ceph/src/boost/libs/math/test/test_laguerre.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 #include <boost/math/concepts/real_concept.hpp>
   8 #define BOOST_TEST_MAIN
   9 #include <boost/test/unit_test.hpp>
  10 #include <boost/test/tools/floating_point_comparison.hpp>
  11 #include <boost/math/special_functions/math_fwd.hpp>
  12 #include <boost/math/constants/constants.hpp>
  13 #include <boost/array.hpp>
  14 #include "functor.hpp"
  15
  16 #include "handle_test_result.hpp"
  17 #include "table_type.hpp"
  18
  19 #ifndef SC_
  20 #define SC_(x) static_cast<typename table_type<T>::type>(BOOST_JOIN(x, L))
  21 #endif
  22
  23 template <class Real, class T>
  24 void do_test_laguerre2(const T& data, const char* type_name, const char* test_name)
  25 {
  26 #if !(defined(ERROR_REPORTING_MODE) && !defined(LAGUERRE_FUNCTION_TO_TEST))
  27    typedef Real                   value_type;
  28
  29    typedef value_type (*pg)(unsigned, value_type);
  30 #ifdef LAGUERRE_FUNCTION_TO_TEST
  31    pg funcp = LAGUERRE_FUNCTION_TO_TEST;
  32 #elif defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
  33    pg funcp = boost::math::laguerre<value_type>;
  34 #else
  35    pg funcp = boost::math::laguerre;
  36 #endif
  37
  38    boost::math::tools::test_result<value_type> result;
  39
  40    std::cout << "Testing " << test_name << " with type " << type_name
  41       << "\n~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\n";
  42
  43    //
  44    // test laguerre against data:
  45    //
  46    result = boost::math::tools::test_hetero<Real>(
  47       data,
  48       bind_func_int1<Real>(funcp, 0, 1),
  49       extract_result<Real>(2));
  50    handle_test_result(result, data[result.worst()], result.worst(), type_name, "laguerre(n, x)", test_name);
  51
  52    std::cout << std::endl;
  53 #endif
  54 }
  55
  56 template <class Real, class T>
  57 void do_test_laguerre3(const T& data, const char* type_name, const char* test_name)
  58 {
  59 #if !(defined(ERROR_REPORTING_MODE) && !defined(ASSOC_LAGUERRE_FUNCTION_TO_TEST))
  60    typedef Real                   value_type;
  61
  62    typedef value_type (*pg)(unsigned, unsigned, value_type);
  63 #ifdef ASSOC_LAGUERRE_FUNCTION_TO_TEST
  64    pg funcp = ASSOC_LAGUERRE_FUNCTION_TO_TEST;
  65 #elif defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
  66    pg funcp = boost::math::laguerre<unsigned, value_type>;
  67 #else
  68    pg funcp = boost::math::laguerre;
  69 #endif
  70
  71    boost::math::tools::test_result<value_type> result;
  72
  73    std::cout << "Testing " << test_name << " with type " << type_name
  74       << "\n~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\n";
  75
  76    //
  77    // test laguerre against data:
  78    //
  79    result = boost::math::tools::test_hetero<Real>(
  80       data,
  81       bind_func_int2<Real>(funcp, 0, 1, 2),
  82       extract_result<Real>(3));
  83    handle_test_result(result, data[result.worst()], result.worst(), type_name, "laguerre(n, m, x)", test_name);
  84    std::cout << std::endl;
  85 #endif
  86 }
  87
  88 template <class T>
  89 void test_laguerre(T, const char* name)
  90 {
  91    //
  92    // The actual test data is rather verbose, so it's in a separate file
  93    //
  94    // The contents are as follows, each row of data contains
  95    // three items, input value a, input value b and erf(a, b):
  96    //
  97 #  include "laguerre2.ipp"
  98
  99    do_test_laguerre2<T>(laguerre2, name, "Laguerre Polynomials");
 100
 101 #  include "laguerre3.ipp"
 102
 103    do_test_laguerre3<T>(laguerre3, name, "Associated Laguerre Polynomials");
