensor & value ) const

inline

◆ operator/() [2/2]

template<typename T >

Tensor open3d::core::Tensor::operator/ ( T scalar_value ) const

inline

◆ operator/=() [1/2]

Tensor open3d::core::Tensor::operator/= ( const Tensor & value )

inline

◆ operator/=() [2/2]

template<typename T >

Tensor open3d::core::Tensor::operator/= ( T scalar_value )

inline

◆ operator<()

Tensor open3d::core::Tensor::operator< ( const Tensor & value ) const

inline

◆ operator<=()

Tensor open3d::core::Tensor::operator<= ( const Tensor & value ) const

inline

◆ operator=() [1/5]

Tensor & open3d::core::Tensor::operator= ( const Tensor & other ) &

Tensor assignment lvalue = lvalue, e.g. tensor_a = tensor_b. This results in a "shallow" copy.

◆ operator=() [2/5]

Tensor & open3d::core::Tensor::operator= ( Tensor && other ) &

Tensor assignment lvalue = rvalue, e.g. tensor_a = tensor_b[0]. This results in a "shallow" copy.

◆ operator=() [3/5]

Tensor & open3d::core::Tensor::operator= ( const Tensor & other ) &&

Tensor assignment rvalue = lvalue, e.g. tensor_a[0] = tensor_b

Tensor assignment rvalue = lvalue, e.g. tensor_a[0] = tensor_b. An actual copy of the data will be performed.

◆ operator=() [4/5]

Tensor & open3d::core::Tensor::operator= ( Tensor && other ) &&

Tensor assignment rvalue = rvalue, e.g. tensor_a[0] = tensor_b[0]

Tensor assignment rvalue = rvalue, e.g. tensor_a[0] = tensor_b[0]. An actual copy of the data will be performed.

◆ operator=() [5/5]

template<typename T >

Tensor& open3d::core::Tensor::operator= ( const T & v ) &&

inline

Tensor assignment rvalue = rvalue_scalar, e.g. tensor_a[0] = 100 Implicit casting is performed to the underlying dtype.

Note that we don't have lvalue = rvalue_scalar, e.g. we don't support Tensor a_slice = tensor_a[0]; a_slice = 100;

◆ operator==()

Tensor open3d::core::Tensor::operator== ( const Tensor & value ) const

inline

◆ operator>()

Tensor open3d::core::Tensor::operator> ( const Tensor & value ) const

inline

◆ operator>=()

Tensor open3d::core::Tensor::operator>= ( const Tensor & value ) const

inline

◆ operator[]()

Tensor open3d::core::Tensor::operator[] ( int64_t i ) const

Extract the i-th Tensor along the first axis, returning a new view.

◆ operator||()

Tensor open3d::core::Tensor::operator|| ( const Tensor & value ) const

inline

◆ Permute()

Tensor open3d::core::Tensor::Permute ( const SizeVector & dims ) const

Permute (dimension shuffle) the Tensor, returns a view.

Parameters

dims	The desired ordering of dimensions.

Returns: A Tensor with the desired ordering of the dimensions.

◆ Prod()

Tensor open3d::core::Tensor::Prod	(	const SizeVector &	dims,
		bool	keepdim = `false`
	)		const

Returns the product of the tensor along the given dims.

Parameters

dims	A list of dimensions to be reduced.
keepdim	If true, the reduced dims will be retained as size 1.

◆ Reshape()

Tensor open3d::core::Tensor::Reshape ( const SizeVector & dst_shape ) const

Returns a tensor with the same data and number of elements as input, but with the specified shape. When possible, the returned tensor will be a view of input. Otherwise, it will be a copy.

Contiguous inputs and inputs with compatible strides can be reshaped without copying, but you should not depend on the copying vs. viewing behavior.

Ref: https://pytorch.org/docs/stable/tensors.html aten/src/ATen/native/TensorShape.cpp aten/src/ATen/TensorUtils.cpp

◆ ScalarPtrToString()

std::string open3d::core::Tensor::ScalarPtrToString ( const void * ptr ) const

protected

◆ SetItem() [1/3]

Tensor open3d::core::Tensor::SetItem ( const Tensor & value )

Set all items. Equivalent to tensor[:] = value in Python.

◆ SetItem() [2/3]

Tensor open3d::core::Tensor::SetItem	(	const TensorKey &	tk,
		const Tensor &	value
	)

Pythonic setitem for tensor.

For example, in numpy:

t = np.empty((4, 5), dtype=np.float32)
t[2] = np.empty((5,), dtype=np.float32)
t[0:4:2] = np.empty((2, 5), dtype=np.float32)

The equivalent Open3D C++ calls:

Tensor t({4, 5}, Dtype::Float32);
t.SetItem(TensorIndex(2), Tensor({5}, Dtype::Float32));
t.SetItem(TensorSlice(0, 4, 2), Tensor({2, 5}, Dtype::Float32));

◆ SetItem() [3/3]

Tensor open3d::core::Tensor::SetItem	(	const std::vector< TensorKey > &	tks,
		const Tensor &	value
	)

Pythonic setitem for tensor.

