Derived class within the interface class hierarchy for supporting approximations to simulation-based results. More...

Inheritance diagram for ApproximationInterface:

Public Member Functions
	ApproximationInterface (ProblemDescDB &problem_db, const Variables &am_vars, bool am_cache, const String &am_interface_id, const StringArray &fn_labels)
	primary constructor

	ApproximationInterface (const String &approx_type, const UShortArray &approx_order, const Variables &am_vars, bool am_cache, const String &am_interface_id, size_t num_fns, short data_order, short output_level)
	alternate constructor for instantiations on the fly

	~ApproximationInterface ()
	destructor

Public Member Functions inherited from Interface
	Interface ()
	default constructor More...

	Interface (ProblemDescDB &problem_db)
	standard constructor for envelope More...

	Interface (const Interface &interface_in)
	copy constructor More...

virtual	~Interface ()
	destructor

Interface	operator= (const Interface &interface_in)
	assignment operator

virtual void	serve_evaluations ()
	evaluation server function for multiprocessor executions

virtual void	stop_evaluation_servers ()
	send messages from iterator rank 0 to terminate evaluation servers

virtual void	init_communicators (const IntArray &message_lengths, int max_eval_concurrency)
	allocate communicator partitions for concurrent evaluations within an iterator and concurrent multiprocessor analyses within an evaluation.

virtual void	set_communicators (const IntArray &message_lengths, int max_eval_concurrency)
	set the local parallel partition data for an interface (the partitions are already allocated in ParallelLibrary).

virtual void	init_serial ()
	reset certain defaults for serial interface objects.

virtual int	asynch_local_evaluation_concurrency () const
	return the user-specified concurrency for asynch local evaluations

virtual short	interface_synchronization () const
	return the user-specified interface synchronization

virtual RealArray	challenge_diagnostics (const String &metric_type, const RealMatrix &challenge_pts)
	approximation challenge data metrics per response function

virtual const StringArray &	analysis_drivers () const
	retrieve the analysis drivers specification for application interfaces

virtual const String2DArray &	analysis_components () const
	retrieve the analysis components, if available

virtual bool	evaluation_cache () const
	return flag indicating usage of the global evaluation cache

virtual bool	restart_file () const
	return flag indicating usage of the restart file

virtual void	file_cleanup () const
	clean up any interface parameter/response files when aborting

IntResponseMap &	response_map ()
	return rawResponseMap

void	cache_unmatched_response (int raw_id)
	migrate an unmatched response record from rawResponseMap to cachedResponseMap

void	cache_unmatched_responses ()
	migrate all remaining response records from rawResponseMap to cachedResponseMap

void	assign_rep (std::shared_ptr< Interface > interface_rep)
	assign letter or replace existing letter with a new one More...

void	assign_rep (Interface *interface_rep, bool ref_count_incr=false)
	assign letter or replace existing letter with a new one DEPRECATED, but left for library mode clients to migrate: transfers memory ownership to the contained shared_ptr; ref_count_incr is ignored More...

unsigned short	interface_type () const
	returns the interface type

const String &	interface_id () const
	returns the interface identifier

int	evaluation_id () const
	returns the value of the (total) evaluation id counter for the interface

void	fine_grained_evaluation_counters (size_t num_fns)
	set fineGrainEvalCounters to true and initialize counters if needed

void	init_evaluation_counters (size_t num_fns)
	initialize fine grained evaluation counters, sizing if needed

void	set_evaluation_reference ()
	set evaluation count reference points for the interface

void	print_evaluation_summary (std::ostream &s, bool minimal_header, bool relative_count) const
	print an evaluation summary for the interface

bool	multi_proc_eval () const
	returns a flag signaling the use of multiprocessor evaluation partitions

bool	iterator_eval_dedicated_master () const
	returns a flag signaling the use of a dedicated master processor at the iterator-evaluation scheduling level

bool	is_null () const
	function to check interfaceRep (does this envelope contain a letter?)

std::shared_ptr< Interface >	interface_rep ()
	function to return the letter

void	eval_tag_prefix (const String &eval_id_str, bool append_iface_id=true)
	set the evaluation tag prefix (does not recurse) More...