 104 }
 105
 106 template <class T>
 107 void test_spots(T, const char* t)
 108 {
 109    std::cout << "Testing basic sanity checks for type " << t << std::endl;
 110    //
 111    // basic sanity checks, tolerance is 100 epsilon:
 112    //
 113    T tolerance = boost::math::tools::epsilon<T>() * 100;
 114    BOOST_CHECK_CLOSE_FRACTION(::boost::math::laguerre(1, static_cast<T>(0.5L)), static_cast<T>(0.5L), tolerance);
 115    BOOST_CHECK_CLOSE_FRACTION(::boost::math::laguerre(4, static_cast<T>(0.5L)), static_cast<T>(-0.3307291666666666666666666666666666666667L), tolerance);
 116    BOOST_CHECK_CLOSE_FRACTION(::boost::math::laguerre(7, static_cast<T>(0.5L)), static_cast<T>(-0.5183392237103174603174603174603174603175L), tolerance);
 117    BOOST_CHECK_CLOSE_FRACTION(::boost::math::laguerre(20, static_cast<T>(0.5L)), static_cast<T>(0.3120174870800154148915399248893113634676L), tolerance);
 118    BOOST_CHECK_CLOSE_FRACTION(::boost::math::laguerre(50, static_cast<T>(0.5L)), static_cast<T>(-0.3181388060269979064951118308575628226834L), tolerance);
 119
 120    BOOST_CHECK_CLOSE_FRACTION(::boost::math::laguerre(1, static_cast<T>(-0.5L)), static_cast<T>(1.5L), tolerance);
 121    BOOST_CHECK_CLOSE_FRACTION(::boost::math::laguerre(4, static_cast<T>(-0.5L)), static_cast<T>(3.835937500000000000000000000000000000000L), tolerance);
 122    BOOST_CHECK_CLOSE_FRACTION(::boost::math::laguerre(7, static_cast<T>(-0.5L)), static_cast<T>(7.950934709821428571428571428571428571429L), tolerance);
 123    BOOST_CHECK_CLOSE_FRACTION(::boost::math::laguerre(20, static_cast<T>(-0.5L)), static_cast<T>(76.12915699869631476833699787070874048223L), tolerance);
 124    BOOST_CHECK_CLOSE_FRACTION(::boost::math::laguerre(50, static_cast<T>(-0.5L)), static_cast<T>(2307.428631277506570629232863491518399720L), tolerance);
 125
 126    BOOST_CHECK_CLOSE_FRACTION(::boost::math::laguerre(1, static_cast<T>(4.5L)), static_cast<T>(-3.500000000000000000000000000000000000000L), tolerance);
 127    BOOST_CHECK_CLOSE_FRACTION(::boost::math::laguerre(4, static_cast<T>(4.5L)), static_cast<T>(0.08593750000000000000000000000000000000000L), tolerance);
 128    BOOST_CHECK_CLOSE_FRACTION(::boost::math::laguerre(7, static_cast<T>(4.5L)), static_cast<T>(-1.036928013392857142857142857142857142857L), tolerance);
 129    BOOST_CHECK_CLOSE_FRACTION(::boost::math::laguerre(20, static_cast<T>(4.5L)), static_cast<T>(1.437239150257817378525582974722170737587L), tolerance);
 130    BOOST_CHECK_CLOSE_FRACTION(::boost::math::laguerre(50, static_cast<T>(4.5L)), static_cast<T>(-0.7795068145562651416494321484050019245248L), tolerance);
 131
 132    BOOST_CHECK_CLOSE_FRACTION(::boost::math::laguerre(4, 5, static_cast<T>(0.5L)), static_cast<T>(88.31510416666666666666666666666666666667L), tolerance);
 133    BOOST_CHECK_CLOSE_FRACTION(::boost::math::laguerre(10, 0, static_cast<T>(2.5L)), static_cast<T>(-0.8802526766660982969576719576719576719577L), tolerance);
 134    BOOST_CHECK_CLOSE_FRACTION(::boost::math::laguerre(10, 1, static_cast<T>(4.5L)), static_cast<T>(1.564311458042689732142857142857142857143L), tolerance);
 135    BOOST_CHECK_CLOSE_FRACTION(::boost::math::laguerre(10, 6, static_cast<T>(8.5L)), static_cast<T>(20.51596541066649098875661375661375661376L), tolerance);
 136    BOOST_CHECK_CLOSE_FRACTION(::boost::math::laguerre(10, 12, static_cast<T>(12.5L)), static_cast<T>(-199.5560968456234671241181657848324514991L), tolerance);
 137    BOOST_CHECK_CLOSE_FRACTION(::boost::math::laguerre(50, 40, static_cast<T>(12.5L)), static_cast<T>(-4.996769495006119488583146995907246595400e16L), tolerance);
 138 }
 139