Package functions.unitary.integer.combo

Class SFactorial

Object

GeneralFunction

UnitaryFunction

IntegerUnitaryFunction

Factorial

SFactorial

All Implemented Interfaces:

Differentiable, Evaluable, Outputable, Simplifiable, Comparable<GeneralFunction>, Iterable<GeneralFunction>

public class SFactorial
extends Factorial

Stirling's Approximation for factorials asymptotically approaches n!, but it has a delta greater than one for x>=5. It is useful for performance (but not accuracy) of large number inputs, and for approximations of the gamma function especially on [1, 4].

Field Summary

Fields inherited from class UnitaryFunction

operand

Fields inherited from class GeneralFunction

derivatives, sortOrder

Constructor Summary

Constructors

Constructor	Description
SFactorial(GeneralFunction operand)

Method Summary

Modifier and Type	Method	Description
GeneralFunction	classForm()	Returns this representation of factorial in the form of a composition of other raw classes
double	evaluate(Map<String,Double> variableValues)	Evaluates a GeneralFunction at a point denoted by a Map
GeneralFunction	getDerivative(String varID)	Returns the derivative of a GeneralFunction with respect to a variable.
UnitaryFunction	getInstance(GeneralFunction function)	Returns a new instance of this UnitaryFunction
long	operate(int input)	Performs the operation of this function

Methods inherited from class Factorial

defaultFactorial, toString

Methods inherited from class UnitaryFunction

clone, compareSelf, equalsFunction, hashCode, iterator, newInstanceOf, simplify, simplifyFOC, simplifyInternal, simplifyInverse, substituteAll, toOutputFunction

Methods inherited from class GeneralFunction

compareTo, derivativeAt, equals, equalsSimplified, getNthDerivative, getSimplifiedDerivative, substituteVariables

Methods inherited from class Object

finalize, getClass, notify, notifyAll, wait, wait, wait

Methods inherited from interface Iterable

forEach, spliterator

Constructor Details

SFactorial

public SFactorial(GeneralFunction operand)

Method Details

classForm

public GeneralFunction classForm()

Description copied from class: Factorial

Returns this representation of factorial in the form of a composition of other raw classes

Specified by:

classForm in class Factorial

Returns:

the representation as a composition of other raw classes

getInstance

public UnitaryFunction getInstance(GeneralFunction function)

Description copied from class: UnitaryFunction

Returns a new instance of this UnitaryFunction

Specified by:

getInstance in class UnitaryFunction

Parameters:

function - the GeneralFunction to be operated on

Returns:

a new instance of this UnitaryFunction

getDerivative

public GeneralFunction getDerivative(String varID)

Description copied from interface: Differentiable

Returns the derivative of a GeneralFunction with respect to a variable. Should not be used in general; GeneralFunction.getSimplifiedDerivative(java.lang.String) is strongly preferred.

Specified by:

getDerivative in interface Differentiable

Overrides:

getDerivative in class IntegerUnitaryFunction

Parameters:

varID - the ID of the variable that is differentiated against

Returns:

the derivative of the function with respect to varID

evaluate

public double evaluate(Map<String,Double> variableValues)

Description copied from interface: Evaluable

Evaluates a GeneralFunction at a point denoted by a Map

Specified by:

evaluate in interface Evaluable

Overrides:

evaluate in class IntegerUnitaryFunction

Parameters:

variableValues - the values of the variables in the GeneralFunction at the point

Returns:

the value of the GeneralFunction at the point

operate

public long operate(int input)

Description copied from class: IntegerUnitaryFunction

Performs the operation of this function

Specified by:

operate in class IntegerUnitaryFunction

Parameters:

input - the value to be operated on

Returns:

the result of the operation