ceph/src/boost/libs/multiprecision/test/test_asin.cpp

   1 ///////////////////////////////////////////////////////////////
   2 //  Copyright Christopher Kormanyos 2002 - 2011.
   3 //  Copyright 2011 John Maddock. Distributed under the Boost
   4 //  Software License, Version 1.0. (See accompanying file
   5 //  LICENSE_1_0.txt or copy at https://www.boost.org/LICENSE_1_0.txt
   6 //
   7 // This work is based on an earlier work:
   8 // "Algorithm 910: A Portable C++ Multiple-Precision System for Special-Function Calculations",
   9 // in ACM TOMS, {VOL 37, ISSUE 4, (February 2011)} (C) ACM, 2011. http://doi.acm.org/10.1145/1916461.1916469
  10
  11 #ifdef _MSC_VER
  12 #define _SCL_SECURE_NO_WARNINGS
  13 #endif
  14
  15 #include <boost/detail/lightweight_test.hpp>
  16 #include <boost/array.hpp>
  17 #include "test.hpp"
  18
  19 #if !defined(TEST_MPF_50) && !defined(TEST_MPF) && !defined(TEST_BACKEND) && !defined(TEST_CPP_DEC_FLOAT) && !defined(TEST_MPFR) && !defined(TEST_MPFR_50) && !defined(TEST_MPFI_50) && !defined(TEST_FLOAT128) && !defined(TEST_CPP_BIN_FLOAT)
  20 #define TEST_MPF_50
  21 //#  define TEST_MPF
  22 #define TEST_BACKEND
  23 #define TEST_CPP_DEC_FLOAT
  24 #define TEST_MPFI_50
  25 #define TEST_FLOAT128
  26 #define TEST_CPP_BIN_FLOAT
  27
  28 #ifdef _MSC_VER
  29 #pragma message("CAUTION!!: No backend type specified so testing everything.... this will take some time!!")
  30 #endif
  31 #ifdef __GNUC__
  32 #pragma warning "CAUTION!!: No backend type specified so testing everything.... this will take some time!!"
  33 #endif
  34
  35 #endif
  36
  37 #if defined(TEST_MPF_50)
  38 #include <boost/multiprecision/gmp.hpp>
  39 #endif
  40 #if defined(TEST_MPFR_50)
  41 #include <boost/multiprecision/mpfr.hpp>
  42 #endif
  43 #if defined(TEST_MPFI_50)
  44 #include <boost/multiprecision/mpfi.hpp>
  45 #endif
  46 #ifdef TEST_BACKEND
  47 #include <boost/multiprecision/concepts/mp_number_archetypes.hpp>
  48 #endif
  49 #ifdef TEST_CPP_DEC_FLOAT
  50 #include <boost/multiprecision/cpp_dec_float.hpp>
  51 #endif
  52 #ifdef TEST_FLOAT128
  53 #include <boost/multiprecision/float128.hpp>
  54 #endif
  55 #ifdef TEST_CPP_BIN_FLOAT
  56 #include <boost/multiprecision/cpp_bin_float.hpp>
  57 #endif
  58
  59 template <class T>
  60 void test()
  61 {
  62    std::cout << "Testing type: " << typeid(T).name() << std::endl;
  63    //
  64    // Test with some exact binary values as input - this tests our code
  65    // rather than the test data:
  66    //
  67    static const boost::array<boost::array<T, 2>, 6> exact_data =
  68        {{
  69            {{0.5, static_cast<T>("0.523598775598298873077107230546583814032861566562517636829157432051302734381034833104672470890352844663691347752213717775")}},
  70            {{0.25, static_cast<T>("0.252680255142078653485657436993710972252193733096838193633923778740575060481021222411748742228014601605092602909414066566")}},
  71            {{0.75, static_cast<T>("0.848062078981481008052944338998418080073366213263112642860718163570200821228474234349189801731957230300995227265307531834")}},
  72            {{std::ldexp(1.0, -20), static_cast<T>("9.53674316406394560289664793089102218648031077292419572854816420395098616062014311172490017625353237219958438022056661501e-7")}},
  73            {{1 - std::ldexp(1.0, -20), static_cast<T>("1.56941525875313420204921285316218397515809899320201864334535204504240776023375739189119474528488143494473216475057072728")}},
