Uses of Interface
iaik.security.ec.math.field.GenericFieldElement

Packages that use GenericFieldElement

Package	Description
iaik.security.ec.math.curve
iaik.security.ec.math.field

Uses of GenericFieldElement in iaik.security.ec.math.curve

Methods in iaik.security.ec.math.curve that return GenericFieldElement

Modifier and Type	Method and Description
GenericFieldElement	Coordinate.getDenominator() Get denominator if available.
GenericFieldElement	Coordinate.getX() Returns the x-coordinate.
GenericFieldElement	Coordinate.getY() Returns the y-coordinate.

Methods in iaik.security.ec.math.curve with parameters of type GenericFieldElement

Modifier and Type	Method and Description
abstract ECPoint	EllipticCurve.getPoint(GenericFieldElement x) Returns a point on the curve corresponding to x, if x is a valid x-coordinate.
abstract ECPoint	EllipticCurve.getPoint(GenericFieldElement x, int yBit) Returns a point on the curve corresponding to x and yBit (which uniquely determines the y-coordinate), if x is a valid x-coordinate.
abstract ECPoint	EllipticCurve.newPoint(GenericFieldElement x, GenericFieldElement y) Returns a point on the curve corresponding to (x,y), if (x,y) is a point on the curve.

Uses of GenericFieldElement in iaik.security.ec.math.field

Subinterfaces of GenericFieldElement in iaik.security.ec.math.field

Modifier and Type	Interface and Description
interface	ExtensionFieldElement This interface describes the methods every field element of an extension field has to provide.
interface	FieldElement This interface represents elements of finite fields and provides the most important arithmetical methods.
interface	PrimeCharacteristicFieldElement This interface describes the methods every prime characteristic field element has to provide.

Classes in iaik.security.ec.math.field that implement GenericFieldElement

Modifier and Type	Class and Description
class	BinaryFieldElement This class represents a mutable binary field element.
class	PrimeFieldElement This class represents a mutable prime field element.
class	QuadraticExtensionFieldElement This class represents elements of quadratic extension fields.
class	SexticExtensionFieldElement This class stores field elements of sextic extensions over some other field.

Fields in iaik.security.ec.math.field declared as GenericFieldElement

Modifier and Type	Field and Description
protected GenericFieldElement	AbstractFieldBenchmark.a_
protected GenericFieldElement	AbstractFieldBenchmark.b_

