GenPolynomialRing

java.lang.Object
- edu.jas.poly.GenPolynomialRing<C>

Type Parameters:
C - coefficient type

All Implemented Interfaces:

AbelianGroupFactory<GenPolynomial<C>>, ElemFactory<GenPolynomial<C>>, MonoidFactory<GenPolynomial<C>>, RingFactory<GenPolynomial<C>>, java.io.Serializable, java.lang.Iterable<GenPolynomial<C>>

Direct Known Subclasses:

GenSolvablePolynomialRing
```
public class GenPolynomialRing<C extends RingElem<C>>
extends java.lang.Object
implements RingFactory<GenPolynomial<C>>, java.lang.Iterable<GenPolynomial<C>>
```
GenPolynomialRing generic polynomial factory implementing RingFactory; Factory for n-variate ordered polynomials over C. Almost immutable object, except variable names.

Author:

Heinz Kredel

See Also:
Serialized Form

Field Summary

Fields
Modifier and Type	Field and Description
`RingFactory<C>`	`coFac` The factory for the coefficients.
`ExpVector`	`evzero` The constant exponent vector 0 for this ring.
`protected int`	`isField` Indicator if this ring is a field.
`int`	`nvar` The number of variables.
`GenPolynomial<C>`	`ONE` The constant polynomial 1 for this ring.
`protected boolean`	`partial` True for partially reversed variables.
`protected static java.util.Random`	`random` A default random sequence generator.
`TermOrder`	`tord` The term order.
`protected java.lang.String[]`	`vars` The names of the variables.
`GenPolynomial<C>`	`ZERO` The constant polynomial 0 for this ring.

Constructor Summary

Constructors
Constructor and Description
`GenPolynomialRing(GenPolynomialRing<C> o, TermOrder to)` The constructor creates a polynomial factory object with the the same coefficient factory, number of variables and variable names as the given polynomial factory, only the term order differs.
`GenPolynomialRing(RingFactory<C> cf, GenPolynomialRing o)` The constructor creates a polynomial factory object with the the same term order, number of variables and variable names as the given polynomial factory, only the coefficient factories differ.
`GenPolynomialRing(RingFactory<C> cf, int n)` The constructor creates a polynomial factory object with the default term order.
`GenPolynomialRing(RingFactory<C> cf, int n, java.lang.String[] v)` The constructor creates a polynomial factory object.
`GenPolynomialRing(RingFactory<C> cf, int n, TermOrder t)` The constructor creates a polynomial factory object.
`GenPolynomialRing(RingFactory<C> cf, int n, TermOrder t, java.lang.String[] v)` The constructor creates a polynomial factory object.
`GenPolynomialRing(RingFactory<C> cf, java.lang.String[] v)` The constructor creates a polynomial factory object.
`GenPolynomialRing(RingFactory<C> cf, java.lang.String[] v, TermOrder t)` The constructor creates a polynomial factory object.
`GenPolynomialRing(RingFactory<C> cf, TermOrder t, java.lang.String[] v)` The constructor creates a polynomial factory object.

