Package edu.jas.poly
Class QLRSolvablePolynomial<C extends GcdRingElem<C> & QuotPair<GenPolynomial<D>>,D extends GcdRingElem<D>>
java.lang.Object
edu.jas.poly.GenPolynomial<C>
edu.jas.poly.GenSolvablePolynomial<C>
edu.jas.poly.QLRSolvablePolynomial<C,D>
- Type Parameters:
C
- polynomial coefficient typeD
- quotient coefficient type
- All Implemented Interfaces:
AbelianGroupElem<GenPolynomial<C>>
,Element<GenPolynomial<C>>
,MonoidElem<GenPolynomial<C>>
,RingElem<GenPolynomial<C>>
,Serializable
,Comparable<GenPolynomial<C>>
,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:
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Field Summary
FieldsModifier and TypeFieldDescriptionprivate static final boolean
private static final org.apache.logging.log4j.Logger
final QLRSolvablePolynomialRing
<C, D> 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
ConstructorsModifierConstructorDescriptionConstructor for zero QLRSolvablePolynomial.Constructor for QLRSolvablePolynomial.QLRSolvablePolynomial
(QLRSolvablePolynomialRing<C, D> r, C c, ExpVector e) Constructor for QLRSolvablePolynomial.Constructor for QLRSolvablePolynomial.protected
Constructor for QLRSolvablePolynomial. -
Method Summary
Modifier and TypeMethodDescriptioncopy()
Clone this QLRSolvablePolynomial.boolean
Comparison with any other object.factory()
Get the corresponding element factory.int
hashCode()
Hash code for this polynomial.QLRSolvablePolynomial multiplication.QLRSolvablePolynomial left and right multiplication.QLRSolvablePolynomial multiplication.QLRSolvablePolynomial left and right multiplication.QLRSolvablePolynomial multiplication.QLRSolvablePolynomial left and right multiplication.multiply
(QLRSolvablePolynomial<C, D> Bp) QLRSolvablePolynomial multiplication.multiply
(QLRSolvablePolynomial<C, D> S, QLRSolvablePolynomial<C, D> T) QLRSolvablePolynomial left and right multiplication.QLRSolvablePolynomial multiplication.multiplyLeft
(C b) QLRSolvablePolynomial multiplication.multiplyLeft
(C b, ExpVector e) QLRSolvablePolynomial multiplication.QLRSolvablePolynomial multiplication.QLRSolvablePolynomial multiplication.protected QLRSolvablePolynomial
<C, D> 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
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
Methods inherited from class java.lang.Object
clone, finalize, getClass, notify, notifyAll, wait, wait, wait
Methods inherited from interface edu.jas.structure.MonoidElem
leftDivide, leftRemainder, power, rightDivide, rightRemainder, twosidedDivide, twosidedRemainder
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Field Details
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logger
private static final org.apache.logging.log4j.Logger logger -
debug
private static final boolean debug -
ring
public final QLRSolvablePolynomialRing<C extends GcdRingElem<C> & QuotPair<GenPolynomial<D>>,D extends GcdRingElem<D>> ringThe factory for the recursive solvable polynomial ring. Hides super.ring.
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Constructor Details
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QLRSolvablePolynomial
Constructor for zero QLRSolvablePolynomial.- Parameters:
r
- solvable polynomial ring factory.
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QLRSolvablePolynomial
Constructor for QLRSolvablePolynomial.- Parameters:
r
- solvable polynomial ring factory.c
- coefficient polynomial.e
- exponent.
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QLRSolvablePolynomial
Constructor for QLRSolvablePolynomial.- Parameters:
r
- solvable polynomial ring factory.c
- coefficient polynomial.
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QLRSolvablePolynomial
Constructor for QLRSolvablePolynomial.- Parameters:
r
- solvable polynomial ring factory.S
- solvable polynomial.
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QLRSolvablePolynomial
Constructor for QLRSolvablePolynomial.- Parameters:
r
- solvable polynomial ring factory.v
- the SortedMap of some other (solvable) polynomial.
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Method Details
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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:
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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:
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equals
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>>>
- Parameters:
B
-- Returns:
- true if this is equal to b, else false.
- See Also:
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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:
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multiply
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
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
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
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
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
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
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
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
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
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
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
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
QLRSolvablePolynomial multiplication with exponent vector.- Parameters:
f
- exponent vector.- Returns:
- B*f, where * is commutative multiplication.
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