public PointOfEC(PointOfEC p)
{
EllepticCurve = p.EllepticCurve;
X = p.X;
Y = p.Y;
IsInfinity = p.IsInfinity;
}
/// <summary> Количество точек </summary>
public static void CountPoints()
{
BigInteger n = BigInteger.Parse("123456789");
var ec = new EllepticCurve(5, -5, n);
var count = ec.CountPoints;
}
/// <summary>
/// Возвращает объект LenstraFactorizationResult,
/// если находится какое-то число, то все осатльные потоки прекращаются
/// </summary>
/// <param name="n">Число, у которого требуется найти делитель</param>
/// <param name="token">Токен отмены</param>
public LenstraFactorizationResult GetDividerWithCancel(BigInteger n, Random random, CancellationToken token)
{
var startTime = DateTime.Now;
BigInteger g, x, y, a, b;
int k = 0;
do
{
x = BigIntegerExtensions.GetNextRandom(random, n);
y = BigIntegerExtensions.GetNextRandom(random, n);
a = BigIntegerExtensions.GetNextRandom(random, n);
k++;
b = ExtraBigIntegerExtensions.Mod(y * y - x * x * x - a * x, n);
g = BigInteger.GreatestCommonDivisor(n, 4 * a * a * a + 27 * b * b);
} while (g == n);
EllepticCurve ec = null;
try
{
if (g != 1)
{
throw new GcdFoundException(g);
}
ec = new EllepticCurve(a, b, n);
var p0 = new PointOfEC
{
EllepticCurve = ec,
X = x,
Y = y
};
ec.LenstraStartingPoint = p0;
var P = new PointOfEC(p0);
BigInteger p = 2;
while (p < B1 && !token.IsCancellationRequested)
{
var pr = p;
while (pr < B1)
{
P = ec.Mult(p, P);
pr *= p;
}
p = BigIntegerExtensions.NextPrimaryMillerRabin(p);
}
}
catch (GcdFoundException exc)
{
Console.WriteLine("Поток {0} молодец: {1} = {2} * {3}",
Task.CurrentId, n, exc.GreatestCommonDivisor, n / exc.GreatestCommonDivisor);
return(new LenstraFactorizationResult
{
EllepticCurve = ec,
TargetNumber = n,
Divider = exc.GreatestCommonDivisor,
WastedTime = DateTime.Now - startTime
});
}
if (token.IsCancellationRequested)
{
Console.WriteLine("Поток {0} остановлен", Task.CurrentId);
}
else
{
Console.WriteLine("Поток {0} не смог", Task.CurrentId);
}
return(new LenstraFactorizationResult
{
EllepticCurve = ec,
TargetNumber = n,
WastedTime = DateTime.Now - startTime
});
}
/// <summary> Возвращает объект LenstraFactorizationResult </summary>
/// <param name="n">Число, у которого требуется найти делитель</param>
public LenstraFactorizationResult GetDivider(BigInteger n, Random random)
{
var startTime = DateTime.Now;
BigInteger g, x, y, a, b;
int k = 0;
do
{
x = BigIntegerExtensions.GetNextRandom(random, n);
y = BigIntegerExtensions.GetNextRandom(random, n);
a = BigIntegerExtensions.GetNextRandom(random, n);
k++;
b = ExtraBigIntegerExtensions.Mod(y * y - x * x * x - a * x, n);
g = BigInteger.GreatestCommonDivisor(n, 4 * a * a * a + 27 * b * b);
} while (g == n);
//убираем влияние выбора рандомного числа на время работы алгоритма
//startTime = startTime + new TimeSpan(0, 0, 0, k*3);
EllepticCurve ec = null;
try
{
if (g != 1)
{
throw new GcdFoundException(g);
}
ec = new EllepticCurve(a, b, n);
var p0 = new PointOfEC
{
EllepticCurve = ec,
X = x,
Y = y
};
ec.LenstraStartingPoint = p0;
var P = new PointOfEC(p0);
BigInteger p = 2;
while (p < B1)
{
var pr = p;
while (pr < B1)
{
P = ec.Mult(p, P);
pr *= p;
}
p = BigIntegerExtensions.NextPrimaryMillerRabin(p);
}
}
catch (GcdFoundException exc)
{
Console.WriteLine("Поток {0} молодец: {1} = {2} * {3}",
Task.CurrentId, n, exc.GreatestCommonDivisor, n / exc.GreatestCommonDivisor);
return(new LenstraFactorizationResult
{
EllepticCurve = ec,
TargetNumber = n,
Divider = exc.GreatestCommonDivisor,
WastedTime = DateTime.Now - startTime
});
}
return(new LenstraFactorizationResult
{
EllepticCurve = ec,
TargetNumber = n,
WastedTime = DateTime.Now - startTime
});
}
