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author | dos-reis <gdr@axiomatics.org> | 2009-02-08 01:44:04 +0000 |
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committer | dos-reis <gdr@axiomatics.org> | 2009-02-08 01:44:04 +0000 |
commit | 6d93161de89559ad66be655a50d3a5001c208c90 (patch) | |
tree | 30e165f0c3cf7d8eb28fae9fa9fc9dcf0acd3ab8 /src/algebra/pfo.spad.pamphlet | |
parent | 2fbcd8bc4f97cc3e534e11414f5a12dbc08edf2d (diff) | |
download | open-axiom-6d93161de89559ad66be655a50d3a5001c208c90.tar.gz |
Fix AW/66
* algebra/zerodim.spad.pamphlet: Restore use of one?
* algebra/updivp.spad.pamphlet: Likewise.
* algebra/unifact.spad.pamphlet: Likewise.
* algebra/triset.spad.pamphlet: Likewise.
* algebra/tools.spad.pamphlet: Likewise.
* algebra/suts.spad.pamphlet: Likewise.
* algebra/sttaylor.spad.pamphlet: Likewise.
* algebra/string.spad.pamphlet: Likewise.
* algebra/sregset.spad.pamphlet: Likewise.
* algebra/si.spad.pamphlet: Likewise.
* algebra/sf.spad.pamphlet: Likewise.
* algebra/riccati.spad.pamphlet: Likewise.
* algebra/rf.spad.pamphlet: Likewise.
* algebra/regset.spad.pamphlet: Likewise.
* algebra/rderf.spad.pamphlet: Likewise.
* algebra/rdeef.spad.pamphlet: Likewise.
* algebra/quat.spad.pamphlet: Likewise.
* algebra/puiseux.spad.pamphlet: Likewise.
* algebra/pscat.spad.pamphlet: Likewise.
* algebra/prtition.spad.pamphlet: Likewise.
* algebra/prs.spad.pamphlet: Likewise.
* algebra/primelt.spad.pamphlet: Likewise.
* algebra/polycat.spad.pamphlet: Likewise.
* algebra/poly.spad.pamphlet: Likewise.
* algebra/polset.spad.pamphlet: Likewise.
* algebra/pfo.spad.pamphlet: Likewise.
* algebra/perm.spad.pamphlet: Likewise.
* algebra/pattern.spad.pamphlet: Likewise.
* algebra/padiclib.spad.pamphlet:Likewise.
* algebra/openmath.spad.pamphlet: Likewise.
* algebra/opalg.spad.pamphlet: Likewise.
* algebra/op.spad.pamphlet: Likewise.
* algebra/omerror.spad.pamphlet: Likewise.
* algebra/oderf.spad.pamphlet: Likewise.
* algebra/odeef.spad.pamphlet: Likewise.
* algebra/oct.spad.pamphlet: Likewise.
* algebra/nlinsol.spad.pamphlet: Likewise.
* algebra/newpoly.spad.pamphlet: Likewise.
* algebra/naalgc.spad.pamphlet: Likewise.
* algebra/naalg.spad.pamphlet: Likewise.
* algebra/multpoly.spad.pamphlet: Likewise.
* algebra/mring.spad.pamphlet: Likewise.
* algebra/modring.spad.pamphlet: Likewise.
* algebra/moddfact.spad.pamphlet: Likewise.
* algebra/mkfunc.spad.pamphlet: Likewise.
* algebra/matstor.spad.pamphlet: Likewise.
* algebra/matrix.spad.pamphlet: Likewise.
* algebra/matcat.spad.pamphlet: Likewise.
* algebra/manip.spad.pamphlet: Likewise.
* algebra/lodof.spad.pamphlet: Likewise.
* algebra/liouv.spad.pamphlet: Likewise.
* algebra/laplace.spad.pamphlet: Likewise.
* algebra/irexpand.spad.pamphlet: Likewise.
* algebra/intrf.spad.pamphlet: Likewise.
* algebra/intpm.spad.pamphlet: Likewise.
* algebra/intfact.spad.pamphlet: Likewise.
* algebra/integer.spad.pamphlet: Likewise.
* algebra/intclos.spad.pamphlet: Likewise.
* algebra/intaux.spad.pamphlet: Likewise.
* algebra/intalg.spad.pamphlet: Likewise.
* algebra/intaf.spad.pamphlet: Likewise.
* algebra/gpol.spad.pamphlet: Likewise.
* algebra/gpgcd.spad.pamphlet: Likewise.
* algebra/gb.spad.pamphlet: Likewise.
* algebra/gaussian.spad.pamphlet: Likewise.
* algebra/galutil.spad.pamphlet: Likewise.
* algebra/galpolyu.spad.pamphlet: Likewise.
* algebra/galfact.spad.pamphlet: Likewise.
* algebra/fspace.spad.pamphlet: Likewise.
* algebra/fs2ups.spad.pamphlet: Likewise.
* algebra/fs2expxp.spad.pamphlet: Likewise.
* algebra/free.spad.pamphlet: Likewise.
* algebra/fraction.spad.pamphlet: Likewise.
* algebra/fr.spad.pamphlet: Likewise.
* algebra/fparfrac.spad.pamphlet: Likewise.
* algebra/fortran.spad.pamphlet: Likewise.
* algebra/fmod.spad.pamphlet: Likewise.
* algebra/float.spad.pamphlet: Likewise.
* algebra/ffx.spad.pamphlet: Likewise.
