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

   1 ///////////////////////////////////////////////////////////////
   2 //  Copyright 2011 John Maddock. Distributed under the Boost
   3 //  Software License, Version 1.0. (See accompanying file
   4 //  LICENSE_1_0.txt or copy at https://www.boost.org/LICENSE_1_0.txt
   5
   6 #ifdef _MSC_VER
   7 #define _SCL_SECURE_NO_WARNINGS
   8 #endif
   9
  10 #include "test.hpp"
  11
  12 #if !defined(TEST_MPF_50) && !defined(TEST_MPF) && !defined(TEST_BACKEND) && !defined(TEST_MPZ) &&         \
  13     !defined(TEST_CPP_DEC_FLOAT) && !defined(TEST_MPFR) && !defined(TEST_MPFR_50) && !defined(TEST_MPQ) && \
  14     !defined(TEST_TOMMATH) && !defined(TEST_CPP_INT) && !defined(TEST_MPFI_50) && !defined(TEST_FLOAT128) && !defined(TEST_CPP_BIN_FLOAT)
  15 #define TEST_MPF_50
  16 #define TEST_MPF
  17 #define TEST_BACKEND
  18 #define TEST_MPZ
  19 #define TEST_MPFR
  20 #define TEST_MPFR_50
  21 #define TEST_CPP_DEC_FLOAT
  22 #define TEST_MPQ
  23 #define TEST_TOMMATH
  24 #define TEST_CPP_INT
  25 #define TEST_MPFI_50
  26 #define TEST_FLOAT128
  27 #define TEST_CPP_BIN_FLOAT
  28
  29 #ifdef _MSC_VER
  30 #pragma message("CAUTION!!: No backend type specified so testing everything.... this will take some time!!")
  31 #endif
  32 #ifdef __GNUC__
  33 #pragma warning "CAUTION!!: No backend type specified so testing everything.... this will take some time!!"
  34 #endif
  35
  36 #endif
  37
  38 #if defined(TEST_MPF_50) || defined(TEST_MPF) || defined(TEST_MPZ) || defined(TEST_MPQ)
  39 #include <boost/multiprecision/gmp.hpp>
  40 #endif
  41 #ifdef TEST_BACKEND
  42 #include <boost/multiprecision/concepts/mp_number_archetypes.hpp>
  43 #endif
  44 #ifdef TEST_CPP_DEC_FLOAT
  45 #include <boost/multiprecision/cpp_dec_float.hpp>
  46 #endif
  47 #if defined(TEST_MPFR) || defined(TEST_MPFR_50)
  48 #include <boost/multiprecision/mpfr.hpp>
  49 #endif
  50 #if defined(TEST_MPFI_50)
  51 #include <boost/multiprecision/mpfi.hpp>
  52 #endif
  53 #ifdef TEST_TOMMATH
  54 #include <boost/multiprecision/tommath.hpp>
  55 #endif
  56 #ifdef TEST_CPP_INT
  57 #include <boost/multiprecision/cpp_int.hpp>
  58 #endif
  59 #ifdef TEST_FLOAT128
  60 #include <boost/multiprecision/float128.hpp>
  61 #endif
  62 #ifdef TEST_CPP_BIN_FLOAT
  63 #include <boost/multiprecision/cpp_bin_float.hpp>
  64 #endif
  65
  66 #ifdef BOOST_MSVC
  67 #pragma warning(disable : 4127)
  68 #endif
  69
  70 #define PRINT(x) \
  71    std::cout << BOOST_STRINGIZE(x) << " = " << std::numeric_limits<Number>::x << std::endl;
  72
  73 template <class Number>
  74 void test_specific(const boost::mpl::int_<boost::multiprecision::number_kind_floating_point>&)
  75 {
  76    Number minv, maxv;
  77    minv = (std::numeric_limits<Number>::min)();
  78    maxv = (std::numeric_limits<Number>::max)();
  79    BOOST_CHECK((boost::math::isnormal)(minv));
  80    BOOST_CHECK((boost::math::isnormal)(maxv));
  81    BOOST_CHECK((boost::math::isnormal)(log(minv)));
  82    BOOST_CHECK((boost::math::isnormal)(log(maxv)));
  83    BOOST_CHECK((boost::math::isnormal)(sqrt(minv)));
  84    BOOST_CHECK((boost::math::isnormal)(sqrt(maxv)));
  85
  86    if (std::numeric_limits<Number>::is_specialized)
  87    {
  88       if (std::numeric_limits<Number>::has_quiet_NaN)
  89       {
  90          BOOST_TEST((boost::math::isnan)(std::numeric_limits<Number>::quiet_NaN()));
  91          BOOST_TEST(FP_NAN == (boost::math::fpclassify)(std::numeric_limits<Number>::quiet_NaN()));
  92          BOOST_TEST(!(boost::math::isfinite)(std::numeric_limits<Number>::quiet_NaN()));
  93          BOOST_TEST(!(boost::math::isnormal)(std::numeric_limits<Number>::quiet_NaN()));
  94          BOOST_TEST(!(boost::math::isinf)(std::numeric_limits<Number>::quiet_NaN()));
  95       }
  96       if (std::numeric_limits<Number>::has_signaling_NaN)
  97       {
  98          BOOST_TEST((boost::math::isnan)(std::numeric_limits<Number>::signaling_NaN()));
