com.singularsys.extensions.field.implementations

Class RationalField

java.lang.Object

com.singularsys.extensions.field.implementations.AbstractComparativeField

com.singularsys.extensions.field.implementations.GenericField<E>

com.singularsys.extensions.field.implementations.GenericPowerField<Rational>

com.singularsys.extensions.field.implementations.RationalField

All Implemented Interfaces:

FieldI, IntegerConvertor, java.io.Serializable

public class RationalField
extends GenericPowerField<Rational>

A field which works with unlimited precision rational numbers, represented as the quotient of two BigIntegers.

See Also:

RationalNumberFactory, Rational, Serialized Form

Field Summary

Fields inherited from class com.singularsys.extensions.field.implementations.GenericPowerField

one, zero

Constructor Summary

Constructors

Constructor and Description
RationalField()

Method Summary

Modifier and Type	Method and Description
Rational	addG(Rational l, Rational r) Adds two elements of type E.
Rational	cast(java.lang.Object l) Convert the input to type E.
java.lang.Integer	cmpG(Rational l, Rational r) Compare two objects of the same type.
Rational	convertFromInt(java.lang.Integer l) Attempt to convert argument from an integer
java.lang.Integer	convertToIntE(Rational r) If possible convert the argument to an Integer to enable integral powers.
Rational	divG(Rational l, Rational r) Divides two elements of type E.
Rational	getOne() Get the multiplicative identity for this field.
Rational	getZero() Get the additive identity for this field
Rational	modG(Rational l, Rational r) Modulus of two elements of type E.
Rational	mulG(Rational l, Rational r) Multiplies two elements of type E.
Rational	negG(Rational l) Negates an elements of type E.
Rational	powNonInt(Rational l, Rational r) Power only implemented for integral powers.
Rational	subG(Rational l, Rational r) Subtracts two elements of type E.

Methods inherited from class com.singularsys.extensions.field.implementations.GenericPowerField

powG, powI

Methods inherited from class com.singularsys.extensions.field.implementations.GenericField

add, and, cmp, convertToInt, div, mod, mul, neg, not, or, pow, sub

Methods inherited from class com.singularsys.extensions.field.implementations.AbstractComparativeField

eq, ge, gt, le, lt, ne

Methods inherited from class java.lang.Object

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

Constructor Detail

RationalField

public RationalField()

Method Detail

cast

public Rational cast(java.lang.Object l)

Description copied from class: GenericField

Convert the input to type E.

Specified by:

cast in class GenericField<Rational>

Returns:

l if l is a Rational, null otherwise

addG

public Rational addG(Rational l,
                     Rational r)
              throws EvaluationException

Description copied from class: GenericField

Adds two elements of type E.

Specified by:

addG in class GenericField<Rational>

Parameters:

l - lhs argument

r - rhs argument

Returns:

the sum

Throws:

EvaluationException - on error

cmpG

public java.lang.Integer cmpG(Rational l,
                              Rational r)
                       throws EvaluationException

Description copied from class: GenericField

Compare two objects of the same type.

Specified by:

cmpG in class GenericField<Rational>

Parameters:

l - left argument

r - right argument

Returns:

-1, 0, 1 or null

Throws:

EvaluationException

divG

public Rational divG(Rational l,
                     Rational r)
              throws EvaluationException

Description copied from class: GenericField

Divides two elements of type E.

Specified by:

divG in class GenericField<Rational>

Parameters:

l - numerator

r - denominator

Returns:

the division

Throws:

EvaluationException - on error

modG

public Rational modG(Rational l,
                     Rational r)
              throws EvaluationException

Description copied from class: GenericField

Modulus of two elements of type E.

Specified by:

modG in class GenericField<Rational>

Parameters:

l - lhs argument

r - rhs argument

Returns:

the modulus

Throws:

EvaluationException - on error

mulG

public Rational mulG(Rational l,
                     Rational r)
              throws EvaluationException

Description copied from class: GenericField

Multiplies two elements of type E.

Specified by:

mulG in class GenericField<Rational>

Parameters:

l - lhs argument

r - rhs argument

Returns:

the product

Throws:

EvaluationException - on error

negG

public Rational negG(Rational l)
              throws EvaluationException

Description copied from class: GenericField

Negates an elements of type E.

Specified by:

negG in class GenericField<Rational>

Parameters:

l - the argument

Returns:

the negation

Throws:

EvaluationException - on error

powNonInt

public Rational powNonInt(Rational l,
                          Rational r)
                   throws EvaluationException

Power only implemented for integral powers.

Specified by:

powNonInt in class GenericPowerField<Rational>

Returns:

Throws:

EvaluationException

subG

public Rational subG(Rational l,
                     Rational r)
              throws EvaluationException

Description copied from class: GenericField

Subtracts two elements of type E.

Specified by:

subG in class GenericField<Rational>

Parameters:

l - lhs argument

r - rhs argument

Returns:

the difference

Throws:

EvaluationException - on error

convertFromInt

public Rational convertFromInt(java.lang.Integer l)
                        throws EvaluationException

Description copied from interface: IntegerConvertor

Attempt to convert argument from an integer

Specified by:

convertFromInt in interface IntegerConvertor

Specified by:

convertFromInt in class GenericField<Rational>

Parameters:

l - value to convert

Returns:

corresponding value in this field or null if it cannot be converted

Throws:

EvaluationException

getOne

public Rational getOne()

Description copied from interface: FieldI

Get the multiplicative identity for this field.

Specified by:

getOne in interface FieldI

Specified by:

getOne in class GenericField<Rational>

Returns:

object representing one or null if undefined for this field

getZero

public Rational getZero()

Description copied from interface: FieldI

Get the additive identity for this field

Specified by:

getZero in interface FieldI

Specified by:

getZero in class GenericField<Rational>

Returns:

object representing zero or null if undefined for this field

convertToIntE

public java.lang.Integer convertToIntE(Rational r)
                                throws EvaluationException

Description copied from class: GenericField

If possible convert the argument to an Integer to enable integral powers. If the argument cannot be converted null should be returned and the powG(E,E) method will be called.

Specified by:

convertToIntE in class GenericField<Rational>

Parameters:

r - argument to convert.

Returns:

an integer or null if argument cannot be converted

Throws:

EvaluationException