Protected Member Functions
virtual Approximation &	function_surface (size_t)
	return reference to specified approximation

virtual const Approximation &	function_surface (size_t) const

virtual int	field_component (size_t fn_index) const
	return surface field component for response index

virtual size_t	num_function_surfaces () const

void	map (const Variables &vars, const ActiveSet &set, Response &response, bool asynch_flag=false)
	the function evaluator: provides an approximate "mapping" from the variables to the responses using functionSurfaces

int	minimum_points (bool constraint_flag) const
	returns the minimum number of samples required to build the functionSurfaces

int	recommended_points (bool constraint_flag) const
	returns the recommended number of samples recommended to build the functionSurfaces

void	active_model_key (const Pecos::ActiveKey &key)
	activate an approximation state based on its key

void	clear_model_keys ()
	reset initial state by removing all model keys for an approximation

void	approximation_function_indices (const SizetSet &approx_fn_indices)
	set the (currently active) approximation function index set

void	update_approximation (const Variables &vars, const IntResponsePair &response_pr)

void	update_approximation (const RealMatrix &samples, const IntResponseMap &resp_map)

void	update_approximation (const VariablesArray &vars_array, const IntResponseMap &resp_map)

void	append_approximation (const Variables &vars, const IntResponsePair &response_pr)

void	append_approximation (const RealMatrix &samples, const IntResponseMap &resp_map)

void	append_approximation (const VariablesArray &vars_array, const IntResponseMap &resp_map)

void	append_approximation (const IntVariablesMap &vars_map, const IntResponseMap &resp_map)

void	replace_approximation (const IntResponsePair &response_pr)
	replace the response for a single point within an existing approximation

void	replace_approximation (const IntResponseMap &resp_map)
	replace responses for multiple points within an existing approximation

void	track_evaluation_ids (bool track)
	assigns trackEvalIds to activate tracking of evaluation ids within surrogate data, enabling id-based lookups for data replacement

void	build_approximation (const RealVector &c_l_bnds, const RealVector &c_u_bnds, const IntVector &di_l_bnds, const IntVector &di_u_bnds, const RealVector &dr_l_bnds, const RealVector &dr_u_bnds)

void	export_approximation ()

void	rebuild_approximation (const BitArray &rebuild_fns)

void	pop_approximation (bool save_data)

void	push_approximation ()

bool	push_available ()
	queries the approximation for the ability to retrieve a previous increment

void	finalize_approximation ()
	finalizes the approximation by applying all trial increments

void	combine_approximation ()
	combine the current approximation with previously stored data sets

void	combined_to_active (bool clear_combined=true)
	promote the combined approximation to the currently active one

void	clear_inactive ()
	clear inactive approximation data

void	clear_current_active_data ()
	clears current data from an approximation interface

void	clear_active_data ()
	clears all data from an approximation interface

SharedApproxData &	shared_approximation ()
	retrieve the SharedApproxData within an ApproximationInterface

const SizetSet &	approximation_fn_indices () const

std::vector< Approximation > &	approximations ()
	retrieve the Approximations within an ApproximationInterface

const Pecos::SurrogateData &	approximation_data (size_t fn_index)
	retrieve the approximation data from a particular Approximation within an ApproximationInterface

const RealVectorArray &	approximation_coefficients (bool normalized=false)
	retrieve the approximation coefficients from each Approximation within an ApproximationInterface

void	approximation_coefficients (const RealVectorArray &approx_coeffs, bool normalized=false)
	set the approximation coefficients within each Approximation within an ApproximationInterface

const RealVector &	approximation_variances (const Variables &vars)
	retrieve the approximation variances from each Approximation within an ApproximationInterface

void	discrepancy_emulation_mode (short mode)
	set discrepancy emulation mode used for approximating response differences

bool	formulation_updated () const
	query for change in approximation formulation

void	formulation_updated (bool update)
	assign an updated status for approximation formulation to force rebuild

bool	advancement_available ()
	query for available advancements in approximation resolution controls

Real2DArray	cv_diagnostics (const StringArray &metrics, unsigned num_folds)
	approximation cross-validation quality metrics per response function

Real2DArray	challenge_diagnostics (const StringArray &metric_types, const RealMatrix &challenge_pts, const RealVector &challenge_resps)

const IntResponseMap &	synchronize ()
	recovers data from a series of asynchronous evaluations (blocking)

const IntResponseMap &	synchronize_nowait ()
	recovers data from a series of asynchronous evaluations (nonblocking)

Protected Member Functions inherited from Interface
	Interface (BaseConstructor, const ProblemDescDB &problem_db)
	constructor initializes the base class part of letter classes (BaseConstructor overloading avoids infinite recursion in the derived class constructors - Coplien, p. 139) More...

