org.jscience.mathematics.algebraic.matrices
Class IntegerVector

java.lang.Object
  org.jscience.mathematics.algebraic.AbstractHypermatrix
      org.jscience.mathematics.algebraic.AbstractMatrix
          org.jscience.mathematics.algebraic.AbstractVector
              org.jscience.mathematics.algebraic.matrices.AbstractIntegerVector
                  org.jscience.mathematics.algebraic.matrices.IntegerVector

All Implemented Interfaces:

java.io.Serializable, java.lang.Cloneable, Algebra.Member, Ring.Member, AbelianGroup.Member, Hypermatrix, Matrix, Module.Member, VectorSpace.Member, Vector, Member

public class IntegerVector
extends AbstractIntegerVector
implements java.lang.Cloneable, java.io.Serializable

An array-based implementation of an integer vector.

See Also:

Serialized Form

Field Summary

protected int[]

vector Array containing the components of the vector.

Constructor Summary

IntegerVector(AbstractIntegerVector vec)
Constructs a vector by copying a vector.

IntegerVector(int dim)
Constructs an empty vector.

IntegerVector(int[] array)
Constructs a vector by wrapping an array.

Method Summary

AbelianGroup.Member	add(AbelianGroup.Member v) Returns the addition of this vector and another.
AbstractIntegerVector	add(AbstractIntegerVector v) Returns the addition of this vector and another.
IntegerVector	add(IntegerVector v) DOCUMENT ME!
java.lang.Object	clone() Clone vector into a new vector.
boolean	equals(java.lang.Object a, double tol) Compares two Integer vectors for equality.
int	getPrimitiveElement(int n) Returns a component of this vector.
int	infNorm() Returns the l-norm.
AbstractDoubleVector	mapElements(PrimitiveMapping f) Applies a function on all the vector components.
int	mass() Returns the mass.
AbelianGroup.Member	negate() Returns the negative of this vector.
double	norm() Returns the l2-norm (magnitude).
double	norm(int n) Returns the ln-norm.
AbstractIntegerVector	scalarMultiply(int 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.
int	scalarProduct(AbstractIntegerVector v) Returns the scalar product of this vector and another.
int	scalarProduct(IntegerVector v) DOCUMENT ME!
void	setAllElements(int r) Sets the value of all elements of the vector.
void	setElement(int n, int x) Sets the value of a component of this vector.
AbelianGroup.Member	subtract(AbelianGroup.Member v) Returns the subtraction of this vector by another.
AbstractIntegerVector	subtract(AbstractIntegerVector v) Returns the subtraction of this vector by another.
IntegerVector	subtract(IntegerVector v) DOCUMENT ME!
int	sumSquares() Returns the sum of the squares of the components.
AbstractComplexVector	toComplexVector() Converts this vector to a complex vector.
AbstractDoubleVector	toDoubleVector() Converts this vector to a double vector.
int[]	toPrimitiveArray() Projects the vector to an array.
java.lang.String	toString() Returns a comma delimited string representing the value of this vector.

Methods inherited from class org.jscience.mathematics.algebraic.matrices.AbstractIntegerVector

abs, equals, getColumn, getElement, getRow, getSubVector, hashCode, max, mean, min, multiply, read, reverse, scalarDivide, setColumn, setElement, setRow, setSubVector, standardDeviation, tensorProduct, toMatrix, transpose, variance

Methods inherited from class org.jscience.mathematics.algebraic.AbstractVector

getDimension, getElement, getInvalidElementMsg, toArray, toArray

Methods inherited from class org.jscience.mathematics.algebraic.AbstractMatrix

getElement, getInvalidElementMsg, numColumns, numRows, print, print, print, print, toArray

Methods inherited from class org.jscience.mathematics.algebraic.AbstractHypermatrix

getDimensions, numDimensions, numElements, numElements, toArray

Methods inherited from class java.lang.Object

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

Methods inherited from interface org.jscience.mathematics.algebraic.Matrix

numColumns, numRows, toArray

Methods inherited from interface org.jscience.mathematics.algebraic.Hypermatrix

getDimensions, getElement, numDimensions, numElements, numElements, toArray

Field Detail

vector

protected int[] vector

Array containing the components of the vector.

Constructor Detail

IntegerVector

public IntegerVector(int dim)

Constructs an empty vector.

Parameters:

dim - the dimension of the vector.

IntegerVector

public IntegerVector(int[] array)

Constructs a vector by wrapping an array.

Parameters:

array - an assigned value

IntegerVector

public IntegerVector(AbstractIntegerVector vec)

Constructs a vector by copying a vector.

Parameters:

vec - an assigned value

Method Detail

equals

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

Compares two Integer vectors for equality.

Overrides:

equals in class AbstractIntegerVector

Parameters:

a - a Integer vector.

tol - DOCUMENT ME!

Returns:

DOCUMENT ME!

toString

public java.lang.String toString()

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

Overrides:

toString in class AbstractIntegerVector

Returns:

DOCUMENT ME!

toDoubleVector

public AbstractDoubleVector toDoubleVector()

Converts this vector to a double vector.

Overrides:

toDoubleVector in class AbstractIntegerVector

Returns:

a double vector

toComplexVector

public AbstractComplexVector toComplexVector()

Converts this vector to a complex vector.

