com.singlestore.jdbc.plugin.authentication.standard.ed25519.math

Enum GroupElement.Representation

java.lang.Object

java.lang.Enum<GroupElement.Representation>

com.singlestore.jdbc.plugin.authentication.standard.ed25519.math.GroupElement.Representation

All Implemented Interfaces:

Serializable, Comparable<GroupElement.Representation>

Enclosing class:

GroupElement

public static enum GroupElement.Representation
extends Enum<GroupElement.Representation>

Available representations for a group element.

• P2: Projective representation $(X:Y:Z)$ satisfying $x=X/Z, y=Y/Z$.
• P3: Extended projective representation $(X:Y:Z:T)$ satisfying $x=X/Z, y=Y/Z, XY=ZT$.
• P3PrecomputedDouble: P3 but with dblPrecmp populated.
• P1P1: Completed representation $((X:Z), (Y:T))$ satisfying $x=X/Z, y=Y/T$.
• PRECOMP: Precomputed representation $(y+x, y-x, 2dxy)$.
• CACHED: Cached representation $(Y+X, Y-X, Z, 2dT)$

Enum Constant Summary

Enum Constants

Enum Constant and Description
CACHED Cached: $(Y+X,Y-X,Z,2dT)$
P1P1 Completed ($P \times P$): $((X:Z),(Y:T))$ satisfying $x=X/Z, y=Y/T$
P2 Projective ($P^2$): $(X:Y:Z)$ satisfying $x=X/Z, y=Y/Z$
P3 Extended ($P^3$): $(X:Y:Z:T)$ satisfying $x=X/Z, y=Y/Z, XY=ZT$
P3PrecomputedDouble Can only be requested.
PRECOMP Precomputed (Duif): $(y+x,y-x,2dxy)$

Method Summary

Modifier and Type	Method and Description
static GroupElement.Representation	valueOf(String name) Returns the enum constant of this type with the specified name.
static GroupElement.Representation[]	values() Returns an array containing the constants of this enum type, in the order they are declared.

Methods inherited from class java.lang.Enum

clone, compareTo, equals, finalize, getDeclaringClass, hashCode, name, ordinal, toString, valueOf

Methods inherited from class java.lang.Object

getClass, notify, notifyAll, wait, wait, wait

Enum Constant Detail

P2

public static final GroupElement.Representation P2

Projective ($P^2$): $(X:Y:Z)$ satisfying $x=X/Z, y=Y/Z$

P3

public static final GroupElement.Representation P3

Extended ($P^3$): $(X:Y:Z:T)$ satisfying $x=X/Z, y=Y/Z, XY=ZT$

P3PrecomputedDouble

public static final GroupElement.Representation P3PrecomputedDouble

Can only be requested. Results in P3 representation but also populates dblPrecmp.

P1P1

public static final GroupElement.Representation P1P1

Completed ($P \times P$): $((X:Z),(Y:T))$ satisfying $x=X/Z, y=Y/T$

PRECOMP

public static final GroupElement.Representation PRECOMP

Precomputed (Duif): $(y+x,y-x,2dxy)$

CACHED

public static final GroupElement.Representation CACHED

Cached: $(Y+X,Y-X,Z,2dT)$

Method Detail

values

public static GroupElement.Representation[] values()

Returns an array containing the constants of this enum type, in the order they are declared. This method may be used to iterate over the constants as follows:

for (GroupElement.Representation c : GroupElement.Representation.values())
    System.out.println(c);

Returns:

an array containing the constants of this enum type, in the order they are declared

valueOf

public static GroupElement.Representation valueOf(String name)

Returns the enum constant of this type with the specified name. The string must match exactly an identifier used to declare an enum constant in this type. (Extraneous whitespace characters are not permitted.)

Parameters:

name - the name of the enum constant to be returned.

Returns:

the enum constant with the specified name

Throws:

IllegalArgumentException - if this enum type has no constant with the specified name

NullPointerException - if the argument is null