keel.Algorithms.Preprocess.Missing_Values.EM

Class Function

java.lang.Object

keel.Algorithms.Preprocess.Missing_Values.EM.Function

public abstract class Function
extends java.lang.Object

Abstract class that contains all the neeaded methods to implement function of several variables

Author:

Julian Luengo Martin

Constructor Summary

Constructors

Constructor and Description
Function()

Method Summary

Modifier and Type	Method and Description
static Function	add(Function f, Function g) the sum of two functions
static Function	compose(Function f, Function g) the composite of to functions
static Function	div(Function f, Function g) the quaotient of two functions
double	max(double a, double A, int N) The maximum of this function over an interval [a,A] evaluated at N+1 evenly distributed values
double	min(double a, double A, int N) The minimum of this function over an interval [a,A] evaluated at N+1 evenly distributed values
static Function	mul(Function f, Function g) the product of two functions
static Function	sub(Function f, Function g) the difference of two functions
abstract double	valueAt(double x) the value of the function at the point x
double[]	valuesAt(double[] x) the array of values of this function at an array of values
double[][]	valuesAt(double[][] x) the array of values of this function at a 2 dimensional array of values

Methods inherited from class java.lang.Object

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

Constructor Detail

Function

public Function()

Method Detail

valueAt

public abstract double valueAt(double x)

the value of the function at the point x

Parameters:

x - the argument of the function

Returns:

the value of the function at x

valuesAt

public double[] valuesAt(double[] x)

the array of values of this function at an array of values

Parameters:

x - the array of argument values

Returns:

the array of function values

valuesAt

public double[][] valuesAt(double[][] x)

the array of values of this function at a 2 dimensional array of values

Parameters:

x - the array of argument values

Returns:

the array of function values

max

public double max(double a,
                  double A,
                  int N)

The maximum of this function over an interval [a,A] evaluated at N+1 evenly distributed values

Parameters:

a - the left endpoint of the interval

A - the right enpoint of the interval

N - the number of subdivision intervals

Returns:

the greatest among the computed function values

min

public double min(double a,
                  double A,
                  int N)

The minimum of this function over an interval [a,A] evaluated at N+1 evenly distributed values

Parameters:

a - the left endpoint of the interval

A - the right enpoint of the interval

N - the number of subdivision intervals

Returns:

the least among the computed function values

compose

public static Function compose(Function f,
                               Function g)

the composite of to functions

Parameters:

f - the first function

g - the second function

Returns:

f o g - first g then f

add

public static Function add(Function f,
                           Function g)

the sum of two functions

Parameters:

f - the first function

g - the second function

Returns:

the function f+g defined by (f+g)(x)=f(x)+g(x)

sub

public static Function sub(Function f,
                           Function g)

the difference of two functions

Parameters:

f - the first function

g - the second function

Returns:

the function f-g defined by (f-g)(x)=f(x)-g(x)

mul

public static Function mul(Function f,
                           Function g)

the product of two functions

Parameters:

f - the first function

g - the second function

Returns:

the function f*g defined by (f*g)(x)=f(x)*g(x)

div

public static Function div(Function f,
                           Function g)

the quaotient of two functions

Parameters:

f - the first function

g - the second function

Returns:

the function f/g defined by (f/g)(x)=f(x)/g(x)