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gtsam::SymmetricBlockMatrix Class Reference

#include <SymmetricBlockMatrix.h>

Public Types

typedef Eigen::Block< MatrixBlock
 
typedef Eigen::Block< const MatrixconstBlock
 
typedef SymmetricBlockMatrix This
 

Public Member Functions

DenseIndexblockStart ()
 
DenseIndex blockStart () const
 
void choleskyPartial (DenseIndex nFrontals)
 
DenseIndex cols () const
 Column size. More...
 
DenseIndex getDim (DenseIndex block) const
 Number of dimensions for variable on this diagonal block. More...
 
DenseIndex nBlocks () const
 Block count. More...
 
DenseIndex rows () const
 Row size. More...
 
VerticalBlockMatrix split (DenseIndex nFrontals)
 
 SymmetricBlockMatrix ()
 Construct from an empty matrix (asserts that the matrix is empty) More...
 
template<typename CONTAINER >
 SymmetricBlockMatrix (const CONTAINER &dimensions, bool appendOneDimension=false)
 Construct from a container of the sizes of each block. More...
 
template<typename CONTAINER >
 SymmetricBlockMatrix (const CONTAINER &dimensions, const Matrix &matrix, bool appendOneDimension=false)
 Construct from a container of the sizes of each vertical block and a pre-prepared matrix. More...
 
template<typename ITERATOR >
 SymmetricBlockMatrix (ITERATOR firstBlockDim, ITERATOR lastBlockDim, bool appendOneDimension=false)
 Construct from iterator over the sizes of each vertical block. More...
 
Block getter methods.
Matrix block (DenseIndex I, DenseIndex J) const
 
Eigen::SelfAdjointView< Block, Eigen::UpperdiagonalBlock (DenseIndex J)
 Return the J'th diagonal block as a self adjoint view. More...
 
Eigen::SelfAdjointView< constBlock, Eigen::UpperdiagonalBlock (DenseIndex J) const
 Return the J'th diagonal block as a self adjoint view. More...
 
Vector diagonal (DenseIndex J) const
 Get the diagonal of the J'th diagonal block. More...
 
constBlock aboveDiagonalBlock (DenseIndex I, DenseIndex J) const
 Get block above the diagonal (I, J). More...
 
Eigen::SelfAdjointView< constBlock, Eigen::UpperselfadjointView (DenseIndex I, DenseIndex J) const
 Return the square sub-matrix that contains blocks(i:j, i:j). More...
 
Eigen::TriangularView< constBlock, Eigen::UppertriangularView (DenseIndex I, DenseIndex J) const
 Return the square sub-matrix that contains blocks(i:j, i:j) as a triangular view. More...
 
constBlock aboveDiagonalRange (DenseIndex i_startBlock, DenseIndex i_endBlock, DenseIndex j_startBlock, DenseIndex j_endBlock) const
 Get a range [i,j) from the matrix. Indices are in block units. More...
 
Block aboveDiagonalRange (DenseIndex i_startBlock, DenseIndex i_endBlock, DenseIndex j_startBlock, DenseIndex j_endBlock)
 Get a range [i,j) from the matrix. Indices are in block units. More...
 
Block setter methods.
template<typename XprType >
void setDiagonalBlock (DenseIndex I, const XprType &xpr)
 Set a diagonal block. Only the upper triangular portion of xpr is evaluated. More...
 
template<typename XprType >
void setOffDiagonalBlock (DenseIndex I, DenseIndex J, const XprType &xpr)
 Set an off-diagonal block. Only the upper triangular portion of xpr is evaluated. More...
 
template<typename XprType >
void updateDiagonalBlock (DenseIndex I, const XprType &xpr)
 Increment the diagonal block by the values in xpr. Only reads the upper triangular part of xpr. More...
 
template<typename XprType >
void updateOffDiagonalBlock (DenseIndex I, DenseIndex J, const XprType &xpr)
 
Accessing the full matrix.
Eigen::SelfAdjointView< Block, Eigen::UpperselfadjointView ()
 Get self adjoint view. More...
 
Eigen::SelfAdjointView< constBlock, Eigen::UpperselfadjointView () const
 Get self adjoint view. More...
 
template<typename XprType >
void setFullMatrix (const XprType &xpr)
 Set the entire active matrix. Only reads the upper triangular part of xpr. More...
 
void setZero ()
 Set the entire active matrix zero. More...
 
void negate ()
 Negate the entire active matrix. More...
 
void invertInPlace ()
 Invert the entire active matrix in place. More...
 

