PDE-constrained inverse problem based on a 2D discretization of a diffusion/reaction system. More...

#include <GLpApp_AdvDiffReactOptModel.hpp>

Inheritance diagram for GLpApp::AdvDiffReactOptModel:

Public Member Functions
	AdvDiffReactOptModel (const Teuchos::RCP< const Epetra_Comm > &comm, const double beta, const double len_x, const double len_y, const int local_nx, const int local_ny, const char meshFile[], const int np, const double x0, const double p0, const double reactionRate, const bool normalizeBasis, const bool supportDerivatives)
	Constructor. More...

void	set_q (Teuchos::RCP< const Epetra_Vector > const &q)

Teuchos::RCP < GLpApp::GLpYUEpetraDataPool >	getDataPool ()

Teuchos::RCP< const Epetra_MultiVector >	get_B_bar () const

Public Member Functions inherited from EpetraExt::ModelEvaluator
virtual	~ModelEvaluator ()

virtual Teuchos::RCP< const Teuchos::Array< std::string > >	get_p_names (int l) const
	Get the names of the parameters associated with parameter subvector l if available. More...

virtual Teuchos::ArrayView < const std::string >	get_g_names (int j) const
	Get the names of the response functions associated with response subvector j if available. More...

virtual Teuchos::RCP< const Epetra_Vector >	get_x_dot_init () const

virtual Teuchos::RCP< const Epetra_Vector >	get_x_dotdot_init () const

virtual double	get_t_init () const

virtual double	getInfBound () const
	Return the value of an infinite bound. More...

virtual double	get_t_lower_bound () const

virtual double	get_t_upper_bound () const

virtual Teuchos::RCP < EpetraExt::ModelEvaluator::Preconditioner >	create_WPrec () const

virtual Teuchos::RCP < Epetra_Operator >	create_DgDx_dot_op (int j) const

virtual Teuchos::RCP < Epetra_Operator >	create_DgDx_dotdot_op (int j) const

virtual Teuchos::RCP < Epetra_Operator >	create_DgDx_op (int j) const

virtual Teuchos::RCP < Epetra_Operator >	create_DgDp_op (int j, int l) const

Public Member Functions inherited from Teuchos::Describable
DescribableStreamManipulatorState	describe (const Describable &describable, const EVerbosityLevel verbLevel=Describable::verbLevel_default)

std::ostream &	operator<< (std::ostream &os, const DescribableStreamManipulatorState &d)

virtual std::string	description () const

virtual void	describe (FancyOStream &out, const EVerbosityLevel verbLevel=verbLevel_default) const

void	describe (std::ostream &out, const EVerbosityLevel verbLevel=verbLevel_default) const

virtual	~Describable ()

	LabeledObject ()

virtual	~LabeledObject ()

virtual void	setObjectLabel (const std::string &objectLabel)

virtual std::string	getObjectLabel () const

Public Member Functions inherited from Teuchos::VerboseObject< AdvDiffReactOptModel >
TEUCHOSPARAMETERLIST_LIB_DLL_EXPORT RCP< const ParameterList >	getValidVerboseObjectSublist ()

TEUCHOSPARAMETERLIST_LIB_DLL_EXPORT void	setupVerboseObjectSublist (ParameterList *paramList)

TEUCHOSPARAMETERLIST_LIB_DLL_EXPORT void	readVerboseObjectSublist (ParameterList paramList, RCP< FancyOStream > oStream, EVerbosityLevel *verbLevel)

void	readVerboseObjectSublist (ParameterList paramList, VerboseObject< AdvDiffReactOptModel > verboseObject)

	VerboseObject (const EVerbosityLevel verbLevel=VERB_DEFAULT, const RCP< FancyOStream > &oStream=Teuchos::null)

virtual const VerboseObject &	setVerbLevel (const EVerbosityLevel verbLevel) const

virtual const VerboseObject &	setOverridingVerbLevel (const EVerbosityLevel verbLevel) const

virtual EVerbosityLevel	getVerbLevel () const

Private Types
typedef Teuchos::Array < Teuchos::RCP< const Epetra_Map > >	RCP_Eptra_Map_Array_t

typedef Teuchos::Array < Teuchos::RCP< Epetra_Vector > >	RCP_Eptra_Vector_Array_t