  99          BOOST_TEST(FP_NAN == (boost::math::fpclassify)(std::numeric_limits<Number>::signaling_NaN()));
 100          BOOST_TEST(!(boost::math::isfinite)(std::numeric_limits<Number>::signaling_NaN()));
 101          BOOST_TEST(!(boost::math::isnormal)(std::numeric_limits<Number>::signaling_NaN()));
 102          BOOST_TEST(!(boost::math::isinf)(std::numeric_limits<Number>::signaling_NaN()));
 103       }
 104       if (std::numeric_limits<Number>::has_infinity)
 105       {
 106          BOOST_TEST((boost::math::isinf)(std::numeric_limits<Number>::infinity()));
 107          BOOST_TEST(FP_INFINITE == (boost::math::fpclassify)(std::numeric_limits<Number>::infinity()));
 108          BOOST_TEST(!(boost::math::isfinite)(std::numeric_limits<Number>::infinity()));
 109          BOOST_TEST(!(boost::math::isnormal)(std::numeric_limits<Number>::infinity()));
 110          BOOST_TEST(!(boost::math::isnan)(std::numeric_limits<Number>::infinity()));
 111       }
 112       if (std::numeric_limits<Number>::has_denorm == std::denorm_present)
 113       {
 114          BOOST_TEST(FP_SUBNORMAL == (boost::math::fpclassify)(std::numeric_limits<Number>::denorm_min()));
 115          BOOST_TEST(FP_SUBNORMAL == (boost::math::fpclassify)((std::numeric_limits<Number>::min)() / 2));
 116          BOOST_TEST((boost::math::isfinite)(std::numeric_limits<Number>::denorm_min()));
 117          BOOST_TEST(!(boost::math::isnormal)(std::numeric_limits<Number>::denorm_min()));
 118          BOOST_TEST(!(boost::math::isinf)(std::numeric_limits<Number>::denorm_min()));
 119          BOOST_TEST(!(boost::math::isnan)(std::numeric_limits<Number>::denorm_min()));
 120          BOOST_TEST(0 == std::numeric_limits<Number>::denorm_min() / 2);
 121          BOOST_TEST(0 != (std::numeric_limits<Number>::min)() / 2);
 122          BOOST_TEST(0 != std::numeric_limits<Number>::denorm_min());
 123       }
 124    }
 125    Number n = 0;
 126    BOOST_TEST((boost::math::fpclassify)(n) == FP_ZERO);
 127    BOOST_TEST((boost::math::isfinite)(n));
 128    BOOST_TEST(!(boost::math::isnormal)(n));
 129    BOOST_TEST(!(boost::math::isinf)(n));
 130    BOOST_TEST(!(boost::math::isnan)(n));
 131    n = 2;
 132    BOOST_TEST((boost::math::fpclassify)(n) == FP_NORMAL);
 133    BOOST_TEST((boost::math::isfinite)(n));
 134    BOOST_TEST((boost::math::isnormal)(n));
 135    BOOST_TEST(!(boost::math::isinf)(n));
 136    BOOST_TEST(!(boost::math::isnan)(n));
 137
 138    if (std::numeric_limits<Number>::round_style == std::round_to_nearest)
 139    {
 140       BOOST_CHECK_EQUAL(std::numeric_limits<Number>::round_error(), 0.5);
 141    }
 142    else if (std::numeric_limits<Number>::round_style != std::round_indeterminate)
 143    {
 144       // Round error is 1.0:
 145       BOOST_CHECK_EQUAL(std::numeric_limits<Number>::round_error(), 1);
 146    }
 147    else
 148    {
 149       // Round error is presumably somewhere between 0.5 and 1:
 150       BOOST_CHECK((std::numeric_limits<Number>::round_error() <= 1) && (std::numeric_limits<Number>::round_error() >= 0.5));
 151    }
 152 }
 153
 154 template <class Number>
 155 void test_specific(const boost::mpl::int_<boost::multiprecision::number_kind_integer>&)
 156 {
 157    if (std::numeric_limits<Number>::is_modulo)
 158    {
 159       if (!std::numeric_limits<Number>::is_signed)
 160       {
 161          BOOST_TEST(1 + (std::numeric_limits<Number>::max)() == 0);
 162          BOOST_TEST(--Number(0) == (std::numeric_limits<Number>::max)());
 163       }
 164    }
 165 }
 166
 167 template <class Number, class T>
 168 void test_specific(const T&)
 169 {
 170 }
 171
 172 template <class Number>
 173 void test()
 174 {
 175    typedef typename boost::mpl::if_c<
 176        std::numeric_limits<Number>::is_specialized,
 177        typename boost::multiprecision::number_category<Number>::type,
 178        boost::mpl::int_<500> // not a number type