* algebra/ffnb.spad.pamphlet: Likewise.
* algebra/ffcg.spad.pamphlet: Likewise.
* algebra/ffcat.spad.pamphlet: Likewise.
* algebra/exprode.spad.pamphlet: Likewise.
* algebra/expr.spad.pamphlet: Likewise.
* algebra/expexpan.spad.pamphlet: Likewise.
* algebra/elemntry.spad.pamphlet: Likewise.
* algebra/efupxs.spad.pamphlet: Likewise.
* algebra/efuls.spad.pamphlet: Likewise.
* algebra/e04routine.spad.pamphlet: Likewise.
* algebra/e04agents.spad.pamphlet: Likewise.
* algebra/divisor.spad.pamphlet: Likewise.
* algebra/derham.spad.pamphlet: Likewise.
* algebra/defintrf.spad.pamphlet: Likewise.
* algebra/defintef.spad.pamphlet: Likewise.
* algebra/defaults.spad.pamphlet: Likewise.
* algebra/d03agents.spad.pamphlet: Likewise.
* algebra/d01weights.spad.pamphlet: Likewise.
* algebra/d01routine.spad.pamphlet: Likewise.
* algebra/d01agents.spad.pamphlet: Likewise.
* algebra/curve.spad.pamphlet: Likewise.
* algebra/crfp.spad.pamphlet: Likewise.
* algebra/cont.spad.pamphlet: Likewise.
* algebra/constant.spad.pamphlet: Likewise.
* algebra/complet.spad.pamphlet: Likewise.
* algebra/combfunc.spad.pamphlet: Likewise.
* algebra/catdef.spad.pamphlet: Likewise.
* algebra/brill.spad.pamphlet: Likewise.
* algebra/array1.spad.pamphlet: Likewise.
* algebra/algfunc.spad.pamphlet: Likewise.
* algebra/algfact.spad.pamphlet: Likewise.
Diffstat (limited to 'src/algebra/pfo.spad.pamphlet')
-rw-r--r-- | src/algebra/pfo.spad.pamphlet | 18 |
1 files changed, 6 insertions, 12 deletions
diff --git a/src/algebra/pfo.spad.pamphlet b/src/algebra/pfo.spad.pamphlet index 493a68e4..5a36f184 100644 --- a/src/algebra/pfo.spad.pamphlet +++ b/src/algebra/pfo.spad.pamphlet @@ -190,8 +190,7 @@ PointsOfFiniteOrderRational(UP, UPUP, R): Exports == Implementation where n := rat(modulus, d, p := getGoodPrime bad) -- if n > 1 then it is cheaper to compute the order modulo a second prime, -- since computing n * d could be very expensive --- one? n => n - (n = 1) => n + one? n => n m := rat(modulus, d, getGoodPrime(p * bad)) n = m => n 0 @@ -203,8 +202,7 @@ PointsOfFiniteOrderRational(UP, UPUP, R): Exports == Implementation where -- returns the potential order of d, 0 if d is of infinite order possibleOrder d == --- zero?(genus()) or one?(#(numer ideal d)) => 1 - zero?(genus()) or (#(numer ideal d) = 1) => 1 + zero?(genus()) or one?(#(numer ideal d)) => 1 r := polyred definingPolynomial()$R ratcurve(d, r, doubleDisc r) @@ -447,8 +445,7 @@ PointsOfFiniteOrder(R0, F, UP, UPUP, R): Exports == Implementation where gf := InnerPrimeField p m := map(retract(#1)@Z :: gf, mm)$SparseUnivariatePolynomialFunctions2(Q, gf) --- one? degree m => - (degree m = 1) => + one? degree m => alpha := - coefficient(m, 0) / leadingCoefficient m order(d, pp, (map(numer(#1)::gf / denom(#1)::gf, @@ -476,8 +473,7 @@ PointsOfFiniteOrder(R0, F, UP, UPUP, R): Exports == Implementation where n := rat(pp, d, p := getGoodPrime bad) -- if n > 1 then it is cheaper to compute the order modulo a second prime, -- since computing n * d could be very expensive --- one? n => n - (n = 1) => n + one? n => n m := rat(pp, d, getGoodPrime(p * bad)) n = m => n 0 @@ -490,8 +486,7 @@ PointsOfFiniteOrder(R0, F, UP, UPUP, R): Exports == Implementation where -- returns the potential order of d, 0 if d is of infinite order possibleOrder d == --- zero?(genus()) or one?(#(numer ideal d)) => 1 - zero?(genus()) or (#(numer ideal d) = 1) => 1 + zero?(genus()) or one?(#(numer ideal d)) => 1 empty?(la := alglist d) => ratcurve(d, selIntegers()) not(empty? rest la) => error "PFO::possibleOrder: more than 1 algebraic constant" @@ -548,8 +543,7 @@ PointsOfFiniteOrder(R0, F, UP, UPUP, R): Exports == Implementation where l := [f.factor for f in factors factor(map(retract(#1)@Z :: gf, rec.dfpoly)$SparseUnivariatePolynomialFunctions2(Q, gf))$DistinctDegreeFactorize(gf, --- SparseUnivariatePolynomial gf) | one?(f.exponent)] - SparseUnivariatePolynomial gf) | (f.exponent = 1)] + SparseUnivariatePolynomial gf) | one?(f.exponent)] empty? l => "failed" mdg := first l for ff in rest l repeat |