libstdc++-v3/testsuite/tr1/5_numerical_facilities/special_functions/03_beta/check_value.cc

// 2007-02-04  Edward Smith-Rowland <3dw4rd@verizon.net>
//
// Copyright (C) 2007-2014 Free Software Foundation, Inc.
//
// This file is part of the GNU ISO C++ Library.  This library is free
// software; you can redistribute it and/or modify it under the
// terms of the GNU General Public License as published by the
// Free Software Foundation; either version 3, or (at your option)
// any later version.
//
// This library is distributed in the hope that it will be useful,
// but WITHOUT ANY WARRANTY; without even the implied warranty of
// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
// GNU General Public License for more details.
//
// You should have received a copy of the GNU General Public License along
// with this library; see the file COPYING3.  If not see
// <http://www.gnu.org/licenses/>.

//  beta


//  Compare against values generated by the GNU Scientific Library.
//  The GSL can be found on the web: http://www.gnu.org/software/gsl/

#include <tr1/cmath>
#if defined(__TEST_DEBUG)
#include <iostream>
#define VERIFY(A) \
if (!(A)) \
  { \
    std::cout << "line " << __LINE__ \
      << "  max_abs_frac = " << max_abs_frac \
      << std::endl; \
  }
#else
#include <testsuite_hooks.h>
#endif
#include "../testcase.h"


// Test data for x=10.000000000000000.
testcase_beta<double> data001[] = {
  { 1.0825088224469029e-06, 10.000000000000000, 10.000000000000000 },
  { 4.9925087406346778e-09, 10.000000000000000, 20.000000000000000 },
  { 1.5729567312509485e-10, 10.000000000000000, 30.000000000000000 },
  { 1.2168673582561288e-11, 10.000000000000000, 40.000000000000000 },
  { 1.5916380099863291e-12, 10.000000000000000, 50.000000000000000 },
  { 2.9408957938463963e-13, 10.000000000000000, 60.000000000000000 },
  { 6.9411637980691676e-14, 10.000000000000000, 70.000000000000000 },
  { 1.9665612972502651e-14, 10.000000000000000, 80.000000000000000 },
  { 6.4187824828154399e-15, 10.000000000000000, 90.000000000000000 },
  { 2.3455339739604842e-15, 10.000000000000000, 100.00000000000000 },
};

// Test function for x=10.000000000000000.
template <typename Tp>
void test001()
{
  const Tp eps = std::numeric_limits<Tp>::epsilon();
  Tp max_abs_diff = -Tp(1);
  Tp max_abs_frac = -Tp(1);
  unsigned int num_datum = sizeof(data001)
                         / sizeof(testcase_beta<double>);
  for (unsigned int i = 0; i < num_datum; ++i)
    {
      const Tp f = std::tr1::beta(Tp(data001[i].x), Tp(data001[i].y));
      const Tp f0 = data001[i].f0;
      const Tp diff = f - f0;
      if (std::abs(diff) > max_abs_diff)
        max_abs_diff = std::abs(diff);
      if (std::abs(f0) > Tp(10) * eps
       && std::abs(f) > Tp(10) * eps)
        {
          const Tp frac = diff / f0;
          if (std::abs(frac) > max_abs_frac)
            max_abs_frac = std::abs(frac);
        }
    }
  VERIFY(max_abs_frac < Tp(5.0000000000000029e-12));
}

// Test data for x=20.000000000000000.
testcase_beta<double> data002[] = {
  { 4.9925087406346778e-09, 20.000000000000000, 10.000000000000000 },
  { 7.2544445519248436e-13, 20.000000000000000, 20.000000000000000 },
  { 1.7681885473062028e-15, 20.000000000000000, 30.000000000000000 },
  { 1.7891885039182335e-17, 20.000000000000000, 40.000000000000000 },
  { 4.3240677875623635e-19, 20.000000000000000, 50.000000000000000 },
  { 1.8857342309689050e-20, 20.000000000000000, 60.000000000000000 },
  { 1.2609804003539998e-21, 20.000000000000000, 70.000000000000000 },
  { 1.1660809542079041e-22, 20.000000000000000, 80.000000000000000 },
  { 1.3907944279729071e-23, 20.000000000000000, 90.000000000000000 },
  { 2.0365059099917614e-24, 20.000000000000000, 100.00000000000000 },
};

