SolvableLocalRing

java.lang.Object
- edu.jas.application.SolvableLocalRing<C>

All Implemented Interfaces:

AbelianGroupFactory<SolvableLocal<C>>, ElemFactory<SolvableLocal<C>>, MonoidFactory<SolvableLocal<C>>, QuotPairFactory<GenPolynomial<C>,SolvableLocal<C>>, RingFactory<SolvableLocal<C>>, java.io.Serializable
```
public class SolvableLocalRing<C extends GcdRingElem<C>>
extends java.lang.Object
implements RingFactory<SolvableLocal<C>>, QuotPairFactory<GenPolynomial<C>,SolvableLocal<C>>
```
SolvableLocal ring factory for SolvableLocal with GcdRingElem interface. Objects of this class are immutable.

Author:

Heinz Kredel

See Also:

Serialized Form

Field Summary

Fields
Modifier and Type	Field and Description
`protected SolvableGroebnerBaseAbstract<C>`	`bb` Groebner base engine.
`SolvableSyzygyAbstract<C>`	`engine` Syzygy engine of the factory.
`SolvableIdeal<C>`	`ideal` Solvable polynomial ideal for localization.
`protected int`	`isField` Indicator if this ring is a field.
`GenSolvablePolynomialRing<C>`	`ring` Solvable polynomial ring of the factory.

Constructor Summary

Constructors
Constructor and Description

SolvableLocalRing(SolvableIdeal<C> i)
The constructor creates a SolvableLocalRing object from a SolvableIdeal.

Constructors
Constructor and Description
`SolvableLocalRing(SolvableIdeal<C> i)` The constructor creates a SolvableLocalRing object from a SolvableIdeal.

Method Summary

All Methods Instance Methods Concrete Methods
Modifier and Type	Method and Description
`java.math.BigInteger`	`characteristic()` Characteristic of this ring.
`SolvableLocal<C>`	`copy(SolvableLocal<C> c)` Copy SolvableLocal element c.
`SolvableLocal<C>`	`create(GenPolynomial<C> n)` Create from numerator.
`SolvableLocal<C>`	`create(GenPolynomial<C> n, GenPolynomial<C> d)` Create from numerator, denominator pair.
`boolean`	`equals(java.lang.Object b)` Comparison with any other object.
`SolvableLocal<C>`	`fromInteger(java.math.BigInteger a)` Get a SolvableLocal element from a BigInteger value.
`SolvableLocal<C>`	`fromInteger(long a)` Get a SolvableLocal element from a long value.
`java.util.List<SolvableLocal<C>>`	`generators()` Get a list of the generating elements.
`SolvableLocal<C>`	`getONE()` Get the one element.
`SolvableLocal<C>`	`getZERO()` Get the zero element.
`int`	`hashCode()` Hash code for this local ring.
`boolean`	`isAssociative()` Query if this ring is associative.
`boolean`	`isCommutative()` Query if this ring is commutative.
`boolean`	`isField()` Query if this ring is a field.
`boolean`	`isFinite()` Is this structure finite or infinite.
`GenSolvablePolynomialRing<C>`	`pairFactory()` Factory for base elements.
`SolvableLocal<C>`	`parse(java.io.Reader r)` Parse SolvableLocal from Reader.
`SolvableLocal<C>`	`parse(java.lang.String s)` Parse SolvableLocal from String.
`SolvableLocal<C>`	`random(int n)` SolvableLocal random.
`SolvableLocal<C>`	`random(int k, int l, int d, float q)` Generate a random residum polynomial.
`SolvableLocal<C>`	`random(int n, java.util.Random rnd)` SolvableLocal random.
`java.lang.String`	`toScript()` Get a scripting compatible string representation.
`java.lang.String`	`toString()` Get the String representation as RingFactory.

