#include <sleipnir/autodiff/variable_matrix.hpp>

Classes
struct	empty_t

Public Member Functions
	VariableMatrix ()=default

	VariableMatrix (int rows)

	VariableMatrix (int rows, int cols)

	VariableMatrix (empty_t, int rows, int cols)

	VariableMatrix (std::initializer_list< std::initializer_list< Variable > > list)

	VariableMatrix (const std::vector< std::vector< double > > &list)

	VariableMatrix (const std::vector< std::vector< Variable > > &list)

template<typename Derived >
	VariableMatrix (const Eigen::MatrixBase< Derived > &values)

template<typename Derived >
	VariableMatrix (const Eigen::DiagonalBase< Derived > &values)

template<typename Derived >
VariableMatrix &	operator= (const Eigen::MatrixBase< Derived > &values)

VariableMatrix &	operator= (ScalarLike auto value)

template<typename Derived > requires std::same_as<typename Derived::Scalar, double>
void	set_value (const Eigen::MatrixBase< Derived > &values)

	VariableMatrix (const Variable &variable)

	VariableMatrix (Variable &&variable)

	VariableMatrix (const VariableBlock< VariableMatrix > &values)

	VariableMatrix (const VariableBlock< const VariableMatrix > &values)

	VariableMatrix (std::span< const Variable > values)

	VariableMatrix (std::span< const Variable > values, int rows, int cols)

Variable &	operator() (int row, int col)

const Variable &	operator() (int row, int col) const

Variable &	operator[] (int row)

const Variable &	operator[] (int row) const

VariableBlock< VariableMatrix >	block (int row_offset, int col_offset, int block_rows, int block_cols)

const VariableBlock< const VariableMatrix >	block (int row_offset, int col_offset, int block_rows, int block_cols) const

VariableBlock< VariableMatrix >	operator() (Slice row_slice, Slice col_slice)

const VariableBlock< const VariableMatrix >	operator() (Slice row_slice, Slice col_slice) const

VariableBlock< VariableMatrix >	operator() (Slice row_slice, int row_slice_length, Slice col_slice, int col_slice_length)

const VariableBlock< const VariableMatrix >	operator() (Slice row_slice, int row_slice_length, Slice col_slice, int col_slice_length) const

VariableBlock< VariableMatrix >	segment (int offset, int length)

const VariableBlock< const VariableMatrix >	segment (int offset, int length) const

VariableBlock< VariableMatrix >	row (int row)

const VariableBlock< const VariableMatrix >	row (int row) const

VariableBlock< VariableMatrix >	col (int col)

const VariableBlock< const VariableMatrix >	col (int col) const

VariableMatrix &	operator*= (const MatrixLike auto &rhs)

VariableMatrix &	operator*= (const ScalarLike auto &rhs)

VariableMatrix &	operator/= (const ScalarLike auto &rhs)

VariableMatrix &	operator+= (const MatrixLike auto &rhs)

VariableMatrix &	operator+= (const ScalarLike auto &rhs)

VariableMatrix &	operator-= (const MatrixLike auto &rhs)

VariableMatrix &	operator-= (const ScalarLike auto &rhs)

	operator Variable () const

VariableMatrix	T () const

int	rows () const

int	cols () const

double	value (int row, int col)

double	value (int index)

Eigen::MatrixXd	value ()

VariableMatrix	cwise_transform (function_ref< Variable(const Variable &x)> unary_op) const

iterator	begin ()

iterator	end ()

const_iterator	begin () const

const_iterator	end () const

const_iterator	cbegin () const

const_iterator	cend () const

size_t	size () const

Static Public Member Functions
static VariableMatrix	zero (int rows, int cols)

static VariableMatrix	ones (int rows, int cols)

Static Public Attributes
static constexpr empty_t	empty {}

Friends
template<MatrixLike LHS, MatrixLike RHS> requires SleipnirMatrixLike<LHS> \|\| SleipnirMatrixLike<RHS>
SLEIPNIR_DLLEXPORT VariableMatrix	operator* (const LHS &lhs, const RHS &rhs)

SLEIPNIR_DLLEXPORT VariableMatrix	operator* (const SleipnirMatrixLike auto &lhs, const ScalarLike auto &rhs)

SLEIPNIR_DLLEXPORT VariableMatrix	operator* (const MatrixLike auto &lhs, const Variable &rhs)

