ceph/src/boost/libs/math/test/test_minima.cpp

   1 //  Copyright John Maddock 2006.
   2 //  Copyright Paul A. Bristow 2007.
   3
   4 //  Use, modification and distribution are subject to the
   5 //  Boost Software License, Version 1.0. (See accompanying file
   6 //  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
   7
   8 #include <pch.hpp>
   9
  10 #include <boost/math/tools/minima.hpp>
  11 #define BOOST_TEST_MAIN
  12 #include <boost/test/unit_test.hpp>
  13 #include <boost/test/tools/floating_point_comparison.hpp>
  14 #include <boost/math/special_functions/gamma.hpp>
  15 #include <iostream>
  16 #include <iomanip>
  17
  18 template <class T>
  19 struct poly_test
  20 {
  21    // minima is at (3,4):
  22    T operator()(const T& v)
  23    {
  24       T a = v - 3;
  25       return 3 * a * a + 4;
  26    }
  27 };
  28
  29 template <class T>
  30 void test_minima(T, const char* /* name */)
  31 {
  32    std::pair<T, T> m = boost::math::tools::brent_find_minima(poly_test<T>(), T(-10), T(10), 50);
  33    BOOST_CHECK_CLOSE(m.first, T(3), T(0.001));
  34    BOOST_CHECK_CLOSE(m.second, T(4), T(0.001));
  35
  36    T (*fp)(T);
  37 #if defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
  38    fp = boost::math::lgamma<T>;
  39 #else
  40    fp = boost::math::lgamma;
  41 #endif
  42
  43    m = boost::math::tools::brent_find_minima(fp, T(0.5), T(10), 50);
  44    BOOST_CHECK_CLOSE(m.first, T(1.461632), T(0.1));
  45 #if defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
  46    fp = boost::math::tgamma<T>;
  47 #else
  48    fp = boost::math::tgamma;
  49 #endif
  50    m = boost::math::tools::brent_find_minima(fp, T(0.5), T(10), 50);
  51    BOOST_CHECK_CLOSE(m.first, T(1.461632), T(0.1));
  52 }
  53
  54 BOOST_AUTO_TEST_CASE( test_main )
  55 {
  56    test_minima(0.1f, "float");
  57    test_minima(0.1, "double");
  58 #ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
  59    test_minima(0.1L, "long double");
  60 #endif
  61
  62 }
  63
  64