## Uses of Class
org.mariadb.jdbc.plugin.authentication.standard.ed25519.math.FieldElement

Packages that use FieldElement
org.mariadb.jdbc.plugin.authentication.standard.ed25519.math
org.mariadb.jdbc.plugin.authentication.standard.ed25519.math.ed25519

### Uses of FieldElement in org.mariadb.jdbc.plugin.authentication.standard.ed25519.math

Fields in org.mariadb.jdbc.plugin.authentication.standard.ed25519.math declared as FieldElement
`FieldElement` Field.`EIGHT`
`FieldElement` Field.`FIVE`
`FieldElement` Field.`FOUR`
`FieldElement` Field.`ONE`
`FieldElement` Field.`TWO`
`FieldElement` Field.`ZERO`

Methods in org.mariadb.jdbc.plugin.authentication.standard.ed25519.math that return FieldElement
`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()`
`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 org.mariadb.jdbc.plugin.authentication.standard.ed25519.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.
`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 org.mariadb.jdbc.plugin.authentication.standard.ed25519.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, 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 org.mariadb.jdbc.plugin.authentication.standard.ed25519.math.ed25519

Subclasses of FieldElement in org.mariadb.jdbc.plugin.authentication.standard.ed25519.math.ed25519
`class` `Ed25519FieldElement` Class to represent a field element of the finite field $p = 2^{255} - 19$ elements.

Methods in org.mariadb.jdbc.plugin.authentication.standard.ed25519.math.ed25519 that return FieldElement
`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 org.mariadb.jdbc.plugin.authentication.standard.ed25519.math.ed25519 with parameters of type FieldElement
`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)` $h = f - g$