SLEIPNIR_DLLEXPORT VariableMatrix	operator* (const ScalarLike auto &lhs, const SleipnirMatrixLike auto &rhs)

SLEIPNIR_DLLEXPORT VariableMatrix	operator* (const Variable &lhs, const MatrixLike auto &rhs)

SLEIPNIR_DLLEXPORT VariableMatrix	operator/ (const MatrixLike auto &lhs, const ScalarLike auto &rhs)

template<MatrixLike LHS, MatrixLike RHS> requires SleipnirMatrixLike<LHS> \|\| SleipnirMatrixLike<RHS>
SLEIPNIR_DLLEXPORT VariableMatrix	operator+ (const LHS &lhs, const RHS &rhs)

template<MatrixLike LHS, MatrixLike RHS> requires SleipnirMatrixLike<LHS> \|\| SleipnirMatrixLike<RHS>
SLEIPNIR_DLLEXPORT VariableMatrix	operator- (const LHS &lhs, const RHS &rhs)

SLEIPNIR_DLLEXPORT VariableMatrix	operator- (const SleipnirMatrixLike auto &lhs)

Detailed Description

A matrix of autodiff variables.

Constructor & Destructor Documentation

◆ VariableMatrix() [1/15]

slp::VariableMatrix::VariableMatrix ( )

default

Constructs an empty VariableMatrix.

◆ VariableMatrix() [2/15]

slp::VariableMatrix::VariableMatrix ( int rows )

inlineexplicit

Constructs a VariableMatrix column vector with the given rows.

Parameters

rows	The number of matrix rows.

◆ VariableMatrix() [3/15]

slp::VariableMatrix::VariableMatrix	(	int	rows,
		int	cols
	)

inline

Constructs a zero-initialized VariableMatrix with the given dimensions.

Parameters

rows	The number of matrix rows.
cols	The number of matrix columns.

◆ VariableMatrix() [4/15]

slp::VariableMatrix::VariableMatrix	(	empty_t	,
		int	rows,
		int	cols
	)

inline

Constructs an empty VariableMatrix with the given dimensions.

Parameters

rows	The number of matrix rows.
cols	The number of matrix columns.

◆ VariableMatrix() [5/15]

slp::VariableMatrix::VariableMatrix ( std::initializer_list< std::initializer_list< Variable > > list )

inline

Constructs a scalar VariableMatrix from a nested list of Variables.

Parameters

list	The nested list of Variables.

◆ VariableMatrix() [6/15]

slp::VariableMatrix::VariableMatrix ( const std::vector< std::vector< double > > & list )

inline

Constructs a scalar VariableMatrix from a nested list of doubles.

This overload is for Python bindings only.

Parameters

list	The nested list of Variables.

◆ VariableMatrix() [7/15]

slp::VariableMatrix::VariableMatrix ( const std::vector< std::vector< Variable > > & list )

inline

Constructs a scalar VariableMatrix from a nested list of Variables.

This overload is for Python bindings only.

Parameters

list	The nested list of Variables.

◆ VariableMatrix() [8/15]

template<typename Derived >

slp::VariableMatrix::VariableMatrix ( const Eigen::MatrixBase< Derived > & values )

inline

Constructs a VariableMatrix from an Eigen matrix.

Parameters

values Eigen matrix of values.

◆ VariableMatrix() [9/15]

template<typename Derived >

slp::VariableMatrix::VariableMatrix ( const Eigen::DiagonalBase< Derived > & values )

inline

Constructs a VariableMatrix from an Eigen diagonal matrix.

Parameters

values Diagonal matrix of values.

◆ VariableMatrix() [10/15]

slp::VariableMatrix::VariableMatrix ( const Variable & variable )

inline

Constructs a scalar VariableMatrix from a Variable.

Parameters

variable Variable.

◆ VariableMatrix() [11/15]

slp::VariableMatrix::VariableMatrix ( Variable && variable )

inline

Constructs a scalar VariableMatrix from a Variable.

Parameters

variable Variable.

◆ VariableMatrix() [12/15]

slp::VariableMatrix::VariableMatrix ( const VariableBlock< VariableMatrix > & values )

inline

Constructs a VariableMatrix from a VariableBlock.

Parameters

values VariableBlock of values.

◆ VariableMatrix() [13/15]

slp::VariableMatrix::VariableMatrix ( const VariableBlock< const VariableMatrix > & values )

inline

Constructs a VariableMatrix from a VariableBlock.