Methods inherited from class java.lang.Object
clone, finalize, getClass, notify, notifyAll, wait, wait, wait

- Field Detail
  - ideal
```
public final SolvableIdeal<C extends GcdRingElem<C>> ideal
```
    Solvable polynomial ideal for localization.
  - ring
```
public final GenSolvablePolynomialRing<C extends GcdRingElem<C>> ring
```
    Solvable polynomial ring of the factory.
  - engine
```
public final SolvableSyzygyAbstract<C extends GcdRingElem<C>> engine
```
    Syzygy engine of the factory.
  - bb
```
protected final SolvableGroebnerBaseAbstract<C extends GcdRingElem<C>> bb
```
    Groebner base engine.
  - isField
```
protected int isField
```
    Indicator if this ring is a field.
- Constructor Detail
  - SolvableLocalRing
```
public SolvableLocalRing(SolvableIdeal<C> i)
```
    The constructor creates a SolvableLocalRing object from a SolvableIdeal.
    
    Parameters:
    
    i - solvable localization polynomial ideal.
- Method Detail
  - pairFactory
```
public GenSolvablePolynomialRing<C> pairFactory()
```
    Factory for base elements.
    
    Specified by:
    
    pairFactory in interface QuotPairFactory<GenPolynomial<C extends GcdRingElem<C>>,SolvableLocal<C extends GcdRingElem<C>>>
  - create
```
public SolvableLocal<C> create(GenPolynomial<C> n)
```
    Create from numerator.
    
    Specified by:
    
    create in interface QuotPairFactory<GenPolynomial<C extends GcdRingElem<C>>,SolvableLocal<C extends GcdRingElem<C>>>
  - create
```
public SolvableLocal<C> create(GenPolynomial<C> n,
                               GenPolynomial<C> d)
```
    Create from numerator, denominator pair.
    
    Specified by:
    
    create in interface QuotPairFactory<GenPolynomial<C extends GcdRingElem<C>>,SolvableLocal<C extends GcdRingElem<C>>>
  - isFinite
```
public boolean isFinite()
```
    Is this structure finite or infinite.
    
    Specified by:
    
    isFinite in interface ElemFactory<SolvableLocal<C extends GcdRingElem<C>>>
    
    Returns:
    
    true if this structure is finite, else false.
  - copy
```
public SolvableLocal<C> copy(SolvableLocal<C> c)
```
    Copy SolvableLocal element c.
    
    Specified by:
    
    copy in interface ElemFactory<SolvableLocal<C extends GcdRingElem<C>>>
    
    Parameters:
    
    c - element to copy
    
    Returns:
    
    a copy of c.
  - getZERO
```
public SolvableLocal<C> getZERO()
```
    Get the zero element.
    
    Specified by:
    
    getZERO in interface AbelianGroupFactory<SolvableLocal<C extends GcdRingElem<C>>>
    
    Returns:
    
    0 as SolvableLocal.
  - getONE
```
public SolvableLocal<C> getONE()
```
    Get the one element.
    
    Specified by:
    
    getONE in interface MonoidFactory<SolvableLocal<C extends GcdRingElem<C>>>
    
    Returns:
    
    1 as SolvableLocal.
  - generators
```
public java.util.List<SolvableLocal<C>> generators()
```
    Get a list of the generating elements.
    
    Specified by:
    
    generators in interface ElemFactory<SolvableLocal<C extends GcdRingElem<C>>>
    
    Returns:
    
    list of generators for the algebraic structure.
  - isCommutative
```
public boolean isCommutative()
```
    Query if this ring is commutative.
    
    Specified by:
    
    isCommutative in interface MonoidFactory<SolvableLocal<C extends GcdRingElem<C>>>
    
    Returns:
    
    true if this ring is commutative, else false.
  - isAssociative
```
public boolean isAssociative()
```
    Query if this ring is associative.
    
    Specified by:
    
    isAssociative in interface MonoidFactory<SolvableLocal<C extends GcdRingElem<C>>>
    
    Returns:
    
    true if this ring is associative, else false.
  - isField
```
public boolean isField()
```
    Query if this ring is a field.
    
    Specified by:
    
    isField in interface RingFactory<SolvableLocal<C extends GcdRingElem<C>>>
    
    Returns:
    
    false.
  - characteristic
```
public java.math.BigInteger characteristic()
```
    Characteristic of this ring.
    
