#include <ISAM2.h>

Inheritance diagram for gtsam::ISAM2:

Public Types
using	Base = BayesTree< ISAM2Clique >
	The BayesTree base class. More...

using	Clique = Base::Clique
	A clique. More...

using	Cliques = Base::Cliques
	List of Cliques. More...

using	sharedClique = Base::sharedClique
	Shared pointer to a clique. More...

using	This = ISAM2
	This class. More...

Public Types inherited from gtsam::BayesTree< ISAM2Clique >
typedef ISAM2Clique ::BayesNetType	BayesNetType

typedef ISAM2Clique	Clique
	The clique type, normally BayesTreeClique. More...

typedef FastList< sharedClique >	Cliques

typedef ISAM2Clique ::ConditionalType	ConditionalType

typedef FactorGraphType::Eliminate	Eliminate

typedef ISAM2Clique ::EliminationTraitsType	EliminationTraitsType

typedef ISAM2Clique ::FactorGraphType	FactorGraphType

typedef ISAM2Clique ::FactorType	FactorType

typedef Clique	Node
	Synonym for Clique (TODO: remove) More...

typedef ConcurrentMap< Key, sharedClique >	Nodes

typedef FastVector< sharedClique >	Roots

typedef std::shared_ptr< BayesNetType >	sharedBayesNet

typedef std::shared_ptr< Clique >	sharedClique
	Shared pointer to a clique. More...

typedef std::shared_ptr< ConditionalType >	sharedConditional

typedef std::shared_ptr< FactorType >	sharedFactor

typedef std::shared_ptr< FactorGraphType >	sharedFactorGraph

typedef sharedClique	sharedNode
	Synonym for sharedClique (TODO: remove) More...

Public Member Functions
Values	calculateEstimate () const

template<class VALUE >
VALUE	calculateEstimate (Key key) const

const Value &	calculateEstimate (Key key) const

virtual bool	equals (const ISAM2 &other, double tol=1e-9) const

const Values &	getLinearizationPoint () const
	Access the current linearization point. More...

	ISAM2 ()

	ISAM2 (const ISAM2Params &params)

Matrix	marginalCovariance (Key key) const

void	marginalizeLeaves (const FastList< Key > &leafKeys, FactorIndices marginalFactorsIndices=nullptr, FactorIndices deletedFactorsIndices=nullptr)

template<class... OptArgs>
void	marginalizeLeaves (const FastList< Key > &leafKeys, OptArgs &&... optArgs)

virtual ISAM2Result	update (const NonlinearFactorGraph &newFactors, const Values &newTheta, const ISAM2UpdateParams &updateParams)

virtual ISAM2Result	update (const NonlinearFactorGraph &newFactors=NonlinearFactorGraph(), const Values &newTheta=Values(), const FactorIndices &removeFactorIndices=FactorIndices(), const std::optional< FastMap< Key, int > > &constrainedKeys={}, const std::optional< FastList< Key > > &noRelinKeys={}, const std::optional< FastList< Key > > &extraReelimKeys={}, bool force_relinearize=false)

bool	valueExists (Key key) const
	Check whether variable with given key exists in linearization point. More...

virtual	~ISAM2 ()

Public members for non-typical usage
Values	calculateBestEstimate () const

const VectorValues &	getDelta () const

double	error (const VectorValues &x) const

const NonlinearFactorGraph &	getFactorsUnsafe () const

const VariableIndex &	getVariableIndex () const

const KeySet &	getFixedVariables () const

const ISAM2Params &	params () const

void	printStats () const

VectorValues	gradientAtZero () const

Public Member Functions inherited from gtsam::BayesTree< ISAM2Clique >
size_t	size () const

bool	empty () const

const Nodes &	nodes () const

sharedClique	operator[] (Key j) const

const Roots &	roots () const

const sharedClique &	clique (Key j) const

BayesTreeCliqueData	getCliqueData () const

size_t	numCachedSeparatorMarginals () const

sharedConditional	marginalFactor (Key j, const Eliminate &function=EliminationTraitsType::DefaultEliminate) const

sharedFactorGraph	joint (Key j1, Key j2, const Eliminate &function=EliminationTraitsType::DefaultEliminate) const

sharedBayesNet	jointBayesNet (Key j1, Key j2, const Eliminate &function=EliminationTraitsType::DefaultEliminate) const

void	dot (std::ostream &os, const KeyFormatter &keyFormatter=DefaultKeyFormatter) const
	Output to graphviz format, stream version. More...

