Triangular matrix stored in a full matrix. More...

#include <Matrix_Triangular.hxx>

Inheritance diagram for Seldon::Matrix_Triangular< T, Prop, Storage, Allocator >:

Public Types
typedef Allocator::value_type	value_type
typedef Allocator::pointer	pointer
typedef Allocator::const_pointer	const_pointer
typedef Allocator::reference	reference
typedef Allocator::const_reference	const_reference
typedef Allocator::value_type	entry_type
typedef Allocator::value_type	access_type
typedef Allocator::value_type	const_access_type
Public Member Functions
	Matrix_Triangular ()
	Default constructor.
	Matrix_Triangular (int i, int j)
	Main constructor.
	Matrix_Triangular (const Matrix_Triangular< T, Prop, Storage, Allocator > &A)
	Copy constructor.
	~Matrix_Triangular ()
	Destructor.
void	Clear ()
	Clears the matrix.
int	GetDataSize () const
	Returns the number of elements stored in memory.
void	Reallocate (int i, int j)
	Reallocates memory to resize the matrix.
void	Resize (int i, int j)
	Reallocates memory to resize the matrix and keeps previous entries.
void	SetData (int i, int j, pointer data)
void	Nullify ()
	Clears the matrix without releasing memory.
value_type	operator() (int i, int j)
	Access operator.
value_type	operator() (int i, int j) const
	Access operator.
const_reference	Val (int i, int j) const
	Access operator.
reference	Val (int i, int j)
	Access operator.
reference	operator[] (int i)
	Access to elements of the data array.
const_reference	operator[] (int i) const
	Access to elements of the data array.
Matrix_Triangular< T, Prop, Storage, Allocator > &	operator= (const Matrix_Triangular< T, Prop, Storage, Allocator > &A)
	Duplicates a matrix (assignment operator).
void	Copy (const Matrix_Triangular< T, Prop, Storage, Allocator > &A)
	Duplicates a matrix.
void	Zero ()
	Sets all elements to zero.
void	SetIdentity ()
	Sets the matrix to the identity.
void	Fill ()
	Fills the matrix with 0, 1, 2, ...
template<class T0 >
void	Fill (const T0 &x)
	Fills the matrix with a given value.
template<class T0 >
Matrix_Triangular< T, Prop, Storage, Allocator > &	operator= (const T0 &x)
	Fills the matrix with a given value.
void	FillRand ()
	Fills the matrix randomly.
void	Print () const
	Displays the matrix on the standard output.
void	Print (int a, int b, int m, int n) const
	Displays a sub-matrix on the standard output.
void	Print (int l) const
	Displays a square sub-matrix on the standard output.
void	Write (string FileName) const
	Writes the matrix in a file.
void	Write (ostream &FileStream) const
	Writes the matrix to an output stream.
void	WriteText (string FileName) const
	Writes the matrix in a file.
void	WriteText (ostream &FileStream) const
	Writes the matrix to an output stream.
void	Read (string FileName)
	Reads the matrix from a file.
void	Read (istream &FileStream)
	Reads the matrix from an input stream.
void	ReadText (string FileName)
	Reads the matrix from a file.
void	ReadText (istream &FileStream)
	Reads the matrix from an input stream.
int	GetM () const
	Returns the number of rows.
int	GetM (const Seldon::SeldonTranspose &status) const
	Returns the number of rows of the matrix possibly transposed.
int	GetN () const
	Returns the number of columns.
int	GetN (const Seldon::SeldonTranspose &status) const
	Returns the number of columns of the matrix possibly transposed.
int	GetSize () const
	Returns the number of elements in the matrix.
pointer	GetData () const
	Returns a pointer to the data array.
const_pointer	GetDataConst () const
	Returns a const pointer to the data array.
void *	GetDataVoid () const
	Returns a pointer of type "void*" to the data array.
const void *	GetDataConstVoid () const
	Returns a pointer of type "const void*" to the data array.
Allocator &	GetAllocator ()
	Returns the allocator of the matrix.
Protected Attributes
pointer *	me_
int	m_
int	n_
pointer	data_
Static Protected Attributes
static Allocator	allocator_

Detailed Description

template<class T, class Prop, class Storage, class Allocator = SELDON_DEFAULT_ALLOCATOR<T>>
class Seldon::Matrix_Triangular< T, Prop, Storage, Allocator >

Triangular matrix stored in a full matrix.

