JSci.maths.vectors
Class AbstractComplexVector

java.lang.Object
  JSci.maths.vectors.MathVector
      JSci.maths.vectors.AbstractComplexVector

All Implemented Interfaces:

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

Direct Known Subclasses:

Complex2Vector, Complex3Vector, ComplexVector

public abstract class AbstractComplexVector

extends MathVector

implements HilbertSpace.Member

The AbstractComplexVector class encapsulates vectors containing complex numbers.

See Also:

Serialized Form

Field Summary

Fields inherited from class JSci.maths.vectors.MathVector

N

Constructor Summary

protected

AbstractComplexVector(int dim)

Method Summary

abstract AbstractComplexVector	add(AbstractComplexVector v) Returns the addition of this vector and another.
abstract AbstractComplexVector	conjugate() Returns the complex conjugate of this vector.
boolean	equals(java.lang.Object obj) Compares two complex vectors for equality.
abstract Complex	getComponent(int n) Returns a component of this vector.
abstract double	getImagComponent(int n)
abstract double	getRealComponent(int n)
int	hashCode() Returns a hashcode for this vector.
abstract AbstractDoubleVector	imag() Returns the imaginary part of this complex vector.
double	infNorm() Returns the l-norm.
abstract AbstractComplexVector	mapComponents(ComplexMapping f) Applies a function on all the vector components.
double	norm() Returns the l2-norm (magnitude).
AbstractComplexVector	normalize() Returns a normalised vector (a vector with norm equal to one).
abstract AbstractDoubleVector	real() Returns the real part of this complex vector.
abstract AbstractComplexVector	scalarDivide(Complex z) Returns the division of this vector by a scalar.
abstract AbstractComplexVector	scalarDivide(double x) Returns the division of this vector by a scalar.
abstract AbstractComplexVector	scalarMultiply(Complex z) Returns the multiplication of this vector by a scalar.
abstract AbstractComplexVector	scalarMultiply(double x) Returns the multiplication of this vector by a scalar.
abstract Complex	scalarProduct(AbstractComplexVector v) Returns the scalar product of this vector and another.
abstract void	setComponent(int n, Complex z) Sets the value of a component of this vector.
abstract void	setComponent(int n, double x, double y) Sets the value of a component of this vector.
abstract AbstractComplexVector	subtract(AbstractComplexVector 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.vectors.MathVector

dimension, getInvalidComponentMsg

Methods inherited from class java.lang.Object

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

Methods inherited from interface JSci.maths.algebras.HilbertSpace.Member

scalarProduct

Methods inherited from interface JSci.maths.algebras.VectorSpace.Member

scalarDivide

Methods inherited from interface JSci.maths.algebras.Module.Member

scalarMultiply

Methods inherited from interface JSci.maths.groups.AbelianGroup.Member

add, negate, subtract

Constructor Detail

AbstractComplexVector

protected AbstractComplexVector(int dim)

Method Detail

equals

public boolean equals(java.lang.Object obj)

Compares two complex vectors for equality. Two vectors are considered to be equal if the norm of their difference is within the zero tolerance.

Parameters:

obj - a complex vector

toString

public java.lang.String toString()

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

hashCode

public int hashCode()

Returns a hashcode for this vector.

real

public abstract AbstractDoubleVector real()

Returns the real part of this complex vector.

imag

public abstract AbstractDoubleVector imag()

Returns the imaginary part of this complex vector.

getComponent

public abstract 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.

getRealComponent

public abstract double getRealComponent(int n)

getImagComponent

public abstract double getImagComponent(int n)

setComponent

public abstract 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 abstract 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

infNorm

public double infNorm()

Returns the l-norm.

conjugate

public abstract AbstractComplexVector conjugate()

Returns the complex conjugate of this vector.

add

public abstract AbstractComplexVector add(AbstractComplexVector v)

Returns the addition of this vector and another.

Parameters:

v - a complex vector

Throws:

VectorDimensionException - If the vectors are different sizes.

subtract

public abstract AbstractComplexVector subtract(AbstractComplexVector v)

Returns the subtraction of this vector by another.

Parameters:

v - a complex vector

Throws:

VectorDimensionException - If the vectors are different sizes.

scalarMultiply

public abstract AbstractComplexVector scalarMultiply(Complex z)

Returns the multiplication of this vector by a scalar.

Parameters:

z - a complex number

scalarMultiply

public abstract AbstractComplexVector scalarMultiply(double x)

Returns the multiplication of this vector by a scalar.

Parameters:

x - a double

scalarDivide

public abstract AbstractComplexVector 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 abstract AbstractComplexVector scalarDivide(double x)

Returns the division of this vector by a scalar.

Parameters:

x - a double

Throws:

java.lang.ArithmeticException - If divide by zero.

normalize

public AbstractComplexVector normalize()

Returns a normalised vector (a vector with norm equal to one).

scalarProduct

public abstract Complex scalarProduct(AbstractComplexVector 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 abstract AbstractComplexVector mapComponents(ComplexMapping f)

Applies a function on all the vector components.

Parameters:

f - a user-defined function

Returns:

a complex vector