diff options
Diffstat (limited to 'src/algebra/oderf.spad.pamphlet')
| -rw-r--r-- | src/algebra/oderf.spad.pamphlet | 12 |
1 files changed, 4 insertions, 8 deletions
diff --git a/src/algebra/oderf.spad.pamphlet b/src/algebra/oderf.spad.pamphlet index 096c8973..96e1f9f1 100644 --- a/src/algebra/oderf.spad.pamphlet +++ b/src/algebra/oderf.spad.pamphlet @@ -116,24 +116,21 @@ BoundIntegerRoots(F, UP): Exports == Implementation where retract eval(f, t, [random()$Q :: F for k in t]) integerBound p == --- one? degree p => zroot1 p - (degree p) = 1 => zroot1 p + one? degree p => zroot1 p q1 := map(bringDown, p) q2 := map(bringDown, p) qbound(p, gcd(q1, q2)) else integerBound p == --- one? degree p => zroot1 p - (degree p) = 1 => zroot1 p + one? degree p => zroot1 p qbound(p, map(retract(#1)@Q, p)) -- we can probably do better here (i.e. without factoring) qbound(p, q) == bound:Z := 0 for rec in factors factor q repeat --- if one?(degree(rec.factor)) and ((r := qzroot1(rec.factor)) < bound) - if ((degree(rec.factor)) = 1) and ((r := qzroot1(rec.factor)) < bound) + if one?(degree(rec.factor)) and ((r := qzroot1(rec.factor)) < bound) and zero? p(r::Q::F) then bound := r bound @@ -828,8 +825,7 @@ ConstantLODE(R, F, L): Exports == Implementation where l basisSqfr(p, x) == --- one?(d := degree p) => - ((d := degree p) = 1) => + one?(d := degree p) => [exp(- coefficient(p, 0) * x / leadingCoefficient p)] d = 2 => quadSol(p, x) [exp(a * x) for a in rootsOf p] |