Definition at line 38 of file Matrix_Triangular.hxx.

Constructor & Destructor Documentation

template<class T , class Prop , class Storage , class Allocator >

Seldon::Matrix_Triangular< T, Prop, Storage, Allocator >::Matrix_Triangular ( ) [inline]

Default constructor.

On exit, the matrix is an empty 0x0 matrix.

Definition at line 37 of file Matrix_Triangular.cxx.

template<class T , class Prop , class Storage , class Allocator >

Seldon::Matrix_Triangular< T, Prop, Storage, Allocator >::Matrix_Triangular	(	int	i,
		int	j
	)			`[inline]`

Main constructor.

Builds a i x j full matrix.

Parameters:

	i	number of rows.
	j	number of columns.

Note:: 'j' is assumed to be equal to 'i' and is therefore discarded.

Definition at line 52 of file Matrix_Triangular.cxx.

Member Function Documentation

template<class T , class Prop , class Storage , class Allocator >

void Seldon::Matrix_Triangular< T, Prop, Storage, Allocator >::Clear ( ) [inline]

Clears the matrix.

Destructs the matrix.

Warning:: On exit, the matrix is an empty 0x0 matrix.

Definition at line 203 of file Matrix_Triangular.cxx.

template<class T, class Prop, class Storage, class Allocator>

void Seldon::Matrix_Triangular< T, Prop, Storage, Allocator >::Copy ( const Matrix_Triangular< T, Prop, Storage, Allocator > & A ) [inline]

Duplicates a matrix.

Parameters:

A

matrix to be copied.

Note:: Memory is duplicated: 'A' is therefore independent from the current instance after the copy.

Definition at line 684 of file Matrix_Triangular.cxx.

template<class T , class Prop , class Storage , class Allocator >

void Seldon::Matrix_Triangular< T, Prop, Storage, Allocator >::Fill ( )

Fills the matrix with 0, 1, 2, ...

On exit, the matrix is filled with 0, 1, 2, 3, ... The order of those numbers depends on the storage.

Definition at line 728 of file Matrix_Triangular.cxx.

template<class T , class Prop , class Storage , class Allocator >

template<class T0 >

void Seldon::Matrix_Triangular< T, Prop, Storage, Allocator >::Fill ( const T0 & x )

Fills the matrix with a given value.

On exit, the matrix is filled with 'x'.

Parameters:

x

the value to fill the matrix with.

Definition at line 742 of file Matrix_Triangular.cxx.

template<class T , class Prop , class Storage , class Allocator >

void Seldon::Matrix_Triangular< T, Prop, Storage, Allocator >::FillRand ( )

Fills the matrix randomly.

Note:: The random generator is very basic.

Definition at line 770 of file Matrix_Triangular.cxx.

template<class T , class Allocator >

Allocator & Seldon::Matrix_Base< T, Allocator >::GetAllocator ( ) [inherited]

Returns the allocator of the matrix.

Returns:: The allocator.

Definition at line 257 of file Matrix_Base.cxx.

template<class T , class Allocator >

Matrix_Base< T, Allocator >::pointer Seldon::Matrix_Base< T, Allocator >::GetData ( ) const [inherited]

Returns a pointer to the data array.

Returns a pointer to data, i.e. the data array 'data_'.

Returns:: A pointer to the data array.

Definition at line 207 of file Matrix_Base.cxx.

template<class T , class Allocator >

Matrix_Base< T, Allocator >::const_pointer Seldon::Matrix_Base< T, Allocator >::GetDataConst ( ) const [inherited]

Returns a const pointer to the data array.

Returns a const pointer to data, i.e. the data array 'data_'.

Returns:: A const pointer to the data array.

Definition at line 220 of file Matrix_Base.cxx.

template<class T , class Allocator >

const void * Seldon::Matrix_Base< T, Allocator >::GetDataConstVoid ( ) const [inherited]

Returns a pointer of type "const void*" to the data array.

Returns a pointer of type "const void*" to data, i.e. the data array 'data_'.

