javax.vecmath
Class GVector

java.lang.Object
  javax.vecmath.GVector

All Implemented Interfaces:

java.io.Serializable

public class GVector
extends java.lang.Object
implements java.io.Serializable

A double precision, general, and dynamically resizeable one dimensional vector class. Index numbering begins with zero.

Author:

Kenji hiranabe

See Also:

Serialized Form

Constructor Summary

GVector(double[] vector)
Constructs a new generalized mathematic Vector with zero elements; length reprents the number of elements in the vector. !!

GVector(double[] vector, int length)
Constructs a new GVector by copying length elements from the array parameter.

GVector(GVector vector)
Constructs a new GVector and copies the initial values from the parameter vector.

GVector(int length)
Constructs a new generalized mathematic Vector with zero elements; length reprents the number of elements in the vector.

GVector(Tuple2f tuple)
Constructs a new GVector and copies the initial values from the Tuple

GVector(Tuple3d tuple)
Constructs a new GVector and copies the initial values from the Tuple

GVector(Tuple3f tuple)
Constructs a new GVector and copies the initial values from the Tuple

GVector(Tuple4d tuple)
Constructs a new GVector and copies the initial values from the Tuple

GVector(Tuple4f tuple)
Constructs a new GVector and copies the initial values from the Tuple

Method Summary

void	add(GVector vector) Sets the value of this vector to sum of itself and the specified vector
void	add(GVector vector1, GVector vector2) Sets the value of this vector to the vector sum of vectors vector1 and vector2.
double	angle(GVector v1) Returns the (n-space) angle in radians between this vector and the vector parameter; the return value is constrained to the range [0,PI].
double	dot(GVector v1) Returns the dot product of this vector and vector v1.
boolean	epsilonEquals(GVector v1, double epsilon) Returns true if the L-infinite distance between this vector and vector v1 is less than or equal to the epsilon parameter, otherwise returns false.
boolean	equals(GVector vector1) Returns true if all of the data members of GVector vector1 are equal to the corresponding data members in this GVector.
boolean	equals(java.lang.Object o1) Returns true if the Object o1 is of type GVector and all of the data members of t1 are equal to the corresponding data members in this GVector.
double	getElement(int index) Retrieves the value at the specified index value of this vector.
int	getSize() Returns the number of elements in this vector.
int	hashCode() Returns a hash number based on the data values in this object.
void	interpolate(GVector v1, double alpha) Linearly interpolates between this vector and vector v1 and places the result into this tuple: this = (1-alpha)*this + alpha*v1.
void	interpolate(GVector v1, GVector v2, double alpha) Linearly interpolates between vectors v1 and v2 and places the result into this tuple: this = (1-alpha)*v1 + alpha*v2.
void	LUDBackSolve(GMatrix LU, GVector b, GVector permutation) LU Decomposition Back Solve; this method takes the LU matrix and the permutation vector produced by the GMatrix method LUD and solves the equation (LU)*x = b by placing the solution vector x into this vector.
void	mul(GMatrix m1, GVector v1) Multiplies matrix m1 times Vector v1 and places the result into this vector (this = m1*v1).
void	mul(GVector v1, GMatrix m1) Multiplies the transpose of vector v1 (ie, v1 becomes a row vector with respect to the multiplication) times matrix m1 and places the result into this vector (this = transpose(v1)*m1).
void	negate() Negates the value of this vector: this = -this.
double	norm() Returns the square root of the sum of the squares of this vector (its length in n-dimensional space).
void	normalize() Normalizes this vector in place.
void	normalize(GVector v1) Sets the value of this vector to the normalization of vector v1.
double	normSquared() Returns the sum of the squares of this vector (its length sqaured in n-dimensional space).
void	scale(double s) Scales this vector by the scale factor s.
void	scale(double s, GVector v1) Sets the value of this vector to the scalar multiplication of the scale factor with the vector v1.
void	scaleAdd(double s, GVector v1, GVector v2) Sets the value of this vector to the scalar multiplication by s of vector v1 plus vector v2 (this = s*v1 + v2).
void	set(double[] vector) Sets the value of this vector to the values found in the array parameter.
void	set(GVector vector) Sets the value of this vector to the values found in vector vector.
void	set(Tuple2f tuple) Sets the value of this vector to the values in tuple.
void	set(Tuple3d tuple) Sets the value of this vector to the values in tuple.
void	set(Tuple3f tuple) Sets the value of this vector to the values in tuple.
void	set(Tuple4d tuple) Sets the value of this vector to the values in tuple.
void	set(Tuple4f tuple) Sets the value of this vector to the values in tuple.
void	setElement(int index, double value) Modifies the value at the specified index of this vector.
void	setSize(int newSize) Changes the size of this vector dynamically.
void	sub(GVector vector) Sets the value of this vector to the vector difference of itself and vector (this = this - vector).
void	sub(GVector vector1, GVector vector2) Sets the value of this vector to the vector difference of vectors vector1 and vector2 (this = vector1 - vector2).
void	SVDBackSolve(GMatrix U, GMatrix W, GMatrix V, GVector b) Solves for x in Ax = b, where x is this vector (nx1), A is mxn, b is mx1, and A = U*W*transpose(V); U,W,V must be precomputed and can be found by taking the singular value decomposition (SVD) of A using the method SVD found in the GMatrix class.
java.lang.String	toString() Returns a string that contains the values of this GVector.
void	zero() Sets all the values in this vector to zero.