// Test function for x=20.000000000000000.
template <typename Tp>
void test002()
{
  const Tp eps = std::numeric_limits<Tp>::epsilon();
  Tp max_abs_diff = -Tp(1);
  Tp max_abs_frac = -Tp(1);
  unsigned int num_datum = sizeof(data002)
                         / sizeof(testcase_beta<double>);
  for (unsigned int i = 0; i < num_datum; ++i)
    {
      const Tp f = std::tr1::beta(Tp(data002[i].x), Tp(data002[i].y));
      const Tp f0 = data002[i].f0;
      const Tp diff = f - f0;
      if (std::abs(diff) > max_abs_diff)
        max_abs_diff = std::abs(diff);
      if (std::abs(f0) > Tp(10) * eps
       && std::abs(f) > Tp(10) * eps)
        {
          const Tp frac = diff / f0;
          if (std::abs(frac) > max_abs_frac)
            max_abs_frac = std::abs(frac);
        }
    }
  VERIFY(max_abs_frac < Tp(2.5000000000000020e-13));
}

// Test data for x=30.000000000000000.
testcase_beta<double> data003[] = {
  { 1.5729567312509485e-10, 30.000000000000000, 10.000000000000000 },
  { 1.7681885473062028e-15, 30.000000000000000, 20.000000000000000 },
  { 5.6370779640482451e-19, 30.000000000000000, 30.000000000000000 },
  { 1.0539424603796547e-21, 30.000000000000000, 40.000000000000000 },
  { 6.0118197777273836e-24, 30.000000000000000, 50.000000000000000 },
  { 7.4279528553260165e-26, 30.000000000000000, 60.000000000000000 },
  { 1.6212207780604767e-27, 30.000000000000000, 70.000000000000000 },
  { 5.4783729715317616e-29, 30.000000000000000, 80.000000000000000 },
  { 2.6183005659681346e-30, 30.000000000000000, 90.000000000000000 },
  { 1.6587948222122229e-31, 30.000000000000000, 100.00000000000000 },
};

// Test function for x=30.000000000000000.
template <typename Tp>
void test003()
{
  const Tp eps = std::numeric_limits<Tp>::epsilon();
  Tp max_abs_diff = -Tp(1);
  Tp max_abs_frac = -Tp(1);
  unsigned int num_datum = sizeof(data003)
                         / sizeof(testcase_beta<double>);
  for (unsigned int i = 0; i < num_datum; ++i)
    {
      const Tp f = std::tr1::beta(Tp(data003[i].x), Tp(data003[i].y));
      const Tp f0 = data003[i].f0;
      const Tp diff = f - f0;
      if (std::abs(diff) > max_abs_diff)
        max_abs_diff = std::abs(diff);
      if (std::abs(f0) > Tp(10) * eps
       && std::abs(f) > Tp(10) * eps)
        {
          const Tp frac = diff / f0;
          if (std::abs(frac) > max_abs_frac)
            max_abs_frac = std::abs(frac);
        }
    }
  VERIFY(max_abs_frac < Tp(5.0000000000000039e-13));
}

// Test data for x=40.000000000000000.
testcase_beta<double> data004[] = {
  { 1.2168673582561288e-11, 40.000000000000000, 10.000000000000000 },
  { 1.7891885039182335e-17, 40.000000000000000, 20.000000000000000 },
  { 1.0539424603796547e-21, 40.000000000000000, 30.000000000000000 },
  { 4.6508509140090659e-25, 40.000000000000000, 40.000000000000000 },
  { 7.5161712118557719e-28, 40.000000000000000, 50.000000000000000 },
  { 3.0311331979886071e-30, 40.000000000000000, 60.000000000000000 },
  { 2.4175035070466313e-32, 40.000000000000000, 70.000000000000000 },
  { 3.2734839142758369e-34, 40.000000000000000, 80.000000000000000 },
  { 6.7690629601315579e-36, 40.000000000000000, 90.000000000000000 },
  { 1.9797337118812366e-37, 40.000000000000000, 100.00000000000000 },
};

