#include"stdafx.h"
#include<conio.h>
#include<vector>
#include<clocale>
#include<iostream>
#include<math.h>

using namespace std;
double func(double x, double eps)
{
    double sum = x;
    long n = 1;
    double fn = pow(x, 3) / 6.0;
    while (eps < fabs(fn))
    {
        sum += fn;
        n += 1;
        fn *= (2 * n - 1) * (2 * n - 1) * x * x;
        fn /= 2 * n * (2 * n + 1);
    }
    return sum;
}
int main()
{
    setlocale(LC_CTYPE, "Rus");
    system("title Ряд Тейлора, практична робота №1");
    char null[] = " ";
    double x, fx, dx = 0.1, xn = 0, xk = 0, eps = 0.001;

    cout << "Введите xn: ";
    cin >> xn;
    if (xn < -1 || xn > 1 || xn < xk)
    {
        cout << "Тригонометрическая ошибка." << endl;
        return(0);
    }
    cout << "Введите xk: ";
    cin >> xk;
    if (xk < xn || xk > 1 || xk < -1)
    {
        cout << "Тригонометрическая ошибка." << endl;
        return(0);
    }
    cout << "|-----------------------------------------------|" << endl;
    cout << "|\t\t x \t| \t asin           |" << endl;
    cout << "|-----------------------------------------------|" << endl;
    for (x = xn; x <= xk; x += dx)
    {
        fx = func(x, eps);
        if (x < -1){
            null[0] = '\0';
        }else{
            null[0] = ' ';
            printf("\t %s%.4f\t|\t%s%.4f\n", null, x, null, asin(fx));

        }
    }
    cout << "|-----------------------------------------------|"  << endl;
    system("pause");
    return 0;
}