Package edu.jas.poly
Class QLRSolvablePolynomial<C extends GcdRingElem<C> & QuotPair<GenPolynomial<D>>,D extends GcdRingElem<D>>
- java.lang.Object
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- edu.jas.poly.GenPolynomial<C>
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- edu.jas.poly.GenSolvablePolynomial<C>
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- edu.jas.poly.QLRSolvablePolynomial<C,D>
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- Type Parameters:
C
- polynomial coefficient typeD
- quotient coefficient type
- All Implemented Interfaces:
AbelianGroupElem<GenPolynomial<C>>
,Element<GenPolynomial<C>>
,MonoidElem<GenPolynomial<C>>
,RingElem<GenPolynomial<C>>
,java.io.Serializable
,java.lang.Comparable<GenPolynomial<C>>
,java.lang.Iterable<Monomial<C>>
public class QLRSolvablePolynomial<C extends GcdRingElem<C> & QuotPair<GenPolynomial<D>>,D extends GcdRingElem<D>> extends GenSolvablePolynomial<C>
QLRSolvablePolynomial generic recursive solvable polynomials implementing RingElem. n-variate ordered solvable polynomials over solvable quotient, local and local-residue coefficients. Objects of this class are intended to be immutable. The implementation is based on TreeMap respectively SortedMap from exponents to coefficients by extension of GenPolynomial.- See Also:
- Serialized Form
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Field Summary
Fields Modifier and Type Field Description private static boolean
debug
private static org.apache.logging.log4j.Logger
logger
QLRSolvablePolynomialRing<C,D>
ring
The factory for the recursive solvable polynomial ring.-
Fields inherited from class edu.jas.poly.GenPolynomial
blen, hash, val
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Constructor Summary
Constructors Modifier Constructor Description QLRSolvablePolynomial(QLRSolvablePolynomialRing<C,D> r)
Constructor for zero QLRSolvablePolynomial.QLRSolvablePolynomial(QLRSolvablePolynomialRing<C,D> r, C c)
Constructor for QLRSolvablePolynomial.QLRSolvablePolynomial(QLRSolvablePolynomialRing<C,D> r, C c, ExpVector e)
Constructor for QLRSolvablePolynomial.QLRSolvablePolynomial(QLRSolvablePolynomialRing<C,D> r, GenSolvablePolynomial<C> S)
Constructor for QLRSolvablePolynomial.protected
QLRSolvablePolynomial(QLRSolvablePolynomialRing<C,D> r, java.util.SortedMap<ExpVector,C> v)
Constructor for QLRSolvablePolynomial.
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Method Summary
All Methods Instance Methods Concrete Methods Modifier and Type Method Description QLRSolvablePolynomial<C,D>
copy()
Clone this QLRSolvablePolynomial.boolean
equals(java.lang.Object B)
Comparison with any other object.QLRSolvablePolynomialRing<C,D>
factory()
Get the corresponding element factory.int
hashCode()
Hash code for this polynomial.QLRSolvablePolynomial<C,D>
multiply(C b)
QLRSolvablePolynomial multiplication.QLRSolvablePolynomial<C,D>
multiply(C b, C c)
QLRSolvablePolynomial left and right multiplication.QLRSolvablePolynomial<C,D>
multiply(C b, ExpVector e)
QLRSolvablePolynomial multiplication.QLRSolvablePolynomial<C,D>
multiply(C b, ExpVector e, C c, ExpVector f)
QLRSolvablePolynomial left and right multiplication.QLRSolvablePolynomial<C,D>
multiply(ExpVector e)
QLRSolvablePolynomial multiplication.QLRSolvablePolynomial<C,D>
multiply(ExpVector e, ExpVector f)
QLRSolvablePolynomial left and right multiplication.QLRSolvablePolynomial<C,D>
multiply(QLRSolvablePolynomial<C,D> Bp)
QLRSolvablePolynomial multiplication.QLRSolvablePolynomial<C,D>
multiply(QLRSolvablePolynomial<C,D> S, QLRSolvablePolynomial<C,D> T)
QLRSolvablePolynomial left and right multiplication.QLRSolvablePolynomial<C,D>
multiply(java.util.Map.Entry<ExpVector,C> m)
