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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/manip.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/manip.spad.pamphlet')
-rw-r--r-- | src/algebra/manip.spad.pamphlet | 30 |
1 files changed, 10 insertions, 20 deletions
diff --git a/src/algebra/manip.spad.pamphlet b/src/algebra/manip.spad.pamphlet index e112a811..17fb455a 100644 --- a/src/algebra/manip.spad.pamphlet +++ b/src/algebra/manip.spad.pamphlet @@ -33,8 +33,7 @@ FactoredFunctions(M:IntegralDomain): Exports == Implementation where Implementation ==> add nthRoot(ff, n) == coeff:M := 1 --- radi:List(M) := (one? unit ff => empty(); [unit ff]) - radi:List(M) := (((unit ff) = 1) => empty(); [unit ff]) + radi:List(M) := (one? unit ff => empty(); [unit ff]) lf := factors ff d:N := empty? radi => gcd(concat(n, [t.exponent::N for t in lf]))::N @@ -100,8 +99,7 @@ PolynomialRoots(E, V, R, P, F):Exports == Implementation where zroot : (Z, N) -> Record(exponent:N, coef:Z, radicand:Z) zroot(x, n) == --- zero? x or one? x => [1, x, 1] - zero? x or (x = 1) => [1, x, 1] + zero? x or one? x => [1, x, 1] s := nthRoot(squareFree x, n) [s.exponent, s.coef, */s.radicand] @@ -164,8 +162,7 @@ PolynomialRoots(E, V, R, P, F):Exports == Implementation where else nthr(x, n) == nthRoot(squareFree x, n) froot(x, n) == --- zero? x or one? x => [1, x, 1] - zero? x or (x = 1) => [1, x, 1] + zero? x or one? x => [1, x, 1] sn := nthr(numer x, n) sd := nthr(denom x, n) pn := rsplit(sn.radicand) @@ -358,18 +355,15 @@ AlgebraicManipulations(R, F): Exports == Implementation where q := univariate(p, k) while (d := degree q) > 0 repeat term := --- one?(g := gcd(d, n)) => monomial(1, k, d) - ((g := gcd(d, n)) = 1) => monomial(1, k, d) + one?(g := gcd(d, n)) => monomial(1, k, d) monomial(1, kernel(operator k, [a,(n quo g)::F], height k), d quo g) ans := ans + leadingCoefficient(q)::F * term::F q := reductum q leadingCoefficient(q)::F + ans inroot(op, x, n) == --- one? x => x - (x = 1) => x --- (x ~= -1) and (one?(num := numer x) or (num = -1)) => - (x ~= -1) and (((num := numer x) = 1) or (num = -1)) => + one? x => x + (x ~= -1) and (one?(num := numer x) or (num = -1)) => inv inroot(op, (num * denom x)::F, n) (u := isExpt(x, op)) case "failed" => kernel(op, [x, n::F]) pr := u::Record(var:K, exponent:Integer) @@ -648,13 +642,11 @@ TranscendentalManipulations(R, F): Exports == Implementation where not (terms case "failed") => logArgs(terms) expt : Union(POW, "failed") := isPower(e) --- (expt case POW) and not one? expt.exponent => - (expt case POW) and not (expt.exponent = 1) => + (expt case POW) and not one? expt.exponent => simplifyLog(expt.val)**(expt.exponent) kers : List K := kernels e --- not(one?(#kers)) => e -- Have a constant - not(((#kers) = 1)) => e -- Have a constant + not(one?(#kers)) => e -- Have a constant kernel(operator first kers,[simplifyLog(u) for u in argument first kers]) @@ -666,10 +658,8 @@ TranscendentalManipulations(R, F): Exports == Implementation where expandpow k == a := expandPower first(arg := argument k) b := expandPower second arg --- ne:F := (one? numer a => 1; numer(a)::F ** b) - ne:F := (((numer a) = 1) => 1; numer(a)::F ** b) --- de:F := (one? denom a => 1; denom(a)::F ** (-b)) - de:F := (((denom a) = 1) => 1; denom(a)::F ** (-b)) + ne:F := (one? numer a => 1; numer(a)::F ** b) + de:F := (one? denom a => 1; denom(a)::F ** (-b)) ne * de termexp p == |