linalg

Basic linear algebra algorithms. More...

Concepts
concept	etl::linalg::in_vector
concept	etl::linalg::out_vector
concept	etl::linalg::inout_vector
concept	etl::linalg::in_matrix
concept	etl::linalg::out_matrix
concept	etl::linalg::inout_matrix
concept	etl::linalg::in_object
concept	etl::linalg::out_object
concept	etl::linalg::inout_object

Classes
struct	accessor_conjugate< Accessor >
struct	accessor_scaled< ScalingFactor, Accessor >
struct	column_major_t
struct	explicit_diagonal_t
struct	implicit_unit_diagonal_t
struct	layout_transpose< Layout >
struct	lower_triangle_t
struct	row_major_t
struct	upper_triangle_t

Functions
template<in_object InObj1, in_object InObj2, out_object OutObj> requires (InObj1::rank() == OutObj::rank() and InObj2::rank() == OutObj::rank())
constexpr auto	add (InObj1 x, InObj2 y, OutObj z) -> void
template<typename ElementType , typename Extents , typename Layout , typename Accessor >
constexpr auto	conjugated (mdspan< ElementType, Extents, Layout, Accessor > a)
template<typename ElementType , typename Extents , typename Layout , typename NestedAccessor >
constexpr auto	conjugated (mdspan< ElementType, Extents, Layout, accessor_conjugate< NestedAccessor > > a)
template<in_object InObj, out_object OutObj> requires (InObj::rank() == OutObj::rank())
constexpr auto	copy (InObj x, OutObj y) -> void
template<in_vector InVec1, in_vector InVec2>
constexpr auto	dot (InVec1 v1, InVec2 v2)
template<in_vector InVec1, in_vector InVec2, typename Scalar >
constexpr auto	dot (InVec1 v1, InVec2 v2, Scalar init) -> Scalar
template<in_vector InVec>
constexpr auto	idx_abs_max (InVec v) -> typename InVec::size_type
template<in_matrix InMat>
constexpr auto	matrix_frob_norm (InMat a)
template<in_matrix InMat, typename Scalar >
constexpr auto	matrix_frob_norm (InMat a, Scalar init) -> Scalar
template<in_matrix InMat1, in_matrix InMat2, out_matrix OutMat>
constexpr auto	matrix_product (InMat1 a, InMat2 b, OutMat c) -> void
	Computes C = AB.
template<in_matrix InMat, in_vector InVec, out_vector OutVec>
constexpr auto	matrix_vector_product (InMat a, InVec x, OutVec y) noexcept -> void
template<typename Scalar , inout_object InOutObj>
constexpr auto	scale (Scalar alpha, InOutObj x) -> void
template<typename ScalingFactor , typename ElementType , typename Extents , typename Layout , typename Accessor >
constexpr auto	scaled (ScalingFactor alpha, mdspan< ElementType, Extents, Layout, Accessor > x)
template<inout_object InOutObj1, inout_object InOutObj2> requires (InOutObj1::rank() == InOutObj1::rank())
constexpr auto	swap_elements (InOutObj1 x, InOutObj2 y) -> void
template<in_vector InVec>
constexpr auto	vector_abs_sum (InVec v) noexcept -> typename InVec::value_type
template<in_vector InVec, typename Scalar >
constexpr auto	vector_abs_sum (InVec v, Scalar init) noexcept -> Scalar
template<in_vector InVec>
constexpr auto	vector_two_norm (InVec v) noexcept -> typename InVec::value_type
template<in_vector InVec, typename Scalar >
constexpr auto	vector_two_norm (InVec v, Scalar init) noexcept -> Scalar

Detailed Description

Basic linear algebra algorithms.

#include <etl/linalg.hpp>

Function Documentation

add()

template<in_object InObj1, in_object InObj2, out_object OutObj>
requires (InObj1::rank() == OutObj::rank() and InObj2::rank() == OutObj::rank())

constexpr auto add ( InObj1  x, InObj2  y, OutObj  z  ) -> void

constexpr

conjugated() [1/2]

template<typename ElementType , typename Extents , typename Layout , typename Accessor >

constexpr auto conjugated ( mdspan< ElementType, Extents, Layout, Accessor >  a )

constexpr

conjugated() [2/2]

template<typename ElementType , typename Extents , typename Layout , typename NestedAccessor >

constexpr auto conjugated ( mdspan< ElementType, Extents, Layout, accessor_conjugate< NestedAccessor > >  a )

constexpr

copy()

template<in_object InObj, out_object OutObj>
requires (InObj::rank() == OutObj::rank())

constexpr auto copy ( InObj  x, OutObj  y  ) -> void

constexpr

dot() [1/2]

template<in_vector InVec1, in_vector InVec2>

constexpr auto dot ( InVec1  v1, InVec2  v2  )

constexpr

dot() [2/2]

template<in_vector InVec1, in_vector InVec2, typename Scalar >

constexpr auto dot ( InVec1  v1, InVec2  v2, Scalar  init  ) -> Scalar

constexpr

idx_abs_max()

template<in_vector InVec>

constexpr auto idx_abs_max ( InVec  v ) -> typename InVec::size_type

constexpr

matrix_frob_norm() [1/2]

template<in_matrix InMat>

constexpr auto matrix_frob_norm ( InMat  a )

constexpr

matrix_frob_norm() [2/2]

template<in_matrix InMat, typename Scalar >

constexpr auto matrix_frob_norm ( InMat  a, Scalar  init  ) -> Scalar

constexpr

matrix_product()

template<in_matrix InMat1, in_matrix InMat2, out_matrix OutMat>

constexpr auto matrix_product ( InMat1  a, InMat2  b, OutMat  c  ) -> void

constexpr

Computes C = AB.

matrix_vector_product()

template<in_matrix InMat, in_vector InVec, out_vector OutVec>

constexpr auto matrix_vector_product ( InMat  a, InVec  x, OutVec  y  ) -> void

constexprnoexcept

scale()

template<typename Scalar , inout_object InOutObj>

constexpr auto scale ( Scalar  alpha, InOutObj  x  ) -> void

constexpr

scaled()

template<typename ScalingFactor , typename ElementType , typename Extents , typename Layout , typename Accessor >

constexpr auto scaled ( ScalingFactor  alpha, mdspan< ElementType, Extents, Layout, Accessor >  x  )

constexpr

swap_elements()

template<inout_object InOutObj1, inout_object InOutObj2>
requires (InOutObj1::rank() == InOutObj1::rank())

constexpr auto swap_elements ( InOutObj1  x, InOutObj2  y  ) -> void

constexpr

vector_abs_sum() [1/2]

template<in_vector InVec>

constexpr auto vector_abs_sum ( InVec  v ) -> typename InVec::value_type

constexprnoexcept

vector_abs_sum() [2/2]

template<in_vector InVec, typename Scalar >

constexpr auto vector_abs_sum ( InVec  v, Scalar  init  ) -> Scalar

constexprnoexcept

vector_two_norm() [1/2]

template<in_vector InVec>

constexpr auto vector_two_norm ( InVec  v ) -> typename InVec::value_type

constexprnoexcept

vector_two_norm() [2/2]

template<in_vector InVec, typename Scalar >

constexpr auto vector_two_norm ( InVec  v, Scalar  init  ) -> Scalar

constexprnoexcept