private static MyBigInteger Mod(MyBigInteger a, MyBigInteger b)
{
var result = Zero;
for (var i = a.Size - 1; i >= 0; i--)
{
result += Exp(a.GetByte(i), i);
var x = 0;
var left = 0;
var right = 10;
while (left <= right)
{
var middle = (left + right) >> 1;
var current = b * Exp((byte)middle, i);
if (current <= result)
{
x = middle;
left = middle + 1;
}
else
{
right = middle - 1;
}
}
result -= b * Exp((byte)x, i);
}
result.RemoveNulls();
result.Sign = a.Sign == b.Sign ? Sign.Plus : Sign.Minus;
return(result);
}
public static MyBigInteger ModPow(MyBigInteger value, MyBigInteger power,
MyBigInteger module)
{
var binaryValue = ConvertToBinary(power);
var arr = new MyBigInteger [binaryValue.Count];
arr[0] = value;
for (var i = 1; i < binaryValue.Count; i++)
{
arr[i] = arr[i - 1] * arr[i - 1] % module;
}
var multiplication = One;
var zero = Zero;
for (var j = 0; j < binaryValue.Count; j++)
{
if (binaryValue[j] > zero)
{
multiplication *= binaryValue[j] * arr[j];
}
}
return(multiplication % module);
}
private static int CompareSize(MyBigInteger a, MyBigInteger b)
{
if (a.Size < b.Size)
{
return(-1);
}
return(a.Size > b.Size ? 1 : CompareDigits(a, b));
}
public static MyBigInteger GetModInverse(MyBigInteger a, MyBigInteger n)
{
var gcd = Gcc(a, n, out var x, out var _);
if (gcd != One)
{
return(Zero);
}
return((x % n + n) % n);
}
public static Tuple <Tuple <MyBigInteger, MyBigInteger>, Tuple <MyBigInteger, MyBigInteger> > CreateKeys(
MyBigInteger p, MyBigInteger q, MyBigInteger e)
{
var n = p * q;
var fi = (p - MyBigInteger.One) * (q - MyBigInteger.One);
var publicKey = Tuple.Create(e, n);
var d = MyBigInteger.GetModInverse(e, fi) + fi;
var privateKey = Tuple.Create(d, n);
return(Tuple.Create(publicKey, privateKey));
}
private static int CompareSign(MyBigInteger a, MyBigInteger b, bool ignoreSign = false)
{
if (ignoreSign)
{
return(CompareSize(a, b));
}
if (a.Sign < b.Sign)
{
return(-1);
}
return(a.Sign > b.Sign ? 1 : CompareSize(a, b));
}
private static List <MyBigInteger> ConvertToBinary(MyBigInteger value)
{
var copy = new MyBigInteger(value.Sign, value._digits.ToList());
var two = new MyBigInteger(2);
var result = new List <MyBigInteger>();
while (!copy.IsZero)
{
result.Add(copy % two);
copy /= two;
}
return(result);
}
public static MyBigInteger Gcc(MyBigInteger number,
MyBigInteger modul, out MyBigInteger x,
out MyBigInteger y)
{
if (number.IsZero)
{
x = Zero;
y = One;
return(modul);
}
var d = Gcc(modul % number, number, out var x1, out var y1);
x = y1 - (modul / number) * x1;
y = x1;
return(d);
}
private static int CompareDigits(MyBigInteger a, MyBigInteger b)
{
var maxLength = Math.Max(a.Size, b.Size);
for (var i = maxLength; i >= 0; i--)
{
if (a.GetByte(i) < b.GetByte(i))
{
return(-1);
}
if (a.GetByte(i) > b.GetByte(i))
{
return(1);
}
}
return(0);
}
private static MyBigInteger Multiply(MyBigInteger a, MyBigInteger b)
{
var result = Zero;
for (var i = 0; i < a.Size; i++)
{
for (int j = 0, reduce = 0; (j < b.Size) || (reduce > 0); j++)
{
var sum = result.GetByte(i + j) + a.GetByte(i) * b.GetByte(j) + reduce;
result.SetByte(i + j, (byte)(sum % 10));
reduce = sum / 10;
}
}
result.Sign = a.Sign == b.Sign ? Sign.Plus : Sign.Minus;
return(result);
}
public static List <MyBigInteger> EncryptFile(string path)
{
var p = new MyBigInteger(5037569);
var q = new MyBigInteger(5810011);
var e = new MyBigInteger(65537);
var keys = RSA.CreateKeys(p, q, e);
var encrypted = new List <MyBigInteger>();
var text = System.IO.File.ReadAllText(@path).Split(' ');
foreach (var s in text)
{
var chars = s.ToCharArray();
encrypted.AddRange(chars.Select(c => RSA.Encrypt(new MyBigInteger(Convert.ToInt32(c)), keys.Item1)));
}
return(encrypted);
}
private static MyBigInteger Subtract(MyBigInteger a, MyBigInteger b)
{
var digits = new List <byte>();
var max = Zero;
var min = Zero;
var compare = Comparison(a, b, ignoreSign: true);
switch (compare)
{
case -1:
min = a;
max = b;
break;
case 0:
return(Zero);
case 1:
min = b;
max = a;
break;
}
var maxLength = Math.Max(a.Size, b.Size);
var reduce = 0;
for (var i = 0; i < maxLength; i++)
{
var sub = max.GetByte(i) - min.GetByte(i) - reduce;
if (sub < 0)
{
sub += 10;
reduce = 1;
}
else
{
reduce = 0;
}
digits.Add((byte)sub);
}
return(new MyBigInteger(max.Sign, digits));
}
private static MyBigInteger Add(MyBigInteger a, MyBigInteger b)
{
var digits = new List <byte>();
var maxLength = Math.Max(a.Size, b.Size);
var reduce = 0;
for (var i = 0; i < maxLength; i++)
{
var sum = (byte)(a.GetByte(i) + b.GetByte(i) + reduce);
reduce = sum / 10;
digits.Add((byte)(sum % 10));
}
if (reduce > 0)
{
digits.Add((byte)reduce);
}
return(new MyBigInteger(a.Sign, digits));
}
private static MyBigInteger Div(MyBigInteger a, MyBigInteger b)
{
var result = Zero;
var current = Zero;
for (var i = a.Size - 1; i >= 0; i--)
{
current += Exp(a.GetByte(i), i);
var x = 0;
var left = 0;
var right = 10;
while (left <= right)
{
var middle = (left + right) / 2;
var cur = b * Exp((byte)middle, i);
if (cur <= current)
{
x = middle;
left = middle + 1;
}
else
{
right = middle - 1;
}
}
result.SetByte(i, (byte)(x % 10));
var reduce = b * Exp((byte)x, i);
current = current - reduce;
}
result.RemoveNulls();
result.Sign = a.Sign == b.Sign ? Sign.Plus : Sign.Minus;
return(result);
}
private static int Comparison(MyBigInteger a, MyBigInteger b, bool ignoreSign = false) => CompareSign(a, b, ignoreSign);
public static MyBigInteger Decrypt(MyBigInteger data, Tuple <MyBigInteger, MyBigInteger> key)
{
return(MyBigInteger.ModPow(data, key.Item1, key.Item2));
}