Parameters

values VariableBlock of values.

◆ VariableMatrix() [14/15]

slp::VariableMatrix::VariableMatrix ( std::span< const Variable > values )

inlineexplicit

Constructs a column vector wrapper around a Variable array.

Parameters

values Variable array to wrap.

◆ VariableMatrix() [15/15]

slp::VariableMatrix::VariableMatrix	(	std::span< const Variable >	values,
		int	rows,
		int	cols
	)

inline

Constructs a matrix wrapper around a Variable array.

Parameters

values	Variable array to wrap.
rows	The number of matrix rows.
cols	The number of matrix columns.

Member Function Documentation

◆ begin() [1/2]

iterator slp::VariableMatrix::begin ( )

inline

Returns begin iterator.

Returns: Begin iterator.

◆ begin() [2/2]

const_iterator slp::VariableMatrix::begin ( ) const

inline

Returns begin iterator.

Returns: Begin iterator.

◆ block() [1/2]

VariableBlock< VariableMatrix > slp::VariableMatrix::block	(	int	row_offset,
		int	col_offset,
		int	block_rows,
		int	block_cols
	)

inline

Returns a block of the variable matrix.

Parameters

row_offset	The row offset of the block selection.
col_offset	The column offset of the block selection.
block_rows	The number of rows in the block selection.
block_cols	The number of columns in the block selection.

Returns: A block of the variable matrix.

◆ block() [2/2]

const VariableBlock< const VariableMatrix > slp::VariableMatrix::block	(	int	row_offset,
		int	col_offset,
		int	block_rows,
		int	block_cols
	)		const

inline

Returns a block of the variable matrix.

Parameters

row_offset	The row offset of the block selection.
col_offset	The column offset of the block selection.
block_rows	The number of rows in the block selection.
block_cols	The number of columns in the block selection.

Returns: A block of the variable matrix.

◆ cbegin()

const_iterator slp::VariableMatrix::cbegin ( ) const

inline

Returns begin iterator.

Returns: Begin iterator.

◆ cend()

const_iterator slp::VariableMatrix::cend ( ) const

inline

Returns end iterator.

Returns: End iterator.

◆ col() [1/2]

VariableBlock< VariableMatrix > slp::VariableMatrix::col ( int col )

inline

Returns a column slice of the variable matrix.

Parameters

col	The column to slice.

Returns: A column slice of the variable matrix.

◆ col() [2/2]

const VariableBlock< const VariableMatrix > slp::VariableMatrix::col ( int col ) const

inline

Returns a column slice of the variable matrix.

Parameters

col	The column to slice.

Returns: A column slice of the variable matrix.

◆ cols()

int slp::VariableMatrix::cols ( ) const

inline

Returns the number of columns in the matrix.

Returns: The number of columns in the matrix.

◆ cwise_transform()

VariableMatrix slp::VariableMatrix::cwise_transform ( function_ref< Variable(const Variable &x)> unary_op ) const

inline

Transforms the matrix coefficient-wise with an unary operator.

Parameters

unary_op The unary operator to use for the transform operation.

Returns: Result of the unary operator.

◆ end() [1/2]

iterator slp::VariableMatrix::end ( )

inline

Returns end iterator.

Returns: End iterator.

◆ end() [2/2]

const_iterator slp::VariableMatrix::end ( ) const

inline

Returns end iterator.

Returns: End iterator.

◆ ones()

static VariableMatrix slp::VariableMatrix::ones	(	int	rows,
		int	cols
	)

inlinestatic

Returns a variable matrix filled with ones.

Parameters

rows	The number of matrix rows.
cols	The number of matrix columns.

Returns: A variable matrix filled with ones.

◆ operator Variable()

slp::VariableMatrix::operator Variable ( ) const

inline

Implicit conversion operator from 1x1 VariableMatrix to Variable.

◆ operator()() [1/6]

Variable & slp::VariableMatrix::operator()	(	int	row,
		int	col
	)

inline

Returns a block pointing to the given row and column.

Parameters

row	The block row.
col	The block column.

Returns: A block pointing to the given row and column.

◆ operator()() [2/6]

const Variable & slp::VariableMatrix::operator()	(	int	row,
		int	col
	)		const

inline

Returns a block pointing to the given row and column.

Parameters

row	The block row.
col	The block column.

