laba8.cpp - master - Vavanus228/Labi

laba8.cpp
75 строк2 KB
Vavanus228
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12 дек 2025, 00:07
12 дек 2025, 00:075e2ea29
#include<iostream>
#include<cmath>
#include<vector>
#include<iomanip>
using namespace std;

typedef double (*uf)(double, double, int&);

void tabl(double, double, double, double, uf);
double y(double, double, int&);
double s(double, double, int&);

int main() {
    double a, b, h, eps;
    setlocale(LC_ALL, "ru");
    cout << "������� a" << endl;
    cin >> a;
    cout << "������� b" << endl;
    cin >> b;
    cout << "������� h" << endl;
    cin >> h;
    cout << "������� eps" << endl;
    cin >> eps;
    cout << setw(8) << "x" << setw(15) << "y(x)" << setw(10) << "k" << endl;
    tabl(a, b, h, eps, y);
    cout << endl;
    cout << setw(8) << "x" << setw(15) << "s(x)" << setw(10) << "k" << endl;
    tabl(a, b, h, eps, s);
    return 0;
}
void tabl(double a, double b, double h, double eps, uf fun) {
    int k = 0;
    double sum;
    for (double x = a; x < b + h / 2; x += h) {
        if (fabs(x) < 1e-10) x = 0.0;
        sum = fun(x, eps, k);

        cout << setw(8) << x << setw(15) << sum << setw(10) << k << endl;
    }
}
double y(double x, double eps, int& k) {
    k = 0;
    if (x >= 1  x <= -1) {
        cout << "������: x ������ ���� � ��������� (-1, 1) ��� ����������� ����������" << endl;
        return 0;
    }

    return 0.25 * log((1 + x) / (1 - x)) - 0.5 * atan(x);

}
double s(double x, double eps, int& k) {
    double c, sum;
    if (x >= 1  x <= -1) {
        cout << "������: x ������ ���� � ��������� (-1, 1) ��� ���������� ����" << endl;
        k = 0;
        return 0;
    }
    c = pow(x, 3) / 3;
    sum = c;
    k = 1;

    while (fabs(c) > eps) {

        c = c * pow(x, 4) * (4 * k - 1) / (4 * k + 3);
        sum += c;
        k++;


        if (k > 1000) {
            cout << "��������� ������������ ���������� ��������!" << endl;
            break;
        }
    }
    return sum;
}