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authordos-reis <gdr@axiomatics.org>2008-08-31 13:56:20 +0000
committerdos-reis <gdr@axiomatics.org>2008-08-31 13:56:20 +0000
commite8df02fd0970cad96e174ffb5b7707081266f371 (patch)
tree5e5322ecc176e9e8bb2bc5caad00409a0a687f42 /src/algebra/idecomp.spad.pamphlet
parent3c58b07e75e2c6cc1cd57d2902aa305335161e5e (diff)
downloadopen-axiom-e8df02fd0970cad96e174ffb5b7707081266f371.tar.gz
* algebra/boolean.spad.pamphlet (Boolean): Remove definition of
operator ^. * algebra/aggcat.spad.pamphlet (BitAggregate): Likewise. * algebra/color.spad.pamphlet: Replace use of '^' as logical negation by 'not'. * algebra/ddfact.spad.pamphlet: Likewise. * algebra/fortran.spad.pamphlet: Likewise. * algebra/gaussfac.spad.pamphlet: Likewise. * algebra/gbeuclid.spad.pamphlet: Likewise. * algebra/gbintern.spad.pamphlet: Likewise. * algebra/ghensel.spad.pamphlet: Likewise. * algebra/groebsol.spad.pamphlet: Likewise. * algebra/ideal.spad.pamphlet: Likewise. * algebra/idecomp.spad.pamphlet: Likewise. * algebra/indexedp.spad.pamphlet: Likewise. * algebra/listgcd.spad.pamphlet: Likewise. * algebra/mfinfact.spad.pamphlet: Likewise. * algebra/modgcd.spad.pamphlet: Likewise. * algebra/multfact.spad.pamphlet: Likewise. * algebra/multsqfr.spad.pamphlet: Likewise. * algebra/newpoint.spad.pamphlet: Likewise. * algebra/npcoef.spad.pamphlet: Likewise. * algebra/permgrps.spad.pamphlet: Likewise. * algebra/pgcd.spad.pamphlet: Likewise. * algebra/pleqn.spad.pamphlet: Likewise. * algebra/qalgset.spad.pamphlet: Likewise. * algebra/radeigen.spad.pamphlet: Likewise. * algebra/rep2.spad.pamphlet: Likewise. * algebra/solverad.spad.pamphlet: Likewise. * algebra/space.spad.pamphlet: Likewise. * algebra/view2D.spad.pamphlet: Likewise. * algebra/strap/: Update cached Lisp translateion * share/algebra/: Update databases.
Diffstat (limited to 'src/algebra/idecomp.spad.pamphlet')
-rw-r--r--src/algebra/idecomp.spad.pamphlet19
1 files changed, 10 insertions, 9 deletions
diff --git a/src/algebra/idecomp.spad.pamphlet b/src/algebra/idecomp.spad.pamphlet
index 740d60de..fe8b86f6 100644
--- a/src/algebra/idecomp.spad.pamphlet
+++ b/src/algebra/idecomp.spad.pamphlet
@@ -121,7 +121,7 @@ IdealDecompositionPackage(vl,nv) : C == T -- take away nv, now doesn't
nvint1:=(#lvint-1)::NNI
deleteunit(lI: List FIdeal) : List FIdeal ==
- [I for I in lI | _^ element?(1$DPoly,I)]
+ [I for I in lI | not element?(1$DPoly,I)]
rearrange(vlist:List OV) :List OV ==
vlist=[] => vlist
@@ -162,7 +162,7 @@ IdealDecompositionPackage(vl,nv) : C == T -- take away nv, now doesn't
f:DPoly:=s
I:=groebner I
J:=generators(JJ:= (saturate(I,s)))
- while _^ in?(ideal([f*g for g in J]),I) repeat f:=s*f
+ while not in?(ideal([f*g for g in J]),I) repeat f:=s*f
[f,JJ]
---- is the ideal zerodimensional? ----
@@ -176,7 +176,7 @@ IdealDecompositionPackage(vl,nv) : C == T -- take away nv, now doesn't
f := Jd.first
Jd:=Jd.rest
if ((y:=mainVariable f) case "failed") or (y::OV ~=x )
- or _^ (ismonic (f,x)) then return false
+ or not (ismonic (f,x)) then return false
while Jd~=[] and (mainVariable Jd.first)::OV=x repeat Jd:=Jd.rest
if Jd=[] and position(x,truelist)<n then return false
true
@@ -227,7 +227,7 @@ IdealDecompositionPackage(vl,nv) : C == T -- take away nv, now doesn't
for ef in lfact repeat
g:DPoly:=(ef.factor)**(ef.exponent::NNI)
J1:= groebnerIdeal(groebner cons(g,Jd))
- if _^ (is0dimprimary (J1,truelist)) then
+ if not (is0dimprimary (J1,truelist)) then
return zeroPrimDecomp(I,truelist)
ris:=cons(groebner backGenPos(J1,lval,truelist),ris)
ris
@@ -301,13 +301,13 @@ IdealDecompositionPackage(vl,nv) : C == T -- take away nv, now doesn't
(i case "failed") => return true
JR:=(reverse Jd);JM:=groebnerIdeal([JR.first]);JP:List(DPoly):=[]
for f in JR.rest repeat
- if _^ ismonic(f,truelist.i) then
- if _^ inRadical?(f,JM) then return false
+ if not ismonic(f,truelist.i) then
+ if not inRadical?(f,JM) then return false
JP:=cons(f,JP)
else
x:=truelist.i
i:=(i-1)::NNI
- if _^ testPower(univariate(f,x),x,JM) then return false
+ if not testPower(univariate(f,x),x,JM) then return false
JM :=groebnerIdeal(append(cons(f,JP),generators JM))
true
@@ -355,7 +355,7 @@ IdealDecompositionPackage(vl,nv) : C == T -- take away nv, now doesn't
Jd:=generators J
#Jd~=n => false
for f in Jd repeat
- if _^ ismonic(f,lvint.i) then return false
+ if not ismonic(f,lvint.i) then return false
if i<n and (degree univariate(f,lvint.i))~=1 then return false
i:=i+1
g:=Jd.n
@@ -384,7 +384,8 @@ IdealDecompositionPackage(vl,nv) : C == T -- take away nv, now doesn't
n:= # lvar
#fullVars < n => error "wrong vars"
n=0 => I
- newVars:= append([vv for vv in fullVars| ^member?(vv,lvar)]$List(OV),lvar)
+ newVars:= append([vv for vv in fullVars
+ | not member?(vv,lvar)]$List(OV),lvar)
subsVars := [monomial(1,vv,1)$DPoly1 for vv in newVars]
lJ:= [eval(g,fullVars,subsVars) for g in Id]
J := groebner(lJ)