Returns: A block pointing to the given row and column.

◆ operator()() [3/6]

VariableBlock< VariableMatrix > slp::VariableMatrix::operator()	(	Slice	row_slice,
		int	row_slice_length,
		Slice	col_slice,
		int	col_slice_length
	)

inline

Returns a slice of the variable matrix.

The given slices aren't adjusted. This overload is for Python bindings only.

Parameters

row_slice	The row slice.
row_slice_length	The row slice length.
col_slice	The column slice.
col_slice_length	The column slice length.

Returns: A slice of the variable matrix.

◆ operator()() [4/6]

const VariableBlock< const VariableMatrix > slp::VariableMatrix::operator()	(	Slice	row_slice,
		int	row_slice_length,
		Slice	col_slice,
		int	col_slice_length
	)		const

inline

Returns a slice of the variable matrix.

The given slices aren't adjusted. This overload is for Python bindings only.

Parameters

row_slice	The row slice.
row_slice_length	The row slice length.
col_slice	The column slice.
col_slice_length	The column slice length.

Returns: A slice of the variable matrix.

◆ operator()() [5/6]

VariableBlock< VariableMatrix > slp::VariableMatrix::operator()	(	Slice	row_slice,
		Slice	col_slice
	)

inline

Returns a slice of the variable matrix.

Parameters

row_slice	The row slice.
col_slice	The column slice.

Returns: A slice of the variable matrix.

◆ operator()() [6/6]

const VariableBlock< const VariableMatrix > slp::VariableMatrix::operator()	(	Slice	row_slice,
		Slice	col_slice
	)		const

inline

Returns a slice of the variable matrix.

Parameters

row_slice	The row slice.
col_slice	The column slice.

Returns: A slice of the variable matrix.

◆ operator*=() [1/2]

VariableMatrix & slp::VariableMatrix::operator*= ( const MatrixLike auto & rhs )

inline

Compound matrix multiplication-assignment operator.

Parameters

rhs	Variable to multiply.

Returns: Result of multiplication.

◆ operator*=() [2/2]

VariableMatrix & slp::VariableMatrix::operator*= ( const ScalarLike auto & rhs )

inline

Compound matrix-scalar multiplication-assignment operator.

Parameters

rhs	Variable to multiply.

Returns: Result of multiplication.

◆ operator+=() [1/2]

VariableMatrix & slp::VariableMatrix::operator+= ( const MatrixLike auto & rhs )

inline

Compound addition-assignment operator.

Parameters

rhs	Variable to add.

Returns: Result of addition.

◆ operator+=() [2/2]

VariableMatrix & slp::VariableMatrix::operator+= ( const ScalarLike auto & rhs )

inline

Compound addition-assignment operator.

Parameters

rhs	Variable to add.

Returns: Result of addition.

◆ operator-=() [1/2]

VariableMatrix & slp::VariableMatrix::operator-= ( const MatrixLike auto & rhs )

inline

Compound subtraction-assignment operator.

Parameters

rhs	Variable to subtract.

Returns: Result of subtraction.

◆ operator-=() [2/2]

VariableMatrix & slp::VariableMatrix::operator-= ( const ScalarLike auto & rhs )

inline

Compound subtraction-assignment operator.

Parameters

rhs	Variable to subtract.

Returns: Result of subtraction.

◆ operator/=()

VariableMatrix & slp::VariableMatrix::operator/= ( const ScalarLike auto & rhs )

inline

Compound matrix division-assignment operator.

Parameters

rhs	Variable to divide.

Returns: Result of division.

◆ operator=() [1/2]

template<typename Derived >

VariableMatrix & slp::VariableMatrix::operator= ( const Eigen::MatrixBase< Derived > & values )

inline

Assigns an Eigen matrix to a VariableMatrix.

Parameters

values Eigen matrix of values.

Returns: This VariableMatrix.

◆ operator=() [2/2]

VariableMatrix & slp::VariableMatrix::operator= ( ScalarLike auto value )

inline

Assigns a double to the matrix.

This only works for matrices with one row and one column.

Parameters

value Value to assign.

Returns: This VariableMatrix.

◆ operator[]() [1/2]

Variable & slp::VariableMatrix::operator[] ( int row )

inline

Returns a block pointing to the given row.

Parameters

row	The block row.

Returns: A block pointing to the given row.

