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- /*
- * Copyright Nick Thompson, 2017
- * 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)
- *
- * This example shows to to numerically integrate a periodic function using the adaptive_trapezoidal routine provided by boost.
- */
- #include <iostream>
- #include <cmath>
- #include <limits>
- #include <boost/math/quadrature/trapezoidal.hpp>
- int main()
- {
- using boost::math::constants::two_pi;
- using boost::math::constants::third;
- using boost::math::quadrature::trapezoidal;
- // This function has an analytic form for its integral over a period: 2pi/3.
- auto f = [](double x) { return 1/(5 - 4*cos(x)); };
- double Q = trapezoidal(f, (double) 0, two_pi<double>());
- std::cout << std::setprecision(std::numeric_limits<double>::digits10);
- std::cout << "The adaptive trapezoidal rule gives the integral of our function as " << Q << "\n";
- std::cout << "The exact result is " << two_pi<double>()*third<double>() << "\n";
- }
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