Class LambertWHelper

java.lang.Object

org.apfloat.LambertWHelper

class LambertWHelper
extends Object

Helper class for Lambert W function.

Since:

1.8.0

Version:

1.10.0

Nested Class Summary

Nested Classes

Modifier and Type	Class	Description
private static class	LambertWHelper.ComplexException

Field Summary

Fields

Modifier and Type	Field	Description
private static final double	BRANCH_POINT_BEYOND
private boolean	close
private Apfloat	e
private long	k
private Apint	minusOne
private Apfloat	minusOnePerE
private Apint	one
private Apcomplex	p
private long	precision
private int	radix
private long	targetPrecision
private Apint	three
private Apint	two
private Apfloat	twoPi
private Apfloat	twoPiK
private Apfloat	x
private Apcomplex	z

Constructor Summary

Constructors

Modifier	Constructor	Description
private	LambertWHelper(Apcomplex z, long k)

Method Summary

Modifier and Type	Method	Description
Apcomplex	complex()
private Apcomplex	complexSeries(Apcomplex p)
private Apfloat	doReal()
private Apfloat	e(long precision)
private Apcomplex	fixLogBranch(Apcomplex next, Apcomplex previous)
private Apcomplex	log(Apcomplex z)
private Apcomplex	logApprox(Apcomplex z)
private Apcomplex	negativeComplexSeries()
private Apfloat	negativeRealSeries()
private Apcomplex	p()
private Apcomplex	positiveComplexSeries()
private Apfloat	positiveRealSeries()
Apfloat	real()
private Apfloat	realSeries(Apcomplex p)
private long	shiftLeftPrecision(long precision, int i)
private long	shiftLeftPrecision(long precision, int i, long add)
private Apfloat	twoPi()
private Apfloat	twoPiK()
static Apcomplex	w(Apcomplex z)
static Apcomplex	w(Apcomplex z, long k)
static Apfloat	w(Apfloat x)

Methods inherited from class Object

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

Field Details

BRANCH_POINT_BEYOND

private static final double BRANCH_POINT_BEYOND

See Also:

• Constant Field Values

x

private Apfloat x

z

private Apcomplex z

radix

private int radix

precision

private long precision

targetPrecision

private long targetPrecision

k

private long k

close

private boolean close

minusOne

private Apint minusOne

one

private Apint one

two

private Apint two

three

private Apint three

twoPi

private Apfloat twoPi

twoPiK

private Apfloat twoPiK

e

private Apfloat e

minusOnePerE

private Apfloat minusOnePerE

p

private Apcomplex p

Constructor Details

LambertWHelper

private LambertWHelper(Apcomplex z,
 long k)

Method Details

w

public static Apfloat w(Apfloat x)
                 throws ArithmeticException,
ApfloatRuntimeException

Throws:

ArithmeticException

ApfloatRuntimeException

w

public static Apcomplex w(Apcomplex z)
                   throws ArithmeticException,
ApfloatRuntimeException

Throws:

ArithmeticException

ApfloatRuntimeException

w

public static Apcomplex w(Apcomplex z,
 long k)
                   throws ArithmeticException,
ApfloatRuntimeException

Throws:

ArithmeticException

ApfloatRuntimeException

real

public Apfloat real()
             throws ArithmeticException,
ApfloatRuntimeException

Throws:

ArithmeticException

ApfloatRuntimeException

doReal

private Apfloat doReal()
                throws LambertWHelper.ComplexException,
ApfloatRuntimeException

Throws:

LambertWHelper.ComplexException

ApfloatRuntimeException

complex

public Apcomplex complex()
                  throws ArithmeticException,
ApfloatRuntimeException

Throws:

ArithmeticException

ApfloatRuntimeException

log

private Apcomplex log(Apcomplex z)
               throws ArithmeticException,
ApfloatRuntimeException

Throws:

ArithmeticException

ApfloatRuntimeException

logApprox

private Apcomplex logApprox(Apcomplex z)
                     throws ArithmeticException,
ApfloatRuntimeException

Throws:

ArithmeticException

ApfloatRuntimeException

p

private Apcomplex p()
             throws ApfloatRuntimeException

Throws:

ApfloatRuntimeException

positiveRealSeries

private Apfloat positiveRealSeries()
                            throws LambertWHelper.ComplexException,
ApfloatRuntimeException

Throws:

LambertWHelper.ComplexException

ApfloatRuntimeException

negativeRealSeries

private Apfloat negativeRealSeries()
                            throws LambertWHelper.ComplexException,
ApfloatRuntimeException

Throws:

LambertWHelper.ComplexException

ApfloatRuntimeException

positiveComplexSeries

private Apcomplex positiveComplexSeries()
                                 throws ApfloatRuntimeException

Throws:

ApfloatRuntimeException

negativeComplexSeries

private Apcomplex negativeComplexSeries()
                                 throws ApfloatRuntimeException

Throws:

ApfloatRuntimeException

realSeries

private Apfloat realSeries(Apcomplex p)
                    throws LambertWHelper.ComplexException,
ApfloatRuntimeException

Throws:

LambertWHelper.ComplexException

ApfloatRuntimeException

complexSeries

private Apcomplex complexSeries(Apcomplex p)
                         throws ApfloatRuntimeException

Throws:

ApfloatRuntimeException

shiftLeftPrecision

private long shiftLeftPrecision(long precision,
 int i)

shiftLeftPrecision

private long shiftLeftPrecision(long precision,
 int i,
 long add)

fixLogBranch

private Apcomplex fixLogBranch(Apcomplex next,
 Apcomplex previous)
                        throws ApfloatRuntimeException

Throws:

ApfloatRuntimeException

twoPi

private Apfloat twoPi()
               throws ApfloatRuntimeException

Throws:

ApfloatRuntimeException

twoPiK

private Apfloat twoPiK()
                throws ApfloatRuntimeException

Throws:

ApfloatRuntimeException

e

private Apfloat e(long precision)
           throws ApfloatRuntimeException

Throws:

ApfloatRuntimeException