asl::AMatr< T > Class Template Reference

#include <aslMatrices.h>

Public Member Functions
	AMatr ()
	AMatr (unsigned int nR, unsigned int nC)
	AMatr (const AMatr< T > &a)
	AMatr (unsigned int nR, unsigned int nC, AVec< T > v)
template<typename T1 >
	AMatr (const AMatr< T1 > &a)
const AMatr< T > &	operator= (const AMatr &a)
T &	operator() (int i, int j)
	doesn't chek boundaries More...
const T &	operator() (int i, int j) const
	doesn't chek boundaries More...
T &	operator[] (int i)
	doesn't chek boundaries More...
const T &	operator[] (int i) const
	doesn't chek boundaries More...
unsigned int	getNRow () const
unsigned int	getNCol () const
void	resize (unsigned int nR, unsigned int nCol)
const AVec< T > &	getInternalVec () const
AVec< T > &	getInternalVec ()
void	setRow (unsigned int r, const AVec< T > &a)
void	setColumn (unsigned int c, const AVec< T > &a)
	AMatr ()
	AMatr (unsigned int nR, unsigned int nC)
	AMatr (const AMatr< T > &a)
	AMatr (unsigned int nR, unsigned int nC, AVec< T > v)
template<typename T1 >
	AMatr (const AMatr< T1 > &a)
const AMatr< T > &	operator= (const AMatr &a)
T &	operator() (int i, int j)
	doesn't chek boundaries More...
const T &	operator() (int i, int j) const
	doesn't chek boundaries More...
T &	operator[] (int i)
	doesn't chek boundaries More...
const T &	operator[] (int i) const
	doesn't chek boundaries More...
unsigned int	getNRow () const
unsigned int	getNCol () const
void	resize (unsigned int nR, unsigned int nCol)
const AVec< T > &	getInternalVec () const
AVec< T > &	getInternalVec ()
void	setRow (unsigned int r, const AVec< T > &a)
void	setColumn (unsigned int c, const AVec< T > &a)

