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44 lines (38 loc) · 1.22 KB
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//
// Created by Jonathan Hollocombe on 06/06/2016.
//
// This program is free software: you can redistribute it and/or modify
// it under the terms of the GNU General Public License as published by
// the Free Software Foundation, either version 3 of the License, or
// (at your option) any later version.
//
// This program is distributed in the hope that it will be useful,
// but WITHOUT ANY WARRANTY; without even the implied warranty of
// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
// GNU General Public License for more details.
//
// You should have received a copy of the GNU General Public License
// along with this program. If not, see <http://www.gnu.org/licenses/>.
//
#include <iostream>
constexpr double gen_pi()
{
const int N = 400;
int count = 0;
for (int i = 0; i < N; ++i) {
for (int j = 0; j < N; ++j) {
auto x = static_cast<double>(i) / N;
auto y = static_cast<double>(j) / N;
auto len = x*x + y*y;
if (len < 1) ++count;
}
}
return (count * 4.0) / (N * N);
}
constexpr auto PI = gen_pi();
int main()
{
static_assert(static_cast<int>(PI * 10) / 10.0 == 3.1, "");
std::cout << PI << std::endl;
return 0;
}