Static Public Member Functions

static SymmetricBlockMatrix LikeActiveViewOf (const SymmetricBlockMatrix &other)
 
static SymmetricBlockMatrix LikeActiveViewOf (const VerticalBlockMatrix &other)
 

Protected Member Functions

void assertInvariants () const
 
Block block_ (DenseIndex iBlock, DenseIndex jBlock, DenseIndex blockRows=1, DenseIndex blockCols=1)
 Get an arbitrary block from the matrix. Indices are in block units. More...
 
constBlock block_ (DenseIndex iBlock, DenseIndex jBlock, DenseIndex blockRows=1, DenseIndex blockCols=1) const
 Get an arbitrary block from the matrix. Indices are in block units. More...
 
std::array< DenseIndex, 4 > calcIndices (DenseIndex iBlock, DenseIndex jBlock, DenseIndex blockRows, DenseIndex blockCols) const
 Compute the indices into the underlying matrix for a given block. More...
 
template<typename ITERATOR >
void fillOffsets (ITERATOR firstBlockDim, ITERATOR lastBlockDim, bool appendOneDimension)
 
Block full ()
 Get the full matrix as a block. More...
 
constBlock full () const
 Get the full matrix as a block. More...
 
DenseIndex nActualBlocks () const
 Number of actual blocks in the full matrix. More...
 
DenseIndex nOffsets () const
 Number of offsets in the full matrix. More...
 
DenseIndex offset (DenseIndex block) const
 Get an offset for a block index (in the active view). More...
 

Protected Attributes

DenseIndex blockStart_
 Changes apparent matrix view, see main class comment. More...
 
Matrix matrix_
 The full matrix. More...
 
FastVector< DenseIndexvariableColOffsets_
 the starting columns of each block (0-based) More...
 

Friends

template<typename SymmetricBlockMatrixType >
class SymmetricBlockMatrixBlockExpr
 
class VerticalBlockMatrix
 

Detailed Description

This class stores a dense matrix and allows it to be accessed as a collection of blocks. When constructed, the caller must provide the dimensions of the blocks.

The block structure is symmetric, but the underlying matrix does not necessarily need to be.

This class also has a parameter that can be changed after construction to change the apparent matrix view. firstBlock() determines the block that appears to have index 0 for all operations (except re-setting firstBlock()).

Definition at line 53 of file SymmetricBlockMatrix.h.

Member Typedef Documentation

◆ Block

Definition at line 57 of file SymmetricBlockMatrix.h.

◆ constBlock

Definition at line 58 of file SymmetricBlockMatrix.h.

◆ This

Definition at line 56 of file SymmetricBlockMatrix.h.

Constructor & Destructor Documentation

◆ SymmetricBlockMatrix() [1/4]

gtsam::SymmetricBlockMatrix::SymmetricBlockMatrix ( )

Construct from an empty matrix (asserts that the matrix is empty)

Definition at line 28 of file SymmetricBlockMatrix.cpp.

◆ SymmetricBlockMatrix() [2/4]

template<typename CONTAINER >
gtsam::SymmetricBlockMatrix::SymmetricBlockMatrix ( const CONTAINER &  dimensions,
bool  appendOneDimension = false 
)
inline

Construct from a container of the sizes of each block.

Definition at line 72 of file SymmetricBlockMatrix.h.

◆ SymmetricBlockMatrix() [3/4]

template<typename ITERATOR >
gtsam::SymmetricBlockMatrix::SymmetricBlockMatrix ( ITERATOR  firstBlockDim,
ITERATOR  lastBlockDim,
bool  appendOneDimension = false 
)
inline

Construct from iterator over the sizes of each vertical block.

Definition at line 82 of file SymmetricBlockMatrix.h.

◆ SymmetricBlockMatrix() [4/4]

template<typename CONTAINER >
gtsam::SymmetricBlockMatrix::SymmetricBlockMatrix ( const CONTAINER &  dimensions,
const Matrix matrix,
bool  appendOneDimension = false 
)
inline

Construct from a container of the sizes of each vertical block and a pre-prepared matrix.

Definition at line 92 of file SymmetricBlockMatrix.h.

Member Function Documentation

◆ aboveDiagonalBlock()

constBlock gtsam::SymmetricBlockMatrix::aboveDiagonalBlock ( DenseIndex  I,
DenseIndex  J 
) const
inline

Get block above the diagonal (I, J).

