org.jscience.mathematics.algebraic.numbers
Class ExactSupernumber

java.lang.Object
  java.lang.Number
      org.jscience.mathematics.algebraic.numbers.ExactSupernumber

All Implemented Interfaces:

java.io.Serializable, java.lang.Cloneable, Ring.Member, AbelianGroup.Member, Member

public final class ExactSupernumber
extends java.lang.Number
implements java.lang.Cloneable, java.io.Serializable, Ring.Member

The ExactSupernumber class encapsulates supernumbers. They are actually implemented as elements of the Grassmann algebra ₄ rather than the full .

See Also:

Serialized Form

Field Summary

static java.lang.Class

TYPE

Constructor Summary

ExactSupernumber()
Constructs a supernumber.

ExactSupernumber(ExactComplex body, ExactComplex[] soul1, ExactComplex[] soul2, ExactComplex[] soul3, ExactComplex soul4)
Constructs a supernumber.

ExactSupernumber(ExactSupernumber s)
Constructs a supernumber.

ExactSupernumber(Supernumber s)
Constructs a supernumber.

Method Summary

AbelianGroup.Member	add(AbelianGroup.Member z) Returns the addition of this number and another.
ExactSupernumber	add(ExactSupernumber z) Returns the addition of this supernumber and another.
java.lang.Object	clone()
int	dimension() Returns the dimension.
double	doubleValue()
float	floatValue()
ExactComplex	getBody() Returns the body (rank 0) of this supernumber.
ExactComplex	getSoul1(int i) Returns the a-number soul (rank 1) of this supernumber.
ExactComplex	getSoul2(int i) Returns the c-number soul (rank 2) of this supernumber.
ExactComplex	getSoul3(int i) Returns the a-number soul (rank 3) of this supernumber.
ExactComplex	getSoul4() Returns the c-number soul (rank 4) of this supernumber.
int	intValue()
long	longValue()
ExactSupernumber	multiply(ExactSupernumber z) Returns the multiplication of this supernumber and another.
Ring.Member	multiply(Ring.Member z) Returns the multiplication of this number and another.
AbelianGroup.Member	negate() Returns the negative of this number.
void	setBody(ExactComplex b) Sets the body (rank 0) of this supernumber.
void	setSoul1(int i, ExactComplex s) Sets the a-number soul (rank 1) of this supernumber. i should be from 0 to 3.
void	setSoul2(int i, ExactComplex s) Sets the c-number soul (rank 2) of this supernumber. i should be from 0 to 5.
void	setSoul3(int i, ExactComplex s) Sets the a-number soul (rank 3) of this supernumber. i should be from 0 to 3.
void	setSoul4(ExactComplex s) Sets the c-number soul (rank 4) of this supernumber.
AbelianGroup.Member	subtract(AbelianGroup.Member z) Returns the subtraction of this number and another.
ExactSupernumber	subtract(ExactSupernumber z) Returns the subtraction of this supernumber and another.
java.lang.String	toString() Returns a string representing the value of this supernumber.

Methods inherited from class java.lang.Number

byteValue, shortValue

Methods inherited from class java.lang.Object

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

Field Detail

TYPE

public static final java.lang.Class TYPE

Constructor Detail

ExactSupernumber

public ExactSupernumber()

Constructs a supernumber.

ExactSupernumber

public ExactSupernumber(ExactSupernumber s)

Constructs a supernumber. We don't perform any check though we should.

ExactSupernumber

public ExactSupernumber(Supernumber s)

Constructs a supernumber. We don't perform any check though we should.

ExactSupernumber

public ExactSupernumber(ExactComplex body,
                        ExactComplex[] soul1,
                        ExactComplex[] soul2,
                        ExactComplex[] soul3,
                        ExactComplex soul4)

Constructs a supernumber. We don't perform any check though we should.

Method Detail

toString

public java.lang.String toString()

Returns a string representing the value of this supernumber.

Overrides:

toString in class java.lang.Object

getBody

public ExactComplex getBody()

Returns the body (rank 0) of this supernumber.

setBody

public void setBody(ExactComplex b)

Sets the body (rank 0) of this supernumber.

getSoul1

public ExactComplex getSoul1(int i)

Returns the a-number soul (rank 1) of this supernumber.

setSoul1

public void setSoul1(int i,
                     ExactComplex s)

Sets the a-number soul (rank 1) of this supernumber. i should be from 0 to 3.

getSoul2

public ExactComplex getSoul2(int i)

Returns the c-number soul (rank 2) of this supernumber.

setSoul2

public void setSoul2(int i,
                     ExactComplex s)

Sets the c-number soul (rank 2) of this supernumber. i should be from 0 to 5.

getSoul3

public ExactComplex getSoul3(int i)

Returns the a-number soul (rank 3) of this supernumber.

setSoul3

public void setSoul3(int i,
                     ExactComplex s)

Sets the a-number soul (rank 3) of this supernumber. i should be from 0 to 3.

getSoul4

public ExactComplex getSoul4()

Returns the c-number soul (rank 4) of this supernumber.

setSoul4

public void setSoul4(ExactComplex s)

Sets the c-number soul (rank 4) of this supernumber.

dimension

public int dimension()

Returns the dimension.

intValue

public int intValue()

Specified by:

intValue in class java.lang.Number

longValue

public long longValue()

Specified by:

longValue in class java.lang.Number

doubleValue

public double doubleValue()

Specified by:

doubleValue in class java.lang.Number

floatValue

public float floatValue()

Specified by:

floatValue in class java.lang.Number

negate

public AbelianGroup.Member negate()

Returns the negative of this number.

Specified by:

negate in interface AbelianGroup.Member

Returns:

DOCUMENT ME!

add

public AbelianGroup.Member add(AbelianGroup.Member z)

Returns the addition of this number and another.

Specified by:

add in interface AbelianGroup.Member

Parameters:

z - a group member

Returns:

DOCUMENT ME!

add

public ExactSupernumber add(ExactSupernumber z)

Returns the addition of this supernumber and another.

Parameters:

z - a supernumber

subtract

public AbelianGroup.Member subtract(AbelianGroup.Member z)

Returns the subtraction of this number and another.

Specified by:

subtract in interface AbelianGroup.Member

Parameters:

z - a group member

Returns:

DOCUMENT ME!

subtract

public ExactSupernumber subtract(ExactSupernumber z)

Returns the subtraction of this supernumber and another.

Parameters:

z - a supernumber

multiply

public Ring.Member multiply(Ring.Member z)

Returns the multiplication of this number and another.

Specified by:

multiply in interface Ring.Member

Parameters:

z - a ring member

Returns:

DOCUMENT ME!

multiply

public ExactSupernumber multiply(ExactSupernumber z)

Returns the multiplication of this supernumber and another.

Parameters:

z - a supernumber

clone

public java.lang.Object clone()

Overrides:

clone in class java.lang.Object