math.function

Class QuadraticFunction

java.lang.Object

math.function.AbstractFunction

math.function.QuadraticFunction

All Implemented Interfaces:

Function

public class QuadraticFunction
extends AbstractFunction

A univariate polynomial function of degree 2.

Constructor Summary

Constructors

Constructor and Description
QuadraticFunction(double a, double b, double c) Create a new quadratic function using the given coefficients.
QuadraticFunction(Real a, Real b, Real c) Create a new quadratic function using the given coefficients.

Method Summary

Modifier and Type	Method and Description
Real	a() retrieve the coefficient of the leading term of the polynomial.
double	at(double x) Compute and return the value of the function at the given point.
Real	at(Real point) Compute and return the value of the function at the given point.
Real	b() retrieve the coefficient of the first degree term of the polynomial.
Real	c() retrieve the constant term of the polynomial.
Real[]	coefficients() retrieve the coefficients of the polynomial.
double[]	coefficientsDbl() retrieve the coefficients of the polynomial as primitives.
boolean	equals(Object o)
Real	extremePoint() retrieve the point at which the local extremum of this function occurs.
double	extremePointDbl() retrieve the point at which the local extremum of this function occurs as a primitive.
Real	extremum() retrieve the local extremum of this function.
double	extremumDbl() retrieve the local extremum of this function as a primitive.
int	hashCode()
boolean	hasMaximum() Indicates if this function has a maximum or not.
boolean	hasMinimum() Indicates if this function has a minimum or not.
double	slopeAt(double x) Compute and return the slope at the given point.
String	toString()
Complex[]	zeros() Compute and return the zeros, or roots, of this function.

Methods inherited from class math.function.AbstractFunction

functionEvaluations, slopeAt, slopeEvaluations

Methods inherited from class java.lang.Object

getClass, notify, notifyAll, wait, wait, wait

Constructor Detail

QuadraticFunction

public QuadraticFunction(Real a,
                         Real b,
                         Real c)

Create a new quadratic function using the given coefficients.

Parameters:

a - the coefficient of the leading term of the polynomial.

b - the coefficient of the first degree term of the polynomial.

c - the constant term of the polynomial.

QuadraticFunction

public QuadraticFunction(double a,
                         double b,
                         double c)

Create a new quadratic function using the given coefficients.

Parameters:

a - the coefficient of the leading term of the polynomial.

b - the coefficient of the first degree term of the polynomial.

c - the constant term of the polynomial.

Method Detail

zeros

public Complex[] zeros()

Compute and return the zeros, or roots, of this function.

Returns:

the zeros, or roots, of this function.

a

public Real a()

retrieve the coefficient of the leading term of the polynomial.

Returns:

the coefficient of the leading term of the polynomial.

b

public Real b()

retrieve the coefficient of the first degree term of the polynomial.

Returns:

the coefficient of the first degree term of the polynomial.

c

public Real c()

retrieve the constant term of the polynomial.

Returns:

the constant term of the polynomial.

at

public Real at(Real point)

Compute and return the value of the function at the given point.

Parameters:

point - the point at which to evaluate the function.

Returns:

the value of the function at the given point.

at

public double at(double x)

Description copied from interface: Function

Compute and return the value of the function at the given point.

Parameters:

x - the point at which to evaluate the function.

Returns:

the value of the function at the given point.

slopeAt

public double slopeAt(double x)

Description copied from class: AbstractFunction

Compute and return the slope at the given point.

Overrides:

slopeAt in class AbstractFunction

Parameters:

x - an element of the function's domain.

Returns:

the slope of the function at the given point.

coefficients

public Real[] coefficients()

retrieve the coefficients of the polynomial.

Returns:

the coefficients of the polynomial.

coefficientsDbl

public double[] coefficientsDbl()

retrieve the coefficients of the polynomial as primitives.

Returns:

the coefficients of the polynomial as primitives.

extremePointDbl

public double extremePointDbl()

retrieve the point at which the local extremum of this function occurs as a primitive.

Returns:

the point at which the local extremum of this function occurs as a primitive.

extremePoint

public Real extremePoint()

retrieve the point at which the local extremum of this function occurs.

Returns:

the point at which the local extremum of this function occurs.

extremumDbl

public double extremumDbl()

retrieve the local extremum of this function as a primitive.

Returns:

the local extremum of this function as a primitive.

extremum

public Real extremum()

retrieve the local extremum of this function.

Returns:

the local extremum of this function.

hasMinimum

public boolean hasMinimum()

Indicates if this function has a minimum or not.

Returns:

true if this function has a minimum, false otherwise.

hasMaximum

public boolean hasMaximum()

Indicates if this function has a maximum or not.

Returns:

true if this function has a maximum, false otherwise.

equals

public boolean equals(Object o)

Overrides:

equals in class Object

hashCode

public int hashCode()

Overrides:

hashCode in class Object

toString

public String toString()

Overrides:

toString in class Object