open System
open System.IO
open System.Linq


//Чтение из файла. Умею читать первую строку одного файла
//let file = File.OpenText "Integral1.txt" // не тот файл, не там лежит
//let str = file.ReadLine()





let str = "2 3 0 1"
//let strings =  [ "1 5 0 2"; "2 3 0 1" ; "3 4 2 5" ]
let inter (string:string)  = //вычисление интеграла для этой строки
    let delSpace = string.Split(' ')
    let strToList (s:string[]) =
        [for c in s -> c]
    let makeList = strToList delSpace
    let rec takeEl numb (hd::tl) = if (numb > 1) then (takeEl (numb-1) tl) else(float hd)

    let numberCount ( s:string) =
        s.Split(' ').Length

    let count = numberCount string
    let degree = count - 2
    let degree' = float degree
    let num' num = float num
    let max =  (takeEl (count) makeList)
    let min =  (takeEl (count-1) makeList)

    let intergrate num = (1.0/(degree' - (num' num) + 1.0))   *  (takeEl num makeList)   *
                        (max**(degree' - (num' num) + 1.0)  - min **((degree' - (num' num) + 1.0) ) )//считаем интеграл
    let rec answer deg = if (deg > 0) then ((intergrate deg) + (answer (deg - 1))) else 0.0 //интеграл этого члена + интеграл остатка
    answer degree

let value = inter str
printfn "%A" (value)


(*let sleep1 =
    let file = File.OpenText "Integral2.txt"
    let a = file.ReadLine()
    let b = file.ReadLine()
    let c = file.ReadLine()
    [a,b,c]

let sleep2 =
    let file = File.OpenText "Integral3.txt"
    let a = file.ReadLine()
    let b = file.ReadLine()
    let c = file.ReadLine()
    [a,b,c]
    *)
let ReadAndCalc (name)  =
    let lines =  File.ReadLines(name) |> Seq.toList
    let calc =   [for i in lines -> async { return  (inter i)}]
    Async.RunSynchronously (Async.Parallel calc)

let Open =
    let files = ["Integral1.txt"; "Integral2.txt"; "Integral3.txt"]
    let calc = [for i in files -> async {return (ReadAndCalc i)}]
    Async.RunSynchronously (Async.Parallel calc)
printfn "%A" Open
(*printfn "%A" (intergrate 1)
printfn "%A" (takeEl 1 makeList)
printfn "max = %A" (takeEl (count) makeList)
printfn "min = %A" (takeEl (count-1) makeList)
printfn "%A" ((1.0/(degree' - (num' degree) + 1.0)))
printfn "%A" (answer degree)
printfn "%A"  ((degree' - (num' degree)+ 1.0))
*)

(*
let file1 = File.OpenText "Integral1.txt"
let file2 = File.OpenText "Integral2.txt"
let file3 = File.OpenText "Integral3.txt"*)
//let files = ["Integral1.txt", "Integral2.txt", "Integral3.txt"] |> Seq.toList