private static void Test3Inner(int multipleCount)
{
const int d = 8;
const int fieldOrder = 13;
var projectiveEdwardsCurve = new ProjectiveEdwardsCurve(d, fieldOrder);
var pointsFactory = new PointsFactory(projectiveEdwardsCurve);
var initialPoint = pointsFactory.CreatePoint(6, 12, 2);
var point1 = pointsFactory.CreatePoint(6, 12, 2);
var calculator = new ProjectiveEdwardsCurvePointCalculator();
for (var i = 0; i < multipleCount - 1; i++)
{
point1 = calculator.Sum(point1, initialPoint);
}
var point2 = calculator.Mult(multipleCount, initialPoint);
if (point1.Equals(point2))
{
Console.Write(".");
return;
}
throw new ArithmeticException("Точки, полученные сложением и умножение, отличаются при multipleCount = "
+ multipleCount);
}
private static void Test4()
{
BigInteger fieldOrder = BigInteger.Parse("73928303") * BigInteger.Parse("73928293");
BigInteger x = 3;
BigInteger y = 2;
BigInteger z = 1;
var d = ((x * x * z * z + y * y * z * z - z * z * z * z) * (x * x * y * y).Inverse(fieldOrder)).Mod(fieldOrder);
const int multipleCount = 73928303;
var projectiveEdwardsCurve = new ProjectiveEdwardsCurve(d, fieldOrder);
var pointsFactory = new PointsFactory(projectiveEdwardsCurve);
var calculator = new ProjectiveEdwardsCurvePointCalculator();
var initialPoint = pointsFactory.CreatePoint(x, y, z);
var point1 = pointsFactory.CreatePoint(x, y, z);
for (var i = 0; i < multipleCount - 1; i++)
{
point1 = calculator.Sum(point1, initialPoint);
var gcd = BigInteger.GreatestCommonDivisor(point1.ParameterZ, fieldOrder);
if (gcd != BigInteger.One)
{
Console.WriteLine("divider = " + gcd);
return;
}
// Console.WriteLine(point1);
// Console.WriteLine(point1.ToEdwardsCurvePoint());
}
}
private static void Test2()
{
const int d = 8;
const int fieldOrder = 13;
var projectiveEdwardsCurve = new ProjectiveEdwardsCurve(d, fieldOrder);
var pointsFactory = new PointsFactory(projectiveEdwardsCurve);
var point1 = pointsFactory.CreatePoint(6, 12, 2);
var point2 = projectiveEdwardsCurve.NeitralPoint;
var calculator = new ProjectiveEdwardsCurvePointCalculator();
var sum = calculator.Sum(point1, point2);
Console.WriteLine(sum);
Console.WriteLine(sum.ToEdwardsCurvePoint());
}
/// <summary> Тест на корректность суммирования </summary>
private static void Test1()
{
var d = 8;
var fieldOrder = 13;
var projectiveEdwardsCurve = new ProjectiveEdwardsCurve(d, fieldOrder);
var pointsFactory = new PointsFactory(projectiveEdwardsCurve);
var point1 = pointsFactory.CreatePoint(3, 6, 1);
var point2 = pointsFactory.CreatePoint(6, 3, 1);
var calculator = new ProjectiveEdwardsCurvePointCalculator();
var sum = calculator.Sum(point1, point2);
Console.WriteLine(sum);
Console.WriteLine(sum.ToEdwardsCurvePoint());
}