jphase
Class SuperErlang

java.lang.Object
  jphase.SuperErlang

All Implemented Interfaces:

java.io.Serializable

public class SuperErlang
extends java.lang.Object
implements java.io.Serializable

See Also:

Serialized Form

Field Summary

static SuperErlang

ONE The number one (1)

Constructor Summary

SuperErlang()
f(x) = 0.0

SuperErlang(double cf, int n, double lbd)
f(x) = cf E(n,lbd)

SuperErlang(Term trm)
f(x) = t

Method Summary

SuperErlang	addTerm(double coeff, int power, double lmb)
SuperErlang	addTerm(Term tr)
java.lang.Object	clone() Clones this function
static SuperErlang	convolution(SuperErlang f1, SuperErlang f2) Return the convolution of this two functions
double	defIntegrate() Returns the integral from 0 to infinity of this function.
double	defIntegrate(double x) Returns the definite integral from 0 to x of this function
SuperErlang	derive() Rturns the derivative at t of this function.
protected double	exp()
SuperErlang	expand(double a) Evaluates f(t) at a*t.
SuperErlang	integrate() Rturns the integral from 0 to t of this function.
SuperErlang	integrateCom() Rturns the integral from t to infinity of this function.
boolean	isZero() Detrmines whethr this function is identically equal to 0
protected double	moment(int k)
SuperErlang	move(double a) Evaluates the function at t+a
SuperErlang	multiply(SuperErlang f2) Multiply the function f2 with this function
static SuperErlang	multiply(SuperErlang f1, SuperErlang f2) Return the product of this two functions
int	numTerms() Returns the number of terms.
static SuperErlang	poly(double coef, int n) Return a monomy c t^n
SuperErlang	sum(SuperErlang f2) Sums the function f2 to this function
static SuperErlang	sum(SuperErlang f1, SuperErlang f2) Return the sum of this two functions
Term	term(int i) Returns the i-th term.
SuperErlang	times(double cons) Returns this function times the constant
java.lang.String	toString()
java.lang.String	toStringE() String representation using the notation p1E(n1,a2) + p2E(n2,a2) + ... where E(n,a) = a^n x^(n-1) e^(-a x) / (n-1)!, is an Erlang pdf.
java.lang.String	toStringP() String representation using the notation p1P(n1,a2) + p2P(n2,a2) + ... where E(n,a) = (a x)^n e^(-a x) / n!, is a poisson cdf..
java.lang.String	toStringRTF() String representation in RTF

Methods inherited from class java.lang.Object

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

Field Detail

ONE

public static SuperErlang ONE

The number one (1)

Constructor Detail

SuperErlang

public SuperErlang()

f(x) = 0.0

SuperErlang

public SuperErlang(Term trm)

f(x) = t

Parameters:

trm -

SuperErlang

public SuperErlang(double cf,
                   int n,
                   double lbd)

f(x) = cf E(n,lbd)

Parameters:

cf -

n -

lbd -

Method Detail

poly

public static SuperErlang poly(double coef,
                               int n)

Return a monomy c t^n

Parameters:

coef -

n -

Returns:

c t^n

isZero

public boolean isZero()

Detrmines whethr this function is identically equal to 0

Returns:

true if f(x) == 0.0

addTerm

public SuperErlang addTerm(double coeff,
                           int power,
                           double lmb)

Parameters:

coeff -

power -

lmb -

Returns:

f(x) := f(x) + coeff E(power, lmb)

addTerm

public SuperErlang addTerm(Term tr)

Parameters:

tr -

Returns:

f(x) := f(x) + tr

numTerms

public int numTerms()

Returns the number of terms.

Returns:

Number of terms

term

public Term term(int i)

Returns the i-th term.

Parameters:

i - The 0based index.

Returns:

The i-th term

exp

protected double exp()

Returns:

expected falue for the given pdf

moment

protected double moment(int k)

Parameters:

k -

Returns:

k-th moment

clone

public java.lang.Object clone()

Clones this function

Overrides:

clone in class java.lang.Object

sum

public SuperErlang sum(SuperErlang f2)

Sums the function f2 to this function

Parameters:

f2 -

Returns:

f(x) := f(x) + f2(x)

sum

public static SuperErlang sum(SuperErlang f1,
                              SuperErlang f2)

Return the sum of this two functions

Parameters:

f1 -

f2 -

Returns:

f1+f2

times

public SuperErlang times(double cons)

Returns this function times the constant

Parameters:

cons -

Returns:

cons * f(x)

expand

public SuperErlang expand(double a)

Evaluates f(t) at a*t.

Parameters:

a -

Returns:

f(a x)

move

public SuperErlang move(double a)

Evaluates the function at t+a

Parameters:

a -

Returns:

f(t+a)

multiply

public SuperErlang multiply(SuperErlang f2)

Multiply the function f2 with this function

Parameters:

f2 -

Returns:

f(x) x f2(x)

multiply

public static SuperErlang multiply(SuperErlang f1,
                                   SuperErlang f2)

Return the product of this two functions

Parameters:

f1 -

f2 -

Returns:

f1(x) x f2(x)

derive

public SuperErlang derive()

Rturns the derivative at t of this function.

Returns:

f'(x)

integrate

public SuperErlang integrate()

Rturns the integral from 0 to t of this function.

Returns:

int_0^x f(t)dt

integrateCom

public SuperErlang integrateCom()

Rturns the integral from t to infinity of this function.

Returns:

int_x^infty f(t)dt

defIntegrate

public double defIntegrate()

Returns the integral from 0 to infinity of this function.

Returns:

integral value

defIntegrate

public double defIntegrate(double x)

Returns the definite integral from 0 to x of this function

Parameters:

x -

Returns:

int_0^x f(t)dt

convolution

public static SuperErlang convolution(SuperErlang f1,
                                      SuperErlang f2)

Return the convolution of this two functions

Parameters:

f1 -

f2 -

Returns:

f1 * f2(x)

toString

public java.lang.String toString()

Overrides:

toString in class java.lang.Object

toStringRTF

public java.lang.String toStringRTF()

String representation in RTF

Returns:

string

toStringE

public java.lang.String toStringE()

String representation using the notation p1E(n1,a2) + p2E(n2,a2) + ... where E(n,a) = a^n x^(n-1) e^(-a x) / (n-1)!, is an Erlang pdf.

Returns:

Erlang type representation.

toStringP

public java.lang.String toStringP()

String representation using the notation p1P(n1,a2) + p2P(n2,a2) + ... where E(n,a) = (a x)^n e^(-a x) / n!, is a poisson cdf..

Returns:

Erlang type representation.