Private Attributes
bool	supportDerivatives_

bool	isInitialized_

Teuchos::RCP < GLpApp::GLpYUEpetraDataPool >	dat_

int	np_

Teuchos::RCP< const Epetra_Vector >	q_

Teuchos::RCP< const Epetra_Map >	map_p_bar_

Teuchos::RCP< Epetra_MultiVector >	B_bar_

Teuchos::RCP< const Epetra_Comm >	epetra_comm_

Teuchos::RCP< const Epetra_Map >	map_x_

RCP_Eptra_Map_Array_t	map_p_

Teuchos::RCP< const Epetra_Map >	map_f_

Teuchos::RCP< const Epetra_Map >	map_g_

Teuchos::RCP< Epetra_Vector >	x0_

Teuchos::RCP< Epetra_Vector >	xL_

Teuchos::RCP< Epetra_Vector >	xU_

RCP_Eptra_Vector_Array_t	p0_

RCP_Eptra_Vector_Array_t	pL_

RCP_Eptra_Vector_Array_t	pU_

Teuchos::RCP< Epetra_Vector >	gL_

Teuchos::RCP< Epetra_Vector >	gU_

Teuchos::RCP< Epetra_CrsGraph >	W_graph_

Static Private Attributes
static const int	Np_ = 2

static const int	p_bndy_idx = 0

static const int	p_rx_idx = 1

Overridden from EpetraExt::ModelEvaluator .
Teuchos::RCP< const Epetra_Map >	get_x_map () const

Teuchos::RCP< const Epetra_Map >	get_f_map () const

Teuchos::RCP< const Epetra_Map >	get_p_map (int l) const
	. More...

Teuchos::RCP< const Epetra_Map >	get_g_map (int j) const
	. More...

Teuchos::RCP< const Epetra_Vector >	get_x_init () const

Teuchos::RCP< const Epetra_Vector >	get_p_init (int l) const

Teuchos::RCP< const Epetra_Vector >	get_x_lower_bounds () const

Teuchos::RCP< const Epetra_Vector >	get_x_upper_bounds () const

Teuchos::RCP< const Epetra_Vector >	get_p_lower_bounds (int l) const

Teuchos::RCP< const Epetra_Vector >	get_p_upper_bounds (int l) const

Teuchos::RCP< Epetra_Operator >	create_W () const

Teuchos::RCP< Epetra_Operator >	create_DfDp_op (int l) const

InArgs	createInArgs () const

OutArgs	createOutArgs () const

void	evalModel (const InArgs &inArgs, const OutArgs &outArgs) const

Additional Inherited Members
Public Types inherited from EpetraExt::ModelEvaluator
enum	EInArgsMembers { IN_ARG_x_dot, IN_ARG_x, IN_ARG_x_dot_poly, IN_ARG_x_poly, IN_ARG_x_dot_sg, IN_ARG_x_sg, IN_ARG_x_dot_mp, IN_ARG_x_mp, IN_ARG_t, IN_ARG_alpha, IN_ARG_beta, IN_ARG_step_size, IN_ARG_stage_number, IN_ARG_x_dotdot, IN_ARG_x_dotdot_poly, IN_ARG_x_dotdot_sg, IN_ARG_x_dotdot_mp, IN_ARG_omega, IN_ARG_sg_basis, IN_ARG_sg_quadrature, IN_ARG_sg_expansion }

enum	EInArgs_p_sg { IN_ARG_p_sg }

enum	EInArgs_p_mp { IN_ARG_p_mp }

enum	EEvalType { EVAL_TYPE_EXACT, EVAL_TYPE_APPROX_DERIV, EVAL_TYPE_VERY_APPROX_DERIV }

enum	EDerivativeMultiVectorOrientation { DERIV_MV_BY_COL, DERIV_TRANS_MV_BY_ROW }

enum	EDerivativeLinearOp { DERIV_LINEAR_OP }

enum	EDerivativeLinearity { DERIV_LINEARITY_UNKNOWN, DERIV_LINEARITY_CONST, DERIV_LINEARITY_NONCONST }

enum	ERankStatus { DERIV_RANK_UNKNOWN, DERIV_RANK_FULL, DERIV_RANK_DEFICIENT }

enum	EOutArgsMembers { OUT_ARG_f, OUT_ARG_W, OUT_ARG_f_poly, OUT_ARG_f_sg, OUT_ARG_W_sg, OUT_ARG_f_mp, OUT_ARG_W_mp, OUT_ARG_WPrec }