    Specified by:
    
    characteristic in interface RingFactory<SolvableLocal<C extends GcdRingElem<C>>>
    
    Returns:
    
    characteristic of this ring.
  - fromInteger
```
public SolvableLocal<C> fromInteger(java.math.BigInteger a)
```
    Get a SolvableLocal element from a BigInteger value.
    
    Specified by:
    
    fromInteger in interface ElemFactory<SolvableLocal<C extends GcdRingElem<C>>>
    
    Parameters:
    
    a - BigInteger.
    
    Returns:
    
    a SolvableLocal.
  - fromInteger
```
public SolvableLocal<C> fromInteger(long a)
```
    Get a SolvableLocal element from a long value.
    
    Specified by:
    
    fromInteger in interface ElemFactory<SolvableLocal<C extends GcdRingElem<C>>>
    
    Parameters:
    
    a - long.
    
    Returns:
    
    a SolvableLocal.
  - toString
```
public java.lang.String toString()
```
    Get the String representation as RingFactory.
    
    Overrides:
    
    toString in class java.lang.Object
  - toScript
```
public java.lang.String toScript()
```
    Get a scripting compatible string representation.
    
    Specified by:
    
    toScript in interface ElemFactory<SolvableLocal<C extends GcdRingElem<C>>>
    
    Returns:
    
    script compatible representation for this ElemFactory.
  - equals
```
public boolean equals(java.lang.Object b)
```
    Comparison with any other object.
    
    Overrides:
    
    equals in class java.lang.Object
  - hashCode
```
public int hashCode()
```
    Hash code for this local ring.
    
    Overrides:
    
    hashCode in class java.lang.Object
  - random
```
public SolvableLocal<C> random(int n)
```
    SolvableLocal random.
    
    Specified by:
    
    random in interface ElemFactory<SolvableLocal<C extends GcdRingElem<C>>>
    
    Parameters:
    
    n - such that 0 ≤ v ≤ (2ⁿ-1).
    
    Returns:
    
    a random residue element.
  - random
```
public SolvableLocal<C> random(int k,
                               int l,
                               int d,
                               float q)
```
    Generate a random residum polynomial.
    
    Parameters:
    
    k - bitsize of random coefficients.
    
    l - number of terms.
    
    d - maximal degree in each variable.
    
    q - density of nozero exponents.
    
    Returns:
    
    a random residue polynomial.
  - random
```
public SolvableLocal<C> random(int n,
                               java.util.Random rnd)
```
    SolvableLocal random.
    
    Specified by:
    
    random in interface ElemFactory<SolvableLocal<C extends GcdRingElem<C>>>
    
    Parameters:
    
    n - such that 0 ≤ v ≤ (2ⁿ-1).
    
    rnd - is a source for random bits.
    
    Returns:
    
    a random residue element.
  - parse
```
public SolvableLocal<C> parse(java.lang.String s)
```
    Parse SolvableLocal from String.
    
    Specified by:
    
    parse in interface ElemFactory<SolvableLocal<C extends GcdRingElem<C>>>
    
    Parameters:
    
    s - String.
    
    Returns:
    
    SolvableLocal from s.
  - parse
```
public SolvableLocal<C> parse(java.io.Reader r)
```
    Parse SolvableLocal from Reader.
    
    Specified by:
    
    parse in interface ElemFactory<SolvableLocal<C extends GcdRingElem<C>>>
    
    Parameters:
    
    r - Reader.
    
    Returns:
    
    next SolvableLocal from r.

Class SolvableLocalRing<C extends GcdRingElem<C>>

Field Summary

Constructor Summary

Method Summary

Methods inherited from class java.lang.Object

Field Detail

ideal

ring

engine

bb

isField

Constructor Detail

SolvableLocalRing

Method Detail

pairFactory

create

create

isFinite

copy

getZERO

getONE

generators

isCommutative

isAssociative

isField

characteristic

fromInteger

fromInteger

toString

toScript

equals

hashCode

random

random

random

parse

parse