monotonic
Class Concave

java.lang.Object

  monotonic.Monotonic

      monotonic.Concave

All Implemented Interfaces:

java.io.Serializable

public class Concave

extends Monotonic

Generates concave monotonic functions.

Convace extends Monotonic which forces concavity rules on top of monotonicity rules when creating random points.

Author:

A.K.Nircan

See Also:

Serialized Form

Field Summary

Fields inherited from class monotonic.Monotonic

lowerEnvelope, points, rand, sNear, upperEnvelope

Constructor Summary

Concave()
Concave constructor with no envelopes and sNear = 0.01

Concave(double sNear)
Concave object constructor.

Concave(Envelope upperEnvelope, Envelope lowerEnvelope, double sNear)
Creates a concave object with upper and lower envelopes and sNear parameter

Method Summary

private double	angleLeft(double r, java.lang.Double b) Generates a new point at the far left (begining) of the point list and returns its y value.
private double	angleRight(double r, java.lang.Double c) Creates a new point at far right of the point list and returns this new points' y value.
double	gety(double r) Randomly generates a y value for the r value and stores it to the point list using MOCASSIM algorithm.
private double	interpolate(double r, java.lang.Double b, java.lang.Double c) Starts an interpolation scheme where target value r is approached step by step with halving the interval of left and right of r.

Methods inherited from class monotonic.Monotonic

angleLeft, angleRight, deletePoints, getNumberOfPoints, getPoints, getSNear, hasBothEnvelopes, hasLowerEnvelope, hasUpperEnvelope, interpolate, leftOf, leftOf, passesThru, pointOnLine, pointOnLine, randomBetween, rightOf, rightOf, setLowerEnvelope, setSNear, setUpperEnvelope, toString

Methods inherited from class java.lang.Object

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

Constructor Detail

Concave

public Concave(Envelope upperEnvelope,
               Envelope lowerEnvelope,
               double sNear)

Creates a concave object with upper and lower envelopes and sNear parameter

Parameters:

upperEnvelope -

lowerEnvelope -

sNear - minimum allowed distance between two points in the point list created in interpolation. Has no effect on extrapolation algorithms angleLeft and angleRight.

Concave

public Concave(double sNear)

Concave object constructor.

Parameters:

sNear - minimum allowed distance between two points in the point list created in interpolation. Has no effect on extrapolation algorithms.

Concave

public Concave()

Concave constructor with no envelopes and sNear = 0.01

Method Detail

gety

public double gety(double r)

Description copied from class: Monotonic

Randomly generates a y value for the r value and stores it to the point list using MOCASSIM algorithm.

Overrides:

gety in class Monotonic

Parameters:

r - x coordinate where the new point will be created

Returns:

randomly generated y value for the given r

angleRight

private double angleRight(double r,
                          java.lang.Double c)

Creates a new point at far right of the point list and returns this new points' y value.

Parameters:

r - x coordinate of the new point to be created

c - is the last point on the point list

Returns:

y value corresponding to r which is randomly created and obeys monotonicity and concavity rules.

angleLeft

private double angleLeft(double r,
                         java.lang.Double b)

Generates a new point at the far left (begining) of the point list and returns its y value.

Parameters:

r - x coordinate of the new point to be created.

b - is the first point in the point list.

Returns:

y value corresponding to r which is randomly created and obeys monotonicity and concavity rules.

interpolate

private double interpolate(double r,
                           java.lang.Double b,
                           java.lang.Double c)

Starts an interpolation scheme where target value r is approached step by step with halving the interval of left and right of r. All points created using this algorithm are obeying monotonicity and concavity rules and are randomly created. Step halving continues until x distance of first points on the left and right of r are less then sNear.

Parameters:

r - x coordinate of the new point to be created.

b - first point to the left of r

c - first point to the right of r

Returns:

y value corresponding to r which is found by drawing a line from the first points to the right and left of r.