File: limits.h

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///\file

/******************************************************************************
The MIT License(MIT)

Embedded Template Library.
https://github.com/ETLCPP/etl
https://www.etlcpp.com

Copyright(c) 2018 John Wellbelove

Permission is hereby granted, free of charge, to any person obtaining a copy
of this software and associated documentation files(the "Software"), to deal
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THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
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OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
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******************************************************************************/

#ifndef ETL_LIMITS_INCLUDED
#define ETL_LIMITS_INCLUDED

#include "platform.h"
#include "type_traits.h"
#include "char_traits.h"
#include "integral_limits.h"

#if ETL_NOT_USING_STL && defined(ETL_COMPILER_ARM5) && !defined(__USE_C99_MATH)
  // Required for nan, nanf, nanl
  #define __USE_C99_MATH
#endif

#include <limits.h>
#include <stdint.h>
#include <float.h>
#include <math.h>

#include "private/minmax_push.h"

#if defined(ETL_COMPILER_MICROSOFT)
  #pragma warning(push)
  #pragma warning(disable : 26812)
#endif

#if ETL_NOT_USING_STL
  #define ETL_LOG10_OF_2(x) (((x) * 301) / 1000)

#if !defined(LDBL_MIN) && defined(DBL_MIN)
  // Looks like we don't have these macros defined.
  // That probably means that 'long double' is the same size as 'double'.
  #define LDBL_MIN        DBL_MIN
  #define LDBL_MAX        DBL_MAX
  #define LDBL_EPSILON    DBL_EPSILON
  #define LDBL_MANT_DIG   DBL_MANT_DIG
  #define LDBL_DIG        DBL_DIG
  #define LDBL_MIN_EXP    DBL_MIN_EXP
  #define LDBL_MIN_10_EXP DBL_MIN_10_EXP
  #define LDBL_MAX_EXP    DBL_MAX_EXP
  #define LDBL_MAX_10_EXP DBL_MAX_10_EXP
#endif

#if !defined(HUGE_VAL)
  // Looks like we don't have these macros defined.
  // They're compiler implementation dependent, so we'll make them the same as the max values.
  #define HUGE_VALF FLT_MAX
  #define HUGE_VAL  DBL_MAX
  #define HUGE_VALL LDBL_MAX
#endif

#if defined(ETL_NO_CPP_NAN_SUPPORT)
  #if defined(NAN)
  #include "private/diagnostic_useless_cast_push.h"
    #define ETL_NANF    NAN
    #define ETL_NAN     static_cast<double>(NAN)
    #define ETL_NANL    static_cast<long double>(NAN)
    #define ETL_HAS_NAN true
  #include "private/diagnostic_pop.h"
  #else
  #include "private/diagnostic_useless_cast_push.h"
    #define ETL_NANF HUGE_VALF    
    #define ETL_NAN  HUGE_VAL
    #define ETL_NANL HUGE_VALL
    #define ETL_HAS_NAN false
  #include "private/diagnostic_pop.h"
  #endif
#else
  #define ETL_NANF    nanf("")
  #define ETL_NAN     nan("")
  #define ETL_NANL    nanl("")
  #define ETL_HAS_NAN true
#endif

namespace etl
{
  enum float_round_style
  {
    round_indeterminate       = -1,
    round_toward_zero         = 0,
    round_to_nearest          = 1,
    round_toward_infinity     = 2,
    round_toward_neg_infinity = 3,
  };

  enum float_denorm_style
  {
    denorm_indeterminate = -1,
    denorm_absent        = 0,
    denorm_present       = 1
  };

  namespace private_limits
  {
    //*********************************
    // Integral limits common
    template <typename T = void>
    class integral_limits_common
    {
    public:

      static ETL_CONSTANT bool is_specialized    = true;
      static ETL_CONSTANT bool is_integer        = true;
      static ETL_CONSTANT bool is_exact          = true;
      static ETL_CONSTANT int  max_digits10      = 0;
      static ETL_CONSTANT int  radix             = 2;
      static ETL_CONSTANT int  min_exponent      = 0;
      static ETL_CONSTANT int  min_exponent10    = 0;
      static ETL_CONSTANT int  max_exponent      = 0;
      static ETL_CONSTANT int  max_exponent10    = 0;
      static ETL_CONSTANT bool has_infinity      = false;
      static ETL_CONSTANT bool has_quiet_NaN     = false;
      static ETL_CONSTANT bool has_signaling_NaN = false;
      static ETL_CONSTANT bool has_denorm_loss   = false;
      static ETL_CONSTANT bool is_iec559         = false;
      static ETL_CONSTANT bool is_bounded        = true;
      static ETL_CONSTANT bool traps             = false;
      static ETL_CONSTANT bool tinyness_before   = false;
      static ETL_CONSTANT float_denorm_style has_denorm  = denorm_absent;
      static ETL_CONSTANT float_round_style  round_style = round_toward_zero;
    };

    template <typename T>
    ETL_CONSTANT bool integral_limits_common<T>::is_specialized;

    template <typename T>
    ETL_CONSTANT bool integral_limits_common<T>::is_integer;

    template <typename T>
    ETL_CONSTANT bool integral_limits_common<T>::is_exact;

    template <typename T>
    ETL_CONSTANT int  integral_limits_common<T>::max_digits10;

    template <typename T>
    ETL_CONSTANT int  integral_limits_common<T>::radix;

    template <typename T>
    ETL_CONSTANT int  integral_limits_common<T>::min_exponent;

    template <typename T>
    ETL_CONSTANT int  integral_limits_common<T>::min_exponent10;

    template <typename T>
    ETL_CONSTANT int  integral_limits_common<T>::max_exponent;

    template <typename T>
    ETL_CONSTANT int  integral_limits_common<T>::max_exponent10;

