1 | initial version |
In Python (the programming language Sage uses),
=
, while ==
is to test equalitywhile
loop is everything that is indented after :
.So your code might want to look something like that instead:
def div(f, g):
q = 0
r = f
while r != 0 and g.lt().divides(r.lt()):
q = q + r.lt() // g.lt()
r = r - (r.lt() // g.lt()) * g
return q, r
Then you can use the function as follows.
Define a polynomial ring and two polynomials:
sage: R.<x> = QQ[]
sage: f = x^5 + x^3 + 2
sage: g = x^2 + 1
Apply the function:
sage: div(f, g)
(x^3, 2)