libstdc++-v3/testsuite/tr1/5_numerical_facilities/special_functions/20_riemann_zeta/check_value_pos.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/>.

//  riemann_zeta

// This can take long on simulators, timing out the test.
// { dg-options "-DMAX_ITERATIONS=5" { target simulator } }

#ifndef MAX_ITERATIONS
#define MAX_ITERATIONS (sizeof(data001) / sizeof(testcase_riemann_zeta<double>))
#endif

//  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.
testcase_riemann_zeta<double> data001[] = {
  { 5.5915824411777502, 1.2000000000000000 },
  { 3.1055472779775792, 1.3999999999999999 },
  { 2.2857656656801324, 1.6000000000000001 },
  { 1.8822296181028220, 1.8000000000000000 },
  { 1.6449340668482275, 2.0000000000000000 },
  { 1.4905432565068937, 2.2000000000000002 },
  { 1.3833428588407359, 2.3999999999999999 },
  { 1.3054778090727803, 2.6000000000000001 },
  { 1.2470314223172541, 2.7999999999999998 },
  { 1.2020569031595945, 3.0000000000000000 },
  { 1.1667733709844674, 3.2000000000000002 },
  { 1.1386637757280420, 3.3999999999999999 },
  { 1.1159890791233376, 3.6000000000000001 },
  { 1.0975105764590047, 3.7999999999999998 },
  { 1.0823232337111381, 4.0000000000000000 },
  { 1.0697514772338095, 4.2000000000000002 },
  { 1.0592817259798355, 4.4000000000000004 },
  { 1.0505173825665735, 4.5999999999999996 },
  { 1.0431480133351789, 4.7999999999999998 },
  { 1.0369277551433700, 5.0000000000000000 },
  { 1.0316598766779168, 5.2000000000000002 },
  { 1.0271855389203537, 5.4000000000000004 },
  { 1.0233754792270300, 5.5999999999999996 },
  { 1.0201237683883446, 5.7999999999999998 },
  { 1.0173430619844492, 6.0000000000000000 },
  { 1.0149609451852233, 6.2000000000000002 },
  { 1.0129170887121841, 6.4000000000000004 },
  { 1.0111610141542708, 6.5999999999999996 },
  { 1.0096503223447120, 6.7999999999999998 },
  { 1.0083492773819229, 7.0000000000000000 },
  { 1.0072276664807169, 7.2000000000000002 },
  { 1.0062598756930512, 7.4000000000000004 },
  { 1.0054241359879634, 7.5999999999999996 },
  { 1.0047019048164696, 7.7999999999999998 },
  { 1.0040773561979444, 8.0000000000000000 },
  { 1.0035369583062013, 8.1999999999999993 },
  { 1.0030691220374448, 8.4000000000000004 },
  { 1.0026639074861505, 8.5999999999999996 },
  { 1.0023127779098220, 8.8000000000000007 },
  { 1.0020083928260823, 9.0000000000000000 },
  { 1.0017444334995897, 9.1999999999999993 },
  { 1.0015154553480514, 9.4000000000000004 },
  { 1.0013167628052648, 9.5999999999999996 },
  { 1.0011443029840295, 9.8000000000000007 },
  { 1.0009945751278182, 10.000000000000000 },
  { 1.0008645533615086, 10.199999999999999 },
  { 1.0007516206744649, 10.400000000000000 },
  { 1.0006535124140847, 10.600000000000000 },
  { 1.0005682678503411, 10.800000000000001 },
  { 1.0004941886041194, 11.000000000000000 },
  { 1.0004298029239944, 11.199999999999999 },
  { 1.0003738349551168, 11.400000000000000 },
  { 1.0003251782761946, 11.600000000000000 },
  { 1.0002828730909989, 11.800000000000001 },
  { 1.0002460865533080, 12.000000000000000 },
  { 1.0002140957818750, 12.199999999999999 },
  { 1.0001862731874056, 12.400000000000000 },
  { 1.0001620737887460, 12.600000000000000 },
  { 1.0001410242422089, 12.800000000000001 },
  { 1.0001227133475783, 13.000000000000000 },
  { 1.0001067838280169, 13.199999999999999 },
  { 1.0000929252097515, 13.400000000000000 },
  { 1.0000808676518718, 13.600000000000000 },
  { 1.0000703765974504, 13.800000000000001 },
  { 1.0000612481350588, 14.000000000000000 },
  { 1.0000533049750668, 14.199999999999999 },
  { 1.0000463929582293, 14.400000000000000 },
  { 1.0000403780253397, 14.600000000000000 },
  { 1.0000351435864272, 14.800000000000001 },
  { 1.0000305882363070, 15.000000000000000 },
  { 1.0000266237704787, 15.199999999999999 },
