ceph/src/boost/libs/multiprecision/doc/numeric_limits_qbk.cpp

   1 // Copyright Paul A. Bristow 2013
   2
   3 // Use, modification and distribution are subject to the
   4 // Boost Software License, Version 1.0.
   5 // (See accompanying file LICENSE_1_0.txt
   6 // or copy at http://www.boost.org/LICENSE_1_0.txt)
   7
   8 // Program to list all numeric_limits items for any type to a file in Quickbook format.
   9
  10 // C standard http://www.open-std.org/jtc1/sc22/wg11/docs/n507.pdf
  11 // SC22/WG11 N507 DRAFT INTERNATIONAL ISO/IEC STANDARD WD 10967-1
  12 // Information technology Language independent arithmetic Part 1: Integer and Floating point arithmetic
  13
  14 /* E.3 C++
  15 The programming language C++ is defined by ISO/IEC 14882:1998, Programming languages C++ [18].
  16 An implementation should follow all the requirements of LIA-1 unless otherwise specified by
  17 this language binding.
  18 */
  19
  20 // http://754r.ucbtest.org/standards/754.pdf
  21
  22 // http://www.cesura17.net/~will/Professional/Research/Papers/retrospective.pdf
  23
  24 // http://www.exploringbinary.com/using-integers-to-check-a-floating-point-approximation/
  25
  26 // http://stackoverflow.com/questions/12466745/how-to-convert-float-to-doubleboth-stored-in-ieee-754-representation-without-loss
  27
  28
  29 #ifdef _MSC_VER
  30 #  pragma warning (disable : 4127)  // conditional expression is constant.
  31 #  pragma warning (disable : 4100)  // unreferenced formal parameter.
  32 #endif
  33
  34
  35 #include <iostream>
  36 #include <iomanip>
  37 #include <string>
  38 #include <sstream>
  39 #include <fstream>
  40 #include <limits> // numeric_limits
  41
  42 #include <typeinfo>
  43
  44 #include <boost/version.hpp>
  45 #include <boost/config.hpp>
  46
  47 // May need extra includes for other types, for example:
  48 #include <boost/multiprecision/cpp_dec_float.hpp> // is decimal.
  49 #include <boost/multiprecision/cpp_bin_float.hpp> // is binary.
  50
  51
  52 // Assume that this will be run on MSVC to get the 32 or 64 bit info.
  53 #ifdef _WIN32
  54   std::string bits32_64 = "32";
  55 std::string filename = "numeric_limits_32_tables.qbk";
  56 #else
  57   std::string bits32_64 = "64";
  58 std::string filename = "numeric_limits_64_tables.qbk";
  59 #endif
  60
  61 #ifdef INT32_T_MAX
  62   int i = INT256_T_MAX;
  63 #endif
  64
  65 std::array<std::string, 16> integer_type_names =
  66 {
  67 "bool",
  68 "char",
  69 "unsigned char",
  70 "char16_t",
  71 "char32_t",
  72 "short",
  73 "unsigned short",
  74 "int",
  75 "unsigned int",
  76 "long",
  77 "unsigned long",
  78 "long long",
  79 "unsigned long long",
  80 "int32_t",
  81 //"uint32_t",
  82 "int64_t",
  83 //"uint64_t",
  84 "int128_t",
  85 //"uint128_t" // Too big?
  86 //"int256_t",
  87 //"uint256_t"
  88 //"int512_t"
  89 };
  90
  91 std::array<std::string, 6> float_type_names =
  92 {
  93   "function", "float", "double", "long double", "cpp_dec_50", "cpp_bin_128"
  94 };
  95
  96 // Table headings for integer constants.
  97 std::array<std::string, 8> integer_constant_heads =
  98 {
  99     "type", "signed", "bound", "modulo", "round", "radix", "digits", "digits10", // "max_digits10"
 100 };
 101
 102 // Table headings for integer functions.
 103 std::array<std::string, 2> integer_function_heads =
 104 {
 105   "max", // "lowest",  assumes is same for all integer types, so not worth listing.
 106   "min"
 107 };
 108
 109 // Table headings for float constants.
 110 std::array<std::string, 12> float_constant_heads =
 111 {
 112     "type", // "signed", "exact", "bound", // "modulo",
 113     "round", "radix", "digits", "digits10", "max_digits10", "min_exp", "min_exp10", "max_exp", "max_exp10", "tiny", "trap"
 114 };
 115
 116 // Table headings for float functions.
 117 std::array<std::string, 10> float_function_heads =
 118 {
 119   "function", "max", "lowest", "min", "eps", "round", "infinity", "NaN", "sig_NaN", "denorm_min"
 120 };
 121
 122 std::string versions()
 123 { // Build a string of info about Boost, platform, STL, etc.
