Package edu.jas.poly
Class ResidueRing<C extends RingElem<C>>
java.lang.Object
edu.jas.poly.ResidueRing<C>
- All Implemented Interfaces:
AbelianGroupFactory<Residue<C>>
,ElemFactory<Residue<C>>
,MonoidFactory<Residue<C>>
,RingFactory<Residue<C>>
,Serializable
Residue ring factory based on RingElem and RingFactory module. Objects of
this class are immutable.
- See Also:
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Field Summary
Fields -
Constructor Summary
ConstructorsConstructorDescriptionResidueRing
(RingFactory<C> r, C m) The constructor creates a ResidueRing object from an ring factory and a modul. -
Method Summary
Modifier and TypeMethodDescriptionCharacteristic of this ring.Copy Residue element c.boolean
Comparison with any other object.fromInteger
(long a) Get a Residue element from a long value.Get a Residue element from a BigInteger value.Get a list of the generating elements.getONE()
Get the one element.getZERO()
Get the zero element.int
hashCode()
Hash code for this residue ring.boolean
Query if this ring is associative.boolean
Query if this ring is commutative.boolean
isField()
Query if this ring is a field.boolean
isFinite()
Is this structure finite or infinite.Parse Residue from Reader.Parse Residue from String.random
(int n) Residue random.Residue random.toScript()
Get a scripting compatible string representation.toString()
Get the String representation as RingFactory.Methods inherited from class java.lang.Object
clone, finalize, getClass, notify, notifyAll, wait, wait, wait
Methods inherited from interface edu.jas.structure.ElemFactory
valueOf
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Field Details
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logger
private static final org.apache.logging.log4j.Logger logger -
modul
Ring element for reduction. -
ring
Ring factory. -
isField
protected int isFieldIndicator if this ring is a field.
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Constructor Details
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ResidueRing
The constructor creates a ResidueRing object from an ring factory and a modul.- Parameters:
r
- ring factory.m
- modul.
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Method Details
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isFinite
public boolean isFinite()Is this structure finite or infinite.- Specified by:
isFinite
in interfaceElemFactory<C extends RingElem<C>>
- Returns:
- true if this structure is finite, else false.
- See Also:
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copy
Copy Residue element c.- Specified by:
copy
in interfaceElemFactory<C extends RingElem<C>>
- Parameters:
c
-- Returns:
- a copy of c.
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getZERO
Get the zero element.- Specified by:
getZERO
in interfaceAbelianGroupFactory<C extends RingElem<C>>
- Returns:
- 0 as Residue.
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getONE
Get the one element.- Specified by:
getONE
in interfaceMonoidFactory<C extends RingElem<C>>
- Returns:
- 1 as Residue.
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generators
Get a list of the generating elements.- Specified by:
generators
in interfaceElemFactory<C extends RingElem<C>>
- Returns:
- list of generators for the algebraic structure.
- See Also:
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isCommutative
public boolean isCommutative()Query if this ring is commutative.- Specified by:
isCommutative
in interfaceMonoidFactory<C extends RingElem<C>>
- Returns:
- true if this ring is commutative, else false.
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isAssociative
public boolean isAssociative()Query if this ring is associative.- Specified by:
isAssociative
in interfaceMonoidFactory<C extends RingElem<C>>
- Returns:
- true if this ring is associative, else false.
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isField
public boolean isField()Query if this ring is a field.- Specified by:
isField
in interfaceRingFactory<C extends RingElem<C>>
- Returns:
- false.
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characteristic
Characteristic of this ring.- Specified by:
characteristic
in interfaceRingFactory<C extends RingElem<C>>
- Returns:
- characteristic of this ring.
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fromInteger
Get a Residue element from a BigInteger value.- Specified by:
fromInteger
in interfaceElemFactory<C extends RingElem<C>>
- Parameters:
a
- BigInteger.- Returns:
- a Residue.
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fromInteger
Get a Residue element from a long value.- Specified by:
fromInteger
in interfaceElemFactory<C extends RingElem<C>>
- Parameters:
a
- long.- Returns:
- a Residue.
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toString
Get the String representation as RingFactory. -
toScript
Get a scripting compatible string representation.- Specified by:
toScript
in interfaceElemFactory<C extends RingElem<C>>
- Returns:
- script compatible representation for this ElemFactory.
- See Also:
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equals
Comparison with any other object. -
hashCode
public int hashCode()Hash code for this residue ring. -
random
Residue random.- Specified by:
random
in interfaceElemFactory<C extends RingElem<C>>
- Parameters:
n
- such that 0 ≤ v ≤ (2n-1).- Returns:
- a random residue element.
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random
Residue random.- Specified by:
random
in interfaceElemFactory<C extends RingElem<C>>
- Parameters:
n
- such that 0 ≤ v ≤ (2n-1).rnd
- is a source for random bits.- Returns:
- a random residue element.
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parse
Parse Residue from String.- Specified by:
parse
in interfaceElemFactory<C extends RingElem<C>>
- Parameters:
s
- String.- Returns:
- Residue from s.
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parse
Parse Residue from Reader.- Specified by:
parse
in interfaceElemFactory<C extends RingElem<C>>
- Parameters:
r
- Reader.- Returns:
- next Residue from r.
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