  { 1.0000231734615617, 15.400000000000000 },
  { 1.0000201705617975, 15.600000000000000 },
  { 1.0000175570017611, 15.800000000000001 },
  { 1.0000152822594086, 16.000000000000000 },
  { 1.0000133023770337, 16.199999999999999 },
  { 1.0000115791066830, 16.399999999999999 },
  { 1.0000100791671644, 16.600000000000001 },
  { 1.0000087735980010, 16.800000000000001 },
  { 1.0000076371976379, 17.000000000000000 },
  { 1.0000066480348633, 17.199999999999999 },
  { 1.0000057870238734, 17.399999999999999 },
  { 1.0000050375546607, 17.600000000000001 },
  { 1.0000043851715013, 17.800000000000001 },
  { 1.0000038172932648, 18.000000000000000 },
  { 1.0000033229700953, 18.199999999999999 },
  { 1.0000028926717153, 18.399999999999999 },
  { 1.0000025181032419, 18.600000000000001 },
  { 1.0000021920449287, 18.800000000000001 },
  { 1.0000019082127167, 19.000000000000000 },
  { 1.0000016611368951, 19.199999999999999 },
  { 1.0000014460565094, 19.399999999999999 },
  { 1.0000012588274738, 19.600000000000001 },
  { 1.0000010958426055, 19.800000000000001 },
  { 1.0000009539620338, 20.000000000000000 },
  { 1.0000008304526344, 20.199999999999999 },
  { 1.0000007229353187, 20.399999999999999 },
  { 1.0000006293391575, 20.600000000000001 },
  { 1.0000005478614529, 20.800000000000001 },
  { 1.0000004769329869, 21.000000000000000 },
  { 1.0000004151877719, 21.199999999999999 },
  { 1.0000003614367254, 21.399999999999999 },
  { 1.0000003146447527, 21.600000000000001 },
  { 1.0000002739108020, 21.800000000000001 },
  { 1.0000002384505029, 22.000000000000000 },
  { 1.0000002075810521, 22.199999999999999 },
  { 1.0000001807080625, 22.399999999999999 },
  { 1.0000001573141093, 22.600000000000001 },
  { 1.0000001369487659, 22.800000000000001 },
  { 1.0000001192199262, 23.000000000000000 },
  { 1.0000001037862520, 23.199999999999999 },
  { 1.0000000903506006, 23.399999999999999 },
  { 1.0000000786543011, 23.600000000000001 },
  { 1.0000000684721728, 23.800000000000001 },
  { 1.0000000596081891, 24.000000000000000 },
  { 1.0000000518917020, 24.199999999999999 },
  { 1.0000000451741575, 24.399999999999999 },
  { 1.0000000393262332, 24.600000000000001 },
  { 1.0000000342353501, 24.800000000000001 },
  { 1.0000000298035037, 25.000000000000000 },
  { 1.0000000259453767, 25.199999999999999 },
  { 1.0000000225866978, 25.399999999999999 },
  { 1.0000000196628109, 25.600000000000001 },
  { 1.0000000171174297, 25.800000000000001 },
  { 1.0000000149015549, 26.000000000000000 },
  { 1.0000000129725304, 26.199999999999999 },
  { 1.0000000112932221, 26.399999999999999 },
  { 1.0000000098313035, 26.600000000000001 },
  { 1.0000000085586331, 26.800000000000001 },
  { 1.0000000074507118, 27.000000000000000 },
  { 1.0000000064862125, 27.199999999999999 },
  { 1.0000000056465688, 27.399999999999999 },
  { 1.0000000049156179, 27.600000000000001 },
  { 1.0000000042792894, 27.800000000000001 },
  { 1.0000000037253340, 28.000000000000000 },
  { 1.0000000032430887, 28.199999999999999 },
  { 1.0000000028232703, 28.399999999999999 },
  { 1.0000000024577977, 28.600000000000001 },
  { 1.0000000021396356, 28.800000000000001 },
  { 1.0000000018626598, 29.000000000000000 },
  { 1.0000000016215385, 29.199999999999999 },
  { 1.0000000014116306, 29.399999999999999 },
  { 1.0000000012288952, 29.600000000000001 },
  { 1.0000000010698147, 29.800000000000001 },
  { 1.0000000009313275, 30.000000000000000 },
};

// Test function.
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 = MAX_ITERATIONS;
  for (unsigned int i = 0; i < num_datum; ++i)
    {
      const Tp f = std::tr1::riemann_zeta(Tp(data001[i].x));
      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(2.5000000000000020e-13));
}

int main(int, char**)
{
  test001<double>();
  return 0;
}