	Interface (NoDBBaseConstructor, size_t num_fns, short output_level)
	constructor initializes the base class part of letter classes (NoDBBaseConstructor used for on the fly instantiations without a DB)

void	init_algebraic_mappings (const Variables &vars, const Response &response)
	Define algebraicACVIndices, algebraicACVIds, and algebraicFnIndices.

void	asv_mapping (const ActiveSet &total_set, ActiveSet &algebraic_set, ActiveSet &core_set)
	define the evaluation requirements for algebraic_mappings() (algebraic_set) and the core Application/Approximation mapping (core_set) from the total Interface evaluation requirements (total_set)

void	asv_mapping (const ActiveSet &algebraic_set, ActiveSet &total_set)
	map an algebraic ASV back to original total ordering for asynch recovery

void	algebraic_mappings (const Variables &vars, const ActiveSet &algebraic_set, Response &algebraic_response)
	evaluate the algebraic_response using the AMPL solver library and the data extracted from the algebraic_mappings file

void	response_mapping (const Response &algebraic_response, const Response &core_response, Response &total_response)
	combine the response from algebraic_mappings() with the response from derived_map() to create the total response More...

virtual String	final_eval_id_tag (int fn_eval_id)
	form and return the final evaluation ID tag, appending iface ID if needed

Protected Attributes
std::vector< Approximation >	functionSurfaces
	list of approximations, one per response function More...

Protected Attributes inherited from Interface
unsigned short	interfaceType
	the interface type: enum for system, fork, direct, grid, or approximation

String	interfaceId
	the interface specification identifier string from the DAKOTA input file

bool	algebraicMappings
	flag for the presence of algebraic_mappings that define the subset of an Interface's parameter to response mapping that is explicit and algebraic.

bool	coreMappings
	flag for the presence of non-algebraic mappings that define the core of an Interface's parameter to response mapping (using analysis_drivers for ApplicationInterface or functionSurfaces for ApproximationInterface).

short	outputLevel
	output verbosity level: {SILENT,QUIET,NORMAL,VERBOSE,DEBUG}_OUTPUT

int	currEvalId
	identifier for the current evaluation, which may differ from the evaluation counters in the case of evaluation scheduling; used on iterator master as well as server processors. Currently, this is set prior to all invocations of derived_map() for all processors.

bool	fineGrainEvalCounters
	controls use of fn val/grad/hess counters for detailed evaluation report

int	evalIdCntr
	total interface evaluation counter

int	newEvalIdCntr
	new (non-duplicate) interface evaluation counter

int	evalIdRefPt
	iteration reference point for evalIdCntr

int	newEvalIdRefPt
	iteration reference point for newEvalIdCntr

IntArray	fnValCounter
	number of value evaluations by resp fn

IntArray	fnGradCounter
	number of gradient evaluations by resp fn

IntArray	fnHessCounter
	number of Hessian evaluations by resp fn

IntArray	newFnValCounter
	number of new value evaluations by resp fn

IntArray	newFnGradCounter
	number of new gradient evaluations by resp fn

IntArray	newFnHessCounter
	number of new Hessian evaluations by resp fn

IntArray	fnValRefPt
	iteration reference point for fnValCounter

IntArray	fnGradRefPt
	iteration reference point for fnGradCounter

IntArray	fnHessRefPt
	iteration reference point for fnHessCounter

IntArray	newFnValRefPt
	iteration reference point for newFnValCounter

IntArray	newFnGradRefPt
	iteration reference point for newFnGradCounter

IntArray	newFnHessRefPt
	iteration reference point for newFnHessCounter

IntResponseMap	rawResponseMap
	Set of responses returned by either a blocking or nonblocking schedule. More...

IntResponseMap	cachedResponseMap
	Set of available asynchronous responses completed within a blocking or nonblocking scheduler that cannot be processed in a higher level context and need to be stored for later.

StringArray	fnLabels
	response function descriptors (used in print_evaluation_summary() and derived direct interface classes); initialized in map() functions due to potential updates after construction

bool	multiProcEvalFlag
	flag for multiprocessor evaluation partitions (evalComm)

bool	ieDedMasterFlag
	flag for dedicated master partitioning at the iterator level

String	evalTagPrefix
	set of period-delimited evaluation ID tags to use in evaluation tagging

bool	appendIfaceId
	whether to append the interface ID to the prefix during map (default true)

String2DArray	analysisComponents
	Analysis components for interface types that support them.

