Created
March 15, 2019 09:54
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let getPrimes (str:string)= | |
let one=BigInteger.One | |
let two=new BigInteger(2) | |
let zero=BigInteger.Zero | |
let decomposePq(n: BigInteger): (BigInteger* BigInteger) = | |
let f(x: BigInteger, c: BigInteger):BigInteger = ((x * x) % n + c) % n | |
let rec rho(x: BigInteger, y: BigInteger, g: BigInteger, c: BigInteger): BigInteger = | |
if (g.Equals(one)) then | |
let xx = f(x, c) | |
let yy = f(f(y, c), c) | |
let gg = BigInteger.GreatestCommonDivisor(n,BigInteger.Abs(xx - yy)) | |
rho(xx, yy, gg, c) | |
else g | |
let p = | |
if (n % two = zero) then two | |
else | |
let count=n.GetByteCount() | |
let c = BigInteger.Abs(rndBigInt count) | |
let x = BigInteger.Abs(rndBigInt count) | |
rho(x, x, one, c) | |
let q = n / p | |
if (q > p) then (p, q) else (q, p) | |
decomposePq (BigInteger.Abs(BigInteger(Encoding.UTF8.GetBytes(str)))) |
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