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Eigen::PermutationBase< Derived > Class Template Reference

Base class for permutations. More...

#include <PermutationMatrix.h>

Inheritance diagram for Eigen::PermutationBase< Derived >:
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List of all members.

Public Types

enum  {
  Flags = Traits::Flags, CoeffReadCost = Traits::CoeffReadCost, RowsAtCompileTime = Traits::RowsAtCompileTime, ColsAtCompileTime = Traits::ColsAtCompileTime,
  MaxRowsAtCompileTime = Traits::MaxRowsAtCompileTime, MaxColsAtCompileTime = Traits::MaxColsAtCompileTime
}
typedef Matrix< Scalar,
RowsAtCompileTime,
ColsAtCompileTime,
0, MaxRowsAtCompileTime,
MaxColsAtCompileTime > 		DenseMatrixType
typedef Traits::Index Index
typedef Traits::IndicesType IndicesType
typedef PermutationMatrix
< IndicesType::SizeAtCompileTime,
IndicesType::MaxSizeAtCompileTime,
Index > 		PlainPermutationType
typedef Traits::Scalar Scalar

Public Member Functions

Derived & applyTranspositionOnTheLeft (Index i, Index j)
Derived & applyTranspositionOnTheRight (Index i, Index j)
Index cols () const
Index determinant () const
template<typename DenseDerived >
void evalTo (MatrixBase< DenseDerived > &other) const
const IndicesType & indices () const
IndicesType & indices ()
Transpose< PermutationBase > inverse () const
template<typename Other >
PlainPermutationType operator* (const PermutationBase< Other > &other) const
template<typename Other >
PlainPermutationType operator* (const Transpose< PermutationBase< Other > > &other) const
template<typename OtherDerived >
Derived & operator= (const PermutationBase< OtherDerived > &other)
template<typename OtherDerived >
Derived & operator= (const TranspositionsBase< OtherDerived > &tr)
Derived & operator= (const PermutationBase &other)
void resize (Index newSize)
Index rows () const
void setIdentity ()
void setIdentity (Index newSize)
Index size () const
DenseMatrixType toDenseMatrix () const
Transpose< PermutationBase > transpose () const

Protected Member Functions

template<typename Lhs , typename Rhs >
void assignProduct (const Lhs &lhs, const Rhs &rhs)
template<typename OtherDerived >
void assignTranspose (const PermutationBase< OtherDerived > &other)

Private Types

typedef EigenBase< Derived > Base
typedef internal::traits< Derived > Traits

Friends

template<typename Other >
PlainPermutationType operator* (const Transpose< PermutationBase< Other > > &other, const PermutationBase &perm)

Detailed Description

template<typename Derived>
class Eigen::PermutationBase< Derived >

Base class for permutations.

Parameters:
Derivedthe derived class

This class is the base class for all expressions representing a permutation matrix, internally stored as a vector of integers. The convention followed here is that if $ \sigma $ is a permutation, the corresponding permutation matrix $ P_\sigma $ is such that if $ (e_1,\ldots,e_p) $ is the canonical basis, we have:

\[ P_\sigma(e_i) = e_{\sigma(i)}. \]

This convention ensures that for any two permutations $ \sigma, \tau $, we have:

\[ P_{\sigma\circ\tau} = P_\sigma P_\tau. \]

Permutation matrices are square and invertible.

Notice that in addition to the member functions and operators listed here, there also are non-member operator* to multiply any kind of permutation object with any kind of matrix expression (MatrixBase) on either side.

See also:
class PermutationMatrix, class PermutationWrapper

Definition at line 53 of file PermutationMatrix.h.

Member Typedef Documentation

template<typename Derived>
typedef EigenBase<Derived> Eigen::PermutationBase< Derived >::Base [private]

Reimplemented in Eigen::PermutationWrapper< _IndicesType >, Eigen::Map< PermutationMatrix< SizeAtCompileTime, MaxSizeAtCompileTime, IndexType >, _PacketAccess >, Eigen::PermutationMatrix< SizeAtCompileTime, MaxSizeAtCompileTime, IndexType >, Eigen::PermutationMatrix< Dynamic, Dynamic, Index >, Eigen::PermutationMatrix< ColsAtCompileTime, MaxColsAtCompileTime >, and Eigen::PermutationMatrix< RowsAtCompileTime, MaxRowsAtCompileTime >.

Definition at line 56 of file PermutationMatrix.h.

template<typename Derived>
typedef Matrix<Scalar,RowsAtCompileTime,ColsAtCompileTime,0,MaxRowsAtCompileTime,MaxColsAtCompileTime> Eigen::PermutationBase< Derived >::DenseMatrixType

Definition at line 72 of file PermutationMatrix.h.

template<typename Derived>
typedef Traits::Index Eigen::PermutationBase< Derived >::Index

Reimplemented from Eigen::EigenBase< Derived >.

Reimplemented in Eigen::Map< PermutationMatrix< SizeAtCompileTime, MaxSizeAtCompileTime, IndexType >, _PacketAccess >.