Method Summary

Methods
Modifier and Type	Method and Description
`static void`	`addVars(java.lang.String[] vars)` Add variable names.
`java.math.BigInteger`	`characteristic()` Characteristic of this ring.
`GenPolynomialRing<C>`	`contract(int i)` Contract variables.
`GenPolynomialRing<C>`	`copy()` Copy this factory.
`GenPolynomial<C>`	`copy(GenPolynomial<C> c)` Copy polynomial c.
`boolean`	`equals(java.lang.Object other)` Comparison with any other object.
`GenPolynomialRing<C>`	`extend(int i)` Extend variables.
`GenPolynomialRing<C>`	`extend(java.lang.String[] vn)` Extend variables.
`GenPolynomialRing<C>`	`extendLower(int i)` Extend lower variables.
`GenPolynomialRing<C>`	`extendLower(java.lang.String[] vn)` Extend lower variables.
`GenPolynomial<C>`	`fromInteger(java.math.BigInteger a)` Get a (constant) GenPolynomial<C> element from a BigInteger value.
`GenPolynomial<C>`	`fromInteger(long a)` Get a (constant) GenPolynomial<C> element from a long value.
`java.util.List<GenPolynomial<C>>`	`generators()` Get a list of the generating elements.
`PolynomialComparator<C>`	`getComparator()` Get PolynomialComparator.
`PolynomialComparator<C>`	`getComparator(boolean rev)` Get PolynomialComparator.
`java.util.List<GenPolynomial<C>>`	`getGenerators()` Get the generating elements excluding the generators for the coefficient ring.
`GenPolynomial<C>`	`getONE()` Get the one element.
`C`	`getONECoefficient()` Get the one element from the coefficients.
`java.lang.String[]`	`getVars()` Get the variable names.
`GenPolynomial<C>`	`getZERO()` Get the zero element.
`C`	`getZEROCoefficient()` Get the zero element from the coefficients.
`int`	`hashCode()` Hash code for this polynomial 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.
`java.util.Iterator<GenPolynomial<C>>`	`iterator()` Get a GenPolynomial iterator.
`java.lang.String[]`	`newVars()` New variable names.
`static java.lang.String[]`	`newVars(int n)` New variable names.
`java.lang.String[]`	`newVars(java.lang.String prefix)` New variable names.
`static java.lang.String[]`	`newVars(java.lang.String prefix, int n)` New variable names.
`GenPolynomial<C>`	`parse(java.io.Reader r)` Parse a polynomial with the use of GenPolynomialTokenizer.
`GenPolynomial<C>`	`parse(java.lang.String s)` Parse a polynomial with the use of GenPolynomialTokenizer.
`GenPolynomial<C>`	`random(int n)` Random polynomial.
`GenPolynomial<C>`	`random(int k, int l, int d, float q)` Generate a random polynomial.
`GenPolynomial<C>`	`random(int k, int l, int d, float q, java.util.Random rnd)` Generate a random polynomial.
`GenPolynomial<C>`	`random(int n, java.util.Random rnd)` Random polynomial.
`GenPolynomialRing<GenPolynomial<C>>`	`recursive(int i)` Recursive representation as polynomial with i main variables.
`GenPolynomialRing<C>`	`reverse()` Reverse variables.
`GenPolynomialRing<C>`	`reverse(boolean partial)` Reverse variables.
`java.lang.String[]`	`setVars(java.lang.String[] v)` Set the variable names.
`java.lang.String`	`toScript()` Get a scripting compatible string representation.
`java.lang.String`	`toString()` Get the String representation.
`GenPolynomial<C>`	`univariate(int i)` Generate univariate polynomial in a given variable.
`GenPolynomial<C>`	`univariate(int modv, int i, long e)` Generate univariate polynomial in a given variable with given exponent.
`GenPolynomial<C>`	`univariate(int i, long e)` Generate univariate polynomial in a given variable with given exponent.
`java.util.List<? extends GenPolynomial<C>>`	`univariateList()` Generate list of univariate polynomials in all variables.
`java.util.List<? extends GenPolynomial<C>>`	`univariateList(int modv)` Generate list of univariate polynomials in all variables.
`java.util.List<? extends GenPolynomial<C>>`	`univariateList(int modv, long e)` Generate list of univariate polynomials in all variables with given exponent.
`GenPolynomial<C>`	`valueOf(C a)` Get a (constant) GenPolynomial<C> element from a coefficient value.
`GenPolynomial<C>`	`valueOf(C a, ExpVector e)` Get a GenPolynomial<C> element from a coeffcient and an exponent vector.
`GenPolynomial<C>`	`valueOf(ExpVector e)` Get a GenPolynomial<C> element from an exponent vector.
`java.lang.String`	`varsToString()` Get a String representation of the variable names.

