Package edu.jas.fd
Class QuotSolvablePolynomial<C extends GcdRingElem<C>>
- java.lang.Object
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- edu.jas.poly.GenPolynomial<C>
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- edu.jas.poly.GenSolvablePolynomial<SolvableQuotient<C>>
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- edu.jas.fd.QuotSolvablePolynomial<C>
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- Type Parameters:
C
- coefficient type
- All Implemented Interfaces:
AbelianGroupElem<GenPolynomial<SolvableQuotient<C>>>
,Element<GenPolynomial<SolvableQuotient<C>>>
,MonoidElem<GenPolynomial<SolvableQuotient<C>>>
,RingElem<GenPolynomial<SolvableQuotient<C>>>
,java.io.Serializable
,java.lang.Comparable<GenPolynomial<SolvableQuotient<C>>>
,java.lang.Iterable<Monomial<SolvableQuotient<C>>>
public class QuotSolvablePolynomial<C extends GcdRingElem<C>> extends GenSolvablePolynomial<SolvableQuotient<C>>
QuotSolvablePolynomial generic recursive solvable polynomials implementing RingElem. n-variate ordered solvable polynomials over solvable 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. Will be deprecated use QLRSolvablePolynomial.- Author:
- Heinz Kredel
- See Also:
- Serialized Form
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Field Summary
Fields Modifier and Type Field Description QuotSolvablePolynomialRing<C>
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 QuotSolvablePolynomial(QuotSolvablePolynomialRing<C> r)
Constructor for zero QuotSolvablePolynomial.QuotSolvablePolynomial(QuotSolvablePolynomialRing<C> r, SolvableQuotient<C> c)
Constructor for QuotSolvablePolynomial.QuotSolvablePolynomial(QuotSolvablePolynomialRing<C> r, SolvableQuotient<C> c, ExpVector e)
Constructor for QuotSolvablePolynomial.QuotSolvablePolynomial(QuotSolvablePolynomialRing<C> r, GenSolvablePolynomial<SolvableQuotient<C>> S)
Constructor for QuotSolvablePolynomial.protected
QuotSolvablePolynomial(QuotSolvablePolynomialRing<C> r, java.util.SortedMap<ExpVector,SolvableQuotient<C>> v)
Constructor for QuotSolvablePolynomial.
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Method Summary
All Methods Instance Methods Concrete Methods Modifier and Type Method Description QuotSolvablePolynomial<C>
copy()
Clone this QuotSolvablePolynomial.boolean
equals(java.lang.Object B)
Comparison with any other object.QuotSolvablePolynomialRing<C>
factory()
Get the corresponding element factory.int
hashCode()
Hash code for this polynomial.QuotSolvablePolynomial<C>
multiply(QuotSolvablePolynomial<C> Bp)
QuotSolvablePolynomial multiplication.QuotSolvablePolynomial<C>
multiply(QuotSolvablePolynomial<C> S, QuotSolvablePolynomial<C> T)
QuotSolvablePolynomial left and right multiplication.QuotSolvablePolynomial<C>
multiply(SolvableQuotient<C> b)
QuotSolvablePolynomial multiplication.QuotSolvablePolynomial<C>
multiply(SolvableQuotient<C> b, SolvableQuotient<C> c)
QuotSolvablePolynomial left and right multiplication.QuotSolvablePolynomial<C>
multiply(SolvableQuotient<C> b, ExpVector e)
QuotSolvablePolynomial multiplication.QuotSolvablePolynomial<C>
multiply(SolvableQuotient<C> b, ExpVector e, SolvableQuotient<C> c, ExpVector f)
QuotSolvablePolynomial left and right multiplication.QuotSolvablePolynomial<C>
multiply(ExpVector e)
QuotSolvablePolynomial multiplication.QuotSolvablePolynomial<C>
multiply(ExpVector e, ExpVector f)
QuotSolvablePolynomial left and right multiplication.QuotSolvablePolynomial<C>
multiply(java.util.Map.Entry<ExpVector,SolvableQuotient<C>> m)
QuotSolvablePolynomial multiplication.QuotSolvablePolynomial<C>
multiplyLeft(SolvableQuotient<C> b)
QuotSolvablePolynomial multiplication.QuotSolvablePolynomial<C>
multiplyLeft(SolvableQuotient<C> b, ExpVector e)
QuotSolvablePolynomial multiplication.QuotSolvablePolynomial<C>
multiplyLeft(ExpVector e)
QuotSolvablePolynomial multiplication.QuotSolvablePolynomial<C>
multiplyLeft(java.util.Map.Entry<ExpVector,SolvableQuotient<C>> m)
QuotSolvablePolynomial multiplication.protected QuotSolvablePolynomial<C>
shift(ExpVector f)
QuotSolvablePolynomial multiplication.-
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, 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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ring
public final QuotSolvablePolynomialRing<C extends GcdRingElem<C>> ring
The factory for the recursive solvable polynomial ring. Hides super.ring.