◆ operator[]() [2/2]

const Variable & slp::VariableMatrix::operator[] ( int row ) const

inline

Returns a block pointing to the given row.

Parameters

row	The block row.

Returns: A block pointing to the given row.

◆ row() [1/2]

VariableBlock< VariableMatrix > slp::VariableMatrix::row ( int row )

inline

Returns a row slice of the variable matrix.

Parameters

row	The row to slice.

Returns: A row slice of the variable matrix.

◆ row() [2/2]

const VariableBlock< const VariableMatrix > slp::VariableMatrix::row ( int row ) const

inline

Returns a row slice of the variable matrix.

Parameters

row	The row to slice.

Returns: A row slice of the variable matrix.

◆ rows()

int slp::VariableMatrix::rows ( ) const

inline

Returns the number of rows in the matrix.

Returns: The number of rows in the matrix.

◆ segment() [1/2]

VariableBlock< VariableMatrix > slp::VariableMatrix::segment	(	int	offset,
		int	length
	)

inline

Returns a segment of the variable vector.

Parameters

offset	The offset of the segment.
length	The length of the segment.

Returns: A segment of the variable vector.

◆ segment() [2/2]

const VariableBlock< const VariableMatrix > slp::VariableMatrix::segment	(	int	offset,
		int	length
	)		const

inline

Returns a segment of the variable vector.

Parameters

offset	The offset of the segment.
length	The length of the segment.

Returns: A segment of the variable vector.

◆ set_value()

template<typename Derived >
requires std::same_as<typename Derived::Scalar, double>

void slp::VariableMatrix::set_value ( const Eigen::MatrixBase< Derived > & values )

inline

Sets the VariableMatrix's internal values.

Parameters

values Eigen matrix of values.

◆ size()

size_t slp::VariableMatrix::size ( ) const

inline

Returns number of elements in matrix.

Returns: Number of elements in matrix.

◆ T()

VariableMatrix slp::VariableMatrix::T ( ) const

inline

Returns the transpose of the variable matrix.

Returns: The transpose of the variable matrix.

◆ value() [1/3]

Eigen::MatrixXd slp::VariableMatrix::value ( )

inline

Returns the contents of the variable matrix.

Returns: The contents of the variable matrix.

◆ value() [2/3]

double slp::VariableMatrix::value ( int index )

inline

Returns a row of the variable column vector.

Parameters

index The index of the element to return.

Returns: A row of the variable column vector.

◆ value() [3/3]

double slp::VariableMatrix::value	(	int	row,
		int	col
	)

inline

Returns an element of the variable matrix.

Parameters

row	The row of the element to return.
col	The column of the element to return.

Returns: An element of the variable matrix.

◆ zero()

static VariableMatrix slp::VariableMatrix::zero	(	int	rows,
		int	cols
	)

inlinestatic

Returns a variable matrix filled with zeroes.

Parameters

rows	The number of matrix rows.
cols	The number of matrix columns.

Returns: A variable matrix filled with zeroes.

Friends And Related Symbol Documentation

◆ operator* [1/5]

template<MatrixLike LHS, MatrixLike RHS>
requires SleipnirMatrixLike<LHS> || SleipnirMatrixLike<RHS>

SLEIPNIR_DLLEXPORT VariableMatrix operator*	(	const LHS &	lhs,
		const RHS &	rhs
	)

friend

Matrix multiplication operator.

Parameters

lhs	Operator left-hand side.
rhs	Operator right-hand side.

◆ operator* [2/5]

SLEIPNIR_DLLEXPORT VariableMatrix operator*	(	const MatrixLike auto &	lhs,
		const Variable &	rhs
	)

friend

Matrix-scalar multiplication operator.

Parameters

lhs	Operator left-hand side.
rhs	Operator right-hand side.

◆ operator* [3/5]

SLEIPNIR_DLLEXPORT VariableMatrix operator*	(	const ScalarLike auto &	lhs,
		const SleipnirMatrixLike auto &	rhs
	)

friend

Scalar-matrix multiplication operator.

Parameters

lhs	Operator left-hand side.
rhs	Operator right-hand side.

◆ operator* [4/5]

SLEIPNIR_DLLEXPORT VariableMatrix operator*	(	const SleipnirMatrixLike auto &	lhs,
		const ScalarLike auto &	rhs
	)

friend

Matrix-scalar multiplication operator.

Parameters

lhs	Operator left-hand side.
rhs	Operator right-hand side.