Methods inherited from class java.lang.Object

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

Constructor Detail

GVector

public GVector(double[] vector)

Constructs a new generalized mathematic Vector with zero elements; length reprents the number of elements in the vector. !! this comment is a bug in Sun's API !!

Parameters:

vector - the values for the new vector.

GVector

public GVector(double[] vector,
               int length)

Constructs a new GVector by copying length elements from the array parameter. The parameter length must be less than or equal to vector.length.

Parameters:

vector - The array from which the values will be copied.

length - The number of values copied from the array.

GVector

public GVector(GVector vector)

Constructs a new GVector and copies the initial values from the parameter vector.

Parameters:

vector - the source for the new GVector's initial values

GVector

public GVector(int length)

Constructs a new generalized mathematic Vector with zero elements; length reprents the number of elements in the vector.

Parameters:

length - number of elements in this vector.

GVector

public GVector(Tuple2f tuple)

Constructs a new GVector and copies the initial values from the Tuple

Parameters:

vector - the source for the new GVector's initial values

GVector

public GVector(Tuple3d tuple)

Constructs a new GVector and copies the initial values from the Tuple

Parameters:

vector - the source for the new GVector's initial values

GVector

public GVector(Tuple3f tuple)

Constructs a new GVector and copies the initial values from the Tuple

Parameters:

vector - the source for the new GVector's initial values

GVector

public GVector(Tuple4d tuple)

Constructs a new GVector and copies the initial values from the Tuple

Parameters:

vector - the source for the new GVector's initial values

GVector

public GVector(Tuple4f tuple)

Constructs a new GVector and copies the initial values from the Tuple

Parameters:

vector - the source for the new GVector's initial values

Method Detail

add

public final void add(GVector vector)

Sets the value of this vector to sum of itself and the specified vector

Parameters:

vector - the second vector

add

public final void add(GVector vector1,
                      GVector vector2)

Sets the value of this vector to the vector sum of vectors vector1 and vector2.

Parameters:

vector1 - the first vector

vector2 - the second vector

angle

public final double angle(GVector v1)

Returns the (n-space) angle in radians between this vector and the vector parameter; the return value is constrained to the range [0,PI].

Parameters:

v1 - The other vector

Returns:

The angle in radians in the range [0,PI]

dot

public final double dot(GVector v1)

Returns the dot product of this vector and vector v1.

Parameters:

v1 - the other vector

Returns:

the dot product of this and v1

epsilonEquals

public boolean epsilonEquals(GVector v1,
                             double epsilon)

Returns true if the L-infinite distance between this vector and vector v1 is less than or equal to the epsilon parameter, otherwise returns false. The L-infinite distance is equal to MAX[abs(x1-x2), abs(y1-y2), . . . ].

Parameters:

v1 - The vector to be compared to this vector

epsilon - the threshold value

equals

public boolean equals(GVector vector1)

Returns true if all of the data members of GVector vector1 are equal to the corresponding data members in this GVector.

Parameters:

vector1 - The vector with which the comparison is made.

Returns:

true or false

equals

public boolean equals(java.lang.Object o1)

Returns true if the Object o1 is of type GVector and all of the data members of t1 are equal to the corresponding data members in this GVector.

Overrides:

equals in class java.lang.Object

Parameters:

o1 - the object with which the comparison is made.

getElement

public final double getElement(int index)

Retrieves the value at the specified index value of this vector.

Parameters:

index - the index of the element to retrieve (zero indexed)

Returns:

the value at the indexed element

getSize

public final int getSize()

Returns the number of elements in this vector.

Returns:

number of elements in this vector

hashCode

public int hashCode()

Returns a hash number based on the data values in this object. Two different GMatrix objects with identical data values (ie, returns true for equals(GMatrix) ) will return the same hash number. Two objects with different data members may return the same hash value, although this is not likely.

Overrides:

hashCode in class java.lang.Object

Returns:

the integer hash value

interpolate

public final void interpolate(GVector v1,
                              double alpha)

Linearly interpolates between this vector and vector v1 and places the result into this tuple: this = (1-alpha)*this + alpha*v1.

Parameters:

v1 - the first vector

alpha - the alpha interpolation parameter

interpolate

public final void interpolate(GVector v1,
                              GVector v2,
                              double alpha)

Linearly interpolates between vectors v1 and v2 and places the result into this tuple: this = (1-alpha)*v1 + alpha*v2.

