// This is a comment for a sample hello world program.
printfn "Hello World!"

/// This is a documentation comment for a type definition.
type Person(name : string, age : int) =
    member x.Name = name
    member x.Age = age
    
/// class instantiation
let mrSmith = Person("Smith", 42)

/// Using pattern matching expression
let rec factorial n =
    match n with
    | 0 -> 1
    | _ -> n * factorial (n - 1)

/// For a single-argument functions there is syntactic sugar (pattern matching function):
let rec factorial = function 
    | 0 -> 1 
    | n -> n * factorial (n - 1)
    
/// Using fold and range operator
let factorial n = [1..n] |> Seq.fold (*) 1

/// Iteration using a 'for' loop
let printList lst = 
    for x in lst do
        printfn "%d" x

/// Iteration using a higher-order function
let printList2 lst = 
    List.iter (printfn "%d") lst

/// Iteration using a recursive function and pattern matching
let rec printList3 lst =
    match lst with
    | [] -> ()
    | h :: t ->
        printfn "%d" h
        printList3 t

/// Fibonacci Number formula
let fib n =
    let rec g n f0 f1 =
        match n with
        | 0 -> f0
        | 1 -> f1
        | _ -> g (n - 1) f1 (f0 + f1)
    g n 0 1

/// Another approach - a lazy infinite sequence of Fibonacci numbers
let fibSeq = Seq.unfold (fun (a,b) -> Some(a+b, (b, a+b))) (0,1)

// Print even fibs
[1 .. 10]
|> List.map     fib
|> List.filter  (fun n -> (n % 2) = 0)
|> printList

// Same thing, using a list expression
[ for i in 1..10 do
    let r = fib i
    if r % 2 = 0 then yield r ]
|> printList

// Open the Windows Forms library
open System.Windows.Forms

// Create a window and set a few properties
let form = new Form(Visible=true, TopMost=true, Text="Welcome to F#")

// Create a label to show some text in the form
let label =
    let x = 3 + (4 * 5)
    new Label(Text = sprintf "x = %d" x)

// Add the label to the form
form.Controls.Add(label)

// Finally, run the form
[<System.STAThread>]
Application.Run(form)

/// A simple prime number detector
let isPrime (n:int) =
   let bound = int (sqrt (float n))
   seq {2 .. bound} |> Seq.forall (fun x -> n % x <> 0)

// We are using async workflows
let primeAsync n =
    async { return (n, isPrime n) }

/// Return primes between m and n using multiple threads
let primes m n =
    seq {m .. n}
        |> Seq.map primeAsync
        |> Async.Parallel
        |> Async.RunSynchronously
        |> Array.filter snd
        |> Array.map fst

// Run a test
primes 1000000 1002000
    |> Array.iter (printfn "%d")