Uses of Class
net.i2p.crypto.eddsa.math.FieldElement

Packages that use FieldElement

Package	Description
net.i2p.crypto.eddsa.math	Data structures that definie curves and fields, and the mathematical operaions on them.
net.i2p.crypto.eddsa.math.bigint	Low-level, non-optimized implementation using BigIntegers for any curve.
net.i2p.crypto.eddsa.math.ed25519	Low-level, optimized implementation using Radix $2^{51}$ for Curve 25519.

Uses of FieldElement in net.i2p.crypto.eddsa.math

Fields in net.i2p.crypto.eddsa.math declared as FieldElement

Modifier and Type	Field	Description
final FieldElement	Field.EIGHT
final FieldElement	Field.FIVE
final FieldElement	Field.FOUR
final FieldElement	Field.ONE
(package private) final FieldElement	GroupElement.T	Variable is package private only so that tests run.
final FieldElement	Field.TWO
(package private) final FieldElement	GroupElement.X	Variable is package private only so that tests run.
(package private) final FieldElement	GroupElement.Y	Variable is package private only so that tests run.
(package private) final FieldElement	GroupElement.Z	Variable is package private only so that tests run.
final FieldElement	Field.ZERO

Methods in net.i2p.crypto.eddsa.math that return FieldElement

Modifier and Type	Method	Description
abstract FieldElement	FieldElement.add(FieldElement val)
FieldElement	FieldElement.addOne()
abstract FieldElement	FieldElement.cmov(FieldElement val, int b)
abstract FieldElement	Encoding.decode(byte[] in)	Decode a FieldElement from its $(b-1)$-bit encoding.
FieldElement	FieldElement.divide(FieldElement val)
FieldElement	Field.fromByteArray(byte[] x)
FieldElement	Curve.get2D()
FieldElement	Curve.getD()
FieldElement	Curve.getI()
FieldElement	Field.getQ()
FieldElement	Field.getQm2()
FieldElement	Field.getQm5d8()
FieldElement	GroupElement.getT()	Gets the $T$ value of the group element.
FieldElement	GroupElement.getX()	Gets the $X$ value of the group element.
FieldElement	GroupElement.getY()	Gets the $Y$ value of the group element.
FieldElement	GroupElement.getZ()	Gets the $Z$ value of the group element.
abstract FieldElement	FieldElement.invert()
abstract FieldElement	FieldElement.multiply(FieldElement val)
abstract FieldElement	FieldElement.negate()
abstract FieldElement	FieldElement.pow22523()
abstract FieldElement	FieldElement.square()
abstract FieldElement	FieldElement.squareAndDouble()
abstract FieldElement	FieldElement.subtract(FieldElement val)
FieldElement	FieldElement.subtractOne()

Methods in net.i2p.crypto.eddsa.math with parameters of type FieldElement

Modifier and Type	Method	Description
abstract FieldElement	FieldElement.add(FieldElement val)
static GroupElement	GroupElement.cached(Curve curve, FieldElement YpX, FieldElement YmX, FieldElement Z, FieldElement T2d)	Creates a new group element in CACHED representation.
abstract FieldElement	FieldElement.cmov(FieldElement val, int b)
FieldElement	FieldElement.divide(FieldElement val)
abstract byte[]	Encoding.encode(FieldElement x)	Encode a FieldElement in its $(b-1)$-bit encoding.
abstract boolean	Encoding.isNegative(FieldElement x)	From the Ed25519 paper: $x$ is negative if the $(b-1)$-bit encoding of $x$ is lexicographically larger than the $(b-1)$-bit encoding of -x.
abstract FieldElement	FieldElement.multiply(FieldElement val)
static GroupElement	GroupElement.p1p1(Curve curve, FieldElement X, FieldElement Y, FieldElement Z, FieldElement T)	Creates a new group element in P1P1 representation.
static GroupElement	GroupElement.p2(Curve curve, FieldElement X, FieldElement Y, FieldElement Z)	Creates a new group element in P2 representation.
static GroupElement	GroupElement.p3(Curve curve, FieldElement X, FieldElement Y, FieldElement Z, FieldElement T)	Creates a new group element in P3 representation, without pre-computation.
static GroupElement	GroupElement.p3(Curve curve, FieldElement X, FieldElement Y, FieldElement Z, FieldElement T, boolean precomputeDoubleOnly)	Creates a new group element in P3 representation, potentially with pre-computation.
static GroupElement	GroupElement.precomp(Curve curve, FieldElement ypx, FieldElement ymx, FieldElement xy2d)	Creates a new group element in PRECOMP representation.
abstract FieldElement	FieldElement.subtract(FieldElement val)

Constructors in net.i2p.crypto.eddsa.math with parameters of type FieldElement

Modifier	Constructor	Description
	Curve(Field f, byte[] d, FieldElement I)
	GroupElement(Curve curve, GroupElement.Representation repr, FieldElement X, FieldElement Y, FieldElement Z, FieldElement T)	Creates a group element for a curve, without any pre-computation.
	GroupElement(Curve curve, GroupElement.Representation repr, FieldElement X, FieldElement Y, FieldElement Z, FieldElement T, boolean precomputeDouble)	Creates a group element for a curve, with optional pre-computation.

