How should I write this algorithm?
hello I want to write this algorithm in sage, but I don't know how to write it as an algorithm in sage, could you please help me
Algorithm : update basis-update of intermediate basis G with reduct h Given: a finite set G_old ? B[X] and the reduct 0!=h ? B[X]
Find: updates G_new ? B[X] of G_old
begin
1: G_new <-- Ø
2: while G_old !=Ø do
3: selecting from G_old ; G_old <-- G_old {g}
4: if HT(h) not divisible HT(g) then
5: G_new <-- G_new U {g}
6: end
7:end
8: G_new <-- G_new U {h}
9: return G_new
end
thank you so much