    template <typename T>
    ETL_CONSTANT bool integral_limits_common<T>::has_infinity;

    template <typename T>
    ETL_CONSTANT bool integral_limits_common<T>::has_quiet_NaN;

    template <typename T>
    ETL_CONSTANT bool integral_limits_common<T>::has_signaling_NaN;

    template <typename T>
    ETL_CONSTANT bool integral_limits_common<T>::has_denorm_loss;

    template <typename T>
    ETL_CONSTANT bool integral_limits_common<T>::is_iec559;

    template <typename T>
    ETL_CONSTANT bool integral_limits_common<T>::is_bounded;

    template <typename T>
    ETL_CONSTANT bool integral_limits_common<T>::traps;

    template <typename T>
    ETL_CONSTANT bool integral_limits_common<T>::tinyness_before;

    template <typename T>
    ETL_CONSTANT float_denorm_style integral_limits_common<T>::has_denorm;

    template <typename T>
    ETL_CONSTANT float_round_style integral_limits_common<T>::round_style;

    //*********************************
    // bool
    template <typename T = void>
    struct integral_limits_bool
    {
      static ETL_CONSTANT int  digits    = 1;
      static ETL_CONSTANT int  digits10  = 0;
      static ETL_CONSTANT bool is_signed = false;
      static ETL_CONSTANT bool is_modulo = false;
    };

    template <typename T>
    ETL_CONSTANT int integral_limits_bool<T>::digits;

    template <typename T>
    ETL_CONSTANT int integral_limits_bool<T>::digits10;

    template <typename T>
    ETL_CONSTANT bool integral_limits_bool<T>::is_signed;

    template <typename T>
    ETL_CONSTANT bool integral_limits_bool<T>::is_modulo;

    //*********************************
    // char
    template <typename T = void>
    struct integral_limits_char
    {
      static ETL_CONSTANT int  digits    = (CHAR_BIT * sizeof(char)) - (etl::is_signed<char>::value ? 1 : 0);
      static ETL_CONSTANT int  digits10  = ETL_LOG10_OF_2(digits);
      static ETL_CONSTANT bool is_signed = etl::is_signed<char>::value;
      static ETL_CONSTANT bool is_modulo = etl::is_unsigned<char>::value;
    };

    template <typename T>
    ETL_CONSTANT int integral_limits_char<T>::digits;

    template <typename T>
    ETL_CONSTANT int integral_limits_char<T>::digits10;

    template <typename T>
    ETL_CONSTANT bool integral_limits_char<T>::is_signed;

    template <typename T>
    ETL_CONSTANT bool integral_limits_char<T>::is_modulo;

    //*********************************
    // unsigned char
    template <typename T = void>
    struct integral_limits_unsigned_char
    {
      static ETL_CONSTANT int  digits    = (CHAR_BIT * sizeof(unsigned char));
      static ETL_CONSTANT int  digits10  = ETL_LOG10_OF_2(digits);
      static ETL_CONSTANT bool is_signed = false;
      static ETL_CONSTANT bool is_modulo = true;
    };

    template <typename T>
    ETL_CONSTANT int integral_limits_unsigned_char<T>::digits;

    template <typename T>
    ETL_CONSTANT int integral_limits_unsigned_char<T>::digits10;

    template <typename T>
    ETL_CONSTANT bool integral_limits_unsigned_char<T>::is_signed;

    template <typename T>
    ETL_CONSTANT bool integral_limits_unsigned_char<T>::is_modulo;

    //*********************************
    // signed char
    template <typename T = void>
    struct integral_limits_signed_char
    {
      static ETL_CONSTANT int  digits    = (CHAR_BIT * sizeof(char)) - 1;
      static ETL_CONSTANT int  digits10  = ETL_LOG10_OF_2(digits);
      static ETL_CONSTANT bool is_signed = true;
      static ETL_CONSTANT bool is_modulo = false;
    };

    template <typename T>
    ETL_CONSTANT int integral_limits_signed_char<T>::digits;

    template <typename T>
    ETL_CONSTANT int integral_limits_signed_char<T>::digits10;

    template <typename T>
    ETL_CONSTANT bool integral_limits_signed_char<T>::is_signed;

    template <typename T>
    ETL_CONSTANT bool integral_limits_signed_char<T>::is_modulo;

#if ETL_HAS_NATIVE_CHAR8_T
    //*********************************
    // char8_t
    template <typename T = void>
    struct integral_limits_char8_t
    {
      static ETL_CONSTANT int  digits    = (CHAR_BIT * sizeof(char8_t)) - (etl::is_signed<char8_t>::value ? 1 : 0);
      static ETL_CONSTANT int  digits10  = ETL_LOG10_OF_2(digits);
      static ETL_CONSTANT bool is_signed = etl::is_signed<char8_t>::value;
      static ETL_CONSTANT bool is_modulo = false;
    };

    template <typename T>
    ETL_CONSTANT int integral_limits_char8_t<T>::digits;

    template <typename T>
    ETL_CONSTANT int integral_limits_char8_t<T>::digits10;

    template <typename T>
    ETL_CONSTANT bool integral_limits_char8_t<T>::is_signed;

    template <typename T>
    ETL_CONSTANT bool integral_limits_char8_t<T>::is_modulo;
#endif

#if ETL_HAS_NATIVE_CHAR16_T
    //*********************************
    // char16_t
    template <typename T = void>
    struct integral_limits_char16_t
    {
      static ETL_CONSTANT int  digits    = (CHAR_BIT * sizeof(char16_t));
      static ETL_CONSTANT int  digits10  = ETL_LOG10_OF_2(digits);
      static ETL_CONSTANT bool is_signed = false;
      static ETL_CONSTANT bool is_modulo = true;
    };

    template <typename T>
    ETL_CONSTANT int integral_limits_char16_t<T>::digits;

    template <typename T>
    ETL_CONSTANT int integral_limits_char16_t<T>::digits10;

    template <typename T>
    ETL_CONSTANT bool integral_limits_char16_t<T>::is_signed;

    template <typename T>
    ETL_CONSTANT bool integral_limits_char16_t<T>::is_modulo;
#endif

