org.jscience.mathematics.algebraic.fields
Class ExactIntegerRing

java.lang.Object
  extended by org.jscience.mathematics.algebraic.fields.ExactIntegerRing
All Implemented Interfaces:
Ring, AbelianGroup

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

The ExactIntegerRing class encapsulates the ring of integer numbers.


Nested Class Summary
 
Nested classes/interfaces inherited from interface org.jscience.mathematics.algebraic.fields.Ring
Ring.Member
 
Field Summary
static ExactInteger ONE
          DOCUMENT ME!
static ExactInteger ZERO
          DOCUMENT ME!
 
Method Summary
static ExactIntegerRing 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 ExactInteger ZERO
DOCUMENT ME!


ONE

public static final ExactInteger ONE
DOCUMENT ME!

Method Detail

getInstance

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

Returns:
DOCUMENT ME!

zero

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

Specified by:
zero in interface AbelianGroup
Returns:
DOCUMENT ME!

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 - DOCUMENT ME!
Returns:
DOCUMENT ME!

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 - DOCUMENT ME!
b - DOCUMENT ME!
Returns:
DOCUMENT ME!

one

public Ring.Member one()
Returns the integer number one.

Specified by:
one in interface Ring
Returns:
DOCUMENT ME!

isOne

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

Specified by:
isOne in interface Ring
Parameters:
r - DOCUMENT ME!
Returns:
DOCUMENT ME!