com.singularsys.extensions.matrix.genericmat

Class GenericMatrixField<E>

java.lang.Object

com.singularsys.extensions.matrix.genericmat.GenericMatrixField<E>

Type Parameters:

E - Type of an individual element.

Subclasses should implement the methods addEle(Object, Object) to add elements of the base field.

All Implemented Interfaces:

FieldI, IntegerConvertor, MatrixFieldI, JepComponent, java.io.Serializable

Direct Known Subclasses:

ComplexMatrixField, FieldMatrixField, GenericFieldMatrixField, SimpleMatrixField

public abstract class GenericMatrixField<E>
extends java.lang.Object
implements MatrixFieldI

A Generic matrix field providing default implementations for all operations. Sub classes just need to provide implementations of addEle(Object, Object) etc.

Author:

Richard Morris

See Also:

Serialized Form

Field Summary

Fields

Modifier and Type	Field and Description
protected GenericMatrixFactory<E>	mf

Constructor Summary

Constructors

Constructor and Description
GenericMatrixField(GenericMatrixFactory<E> mf) Standard constructor.
GenericMatrixField(GenericMatrixFactory<E> mf, boolean skipElements) Constructor where operations on the base field can be switched off.

Method Summary

Modifier and Type	Method and Description
protected GenericMatrix<E>	add(GenericMatrix<E> lm, GenericMatrix<E> rm)
protected GenericVector<E>	add(GenericVector<E> lv, GenericVector<E> rv)
java.lang.Object	add(java.lang.Object l, java.lang.Object r) Add two members of the field.
protected abstract E	addEle(E l, E r) Adds two elements of the vector/matrix
java.lang.Boolean	and(java.lang.Object l, java.lang.Object r) Logical and.
protected abstract java.lang.Boolean	andEle(E l, E r)
protected E	calcSize(E ele) Get the current "size" of an element
protected boolean	cmpSize(E size, E max) Compare current "size" to maximum.
java.lang.Object	cross(GenericVector<E> lv, GenericVector<E> rv)
java.lang.Object	cross(java.lang.Object l, java.lang.Object r) The cross product of two vectors
protected E	det(GenericMatrix<E> l)
java.lang.Object	det(java.lang.Object l) The determinant of a matrix
protected GenericMatrix<E>	div(GenericMatrix<E> lm, java.lang.Object r)
protected GenericVector<E>	div(GenericVector<E> lv, java.lang.Object r)
java.lang.Object	div(java.lang.Object l, java.lang.Object r) Divides two members of the field.
protected abstract E	divEle(E l, E r)
protected E	dot(GenericVector<E> lv, GenericVector<E> rv)
java.lang.Object	dot(java.lang.Object l, java.lang.Object r) The dot product of two vectors
protected boolean	eq(GenericMatrix<E> lm, GenericMatrix<E> rm)
protected boolean	eq(GenericVector<E> lv, GenericVector<E> rv)
java.lang.Boolean	eq(java.lang.Object l, java.lang.Object r) Equals
protected abstract java.lang.Boolean	eqEle(E l, E r)
java.lang.Boolean	ge(java.lang.Object l, java.lang.Object r) Greater or equal to
protected abstract java.lang.Boolean	geEle(E l, E r)
JepComponent	getLightWeightInstance() Gets a light-weight instance suitable for using in multiple threads.
abstract E	getOne() Get the multiplicative identity for this field.
abstract E	getZero() Get the additive identity for this field
java.lang.Boolean	gt(java.lang.Object l, java.lang.Object r) Greater than
protected abstract java.lang.Boolean	gtEle(E l, E r)
void	init(Jep jep) Initialize the component.
java.lang.Object	inv(java.lang.Object l) Returns the inverse of a square matrix.
protected GenericMatrix<E>	invMat(GenericMatrix<E> mat)
java.lang.Boolean	le(java.lang.Object l, java.lang.Object r) Less than or equals to
protected abstract java.lang.Boolean	leEle(E l, E r)
java.lang.Boolean	lt(java.lang.Object l, java.lang.Object r) Less than
