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Library/boost/libs/math/example/trapezoidal_example.cpp
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PatoFlamejanteTV
full source code
19 дек 2024, 19:11
19 дек 2024, 19:11
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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"; }