JSci.maths
Class Double3Vector

java.lang.Object
  JSci.maths.MathVector
      JSci.maths.DoubleVector
          JSci.maths.Double3Vector

All Implemented Interfaces:

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

public class Double3Vector
extends DoubleVector

The Double3Vector class encapsulates double 3-vectors.

Version:

2.0

Author:

Mark Hale

See Also:

Serialized Form

Field Summary

Fields inherited from class JSci.maths.DoubleVector

ARRAY_1D, vector

Fields inherited from class JSci.maths.MathVector

CLASS_SPECIFIC, N, storageFormat

Constructor Summary

Double3Vector()
Constructs an empty 3-vector.

Double3Vector(double[] array)
Constructs a vector by wrapping an array.

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

Method Summary

Double3Vector	add(Double3Vector v) Returns the addition of this vector and another.
boolean	equals(java.lang.Object a) Compares two double vectors for equality.
double	getComponent(int n) Returns a component of this vector.
int	hashCode() Returns a hashcode for this vector.
double	infNorm() Returns the l-norm.
DoubleVector	mapComponents(Mapping f) Applies a function on all the vector components.
Double3Vector	multiply(Double3Vector v) Returns the vector product of this vector and another (so(3) algebra).
double	norm() Returns the l2-norm (magnitude).
double	norm(int n) Returns the ln-norm.
DoubleVector	scalarDivide(double x) Returns the division of this vector by a scalar.
DoubleVector	scalarMultiply(double x) Returns the multiplication of this vector by a scalar.
double	scalarProduct(Double3Vector v) Returns the scalar product of this vector and another.
void	setComponent(int n, double x) Sets the value of a component of this vector.
Double3Vector	subtract(Double3Vector v) Returns the subtraction of this vector by another.
ComplexVector	toComplexVector() Converts this 3-vector to a complex 3-vector.
IntegerVector	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.DoubleVector

add, add, negate, normalize, scalarDivide, scalarMultiply, scalarProduct, subtract, subtract

Methods inherited from class JSci.maths.MathVector

dimension, getInvalidComponentMsg

Methods inherited from class java.lang.Object

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

Constructor Detail

Double3Vector

public Double3Vector()

Constructs an empty 3-vector.

Double3Vector

public Double3Vector(double[] array)

Constructs a vector by wrapping an array.

Parameters:

array - an assigned value

Double3Vector

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

Constructs a 3-vector.

Parameters:

x - x coordinate

y - y coordinate

z - z coordinate

Method Detail

equals

public boolean equals(java.lang.Object a)

Compares two double vectors for equality.

Overrides:

equals in class DoubleVector

Parameters:

a - 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 DoubleVector

hashCode

public int hashCode()

Returns a hashcode for this vector.

Overrides:

hashCode in class DoubleVector

toIntegerVector

public IntegerVector toIntegerVector()

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

Overrides:

toIntegerVector in class DoubleVector

Returns:

an integer 3-vector

toComplexVector

public ComplexVector toComplexVector()

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

Overrides:

toComplexVector in class DoubleVector

Returns:

a complex 3-vector

getComponent

public double getComponent(int n)

Returns a component of this vector.

Overrides:

getComponent in class DoubleVector

Parameters:

n - index of the vector component

Throws:

VectorDimensionException - If attempting to access an invalid component.

setComponent

public void setComponent(int n,
                         double x)

Sets the value of a component of this vector.

Overrides:

setComponent in class DoubleVector

Parameters:

n - index of the vector component

x - 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 DoubleVector

norm

public double norm()

Returns the l²-norm (magnitude).

Specified by:

norm in interface BanachSpace.Member

Overrides:

norm in class DoubleVector

infNorm

public double infNorm()

Returns the l-norm.

Overrides:

infNorm in class DoubleVector

add

public Double3Vector add(Double3Vector v)

Returns the addition of this vector and another.

Parameters:

v - a double 3-vector

subtract

public Double3Vector subtract(Double3Vector v)

Returns the subtraction of this vector by another.

Parameters:

v - a double 3-vector

scalarMultiply

public DoubleVector scalarMultiply(double x)

Returns the multiplication of this vector by a scalar.

Overrides:

scalarMultiply in class DoubleVector

Parameters:

x - a double

Returns:

a double 3-vector

scalarDivide

public DoubleVector scalarDivide(double x)

Returns the division of this vector by a scalar.

Overrides:

scalarDivide in class DoubleVector

Parameters:

x - a double

Returns:

a double 3-vector

Throws:

java.lang.ArithmeticException - If divide by zero.

scalarProduct

public double scalarProduct(Double3Vector v)

Returns the scalar product of this vector and another.

Parameters:

v - a double 3-vector

multiply

public Double3Vector multiply(Double3Vector v)

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

Parameters:

v - a double 3-vector

mapComponents

public DoubleVector mapComponents(Mapping f)

Applies a function on all the vector components.

Overrides:

mapComponents in class DoubleVector

Parameters:

f - a user-defined function

Returns:

a double 3-vector