QLRSolvablePolynomial multiplication.QLRSolvablePolynomial<C,D>
multiplyLeft(C b)
QLRSolvablePolynomial multiplication.QLRSolvablePolynomial<C,D>
multiplyLeft(C b, ExpVector e)
QLRSolvablePolynomial multiplication.QLRSolvablePolynomial<C,D>
multiplyLeft(ExpVector e)
QLRSolvablePolynomial multiplication.QLRSolvablePolynomial<C,D>
multiplyLeft(java.util.Map.Entry<ExpVector,C> m)
QLRSolvablePolynomial multiplication.protected QLRSolvablePolynomial<C,D>
shift(ExpVector f)
QLRSolvablePolynomial multiplication with exponent vector.-
Methods inherited from class edu.jas.poly.GenSolvablePolynomial
divide, evalAsRightRecursivePolynomial, isRightRecursivePolynomial, leftMonic, monic, multiply, multiply, quotientRemainder, remainder, rightDivide, rightMonic, rightQuotientRemainder, rightRecursivePolynomial, rightRemainder, scaleSubtractMultiple, scaleSubtractMultiple, scaleSubtractMultiple, subtractMultiple, subtractMultiple
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Methods inherited from class edu.jas.poly.GenPolynomial
abs, bitLength, coefficient, coefficientIterator, coeffPrimitivePart, compareTo, contract, contractCoeff, degree, degree, degreeMin, degreeVector, deHomogenize, deltaExpVectors, deltaExpVectors, divide, divide, doAddTo, doAddTo, doAddTo, doPutToMap, doPutToMap, doRemoveFromMap, egcd, exponentIterator, extend, extendLower, extendUnivariate, gcd, getMap, hegcd, homogenize, inflate, inverse, isConstant, isHomogeneous, isONE, isUnit, isWeightHomogeneous, isZERO, iterator, leadingBaseCoefficient, leadingExpVector, leadingFacetPolynomial, leadingMonomial, leadingWeightPolynomial, leftDivideCoeff, length, map, mapOnStream, mapOnStream, mapWrong, maxNorm, modInverse, monicRight, multiply, negate, negateAlt, numberOfVariables, quotientRemainder, reductum, remainder, reverse, rightDivideCoeff, rightGcd, scaleSubtractMultiple, scaleSubtractMultiple, scaleSubtractMultiple, signum, spliterator, squareNorm, subtract, subtract, subtract, subtract, subtractMultiple, subtractMultiple, sum, sum, sum, sum, sumNorm, toScript, toScriptFactory, toString, toString, totalDegree, trailingBaseCoefficient, trailingExpVector, weightDegree
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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.MonoidElem
leftDivide, leftRemainder, power, rightDivide, rightRemainder, twosidedDivide, twosidedRemainder
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Field Detail
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logger
private static final org.apache.logging.log4j.Logger logger
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debug
private static final boolean debug
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ring
public final QLRSolvablePolynomialRing<C extends GcdRingElem<C> & QuotPair<GenPolynomial<D>>,D extends GcdRingElem<D>> ring
The factory for the recursive solvable polynomial ring. Hides super.ring.
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Constructor Detail
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QLRSolvablePolynomial
public QLRSolvablePolynomial(QLRSolvablePolynomialRing<C,D> r)
Constructor for zero QLRSolvablePolynomial.- Parameters:
r
- solvable polynomial ring factory.
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QLRSolvablePolynomial
public QLRSolvablePolynomial(QLRSolvablePolynomialRing<C,D> r, C c, ExpVector e)
Constructor for QLRSolvablePolynomial.- Parameters:
r
- solvable polynomial ring factory.c
- coefficient polynomial.e
- exponent.
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QLRSolvablePolynomial
public QLRSolvablePolynomial(QLRSolvablePolynomialRing<C,D> r, C c)
Constructor for QLRSolvablePolynomial.- Parameters:
r
- solvable polynomial ring factory.c
- coefficient polynomial.
