libs/math/test/test_1F0.hpp

   1 // Copyright John Maddock 2006.
   2 // Copyright Paul A. Bristow 2007, 2009
   3 //  Use, modification and distribution are subject to the
   4 //  Boost Software License, Version 1.0. (See accompanying file
   5 //  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
   6
   7 #define BOOST_MATH_OVERFLOW_ERROR_POLICY ignore_error
   8
   9 #include <boost/math/concepts/real_concept.hpp>
  10 #include <boost/math/special_functions/math_fwd.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/tools/stats.hpp>
  15 #include <boost/math/tools/test.hpp>
  16 #include <boost/math/constants/constants.hpp>
  17 #include <boost/type_traits/is_floating_point.hpp>
  18 #include <boost/array.hpp>
  19 #include "functor.hpp"
  20
  21 #include "handle_test_result.hpp"
  22 #include "table_type.hpp"
  23
  24 #include <boost/math/special_functions/hypergeometric_1F0.hpp>
  25
  26 #ifndef SC_
  27 #define SC_(x) static_cast<typename table_type<T>::type>(BOOST_JOIN(x, L))
  28 #endif
  29
  30
  31 template <class T>
  32 void test_spots(T)
  33 {
  34    using std::pow;
  35    //
  36    // basic sanity checks, tolerance is 10 epsilon expressed as a percentage:
  37    //
  38    T tolerance = boost::math::tools::epsilon<T>() * 1000;
  39
  40    BOOST_CHECK_CLOSE(boost::math::hypergeometric_1F0(T(-3), T(2)), T(-1), tolerance);
  41    BOOST_CHECK_CLOSE(boost::math::hypergeometric_1F0(T(-3), T(4)), T(-27), tolerance);
  42    BOOST_CHECK_CLOSE(boost::math::hypergeometric_1F0(T(-3), T(0.5)), T(0.125), tolerance);
  43    BOOST_CHECK_CLOSE(boost::math::hypergeometric_1F0(T(3), T(0.5)), T(8), tolerance);
  44    BOOST_CHECK_CLOSE(boost::math::hypergeometric_1F0(T(3), T(2)), T(-1), tolerance);
  45    BOOST_CHECK_CLOSE(boost::math::hypergeometric_1F0(T(3), T(4)), T(T(-1) / 27), tolerance);
  46    BOOST_CHECK_CLOSE(boost::math::hypergeometric_1F0(T(3), T(-0.5)), pow(T(1.5), -3), tolerance);
  47    BOOST_CHECK_CLOSE(boost::math::hypergeometric_1F0(T(3), T(-2)), T(1 / T(27)), tolerance);
  48    BOOST_CHECK_CLOSE(boost::math::hypergeometric_1F0(T(3), T(-4)), T(T(1) / 125), tolerance);
  49    BOOST_CHECK_CLOSE(boost::math::hypergeometric_1F0(T(-3), T(-0.5)), pow(T(1.5), 3), tolerance);
  50    BOOST_CHECK_CLOSE(boost::math::hypergeometric_1F0(T(-3), T(-2)), T(27), tolerance);
  51    BOOST_CHECK_CLOSE(boost::math::hypergeometric_1F0(T(-3), T(-4)), T(125), tolerance);
  52
  53    BOOST_CHECK_THROW(boost::math::hypergeometric_1F0(T(3), T(1)), std::domain_error);
  54    BOOST_CHECK_THROW(boost::math::hypergeometric_1F0(T(-3), T(1)), std::domain_error);
  55    BOOST_CHECK_THROW(boost::math::hypergeometric_1F0(T(3.25), T(1)), std::domain_error);
  56    BOOST_CHECK_THROW(boost::math::hypergeometric_1F0(T(-3.25), T(1)), std::domain_error);
  57    BOOST_CHECK_THROW(boost::math::hypergeometric_1F0(T(3.25), T(2)), std::domain_error);
  58    BOOST_CHECK_THROW(boost::math::hypergeometric_1F0(T(-3.25), T(2)), std::domain_error);
  59 }
  60