org.apache.commons.math.linear
Interface FieldVector<T extends FieldElement<T>>

Type Parameters:

T - the type of the field elements

All Known Implementing Classes:

ArrayFieldVector, SparseFieldVector

public interface FieldVector<T extends FieldElement<T>>

Interface defining a field-valued vector with basic algebraic operations.

vector element indexing is 0-based -- e.g., getEntry(0) returns the first element of the vector.

The various mapXxx and mapXxxToSelf methods operate on vectors element-wise, i.e. they perform the same operation (adding a scalar, applying a function ...) on each element in turn. The mapXxx versions create a new vector to hold the result and do not change the instance. The mapXxxToSelf versions use the instance itself to store the results, so the instance is changed by these methods. In both cases, the result vector is returned by the methods, this allows to use the fluent API style, like this:

   RealVector result = v.mapAddToSelf(3.0).mapTanToSelf().mapSquareToSelf();
 

Since:

2.0

Version:

$Revision: 811786 $ $Date: 2009-09-06 11:36:08 +0200 (dim. 06 sept. 2009) $

Method Summary

FieldVector<T>	add(FieldVector<T> v) Compute the sum of this and v.
FieldVector<T>	add(T[] v) Compute the sum of this and v.
FieldVector<T>	append(FieldVector<T> v) Construct a vector by appending a vector to this vector.
FieldVector<T>	append(T d) Construct a vector by appending a T to this vector.
FieldVector<T>	append(T[] a) Construct a vector by appending a T array to this vector.
FieldVector<T>	copy() Returns a (deep) copy of this.
T	dotProduct(FieldVector<T> v) Compute the dot product.
T	dotProduct(T[] v) Compute the dot product.
FieldVector<T>	ebeDivide(FieldVector<T> v) Element-by-element division.
FieldVector<T>	ebeDivide(T[] v) Element-by-element division.
FieldVector<T>	ebeMultiply(FieldVector<T> v) Element-by-element multiplication.
FieldVector<T>	ebeMultiply(T[] v) Element-by-element multiplication.
T[]	getData() Returns vector entries as a T array.
int	getDimension() Returns the size of the vector.
T	getEntry(int index) Returns the entry in the specified index.
Field<T>	getField() Get the type of field elements of the vector.
FieldVector<T>	getSubVector(int index, int n) Get a subvector from consecutive elements.
FieldVector<T>	mapAdd(T d) Map an addition operation to each entry.
FieldVector<T>	mapAddToSelf(T d) Map an addition operation to each entry.
FieldVector<T>	mapDivide(T d) Map a division operation to each entry.
FieldVector<T>	mapDivideToSelf(T d) Map a division operation to each entry.
FieldVector<T>	mapInv() Map the 1/x function to each entry.
FieldVector<T>	mapInvToSelf() Map the 1/x function to each entry.
FieldVector<T>	mapMultiply(T d) Map a multiplication operation to each entry.
FieldVector<T>	mapMultiplyToSelf(T d) Map a multiplication operation to each entry.
FieldVector<T>	mapSubtract(T d) Map a subtraction operation to each entry.
FieldVector<T>	mapSubtractToSelf(T d) Map a subtraction operation to each entry.
FieldMatrix<T>	outerProduct(FieldVector<T> v) Compute the outer product.
FieldMatrix<T>	outerProduct(T[] v) Compute the outer product.
FieldVector<T>	projection(FieldVector<T> v) Find the orthogonal projection of this vector onto another vector.
FieldVector<T>	projection(T[] v) Find the orthogonal projection of this vector onto another vector.
void	set(T value) Set all elements to a single value.
void	setEntry(int index, T value) Set a single element.
void	setSubVector(int index, FieldVector<T> v) Set a set of consecutive elements.
void	setSubVector(int index, T[] v) Set a set of consecutive elements.
FieldVector<T>	subtract(FieldVector<T> v) Compute this minus v.
FieldVector<T>	subtract(T[] v) Compute this minus v.
T[]	toArray() Convert the vector to a T array.

Method Detail

getField

Field<T> getField()

Get the type of field elements of the vector.

Returns:

type of field elements of the vector

copy

FieldVector<T> copy()

Returns a (deep) copy of this.