 124   std::stringstream mess;
 125   //mess << "\n" << "Program:\n\" " __FILE__  << "\"\n"; // \n is mis-interpreted!
 126   mess << "\n" << "Program:\n numeric_limits_qbk.cpp \n";
 127 #ifdef __TIMESTAMP__
 128   mess << __TIMESTAMP__;
 129 #endif
 130   mess << "\nBuildInfo:\n" "  Platform " << BOOST_PLATFORM;
 131   mess << "\n  Compiler " BOOST_COMPILER;
 132 #ifdef _MSC_FULL_VER
 133   mess << "\n  MSVC version "<< BOOST_STRINGIZE(_MSC_FULL_VER) << ".";
 134 #endif
 135   mess << "\n  STL " BOOST_STDLIB;
 136   mess << "\n  Boost version " << BOOST_VERSION/100000 << "." << BOOST_VERSION/100 % 1000 << "." << BOOST_VERSION % 100 << std::endl;
 137   return mess.str();
 138 } // std::string versions()
 139
 140 template <typename T>
 141 void out_round_style(std::ostream& os)
 142 { //! Send short string describing STD::round_style to stream os.
 143     // os << "Round style is ";
 144     if (std::numeric_limits<T>::round_style == std::round_indeterminate)
 145     {
 146      os << "indeterminate" ;
 147     }
 148     else if (std::numeric_limits<T>::round_style == std::round_toward_zero)
 149     {
 150       os << "to zero" ;
 151     }
 152     else if (std::numeric_limits<T>::round_style == std::round_to_nearest)
 153     {
 154       os << "to nearest" ;
 155     }
 156     else if (std::numeric_limits<T>::round_style == std::round_toward_infinity)
 157     {
 158       os << "to infin[]"; // Or << "to \u221E"  << "to infinity" ;
 159     }
 160     else if (std::numeric_limits<T>::round_style == std::round_toward_neg_infinity)
 161     {
 162       os << "to -infin[]" ;
 163     }
 164     else
 165     {
 166       os << "undefined!";
 167       std::cout << "std::numeric_limits<T>::round_style is undefined value!" << std::endl;
 168     }
 169     return;
 170 } // out_round_style(std::ostream& os);
 171
 172 template<typename T>
 173 void integer_constants(std::string type_name, std::ostream& os)
 174 { //! Output a line of table integer constant values to ostream os.
 175     os << "\n["
 176           "[" << type_name << "]" ;
 177     os << "[" << (std::numeric_limits<T>::is_signed ? "signed" : "unsigned") << "]" ;
 178     // Is always exact for integer types, so removed:
 179     // os << "[" << (std::numeric_limits<T>::is_exact ? "exact" : "inexact") << "]" ;
 180     os << "[" << (std::numeric_limits<T>::is_bounded ? "bound" : "unbounded") << "]" ;
 181     os << "[" << (std::numeric_limits<T>::is_modulo ? "modulo" : "no") << "]" ;
 182     os << "[" ; out_round_style<T>(os); os << "]" ;
 183     os << "[" << std::numeric_limits<T>::radix << "]" ;
 184     os << "[" << std::numeric_limits<T>::digits << "]" ;
 185     os << "[" << std::numeric_limits<T>::digits10 << "]" ;
 186     // Undefined for integers, so removed:
 187    // os << "[" << std::numeric_limits<T>::max_digits10 << "]"
 188      os << "]";
 189 } // void integer_constants
 190
 191
 192 template<typename T>
 193 void float_constants(std::string type_name, std::ostream& os)
 194 { //! Output a row of table values to `ostream` os.
 195     os << "\n["
 196           "[" << type_name << "]" ;
 197     //os << "[" << (std::numeric_limits<T>::is_signed ? "signed" : "unsigned") << "]" ;
 198     //os << "[" << (std::numeric_limits<T>::is_exact ? "exact" : "inexact") << "]" ;
 199     //os << "[" << (std::numeric_limits<T>::is_bounded ? "bound" : "no") << "]" ;
 200     // os << "[" << (std::numeric_limits<T>::is_modulo ? "modulo" : "no") << "]" ;
 201     os << "[" ; out_round_style<T>(os); os << "]" ;
 202     os << "[" << std::numeric_limits<T>::radix << "]" ;
 203     os << "[" << std::numeric_limits<T>::digits << "]" ;
 204     os << "[" << std::numeric_limits<T>::digits10 << "]" ;
 205     os << "[" << std::numeric_limits<T>::max_digits10 << "]";
 206     os << "[" << std::numeric_limits<T>::min_exponent << "]" ;
 207     os << "[" << std::numeric_limits<T>::min_exponent10 << "]" ;
 208     os << "[" << std::numeric_limits<T>::max_exponent << "]" ;
 209     os << "[" << std::numeric_limits<T>::max_exponent10  << "]" ;
 210     os << "[" << (std::numeric_limits<T>::tinyness_before ? "tiny" : "no") << "]" ;
 211     os << "[" << (std::numeric_limits<T>::traps ? "traps" : "no") << "]" ;
 212     os << "]" "\n"; // end of row.