Definition at line 70 of file PermutationMatrix.h.

template<typename Derived>
typedef Traits::IndicesType Eigen::PermutationBase< Derived >::IndicesType

Reimplemented in Eigen::PermutationWrapper< _IndicesType >, Eigen::Map< PermutationMatrix< SizeAtCompileTime, MaxSizeAtCompileTime, IndexType >, _PacketAccess >, Eigen::PermutationMatrix< SizeAtCompileTime, MaxSizeAtCompileTime, IndexType >, Eigen::PermutationMatrix< Dynamic, Dynamic, Index >, Eigen::PermutationMatrix< ColsAtCompileTime, MaxColsAtCompileTime >, and Eigen::PermutationMatrix< RowsAtCompileTime, MaxRowsAtCompileTime >.

Definition at line 60 of file PermutationMatrix.h.

template<typename Derived>
typedef PermutationMatrix<IndicesType::SizeAtCompileTime,IndicesType::MaxSizeAtCompileTime,Index> Eigen::PermutationBase< Derived >::PlainPermutationType

Definition at line 74 of file PermutationMatrix.h.

template<typename Derived>
typedef Traits::Scalar Eigen::PermutationBase< Derived >::Scalar

Definition at line 69 of file PermutationMatrix.h.

template<typename Derived>
typedef internal::traits<Derived> Eigen::PermutationBase< Derived >::Traits [private]

Reimplemented in Eigen::PermutationWrapper< _IndicesType >, Eigen::Map< PermutationMatrix< SizeAtCompileTime, MaxSizeAtCompileTime, IndexType >, _PacketAccess >, Eigen::PermutationMatrix< SizeAtCompileTime, MaxSizeAtCompileTime, IndexType >, Eigen::PermutationMatrix< Dynamic, Dynamic, Index >, Eigen::PermutationMatrix< ColsAtCompileTime, MaxColsAtCompileTime >, and Eigen::PermutationMatrix< RowsAtCompileTime, MaxRowsAtCompileTime >.

Definition at line 55 of file PermutationMatrix.h.

Member Enumeration Documentation

template<typename Derived>
anonymous enum
Enumerator:
Flags 
CoeffReadCost 
RowsAtCompileTime 
ColsAtCompileTime 
MaxRowsAtCompileTime 
MaxColsAtCompileTime 

Definition at line 61 of file PermutationMatrix.h.

Member Function Documentation

template<typename Derived>
Derived& Eigen::PermutationBase< Derived >::applyTranspositionOnTheLeft ( Index  i,
Index  j 
) [inline]

Multiplies *this by the transposition $(ij)$ on the left.

Returns:
a reference to *this.
Warning:
This is much slower than applyTranspositionOnTheRight(int,int): this has linear complexity and requires a lot of branching.
See also:
applyTranspositionOnTheRight(int,int)

Definition at line 171 of file PermutationMatrix.h.

template<typename Derived>
Derived& Eigen::PermutationBase< Derived >::applyTranspositionOnTheRight ( Index  i,
Index  j 
) [inline]

Multiplies *this by the transposition $(ij)$ on the right.

Returns:
a reference to *this.

This is a fast operation, it only consists in swapping two indices.

See also:
applyTranspositionOnTheLeft(int,int)

Definition at line 190 of file PermutationMatrix.h.

template<typename Derived>
template<typename Lhs , typename Rhs >
void Eigen::PermutationBase< Derived >::assignProduct ( const Lhs &  lhs,
const Rhs &  rhs 
) [inline, protected]

Definition at line 221 of file PermutationMatrix.h.

template<typename Derived>
template<typename OtherDerived >
void Eigen::PermutationBase< Derived >::assignTranspose ( const PermutationBase< OtherDerived > &  other) [inline, protected]

Definition at line 216 of file PermutationMatrix.h.

template<typename Derived>
Index Eigen::PermutationBase< Derived >::cols ( void  ) const [inline]
Returns:
the number of columns

Reimplemented from Eigen::EigenBase< Derived >.

Definition at line 111 of file PermutationMatrix.h.

template<typename Derived>
Index Eigen::PermutationBase< Derived >::determinant ( ) const [inline]
Returns:
the determinant of the permutation matrix, which is either 1 or -1 depending on the parity of the permutation.

This function is O(n) procedure allocating a buffer of n booleans.

Definition at line 258 of file PermutationMatrix.h.

template<typename Derived>
template<typename DenseDerived >
void Eigen::PermutationBase< Derived >::evalTo ( MatrixBase< DenseDerived > &  other) const [inline]

Definition at line 118 of file PermutationMatrix.h.

template<typename Derived>
const IndicesType& Eigen::PermutationBase< Derived >::indices ( ) const [inline]

const version of indices().

