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Checking for perfect squares

An implementation of John D. Cook's algorithm for fast-finding perfect squares: http://www.johndcook.com/blog/2008/11/17/fast-way-to-test-whether-a-number-is-a-square/

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let perfectSquare n =
    let h = n &&& 0xF
    if (h > 9) then false
    else
        if ( h <> 2 && h <> 3 && h <> 5 && h <> 6 && h <> 7 && h <> 8 ) then
            let t = ((n |> double |> sqrt) + 0.5) |> floor|> int
            t*t = n
        else false
val perfectSquare : n:int -> bool

Full name: Script.perfectSquare
val n : int
val h : int
val t : int
Multiple items
val double : value:'T -> float (requires member op_Explicit)

Full name: Microsoft.FSharp.Core.ExtraTopLevelOperators.double

--------------------
type double = System.Double

Full name: Microsoft.FSharp.Core.double
val sqrt : value:'T -> 'U (requires member Sqrt)

Full name: Microsoft.FSharp.Core.Operators.sqrt
val floor : value:'T -> 'T (requires member Floor)

Full name: Microsoft.FSharp.Core.Operators.floor
Multiple items
val int : value:'T -> int (requires member op_Explicit)

Full name: Microsoft.FSharp.Core.Operators.int

--------------------
type int = int32

Full name: Microsoft.FSharp.Core.int

--------------------
type int<'Measure> = int

Full name: Microsoft.FSharp.Core.int<_>
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More information

Link:http://fssnip.net/dn
Posted:11 years ago
Author:Kit Eason
Tags: math