Prime numbers - Sieve of Eratosthenes

Basic prime number generator

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open System
open System.Collections

let primes max = 
    let array = new BitArray(max, true);
    let lastp = Math.Sqrt(float max) |> int
    for p in 2..lastp+1 do
        if array.Get(p) then
            for pm in p*2..p..max-1 do
                array.Set(pm, false);
    seq { for i in 2..max-1 do if array.Get(i) then yield i }

namespace System

namespace System.Collections

val primes : max:int -> seq<int>

Full name: Script.primes

val max : int

Multiple items
val array : BitArray

--------------------
type 'T array = 'T []

Full name: Microsoft.FSharp.Core.array<_>

Multiple items
type BitArray =
  new : length:int -> BitArray + 5 overloads
  member And : value:BitArray -> BitArray
  member Clone : unit -> obj
  member CopyTo : array:Array * index:int -> unit
  member Count : int
  member Get : index:int -> bool
  member GetEnumerator : unit -> IEnumerator
  member IsReadOnly : bool
  member IsSynchronized : bool
  member Item : int -> bool with get, set
  ...

Full name: System.Collections.BitArray

--------------------
BitArray(length: int) : unit
BitArray(bytes: byte []) : unit
BitArray(values: bool []) : unit
BitArray(values: int []) : unit
BitArray(bits: BitArray) : unit
BitArray(length: int, defaultValue: bool) : unit

val lastp : int

type Math =
  static val PI : float
  static val E : float
  static member Abs : value:sbyte -> sbyte + 6 overloads
  static member Acos : d:float -> float
  static member Asin : d:float -> float
  static member Atan : d:float -> float
  static member Atan2 : y:float * x:float -> float
  static member BigMul : a:int * b:int -> int64
  static member Ceiling : d:decimal -> decimal + 1 overload
  static member Cos : d:float -> float
  ...

Full name: System.Math

Math.Sqrt(d: float) : float

Multiple items
val float : value:'T -> float (requires member op_Explicit)

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

--------------------
type float = Double

Full name: Microsoft.FSharp.Core.float

--------------------
type float<'Measure> = float

Full name: Microsoft.FSharp.Core.float<_>

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<_>

val p : int32

BitArray.Get(index: int) : bool

val pm : int32

BitArray.Set(index: int, value: bool) : unit

Multiple items
val seq : sequence:seq<'T> -> seq<'T>

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

--------------------
type seq<'T> = Generic.IEnumerable<'T>

Full name: Microsoft.FSharp.Collections.seq<_>

val i : int

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More information

Link:	http://fssnip.net/7D
Posted:	13 years ago
Author:	d95danb
Tags:	primes , math , eratosthenes