JSci.maths.vectors
Class Integer3Vector

java.lang.Object
  JSci.maths.vectors.MathVector
      JSci.maths.vectors.AbstractIntegerVector
          JSci.maths.vectors.Integer3Vector

All Implemented Interfaces:

java.io.Serializable, Module.Member, AbelianGroup.Member, Member

public final class Integer3Vector
extends AbstractIntegerVector

An optimised implementation of a 3D integer vector.

See Also:

Serialized Form

Field Summary

protected int	x
protected int	y
protected int	z

Fields inherited from class JSci.maths.vectors.MathVector

N

Constructor Summary

Integer3Vector()
Constructs an empty 3-vector.

Integer3Vector(int[] array)
Constructs a 3-vector.

Integer3Vector(int x, int y, int z)
Constructs a 3-vector.

Method Summary

AbelianGroup.Member	add(AbelianGroup.Member vec) Returns the addition of this vector and another.
AbstractIntegerVector	add(AbstractIntegerVector vec) Returns the addition of this vector and another.
boolean	equals(java.lang.Object obj, double tol) Compares two integer vectors for equality.
int	getComponent(int n) Returns a component of this vector.
double	infNorm() Returns the l-norm.
Integer3Vector	multiply(Integer3Vector vec) Returns the vector product of this vector and another (so(3) algebra).
AbelianGroup.Member	negate() Returns the negative of this vector.
double	norm() Returns the l2-norm (magnitude).
double	norm(int n) Returns the ln-norm.
AbstractIntegerVector	scalarMultiply(int k) Returns the multiplication of this vector by a scalar.
Module.Member	scalarMultiply(Ring.Member x) Returns the multiplication of this vector by a scalar.
int	scalarProduct(AbstractIntegerVector vec) Returns the scalar product of this vector and another.
void	setComponent(int n, int value) Sets the value of a component of this vector.
AbelianGroup.Member	subtract(AbelianGroup.Member vec) Returns the subtraction of this vector by another.
AbstractIntegerVector	subtract(AbstractIntegerVector vec) Returns the subtraction of this vector by another.
AbstractComplexVector	toComplexVector() Converts this 3-vector to a complex 3-vector.
AbstractDoubleVector	toDoubleVector() Converts this 3-vector to a double 3-vector.
java.lang.String	toString() Returns a comma delimited string representing the value of this vector.

Methods inherited from class JSci.maths.vectors.AbstractIntegerVector

equals, getSet, hashCode

Methods inherited from class JSci.maths.vectors.MathVector

dimension, getInvalidComponentMsg

Methods inherited from class java.lang.Object

clone, finalize, getClass, notify, notifyAll, wait, wait, wait

Field Detail

x

protected int x

y

protected int y

z

protected int z

Constructor Detail

Integer3Vector

public Integer3Vector()

Constructs an empty 3-vector.

Integer3Vector

public Integer3Vector(int x,
                      int y,
                      int z)

Constructs a 3-vector.

Parameters:

x - x coordinate.

y - y coordinate.

z - z coordinate.

Integer3Vector

public Integer3Vector(int[] array)

Constructs a 3-vector.

Method Detail

equals

public boolean equals(java.lang.Object obj,
                      double tol)

Compares two integer vectors for equality.

Parameters:

obj - a integer 3-vector

toString

public java.lang.String toString()

Returns a comma delimited string representing the value of this vector.

Overrides:

toString in class AbstractIntegerVector

toDoubleVector

public AbstractDoubleVector toDoubleVector()

Converts this 3-vector to a double 3-vector.

Overrides:

toDoubleVector in class AbstractIntegerVector

Returns:

a double 3-vector

toComplexVector

public AbstractComplexVector toComplexVector()

Converts this 3-vector to a complex 3-vector.

Returns:

a complex 3-vector

getComponent

public int getComponent(int n)

Returns a component of this vector.

Specified by:

getComponent in class AbstractIntegerVector

Parameters:

n - index of the vector component

Throws:

VectorDimensionException - If attempting to access an invalid component.

setComponent

public void setComponent(int n,
                         int value)

Sets the value of a component of this vector. Should only be used to initialise this vector.

Specified by:

setComponent in class AbstractIntegerVector

Parameters:

n - index of the vector component

value - a number

Throws:

VectorDimensionException - If attempting to access an invalid component.

norm

public double norm(int n)

Returns the lⁿ-norm.

Overrides:

norm in class AbstractIntegerVector

norm

public double norm()

Returns the l²-norm (magnitude).

Overrides:

norm in class AbstractIntegerVector

infNorm

public double infNorm()

Returns the l-norm.

Overrides:

infNorm in class AbstractIntegerVector

negate

public AbelianGroup.Member negate()

Returns the negative of this vector.

add

public AbelianGroup.Member add(AbelianGroup.Member vec)

Returns the addition of this vector and another.

Parameters:

vec - a group member

add

public AbstractIntegerVector add(AbstractIntegerVector vec)

Returns the addition of this vector and another.

Specified by:

add in class AbstractIntegerVector

Parameters:

vec - a integer 3-vector

subtract

public AbelianGroup.Member subtract(AbelianGroup.Member vec)

Returns the subtraction of this vector by another.

Parameters:

vec - a group member

subtract

public AbstractIntegerVector subtract(AbstractIntegerVector vec)

Returns the subtraction of this vector by another.

Specified by:

subtract in class AbstractIntegerVector

Parameters:

vec - a integer 3-vector

scalarMultiply

public Module.Member scalarMultiply(Ring.Member x)

Returns the multiplication of this vector by a scalar.

Parameters:

x - a ring member

scalarMultiply

public AbstractIntegerVector scalarMultiply(int k)

Returns the multiplication of this vector by a scalar.

Specified by:

scalarMultiply in class AbstractIntegerVector

Parameters:

k - a integer

Returns:

a integer 3-vector

scalarProduct

public int scalarProduct(AbstractIntegerVector vec)

Returns the scalar product of this vector and another.

Specified by:

scalarProduct in class AbstractIntegerVector

Parameters:

vec - a integer 3-vector

multiply

public Integer3Vector multiply(Integer3Vector vec)

Returns the vector product of this vector and another (so(3) algebra).

Parameters:

vec - a integer 3-vector