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
```
    The factory for the coefficients.
  - nvar
```
public final int nvar
```
    The number of variables.
  - tord
```
public final TermOrder tord
```
    The term order.
  - partial
```
protected boolean partial
```
    True for partially reversed variables.
  - vars
```
protected java.lang.String[] vars
```
    The names of the variables. This value can be modified.
  - ZERO
```
public final GenPolynomial<C extends RingElem<C>> ZERO
```
    The constant polynomial 0 for this ring.
  - ONE
```
public final GenPolynomial<C extends RingElem<C>> ONE
```
    The constant polynomial 1 for this ring.
  - evzero
```
public final ExpVector evzero
```
    The constant exponent vector 0 for this ring.
  - random
```
protected static final java.util.Random random
```
    A default random sequence generator.
  - isField
```
protected int isField
```
    Indicator if this ring is a field.
- Constructor Detail
  - GenPolynomialRing
```
public GenPolynomialRing(RingFactory<C> cf,
                 int n)
```
    The constructor creates a polynomial factory object with the default term order.
    
    Parameters:
    cf - factory for coefficients of type C.
    n - number of variables.
  - GenPolynomialRing
```
public GenPolynomialRing(RingFactory<C> cf,
                 int n,
                 TermOrder t)
```
    The constructor creates a polynomial factory object.
    
    Parameters:
    cf - factory for coefficients of type C.
    n - number of variables.
    t - a term order.
  - GenPolynomialRing
```
public GenPolynomialRing(RingFactory<C> cf,
                 java.lang.String[] v)
```
    The constructor creates a polynomial factory object.
    
    Parameters:
    cf - factory for coefficients of type C.
    v - names for the variables.
  - GenPolynomialRing
```
public GenPolynomialRing(RingFactory<C> cf,
                 int n,
                 java.lang.String[] v)
```
    The constructor creates a polynomial factory object.
    
    Parameters:
    cf - factory for coefficients of type C.
    n - number of variables.
    v - names for the variables.
  - GenPolynomialRing
```
public GenPolynomialRing(RingFactory<C> cf,
                 TermOrder t,
                 java.lang.String[] v)
```
    The constructor creates a polynomial factory object.
    
    Parameters:
    cf - factory for coefficients of type C.
    t - a term order.
    v - names for the variables.
  - GenPolynomialRing
```
public GenPolynomialRing(RingFactory<C> cf,
                 java.lang.String[] v,
                 TermOrder t)
```
    The constructor creates a polynomial factory object.
    
    Parameters:
    cf - factory for coefficients of type C.
    v - names for the variables.
    t - a term order.
  - GenPolynomialRing
```
public GenPolynomialRing(RingFactory<C> cf,
                 int n,
                 TermOrder t,
                 java.lang.String[] v)
```
    The constructor creates a polynomial factory object.
    
    Parameters:
    cf - factory for coefficients of type C.
    n - number of variables.
    t - a term order.
    v - names for the variables.
  - GenPolynomialRing
```
public GenPolynomialRing(RingFactory<C> cf,
                 GenPolynomialRing o)
```
    The constructor creates a polynomial factory object with the the same term order, number of variables and variable names as the given polynomial factory, only the coefficient factories differ.
    
    Parameters:
    cf - factory for coefficients of type C.
    o - other polynomial ring.
  - GenPolynomialRing
```
public GenPolynomialRing(GenPolynomialRing<C> o,
                 TermOrder to)
```
    The constructor creates a polynomial factory object with the the same coefficient factory, number of variables and variable names as the given polynomial factory, only the term order differs.
    
    Parameters:
    to - term order.
    o - other polynomial ring.
- Method Detail
  - copy
```
public GenPolynomialRing<C> copy()
```
    Copy this factory.
    
    Returns:
    a clone of this.
  - toString
```
public java.lang.String toString()
```
    Get the String representation.
    
    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<GenPolynomial<C extends RingElem<C>>>
    
    Returns:
    script compatible representation for this Element.
    See Also:
    Element.toScript()
