Write a program to get an approximation of π - вопрос №10238765105 от sveta484 16.02.2022 21:55

Question

Информатика: Write a program to get an approximation of π with a precision of 10^(-5) using the following formula: π=4.0×(1-1/3+1/5-1/7+⋯+〖(-1)〗^(n-1) 1/(2n-1)) hints: initialize pi =0 and i=1 the absolute value of the adding item determines the precision you can get when putting more items to pi, thus adding item: 〖(-1)〗^(i-1) 1/(2i-1), then when abs(adding item) precision, update pi with pi += adding item

sveta484 · Answer

Собственно это вычисление числа Pi через ряд Лейбница:

#include <iostream>

using namespace std;

int main()

{

double pi = 0;

double sign = 1.;

const double eps = 1e-5;

int i = 0;

do

{

pi += sign / (2. * i + 1.);

sign = -sign;

i++;

} while (1. / (2. * i + 1.) > eps);

pi *= 4;

printf("pi=%10.5lf", pi);

return 0;

}