Class Coefficients

java.lang.Object

org.mariuszgromada.math.mxparser.mathcollection.Coefficients

final class Coefficients
extends Object

Coefficients - various coefficients supporting numerical computation.

Version:

5.0.0

Field Summary

Fields

Modifier and Type	Field	Description
(package private) static final double[]	EI	Supporting function while Exponential integral function Ei(x) calculation
(package private) static final double[]	erfImpAd	Polynomial coefficients for adenominator of erfImp calculation for erf(x) in the interval [1e-10, 0.5].
(package private) static final double[]	erfImpAn	Polynomial coefficients for a numerator of erfImp calculation for erf(x) in the interval [1e-10, 0.5].
(package private) static final double[]	erfImpBd	Polynomial coefficients for a denominator in erfImp calculation for erfc(x) in the interval [0.5, 0.75].
(package private) static final double[]	erfImpBn	Polynomial coefficients for a numerator in erfImp calculation for erfc(x) in the interval [0.5, 0.75].
(package private) static final double[]	erfImpCd	Polynomial coefficients for a denominator in erfImp calculation for erfc(x) in the interval [0.75, 1.25].
(package private) static final double[]	erfImpCn	Polynomial coefficients for a numerator in erfImp calculation for erfc(x) in the interval [0.75, 1.25].
(package private) static final double[]	erfImpDd	Polynomial coefficients for a denominator in erfImp calculation for erfc(x) in the interval [1.25, 2.25].
(package private) static final double[]	erfImpDn	Polynomial coefficients for a numerator in erfImp calculation for erfc(x) in the interval [1.25, 2.25].
(package private) static final double[]	erfImpEd	Polynomial coefficients for a denominator in erfImp calculation for erfc(x) in the interval [2.25, 3.5].
(package private) static final double[]	erfImpEn	Polynomial coefficients for a numerator in erfImp calculation for erfc(x) in the interval [2.25, 3.5].
(package private) static final double[]	erfImpFd	Polynomial coefficients for a denominator in erfImp calculation for erfc(x) in the interval [3.5, 5.25].
(package private) static final double[]	erfImpFn	Polynomial coefficients for a numerator in erfImp calculation for erfc(x) in the interval [3.5, 5.25].
(package private) static final double[]	erfImpGd	Polynomial coefficients for a denominator in erfImp calculation for erfc(x) in the interval [5.25, 8].
(package private) static final double[]	erfImpGn	Polynomial coefficients for a numerator in erfImp calculation for erfc(x) in the interval [5.25, 8].
(package private) static final double[]	erfImpHd	Polynomial coefficients for a denominator in erfImp calculation for erfc(x) in the interval [8, 11.5].
(package private) static final double[]	erfImpHn	Polynomial coefficients for a numerator in erfImp calculation for erfc(x) in the interval [8, 11.5].
(package private) static final double[]	erfImpId	Polynomial coefficients for a denominator in erfImp calculation for erfc(x) in the interval [11.5, 17].
(package private) static final double[]	erfImpIn	Polynomial coefficients for a numerator in erfImp calculation for erfc(x) in the interval [11.5, 17].
(package private) static final double[]	erfImpJd	Polynomial coefficients for a denominator in erfImp calculation for erfc(x) in the interval [17, 24].
(package private) static final double[]	erfImpJn	Polynomial coefficients for a numerator in erfImp calculation for erfc(x) in the interval [17, 24].
(package private) static final double[]	erfImpKd	Polynomial coefficients for a denominator in erfImp calculation for erfc(x) in the interval [24, 38].
(package private) static final double[]	erfImpKn	Polynomial coefficients for a numerator in erfImp calculation for erfc(x) in the interval [24, 38].
(package private) static final double[]	erfImpLd	Polynomial coefficients for a denominator in erfImp calculation for erfc(x) in the interval [38, 60].
(package private) static final double[]	erfImpLn	Polynomial coefficients for a numerator in erfImp calculation for erfc(x) in the interval [38, 60].
(package private) static final double[]	erfImpMd	Polynomial coefficients for a denominator in erfImp calculation for erfc(x) in the interval [60, 85].
(package private) static final double[]	erfImpMn	Polynomial coefficients for a numerator in erfImp calculation for erfc(x) in the interval [60, 85].
(package private) static final double[]	erfImpNd	Polynomial coefficients for a denominator in erfImp calculation for erfc(x) in the interval [85, 110].
(package private) static final double[]	erfImpNn	Polynomial coefficients for a numerator in erfImp calculation for erfc(x) in the interval [85, 110].
(package private) static final double[]	ervInvImpAd	Polynomial coefficients for a denominator of erfInvImp calculation for erf^-1(z) in the interval [0, 0.5].
(package private) static final double[]	ervInvImpAn	Polynomial coefficients for a numerator of erfInvImp calculation for erf^-1(z) in the interval [0, 0.5].
(package private) static final double[]	ervInvImpBd	Polynomial coefficients for a denominator of erfInvImp calculation for erf^-1(z) in the interval [0.5, 0.75].
(package private) static final double[]	ervInvImpBn	Polynomial coefficients for a numerator of erfInvImp calculation for erf^-1(z) in the interval [0.5, 0.75].
(package private) static final double[]	ervInvImpCd	Polynomial coefficients for a denominator of erfInvImp calculation for erf^-1(z) in the interval [0.75, 1] with x less than 3.
(package private) static final double[]	ervInvImpCn	Polynomial coefficients for a numerator of erfInvImp calculation for erf^-1(z) in the interval [0.75, 1] with x less than 3.
(package private) static final double[]	ervInvImpDd	Polynomial coefficients for a denominator of erfInvImp calculation for erf^-1(z) in the interval [0.75, 1] with x between 3 and 6.
(package private) static final double[]	ervInvImpDn	Polynomial coefficients for a numerator of erfInvImp calculation for erf^-1(z) in the interval [0.75, 1] with x between 3 and 6.
(package private) static final double[]	ervInvImpEd	Polynomial coefficients for a denominator of erfInvImp calculation for erf^-1(z) in the interval [0.75, 1] with x between 6 and 18.
(package private) static final double[]	ervInvImpEn	Polynomial coefficients for a numerator of erfInvImp calculation for erf^-1(z) in the interval [0.75, 1] with x between 6 and 18.
(package private) static final double[]	ervInvImpFd	Polynomial coefficients for a denominator of erfInvImp calculation for erf^-1(z) in the interval [0.75, 1] with x between 18 and 44.
(package private) static final double[]	ervInvImpFn	Polynomial coefficients for a numerator of erfInvImp calculation for erf^-1(z) in the interval [0.75, 1] with x between 18 and 44.
(package private) static final double[]	ervInvImpGd	Polynomial coefficients for a denominator of erfInvImp calculation for erf^-1(z) in the interval [0.75, 1] with x greater than 44.
(package private) static final double[]	ervInvImpGn	Polynomial coefficients for a numerator of erfInvImp calculation for erf^-1(z) in the interval [0.75, 1] with x greater than 44.
(package private) static final double[]	lambertWqNearZero	Coefficients for Lambert W function, series for q near zero
(package private) static final double[]	lanchosGamma	Coefficients for Lanchos Gamma function approximation
(package private) static final double[]	logGammaA	Coefficients for Log Gamma function approximation - A
(package private) static final double[]	logGammaB	Coefficients for Log Gamma function approximation - B
(package private) static final double[]	logGammaC	Coefficients for Log Gamma function approximation - C

