com.numericalmethod.suanshu.analysis.integration.univariate.riemann
Enum EulerMaclaurin.NewtonCotesType

java.lang.Object
  java.lang.Enum<EulerMaclaurin.NewtonCotesType>
      com.numericalmethod.suanshu.analysis.integration.univariate.riemann.EulerMaclaurin.NewtonCotesType

All Implemented Interfaces:

java.io.Serializable, java.lang.Comparable<EulerMaclaurin.NewtonCotesType>

Enclosing class:

EulerMaclaurin

public static enum EulerMaclaurin.NewtonCotesType
extends java.lang.Enum<EulerMaclaurin.NewtonCotesType>

Newton-Cotes methods can be classified into two categories: OPEN and CLOSED.

Enum Constant Summary

CLOSED
The first and the last terms in the Euler-Maclaurin formula are included in the sum.

OPEN
The first and the last terms in the Euler-Maclaurin formula are not included in the sum.

Method Summary

static EulerMaclaurin.NewtonCotesType	valueOf(java.lang.String name) Returns the enum constant of this type with the specified name.
static EulerMaclaurin.NewtonCotesType[]	values() Returns an array containing the constants of this enum type, in the order they are declared.

Methods inherited from class java.lang.Enum

clone, compareTo, equals, finalize, getDeclaringClass, hashCode, name, ordinal, toString, valueOf

Methods inherited from class java.lang.Object

getClass, notify, notifyAll, wait, wait, wait

Enum Constant Detail

CLOSED

public static final EulerMaclaurin.NewtonCotesType CLOSED

The first and the last terms in the Euler-Maclaurin formula are included in the sum. They are: 1/2 * f(x0), and 1/2 * f(xn).

OPEN

public static final EulerMaclaurin.NewtonCotesType OPEN

The first and the last terms in the Euler-Maclaurin formula are not included in the sum. This is to avoid computing for end points where f(x) cannot be evaluated. Instead, we use the mid-point to make the first rough estimate of the integral.

Method Detail

values

public static EulerMaclaurin.NewtonCotesType[] values()

Returns an array containing the constants of this enum type, in the order they are declared. This method may be used to iterate over the constants as follows:

for (EulerMaclaurin.NewtonCotesType c : EulerMaclaurin.NewtonCotesType.values())
    System.out.println(c);

Returns:

an array containing the constants of this enum type, in the order they are declared

valueOf

public static EulerMaclaurin.NewtonCotesType valueOf(java.lang.String name)

Returns the enum constant of this type with the specified name. The string must match exactly an identifier used to declare an enum constant in this type. (Extraneous whitespace characters are not permitted.)

Parameters:

name - the name of the enum constant to be returned.

Returns:

the enum constant with the specified name

Throws:

java.lang.IllegalArgumentException - if this enum type has no constant with the specified name

java.lang.NullPointerException - if the argument is null