JSci.maths.fields
Class IntegerRing

java.lang.Object
  extended byJSci.maths.fields.IntegerRing
All Implemented Interfaces:
AbelianGroup, Ring

public final class IntegerRing
extends java.lang.Object
implements Ring

The IntegerRing class encapsulates the ring of integer numbers.


Nested Class Summary
 
Nested classes inherited from class JSci.maths.fields.Ring
Ring.Member
 
Field Summary
static MathInteger ONE
           
static MathInteger ZERO
           
 
Method Summary
static IntegerRing getInstance()
          Constructs a ring of integer numbers.
 boolean isNegative(AbelianGroup.Member a, AbelianGroup.Member b)
          Returns true if one integer number is the negative of the other.
 boolean isOne(Ring.Member r)
          Returns true if the integer number is equal to one.
 boolean isZero(AbelianGroup.Member g)
          Returns true if the integer number is equal to zero.
 Ring.Member one()
          Returns the integer number one.
 AbelianGroup.Member zero()
          Returns the integer number zero.
 
Methods inherited from class java.lang.Object
clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait
 

Field Detail

ZERO

public static final MathInteger ZERO

ONE

public static final MathInteger ONE
Method Detail

getInstance

public static final IntegerRing getInstance()
Constructs a ring of integer numbers. Singleton.


zero

public AbelianGroup.Member zero()
Returns the integer number zero.

Specified by:
zero in interface AbelianGroup

isZero

public boolean isZero(AbelianGroup.Member g)
Returns true if the integer 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 integer 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 integer number one.

Specified by:
one in interface Ring

isOne

public boolean isOne(Ring.Member r)
Returns true if the integer number is equal to one.

Specified by:
isOne in interface Ring