part7
Class RealPoint

java.lang.Object
  part7.ECPoint
      part7.RealPoint

All Implemented Interfaces:

java.lang.Comparable

public class RealPoint

extends ECPoint

A class used to represent a real point (x,y) on an elliptic curve.

Field Summary

Fields inherited from class part7.ECPoint

_c

Constructor Summary

RealPoint(Curve c, java.math.BigInteger x, java.math.BigInteger y)

Method Summary

ECPoint	add(ECPoint p) A method to add this point to the point p.
int	compareTo(java.lang.Object obj) A method that implements lexicographic ordering of points.
java.math.BigInteger	getX()
java.math.BigInteger	getY()
ECPoint	inverse() A method to return the inverse of this point.
java.math.BigInteger	log(ECPoint p) A method to compute the log of this point to the base b.
java.math.BigInteger	order() A method to return the order of this point.
ECPoint	power(java.math.BigInteger e) A method to raise this point to the power e.
java.lang.String	toString()

Methods inherited from class part7.ECPoint

getCurve, ord, points

Methods inherited from class java.lang.Object

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

Constructor Detail

RealPoint

public RealPoint(Curve c,
                 java.math.BigInteger x,
                 java.math.BigInteger y)
          throws java.lang.Exception

Throws:

java.lang.Exception - if the point (x,y) is not on the curve c.

Method Detail

compareTo

public int compareTo(java.lang.Object obj)

Description copied from class: ECPoint

A method that implements lexicographic ordering of points. It is assumed that the point at infinity is less than all other points.
Required by java.language.Comparible to allow objects of type Point to be compared when added to collection types such as AbstractSte.

Specified by:

compareTo in interface java.lang.Comparable

Specified by:

compareTo in class ECPoint

toString

public java.lang.String toString()

add

public ECPoint add(ECPoint p)
            throws java.lang.Exception

Description copied from class: ECPoint

A method to add this point to the point p.

Specified by:

add in class ECPoint

Returns:

this + p

Throws:

java.lang.Exception - if the points to be added are on different curves.

power

public ECPoint power(java.math.BigInteger e)
              throws java.lang.Exception

Description copied from class: ECPoint

A method to raise this point to the power e.

Specified by:

power in class ECPoint

Returns:

thise

Throws:

java.lang.Exception

log

public java.math.BigInteger log(ECPoint p)
                         throws java.lang.Exception

Description copied from class: ECPoint

A method to compute the log of this point to the base b.
Note this method may fail to terminate.

Specified by:

log in class ECPoint

Returns:

logbthis

Throws:

java.lang.Exception

inverse

public ECPoint inverse()
                throws java.lang.Exception

Description copied from class: ECPoint

A method to return the inverse of this point.

Specified by:

inverse in class ECPoint

Returns:

this-1

Throws:

java.lang.Exception

order

public java.math.BigInteger order()
                           throws java.lang.Exception

Description copied from class: ECPoint

A method to return the order of this point.

Specified by:

order in class ECPoint

Returns:

ord(this)

Throws:

java.lang.Exception

getX

public java.math.BigInteger getX()
                          throws java.lang.Exception

Throws:

java.lang.Exception

getY

public java.math.BigInteger getY()
                          throws java.lang.Exception

Throws:

java.lang.Exception