Package dk.jonaslindstrom.ruffini.reals.structures

Class ComplexNumbers

java.lang.Object

dk.jonaslindstrom.ruffini.reals.structures.ComplexNumbers

All Implemented Interfaces:

AdditiveGroup<ComplexNumber>, CommutativeMonoid<ComplexNumber>, Field<ComplexNumber>, Group<ComplexNumber>, Monoid<ComplexNumber>, Ring<ComplexNumber>, Semigroup<ComplexNumber>, SemiRing<ComplexNumber>, Set<ComplexNumber>

public class ComplexNumbers
extends Object
implements Field<ComplexNumber>

Method Summary

Modifier and Type	Method	Description
ComplexNumber	add(ComplexNumber a, ComplexNumber b)	Return the result of a+b.
boolean	equals(ComplexNumber a, ComplexNumber b)	Returns true if and only if a = b as elements of this set.
static ComplexNumbers	getInstance()
ComplexNumber	identity()	Return the identity element of this monoid.
ComplexNumber	invert(ComplexNumber a)	Return the inverse a-1.
ComplexNumber	multiply(ComplexNumber a, ComplexNumber b)	Return the result of the product ab in this group.
ComplexNumber	negate(ComplexNumber a)	Return -a.
String	toString()
String	toString(ComplexNumber a)	Returns a human-readable string representation of an element in this set.
ComplexNumber	zero()	Return the zero element.

Methods inherited from class java.lang.Object

clone, equals, finalize, getClass, hashCode, notify, notifyAll, wait, wait, wait

Methods inherited from interface dk.jonaslindstrom.ruffini.common.abstractions.AdditiveGroup

doubling, isZero, scale, scale, subtract, sum

Methods inherited from interface dk.jonaslindstrom.ruffini.common.abstractions.CommutativeMonoid

add, add

Methods inherited from interface dk.jonaslindstrom.ruffini.common.abstractions.Field

divideInt

Methods inherited from interface dk.jonaslindstrom.ruffini.common.abstractions.Group

divide

Methods inherited from interface dk.jonaslindstrom.ruffini.common.abstractions.Monoid

isIdentity, power

Methods inherited from interface dk.jonaslindstrom.ruffini.common.abstractions.Semigroup

multiply, multiply

Methods inherited from interface dk.jonaslindstrom.ruffini.common.abstractions.SemiRing

integer, multiply, multiply

Method Details

getInstance

public static ComplexNumbers getInstance()

invert

public ComplexNumber invert(ComplexNumber a)

Description copied from interface: Group

Return the inverse a^-1.

Specified by:

invert in interface Group<ComplexNumber>

identity

public ComplexNumber identity()

Description copied from interface: Monoid

Return the identity element of this monoid.

Specified by:

identity in interface Monoid<ComplexNumber>

multiply

public ComplexNumber multiply(ComplexNumber a,
 ComplexNumber b)

Description copied from interface: Semigroup

Return the result of the product ab in this group.

Specified by:

multiply in interface Semigroup<ComplexNumber>

toString

public String toString(ComplexNumber a)

Description copied from interface: Set

Returns a human-readable string representation of an element in this set.

Specified by:

toString in interface Set<ComplexNumber>

equals

public boolean equals(ComplexNumber a,
 ComplexNumber b)

Description copied from interface: Set

Returns true if and only if a = b as elements of this set.

Specified by:

equals in interface Set<ComplexNumber>

add

public ComplexNumber add(ComplexNumber a,
 ComplexNumber b)

Description copied from interface: CommutativeMonoid

Return the result of a+b.

Specified by:

add in interface CommutativeMonoid<ComplexNumber>

negate

public ComplexNumber negate(ComplexNumber a)

Description copied from interface: AdditiveGroup

Return -a.

Specified by:

negate in interface AdditiveGroup<ComplexNumber>

zero

public ComplexNumber zero()

Description copied from interface: CommutativeMonoid

Return the zero element.

Specified by:

zero in interface CommutativeMonoid<ComplexNumber>

toString

public String toString()

Overrides:

toString in class Object