Definition at line 152 of file SymmetricBlockMatrix.h.

◆ aboveDiagonalRange() [1/2]

Block gtsam::SymmetricBlockMatrix::aboveDiagonalRange ( DenseIndex  i_startBlock,
DenseIndex  i_endBlock,
DenseIndex  j_startBlock,
DenseIndex  j_endBlock 
)
inline

Get a range [i,j) from the matrix. Indices are in block units.

Definition at line 183 of file SymmetricBlockMatrix.h.

◆ aboveDiagonalRange() [2/2]

constBlock gtsam::SymmetricBlockMatrix::aboveDiagonalRange ( DenseIndex  i_startBlock,
DenseIndex  i_endBlock,
DenseIndex  j_startBlock,
DenseIndex  j_endBlock 
) const
inline

Get a range [i,j) from the matrix. Indices are in block units.

Definition at line 172 of file SymmetricBlockMatrix.h.

◆ assertInvariants()

void gtsam::SymmetricBlockMatrix::assertInvariants ( ) const
inlineprotected

Definition at line 361 of file SymmetricBlockMatrix.h.

◆ block()

Matrix gtsam::SymmetricBlockMatrix::block ( DenseIndex  I,
DenseIndex  J 
) const

Get a copy of a block (anywhere in the matrix). This method makes a copy - use the methods below if performance is critical.

Definition at line 60 of file SymmetricBlockMatrix.cpp.

◆ block_() [1/2]

Block gtsam::SymmetricBlockMatrix::block_ ( DenseIndex  iBlock,
DenseIndex  jBlock,
DenseIndex  blockRows = 1,
DenseIndex  blockCols = 1 
)
inlineprotected

Get an arbitrary block from the matrix. Indices are in block units.

Definition at line 329 of file SymmetricBlockMatrix.h.

◆ block_() [2/2]

constBlock gtsam::SymmetricBlockMatrix::block_ ( DenseIndex  iBlock,
DenseIndex  jBlock,
DenseIndex  blockRows = 1,
DenseIndex  blockCols = 1 
) const
inlineprotected

Get an arbitrary block from the matrix. Indices are in block units.

Definition at line 321 of file SymmetricBlockMatrix.h.

◆ blockStart() [1/2]

DenseIndex& gtsam::SymmetricBlockMatrix::blockStart ( )
inline

Retrieve or modify the first logical block, i.e. the block referenced by block index 0. Blocks before it will be inaccessible, except by accessing the underlying matrix using matrix().

Definition at line 275 of file SymmetricBlockMatrix.h.

◆ blockStart() [2/2]

DenseIndex gtsam::SymmetricBlockMatrix::blockStart ( ) const
inline

Retrieve the first logical block, i.e. the block referenced by block index 0. Blocks before it will be inaccessible, except by accessing the underlying matrix using matrix().

Definition at line 279 of file SymmetricBlockMatrix.h.

◆ calcIndices()

std::array<DenseIndex, 4> gtsam::SymmetricBlockMatrix::calcIndices ( DenseIndex  iBlock,
DenseIndex  jBlock,
DenseIndex  blockRows,
DenseIndex  blockCols 
) const
inlineprotected

Compute the indices into the underlying matrix for a given block.

Definition at line 347 of file SymmetricBlockMatrix.h.

◆ choleskyPartial()

void gtsam::SymmetricBlockMatrix::choleskyPartial ( DenseIndex  nFrontals)

Given the augmented Hessian [A1'A1 A1'A2 A1'b A2'A1 A2'A2 A2'b b'A1 b'A2 b'b] on x1 and x2, does partial Cholesky in-place to obtain [R Sd;0 L] such that R'R = A1'A1 R'Sd = [A1'A2 A1'b] L'L is the augmented Hessian on the the separator x2 R and Sd can be interpreted as a GaussianConditional |R*x1 + S*x2 - d]^2

Definition at line 83 of file SymmetricBlockMatrix.cpp.

◆ cols()

DenseIndex gtsam::SymmetricBlockMatrix::cols ( ) const
inline

Column size.

Definition at line 119 of file SymmetricBlockMatrix.h.

◆ diagonal()

Vector gtsam::SymmetricBlockMatrix::diagonal ( DenseIndex  J) const
inline

Get the diagonal of the J'th diagonal block.

Definition at line 147 of file SymmetricBlockMatrix.h.