 213 } // void float_constants
 214
 215 /* Types across and two functions down.
 216
 217 template<typename T>
 218 void integer_functions(std::string type_name, std::ostream& os)
 219 { //! Output a line of table integer function values to `ostream` os.
 220     os << "\n["
 221           "[" << type_name << "]" ;
 222     os << "[" << std::numeric_limits<T>::max() << "]" ;
 223     //os << "[" << std::numeric_limits<T>::lowest() << "]" ;  always == min for integer types,
 224     // so removed to save space.
 225     os << "[" << std::numeric_limits<T>::min() << "]"
 226       "]";
 227 } // void integer_functions
 228
 229 */
 230
 231 // Types down and two (or three) functions across.
 232 template<typename T>
 233 void integer_functions(std::string type_name, std::ostream& os)
 234 { //! Output a line of table integer function values to `ostream` os.
 235     os << "\n[" // start of row.
 236           "[" << type_name << "]" ;
 237     os << "[" << std::numeric_limits<T>::max() << "]" ;
 238    // os << "[" << std::numeric_limits<T>::lowest() << "]" ;
 239     os << "[" << std::numeric_limits<T>::min() << "]" ;
 240     os <<  "]"; // end of row.
 241 } // void integer_functions
 242
 243
 244 template<typename T>
 245 void float_functions(std::string type_name, std::ostream& os)
 246 { //! Output a line of table float-point function values to `ostream` os.
 247     os << "\n[" // start of row.
 248           "[" << type_name << "]" ;
 249     os << "[" << std::numeric_limits<T>::max() << "]" ;
 250     os << "[" << std::numeric_limits<T>::lowest() << "]" ;
 251     os << "[" << std::numeric_limits<T>::min() << "]"
 252     os << "[" << std::numeric_limits<T>::epsilon() << "]"
 253     os << "[" << std::numeric_limits<T>::round_error() << "]"
 254     os << "[" << std::numeric_limits<T>::infinity() << "]"
 255     os << "[" << std::numeric_limits<T>::quiet_NaN() << "]"
 256     os << "[" << std::numeric_limits<T>::signaling_NaN() << "]"
 257     os << "[" << std::numeric_limits<T>::denorm_min() << "]"
 258       "]"; // end of row.
 259 } // void float_functions
 260
 261 template<typename T>
 262 int numeric_limits_list(std::string description)
 263 {//!  Output numeric_limits for numeric_limits<T>, for example `numeric_limits_list<bool>()`.
 264   // This is not used for Quickbook format.
 265   // std::cout << versions()  << std::endl;
 266
 267   std::cout << "\n" << description << "\n"  << std::endl; // int, int64_t rather than full long typeid(T).name().
 268
 269   std::cout << "Type " << typeid(T).name() << " std::numeric_limits::<" << typeid(T).name() << ">\n"  << std::endl;
 270   // ull long typeid(T).name()
 271
 272   if (std::numeric_limits<T>::is_specialized == false)
 273   {
 274     std::cout << "type " << typeid(T).name()  << " is not specialized for std::numeric_limits!" << std::endl;
 275     //return -1;
 276   }
 277
 278   // Member constants.
 279
 280   std::cout << (std::numeric_limits<T>::is_signed ? "is signed." : "unsigned.")  << std::endl;
 281   std::cout << (std::numeric_limits<T>::is_integer ? "is integer." : "not integer (fixed or float-point).")  << std::endl;
 282   std::cout << (std::numeric_limits<T>::is_exact ? "is exact." : "not exact.")  << std::endl;
 283   std::cout << (std::numeric_limits<T>::has_infinity ? "has infinity." : "no infinity.")  << std::endl;
 284   std::cout << (std::numeric_limits<T>::has_quiet_NaN ? "has quiet NaN." : "no quiet NaN.")  << std::endl;
 285   std::cout << (std::numeric_limits<T>::has_signaling_NaN ? "has signaling NaN." : "no signaling NaN.")  << std::endl;
 286   if (!std::numeric_limits<T>::is_integer)
 287   { // is floating_point
 288     std::cout << "Denorm style is " ;
 289     if (std::numeric_limits<T>::has_denorm == std::denorm_absent)
 290     {
 291       std::cout << "denorm_absent." << std::endl;
 292     }
 293     else if (std::numeric_limits<T>::has_denorm == std::denorm_present)
 294     {
 295       std::cout << "denorm_present." << std::endl;
 296     }
 297     else if (std::numeric_limits<T>::has_denorm == std::denorm_indeterminate)
 298     {
 299       std::cout << "denorm_indeterminate." << std::endl;
 300     }
 301     else
 302     {
 303       std::cout << "std::numeric_limits<T>::has_denorm unexpected value!" << std::endl;
 304     }
 305
 306     std::cout << (std::numeric_limits<T>::has_denorm_loss ? "has denorm loss." : "no denorm loss.")  << std::endl;
 307     // true if a loss of accuracy is detected as a denormalization loss, rather than an inexact result.