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QLRSolvablePolynomial
public QLRSolvablePolynomial(QLRSolvablePolynomialRing<C,D> r, GenSolvablePolynomial<C> S)
Constructor for QLRSolvablePolynomial.- Parameters:
r
- solvable polynomial ring factory.S
- solvable polynomial.
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QLRSolvablePolynomial
protected QLRSolvablePolynomial(QLRSolvablePolynomialRing<C,D> r, java.util.SortedMap<ExpVector,C> v)
Constructor for QLRSolvablePolynomial.- Parameters:
r
- solvable polynomial ring factory.v
- the SortedMap of some other (solvable) polynomial.
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Method Detail
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factory
public QLRSolvablePolynomialRing<C,D> factory()
Get the corresponding element factory.- Specified by:
factory
in interfaceElement<C extends GcdRingElem<C> & QuotPair<GenPolynomial<D>>>
- Overrides:
factory
in classGenSolvablePolynomial<C extends GcdRingElem<C> & QuotPair<GenPolynomial<D>>>
- Returns:
- factory for this Element.
- See Also:
Element.factory()
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copy
public QLRSolvablePolynomial<C,D> copy()
Clone this QLRSolvablePolynomial.- Specified by:
copy
in interfaceElement<C extends GcdRingElem<C> & QuotPair<GenPolynomial<D>>>
- Overrides:
copy
in classGenSolvablePolynomial<C extends GcdRingElem<C> & QuotPair<GenPolynomial<D>>>
- Returns:
- copy of this.
- See Also:
Object.clone()
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equals
public boolean equals(java.lang.Object B)
Comparison with any other object.- Specified by:
equals
in interfaceElement<C extends GcdRingElem<C> & QuotPair<GenPolynomial<D>>>
- Overrides:
equals
in classGenSolvablePolynomial<C extends GcdRingElem<C> & QuotPair<GenPolynomial<D>>>
- Returns:
- true if this is equal to b, else false.
- See Also:
Object.equals(java.lang.Object)
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hashCode
public int hashCode()
Hash code for this polynomial.- Specified by:
hashCode
in interfaceElement<C extends GcdRingElem<C> & QuotPair<GenPolynomial<D>>>
- Overrides:
hashCode
in classGenSolvablePolynomial<C extends GcdRingElem<C> & QuotPair<GenPolynomial<D>>>
- Returns:
- the hashCode.
- See Also:
Object.hashCode()
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multiply
public QLRSolvablePolynomial<C,D> multiply(QLRSolvablePolynomial<C,D> Bp)
QLRSolvablePolynomial multiplication.- Parameters:
Bp
- QLRSolvablePolynomial.- Returns:
- this*Bp, where * denotes solvable multiplication.
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multiply
public QLRSolvablePolynomial<C,D> multiply(QLRSolvablePolynomial<C,D> S, QLRSolvablePolynomial<C,D> T)
QLRSolvablePolynomial left and right multiplication. Product with two polynomials.- Parameters:
S
- QLRSolvablePolynomial.T
- QLRSolvablePolynomial.- Returns:
- S*this*T.
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multiply
public QLRSolvablePolynomial<C,D> multiply(C b)
QLRSolvablePolynomial multiplication. Product with coefficient ring element.- Overrides:
multiply
in classGenSolvablePolynomial<C extends GcdRingElem<C> & QuotPair<GenPolynomial<D>>>
- Parameters:
b
- solvable coefficient.- Returns:
- this*b, where * is coefficient multiplication.
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multiply
public QLRSolvablePolynomial<C,D> multiply(C b, C c)
QLRSolvablePolynomial left and right multiplication. Product with coefficient ring element.- Overrides:
multiply
in classGenSolvablePolynomial<C extends GcdRingElem<C> & QuotPair<GenPolynomial<D>>>
- Parameters:
b
- coefficient polynomial.c
- coefficient polynomial.- Returns:
- b*this*c, where * is coefficient multiplication.
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multiply
public QLRSolvablePolynomial<C,D> multiply(ExpVector e)
QLRSolvablePolynomial multiplication. Product with exponent vector.- Overrides:
multiply
in classGenSolvablePolynomial<C extends GcdRingElem<C> & QuotPair<GenPolynomial<D>>>
- Parameters:
e
- exponent.- Returns:
- this * xe, where * denotes solvable multiplication.