Private Member Functions
void	mixed_add (const Variables &vars, const IntResponsePair &response_pr, bool anchor)
	add variables/response data to functionSurfaces using a mixture of shallow and deep copies

void	mixed_add (const Real *c_vars, const IntResponsePair &response_pr, bool anchor)
	add variables/response data to functionSurfaces using a mixture of shallow and deep copies

void	shallow_add (const Variables &vars, const IntResponsePair &response_pr, bool anchor)
	add variables/response data to functionSurfaces using a shallow copy

void	sample_to_variables (const Real *sample_c_vars, size_t num_cv, Variables &vars)
	populate continuous variables within vars from sample_c_vars

void	update_pop_counts (const IntResponsePair &response_pr)
	append to the stack of pop counts within each of the functionSurfaces based on the active set definition within a single incoming response

void	update_pop_counts (const IntResponseMap &resp_map)
	append to the stack of pop counts within each of the functionSurfaces based on the active set definitions within a map of incoming responses

PRPCacheCIter	cache_lookup (const Variables &vars, int eval_id, const Response &response)
	helper to find a cached PRP record in data_pairs

PRPCacheCIter	cache_lookup (const Real *vars, size_t num_v, int eval_id, const Response &response)
	helper to find a cached PRP record in data_pairs

void	check_id (int id1, int id2)
	verify consistency between two evaluation identifiers

void	restore_data_key ()
	following Approximation::add() and Approximation::pop_count() operations, which may enumerate multiple embedded keys, restore the active approxData to the nominal key More...

void	check_singleton_key_index (size_t index)
	check on valid indices for singleton active keys

void	qoi_set_to_key_index (size_t qoi_set, size_t &key_index)
	for aggregate active keys that input a single set of data, some mapping from QoI sets to key indices may be required

void	read_challenge_points ()
	Load approximation test points from user challenge points file. More...

Private Attributes
SizetSet	approxFnIndices
	for incomplete approximation sets, this array specifies the response function subset that is approximated

SharedApproxData	sharedData
	data that is shared among all functionSurfaces

RealVectorArray	functionSurfaceCoeffs
	array of approximation coefficient vectors, one per response function

RealVector	functionSurfaceVariances
	vector of approximation variances, one value per response function

bool	trackEvalIds
	flag to activate the tracking of evaluation ids within surrogate data

String	challengeFile
	data file for user-supplied challenge data (per interface, since may contain multiple responses)

unsigned short	challengeFormat
	tabular format of the challenge points file

bool	challengeUseVarLabels
	whether to validate variable labels in header

bool	challengeActiveOnly
	whether to import active only

RealMatrix	challengePoints
	container for the challenge points data (variables only)

RealMatrix	challengeResponses
	container for the challenge points data (responses only)

Variables	actualModelVars
	copy of the actualModel variables object used to simplify conversion among differing variable views

bool	actualModelCache
	indicates usage of an evaluation cache by the actualModel

String	actualModelInterfaceId
	the interface id from the actualModel used for ordered PRPCache lookups

IntResponseMap	beforeSynchResponseMap
	bookkeeping map to catalogue responses generated in map() for use in synchronize() and synchronize_nowait(). This supports pseudo-asynchronous operations (approximate responses are always computed synchronously, but asynchronous virtual functions are supported through bookkeeping).

Static Private Attributes
static size_t	approxIdNum = 0
	counter for giving unique names to approximation interfaces

Detailed Description

Derived class within the interface class hierarchy for supporting approximations to simulation-based results.

ApproximationInterface provides an interface class for building a set of global/local/multipoint approximations and performing approximate function evaluations using them. It contains a list of Approximation objects, one for each response function.

Member Function Documentation

◆ update_approximation() [1/3]

void update_approximation	(	const Variables &	vars,
		const IntResponsePair &	response_pr
	)

protectedvirtual

This function populates/replaces each Approximation::anchorPoint with the incoming variables/response data point.

Reimplemented from Interface.

