JSci.maths
Class Complex3Vector

java.lang.Object
  JSci.maths.MathVector
      JSci.maths.ComplexVector
          JSci.maths.Complex3Vector

All Implemented Interfaces:

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

public class Complex3Vector
extends ComplexVector

The Complex3Vector class encapsulates complex 3-vectors.

Version:

2.2

Author:

Mark Hale

See Also:

Serialized Form

Field Summary

Fields inherited from class JSci.maths.ComplexVector

ARRAY_1D, vectorIm, vectorRe

Fields inherited from class JSci.maths.MathVector

CLASS_SPECIFIC, N, storageFormat

Constructor Summary

Complex3Vector()
Constructs an empty 3-vector.

Complex3Vector(Complex x, Complex y, Complex z)
Constructs a 3-vector.

Complex3Vector(double[] real, double[] imag)
Constructs a 3-vector by wrapping two arrays.

Method Summary

Complex3Vector	add(Complex3Vector v) Returns the addition of this vector and another.
Complex3Vector	add(Double3Vector v) Returns the addition of this vector and another.
Complex3Vector	add(Integer3Vector v) Returns the addition of this vector and another.
ComplexVector	conjugate() Returns the complex conjugate of this vector.
boolean	equals(java.lang.Object a) Compares two complex vectors for equality.
Complex	getComponent(int n) Returns a component of this vector.
int	hashCode() Returns a hashcode for this vector.
DoubleVector	imag() Returns the imaginary part of this complex 3-vector.
double	infNorm() Returns the l-norm.
ComplexVector	mapComponents(ComplexMapping f) Applies a function on all the vector components.
Complex3Vector	multiply(Complex3Vector v) Returns the vector product of this vector and another.
double	norm() Returns the l2-norm (magnitude).
DoubleVector	real() Returns the real part of this complex 3-vector.
ComplexVector	scalarDivide(Complex z) Returns the division of this vector by a scalar.
ComplexVector	scalarDivide(double x) Returns the division of this vector by a scalar.
ComplexVector	scalarMultiply(Complex z) Returns the multiplication of this vector by a scalar.
ComplexVector	scalarMultiply(double x) Returns the multiplication of this vector by a scalar.
Complex	scalarProduct(Complex3Vector v) Returns the scalar product of this vector and another.
void	setComponent(int n, Complex z) Sets the value of a component of this vector.
void	setComponent(int n, double x, double y) Sets the value of a component of this vector.
Complex3Vector	subtract(Complex3Vector v) Returns the subtraction of this vector by another.
Complex3Vector	subtract(Double3Vector v) Returns the subtraction of this vector by another.
Complex3Vector	subtract(Integer3Vector v) Returns the subtraction of this vector by another.
java.lang.String	toString() Returns a comma delimited string representing the value of this vector.

Methods inherited from class JSci.maths.ComplexVector

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

Complex3Vector

public Complex3Vector()

Constructs an empty 3-vector.

Complex3Vector

public Complex3Vector(double[] real,
                      double[] imag)

Constructs a 3-vector by wrapping two arrays.

Parameters:

real - an array of real values

imag - an array of imaginary values

Complex3Vector

public Complex3Vector(Complex x,
                      Complex y,
                      Complex 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 complex vectors for equality.

Overrides:

equals in class ComplexVector

Parameters:

a - a complex 3-vector

toString

public java.lang.String toString()

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

Overrides:

toString in class ComplexVector

hashCode

public int hashCode()

Returns a hashcode for this vector.

Overrides:

hashCode in class ComplexVector

real

public DoubleVector real()

Returns the real part of this complex 3-vector.

Overrides:

real in class ComplexVector

imag

public DoubleVector imag()

Returns the imaginary part of this complex 3-vector.

Overrides:

imag in class ComplexVector

getComponent

public Complex getComponent(int n)

Returns a component of this vector.

Overrides:

getComponent in class ComplexVector

Parameters:

n - index of the vector component

Throws:

VectorDimensionException - If attempting to access an invalid component.

setComponent

public void setComponent(int n,
                         Complex z)

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

Overrides:

setComponent in class ComplexVector

Parameters:

n - index of the vector component

z - a complex number

Throws:

VectorDimensionException - If attempting to access an invalid component.

setComponent

public void setComponent(int n,
                         double x,
                         double y)

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

Overrides:

setComponent in class ComplexVector

Parameters:

n - index of the vector component

x - the real part of a complex number

y - the imaginary part of a complex number

Throws:

VectorDimensionException - If attempting to access an invalid component.

norm

public double norm()

Returns the l²-norm (magnitude).

Specified by:

norm in interface BanachSpace.Member

Overrides:

norm in class ComplexVector

infNorm

public double infNorm()

Returns the l-norm.

Overrides:

infNorm in class ComplexVector

conjugate

public ComplexVector conjugate()

Returns the complex conjugate of this vector.

Overrides:

conjugate in class ComplexVector

Returns:

a complex 3-vector

add

public Complex3Vector add(Complex3Vector v)

Returns the addition of this vector and another.

Parameters:

v - a complex 3-vector

add

public Complex3Vector add(Double3Vector v)

Returns the addition of this vector and another.

Parameters:

v - a double 3-vector

add

public Complex3Vector add(Integer3Vector v)

Returns the addition of this vector and another.

Parameters:

v - an integer 3-vector

subtract

public Complex3Vector subtract(Complex3Vector v)

Returns the subtraction of this vector by another.

Parameters:

v - a complex 3-vector

subtract

public Complex3Vector subtract(Double3Vector v)

Returns the subtraction of this vector by another.

Parameters:

v - a double 3-vector

subtract

public Complex3Vector subtract(Integer3Vector v)

Returns the subtraction of this vector by another.

Parameters:

v - an integer 3-vector

scalarMultiply

public ComplexVector scalarMultiply(Complex z)

Returns the multiplication of this vector by a scalar.

Overrides:

scalarMultiply in class ComplexVector

Parameters:

z - a complex number

Returns:

a complex 3-vector

scalarMultiply

public ComplexVector scalarMultiply(double x)

Returns the multiplication of this vector by a scalar.

Overrides:

scalarMultiply in class ComplexVector

Parameters:

x - a double

Returns:

a complex 3-vector

scalarDivide

public ComplexVector scalarDivide(Complex z)

Returns the division of this vector by a scalar.

Overrides:

scalarDivide in class ComplexVector

Parameters:

z - a complex number

Returns:

a complex 3-vector

Throws:

java.lang.ArithmeticException - If divide by zero.

scalarDivide

public ComplexVector scalarDivide(double x)

Returns the division of this vector by a scalar.

Overrides:

scalarDivide in class ComplexVector

Parameters:

x - a double

Returns:

a complex 3-vector

Throws:

java.lang.ArithmeticException - If divide by zero.

scalarProduct

public Complex scalarProduct(Complex3Vector v)

Returns the scalar product of this vector and another.

Parameters:

v - a complex 3-vector

multiply

public Complex3Vector multiply(Complex3Vector v)

Returns the vector product of this vector and another.

Parameters:

v - a complex 3-vector

mapComponents

public ComplexVector mapComponents(ComplexMapping f)

Applies a function on all the vector components.

Overrides:

mapComponents in class ComplexVector

Parameters:

f - a user-defined function

Returns:

a complex 3-vector