// Test function for x=40.000000000000000.
template <typename Tp>
void test004()
{
  const Tp eps = std::numeric_limits<Tp>::epsilon();
  Tp max_abs_diff = -Tp(1);
  Tp max_abs_frac = -Tp(1);
  unsigned int num_datum = sizeof(data004)
                         / sizeof(testcase_beta<double>);
  for (unsigned int i = 0; i < num_datum; ++i)
    {
      const Tp f = std::tr1::beta(Tp(data004[i].x), Tp(data004[i].y));
      const Tp f0 = data004[i].f0;
      const Tp diff = f - f0;
      if (std::abs(diff) > max_abs_diff)
        max_abs_diff = std::abs(diff);
      if (std::abs(f0) > Tp(10) * eps
       && std::abs(f) > Tp(10) * eps)
        {
          const Tp frac = diff / f0;
          if (std::abs(frac) > max_abs_frac)
            max_abs_frac = std::abs(frac);
        }
    }
  VERIFY(max_abs_frac < Tp(2.5000000000000015e-12));
}

// Test data for x=50.000000000000000.
testcase_beta<double> data005[] = {
  { 1.5916380099863291e-12, 50.000000000000000, 10.000000000000000 },
  { 4.3240677875623635e-19, 50.000000000000000, 20.000000000000000 },
  { 6.0118197777273836e-24, 50.000000000000000, 30.000000000000000 },
  { 7.5161712118557719e-28, 50.000000000000000, 40.000000000000000 },
  { 3.9646612085674138e-31, 50.000000000000000, 50.000000000000000 },
  { 5.8425643906418403e-34, 50.000000000000000, 60.000000000000000 },
  { 1.8672362180783552e-36, 50.000000000000000, 70.000000000000000 },
  { 1.0939382296458962e-38, 50.000000000000000, 80.000000000000000 },
  { 1.0442781609881063e-40, 50.000000000000000, 90.000000000000000 },
  { 1.4904121110954370e-42, 50.000000000000000, 100.00000000000000 },
};

// Test function for x=50.000000000000000.
template <typename Tp>
void test005()
{
  const Tp eps = std::numeric_limits<Tp>::epsilon();
  Tp max_abs_diff = -Tp(1);
  Tp max_abs_frac = -Tp(1);
  unsigned int num_datum = sizeof(data005)
                         / sizeof(testcase_beta<double>);
  for (unsigned int i = 0; i < num_datum; ++i)
    {
      const Tp f = std::tr1::beta(Tp(data005[i].x), Tp(data005[i].y));
      const Tp f0 = data005[i].f0;
      const Tp diff = f - f0;
      if (std::abs(diff) > max_abs_diff)
        max_abs_diff = std::abs(diff);
      if (std::abs(f0) > Tp(10) * eps
       && std::abs(f) > Tp(10) * eps)
        {
          const Tp frac = diff / f0;
          if (std::abs(frac) > max_abs_frac)
            max_abs_frac = std::abs(frac);
        }
    }
  VERIFY(max_abs_frac < Tp(2.5000000000000020e-13));
}

// Test data for x=60.000000000000000.
testcase_beta<double> data006[] = {
  { 2.9408957938463963e-13, 60.000000000000000, 10.000000000000000 },
  { 1.8857342309689050e-20, 60.000000000000000, 20.000000000000000 },
  { 7.4279528553260165e-26, 60.000000000000000, 30.000000000000000 },
  { 3.0311331979886071e-30, 60.000000000000000, 40.000000000000000 },
  { 5.8425643906418403e-34, 60.000000000000000, 50.000000000000000 },
  { 3.4501231469782229e-37, 60.000000000000000, 60.000000000000000 },
  { 4.7706855386086599e-40, 60.000000000000000, 70.000000000000000 },
  { 1.2902663809722593e-42, 60.000000000000000, 80.000000000000000 },
  { 6.0105571058570508e-45, 60.000000000000000, 90.000000000000000 },
  { 4.3922898898347209e-47, 60.000000000000000, 100.00000000000000 },
};

// Test function for x=60.000000000000000.
template <typename Tp>
void test006()
{
  const Tp eps = std::numeric_limits<Tp>::epsilon();
  Tp max_abs_diff = -Tp(1);
  Tp max_abs_frac = -Tp(1);
  unsigned int num_datum = sizeof(data006)
                         / sizeof(testcase_beta<double>);
  for (unsigned int i = 0; i < num_datum; ++i)
    {
      const Tp f = std::tr1::beta(Tp(data006[i].x), Tp(data006[i].y));
      const Tp f0 = data006[i].f0;
      const Tp diff = f - f0;
      if (std::abs(diff) > max_abs_diff)
        max_abs_diff = std::abs(diff);
      if (std::abs(f0) > Tp(10) * eps
       && std::abs(f) > Tp(10) * eps)
        {
          const Tp frac = diff / f0;
          if (std::abs(frac) > max_abs_frac)
            max_abs_frac = std::abs(frac);
        }
    }
  VERIFY(max_abs_frac < Tp(1.0000000000000008e-12));
}