◆ diagonalBlock() [1/2]

Eigen::SelfAdjointView<Block, Eigen::Upper> gtsam::SymmetricBlockMatrix::diagonalBlock ( DenseIndex  J)
inline

Return the J'th diagonal block as a self adjoint view.

Definition at line 137 of file SymmetricBlockMatrix.h.

◆ diagonalBlock() [2/2]

Eigen::SelfAdjointView<constBlock, Eigen::Upper> gtsam::SymmetricBlockMatrix::diagonalBlock ( DenseIndex  J) const
inline

Return the J'th diagonal block as a self adjoint view.

Definition at line 142 of file SymmetricBlockMatrix.h.

◆ fillOffsets()

template<typename ITERATOR >
void gtsam::SymmetricBlockMatrix::fillOffsets ( ITERATOR  firstBlockDim,
ITERATOR  lastBlockDim,
bool  appendOneDimension 
)
inlineprotected

Definition at line 369 of file SymmetricBlockMatrix.h.

◆ full() [1/2]

Block gtsam::SymmetricBlockMatrix::full ( )
inlineprotected

Get the full matrix as a block.

Definition at line 342 of file SymmetricBlockMatrix.h.

◆ full() [2/2]

constBlock gtsam::SymmetricBlockMatrix::full ( ) const
inlineprotected

Get the full matrix as a block.

Definition at line 337 of file SymmetricBlockMatrix.h.

◆ getDim()

DenseIndex gtsam::SymmetricBlockMatrix::getDim ( DenseIndex  block) const
inline

Number of dimensions for variable on this diagonal block.

Definition at line 125 of file SymmetricBlockMatrix.h.

◆ invertInPlace()

void gtsam::SymmetricBlockMatrix::invertInPlace ( )

Invert the entire active matrix in place.

Definition at line 76 of file SymmetricBlockMatrix.cpp.

◆ LikeActiveViewOf() [1/2]

SymmetricBlockMatrix gtsam::SymmetricBlockMatrix::LikeActiveViewOf ( const SymmetricBlockMatrix other)
static

Copy the block structure, but do not copy the matrix data. If blockStart() has been modified, this copies the structure of the corresponding matrix view. In the destination SymmetricBlockMatrix, blockStart() will be 0.

Definition at line 34 of file SymmetricBlockMatrix.cpp.

◆ LikeActiveViewOf() [2/2]

SymmetricBlockMatrix gtsam::SymmetricBlockMatrix::LikeActiveViewOf ( const VerticalBlockMatrix other)
static

Copy the block structure, but do not copy the matrix data. If blockStart() has been modified, this copies the structure of the corresponding matrix view. In the destination SymmetricBlockMatrix, blockStart() will be 0.

Definition at line 47 of file SymmetricBlockMatrix.cpp.

◆ nActualBlocks()

DenseIndex gtsam::SymmetricBlockMatrix::nActualBlocks ( ) const
inlineprotected

Number of actual blocks in the full matrix.

Definition at line 308 of file SymmetricBlockMatrix.h.

◆ nBlocks()

DenseIndex gtsam::SymmetricBlockMatrix::nBlocks ( ) const
inline

Block count.

Definition at line 122 of file SymmetricBlockMatrix.h.

◆ negate()

void gtsam::SymmetricBlockMatrix::negate ( )

Negate the entire active matrix.

Definition at line 71 of file SymmetricBlockMatrix.cpp.

◆ nOffsets()

DenseIndex gtsam::SymmetricBlockMatrix::nOffsets ( ) const
inlineprotected

Number of offsets in the full matrix.

Definition at line 303 of file SymmetricBlockMatrix.h.

◆ offset()

DenseIndex gtsam::SymmetricBlockMatrix::offset ( DenseIndex  block) const
inlineprotected

Get an offset for a block index (in the active view).

Definition at line 313 of file SymmetricBlockMatrix.h.

◆ rows()

DenseIndex gtsam::SymmetricBlockMatrix::rows ( ) const
inline

Row size.

Definition at line 116 of file SymmetricBlockMatrix.h.

◆ selfadjointView() [1/3]

Eigen::SelfAdjointView<Block, Eigen::Upper> gtsam::SymmetricBlockMatrix::selfadjointView ( )
inline

Get self adjoint view.

Definition at line 244 of file SymmetricBlockMatrix.h.

