public void EuclideanLCM()
{
int first = 12, second = 6;
Euclidean euclideanCalculator = new Euclidean();
int lcm = euclideanCalculator.CalculateLCM(first, second);
Assert.AreEqual<int>(12, lcm);
}
public void EuclideanGCD()
{
int first = 12, second = 6;
Euclidean euclideanCalculator = new Euclidean();
int gcd = euclideanCalculator.CalculateGCD(first, second);
Assert.AreEqual<int>(6,gcd);
}
private BigInteger FindE(int size)
{
BigInteger e = Generate.BigInt(size) % Fi_N;
while (Euclidean.Simple(e, Fi_N) != 1)
{
e--;
}
return(e);
}
private BigInteger FindD(int size)
{
BigInteger d = Euclidean.Extended(Fi_N, E)[2];
if (d > 0)
{
return(d);
}
else
{
return(d + Fi_N);
}
}
public static BigInteger Solve(BigInteger c, BigInteger d, BigInteger p, BigInteger q)
{
var c_1 = BigInteger.ModPow(c, BigInteger.ModPow(d, 1, p - 1), p);
var c_2 = BigInteger.ModPow(c, BigInteger.ModPow(d, 1, q - 1), q);
var M = p * q;
var M_1 = M / p;
var M_2 = M / q;
Console.WriteLine($"c1: {c_1}\nc2: {c_2}\nM: {M}\nM1: {M_1}\nM2: {M_2}\n");
var y_1 = Euclidean.Extended(M_1, M_2)[1];
var y_2 = Euclidean.Extended(M_1, M_2)[2];
Console.WriteLine($"y1: {y_1}\ny2:{y_2}\n");
var m = BigInteger.ModPow(c_1 * y_1 * M_1 + c_2 * y_2 * M_2, 1, M);
Console.WriteLine(m);
return(m);
}
public static bool IsPrime(BigInteger number)
{
// handle evens
if (number == 2)
{
return(true);
}
else if (number % 2 == 0)
{
return(false);
}
// get S
var S = 1;
while (((number - 1) % BigInteger.Pow(2, ++S)) == 0)
{
;
}
S--;
// get d
var d = (number - 1) / BigInteger.Pow(2, S);
//Console.WriteLine($"{S}, {d}");
Random rnd = new Random();
int randomBase;
// repeat 8 times to be sure :)
for (int i = 0; i < 8; i++)
{
// get random base that meets gcd(b,n)=1 condition
do
{
randomBase = rnd.Next();
} while (Euclidean.Simple(randomBase, number) != 1);
if (FastModExponentiation.DoModPow(randomBase, d, number) != 1)
{
bool existR = false;
for (int r = 0; r < S; r++)
{
if (FastModExponentiation.DoModPow(randomBase, d * (BigInteger.Pow(2, r)), number) == number - 1)
{
existR = true;
break;
}
}
if (existR)
{
continue;
}
}
else
{
continue;
}
return(false);
}
return(true);
}