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1// (C) Copyright Nick Thompson 2020.
2// Use, modification and distribution are subject to the
3// Boost Software License, Version 1.0. (See accompanying file
4// LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
1e59de90 5#include <cmath>
20effc67 6#include <iostream>
1e59de90 7#include <iomanip>
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8#include <boost/math/tools/agm.hpp>
9#include <boost/math/constants/constants.hpp>
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10
11#ifndef BOOST_MATH_STANDALONE
20effc67 12#include <boost/multiprecision/cpp_bin_float.hpp>
1e59de90 13#endif
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14
15// This example computes the lemniscate constant to high precision using the agm:
16using boost::math::tools::agm;
17using boost::math::constants::pi;
18
19int main() {
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20 using std::sqrt;
21
22 #ifndef BOOST_MATH_STANDALONE
20effc67 23 using Real = boost::multiprecision::cpp_bin_float_100;
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24 #else
25 using Real = long double;
26 #endif
27
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28 Real G = agm(sqrt(Real(2)), Real(1));
29 std::cout << std::setprecision(std::numeric_limits<Real>::max_digits10);
30 std::cout << " Gauss's lemniscate constant = " << pi<Real>()/G << "\n";
31 std::cout << "Expected lemniscate constant = " << "2.62205755429211981046483958989111941368275495143162316281682170380079058707041425023029553296142909344613\n";
32}