// Test data for x=70.000000000000000.
testcase_beta<double> data007[] = {
  { 6.9411637980691676e-14, 70.000000000000000, 10.000000000000000 },
  { 1.2609804003539998e-21, 70.000000000000000, 20.000000000000000 },
  { 1.6212207780604767e-27, 70.000000000000000, 30.000000000000000 },
  { 2.4175035070466313e-32, 70.000000000000000, 40.000000000000000 },
  { 1.8672362180783552e-36, 70.000000000000000, 50.000000000000000 },
  { 4.7706855386086599e-40, 70.000000000000000, 60.000000000000000 },
  { 3.0453137143486369e-43, 70.000000000000000, 70.000000000000000 },
  { 4.0192274082013779e-46, 70.000000000000000, 80.000000000000000 },
  { 9.5865870063501807e-49, 70.000000000000000, 90.000000000000000 },
  { 3.7409127305819802e-51, 70.000000000000000, 100.00000000000000 },
};

// Test function for x=70.000000000000000.
template <typename Tp>
void test007()
{
  const Tp eps = std::numeric_limits<Tp>::epsilon();
  Tp max_abs_diff = -Tp(1);
  Tp max_abs_frac = -Tp(1);
  unsigned int num_datum = sizeof(data007)
                         / sizeof(testcase_beta<double>);
  for (unsigned int i = 0; i < num_datum; ++i)
    {
      const Tp f = std::tr1::beta(Tp(data007[i].x), Tp(data007[i].y));
      const Tp f0 = data007[i].f0;
      const Tp diff = f - f0;
      if (std::abs(diff) > max_abs_diff)
        max_abs_diff = std::abs(diff);
      if (std::abs(f0) > Tp(10) * eps
       && std::abs(f) > Tp(10) * eps)
        {
          const Tp frac = diff / f0;
          if (std::abs(frac) > max_abs_frac)
            max_abs_frac = std::abs(frac);
        }
    }
  VERIFY(max_abs_frac < Tp(1.0000000000000008e-12));
}

// Test data for x=80.000000000000000.
testcase_beta<double> data008[] = {
  { 1.9665612972502651e-14, 80.000000000000000, 10.000000000000000 },
  { 1.1660809542079041e-22, 80.000000000000000, 20.000000000000000 },
  { 5.4783729715317616e-29, 80.000000000000000, 30.000000000000000 },
  { 3.2734839142758369e-34, 80.000000000000000, 40.000000000000000 },
  { 1.0939382296458962e-38, 80.000000000000000, 50.000000000000000 },
  { 1.2902663809722593e-42, 80.000000000000000, 60.000000000000000 },
  { 4.0192274082013779e-46, 80.000000000000000, 70.000000000000000 },
  { 2.7160590828669411e-49, 80.000000000000000, 80.000000000000000 },
  { 3.4593773902125368e-52, 80.000000000000000, 90.000000000000000 },
  { 7.4807039968503468e-55, 80.000000000000000, 100.00000000000000 },
};

// Test function for x=80.000000000000000.
template <typename Tp>
void test008()
{
  const Tp eps = std::numeric_limits<Tp>::epsilon();
  Tp max_abs_diff = -Tp(1);
  Tp max_abs_frac = -Tp(1);
  unsigned int num_datum = sizeof(data008)
                         / sizeof(testcase_beta<double>);
  for (unsigned int i = 0; i < num_datum; ++i)
    {
      const Tp f = std::tr1::beta(Tp(data008[i].x), Tp(data008[i].y));
      const Tp f0 = data008[i].f0;
      const Tp diff = f - f0;
      if (std::abs(diff) > max_abs_diff)
        max_abs_diff = std::abs(diff);
      if (std::abs(f0) > Tp(10) * eps
       && std::abs(f) > Tp(10) * eps)
        {
          const Tp frac = diff / f0;
          if (std::abs(frac) > max_abs_frac)
            max_abs_frac = std::abs(frac);
        }
    }
  VERIFY(max_abs_frac < Tp(5.0000000000000029e-12));
}

