Public Types | Public Member Functions | Protected Attributes | Private Types
Transpositions< SizeAtCompileTime, MaxSizeAtCompileTime, IndexType > Class Template Reference

Represents a sequence of transpositions (row/column interchange) More...

#include <Transpositions.h>

Inheritance diagram for Transpositions< SizeAtCompileTime, MaxSizeAtCompileTime, IndexType >:
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List of all members.

Public Types

typedef TranspositionsBase
< Transpositions > 		Base
typedef IndicesType::Scalar Index
typedef Traits::IndicesType IndicesType

Public Member Functions

const IndicesType & indices () const
IndicesType & indices ()
template<typename OtherDerived >
Transpositions & operator= (const TranspositionsBase< OtherDerived > &other)
Transpositions & operator= (const Transpositions &other)
 Transpositions ()
template<typename OtherDerived >
 Transpositions (const TranspositionsBase< OtherDerived > &other)
 Transpositions (const Transpositions &other)
template<typename Other >
 Transpositions (const MatrixBase< Other > &indices)
 Transpositions (Index size)

Protected Attributes

IndicesType m_indices

Private Types

typedef internal::traits
< Transpositions > 		Traits

Detailed Description

template<int SizeAtCompileTime, int MaxSizeAtCompileTime, typename IndexType>
class Transpositions< SizeAtCompileTime, MaxSizeAtCompileTime, IndexType >

Represents a sequence of transpositions (row/column interchange)

Parameters:
SizeAtCompileTimethe number of transpositions, or Dynamic
MaxSizeAtCompileTimethe maximum number of transpositions, or Dynamic. This optional parameter defaults to SizeAtCompileTime. Most of the time, you should not have to specify it.

This class represents a permutation transformation as a sequence of n transpositions $[T_{n-1} \ldots T_{i} \ldots T_{0}]$. It is internally stored as a vector of integers indices. Each transposition $ T_{i} $ applied on the left of a matrix ( $ T_{i} M$) interchanges the rows i and indices[i] of the matrix M. A transposition applied on the right (e.g., $ M T_{i}$) yields a column interchange.

Compared to the class PermutationMatrix, such a sequence of transpositions is what is computed during a decomposition with pivoting, and it is faster when applying the permutation in-place.

To apply a sequence of transpositions to a matrix, simply use the operator * as in the following example: 

 Transpositions tr;
 MatrixXf mat;
 mat = tr * mat;

In this example, we detect that the matrix appears on both side, and so the transpositions are applied in-place without any temporary or extra copy.

See also:
class PermutationMatrix

Definition at line 169 of file Transpositions.h.

Member Typedef Documentation

template<int SizeAtCompileTime, int MaxSizeAtCompileTime, typename IndexType>
typedef TranspositionsBase<Transpositions> Transpositions< SizeAtCompileTime, MaxSizeAtCompileTime, IndexType >::Base

Definition at line 174 of file Transpositions.h.

template<int SizeAtCompileTime, int MaxSizeAtCompileTime, typename IndexType>
typedef IndicesType::Scalar Transpositions< SizeAtCompileTime, MaxSizeAtCompileTime, IndexType >::Index

Reimplemented from TranspositionsBase< Transpositions< SizeAtCompileTime, MaxSizeAtCompileTime, IndexType > >.

Definition at line 176 of file Transpositions.h.

template<int SizeAtCompileTime, int MaxSizeAtCompileTime, typename IndexType>
typedef Traits::IndicesType Transpositions< SizeAtCompileTime, MaxSizeAtCompileTime, IndexType >::IndicesType

Reimplemented from TranspositionsBase< Transpositions< SizeAtCompileTime, MaxSizeAtCompileTime, IndexType > >.

Definition at line 175 of file Transpositions.h.

template<int SizeAtCompileTime, int MaxSizeAtCompileTime, typename IndexType>
typedef internal::traits<Transpositions> Transpositions< SizeAtCompileTime, MaxSizeAtCompileTime, IndexType >::Traits [private]

Reimplemented from TranspositionsBase< Transpositions< SizeAtCompileTime, MaxSizeAtCompileTime, IndexType > >.

Definition at line 171 of file Transpositions.h.

