jsci.maths.fields

Class ComplexField

java.lang.Object

jsci.maths.fields.ComplexField

All Implemented Interfaces:

Field, Ring, AbelianGroup

public final class ComplexField
extends java.lang.Object
implements Field

The ComplexField class encapsulates the field of complex numbers.

Nested Class Summary

Nested classes/interfaces inherited from interface jsci.maths.fields.Field

Field.Member

Field Summary

Fields

Modifier and Type	Field and Description
static Complex	HALF
static Complex	HALF_I
static Complex	I
static Complex	MINUS_HALF
static Complex	MINUS_HALF_I
static Complex	MINUS_I
static Complex	MINUS_ONE
static Complex	MINUS_PI_2
static Complex	MINUS_PI_2_I
static Complex	MINUS_SQRT_HALF_I
static Complex	MINUS_TWO
static Complex	ONE
static Complex	PI
static Complex	PI_2
static Complex	PI_2_I
static Complex	PI_I
static Complex	SQRT_HALF
static Complex	SQRT_HALF_I
static Complex	TWO
static Complex	ZERO

Method Summary

Modifier and Type	Method and Description
static ComplexField	getInstance() Constructs a field of complex numbers.
boolean	isInverse(Field.Member a, Field.Member b) Returns true if one complex number is the inverse of the other.
boolean	isNegative(AbelianGroup.Member a, AbelianGroup.Member b) Returns true if one complex number is the negative of the other.
boolean	isOne(Ring.Member r) Returns true if the complex number is equal to one.
boolean	isZero(AbelianGroup.Member g) Returns true if the complex number is equal to zero.
Ring.Member	one() Returns the complex number one.
AbelianGroup.Member	zero() Returns the complex number zero.

Methods inherited from class java.lang.Object

equals, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

Field Detail

ZERO

public static final Complex ZERO

I

public static final Complex I

ONE

public static final Complex ONE

MINUS_ONE

public static final Complex MINUS_ONE

MINUS_I

public static final Complex MINUS_I

HALF

public static final Complex HALF

MINUS_HALF

public static final Complex MINUS_HALF

HALF_I

public static final Complex HALF_I

MINUS_HALF_I

public static final Complex MINUS_HALF_I

TWO

public static final Complex TWO

MINUS_TWO

public static final Complex MINUS_TWO

SQRT_HALF

public static final Complex SQRT_HALF

SQRT_HALF_I

public static final Complex SQRT_HALF_I

MINUS_SQRT_HALF_I

public static final Complex MINUS_SQRT_HALF_I

PI

public static final Complex PI

PI_I

public static final Complex PI_I

PI_2

public static final Complex PI_2

MINUS_PI_2

public static final Complex MINUS_PI_2

PI_2_I

public static final Complex PI_2_I

MINUS_PI_2_I

public static final Complex MINUS_PI_2_I

Method Detail

getInstance

public static final ComplexField getInstance()

Constructs a field of complex numbers. Singleton.

zero

public AbelianGroup.Member zero()

Returns the complex number zero.

Specified by:

zero in interface AbelianGroup

isZero

public boolean isZero(AbelianGroup.Member g)

Returns true if the complex number is equal to zero.

Specified by:

isZero in interface AbelianGroup

Parameters:

g - a group member

isNegative

public boolean isNegative(AbelianGroup.Member a,
                          AbelianGroup.Member b)

Returns true if one complex number is the negative of the other.

Specified by:

isNegative in interface AbelianGroup

Parameters:

a - a group member

b - a group member

one

public Ring.Member one()

Returns the complex number one.

Specified by:

one in interface Ring

isOne

public boolean isOne(Ring.Member r)

Returns true if the complex number is equal to one.

Specified by:

isOne in interface Ring

isInverse

public boolean isInverse(Field.Member a,
                         Field.Member b)

Returns true if one complex number is the inverse of the other.

Specified by:

isInverse in interface Field