RosettaCodeData/Task/Bernoulli-numbers/C++/bernoulli-numbers.cpp

37 lines
1.2 KiB
C++

/**
* Configured with: --prefix=/Library/Developer/CommandLineTools/usr --with-gxx-include-dir=/usr/include/c++/4.2.1
* Apple LLVM version 9.1.0 (clang-902.0.39.1)
* Target: x86_64-apple-darwin17.5.0
* Thread model: posix
*/
#include <boost/multiprecision/cpp_int.hpp> // 1024bit precision
#include <boost/rational.hpp> // Rationals
#include <iostream> // formatting with std::cout
#include <vector> // Container
typedef boost::rational<boost::multiprecision::int1024_t> rational; // reduce boilerplate
rational bernoulli(size_t n) {
auto out = std::vector<rational>();
for (size_t m = 0; m <= n; m++) {
out.emplace_back(1, (m + 1)); // automatically constructs object
for (size_t j = m; j >= 1; j--) {
out[j - 1] = rational(j) * (out[j - 1] - out[j]);
}
}
return out[0];
}
int main() {
for (size_t n = 0; n <= 60; n += n >= 2 ? 2 : 1) {
auto b = bernoulli(n);
std::cout << "B(" << std::right << std::setw(2) << n << ") = ";
std::cout << std::right << std::setw(44) << b.numerator();
std::cout << " / " << b.denominator() << std::endl;
}
return 0;
}