  - 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 polynomial ring.
    
    Overrides:
    
    hashCode in class java.lang.Object
    
    See Also:
    Object.hashCode()
  - getVars
```
public java.lang.String[] getVars()
```
    Get the variable names.
    
    Returns:
    vars.
  - setVars
```
public java.lang.String[] setVars(java.lang.String[] v)
```
    Set the variable names.
    
    Returns:
    old vars.
  - varsToString
```
public java.lang.String varsToString()
```
    Get a String representation of the variable names.
    
    Returns:
    names seperated by commas.
  - getZEROCoefficient
```
public C getZEROCoefficient()
```
    Get the zero element from the coefficients.
    
    Returns:
    0 as C.
  - getONECoefficient
```
public C getONECoefficient()
```
    Get the one element from the coefficients.
    
    Returns:
    1 as C.
  - getZERO
```
public GenPolynomial<C> getZERO()
```
    Get the zero element.
    
    Specified by:
    
    getZERO in interface AbelianGroupFactory<GenPolynomial<C extends RingElem<C>>>
    
    Returns:
    0 as GenPolynomial.
  - getONE
```
public GenPolynomial<C> getONE()
```
    Get the one element.
    
    Specified by:
    
    getONE in interface MonoidFactory<GenPolynomial<C extends RingElem<C>>>
    
    Returns:
    1 as GenPolynomial.
  - isCommutative
```
public boolean isCommutative()
```
    Query if this ring is commutative.
    
    Specified by:
    
    isCommutative in interface MonoidFactory<GenPolynomial<C extends RingElem<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<GenPolynomial<C extends RingElem<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<GenPolynomial<C extends RingElem<C>>>
    
    Returns:
    false.
  - characteristic
```
public java.math.BigInteger characteristic()
```
    Characteristic of this ring.
    
    Specified by:
    
    characteristic in interface RingFactory<GenPolynomial<C extends RingElem<C>>>
    
    Returns:
    characteristic of this ring.
  - valueOf
```
public GenPolynomial<C> valueOf(C a)
```
    Get a (constant) GenPolynomial<C> element from a coefficient value.
    
    Parameters:
    a - coefficient.
    
    Returns:
    a GenPolynomial<C>.
  - valueOf
```
public GenPolynomial<C> valueOf(ExpVector e)
```
    Get a GenPolynomial<C> element from an exponent vector.
    
    Parameters:
    e - exponent vector.
    
    Returns:
    a GenPolynomial<C>.
  - valueOf
```
public GenPolynomial<C> valueOf(C a,
                       ExpVector e)
```
    Get a GenPolynomial<C> element from a coeffcient and an exponent vector.
    
    Parameters:
    a - coefficient.
    e - exponent vector.
    
    Returns:
    a GenPolynomial<C>.
  - fromInteger
```
public GenPolynomial<C> fromInteger(long a)
```
    Get a (constant) GenPolynomial<C> element from a long value.
    
    Specified by:
    
    fromInteger in interface ElemFactory<GenPolynomial<C extends RingElem<C>>>
    
    Parameters:
    a - long.
    
    Returns:
    a GenPolynomial<C>.
  - fromInteger
```
public GenPolynomial<C> fromInteger(java.math.BigInteger a)
```
    Get a (constant) GenPolynomial<C> element from a BigInteger value.
    
    Specified by:
    
    fromInteger in interface ElemFactory<GenPolynomial<C extends RingElem<C>>>
    
    Parameters:
    a - BigInteger.
    
    Returns:
    a GenPolynomial<C>.
  - random
```
public GenPolynomial<C> random(int n)
```
    Random polynomial. Generates a random polynomial with k = 5, l = n, d = (nvar == 1) ? n : 3, q = (nvar == 1) ? 0.7 : 0.3.
    
    Specified by:
    
    random in interface ElemFactory<GenPolynomial<C extends RingElem<C>>>
    
    Parameters:
    n - number of terms.
    
    Returns:
    a random polynomial.
  - random
```
public GenPolynomial<C> random(int n,
                      java.util.Random rnd)
```
    Random polynomial. Generates a random polynomial with k = 5, l = n, d = (nvar == 1) ? n : 3, q = (nvar == 1) ? 0.7 : 0.3.
    
    Specified by:
    
    random in interface ElemFactory<GenPolynomial<C extends RingElem<C>>>
    
    Parameters:
    n - number of terms.
    rnd - is a source for random bits.
    
    Returns:
    a random polynomial.
  - random
```
public GenPolynomial<C> random(int k,
                      int l,
                      int d,
                      float q)
```
