Package dk.jonaslindstrom.ruffini.elliptic.structures

Class EdwardsCurve<E,F extends dk.jonaslindstrom.ruffini.common.abstractions.Field<E>>

java.lang.Object

dk.jonaslindstrom.ruffini.elliptic.structures.EdwardsCurve<E,F>

All Implemented Interfaces:

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

public class EdwardsCurve<E,F extends dk.jonaslindstrom.ruffini.common.abstractions.Field<E>>
extends Object
implements dk.jonaslindstrom.ruffini.common.abstractions.AdditiveGroup<EdwardsPoint<E>>

Instances of this class represents a curve over a field over elements of type E satisfying the equation x² + y² = 1 + d x² y².

Constructor Summary

Constructors

Constructor	Description
EdwardsCurve(F field, E d)

Method Summary

Modifier and Type	Method	Description
EdwardsPoint<E>	add(EdwardsPoint<E> a, EdwardsPoint<E> b)
boolean	equals(EdwardsPoint<E> a, EdwardsPoint<E> b)
dk.jonaslindstrom.ruffini.common.util.Pair<MontgomeryCurve<E,F>,java.util.function.Function<EdwardsPoint<E>,AffinePoint<E>>>	getCorrespondingMontgomeryCurve()	Return an elliptic curve in Montgomery form which is birationally equivalent to this curve and a mapping from points on this curve to points on the Montgomery curve.
EdwardsPoint<E>	getZero()
EdwardsPoint<E>	negate(EdwardsPoint<E> a)
String	toString(EdwardsPoint<E> a)

Methods inherited from class java.lang.Object

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

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

doubling, isZero, scale, scale, subtract

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

add, add

Constructor Details

EdwardsCurve

public EdwardsCurve(F field,
 E d)

Method Details

toString

public String toString(EdwardsPoint<E> a)

Specified by:

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

equals

public boolean equals(EdwardsPoint<E> a,
 EdwardsPoint<E> b)

Specified by:

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

add

public EdwardsPoint<E> add(EdwardsPoint<E> a,
 EdwardsPoint<E> b)

Specified by:

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

negate

public EdwardsPoint<E> negate(EdwardsPoint<E> a)

Specified by:

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

getZero

public EdwardsPoint<E> getZero()

Specified by:

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

getCorrespondingMontgomeryCurve

public dk.jonaslindstrom.ruffini.common.util.Pair<MontgomeryCurve<E,F>,java.util.function.Function<EdwardsPoint<E>,AffinePoint<E>>> getCorrespondingMontgomeryCurve()

Return an elliptic curve in Montgomery form which is birationally equivalent to this curve and a mapping from points on this curve to points on the Montgomery curve.