#if ETL_HAS_NATIVE_CHAR32_T
    //*********************************
    // char32_t
    template <typename T = void>
    struct integral_limits_char32_t
    {
      static ETL_CONSTANT int  digits    = (CHAR_BIT * sizeof(char32_t));
      static ETL_CONSTANT int  digits10  = ETL_LOG10_OF_2(digits);
      static ETL_CONSTANT bool is_signed = false;
      static ETL_CONSTANT bool is_modulo = true;
    };

    template <typename T>
    ETL_CONSTANT int integral_limits_char32_t<T>::digits;

    template <typename T>
    ETL_CONSTANT int integral_limits_char32_t<T>::digits10;

    template <typename T>
    ETL_CONSTANT bool integral_limits_char32_t<T>::is_signed;

    template <typename T>
    ETL_CONSTANT bool integral_limits_char32_t<T>::is_modulo;
#endif

    //*********************************
    // wchar_t
    template <typename T = void>
    struct integral_limits_wchar_t
    {
      static ETL_CONSTANT int  digits    = (CHAR_BIT * sizeof(wchar_t)) - (etl::is_signed<wchar_t>::value ? 1 : 0);
      static ETL_CONSTANT int  digits10  = ETL_LOG10_OF_2(digits);
      static ETL_CONSTANT bool is_signed = etl::is_signed<wchar_t>::value;
      static ETL_CONSTANT bool is_modulo = etl::is_unsigned<wchar_t>::value;
    };

    template <typename T>
    ETL_CONSTANT int integral_limits_wchar_t<T>::digits;

    template <typename T>
    ETL_CONSTANT int integral_limits_wchar_t<T>::digits10;

    template <typename T>
    ETL_CONSTANT bool integral_limits_wchar_t<T>::is_signed;

    template <typename T>
    ETL_CONSTANT bool integral_limits_wchar_t<T>::is_modulo;

    //*********************************
    // short
    template <typename T = void>
    struct integral_limits_short
    {
      static ETL_CONSTANT int  digits    = (CHAR_BIT * sizeof(short)) - 1;
      static ETL_CONSTANT int  digits10  = ETL_LOG10_OF_2(digits);
      static ETL_CONSTANT bool is_signed = true;
      static ETL_CONSTANT bool is_modulo = false;
    };

    template <typename T>
    ETL_CONSTANT int integral_limits_short<T>::digits;

    template <typename T>
    ETL_CONSTANT int integral_limits_short<T>::digits10;

    template <typename T>
    ETL_CONSTANT bool integral_limits_short<T>::is_signed;

    template <typename T>
    ETL_CONSTANT bool integral_limits_short<T>::is_modulo;

    //*********************************
    // unsigned short
    template <typename T = void>
    struct integral_limits_unsigned_short
    {
      static ETL_CONSTANT int  digits    = (CHAR_BIT * sizeof(unsigned short));
      static ETL_CONSTANT int  digits10  = ETL_LOG10_OF_2(digits);
      static ETL_CONSTANT bool is_signed = false;
      static ETL_CONSTANT bool is_modulo = true;
    };

    template <typename T>
    ETL_CONSTANT int integral_limits_unsigned_short<T>::digits;

    template <typename T>
    ETL_CONSTANT int integral_limits_unsigned_short<T>::digits10;

    template <typename T>
    ETL_CONSTANT bool integral_limits_unsigned_short<T>::is_signed;

    template <typename T>
    ETL_CONSTANT bool integral_limits_unsigned_short<T>::is_modulo;

    //*********************************
    // int
    template <typename T = void>
    struct integral_limits_int
    {
      static ETL_CONSTANT int digits     = (CHAR_BIT * sizeof(int)) - 1;
      static ETL_CONSTANT int digits10   = ETL_LOG10_OF_2(digits);
      static ETL_CONSTANT bool is_signed = true;
      static ETL_CONSTANT bool is_modulo = false;
    };

    template <typename T>
    ETL_CONSTANT int integral_limits_int<T>::digits;

    template <typename T>
    ETL_CONSTANT int integral_limits_int<T>::digits10;

    template <typename T>
    ETL_CONSTANT bool integral_limits_int<T>::is_signed;

    template <typename T>
    ETL_CONSTANT bool integral_limits_int<T>::is_modulo;

    //*********************************
    // unsigned int
    template <typename T = void>
    struct integral_limits_unsigned_int
    {
      static ETL_CONSTANT int  digits    = (CHAR_BIT * sizeof(unsigned int));
      static ETL_CONSTANT int  digits10  = ETL_LOG10_OF_2(digits);
      static ETL_CONSTANT bool is_signed = false;
      static ETL_CONSTANT bool is_modulo = true;
    };

    template <typename T>
    ETL_CONSTANT int integral_limits_unsigned_int<T>::digits;

    template <typename T>
    ETL_CONSTANT int integral_limits_unsigned_int<T>::digits10;

    template <typename T>
    ETL_CONSTANT bool integral_limits_unsigned_int<T>::is_signed;

    template <typename T>
    ETL_CONSTANT bool integral_limits_unsigned_int<T>::is_modulo;

