tweak: move from array to list

ocaml/samples.ml

@@ -2,17 +2,27 @@
 let pi = acos (-1.)
 let normal_95_ci_length = 1.6448536269514722
 
-(* Array manipulation helpers *)
+(* List manipulation helpers *)
-let sumFloats xs = Array.fold_left(fun acc x -> acc +. x) 0.0 xs
+let sumFloats xs = List.fold_left(fun acc x -> acc +. x) 0.0 xs
 let normalizeXs xs = 
   let sum_xs = sumFloats xs in 
-  Array.map(fun x -> x /. sum_xs) xs
+  List.map(fun x -> x /. sum_xs) xs
 let cumsumXs xs = 
-  let _, cum_sum = Array.fold_left(fun (sum, ys) x -> 
+  let _, cum_sum = List.fold_left(fun (sum, ys) x -> 
     let new_sum = sum +. x in
     new_sum, ys @ [new_sum]
   ) (0.0, []) xs in
   cum_sum
+let rec nth xs (n: int) = 
+  match xs with
+  | [] -> None
+  | y :: ys -> if n = 0 then Some(y) else nth ys (n-1)
+  (* 
+     Note that this is O(n) access.
+     That is the cost of using the nice match syntax,
+     which is not possible with OCaml arrays
+  *)
+
 let findIndex xs test = 
   let rec recursiveHelper ys i = 
     match ys with
@@ -41,17 +51,21 @@ let sampleTo low high =
   let logstd = (loghigh -. loglow) /. (2.0 -. normal_95_ci_length ) in
   sampleLognormal logmean logstd
 
-let mixture (samplers: (unit -> float) array) (weights: float array): float option = 
+let mixture (samplers: (unit -> float) list) (weights: float list): float option = 
-   if (Array.length samplers == Array.length weights) 
+   if (List.length samplers == List.length weights) 
     then None
   else
     let normalized_weights = normalizeXs weights in
     let cumsummed_normalized_weights = cumsumXs normalized_weights in
     let p = sampleZeroToOne () in
     let chosenSamplerIndex = findIndex cumsummed_normalized_weights (fun x -> x < p) in
-    let sample = match chosenSamplerIndex with
+    let sampler = match chosenSamplerIndex with
       | None -> None
-      | Some(i) -> Some (samplers.(i) ())
+      | Some(i) -> nth samplers i
+    in
+    let sample = match sampler with
+      | None -> None
+      | Some(f) -> Some(f ())
     in 
     sample
 
@@ -63,9 +77,9 @@ let () =
   let p1 = 0.8 in 
   let p2 = 0.5 in 
   let p3 = p1 *. p2 in 
-  let weights = [| 1. -. p3; p3 /. 2.; p3 /. 4.; p3/. 4. |] in
+  let weights = [ 1. -. p3; p3 /. 2.; p3 /. 4.; p3/. 4. ] in
-  let sampler () = mixture [| sample0; sample1; sampleFew; sampleMany |] weights in
+  let sampler () = mixture [ sample0; sample1; sampleFew; sampleMany ] weights in
   let n = 1_000_000 in 
-  let samples = Array.init n (fun _ -> sampler ()) in 
+  let samples = List.init n (fun _ -> sampler ()) in 
   (* let mean = sumFloats samples /. n in *)
   Printf.printf "Hello world\n"