Returns:: A const pointer of type "void*" to the data array.

Definition at line 246 of file Matrix_Base.cxx.

template<class T , class Prop , class Storage , class Allocator >

int Seldon::Matrix_Triangular< T, Prop, Storage, Allocator >::GetDataSize ( ) const

Returns the number of elements stored in memory.

Returns the number of elements stored in memory, i.e. the number of rows multiplied by the number of columns because the matrix is full.

Returns:: The number of elements stored in memory.

Definition at line 224 of file Matrix_Triangular.cxx.

template<class T , class Allocator >

void * Seldon::Matrix_Base< T, Allocator >::GetDataVoid ( ) const [inherited]

Returns a pointer of type "void*" to the data array.

Returns a pointer of type "void*" to data, i.e. the data array 'data_'.

Returns:: A pointer of type "void*" to the data array.

Definition at line 233 of file Matrix_Base.cxx.

template<class T , class Allocator >

int Seldon::Matrix_Base< T, Allocator >::GetM ( ) const [inherited]

Returns the number of rows.

Returns:: The number of rows.

Reimplemented in Seldon::HeterogeneousMatrixCollection< Prop0, Storage0, Prop1, Storage1, Allocator >, Seldon::MatrixCollection< T, Prop, Storage, Allocator >, Seldon::SubMatrix_Base< T, Prop, M, Allocator >, Seldon::HeterogeneousMatrixCollection< General, RowMajor, General, RowSparse, Allocator >, Seldon::MatrixCollection< T, Prop, RowMajor, Allocator >, Seldon::MatrixCollection< T, Prop, ColMajor, Allocator >, Seldon::MatrixCollection< T, Prop, ColSymPacked, Allocator >, and Seldon::MatrixCollection< T, Prop, RowSymPacked, Allocator >.

Definition at line 106 of file Matrix_Base.cxx.

template<class T , class Allocator >

int Seldon::Matrix_Base< T, Allocator >::GetM ( const Seldon::SeldonTranspose & status ) const [inherited]

Returns the number of rows of the matrix possibly transposed.

Parameters:

status

assumed status about the transposition of the matrix.

Returns:: The number of rows of the possibly-transposed matrix.

Reimplemented in Seldon::SubMatrix_Base< T, Prop, M, Allocator >.

Definition at line 129 of file Matrix_Base.cxx.

template<class T , class Allocator >

int Seldon::Matrix_Base< T, Allocator >::GetN ( ) const [inherited]

Returns the number of columns.

Returns:: The number of columns.

Reimplemented in Seldon::HeterogeneousMatrixCollection< Prop0, Storage0, Prop1, Storage1, Allocator >, Seldon::MatrixCollection< T, Prop, Storage, Allocator >, Seldon::SubMatrix_Base< T, Prop, M, Allocator >, Seldon::HeterogeneousMatrixCollection< General, RowMajor, General, RowSparse, Allocator >, Seldon::MatrixCollection< T, Prop, RowMajor, Allocator >, Seldon::MatrixCollection< T, Prop, ColMajor, Allocator >, Seldon::MatrixCollection< T, Prop, ColSymPacked, Allocator >, and Seldon::MatrixCollection< T, Prop, RowSymPacked, Allocator >.

Definition at line 117 of file Matrix_Base.cxx.

template<class T , class Allocator >

int Seldon::Matrix_Base< T, Allocator >::GetN ( const Seldon::SeldonTranspose & status ) const [inherited]

Returns the number of columns of the matrix possibly transposed.

Parameters:

status

assumed status about the transposition of the matrix.

Returns:: The number of columns of the possibly-transposed matrix.

Reimplemented in Seldon::SubMatrix_Base< T, Prop, M, Allocator >.

Definition at line 144 of file Matrix_Base.cxx.

template<class T , class Allocator >

int Seldon::Matrix_Base< T, Allocator >::GetSize ( ) const [inherited]

Returns the number of elements in the matrix.

Returns the number of elements in the matrix, i.e. the number of rows multiplied by the number of columns.

Returns:: The number of elements in the matrix.

