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| author | dos-reis <gdr@axiomatics.org> | 2009-02-08 01:44:04 +0000 |
|---|---|---|
| committer | dos-reis <gdr@axiomatics.org> | 2009-02-08 01:44:04 +0000 |
| commit | 6d93161de89559ad66be655a50d3a5001c208c90 (patch) | |
| tree | 30e165f0c3cf7d8eb28fae9fa9fc9dcf0acd3ab8 /src/algebra/poly.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/poly.spad.pamphlet')
| -rw-r--r-- | src/algebra/poly.spad.pamphlet | 24 |
1 files changed, 8 insertions, 16 deletions
diff --git a/src/algebra/poly.spad.pamphlet b/src/algebra/poly.spad.pamphlet index ff21510e..077ba898 100644 --- a/src/algebra/poly.spad.pamphlet +++ b/src/algebra/poly.spad.pamphlet @@ -44,29 +44,25 @@ FreeModule(R:Ring,S:OrderedSet): if R has EntireRing then r * x == zero? r => 0 --- one? r => x - (r = 1) => x + one? r => x --map(r*#1,x) [[u.k,r*u.c] for u in x ] else r * x == zero? r => 0 --- one? r => x - (r = 1) => x + one? r => x --map(r*#1,x) [[u.k,a] for u in x | (a:=r*u.c) ~= 0$R] if R has EntireRing then x * r == zero? r => 0 --- one? r => x - (r = 1) => x + one? r => x --map(r*#1,x) [[u.k,u.c*r] for u in x ] else x * r == zero? r => 0 --- one? r => x - (r = 1) => x + one? r => x --map(r*#1,x) [[u.k,a] for u in x | (a:=u.c*r) ~= 0$R] @@ -298,8 +294,7 @@ PolynomialRing(R:Ring,E:OrderedAbelianMonoid): T == C p ** nn == null p => 0 zero? nn => 1 --- one? nn => p - (nn = 1) => p + one? nn => p empty? p.rest => zero?(cc:=p.first.c ** nn) => 0 [[nn * p.first.k, cc]] @@ -438,8 +433,7 @@ SparseUnivariatePolynomial(R:Ring): UnivariatePolynomialCategory(R) with p ** n == null p => 0 zero? n => 1 --- one? n => p - (n = 1) => p + one? n => p empty? p.rest => zero?(cc:=p.first.c ** n) => 0 [[n * p.first.k, cc]] @@ -465,8 +459,7 @@ SparseUnivariatePolynomial(R:Ring): UnivariatePolynomialCategory(R) with zero?(p): Boolean == empty?(p) --- one?(p):Boolean == not empty? p and (empty? rest p and zero? first(p).k and one? first(p).c) - one?(p):Boolean == not empty? p and (empty? rest p and zero? first(p).k and (first(p).c = 1)) + one?(p):Boolean == not empty? p and (empty? rest p and zero? first(p).k and one? first(p).c) ground?(p): Boolean == empty? p or (empty? rest p and zero? first(p).k) multiplyExponents(p,n) == [ [u.k*n,u.c] for u in p] divideExponents(p,n) == @@ -720,8 +713,7 @@ SparseUnivariatePolynomial(R:Ring): UnivariatePolynomialCategory(R) with if R has Field then divide( p1, p2) == zero? p2 => error "Division by 0" --- one? p2 => [p1,0] - (p2 = 1) => [p1,0] + one? p2 => [p1,0] ct:=inv(p2.first.c) n:=p2.first.k p2:=p2.rest |