enum	EOutArgsDfDp { OUT_ARG_DfDp }

enum	EOutArgsDgDx_dot { OUT_ARG_DgDx_dot }

enum	EOutArgsDgDx_dotdot { OUT_ARG_DgDx_dotdot }

enum	EOutArgsDgDx { OUT_ARG_DgDx }

enum	EOutArgsDgDp { OUT_ARG_DgDp }

enum	EOutArgsDfDp_sg { OUT_ARG_DfDp_sg }

enum	EOutArgs_g_sg { OUT_ARG_g_sg }

enum	EOutArgsDgDx_dot_sg { OUT_ARG_DgDx_dot_sg }

enum	EOutArgsDgDx_dotdot_sg { OUT_ARG_DgDx_dotdot_sg }

enum	EOutArgsDgDx_sg { OUT_ARG_DgDx_sg }

enum	EOutArgsDgDp_sg { OUT_ARG_DgDp_sg }

enum	EOutArgsDfDp_mp { OUT_ARG_DfDp_mp }

enum	EOutArgs_g_mp { OUT_ARG_g_mp }

enum	EOutArgsDgDx_dot_mp { OUT_ARG_DgDx_dot_mp }

enum	EOutArgsDgDx_dotdot_mp { OUT_ARG_DgDx_dotdot_mp }

enum	EOutArgsDgDx_mp { OUT_ARG_DgDx_mp }

enum	EOutArgsDgDp_mp { OUT_ARG_DgDp_mp }

typedef Teuchos::RCP< const Stokhos::ProductEpetraVector >	mp_const_vector_t

typedef Teuchos::RCP< const Stokhos::ProductEpetraMultiVector >	mp_const_multivector_t

typedef Teuchos::RCP< const Stokhos::ProductEpetraOperator >	mp_const_operator_t

typedef Teuchos::RCP < Stokhos::ProductEpetraVector >	mp_vector_t

typedef Teuchos::RCP < Stokhos::ProductEpetraMultiVector >	mp_multivector_t

typedef Teuchos::RCP < Stokhos::ProductEpetraOperator >	mp_operator_t

Static Public Member Functions inherited from Teuchos::VerboseObject< AdvDiffReactOptModel >
static void	setDefaultVerbLevel (const EVerbosityLevel defaultVerbLevel)

static EVerbosityLevel	getDefaultVerbLevel ()

Static Public Attributes inherited from EpetraExt::ModelEvaluator
static const int	NUM_E_IN_ARGS_MEMBERS =21

static const int	NUM_E_OUT_ARGS_MEMBERS =9

Static Public Attributes inherited from Teuchos::Describable
static const EVerbosityLevel	verbLevel_default

Protected Member Functions inherited from Teuchos::VerboseObject< AdvDiffReactOptModel >
void	initializeVerboseObject (const EVerbosityLevel verbLevel=VERB_DEFAULT, const RCP< FancyOStream > &oStream=Teuchos::null)

Detailed Description

PDE-constrained inverse problem based on a 2D discretization of a diffusion/reaction system.

The model evaluator subclass is used to represent the simulation-constrained optimization problem:

 min   g(x,p)
 s.t.  f(x,p) = 0;

where:

x is the vector of discretized concentations of the species in the 2D domain.
p is the global vector of coefficients of a sine series basis (see B_bar below).
f(x,p) = A*x + reationRate*Ny(x) + B*(B_bar*p) is the discretized 2D diffusion/reaction PDE.
g(x,p) = 0.5 * (x-q)'H(x-q) + 0.5*regBeta*(B_bar*p)'R(B_bar*p) is the least squares objective function.
A is the discretized Laplacian operator for the diffusion part of the PDE state equation. This matrix is constant, square and singular.
B is the sensitivity of the flux boundary conditions. This is a constant rectangular matrix.
B_bar are the sine series coefficients with a column dimension of np.
Ny(x) is the nonlinear terms for the discretized reaction over the 2D domain.
reactionRate is the relative reaction rate which must take on a non-zero value to form a solvable problem.
H is the symmetric positive definite mass matrix for the problem (i.e. the discretization of the inner product operator over the 2D domain).
q is a matching or target vector for the state x over the 2D domain of the problem.
R is the symmetric positive definite discretization of the inner product of the flux function over the boundary of the 2D domain.
regBeta is a regularization parameter that must be greater than zero.

