Routines for 2x2 matrices. More...

#include <FastMatrixMathHelper.h>

Inheritance diagram for lar::util::details::FastMatrixOperations< T, 2 >:

Public Types
using	Base_t = FastMatrixOperationsBase< T, 2 >

using	Data_t = typename Base_t::Data_t

using	Matrix_t = typename Base_t::Matrix_t

Public Types inherited from lar::util::details::FastMatrixOperationsBase< T, 2 >
using	Data_t = T

using	Matrix_t = std::array< Data_t, Dim *Dim >

using	Vector_t = std::array< Data_t, Dim >

Static Public Member Functions
static Data_t	Determinant (Matrix_t const &mat)
	Computes the determinant of a matrix. More...

static Matrix_t	InvertMatrix (Matrix_t const &mat, Data_t det)
	Computes the determinant of a matrix, using the provided determinant. More...

static Matrix_t	InvertSymmetricMatrix (Matrix_t const &mat, Data_t det)

static Matrix_t	InvertMatrix (Matrix_t const &mat)
	Computes the determinant of a matrix. More...

static Matrix_t	InvertSymmetricMatrix (Matrix_t const &mat)
	Computes the determinant of a matrix. More...

Static Public Member Functions inherited from lar::util::details::FastMatrixOperationsBase< T, 2 >
static Vector_t	MatrixVectorProduct (Matrix_t const &mat, Vector_t const &vec)
	Returns the product of a square matrix times a column vector. More...

static constexpr Data_t	sqr (Data_t v)

Static Public Attributes
static constexpr unsigned int	Dim = Base_t::Dim

Static Public Attributes inherited from lar::util::details::FastMatrixOperationsBase< T, 2 >
static constexpr unsigned int	Dim
	matrix dimensions More...

Detailed Description

template<typename T>
struct lar::util::details::FastMatrixOperations< T, 2 >

Routines for 2x2 matrices.

Definition at line 254 of file FastMatrixMathHelper.h.

Member Typedef Documentation

template<typename T >

using lar::util::details::FastMatrixOperations< T, 2 >::Base_t = FastMatrixOperationsBase<T, 2>

Definition at line 257 of file FastMatrixMathHelper.h.

template<typename T >

using lar::util::details::FastMatrixOperations< T, 2 >::Data_t = typename Base_t::Data_t

Definition at line 259 of file FastMatrixMathHelper.h.

template<typename T >

using lar::util::details::FastMatrixOperations< T, 2 >::Matrix_t = typename Base_t::Matrix_t

Definition at line 260 of file FastMatrixMathHelper.h.

Member Function Documentation

template<typename T >

static Data_t lar::util::details::FastMatrixOperations< T, 2 >::Determinant ( Matrix_t const & mat )

inlinestatic

Computes the determinant of a matrix.

Definition at line 263 of file FastMatrixMathHelper.h.

264 { return DeterminantHelper<T, Dim, 0, 1, 0, 1>::compute(mat.data()); }

lar::util::details::DeterminantHelper::compute

static T compute(T const *data)

template<typename T >

auto lar::util::details::FastMatrixOperations< T, 2 >::InvertMatrix	(	Matrix_t const &	mat,
		Data_t	det
	)

static

Computes the determinant of a matrix, using the provided determinant.

Definition at line 379 of file FastMatrixMathHelper.h.

 {
   Matrix_t Inverse;
   Inverse[0 * Dim + 0] =   mat[1 * Dim + 1] / det;
   Inverse[0 * Dim + 1] = - mat[0 * Dim + 1] / det;
   Inverse[1 * Dim + 0] = - mat[1 * Dim + 0] / det;
   Inverse[1 * Dim + 1] =   mat[0 * Dim + 0] / det;
   return Inverse;
 } // FastMatrixOperations<T, 2>::InvertMatrix()

template<typename T >

static Matrix_t lar::util::details::FastMatrixOperations< T, 2 >::InvertMatrix ( Matrix_t const & mat )

inlinestatic

Computes the determinant of a matrix.

Definition at line 274 of file FastMatrixMathHelper.h.

275 { return InvertMatrix(mat, Determinant(mat)); }

lar::util::details::FastMatrixOperations< T, 2 >::InvertMatrix

static Matrix_t InvertMatrix(Matrix_t const &mat, Data_t det)

Computes the determinant of a matrix, using the provided determinant.

Definition: FastMatrixMathHelper.h:379

lar::util::details::FastMatrixOperations< T, 2 >::Determinant

static Data_t Determinant(Matrix_t const &mat)

Computes the determinant of a matrix.

Definition: FastMatrixMathHelper.h:263

template<typename T >

auto lar::util::details::FastMatrixOperations< T, 2 >::InvertSymmetricMatrix	(	Matrix_t const &	mat,
		Data_t	det
	)

static

Computes the determinant of a symmatric matrix, using the provided determinant

Definition at line 392 of file FastMatrixMathHelper.h.

 {
   Matrix_t Inverse;
   Inverse[0 * Dim + 0] =   mat[1 * Dim + 1] / det;
   Inverse[0 * Dim + 1] =
   Inverse[1 * Dim + 0] = - mat[1 * Dim + 0] / det;
   Inverse[1 * Dim + 1] =   mat[0 * Dim + 0] / det;
   return Inverse;
 } // FastMatrixOperations<T, 2>::InvertMatrix()