template<class T, unsigned int D>
class ROOT::Math::MatRepSym< T, D >

MatRepSym Matrix storage representation for a symmetric matrix of dimension NxN This class is a template on the contained type and on the symmetric matrix size, N.

It has as data member an array of type T of size N*(N+1)/2, containing the lower diagonal block of the matrix. The order follows the lower diagonal block, still in a row-major convention. For example for a symmetric 3x3 matrix the order of the 6 elements \( \left[a_0,a_1.....a_5 \right]\) is:

\[ M = \left( \begin{array}{ccc} a_0 & a_1 & a_3 \\ a_1 & a_2 & a_4 \\ a_3 & a_4 & a_5 \end{array} \right) \]

Definition at line 35 of file HelperOps.h.

Public Types
enum	{ kRows = D, kCols = D, kSize = D*(D+1)/2 }

typedef T	value_type

Public Member Functions
	MatRepSym ()

T	apply (unsigned int i) const

T *	Array ()

const T *	Array () const

T &	operator() (unsigned int i, unsigned int j)

T const &	operator() (unsigned int i, unsigned int j) const

template<class R >
MatRepSym< T, D > &	operator+= (const R &)
	self addition : only symmetric to symmetric allowed More...

MatRepSym< T, D > &	operator+= (const MatRepSym &rhs)

template<class R >
MatRepSym< T, D > &	operator-= (const R &)
	self subtraction : only symmetric to symmetric allowed More...

MatRepSym< T, D > &	operator-= (const MatRepSym &rhs)

template<class R >
MatRepSym< T, D > &	operator= (const R &)
	assignment : only symmetric to symmetric allowed More...

MatRepSym< T, D > &	operator= (const MatRepSym &rhs)

template<class R >
bool	operator== (const R &rhs) const

T &	operator[] (unsigned int i)

T const &	operator[] (unsigned int i) const

Static Public Member Functions
static int	off (int i)

static constexpr int	off0 (int i)

static constexpr int	off1 (int i)

static constexpr int	off2 (int i, int j)

static constexpr unsigned int	offset (unsigned int i, unsigned int j)

Private Attributes
T	fArray [kSize]

#include <Math/HelperOps.h>

Member Typedef Documentation

◆ value_type

template<class T, unsigned int D>

typedef T ROOT::Math::MatRepSym< T, D >::value_type

Definition at line 220 of file MatrixRepresentationsStatic.h.

Member Enumeration Documentation

◆ anonymous enum

template<class T, unsigned int D>

anonymous enum

Enumerator
kRows	return no. of matrix rows
kCols	return no. of matrix columns
kSize	return no of elements: rows*columns

Definition at line 295 of file MatrixRepresentationsStatic.h.

Constructor & Destructor Documentation

◆ MatRepSym()

template<class T, unsigned int D>

ROOT::Math::MatRepSym< T, D >::MatRepSym ( )

inline

Definition at line 218 of file MatrixRepresentationsStatic.h.

Member Function Documentation

◆ apply()

template<class T, unsigned int D>

T ROOT::Math::MatRepSym< T, D >::apply ( unsigned int i ) const

inline

Definition at line 237 of file MatrixRepresentationsStatic.h.

◆ Array() [1/2]

template<class T, unsigned int D>

T* ROOT::Math::MatRepSym< T, D >::Array ( )

inline

Definition at line 241 of file MatrixRepresentationsStatic.h.

◆ Array() [2/2]

template<class T, unsigned int D>

const T* ROOT::Math::MatRepSym< T, D >::Array ( ) const

inline

Definition at line 243 of file MatrixRepresentationsStatic.h.

◆ off()

template<class T, unsigned int D>

static int ROOT::Math::MatRepSym< T, D >::off ( int i )

inlinestatic

Definition at line 308 of file MatrixRepresentationsStatic.h.

◆ off0()

template<class T, unsigned int D>

static constexpr int ROOT::Math::MatRepSym< T, D >::off0 ( int i )

inlinestatic

Definition at line 304 of file MatrixRepresentationsStatic.h.

◆ off1()

template<class T, unsigned int D>

static constexpr int ROOT::Math::MatRepSym< T, D >::off1 ( int i )

inlinestatic

Definition at line 306 of file MatrixRepresentationsStatic.h.

◆ off2()

template<class T, unsigned int D>

static constexpr int ROOT::Math::MatRepSym< T, D >::off2	(	int	i,
		int	j
	)

inlinestatic

Definition at line 305 of file MatrixRepresentationsStatic.h.

