Package edu.jas.poly
Class ComplexRing<C extends RingElem<C>>
- java.lang.Object
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- edu.jas.poly.ComplexRing<C>
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- Type Parameters:
C
- base type.
- All Implemented Interfaces:
AbelianGroupFactory<Complex<C>>
,ElemFactory<Complex<C>>
,MonoidFactory<Complex<C>>
,RingFactory<Complex<C>>
,java.io.Serializable
public class ComplexRing<C extends RingElem<C>> extends java.lang.Object implements RingFactory<Complex<C>>
Generic Complex ring factory implementing the RingFactory interface. Objects of this class are immutable.- Author:
- Heinz Kredel
- See Also:
- Serialized Form
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Field Summary
Fields Modifier and Type Field Description RingFactory<C>
ring
Complex class elements factory data structure.
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Constructor Summary
Constructors Constructor Description ComplexRing(RingFactory<C> ring)
The constructor creates a ComplexRing object.
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Method Summary
All Methods Instance Methods Concrete Methods Modifier and Type Method Description AlgebraicNumberRing<C>
algebraicRing()
Corresponding algebraic number ring.java.math.BigInteger
characteristic()
Characteristic of this ring.Complex<C>
copy(Complex<C> c)
Copy Complex element c.boolean
equals(java.lang.Object b)
Comparison with any other object.Complex<C>
fromInteger(long a)
Get a Complex element from a long.Complex<C>
fromInteger(java.math.BigInteger a)
Get a Complex element from a BigInteger.java.util.List<Complex<C>>
generators()
Get a list of the generating elements.Complex<C>
getIMAG()
Get the i element.Complex<C>
getONE()
Get the one element.Complex<C>
getZERO()
Get the zero element.int
hashCode()
Hash code for this ComplexRing<C>.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.Complex<C>
parse(java.io.Reader r)
Parse complex number from Reader.Complex<C>
parse(java.lang.String s)
Parse complex number from string.Complex<C>
random(int n)
Complex number random.Complex<C>
random(int n, java.util.Random rnd)
Complex number random.java.lang.String
toScript()
Get a scripting compatible string representation.java.lang.String
toString()
Get the String representation.-
Methods inherited from class java.lang.Object
clone, finalize, getClass, notify, notifyAll, wait, wait, wait
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Methods inherited from interface edu.jas.structure.ElemFactory
valueOf
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Field Detail
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ring
public final RingFactory<C extends RingElem<C>> ring
Complex class elements factory data structure.
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Constructor Detail
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ComplexRing
public ComplexRing(RingFactory<C> ring)
The constructor creates a ComplexRing object.- Parameters:
ring
- factory for Complex real and imaginary parts.
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Method Detail
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generators
public java.util.List<Complex<C>> 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:
ElemFactory.generators()
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algebraicRing
public AlgebraicNumberRing<C> algebraicRing()
Corresponding algebraic number ring.- Returns:
- algebraic number ring. not jet possible.
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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:
ElemFactory.isFinite()
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copy
public Complex<C> copy(Complex<C> c)
Copy Complex element c.- Specified by:
copy
in interfaceElemFactory<C extends RingElem<C>>
- Parameters:
c
- Complex<C>.- Returns:
- a copy of c.
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getZERO
public Complex<C> getZERO()
Get the zero element.- Specified by:
getZERO
in interfaceAbelianGroupFactory<C extends RingElem<C>>
- Returns:
- 0 as Complex<C>.
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getONE
public Complex<C> getONE()
Get the one element.- Specified by:
getONE
in interfaceMonoidFactory<C extends RingElem<C>>
- Returns:
- 1 as Complex<C>.
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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.
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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.
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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:
- true.
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characteristic
public java.math.BigInteger characteristic()
Characteristic of this ring.- Specified by:
characteristic
in interfaceRingFactory<C extends RingElem<C>>
- Returns:
- characteristic of this ring.
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fromInteger
public Complex<C> fromInteger(java.math.BigInteger a)
Get a Complex element from a BigInteger.- Specified by:
fromInteger
in interfaceElemFactory<C extends RingElem<C>>
- Parameters:
a
- BigInteger.- Returns:
- a Complex<C>.
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fromInteger
public Complex<C> fromInteger(long a)
Get a Complex element from a long.- Specified by:
fromInteger
in interfaceElemFactory<C extends RingElem<C>>
- Parameters:
a
- long.- Returns:
- a Complex<C>.
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toString
public java.lang.String toString()
Get the String representation.- Overrides:
toString
in classjava.lang.Object
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toScript
public java.lang.String toScript()
Get a scripting compatible string representation.- Specified by:
toScript
in interfaceElemFactory<C extends RingElem<C>>
- Returns:
- script compatible representation for this Element.
- See Also:
Element.toScript()
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equals
public boolean equals(java.lang.Object b)
Comparison with any other object.- Overrides:
equals
in classjava.lang.Object
- See Also:
Object.equals(java.lang.Object)
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hashCode
public int hashCode()
Hash code for this ComplexRing<C>.- Overrides:
hashCode
in classjava.lang.Object
- See Also:
Object.hashCode()
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random
public Complex<C> random(int n)
Complex number random. Random base numbers A and B are generated using random(n). Then R is the complex number with real part A and imaginary part B.- Specified by:
random
in interfaceElemFactory<C extends RingElem<C>>
- Parameters:
n
- such that 0 ≤ A, B ≤ (2n-1).- Returns:
- R.
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random
public Complex<C> random(int n, java.util.Random rnd)
Complex number random. Random base numbers A and B are generated using random(n). Then R is the complex number with real part A and imaginary part B.- Specified by:
random
in interfaceElemFactory<C extends RingElem<C>>
- Parameters:
n
- such that 0 ≤ A, B ≤ (2n-1).rnd
- is a source for random bits.- Returns:
- R.
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parse
public Complex<C> parse(java.lang.String s)
Parse complex number from string.- Specified by:
parse
in interfaceElemFactory<C extends RingElem<C>>
- Parameters:
s
- String.- Returns:
- Complex
from s.
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