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

Packages that use FieldElement
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
 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
abstract  FieldElement FieldElement.add(FieldElement val)
           
 FieldElement FieldElement.addOne()
           
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
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.
 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.
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
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.
 

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

Subclasses of FieldElement in net.i2p.crypto.eddsa.math.bigint
 class BigIntegerFieldElement
          A particular element of the field \Z/(2^255-19).
 

Methods in net.i2p.crypto.eddsa.math.bigint that return FieldElement
 FieldElement BigIntegerFieldElement.add(FieldElement val)
           
 FieldElement BigIntegerFieldElement.addOne()
           
 FieldElement BigIntegerLittleEndianEncoding.decode(byte[] in)
           
 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
 FieldElement BigIntegerFieldElement.add(FieldElement val)
           
 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
 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
 FieldElement Ed25519FieldElement.add(FieldElement val)
          h = f + g
 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
 FieldElement Ed25519FieldElement.add(FieldElement val)
          h = f + g
 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