protected abstract java.lang.Boolean	ltEle(E l, E r)
protected GenericMatrix<E>	minor(GenericMatrix<E> l, int row, int col) Creates the matrix of minors by excluding one row and one column
java.lang.Object	mod(java.lang.Object l, java.lang.Object r) Mod operation not defined for matrices
protected abstract E	modEle(E l, E r)
protected GenericMatrix<E>	mul(GenericMatrix<E> lm, GenericMatrix<E> rm)
protected GenericVector<E>	mul(GenericMatrix<E> lm, GenericVector<E> rv)
protected GenericMatrix<E>	mul(GenericMatrix<E> lm, java.lang.Object r)
protected GenericVector<E>	mul(GenericVector<E> lv, GenericMatrix<E> rm)
protected GenericMatrix<E>	mul(GenericVector<E> lv, GenericVector<E> rv)
protected GenericVector<E>	mul(GenericVector<E> lv, java.lang.Object r)
java.lang.Object	mul(java.lang.Object l, java.lang.Object r) Multiplies two members of the field.
protected abstract E	mulEle(E l, E r)
java.lang.Boolean	ne(java.lang.Object l, java.lang.Object r) Not Equals
protected abstract java.lang.Boolean	neEle(E l, E r)
protected GenericMatrix<E>	neg(GenericMatrix<E> lm)
protected GenericVector<E>	neg(GenericVector<E> lv)
java.lang.Object	neg(java.lang.Object l) The negation -x of an element.
protected abstract E	negEle(E l)
java.lang.Boolean	not(java.lang.Object l) Logical not.
protected abstract java.lang.Boolean	notEle(E l)
java.lang.Boolean	or(java.lang.Object l, java.lang.Object r) Logical or.
protected abstract java.lang.Boolean	orEle(E l, E r)
java.lang.Object	pow(java.lang.Object l, java.lang.Object r) Pow operation not defined for matrices
protected abstract E	powEle(E l, E r)
java.lang.Object	solve(java.lang.Object A, java.lang.Object B) Solve equation A * X = B
protected MatrixI	solveMM(GenericMatrix<E> A, GenericMatrix<E> b)
protected VectorI	solveMV(GenericMatrix<E> A, GenericVector<E> b)
protected GenericMatrix<E>	sub(GenericMatrix<E> lm, GenericMatrix<E> rm)
protected GenericVector<E>	sub(GenericVector<E> lv, GenericVector<E> rv)
java.lang.Object	sub(java.lang.Object l, java.lang.Object r) Subtract two members of the field.
protected abstract E	subEle(E l, E r)
protected void	subtractMul(GenericMatrix<E> m, int targetRow, int sourceRow, E mul) Subtract a multiply of the source row from the target m(t,j) = m(t,j) - mul * m(s,j)
protected void	swapRows(MatrixI m, int i, int j) In place swap of two rows
java.lang.Object	trace(GenericMatrix<E> l)
java.lang.Object	trace(java.lang.Object l) Returns the trace of a matrix.
protected GenericMatrix<E>	trans(GenericMatrix<E> l)
java.lang.Object	trans(java.lang.Object l) Transpose of a matrix

Methods inherited from class java.lang.Object

clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

Methods inherited from interface com.singularsys.extensions.field.implementations.IntegerConvertor

convertFromInt, convertToInt

Field Detail

mf

protected GenericMatrixFactory<E> mf

Constructor Detail

GenericMatrixField

public GenericMatrixField(GenericMatrixFactory<E> mf)

Standard constructor.

Parameters:

mf - The factory used to generate matrices

GenericMatrixField

public GenericMatrixField(GenericMatrixFactory<E> mf,
                          boolean skipElements)

Constructor where operations on the base field can be switched off. By default the add operator will add vectors/matrices over a base field and also add elements in that field. So it will calculate (2,3)+(4,5) but also 6+7. Setting skipElements to true means that it will calculate (2,3)+(4,5) but return null if given 6+7. This will need to be specified by some other field. Its not intended to use this constructor but left here for case where it is needed.