    Generate a random 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 polynomial.
  - random
```
public GenPolynomial<C> random(int k,
                      int l,
                      int d,
                      float q,
                      java.util.Random rnd)
```
    Generate a random polynomial.
    
    Parameters:
    k - bitsize of random coefficients.
    l - number of terms.
    d - maximal degree in each variable.
    q - density of nozero exponents.
    rnd - is a source for random bits.
    
    Returns:
    a random polynomial.
  - copy
```
public GenPolynomial<C> copy(GenPolynomial<C> c)
```
    Copy polynomial c.
    
    Specified by:
    
    copy in interface ElemFactory<GenPolynomial<C extends RingElem<C>>>
    
    Parameters:
    c -
    
    Returns:
    a copy of c.
  - parse
```
public GenPolynomial<C> parse(java.lang.String s)
```
    Parse a polynomial with the use of GenPolynomialTokenizer.
    
    Specified by:
    
    parse in interface ElemFactory<GenPolynomial<C extends RingElem<C>>>
    
    Parameters:
    s - String.
    
    Returns:
    GenPolynomial from s.
  - parse
```
public GenPolynomial<C> parse(java.io.Reader r)
```
    Parse a polynomial with the use of GenPolynomialTokenizer.
    
    Specified by:
    
    parse in interface ElemFactory<GenPolynomial<C extends RingElem<C>>>
    
    Parameters:
    r - Reader.
    
    Returns:
    next GenPolynomial from r.
  - univariate
```
public GenPolynomial<C> univariate(int i)
```
    Generate univariate polynomial in a given variable.
    
    Parameters:
    i - the index of the variable.
    
    Returns:
    X_i as univariate polynomial.
  - univariate
```
public GenPolynomial<C> univariate(int i,
                          long e)
```
    Generate univariate polynomial in a given variable with given exponent.
    
    Parameters:
    i - the index of the variable.
    e - the exponent of the variable.
    
    Returns:
    X_i^e as univariate polynomial.
  - univariate
```
public GenPolynomial<C> univariate(int modv,
                          int i,
                          long e)
```
    Generate univariate polynomial in a given variable with given exponent.
    
    Parameters:
    modv - number of module variables.
    i - the index of the variable.
    e - the exponent of the variable.
    
    Returns:
    X_i^e as univariate polynomial.
  - getGenerators
```
public java.util.List<GenPolynomial<C>> getGenerators()
```
    Get the generating elements excluding the generators for the coefficient ring.
    
    Returns:
    a list of generating elements for this ring.
  - generators
```
public java.util.List<GenPolynomial<C>> generators()
```
    Get a list of the generating elements.
    
    Specified by:
    
    generators in interface ElemFactory<GenPolynomial<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<GenPolynomial<C extends RingElem<C>>>
    
    Returns:
    true if this structure is finite, else false.
    See Also:
    ElemFactory.isFinite()
  - univariateList
```
public java.util.List<? extends GenPolynomial<C>> univariateList()
```
    Generate list of univariate polynomials in all variables.
    
    Returns:
    List(X_1,...,X_n) a list of univariate polynomials.
  - univariateList
```
public java.util.List<? extends GenPolynomial<C>> univariateList(int modv)
```
    Generate list of univariate polynomials in all variables.
    
    Parameters:
    modv - number of module variables.
    
    Returns:
    List(X_1,...,X_n) a list of univariate polynomials.
  - univariateList
```
public java.util.List<? extends GenPolynomial<C>> univariateList(int modv,
                                                        long e)
```
    Generate list of univariate polynomials in all variables with given exponent.
    
    Parameters:
    modv - number of module variables.
    e - the exponent of the variables.
    
    Returns:
    List(X_1^e,...,X_n^e) a list of univariate polynomials.
  - extend
```
public GenPolynomialRing<C> extend(int i)
```
    Extend variables. Used e.g. in module embedding. Extend number of variables by i.
    
    Parameters:
    i - number of variables to extend.
    
    Returns:
    extended polynomial ring factory.
  - extend
```
public GenPolynomialRing<C> extend(java.lang.String[] vn)
```
    Extend variables. Used e.g. in module embedding. Extend number of variables by length(vn).
    
