Package edu.jas.poly
Class RecSolvableWordPolynomial<C extends RingElem<C>>
- Type Parameters:
C
- base coefficient type
- All Implemented Interfaces:
AbelianGroupElem<GenPolynomial<GenWordPolynomial<C>>>
,Element<GenPolynomial<GenWordPolynomial<C>>>
,MonoidElem<GenPolynomial<GenWordPolynomial<C>>>
,RingElem<GenPolynomial<GenWordPolynomial<C>>>
,Serializable
,Comparable<GenPolynomial<GenWordPolynomial<C>>>
,Iterable<Monomial<GenWordPolynomial<C>>>
public class RecSolvableWordPolynomial<C extends RingElem<C>>
extends GenSolvablePolynomial<GenWordPolynomial<C>>
RecSolvableWordPolynomial generic recursive solvable polynomials implementing
RingElem. n-variate ordered solvable polynomials over non-commutative word
polynomial 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 RecSolvableWordPolynomialRing
<C> 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 RecSolvableWordPolynomial.Constructor for RecSolvableWordPolynomial.RecSolvableWordPolynomial
(RecSolvableWordPolynomialRing<C> r, GenSolvablePolynomial<GenWordPolynomial<C>> S) Constructor for RecSolvableWordPolynomial.Constructor for RecSolvableWordPolynomial.Constructor for RecSolvableWordPolynomial.protected
RecSolvableWordPolynomial
(RecSolvableWordPolynomialRing<C> r, SortedMap<ExpVector, GenWordPolynomial<C>> v) Constructor for RecSolvableWordPolynomial. -
Method Summary
Modifier and TypeMethodDescriptioncopy()
Clone this RecSolvableWordPolynomial.boolean
Comparison with any other object.factory()
Get the corresponding element factory.int
hashCode()
Hash code for this polynomial.RecSolvableWordPolynomial multiplication.RecSolvableWordPolynomial left and right multiplication.multiply
(GenWordPolynomial<C> b, ExpVector e) RecSolvableWordPolynomial multiplication.multiply
(GenWordPolynomial<C> b, ExpVector e, GenWordPolynomial<C> c, ExpVector f) RecSolvableWordPolynomial left and right multiplication.multiply
(GenWordPolynomial<C> b, GenWordPolynomial<C> c) RecSolvableWordPolynomial left and right multiplication.RecSolvableWordPolynomial multiplication.RecSolvableWordPolynomial left and right multiplication.RecSolvableWordPolynomial multiplication.RecSolvableWordPolynomial multiplication.RecSolvableWordPolynomial multiplication.multiplyLeft
(GenWordPolynomial<C> b, ExpVector e) RecSolvableWordPolynomial multiplication.RecSolvableWordPolynomial multiplication.RecSolvableWordPolynomial multiplication.protected RecSolvableWordPolynomial
<C> RecSolvableWordPolynomial multiplication.Methods inherited from class edu.jas.poly.GenSolvablePolynomial
divide, evalAsRightRecursivePolynomial, isRightRecursivePolynomial, leftMonic, monic, multiply, 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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ring
The factory for the recursive solvable polynomial ring. Hides super.ring. -
logger
private static final org.apache.logging.log4j.Logger logger -
debug
private static final boolean debug
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Constructor Details
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RecSolvableWordPolynomial
Constructor for zero RecSolvableWordPolynomial.- Parameters:
r
- solvable polynomial ring factory.
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RecSolvableWordPolynomial
Constructor for RecSolvableWordPolynomial.- Parameters:
r
- solvable polynomial ring factory.e
- exponent.
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RecSolvableWordPolynomial
public RecSolvableWordPolynomial(RecSolvableWordPolynomialRing<C> r, GenWordPolynomial<C> c, ExpVector e) Constructor for RecSolvableWordPolynomial.- Parameters:
r
- solvable polynomial ring factory.c
- coefficient polynomial.e
- exponent.
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RecSolvableWordPolynomial
Constructor for RecSolvableWordPolynomial.- Parameters:
r
- solvable polynomial ring factory.c
- coefficient polynomial.
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RecSolvableWordPolynomial
public RecSolvableWordPolynomial(RecSolvableWordPolynomialRing<C> r, GenSolvablePolynomial<GenWordPolynomial<C>> S) Constructor for RecSolvableWordPolynomial.- Parameters:
r
- solvable polynomial ring factory.S
- solvable polynomial.