Methods in iaik.security.ec.math.field that return GenericFieldElement

Modifier and Type	Method and Description
GenericFieldElement	AbstractFieldBenchmark.add()
GenericFieldElement	GenericFieldElement.add(GenericFieldElement b) Adds b to this.
GenericFieldElement	GenericField.add(GenericFieldElement a, GenericFieldElement b) Adds b to a, i.e.
GenericFieldElement	GenericFieldElement.addBase(GenericFieldElement b) Adds b to this where b is an element of the underlying base field.
GenericFieldElement	AbstractFieldBenchmark.addOutOfPlace()
GenericFieldElement	GenericFieldElement.addOutOfPlace(GenericFieldElement b) Adds this with b which is an element of the base field, where a new object holding the result is created.
GenericFieldElement	GenericFieldElement.clone() Clones the value of this field element.
GenericFieldElement	AbstractFieldBenchmark.divide()
GenericFieldElement	GenericFieldElement.divide(GenericFieldElement b) Divides this and another field elements.
GenericFieldElement	GenericField.divide(GenericFieldElement a, GenericFieldElement b) Divides a by b, i.e.
GenericFieldElement	GenericFieldElement.exponentiate(BigInteger n) Raises this to the power n.
GenericFieldElement	GenericField.exponentiate(GenericFieldElement a, BigInteger n) Raises a to the power n, i.e.
GenericFieldElement	GenericField.exponentiate(GenericFieldElement a, int n) Raises a to the power n, i.e.
GenericFieldElement	GenericFieldElement.exponentiate(int n) Raises this to the power n.
GenericFieldElement	GenericField.exponentiateByPowerOf2(GenericFieldElement a, int n) Raises a to the power 2n.
GenericFieldElement	GenericFieldElement.exponentiateByPowerOf2(int n) Raise this to the power of 2^n.
GenericFieldElement	GenericFieldElement.exponentiateOutOfPlace(BigInteger n) Raises this to the power n.
GenericFieldElement	GenericFieldElement.exponentiateOutOfPlace(int n) Raises this to the power n.
GenericFieldElement	GenericField.getOne() Returns the one element.
GenericFieldElement[]	ExtensionFieldElement.getValues() Get subfield elements used to represent this.
GenericFieldElement[]	SexticExtensionFieldElement.getValues()
GenericFieldElement[]	QuadraticExtensionFieldElement.getValues()
GenericFieldElement	GenericField.getZero() Returns the zero element.
GenericFieldElement	AbstractFieldBenchmark.invert()
GenericFieldElement	GenericFieldElement.invert() Sets this to its inverse.
GenericFieldElement	GenericField.invert(GenericFieldElement a) Inverts a, i.e.
GenericFieldElement[]	BinaryField.invertElements(GenericFieldElement[] elements)
GenericFieldElement[]	GenericField.invertElements(GenericFieldElement[] elements) Simultaneously inverts an an array of field elements.
GenericFieldElement[]	AbstractPrimeField.invertElements(GenericFieldElement[] elements)
GenericFieldElement	AbstractFieldBenchmark.multiply()
GenericFieldElement	GenericFieldElement.multiply(BigInteger n) Multiples this by n.
GenericFieldElement	GenericFieldElement.multiply(GenericFieldElement b) Multiplies this with b which is an element of the same field.
GenericFieldElement	GenericField.multiply(GenericFieldElement a, BigInteger n) Multiplies a by n, i.e.
GenericFieldElement	GenericField.multiply(GenericFieldElement a, GenericFieldElement b) Multiplies a by b, i.e.
GenericFieldElement	GenericFieldElement.multiplyByBase(GenericFieldElement b) Multiplies this with b which is an element of the base field.
GenericFieldElement	GenericFieldElement.multiplyByBaseOutOfPlace(GenericFieldElement b) Multiplies this with b which is an element of the base field, where a new object holding the result is created.
GenericFieldElement	AbstractFieldBenchmark.multiplyOutOfPlace()
GenericFieldElement	GenericFieldElement.multiplyOutOfPlace(BigInteger n) Multiples this by n, where a new object holding the result is created.
GenericFieldElement	GenericFieldElement.multiplyOutOfPlace(GenericFieldElement b) Multiplies this with b which is an element of the same field, where a new object holding the result is created.
GenericFieldElement	GenericField.multiplyOutOfPlace(GenericFieldElement a, BigInteger n) Multiplies a by n, i.e.
GenericFieldElement	GenericField.multiplyOutOfPlace(GenericFieldElement a, GenericFieldElement b) Multiplies a by b, i.e.
GenericFieldElement	GenericFieldElement.negate() Returns the negative of this.
GenericFieldElement	GenericField.negate(GenericFieldElement a) Negates a, i.e.
GenericFieldElement	GenericFieldElement.negateOutOfPlace() Returns the negative of this, where a new object holding the result is created.
GenericFieldElement	GenericField.negateOutOfPlace(GenericFieldElement a) Negates a, i.e.
GenericFieldElement	GenericField.newElement(byte[] bytes) Create new field element from byte-array representation.
GenericFieldElement	AbstractFieldBenchmark.square()
GenericFieldElement	GenericFieldElement.square() Computes the square of this in-place.
GenericFieldElement	GenericField.square(GenericFieldElement a) Squares a, i.e.
GenericFieldElement	AbstractFieldBenchmark.squareOutOfPlace()
GenericFieldElement	GenericFieldElement.squareOutOfPlace() Computes the square of this, where a new object holding the result is created.
GenericFieldElement	GenericField.squareOutOfPlace(GenericFieldElement a) Squares a, i.e.
GenericFieldElement	AbstractFieldBenchmark.squareRoot()
GenericFieldElement	GenericFieldElement.squareRoot() Computes the square root of this in-place.
GenericFieldElement	AbstractFieldBenchmark.subtract()
GenericFieldElement	GenericFieldElement.subtract(GenericFieldElement b) Subtracts b from this.
GenericFieldElement	GenericField.subtract(GenericFieldElement a, GenericFieldElement b) Subtracts b from a, i.e.
GenericFieldElement	AbstractFieldBenchmark.subtractOutOfPlace()
GenericFieldElement	GenericFieldElement.subtractOutOfPlace(GenericFieldElement b) Subtracts b from this which is an element of the base field, where a new object holding the result is created.
GenericFieldElement	GenericField.toElement(byte[] bytes) Create new field element from a byte-array.