std::string	dot (const KeyFormatter &keyFormatter=DefaultKeyFormatter) const
	Output to graphviz format string. More...

void	saveGraph (const std::string &filename, const KeyFormatter &keyFormatter=DefaultKeyFormatter) const
	output to file with graphviz format. More...

Key	findParentClique (const CONTAINER &parents) const

void	clear ()

void	deleteCachedShortcuts ()

void	removePath (sharedClique clique, BayesNetType bn, Cliques orphans)

void	removeTop (const KeyVector &keys, BayesNetType bn, Cliques orphans)

Cliques	removeSubtree (const sharedClique &subtree)

void	insertRoot (const sharedClique &subtree)

void	addClique (const sharedClique &clique, const sharedClique &parent_clique=sharedClique())

void	addFactorsToGraph (FactorGraph< FactorType > *graph) const

void	print (const std::string &s="", const KeyFormatter &keyFormatter=DefaultKeyFormatter) const

Protected Member Functions
void	addVariables (const Values &newTheta, ISAM2Result::DetailedResults *detail=0)

void	recalculate (const ISAM2UpdateParams &updateParams, const KeySet &relinKeys, ISAM2Result *result)
	Remove marked top and either recalculate in batch or incrementally. More...

void	recalculateBatch (const ISAM2UpdateParams &updateParams, KeySet affectedKeysSet, ISAM2Result result)

void	recalculateIncremental (const ISAM2UpdateParams &updateParams, const KeySet &relinKeys, const FastList< Key > &affectedKeys, KeySet affectedKeysSet, Cliques orphans, ISAM2Result *result)
	Perform an incremental update of the factor graph to return a new Bayes Tree with affected keys. More...

GaussianFactorGraph	relinearizeAffectedFactors (const ISAM2UpdateParams &updateParams, const FastList< Key > &affectedKeys, const KeySet &relinKeys)

void	removeVariables (const KeySet &unusedKeys)

void	updateDelta (bool forceFullSolve=false) const

Protected Member Functions inherited from gtsam::BayesTree< ISAM2Clique >
This &	operator= (const This &other)

	~BayesTree ()

	BayesTree ()

	BayesTree (const This &other)

void	getCliqueData (sharedClique clique, BayesTreeCliqueData *stats) const

void	dot (std::ostream &s, sharedClique clique, const KeyFormatter &keyFormatter, int parentnum=0) const

void	removeClique (sharedClique clique)

void	fillNodesIndex (const sharedClique &subtree)

bool	equals (const This &other, double tol=1e-9) const

Protected Attributes
VectorValues	delta_

VectorValues	deltaNewton_

KeySet	deltaReplacedMask_

std::optional< double >	doglegDelta_

KeySet	fixedVariables_

GaussianFactorGraph	linearFactors_

NonlinearFactorGraph	nonlinearFactors_

ISAM2Params	params_

VectorValues	RgProd_

Values	theta_

int	update_count_

VariableIndex	variableIndex_

Protected Attributes inherited from gtsam::BayesTree< ISAM2Clique >
Nodes	nodes_

Roots	roots_

Additional Inherited Members
Protected Types inherited from gtsam::BayesTree< ISAM2Clique >
typedef std::shared_ptr< This >	shared_ptr

typedef BayesTree< ISAM2Clique >	This

Detailed Description

Implementation of the full ISAM2 algorithm for incremental nonlinear optimization.

The typical cycle of using this class to create an instance by providing ISAM2Params to the constructor, then add measurements and variables as they arrive using the update() method. At any time, calculateEstimate() may be called to obtain the current estimate of all variables.

Definition at line 45 of file ISAM2.h.