Related Functions
(Note that these are not member functions.)
template<typename T >
std::ostream &	operator<< (std::ostream &f, const AMatr< T > &a)
template<typename T >
const AMatr< T > &	operator+= (AMatr< T > &a, const AMatr< T > &b)
template<typename T >
const AMatr< T >	operator+ (const AMatr< T > &a, const AMatr< T > &b)
template<typename T >
const AMatr< T >	operator- (const AMatr< T > &a, const AMatr< T > &b)
template<typename T >
const AMatr< T >	operator* (const AMatr< T > &a, const AMatr< T > &b)
template<typename T >
const AVec< T >	operator* (const AMatr< T > &a, const AVec< T > &b)
template<typename T >
const AVec< T >	operator* (const AVec< T > &a, const AMatr< T > &b)
template<typename T >
const AMatr< T >	operator* (const AMatr< T > &a, const T &b)
template<typename T >
const AMatr< T >	operator* (const T &a, const AMatr< T > &b)
template<typename T >
const T	trace (const AMatr< T > &a)
	Trace of a matrix \(Tr(A)\equiv A_{ii}\). More...
template<typename T >
const T	trace (const AMatr< T > &a, const AMatr< T > &b)
	Trace of a matrix product \(Tr(A B)\equiv A_{ij}B_{ji}\). More...
template<typename T >
const AMatr< T >	operator/ (const AMatr< T > &b, const T &a)
template<typename T >
AMatr< T >	elementProduct (const AVec< T > &a, const AVec< T > &b)
	element product of two vectors More...
template<typename T >
AMatr< T >	makeAMatr (const AVec< T > &a)
	generates a matrix with a row More...
template<typename T >
AMatr< T >	makeAMatr (const AVec< T > &a, const AVec< T > &b)
	generates a matrix with two rows More...
template<typename T >
AMatr< T >	makeAMatr (const AVec< T > &a, const AVec< T > &b, const AVec< T > &c)
	generates a matrix with three rows More...
template<typename T >
AMatr< T >	makeAMatr (AVec< T > *a, unsigned int n)
	generates a matrix with n rows More...
template<typename T = int>
AMatr< T >	makeAMatrUnit (unsigned int n)
template<typename T >
AVec< T >	getDiagonal (const AMatr< T > &a)
	returns AVec containing the diagonal elements More...
template<typename T >
AVec< T >	getOffDiagonalUp (const AMatr< T > &a)
	returns AVec<T> containing the uper off diagonal elements More...
template<typename T >
T	det (const AMatr< T > &m)
	computes determinant expression fo cases 2x2 and 3x3 only More...
template<typename T >
AMatr< T >	replaceRow (const AMatr< T > &a, const AVec< T > &b, unsigned int r)
	generate matrix with content of the matrix a but with replaced row r by vector b More...
template<typename T >
AMatr< T >	replaceColumn (const AMatr< T > &a, const AVec< T > &b, unsigned int c)
	generate matrix with content of the matrix a but with replaced column c by vector b More...
template<typename T >
AMatr< T >	inverseMatrix (const AMatr< T > &a)
	returns inverse matrix for cases 2x2 and 3x3 More...
template<typename T >
std::ostream &	operator<< (std::ostream &f, const AMatr< T > &a)
template<typename T >
const AMatr< T > &	operator+= (AMatr< T > &a, const AMatr< T > &b)
template<typename T >
const AMatr< T >	operator+ (const AMatr< T > &a, const AMatr< T > &b)
template<typename T >
const AMatr< T >	operator- (const AMatr< T > &a, const AMatr< T > &b)
template<typename T >
const AMatr< T >	operator* (const AMatr< T > &a, const AMatr< T > &b)
template<typename T >
const AVec< T >	operator* (const AMatr< T > &a, const AVec< T > &b)
template<typename T >
const AVec< T >	operator* (const AVec< T > &a, const AMatr< T > &b)
template<typename T >
const AMatr< T >	operator* (const AMatr< T > &a, const T &b)
template<typename T >
const AMatr< T >	operator* (const T &a, const AMatr< T > &b)
template<typename T >
const T	trace (const AMatr< T > &a)
	Trace of a matrix \(Tr(A)\equiv A_{ii}\). More...
template<typename T >
const T	trace (const AMatr< T > &a, const AMatr< T > &b)
	Trace of a matrix product \(Tr(A B)\equiv A_{ij}B_{ji}\). More...
template<typename T >
const AMatr< T >	operator/ (const AMatr< T > &b, const T &a)
template<typename T >
AMatr< T >	elementProduct (const AVec< T > &a, const AVec< T > &b)
	element product of two vectors More...
template<typename T >
AMatr< T >	makeAMatr (const AVec< T > &a)
	generates a matrix with a row More...
template<typename T >
AMatr< T >	makeAMatr (const AVec< T > &a, const AVec< T > &b)
	generates a matrix with two rows More...
template<typename T >
AMatr< T >	makeAMatr (const AVec< T > &a, const AVec< T > &b, const AVec< T > &c)
	generates a matrix with three rows More...
template<typename T >
AMatr< T >	makeAMatr (AVec< T > *a, unsigned int n)
	generates a matrix with n rows More...
template<typename T = int>
AMatr< T >	makeAMatrUnit (unsigned int n)
template<typename T >
AVec< T >	getDiagonal (const AMatr< T > &a)
	returns AVec containing the diagonal elements More...
template<typename T >
AVec< T >	getOffDiagonalUp (const AMatr< T > &a)
	returns AVec<T> containing the uper off diagonal elements More...
template<typename T >
T	det (const AMatr< T > &m)
	computes determinant expression fo cases 2x2 and 3x3 only More...
template<typename T >
AMatr< T >	replaceRow (const AMatr< T > &a, const AVec< T > &b, unsigned int r)
	generate matrix with content of the matrix a but with replaced row r by vector b More...
template<typename T >
AMatr< T >	replaceColumn (const AMatr< T > &a, const AVec< T > &b, unsigned int c)
	generate matrix with content of the matrix a but with replaced column c by vector b More...
template<typename T >
AMatr< T >	inverseMatrix (const AMatr< T > &a)
	returns inverse matrix for cases 2x2 and 3x3 More...

Detailed Description

template<typename T = double>
class asl::AMatr< T >

class algebraic matrix. The class is an implementation of a dynamic matrix with defined algebraic operations

Definition at line 38 of file aslMatrices.h.