Parameters:

mf - The factory used to generate matrices

skipElements - whether to skip operations on the base elements

Method Detail

addEle

protected abstract E addEle(E l,
                            E r)
                     throws EvaluationException

Adds two elements of the vector/matrix

Parameters:

l - lhs element

r - rhs element

Returns:

their sum

Throws:

EvaluationException

subEle

protected abstract E subEle(E l,
                            E r)
                     throws EvaluationException

Throws:

EvaluationException

negEle

protected abstract E negEle(E l)
                     throws EvaluationException

Throws:

EvaluationException

mulEle

protected abstract E mulEle(E l,
                            E r)
                     throws EvaluationException

Throws:

EvaluationException

modEle

protected abstract E modEle(E l,
                            E r)
                     throws EvaluationException

Throws:

EvaluationException

divEle

protected abstract E divEle(E l,
                            E r)
                     throws EvaluationException

Throws:

EvaluationException

powEle

protected abstract E powEle(E l,
                            E r)
                     throws EvaluationException

Throws:

EvaluationException

eqEle

protected abstract java.lang.Boolean eqEle(E l,
                                           E r)
                                    throws EvaluationException

Throws:

EvaluationException

neEle

protected abstract java.lang.Boolean neEle(E l,
                                           E r)
                                    throws EvaluationException

Throws:

EvaluationException

ltEle

protected abstract java.lang.Boolean ltEle(E l,
                                           E r)
                                    throws EvaluationException

Throws:

EvaluationException

leEle

protected abstract java.lang.Boolean leEle(E l,
                                           E r)
                                    throws EvaluationException

Throws:

EvaluationException

gtEle

protected abstract java.lang.Boolean gtEle(E l,
                                           E r)
                                    throws EvaluationException

Throws:

EvaluationException

geEle

protected abstract java.lang.Boolean geEle(E l,
                                           E r)
                                    throws EvaluationException

Throws:

EvaluationException

andEle

protected abstract java.lang.Boolean andEle(E l,
                                            E r)
                                     throws EvaluationException

Throws:

EvaluationException

orEle

protected abstract java.lang.Boolean orEle(E l,
                                           E r)
                                    throws EvaluationException

Throws:

EvaluationException

notEle

protected abstract java.lang.Boolean notEle(E l)
                                     throws EvaluationException

Throws:

EvaluationException

add

public java.lang.Object add(java.lang.Object l,
                            java.lang.Object r)
                     throws EvaluationException

Description copied from interface: FieldI

Add two members of the field.

Specified by:

add in interface FieldI

Parameters:

l - left hand argument

r - right hand argument

Returns:

an object representing the result or null if it can not be evaluated.

Throws:

EvaluationException - on error

add

protected GenericVector<E> add(GenericVector<E> lv,
                               GenericVector<E> rv)
                        throws EvaluationException

Throws:

EvaluationException

add

protected GenericMatrix<E> add(GenericMatrix<E> lm,
                               GenericMatrix<E> rm)
                        throws EvaluationException

Throws:

EvaluationException

sub

public java.lang.Object sub(java.lang.Object l,
                            java.lang.Object r)
                     throws EvaluationException

Description copied from interface: FieldI

Subtract two members of the field.

Specified by:

sub in interface FieldI

Parameters:

l - left hand argument

r - right hand argument

Returns:

an object representing the result or null if it can not be evaluated.

Throws:

EvaluationException - on error

sub

protected GenericMatrix<E> sub(GenericMatrix<E> lm,
                               GenericMatrix<E> rm)
                        throws EvaluationException

Throws:

EvaluationException

sub

protected GenericVector<E> sub(GenericVector<E> lv,
                               GenericVector<E> rv)
                        throws EvaluationException

Throws:

EvaluationException

neg

public java.lang.Object neg(java.lang.Object l)
                     throws EvaluationException

Description copied from interface: FieldI

The negation -x of an element.

Specified by:

neg in interface FieldI

Parameters:

l - the argument

Returns:

an object representing the result or null if it can not be evaluated.