    //*********************************
    // long
    template <typename T = void>
    struct integral_limits_long
    {
      static ETL_CONSTANT int  digits    = (CHAR_BIT * sizeof(long)) - 1;
      static ETL_CONSTANT int  digits10  = ETL_LOG10_OF_2(digits);
      static ETL_CONSTANT bool is_signed = true;
      static ETL_CONSTANT bool is_modulo = false;
    };

    template <typename T>
    ETL_CONSTANT int integral_limits_long<T>::digits;

    template <typename T>
    ETL_CONSTANT int integral_limits_long<T>::digits10;

    template <typename T>
    ETL_CONSTANT bool integral_limits_long<T>::is_signed;

    template <typename T>
    ETL_CONSTANT bool integral_limits_long<T>::is_modulo;

    //*********************************
    // unsigned long
    template <typename T = void>
    struct integral_limits_unsigned_long
    {
      static ETL_CONSTANT int  digits    = (CHAR_BIT * sizeof(unsigned long));
      static ETL_CONSTANT int  digits10  = ETL_LOG10_OF_2(digits);
      static ETL_CONSTANT bool is_signed = false;
      static ETL_CONSTANT bool is_modulo = true;
    };

    template <typename T>
    ETL_CONSTANT int integral_limits_unsigned_long<T>::digits;

    template <typename T>
    ETL_CONSTANT int integral_limits_unsigned_long<T>::digits10;

    template <typename T>
    ETL_CONSTANT bool integral_limits_unsigned_long<T>::is_signed;

    template <typename T>
    ETL_CONSTANT bool integral_limits_unsigned_long<T>::is_modulo;

    //*********************************
    // long long
    template <typename T = void>
    struct integral_limits_long_long
    {
      static ETL_CONSTANT int  digits    = (CHAR_BIT * sizeof(long long)) - 1;
      static ETL_CONSTANT int  digits10  = ETL_LOG10_OF_2(digits);
      static ETL_CONSTANT bool is_signed = true;
      static ETL_CONSTANT bool is_modulo = false;
    };

    template <typename T>
    ETL_CONSTANT int integral_limits_long_long<T>::digits;

    template <typename T>
    ETL_CONSTANT int integral_limits_long_long<T>::digits10;

    template <typename T>
    ETL_CONSTANT bool integral_limits_long_long<T>::is_signed;

    template <typename T>
    ETL_CONSTANT bool integral_limits_long_long<T>::is_modulo;

    //*********************************
    // unsigned long long
    template <typename T = void>
    struct integral_limits_unsigned_long_long
    {
      static ETL_CONSTANT int  digits    = (CHAR_BIT * sizeof(unsigned long long));
      static ETL_CONSTANT int  digits10  = ETL_LOG10_OF_2(digits);
      static ETL_CONSTANT bool is_signed = false;
      static ETL_CONSTANT bool is_modulo = true;
    };

    template <typename T>
    ETL_CONSTANT int integral_limits_unsigned_long_long<T>::digits;

    template <typename T>
    ETL_CONSTANT int integral_limits_unsigned_long_long<T>::digits10;

    template <typename T>
    ETL_CONSTANT bool integral_limits_unsigned_long_long<T>::is_signed;

    template <typename T>
    ETL_CONSTANT bool integral_limits_unsigned_long_long<T>::is_modulo;

    //*********************************
    // Floating point limits common
    template <typename T = void>
    class floating_point_limits_common
    {
    public:

      static ETL_CONSTANT bool is_specialized    = true;
      static ETL_CONSTANT bool is_signed         = true;
      static ETL_CONSTANT bool is_integer        = false;
      static ETL_CONSTANT bool is_exact          = false;
      static ETL_CONSTANT int  radix             = 2;
      static ETL_CONSTANT bool has_infinity      = true;
      static ETL_CONSTANT bool has_quiet_NaN     = ETL_HAS_NAN;
      static ETL_CONSTANT bool has_signaling_NaN = ETL_HAS_NAN;
      static ETL_CONSTANT bool has_denorm_loss   = false;
      static ETL_CONSTANT bool is_iec559         = false;
      static ETL_CONSTANT bool is_bounded        = true;
      static ETL_CONSTANT bool is_modulo         = false;
      static ETL_CONSTANT bool traps             = false;
      static ETL_CONSTANT bool tinyness_before   = false;
      static ETL_CONSTANT float_denorm_style has_denorm  = denorm_indeterminate;
      static ETL_CONSTANT float_round_style  round_style = round_indeterminate;
    };

    template <typename T>
    ETL_CONSTANT bool floating_point_limits_common<T>::is_specialized;

    template <typename T>
    ETL_CONSTANT bool floating_point_limits_common<T>::is_signed;

    template <typename T>
    ETL_CONSTANT bool floating_point_limits_common<T>::is_integer;

    template <typename T>
    ETL_CONSTANT bool floating_point_limits_common<T>::is_exact;

    template <typename T>
    ETL_CONSTANT int  floating_point_limits_common<T>::radix;

    template <typename T>
    ETL_CONSTANT bool floating_point_limits_common<T>::has_infinity;

    template <typename T>
    ETL_CONSTANT bool floating_point_limits_common<T>::has_quiet_NaN;

    template <typename T>
    ETL_CONSTANT bool floating_point_limits_common<T>::has_signaling_NaN;

    template <typename T>
    ETL_CONSTANT bool floating_point_limits_common<T>::has_denorm_loss;

    template <typename T>
    ETL_CONSTANT bool floating_point_limits_common<T>::is_iec559;

    template <typename T>
    ETL_CONSTANT bool floating_point_limits_common<T>::is_bounded;

    template <typename T>
    ETL_CONSTANT bool floating_point_limits_common<T>::is_modulo;

    template <typename T>
    ETL_CONSTANT bool floating_point_limits_common<T>::traps;

    template <typename T>
    ETL_CONSTANT bool floating_point_limits_common<T>::tinyness_before;

    template <typename T>
    ETL_CONSTANT float_denorm_style floating_point_limits_common<T>::has_denorm;

    template <typename T>
    ETL_CONSTANT float_round_style floating_point_limits_common<T>::round_style;