◆ operator* [5/5]

SLEIPNIR_DLLEXPORT VariableMatrix operator*	(	const Variable &	lhs,
		const MatrixLike auto &	rhs
	)

friend

Scalar-matrix multiplication operator.

Parameters

lhs	Operator left-hand side.
rhs	Operator right-hand side.

◆ operator+

template<MatrixLike LHS, MatrixLike RHS>
requires SleipnirMatrixLike<LHS> || SleipnirMatrixLike<RHS>

SLEIPNIR_DLLEXPORT VariableMatrix operator+	(	const LHS &	lhs,
		const RHS &	rhs
	)

friend

Binary addition operator.

Parameters

lhs	Operator left-hand side.
rhs	Operator right-hand side.

Returns: Result of addition.

◆ operator- [1/2]

template<MatrixLike LHS, MatrixLike RHS>
requires SleipnirMatrixLike<LHS> || SleipnirMatrixLike<RHS>

SLEIPNIR_DLLEXPORT VariableMatrix operator-	(	const LHS &	lhs,
		const RHS &	rhs
	)

friend

Binary subtraction operator.

Parameters

lhs	Operator left-hand side.
rhs	Operator right-hand side.

Returns: Result of subtraction.

◆ operator- [2/2]

SLEIPNIR_DLLEXPORT VariableMatrix operator- ( const SleipnirMatrixLike auto & lhs )

friend

Unary minus operator.

Parameters

lhs	Operand for unary minus.

◆ operator/

SLEIPNIR_DLLEXPORT VariableMatrix operator/	(	const MatrixLike auto &	lhs,
		const ScalarLike auto &	rhs
	)

friend

Binary division operator.

Parameters

lhs	Operator left-hand side.
rhs	Operator right-hand side.

Returns: Result of division.

Member Data Documentation

◆ empty

constexpr empty_t slp::VariableMatrix::empty {}

staticconstexpr

Designates an uninitialized VariableMatrix.

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

include/sleipnir/autodiff/variable_matrix.hpp

Classes

Public Member Functions

Static Public Member Functions

Static Public Attributes

Friends

Detailed Description

Constructor & Destructor Documentation

◆ VariableMatrix() [1/15]

◆ VariableMatrix() [2/15]

◆ VariableMatrix() [3/15]

◆ VariableMatrix() [4/15]

◆ VariableMatrix() [5/15]

◆ VariableMatrix() [6/15]

◆ VariableMatrix() [7/15]

◆ VariableMatrix() [8/15]

◆ VariableMatrix() [9/15]

◆ VariableMatrix() [10/15]

◆ VariableMatrix() [11/15]

◆ VariableMatrix() [12/15]

◆ VariableMatrix() [13/15]

◆ VariableMatrix() [14/15]

◆ VariableMatrix() [15/15]

Member Function Documentation

◆ begin() [1/2]

◆ begin() [2/2]

◆ block() [1/2]

◆ block() [2/2]

◆ cbegin()

◆ cend()

◆ col() [1/2]

◆ col() [2/2]

◆ cols()

◆ cwise_transform()

◆ end() [1/2]

◆ end() [2/2]

◆ ones()

◆ operator Variable()

◆ operator()() [1/6]

◆ operator()() [2/6]

◆ operator()() [3/6]

◆ operator()() [4/6]

◆ operator()() [5/6]

◆ operator()() [6/6]

◆ operator*=() [1/2]

◆ operator*=() [2/2]

◆ operator+=() [1/2]

◆ operator+=() [2/2]

◆ operator-=() [1/2]

◆ operator-=() [2/2]

◆ operator/=()

◆ operator=() [1/2]

◆ operator=() [2/2]

◆ operator[]() [1/2]

◆ operator[]() [2/2]

◆ row() [1/2]

◆ row() [2/2]

◆ rows()

◆ segment() [1/2]

◆ segment() [2/2]

◆ set_value()

◆ size()

◆ T()

◆ value() [1/3]

◆ value() [2/3]

◆ value() [3/3]

◆ zero()

Friends And Related Symbol Documentation

◆ operator* [1/5]

◆ operator* [2/5]

◆ operator* [3/5]

◆ operator* [4/5]

◆ operator* [5/5]

◆ operator+

◆ operator- [1/2]

◆ operator- [2/2]

◆ operator/

Member Data Documentation

◆ empty