Constructor & Destructor Documentation

template<typename T >

asl::AMatr< T >::AMatr ( )

inline

Definition at line 191 of file aslMatrices.h.

template<typename T >

asl::AMatr< T >::AMatr ( unsigned int  nR, unsigned int  nC  )

inline

Definition at line 197 of file aslMatrices.h.

template<typename T>

asl::AMatr< T >::AMatr ( const AMatr< T > &  a )

inline

Definition at line 203 of file aslMatrices.h.

template<typename T>

asl::AMatr< T >::AMatr ( unsigned int  nR, unsigned int  nC, AVec< T >  v  )

inline

Definition at line 209 of file aslMatrices.h.

template<typename T = double>

template<typename T1 >

asl::AMatr< T >::AMatr

(

const AMatr< T1 > &

a

)

template<typename T = double>

asl::AMatr< T >::AMatr ( )

inline

template<typename T = double>

asl::AMatr< T >::AMatr ( unsigned int  nR, unsigned int  nC  )

inline

template<typename T = double>

asl::AMatr< T >::AMatr ( const AMatr< T > &  a )

inline

template<typename T = double>

asl::AMatr< T >::AMatr ( unsigned int  nR, unsigned int  nC, AVec< T >  v  )

inline

template<typename T = double>

template<typename T1 >

asl::AMatr< T >::AMatr

(

const AMatr< T1 > &

a

)

Member Function Documentation

template<typename T >

const AVec< T > & asl::AMatr< T >::getInternalVec ( ) const

inline

Definition at line 221 of file aslMatrices.h.

template<typename T = double>

const AVec<T>& asl::AMatr< T >::getInternalVec ( ) const

inline

template<typename T >

AVec< T > & asl::AMatr< T >::getInternalVec ( )

inline

Definition at line 216 of file aslMatrices.h.

template<typename T = double>

AVec<T>& asl::AMatr< T >::getInternalVec ( )

inline

template<typename T = double>

unsigned int asl::AMatr< T >::getNCol ( ) const

inline

template<typename T >

unsigned int asl::AMatr< T >::getNCol ( ) const

inline

Definition at line 231 of file aslMatrices.h.

template<typename T = double>

unsigned int asl::AMatr< T >::getNRow ( ) const

inline

template<typename T >

unsigned int asl::AMatr< T >::getNRow ( ) const

inline

Definition at line 226 of file aslMatrices.h.

template<typename T = double>

T& asl::AMatr< T >::operator() ( int  i, int  j  )

inline

doesn't chek boundaries

Definition at line 52 of file aslMatrices.h.

template<typename T = double>

T& asl::AMatr< T >::operator() ( int  i, int  j  )

inline

doesn't chek boundaries

Definition at line 52 of file aslMatrices.h.

template<typename T = double>

const T& asl::AMatr< T >::operator() ( int  i, int  j  ) const

inline

doesn't chek boundaries

Definition at line 54 of file aslMatrices.h.

template<typename T = double>

const T& asl::AMatr< T >::operator() ( int  i, int  j  ) const

inline

doesn't chek boundaries

Definition at line 54 of file aslMatrices.h.

template<typename T = double>

const AMatr<T>& asl::AMatr< T >::operator=

(

const AMatr< T > &

a

)

template<typename T = double>

const AMatr<T>& asl::AMatr< T >::operator=

(

const AMatr< T > &

a

)

template<typename T = double>

T& asl::AMatr< T >::operator[] ( int  i )

inline

doesn't chek boundaries

Definition at line 56 of file aslMatrices.h.

template<typename T = double>

T& asl::AMatr< T >::operator[] ( int  i )

inline

doesn't chek boundaries

Definition at line 56 of file aslMatrices.h.

template<typename T = double>

const T& asl::AMatr< T >::operator[] ( int  i ) const

inline

doesn't chek boundaries

Definition at line 58 of file aslMatrices.h.

template<typename T = double>

const T& asl::AMatr< T >::operator[] ( int  i ) const

inline

doesn't chek boundaries

Definition at line 58 of file aslMatrices.h.

template<typename T = double>

void asl::AMatr< T >::resize ( unsigned int  nR, unsigned int  nCol  )

inline

template<typename T >

void asl::AMatr< T >::resize ( unsigned int  nR, unsigned int  nCol  )

inline

Definition at line 237 of file aslMatrices.h.

