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

Hermitian matrix stored in a full matrix. More...

#include <Matrix_Hermitian.hxx>

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

List of all members.

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_Hermitian ()
 Default constructor.
 Matrix_Hermitian (int i, int j=0)
 Main constructor.
 Matrix_Hermitian (const Matrix_Hermitian< T, Prop, Storage, Allocator > &A)
 Copy constructor.
 ~Matrix_Hermitian ()
 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 SetData (int i, int j, pointer data)
void Nullify ()
 Clears the matrix without releasing memory.
void Resize (int i, int j)
 Reallocates memory to resize the matrix and keeps previous entries.
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.
const_reference Get (int i, int j) const
 Returns the element (i, j).
reference Get (int i, int j)
 Returns the element (i, j).
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_Hermitian< T, Prop,
Storage, Allocator > & 
operator= (const Matrix_Hermitian< T, Prop, Storage, Allocator > &A)
 Duplicates a matrix (assignement operator).
void Set (int i, int j, const T &x)
 Sets an element of the matrix.
void Copy (const Matrix_Hermitian< 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 a matrix with a given value.
template<class T0 >
Matrix_Hermitian< T, Prop,
Storage, Allocator > & 
operator= (const T0 &x)
 Fills a 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_Hermitian< T, Prop, Storage, Allocator >

Hermitian matrix stored in a full matrix.

Definition at line 38 of file Matrix_Hermitian.hxx.


Constructor & Destructor Documentation

template<class T , class Prop , class Storage , class Allocator >
Seldon::Matrix_Hermitian< T, Prop, Storage, Allocator >::Matrix_Hermitian (  )  [inline]

Default constructor.

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

Definition at line 37 of file Matrix_Hermitian.cxx.

template<class T , class Prop , class Storage , class Allocator >
Seldon::Matrix_Hermitian< T, Prop, Storage, Allocator >::Matrix_Hermitian ( int  i,
int  j = 0 
) [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_Hermitian.cxx.


Member Function Documentation

template<class T , class Prop , class Storage , class Allocator >
void Seldon::Matrix_Hermitian< 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_Hermitian.cxx.

template<class T, class Prop, class Storage, class Allocator>
void Seldon::Matrix_Hermitian< T, Prop, Storage, Allocator >::Copy ( const Matrix_Hermitian< 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 723 of file Matrix_Hermitian.cxx.

template<class T , class Prop , class Storage , class Allocator >
void Seldon::Matrix_Hermitian< 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 772 of file Matrix_Hermitian.cxx.

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

Fills a matrix with a given value.

Parameters:
x the value to fill the matrix with.
Note:
If the imaginary part of x is non-null, the upper part will contain x, whereas lower part will contain conj(x).

Definition at line 787 of file Matrix_Hermitian.cxx.

template<class T , class Prop , class Storage , class Allocator >
void Seldon::Matrix_Hermitian< T, Prop, Storage, Allocator >::FillRand (  ) 

Fills the matrix randomly.

Note:
The random generator is very basic.

Definition at line 816 of file Matrix_Hermitian.cxx.

template<class T , class Prop , class Storage , class Allocator >
Matrix_Hermitian< T, Prop, Storage, Allocator >::const_reference Seldon::Matrix_Hermitian< T, Prop, Storage, Allocator >::Get ( int  i,
int  j 
) const [inline]

Returns the element (i, j).

Returns the value of element (i, j).

Parameters:
i row index.
j column index.
Returns:
Element (i, j) of the matrix.

Definition at line 577 of file Matrix_Hermitian.cxx.

template<class T , class Prop , class Storage , class Allocator >
Matrix_Hermitian< T, Prop, Storage, Allocator >::reference Seldon::Matrix_Hermitian< T, Prop, Storage, Allocator >::Get ( int  i,
int  j 
) [inline]

Returns the element (i, j).

Returns the value of element (i, j).

Parameters:
i row index.
j column index.
Returns:
Element (i, j) of the matrix.

Definition at line 610 of file Matrix_Hermitian.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 258 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 208 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 221 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 247 of file Matrix_Base.cxx.

template<class T , class Prop , class Storage , class Allocator >
int Seldon::Matrix_Hermitian< 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_Hermitian.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 234 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 130 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 145 of file Matrix_Base.cxx.

template<class T , class Allocator >
int Seldon::Matrix_Base< T, Allocator >::GetSize (  )  const [inherited]
template<class T , class Prop , class Storage , class Allocator >
void Seldon::Matrix_Hermitian< 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 401 of file Matrix_Hermitian.cxx.

template<class T , class Prop , class Storage , class Allocator >
Matrix_Hermitian< T, Prop, Storage, Allocator >::value_type Seldon::Matrix_Hermitian< 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 479 of file Matrix_Hermitian.cxx.

