Newton's method for square root:
let sqrt_newton x =
let g = ref 1.0 in
for _ = 1 to 20 do
g := (!g +. x /. !g) /. 2.0
done;
!g
20 iterations is more than enough to converge for x=2 — result is
~1.414213562. Multiplied by 1000 and int_of_float'd: 1414.
First baseline exercising:
- for _ = 1 to N do ... done (wildcard loop variable)
- pure float arithmetic with +. /.
- the int_of_float truncate-toward-zero fix from iter 117
38 baseline programs total.
