org.jscience.mathematics.algebraic.fields
Class RationalField

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

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

The RationalField class encapsulates the field of rational numbers.


Nested Class Summary
 
Nested classes/interfaces inherited from interface org.jscience.mathematics.algebraic.fields.Field
Field.Member
 
Field Summary
static Rational NEGATIVE_INFINITY
          DOCUMENT ME!
static Rational ONE
          DOCUMENT ME!
static Rational POSITIVE_INFINITY
          DOCUMENT ME!
static Rational ZERO
          DOCUMENT ME!
 
Method Summary
static RationalField getInstance()
          Constructs a field of rational numbers.
 boolean isInverse(Field.Member a, Field.Member b)
          Returns true if one real number is the inverse of the other.
 boolean isNegative(AbelianGroup.Member a, AbelianGroup.Member b)
          Returns true if one real number is the negative of the other.
 boolean isOne(Ring.Member r)
          Returns true if the real number is equal to one.
 boolean isZero(AbelianGroup.Member g)
          Returns true if the real number is equal to zero.
 Ring.Member one()
          Returns the real number one.
 AbelianGroup.Member zero()
          Returns the real 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 Rational ZERO
DOCUMENT ME!


ONE

public static final Rational ONE
DOCUMENT ME!


NEGATIVE_INFINITY

public static final Rational NEGATIVE_INFINITY
DOCUMENT ME!


POSITIVE_INFINITY

public static final Rational POSITIVE_INFINITY
DOCUMENT ME!

Method Detail

getInstance

public static final RationalField getInstance()
Constructs a field of rational numbers. Singleton.

Returns:
DOCUMENT ME!

zero

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

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

isZero

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

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

isOne

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

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

isInverse

public boolean isInverse(Field.Member a,
                         Field.Member b)
Returns true if one real number is the inverse of the other.

Specified by:
isInverse in interface Field
Parameters:
a - DOCUMENT ME!
b - DOCUMENT ME!
Returns:
DOCUMENT ME!