uk.ac.ic.doc.jpair.pairing
Class Complex

java.lang.Object
  uk.ac.ic.doc.jpair.pairing.Complex

All Implemented Interfaces:

java.io.Serializable, FieldElement

public class Complex
extends java.lang.Object
implements java.io.Serializable, FieldElement

This immutable class defines complex numbers over a finite field, i.e. the real and imaginary parts of the complex number are taken over the finite field.

Version:

1.0

Author:

Changyu Dong

See Also:

Serialized Form

Constructor Summary

Complex(Fp field, BigInt real)

Complex(Fp field, BigInt real, BigInt imag)

Method Summary

Complex	add(Complex p)
Complex	conjugate() Return the conjugate of this complex number.
Complex	divide(Complex p)
boolean	equals(java.lang.Object obj)
Field	getField()
BigInt	getImag()
BigInt	getReal()
int	hashCode()
Complex	inverse()
boolean	isOne()
boolean	isZero()
Complex	multiply(Complex p)
Complex	multiply(int val)
Complex	negate()
Complex	pow(BigInt k)
Complex	square()
Complex	substract(Complex p)
byte[]	toByteArray() Return a single byte array which is equivalent to this.real.toByteArray()||this.imag.toByteArray();
java.lang.String	toString() Return a string in the format of [a,b] where a and b are the real and imaginary parts of the complex number a+bi.
java.lang.String	toString(int radix) Return a string in the format of [a,b] where a and b are the real and imaginary parts of the complex number a+bi.

Methods inherited from class java.lang.Object

getClass, notify, notifyAll, wait, wait, wait

Constructor Detail

Complex

public Complex(Fp field,
               BigInt real)

Complex

public Complex(Fp field,
               BigInt real,
               BigInt imag)

Method Detail

isZero

public boolean isZero()

isOne

public boolean isOne()

add

public Complex add(Complex p)

substract

public Complex substract(Complex p)

negate

public Complex negate()

multiply

public Complex multiply(Complex p)

square

public Complex square()

divide

public Complex divide(Complex p)

conjugate

public Complex conjugate()

Return the conjugate of this complex number. If this is a+bi, then the conjugate is a-bi.

Returns:

the conjugate.

pow

public Complex pow(BigInt k)

inverse

public Complex inverse()

multiply

public Complex multiply(int val)

getField

public Field getField()

toString

public java.lang.String toString()

Return a string in the format of [a,b] where a and b are the real and imaginary parts of the complex number a+bi. a and b are in the given radix.

Overrides:

toString in class java.lang.Object

toString

public java.lang.String toString(int radix)

Return a string in the format of [a,b] where a and b are the real and imaginary parts of the complex number a+bi. a and b are in decimal format.

Specified by:

toString in interface FieldElement

hashCode

public int hashCode()

Overrides:

hashCode in class java.lang.Object

equals

public boolean equals(java.lang.Object obj)

Overrides:

equals in class java.lang.Object

getReal

public BigInt getReal()

getImag

public BigInt getImag()

toByteArray

public byte[] toByteArray()

Return a single byte array which is equivalent to this.real.toByteArray()||this.imag.toByteArray();

Specified by:

toByteArray in interface FieldElement