1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
|
// (C) Copyright Nick Thompson 2020.
// Use, modification and distribution are subject to the
// Boost Software License, Version 1.0. (See accompanying file
// LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
//
// Deliberately contains some unicode characters:
//
// boost-no-inspect
//
#include <iostream>
#include <boost/math/constants/constants.hpp>
#include <boost/math/tools/simple_continued_fraction.hpp>
#include <boost/multiprecision/cpp_bin_float.hpp>
using boost::math::constants::root_two;
using boost::math::constants::phi;
using boost::math::constants::pi;
using boost::math::constants::e;
using boost::math::constants::zeta_three;
using boost::math::tools::simple_continued_fraction;
int main()
{
using Real = boost::multiprecision::cpp_bin_float_100;
auto phi_cfrac = simple_continued_fraction(phi<Real>());
std::cout << "φ ≈ " << phi_cfrac << "\n\n";
auto pi_cfrac = simple_continued_fraction(pi<Real>());
std::cout << "π ≈ " << pi_cfrac << "\n";
std::cout << "Known: [3; 7, 15, 1, 292, 1, 1, 1, 2, 1, 3, 1, 14, 2, 1, 1, 2, 2, 2, 2, 1, 84, 2, 1, 1, 15, 3, 13, 1, 4, 2, 6, 6, 99, 1, 2, 2, 6, 3, 5, 1, 1, 6, 8, 1, 7, 1, 2, 3, 7, 1, 2, 1, 1, 12, 1, 1, 1, 3, 1, 1, 8, 1, 1, 2, 1, 6, 1, 1, 5, 2, 2, 3, 1, 2, 4, 4, 16, 1, 161, 45, 1, 22, 1, 2, 2, 1, 4, 1, 2, 24, 1, 2, 1, 3, 1, 2, 1, ...]\n\n";
auto rt_cfrac = simple_continued_fraction(root_two<Real>());
std::cout << "√2 ≈ " << rt_cfrac << "\n\n";
auto e_cfrac = simple_continued_fraction(e<Real>());
std::cout << "e ≈ " << e_cfrac << "\n";
// Correctness can be checked in Mathematica via: ContinuedFraction[Zeta[3], 500]
auto z_cfrac = simple_continued_fraction(zeta_three<Real>());
std::cout << "ζ(3) ≈ " << z_cfrac << "\n";
}
|
