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33 lines
1.1 KiB
C++
33 lines
1.1 KiB
C++
// (C) Copyright Nick Thompson 2020.
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// Use, modification and distribution are subject to the
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// Boost Software License, Version 1.0. (See accompanying file
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// LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
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#include <cmath>
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#include <iostream>
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#include <iomanip>
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#include <boost/math/tools/agm.hpp>
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#include <boost/math/constants/constants.hpp>
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#ifndef BOOST_MATH_STANDALONE
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#include <boost/multiprecision/cpp_bin_float.hpp>
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#endif
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// This example computes the lemniscate constant to high precision using the agm:
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using boost::math::tools::agm;
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using boost::math::constants::pi;
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int main() {
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using std::sqrt;
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#ifndef BOOST_MATH_STANDALONE
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using Real = boost::multiprecision::cpp_bin_float_100;
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#else
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using Real = long double;
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#endif
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Real G = agm(sqrt(Real(2)), Real(1));
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std::cout << std::setprecision(std::numeric_limits<Real>::max_digits10);
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std::cout << " Gauss's lemniscate constant = " << pi<Real>()/G << "\n";
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std::cout << "Expected lemniscate constant = " << "2.62205755429211981046483958989111941368275495143162316281682170380079058707041425023029553296142909344613\n";
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}
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