 308
 309     std::cout << "Round style is ";
 310     if (std::numeric_limits<T>::round_style == std::round_indeterminate)
 311     {
 312       std::cout << "round_indeterminate!" << std::endl;
 313     }
 314     else if (std::numeric_limits<T>::round_style == std::round_toward_zero)
 315     {
 316       std::cout << "round_toward_zero." << std::endl;
 317     }
 318     else if (std::numeric_limits<T>::round_style == std::round_to_nearest)
 319     {
 320       std::cout << "round_to_nearest." << std::endl;
 321     }
 322     else if (std::numeric_limits<T>::round_style == std::round_toward_infinity)
 323     {
 324       std::cout << "round_toward_infinity." << std::endl;
 325     }
 326     else if (std::numeric_limits<T>::round_style == std::round_toward_neg_infinity)
 327     {
 328       std::cout << "round_toward_neg_infinity." << std::endl;
 329     }
 330     else
 331     {
 332       std::cout << "undefined value!" << std::endl;
 333     }
 334
 335   } // is floating_point
 336
 337   std::cout << (std::numeric_limits<T>::is_iec559 ? "is IEC599." : "not IEC599.")  << std::endl;
 338   std::cout << (std::numeric_limits<T>::is_bounded ? "is bound." : "unbounded.")  << std::endl;
 339   std::cout << (std::numeric_limits<T>::is_modulo ? "is modulo." : "no modulo.")  << std::endl;
 340   std::cout << std::dec << "radix " << std::numeric_limits<T>::radix  << std::endl;
 341   std::cout << "digits " << std::numeric_limits<T>::digits  << std::endl;
 342   std::cout << "digits10 " << std::numeric_limits<T>::digits10  << std::endl;
 343
 344   std::cout.precision(std::numeric_limits<T>::max_digits10); // Full precision for floating-point values like max, min ...
 345
 346   std::cout << "max_digits10 " << std::numeric_limits<T>::max_digits10  << std::endl;
 347   std::cout << "min_exponent " << std::numeric_limits<T>::min_exponent  << std::endl;
 348   std::cout << "min_exponent10 " << std::numeric_limits<T>::min_exponent10  << std::endl;
 349   std::cout << "max_exponent " << std::numeric_limits<T>::max_exponent  << std::endl;
 350   std::cout << "max_exponent10 " << std::numeric_limits<T>::max_exponent10  << std::endl;
 351
 352   std::cout << (std::numeric_limits<T>::tinyness_before ? "Can tiny values before rounding." : "no tinyness_before.")  << std::endl;
 353   // true if the type can detect tiny values before rounding; false if it cannot.
 354   std::cout << (std::numeric_limits<T>::traps ? "traps" : "no trapping.")  << std::endl;
 355   // Whether trapping that reports on arithmetic exceptions is implemented for a type.
 356
 357   std::cout << "Member functions." << std::endl;
 358   // (assumes operator<< for type T is available).
 359   // If floating-point then hex format may not be available.
 360
 361   std::cout << "max = " << std::numeric_limits<T>::max() << std::endl;
 362   //if (std::numeric_limits<T>::is_integer)
 363   //{
 364   //  std::cout << "    = " << std::hex << std::numeric_limits<T>::max() << std::endl;
 365   //}
 366
 367   std::cout << "lowest = " << std::dec << std::numeric_limits<T>::lowest() << std::endl;
 368   //if (std::numeric_limits<T>::is_integer)
 369   //{
 370   //   std::cout << "       = " << std::hex << std::numeric_limits<T>::lowest() << std::endl;
 371   //}
 372
 373   std::cout << "min = " << std::dec << std::numeric_limits<T>::min() << std::endl;
 374   //if (std::numeric_limits<T>::is_integer)
 375   //{
 376   //  std::cout << "    = " << std::hex << std::numeric_limits<T>::min() << std::endl;
 377   //}
 378
 379   std::cout << "epsilon = " << std::dec << std::numeric_limits<T>::epsilon() << std::endl;
 380   //if (std::numeric_limits<T>::is_integer)
 381   //{
 382   //  std::cout << "        = " << std::hex << std::numeric_limits<T>::epsilon() << std::endl;
 383   //}
 384   // round_error is always zero for integer types.