Reimplemented in Seldon::HeterogeneousMatrixCollection< Prop0, Storage0, Prop1, Storage1, Allocator >, Seldon::MatrixCollection< T, Prop, Storage, Allocator >, Seldon::HeterogeneousMatrixCollection< General, RowMajor, General, RowSparse, Allocator >, Seldon::MatrixCollection< T, Prop, RowMajor, Allocator >, Seldon::MatrixCollection< T, Prop, ColMajor, Allocator >, Seldon::MatrixCollection< T, Prop, ColSymPacked, Allocator >, and Seldon::MatrixCollection< T, Prop, RowSymPacked, Allocator >.

Definition at line 194 of file Matrix_Base.cxx.

template<class T , class Prop , class Storage , class Allocator >

void Seldon::Matrix_Triangular< T, Prop, Storage, Allocator >::Nullify ( ) [inline]

Clears the matrix without releasing memory.

On exit, the matrix is empty and the memory has not been released. It is useful for low level manipulations on a Matrix instance.

Warning:: Memory is not released except for me_.

Definition at line 435 of file Matrix_Triangular.cxx.

template<class T , class Prop , class Storage , class Allocator >

Matrix_Triangular< T, Prop, Storage, Allocator >::value_type Seldon::Matrix_Triangular< T, Prop, Storage, Allocator >::operator()	(	int	i,
		int	j
	)			const `[inline]`

Access operator.

Returns the value of element (i, j).

Parameters:

	i	row index.
	j	column index.

Returns:: Element (i, j) of the matrix.

Definition at line 520 of file Matrix_Triangular.cxx.

template<class T , class Prop , class Storage , class Allocator >

Matrix_Triangular< T, Prop, Storage, Allocator >::value_type Seldon::Matrix_Triangular< T, Prop, Storage, Allocator >::operator()	(	int	i,
		int	j
	)			`[inline]`

Access operator.

Returns the value of element (i, j).

Parameters:

	i	row index.
	j	column index.

Returns:: Element (i, j) of the matrix.

Definition at line 479 of file Matrix_Triangular.cxx.

template<class T , class Prop , class Storage , class Allocator >

template<class T0 >

Matrix_Triangular< T, Prop, Storage, Allocator > & Seldon::Matrix_Triangular< T, Prop, Storage, Allocator >::operator= ( const T0 & x )

Fills the matrix with a given value.

On exit, the matrix is filled with 'x'.

Parameters:

x

the value to fill the matrix with.

Reimplemented in Seldon::Matrix< T, Prop, ColUpTriang, Allocator >, Seldon::Matrix< T, Prop, ColLoTriang, Allocator >, Seldon::Matrix< T, Prop, RowUpTriang, Allocator >, and Seldon::Matrix< T, Prop, RowLoTriang, Allocator >.

Definition at line 757 of file Matrix_Triangular.cxx.

template<class T, class Prop, class Storage, class Allocator>

Matrix_Triangular< T, Prop, Storage, Allocator > & Seldon::Matrix_Triangular< T, Prop, Storage, Allocator >::operator= ( const Matrix_Triangular< T, Prop, Storage, Allocator > & A ) [inline]

Duplicates a matrix (assignment operator).

Parameters:

A

matrix to be copied.

Note:: Memory is duplicated: 'A' is therefore independent from the current instance after the copy.

Definition at line 668 of file Matrix_Triangular.cxx.

template<class T , class Prop , class Storage , class Allocator >

Matrix_Triangular< T, Prop, Storage, Allocator >::const_reference Seldon::Matrix_Triangular< T, Prop, Storage, Allocator >::operator[] ( int i ) const [inline]

Access to elements of the data array.

Provides a direct access to the data array.

Parameters:

i

index.

Returns:: i-th element of the data array.

Definition at line 644 of file Matrix_Triangular.cxx.

template<class T , class Prop , class Storage , class Allocator >

Matrix_Triangular< T, Prop, Storage, Allocator >::reference Seldon::Matrix_Triangular< T, Prop, Storage, Allocator >::operator[] ( int i ) [inline]

Access to elements of the data array.

Provides a direct access to the data array.

Parameters:

i

index.

Returns:: i-th element of the data array.

Definition at line 620 of file Matrix_Triangular.cxx.

template<class T , class Prop , class Storage , class Allocator >

void Seldon::Matrix_Triangular< T, Prop, Storage, Allocator >::Print ( int l ) const

Displays a square sub-matrix on the standard output.