Member Typedef Documentation

◆ Base

using gtsam::ISAM2::Base = BayesTree<ISAM2Clique>

The BayesTree base class.

Definition at line 101 of file ISAM2.h.

◆ Clique

using gtsam::ISAM2::Clique = Base::Clique

A clique.

Definition at line 102 of file ISAM2.h.

◆ Cliques

using gtsam::ISAM2::Cliques = Base::Cliques

List of Cliques.

Definition at line 104 of file ISAM2.h.

◆ sharedClique

using gtsam::ISAM2::sharedClique = Base::sharedClique

Shared pointer to a clique.

Definition at line 103 of file ISAM2.h.

◆ This

using gtsam::ISAM2::This = ISAM2

This class.

Definition at line 100 of file ISAM2.h.

Constructor & Destructor Documentation

◆ ISAM2() [1/2]

gtsam::ISAM2::ISAM2 ( const ISAM2Params & params )

explicit

Create an empty ISAM2 instance

Definition at line 42 of file ISAM2.cpp.

◆ ISAM2() [2/2]

gtsam::ISAM2::ISAM2 ( )

Create an empty ISAM2 instance using the default set of parameters (see ISAM2Params)

Definition at line 50 of file ISAM2.cpp.

◆ ~ISAM2()

virtual gtsam::ISAM2::~ISAM2 ( )

inlinevirtual

default virtual destructor

Definition at line 114 of file ISAM2.h.

Member Function Documentation

◆ addVariables()

void gtsam::ISAM2::addVariables	(	const Values &	newTheta,
		ISAM2Result::DetailedResults *	detail = `0`
	)

protected

Add new variables to the ISAM2 system.

Parameters

newTheta	Initial values for new variables
variableStatus	optional detailed result structure

Definition at line 365 of file ISAM2.cpp.

◆ calculateBestEstimate()

Values gtsam::ISAM2::calculateBestEstimate ( ) const

Compute an estimate using a complete delta computed by a full back-substitution.

Definition at line 801 of file ISAM2.cpp.

◆ calculateEstimate() [1/3]

Values gtsam::ISAM2::calculateEstimate ( ) const

Compute an estimate from the incomplete linear delta computed during the last update. This delta is incomplete because it was not updated below wildfire_threshold. If only a single variable is needed, it is faster to call calculateEstimate(const KEY&).

Definition at line 786 of file ISAM2.cpp.

◆ calculateEstimate() [2/3]

template<class VALUE >

VALUE gtsam::ISAM2::calculateEstimate ( Key key ) const

inline

Compute an estimate for a single variable using its incomplete linear delta computed during the last update. This is faster than calling the no-argument version of calculateEstimate, which operates on all variables.

Parameters

key

Returns

Definition at line 236 of file ISAM2.h.

◆ calculateEstimate() [3/3]

const Value & gtsam::ISAM2::calculateEstimate ( Key key ) const

Compute an estimate for a single variable using its incomplete linear delta computed during the last update. This is faster than calling the no-argument version of calculateEstimate, which operates on all variables. This is a non-templated version that returns a Value base class for use with the MATLAB wrapper.

Parameters

key

Returns

Definition at line 795 of file ISAM2.cpp.

◆ equals()

bool gtsam::ISAM2::equals	(	const ISAM2 &	other,
		double	tol = `1e-9`
	)		const

virtual

Compare equality

Definition at line 58 of file ISAM2.cpp.

◆ error()

double gtsam::ISAM2::error ( const VectorValues & x ) const

Compute the linear error

Definition at line 820 of file ISAM2.cpp.

◆ getDelta()

const VectorValues & gtsam::ISAM2::getDelta ( ) const

Access the current delta, computed during the last call to update

Definition at line 814 of file ISAM2.cpp.

◆ getFactorsUnsafe()

const NonlinearFactorGraph& gtsam::ISAM2::getFactorsUnsafe ( ) const

inline

Access the set of nonlinear factors

Definition at line 269 of file ISAM2.h.

