JSci.maths.vectors
Class Double3Vector

java.lang.Object
  JSci.maths.vectors.MathVector
      JSci.maths.vectors.AbstractDoubleVector
          JSci.maths.vectors.Double3Vector

All Implemented Interfaces:

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

public final class Double3Vector
extends AbstractDoubleVector

An optimised implementation of a 3D double vector.

See Also:

Serialized Form

Field Summary

protected double	x
protected double	y
protected double	z

Fields inherited from class JSci.maths.vectors.MathVector

N

Constructor Summary

Double3Vector()
Constructs an empty 3-vector.

Double3Vector(double[] array)
Constructs a 3-vector.

Double3Vector(double x, double y, double z)
Constructs a 3-vector.

Method Summary

AbelianGroup.Member	add(AbelianGroup.Member vec) Returns the addition of this vector and another.
AbstractDoubleVector	add(AbstractDoubleVector vec) Returns the addition of this vector and another.
boolean	equals(java.lang.Object obj, double tol) Compares two double vectors for equality.
double	getComponent(int n) Returns a component of this vector.
double	infNorm() Returns the l-norm.
AbstractDoubleVector	mapComponents(Mapping mapping) Applies a function on all the vector components.
Double3Vector	multiply(Double3Vector 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.
AbstractDoubleVector	scalarDivide(double k) Returns the division of this vector by a scalar.
VectorSpace.Member	scalarDivide(Field.Member x) Returns the division of this vector by a scalar.
AbstractDoubleVector	scalarMultiply(double 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.
double	scalarProduct(AbstractDoubleVector vec) Returns the scalar product of this vector and another.
void	setComponent(int n, double value) Sets the value of a component of this vector.
AbelianGroup.Member	subtract(AbelianGroup.Member vec) Returns the subtraction of this vector by another.
AbstractDoubleVector	subtract(AbstractDoubleVector vec) Returns the subtraction of this vector by another.
AbstractComplexVector	toComplexVector() Converts this 3-vector to a complex 3-vector.
AbstractIntegerVector	toIntegerVector() Converts this 3-vector to an integer 3-vector.
java.lang.String	toString() Returns a comma delimited string representing the value of this vector.

Methods inherited from class JSci.maths.vectors.AbstractDoubleVector

equals, getSet, hashCode, mass, normalize

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 double x

y

protected double y

z

protected double z

Constructor Detail

Double3Vector

public Double3Vector()

Constructs an empty 3-vector.

Double3Vector

public Double3Vector(double x,
                     double y,
                     double z)

Constructs a 3-vector.

Parameters:

x - x coordinate.

y - y coordinate.

z - z coordinate.

Double3Vector

public Double3Vector(double[] array)

Constructs a 3-vector.

Method Detail

equals

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

Compares two double vectors for equality.

Overrides:

equals in class AbstractDoubleVector

Parameters:

obj - a double 3-vector

toString

public java.lang.String toString()

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

Overrides:

toString in class AbstractDoubleVector

toIntegerVector

public AbstractIntegerVector toIntegerVector()

Converts this 3-vector to an integer 3-vector.

Returns:

an integer 3-vector

toComplexVector

public AbstractComplexVector toComplexVector()

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

Returns:

a complex 3-vector

getComponent

public double getComponent(int n)

Returns a component of this vector.

Specified by:

getComponent in class AbstractDoubleVector

Parameters:

n - index of the vector component

Throws:

VectorDimensionException - If attempting to access an invalid component.

setComponent

public void setComponent(int n,
                         double value)

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

Specified by:

setComponent in class AbstractDoubleVector

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 AbstractDoubleVector

norm

public double norm()

Returns the l²-norm (magnitude).

Specified by:

norm in interface BanachSpace.Member

Overrides:

norm in class AbstractDoubleVector

infNorm

public double infNorm()

Returns the l-norm.

Overrides:

infNorm in class AbstractDoubleVector

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 AbstractDoubleVector add(AbstractDoubleVector vec)

Returns the addition of this vector and another.

Specified by:

add in class AbstractDoubleVector

Parameters:

vec - a double 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 AbstractDoubleVector subtract(AbstractDoubleVector vec)

Returns the subtraction of this vector by another.

Specified by:

subtract in class AbstractDoubleVector

Parameters:

vec - a double 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 AbstractDoubleVector scalarMultiply(double k)

Returns the multiplication of this vector by a scalar.

Specified by:

scalarMultiply in class AbstractDoubleVector

Parameters:

k - a double

Returns:

a double 3-vector

scalarDivide

public VectorSpace.Member scalarDivide(Field.Member x)

Returns the division of this vector by a scalar.

Parameters:

x - a field member

scalarDivide

public AbstractDoubleVector scalarDivide(double k)

Returns the division of this vector by a scalar.

Specified by:

scalarDivide in class AbstractDoubleVector

Parameters:

k - a double

Returns:

a double 3-vector

Throws:

java.lang.ArithmeticException - If divide by zero.

scalarProduct

public double scalarProduct(AbstractDoubleVector vec)

Returns the scalar product of this vector and another.

Specified by:

scalarProduct in class AbstractDoubleVector

Parameters:

vec - a double 3-vector

multiply

public Double3Vector multiply(Double3Vector vec)

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

Parameters:

vec - a double 3-vector

mapComponents

public AbstractDoubleVector mapComponents(Mapping mapping)

Applies a function on all the vector components.

Specified by:

mapComponents in class AbstractDoubleVector

Parameters:

mapping - a user-defined function

Returns:

a double 3-vector