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multiply
public QLRSolvablePolynomial<C,D> multiply(ExpVector e, ExpVector f)
QLRSolvablePolynomial left and right multiplication. Product with exponent vector.- Overrides:
multiply
in classGenSolvablePolynomial<C extends GcdRingElem<C> & QuotPair<GenPolynomial<D>>>
- Parameters:
e
- exponent.f
- exponent.- Returns:
- xe * this * xf, where * denotes solvable multiplication.
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multiply
public QLRSolvablePolynomial<C,D> multiply(C b, ExpVector e)
QLRSolvablePolynomial multiplication. Product with ring element and exponent vector.- Overrides:
multiply
in classGenSolvablePolynomial<C extends GcdRingElem<C> & QuotPair<GenPolynomial<D>>>
- Parameters:
b
- coefficient polynomial.e
- exponent.- Returns:
- this * b xe, where * denotes solvable multiplication.
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multiply
public QLRSolvablePolynomial<C,D> multiply(C b, ExpVector e, C c, ExpVector f)
QLRSolvablePolynomial left and right multiplication. Product with ring element and exponent vector.- Overrides:
multiply
in classGenSolvablePolynomial<C extends GcdRingElem<C> & QuotPair<GenPolynomial<D>>>
- Parameters:
b
- coefficient polynomial.e
- exponent.c
- coefficient polynomial.f
- exponent.- Returns:
- b xe * this * c xf, where * denotes solvable multiplication.
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multiplyLeft
public QLRSolvablePolynomial<C,D> multiplyLeft(C b, ExpVector e)
QLRSolvablePolynomial multiplication. Left product with ring element and exponent vector.- Overrides:
multiplyLeft
in classGenSolvablePolynomial<C extends GcdRingElem<C> & QuotPair<GenPolynomial<D>>>
- Parameters:
b
- coefficient polynomial.e
- exponent.- Returns:
- b xe * this, where * denotes solvable multiplication.
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multiplyLeft
public QLRSolvablePolynomial<C,D> multiplyLeft(ExpVector e)
QLRSolvablePolynomial multiplication. Left product with exponent vector.- Overrides:
multiplyLeft
in classGenSolvablePolynomial<C extends GcdRingElem<C> & QuotPair<GenPolynomial<D>>>
- Parameters:
e
- exponent.- Returns:
- xe * this, where * denotes solvable multiplication.
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multiplyLeft
public QLRSolvablePolynomial<C,D> multiplyLeft(C b)
QLRSolvablePolynomial multiplication. Left product with coefficient ring element.- Overrides:
multiplyLeft
in classGenSolvablePolynomial<C extends GcdRingElem<C> & QuotPair<GenPolynomial<D>>>
- Parameters:
b
- coefficient polynomial.- Returns:
- b*this, where * is coefficient multiplication.
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multiplyLeft
public QLRSolvablePolynomial<C,D> multiplyLeft(java.util.Map.Entry<ExpVector,C> m)
QLRSolvablePolynomial multiplication. Left product with 'monomial'.- Overrides:
multiplyLeft
in classGenSolvablePolynomial<C extends GcdRingElem<C> & QuotPair<GenPolynomial<D>>>
- Parameters:
m
- 'monomial'.- Returns:
- m * this, where * denotes solvable multiplication.
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multiply
public QLRSolvablePolynomial<C,D> multiply(java.util.Map.Entry<ExpVector,C> m)
QLRSolvablePolynomial multiplication. Product with 'monomial'.- Overrides:
multiply
in classGenSolvablePolynomial<C extends GcdRingElem<C> & QuotPair<GenPolynomial<D>>>
- Parameters:
m
- 'monomial'.- Returns:
- this * m, where * denotes solvable multiplication.
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shift
protected QLRSolvablePolynomial<C,D> shift(ExpVector f)
QLRSolvablePolynomial multiplication with exponent vector.- Parameters:
f
- exponent vector.- Returns:
- B*f, where * is commutative multiplication.
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