#include <iostream>
#include <ostream>
#include <iomanip>
#include <boost/numeric/interval.hpp>
#include <boost/limits.hpp>
#include "io_precision.hpp"

using namespace boost::numeric;

int main()
{
  std::cout << std::setprecision(std::numeric_limits<double>::digits10)
            << 1.0/3.0 << '\n'
            << '\n'

            << "3 significant digits, last varies with 1\n\n"

            << interval<double>(1.231,1.232) << '\n'
            << interval<double>(-1.232,-1.231) << '\n'
            << interval<double>(9.871,9.872) << '\n'
            << interval<double>(-9.872,-9.871) << '\n'
            << interval<double>(1.231e100,1.232e100) << '\n'
            << interval<double>(-1.232e100,-1.231e100) << '\n'
            << '\n'

            << "3 significant digits, last varies with 3\n\n"

            << interval<double>(1.231,1.234) << '\n'
            << interval<double>(-1.234,-1.231) << '\n'
            << interval<double>(9.871,9.874) << '\n'
            << interval<double>(-9.874,-9.871) << '\n'
            << interval<double>(1.231e100,1.234e100) << '\n'
            << interval<double>(-1.234e100,-1.231e100) << '\n'
            << '\n'

            << "3 significant digits, last varies with 5\n\n"

            << interval<double>(1.231,1.236) << '\n'
            << interval<double>(-1.236,-1.231) << '\n'
            << interval<double>(9.871,9.876) << '\n'
            << interval<double>(-9.876,-9.871) << '\n'
            << interval<double>(1.231e100,1.236e100) << '\n'
            << interval<double>(-1.236e100,-1.231e100) << '\n'
            << '\n'

            << "10 significant digits, last varies with 1\n\n"

            << interval<double>(1.2345678911,1.2345678912) << '\n'
            << interval<double>(-1.2345678912,-1.2345678911) << '\n'
            << interval<double>(9.876543211,9.876543212) << '\n'
            << interval<double>(-9.876543212,-9.876543211) << '\n'
            << interval<double>(1.2345678911e100,1.2345678912e100) << '\n'
            << interval<double>(-1.2345678912e100,-1.2345678911e100) << '\n'
            << '\n'

            << "10 significant digits, last varies with 3\n\n"

            << interval<double>(1.2345678911,1.2345678914) << '\n'
            << interval<double>(-1.2345678914,-1.2345678911) << '\n'
            << interval<double>(9.876543211,9.876543214) << '\n'
            << interval<double>(-9.876543214,-9.876543211) << '\n'
            << interval<double>(1.2345678911e100,1.2345678914e100) << '\n'
            << interval<double>(-1.2345678914e100,-1.2345678911e100) << '\n'
            << '\n'

            << "10 significant digits, last varies with 5\n\n"

            << interval<double>(1.2345678911,1.2345678916) << '\n'
            << interval<double>(-1.2345678916,-1.2345678911) << '\n'
            << interval<double>(9.8765432111,9.8765432116) << '\n'
            << interval<double>(-9.8765432116,-9.8765432111) << '\n'
            << interval<double>(1.2345678911e100,1.2345678916e100) << '\n'
            << interval<double>(-1.2345678916e100,-1.2345678911e100) << '\n';
}