 179        >::type fp_test_type;
 180
 181    test_specific<Number>(fp_test_type());
 182
 183    //
 184    // Note really a test just yet, but we can at least print out all the values:
 185    //
 186    std::cout << "numeric_limits values for type " << typeid(Number).name() << std::endl;
 187
 188    PRINT(is_specialized);
 189    if (std::numeric_limits<Number>::is_integer)
 190    {
 191       std::cout << std::hex << std::showbase;
 192    }
 193    std::cout << "max()"
 194              << " = " << (std::numeric_limits<Number>::max)() << std::endl;
 195    if (std::numeric_limits<Number>::is_integer)
 196    {
 197       std::cout << std::dec;
 198    }
 199    std::cout << "max()"
 200              << " = " << (std::numeric_limits<Number>::max)() << std::endl;
 201    std::cout << "min()"
 202              << " = " << (std::numeric_limits<Number>::min)() << std::endl;
 203 #ifndef BOOST_NO_CXX11_NUMERIC_LIMITS
 204    PRINT(lowest());
 205 #endif
 206    PRINT(digits);
 207    PRINT(digits10);
 208 #ifndef BOOST_NO_CXX11_NUMERIC_LIMITS
 209    PRINT(max_digits10);
 210 #endif
 211    PRINT(is_signed);
 212    PRINT(is_integer);
 213    PRINT(is_exact);
 214    PRINT(radix);
 215    PRINT(epsilon());
 216    PRINT(round_error());
 217    PRINT(min_exponent);
 218    PRINT(min_exponent10);
 219    PRINT(max_exponent);
 220    PRINT(max_exponent10);
 221    PRINT(has_infinity);
 222    PRINT(has_quiet_NaN);
 223    PRINT(has_signaling_NaN);
 224    PRINT(has_denorm);
 225    PRINT(has_denorm_loss);
 226    PRINT(infinity());
 227    PRINT(quiet_NaN());
 228    PRINT(signaling_NaN());
 229    PRINT(denorm_min());
 230    PRINT(is_iec559);
 231    PRINT(is_bounded);
 232    PRINT(is_modulo);
 233    PRINT(traps);
 234    PRINT(tinyness_before);
 235    PRINT(round_style);
 236 }
 237
 238 int main()
 239 {
 240 #ifdef TEST_BACKEND
 241    test<boost::multiprecision::number<boost::multiprecision::concepts::number_backend_float_architype> >();
 242 #endif
 243 #ifdef TEST_MPF_50
 244    test<boost::multiprecision::mpf_float_50>();
 245 #endif
 246 #ifdef TEST_MPF
 247    boost::multiprecision::mpf_float::default_precision(1000);
 248    /*
 249    boost::multiprecision::mpf_float r;
 250    r.precision(50);
 251    BOOST_TEST(r.precision() >= 50);
 252    */
 253    BOOST_TEST(boost::multiprecision::mpf_float::default_precision() == 1000);
 254    test<boost::multiprecision::mpf_float>();
 255 #endif
 256 #ifdef TEST_MPZ
 257    test<boost::multiprecision::mpz_int>();
 258 #endif
 259 #ifdef TEST_MPQ
 260    test<boost::multiprecision::mpq_rational>();
 261 #endif
 262 #ifdef TEST_CPP_DEC_FLOAT
 263    test<boost::multiprecision::cpp_dec_float_50>();
 264    test<boost::multiprecision::cpp_dec_float_100>();
 265 #endif
 266 #ifdef TEST_MPFR
 267    test<boost::multiprecision::mpfr_float>();
 268 #endif
 269 #ifdef TEST_MPFR_50
 270    test<boost::multiprecision::mpfr_float_50>();
 271 #endif
 272 #ifdef TEST_MPFI_50
 273    test<boost::multiprecision::mpfi_float_50>();
 274    test<boost::multiprecision::mpfi_float>();
 275 #endif
 276 #ifdef TEST_TOMMATH
 277    test<boost::multiprecision::tom_int>();
 278 #endif
 279 #ifdef TEST_CPP_INT
 280    test<boost::multiprecision::cpp_int>();
 281    test<boost::multiprecision::int256_t>();
 282    test<boost::multiprecision::uint512_t>();
 283    test<boost::multiprecision::number<boost::multiprecision::cpp_int_backend<200, 200, boost::multiprecision::unsigned_magnitude, boost::multiprecision::checked, void> > >();
 284    test<boost::multiprecision::number<boost::multiprecision::cpp_int_backend<70, 70, boost::multiprecision::signed_magnitude, boost::multiprecision::unchecked, void> > >();
 285 #endif
 286 #ifdef TEST_FLOAT128
 287    test<boost::multiprecision::float128>();
 288 #endif
 289 #ifdef TEST_CPP_BIN_FLOAT
 290    test<boost::multiprecision::cpp_bin_float_50>();
 291 #endif
 292    return boost::report_errors();
 293 }