Parameters:

v1 - the first vector

v2 - the second vector

alpha - the alpha interpolation parameter

LUDBackSolve

public final void LUDBackSolve(GMatrix LU,
                               GVector b,
                               GVector permutation)

LU Decomposition Back Solve; this method takes the LU matrix and the permutation vector produced by the GMatrix method LUD and solves the equation (LU)*x = b by placing the solution vector x into this vector. This vector should be the same length or longer than b.

Parameters:

LU - The matrix into which the lower and upper decompositions have been placed

b - The b vector in the equation (LU)*x = b

permutation - The row permuations that were necessary to produce the LU matrix parameter

mul

public final void mul(GMatrix m1,
                      GVector v1)

Multiplies matrix m1 times Vector v1 and places the result into this vector (this = m1*v1).

Parameters:

m1 - The matrix in the multiplication

v1 - The vector that is multiplied

mul

public final void mul(GVector v1,
                      GMatrix m1)

Multiplies the transpose of vector v1 (ie, v1 becomes a row vector with respect to the multiplication) times matrix m1 and places the result into this vector (this = transpose(v1)*m1). The result is technically a row vector, but the GVector class only knows about column vectors, and so the result is stored as a column vector.

Parameters:

m1 - The matrix in the multiplication

v1 - The vector that is temporarily transposed

negate

public final void negate()

Negates the value of this vector: this = -this.

norm

public final double norm()

Returns the square root of the sum of the squares of this vector (its length in n-dimensional space).

Returns:

length of this vector

normalize

public final void normalize()

Normalizes this vector in place.

normalize

public final void normalize(GVector v1)

Sets the value of this vector to the normalization of vector v1.

Parameters:

v1 - the un-normalized vector

normSquared

public final double normSquared()

Returns the sum of the squares of this vector (its length sqaured in n-dimensional space).

Returns:

length squared of this vector

scale

public final void scale(double s)

Scales this vector by the scale factor s.

Parameters:

s - the scalar value

scale

public final void scale(double s,
                        GVector v1)

Sets the value of this vector to the scalar multiplication of the scale factor with the vector v1.

Parameters:

s - the scalar value

v1 - the source vector

scaleAdd

public final void scaleAdd(double s,
                           GVector v1,
                           GVector v2)

Sets the value of this vector to the scalar multiplication by s of vector v1 plus vector v2 (this = s*v1 + v2).

Parameters:

s - the scalar value

v1 - the vector to be multiplied

v2 - the vector to be added

set

public final void set(double[] vector)

Sets the value of this vector to the values found in the array parameter. The array should be at least equal in length to the number of elements in the vector.

Parameters:

vector - the source array

set

public final void set(GVector vector)

Sets the value of this vector to the values found in vector vector.

Parameters:

vector - the source vector

set

public final void set(Tuple2f tuple)

Sets the value of this vector to the values in tuple.

Parameters:

tuple - the source for the new GVector's new values

set

public final void set(Tuple3d tuple)

Sets the value of this vector to the values in tuple.

Parameters:

tuple - the source for the new GVector's new values

set

public final void set(Tuple3f tuple)

Sets the value of this vector to the values in tuple.

Parameters:

tuple - the source for the new GVector's new values

set

public final void set(Tuple4d tuple)

Sets the value of this vector to the values in tuple.

Parameters:

tuple - the source for the new GVector's new values

set

public final void set(Tuple4f tuple)

Sets the value of this vector to the values in tuple.

Parameters:

tuple - the source for the new GVector's new values

setElement

public final void setElement(int index,
                             double value)

Modifies the value at the specified index of this vector.

Parameters:

index - the index if the element to modify (zero indexed)

value - the new vector element value

setSize

public final void setSize(int newSize)

Changes the size of this vector dynamically. If the size is increased no data values will be lost. If the size is decreased, only those data values whose vector positions were eliminated will be lost.

Parameters:

length - number of desired elements in this vector

sub

public final void sub(GVector vector)

Sets the value of this vector to the vector difference of itself and vector (this = this - vector).

Parameters:

vector - - the other vector

sub

public final void sub(GVector vector1,
                      GVector vector2)

Sets the value of this vector to the vector difference of vectors vector1 and vector2 (this = vector1 - vector2).

Parameters:

vector1 - the first vector

vector2 - the second vector

SVDBackSolve

public final void SVDBackSolve(GMatrix U,
                               GMatrix W,
                               GMatrix V,
                               GVector b)

Solves for x in Ax = b, where x is this vector (nx1), A is mxn, b is mx1, and A = U*W*transpose(V); U,W,V must be precomputed and can be found by taking the singular value decomposition (SVD) of A using the method SVD found in the GMatrix class.

Parameters:

U - The U matrix produced by the GMatrix method SVD

W - The W matrix produced by the GMatrix method SVD

V - The V matrix produced by the GMatrix method SVD

b - The b vector in the linear equation Ax = b

toString

public java.lang.String toString()

Returns a string that contains the values of this GVector.

Overrides:

toString in class java.lang.Object

Returns:

the String representation

zero

public final void zero()

Sets all the values in this vector to zero.