  74            {{1, static_cast<T>("1.57079632679489661923132169163975144209858469968755291048747229615390820314310449931401741267105853399107404325664115332354692230477529111586267970406424055872514205135096926055277982231147447746519098221440548783296672306423782411689339158263560095457282428346173017430522716332410669680363012457064")}},
  75        }};
  76    unsigned max_err = 0;
  77    for (unsigned k = 0; k < exact_data.size(); k++)
  78    {
  79       T        val = asin(exact_data[k][0]);
  80       T        e   = relative_error(val, exact_data[k][1]);
  81       unsigned err = e.template convert_to<unsigned>();
  82       if (err > max_err)
  83          max_err = err;
  84       val = asin(-exact_data[k][0]);
  85       e   = relative_error(val, T(-exact_data[k][1]));
  86       err = e.template convert_to<unsigned>();
  87       if (err > max_err)
  88       {
  89          max_err = err;
  90       }
  91    }
  92    std::cout << "Max error was: " << max_err << std::endl;
  93    BOOST_TEST(max_err < 20);
  94    BOOST_TEST(asin(T(0)) == 0);
  95 }
  96
  97 int main()
  98 {
  99 #ifdef TEST_BACKEND
 100    test<boost::multiprecision::number<boost::multiprecision::concepts::number_backend_float_architype> >();
 101 #endif
 102 #ifdef TEST_MPF_50
 103    test<boost::multiprecision::mpf_float_50>();
 104    test<boost::multiprecision::mpf_float_100>();
 105 #endif
 106 #ifdef TEST_MPFR_50
 107    test<boost::multiprecision::mpfr_float_50>();
 108    test<boost::multiprecision::mpfr_float_100>();
 109 #endif
 110 #ifdef TEST_MPFI_50
 111    test<boost::multiprecision::mpfi_float_50>();
 112    test<boost::multiprecision::mpfi_float_100>();
 113 #endif
 114 #ifdef TEST_CPP_DEC_FLOAT
 115    test<boost::multiprecision::cpp_dec_float_50>();
 116    test<boost::multiprecision::cpp_dec_float_100>();
 117 #ifndef SLOW_COMPLER
 118    // Some "peculiar" digit counts which stress our code:
 119    test<boost::multiprecision::number<boost::multiprecision::cpp_dec_float<65> > >();
 120    test<boost::multiprecision::number<boost::multiprecision::cpp_dec_float<64> > >();
 121    test<boost::multiprecision::number<boost::multiprecision::cpp_dec_float<63> > >();
 122    test<boost::multiprecision::number<boost::multiprecision::cpp_dec_float<62> > >();
 123    test<boost::multiprecision::number<boost::multiprecision::cpp_dec_float<61, long long> > >();
 124    test<boost::multiprecision::number<boost::multiprecision::cpp_dec_float<60, long long> > >();
 125    test<boost::multiprecision::number<boost::multiprecision::cpp_dec_float<59, long long, std::allocator<char> > > >();
 126    test<boost::multiprecision::number<boost::multiprecision::cpp_dec_float<58, long long, std::allocator<char> > > >();
 127    // Check low multiprecision digit counts.
 128    test<boost::multiprecision::number<boost::multiprecision::cpp_dec_float<9> > >();
 129    test<boost::multiprecision::number<boost::multiprecision::cpp_dec_float<18> > >();
 130 #endif
 131 #endif
 132 #ifdef TEST_FLOAT128
 133    test<boost::multiprecision::float128>();
 134 #endif
 135 #ifdef TEST_CPP_BIN_FLOAT
 136    test<boost::multiprecision::cpp_bin_float_50>();
 137    test<boost::multiprecision::number<boost::multiprecision::cpp_bin_float<35, boost::multiprecision::digit_base_10, std::allocator<char>, long long> > >();
 138 #endif
 139    return boost::report_errors();
 140 }