 385   // round_error is usually 1/2 = (T)0.5 for floating-point types.
 386   // round_error is ? for fixed-point.
 387   std::cout << "round_error = " << std::numeric_limits<T>::round_error() << " ULP." << std::endl;
 388
 389   std::cout << "infinity = " << std::dec << std::numeric_limits<T>::infinity() << std::endl;
 390   std::cout << "         = " << std::hex << std::numeric_limits<T>::infinity() << std::endl;
 391
 392   std::cout << "quiet_NaN = " << std::dec << std::numeric_limits<T>::quiet_NaN() << std::endl;
 393   std::cout << "          = " << std::hex << std::numeric_limits<T>::quiet_NaN() << std::endl;
 394
 395   std::cout << "signaling_NaN = " << std::dec << std::numeric_limits<T>::signaling_NaN() << std::endl;
 396   std::cout << "              = " << std::hex << std::numeric_limits<T>::signaling_NaN() << std::endl;
 397
 398   //  Only meaningful if (std::numeric_limits<T>::has_denorm == std::denorm_present)
 399   // so might not bother to show if absent?
 400   std::cout << "denorm_min = " << std::numeric_limits<T>::denorm_min()  << std::endl;
 401   std::cout << "           = " << std::numeric_limits<T>::denorm_min()  << std::endl;
 402   return 0;
 403 }
 404
 405 int main()
 406 {
 407
 408
 409
 410   try
 411   {
 412     using namespace boost::multiprecision;
 413
 414     std::cout << versions() << std::endl;
 415
 416     std::ofstream fout(filename, std::ios_base::out);
 417     if (!fout.is_open())
 418     {
 419       std::cout << "Unable to open file " << filename << " for output.\n" << std::endl;
 420       return -1; // boost::EXIT_FAILURE;
 421     }
 422     fout <<
 423       "[/""\n"
 424       "Copyright 2013 Paul A. Bristow.""\n"
 425       "Copyright 2013 John Maddock.""\n"
 426       "Distributed under the Boost Software License, Version 1.0.""\n"
 427       "(See accompanying file LICENSE_1_0.txt or copy at""\n"
 428       "http://www.boost.org/LICENSE_1_0.txt).""\n"
 429       "]""\n"
 430     << std::endl;
 431
 432     fout << "[section:limits"<< bits32_64 << " Numeric limits for " << bits32_64 << "-bit platform]" << std::endl;
 433
 434     // Output platform version info (32 or 64).
 435     fout << "These tables were generated using the following program and options:\n\n"
 436       "[pre""\n"
 437       << versions()
 438       << "]""\n"
 439       << std::endl;
 440
 441     fout << "[table:integral_constants Integer types constants (`std::numeric_limits<T>::is_integer == true` && is_exact == true)" "\n"
 442       "[";
 443
 444     for (size_t i = 0; i < integer_constant_heads.size(); i++)
 445     { // signed, bound, modulo ...
 446       fout << "[" << integer_constant_heads[i] << "]" ;
 447     }
 448     fout << "]";
 449
 450     integer_constants<bool>("bool", fout);
 451     integer_constants<char>("char", fout);
 452     integer_constants<unsigned char>("unsigned char", fout);
 453     integer_constants<char16_t>("char16_t", fout);
 454     integer_constants<char32_t>("char32_t", fout);
 455     integer_constants<short>("short", fout);
 456     integer_constants<unsigned short>("unsigned short", fout);
 457     integer_constants<int>("int", fout);
 458     integer_constants<unsigned int>("unsigned", fout);
 459     integer_constants<long>("long", fout);
 460     integer_constants<unsigned long>("unsigned long", fout);
 461     integer_constants<long long>("long long", fout);
 462     integer_constants<unsigned long long>("unsigned long long", fout);
 463     integer_constants<int32_t>("int32_t", fout);
 464     integer_constants<uint32_t>("uint32_t", fout);
 465     integer_constants<int64_t>("int64_t", fout);
 466     integer_constants<uint64_t>("uint64_t", fout);
 467     integer_constants<int128_t>("int128_t", fout);
 468     integer_constants<uint128_t>("uint128_t", fout);
 469     integer_constants<int256_t>("int256_t", fout);
 470     integer_constants<uint256_t>("uint256_t", fout);
 471    // integer_constants<int512_t>("int512_t", fout);
 472     //integer_constants<uint512_t>("uint512_t", fout); // Too big?
