Lab04 by Zaikov

main.cpp

#include <math.h>
#include <windows.h>
#include <iostream>
using namespace std;

ostream& operator <<(ostream& os, const char *out)
{
char *chbuff = new char[strlen(out) + 1];
CharToOem(out, chbuff);
cout.write(chbuff, strlen(out));
delete [] chbuff;
return os;
}
ostream& operator <<(ostream& os, const string& out)
{
char *chbuff = new char[out.length() + 1];
CharToOem(out.c_str(), chbuff);
cout.write(chbuff, out.length());
delete [] chbuff;
return os;
}
double Fx(double x) 
{
	return x - cos(x);
}
double pFx(double x)
{
	return 1 + sin(x);
}
double Toch()
{
	double eps;
	cout << "С Какой Точностью Выполнить Вычисления?\n 1- eps=0,000001\n 2- eps=0,00000001\n";
	do
	{
		cin >> eps;
	} while(eps != 1 && eps!= 2);
	return eps == 1 ? 0.00000001 : 0.000001;
}
void Inter()
{				
	double x=0, eps=0;
	short chi=0;
	eps=Toch();
	while(abs(Fx(x))>=eps)
	{
		x=x-Fx(x);
		chi=chi+1;
	}
	cout << "X=" << x << endl;
	cout << "Количество Шагов " << chi << endl;
}
void Newton()
{
	double x=0, eps=0;
	short chi=0;
	eps=Toch();
	while(abs(Fx(x))>=eps)
	{
		x=x-Fx(x)/pFx(x);
		chi=chi+1;
	}
cout << "X=" << x << endl;
cout << "Количество Шагов " << chi << endl;
}
void Polovin()
{
	double x1=0, x2=2, x3=0, eps=0;
	short chi=0;
	eps=Toch();
	while(abs(Fx(x3))>=eps)
	{
		x3=x1+(x2-x1)/2;
		if(abs(Fx(x3))>=eps)
		{
			if(Fx(x1)*Fx(x3)<0)
			{
				x2=x3;
			}
			if(Fx(x3)*Fx(x2)<0)
			{
				x1=x3;
			}
		}
		chi=chi+1;
	}
cout << "X=" << x3 << endl;
cout << "Количество Шагов " << chi << endl;
}
int main()
{
	short ch;
	char pov;
	do
	{
		cout << "Каим Способом Выполнить Вычисления?(1-3)\n 1- Метод Простой Интерации\n 2- Метод Ньютона\n 3- Метод Половинного Деления\n";
		cin >> ch;
		if(ch<1 || ch>3)
		{
			cout << "Ошибка Ввода!";
		}else{
			if(ch == 1)
			{
				Inter();
			}
			if(ch == 2)
			{
				Newton();
			}
			if(ch == 3)
			{
				Polovin();
			}
		} 
			cout << "\n Повторить? (Y/N)  ";
			cin >> pov;
			if(pov == 'Y' || pov == 'y' || pov == 'N' || pov =='n')
			{
				if(pov == 'Y' || pov == 'y')
				{
					cout << "\n Перезапускаем Программу\n\n";
				}
				if(pov == 'N' || pov =='n')
				{
					cout << "\n Закрываем Программу\n\n";
				}
			}else{
				cout << "\n Ошибка Ввода!\n\n";
			}
	} while (pov=='y' || pov =='Y');
	system("pause");
	return 0;
}