jsat.math

Class ContinuedFraction

java.lang.Object

jsat.math.ContinuedFraction

public abstract class ContinuedFraction
extends Object

This class provides a means to represent and evaluate continued fractions in a multitude of ways.

Author:

Edward Raff

Constructor Summary

Constructors

Constructor and Description
ContinuedFraction()

Method Summary

Modifier and Type	Method and Description
double	backwardNaive(int n, double... args) Approximates the continued fraction using a naive approximation
abstract double	getA(int pos, double... args) The a term of a continued fraction is the value that occurs as one of the numerators, an its depth starts at 1.
abstract double	getB(int pos, double... args) The b term of a continued fraction is the value that is added to the continuing fraction, its depth starts at 0.
double	lentz(double... args) Uses Thompson and Barnett's modified Lentz's algorithm create an approximation that should be accurate to full precision.

Methods inherited from class java.lang.Object

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

Constructor Detail

ContinuedFraction

public ContinuedFraction()

Method Detail

getA

public abstract double getA(int pos,
                            double... args)

The a term of a continued fraction is the value that occurs as one of the numerators, an its depth starts at 1.

Parameters:

pos - the depth of the continued fraction to evaluate at

args - the values for the variables of the continued fraction

Returns:

the value that would be computed for the a coefficient at the specified depth of the fraction

getB

public abstract double getB(int pos,
                            double... args)

The b term of a continued fraction is the value that is added to the continuing fraction, its depth starts at 0.

Parameters:

pos - the depth of the continued fraction to evaluate at

args - the values for the variables of the continued fraction

Returns:

the value that would be computed for the b coefficient at the specified depth of the fraction

backwardNaive

public double backwardNaive(int n,
                            double... args)

Approximates the continued fraction using a naive approximation

Parameters:

n - the number of iterations to perform

args - the values to input for the variables of the continued fraction

Returns:

an approximation of the value of the continued fraciton

lentz

public double lentz(double... args)

Uses Thompson and Barnett's modified Lentz's algorithm create an approximation that should be accurate to full precision.

Parameters:

args - the numeric inputs to the continued fraction

Returns:

the approximate value of the continued fraction