Throws:

EvaluationException - on error

neg

protected GenericMatrix<E> neg(GenericMatrix<E> lm)
                        throws EvaluationException

Throws:

EvaluationException

neg

protected GenericVector<E> neg(GenericVector<E> lv)
                        throws EvaluationException

Throws:

EvaluationException

mul

public java.lang.Object mul(java.lang.Object l,
                            java.lang.Object r)
                     throws EvaluationException

Description copied from interface: FieldI

Multiplies two members of the field.

Specified by:

mul in interface FieldI

Parameters:

l - left hand argument

r - right hand argument

Returns:

an object representing the result or null if it can not be evaluated.

Throws:

EvaluationException - on error

mul

protected GenericMatrix<E> mul(GenericMatrix<E> lm,
                               GenericMatrix<E> rm)
                        throws EvaluationException

Throws:

EvaluationException

mul

protected GenericVector<E> mul(GenericMatrix<E> lm,
                               GenericVector<E> rv)
                        throws EvaluationException

Throws:

EvaluationException

mul

protected GenericVector<E> mul(GenericVector<E> lv,
                               GenericMatrix<E> rm)
                        throws EvaluationException

Throws:

EvaluationException

mul

protected GenericMatrix<E> mul(GenericVector<E> lv,
                               GenericVector<E> rv)
                        throws EvaluationException

Throws:

EvaluationException

mul

protected GenericMatrix<E> mul(GenericMatrix<E> lm,
                               java.lang.Object r)
                        throws EvaluationException

Throws:

EvaluationException

mul

protected GenericVector<E> mul(GenericVector<E> lv,
                               java.lang.Object r)
                        throws EvaluationException

Throws:

EvaluationException

div

public java.lang.Object div(java.lang.Object l,
                            java.lang.Object r)
                     throws EvaluationException

Description copied from interface: FieldI

Divides two members of the field.

Specified by:

div in interface FieldI

Parameters:

l - left hand argument

r - right hand argument

Returns:

an object representing the result or null if it can not be evaluated.

Throws:

EvaluationException - on error

div

protected GenericVector<E> div(GenericVector<E> lv,
                               java.lang.Object r)
                        throws EvaluationException

Throws:

EvaluationException

div

protected GenericMatrix<E> div(GenericMatrix<E> lm,
                               java.lang.Object r)
                        throws EvaluationException

Throws:

EvaluationException

mod

public java.lang.Object mod(java.lang.Object l,
                            java.lang.Object r)
                     throws EvaluationException

Mod operation not defined for matrices

Specified by:

mod in interface FieldI

Parameters:

l - left hand argument

r - right hand argument

Returns:

null

Throws:

EvaluationException

pow

public java.lang.Object pow(java.lang.Object l,
                            java.lang.Object r)
                     throws EvaluationException

Pow operation not defined for matrices

Specified by:

pow in interface FieldI

Parameters:

l - left hand argument

r - right hand argument

Returns:

null

Throws:

EvaluationException

eq

public java.lang.Boolean eq(java.lang.Object l,
                            java.lang.Object r)
                     throws EvaluationException

Description copied from interface: FieldI

Equals

Specified by:

eq in interface FieldI

Parameters:

l - left hand argument

r - right hand argument

Returns:

an object representing the result or null if it can not be evaluated.

Throws:

EvaluationException - on error

ne

public java.lang.Boolean ne(java.lang.Object l,
                            java.lang.Object r)
                     throws EvaluationException

Description copied from interface: FieldI

Not Equals

Specified by:

ne in interface FieldI

Parameters:

l - left hand argument

r - right hand argument

Returns:

an object representing the result or null if it can not be evaluated.

Throws:

EvaluationException - on error

eq

protected boolean eq(GenericMatrix<E> lm,
                     GenericMatrix<E> rm)
              throws EvaluationException

Throws:

EvaluationException

eq

protected boolean eq(GenericVector<E> lv,
                     GenericVector<E> rv)
              throws EvaluationException

Throws:

EvaluationException

gt

public java.lang.Boolean gt(java.lang.Object l,
                            java.lang.Object r)
                     throws EvaluationException

Description copied from interface: FieldI

Greater than

Specified by:

gt in interface FieldI

Parameters:

l - left hand argument

r - right hand argument

Returns:

an object representing the result or null if it can not be evaluated.