// Test data for x=90.000000000000000.
testcase_beta<double> data009[] = {
  { 6.4187824828154399e-15, 90.000000000000000, 10.000000000000000 },
  { 1.3907944279729071e-23, 90.000000000000000, 20.000000000000000 },
  { 2.6183005659681346e-30, 90.000000000000000, 30.000000000000000 },
  { 6.7690629601315579e-36, 90.000000000000000, 40.000000000000000 },
  { 1.0442781609881063e-40, 90.000000000000000, 50.000000000000000 },
  { 6.0105571058570508e-45, 90.000000000000000, 60.000000000000000 },
  { 9.5865870063501807e-49, 90.000000000000000, 70.000000000000000 },
  { 3.4593773902125368e-52, 90.000000000000000, 80.000000000000000 },
  { 2.4416737907558032e-55, 90.000000000000000, 90.000000000000000 },
  { 3.0238531916564246e-58, 90.000000000000000, 100.00000000000000 },
};

// Test function for x=90.000000000000000.
template <typename Tp>
void test009()
{
  const Tp eps = std::numeric_limits<Tp>::epsilon();
  Tp max_abs_diff = -Tp(1);
  Tp max_abs_frac = -Tp(1);
  unsigned int num_datum = sizeof(data009)
                         / sizeof(testcase_beta<double>);
  for (unsigned int i = 0; i < num_datum; ++i)
    {
      const Tp f = std::tr1::beta(Tp(data009[i].x), Tp(data009[i].y));
      const Tp f0 = data009[i].f0;
      const Tp diff = f - f0;
      if (std::abs(diff) > max_abs_diff)
        max_abs_diff = std::abs(diff);
      if (std::abs(f0) > Tp(10) * eps
       && std::abs(f) > Tp(10) * eps)
        {
          const Tp frac = diff / f0;
          if (std::abs(frac) > max_abs_frac)
            max_abs_frac = std::abs(frac);
        }
    }
  VERIFY(max_abs_frac < Tp(1.0000000000000008e-12));
}

// Test data for x=100.00000000000000.
testcase_beta<double> data010[] = {
  { 2.3455339739604842e-15, 100.00000000000000, 10.000000000000000 },
  { 2.0365059099917614e-24, 100.00000000000000, 20.000000000000000 },
  { 1.6587948222122229e-31, 100.00000000000000, 30.000000000000000 },
  { 1.9797337118812366e-37, 100.00000000000000, 40.000000000000000 },
  { 1.4904121110954370e-42, 100.00000000000000, 50.000000000000000 },
  { 4.3922898898347209e-47, 100.00000000000000, 60.000000000000000 },
  { 3.7409127305819802e-51, 100.00000000000000, 70.000000000000000 },
  { 7.4807039968503468e-55, 100.00000000000000, 80.000000000000000 },
  { 3.0238531916564246e-58, 100.00000000000000, 90.000000000000000 },
  { 2.2087606931991853e-61, 100.00000000000000, 100.00000000000000 },
};

// Test function for x=100.00000000000000.
template <typename Tp>
void test010()
{
  const Tp eps = std::numeric_limits<Tp>::epsilon();
  Tp max_abs_diff = -Tp(1);
  Tp max_abs_frac = -Tp(1);
  unsigned int num_datum = sizeof(data010)
                         / sizeof(testcase_beta<double>);
  for (unsigned int i = 0; i < num_datum; ++i)
    {
      const Tp f = std::tr1::beta(Tp(data010[i].x), Tp(data010[i].y));
      const Tp f0 = data010[i].f0;
      const Tp diff = f - f0;
      if (std::abs(diff) > max_abs_diff)
        max_abs_diff = std::abs(diff);
      if (std::abs(f0) > Tp(10) * eps
       && std::abs(f) > Tp(10) * eps)
        {
          const Tp frac = diff / f0;
          if (std::abs(frac) > max_abs_frac)
            max_abs_frac = std::abs(frac);
        }
    }
  VERIFY(max_abs_frac < Tp(5.0000000000000029e-12));
}

int main(int, char**)
{
  test001<double>();
  test002<double>();
  test003<double>();
  test004<double>();
  test005<double>();
  test006<double>();
  test007<double>();
  test008<double>();
  test009<double>();
  test010<double>();
  return 0;
}