type 'a stream = Cons of 'a * 'a stream | Nil exception Subscript exception Empty let head (s: 'a stream) : 'a = match s with | Cons (hd, _) -> hd | Nil -> raise Empty let tail (s: 'a stream) : 'a stream = match s with | Cons (_, tl) -> tl | Nil -> raise Empty let null (s: 'a stream) : bool = match s with | Nil -> true | _ -> false let rec take (n: int) (s: 'a stream) : 'a list = match n with | n when n > 0 -> let h = head s in let t = tail s in h :: take (n - 1) t | _ -> [] let rec nth (n: int) (s: 'a stream) : 'a = match n with | n when n > 0 -> nth (n - 1) (tail s) | 0 -> head s | _ -> raise Subscript let rec map (f: 'a -> 'b) (s: 'a stream) : 'b stream = fun () -> Cons (f (head s), map f (tail s)) let rec filter (s: 'a stream) (f: 'a -> bool) : 'a stream = if f (head s) then fun () -> Cons (head s, filter (tail s) f) else filter (tail s) f let rec sieve (s: int stream) : int stream = fun () -> let h = head s in Cons (h, sieve (filter (tail s) (fun x -> x mod h <> 0))) let rec fromn (n: int) : int stream = fun () -> Cons (n, fromn (n + 1)) let rec fib n m : int stream = fun () -> Cons (n, fib m (n + m)) let even (x: int) : bool = x mod 2 = 0 let odd (x: int) : bool = x mod 2 <> 0 let squares : int stream = map (fun x -> x * x) (fromn 1) let fibs : int stream = let rec fib_aux a b : int stream = fun () -> Cons (a, fib_aux b (a + b)) in fib_aux 0 1 let evenFibs : int stream = filter fibs even let oddFibs : int stream = filter fibs odd let is_prime (n: int) : bool = let rec is_divisible k = k * k <= n && (n mod k = 0 || is_divisible (k + 1)) in n > 1 && not (is_divisible 2) let primes : int stream = filter (fromn 2) is_prime let zip (s1: 'a stream) (s2: 'b stream) (f: 'a -> 'b -> 'c) : ('c, 'a, 'b) stream = fun () -> let h1 = head s1 in let h2 = head s2 in Cons (f h1 h2, zip (tail s
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OCaml is general purpose programming language with more importance to safety and expressiveness. With it's advanced type system, it helps to catch the mistakes in an efficient way. Hence this is used to develop applications/environments where a single mistake can cost millions and speed matters. It has good community support and rich set of development tools and libraries.
Classification | Data types |
---|---|
Basic data types | integers, floating point numbers, booleans, characters, strings |
Sophisticated data types | tuples, arrays, lists, sets, hash tables, queues, stacks, data streams |
OCaml allows users to define new data types.
Variable is a name given to the storage area in order to manipulate them in our programs.
let varible-names = value
If is performed when you need to choose expression based on a boolean-condition.
if boolean-condition then (* code if condition is true *)
if boolean-condition then (* code if condition is true*) else (* code if condition is false*)
While is used to iterate a set of statements based on a condition. Usually while is preferred when number of iterations are not known in advance.
while boolean-condition do
(* code *)
done
For loop is used to iterate a set of statements for specific number of items.
for var = start-value to end-value do
(* code *)
done
for var = start-value downto end-value do
(* code *)
done