diff options
Diffstat (limited to 'src/algebra/realzero.spad.pamphlet')
-rw-r--r-- | src/algebra/realzero.spad.pamphlet | 8 |
1 files changed, 4 insertions, 4 deletions
diff --git a/src/algebra/realzero.spad.pamphlet b/src/algebra/realzero.spad.pamphlet index cee4a98e..5a049438 100644 --- a/src/algebra/realzero.spad.pamphlet +++ b/src/algebra/realzero.spad.pamphlet @@ -112,7 +112,7 @@ RealZeroPackage(Pol): T == C where F = 0 => error "ReZeroSqfr: zero polynomial" L : isoList := [] degree(F) = 0 => L - if (r := minimumDegree(F)) > 0 then + if positive?(r := minimumDegree(F)) then L := [[0,0]$Interval] tempF := F exquo monomial(1, r) if not (tempF case "failed") then @@ -140,7 +140,7 @@ RealZeroPackage(Pol): T == C where v = 1 => L := [[0,1]$Interval] G : Pol := transMultInv(2, F) H : Pol := transAdd1(G) - if minimumDegree H > 0 then + if positive? minimumDegree H then -- H has a root at 0 => F has one at 1/2, and G at 1 L := [[1/2,1/2]$Interval] Q : Pol := monomial(1, 1) @@ -277,7 +277,7 @@ RealZeroPackage(Pol): T == C where F := (F exquo (monomial(bd,1)-monomial(bn,0)))::Pol v:=elt(transMultInv(bd, F), bn) u:=elt(transMultInv(ad, F), an) - if u > 0 then (F:=-F;v:=-v) + if positive? u then (F:=-F;v:=-v) if negative? v then error [int, "is not a valid isolation interval for", F] if eps <= 0 then error "precision must be positive" @@ -289,7 +289,7 @@ RealZeroPackage(Pol): T == C where a := mid an := midn ad := midd - v > 0 => + positive? v => b := mid bn := midn bd := midd |