Returns:

vector copy

add

FieldVector<T> add(FieldVector<T> v)
                                           throws IllegalArgumentException

Compute the sum of this and v.

Parameters:

v - vector to be added

Returns:

this + v

Throws:

IllegalArgumentException - if v is not the same size as this

add

FieldVector<T> add(T[] v)
                                           throws IllegalArgumentException

Compute the sum of this and v.

Parameters:

v - vector to be added

Returns:

this + v

Throws:

IllegalArgumentException - if v is not the same size as this

subtract

FieldVector<T> subtract(FieldVector<T> v)
                                                throws IllegalArgumentException

Compute this minus v.

Parameters:

v - vector to be subtracted

Returns:

this + v

Throws:

IllegalArgumentException - if v is not the same size as this

subtract

FieldVector<T> subtract(T[] v)
                                                throws IllegalArgumentException

Compute this minus v.

Parameters:

v - vector to be subtracted

Returns:

this + v

Throws:

IllegalArgumentException - if v is not the same size as this

mapAdd

FieldVector<T> mapAdd(T d)

Map an addition operation to each entry.

Parameters:

d - value to be added to each entry

Returns:

this + d

mapAddToSelf

FieldVector<T> mapAddToSelf(T d)

Map an addition operation to each entry.

The instance is changed by this method.

Parameters:

d - value to be added to each entry

Returns:

for convenience, return this

mapSubtract

FieldVector<T> mapSubtract(T d)

Map a subtraction operation to each entry.

Parameters:

d - value to be subtracted to each entry

Returns:

this - d

mapSubtractToSelf

FieldVector<T> mapSubtractToSelf(T d)

Map a subtraction operation to each entry.

The instance is changed by this method.

Parameters:

d - value to be subtracted to each entry

Returns:

for convenience, return this

mapMultiply

FieldVector<T> mapMultiply(T d)

Map a multiplication operation to each entry.

Parameters:

d - value to multiply all entries by

Returns:

this * d

mapMultiplyToSelf

FieldVector<T> mapMultiplyToSelf(T d)

Map a multiplication operation to each entry.

The instance is changed by this method.

Parameters:

d - value to multiply all entries by

Returns:

for convenience, return this

mapDivide

FieldVector<T> mapDivide(T d)

Map a division operation to each entry.

Parameters:

d - value to divide all entries by

Returns:

this / d

mapDivideToSelf

FieldVector<T> mapDivideToSelf(T d)

Map a division operation to each entry.

The instance is changed by this method.

Parameters:

d - value to divide all entries by

Returns:

for convenience, return this

mapInv

FieldVector<T> mapInv()

Map the 1/x function to each entry.

Returns:

a vector containing the result of applying the function to each entry

mapInvToSelf

FieldVector<T> mapInvToSelf()

Map the 1/x function to each entry.

The instance is changed by this method.

Returns:

for convenience, return this

ebeMultiply

FieldVector<T> ebeMultiply(FieldVector<T> v)
                                                   throws IllegalArgumentException

Element-by-element multiplication.

Parameters:

v - vector by which instance elements must be multiplied

Returns:

a vector containing this[i] * v[i] for all i

Throws:

IllegalArgumentException - if v is not the same size as this

ebeMultiply

FieldVector<T> ebeMultiply(T[] v)
                                                   throws IllegalArgumentException

Element-by-element multiplication.

Parameters:

v - vector by which instance elements must be multiplied

Returns:

a vector containing this[i] * v[i] for all i

Throws:

IllegalArgumentException - if v is not the same size as this

ebeDivide

FieldVector<T> ebeDivide(FieldVector<T> v)
                                                 throws IllegalArgumentException

Element-by-element division.

Parameters:

v - vector by which instance elements must be divided

Returns:

a vector containing this[i] / v[i] for all i

Throws:

IllegalArgumentException - if v is not the same size as this

ebeDivide

FieldVector<T> ebeDivide(T[] v)
                                                 throws IllegalArgumentException

Element-by-element division.

Parameters:

v - vector by which instance elements must be divided

Returns:

a vector containing this[i] / v[i] for all i

Throws:

IllegalArgumentException - if v is not the same size as this

getData

T[] getData()

Returns vector entries as a T array.