The sub-matrix is defined by its bottom-right corner (l, l). So, elements with indices in [0, 0] x [l, l] are displayed on the standard output, in text format. Each row is displayed on a single line and elements of a row are delimited by tabulations.

Parameters:

l

dimension of the square matrix to be displayed.

Definition at line 831 of file Matrix_Triangular.cxx.

template<class T , class Prop , class Storage , class Allocator >

void Seldon::Matrix_Triangular< T, Prop, Storage, Allocator >::Print ( ) const

Displays the matrix on the standard output.

Displays elements on the standard output, in text format. Each row is displayed on a single line and elements of a row are delimited by tabulations.

Definition at line 785 of file Matrix_Triangular.cxx.

template<class T , class Prop , class Storage , class Allocator >

void Seldon::Matrix_Triangular< T, Prop, Storage, Allocator >::Print	(	int	a,
		int	b,
		int	m,
		int	n
	)			const

Displays a sub-matrix on the standard output.

The sub-matrix is defined by its upper-left corner (a, b) and its bottom-right corner (m, n). So, elements with indices in [a, m] x [b, n] are displayed on the standard output, in text format. Each row is displayed on a single line and elements of a row are delimited by tabulations.

Parameters:

	a	row index of the upper-left corner.
	b	column index of the upper-left corner.
	m	row index of the bottom-right corner.
	n	column index of the bottom-right corner.

Definition at line 810 of file Matrix_Triangular.cxx.

template<class T , class Prop , class Storage , class Allocator >

void Seldon::Matrix_Triangular< T, Prop, Storage, Allocator >::Read ( string FileName )

Reads the matrix from a file.

Reads a matrix stored in binary format in a file. The number of rows (integer) and the number of columns (integer) are read, and matrix elements are then read in the same order as it should be in memory (e.g. row-major storage).

Parameters:

FileName

input file name.

Definition at line 989 of file Matrix_Triangular.cxx.

template<class T , class Prop , class Storage , class Allocator >

void Seldon::Matrix_Triangular< T, Prop, Storage, Allocator >::Read ( istream & FileStream )

Reads the matrix from an input stream.

Reads a matrix in binary format from an input stream. The number of rows (integer) and the number of columns (integer) are read, and matrix elements are then read in the same order as it should be in memory (e.g. row-major storage).

Parameters:

FileStream

input stream.

Definition at line 1017 of file Matrix_Triangular.cxx.

template<class T , class Prop , class Storage , class Allocator >

void Seldon::Matrix_Triangular< T, Prop, Storage, Allocator >::ReadText ( istream & FileStream )

Reads the matrix from an input stream.

Reads a matrix in text format from an input stream.

Parameters:

FileStream

input stream.

Definition at line 1078 of file Matrix_Triangular.cxx.

template<class T , class Prop , class Storage , class Allocator >

void Seldon::Matrix_Triangular< T, Prop, Storage, Allocator >::ReadText ( string FileName )

Reads the matrix from a file.

Reads a matrix stored in text format in a file.

Parameters:

FileName

input file name.

Definition at line 1053 of file Matrix_Triangular.cxx.

template<class T , class Prop , class Storage , class Allocator >

void Seldon::Matrix_Triangular< T, Prop, Storage, Allocator >::Reallocate	(	int	i,
		int	j
	)			`[inline]`

Reallocates memory to resize the matrix.

On exit, the matrix is a i x i matrix.

Parameters:

	i	number of rows.
	j	number of columns.

Warning:: Depending on your allocator, data may be lost.

Definition at line 244 of file Matrix_Triangular.cxx.

template<class T , class Prop , class Storage , class Allocator >

void Seldon::Matrix_Triangular< T, Prop, Storage, Allocator >::Resize	(	int	i,
		int	j
	)			`[inline]`

Reallocates memory to resize the matrix and keeps previous entries.

On exit, the matrix is a i x i matrix.

Parameters:

	i	number of rows.
	j	number of columns.

Warning:: The previous entries are kept, extra-entries may not be initialized (depending of the allocator).

