ceph/src/boost/libs/math/test/test_ibeta_inv_ab.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 #define BOOST_TEST_MAIN
  11 #include <boost/test/unit_test.hpp>
  12 #include <boost/test/tools/floating_point_comparison.hpp>
  13 #include <boost/math/special_functions/math_fwd.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 #ifdef TEST_GSL
  22 #include <gsl/gsl_errno.h>
  23 #include <gsl/gsl_message.h>
  24 #endif
  25
  26 #include "handle_test_result.hpp"
  27 #include "table_type.hpp"
  28
  29 #ifndef SC_
  30 #define SC_(x) static_cast<typename table_type<T>::type>(BOOST_JOIN(x, L))
  31 #endif
  32
  33 template <class Real, class T>
  34 void test_inverses(const T& data)
  35 {
  36    using namespace std;
  37    //typedef typename T::value_type row_type;
  38    typedef Real                   value_type;
  39
  40    value_type precision = static_cast<value_type>(ldexp(1.0, 1-boost::math::policies::digits<value_type, boost::math::policies::policy<> >()/2)) * 100;
  41    if(boost::math::policies::digits<value_type, boost::math::policies::policy<> >() < 50)
  42       precision = 1;   // 1% or two decimal digits, all we can hope for when the input is truncated
  43
  44    for(unsigned i = 0; i < data.size(); ++i)
  45    {
  46       //
  47       // These inverse tests are thrown off if the output of the
  48       // incomplete beta is too close to 1: basically there is insuffient
  49       // information left in the value we're using as input to the inverse
  50       // to be able to get back to the original value.
  51       //
  52       if(Real(data[i][5]) == 0)
  53       {
  54          BOOST_CHECK_EQUAL(boost::math::ibeta_inva(Real(data[i][1]), Real(data[i][2]), Real(data[i][5])), std::numeric_limits<value_type>::has_infinity ? std::numeric_limits<value_type>::infinity() : boost::math::tools::max_value<value_type>());
  55          BOOST_CHECK_EQUAL(boost::math::ibeta_invb(Real(data[i][0]), Real(data[i][2]), Real(data[i][5])), boost::math::tools::min_value<value_type>());
  56       }
  57       else if((1 - Real(data[i][5]) > 0.001)
  58          && (fabs(Real(data[i][5])) > 2 * boost::math::tools::min_value<value_type>())
  59          && (fabs(Real(data[i][5])) > 2 * boost::math::tools::min_value<double>()))
  60       {
  61          value_type inv = boost::math::ibeta_inva(Real(data[i][1]), Real(data[i][2]), Real(data[i][5]));
  62          BOOST_CHECK_CLOSE(Real(data[i][0]), inv, precision);
  63          inv = boost::math::ibeta_invb(Real(data[i][0]), Real(data[i][2]), Real(data[i][5]));
  64          BOOST_CHECK_CLOSE(Real(data[i][1]), inv, precision);
  65       }
  66       else if(1 == Real(data[i][5]))
  67       {
  68          BOOST_CHECK_EQUAL(boost::math::ibeta_inva(Real(data[i][1]), Real(data[i][2]), Real(data[i][5])), boost::math::tools::min_value<value_type>());
  69          BOOST_CHECK_EQUAL(boost::math::ibeta_invb(Real(data[i][0]), Real(data[i][2]), Real(data[i][5])), std::numeric_limits<value_type>::has_infinity ? std::numeric_limits<value_type>::infinity() : boost::math::tools::max_value<value_type>());
  70       }
  71
  72       if(Real(data[i][6]) == 0)
  73       {
  74          BOOST_CHECK_EQUAL(boost::math::ibetac_inva(Real(data[i][1]), Real(data[i][2]), Real(data[i][6])), boost::math::tools::min_value<value_type>());
  75          BOOST_CHECK_EQUAL(boost::math::ibetac_invb(Real(data[i][0]), Real(data[i][2]), Real(data[i][6])), std::numeric_limits<value_type>::has_infinity ? std::numeric_limits<value_type>::infinity() : boost::math::tools::max_value<value_type>());
  76       }
  77       else if((1 - Real(data[i][6]) > 0.001)
  78          && (fabs(Real(data[i][6])) > 2 * boost::math::tools::min_value<value_type>())
  79          && (fabs(Real(data[i][6])) > 2 * boost::math::tools::min_value<double>()))
  80       {
  81          value_type inv = boost::math::ibetac_inva(Real(data[i][1]), Real(data[i][2]), Real(data[i][6]));
  82          BOOST_CHECK_CLOSE(Real(data[i][0]), inv, precision);
  83          inv = boost::math::ibetac_invb(Real(data[i][0]), Real(data[i][2]), Real(data[i][6]));
  84          BOOST_CHECK_CLOSE(Real(data[i][1]), inv, precision);
  85       }
  86       else if(Real(data[i][6]) == 1)
  87       {
  88          BOOST_CHECK_EQUAL(boost::math::ibetac_inva(Real(data[i][1]), Real(data[i][2]), Real(data[i][6])), std::numeric_limits<value_type>::has_infinity ? std::numeric_limits<value_type>::infinity() : boost::math::tools::max_value<value_type>());
  89          BOOST_CHECK_EQUAL(boost::math::ibetac_invb(Real(data[i][0]), Real(data[i][2]), Real(data[i][6])), boost::math::tools::min_value<value_type>());
  90       }
  91    }
  92 }