◆ getFixedVariables()

const KeySet& gtsam::ISAM2::getFixedVariables ( ) const

inline

Access the nonlinear variable index

Definition at line 277 of file ISAM2.h.

◆ getLinearizationPoint()

const Values& gtsam::ISAM2::getLinearizationPoint ( ) const

inline

Access the current linearization point.

Definition at line 217 of file ISAM2.h.

◆ getVariableIndex()

const VariableIndex& gtsam::ISAM2::getVariableIndex ( ) const

inline

Access the nonlinear variable index

Definition at line 274 of file ISAM2.h.

◆ gradientAtZero()

VectorValues gtsam::ISAM2::gradientAtZero ( ) const

Compute the gradient of the energy function, $\nabla_{x=0} \left\Vert \Sigma^{-1} R x - d \right\Vert^2$ , centered around zero. The gradient about zero is $ -R^T d $ . See also gradient(const GaussianBayesNet&, const VectorValues&).

Returns: A VectorValues storing the gradient.

Definition at line 825 of file ISAM2.cpp.

◆ marginalCovariance()

Matrix gtsam::ISAM2::marginalCovariance ( Key key ) const

Return marginal on any variable as a covariance matrix

Definition at line 807 of file ISAM2.cpp.

◆ marginalizeLeaves() [1/2]

void gtsam::ISAM2::marginalizeLeaves	(	const FastList< Key > &	leafKeys,
		FactorIndices *	marginalFactorsIndices = `nullptr`,
		FactorIndices *	deletedFactorsIndices = `nullptr`
	)

Marginalize out variables listed in leafKeys. These keys must be leaves in the BayesTree. Throws MarginalizeNonleafException if non-leaves are requested to be marginalized. Marginalization leaves a linear approximation of the marginal in the system, and the linearization points of any variables involved in this linear marginal become fixed. The set fixed variables will include any key involved with the marginalized variables in the original factors, and possibly additional ones due to fill-in.

If provided, 'marginalFactorsIndices' will be augmented with the factor graph indices of the marginal factors added during the 'marginalizeLeaves' call

If provided, 'deletedFactorsIndices' will be augmented with the factor graph indices of any factor that was removed during the 'marginalizeLeaves' call

Definition at line 487 of file ISAM2.cpp.

◆ marginalizeLeaves() [2/2]

template<class... OptArgs>

void gtsam::ISAM2::marginalizeLeaves	(	const FastList< Key > &	leafKeys,
		OptArgs &&...	optArgs
	)

inline

An overload of marginalizeLeaves that takes references to vectors instead of pointers to vectors and passes it to the pointer version of the function.

Definition at line 209 of file ISAM2.h.

◆ params()

const ISAM2Params& gtsam::ISAM2::params ( ) const

inline

Definition at line 279 of file ISAM2.h.

◆ printStats()

void gtsam::ISAM2::printStats ( ) const

inline

prints out clique statistics

Definition at line 282 of file ISAM2.h.

◆ recalculate()

void gtsam::ISAM2::recalculate	(	const ISAM2UpdateParams &	updateParams,
		const KeySet &	relinKeys,
		ISAM2Result *	result
	)

protected

Remove marked top and either recalculate in batch or incrementally.

Definition at line 117 of file ISAM2.cpp.

◆ recalculateBatch()

void gtsam::ISAM2::recalculateBatch	(	const ISAM2UpdateParams &	updateParams,
		KeySet *	affectedKeysSet,
		ISAM2Result *	result
	)

protected

Definition at line 178 of file ISAM2.cpp.

◆ recalculateIncremental()

void gtsam::ISAM2::recalculateIncremental	(	const ISAM2UpdateParams &	updateParams,
		const KeySet &	relinKeys,
		const FastList< Key > &	affectedKeys,
		KeySet *	affectedKeysSet,
		Cliques *	orphans,
		ISAM2Result *	result
	)

protected

Perform an incremental update of the factor graph to return a new Bayes Tree with affected keys.

Parameters

updateParams	Parameters for the ISAM2 update.
relinKeys	Keys of variables to relinearize.
affectedKeys	The set of keys which are affected in the update.
affectedKeysSet	[output] Affected and contaminated keys.
orphans	[output] List of orphanes cliques after elimination.
result	[output] The result of the incremental update step.

