Random Snippets.

May 1st, 2010
by Serinox

Here are some random snippets of f# code I had lying around. mostly simple stuff for basic stats calculations. Not the most complex stuff but maybe its useful to somebody trying to learn f#.

// Learn more about F# at http://fsharp.net
open System
open System.Net

//basic arithmetic mean
let Mean (x:List<float>) =
    let sum = x |> Seq.sum
    let items = x |>Seq.length
    sum / (float items)

//basic variance method
let Variance x =
    let m = Mean x
    let deviation =
        x
        |> Seq.map (fun x -> Math.Pow((x-m), 2.))
        |> Seq.toList
    Mean deviation

//Calculates standard deviation using above variance method
let StandardDeviation x =
    Math.Sqrt(Variance x)

//recursively calculates the factorial of x
//will overflow long before running into recursion limits
//at larger values it will wrap back around to 0
let rec Factorial x =
    if x = 0I then
        1I
    else
        x * Factorial(x-1I)

//calculates combinations
let Combinations n r =
    (Factorial n)/ ((Factorial r)*(Factorial (n-r)))

//calculates permutations
let Permutations n r =
    (Factorial n)/ (Factorial (n-r))

//uses Euclids formula for the greatest common divisor
let rec GCD a b =
    if b = 0UL then
        a
    else
        GCD b (a%b)

//returns an array representing the binary version of x
let toBinary (x:uint64) =
    let rec con (x:uint64) r =
        if x = 0UL then
            r
        else
            con (x/2UL) ([x%2UL] @ r)
    con x []

// gets ticker price using yahoo
let GetTickerPrice (ticker:string) =
    let url =
        "http://download.finance.yahoo.com/d/quotes.csv?s="+
        ticker+
        "&f=sl1d1t1c1ohgv&e=.csv"
    let wc = new WebClient()
    let info = wc.DownloadString(url).Split([|','|])
    float info.[1] // info.[1] is the current price will return 0.0 on invalid ticker

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