For example, in numpy:

t = np.empty((4, 5), dtype=np.float32)

t[2, 0:4:2] = np.empty((2, 5), dtype=np.float32)

The equivalent Open3D C++ calls:

Tensor t({4, 5}, Dtype::Float32);
t.SetItem({TensorIndex(2), TensorSlice(0, 4, 2)},
          Tensor({2, 5}, Dtype::Float32));

◆ ShallowCopyFrom()

void open3d::core::Tensor::ShallowCopyFrom ( const Tensor & other )

Shallow copy a tensor, returning a tensor sharing the same memory.

◆ Sin()

Tensor open3d::core::Tensor::Sin ( ) const

Element-wise sine of a tensor, returning a new tensor.

◆ Sin_()

Tensor open3d::core::Tensor::Sin_ ( )

Element-wise sine of a tensor, in-place.

◆ Slice()

Tensor open3d::core::Tensor::Slice	(	int64_t	dim,
		int64_t	start,
		int64_t	stop,
		int64_t	step = `1`
	)		const

Slice Tensor.

Parameters

dim	The dimension to slice.
start	The start index (inclusive).
stop	The end index (exclusive).
step	Pick one eleemnt for every `step` elements.

◆ Solve()

Tensor open3d::core::Tensor::Solve ( const Tensor & rhs ) const

Solves the linear system AX = B with QR decomposition and returns X. A must be a square matrix.

◆ Sqrt()

Tensor open3d::core::Tensor::Sqrt ( ) const

Element-wise square root of a tensor, returns a new tensor.

◆ Sqrt_()

Tensor open3d::core::Tensor::Sqrt_ ( )

Element-wise square root of a tensor, in-place.

◆ Sub() [1/2]

Tensor open3d::core::Tensor::Sub ( const Tensor & value ) const

Substracts a tensor and returns the resulting tensor.

◆ Sub() [2/2]

template<typename T >

Tensor open3d::core::Tensor::Sub ( T scalar_value ) const

inline

◆ Sub_() [1/2]

Tensor open3d::core::Tensor::Sub_ ( const Tensor & value )

Inplace version of Tensor::Sub. Substracts a tensor to the current tensor and returns the current tensor.

◆ Sub_() [2/2]

template<typename T >

Tensor open3d::core::Tensor::Sub_ ( T scalar_value )

inline

◆ Sum()

Tensor open3d::core::Tensor::Sum	(	const SizeVector &	dims,
		bool	keepdim = `false`
	)		const

Returns the sum of the tensor along the given dims.

Parameters

dims	A list of dimensions to be reduced.
keepdim	If true, the reduced dims will be retained as size 1.

◆ SVD()

std::tuple< Tensor, Tensor, Tensor > open3d::core::Tensor::SVD ( ) const

Computes the matrix SVD decomposition A = U S VT and returns the result. Note VT (V transpose) is returned instead of V.

◆ T()

Tensor open3d::core::Tensor::T ( ) const

Expects input to be <= 2-D Tensor by swapping dimension 0 and 1.

0-D and 1-D Tensor remains the same.

◆ To()

Tensor open3d::core::Tensor::To	(	Dtype	dtype,
		bool	copy = `false`
	)		const

Returns a tensor with the specified dtype.

Parameters

dtype	The targeted dtype to convert to.
copy	If true, a new tensor is always created; if false, the copy is avoided when the original tensor already have the targeted dtype.

◆ ToDLPack()

DLManagedTensor * open3d::core::Tensor::ToDLPack ( ) const

Convert the Tensor to DLManagedTensor.

◆ ToFlatVector() [1/2]

template<typename T >

std::vector<T> open3d::core::Tensor::ToFlatVector ( ) const

inline

Retrive all values as an std::vector, for debugging and testing.

◆ ToFlatVector() [2/2]

template<>

std::vector<bool> open3d::core::Tensor::ToFlatVector ( ) const

inline

◆ ToString()

std::string open3d::core::Tensor::ToString	(	bool	with_suffix = `true`,
		const std::string &	indent = `""`
	)		const

◆ Transpose()

Tensor open3d::core::Tensor::Transpose	(	int64_t	dim0,
		int64_t	dim1
	)		const

Transpose a Tensor by swapping dimension dim0 and dim1.

Parameters

dim0	The first dimension to be transposed.
dim1	The second dimension to be transposed.

◆ View()

Tensor open3d::core::Tensor::View ( const SizeVector & dst_shape ) const

Returns a new tensor view with the same data but of a different shape.