 473     integer_constants<cpp_int>("cpp_int", fout);
 474
 475     fout << "\n]\n\n";
 476
 477
 478     fout << "[table:integral_functions Integer types functions (`std::numeric_limits<T>::is_integer == true && std::numeric_limits<T>::min() == std::numeric_limits<T>::lowest()` )" "\n"
 479       "[";
 480     // Display types across the page, and 2 (or 3) functions as rows.
 481
 482     fout << "[function]";
 483     for (size_t i = 0; i < integer_function_heads.size(); i++)
 484     {
 485       fout << "[" << integer_function_heads[i] << "]" ;
 486     }
 487     fout << "]"; // end of headings.
 488     integer_functions<bool>("bool", fout);
 489     //integer_functions<char>("char", fout); // Need int value not char.
 490     fout << "\n[" // start of row.
 491        "[" << "char"<< "]" ;
 492     fout << "[" << static_cast<int>((std::numeric_limits<char>::max)()) << "]" ;
 493    // fout << "[" << (std::numeric_limits<T>::lowest)() << "]" ;
 494     fout << "[" << static_cast<int>((std::numeric_limits<char>::min)()) << "]" ;
 495     fout <<  "]"; // end of row.
 496     //integer_functions<unsigned char>("unsigned char", fout); // Need int value not char.
 497     fout << "\n[" // start of row.
 498        "[" << "unsigned char"<< "]" ;
 499     fout << "[" << static_cast<int>((std::numeric_limits<unsigned char>::max)()) << "]" ;
 500    // fout << "[" << std::numeric_limits<unsigned char>::lowest() << "]" ;
 501     fout << "[" << static_cast<int>(std::numeric_limits<unsigned char>::min()) << "]" ;
 502     fout <<  "]"; // end of row.
 503
 504     integer_functions<char16_t>("char16_t", fout);
 505     integer_functions<char32_t>("char32_t", fout);
 506     integer_functions<short>("short", fout);
 507     integer_functions<unsigned short>("unsigned short", fout);
 508     integer_functions<int>("int", fout);
 509     integer_functions<unsigned int>("unsigned int", fout);
 510     integer_functions<long>("long", fout);
 511     integer_functions<unsigned long>("unsigned long", fout);
 512     integer_functions<long long>("long long", fout);
 513     integer_functions<unsigned long long>("unsigned long long", fout);
 514     integer_functions<int32_t>("int32_t", fout);
 515     integer_functions<int64_t>("int64_t", fout);
 516     integer_functions<int128_t>("int128_t", fout);
 517     fout << "]" "\n";  // end of table;
 518
 519
 520     //fout << "[[max]"
 521     //  << "[" << std::numeric_limits<bool>::max() << "]"
 522     //  << "[" << static_cast<int>(std::numeric_limits<char>::max()) << "]"
 523     //  << "[" << static_cast<int>(std::numeric_limits<unsigned char>::max()) << "]"
 524     //  << "[" << static_cast<int>(std::numeric_limits<char16_t>::max()) << "]"
 525     //  << "[" << static_cast<int>(std::numeric_limits<char32_t>::max()) << "]"
 526     //  << "[" << std::numeric_limits<short>::max() << "]"
 527     //  << "[" << std::numeric_limits<unsigned short>::max() << "]"
 528     //  << "[" << std::numeric_limits<int>::max() << "]"
 529     //  << "[" << std::numeric_limits<unsigned int>::max() << "]"
 530     //  << "[" << std::numeric_limits<long>::max() << "]"
 531     //  << "[" << std::numeric_limits<unsigned long>::max() << "]"
 532     //  << "[" << std::numeric_limits<long long>::max() << "]"
 533     //  << "[" << std::numeric_limits<unsigned long long>::max() << "]"
 534     //  << "[" << std::numeric_limits<int32_t>::max() << "]"
 535     //  << "[" << std::numeric_limits<int64_t>::max() << "]"
 536     //  << "[" << std::numeric_limits<int128_t>::max() << "]"
 537     //  //<< "[" << std::numeric_limits<int256_t>::max() << "]"  // too big?
 538     //  //<< "[" << std::numeric_limits<int512_t>::max() << "]" // too big?
 539     //  << "]" "\n";
 540     ///*  Assume lowest() is not useful as == min for all integer types.