template<typename T = double>

void asl::AMatr< T >::setColumn	(	unsigned int	c,
		const AVec< T > &	a
	)

template<typename T = double>

void asl::AMatr< T >::setColumn	(	unsigned int	c,
		const AVec< T > &	a
	)

template<typename T = double>

void asl::AMatr< T >::setRow	(	unsigned int	r,
		const AVec< T > &	a
	)

template<typename T = double>

void asl::AMatr< T >::setRow	(	unsigned int	r,
		const AVec< T > &	a
	)

Friends And Related Function Documentation

template<typename T >

T det ( const AMatr< T > &  m )

related

computes determinant expression fo cases 2x2 and 3x3 only

template<typename T >

T det ( const AMatr< T > &  m )

related

computes determinant expression fo cases 2x2 and 3x3 only

template<typename T >

AMatr< T > elementProduct ( const AVec< T > &  a, const AVec< T > &  b  )

related

element product of two vectors

\( elementProduct\left( \left[\begin{array}{c} a_1\\ \vdots \\ a_n \end{array}\right], \left[\begin{array}{c} b_1\\ \vdots \\ b_n \end{array}\right] = \left[\begin{array}{ccc} a_1b_1 & \cdots & a_1b_n\\ \vdots & \ddots & \vdots\\ a_nb_1 & \cdots & a_nb_n\\ \end{array}\right] \right) \)

template<typename T >

AMatr< T > elementProduct ( const AVec< T > &  a, const AVec< T > &  b  )

related

element product of two vectors

\( elementProduct\left( \left[\begin{array}{c} a_1\\ \vdots \\ a_n \end{array}\right], \left[\begin{array}{c} b_1\\ \vdots \\ b_n \end{array}\right] = \left[\begin{array}{ccc} a_1b_1 & \cdots & a_1b_n\\ \vdots & \ddots & \vdots\\ a_nb_1 & \cdots & a_nb_n\\ \end{array}\right] \right) \)

template<typename T >

AVec< T > getDiagonal ( const AMatr< T > &  a )

related

returns AVec containing the diagonal elements

the finction is valid only for square matrices

template<typename T >

AVec< T > getDiagonal ( const AMatr< T > &  a )

related

returns AVec containing the diagonal elements

the finction is valid only for square matrices

template<typename T >

AVec< T > getOffDiagonalUp ( const AMatr< T > &  a )

related

returns AVec<T> containing the uper off diagonal elements

the function is valid only for square matrices

Todo:

implement

template<typename T >

AVec< T > getOffDiagonalUp ( const AMatr< T > &  a )

related

returns AVec<T> containing the uper off diagonal elements

the function is valid only for square matrices

Todo:

implement

template<typename T >

AMatr< T > inverseMatrix ( const AMatr< T > &  a )

related

returns inverse matrix for cases 2x2 and 3x3

<T>

template<typename T >

AMatr< T > inverseMatrix ( const AMatr< T > &  a )

related

returns inverse matrix for cases 2x2 and 3x3

<T>

template<typename T >

AMatr< T > makeAMatr ( const AVec< T > &  a )

related

generates a matrix with a row

template<typename T >

AMatr< T > makeAMatr ( const AVec< T > &  a )

related

generates a matrix with a row

template<typename T >

AMatr< T > makeAMatr ( const AVec< T > &  a, const AVec< T > &  b  )

related

generates a matrix with two rows

template<typename T >

AMatr< T > makeAMatr ( const AVec< T > &  a, const AVec< T > &  b  )

related

generates a matrix with two rows

template<typename T >

AMatr< T > makeAMatr ( const AVec< T > &  a, const AVec< T > &  b, const AVec< T > &  c  )

related

generates a matrix with three rows

template<typename T >

AMatr< T > makeAMatr ( const AVec< T > &  a, const AVec< T > &  b, const AVec< T > &  c  )

related

generates a matrix with three rows

template<typename T >

AMatr< T > makeAMatr ( AVec< T > *  a, unsigned int  n  )

related

generates a matrix with n rows

template<typename T >

AMatr< T > makeAMatr ( AVec< T > *  a, unsigned int  n  )

related

generates a matrix with n rows

template<typename T = int>

AMatr< T > makeAMatrUnit ( unsigned int  n )

related

template<typename T = int>

AMatr< T > makeAMatrUnit ( unsigned int  n )

related

template<typename T >

const AMatr< T > operator* ( const AMatr< T > &  a, const AMatr< T > &  b  )