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RecSolvableWordPolynomial
protected RecSolvableWordPolynomial(RecSolvableWordPolynomialRing<C> r, SortedMap<ExpVector, GenWordPolynomial<C>> v) Constructor for RecSolvableWordPolynomial.- 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. -
copy
Clone this RecSolvableWordPolynomial. -
equals
Comparison with any other object. -
hashCode
public int hashCode()Hash code for this polynomial. -
multiply
RecSolvableWordPolynomial multiplication.- Parameters:
Bp
- RecSolvableWordPolynomial.- Returns:
- this*Bp, where * denotes solvable multiplication.
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multiply
public RecSolvableWordPolynomial<C> multiply(RecSolvableWordPolynomial<C> S, RecSolvableWordPolynomial<C> T) RecSolvableWordPolynomial left and right multiplication. Product with two polynomials.- Parameters:
S
- RecSolvableWordPolynomial.T
- RecSolvableWordPolynomial.- Returns:
- S*this*T.
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recMultiply
RecSolvableWordPolynomial multiplication. Product with coefficient ring element.- Parameters:
b
- coefficient polynomial.- Returns:
- this*b, where * is coefficient multiplication.
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multiply
RecSolvableWordPolynomial left and right multiplication. Product with coefficient ring element.- Overrides:
multiply
in classGenSolvablePolynomial<GenWordPolynomial<C extends RingElem<C>>>
- Parameters:
b
- coefficient polynomial.c
- coefficient polynomial.- Returns:
- b*this*c, where * is coefficient multiplication.
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multiply
RecSolvableWordPolynomial multiplication. Product with exponent vector.- Overrides:
multiply
in classGenSolvablePolynomial<GenWordPolynomial<C extends RingElem<C>>>
- Parameters:
e
- exponent.- Returns:
- this * xe, where * denotes solvable multiplication.
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multiply
RecSolvableWordPolynomial left and right multiplication. Product with exponent vector.- Overrides:
multiply
in classGenSolvablePolynomial<GenWordPolynomial<C extends RingElem<C>>>
- Parameters:
e
- exponent.f
- exponent.- Returns:
- xe * this * xf, where * denotes solvable multiplication.
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multiply
RecSolvableWordPolynomial multiplication. Product with ring element and exponent vector.- Overrides:
multiply
in classGenSolvablePolynomial<GenWordPolynomial<C extends RingElem<C>>>
- Parameters:
b
- coefficient polynomial.e
- exponent.- Returns:
- this * b xe, where * denotes solvable multiplication.
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multiply
public RecSolvableWordPolynomial<C> multiply(GenWordPolynomial<C> b, ExpVector e, GenWordPolynomial<C> c, ExpVector f) RecSolvableWordPolynomial left and right multiplication. Product with ring element and exponent vector.- Overrides:
multiply
in classGenSolvablePolynomial<GenWordPolynomial<C extends RingElem<C>>>
- 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
RecSolvableWordPolynomial multiplication. Left product with ring element and exponent vector.- Overrides:
multiplyLeft
in classGenSolvablePolynomial<GenWordPolynomial<C extends RingElem<C>>>
- Parameters:
b
- coefficient polynomial.e
- exponent.- Returns:
- b xe * this, where * denotes solvable multiplication.
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multiplyLeft
RecSolvableWordPolynomial multiplication. Left product with exponent vector.- Overrides:
multiplyLeft
in classGenSolvablePolynomial<GenWordPolynomial<C extends RingElem<C>>>
- Parameters:
e
- exponent.- Returns:
- xe * this, where * denotes solvable multiplication.
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multiplyLeft
RecSolvableWordPolynomial multiplication. Left product with coefficient ring element.- Overrides:
multiplyLeft
in classGenSolvablePolynomial<GenWordPolynomial<C extends RingElem<C>>>
- Parameters:
b
- coefficient polynomial.- Returns:
- b*this, where * is coefficient multiplication.
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multiplyLeft
RecSolvableWordPolynomial multiplication. Left product with 'monomial'.- Overrides:
multiplyLeft
in classGenSolvablePolynomial<GenWordPolynomial<C extends RingElem<C>>>
- Parameters:
m
- 'monomial'.- Returns:
- m * this, where * denotes solvable multiplication.
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multiply
RecSolvableWordPolynomial multiplication. Product with 'monomial'.- Overrides:
multiply
in classGenSolvablePolynomial<GenWordPolynomial<C extends RingElem<C>>>
- Parameters:
m
- 'monomial'.- Returns:
- this * m, where * denotes solvable multiplication.
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shift
RecSolvableWordPolynomial multiplication. Commutative product with exponent vector.- Parameters:
f
- exponent vector.- Returns:
- B*f, where * is commutative multiplication.
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