Methods in iaik.security.ec.math.field with parameters of type GenericFieldElement

Modifier and Type	Method and Description
FieldElement	FieldElement.add(GenericFieldElement b)
ExtensionFieldElement	ExtensionFieldElement.add(GenericFieldElement b)
SexticExtensionFieldElement	SexticExtensionFieldElement.add(GenericFieldElement b)
PrimeFieldElement	PrimeFieldElement.add(GenericFieldElement b)
BinaryFieldElement	BinaryFieldElement.add(GenericFieldElement b)
GenericFieldElement	GenericFieldElement.add(GenericFieldElement b) Adds b to this.
PrimeCharacteristicFieldElement	PrimeCharacteristicFieldElement.add(GenericFieldElement b)
QuadraticExtensionFieldElement	QuadraticExtensionFieldElement.add(GenericFieldElement b)
FieldElement	Field.add(GenericFieldElement a, GenericFieldElement b)
PrimeCharacteristicFieldElement	PrimeCharacteristicField.add(GenericFieldElement a, GenericFieldElement b)
BinaryFieldElement	BinaryField.add(GenericFieldElement a, GenericFieldElement b)
GenericFieldElement	GenericField.add(GenericFieldElement a, GenericFieldElement b) Adds b to a, i.e.
SexticExtensionFieldElement	SexticOverQuadraticTowerExtensionField.add(GenericFieldElement a, GenericFieldElement b)
ExtensionFieldElement	ExtensionField.add(GenericFieldElement a, GenericFieldElement b)
PrimeFieldElement	AbstractPrimeField.add(GenericFieldElement a, GenericFieldElement b)
FieldElement	FieldElement.addBase(GenericFieldElement B)
ExtensionFieldElement	ExtensionFieldElement.addBase(GenericFieldElement b)
SexticExtensionFieldElement	SexticExtensionFieldElement.addBase(GenericFieldElement b)
PrimeFieldElement	PrimeFieldElement.addBase(GenericFieldElement b)
BinaryFieldElement	BinaryFieldElement.addBase(GenericFieldElement b)
GenericFieldElement	GenericFieldElement.addBase(GenericFieldElement b) Adds b to this where b is an element of the underlying base field.
PrimeCharacteristicFieldElement	PrimeCharacteristicFieldElement.addBase(GenericFieldElement b)
QuadraticExtensionFieldElement	QuadraticExtensionFieldElement.addBase(GenericFieldElement b)
ExtensionFieldElement	ExtensionFieldElement.addOutOfPlace(GenericFieldElement b)
SexticExtensionFieldElement	SexticExtensionFieldElement.addOutOfPlace(GenericFieldElement b)
PrimeFieldElement	PrimeFieldElement.addOutOfPlace(GenericFieldElement b)
BinaryFieldElement	BinaryFieldElement.addOutOfPlace(GenericFieldElement b)
GenericFieldElement	GenericFieldElement.addOutOfPlace(GenericFieldElement b) Adds this with b which is an element of the base field, where a new object holding the result is created.
PrimeCharacteristicFieldElement	PrimeCharacteristicFieldElement.addOutOfPlace(GenericFieldElement b) Adds two elements and returns a new object holding the result.
QuadraticExtensionFieldElement	QuadraticExtensionFieldElement.addOutOfPlace(GenericFieldElement b)
BinaryFieldElement	BinaryField.addOutOfPlace(GenericFieldElement a, GenericFieldElement b) Adds two elements and returns a new object holding the result.
FieldElement	FieldElement.divide(GenericFieldElement b)
ExtensionFieldElement	ExtensionFieldElement.divide(GenericFieldElement b) Divides this and another field elements.
SexticExtensionFieldElement	SexticExtensionFieldElement.divide(GenericFieldElement b)
PrimeFieldElement	PrimeFieldElement.divide(GenericFieldElement b) Divides this and another field elements.
BinaryFieldElement	BinaryFieldElement.divide(GenericFieldElement b)