The returned tensor shares the same data and must have the same number of elements, but may have a different size. For a tensor to be viewed, the new view size must be compatible with its original size and stride, i.e., each new view dimension must either be a subspace of an original dimension, or only span across original dimensions d, d+1, ..., d+kd,d+1, ..., d+k that satisfy the following contiguity-like condition that for all i = 0, ..., k-1, strides[i] = stride[i + 1] * shape[i + 1].

Otherwise, contiguous() needs to be called before the tensor can be viewed. See also: reshape(), which returns a view if the shapes are compatible, and copies (equivalent to calling contiguous()) otherwise.

Ref: https://pytorch.org/docs/stable/tensors.html aten/src/ATen/native/TensorShape.cpp aten/src/ATen/TensorUtils.cpp

◆ Zeros()

Tensor open3d::core::Tensor::Zeros	(	const SizeVector &	shape,
		Dtype	dtype,
		const Device &	device = `Device("CPU:0")`
	)

static

Create a tensor fill with zeros.

Field Documentation

◆ blob_

std::shared_ptr<Blob> open3d::core::Tensor::blob_ = nullptr

protected

Underlying memory buffer for Tensor.

◆ data_ptr_

void* open3d::core::Tensor::data_ptr_ = nullptr

protected

Data pointer pointing to the beginning element of the Tensor.

Note that this is not necessarily the same as blob_.GetDataPtr(). When this happens, it means that the beginning element of the Tensor is not located a the beginning of the underlying blob. This could happen, for instance, at slicing:

// a.GetDataPtr() == a.GetBlob().GetDataPtr()
Tensor a({2, 3}, dtype, "CPU:0");
// b.GetDataPtr() != b.GetBlob().GetDataPtr()
b = a[1];

◆ dtype_

Dtype open3d::core::Tensor::dtype_ = Dtype::Undefined

protected

Data type.

◆ shape_

SizeVector open3d::core::Tensor::shape_ = {0}

protected

SizeVector of the Tensor. SizeVector[i] is the legnth of dimension i.

◆ strides_

SizeVector open3d::core::Tensor::strides_ = {1}

protected

Stride of a Tensor. The stride of a n-dimensional tensor is also n-dimensional. Stride(i) is the number of elements (not bytes) to jump in a continuous memory space before eaching the next element in dimension i. For example, a 2x3x4 float32 dense tensor has shape(2, 3, 4) and stride(12, 4, 1). A slicing operation performed on the tensor can change the shape and stride.

The documentation for this class was generated from the following files:

/home/runner/work/Open3D/Open3D/cpp/open3d/core/Tensor.h (313315d (Wed Dec 23 23:39:47 2020 -0800))
/home/runner/work/Open3D/Open3D/cpp/open3d/core/Tensor.cpp (313315d (Wed Dec 23 23:39:47 2020 -0800))

Public Member Functions

Static Public Member Functions

Protected Member Functions

Protected Attributes

Detailed Description

Constructor & Destructor Documentation

◆ Tensor() [1/8]

◆ Tensor() [2/8]

◆ Tensor() [3/8]

◆ Tensor() [4/8]

◆ Tensor() [5/8]

◆ Tensor() [6/8]

◆ Tensor() [7/8]

◆ Tensor() [8/8]

Member Function Documentation

◆ Abs()

◆ Abs_()

◆ Add() [1/2]

◆ Add() [2/2]

◆ Add_() [1/2]

◆ Add_() [2/2]

◆ All()

◆ AllClose()

◆ Any()

◆ ArgMax()

◆ ArgMin()

◆ AsRvalue()

◆ AssertDevice()

◆ AssertDtype()

◆ AssertShape()

◆ AssertShapeCompatible()

◆ AssertTemplateDtype()

◆ Assign()

◆ AssignObject()

◆ AsStrided()

◆ Broadcast()

◆ ComputeNewStrides()

◆ Contiguous()

◆ Copy() [1/2]

◆ Copy() [2/2]

◆ CopyFrom()

◆ Cos()

◆ Cos_()

◆ DefaultStrides()

◆ Det()

◆ Diag()

◆ Div() [1/2]

◆ Div() [2/2]

◆ Div_() [1/2]

◆ Div_() [2/2]

◆ Empty()

◆ EmptyLike()

◆ Eq() [1/2]

◆ Eq() [2/2]

◆ Eq_() [1/2]

◆ Eq_() [2/2]

◆ Exp()

◆ Exp_()

◆ Expand()

◆ Eye()

◆ Fill()

◆ FillObject()

◆ FromDLPack()

◆ Full()

◆ Ge() [1/2]

◆ Ge() [2/2]

◆ Ge_() [1/2]

◆ Ge_() [2/2]

◆ GetBlob()

◆ GetDataPtr() [1/2]

◆ GetDataPtr() [2/2]

◆ GetDevice()

◆ GetDtype()

◆ GetItem() [1/2]

◆ GetItem() [2/2]

◆ GetLength()

◆ GetShape() [1/2]

◆ GetShape() [2/2]

◆ GetShapeRef()

◆ GetStride()