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
`FieldElement`	Field.`EIGHT`
`FieldElement`	Field.`FIVE`
`FieldElement`	Field.`FOUR`
`FieldElement`	Field.`ONE`
`(package private) FieldElement`	GroupElement.`T`	Variable is package private only so that tests run.
`FieldElement`	Field.`TWO`
`(package private) FieldElement`	GroupElement.`X`	Variable is package private only so that tests run.
`(package private) FieldElement`	GroupElement.`Y`	Variable is package private only so that tests run.
`(package private) FieldElement`	GroupElement.`Z`	Variable is package private only so that tests run.
`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
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)`	$h = f - g$

Uses of Classnet.i2p.crypto.eddsa.math.FieldElement

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

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

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

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