References ApproximationInterface::actualModelCache, ApproximationInterface::cache_lookup(), Dakota::data_pairs, ApproximationInterface::mixed_add(), ApproximationInterface::restore_data_key(), and ApproximationInterface::shallow_add().

◆ update_approximation() [2/3]

void update_approximation	(	const RealMatrix &	samples,
		const IntResponseMap &	resp_map
	)

protectedvirtual

This function populates/replaces each Approximation::currentPoints with the incoming variables/response arrays.

Reimplemented from Interface.

References Dakota::abort_handler(), ApproximationInterface::actualModelCache, ApproximationInterface::approxFnIndices, ApproximationInterface::cache_lookup(), Approximation::clear_active_data(), Dakota::data_pairs, ApproximationInterface::function_surface(), ApproximationInterface::mixed_add(), ApproximationInterface::restore_data_key(), and ApproximationInterface::shallow_add().

◆ update_approximation() [3/3]

void update_approximation	(	const VariablesArray &	vars_array,
		const IntResponseMap &	resp_map
	)

protectedvirtual

This function populates/replaces each Approximation::currentPoints with the incoming variables/response arrays.

Reimplemented from Interface.

References Dakota::abort_handler(), ApproximationInterface::actualModelCache, ApproximationInterface::approxFnIndices, ApproximationInterface::cache_lookup(), Approximation::clear_active_data(), Dakota::data_pairs, ApproximationInterface::function_surface(), ApproximationInterface::mixed_add(), ApproximationInterface::restore_data_key(), and ApproximationInterface::shallow_add().

◆ append_approximation() [1/4]

void append_approximation	(	const Variables &	vars,
		const IntResponsePair &	response_pr
	)

protectedvirtual

This function appends to each Approximation::currentPoints with one incoming variables/response data point.

Reimplemented from Interface.

References ApproximationInterface::actualModelCache, ApproximationInterface::cache_lookup(), Dakota::data_pairs, ApproximationInterface::mixed_add(), ApproximationInterface::restore_data_key(), ApproximationInterface::shallow_add(), and ApproximationInterface::update_pop_counts().

◆ append_approximation() [2/4]

void append_approximation	(	const RealMatrix &	samples,
		const IntResponseMap &	resp_map
	)

protectedvirtual

This function appends to each Approximation::currentPoints with multiple incoming variables/response data points.

Reimplemented from Interface.

References Dakota::abort_handler(), ApproximationInterface::actualModelCache, ApproximationInterface::cache_lookup(), Dakota::data_pairs, ApproximationInterface::mixed_add(), ApproximationInterface::restore_data_key(), ApproximationInterface::shallow_add(), and ApproximationInterface::update_pop_counts().

◆ append_approximation() [3/4]

void append_approximation	(	const VariablesArray &	vars_array,
		const IntResponseMap &	resp_map
	)

protectedvirtual

This function appends to each Approximation::currentPoints with multiple incoming variables/response data points.

Reimplemented from Interface.

References Dakota::abort_handler(), ApproximationInterface::actualModelCache, ApproximationInterface::cache_lookup(), Dakota::data_pairs, ApproximationInterface::mixed_add(), ApproximationInterface::restore_data_key(), ApproximationInterface::shallow_add(), and ApproximationInterface::update_pop_counts().

◆ append_approximation() [4/4]

void append_approximation	(	const IntVariablesMap &	vars_map,
		const IntResponseMap &	resp_map
	)

protectedvirtual

This function appends to each Approximation::currentPoints with multiple incoming variables/response data points.

Reimplemented from Interface.

References Dakota::abort_handler(), ApproximationInterface::actualModelCache, ApproximationInterface::cache_lookup(), ApproximationInterface::check_id(), Dakota::data_pairs, ApproximationInterface::mixed_add(), ApproximationInterface::restore_data_key(), ApproximationInterface::shallow_add(), and ApproximationInterface::update_pop_counts().

◆ build_approximation()

void build_approximation	(	const RealVector &	c_l_bnds,
		const RealVector &	c_u_bnds,
		const IntVector &	di_l_bnds,
		const IntVector &	di_u_bnds,
		const RealVector &	dr_l_bnds,
		const RealVector &	dr_u_bnds
	)

protectedvirtual

This function finds the coefficients for each Approximation based on the data passed through update_approximation() calls. The bounds are used only for graphics visualization.

Reimplemented from Interface.