GenericFieldElement	GenericFieldElement.divide(GenericFieldElement b) Divides this and another field elements.
PrimeCharacteristicFieldElement	PrimeCharacteristicFieldElement.divide(GenericFieldElement b)
QuadraticExtensionFieldElement	QuadraticExtensionFieldElement.divide(GenericFieldElement b)
FieldElement	Field.divide(GenericFieldElement a, GenericFieldElement b)
PrimeCharacteristicFieldElement	PrimeCharacteristicField.divide(GenericFieldElement a, GenericFieldElement b)
BinaryFieldElement	BinaryField.divide(GenericFieldElement a, GenericFieldElement b)
GenericFieldElement	GenericField.divide(GenericFieldElement a, GenericFieldElement b) Divides a by b, i.e.
SexticExtensionFieldElement	SexticOverQuadraticTowerExtensionField.divide(GenericFieldElement a, GenericFieldElement b)
ExtensionFieldElement	ExtensionField.divide(GenericFieldElement a, GenericFieldElement b)
PrimeFieldElement	AbstractPrimeField.divide(GenericFieldElement a, GenericFieldElement b) Divides a by b, i.e.
FieldElement	Field.exponentiate(GenericFieldElement a, BigInteger n)
PrimeCharacteristicFieldElement	PrimeCharacteristicField.exponentiate(GenericFieldElement a, BigInteger n)
BinaryFieldElement	BinaryField.exponentiate(GenericFieldElement a, BigInteger n)
GenericFieldElement	GenericField.exponentiate(GenericFieldElement a, BigInteger n) Raises a to the power n, i.e.
ExtensionFieldElement	ExtensionField.exponentiate(GenericFieldElement a, BigInteger n)
PrimeFieldElement	AbstractPrimeField.exponentiate(GenericFieldElement a, BigInteger n)
BinaryFieldElement	BinaryField.exponentiate(GenericFieldElement a, int n)
GenericFieldElement	GenericField.exponentiate(GenericFieldElement a, int n) Raises a to the power n, i.e.
PrimeFieldElement	AbstractPrimeField.exponentiate(GenericFieldElement a, int n)
FieldElement	Field.exponentiateByPowerOf2(GenericFieldElement a, int n)
PrimeCharacteristicFieldElement	PrimeCharacteristicField.exponentiateByPowerOf2(GenericFieldElement a, int n)
BinaryFieldElement	BinaryField.exponentiateByPowerOf2(GenericFieldElement a, int n)
GenericFieldElement	GenericField.exponentiateByPowerOf2(GenericFieldElement a, int n) Raises a to the power 2n.
ExtensionFieldElement	ExtensionField.exponentiateByPowerOf2(GenericFieldElement a, int n)
PrimeFieldElement	AbstractPrimeField.exponentiateByPowerOf2(GenericFieldElement a, int n)
FieldElement	Field.invert(GenericFieldElement a)
PrimeCharacteristicFieldElement	PrimeCharacteristicField.invert(GenericFieldElement a)
BinaryFieldElement	BinaryField.invert(GenericFieldElement a)
GenericFieldElement	GenericField.invert(GenericFieldElement a) Inverts a, i.e.
SexticExtensionFieldElement	SexticOverQuadraticTowerExtensionField.invert(GenericFieldElement a)
QuadraticExtensionFieldElement	QuadraticExtensionField.invert(GenericFieldElement a)
ExtensionFieldElement	ExtensionField.invert(GenericFieldElement a)
PrimeFieldElement	AbstractPrimeField.invert(GenericFieldElement a)
GenericFieldElement[]	BinaryField.invertElements(GenericFieldElement[] elements)
GenericFieldElement[]	GenericField.invertElements(GenericFieldElement[] elements) Simultaneously inverts an an array of field elements.
GenericFieldElement[]	AbstractPrimeField.invertElements(GenericFieldElement[] elements)
FieldElement	FieldElement.multiply(GenericFieldElement b)
ExtensionFieldElement	ExtensionFieldElement.multiply(GenericFieldElement b)
SexticExtensionFieldElement	SexticExtensionFieldElement.multiply(GenericFieldElement b)
