diff options
| author | dos-reis <gdr@axiomatics.org> | 2009-05-29 19:09:54 +0000 |
|---|---|---|
| committer | dos-reis <gdr@axiomatics.org> | 2009-05-29 19:09:54 +0000 |
| commit | c39287d87b632b3582b0e179b08d44dc6c27510f (patch) | |
| tree | 88c661ea1bd325ad74b4f3f472c052687e8ca1d4 /src/algebra/poly.spad.pamphlet | |
| parent | a17c2d47d4df5af5ef5e624ac6c5636b2741dd4a (diff) | |
| download | open-axiom-c39287d87b632b3582b0e179b08d44dc6c27510f.tar.gz | |
* algebra/algext.spad.pamphlet: Qualify `characteristic'.
* algebra/clifford.spad.pamphlet: Likewise.
* algebra/complet.spad.pamphlet: Likewise.
* algebra/contfrac.spad.pamphlet: Likewise.
* algebra/curve.spad.pamphlet: Likewise.
* algebra/ddfact.spad.pamphlet: Likewise.
* algebra/derham.spad.pamphlet: Likewise.
* algebra/equation2.spad.pamphlet: Likewise.
* algebra/ffcat.spad.pamphlet: Likewise.
* algebra/ffcg.spad.pamphlet: Likewise.
* algebra/fff.spad.pamphlet: Likewise.
* algebra/ffnb.spad.pamphlet: Likewise.
* algebra/ffp.spad.pamphlet: Likewise.
* algebra/ffpoly.spad.pamphlet: Likewise.
* algebra/ffx.spad.pamphlet: Likewise.
* algebra/fmod.spad.pamphlet: Likewise.
* algebra/fortmac.spad.pamphlet: Likewise.
* algebra/fr.spad.pamphlet: Likewise.
* algebra/fraction.spad.pamphlet: Likewise.
* algebra/fspace.spad.pamphlet: Likewise.
* algebra/gaussian.spad.pamphlet: Likewise.
* algebra/gpol.spad.pamphlet: Likewise.
* algebra/intclos.spad.pamphlet: Likewise.
* algebra/interval.spad.pamphlet: Likewise.
* algebra/laurent.spad.pamphlet: Likewise.
* algebra/matrix.spad.pamphlet: Likewise.
* algebra/modring.spad.pamphlet: Likewise.
* algebra/oct.spad.pamphlet: Likewise.
* algebra/opalg.spad.pamphlet: Likewise.
* algebra/padic.spad.pamphlet: Likewise.
* algebra/perman.spad.pamphlet: Likewise.
* algebra/pf.spad.pamphlet: Likewise.
* algebra/pfr.spad.pamphlet: Likewise.
* algebra/poly.spad.pamphlet: Likewise.
* algebra/polycat.spad.pamphlet: Likewise.
* algebra/puiseux.spad.pamphlet: Likewise.
* algebra/quat.spad.pamphlet: Likewise.
* algebra/radix.spad.pamphlet: Likewise.
* algebra/reclos.spad.pamphlet: Likewise.
* algebra/resring.spad.pamphlet: Likewise.
* algebra/sf.spad.pamphlet: Likewise.
* algebra/si.spad.pamphlet: Likewise.
* algebra/solvefor.spad.pamphlet: Likewise.
* algebra/sups.spad.pamphlet: Likewise.
* algebra/taylor.spad.pamphlet: Likewise.
* algebra/vector.spad.pamphlet: Likewise.
* algebra/xpoly.spad.pamphlet: Likewise.
Diffstat (limited to 'src/algebra/poly.spad.pamphlet')
| -rw-r--r-- | src/algebra/poly.spad.pamphlet | 8 |
1 files changed, 4 insertions, 4 deletions
diff --git a/src/algebra/poly.spad.pamphlet b/src/algebra/poly.spad.pamphlet index 077ba898..c71af1d9 100644 --- a/src/algebra/poly.spad.pamphlet +++ b/src/algebra/poly.spad.pamphlet @@ -438,11 +438,11 @@ SparseUnivariatePolynomial(R:Ring): UnivariatePolynomialCategory(R) with zero?(cc:=p.first.c ** n) => 0 [[n * p.first.k, cc]] -- not worth doing special trick if characteristic is too small - if characteristic()$R < 3 then return expt(p,n pretend PositiveInteger)$RepeatedSquaring(%) + if characteristic$R < 3 then return expt(p,n pretend PositiveInteger)$RepeatedSquaring(%) y:%:=1 -- break up exponent in qn * characteristic + rn -- exponentiating by the characteristic is fast - rec := divide(n, characteristic()$R) + rec := divide(n, characteristic$R) qn:= rec.quotient rn:= rec.remainder repeat @@ -450,8 +450,8 @@ SparseUnivariatePolynomial(R:Ring): UnivariatePolynomialCategory(R) with if rn > 1 then y:= y * binomThmExpt([p.first], p.rest, rn) zero? qn => return y -- raise to the characteristic power - p:= [[t.k * characteristic()$R , primeFrobenius(t.c)$R ]$Term for t in p] - rec := divide(qn, characteristic()$R) + p:= [[t.k * characteristic$R , primeFrobenius(t.c)$R ]$Term for t in p] + rec := divide(qn, characteristic$R) qn:= rec.quotient rn:= rec.remainder y |