 541     // */
 542
 543     //fout << "[[min]"
 544     //  << "[" << std::numeric_limits<bool>::min() << "]"
 545     //  << "[" << static_cast<int>(std::numeric_limits<char>::min()) << "]"
 546     //  << "[" << static_cast<int>(std::numeric_limits<unsigned char>::min()) << "]"
 547     //  << "[" << static_cast<int>(std::numeric_limits<char16_t>::min()) << "]"
 548     //  << "[" << static_cast<int>(std::numeric_limits<char32_t>::min()) << "]"
 549     //  << "[" << std::numeric_limits<short>::min() << "]"
 550     //  << "[" << std::numeric_limits<unsigned short>::min() << "]"
 551     //  << "[" << std::numeric_limits<int>::min() << "]"
 552     //  << "[" << std::numeric_limits<unsigned int>::min() << "]"
 553     //  << "[" << std::numeric_limits<long>::min() << "]"
 554     //  << "[" << std::numeric_limits<unsigned long>::min() << "]"
 555     //  << "[" << std::numeric_limits<long long>::min() << "]"
 556     //  << "[" << std::numeric_limits<unsigned long long>::min() << "]"
 557     //  << "[" << std::numeric_limits<int32_t>::min() << "]"
 558     //  << "[" << std::numeric_limits<int64_t>::min() << "]"
 559     //  << "[" << std::numeric_limits<int128_t>::min() << "]"
 560     //  // << "[" << std::numeric_limits<int256_t>::min() << "]"  // too big?
 561     //  // << "[" << std::numeric_limits<int512_t>::min() << "]"  // too big?
 562     //  << "]""\n";
 563
 564
 565
 566   // Floating-point
 567
 568     typedef number<cpp_dec_float<50> > cpp_dec_float_50; // 50 decimal digits.
 569     typedef number<cpp_bin_float<113> > bin_128bit_double_type; // == Binary rare long double.
 570
 571     fout <<
 572       //"[table:float_functions Floating-point types constants (`std::numeric_limits<T>::is_integer == false && std::numeric_limits<T>::is_modulo == false` )" "\n"
 573       "[table:float_functions Floating-point types constants (`std::numeric_limits<T>::is_integer==false && is_signed==true && is_modulo==false && is_exact==false && is_bound==true`)" "\n"
 574       "[";
 575     for (size_t i = 0; i < float_constant_heads.size(); i++)
 576     {
 577       fout << "[" << float_constant_heads[i] << "]" ;
 578     }
 579     fout << "]"; // end of headings.
 580
 581     float_constants<float>("float", fout);
 582     float_constants<double>("double", fout);
 583     float_constants<long double>("long double", fout);
 584     float_constants<cpp_dec_float_50>("cpp_dec_float_50", fout);
 585     float_constants<bin_128bit_double_type>("bin_128bit_double_type", fout);
 586     fout << "]" "\n";  // end of table;
 587
 588     fout <<
 589       "[table:float_functions Floating-point types functions (`std::numeric_limits<T>::is_integer == false`)" "\n"
 590       "[";
 591
 592     for (size_t i = 0; i < float_type_names.size(); i++)
 593     {
 594       fout << "[" << float_type_names[i] << "]" ;
 595     }
 596     fout << "]"; // end of headings.
 597
 598     fout << "[[max]"
 599       << "[" << std::numeric_limits<float>::max() << "]"
 600       << "[" << std::numeric_limits<double>::max() << "]"
 601 //#if LDBL_MANT_DIG > DBL_MANT_DIG
 602     // Perhaps to test Long double is not just a duplication of double (but need change is headings too).
 603       << "[" << std::numeric_limits<long double>::max() << "]"
 604 //#endif
 605       << "[" << std::numeric_limits<cpp_dec_float_50>::max() << "]"
 606       << "[" << std::numeric_limits<bin_128bit_double_type >::max() << "]"
 607       << "]" "\n"; // end of row.
 608
 609     fout << "[[min]"
 610       << "[" << std::numeric_limits<float>::min() << "]"
 611       << "[" << std::numeric_limits<double>::min() << "]"
 612 //#if LDBL_MANT_DIG > DBL_MANT_DIG
 613     // Long double is not just a duplication of double.
 614       << "[" << std::numeric_limits<long double>::min() << "]"
 615 //#endif
 616       << "[" << std::numeric_limits<cpp_dec_float_50 >::min() << "]"
 617       << "[" << std::numeric_limits<bin_128bit_double_type >::min() << "]"
 618       << "]" "\n"; // end of row.
 619
 620     fout << "[[epsilon]"
 621       << "[" << std::numeric_limits<float>::epsilon() << "]"
 622       << "[" << std::numeric_limits<double>::epsilon() << "]"
 623 //#if LDBL_MANT_DIG > DBL_MANT_DIG
 624     // Long double is not just a duplication of double.
