Package dk.jonaslindstrom.ruffini.elliptic.structures

Class ShortWeierstrassCurveProjective<E>

java.lang.Object

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

All Implemented Interfaces:

AdditiveGroup<ProjectivePoint<E>>, CommutativeMonoid<ProjectivePoint<E>>, Set<ProjectivePoint<E>>

public class ShortWeierstrassCurveProjective<E>
extends Object
implements AdditiveGroup<ProjectivePoint<E>>

Constructor Summary

Constructors

Constructor	Description
ShortWeierstrassCurveProjective(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)	Return the result of a+b.
E	discriminant()
ProjectivePoint<E>	doubling(ProjectivePoint<E> p)	Return 2e.
boolean	equals(ProjectivePoint<E> p, ProjectivePoint<E> q)	Returns true if and only if a = b as elements of this set.
E	getA()
E	getB()
Field<E>	getField()
ProjectivePoint<E>	negate(ProjectivePoint<E> p)	Return -a.
String	toString()
String	toString(ProjectivePoint<E> p)	Returns a human-readable string representation of an element in this set.
ProjectivePoint<E>	zero()	Return the zero element.

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, sum

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

add, add

Constructor Details

ShortWeierstrassCurveProjective

public ShortWeierstrassCurveProjective(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 Field<E> getField()

discriminant

public E discriminant()

getA

public E getA()

getB

public E getB()

negate

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

Description copied from interface: AdditiveGroup

Return -a.

Specified by:

negate in interface AdditiveGroup<E>

add

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

Description copied from interface: CommutativeMonoid

Return the result of a+b.

Specified by:

add in interface CommutativeMonoid<E>

zero

public ProjectivePoint<E> zero()

Description copied from interface: CommutativeMonoid

Return the zero element.

Specified by:

zero in interface CommutativeMonoid<E>

toString

public String toString(ProjectivePoint<E> p)

Description copied from interface: Set

Returns a human-readable string representation of an element in this set.

Specified by:

toString in interface Set<E>

equals

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

Description copied from interface: Set

Returns true if and only if a = b as elements of this set.

Specified by:

equals in interface Set<E>

doubling

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

Description copied from interface: AdditiveGroup

Return 2e. The default implementation returns e + e but some implementations may override this with faster implementations.

Specified by:

doubling in interface AdditiveGroup<E>

toString

public String toString()

Overrides:

toString in class Object