Throws:

EvaluationException - on error

ge

public java.lang.Boolean ge(java.lang.Object l,
                            java.lang.Object r)
                     throws EvaluationException

Description copied from interface: FieldI

Greater or equal to

Specified by:

ge in interface FieldI

Parameters:

l - left hand argument

r - right hand argument

Returns:

an object representing the result or null if it can not be evaluated.

Throws:

EvaluationException - on error

lt

public java.lang.Boolean lt(java.lang.Object l,
                            java.lang.Object r)
                     throws EvaluationException

Description copied from interface: FieldI

Less than

Specified by:

lt in interface FieldI

Parameters:

l - left hand argument

r - right hand argument

Returns:

an object representing the result or null if it can not be evaluated.

Throws:

EvaluationException - on error

le

public java.lang.Boolean le(java.lang.Object l,
                            java.lang.Object r)
                     throws EvaluationException

Description copied from interface: FieldI

Less than or equals to

Specified by:

le in interface FieldI

Parameters:

l - left hand argument

r - right hand argument

Returns:

an object representing the result or null if it can not be evaluated.

Throws:

EvaluationException - on error

and

public java.lang.Boolean and(java.lang.Object l,
                             java.lang.Object r)
                      throws EvaluationException

Description copied from interface: FieldI

Logical and.

Specified by:

and in interface FieldI

Parameters:

l - left hand argument implimentation

r - right hand argument

Returns:

an object representing the result or null if it can not be evaluated.

Throws:

EvaluationException - on error

or

public java.lang.Boolean or(java.lang.Object l,
                            java.lang.Object r)
                     throws EvaluationException

Description copied from interface: FieldI

Logical or.

Specified by:

or in interface FieldI

Parameters:

l - left hand argument

r - right hand argument

Returns:

an object representing the result or null if it can not be evaluated.

Throws:

EvaluationException - on error

not

public java.lang.Boolean not(java.lang.Object l)
                      throws EvaluationException

Description copied from interface: FieldI

Logical not.

Specified by:

not in interface FieldI

Parameters:

l - argument

Returns:

an object representing the result or null if it can not be evaluated.

Throws:

EvaluationException - on error

det

public java.lang.Object det(java.lang.Object l)
                     throws EvaluationException

Description copied from interface: MatrixFieldI

The determinant of a matrix

Specified by:

det in interface MatrixFieldI

Returns:

the determinant of mat if it is a matrix

Throws:

EvaluationException

det

protected E det(GenericMatrix<E> l)
         throws EvaluationException

Throws:

EvaluationException

trace

public java.lang.Object trace(java.lang.Object l)
                       throws EvaluationException

Description copied from interface: MatrixFieldI

Returns the trace of a matrix.

Specified by:

trace in interface MatrixFieldI

Parameters:

l - the matrix

Returns:

the trace

Throws:

EvaluationException

trace

public java.lang.Object trace(GenericMatrix<E> l)
                       throws EvaluationException

Throws:

EvaluationException

minor

protected GenericMatrix<E> minor(GenericMatrix<E> l,
                                 int row,
                                 int col)
                          throws EvaluationException

Creates the matrix of minors by excluding one row and one column

Parameters:

l -

row - the row to exclude

col - the column to exclude

Returns:

matrix of minors

Throws:

EvaluationException

trans

public java.lang.Object trans(java.lang.Object l)
                       throws EvaluationException

Description copied from interface: MatrixFieldI

Transpose of a matrix

Specified by:

trans in interface MatrixFieldI

Parameters:

l - the matrix

Returns:

a matrix containing the transpose

Throws:

EvaluationException

trans

protected GenericMatrix<E> trans(GenericMatrix<E> l)

dot

public java.lang.Object dot(java.lang.Object l,
                            java.lang.Object r)
                     throws EvaluationException

Description copied from interface: MatrixFieldI

The dot product of two vectors

Specified by:

dot in interface MatrixFieldI

Returns:

the dot product if both arguments are vectors, null otherwise.

