edu.jas.vector

Class GenMatrixRing<C extends RingElem<C>>

java.lang.Object

edu.jas.vector.GenMatrixRing<C>

All Implemented Interfaces:

AbelianGroupFactory<GenMatrix<C>>, AlgebraFactory<GenMatrix<C>,C>, ElemFactory<GenMatrix<C>>, MonoidFactory<GenMatrix<C>>, RingFactory<GenMatrix<C>>, java.io.Serializable

public class GenMatrixRing<C extends RingElem<C>>
extends java.lang.Object
implements AlgebraFactory<GenMatrix<C>,C>

GenMatrixRing implements a generic matrix algebra factory with RingFactory. Matrices of n rows and m columns over C.

Author:

Heinz Kredel

See Also:

Serialized Form

Field Summary

Fields

Modifier and Type	Field and Description
int	blocksize
RingFactory<C>	coFac
int	cols
static int	DEFAULT_BSIZE
static float	DEFAULT_DENSITY
GenMatrix<C>	ONE
int	rows
GenMatrix<C>	ZERO

Constructor Summary

Constructors

Constructor and Description
GenMatrixRing(RingFactory<C> b, int r, int c) Constructors for GenMatrixRing.
GenMatrixRing(RingFactory<C> b, int r, int c, int s) Constructors for GenMatrixRing.

Method Summary

Modifier and Type	Method and Description
java.math.BigInteger	characteristic() Characteristic of this ring.
GenMatrix<C>	copy(GenMatrix<C> c) Copy matrix.
boolean	equals(java.lang.Object other) Comparison with any other object.
GenMatrix<C>	fromInteger(java.math.BigInteger a) Get the matrix for a.
GenMatrix<C>	fromInteger(long a) Get the matrix for a.
GenMatrix<C>	fromList(java.util.List<java.util.List<C>> om) From List of coefficients.
GenMatrix<C>	generate(java.util.function.BiFunction<java.lang.Integer,java.lang.Integer,C> gener) Generate matrix via lambda expression.
java.util.List<GenMatrix<C>>	generators() Get a list of the generating elements.
GenMatrix<C>	getONE() Get the constant one for the GenMatrix.
GenMatrix<C>	getZERO() Get the constant one for the GenMatrix.
int	hashCode() Hash code for this matrix ring.
boolean	isAssociative() Query if this ring is associative.
boolean	isCommutative() Query if this monoid is commutative.
boolean	isField() Query if this ring is a field.
boolean	isFinite() Is this structure finite or infinite.
GenMatrix<C>	parse(java.io.Reader r) Parse a matrix from a Reader.
GenMatrix<C>	parse(java.lang.String s) Parse a matrix from a String.
GenMatrixRing<C>	product(GenMatrixRing<C> other) Product matrix ring for multiplication.
GenMatrix<C>	random(int k) Random matrix.
GenMatrix<C>	random(int k, float q) Random matrix.
GenMatrix<C>	random(int k, float q, java.util.Random random) Random matrix.
GenMatrix<C>	random(int k, java.util.Random random) Random matrix.
GenMatrix<C>	randomLower(int k, float q) Random lower triangular matrix.
GenMatrix<C>	randomLower(int k, float q, java.util.Random random) Random lower triangular matrix.
GenMatrix<C>	randomUpper(int k, float q) Random upper triangular matrix.
GenMatrix<C>	randomUpper(int k, float q, java.util.Random random) Random upper triangular matrix.
java.lang.String	toScript() Get a scripting compatible string representation.
java.lang.String	toString() Get the String representation as RingElem.
GenMatrixRing<C>	transpose() Transposed matrix ring.

Methods inherited from class java.lang.Object

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

Field Detail

coFac

public final RingFactory<C extends RingElem<C>> coFac

rows

public final int rows

cols

public final int cols

blocksize

public final int blocksize

DEFAULT_BSIZE

public static final int DEFAULT_BSIZE

See Also:

Constant Field Values

ZERO

public final GenMatrix<C extends RingElem<C>> ZERO

ONE

public final GenMatrix<C extends RingElem<C>> ONE

DEFAULT_DENSITY

public static final float DEFAULT_DENSITY

See Also:

Constant Field Values

Constructor Detail

GenMatrixRing

public GenMatrixRing(RingFactory<C> b,
                     int r,
                     int c)

Constructors for GenMatrixRing.

Parameters:

b - coefficient factory.

r - number of rows.

c - number of colums.

GenMatrixRing

public GenMatrixRing(RingFactory<C> b,
                     int r,
                     int c,
                     int s)

Constructors for GenMatrixRing.

Parameters:

b - coefficient factory.

r - number of rows.

c - number of colums.

s - block size for blocked operations.

Method Detail

toString

public java.lang.String toString()

Get the String representation as RingElem.

Overrides:

toString in class java.lang.Object

See Also:

Object.toString()

toScript

public java.lang.String toScript()

Get a scripting compatible string representation.

Specified by:

toScript in interface ElemFactory<GenMatrix<C extends RingElem<C>>>

Returns:

script compatible representation for this ElemFactory.

See Also:

ElemFactory.toScript()

getZERO

public GenMatrix<C> getZERO()

Get the constant one for the GenMatrix.

Specified by:

getZERO in interface AbelianGroupFactory<GenMatrix<C extends RingElem<C>>>

Returns:

ZERO.

getONE

public GenMatrix<C> getONE()

Get the constant one for the GenMatrix.

Specified by:

getONE in interface MonoidFactory<GenMatrix<C extends RingElem<C>>>

Returns:

1.

generators

public java.util.List<GenMatrix<C>> generators()

Get a list of the generating elements.

Specified by:

generators in interface ElemFactory<GenMatrix<C extends RingElem<C>>>

Returns:

list of generators for the algebraic structure.