  93
  94 template <class Real, class T>
  95 void test_inverses2(const T& data, const char* type_name, const char* test_name)
  96 {
  97 #if !(defined(ERROR_REPORTING_MODE) && !defined(IBETA_INVA_FUNCTION_TO_TEST))
  98    //typedef typename T::value_type row_type;
  99    typedef Real                   value_type;
 100
 101    typedef value_type (*pg)(value_type, value_type, value_type);
 102 #ifdef IBETA_INVA_FUNCTION_TO_TEST
 103    pg funcp = IBETA_INVA_FUNCTION_TO_TEST;
 104 #elif defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
 105    pg funcp = boost::math::ibeta_inva<value_type, value_type, value_type>;
 106 #else
 107    pg funcp = boost::math::ibeta_inva;
 108 #endif
 109
 110    boost::math::tools::test_result<value_type> result;
 111
 112    std::cout << "Testing " << test_name << " with type " << type_name
 113       << "\n~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\n";
 114
 115    //
 116    // test ibeta_inva(T, T, T) against data:
 117    //
 118    result = boost::math::tools::test_hetero<Real>(
 119       data,
 120       bind_func<Real>(funcp, 0, 1, 2),
 121       extract_result<Real>(3));
 122    handle_test_result(result, data[result.worst()], result.worst(), type_name, "ibeta_inva", test_name);
 123    //
 124    // test ibetac_inva(T, T, T) against data:
 125    //
 126 #ifdef IBETAC_INVA_FUNCTION_TO_TEST
 127    funcp = IBETAC_INVA_FUNCTION_TO_TEST;
 128 #elif defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
 129    funcp = boost::math::ibetac_inva<value_type, value_type, value_type>;
 130 #else
 131    funcp = boost::math::ibetac_inva;
 132 #endif
 133    result = boost::math::tools::test_hetero<Real>(
 134       data,
 135       bind_func<Real>(funcp, 0, 1, 2),
 136       extract_result<Real>(4));
 137    handle_test_result(result, data[result.worst()], result.worst(), type_name, "ibetac_inva", test_name);
 138    //
 139    // test ibeta_invb(T, T, T) against data:
 140    //
 141 #ifdef IBETA_INVB_FUNCTION_TO_TEST
 142    funcp = IBETA_INVB_FUNCTION_TO_TEST;
 143 #elif defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
 144    funcp = boost::math::ibeta_invb<value_type, value_type, value_type>;
 145 #else
 146    funcp = boost::math::ibeta_invb;
 147 #endif
 148    result = boost::math::tools::test_hetero<Real>(
 149       data,
 150       bind_func<Real>(funcp, 0, 1, 2),
 151       extract_result<Real>(5));
 152    handle_test_result(result, data[result.worst()], result.worst(), type_name, "ibeta_invb", test_name);
 153    //
 154    // test ibetac_invb(T, T, T) against data:
 155    //
 156 #ifdef IBETAC_INVB_FUNCTION_TO_TEST
 157    funcp = IBETAC_INVB_FUNCTION_TO_TEST;
 158 #elif defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS)
 159    funcp = boost::math::ibetac_invb<value_type, value_type, value_type>;
 160 #else
 161    funcp = boost::math::ibetac_invb;
 162 #endif
 163    result = boost::math::tools::test_hetero<Real>(
 164       data,
 165       bind_func<Real>(funcp, 0, 1, 2),
 166       extract_result<Real>(6));
 167    handle_test_result(result, data[result.worst()], result.worst(), type_name, "ibetac_invb", test_name);
 168 #endif
 169 }
 170
 171 template <class T>
 172 void test_beta(T, const char* name)
 173 {
 174 #if !defined(ERROR_REPORTING_MODE)
 175    //
 176    // The actual test data is rather verbose, so it's in a separate file
 177    //
 178    // The contents are as follows, each row of data contains
 179    // five items, input value a, input value b, integration limits x, beta(a, b, x) and ibeta(a, b, x):
 180    //
 181    std::cout << "Running sanity checks for type " << name << std::endl;
 182
 183 #if !defined(TEST_DATA) || (TEST_DATA == 1)
 184 #  include "ibeta_small_data.ipp"
 185
 186    test_inverses<T>(ibeta_small_data);
 187 #endif
 188
 189 #if !defined(TEST_DATA) || (TEST_DATA == 2)
 190 #  include "ibeta_data.ipp"
 191
 192    test_inverses<T>(ibeta_data);
 193 #endif
 194
 195 #if !defined(TEST_DATA) || (TEST_DATA == 3)
 196 #  include "ibeta_large_data.ipp"
 197
 198    test_inverses<T>(ibeta_large_data);
 199 #endif
 200 #endif
 201
 202 #if !defined(TEST_REAL_CONCEPT) || defined(FULL_TEST) || (TEST_DATA == 4)
 203    if(boost::is_floating_point<T>::value){
 204    //
 205    // This accuracy test is normally only enabled for "real"
 206    // floating point types and not for class real_concept.
 207    // The reason is that these tests are exceptionally slow
 208    // to complete when T doesn't have Lanczos support defined for it.
 209    //
 210 #  include "ibeta_inva_data.ipp"
 211
 212    test_inverses2<T>(ibeta_inva_data, name, "Inverse incomplete beta");
 213    }
 214 #endif
 215 }
 216