The nuts and bolts of the implementation for this problem are contained in the C++ class GLpApp::GLpYUEpetraDataPool that was originally implemented by Denis Ridzal while a student at Rice University. The class GLpApp::GLpYUEpetraDataPool implements the basic operators and nonlinear functions but this class puts them together to form a valid the model in terms of a model evaluator interface.

This example problem demonstrates a few different aspects of the EpetraExt::ModelEvaluator interface:

How to manage parallel vector data. The state variables in x are managed as fully distributed parallel data while the flux sine-series parameter coefficients p are managed as locally replicated data.

Demonstrates shared compuation between the objective function g(x,p) and the simulation equality constraints f(x,p) and their derivatives. The intermediate vector B_bar*p is computed only once and is shared with the computation of g and f. The intermediate vector R*(B_bar*p) is computed once and shared between the computation of g and DgDp.

The functions AdvDiffReactOptModel() createInArgs(), createOutArgs() and evalModel() are fairly cleanly written and are appropriate to be studied in order to show how to implement other parallel simulation-constrained problems based on Epetra objects.

The mesh for the 2D domain can either be read in as a mesh data file give the files name or can be generated automatically on a square 2D domain.

The program triangle can be used to generate meshes for arbitary 2D geometries and then metis can be used to partition the mesh to multiple domains. Instructions for how to use triangle and metis to generate meshes is described ???here???.

Instead of reading in a mesh file, a square 2D mesh can be automatically generated given just the length in the x and y directions and the number of local elements in each direction. Currently, the square mesh is only partitioned in the x direction and therefore will not demonstrate great parallel scalability for large numbers of processors due to excessive amounts of shared boundary between processes.

ToDo: Finish Documentation!

Definition at line 162 of file GLpApp_AdvDiffReactOptModel.hpp.

Member Typedef Documentation

typedef Teuchos::Array<Teuchos::RCP<const Epetra_Map> > GLpApp::AdvDiffReactOptModel::RCP_Eptra_Map_Array_t

private

Definition at line 235 of file GLpApp_AdvDiffReactOptModel.hpp.

typedef Teuchos::Array<Teuchos::RCP<Epetra_Vector> > GLpApp::AdvDiffReactOptModel::RCP_Eptra_Vector_Array_t

private

Definition at line 236 of file GLpApp_AdvDiffReactOptModel.hpp.

Constructor & Destructor Documentation

GLpApp::AdvDiffReactOptModel::AdvDiffReactOptModel	(	const Teuchos::RCP< const Epetra_Comm > &	comm,
		const double	beta,
		const double	len_x,
		const double	len_y,
		const int	local_nx,
		const int	local_ny,
		const char	meshFile[],
		const int	np,
		const double	x0,
		const double	p0,
		const double	reactionRate,
		const bool	normalizeBasis,
		const bool	supportDerivatives
	)

Constructor.

Definition at line 95 of file GLpApp_AdvDiffReactOptModel.cpp.

Member Function Documentation

void GLpApp::AdvDiffReactOptModel::set_q ( Teuchos::RCP< const Epetra_Vector > const & q )

Definition at line 246 of file GLpApp_AdvDiffReactOptModel.cpp.

Teuchos::RCP< GLpApp::GLpYUEpetraDataPool > GLpApp::AdvDiffReactOptModel::getDataPool ( )

Definition at line 259 of file GLpApp_AdvDiffReactOptModel.cpp.

Teuchos::RCP< const Epetra_MultiVector > GLpApp::AdvDiffReactOptModel::get_B_bar ( ) const

Definition at line 265 of file GLpApp_AdvDiffReactOptModel.cpp.

Teuchos::RCP< const Epetra_Map > GLpApp::AdvDiffReactOptModel::get_x_map ( ) const

virtual

Implements EpetraExt::ModelEvaluator.

Definition at line 273 of file GLpApp_AdvDiffReactOptModel.cpp.

Teuchos::RCP< const Epetra_Map > GLpApp::AdvDiffReactOptModel::get_f_map ( ) const

virtual

Implements EpetraExt::ModelEvaluator.

Definition at line 279 of file GLpApp_AdvDiffReactOptModel.cpp.

