ldsgen::VdCorput Class Reference

Van der Corput sequence generator. More...

#include <lds.hpp>

Inheritance diagram for ldsgen::VdCorput:

Collaboration diagram for ldsgen::VdCorput:

Public Member Functions
	VdCorput (const unsigned long base)
	Construct a new VdCorput object.
auto	value_at (unsigned long n) const -> double
	Evaluate the sequence value at a given index (pure, no state change)
Public Member Functions inherited from ldsgen::GeneratorIterable< VdCorput, double >
auto	begin () -> GeneratorIterator< VdCorput, double >
	Get iterator to beginning.
auto	end () const -> GeneratorIterator< VdCorput, double >
	Get iterator to end (infinite sequence)
Public Member Functions inherited from ldsgen::GeneratorBase< Derived, Value >
auto	pop () -> Value
	Generate the next value in the sequence (advances state).
auto	peek () -> Value
	Peek at the next value without advancing state.
auto	skip (unsigned int n) -> void
	Skip n values in the sequence.
auto	reseed (const unsigned long &seed) -> void
	Reset the generator to a specific seed value.
auto	get_index () const -> unsigned long
	Get current index in the sequence.

Additional Inherited Members
Protected Attributes inherited from ldsgen::GeneratorBase< Derived, Value >
std::atomic< unsigned long >	count_ {0}
	Current sequence index (single source of state)

Detailed Description

Van der Corput sequence generator.

VdCorput is a class that generates the Van der Corput sequence. The Van der Corput sequence is a low-discrepancy sequence that is commonly used in quasi-Monte Carlo methods. The sequence is generated by iterating over a base and calculating the fractional part of the number in that base. The VdCorput class keeps track of the current count and base, and provides a pop() method that returns the next value in the sequence.

*     VdCorput(2) sequence:
*     pop() -> 0.5   (0.1 base 2)
*     pop() -> 0.25  (0.01 base 2)
*     pop() -> 0.75  (0.11 base 2)
*     pop() -> 0.125 (0.001 base 2)
*     ...
* 

Constructor & Destructor Documentation

VdCorput()

ldsgen::VdCorput::VdCorput ( const unsigned long  base )

inlineexplicit

Construct a new VdCorput object.

The VdCorput(unsigned long base) constructor is initializing a VdCorput object with a given base. The base is used to generate the Van der Corput sequence.

Parameters

[in]

base

the base of the Van der Corput sequence

Member Function Documentation

value_at()

auto ldsgen::VdCorput::value_at ( unsigned long  n ) const -> double

inline

Evaluate the sequence value at a given index (pure, no state change)

Computes the Van der Corput value for index \(n\): \( \phi_b(n) = \sum_{k=0}^{\infty} a_k(n) \, b^{-k-1} \) where \( a_k(n) \) are the base- \( b \) digits of \( n \).

Parameters

[in]

n

The sequence index.

Returns

The Van der Corput value for index n.

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

• ldsgen/lds.hpp