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How to fix this unbound value problem?
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 Date: 2008-08-30 (21:29) From: circ ular Subject: How to fix this unbound value problem?
```how do I compile a program? what suffix does ocaml files have?

when evaling the below program  I get:

#                                     Characters 9-10:
for y = n - 1 downto 0 do
^
Unbound value n
#

let delta = sqrt epsilon_float

type vec = {x:float; y:float; z:float}
let zero = {x=0.; y=0.; z=0.}
let ( *| ) s r = {x = s *. r.x; y = s *. r.y; z = s *. r.z}
let ( +| ) a b = {x = a.x +. b.x; y = a.y +. b.y; z = a.z +. b.z}
let ( -| ) a b = {x = a.x -. b.x; y = a.y -. b.y; z = a.z -. b.z}
let dot a b = a.x *. b.x +. a.y *. b.y +. a.z *. b.z
let length r = sqrt(dot r r)
let unitise r = 1. /. length r *| r

let ray_sphere orig dir center radius =
let v = center -| orig in
let b = dot v dir in
let d2 = (b *. b -. dot v v +. radius *. radius) in
if d2 < 0. then infinity else
let d = sqrt d2 in
let t1 = b -. d and t2 = b +. d in
if t2>0. then if t1>0. then t1 else t2 else infinity

let rec intersect orig dir (l, _ as hit) (center, radius, scene) =
match ray_sphere orig dir center radius, scene with
| l', _ when l' >= l -> hit
| l', [] -> l', unitise (orig +| l' *| dir -| center)
| _, scenes -> intersects orig dir hit scenes
and intersects orig dir hit = function
| [] -> hit
| scene::scenes -> intersects orig dir (intersect orig dir hit scene) scenes

let light = unitise {x=1.; y=3.; z= -2.} and ss = 4

let rec ray_trace dir scene =
let l, n = intersect zero dir (infinity, zero) scene in
let g = dot n light in
if g <= 0. then 0. else
let p = l *| dir +| sqrt epsilon_float *| n in
if fst (intersect p light (infinity, zero) scene) < infinity then 0. else g

let rec create level c r =
let obj = c, r, [] in
if level = 1 then obj else
let a = 3. *. r /. sqrt 12. in
let aux x' z' = create (level - 1) (c +| {x=x'; y=a; z=z'}) (0.5 *. r) in
c, 3. *. r, [obj; aux (-.a) (-.a); aux a (-.a); aux (-.a) a; aux a a]

let level, n =
try int_of_string Sys.argv.(1), int_of_string Sys.argv.(2) with _ -> 9, 512

let scene = create level {x=0.; y= -1.; z=4.} 1.;;

Printf.printf "P5\n%d %d\n255\n" n n;;
for y = n - 1 downto 0 do
for x = 0 to n - 1 do
let g = ref 0. in
for dx = 0 to ss - 1 do
for dy = 0 to ss - 1 do
let aux x d = float x -. float n /. 2. +. float d /. float ss in
let dir = unitise {x=aux x dx; y=aux y dy; z=float n} in
g := !g +. ray_trace dir scene
done;
done;
let g = 0.5 +. 255. *. !g /. float (ss*ss) in
Printf.printf "%c" (char_of_int (int_of_float g))
done;
done

```