Teuchos::RCP< const Epetra_Map > GLpApp::AdvDiffReactOptModel::get_p_map ( int l ) const

virtual

.

Reimplemented from EpetraExt::ModelEvaluator.

Definition at line 285 of file GLpApp_AdvDiffReactOptModel.cpp.

Teuchos::RCP< const Epetra_Map > GLpApp::AdvDiffReactOptModel::get_g_map ( int j ) const

virtual

.

Reimplemented from EpetraExt::ModelEvaluator.

Definition at line 292 of file GLpApp_AdvDiffReactOptModel.cpp.

Teuchos::RCP< const Epetra_Vector > GLpApp::AdvDiffReactOptModel::get_x_init ( ) const

virtual

Reimplemented from EpetraExt::ModelEvaluator.

Definition at line 299 of file GLpApp_AdvDiffReactOptModel.cpp.

Teuchos::RCP< const Epetra_Vector > GLpApp::AdvDiffReactOptModel::get_p_init ( int l ) const

virtual

Reimplemented from EpetraExt::ModelEvaluator.

Definition at line 305 of file GLpApp_AdvDiffReactOptModel.cpp.

Teuchos::RCP< const Epetra_Vector > GLpApp::AdvDiffReactOptModel::get_x_lower_bounds ( ) const

virtual

Reimplemented from EpetraExt::ModelEvaluator.

Definition at line 312 of file GLpApp_AdvDiffReactOptModel.cpp.

Teuchos::RCP< const Epetra_Vector > GLpApp::AdvDiffReactOptModel::get_x_upper_bounds ( ) const

virtual

Reimplemented from EpetraExt::ModelEvaluator.

Definition at line 318 of file GLpApp_AdvDiffReactOptModel.cpp.

Teuchos::RCP< const Epetra_Vector > GLpApp::AdvDiffReactOptModel::get_p_lower_bounds ( int l ) const

virtual

Reimplemented from EpetraExt::ModelEvaluator.

Definition at line 324 of file GLpApp_AdvDiffReactOptModel.cpp.

Teuchos::RCP< const Epetra_Vector > GLpApp::AdvDiffReactOptModel::get_p_upper_bounds ( int l ) const

virtual

Reimplemented from EpetraExt::ModelEvaluator.

Definition at line 331 of file GLpApp_AdvDiffReactOptModel.cpp.

Teuchos::RCP< Epetra_Operator > GLpApp::AdvDiffReactOptModel::create_W ( ) const

virtual

Reimplemented from EpetraExt::ModelEvaluator.

Definition at line 338 of file GLpApp_AdvDiffReactOptModel.cpp.

Teuchos::RCP< Epetra_Operator > GLpApp::AdvDiffReactOptModel::create_DfDp_op ( int l ) const

virtual

Reimplemented from EpetraExt::ModelEvaluator.

Definition at line 344 of file GLpApp_AdvDiffReactOptModel.cpp.

EpetraExt::ModelEvaluator::InArgs GLpApp::AdvDiffReactOptModel::createInArgs ( ) const

virtual

Implements EpetraExt::ModelEvaluator.

Definition at line 352 of file GLpApp_AdvDiffReactOptModel.cpp.

EpetraExt::ModelEvaluator::OutArgs GLpApp::AdvDiffReactOptModel::createOutArgs ( ) const

virtual

Implements EpetraExt::ModelEvaluator.

Definition at line 362 of file GLpApp_AdvDiffReactOptModel.cpp.

void GLpApp::AdvDiffReactOptModel::evalModel	(	const InArgs &	inArgs,
		const OutArgs &	outArgs
	)		const

virtual

Implements EpetraExt::ModelEvaluator.

Definition at line 411 of file GLpApp_AdvDiffReactOptModel.cpp.

Member Data Documentation

const int GLpApp::AdvDiffReactOptModel::Np_ = 2

staticprivate

Definition at line 241 of file GLpApp_AdvDiffReactOptModel.hpp.

const int GLpApp::AdvDiffReactOptModel::p_bndy_idx = 0

staticprivate

Definition at line 242 of file GLpApp_AdvDiffReactOptModel.hpp.

const int GLpApp::AdvDiffReactOptModel::p_rx_idx = 1

staticprivate

Definition at line 243 of file GLpApp_AdvDiffReactOptModel.hpp.

bool GLpApp::AdvDiffReactOptModel::supportDerivatives_

private

Definition at line 245 of file GLpApp_AdvDiffReactOptModel.hpp.

bool GLpApp::AdvDiffReactOptModel::isInitialized_

private

Definition at line 247 of file GLpApp_AdvDiffReactOptModel.hpp.