Constructor Summary

Constructors

Constructor	Description
Coefficients()

Method Summary

Methods inherited from class Object

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

Field Details

erfImpAn

static final double[] erfImpAn

Polynomial coefficients for a numerator of erfImp calculation for erf(x) in the interval [1e-10, 0.5].

erfImpAd

static final double[] erfImpAd

Polynomial coefficients for adenominator of erfImp calculation for erf(x) in the interval [1e-10, 0.5].

erfImpBn

static final double[] erfImpBn

Polynomial coefficients for a numerator in erfImp calculation for erfc(x) in the interval [0.5, 0.75].

erfImpBd

static final double[] erfImpBd

Polynomial coefficients for a denominator in erfImp calculation for erfc(x) in the interval [0.5, 0.75].

erfImpCn

static final double[] erfImpCn

Polynomial coefficients for a numerator in erfImp calculation for erfc(x) in the interval [0.75, 1.25].

erfImpCd

static final double[] erfImpCd

Polynomial coefficients for a denominator in erfImp calculation for erfc(x) in the interval [0.75, 1.25].

erfImpDn

static final double[] erfImpDn

Polynomial coefficients for a numerator in erfImp calculation for erfc(x) in the interval [1.25, 2.25].

erfImpDd

static final double[] erfImpDd

Polynomial coefficients for a denominator in erfImp calculation for erfc(x) in the interval [1.25, 2.25].

erfImpEn

static final double[] erfImpEn

Polynomial coefficients for a numerator in erfImp calculation for erfc(x) in the interval [2.25, 3.5].

erfImpEd

static final double[] erfImpEd

Polynomial coefficients for a denominator in erfImp calculation for erfc(x) in the interval [2.25, 3.5].

erfImpFn

static final double[] erfImpFn

Polynomial coefficients for a numerator in erfImp calculation for erfc(x) in the interval [3.5, 5.25].

erfImpFd

static final double[] erfImpFd

Polynomial coefficients for a denominator in erfImp calculation for erfc(x) in the interval [3.5, 5.25].

erfImpGn

static final double[] erfImpGn

Polynomial coefficients for a numerator in erfImp calculation for erfc(x) in the interval [5.25, 8].

erfImpGd

static final double[] erfImpGd

Polynomial coefficients for a denominator in erfImp calculation for erfc(x) in the interval [5.25, 8].

erfImpHn

static final double[] erfImpHn

Polynomial coefficients for a numerator in erfImp calculation for erfc(x) in the interval [8, 11.5].

erfImpHd

static final double[] erfImpHd

Polynomial coefficients for a denominator in erfImp calculation for erfc(x) in the interval [8, 11.5].

