diff options
Diffstat (limited to 'src/algebra/polycat.spad.pamphlet')
| -rw-r--r-- | src/algebra/polycat.spad.pamphlet | 8 |
1 files changed, 4 insertions, 4 deletions
diff --git a/src/algebra/polycat.spad.pamphlet b/src/algebra/polycat.spad.pamphlet index 140fc069..d3107611 100644 --- a/src/algebra/polycat.spad.pamphlet +++ b/src/algebra/polycat.spad.pamphlet @@ -538,7 +538,7 @@ PolynomialCategory(R:Ring, E:OrderedAbelianMonoidSup, VarSet:OrderedSet): vars:=rest vars d:=degree(p,v) ans:% := 0 - while (d>0) repeat + while positive? d repeat (dd:=(d::Integer exquo ch::Integer)) case "failed" => return nothing cp:=coefficient(p,v,d) @@ -880,7 +880,7 @@ UnivariatePolynomialCategory(R:Ring): Category == if R has CommutativeRing then differentiate(x:%, deriv:R -> R, x':%) == d:% := 0 - while (dg := degree x) > 0 repeat + while positive?(dg := degree x) repeat lc := leadingCoefficient x d := d + x' * monomial(dg * lc, (dg - 1)::NonNegativeInteger) + monomial(deriv lc, dg) @@ -896,7 +896,7 @@ UnivariatePolynomialCategory(R:Ring): Category == differentiate(x:%, deriv:R -> R, x':%) == d:% := 0 - while (dg := degree x) > 0 repeat + while positive?(dg := degree x) repeat lc := leadingCoefficient x d := d + monomial(deriv lc, dg) + lc * ncdiff(dg, x') x := reductum x @@ -904,7 +904,7 @@ UnivariatePolynomialCategory(R:Ring): Category == differentiate(x:%, deriv:R -> R) == differentiate(x, deriv, 1$%)$% differentiate(x:%) == d:% := 0 - while (dg := degree x) > 0 repeat + while positive?(dg := degree x) repeat d := d + monomial(dg * leadingCoefficient x, (dg - 1)::NonNegativeInteger) x := reductum x d |