PrimeFieldElement	PrimeFieldElement.multiply(GenericFieldElement b)
BinaryFieldElement	BinaryFieldElement.multiply(GenericFieldElement b)
GenericFieldElement	GenericFieldElement.multiply(GenericFieldElement b) Multiplies this with b which is an element of the same field.
PrimeCharacteristicFieldElement	PrimeCharacteristicFieldElement.multiply(GenericFieldElement b)
QuadraticExtensionFieldElement	QuadraticExtensionFieldElement.multiply(GenericFieldElement b)
FieldElement	Field.multiply(GenericFieldElement a, BigInteger n)
PrimeCharacteristicFieldElement	PrimeCharacteristicField.multiply(GenericFieldElement a, BigInteger n)
BinaryFieldElement	BinaryField.multiply(GenericFieldElement a, BigInteger b)
GenericFieldElement	GenericField.multiply(GenericFieldElement a, BigInteger n) Multiplies a by n, i.e.
SexticExtensionFieldElement	SexticOverQuadraticTowerExtensionField.multiply(GenericFieldElement a, BigInteger n)
QuadraticExtensionFieldElement	QuadraticExtensionField.multiply(GenericFieldElement a, BigInteger n)
ExtensionFieldElement	ExtensionField.multiply(GenericFieldElement a, BigInteger n)
PrimeFieldElement	AbstractPrimeField.multiply(GenericFieldElement a, BigInteger n)
FieldElement	Field.multiply(GenericFieldElement a, GenericFieldElement b)
PrimeCharacteristicFieldElement	PrimeCharacteristicField.multiply(GenericFieldElement a, GenericFieldElement b)
BinaryFieldElement	BinaryField.multiply(GenericFieldElement a, GenericFieldElement b)
GenericFieldElement	GenericField.multiply(GenericFieldElement a, GenericFieldElement b) Multiplies a by b, i.e.
SexticExtensionFieldElement	SexticOverQuadraticTowerExtensionField.multiply(GenericFieldElement a, GenericFieldElement b)
QuadraticExtensionFieldElement	QuadraticExtensionField.multiply(GenericFieldElement a, GenericFieldElement b)
ExtensionFieldElement	ExtensionField.multiply(GenericFieldElement a, GenericFieldElement b)
PrimeFieldElement	AbstractPrimeField.multiply(GenericFieldElement a, GenericFieldElement b)
FieldElement	FieldElement.multiplyByBase(GenericFieldElement b)
ExtensionFieldElement	ExtensionFieldElement.multiplyByBase(GenericFieldElement b)
SexticExtensionFieldElement	SexticExtensionFieldElement.multiplyByBase(GenericFieldElement b)
PrimeFieldElement	PrimeFieldElement.multiplyByBase(GenericFieldElement b)
BinaryFieldElement	BinaryFieldElement.multiplyByBase(GenericFieldElement b)
GenericFieldElement	GenericFieldElement.multiplyByBase(GenericFieldElement b) Multiplies this with b which is an element of the base field.
PrimeCharacteristicFieldElement	PrimeCharacteristicFieldElement.multiplyByBase(GenericFieldElement b)
QuadraticExtensionFieldElement	QuadraticExtensionFieldElement.multiplyByBase(GenericFieldElement b)
FieldElement	FieldElement.multiplyByBaseOutOfPlace(GenericFieldElement b)
PrimeCharacteristicFieldElement	SexticExtensionFieldElement.multiplyByBaseOutOfPlace(GenericFieldElement b)
PrimeFieldElement	PrimeFieldElement.multiplyByBaseOutOfPlace(GenericFieldElement b)
BinaryFieldElement	BinaryFieldElement.multiplyByBaseOutOfPlace(GenericFieldElement b)
GenericFieldElement	GenericFieldElement.multiplyByBaseOutOfPlace(GenericFieldElement b) Multiplies this with b which is an element of the base field, where a new object holding the result is created.
PrimeCharacteristicFieldElement	PrimeCharacteristicFieldElement.multiplyByBaseOutOfPlace(GenericFieldElement b)