    //*********************************
    // float
    template <typename T = void>
    struct floating_point_limits_float
    {
      static ETL_CONSTANT int digits         = FLT_MANT_DIG;
      static ETL_CONSTANT int digits10       = FLT_DIG;
      static ETL_CONSTANT int max_digits10   = ETL_LOG10_OF_2(FLT_MANT_DIG) + 2;

      static ETL_CONSTANT int min_exponent   = FLT_MIN_EXP;
      static ETL_CONSTANT int min_exponent10 = FLT_MIN_10_EXP;
      static ETL_CONSTANT int max_exponent   = FLT_MAX_EXP;
      static ETL_CONSTANT int max_exponent10 = FLT_MAX_10_EXP;
    };

    template <typename T>
    ETL_CONSTANT int floating_point_limits_float<T>::digits;

    template <typename T>
    ETL_CONSTANT int floating_point_limits_float<T>::digits10;

    template <typename T>
    ETL_CONSTANT int floating_point_limits_float<T>::max_digits10;

    template <typename T>
    ETL_CONSTANT int floating_point_limits_float<T>::min_exponent;

    template <typename T>
    ETL_CONSTANT int floating_point_limits_float<T>::min_exponent10;

    template <typename T>
    ETL_CONSTANT int floating_point_limits_float<T>::max_exponent;

    template <typename T>
    ETL_CONSTANT int floating_point_limits_float<T>::max_exponent10;

    //*********************************
    // double
    template <typename T = void>
    struct floating_point_limits_double
    {
      static ETL_CONSTANT int digits         = DBL_MANT_DIG;
      static ETL_CONSTANT int digits10       = DBL_DIG;
      static ETL_CONSTANT int max_digits10   = ETL_LOG10_OF_2(DBL_MANT_DIG) + 2;

      static ETL_CONSTANT int min_exponent   = DBL_MIN_EXP;
      static ETL_CONSTANT int min_exponent10 = DBL_MIN_10_EXP;
      static ETL_CONSTANT int max_exponent   = DBL_MAX_EXP;
      static ETL_CONSTANT int max_exponent10 = DBL_MAX_10_EXP;
    };

    template <typename T>
    ETL_CONSTANT int floating_point_limits_double<T>::digits;

    template <typename T>
    ETL_CONSTANT int floating_point_limits_double<T>::digits10;

    template <typename T>
    ETL_CONSTANT int floating_point_limits_double<T>::max_digits10;

    template <typename T>
    ETL_CONSTANT int floating_point_limits_double<T>::min_exponent;

    template <typename T>
    ETL_CONSTANT int floating_point_limits_double<T>::min_exponent10;

    template <typename T>
    ETL_CONSTANT int floating_point_limits_double<T>::max_exponent;

    template <typename T>
    ETL_CONSTANT int floating_point_limits_double<T>::max_exponent10;

    //*********************************
    // long double
    template <typename T = void>
    struct floating_point_limits_long_double
    {
      static ETL_CONSTANT int digits         = LDBL_MANT_DIG;
      static ETL_CONSTANT int digits10       = LDBL_DIG;
      static ETL_CONSTANT int max_digits10   = ETL_LOG10_OF_2(LDBL_MANT_DIG) + 2;

      static ETL_CONSTANT int min_exponent   = LDBL_MIN_EXP;
      static ETL_CONSTANT int min_exponent10 = LDBL_MIN_10_EXP;
      static ETL_CONSTANT int max_exponent   = LDBL_MAX_EXP;
      static ETL_CONSTANT int max_exponent10 = LDBL_MAX_10_EXP;
    };

    template <typename T>
    ETL_CONSTANT int floating_point_limits_long_double<T>::digits;

    template <typename T>
    ETL_CONSTANT int floating_point_limits_long_double<T>::digits10;

    template <typename T>
    ETL_CONSTANT int floating_point_limits_long_double<T>::max_digits10;

    template <typename T>
    ETL_CONSTANT int floating_point_limits_long_double<T>::min_exponent;

    template <typename T>
    ETL_CONSTANT int floating_point_limits_long_double<T>::min_exponent10;

    template <typename T>
    ETL_CONSTANT int floating_point_limits_long_double<T>::max_exponent;

    template <typename T>
    ETL_CONSTANT int floating_point_limits_long_double<T>::max_exponent10;
  }

  //***************************************************************************
  // Default
  template <typename T>
  class numeric_limits;

  template <typename T>
  class numeric_limits<const T> : public numeric_limits<T> { };

  template <typename T>
  class numeric_limits<volatile T> : public numeric_limits<T> { };

  template <typename T>
  class numeric_limits<const volatile T> : public numeric_limits<T> { };

  //***********************************
  // bool
  template<>
  class numeric_limits<bool> : public private_limits::integral_limits_common<>, 
                               public private_limits::integral_limits_bool<>
  {
  public:

    static ETL_CONSTEXPR bool min() { return false; }
    static ETL_CONSTEXPR bool max() { return true; }
    static ETL_CONSTEXPR bool lowest() { return false; }
    static ETL_CONSTEXPR bool epsilon() { return false; }
    static ETL_CONSTEXPR bool round_error() { return false; }
    static ETL_CONSTEXPR bool denorm_min() { return false; }
    static ETL_CONSTEXPR bool infinity() { return false; }
    static ETL_CONSTEXPR bool quiet_NaN() { return false; }
    static ETL_CONSTEXPR bool signaling_NaN() { return false; }
  };