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

Fills a matrix with a given value.

Parameters:
x the value to fill the matrix with.
Note:
If the imaginary part of x is non-null, the upper part will contain x, whereas lower part will contain conj(x).

Reimplemented in Seldon::Matrix< T, Prop, ColHerm, Allocator >, and Seldon::Matrix< T, Prop, RowHerm, Allocator >.

Definition at line 803 of file Matrix_Hermitian.cxx.

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

Duplicates a matrix (assignement 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 707 of file Matrix_Hermitian.cxx.

template<class T , class Prop , class Storage , class Allocator >
Matrix_Hermitian< T, Prop, Storage, Allocator >::reference Seldon::Matrix_Hermitian< 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 642 of file Matrix_Hermitian.cxx.

template<class T , class Prop , class Storage , class Allocator >
Matrix_Hermitian< T, Prop, Storage, Allocator >::const_reference Seldon::Matrix_Hermitian< 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 666 of file Matrix_Hermitian.cxx.

template<class T , class Prop , class Storage , class Allocator >
void Seldon::Matrix_Hermitian< 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 831 of file Matrix_Hermitian.cxx.

template<class T , class Prop , class Storage , class Allocator >
void Seldon::Matrix_Hermitian< 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 856 of file Matrix_Hermitian.cxx.

template<class T , class Prop , class Storage , class Allocator >
void Seldon::Matrix_Hermitian< 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 877 of file Matrix_Hermitian.cxx.

template<class T , class Prop , class Storage , class Allocator >
void Seldon::Matrix_Hermitian< 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 1063 of file Matrix_Hermitian.cxx.

template<class T , class Prop , class Storage , class Allocator >
void Seldon::Matrix_Hermitian< 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 1035 of file Matrix_Hermitian.cxx.

template<class T , class Prop , class Storage , class Allocator >
void Seldon::Matrix_Hermitian< 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 1124 of file Matrix_Hermitian.cxx.

template<class T , class Prop , class Storage , class Allocator >
void Seldon::Matrix_Hermitian< 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 1099 of file Matrix_Hermitian.cxx.

template<class T , class Prop , class Storage , class Allocator >
void Seldon::Matrix_Hermitian< 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_Hermitian.cxx.

template<class T , class Prop , class Storage , class Allocator >
void Seldon::Matrix_Hermitian< 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 j matrix.

Parameters:
i new number of rows.
j new number of columns.
Warning:
The previous entries are kept, extra-entries may not be initialized (depending of the allocator).

Definition at line 441 of file Matrix_Hermitian.cxx.

template<class T, class Prop , class Storage , class Allocator >
void Seldon::Matrix_Hermitian< T, Prop, Storage, Allocator >::Set ( int  i,
int  j,
const T &  x 
) [inline]

Sets an element of the matrix.

Parameters:
i row index.
j column index.
x new value for the matrix element (i, j).

Definition at line 689 of file Matrix_Hermitian.cxx.

template<class T , class Prop , class Storage , class Allocator >
void Seldon::Matrix_Hermitian< T, Prop, Storage, Allocator >::SetIdentity (  ) 

Sets the matrix to the identity.

Warning:
It fills the memory with zeros. If the matrix stores complex structures, discard this method.

Definition at line 755 of file Matrix_Hermitian.cxx.

template<class T , class Prop , class Storage , class Allocator >
Matrix_Hermitian< T, Prop, Storage, Allocator >::const_reference Seldon::Matrix_Hermitian< 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.

Definition at line 510 of file Matrix_Hermitian.cxx.

template<class T , class Prop , class Storage , class Allocator >
Matrix_Hermitian< T, Prop, Storage, Allocator >::reference Seldon::Matrix_Hermitian< 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.

Definition at line 543 of file Matrix_Hermitian.cxx.

template<class T , class Prop , class Storage , class Allocator >
void Seldon::Matrix_Hermitian< 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 898 of file Matrix_Hermitian.cxx.

template<class T , class Prop , class Storage , class Allocator >
void Seldon::Matrix_Hermitian< 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 926 of file Matrix_Hermitian.cxx.

template<class T , class Prop , class Storage , class Allocator >
void Seldon::Matrix_Hermitian< 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 996 of file Matrix_Hermitian.cxx.

template<class T , class Prop , class Storage , class Allocator >
void Seldon::Matrix_Hermitian< 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 966 of file Matrix_Hermitian.cxx.

template<class T , class Prop , class Storage , class Allocator >
void Seldon::Matrix_Hermitian< 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 742 of file Matrix_Hermitian.cxx.


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