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Constructor Detail
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QuotSolvablePolynomial
public QuotSolvablePolynomial(QuotSolvablePolynomialRing<C> r)
Constructor for zero QuotSolvablePolynomial.- Parameters:
r
- solvable polynomial ring factory.
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QuotSolvablePolynomial
public QuotSolvablePolynomial(QuotSolvablePolynomialRing<C> r, SolvableQuotient<C> c, ExpVector e)
Constructor for QuotSolvablePolynomial.- Parameters:
r
- solvable polynomial ring factory.c
- coefficient polynomial.e
- exponent.
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QuotSolvablePolynomial
public QuotSolvablePolynomial(QuotSolvablePolynomialRing<C> r, SolvableQuotient<C> c)
Constructor for QuotSolvablePolynomial.- Parameters:
r
- solvable polynomial ring factory.c
- coefficient polynomial.
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QuotSolvablePolynomial
public QuotSolvablePolynomial(QuotSolvablePolynomialRing<C> r, GenSolvablePolynomial<SolvableQuotient<C>> S)
Constructor for QuotSolvablePolynomial.- Parameters:
r
- solvable polynomial ring factory.S
- solvable polynomial.
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QuotSolvablePolynomial
protected QuotSolvablePolynomial(QuotSolvablePolynomialRing<C> r, java.util.SortedMap<ExpVector,SolvableQuotient<C>> v)
Constructor for QuotSolvablePolynomial.- 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 QuotSolvablePolynomialRing<C> factory()
Get the corresponding element factory.- Specified by:
factory
in interfaceElement<C extends GcdRingElem<C>>
- Overrides:
factory
in classGenSolvablePolynomial<SolvableQuotient<C extends GcdRingElem<C>>>
- Returns:
- factory for this Element.
- See Also:
Element.factory()
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copy
public QuotSolvablePolynomial<C> copy()
Clone this QuotSolvablePolynomial.- Specified by:
copy
in interfaceElement<C extends GcdRingElem<C>>
- Overrides:
copy
in classGenSolvablePolynomial<SolvableQuotient<C extends GcdRingElem<C>>>
- 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>>
- Overrides:
equals
in classGenSolvablePolynomial<SolvableQuotient<C extends GcdRingElem<C>>>
- 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>>
- Overrides:
hashCode
in classGenSolvablePolynomial<SolvableQuotient<C extends GcdRingElem<C>>>
- Returns:
- the hashCode.
- See Also:
Object.hashCode()
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multiply
public QuotSolvablePolynomial<C> multiply(QuotSolvablePolynomial<C> Bp)
QuotSolvablePolynomial multiplication.- Parameters:
Bp
- QuotSolvablePolynomial.- Returns:
- this*Bp, where * denotes solvable multiplication.
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multiply
public QuotSolvablePolynomial<C> multiply(QuotSolvablePolynomial<C> S, QuotSolvablePolynomial<C> T)
QuotSolvablePolynomial left and right multiplication. Product with two polynomials.- Parameters:
S
- QuotSolvablePolynomial.T
- QuotSolvablePolynomial.- Returns:
- S*this*T.
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multiply
public QuotSolvablePolynomial<C> multiply(SolvableQuotient<C> b)
QuotSolvablePolynomial multiplication. Product with coefficient ring element.- Overrides:
multiply
in classGenSolvablePolynomial<SolvableQuotient<C extends GcdRingElem<C>>>
- Parameters:
b
- solvable coefficient.- Returns:
- this*b, where * is coefficient multiplication.
