Package org.sunflow.math

Class QMC

java.lang.Object

org.sunflow.math.QMC

public final class QMC
extends java.lang.Object

Field Summary

Fields

Modifier and Type	Field	Description
private static int[]	FIBONACCI
private static double[]	FIBONACCI_INV
private static double[]	KOROBOV
static int	MAX_SIGMA_ORDER
private static int	NUM
private static int[]	PRIMES
private static int[][]	SIGMA

Constructor Summary

Constructors

Modifier	Constructor	Description
private	QMC()

Method Summary

Modifier and Type	Method	Description
static int	fibonacci(int k)
static double	fibonacciLattice(int k, int i, int d)
static int	getFibonacciRank(int n)
static double	halton(int d, int i)
static double	korobovLattice(int m, int i, int d)
static double	mod1(double x)	Compute mod(x,1), assuming that x is positive or 0.
private static int	nextPrime(int p)
static double	reducedCPRotation(int k, int d, double x0, double x1)
static double	riLP(int i, int r)
static double	riS(int i, int r)
static double	riVDC(int bits, int r)
static int	sigma(int i, int order)	Compute sigma function used to seed QMC sequence trees.

Methods inherited from class java.lang.Object

clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

Field Detail

MAX_SIGMA_ORDER

public static final int MAX_SIGMA_ORDER

See Also:

Constant Field Values

NUM

private static final int NUM

See Also:

Constant Field Values

SIGMA

private static final int[][] SIGMA

PRIMES

private static final int[] PRIMES

FIBONACCI

private static final int[] FIBONACCI

FIBONACCI_INV

private static final double[] FIBONACCI_INV

KOROBOV

private static final double[] KOROBOV

Constructor Detail

QMC

private QMC()

Method Detail

nextPrime

private static final int nextPrime(int p)

riVDC

public static double riVDC(int bits,
                           int r)

riS

public static double riS(int i,
                         int r)

riLP

public static double riLP(int i,
                          int r)

halton

public static final double halton(int d,
                                  int i)

mod1

public static final double mod1(double x)

Compute mod(x,1), assuming that x is positive or 0.

Parameters:

x - any number >= 0

Returns:

mod(x,1)

sigma

public static final int sigma(int i,
                              int order)

Compute sigma function used to seed QMC sequence trees. The sigma table is exactly 2^order elements long, and therefore i should be in the: [0, 2^order) interval. This function is equal to 2^order*halton(0,i)

Parameters:

i - index

order -

Returns:

sigma function

getFibonacciRank

public static final int getFibonacciRank(int n)

fibonacci

public static final int fibonacci(int k)

fibonacciLattice

public static final double fibonacciLattice(int k,
                                            int i,
                                            int d)

reducedCPRotation

public static final double reducedCPRotation(int k,
                                             int d,
                                             double x0,
                                             double x1)

korobovLattice

public static final double korobovLattice(int m,
                                          int i,
                                          int d)