/// <summary>
/// Умножить точку на число на эллиптической кривой
/// </summary>
/// <param name="value1">Точка на эллиптической кривой</param>
/// <param name="value2">Множитель к точке</param>
/// <returns></returns>
public IEllipticCurvePoint Multiply(IntBig value2)
{
EllipticCurvePointB tempPoint = null;
// Массив значений для этапа "предвычислений"
// !!!!!!!!!!!!!!Занимательная задачка: надо подумать над графом вычислений, ибо почти стопроцентная уверенность, что не все значения массива понадобятся... Налицо оптимизация
EllipticCurvePointB[] points = new EllipticCurvePointB[16];
points[0] = GetInfinity() as EllipticCurvePointB;
points[1] = this;
points[2] = points[1].Doubling() as EllipticCurvePointB;
points[3] = points[1].Addition(points[2]) as EllipticCurvePointB;
points[4] = points[2].Doubling() as EllipticCurvePointB;
points[5] = points[1].Addition(points[4]) as EllipticCurvePointB;
points[6] = points[3].Doubling() as EllipticCurvePointB;
points[7] = points[1].Addition(points[6]) as EllipticCurvePointB;
points[8] = points[4].Doubling() as EllipticCurvePointB;
points[9] = points[1].Addition(points[8]) as EllipticCurvePointB;
points[10] = points[5].Doubling() as EllipticCurvePointB;
points[11] = points[1].Addition(points[10]) as EllipticCurvePointB;
points[12] = points[6].Doubling() as EllipticCurvePointB;
points[13] = points[1].Addition(points[12]) as EllipticCurvePointB;
points[14] = points[7].Doubling() as EllipticCurvePointB;
points[15] = points[1].Addition(points[14]) as EllipticCurvePointB;
// Начальный индекс множителя, от него начинается движение по двоичному представлению большого числа
int index = BigHelper.MaxNonZeroBitIndex(value2.m_Value);
int howManyDouble = 0;
int howMuchAdd = 0;
//if (index < 0)
// break;
index = GetWindow(value2, index, out howManyDouble, out howMuchAdd);
tempPoint = points[howMuchAdd];
while (true)
{
if (index < 0)
{
break;
}
index = GetWindow(value2, index, out howManyDouble, out howMuchAdd);
if (howManyDouble > 0)
{
for (int t = 0; t < howManyDouble; ++t)
{
tempPoint = tempPoint.Doubling() as EllipticCurvePointB;
}
}
if (howMuchAdd > 0)
{
tempPoint = tempPoint.Addition(points[howMuchAdd]) as EllipticCurvePointB;
}
}
return(tempPoint);
}
/// <summary>
/// Удвоить точку на кривой
/// </summary>
/// <param name="value"></param>
/// <returns></returns>
public static EllipticCurvePointB Doubling(EllipticCurvePointB value)
{
return(value.Doubling() as EllipticCurvePointB);
}