edu.jas.root
Class Interval<C extends RingElem<C> & Rational>

java.lang.Object
  edu.jas.root.Interval<C>

Type Parameters:

C - coefficient type.

public class Interval<C extends RingElem<C> & Rational>
extends java.lang.Object

Interval. For example isolating interval for real roots.

Author:

Heinz Kredel

Field Summary

C	left left interval border.
C	right right interval border.

Constructor Summary

Interval(C mid)
Constructor.

Interval(C left, C right)
Constructor.

Method Summary

Interval<C>	clone() Clone this.
boolean	contains(C c) Test if an element is contained in this interval.
boolean	contains(Interval<C> vc) Test if an interval is contained in this interval.
boolean	equals(java.lang.Object b) Comparison with any other object.
int	hashCode() Hash code for this Interval.
C	length() Length.
C	randomPoint() Random point of interval.
BigRational	rationalLength() BigRational Length.
BigRational	rationalMiddle() Rational middle point.
BigDecimal	toDecimal() BigDecimal representation of Interval.
java.lang.String	toScript() Get a scripting compatible string representation.
java.lang.String	toString() String representation of Interval.

Methods inherited from class java.lang.Object

finalize, getClass, notify, notifyAll, wait, wait, wait

Field Detail

left

public final C extends RingElem<C> & Rational left

left interval border.

right

public final C extends RingElem<C> & Rational right

right interval border.

Constructor Detail

Interval

public Interval(C left,
                C right)

Constructor.

Parameters:

left - interval border.

right - interval border.

Interval

public Interval(C mid)

Constructor.

Parameters:

mid - left and right interval border.

Method Detail

toString

public java.lang.String toString()

String representation of Interval.

Overrides:

toString in class java.lang.Object

See Also:

Object.toString()

toScript

public java.lang.String toScript()

Get a scripting compatible string representation.

Returns:

script compatible representation for this Interval.

clone

public Interval<C> clone()

Clone this.

Overrides:

clone in class java.lang.Object

See Also:

Object.clone()

equals

public boolean equals(java.lang.Object b)

Comparison with any other object.

Overrides:

equals in class java.lang.Object

See Also:

Object.equals(java.lang.Object)

hashCode

public int hashCode()

Hash code for this Interval.

Overrides:

hashCode in class java.lang.Object

See Also:

Object.hashCode()

contains

public boolean contains(C c)

Test if an element is contained in this interval.

Parameters:

c - element to test.

Returns:

true, if left <= b <= right;

contains

public boolean contains(Interval<C> vc)

Test if an interval is contained in this interval.

Parameters:

vc - interval to test.

Returns:

true, if left <= vc.left and vc.right <= right;

length

public C length()

Length.

Returns:

|left-right|;

rationalLength

public BigRational rationalLength()

BigRational Length.

Returns:

|left-right|;

toDecimal

public BigDecimal toDecimal()

BigDecimal representation of Interval.

rationalMiddle

public BigRational rationalMiddle()

Rational middle point.

Returns:

(left-right)/2;

randomPoint

public C randomPoint()

Random point of interval.

Returns:

a random point contained in this interval.