◆ offset()

template<class T, unsigned int D>

static constexpr unsigned int ROOT::Math::MatRepSym< T, D >::offset	(	unsigned int	i,
		unsigned int	j
	)

inlinestatic

Definition at line 314 of file MatrixRepresentationsStatic.h.

◆ operator()() [1/2]

template<class T, unsigned int D>

T& ROOT::Math::MatRepSym< T, D >::operator()	(	unsigned int	i,
		unsigned int	j
	)

inline

Definition at line 223 of file MatrixRepresentationsStatic.h.

◆ operator()() [2/2]

template<class T, unsigned int D>

T const& ROOT::Math::MatRepSym< T, D >::operator()	(	unsigned int	i,
		unsigned int	j
	)		const

inline

Definition at line 226 of file MatrixRepresentationsStatic.h.

◆ operator+=() [1/2]

template<class T, unsigned int D>

template<class R >

MatRepSym<T, D>& ROOT::Math::MatRepSym< T, D >::operator+= ( const R & )

inline

self addition : only symmetric to symmetric allowed

Definition at line 263 of file MatrixRepresentationsStatic.h.

◆ operator+=() [2/2]

template<class T, unsigned int D>

MatRepSym<T, D>& ROOT::Math::MatRepSym< T, D >::operator+= ( const MatRepSym< T, D > & rhs )

inline

Definition at line 268 of file MatrixRepresentationsStatic.h.

◆ operator-=() [1/2]

template<class T, unsigned int D>

template<class R >

MatRepSym<T, D>& ROOT::Math::MatRepSym< T, D >::operator-= ( const R & )

inline

self subtraction : only symmetric to symmetric allowed

Definition at line 277 of file MatrixRepresentationsStatic.h.

◆ operator-=() [2/2]

template<class T, unsigned int D>

MatRepSym<T, D>& ROOT::Math::MatRepSym< T, D >::operator-= ( const MatRepSym< T, D > & rhs )

inline

Definition at line 282 of file MatrixRepresentationsStatic.h.

◆ operator=() [1/2]

template<class T, unsigned int D>

template<class R >

MatRepSym<T, D>& ROOT::Math::MatRepSym< T, D >::operator= ( const R & )

inline

assignment : only symmetric to symmetric allowed

Definition at line 249 of file MatrixRepresentationsStatic.h.

◆ operator=() [2/2]

template<class T, unsigned int D>

MatRepSym<T, D>& ROOT::Math::MatRepSym< T, D >::operator= ( const MatRepSym< T, D > & rhs )

inline

Definition at line 254 of file MatrixRepresentationsStatic.h.

◆ operator==()

template<class T, unsigned int D>

template<class R >

bool ROOT::Math::MatRepSym< T, D >::operator== ( const R & rhs ) const

inline

Definition at line 287 of file MatrixRepresentationsStatic.h.

◆ operator[]() [1/2]

template<class T, unsigned int D>

T& ROOT::Math::MatRepSym< T, D >::operator[] ( unsigned int i )

inline

Definition at line 229 of file MatrixRepresentationsStatic.h.

◆ operator[]() [2/2]

template<class T, unsigned int D>

T const& ROOT::Math::MatRepSym< T, D >::operator[] ( unsigned int i ) const

inline

Definition at line 233 of file MatrixRepresentationsStatic.h.

Member Data Documentation

◆ fArray

template<class T, unsigned int D>

T ROOT::Math::MatRepSym< T, D >::fArray[kSize]

private

Definition at line 323 of file MatrixRepresentationsStatic.h.

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

math/smatrix/inc/Math/HelperOps.h
math/smatrix/inc/Math/MatrixRepresentationsStatic.h

template<class T, unsigned int D> class ROOT::Math::MatRepSym< T, D >

Public Types

Public Member Functions

Static Public Member Functions

Private Attributes

Member Typedef Documentation

◆ value_type

Member Enumeration Documentation

◆ anonymous enum

Constructor & Destructor Documentation

◆ MatRepSym()

Member Function Documentation

◆ apply()

◆ Array() [1/2]

◆ Array() [2/2]

◆ off()

◆ off0()

◆ off1()

◆ off2()

◆ offset()

◆ operator()() [1/2]

◆ operator()() [2/2]

◆ 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]

Member Data Documentation

◆ fArray

template<class T, unsigned int D>
class ROOT::Math::MatRepSym< T, D >