Reimplemented in Eigen::PermutationWrapper< _IndicesType >, Eigen::Map< PermutationMatrix< SizeAtCompileTime, MaxSizeAtCompileTime, IndexType >, _PacketAccess >, Eigen::PermutationMatrix< SizeAtCompileTime, MaxSizeAtCompileTime, IndexType >, Eigen::PermutationMatrix< Dynamic, Dynamic, Index >, Eigen::PermutationMatrix< ColsAtCompileTime, MaxColsAtCompileTime >, and Eigen::PermutationMatrix< RowsAtCompileTime, MaxRowsAtCompileTime >.

Definition at line 136 of file PermutationMatrix.h.

template<typename Derived>
IndicesType& Eigen::PermutationBase< Derived >::indices ( ) [inline]
Returns:
a reference to the stored array representing the permutation.

Reimplemented in Eigen::Map< PermutationMatrix< SizeAtCompileTime, MaxSizeAtCompileTime, IndexType >, _PacketAccess >, Eigen::PermutationMatrix< SizeAtCompileTime, MaxSizeAtCompileTime, IndexType >, Eigen::PermutationMatrix< Dynamic, Dynamic, Index >, Eigen::PermutationMatrix< ColsAtCompileTime, MaxColsAtCompileTime >, and Eigen::PermutationMatrix< RowsAtCompileTime, MaxRowsAtCompileTime >.

Definition at line 138 of file PermutationMatrix.h.

template<typename Derived>
Transpose<PermutationBase> Eigen::PermutationBase< Derived >::inverse ( ) const [inline]
Returns:
the inverse permutation matrix.
Note:

Definition at line 201 of file PermutationMatrix.h.

template<typename Derived>
template<typename Other >
PlainPermutationType Eigen::PermutationBase< Derived >::operator* ( const PermutationBase< Other > &  other) const [inline]
Returns:
the product permutation matrix.
Note:

Definition at line 235 of file PermutationMatrix.h.

template<typename Derived>
template<typename Other >
PlainPermutationType Eigen::PermutationBase< Derived >::operator* ( const Transpose< PermutationBase< Other > > &  other) const [inline]
Returns:
the product of a permutation with another inverse permutation.
Note:

Definition at line 243 of file PermutationMatrix.h.

template<typename Derived>
template<typename OtherDerived >
Derived& Eigen::PermutationBase< Derived >::operator= ( const PermutationBase< OtherDerived > &  other) [inline]

Copies the other permutation into *this

Definition at line 80 of file PermutationMatrix.h.

template<typename Derived>
template<typename OtherDerived >
Derived& Eigen::PermutationBase< Derived >::operator= ( const TranspositionsBase< OtherDerived > &  tr) [inline]

Assignment from the Transpositions tr

Definition at line 88 of file PermutationMatrix.h.

template<typename Derived>
Derived& Eigen::PermutationBase< Derived >::operator= ( const PermutationBase< Derived > &  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 100 of file PermutationMatrix.h.

template<typename Derived>
void Eigen::PermutationBase< Derived >::resize ( Index  newSize) [inline]

Resizes to given size.

Definition at line 142 of file PermutationMatrix.h.

template<typename Derived>
Index Eigen::PermutationBase< Derived >::rows ( void  ) const [inline]
Returns:
the number of rows

Reimplemented from Eigen::EigenBase< Derived >.

Definition at line 108 of file PermutationMatrix.h.

template<typename Derived>
void Eigen::PermutationBase< Derived >::setIdentity ( ) [inline]

Sets *this to be the identity permutation matrix

Definition at line 148 of file PermutationMatrix.h.

template<typename Derived>
void Eigen::PermutationBase< Derived >::setIdentity ( Index  newSize) [inline]

Sets *this to be the identity permutation matrix of given size.

Definition at line 156 of file PermutationMatrix.h.

template<typename Derived>
Index Eigen::PermutationBase< Derived >::size ( ) const [inline]
Returns:
the size of a side of the respective square matrix, i.e., the number of indices

Reimplemented from Eigen::EigenBase< Derived >.

Definition at line 114 of file PermutationMatrix.h.

template<typename Derived>
DenseMatrixType Eigen::PermutationBase< Derived >::toDenseMatrix ( ) const [inline]
Returns:
a Matrix object initialized from this permutation matrix. Notice that it is inefficient to return this Matrix object by value. For efficiency, favor using the Matrix constructor taking EigenBase objects.

Definition at line 130 of file PermutationMatrix.h.

template<typename Derived>
Transpose<PermutationBase> Eigen::PermutationBase< Derived >::transpose ( ) const [inline]
Returns:
the tranpose permutation matrix.
Note:

Definition at line 207 of file PermutationMatrix.h.

Friends And Related Function Documentation

template<typename Derived>
template<typename Other >
PlainPermutationType operator* ( const Transpose< PermutationBase< Other > > &  other,
const PermutationBase< Derived > &  perm 
) [friend]
Returns:
the product of an inverse permutation with another permutation.
Note:

Definition at line 251 of file PermutationMatrix.h.

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

turtlebot_exploration_3d
Author(s): Bona , Shawn
autogenerated on Thu Jun 6 2019 21:00:54