#include <iostream>
using namespace std;
double* przejscie(double*, double, double, int);
double licz(double*, double*, double, double, int);
double f(double);
void Calka_Dwuwezlowa();
void Calka_Czterowezlowa();
int main()
{
Calka_Dwuwezlowa();
Calka_Czterowezlowa();
cout << "\n\n";
system("pause");
return 0;
}
void Calka_Dwuwezlowa()
{
double a, b;
cout << "Podaj przedzial a: "; cin >> a;
cout << "Podaj przedzial b: "; cin >> b;
int n1 = 2;
double* tabDwuWezlowe = new double[n1];
tabDwuWezlowe[0] = 0.577350;
tabDwuWezlowe[1] = -0.577350;
double* tabAk2 = new double[n1];
tabAk2[0] = 1;
tabAk2[1] = 1;
double* tabT;
tabT = przejscie(tabDwuWezlowe, a, b, n1);
cout << "\nCalka dwuwezlowa: " << licz(tabT, tabAk2, a, b, n1);
}
void Calka_Czterowezlowa()
{
double a, b;
cout << "Podaj przedzial a: "; cin >> a;
cout << "Podaj przedzial b: "; cin >> b;
int n2 = 4;
double* tabCzteroWezlowe = new double[n2];
tabCzteroWezlowe[0] = -0.861136;
tabCzteroWezlowe[1] = -0.339981;
tabCzteroWezlowe[2] = 0.339981;
tabCzteroWezlowe[3] = 0.861136;
double* tabAk4 = new double[n2];
tabAk4[0] = 0.347855;
tabAk4[1] = 0.652145;
tabAk4[2] = 0.652145;
tabAk4[3] = 0.347855;
double* tabT;
tabT = przejscie(tabCzteroWezlowe, a, b, n2);
cout << "\nCalka czterowezlowa: " << licz(tabT, tabAk4, a, b, n2);
}
double* przejscie(double* tab, double a, double b, int n)
{
double tmp;
for (int i = 0; i<n; i++)
{
tmp = (a + b) / 2 + (b - a) / 2 * tab[i];
tab[i] = tmp;
}
return tab;
}
double licz(double* tab, double* Ak, double a, double b, int n)
{
double calka = 0;
for (int i = 0; i<n; i++)
calka += Ak[i] * f(tab[i]);
calka *= (b - a) / 2;
return calka;
}
double f(double x)
{
return 1 / x;
}
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