Definition at line 250 of file ISAM2.cpp.

◆ relinearizeAffectedFactors()

GaussianFactorGraph gtsam::ISAM2::relinearizeAffectedFactors	(	const ISAM2UpdateParams &	updateParams,
		const FastList< Key > &	affectedKeys,
		const KeySet &	relinKeys
	)

protected

Definition at line 66 of file ISAM2.cpp.

◆ removeVariables()

void gtsam::ISAM2::removeVariables ( const KeySet & unusedKeys )

protected

Remove variables from the ISAM2 system.

Definition at line 385 of file ISAM2.cpp.

◆ update() [1/2]

ISAM2Result gtsam::ISAM2::update	(	const NonlinearFactorGraph &	newFactors,
		const Values &	newTheta,
		const ISAM2UpdateParams &	updateParams
	)

virtual

Add new factors, updating the solution and relinearizing as needed.

Alternative signature of update() (see its documentation above), with all additional parameters in one structure. This form makes easier to keep future API/ABI compatibility if parameters change.

Parameters

newFactors	The new factors to be added to the system
newTheta	Initialization points for new variables to be added to the system. You must include here all new variables occuring in newFactors (which were not already in the system). There must not be any variables here that do not occur in newFactors, and additionally, variables that were already in the system must not be included here.
updateParams	Additional parameters to control relinearization, constrained keys, etc.

Returns: An ISAM2Result struct containing information about the update

Note: No default parameters to avoid ambiguous call errors.

Definition at line 419 of file ISAM2.cpp.

◆ update() [2/2]

ISAM2Result gtsam::ISAM2::update	(	const NonlinearFactorGraph &	newFactors = `NonlinearFactorGraph()`,
		const Values &	newTheta = `Values()`,
		const FactorIndices &	removeFactorIndices = `FactorIndices()`,
		const std::optional< FastMap< Key, int > > &	constrainedKeys = `{}`,
		const std::optional< FastList< Key > > &	noRelinKeys = `{}`,
		const std::optional< FastList< Key > > &	extraReelimKeys = `{}`,
		bool	force_relinearize = `false`
	)

virtual

Add new factors, updating the solution and relinearizing as needed.

Optionally, this function remove existing factors from the system to enable behaviors such as swapping existing factors with new ones.

Add new measurements, and optionally new variables, to the current system. This runs a full step of the ISAM2 algorithm, relinearizing and updating the solution as needed, according to the wildfire and relinearize thresholds.

Parameters

newFactors	The new factors to be added to the system
newTheta	Initialization points for new variables to be added to the system. You must include here all new variables occuring in newFactors (which were not already in the system). There must not be any variables here that do not occur in newFactors, and additionally, variables that were already in the system must not be included here.
removeFactorIndices	Indices of factors to remove from system
force_relinearize	Relinearize any variables whose delta magnitude is sufficiently large (Params::relinearizeThreshold), regardless of the relinearization interval (Params::relinearizeSkip).
constrainedKeys	is an optional map of keys to group labels, such that a variable can be constrained to a particular grouping in the BayesTree
noRelinKeys	is an optional set of nonlinear keys that iSAM2 will hold at a constant linearization point, regardless of the size of the linear delta
extraReelimKeys	is an optional set of nonlinear keys that iSAM2 will re-eliminate, regardless of the size of the linear delta. This allows the provided keys to be reordered.

Returns: An ISAM2Result struct containing information about the update

Definition at line 401 of file ISAM2.cpp.

◆ updateDelta()

void gtsam::ISAM2::updateDelta ( bool forceFullSolve = false ) const

protected

Definition at line 725 of file ISAM2.cpp.

◆ valueExists()

bool gtsam::ISAM2::valueExists ( Key key ) const

inline

Check whether variable with given key exists in linearization point.

Definition at line 220 of file ISAM2.h.