  //***************************************************************************
  // char
  template<>
  class numeric_limits<char> : public private_limits::integral_limits_common<>,
                               public private_limits::integral_limits_char<>
  {
  public:

    static ETL_CONSTEXPR char min() { return char(CHAR_MIN); }
    static ETL_CONSTEXPR char max() { return char(CHAR_MAX); }
    static ETL_CONSTEXPR char lowest() { return char(CHAR_MIN); }
    static ETL_CONSTEXPR char epsilon() { return 0; }
    static ETL_CONSTEXPR char round_error() { return 0; }
    static ETL_CONSTEXPR char denorm_min() { return 0; }
    static ETL_CONSTEXPR char infinity() { return 0; }
    static ETL_CONSTEXPR char quiet_NaN() { return 0; }
    static ETL_CONSTEXPR char signaling_NaN() { return 0; }
  };

  //***************************************************************************
  // unsigned char
  template<>
  class numeric_limits<unsigned char> : public private_limits::integral_limits_common<>,
                                        public private_limits::integral_limits_unsigned_char<>
  {
  public:

    static ETL_CONSTEXPR unsigned char min() { return 0U; }
    static ETL_CONSTEXPR unsigned char max() { return UCHAR_MAX; }
    static ETL_CONSTEXPR unsigned char lowest() { return 0U; }
    static ETL_CONSTEXPR unsigned char epsilon() { return 0U; }
    static ETL_CONSTEXPR unsigned char round_error() { return 0U; }
    static ETL_CONSTEXPR unsigned char denorm_min() { return 0U; }
    static ETL_CONSTEXPR unsigned char infinity() { return 0U; }
    static ETL_CONSTEXPR unsigned char quiet_NaN() { return 0U; }
    static ETL_CONSTEXPR unsigned char signaling_NaN() { return 0U; }
  };

  //***************************************************************************
  // signed char
  template<>
  class numeric_limits<signed char> : public private_limits::integral_limits_common<>,
                                      public private_limits::integral_limits_signed_char<>
  {
  public:

    static ETL_CONSTEXPR signed char min() { return SCHAR_MIN; }
    static ETL_CONSTEXPR signed char max() { return SCHAR_MAX; }
    static ETL_CONSTEXPR signed char lowest() { return SCHAR_MIN; }
    static ETL_CONSTEXPR signed char epsilon() { return 0; }
    static ETL_CONSTEXPR signed char round_error() { return 0; }
    static ETL_CONSTEXPR signed char denorm_min() { return 0; }
    static ETL_CONSTEXPR signed char infinity() { return 0; }
    static ETL_CONSTEXPR signed char quiet_NaN() { return 0; }
    static ETL_CONSTEXPR signed char signaling_NaN() { return 0; }
  };

#if ETL_HAS_NATIVE_CHAR8_T
  //***************************************************************************
  // char8_t
  template<>
  class numeric_limits<char8_t> : public private_limits::integral_limits_common<>,
                                  public private_limits::integral_limits_char8_t<>
  {
  public:
    
    static ETL_CONSTEXPR char8_t min() { return char8_t(CHAR_MIN); }
    static ETL_CONSTEXPR char8_t max() { return char8_t(CHAR_MAX); }
    static ETL_CONSTEXPR char8_t lowest() { return char8_t(CHAR_MIN); }
    static ETL_CONSTEXPR char8_t epsilon() { return 0; }
    static ETL_CONSTEXPR char8_t round_error() { return 0; }
    static ETL_CONSTEXPR char8_t denorm_min() { return 0; }
    static ETL_CONSTEXPR char8_t infinity() { return 0; }
    static ETL_CONSTEXPR char8_t quiet_NaN() { return 0; }
    static ETL_CONSTEXPR char8_t signaling_NaN() { return 0; }
  };
#endif

#if ETL_HAS_NATIVE_CHAR16_T
  //***************************************************************************
  // char16_t
  template<>
  class numeric_limits<char16_t> : public private_limits::integral_limits_common<>,
                                   public private_limits::integral_limits_char16_t<>
  {
  public:

    static ETL_CONSTEXPR char16_t min() { return 0U; }
    static ETL_CONSTEXPR char16_t max() { return UINT_LEAST16_MAX; }
    static ETL_CONSTEXPR char16_t lowest() { return 0U; }
    static ETL_CONSTEXPR char16_t epsilon() { return 0U; }
    static ETL_CONSTEXPR char16_t round_error() { return 0U; }
    static ETL_CONSTEXPR char16_t denorm_min() { return 0U; }
    static ETL_CONSTEXPR char16_t infinity() { return 0U; }
    static ETL_CONSTEXPR char16_t quiet_NaN() { return 0U; }
    static ETL_CONSTEXPR char16_t signaling_NaN() { return 0U; }
  };
#endif

#if ETL_HAS_NATIVE_CHAR32_T
  //***************************************************************************
  // char32_t
  template<>
  class numeric_limits<char32_t> : public private_limits::integral_limits_common<>,
                                   public private_limits::integral_limits_char32_t<>
  {
  public:

    static ETL_CONSTEXPR char32_t min() { return 0U; }
    static ETL_CONSTEXPR char32_t max() { return UINT_LEAST32_MAX; }
    static ETL_CONSTEXPR char32_t lowest() { return 0U; }
    static ETL_CONSTEXPR char32_t epsilon() { return 0U; }
    static ETL_CONSTEXPR char32_t round_error() { return 0U; }
    static ETL_CONSTEXPR char32_t denorm_min() { return 0U; }
    static ETL_CONSTEXPR char32_t infinity() { return 0U; }
    static ETL_CONSTEXPR char32_t quiet_NaN() { return 0U; }
    static ETL_CONSTEXPR char32_t signaling_NaN() { return 0U; }
  };
#endif

