Package edu.jas.integrate
Class LogIntegral<C extends GcdRingElem<C>>
java.lang.Object
edu.jas.integrate.LogIntegral<C>
- Type Parameters:
C
- coefficient type
- All Implemented Interfaces:
Serializable
Container for the logarithmic part of a rational function integral. num/den =
sum( a_i ( der(d_i) / d_i ) ) integrate(num/den) = sum( a_i log ( d_i ) )
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Field Summary
FieldsModifier and TypeFieldDescriptionfinal List
<GenPolynomial<AlgebraicNumber<C>>> List of factors of the denominator with coefficients from an AlgebraicNumberRing<C>.final List
<AlgebraicNumber<C>> List of algebraic numbers of an algebraic field extension over C.final List
<GenPolynomial<C>> List of linear factors of the denominator with coefficients from C.List of numbers from C.final GenPolynomial
<C> Original (irreducible) denominator polynomial with coefficients from C.final GenPolynomial
<C> Original numerator polynomial with coefficients from C and deg(num) < deg(den). -
Constructor Summary
ConstructorsConstructorDescriptionLogIntegral
(GenPolynomial<C> n, GenPolynomial<C> d, List<C> cf, List<GenPolynomial<C>> cd, List<AlgebraicNumber<C>> af, List<GenPolynomial<AlgebraicNumber<C>>> ad) Constructor. -
Method Summary
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Field Details
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num
Original numerator polynomial with coefficients from C and deg(num) < deg(den). -
den
Original (irreducible) denominator polynomial with coefficients from C. -
cfactors
List of numbers from C. -
cdenom
List of linear factors of the denominator with coefficients from C. -
afactors
List of algebraic numbers of an algebraic field extension over C. -
adenom
List of factors of the denominator with coefficients from an AlgebraicNumberRing<C>.
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Constructor Details
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LogIntegral
public LogIntegral(GenPolynomial<C> n, GenPolynomial<C> d, List<C> cf, List<GenPolynomial<C>> cd, List<AlgebraicNumber<C>> af, List<GenPolynomial<AlgebraicNumber<C>>> ad) Constructor.- Parameters:
n
- numerator GenPolynomial over C.d
- irreducible denominator GenPolynomial over C.cf
- list of elements a_i.cd
- list of linear factors d_i of d.af
- list of algebraic elements a_i.ad
- list of irreducible factors d_i of d with algebraic coefficients. n/d = sum( a_i ( der(d_i) / d_i ) )
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Method Details
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toString
Get the String representation. -
toScript
Get a scripting compatible string representation.- Returns:
- script compatible representation for this container.
- See Also:
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hashCode
public int hashCode()Hash code for this Factors. -
equals
Comparison with any other object.
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