Throws:

EvaluationException

dot

protected E dot(GenericVector<E> lv,
                GenericVector<E> rv)
         throws EvaluationException

Throws:

EvaluationException

cross

public java.lang.Object cross(java.lang.Object l,
                              java.lang.Object r)
                       throws EvaluationException

Description copied from interface: MatrixFieldI

The cross product of two vectors

Specified by:

cross in interface MatrixFieldI

Returns:

a vector with the cross product

Throws:

EvaluationException - if either vectors not of length 3

cross

public java.lang.Object cross(GenericVector<E> lv,
                              GenericVector<E> rv)
                       throws EvaluationException

Throws:

EvaluationException

swapRows

protected void swapRows(MatrixI m,
                        int i,
                        int j)
                 throws EvaluationException

In place swap of two rows

Parameters:

m - matrix

i - index of first row

j - index of second row

Throws:

EvaluationException

subtractMul

protected void subtractMul(GenericMatrix<E> m,
                           int targetRow,
                           int sourceRow,
                           E mul)
                    throws EvaluationException

Subtract a multiply of the source row from the target m(t,j) = m(t,j) - mul * m(s,j)

Parameters:

m -

targetRow -

sourceRow -

mul -

Throws:

EvaluationException

getZero

public abstract E getZero()

Description copied from interface: FieldI

Get the additive identity for this field

Specified by:

getZero in interface FieldI

Returns:

object representing zero or null if undefined for this field

getOne

public abstract E getOne()

Description copied from interface: FieldI

Get the multiplicative identity for this field.

Specified by:

getOne in interface FieldI

Returns:

object representing one or null if undefined for this field

invMat

protected GenericMatrix<E> invMat(GenericMatrix<E> mat)
                           throws EvaluationException

Throws:

EvaluationException

calcSize

protected E calcSize(E ele)
              throws EvaluationException

Get the current "size" of an element

Parameters:

ele -

Returns:

Throws:

EvaluationException

cmpSize

protected boolean cmpSize(E size,
                          E max)
                   throws EvaluationException

Compare current "size" to maximum.

Parameters:

size - current

max - maximum

Returns:

true is size > max

Throws:

EvaluationException

inv

public java.lang.Object inv(java.lang.Object l)
                     throws EvaluationException

Description copied from interface: MatrixFieldI

Returns the inverse of a square matrix.

Specified by:

inv in interface MatrixFieldI

Parameters:

l - the matrix

Returns:

the trace

Throws:

EvaluationException - if matrix is not square or is singular

solveMM

protected MatrixI solveMM(GenericMatrix<E> A,
                          GenericMatrix<E> b)
                   throws EvaluationException

Throws:

EvaluationException

solveMV

protected VectorI solveMV(GenericMatrix<E> A,
                          GenericVector<E> b)
                   throws EvaluationException

Throws:

EvaluationException

solve

public java.lang.Object solve(java.lang.Object A,
                              java.lang.Object B)
                       throws EvaluationException

Description copied from interface: MatrixFieldI

Solve equation A * X = B

Specified by:

solve in interface MatrixFieldI

Parameters:

A - a square matrix

B - either a vector or matrix with same number of rows as A

Returns:

a vector or matrix solving equations

Throws:

EvaluationException - if matrix is not square or is singular

init

public void init(Jep jep)

Description copied from interface: JepComponent

Initialize the component. This methods is called whenever a component is added to Jep. Hence it allows components to keep track of the other components they may rely on.

Specified by:

init in interface JepComponent

Parameters:

jep - the current Jep instance

getLightWeightInstance

public JepComponent getLightWeightInstance()

Description copied from interface: JepComponent

Gets a light-weight instance suitable for using in multiple threads.

Specified by:

getLightWeightInstance in interface JepComponent

Returns:

either an new instance, or 'this'.