ceph/src/boost/libs/math/test/test_jacobi_zeta.hpp

   1 // Copyright John Maddock 2015.
   2 //  Use, modification and distribution are subject to the
   3 //  Boost Software License, Version 1.0. (See accompanying file
   4 //  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
   5
   6 #ifdef _MSC_VER
   7 #  pragma warning(disable : 4756) // overflow in constant arithmetic
   8 // Constants are too big for float case, but this doesn't matter for test.
   9 #endif
  10
  11 #include <boost/math/concepts/real_concept.hpp>
  12 #define BOOST_TEST_MAIN
  13 #include <boost/test/unit_test.hpp>
  14 #include <boost/test/tools/floating_point_comparison.hpp>
  15 #include <boost/math/special_functions/math_fwd.hpp>
  16 #include <boost/math/constants/constants.hpp>
  17 //#include <boost/math/special_functions/next.hpp>
  18 #include <boost/array.hpp>
  19 #include "functor.hpp"
  20
  21 #include "handle_test_result.hpp"
  22 #include "table_type.hpp"
  23
  24 #ifndef SC_
  25 #define SC_(x) static_cast<typename table_type<T>::type>(BOOST_JOIN(x, L))
  26 #endif
  27
  28 template <class Real, typename T>
  29 void do_test_jacobi_zeta(const T& data, const char* type_name, const char* test)
  30 {
  31 #if !(defined(ERROR_REPORTING_MODE) && !defined(JACOBI_ZETA_FUNCTION_TO_TEST))
  32    typedef Real                   value_type;
  33
  34    std::cout << "Testing: " << test << std::endl;
  35
  36 #ifdef JACOBI_ZETA_FUNCTION_TO_TEST
  37    value_type(*fp2)(value_type, value_type) = JACOBI_ZETA_FUNCTION_TO_TEST;
  38 #elif defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
  39     value_type (*fp2)(value_type, value_type) = boost::math::ellint_d<value_type, value_type>;
  40 #else
  41    value_type(*fp2)(value_type, value_type) = boost::math::jacobi_zeta;
  42 #endif
  43     boost::math::tools::test_result<value_type> result;
  44
  45     result = boost::math::tools::test_hetero<Real>(
  46       data,
  47       bind_func<Real>(fp2, 1, 0),
  48       extract_result<Real>(2));
  49    handle_test_result(result, data[result.worst()], result.worst(),
  50       type_name, "jacobi_zeta", test);
  51
  52    std::cout << std::endl;
  53 #endif
  54 }
  55
  56 template <typename T>
  57 void test_spots(T, const char* type_name)
  58 {
  59     BOOST_MATH_STD_USING
  60     // Function values calculated on http://functions.wolfram.com/
  61     // Note that Mathematica's EllipticE accepts k^2 as the second parameter.
  62     static const std::array<std::array<T, 3>, 18> data1 = {{
  63        { { SC_(0.5), SC_(0.5), SC_(0.055317014255129651475392155709691519) } },
  64        { { SC_(-0.5), SC_(0.5), SC_(-0.055317014255129651475392155709691519) } },
  65         { { SC_(0), SC_(0.5), SC_(0) } },
  66         { { SC_(1), T(0.5), SC_(0.061847782565098669252626761181452815) } },
  67 //        { { boost::math::float_prior(boost::math::constants::half_pi<T>()), T(0.5), SC_(0) } },
  68         { { SC_(1), T(0), SC_(0) } },
  69         { { SC_(1), T(1), SC_(0.84147098480789650665250232163029900) } },
  70         { { SC_(2), T(0.5), SC_(-0.051942537457672732722176231281435254) } },
  71         { { SC_(5), T(0.5), SC_(-0.037609329968145259476447488930872898) } },
  72         { { SC_(0.5), SC_(1), SC_(0.479425538604203000273287935215571388081803367940600675188616) } },
  73        { { boost::math::constants::half_pi<T>() - static_cast<T>(1) / 1024, SC_(1), SC_(0.999999523162879692486369202949889069215510235208243466564977) } },
  74        { { boost::math::constants::half_pi<T>() + static_cast<T>(1) / 1024, SC_(1), SC_(-0.999999523162879692486369202949889069215510235208243466564977) } },
  75        { { SC_(2), SC_(1), SC_(-0.90929742682568169539601986591174484270225497144789026837897) } },
  76        { { SC_(3), SC_(1), SC_(-0.14112000805986722210074480280811027984693326425226558415188) } },
  77        { { SC_(4), SC_(1), SC_(0.756802495307928251372639094511829094135912887336472571485416) } },
  78         { { SC_(-0.5), SC_(1), SC_(-0.479425538604203000273287935215571388081803367940600675188616) } },
  79        { { SC_(-2), SC_(1), SC_(0.90929742682568169539601986591174484270225497144789026837897) } },
  80        { { SC_(-3), SC_(1), SC_(0.14112000805986722210074480280811027984693326425226558415188) } },
  81        { { SC_(-4), SC_(1), SC_(-0.756802495307928251372639094511829094135912887336472571485416) } },
  82     }};
  83
  84     do_test_jacobi_zeta<T>(data1, type_name, "Elliptic Integral Jacobi Zeta: Mathworld Data");
  85
  86 #include "jacobi_zeta_data.ipp"
  87
  88     do_test_jacobi_zeta<T>(jacobi_zeta_data, type_name, "Elliptic Integral Jacobi Zeta: Random Data");
  89
  90 #include "jacobi_zeta_big_phi.ipp"
  91
  92     do_test_jacobi_zeta<T>(jacobi_zeta_big_phi, type_name, "Elliptic Integral Jacobi Zeta: Large Phi Values");
  93 }
  94