related

template<typename T >

const AMatr< T > operator* ( const AMatr< T > &  a, const AMatr< T > &  b  )

related

template<typename T >

const AVec< T > operator* ( const AMatr< T > &  a, const AVec< T > &  b  )

related

template<typename T >

const AVec< T > operator* ( const AMatr< T > &  a, const AVec< T > &  b  )

related

template<typename T >

const AVec< T > operator* ( const AVec< T > &  a, const AMatr< T > &  b  )

related

template<typename T >

const AVec< T > operator* ( const AVec< T > &  a, const AMatr< T > &  b  )

related

template<typename T >

const AMatr< T > operator* ( const AMatr< T > &  a, const T &  b  )

related

template<typename T >

const AMatr< T > operator* ( const AMatr< T > &  a, const T &  b  )

related

template<typename T >

const AMatr< T > operator* ( const T &  a, const AMatr< T > &  b  )

related

template<typename T >

const AMatr< T > operator* ( const T &  a, const AMatr< T > &  b  )

related

template<typename T >

const AMatr< T > operator+ ( const AMatr< T > &  a, const AMatr< T > &  b  )

related

Definition at line 252 of file aslMatrices.h.

template<typename T >

const AMatr< T > operator+ ( const AMatr< T > &  a, const AMatr< T > &  b  )

related

Definition at line 252 of file aslMatrices.h.

template<typename T >

const AMatr< T > & operator+= ( AMatr< T > &  a, const AMatr< T > &  b  )

related

Definition at line 245 of file aslMatrices.h.

template<typename T >

const AMatr< T > & operator+= ( AMatr< T > &  a, const AMatr< T > &  b  )

related

Definition at line 245 of file aslMatrices.h.

template<typename T >

const AMatr< T > operator- ( const AMatr< T > &  a, const AMatr< T > &  b  )

related

Definition at line 258 of file aslMatrices.h.

template<typename T >

const AMatr< T > operator- ( const AMatr< T > &  a, const AMatr< T > &  b  )

related

Definition at line 258 of file aslMatrices.h.

template<typename T >

const AMatr< T > operator/ ( const AMatr< T > &  b, const T &  a  )

related

Definition at line 264 of file aslMatrices.h.

template<typename T >

const AMatr< T > operator/ ( const AMatr< T > &  b, const T &  a  )

related

Definition at line 264 of file aslMatrices.h.

template<typename T >

std::ostream & operator<< ( std::ostream &  f, const AMatr< T > &  a  )

related

template<typename T >

std::ostream & operator<< ( std::ostream &  f, const AMatr< T > &  a  )

related

template<typename T >

AMatr< T > replaceColumn ( const AMatr< T > &  a, const AVec< T > &  b, unsigned int  c  )

related

generate matrix with content of the matrix a but with replaced column c by vector b

<T>

template<typename T >

AMatr< T > replaceColumn ( const AMatr< T > &  a, const AVec< T > &  b, unsigned int  c  )

related

generate matrix with content of the matrix a but with replaced column c by vector b

<T>

template<typename T >

AMatr< T > replaceRow ( const AMatr< T > &  a, const AVec< T > &  b, unsigned int  r  )

related

generate matrix with content of the matrix a but with replaced row r by vector b

<T>

template<typename T >

AMatr< T > replaceRow ( const AMatr< T > &  a, const AVec< T > &  b, unsigned int  r  )

related

generate matrix with content of the matrix a but with replaced row r by vector b

<T>

template<typename T >

const T trace ( const AMatr< T > &  a )

related

Trace of a matrix \(Tr(A)\equiv A_{ii}\).

template<typename T >

const T trace ( const AMatr< T > &  a )

related

Trace of a matrix \(Tr(A)\equiv A_{ii}\).

template<typename T >

const T trace ( const AMatr< T > &  a, const AMatr< T > &  b  )

related

Trace of a matrix product \(Tr(A B)\equiv A_{ij}B_{ji}\).

template<typename T >

const T trace ( const AMatr< T > &  a, const AMatr< T > &  b  )

related

Trace of a matrix product \(Tr(A B)\equiv A_{ij}B_{ji}\).

---

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

• /build/asl-cIsmox/asl-0.1.6/debian/tmp/usr/include/ASL/math/aslMatrices.h