 625       << "[" << std::numeric_limits<long double>::epsilon() << "]"
 626 //#endif
 627       << "[" << std::numeric_limits<cpp_dec_float_50 >::epsilon() << "]"
 628       << "[" << std::numeric_limits<bin_128bit_double_type >::epsilon() << "]"
 629       << "]" "\n"; // end of row.
 630
 631     fout << "[[round_error]"
 632       << "[" << std::numeric_limits<float>::round_error() << "]"
 633       << "[" << std::numeric_limits<double>::round_error() << "]"
 634 //#if LDBL_MANT_DIG > DBL_MANT_DIG
 635     // Long double is not just a duplication of double.
 636       << "[" << std::numeric_limits<long double>::round_error() << "]"
 637 //#endif
 638       << "[" << std::numeric_limits<cpp_dec_float_50 >::round_error() << "]"
 639       << "[" << std::numeric_limits<bin_128bit_double_type >::round_error() << "]"
 640       << "]" "\n"; // end of row.
 641
 642     fout << "[[infinity]"
 643       << "[" << std::numeric_limits<float>::infinity() << "]"
 644       << "[" << std::numeric_limits<double>::infinity() << "]"
 645 //#if LDBL_MANT_DIG > DBL_MANT_DIG
 646     // Long double is not just a duplication of double.
 647       << "[" << std::numeric_limits<long double>::infinity() << "]"
 648 //#endif
 649       << "[" << std::numeric_limits<cpp_dec_float_50 >::infinity() << "]"
 650       << "[" << std::numeric_limits<bin_128bit_double_type >::infinity() << "]"
 651       << "]" "\n"; // end of row.
 652
 653     fout << "[[quiet_NaN]"
 654       << "[" << std::numeric_limits<float>::quiet_NaN() << "]"
 655       << "[" << std::numeric_limits<double>::quiet_NaN() << "]"
 656 //#if LDBL_MANT_DIG > DBL_MANT_DIG
 657     // Long double is not just a duplication of double.
 658       << "[" << std::numeric_limits<long double>::quiet_NaN() << "]"
 659 //#endif
 660       << "[" << std::numeric_limits<cpp_dec_float_50 >::quiet_NaN() << "]"
 661       << "[" << std::numeric_limits<bin_128bit_double_type >::quiet_NaN() << "]"
 662       << "]" "\n"; // end of row.
 663
 664     fout << "[[signaling_NaN]"
 665       << "[" << std::numeric_limits<float>::signaling_NaN() << "]"
 666       << "[" << std::numeric_limits<double>::signaling_NaN() << "]"
 667 //#if LDBL_MANT_DIG > DBL_MANT_DIG
 668     // Long double is not just a duplication of double.
 669       << "[" << std::numeric_limits<long double>::signaling_NaN() << "]"
 670 //#endif
 671       << "[" << std::numeric_limits<cpp_dec_float_50 >::signaling_NaN() << "]"
 672       << "[" << std::numeric_limits<bin_128bit_double_type >::signaling_NaN() << "]"
 673       << "]" "\n"; // end of row.
 674
 675     fout << "[[denorm_min]"
 676       << "[" << std::numeric_limits<float>::denorm_min() << "]"
 677       << "[" << std::numeric_limits<double>::denorm_min() << "]"
 678 //#if LDBL_MANT_DIG > DBL_MANT_DIG
 679     // Long double is not just a duplication of double.
 680       << "[" << std::numeric_limits<long double>::denorm_min() << "]"
 681 //#endif
 682       << "[" << std::numeric_limits<cpp_dec_float_50 >::denorm_min() << "]"
 683       << "[" << std::numeric_limits<bin_128bit_double_type >::denorm_min() << "]"
 684       << "]" "\n"; // end of row.
 685
 686
 687
 688      fout << "]" "\n";  // end of table;
 689
 690
 691        fout <<  "\n\n"
 692     "[endsect] [/section:limits32  Numeric limits for 32-bit platform]" "\n" << std::endl;
 693
 694
 695
 696     fout.close();
 697   }
 698   catch(std::exception ex)
 699   {
 700     std::cout << "exception thrown: " << ex.what() << std::endl;
 701   }
 702
 703
 704 } // int main()
 705
 706 /*
 707   Description: Autorun "J:\Cpp\Misc\Debug\numeric_limits_qbk.exe"
 708
 709   Program: I:\boost-sandbox\multiprecision.cpp_bin_float\libs\multiprecision\doc\numeric_limits_qbk.cpp
 710   Wed Aug 28 14:17:21 2013
 711   BuildInfo:
 712     Platform Win32
 713     Compiler Microsoft Visual C++ version 10.0
 714     MSVC version 160040219.
 715     STL Dinkumware standard library version 520
 716     Boost version 1.55.0
 717
 718   */
 719