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multiply
public QuotSolvablePolynomial<C> multiply(SolvableQuotient<C> b, SolvableQuotient<C> c)
QuotSolvablePolynomial left and right multiplication. Product with coefficient ring element.- Overrides:
multiply
in classGenSolvablePolynomial<SolvableQuotient<C extends GcdRingElem<C>>>
- Parameters:
b
- coefficient polynomial.c
- coefficient polynomial.- Returns:
- b*this*c, where * is coefficient multiplication.
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multiply
public QuotSolvablePolynomial<C> multiply(ExpVector e)
QuotSolvablePolynomial multiplication. Product with exponent vector.- Overrides:
multiply
in classGenSolvablePolynomial<SolvableQuotient<C extends GcdRingElem<C>>>
- Parameters:
e
- exponent.- Returns:
- this * xe, where * denotes solvable multiplication.
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multiply
public QuotSolvablePolynomial<C> multiply(ExpVector e, ExpVector f)
QuotSolvablePolynomial left and right multiplication. Product with exponent vector.- Overrides:
multiply
in classGenSolvablePolynomial<SolvableQuotient<C extends GcdRingElem<C>>>
- Parameters:
e
- exponent.f
- exponent.- Returns:
- xe * this * xf, where * denotes solvable multiplication.
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multiply
public QuotSolvablePolynomial<C> multiply(SolvableQuotient<C> b, ExpVector e)
QuotSolvablePolynomial multiplication. Product with ring element and exponent vector.- Overrides:
multiply
in classGenSolvablePolynomial<SolvableQuotient<C extends GcdRingElem<C>>>
- Parameters:
b
- coefficient polynomial.e
- exponent.- Returns:
- this * b xe, where * denotes solvable multiplication.
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multiply
public QuotSolvablePolynomial<C> multiply(SolvableQuotient<C> b, ExpVector e, SolvableQuotient<C> c, ExpVector f)
QuotSolvablePolynomial left and right multiplication. Product with ring element and exponent vector.- Overrides:
multiply
in classGenSolvablePolynomial<SolvableQuotient<C extends GcdRingElem<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
public QuotSolvablePolynomial<C> multiplyLeft(SolvableQuotient<C> b, ExpVector e)
QuotSolvablePolynomial multiplication. Left product with ring element and exponent vector.- Overrides:
multiplyLeft
in classGenSolvablePolynomial<SolvableQuotient<C extends GcdRingElem<C>>>
- Parameters:
b
- coefficient polynomial.e
- exponent.- Returns:
- b xe * this, where * denotes solvable multiplication.
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multiplyLeft
public QuotSolvablePolynomial<C> multiplyLeft(ExpVector e)
QuotSolvablePolynomial multiplication. Left product with exponent vector.- Overrides:
multiplyLeft
in classGenSolvablePolynomial<SolvableQuotient<C extends GcdRingElem<C>>>
- Parameters:
e
- exponent.- Returns:
- xe * this, where * denotes solvable multiplication.
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multiplyLeft
public QuotSolvablePolynomial<C> multiplyLeft(SolvableQuotient<C> b)
QuotSolvablePolynomial multiplication. Left product with coefficient ring element.- Overrides:
multiplyLeft
in classGenSolvablePolynomial<SolvableQuotient<C extends GcdRingElem<C>>>
- Parameters:
b
- coefficient polynomial.- Returns:
- b*this, where * is coefficient multiplication.
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multiplyLeft
public QuotSolvablePolynomial<C> multiplyLeft(java.util.Map.Entry<ExpVector,SolvableQuotient<C>> m)
QuotSolvablePolynomial multiplication. Left product with 'monomial'.- Overrides:
multiplyLeft
in classGenSolvablePolynomial<SolvableQuotient<C extends GcdRingElem<C>>>
- Parameters:
m
- 'monomial'.- Returns:
- m * this, where * denotes solvable multiplication.
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multiply
public QuotSolvablePolynomial<C> multiply(java.util.Map.Entry<ExpVector,SolvableQuotient<C>> m)
QuotSolvablePolynomial multiplication. Product with 'monomial'.- Overrides:
multiply
in classGenSolvablePolynomial<SolvableQuotient<C extends GcdRingElem<C>>>
- Parameters:
m
- 'monomial'.- Returns:
- this * m, where * denotes solvable multiplication.
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shift
protected QuotSolvablePolynomial<C> shift(ExpVector f)
QuotSolvablePolynomial multiplication. Left product with coefficient ring element.- Parameters:
f
- exponent vector.- Returns:
- B*f, where * is commutative multiplication.
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