public double Simpson(double left, double right, int n)
{
sw.Start(); //Замеряем время решения!
object block = new object();
double result = 0;
void calculate(int part)
{
double width = (right - left) / (n);
double local_left = left + (right - left) * part / parts; //Console.WriteLine("{0} local_left = {1}", part, local_left);
double local_result = 0;
int steps = n / parts;
for (int step = 0; step < (n / parts); step++)
{
double x1 = local_left + step * width;
double x2 = local_left + (step + 1) * width;
local_result += (x2 - x1) / 6.0 * (function(x1) + 4.0 * function(0.5 * (x1 + x2)) + function(x2));
EventDraw?.Invoke(x1, x2, part); //для рисования метода симпсона
// donePercent += percentsDelta;
}
Monitor.Enter(block);
result += local_result;
Monitor.Exit(block);
}
Parallel.For(0, parts, calculate);
sw.Stop();
EventFinish?.Invoke(result, sw.ElapsedMilliseconds);
return(result);
}
public double Rectangular(double left, double right, int n)
{
sw.Start(); //Замеряем время
Random random = new Random();
double dt = (right - left) / n;
double result = 0;
int partsSize = (int)n / parts;
int reminder = n - partsSize * parts;
object block = new object();
void calculating(int part)
{
int start = part * partsSize + ((part < reminder) ? part : reminder);
int finish = (part + 1) * partsSize + ((part + 1 < reminder) ? part : (reminder - 1)); //Console.WriteLine("Для {0} потока начальный индекс - {1}, конечный - {2}", part, start, finish);
int percentsDelta = (int)(Math.Round((double)(100 / n))); //Console.WriteLine("{0}: Start - {1}, Finish - {2}, PercentDt - {3}",part, start, finish, percentsDelta);
double x = left + (start + 0.5) * dt;
double part_result = 0;
for (int i = start; i <= finish; i++)
{
part_result += function(x) * dt;
EventDraw?.Invoke(x, function(x), part);
x += dt;
}
Monitor.Enter(block);
result += part_result;
Monitor.Exit(block);
}
Parallel.For(0, parts, calculating);
sw.Stop();
EventFinish?.Invoke(result, sw.ElapsedMilliseconds);
return(result);
}
public double SimpsonI(double left, double right, int n)
{
sw.Start(); //Замеряем время
object block = new object();
double result = 0;
void calculate(int part)
{
int percents_step = 10;
double width = (right - left) / (n);
double local_left = left + (right - left) * part / parts;
Console.WriteLine("{0} local_left = {1}", part, local_left);
double local_result = 0;
int steps = n / parts;
int percentsDelta = (int)(Math.Round((double)(100 / n)));
for (int step = 0; step < steps; step++)
{
double x1 = local_left + step * width;
double x2 = local_left + (step + 1) * width;
local_result += (x2 - x1) / 6.0 * (function(x1) + 4.0 * function(0.5 * (x1 + x2)) + function(x2));
EventDraw?.Invoke(x1, x2, part);
donePercent += percentsDelta;
if (donePercent > percents_step)
{
EventProgress?.Invoke(donePercent);
percents_step += 10;
}
}
Monitor.Enter(block);
result += local_result;
Monitor.Exit(block);
}
Parallel.For(0, parts, calculate);
sw.Stop();
EventFinish?.Invoke(result, sw.ElapsedMilliseconds);
return(result);
}
public double Monte_Carlo(double left, double right, int throwsMultiplier, double sup, double inf, int strats_count)
{
sw.Start(); //Замеряем время
double dt = (right - left) / strats_count; //Console.WriteLine("dt: {0}", dt);
int throws = (int)(Math.Round((sup - inf) / dt)) * strats_count * throwsMultiplier; //Console.WriteLine("Всего будет сделано {0} бросков", throws);
double result = 0;
double partLength = (right - left) / parts;
int partsSize = strats_count / parts;
int reminder = strats_count - partsSize * parts;
object block = new object();
void calculating(int part)
{
int percentsDelta = throws / 100;
Random randomX = new Random(DateTime.Now.Millisecond * (part + 1));
Random randomY = new Random(DateTime.Now.Millisecond * (part + 2)); //Console.WriteLine("[Thread №{0}] Начаты вычисления в потоке...", part);
int count = 0; //Кол-во точек под графиком
int start = part * partsSize + ((part < reminder) ? part : reminder);
int finish = (part + 1) * partsSize + ((part + 1 < reminder) ? part : (reminder - 1)); //Console.WriteLine("[Thread №{0}] Задана область интегрирования: [{1}; {2}]x[{3}, {4}]", part, start*dt, finish*dt + dt, inf, sup);
double x_id = left + start * dt;
double y_id = inf;
for (int i = 0; i < throws / parts; i++)
{ //Console.WriteLine("[Thread №{0}] Страта - [{1}; {2}]x[{3}, {4}]", part, x_id, x_id + dt, y_id, y_id + dt);
double x = randomX.NextDouble() * dt + x_id; // Генерируем случайную точку в диапазоне (x_id + dx, y_id + dy)
double y = randomY.NextDouble() * dt + y_id;
if (i % 117 == 0)
{
EventDraw?.Invoke(x, y, part); //Проверяем вхождение точки в область под графиком
}
if (function(x) >= 0)
{
if (y <= function(x) && y >= 0)
{
count++;
}
}
else
{
if (y >= function(x) && y < 0)
{
count--; //Console.WriteLine("[{2}] ({1}) Y[{5}, {6}]", x, y, part, x_id, x_id + dx, y_id, y_id + dy);
}
} //Дальше Изменение области генерации
x_id += dt; //Сдвигаемся по Х
if (x_id > left + finish * dt) //При выходе за границу по Х
{
y_id += dt; //Поднимаемся на уровень выше
x_id = left + start * dt; //Возвращаемся на начальное значения Х
if (y_id >= sup)
{
y_id = inf; //При выходе за границу по Y и по Х начинаем сначала
}
}
if ((i) % (percentsDelta) == 0)
{
donePercent++;
EventProgress?.Invoke(donePercent);
}
} //Console.WriteLine("[Thread №{0}]: Кол-во попаданий = {1}\n" + "\t Всего бросков: {2}", part, count, throws / parts);
Monitor.Enter(block);
result += count;
Monitor.Exit(block);
}
Parallel.For(0, parts, calculating);
result = (result / throws) * (right - left) * (sup - inf);
sw.Stop(); // EventFinish?.Invoke(result, sw.ElapsedMilliseconds);
return(result);
}