Returns:

T array of entries

dotProduct

T dotProduct(FieldVector<T> v)
                                     throws IllegalArgumentException

Compute the dot product.

Parameters:

v - vector with which dot product should be computed

Returns:

the scalar dot product between instance and v

Throws:

IllegalArgumentException - if v is not the same size as this

dotProduct

T dotProduct(T[] v)
                                     throws IllegalArgumentException

Compute the dot product.

Parameters:

v - vector with which dot product should be computed

Returns:

the scalar dot product between instance and v

Throws:

IllegalArgumentException - if v is not the same size as this

projection

FieldVector<T> projection(FieldVector<T> v)
                                                  throws IllegalArgumentException

Find the orthogonal projection of this vector onto another vector.

Parameters:

v - vector onto which instance must be projected

Returns:

projection of the instance onto v

Throws:

IllegalArgumentException - if v is not the same size as this

projection

FieldVector<T> projection(T[] v)
                                                  throws IllegalArgumentException

Find the orthogonal projection of this vector onto another vector.

Parameters:

v - vector onto which instance must be projected

Returns:

projection of the instance onto v

Throws:

IllegalArgumentException - if v is not the same size as this

outerProduct

FieldMatrix<T> outerProduct(FieldVector<T> v)
                                                    throws IllegalArgumentException

Compute the outer product.

Parameters:

v - vector with which outer product should be computed

Returns:

the square matrix outer product between instance and v

Throws:

IllegalArgumentException - if v is not the same size as this

outerProduct

FieldMatrix<T> outerProduct(T[] v)
                                                    throws IllegalArgumentException

Compute the outer product.

Parameters:

v - vector with which outer product should be computed

Returns:

the square matrix outer product between instance and v

Throws:

IllegalArgumentException - if v is not the same size as this

getEntry

T getEntry(int index)
                                   throws MatrixIndexException

Returns the entry in the specified index.

The index start at 0 and must be lesser than the size, otherwise a MatrixIndexException is thrown.

Parameters:

index - index location of entry to be fetched

Returns:

vector entry at index

Throws:

MatrixIndexException - if the index is not valid

See Also:

setEntry(int, FieldElement)

setEntry

void setEntry(int index,
              T value)
              throws MatrixIndexException

Set a single element.

Parameters:

index - element index.

value - new value for the element.

Throws:

MatrixIndexException - if the index is inconsistent with vector size

See Also:

getEntry(int)

getDimension

int getDimension()

Returns the size of the vector.

Returns:

size

append

FieldVector<T> append(FieldVector<T> v)

Construct a vector by appending a vector to this vector.

Parameters:

v - vector to append to this one.

Returns:

a new vector

append

FieldVector<T> append(T d)

Construct a vector by appending a T to this vector.

Parameters:

d - T to append.

Returns:

a new vector

append

FieldVector<T> append(T[] a)

Construct a vector by appending a T array to this vector.

Parameters:

a - T array to append.

Returns:

a new vector

getSubVector

FieldVector<T> getSubVector(int index,
                            int n)
                                                    throws MatrixIndexException

Get a subvector from consecutive elements.

Parameters:

index - index of first element.

n - number of elements to be retrieved.

Returns:

a vector containing n elements.

Throws:

MatrixIndexException - if the index is inconsistent with vector size

setSubVector

void setSubVector(int index,
                  FieldVector<T> v)
                  throws MatrixIndexException

Set a set of consecutive elements.

Parameters:

index - index of first element to be set.

v - vector containing the values to set.

Throws:

MatrixIndexException - if the index is inconsistent with vector size

See Also:

setSubVector(int, FieldElement[])

setSubVector

void setSubVector(int index,
                  T[] v)
                  throws MatrixIndexException

Set a set of consecutive elements.

Parameters:

index - index of first element to be set.

v - vector containing the values to set.

Throws:

MatrixIndexException - if the index is inconsistent with vector size

See Also:

setSubVector(int, FieldVector)

set

void set(T value)

Set all elements to a single value.

Parameters:

value - single value to set for all elements

toArray

T[] toArray()

Convert the vector to a T array.

The array is independent from vector data, it's elements are copied.

Returns:

array containing a copy of vector elements