Definition at line 342 of file Matrix_Triangular.cxx.

template<class T , class Prop , class Storage , class Allocator >

Matrix_Triangular< T, Prop, Storage, Allocator >::const_reference Seldon::Matrix_Triangular< T, Prop, Storage, Allocator >::Val	(	int	i,
		int	j
	)			const `[inline]`

Access operator.

Returns the value of element (i, j).

Parameters:

	i	row index.
	j	column index.

Returns:: Element (i, j) of the matrix.

Note:: It returns the value stored i, memory. Even if the value is in the part of the matrix that should be filled with zeros, the value could be non-zero.

Definition at line 564 of file Matrix_Triangular.cxx.

template<class T , class Prop , class Storage , class Allocator >

Matrix_Triangular< T, Prop, Storage, Allocator >::reference Seldon::Matrix_Triangular< T, Prop, Storage, Allocator >::Val	(	int	i,
		int	j
	)			`[inline]`

Access operator.

Returns the value of element (i, j).

Parameters:

	i	row index.
	j	column index.

Returns:: Element (i, j) of the matrix.

Note:: It returns the value stored i, memory. Even if the value is in the part of the matrix that should be filled with zeros, the value could be non-zero.

Definition at line 594 of file Matrix_Triangular.cxx.

template<class T , class Prop , class Storage , class Allocator >

void Seldon::Matrix_Triangular< T, Prop, Storage, Allocator >::Write ( ostream & FileStream ) const

Writes the matrix to an output stream.

Writes the matrix to an output stream in binary format. The number of rows (integer) and the number of columns (integer) are written, and matrix elements are then written in the same order as in memory (e.g. row-major storage).

Parameters:

FileStream

output stream.

Definition at line 880 of file Matrix_Triangular.cxx.

template<class T , class Prop , class Storage , class Allocator >

void Seldon::Matrix_Triangular< T, Prop, Storage, Allocator >::Write ( string FileName ) const

Writes the matrix in a file.

Stores the matrix in a file in binary format. The number of rows (integer) and the number of columns (integer) are written, and matrix elements are then written in the same order as in memory (e.g. row-major storage).

Parameters:

FileName

output file name.

Definition at line 852 of file Matrix_Triangular.cxx.

template<class T , class Prop , class Storage , class Allocator >

void Seldon::Matrix_Triangular< T, Prop, Storage, Allocator >::WriteText ( string FileName ) const

Writes the matrix in a file.

Stores the matrix in a file in text format. Only matrix elements are written (not dimensions). Each row is written on a single line and elements of a row are delimited by tabulations.

Parameters:

FileName

output file name.

Definition at line 920 of file Matrix_Triangular.cxx.

template<class T , class Prop , class Storage , class Allocator >

void Seldon::Matrix_Triangular< T, Prop, Storage, Allocator >::WriteText ( ostream & FileStream ) const

Writes the matrix to an output stream.

Writes the matrix to an output stream in text format. Only matrix elements are written (not dimensions). Each row is written on a single line and elements of a row are delimited by tabulations.

Parameters:

FileStream

output stream.

Definition at line 950 of file Matrix_Triangular.cxx.

template<class T , class Prop , class Storage , class Allocator >

void Seldon::Matrix_Triangular< T, Prop, Storage, Allocator >::Zero ( )

Sets all elements to zero.

Warning:: It fills the memory with zeros. If the matrix stores complex structures, use 'Fill' instead.

Definition at line 703 of file Matrix_Triangular.cxx.

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

matrix/Matrix_Triangular.hxx
matrix/Matrix_Triangular.cxx

All Classes Namespaces Files Functions Variables Typedefs

Seldon::Matrix_Triangular< T, Prop, Storage, Allocator > Class Template Reference

Public Types

Public Member Functions

Protected Attributes

Static Protected Attributes

Detailed Description

template<class T, class Prop, class Storage, class Allocator = SELDON_DEFAULT_ALLOCATOR<T>> class Seldon::Matrix_Triangular< T, Prop, Storage, Allocator >

Constructor & Destructor Documentation

Member Function Documentation

template<class T, class Prop, class Storage, class Allocator = SELDON_DEFAULT_ALLOCATOR<T>>
class Seldon::Matrix_Triangular< T, Prop, Storage, Allocator >