QuadraticExtensionFieldElement	QuadraticExtensionFieldElement.multiplyByBaseOutOfPlace(GenericFieldElement b)
FieldElement	FieldElement.multiplyOutOfPlace(GenericFieldElement b)
ExtensionFieldElement	ExtensionFieldElement.multiplyOutOfPlace(GenericFieldElement b)
SexticExtensionFieldElement	SexticExtensionFieldElement.multiplyOutOfPlace(GenericFieldElement b)
PrimeFieldElement	PrimeFieldElement.multiplyOutOfPlace(GenericFieldElement b)
BinaryFieldElement	BinaryFieldElement.multiplyOutOfPlace(GenericFieldElement b)
GenericFieldElement	GenericFieldElement.multiplyOutOfPlace(GenericFieldElement b) Multiplies this with b which is an element of the same field, where a new object holding the result is created.
PrimeCharacteristicFieldElement	PrimeCharacteristicFieldElement.multiplyOutOfPlace(GenericFieldElement b)
QuadraticExtensionFieldElement	QuadraticExtensionFieldElement.multiplyOutOfPlace(GenericFieldElement b)
FieldElement	Field.multiplyOutOfPlace(GenericFieldElement a, BigInteger n)
BinaryFieldElement	BinaryField.multiplyOutOfPlace(GenericFieldElement a, BigInteger b)
GenericFieldElement	GenericField.multiplyOutOfPlace(GenericFieldElement a, BigInteger n) Multiplies a by n, i.e.
SexticExtensionFieldElement	SexticOverQuadraticTowerExtensionField.multiplyOutOfPlace(GenericFieldElement a, BigInteger n)
QuadraticExtensionFieldElement	QuadraticExtensionField.multiplyOutOfPlace(GenericFieldElement a, BigInteger n)
PrimeFieldElement	AbstractPrimeField.multiplyOutOfPlace(GenericFieldElement a, BigInteger n)
FieldElement	Field.multiplyOutOfPlace(GenericFieldElement a, GenericFieldElement b)
BinaryFieldElement	BinaryField.multiplyOutOfPlace(GenericFieldElement a, GenericFieldElement b)
GenericFieldElement	GenericField.multiplyOutOfPlace(GenericFieldElement a, GenericFieldElement b) Multiplies a by b, i.e.
SexticExtensionFieldElement	SexticOverQuadraticTowerExtensionField.multiplyOutOfPlace(GenericFieldElement a, GenericFieldElement b)
QuadraticExtensionFieldElement	QuadraticExtensionField.multiplyOutOfPlace(GenericFieldElement a, GenericFieldElement b)
PrimeFieldElement	AbstractPrimeField.multiplyOutOfPlace(GenericFieldElement a, GenericFieldElement b)
FieldElement	Field.negate(GenericFieldElement a)
PrimeCharacteristicFieldElement	PrimeCharacteristicField.negate(GenericFieldElement a)
BinaryFieldElement	BinaryField.negate(GenericFieldElement a)
GenericFieldElement	GenericField.negate(GenericFieldElement a) Negates a, i.e.
SexticExtensionFieldElement	SexticOverQuadraticTowerExtensionField.negate(GenericFieldElement a)
ExtensionFieldElement	ExtensionField.negate(GenericFieldElement a)
PrimeFieldElement	AbstractPrimeField.negate(GenericFieldElement a)
FieldElement	Field.negateOutOfPlace(GenericFieldElement a)
BinaryFieldElement	BinaryField.negateOutOfPlace(GenericFieldElement a)
GenericFieldElement	GenericField.negateOutOfPlace(GenericFieldElement a) Negates a, i.e.
SexticExtensionFieldElement	SexticOverQuadraticTowerExtensionField.negateOutOfPlace(GenericFieldElement a)
PrimeFieldElement	AbstractPrimeField.negateOutOfPlace(GenericFieldElement a)
FieldElement	Field.square(GenericFieldElement a)
PrimeCharacteristicFieldElement	PrimeCharacteristicField.square(GenericFieldElement a)
BinaryFieldElement	BinaryField.square(GenericFieldElement a)
GenericFieldElement	GenericField.square(GenericFieldElement a) Squares a, i.e.
SexticExtensionFieldElement	SexticOverQuadraticTowerExtensionField.square(GenericFieldElement a)
