public static BigInteger2 getProbablePrime(int n)
{
BigInteger2 num = new BigInteger2(n);
BigInteger2 zero = BigInteger2.Zero();
BigInteger2 temp = new BigInteger2(1, 0);
BigInteger2 nem = ((BigInteger2)num.Clone()) + BigInteger2.T50();
bool success = true;
int ni = 0;
while (true)
{
ni++;
Console.Out.WriteLine(ni);
if (num < nem || num == nem)
{
foreach (int i in mySet)
{
bool[] val = BigInteger2.ConvertToBinary(i, 11);
bool[] t = new bool[val.Length];
for (int x = 0; x < val.Length; x++)
{
t[x] = (val[x] ? true : false);
}
temp.bitlength = t;
if (BigIntegerExtensions.DivideBy(num, temp)[1] == zero)
{
success = false;
break;
}
}
}
if (success && BigIntegerExtensions.MillerRabinIsPrime(num))
{
break;
}
if (num == nem)
{
success = true;
var skip = DateTime.Now.Millisecond % 5;
switch (skip)
{
case 0:
num = num + BigInteger2.TWO();
nem = nem + BigInteger2.T50();
break;
case 1:
num = num + BigInteger2.FOUR();
nem = nem + BigInteger2.T100();
break;
case 2:
num = num + BigInteger2.T16();
nem = nem + BigInteger2.T100();
break;
case 3:
num = num + BigInteger2.T32();
nem = nem + BigInteger2.T100();
break;
case 4:
num = num + BigInteger2.T50();
nem = nem + BigInteger2.T100();
break;
}
}
else
{
success = true;
num = num + BigInteger2.TWO();
}
}
return(num);
}
public static BigInteger2 inverseMod(BigInteger2 numbe, BigInteger2 modf)
{
//Check to see that gcd is 1 before proceeding: gcd(numbe,modf)=1
ArrayList factors2 = new ArrayList();
int count = 0;
BigInteger2 NUM = (BigInteger2)numbe.Clone();
BigInteger2 MOD = (BigInteger2)modf.Clone();
bool foundInverse = true;
while (true)
{
BigInteger2[] temp = BigIntegerExtensions.DivideBy(modf, numbe);
Factors2 x = new Factors2();
x.Mod = modf;
x.fMod = (BigInteger2)BigInteger2.ONE().Clone();
x.fnumb = BigInteger2.NegateZeros((BigInteger2)temp[0].Clone());
x.fnumb.bitlength[0] = true;
if (count == 0)
{
factors2.Add(x); //added only in first instance
}
count++; //iteration number
//Look up for previous remainder for factor substitution in x:
if (count == 2)
{
Factors2 prevx = (Factors2)factors2[0];
//Check for Factors2 to incorporate!!
Factors2 tmpResolve = new Factors2();
Factors2 resCurr = new Factors2();
resCurr.fnumb = BigInteger2.NegateZeros(BigIntegerExtensions.Multiply(x.fnumb, prevx.fnumb));
resCurr.fMod = BigInteger2.NegateZeros(BigIntegerExtensions.Multiply(x.fnumb, prevx.fMod));
tmpResolve.fnumb = x.fMod + resCurr.fnumb;
tmpResolve.fMod = resCurr.fMod;
factors2.Add(tmpResolve);
}
if (count > 2)
{
Factors2 prev2Back = (Factors2)factors2[factors2.Count - 2];
Factors2 prevBack = (Factors2)factors2[factors2.Count - 1];
Factors2 resCurr = new Factors2();
resCurr.fnumb = BigInteger2.NegateZeros(BigIntegerExtensions.Multiply(x.fnumb, prevBack.fnumb));
resCurr.fMod = BigInteger2.NegateZeros(BigIntegerExtensions.Multiply(x.fnumb, prevBack.fMod));
resCurr.fnumb = prev2Back.fnumb + resCurr.fnumb;
resCurr.fMod = prev2Back.fMod + resCurr.fMod;
factors2.Add(resCurr);
}
if (temp[1] == BigInteger2.ONE())
{
break;
}
if (temp[1] == new BigInteger2(1, 0))
{
foundInverse = false;
break;
}
modf = (BigInteger2)numbe.Clone();
numbe = (BigInteger2)temp[1].Clone();
}
if (!foundInverse)
{
return(new BigInteger2(1, 0));
}
//Calculate inverse mod
Factors2 result = (Factors2)factors2[count - 1];
BigInteger2 invres = result.fnumb;
if (!invres.bitlength[0])
{
return((BigIntegerExtensions.DivideBy(invres, MOD))[1]); //if invres is positive
}
else // invres is negative
{
invres.bitlength[0] = false;
if (invres < MOD)
{
return(BigInteger2.NegateZeros(MOD - invres));
}
else
{
BigInteger2 test = BigIntegerExtensions.DivideBy(invres, MOD)[0] + BigInteger2.ONE();
return(BigInteger2.NegateZeros(BigIntegerExtensions.Multiply(test, MOD) - MOD));
}
}
}
//MillerRabinTest
public static bool MillerRabinIsPrime(BigInteger2 numb)
{
//Use Rabin's Test suite a.modPower(d,numb)== 1 : then numb is prime else numb composite
BigInteger2 n = (BigInteger2)numb.Clone();
BigInteger2 numbLess1 = n - BigInteger2.ONE();
BigInteger2[] testSuite = new BigInteger2[3];
//Fill testSuite with BigInteger2 values:
//Including 5, 11, and 61
testSuite[0] = new BigInteger2(1, 0);
testSuite[0].bitlength = BigInteger2.ConvertToBinary(61, 6);
testSuite[1] = new BigInteger2(1, 0);
testSuite[1].bitlength = BigInteger2.ConvertToBinary(31, 6);
testSuite[2] = new BigInteger2(1, 0);
testSuite[2].bitlength = BigInteger2.ConvertToBinary(11, 4);
// Determine two.power(r) factor of q:
// By: using q is least set bit referenced from zero
int i = 0, j = 0;
for (i = numbLess1.bitlength.Length - 1, j = 0; i >= 2; i--, j++)
{
if (numbLess1.bitlength[i])
{
break;
}
}
//Console.Out.WriteLine("j: {0}", j.ToString());
//Form component two.power(r) = twoPowerR
BigInteger2 twoPowerS = BigInteger2.TWO().power(j);
//Calculate d:
BigInteger2 d = BigIntegerExtensions.DivideBy(numbLess1, twoPowerS)[0];
//Use testSuite to eliminate Composites:
bool isPrime = true;
foreach (BigInteger2 integer in testSuite)
{
bool prime = false;
BigInteger2 result = BigIntegerExtensions.modPower(integer, d, numb);
if (result == BigInteger2.ONE())
{
prime = true;
continue;
}
else
{
for (i = 0; i < j; i++)
{
if ((numb - result) == BigInteger2.ONE())
{
prime = true;
break;
}
result = BigIntegerExtensions.modPower(result, BigInteger2.TWO(), numb);
}
if (prime)
{
continue;
}
else
{
isPrime = false;
break;
}
}
}
return(isPrime);
}
