/usr/share/axiom-20170501/src/algebra/RFFACTOR.spad is in axiom-source 20170501-3.
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1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 | )abbrev package RFFACTOR RationalFunctionFactorizer
++ Author: P. Gianni
++ Date Last Updated: March 1995
++ Description:
++ \spadtype{RationalFunctionFactorizer} contains the factor function
++ (called factorFraction) which factors fractions of polynomials by factoring
++ the numerator and denominator. Since any non zero fraction is a unit
++ the usual factor operation will just return the original fraction.
RationalFunctionFactorizer(R) : SIG == CODE where
R : EuclideanDomain -- R with factor for R[X]
P ==> Polynomial R
FP ==> Fraction P
SE ==> Symbol
SIG ==> with
factorFraction : FP -> Fraction Factored(P)
++ factorFraction(r) factors the numerator and the denominator of
++ the polynomial fraction r.
CODE ==> add
factorFraction(p:FP) : Fraction Factored(P) ==
R is Fraction Integer =>
MR:=MRationalFactorize(IndexedExponents SE,SE,
Integer,P)
(factor(numer p)$MR)/ (factor(denom p)$MR)
R has FiniteFieldCategory =>
FF:=MultFiniteFactorize(SE,IndexedExponents SE,R,P)
(factor(numer p))$FF/(factor(denom p))$FF
R has CharacteristicZero =>
MFF:=MultivariateFactorize(SE,IndexedExponents SE,R,P)
(factor(numer p))$MFF/(factor(denom p))$MFF
error "case not handled"
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