marf.math
Class Vector

java.lang.Object
  marf.math.Matrix
      marf.math.Vector

All Implemented Interfaces:

java.io.Serializable, java.lang.Cloneable

public class Vector
extends Matrix

Algebraic operations on vectors.

NOTE: this class has the same considerations as marf.math.Matrix.

$Id: Vector.java,v 1.14 2007/12/18 03:45:42 mokhov Exp $

Since:

0.3.0.1

Version:

$Revision: 1.14 $

Author:

Serguei A. Mokhov

See Also:

Matrix, Serialized Form

Nested Class Summary

Nested classes/interfaces inherited from class marf.math.Matrix

Matrix.Direction

Field Summary

static int

DEFAULT_VECTOR_LENGTH Default vector's length is 3 elements.

Fields inherited from class marf.math.Matrix

adMatrix, DEFAULT_COLS, DEFAULT_ERROR_DELTA, DEFAULT_ROWS, iCols, iRows

Constructor Summary

Vector()
Constructs a vector of default length of 3.

Vector(double[] padVectorData)
Constructs a vector out of a raw array of doubles.

Vector(double[] pad1DMatrix, boolean pbTransposed)
Allows having a transposed vector upon construction.

Vector(int piVectorLength)
Constructs a vector with the specified length.

Vector(Matrix poMatrix)
Constructs a vector out of a matrix and forces the rows dimension to 1 and "flattens" the matrix to have the number of columns as the same number of elements in the original matrix.

Vector(Vector poVector)
Constructs a vector from another vector; a-la copy conctructor.

Method Summary

Vector	add(Vector poVector) V1 = this + V.
static Vector	add(Vector poLHSVector, Vector poRHSVector) V3 = V1 + V2.
java.lang.Object	clone() Implements Clonable interface.
static Vector	getCrossProduct(Vector poLHSVector, Vector poRHSVector) Calculates the cross product of two vectors, V3 = V1 x V2.
static double	getDotProduct(Vector poLHSVector, Vector poRHSVector) Calculates the dot product of two vectors, d = V1 * V2.
double	getElement(int piPosition) Allows getting the value of vector's element at specified position.
static Vector	getInnerProduct(Vector poLHSVector, Vector poRHSVector) Calculates an inner product of two vectors, V3 = V1 * V2.
double	getLength() Retrieves the mathematical length of the vector.
static java.lang.String	getMARFSourceCodeRevision() Retrieves class' revision.
Vector	getUnitVector() Returns a unit-vector representation of this vector.
static Vector	i() Creates a unit-vector "i".
boolean	isOrthogonal(Vector poVector) Tells whether this and the parameter vectors are orthogonal or not.
static Vector	j() Creates a unit-vector "j".
static Vector	k() Creates a unit-vector "k".
void	normalize() Normalizes the vector's components by its length.
void	setElement(int piPosition, double pdValue) Allows setting the value of vector's element at specified position.

Methods inherited from class marf.math.Matrix

add, add, add, applyAdd, applyMinus, applyMultiply, applyMultiply, crop, crop, cutColumn, cutFirstColumn, cutFirstRow, cutLastColumn, cutLastRow, cutRow, display, divide, divide, divide, equals, equals, equals, exhaustMatrix, extend, extend, extend, getCols, getColumn, getDeterminant, getElement, getElements, getMatrix2D, getMatrixArray, getNewMatrix, getNewMatrix, getRow, getRows, inverse, isIdentity, isNearlyIdentity, isNearlyIdentity, isReduced, loadColumn, loadRow, makeIdentity, minus, minus, minus, minus, minusUnary, multiply, multiply, multiply, multiply, multiply, multiply, multiply, pow, pow, rotate, rotate, rotate, rowOperation, rowOperation, rowReduce, scale, scale, scale, setAll, setAll, setAllRandom, setCols, setElement, setMatrix2D, setMatrixArray, setRows, shear, shear, shear, size, toString, translate, translate, translate, transpose

Methods inherited from class java.lang.Object

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

Field Detail

DEFAULT_VECTOR_LENGTH

public static final int DEFAULT_VECTOR_LENGTH

Default vector's length is 3 elements.