References ApproximationInterface::approxFnIndices, Approximation::build(), SharedApproxData::build(), Approximation::challenge_diagnostics(), ApproximationInterface::challengeFile, ApproximationInterface::challengePoints, ApproximationInterface::challengeResponses, ApproximationInterface::function_surface(), Approximation::primary_diagnostics(), ApproximationInterface::read_challenge_points(), SharedApproxData::set_bounds(), and ApproximationInterface::sharedData.

◆ export_approximation()

void export_approximation ( )

protectedvirtual

This function calls export on each approximation

Reimplemented from Interface.

References ApproximationInterface::approxFnIndices, Approximation::export_model(), and ApproximationInterface::function_surface().

◆ rebuild_approximation()

void rebuild_approximation ( const BitArray & rebuild_fns )

protectedvirtual

This function updates the coefficients for each Approximation based on data increments provided by {update,append}_approximation().

Reimplemented from Interface.

References ApproximationInterface::approxFnIndices, ApproximationInterface::function_surface(), Approximation::rebuild(), SharedApproxData::rebuild(), and ApproximationInterface::sharedData.

◆ pop_approximation()

void pop_approximation ( bool save_data )

inlineprotectedvirtual

This function removes data provided by a previous append_approximation() call, possibly different numbers for each function, or as specified in pop_count, which is assumed to be the same for all functions.

Reimplemented from Interface.

References ApproximationInterface::approxFnIndices, ApproximationInterface::function_surface(), SharedApproxData::pop(), Approximation::pop_coefficients(), Approximation::pop_data(), and ApproximationInterface::sharedData.

◆ push_approximation()

void push_approximation ( )

inlineprotectedvirtual

This function updates the coefficients for each Approximation based on data increments provided by {update,append}_approximation().

Reimplemented from Interface.

References ApproximationInterface::approxFnIndices, ApproximationInterface::function_surface(), SharedApproxData::post_push(), SharedApproxData::pre_push(), Approximation::push_coefficients(), Approximation::push_data(), and ApproximationInterface::sharedData.

◆ restore_data_key()

void restore_data_key ( )

inlineprivate

following Approximation::add() and Approximation::pop_count() operations, which may enumerate multiple embedded keys, restore the active approxData to the nominal key

Restore active key in approxData using shared key.

References SharedApproxData::active_model_key(), Approximation::active_model_key(), ApproximationInterface::approxFnIndices, ApproximationInterface::function_surface(), ApproximationInterface::sharedData, and Approximation::surrogate_data().

Referenced by ApproximationInterface::append_approximation(), and ApproximationInterface::update_approximation().

◆ read_challenge_points()

void read_challenge_points ( )

private

Load approximation test points from user challenge points file.

Challenge data defaults to active/inactive, but user can override to active only.

References ApproximationInterface::actualModelVars, ApproximationInterface::challengeActiveOnly, ApproximationInterface::challengeFile, ApproximationInterface::challengeFormat, ApproximationInterface::challengePoints, ApproximationInterface::challengeResponses, ApproximationInterface::challengeUseVarLabels, Variables::copy(), Interface::interface_id(), and Interface::outputLevel.

Referenced by ApproximationInterface::build_approximation().

Member Data Documentation

◆ functionSurfaces

std::vector<Approximation> functionSurfaces

protected

list of approximations, one per response function

This formulation allows the use of mixed approximations (i.e., different approximations used for different response functions), although the input specification is not currently general enough to support it.

Referenced by ApproximationFieldInterface::ApproximationFieldInterface(), ApproximationInterface::ApproximationInterface(), ApproximationInterface::approximations(), ApproximationInterface::function_surface(), and ApproximationFieldInterface::function_surface().

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

ApproximationInterface.hpp
ApproximationInterface.cpp

Public Member Functions

Protected Member Functions

Protected Attributes

Private Member Functions

Private Attributes

Static Private Attributes

Detailed Description

Member Function Documentation

◆ update_approximation() [1/3]

◆ update_approximation() [2/3]

◆ update_approximation() [3/3]

◆ append_approximation() [1/4]

◆ append_approximation() [2/4]

◆ append_approximation() [3/4]

◆ append_approximation() [4/4]

◆ build_approximation()

◆ export_approximation()

◆ rebuild_approximation()

◆ pop_approximation()

◆ push_approximation()

◆ restore_data_key()

◆ read_challenge_points()

Member Data Documentation

◆ functionSurfaces