edu.jas.root

Class Rectangle<C extends RingElem<C> & Rational>

java.lang.Object

edu.jas.root.Rectangle<C>

Type Parameters:

C - coefficient type.

All Implemented Interfaces:

java.io.Serializable

public class Rectangle<C extends RingElem<C> & Rational>
extends java.lang.Object
implements java.io.Serializable

Rectangle. For example isolating rectangle for complex roots.

Author:

Heinz Kredel

See Also:

Serialized Form

Field Summary

Fields

Modifier and Type	Field and Description
Complex<C>[]	corners rectangle corners.

Constructor Summary

Constructors

Constructor and Description
Rectangle(Complex<C> mid) Constructor.
Rectangle(Complex<C> sw, Complex<C> ne) Constructor.
Rectangle(Complex<C> nw, Complex<C> sw, Complex<C> se, Complex<C> ne) Constructor.

Method Summary

Methods

Modifier and Type	Method and Description
java.lang.String	centerApprox() Approximation of center.
boolean	contains(Complex<C> c) Contains a point.
boolean	contains(Rectangle<C> r) Contains a rectangle.
Rectangle<C>	copy() Copy this.
boolean	equals(java.lang.Object b) Comparison with any other object.
Rectangle<C>	exchangeNE(Complex<C> c) Exchange NE corner.
Rectangle<C>	exchangeNW(Complex<C> c) Exchange NW corner.
Rectangle<C>	exchangeSE(Complex<C> c) Exchange SE corner.
Rectangle<C>	exchangeSW(Complex<C> c) Exchange SW corner.
Complex<C>	getCenter() Complex center.
Complex<BigDecimal>	getDecimalCenter() Complex of BigDecimal approximation of center.
Complex<C>	getNE() Get north east corner.
Complex<C>	getNW() Get north west corner.
Complex<BigRational>	getRationalCenter() Complex of BigRational approximation of center.
Complex<C>	getSE() Get south east corner.
Complex<C>	getSW() Get south west corner.
int	hashCode() Hash code for this Rectangle.
C	length() Length.
C	lengthImag() Length imaginary side.
C	lengthReal() Length real side.
Complex<C>	randomPoint() Random point of recatangle.
BigRational	rationalLength() Rational Length.
java.lang.String	toScript() Get a scripting compatible string representation.
java.lang.String	toString() String representation of Rectangle.

Methods inherited from class java.lang.Object

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

Field Detail

corners

public final Complex<C extends RingElem<C> & Rational>[] corners

rectangle corners.

Constructor Detail

Rectangle

public Rectangle(Complex<C> mid)

Constructor.

Parameters:

mid - corner.

Rectangle

public Rectangle(Complex<C> sw,
         Complex<C> ne)

Constructor.

Parameters:

sw - corner.

ne - corner.

Rectangle

public Rectangle(Complex<C> nw,
         Complex<C> sw,
         Complex<C> se,
         Complex<C> ne)

Constructor.

  nw|0 ne|3
  sw|1 se|2
 

Parameters:

nw - corner.

sw - corner.

se - corner.

ne - corner.

Method Detail

toString

public java.lang.String toString()

String representation of Rectangle.

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 Rectangle.

getNW

public Complex<C> getNW()

Get north west corner.

Returns:

north west corner of this rectangle.

getSW

public Complex<C> getSW()

Get south west corner.

Returns:

south west corner of this rectangle.

getSE

public Complex<C> getSE()

Get south east corner.

Returns:

south east corner of this rectangle.

getNE

public Complex<C> getNE()

Get north east corner.

Returns:

north east corner of this rectangle.

exchangeNW

public Rectangle<C> exchangeNW(Complex<C> c)

Exchange NW corner.

Parameters:

c - new NW corner.

Returns:

rectangle with north west corner c of this rectangle.

exchangeSW

public Rectangle<C> exchangeSW(Complex<C> c)

Exchange SW corner.

Parameters:

c - new SW corner.

Returns:

rectangle with south west corner c of this rectangle.

exchangeSE

public Rectangle<C> exchangeSE(Complex<C> c)

Exchange SE corner.

Parameters:

c - new SE corner.

Returns:

rectangle with south east corner c of this rectangle.

exchangeNE

public Rectangle<C> exchangeNE(Complex<C> c)

Exchange NE corner.

Parameters:

c - new NE corner.

Returns:

rectangle with north east corner c of this rectangle.

contains

public boolean contains(Complex<C> c)

Contains a point.

Parameters:

c - point.

Returns:

true if c is contained in this rectangle, else false.

contains

public boolean contains(Rectangle<C> r)

Contains a rectangle.

Parameters:

r - rectangle.

Returns:

true if r is contained in this rectangle, else false.

randomPoint

public Complex<C> randomPoint()

Random point of recatangle.

Returns:

a random point contained in this rectangle.

copy

public Rectangle<C> copy()

Copy this.

Returns:

a copy of this.

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 Rectangle.

Overrides:

hashCode in class java.lang.Object

See Also:

Object.hashCode()

getCenter

public Complex<C> getCenter()

Complex center.

Returns:

r + i m of the center.

getRationalCenter

public Complex<BigRational> getRationalCenter()

Complex of BigRational approximation of center.

Returns:

r + i m as rational approximation of the center.

getDecimalCenter

public Complex<BigDecimal> getDecimalCenter()

Complex of BigDecimal approximation of center.

Returns:

r + i m as decimal approximation of the center.

centerApprox

public java.lang.String centerApprox()

Approximation of center.

Returns:

r + i m as string of decimal approximation of the center.

length

public C length()

Length.

Returns:

|ne-sw|**2;

rationalLength

public BigRational rationalLength()

Rational Length.

Returns:

rational(|ne-sw|**2);

lengthReal

public C lengthReal()

Length real side.

Returns:

|re(ne)-re(sw)|;

lengthImag

public C lengthImag()

Length imaginary side.

Returns:

|im(ne)-im(sw)|;