QuadraticExtensionFieldElement	QuadraticExtensionField.square(GenericFieldElement a)
ExtensionFieldElement	ExtensionField.square(GenericFieldElement a)
PrimeFieldElement	AbstractPrimeField.square(GenericFieldElement a)
FieldElement	Field.squareOutOfPlace(GenericFieldElement a)
BinaryFieldElement	BinaryField.squareOutOfPlace(GenericFieldElement a)
GenericFieldElement	GenericField.squareOutOfPlace(GenericFieldElement a) Squares a, i.e.
SexticExtensionFieldElement	SexticOverQuadraticTowerExtensionField.squareOutOfPlace(GenericFieldElement a)
QuadraticExtensionFieldElement	QuadraticExtensionField.squareOutOfPlace(GenericFieldElement a)
PrimeFieldElement	AbstractPrimeField.squareOutOfPlace(GenericFieldElement a)
FieldElement	FieldElement.subtract(GenericFieldElement b)
ExtensionFieldElement	ExtensionFieldElement.subtract(GenericFieldElement b)
SexticExtensionFieldElement	SexticExtensionFieldElement.subtract(GenericFieldElement b)
PrimeFieldElement	PrimeFieldElement.subtract(GenericFieldElement b)
BinaryFieldElement	BinaryFieldElement.subtract(GenericFieldElement b)
GenericFieldElement	GenericFieldElement.subtract(GenericFieldElement b) Subtracts b from this.
PrimeCharacteristicFieldElement	PrimeCharacteristicFieldElement.subtract(GenericFieldElement b)
QuadraticExtensionFieldElement	QuadraticExtensionFieldElement.subtract(GenericFieldElement b)
FieldElement	Field.subtract(GenericFieldElement a, GenericFieldElement b)
PrimeCharacteristicFieldElement	PrimeCharacteristicField.subtract(GenericFieldElement a, GenericFieldElement b)
BinaryFieldElement	BinaryField.subtract(GenericFieldElement a, GenericFieldElement b)
GenericFieldElement	GenericField.subtract(GenericFieldElement a, GenericFieldElement b) Subtracts b from a, i.e.
SexticExtensionFieldElement	SexticOverQuadraticTowerExtensionField.subtract(GenericFieldElement a, GenericFieldElement b)
ExtensionFieldElement	ExtensionField.subtract(GenericFieldElement a, GenericFieldElement b)
PrimeFieldElement	AbstractPrimeField.subtract(GenericFieldElement a, GenericFieldElement b)
ExtensionFieldElement	ExtensionFieldElement.subtractOutOfPlace(GenericFieldElement b)
SexticExtensionFieldElement	SexticExtensionFieldElement.subtractOutOfPlace(GenericFieldElement b)
PrimeFieldElement	PrimeFieldElement.subtractOutOfPlace(GenericFieldElement b)
BinaryFieldElement	BinaryFieldElement.subtractOutOfPlace(GenericFieldElement b)
GenericFieldElement	GenericFieldElement.subtractOutOfPlace(GenericFieldElement b) Subtracts b from this which is an element of the base field, where a new object holding the result is created.
PrimeCharacteristicFieldElement	PrimeCharacteristicFieldElement.subtractOutOfPlace(GenericFieldElement b)
QuadraticExtensionFieldElement	QuadraticExtensionFieldElement.subtractOutOfPlace(GenericFieldElement b)
PrimeCharacteristicFieldElement	PrimeCharacteristicField.subtractOutOfPlace(GenericFieldElement a, GenericFieldElement b) Subtracts b from this and returns a new object holding the result.
BinaryFieldElement	BinaryField.subtractOutOfPlace(GenericFieldElement a, GenericFieldElement b) Subtract two elements and returns a new object holding the result.
SexticExtensionFieldElement	SexticOverQuadraticTowerExtensionField.subtractOutOfPlace(GenericFieldElement a, GenericFieldElement b)
PrimeFieldElement	AbstractPrimeField.subtractOutOfPlace(GenericFieldElement a, GenericFieldElement b)