Package dk.jonaslindstrom.ruffini.elliptic.structures

Class ShortWeierstrassCurveProjective<E>

java.lang.Object

dk.jonaslindstrom.ruffini.elliptic.structures.ShortWeierstrassCurveProjective<E>

All Implemented Interfaces:

dk.jonaslindstrom.ruffini.common.abstractions.AdditiveGroup<ProjectivePoint<E>>, dk.jonaslindstrom.ruffini.common.abstractions.CommutativeMonoid<ProjectivePoint<E>>, dk.jonaslindstrom.ruffini.common.abstractions.Set<ProjectivePoint<E>>

public class ShortWeierstrassCurveProjective<E>
extends Object
implements dk.jonaslindstrom.ruffini.common.abstractions.AdditiveGroup<ProjectivePoint<E>>

Constructor Summary

Constructors

Constructor	Description
ShortWeierstrassCurveProjective(dk.jonaslindstrom.ruffini.common.abstractions.Field<E> field, E a, E b)	Curve on Weierstrass form.

Method Summary

Modifier and Type	Method	Description
ProjectivePoint<E>	add(ProjectivePoint<E> p, ProjectivePoint<E> q)
E	discriminant()
ProjectivePoint<E>	doubling(ProjectivePoint<E> p)
boolean	equals(ProjectivePoint<E> p, ProjectivePoint<E> q)
E	getA()
E	getB()
dk.jonaslindstrom.ruffini.common.abstractions.Field<E>	getField()
ProjectivePoint<E>	getZero()
ProjectivePoint<E>	negate(ProjectivePoint<E> p)
String	toString()
String	toString(ProjectivePoint<E> p)

Methods inherited from class java.lang.Object

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

Methods inherited from interface dk.jonaslindstrom.ruffini.common.abstractions.AdditiveGroup

isZero, scale, scale, subtract

Methods inherited from interface dk.jonaslindstrom.ruffini.common.abstractions.CommutativeMonoid

add, add

Constructor Details

ShortWeierstrassCurveProjective

public ShortWeierstrassCurveProjective(dk.jonaslindstrom.ruffini.common.abstractions.Field<E> field,
 E a,
 E b)

Curve on Weierstrass form. Field should have characteristics not equal to 2 or 3.

Method Details

getField

public dk.jonaslindstrom.ruffini.common.abstractions.Field<E> getField()

discriminant

public E discriminant()

getA

public E getA()

getB

public E getB()

negate

public ProjectivePoint<E> negate(ProjectivePoint<E> p)

Specified by:

negate in interface dk.jonaslindstrom.ruffini.common.abstractions.AdditiveGroup<E>

add

public ProjectivePoint<E> add(ProjectivePoint<E> p,
 ProjectivePoint<E> q)

Specified by:

add in interface dk.jonaslindstrom.ruffini.common.abstractions.CommutativeMonoid<E>

getZero

public ProjectivePoint<E> getZero()

Specified by:

getZero in interface dk.jonaslindstrom.ruffini.common.abstractions.CommutativeMonoid<E>

toString

public String toString(ProjectivePoint<E> p)

Specified by:

toString in interface dk.jonaslindstrom.ruffini.common.abstractions.Set<E>

equals

public boolean equals(ProjectivePoint<E> p,
 ProjectivePoint<E> q)

Specified by:

equals in interface dk.jonaslindstrom.ruffini.common.abstractions.Set<E>

doubling

public ProjectivePoint<E> doubling(ProjectivePoint<E> p)

Specified by:

doubling in interface dk.jonaslindstrom.ruffini.common.abstractions.AdditiveGroup<E>

toString

public String toString()

Overrides:

toString in class Object