Teuchos::RCP<GLpApp::GLpYUEpetraDataPool> GLpApp::AdvDiffReactOptModel::dat_

private

Definition at line 249 of file GLpApp_AdvDiffReactOptModel.hpp.

int GLpApp::AdvDiffReactOptModel::np_

private

Definition at line 250 of file GLpApp_AdvDiffReactOptModel.hpp.

Teuchos::RCP<const Epetra_Vector> GLpApp::AdvDiffReactOptModel::q_

private

Definition at line 251 of file GLpApp_AdvDiffReactOptModel.hpp.

Teuchos::RCP<const Epetra_Map> GLpApp::AdvDiffReactOptModel::map_p_bar_

private

Definition at line 253 of file GLpApp_AdvDiffReactOptModel.hpp.

Teuchos::RCP<Epetra_MultiVector> GLpApp::AdvDiffReactOptModel::B_bar_

private

Definition at line 254 of file GLpApp_AdvDiffReactOptModel.hpp.

Teuchos::RCP<const Epetra_Comm> GLpApp::AdvDiffReactOptModel::epetra_comm_

private

Definition at line 256 of file GLpApp_AdvDiffReactOptModel.hpp.

Teuchos::RCP<const Epetra_Map> GLpApp::AdvDiffReactOptModel::map_x_

private

Definition at line 257 of file GLpApp_AdvDiffReactOptModel.hpp.

RCP_Eptra_Map_Array_t GLpApp::AdvDiffReactOptModel::map_p_

private

Definition at line 258 of file GLpApp_AdvDiffReactOptModel.hpp.

Teuchos::RCP<const Epetra_Map> GLpApp::AdvDiffReactOptModel::map_f_

private

Definition at line 259 of file GLpApp_AdvDiffReactOptModel.hpp.

Teuchos::RCP<const Epetra_Map> GLpApp::AdvDiffReactOptModel::map_g_

private

Definition at line 260 of file GLpApp_AdvDiffReactOptModel.hpp.

Teuchos::RCP<Epetra_Vector> GLpApp::AdvDiffReactOptModel::x0_

private

Definition at line 262 of file GLpApp_AdvDiffReactOptModel.hpp.

Teuchos::RCP<Epetra_Vector> GLpApp::AdvDiffReactOptModel::xL_

private

Definition at line 263 of file GLpApp_AdvDiffReactOptModel.hpp.

Teuchos::RCP<Epetra_Vector> GLpApp::AdvDiffReactOptModel::xU_

private

Definition at line 264 of file GLpApp_AdvDiffReactOptModel.hpp.

RCP_Eptra_Vector_Array_t GLpApp::AdvDiffReactOptModel::p0_

private

Definition at line 265 of file GLpApp_AdvDiffReactOptModel.hpp.

RCP_Eptra_Vector_Array_t GLpApp::AdvDiffReactOptModel::pL_

private

Definition at line 266 of file GLpApp_AdvDiffReactOptModel.hpp.

RCP_Eptra_Vector_Array_t GLpApp::AdvDiffReactOptModel::pU_

private

Definition at line 267 of file GLpApp_AdvDiffReactOptModel.hpp.

Teuchos::RCP<Epetra_Vector> GLpApp::AdvDiffReactOptModel::gL_

private

Definition at line 268 of file GLpApp_AdvDiffReactOptModel.hpp.

Teuchos::RCP<Epetra_Vector> GLpApp::AdvDiffReactOptModel::gU_

private

Definition at line 269 of file GLpApp_AdvDiffReactOptModel.hpp.

Teuchos::RCP<Epetra_CrsGraph> GLpApp::AdvDiffReactOptModel::W_graph_

private

Definition at line 271 of file GLpApp_AdvDiffReactOptModel.hpp.

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

Public Member Functions

Private Types

Private Attributes

Static Private Attributes

Overridden from EpetraExt::ModelEvaluator .

Additional Inherited Members

Detailed Description

Member Typedef Documentation

Constructor & Destructor Documentation

Member Function Documentation

Member Data Documentation