See Also:

Constant Field Values

Constructor Detail

Vector

public Vector()

Constructs a vector of default length of 3.

Vector

public Vector(int piVectorLength)

Constructs a vector with the specified length.

Parameters:

piVectorLength - require vector length

Vector

public Vector(Vector poVector)

Constructs a vector from another vector; a-la copy conctructor.

Parameters:

poVector - a vector to make a copy of

Vector

public Vector(Matrix poMatrix)

Constructs a vector out of a matrix and forces the rows dimension to 1 and "flattens" the matrix to have the number of columns as the same number of elements in the original matrix.

Parameters:

poMatrix - base matrix to construct the vector from

Vector

public Vector(double[] padVectorData)

Constructs a vector out of a raw array of doubles.

Parameters:

padVectorData - source data for the vector

Vector

public Vector(double[] pad1DMatrix,
              boolean pbTransposed)

Allows having a transposed vector upon construction. Useful for example before doing linear operations.

Parameters:

pad1DMatrix - vector data

pbTransposed - true if the transposed vector is desired

Since:

0.3.0.3

Method Detail

getElement

public final double getElement(int piPosition)

Allows getting the value of vector's element at specified position.

Parameters:

piPosition - index to get the element from

Returns:

vector element's value

setElement

public void setElement(int piPosition,
                       double pdValue)

Allows setting the value of vector's element at specified position.

Parameters:

piPosition - index to set the element at

pdValue - the element's value

getLength

public double getLength()

Retrieves the mathematical length of the vector.

Returns:

the length value

add

public Vector add(Vector poVector)

V1 = this + V.

Parameters:

poVector - V

Returns:

V1

Since:

0.3.0.3

add

public static Vector add(Vector poLHSVector,
                         Vector poRHSVector)

V3 = V1 + V2.

Parameters:

poLHSVector - V1

poRHSVector - V2

Returns:

V3

Since:

0.3.0.3

getUnitVector

public final Vector getUnitVector()

Returns a unit-vector representation of this vector. This vector remains intact, instead a "unitized" copy is returned.

Returns:

corresponding unit vector

getInnerProduct

public static Vector getInnerProduct(Vector poLHSVector,
                                     Vector poRHSVector)

Calculates an inner product of two vectors, V3 = V1 * V2.

Parameters:

poLHSVector - first vector, V1

poRHSVector - second vector, V2

Returns:

the inner product vector of the two, V3

getCrossProduct

public static Vector getCrossProduct(Vector poLHSVector,
                                     Vector poRHSVector)

Calculates the cross product of two vectors, V3 = V1 x V2. TODO: complete all cases.

Parameters:

poLHSVector - first vector, V1

poRHSVector - second vector, V2

Returns:

the cross product, V3

getDotProduct

public static double getDotProduct(Vector poLHSVector,
                                   Vector poRHSVector)

Calculates the dot product of two vectors, d = V1 * V2.

Parameters:

poLHSVector - first vector, V1

poRHSVector - second vector, V2

Returns:

the dot product, d

isOrthogonal

public boolean isOrthogonal(Vector poVector)

Tells whether this and the parameter vectors are orthogonal or not.

Parameters:

poVector - another vector to compare to

Returns:

true if the vectors are orthogonal

normalize

public void normalize()

Normalizes the vector's components by its length.

i

public static final Vector i()

Creates a unit-vector "i".

Returns:

a new vector instance of {1, 0, 0}

j

public static final Vector j()

Creates a unit-vector "j".

Returns:

a new vector instance of {0, 1, 0}

k

public static final Vector k()

Creates a unit-vector "k".

Returns:

a new vector instance of {0, 0, 1}

clone

public java.lang.Object clone()

Implements Clonable interface. Creates a deep copy of the object by cloning the internal matrix array.

Overrides:

clone in class Matrix

Returns:

object copy of this vector

Since:

0.3.0.3

See Also:

Object.clone()

getMARFSourceCodeRevision

public static java.lang.String getMARFSourceCodeRevision()

Retrieves class' revision.

Returns:

revision string

Since:

0.3.0.2