edu.neu.ccs
Class FC

java.lang.Object
  edu.neu.ccs.FC

public class FC

extends Object

Class FC is a collection of static methods that make it easy to create and manipulate complex functions of one argument, that is, objects that implement the interface FunctionComplex.OneArg. Such function objects must have a method of the form:

public XComplex evaluate(XComplex x)

Class FC cannot be instantiated.

Since:

2.4.0

Version:

2.4.0

Field Summary

static FunctionComplex.OneArg	exp The function x --> exp(x).
static FunctionComplex.OneArg	identity The identity function x --> x.
static FunctionComplex.OneArg	log The function x --> log(x).
static FunctionComplex.OneArg	sqrt The function x --> sqrt(x).

Constructor Summary

private

FC()

Method Summary

static FunctionComplex.OneArg	add(FunctionComplex.OneArg f, FunctionComplex.OneArg g) The function to add functions f,g: f + g.
static FunctionComplex.OneArg	aToPowerX(XComplex a) The function x --> a-to-the-power-x = XComplex.generalPower(a,x).
private static void	checkNull(String method, FunctionComplex.OneArg f) Check for null function arguments and throw a NullPointerException if necessary.
private static void	checkNull(String method, FunctionComplex.OneArg f, FunctionComplex.OneArg g) Check for null function arguments and throw a NullPointerException if necessary.
static FunctionComplex.OneArg	compose(FunctionComplex.OneArg f, FunctionComplex.OneArg g) The function to compose functions f,g: x --> f(g(x)).
static FunctionComplex.OneArg	constant(XComplex c) The constant function x --> c.
static FunctionComplex.OneArg	divide(FunctionComplex.OneArg f, FunctionComplex.OneArg g) The function to divide functions f,g: f / g.
static FunctionComplex.OneArg	generalPower(FunctionComplex.OneArg f, double d) The function to compute the function f-to-the-power-d.
static FunctionComplex.OneArg	generalPower(FunctionComplex.OneArg f, FunctionComplex.OneArg g) The function to compute the function f-to-the-power-g.
static FunctionComplex.OneArg	generalPower(FunctionComplex.OneArg f, XComplex z) The function to compute the function f-to-the-power-z.
static FunctionComplex.OneArg	generalPower(XComplex z, FunctionComplex.OneArg f) The function to compute the function z-to-the-power-f.
static FunctionComplex.OneArg	linear(XComplex a, XComplex b) The linear function x --> a * x + b.
static FunctionComplex.OneArg	multiply(FunctionComplex.OneArg f, FunctionComplex.OneArg g) The function to multiply functions f,g: f * g.
static FunctionComplex.OneArg	power(FunctionComplex.OneArg f, int n) The function to compute the function f-to-the-power-n.
static FunctionComplex.OneArg	scale(XComplex a) The scale function x --> a * x.
static FunctionComplex.OneArg	subtract(FunctionComplex.OneArg f, FunctionComplex.OneArg g) The function to subtract functions f,g: f - g.
static FunctionComplex.OneArg	translate(XComplex b) The translate function x --> x + b.
static FunctionComplex.OneArg	xToPowerA(XComplex a) The function x --> x-to-the-power-a = XComplex.generalPower(x,a).
static FunctionComplex.OneArg	xToPowerN(int n) The function x --> x-to-the-power-n = XComplex.power(x,n).

Methods inherited from class java.lang.Object

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

Field Detail

identity

public static final FunctionComplex.OneArg identity

The identity function x --> x.

exp

public static final FunctionComplex.OneArg exp

The function x --> exp(x).

log

public static final FunctionComplex.OneArg log

The function x --> log(x).

sqrt

public static final FunctionComplex.OneArg sqrt

The function x --> sqrt(x).

Constructor Detail

FC

private FC()

Method Detail

constant

public static FunctionComplex.OneArg constant(XComplex c)

The constant function x --> c.

Parameters:

c - the constant.

scale

public static FunctionComplex.OneArg scale(XComplex a)

The scale function x --> a * x.

Parameters:

a - the scale.

translate

public static FunctionComplex.OneArg translate(XComplex b)

The translate function x --> x + b.

Parameters:

b - the translate.

linear

public static FunctionComplex.OneArg linear(XComplex a,
                                            XComplex b)

The linear function x --> a * x + b.

Parameters:

a - the scale.

b - the translate.

xToPowerN

public static FunctionComplex.OneArg xToPowerN(int n)

The function x --> x-to-the-power-n = XComplex.power(x,n).

xToPowerA

public static FunctionComplex.OneArg xToPowerA(XComplex a)

The function x --> x-to-the-power-a = XComplex.generalPower(x,a).

aToPowerX

public static FunctionComplex.OneArg aToPowerX(XComplex a)

The function x --> a-to-the-power-x = XComplex.generalPower(a,x).

add

public static FunctionComplex.OneArg add(FunctionComplex.OneArg f,
                                         FunctionComplex.OneArg g)

The function to add functions f,g: f + g.

subtract

public static FunctionComplex.OneArg subtract(FunctionComplex.OneArg f,
                                              FunctionComplex.OneArg g)

The function to subtract functions f,g: f - g.

multiply

public static FunctionComplex.OneArg multiply(FunctionComplex.OneArg f,
                                              FunctionComplex.OneArg g)

The function to multiply functions f,g: f * g.

divide

public static FunctionComplex.OneArg divide(FunctionComplex.OneArg f,
                                            FunctionComplex.OneArg g)

The function to divide functions f,g: f / g.

compose

public static FunctionComplex.OneArg compose(FunctionComplex.OneArg f,
                                             FunctionComplex.OneArg g)

The function to compose functions f,g: x --> f(g(x)).

power

public static FunctionComplex.OneArg power(FunctionComplex.OneArg f,
                                           int n)

The function to compute the function f-to-the-power-n.

generalPower

public static FunctionComplex.OneArg generalPower(FunctionComplex.OneArg f,
                                                  double d)

The function to compute the function f-to-the-power-d.

generalPower

public static FunctionComplex.OneArg generalPower(FunctionComplex.OneArg f,
                                                  XComplex z)

The function to compute the function f-to-the-power-z.

generalPower

public static FunctionComplex.OneArg generalPower(XComplex z,
                                                  FunctionComplex.OneArg f)

The function to compute the function z-to-the-power-f.

generalPower

public static FunctionComplex.OneArg generalPower(FunctionComplex.OneArg f,
                                                  FunctionComplex.OneArg g)

The function to compute the function f-to-the-power-g.

checkNull

private static void checkNull(String method,
                              FunctionComplex.OneArg f)

Check for null function arguments and throw a NullPointerException if necessary.

Parameters:

method - the string name of the method

f - the function argument

checkNull

private static void checkNull(String method,
                              FunctionComplex.OneArg f,
                              FunctionComplex.OneArg g)

Check for null function arguments and throw a NullPointerException if necessary.

Parameters:

method - the string name of the method

f - the first function argument

g - the second function argument