See Also:

ElemFactory.generators()

isFinite

public boolean isFinite()

Is this structure finite or infinite.

Specified by:

isFinite in interface ElemFactory<GenMatrix<C extends RingElem<C>>>

Returns:

true if this structure is finite, else false.

See Also:

ElemFactory.isFinite()

equals

public boolean equals(java.lang.Object other)

Comparison with any other object.

Overrides:

equals in class java.lang.Object

See Also:

Object.equals(java.lang.Object)

hashCode

public int hashCode()

Hash code for this matrix ring.

Overrides:

hashCode in class java.lang.Object

See Also:

Object.hashCode()

isField

public boolean isField()

Query if this ring is a field. May return false if it is to hard to determine if this ring is a field.

Specified by:

isField in interface RingFactory<GenMatrix<C extends RingElem<C>>>

Returns:

true if it is known that this ring is a field, else false.

isCommutative

public boolean isCommutative()

Query if this monoid is commutative.

Specified by:

isCommutative in interface MonoidFactory<GenMatrix<C extends RingElem<C>>>

Returns:

true if this monoid is commutative, else false.

isAssociative

public boolean isAssociative()

Query if this ring is associative.

Specified by:

isAssociative in interface MonoidFactory<GenMatrix<C extends RingElem<C>>>

Returns:

true if this monoid is associative, else false.

characteristic

public java.math.BigInteger characteristic()

Characteristic of this ring.

Specified by:

characteristic in interface RingFactory<GenMatrix<C extends RingElem<C>>>

Returns:

characteristic of this ring.

transpose

public GenMatrixRing<C> transpose()

Transposed matrix ring.

Returns:

transposed ring factory.

product

public GenMatrixRing<C> product(GenMatrixRing<C> other)

Product matrix ring for multiplication.

Parameters:

other - matrix ring factory.

Returns:

product ring factory.

fromInteger

public GenMatrix<C> fromInteger(long a)

Get the matrix for a.

Specified by:

fromInteger in interface ElemFactory<GenMatrix<C extends RingElem<C>>>

Parameters:

a - long

Returns:

matrix corresponding to a.

fromInteger

public GenMatrix<C> fromInteger(java.math.BigInteger a)

Get the matrix for a.

Specified by:

fromInteger in interface ElemFactory<GenMatrix<C extends RingElem<C>>>

Parameters:

a - long

Returns:

matrix corresponding to a.

fromList

public GenMatrix<C> fromList(java.util.List<java.util.List<C>> om)

From List of coefficients.

Specified by:

fromList in interface AlgebraFactory<GenMatrix<C extends RingElem<C>>,C extends RingElem<C>>

Parameters:

om - list of list of coefficients.

Returns:

a matrix with the elements from m.

random

public GenMatrix<C> random(int k)

Random matrix.

Specified by:

random in interface ElemFactory<GenMatrix<C extends RingElem<C>>>

Parameters:

k - size of random coefficients.

Returns:

a random element.

random

public GenMatrix<C> random(int k,
                           float q)

Random matrix.

Specified by:

random in interface AlgebraFactory<GenMatrix<C extends RingElem<C>>,C extends RingElem<C>>

Parameters:

k - size of random coefficients.

q - density of nozero coefficients.

Returns:

a random matrix.

random

public GenMatrix<C> random(int k,
                           java.util.Random random)

Random matrix.

Specified by:

random in interface ElemFactory<GenMatrix<C extends RingElem<C>>>

Parameters:

k - size of random coefficients.

random - is a source for random bits.

Returns:

a random element.

random

public GenMatrix<C> random(int k,
                           float q,
                           java.util.Random random)

Random matrix.

Parameters:

k - size of random coefficients.

q - density of nozero coefficients.

random - is a source for random bits.

Returns:

a random element.

randomUpper

public GenMatrix<C> randomUpper(int k,
                                float q)

Random upper triangular matrix.

Parameters:

k - size of random coefficients.

q - density of nozero coefficients.

randomUpper

public GenMatrix<C> randomUpper(int k,
                                float q,
                                java.util.Random random)

Random upper triangular matrix.

Parameters:

k - size of random coefficients.

q - density of nozero coefficients.

random - is a source for random bits.

Returns:

a random element.

randomLower

public GenMatrix<C> randomLower(int k,
                                float q)

Random lower triangular matrix.

Parameters:

k - size of random coefficients.

q - density of nozero coefficients.

randomLower

public GenMatrix<C> randomLower(int k,
                                float q,
                                java.util.Random random)

Random lower triangular matrix.

Parameters:

k - size of random coefficients.

q - density of nozero coefficients.

random - is a source for random bits.

Returns:

a random element.

copy

public GenMatrix<C> copy(GenMatrix<C> c)

Copy matrix.

Specified by:

copy in interface ElemFactory<GenMatrix<C extends RingElem<C>>>

Parameters:

c - matrix to copy.

Returns:

copy of the matrix

generate

public GenMatrix<C> generate(java.util.function.BiFunction<java.lang.Integer,java.lang.Integer,C> gener)

Generate matrix via lambda expression.

Parameters:

gener - lambda expression.

Returns:

the generated matrix.

parse

public GenMatrix<C> parse(java.lang.String s)

Parse a matrix from a String. Syntax: [ [ c, ..., c ], ..., [ c, ..., c ] ]

Specified by:

parse in interface ElemFactory<GenMatrix<C extends RingElem<C>>>

Parameters:

s - input String.

Returns:

parsed matrix

parse

public GenMatrix<C> parse(java.io.Reader r)

Parse a matrix from a Reader.

Specified by:

parse in interface ElemFactory<GenMatrix<C extends RingElem<C>>>

Parameters:

r - Reader.

Returns:

parsed matrix