Abstract class for low-discrepancy sequences. More...

Inheritance diagram for LowDiscrepancySequence:

Public Member Functions
	LowDiscrepancySequence (int mMax, int dMax, int seedValue, short outputLevel)
	Default constructor. More...

void	get_points (RealMatrix &points)
	Get points from this low-discrepancy generator This function will store the points in-place in the matrix `points` Each column of `points` contains a `dimension`-dimensional point where `dimension` is equal to the number of rows of `points` and the number of points is equal to the number of columns of `points`

void	get_points (const size_t n, RealMatrix &points)
	Get the first `n` points from this low-discrepancy generator This function will store the points in-place in the matrix `points` Each column of `points` contains a `dimension`-dimensional point where `dimension` is equal to the number of rows of `points`

void	get_points (const size_t nMin, const size_t nMax, RealMatrix &points)
	Generates low-discrepancy points between given indices Returns the points with index `nMin`, `nMin` + 1, ..., `nMax` - 1 This function will store the points in-place in the matrix `points` Each column of `points` contains a `dimension`-dimensional point. More...

virtual void	randomize ()=0
	Randomize this low-discrepancy sequence NOTE: this function is required by `NonDLowDiscrepancySampling` for generating unique samples.

Protected Member Functions
void	check_sizes (const size_t nMin, const size_t nMax, RealMatrix &points)
	Perform checks on the matrix `points` Each column of `points` contains a `dimension`-dimensional point where `dimension` is equal to the number of rows of `points` The number of points `numPoints` is `nMax` - `nMin` Checks if the requested number of points `numPoints` exceeds the maximum number of points allowed in this low-discrepancy sequence Checks if the number of rows of the matrix `points` exceeds the maximum dimension allowed in this low-discrepancy sequence Checks if the matrix `points` has `numPoints` columns. More...

virtual void	unsafe_get_points (const size_t nMin, const size_t nMax, RealMatrix &points)=0
	Generate points from this low-discrepancy sequence.

Protected Attributes
int	dMax
	Maximum dimension of this low-discrepancy sequence.

int	mMax
	`log2` of the maximum number of points of this low-discrepancy sequence More...

int	seedValue
	The seed of this low-discrepancy sequence.

short	outputLevel
	The output verbosity level, can be one of {SILENT, QUIET, NORMAL, VERBOSE, DEBUG}_OUTPUT.

Private Member Functions
void	check_dMax ()
	Perform checks on dMax Checks if dMax is positive (> 0)

void	check_mMax ()
	Perform checks on mMax Checks if mMax is positive (> 0)

void	check_seedValue ()
	Perform checks on seedValue Checks if seedValue is positive or zero (>= 0)

Detailed Description

Abstract class for low-discrepancy sequences.

This abstract class provides uniform access to all low-discrepancy sequences through the get_points function.

Derived classes must provide implementations for the private virtual method unsafe_get_points(nMin, nMax, points) and the public virtual method randomize()

Constructor & Destructor Documentation

◆ LowDiscrepancySequence()

LowDiscrepancySequence	(	int	mMax,
		int	dMax,
		int	seedValue,
		short	outputLevel
	)

inline

Default constructor.

Check inputs in separate functions so that they can be overriden in a derived class to print more useful error messages

References LowDiscrepancySequence::check_dMax(), LowDiscrepancySequence::check_mMax(), and LowDiscrepancySequence::check_seedValue().

Member Function Documentation

◆ get_points()

void get_points	(	const size_t	nMin,
		const size_t	nMax,
		RealMatrix &	points
	)

inline

Generates low-discrepancy points between given indices Returns the points with index nMin, nMin + 1, ..., nMax - 1 This function will store the points in-place in the matrix points Each column of points contains a dimension-dimensional point.

Check sizes of the matrix points

Get the low-discrepancy points

Print summary info

References LowDiscrepancySequence::check_sizes(), LowDiscrepancySequence::outputLevel, and LowDiscrepancySequence::unsafe_get_points().

◆ check_sizes()

void check_sizes	(	const size_t	nMin,
		const size_t	nMax,
		RealMatrix &	points
	)

inlineprotected

Perform checks on the matrix points Each column of points contains a dimension-dimensional point where dimension is equal to the number of rows of points The number of points numPoints is nMax - nMin Checks if the requested number of points numPoints exceeds the maximum number of points allowed in this low-discrepancy sequence Checks if the number of rows of the matrix points exceeds the maximum dimension allowed in this low-discrepancy sequence Checks if the matrix points has numPoints columns.

Check if maximum number of points is exceeded

Check if maximum dimension is exceeded

Check number of columns of points

References Dakota::abort_handler(), LowDiscrepancySequence::dMax, and LowDiscrepancySequence::mMax.

Referenced by LowDiscrepancySequence::get_points().

Member Data Documentation

◆ mMax

int mMax

protected

log2 of the maximum number of points of this low-discrepancy sequence

For rank-1 lattices, this is also the length of the generating vector
For digital nets, this is also the number of columns of each generating matrix

Referenced by LowDiscrepancySequence::check_mMax(), LowDiscrepancySequence::check_sizes(), DigitalNet::DigitalNet(), Rank1Lattice::Rank1Lattice(), and DigitalNet::scramble().

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

LowDiscrepancySequence.hpp

Public Member Functions

Protected Member Functions

Protected Attributes

Private Member Functions