  //***************************************************************************
  // wchar_t
  template<>
  class numeric_limits<wchar_t> : public private_limits::integral_limits_common<>,
                                  public private_limits::integral_limits_wchar_t<>
  {
  public:

    static ETL_CONSTEXPR wchar_t min() { return WCHAR_MIN; }
    static ETL_CONSTEXPR wchar_t max() { return WCHAR_MAX; }
    static ETL_CONSTEXPR wchar_t lowest() { return WCHAR_MIN; }
    static ETL_CONSTEXPR wchar_t epsilon() { return wchar_t(0); }
    static ETL_CONSTEXPR wchar_t round_error() { return wchar_t(0); }
    static ETL_CONSTEXPR wchar_t denorm_min() { return wchar_t(0); }
    static ETL_CONSTEXPR wchar_t infinity() { return wchar_t(0); }
    static ETL_CONSTEXPR wchar_t quiet_NaN() { return wchar_t(0); }
    static ETL_CONSTEXPR wchar_t signaling_NaN() { return wchar_t(0); }
  };

  //***************************************************************************
  // short
  template<>
  class numeric_limits<short> : public private_limits::integral_limits_common<>,
                                public private_limits::integral_limits_short<>
  {
  public:

    static ETL_CONSTEXPR short min() { return SHRT_MIN; }
    static ETL_CONSTEXPR short max() { return SHRT_MAX; }
    static ETL_CONSTEXPR short lowest() { return SHRT_MIN; }
    static ETL_CONSTEXPR short epsilon() { return 0; }
    static ETL_CONSTEXPR short round_error() { return 0; }
    static ETL_CONSTEXPR short denorm_min() { return 0; }
    static ETL_CONSTEXPR short infinity() { return 0; }
    static ETL_CONSTEXPR short quiet_NaN() { return 0; }
    static ETL_CONSTEXPR short signaling_NaN() { return 0; }
  };

  //***************************************************************************
  // unsigned short
  template<>
  class numeric_limits<unsigned short> : public private_limits::integral_limits_common<>,
                                         public private_limits::integral_limits_unsigned_short<>
  {
  public:

    static ETL_CONSTEXPR unsigned short min() { return 0U; }
    static ETL_CONSTEXPR unsigned short max() { return USHRT_MAX; }
    static ETL_CONSTEXPR unsigned short lowest() { return 0U; }
    static ETL_CONSTEXPR unsigned short epsilon() { return 0U; }
    static ETL_CONSTEXPR unsigned short round_error() { return 0U; }
    static ETL_CONSTEXPR unsigned short denorm_min() { return 0U; }
    static ETL_CONSTEXPR unsigned short infinity() { return 0U; }
    static ETL_CONSTEXPR unsigned short quiet_NaN() { return 0U; }
    static ETL_CONSTEXPR unsigned short signaling_NaN() { return 0U; }
  };

  //***************************************************************************
  // int
  template<>
  class numeric_limits<int> : public private_limits::integral_limits_common<>,
                              public private_limits::integral_limits_int<>
  {
  public:

    static ETL_CONSTEXPR int min() { return INT_MIN; }
    static ETL_CONSTEXPR int max() { return INT_MAX; }
    static ETL_CONSTEXPR int lowest() { return INT_MIN; }
    static ETL_CONSTEXPR int epsilon() { return 0; }
    static ETL_CONSTEXPR int round_error() { return 0; }
    static ETL_CONSTEXPR int denorm_min() { return 0; }
    static ETL_CONSTEXPR int infinity() { return 0; }
    static ETL_CONSTEXPR int quiet_NaN() { return 0; }
    static ETL_CONSTEXPR int signaling_NaN() { return 0; }
  };

  //***************************************************************************
  // unsigned int
  template<>
  class numeric_limits<unsigned int> : public private_limits::integral_limits_common<>,
                                       public private_limits::integral_limits_unsigned_int<>
  {
  public:

    static ETL_CONSTEXPR unsigned int min() { return 0U; }
    static ETL_CONSTEXPR unsigned int max() { return UINT_MAX; }
    static ETL_CONSTEXPR unsigned int lowest() { return 0U; }
    static ETL_CONSTEXPR unsigned int epsilon() { return 0U; }
    static ETL_CONSTEXPR unsigned int round_error() { return 0U; }
    static ETL_CONSTEXPR unsigned int denorm_min() { return 0U; }
    static ETL_CONSTEXPR unsigned int infinity() { return 0U; }
    static ETL_CONSTEXPR unsigned int quiet_NaN() { return 0U; }
    static ETL_CONSTEXPR unsigned int signaling_NaN() { return 0U; }
  };

  //***************************************************************************
  // long
  template<>
  class numeric_limits<long> : public private_limits::integral_limits_common<>,
                               public private_limits::integral_limits_long<>
  {
  public:

    static ETL_CONSTEXPR long min() { return LONG_MIN; }
    static ETL_CONSTEXPR long max() { return LONG_MAX; }
    static ETL_CONSTEXPR long lowest() { return LONG_MIN; }
    static ETL_CONSTEXPR long epsilon() { return 0; }
    static ETL_CONSTEXPR long round_error() { return 0; }
    static ETL_CONSTEXPR long denorm_min() { return 0; }
    static ETL_CONSTEXPR long infinity() { return 0; }
    static ETL_CONSTEXPR long quiet_NaN() { return 0; }
    static ETL_CONSTEXPR long signaling_NaN() { return 0; }
  };

  //***************************************************************************
  // unsigned long
  template<>
  class numeric_limits<unsigned long> : public private_limits::integral_limits_common<>,
                                        public private_limits::integral_limits_unsigned_long<>
  {
  public:

    static ETL_CONSTEXPR unsigned long min() { return 0U; }
    static ETL_CONSTEXPR unsigned long max() { return ULONG_MAX; }
    static ETL_CONSTEXPR unsigned long lowest() { return 0U; }
    static ETL_CONSTEXPR unsigned long epsilon() { return 0U; }
    static ETL_CONSTEXPR unsigned long round_error() { return 0U; }
    static ETL_CONSTEXPR unsigned long denorm_min() { return 0U; }
    static ETL_CONSTEXPR unsigned long infinity() { return 0U; }
    static ETL_CONSTEXPR unsigned long quiet_NaN() { return 0U; }
    static ETL_CONSTEXPR unsigned long signaling_NaN() { return 0U; }
  };

