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NumericalAnalysisModule/1 - Numerical Series Approximation/source/Question3.cpp
2019-08-28 16:50:10 +01:00

32 lines
610 B
C++

#include <iostream>
#include <cmath>
#include <numeric>
#include <ios>
#include <cstdlib>
double compute_serie_3_term(unsigned long n) {
return -((double)(2*n+1))/(double)(2*n+3);
}
double compute_serie_3(double err) {
unsigned long k = 0;
double ak = 1;
double acc = 1;
while (err < 4*std::abs(ak)) {
ak *= compute_serie_3_term(k++);
acc += ak;
}
std::cout << k << " " << 4*acc << " " << std::abs(3.14159265358979324$$ - 4*acc) << '\n';
return 4*acc;
}
int main(int, char **argv) {
const double err = std::pow(10.0, -std::atof(argv[1]));
std::cout.precision(17);
compute_serie_3(err);
}