◆ selfadjointView() [2/3]

Eigen::SelfAdjointView<constBlock, Eigen::Upper> gtsam::SymmetricBlockMatrix::selfadjointView ( ) const
inline

Get self adjoint view.

Definition at line 249 of file SymmetricBlockMatrix.h.

◆ selfadjointView() [3/3]

Eigen::SelfAdjointView<constBlock, Eigen::Upper> gtsam::SymmetricBlockMatrix::selfadjointView ( DenseIndex  I,
DenseIndex  J 
) const
inline

Return the square sub-matrix that contains blocks(i:j, i:j).

Definition at line 158 of file SymmetricBlockMatrix.h.

◆ setDiagonalBlock()

template<typename XprType >
void gtsam::SymmetricBlockMatrix::setDiagonalBlock ( DenseIndex  I,
const XprType xpr 
)
inline

Set a diagonal block. Only the upper triangular portion of xpr is evaluated.

Definition at line 197 of file SymmetricBlockMatrix.h.

◆ setFullMatrix()

template<typename XprType >
void gtsam::SymmetricBlockMatrix::setFullMatrix ( const XprType xpr)
inline

Set the entire active matrix. Only reads the upper triangular part of xpr.

Definition at line 255 of file SymmetricBlockMatrix.h.

◆ setOffDiagonalBlock()

template<typename XprType >
void gtsam::SymmetricBlockMatrix::setOffDiagonalBlock ( DenseIndex  I,
DenseIndex  J,
const XprType xpr 
)
inline

Set an off-diagonal block. Only the upper triangular portion of xpr is evaluated.

Definition at line 203 of file SymmetricBlockMatrix.h.

◆ setZero()

void gtsam::SymmetricBlockMatrix::setZero ( )
inline

Set the entire active matrix zero.

Definition at line 260 of file SymmetricBlockMatrix.h.

◆ split()

VerticalBlockMatrix gtsam::SymmetricBlockMatrix::split ( DenseIndex  nFrontals)

After partial Cholesky, we can optionally split off R and Sd, to be interpreted as a GaussianConditional |R*x1 + S*x2 - d]^2. We leave the symmetric lower block L in place, and adjust block_start so now *this refers to it.

Definition at line 92 of file SymmetricBlockMatrix.cpp.

◆ triangularView()

Eigen::TriangularView<constBlock, Eigen::Upper> gtsam::SymmetricBlockMatrix::triangularView ( DenseIndex  I,
DenseIndex  J 
) const
inline

Return the square sub-matrix that contains blocks(i:j, i:j) as a triangular view.

Definition at line 165 of file SymmetricBlockMatrix.h.

◆ updateDiagonalBlock()

template<typename XprType >
void gtsam::SymmetricBlockMatrix::updateDiagonalBlock ( DenseIndex  I,
const XprType xpr 
)
inline

Increment the diagonal block by the values in xpr. Only reads the upper triangular part of xpr.

Definition at line 214 of file SymmetricBlockMatrix.h.

◆ updateOffDiagonalBlock()

template<typename XprType >
void gtsam::SymmetricBlockMatrix::updateOffDiagonalBlock ( DenseIndex  I,
DenseIndex  J,
const XprType xpr 
)
inline

Update an off diagonal block. NOTE(emmett): This assumes noalias().

Definition at line 230 of file SymmetricBlockMatrix.h.

Friends And Related Function Documentation

◆ SymmetricBlockMatrixBlockExpr

template<typename SymmetricBlockMatrixType >
friend class SymmetricBlockMatrixBlockExpr
friend

Definition at line 386 of file SymmetricBlockMatrix.h.

◆ VerticalBlockMatrix

friend class VerticalBlockMatrix
friend

Definition at line 385 of file SymmetricBlockMatrix.h.

Member Data Documentation

◆ blockStart_

DenseIndex gtsam::SymmetricBlockMatrix::blockStart_
protected

Changes apparent matrix view, see main class comment.

Definition at line 64 of file SymmetricBlockMatrix.h.

◆ matrix_

Matrix gtsam::SymmetricBlockMatrix::matrix_
protected

The full matrix.

Definition at line 61 of file SymmetricBlockMatrix.h.

◆ variableColOffsets_

FastVector<DenseIndex> gtsam::SymmetricBlockMatrix::variableColOffsets_
protected

the starting columns of each block (0-based)

Definition at line 62 of file SymmetricBlockMatrix.h.


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


gtsam
Author(s):
autogenerated on Fri Nov 1 2024 03:52:50