Overrides:

toComplexVector in class AbstractIntegerVector

Returns:

a complex vector

getPrimitiveElement

public int getPrimitiveElement(int n)

Returns a component of this vector.

Specified by:

getPrimitiveElement in class AbstractIntegerVector

Parameters:

n - index of the vector component

Returns:

DOCUMENT ME!

Throws:

IllegalDimensionException - If attempting to access an invalid component.

setElement

public void setElement(int n,
                       int x)

Sets the value of a component of this vector.

Specified by:

setElement in class AbstractIntegerVector

Parameters:

n - index of the vector component

x - an integer

Throws:

IllegalDimensionException - If attempting to access an invalid component.

setAllElements

public void setAllElements(int r)

Sets the value of all elements of the vector.

Overrides:

setAllElements in class AbstractIntegerVector

Parameters:

r - a int element

norm

public double norm(int n)

Returns the lⁿ-norm.

Overrides:

norm in class AbstractIntegerVector

Parameters:

n - DOCUMENT ME!

Returns:

DOCUMENT ME!

Throws:

java.lang.ArithmeticException - DOCUMENT ME!

norm

public double norm()

Returns the l²-norm (magnitude).

Overrides:

norm in class AbstractIntegerVector

Returns:

DOCUMENT ME!

Throws:

java.lang.ArithmeticException - DOCUMENT ME!

infNorm

public int infNorm()

Returns the l-norm.

Overrides:

infNorm in class AbstractIntegerVector

Returns:

DOCUMENT ME!

Throws:

java.lang.ArithmeticException - DOCUMENT ME!

sumSquares

public int sumSquares()

Returns the sum of the squares of the components.

Overrides:

sumSquares in class AbstractIntegerVector

Returns:

DOCUMENT ME!

Throws:

java.lang.ArithmeticException - DOCUMENT ME!

mass

public int mass()

Returns the mass.

Overrides:

mass in class AbstractIntegerVector

Returns:

DOCUMENT ME!

Throws:

java.lang.ArithmeticException - DOCUMENT ME!

negate

public AbelianGroup.Member negate()

Returns the negative of this vector.

Specified by:

negate in interface AbelianGroup.Member

Returns:

DOCUMENT ME!

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 - DOCUMENT ME!

Returns:

DOCUMENT ME!

Throws:

java.lang.IllegalArgumentException - DOCUMENT ME!

add

public AbstractIntegerVector add(AbstractIntegerVector v)

Returns the addition of this vector and another.

Overrides:

add in class AbstractIntegerVector

Parameters:

v - an integer vector

Returns:

DOCUMENT ME!

Throws:

IllegalDimensionException - If the vectors are different sizes.

add

public IntegerVector add(IntegerVector v)

DOCUMENT ME!

Parameters:

v - DOCUMENT ME!

Returns:

DOCUMENT ME!

Throws:

IllegalDimensionException - DOCUMENT ME!

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 - DOCUMENT ME!

Returns:

DOCUMENT ME!

Throws:

java.lang.IllegalArgumentException - DOCUMENT ME!

subtract

public AbstractIntegerVector subtract(AbstractIntegerVector v)

Returns the subtraction of this vector by another.

Overrides:

subtract in class AbstractIntegerVector

Parameters:

v - an integer vector

Returns:

DOCUMENT ME!

Throws:

IllegalDimensionException - If the vectors are different sizes.

subtract

public IntegerVector subtract(IntegerVector v)

DOCUMENT ME!

Parameters:

v - DOCUMENT ME!

Returns:

DOCUMENT ME!

Throws:

IllegalDimensionException - DOCUMENT ME!

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 - DOCUMENT ME!

Returns:

DOCUMENT ME!

Throws:

java.lang.IllegalArgumentException - DOCUMENT ME!

scalarMultiply

public AbstractIntegerVector scalarMultiply(int x)

Returns the multiplication of this vector by a scalar.

Overrides:

scalarMultiply in class AbstractIntegerVector

Parameters:

x - an integer

Returns:

DOCUMENT ME!

scalarProduct

public int scalarProduct(AbstractIntegerVector v)

Returns the scalar product of this vector and another.

Overrides:

scalarProduct in class AbstractIntegerVector

Parameters:

v - an integer vector

Returns:

DOCUMENT ME!

Throws:

IllegalDimensionException - If the vectors are different sizes.

scalarProduct

public int scalarProduct(IntegerVector v)

DOCUMENT ME!

Parameters:

v - DOCUMENT ME!

Returns:

DOCUMENT ME!

Throws:

IllegalDimensionException - DOCUMENT ME!

mapElements

public AbstractDoubleVector mapElements(PrimitiveMapping f)

Applies a function on all the vector components.

Overrides:

mapElements in class AbstractIntegerVector

Parameters:

f - a user-defined function.

Returns:

a double vector.

toPrimitiveArray

public int[] toPrimitiveArray()

Projects the vector to an array.

Overrides:

toPrimitiveArray in class AbstractIntegerVector

Returns:

an integer array.

clone

public java.lang.Object clone()

Clone vector into a new vector.

Overrides:

clone in class java.lang.Object

Returns:

the cloned vector.