  //***************************************************************************
  // long long
  template<>
  class numeric_limits<long long> : public private_limits::integral_limits_common<>,
                                    public private_limits::integral_limits_long_long<>
  {
  public:

    static ETL_CONSTEXPR long long min() { return LLONG_MIN; }
    static ETL_CONSTEXPR long long max() { return LLONG_MAX; }
    static ETL_CONSTEXPR long long lowest() { return LLONG_MIN; }
    static ETL_CONSTEXPR long long epsilon() { return 0; }
    static ETL_CONSTEXPR long long round_error() { return 0; }
    static ETL_CONSTEXPR long long denorm_min() { return 0; }
    static ETL_CONSTEXPR long long infinity() { return 0; }
    static ETL_CONSTEXPR long long quiet_NaN() { return 0; }
    static ETL_CONSTEXPR long long signaling_NaN() { return 0; }
  };

  //***************************************************************************
  // unsigned long long
  template<>
  class numeric_limits<unsigned long long> : public private_limits::integral_limits_common<>,
                                             public private_limits::integral_limits_unsigned_long_long<>
  {
  public:

    static ETL_CONSTEXPR unsigned long long min() { return 0U; }
    static ETL_CONSTEXPR unsigned long long max() { return ULLONG_MAX; }
    static ETL_CONSTEXPR unsigned long long lowest() { return 0U; }
    static ETL_CONSTEXPR unsigned long long epsilon() { return 0U; }
    static ETL_CONSTEXPR unsigned long long round_error() { return 0U; }
    static ETL_CONSTEXPR unsigned long long denorm_min() { return 0U; }
    static ETL_CONSTEXPR unsigned long long infinity() { return 0U; }
    static ETL_CONSTEXPR unsigned long long quiet_NaN() { return 0U; }
    static ETL_CONSTEXPR unsigned long long signaling_NaN() { return 0U; }
  };

  //***************************************************************************
  // float
  template<>
  class numeric_limits<float> : public private_limits::floating_point_limits_common<>,
                                public private_limits::floating_point_limits_float<>
  {
  public:

    static ETL_CONSTEXPR float min() { return FLT_MIN; }
    static ETL_CONSTEXPR float max() { return FLT_MAX; }
    static ETL_CONSTEXPR float lowest() { return -FLT_MAX; }
    static ETL_CONSTEXPR float epsilon() { return FLT_EPSILON; }
    static ETL_CONSTEXPR float denorm_min() { return FLT_MIN; }
    static ETL_CONSTEXPR float infinity() { return HUGE_VALF; }
    static float round_error() { return 0.5f; }
    static float quiet_NaN() { return ETL_NANF; }
    static float signaling_NaN() { return ETL_NANF; }
  };

  //***************************************************************************
  // double
  template<>
  class numeric_limits<double> : public private_limits::floating_point_limits_common<>,
                                 public private_limits::floating_point_limits_double<>
  {
  public:

    static ETL_CONSTEXPR double min() { return DBL_MIN; }
    static ETL_CONSTEXPR double max() { return DBL_MAX; }
    static ETL_CONSTEXPR double lowest() { return -DBL_MAX; }
    static ETL_CONSTEXPR double epsilon() { return DBL_EPSILON; }
    static ETL_CONSTEXPR double denorm_min() { return DBL_MIN; }
    static ETL_CONSTEXPR double infinity() { return HUGE_VAL; }
    static double round_error() { return 0.5; }
    static double quiet_NaN() { return ETL_NAN; }
    static double signaling_NaN() { return ETL_NAN; }
  };

  //***************************************************************************
  // long double
  template<>
  class numeric_limits<long double> : public private_limits::floating_point_limits_common<>,
                                      public private_limits::floating_point_limits_long_double<>
  {
  public:

    static ETL_CONSTEXPR long double min() { return LDBL_MIN; }
    static ETL_CONSTEXPR long double max() { return LDBL_MAX; }
    static ETL_CONSTEXPR long double lowest() { return -LDBL_MAX; }
    static ETL_CONSTEXPR long double epsilon() { return LDBL_EPSILON; }
    static ETL_CONSTEXPR long double denorm_min() { return LDBL_MIN; }
    static ETL_CONSTEXPR long double infinity() { return HUGE_VALL; }
    static long double round_error() { return 0.5L; }
    static long double quiet_NaN() { return ETL_NANL; }
    static long double signaling_NaN() { return ETL_NANL; }
  };
}

#else

#include <limits>

namespace etl
{
  enum float_round_style
  {
    round_indeterminate       = std::round_indeterminate,
    round_toward_zero         = std::round_toward_zero,
    round_to_nearest          = std::round_to_nearest,
    round_toward_infinity     = std::round_toward_infinity,
    round_toward_neg_infinity = std::round_toward_neg_infinity,
  };

  enum float_denorm_style
  {
    denorm_indeterminate = std::denorm_indeterminate,
    denorm_absent        = std::denorm_absent,
    denorm_present       = std::denorm_present
  };

#if ETL_USING_CPP11
  template <typename T>
  using numeric_limits = std::numeric_limits<T>;
#else
  template <typename T>
  class numeric_limits : public std::numeric_limits<T>
  {
  };
#endif
}
#endif

#if defined(ETL_COMPILER_MICROSOFT)
  #pragma warning(pop)
#endif

#include "private/minmax_pop.h"

#endif