erfImpIn

static final double[] erfImpIn

Polynomial coefficients for a numerator in erfImp calculation for erfc(x) in the interval [11.5, 17].

erfImpId

static final double[] erfImpId

Polynomial coefficients for a denominator in erfImp calculation for erfc(x) in the interval [11.5, 17].

erfImpJn

static final double[] erfImpJn

Polynomial coefficients for a numerator in erfImp calculation for erfc(x) in the interval [17, 24].

erfImpJd

static final double[] erfImpJd

Polynomial coefficients for a denominator in erfImp calculation for erfc(x) in the interval [17, 24].

erfImpKn

static final double[] erfImpKn

Polynomial coefficients for a numerator in erfImp calculation for erfc(x) in the interval [24, 38].

erfImpKd

static final double[] erfImpKd

Polynomial coefficients for a denominator in erfImp calculation for erfc(x) in the interval [24, 38].

erfImpLn

static final double[] erfImpLn

Polynomial coefficients for a numerator in erfImp calculation for erfc(x) in the interval [38, 60].

erfImpLd

static final double[] erfImpLd

Polynomial coefficients for a denominator in erfImp calculation for erfc(x) in the interval [38, 60].

erfImpMn

static final double[] erfImpMn

Polynomial coefficients for a numerator in erfImp calculation for erfc(x) in the interval [60, 85].

erfImpMd

static final double[] erfImpMd

Polynomial coefficients for a denominator in erfImp calculation for erfc(x) in the interval [60, 85].

erfImpNn

static final double[] erfImpNn

Polynomial coefficients for a numerator in erfImp calculation for erfc(x) in the interval [85, 110].

erfImpNd

static final double[] erfImpNd

Polynomial coefficients for a denominator in erfImp calculation for erfc(x) in the interval [85, 110].

ervInvImpAn

static final double[] ervInvImpAn

Polynomial coefficients for a numerator of erfInvImp calculation for erf^-1(z) in the interval [0, 0.5].

ervInvImpAd

static final double[] ervInvImpAd

Polynomial coefficients for a denominator of erfInvImp calculation for erf^-1(z) in the interval [0, 0.5].

ervInvImpBn

static final double[] ervInvImpBn

Polynomial coefficients for a numerator of erfInvImp calculation for erf^-1(z) in the interval [0.5, 0.75].

ervInvImpBd

static final double[] ervInvImpBd

Polynomial coefficients for a denominator of erfInvImp calculation for erf^-1(z) in the interval [0.5, 0.75].

ervInvImpCn

static final double[] ervInvImpCn

Polynomial coefficients for a numerator of erfInvImp calculation for erf^-1(z) in the interval [0.75, 1] with x less than 3.

ervInvImpCd

static final double[] ervInvImpCd

Polynomial coefficients for a denominator of erfInvImp calculation for erf^-1(z) in the interval [0.75, 1] with x less than 3.

ervInvImpDn

static final double[] ervInvImpDn

Polynomial coefficients for a numerator of erfInvImp calculation for erf^-1(z) in the interval [0.75, 1] with x between 3 and 6.

ervInvImpDd

static final double[] ervInvImpDd

Polynomial coefficients for a denominator of erfInvImp calculation for erf^-1(z) in the interval [0.75, 1] with x between 3 and 6.

ervInvImpEn

static final double[] ervInvImpEn

Polynomial coefficients for a numerator of erfInvImp calculation for erf^-1(z) in the interval [0.75, 1] with x between 6 and 18.

ervInvImpEd

static final double[] ervInvImpEd

Polynomial coefficients for a denominator of erfInvImp calculation for erf^-1(z) in the interval [0.75, 1] with x between 6 and 18.

ervInvImpFn

static final double[] ervInvImpFn

Polynomial coefficients for a numerator of erfInvImp calculation for erf^-1(z) in the interval [0.75, 1] with x between 18 and 44.

ervInvImpFd

static final double[] ervInvImpFd

Polynomial coefficients for a denominator of erfInvImp calculation for erf^-1(z) in the interval [0.75, 1] with x between 18 and 44.

ervInvImpGn

static final double[] ervInvImpGn

Polynomial coefficients for a numerator of erfInvImp calculation for erf^-1(z) in the interval [0.75, 1] with x greater than 44.

ervInvImpGd

static final double[] ervInvImpGd

Polynomial coefficients for a denominator of erfInvImp calculation for erf^-1(z) in the interval [0.75, 1] with x greater than 44.

EI

static final double[] EI

Supporting function while Exponential integral function Ei(x) calculation

lanchosGamma

static final double[] lanchosGamma

Coefficients for Lanchos Gamma function approximation

logGammaA

static final double[] logGammaA

Coefficients for Log Gamma function approximation - A

logGammaB

static final double[] logGammaB

Coefficients for Log Gamma function approximation - B

logGammaC

static final double[] logGammaC

Coefficients for Log Gamma function approximation - C

lambertWqNearZero

static final double[] lambertWqNearZero

Coefficients for Lambert W function, series for q near zero

Constructor Details

Coefficients

Coefficients()