Uses of FieldElement in net.i2p.crypto.eddsa.math.bigint

Subclasses of FieldElement in net.i2p.crypto.eddsa.math.bigint

Modifier and Type	Class	Description
class	BigIntegerFieldElement	A particular element of the field \Z/(2^255-19).

Methods in net.i2p.crypto.eddsa.math.bigint that return FieldElement

Modifier and Type	Method	Description
FieldElement	BigIntegerFieldElement.add(FieldElement val)
FieldElement	BigIntegerFieldElement.addOne()
FieldElement	BigIntegerFieldElement.cmov(FieldElement val, int b)
FieldElement	BigIntegerLittleEndianEncoding.decode(byte[] in)	Decode a FieldElement from its $(b-1)$-bit encoding.
FieldElement	BigIntegerFieldElement.divide(BigInteger val)
FieldElement	BigIntegerFieldElement.divide(FieldElement val)
FieldElement	BigIntegerFieldElement.invert()
FieldElement	BigIntegerFieldElement.mod(FieldElement m)
FieldElement	BigIntegerFieldElement.modPow(FieldElement e, FieldElement m)
FieldElement	BigIntegerFieldElement.multiply(FieldElement val)
FieldElement	BigIntegerFieldElement.negate()
FieldElement	BigIntegerFieldElement.pow(FieldElement e)
FieldElement	BigIntegerFieldElement.pow22523()
FieldElement	BigIntegerFieldElement.square()
FieldElement	BigIntegerFieldElement.squareAndDouble()
FieldElement	BigIntegerFieldElement.subtract(FieldElement val)
FieldElement	BigIntegerFieldElement.subtractOne()

Methods in net.i2p.crypto.eddsa.math.bigint with parameters of type FieldElement

Modifier and Type	Method	Description
FieldElement	BigIntegerFieldElement.add(FieldElement val)
FieldElement	BigIntegerFieldElement.cmov(FieldElement val, int b)
FieldElement	BigIntegerFieldElement.divide(FieldElement val)
byte[]	BigIntegerLittleEndianEncoding.encode(FieldElement x)
boolean	BigIntegerLittleEndianEncoding.isNegative(FieldElement x)	From the Ed25519 paper: $x$ is negative if the $(b-1)$-bit encoding of $x$ is lexicographically larger than the $(b-1)$-bit encoding of $-x$.
FieldElement	BigIntegerFieldElement.mod(FieldElement m)
FieldElement	BigIntegerFieldElement.modPow(FieldElement e, FieldElement m)
FieldElement	BigIntegerFieldElement.multiply(FieldElement val)
FieldElement	BigIntegerFieldElement.pow(FieldElement e)
FieldElement	BigIntegerFieldElement.subtract(FieldElement val)

Uses of FieldElement in net.i2p.crypto.eddsa.math.ed25519

Subclasses of FieldElement in net.i2p.crypto.eddsa.math.ed25519

Modifier and Type	Class	Description
class	Ed25519FieldElement	Class to represent a field element of the finite field $p = 2^{255} - 19$ elements.

Methods in net.i2p.crypto.eddsa.math.ed25519 that return FieldElement

Modifier and Type	Method	Description
FieldElement	Ed25519FieldElement.add(FieldElement val)	$h = f + g$
FieldElement	Ed25519FieldElement.cmov(FieldElement val, int b)	Constant-time conditional move.
FieldElement	Ed25519LittleEndianEncoding.decode(byte[] in)	Decodes a given field element in its 10 byte $2^{25.5}$ representation.
FieldElement	Ed25519FieldElement.invert()	Invert this field element.
FieldElement	Ed25519FieldElement.multiply(FieldElement val)	$h = f * g$
FieldElement	Ed25519FieldElement.negate()	$h = -f$
FieldElement	Ed25519FieldElement.pow22523()	Gets this field element to the power of $(2^{252} - 3)$.
FieldElement	Ed25519FieldElement.square()	$h = f * f$
FieldElement	Ed25519FieldElement.squareAndDouble()	$h = 2 * f * f$
FieldElement	Ed25519FieldElement.subtract(FieldElement val)	$h = f - g$

Methods in net.i2p.crypto.eddsa.math.ed25519 with parameters of type FieldElement

Modifier and Type	Method	Description
FieldElement	Ed25519FieldElement.add(FieldElement val)	$h = f + g$
FieldElement	Ed25519FieldElement.cmov(FieldElement val, int b)	Constant-time conditional move.
byte[]	Ed25519LittleEndianEncoding.encode(FieldElement x)	Encodes a given field element in its 32 byte representation.
boolean	Ed25519LittleEndianEncoding.isNegative(FieldElement x)	Is the FieldElement negative in this encoding?
FieldElement	Ed25519FieldElement.multiply(FieldElement val)	$h = f * g$
FieldElement	Ed25519FieldElement.subtract(FieldElement val)	$h = f - g$