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authordos-reis <gdr@axiomatics.org>2009-02-08 01:44:04 +0000
committerdos-reis <gdr@axiomatics.org>2009-02-08 01:44:04 +0000
commit6d93161de89559ad66be655a50d3a5001c208c90 (patch)
tree30e165f0c3cf7d8eb28fae9fa9fc9dcf0acd3ab8 /src/algebra/gpgcd.spad.pamphlet
parent2fbcd8bc4f97cc3e534e11414f5a12dbc08edf2d (diff)
downloadopen-axiom-6d93161de89559ad66be655a50d3a5001c208c90.tar.gz
Fix AW/66
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Diffstat (limited to 'src/algebra/gpgcd.spad.pamphlet')
-rw-r--r--src/algebra/gpgcd.spad.pamphlet15
1 files changed, 5 insertions, 10 deletions
diff --git a/src/algebra/gpgcd.spad.pamphlet b/src/algebra/gpgcd.spad.pamphlet
index 5b5c4510..7a5d282f 100644
--- a/src/algebra/gpgcd.spad.pamphlet
+++ b/src/algebra/gpgcd.spad.pamphlet
@@ -119,8 +119,7 @@ GeneralPolynomialGcdPackage(E,OV,R,P):C == T where
pp1:=flatten(p1,v1)
pp2:=flatten(p2,v2)
g:=gcdSameVariables(pp1,pp2,v)
--- one? g => gcd(c1,c2)::SUPP
- (g = 1) => gcd(c1,c2)::SUPP
+ one? g => gcd(c1,c2)::SUPP
(#v1 = 0 or not (p1 exquo g) case "failed") and
-- if #vi = 0 then pp1 = p1, so we know g divides
(#v2 = 0 or not (p2 exquo g) case "failed")
@@ -132,8 +131,7 @@ GeneralPolynomialGcdPackage(E,OV,R,P):C == T where
if (#v1 = 0) then g:= gcdSameVariables(g,flatten(p2,v2),v)
else if (#v2=0) then g:=gcdSameVariables(g,flatten(p1,v1),v)
else g:=gcdSameVariables(g,flatten(p1,v1)-flatten(p2,v2),v)
--- one? g => gcd(c1,c2)::SUPP
- (g = 1) => gcd(c1,c2)::SUPP
+ one? g => gcd(c1,c2)::SUPP
(#v1 = 0 or not (p1 exquo g) case "failed") and
(#v2 = 0 or not (p2 exquo g) case "failed")
=> g*gcd(c1,c2)::SUPP -- divdes them both, so is the gcd
@@ -141,8 +139,7 @@ GeneralPolynomialGcdPackage(E,OV,R,P):C == T where
v1:=setDifference(vp1,v)
if #v1 ~= 0 then
g:=recursivelyGCDCoefficients(g,v,p1,v1)
--- one? g => return gcd(c1,c2)::SUPP
- (g = 1) => return gcd(c1,c2)::SUPP
+ one? g => return gcd(c1,c2)::SUPP
v:=variables g -- there can be at most these variables in answer
v2:=setDifference(vp2,v)
recursivelyGCDCoefficients(g,v,p2,v2)*gcd(c1,c2)
@@ -254,8 +251,7 @@ GeneralPolynomialGcdPackage(E,OV,R,P):C == T where
oldg:=g
if pv = [] then g:=gcdSameVariables(g,p1,v)
else g:=recursivelyGCDCoefficients(p,v,p1,pv)
--- one? g => return 1
- (g = 1) => return 1
+ one? g => return 1
g~=oldg =>
oldv:=v
v:=variables g
@@ -276,8 +272,7 @@ GeneralPolynomialGcdPackage(E,OV,R,P):C == T where
-- p1 is non-zero, but has degree zero
-- p2 is non-zero
cp1:=leadingCoefficient p1
--- one? cp1 => 1
- (cp1 = 1) => 1
+ one? cp1 => 1
degree p2 = 0 => gcd(cp1,leadingCoefficient p2)::SUPP
un?:=unit? cp1
while not zero? p2 and not un? repeat