Package dk.jonaslindstrom.ruffini.integers.structures

Class Integers

java.lang.Object

dk.jonaslindstrom.ruffini.integers.structures.Integers

All Implemented Interfaces:

dk.jonaslindstrom.ruffini.common.abstractions.AdditiveGroup<Integer>, dk.jonaslindstrom.ruffini.common.abstractions.CommutativeMonoid<Integer>, dk.jonaslindstrom.ruffini.common.abstractions.EuclideanDomain<Integer>, dk.jonaslindstrom.ruffini.common.abstractions.Monoid<Integer>, dk.jonaslindstrom.ruffini.common.abstractions.Ring<Integer>, dk.jonaslindstrom.ruffini.common.abstractions.Semigroup<Integer>, dk.jonaslindstrom.ruffini.common.abstractions.SemiRing<Integer>, dk.jonaslindstrom.ruffini.common.abstractions.Set<Integer>

public class Integers
extends Object
implements dk.jonaslindstrom.ruffini.common.abstractions.EuclideanDomain<Integer>

Method Summary

Modifier and Type	Method	Description
Integer	add(Integer a, Integer b)
dk.jonaslindstrom.ruffini.common.util.Pair<Integer,Integer>	divisionWithRemainder(Integer a, Integer b)
boolean	equals(Integer a, Integer b)
Integer	getIdentity()
static Integers	getInstance()
Integer	getZero()
Integer	multiply(Integer a, Integer b)
Integer	negate(Integer a)
BigInteger	norm(Integer a)
String	toString()
String	toString(Integer a)

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

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

add, add

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

Method Details

getInstance

public static Integers getInstance()

multiply

public Integer multiply(Integer a,
 Integer b)

Specified by:

multiply in interface dk.jonaslindstrom.ruffini.common.abstractions.Semigroup<Integer>

getIdentity

public Integer getIdentity()

Specified by:

getIdentity in interface dk.jonaslindstrom.ruffini.common.abstractions.Monoid<Integer>

toString

public String toString(Integer a)

Specified by:

toString in interface dk.jonaslindstrom.ruffini.common.abstractions.Set<Integer>

add

public Integer add(Integer a,
 Integer b)

Specified by:

add in interface dk.jonaslindstrom.ruffini.common.abstractions.CommutativeMonoid<Integer>

negate

public Integer negate(Integer a)

Specified by:

negate in interface dk.jonaslindstrom.ruffini.common.abstractions.AdditiveGroup<Integer>

getZero

public Integer getZero()

Specified by:

getZero in interface dk.jonaslindstrom.ruffini.common.abstractions.CommutativeMonoid<Integer>

equals

public boolean equals(Integer a,
 Integer b)

Specified by:

equals in interface dk.jonaslindstrom.ruffini.common.abstractions.Set<Integer>

divisionWithRemainder

public dk.jonaslindstrom.ruffini.common.util.Pair<Integer,Integer> divisionWithRemainder(Integer a,
 Integer b)

Specified by:

divisionWithRemainder in interface dk.jonaslindstrom.ruffini.common.abstractions.EuclideanDomain<Integer>

toString

public String toString()

Overrides:

toString in class Object

norm

public BigInteger norm(Integer a)

Specified by:

norm in interface dk.jonaslindstrom.ruffini.common.abstractions.EuclideanDomain<Integer>