Member Data Documentation

◆ delta_

VectorValues gtsam::ISAM2::delta_

mutableprotected

The linear delta from the last linear solution, an update to the estimate in theta

This is mutable because it is a "cached" variable - it is not updated until either requested with getDelta() or calculateEstimate(), or needed during update() to evaluate whether to relinearize variables.

Definition at line 61 of file ISAM2.h.

◆ deltaNewton_

VectorValues gtsam::ISAM2::deltaNewton_

mutableprotected

Definition at line 63 of file ISAM2.h.

◆ deltaReplacedMask_

KeySet gtsam::ISAM2::deltaReplacedMask_

mutableprotected

A cumulative mask for the variables that were replaced and have not yet been updated in the linear solution delta_, this is only used internally, delta will always be updated if necessary when requested with getDelta() or calculateEstimate().

This is mutable because it is used internally to not update delta_ until it is needed.

Definition at line 76 of file ISAM2.h.

◆ doglegDelta_

std::optional<double> gtsam::ISAM2::doglegDelta_

mutableprotected

The current Dogleg Delta (trust region radius)

Definition at line 90 of file ISAM2.h.

◆ fixedVariables_

KeySet gtsam::ISAM2::fixedVariables_

protected

Set of variables that are involved with linear factors from marginalized variables and thus cannot have their linearization points changed.

Definition at line 94 of file ISAM2.h.

◆ linearFactors_

GaussianFactorGraph gtsam::ISAM2::linearFactors_

mutableprotected

The current linear factors, which are only updated as needed

Definition at line 84 of file ISAM2.h.

◆ nonlinearFactors_

NonlinearFactorGraph gtsam::ISAM2::nonlinearFactors_

protected

All original nonlinear factors are stored here to use during relinearization

Definition at line 81 of file ISAM2.h.

◆ params_

ISAM2Params gtsam::ISAM2::params_

protected

The current parameters

Definition at line 87 of file ISAM2.h.

◆ RgProd_

VectorValues gtsam::ISAM2::RgProd_

mutableprotected

Definition at line 65 of file ISAM2.h.

◆ theta_

Values gtsam::ISAM2::theta_

protected

The current linearization point

Definition at line 48 of file ISAM2.h.

◆ update_count_

int gtsam::ISAM2::update_count_

protected

Counter incremented every update(), used to determine periodic relinearization

Definition at line 96 of file ISAM2.h.

◆ variableIndex_

VariableIndex gtsam::ISAM2::variableIndex_

protected

VariableIndex lets us look up factors by involved variable and keeps track of dimensions

Definition at line 52 of file ISAM2.h.

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

Public Types

Public Member Functions

Protected Member Functions

Protected Attributes

Additional Inherited Members

Detailed Description

Member Typedef Documentation

◆ Base

◆ Clique

◆ Cliques

◆ sharedClique

◆ This

Constructor & Destructor Documentation

◆ ISAM2() [1/2]

◆ ISAM2() [2/2]

◆ ~ISAM2()

Member Function Documentation

◆ addVariables()

◆ calculateBestEstimate()

◆ calculateEstimate() [1/3]

◆ calculateEstimate() [2/3]

◆ calculateEstimate() [3/3]

◆ equals()

◆ error()

◆ getDelta()

◆ getFactorsUnsafe()

◆ getFixedVariables()

◆ getLinearizationPoint()

◆ getVariableIndex()

◆ gradientAtZero()

◆ marginalCovariance()

◆ marginalizeLeaves() [1/2]

◆ marginalizeLeaves() [2/2]

◆ params()

◆ printStats()

◆ recalculate()

◆ recalculateBatch()

◆ recalculateIncremental()

◆ relinearizeAffectedFactors()

◆ removeVariables()

◆ update() [1/2]

◆ update() [2/2]

◆ updateDelta()

◆ valueExists()

Member Data Documentation

◆ delta_

◆ deltaNewton_

◆ deltaReplacedMask_

◆ doglegDelta_

◆ fixedVariables_

◆ linearFactors_

◆ nonlinearFactors_

◆ params_

◆ RgProd_

◆ theta_

◆ update_count_

◆ variableIndex_