    Parameters:
    vn - names for extended variables.
    
    Returns:
    extended polynomial ring factory.
  - extendLower
```
public GenPolynomialRing<C> extendLower(int i)
```
    Extend lower variables. Extend number of variables by i.
    
    Parameters:
    i - number of variables to extend.
    
    Returns:
    extended polynomial ring factory.
  - extendLower
```
public GenPolynomialRing<C> extendLower(java.lang.String[] vn)
```
    Extend lower variables. Extend number of variables by length(vn).
    
    Parameters:
    vn - names for extended lower variables.
    
    Returns:
    extended polynomial ring factory.
  - contract
```
public GenPolynomialRing<C> contract(int i)
```
    Contract variables. Used e.g. in module embedding. Contract number of variables by i.
    
    Parameters:
    i - number of variables to remove.
    
    Returns:
    contracted polynomial ring factory.
  - recursive
```
public GenPolynomialRing<GenPolynomial<C>> recursive(int i)
```
    Recursive representation as polynomial with i main variables.
    
    Parameters:
    i - number of main variables.
    
    Returns:
    recursive polynomial ring factory.
  - reverse
```
public GenPolynomialRing<C> reverse()
```
    Reverse variables. Used e.g. in opposite rings.
    
    Returns:
    polynomial ring factory with reversed variables.
  - reverse
```
public GenPolynomialRing<C> reverse(boolean partial)
```
    Reverse variables. Used e.g. in opposite rings.
    
    Parameters:
    partial - true for partialy reversed term orders.
    
    Returns:
    polynomial ring factory with reversed variables.
  - getComparator
```
public PolynomialComparator<C> getComparator()
```
    Get PolynomialComparator.
    
    Returns:
    polynomial comparator.
  - getComparator
```
public PolynomialComparator<C> getComparator(boolean rev)
```
    Get PolynomialComparator.
    
    Parameters:
    rev - for reverse comparator.
    
    Returns:
    polynomial comparator.
  - newVars
```
public static java.lang.String[] newVars(java.lang.String prefix,
                         int n)
```
    New variable names. Generate new names for variables,
    
    Parameters:
    prefix - name prefix.
    n - number of variables.
    
    Returns:
    new variable names.
  - newVars
```
public java.lang.String[] newVars(java.lang.String prefix)
```
    New variable names. Generate new names for variables,
    
    Parameters:
    prefix - name prefix.
    
    Returns:
    new variable names.
  - newVars
```
public static java.lang.String[] newVars(int n)
```
    New variable names. Generate new names for variables,
    
    Parameters:
    n - number of variables.
    
    Returns:
    new variable names.
  - newVars
```
public java.lang.String[] newVars()
```
    New variable names. Generate new names for variables,
    
    Returns:
    new variable names.
  - addVars
```
public static void addVars(java.lang.String[] vars)
```
    Add variable names.
    
    Parameters:
    vars - variable names to be recorded.
  - iterator
```
public java.util.Iterator<GenPolynomial<C>> iterator()
```
    Get a GenPolynomial iterator.
    
    Specified by:
    
    iterator in interface java.lang.Iterable<GenPolynomial<C extends RingElem<C>>>
    
    Returns:
    an iterator over all polynomials.

Class GenPolynomialRing<C extends RingElem<C>>

Field Summary

Constructor Summary

Method Summary

Methods inherited from class java.lang.Object

Field Detail

coFac

nvar

tord

partial

vars

ZERO

ONE

evzero

random

isField

Constructor Detail

GenPolynomialRing

GenPolynomialRing

GenPolynomialRing

GenPolynomialRing

GenPolynomialRing

GenPolynomialRing

GenPolynomialRing

GenPolynomialRing

GenPolynomialRing

Method Detail

copy

toString

toScript

equals

hashCode

getVars

setVars

varsToString

getZEROCoefficient

getONECoefficient

getZERO

getONE

isCommutative

isAssociative

isField

characteristic

valueOf

valueOf

valueOf

fromInteger

fromInteger

random

random

random

random

copy

parse

parse

univariate

univariate

univariate

getGenerators

generators

isFinite

univariateList

univariateList

univariateList

extend

extend

extendLower

extendLower

contract

recursive

reverse

reverse

getComparator

getComparator

newVars

newVars

newVars

newVars

addVars

iterator