JSci.maths
Class ComplexVector

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

All Implemented Interfaces:

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

Direct Known Subclasses:

Complex3Vector

public class ComplexVector
extends MathVector
implements HilbertSpace.Member

The ComplexVector class encapsulates vectors containing complex numbers.

Version:

2.2

Author:

Mark Hale

See Also:

Serialized Form

Field Summary

protected static int	ARRAY_1D Storage format identifier.
protected double[]	vectorIm Arrays containing the components of the vector.
protected double[]	vectorRe Arrays containing the components of the vector.

Fields inherited from class JSci.maths.MathVector

CLASS_SPECIFIC, N, storageFormat

Constructor Summary

	ComplexVector(Complex[] array) Constructs a vector from an array.
	ComplexVector(double[] real, double[] imag) Constructs a vector by wrapping two arrays.
	ComplexVector(int dim) Constructs an empty vector.
protected	ComplexVector(int dim, int storeID)

Method Summary

AbelianGroup.Member	add(AbelianGroup.Member v) Returns the addition of this vector and another.
ComplexVector	add(ComplexVector v) Returns the addition of this vector and another.
ComplexVector	add(DoubleVector v) Returns the addition of this vector and another.
ComplexVector	add(IntegerVector 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 vector.
double	infNorm() Returns the l-norm.
ComplexVector	mapComponents(ComplexMapping f) Applies a function on all the vector components.
AbelianGroup.Member	negate() Returns the negative of this vector.
double	norm() Returns the l2-norm (magnitude).
void	normalize() Makes the norm of this vector equal to 1.
DoubleVector	real() Returns the real part of this complex 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.
VectorSpace.Member	scalarDivide(Field.Member 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.
Module.Member	scalarMultiply(Ring.Member x) Returns the multiplication of this vector by a scalar.
Complex	scalarProduct(ComplexVector v) Returns the scalar product of this vector and another.
Complex	scalarProduct(HilbertSpace.Member 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.
AbelianGroup.Member	subtract(AbelianGroup.Member v) Returns the subtraction of this vector by another.
ComplexVector	subtract(ComplexVector v) Returns the subtraction of this vector by another.
ComplexVector	subtract(DoubleVector v) Returns the subtraction of this vector by another.
ComplexVector	subtract(IntegerVector 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.MathVector

dimension, getInvalidComponentMsg

Methods inherited from class java.lang.Object

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

Field Detail

ARRAY_1D

protected static final int ARRAY_1D

Storage format identifier.

See Also:

Constant Field Values

vectorRe

protected double[] vectorRe

Arrays containing the components of the vector.

vectorIm

protected double[] vectorIm

Arrays containing the components of the vector.

Constructor Detail

ComplexVector

protected ComplexVector(int dim,
                        int storeID)

ComplexVector

public ComplexVector(int dim)

Constructs an empty vector.

Parameters:

dim - the dimension of the vector.

ComplexVector

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

Constructs a vector by wrapping two arrays.

Parameters:

real - an array of real values

imag - an array of imaginary values

ComplexVector

public ComplexVector(Complex[] array)

Constructs a vector from an array.

Parameters:

array - an assigned value

Method Detail

equals

public boolean equals(java.lang.Object a)

Compares two complex vectors for equality.

Overrides:

equals in class java.lang.Object

Parameters:

a - a complex vector

toString

public java.lang.String toString()

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

Overrides:

toString in class java.lang.Object

hashCode

public int hashCode()

Returns a hashcode for this vector.

Overrides:

hashCode in class java.lang.Object

real

public DoubleVector real()

Returns the real part of this complex vector.

imag

public DoubleVector imag()

Returns the imaginary part of this complex vector.

getComponent

public Complex getComponent(int n)

Returns a component of this vector.

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.

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.

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

Specified by:

norm in class MathVector

normalize

public void normalize()

Makes the norm of this vector equal to 1.

infNorm

public double infNorm()

Returns the l-norm.

negate

public AbelianGroup.Member negate()

Returns the negative of this vector.

Specified by:

negate in interface AbelianGroup.Member

conjugate

public ComplexVector conjugate()

Returns the complex conjugate of this vector.

add

public AbelianGroup.Member add(AbelianGroup.Member v)

Returns the addition of this vector and another.

Specified by:

add in interface AbelianGroup.Member

Parameters:

v - a group member

add

public ComplexVector add(ComplexVector v)

Returns the addition of this vector and another.

Parameters:

v - a complex vector

Throws:

VectorDimensionException - If the vectors are different sizes.

add

public ComplexVector add(DoubleVector v)

Returns the addition of this vector and another.

Parameters:

v - a double vector

Throws:

VectorDimensionException - If the vectors are different sizes.

add

public ComplexVector add(IntegerVector v)

Returns the addition of this vector and another.

Parameters:

v - an integer vector

Throws:

VectorDimensionException - If the vectors are different sizes.

subtract

public AbelianGroup.Member subtract(AbelianGroup.Member v)

Returns the subtraction of this vector by another.

Specified by:

subtract in interface AbelianGroup.Member

Parameters:

v - a group member

subtract

public ComplexVector subtract(ComplexVector v)

Returns the subtraction of this vector by another.

Parameters:

v - a complex vector

Throws:

VectorDimensionException - If the vectors are different sizes.

subtract

public ComplexVector subtract(DoubleVector v)

Returns the subtraction of this vector by another.

Parameters:

v - a double vector

Throws:

VectorDimensionException - If the vectors are different sizes.

subtract

public ComplexVector subtract(IntegerVector v)

Returns the subtraction of this vector by another.

Parameters:

v - an integer vector

Throws:

VectorDimensionException - If the vectors are different sizes.

scalarMultiply

public Module.Member scalarMultiply(Ring.Member x)

Returns the multiplication of this vector by a scalar.

Specified by:

scalarMultiply in interface Module.Member

Parameters:

x - a ring member

scalarMultiply

public ComplexVector scalarMultiply(Complex z)

Returns the multiplication of this vector by a scalar.

Parameters:

z - a complex number

scalarMultiply

public ComplexVector scalarMultiply(double x)

Returns the multiplication of this vector by a scalar.

Parameters:

x - a double

scalarDivide

public VectorSpace.Member scalarDivide(Field.Member x)

Returns the division of this vector by a scalar.

Specified by:

scalarDivide in interface VectorSpace.Member

Parameters:

x - a field member

scalarDivide

public ComplexVector scalarDivide(Complex z)

Returns the division of this vector by a scalar.

Parameters:

z - a complex number

Throws:

java.lang.ArithmeticException - If divide by zero.

scalarDivide

public ComplexVector scalarDivide(double x)

Returns the division of this vector by a scalar.

Parameters:

x - a double

Throws:

java.lang.ArithmeticException - If divide by zero.

scalarProduct

public Complex scalarProduct(HilbertSpace.Member v)

Returns the scalar product of this vector and another.

Specified by:

scalarProduct in interface HilbertSpace.Member

Parameters:

v - a Hilbert space vector

scalarProduct

public Complex scalarProduct(ComplexVector v)

Returns the scalar product of this vector and another.

Parameters:

v - a complex vector

Throws:

VectorDimensionException - If the vectors are different sizes.

mapComponents

public ComplexVector mapComponents(ComplexMapping f)

Applies a function on all the vector components.

Parameters:

f - a user-defined function

Returns:

a complex vector