Constructor & Destructor Documentation

template<int SizeAtCompileTime, int MaxSizeAtCompileTime, typename IndexType>
Transpositions< SizeAtCompileTime, MaxSizeAtCompileTime, IndexType >::Transpositions ( ) [inline]

Definition at line 178 of file Transpositions.h.

template<int SizeAtCompileTime, int MaxSizeAtCompileTime, typename IndexType>
template<typename OtherDerived >
Transpositions< SizeAtCompileTime, MaxSizeAtCompileTime, IndexType >::Transpositions ( const TranspositionsBase< OtherDerived > &  other) [inline]

Copy constructor.

Definition at line 182 of file Transpositions.h.

template<int SizeAtCompileTime, int MaxSizeAtCompileTime, typename IndexType>
Transpositions< SizeAtCompileTime, MaxSizeAtCompileTime, IndexType >::Transpositions ( const Transpositions< SizeAtCompileTime, MaxSizeAtCompileTime, IndexType > &  other) [inline]

Standard copy constructor. Defined only to prevent a default copy constructor from hiding the other templated constructor

Definition at line 188 of file Transpositions.h.

template<int SizeAtCompileTime, int MaxSizeAtCompileTime, typename IndexType>
template<typename Other >
Transpositions< SizeAtCompileTime, MaxSizeAtCompileTime, IndexType >::Transpositions ( const MatrixBase< Other > &  indices) [inline, explicit]

Generic constructor from expression of the transposition indices.

Definition at line 193 of file Transpositions.h.

template<int SizeAtCompileTime, int MaxSizeAtCompileTime, typename IndexType>
Transpositions< SizeAtCompileTime, MaxSizeAtCompileTime, IndexType >::Transpositions ( Index  size) [inline]

Constructs an uninitialized permutation matrix of given size.

Definition at line 216 of file Transpositions.h.

Member Function Documentation

template<int SizeAtCompileTime, int MaxSizeAtCompileTime, typename IndexType>
const IndicesType& Transpositions< SizeAtCompileTime, MaxSizeAtCompileTime, IndexType >::indices ( ) const [inline]

const version of indices().

Reimplemented from TranspositionsBase< Transpositions< SizeAtCompileTime, MaxSizeAtCompileTime, IndexType > >.

Definition at line 220 of file Transpositions.h.

template<int SizeAtCompileTime, int MaxSizeAtCompileTime, typename IndexType>
IndicesType& Transpositions< SizeAtCompileTime, MaxSizeAtCompileTime, IndexType >::indices ( ) [inline]
Returns:
a reference to the stored array representing the transpositions.

Reimplemented from TranspositionsBase< Transpositions< SizeAtCompileTime, MaxSizeAtCompileTime, IndexType > >.

Definition at line 222 of file Transpositions.h.

template<int SizeAtCompileTime, int MaxSizeAtCompileTime, typename IndexType>
template<typename OtherDerived >
Transpositions& Transpositions< SizeAtCompileTime, MaxSizeAtCompileTime, IndexType >::operator= ( const TranspositionsBase< OtherDerived > &  other) [inline]

Copies the other transpositions into *this

Reimplemented from TranspositionsBase< Transpositions< SizeAtCompileTime, MaxSizeAtCompileTime, IndexType > >.

Definition at line 198 of file Transpositions.h.

template<int SizeAtCompileTime, int MaxSizeAtCompileTime, typename IndexType>
Transpositions& Transpositions< SizeAtCompileTime, MaxSizeAtCompileTime, IndexType >::operator= ( const Transpositions< SizeAtCompileTime, MaxSizeAtCompileTime, IndexType > &  other) [inline]

This is a special case of the templated operator=. Its purpose is to prevent a default operator= from hiding the templated operator=.

Definition at line 207 of file Transpositions.h.

Member Data Documentation

template<int SizeAtCompileTime, int MaxSizeAtCompileTime, typename IndexType>
IndicesType Transpositions< SizeAtCompileTime, MaxSizeAtCompileTime, IndexType >::m_indices [protected]

Definition at line 226 of file Transpositions.h.

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

re_vision
Author(s): Dorian Galvez-Lopez
autogenerated on Sun Jan 5 2014 11:34:26