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C++

// -*- C++ -*-
//===----------------------------------------------------------------------===//
//
// Part of libcu++, the C++ Standard Library for your entire system,
// under the Apache License v2.0 with LLVM Exceptions.
// See https://llvm.org/LICENSE.txt for license information.
// SPDX-License-Identifier: Apache-2.0 WITH LLVM-exception
// SPDX-FileCopyrightText: Copyright (c) 2025 NVIDIA CORPORATION & AFFILIATES.
//
//===----------------------------------------------------------------------===//
#ifndef _LIBCUDACXX___LIMITS_NUMERIC_LIMITS_H
#define _LIBCUDACXX___LIMITS_NUMERIC_LIMITS_H
#include <cuda/std/detail/__config>
#if defined(_CCCL_IMPLICIT_SYSTEM_HEADER_GCC)
# pragma GCC system_header
#elif defined(_CCCL_IMPLICIT_SYSTEM_HEADER_CLANG)
# pragma clang system_header
#elif defined(_CCCL_IMPLICIT_SYSTEM_HEADER_MSVC)
# pragma system_header
#endif // no system header
#include <cuda/std/__bit/bit_cast.h>
#include <cuda/std/__type_traits/is_extended_floating_point.h>
#include <cuda/std/__type_traits/is_floating_point.h>
#include <cuda/std/__type_traits/is_integral.h>
#include <cuda/std/__type_traits/is_same.h>
#include <cuda/std/climits>
_LIBCUDACXX_BEGIN_NAMESPACE_STD
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
};
enum class __numeric_limits_type
{
__integral,
__bool,
__floating_point,
__other,
};
template <class _Tp>
_LIBCUDACXX_HIDE_FROM_ABI constexpr __numeric_limits_type __make_numeric_limits_type()
{
#if !defined(_CCCL_NO_IF_CONSTEXPR)
if constexpr (_CCCL_TRAIT(is_same, _Tp, bool))
{
return __numeric_limits_type::__bool;
}
else if constexpr (_CCCL_TRAIT(is_integral, _Tp))
{
return __numeric_limits_type::__integral;
}
else if constexpr (_CCCL_TRAIT(is_floating_point, _Tp) || _CCCL_TRAIT(__is_extended_floating_point, _Tp))
{
return __numeric_limits_type::__floating_point;
}
else
{
return __numeric_limits_type::__other;
}
#else // ^^^ !_CCCL_NO_IF_CONSTEXPR ^^^ // vvv _CCCL_NO_IF_CONSTEXPR vvv
return _CCCL_TRAIT(is_same, _Tp, bool)
? __numeric_limits_type::__bool
: (_CCCL_TRAIT(is_integral, _Tp)
? __numeric_limits_type::__integral
: (_CCCL_TRAIT(is_floating_point, _Tp) || _CCCL_TRAIT(__is_extended_floating_point, _Tp)
? __numeric_limits_type::__floating_point
: __numeric_limits_type::__other));
#endif // _CCCL_NO_IF_CONSTEXPR
}
template <class _Tp, __numeric_limits_type = __make_numeric_limits_type<_Tp>()>
class __numeric_limits_impl
{
public:
using type = _Tp;
static constexpr bool is_specialized = false;
_LIBCUDACXX_HIDE_FROM_ABI static constexpr type min() noexcept
{
return type();
}
_LIBCUDACXX_HIDE_FROM_ABI static constexpr type max() noexcept
{
return type();
}
_LIBCUDACXX_HIDE_FROM_ABI static constexpr type lowest() noexcept
{
return type();
}
static constexpr int digits = 0;
static constexpr int digits10 = 0;
static constexpr int max_digits10 = 0;
static constexpr bool is_signed = false;
static constexpr bool is_integer = false;
static constexpr bool is_exact = false;
static constexpr int radix = 0;
_LIBCUDACXX_HIDE_FROM_ABI static constexpr type epsilon() noexcept
{
return type();
}
_LIBCUDACXX_HIDE_FROM_ABI static constexpr type round_error() noexcept
{
return type();
}
static constexpr int min_exponent = 0;
static constexpr int min_exponent10 = 0;
static constexpr int max_exponent = 0;
static constexpr int max_exponent10 = 0;
static constexpr bool has_infinity = false;
static constexpr bool has_quiet_NaN = false;
static constexpr bool has_signaling_NaN = false;
static constexpr float_denorm_style has_denorm = denorm_absent;
static constexpr bool has_denorm_loss = false;
_LIBCUDACXX_HIDE_FROM_ABI static constexpr type infinity() noexcept
{
return type();
}
_LIBCUDACXX_HIDE_FROM_ABI static constexpr type quiet_NaN() noexcept
{
return type();
}
_LIBCUDACXX_HIDE_FROM_ABI static constexpr type signaling_NaN() noexcept
{
return type();
}
_LIBCUDACXX_HIDE_FROM_ABI static constexpr type denorm_min() noexcept
{
return type();
}
static constexpr bool is_iec559 = false;
static constexpr bool is_bounded = false;
static constexpr bool is_modulo = false;
static constexpr bool traps = false;
static constexpr bool tinyness_before = false;
static constexpr float_round_style round_style = round_toward_zero;
};
// MSVC warns about overflowing left shift
_CCCL_DIAG_PUSH
_CCCL_DIAG_SUPPRESS_MSVC(4309)
template <class _Tp, int __digits, bool _IsSigned>
struct __int_min
{
static constexpr _Tp value = static_cast<_Tp>(_Tp(1) << __digits);
};
_CCCL_DIAG_POP
template <class _Tp, int __digits>
struct __int_min<_Tp, __digits, false>
{
static constexpr _Tp value = _Tp(0);
};
template <class _Tp>
class __numeric_limits_impl<_Tp, __numeric_limits_type::__integral>
{
public:
using type = _Tp;
static constexpr bool is_specialized = true;
static constexpr bool is_signed = type(-1) < type(0);
static constexpr int digits = static_cast<int>(sizeof(type) * __CHAR_BIT__ - is_signed);
static constexpr int digits10 = digits * 3 / 10;
static constexpr int max_digits10 = 0;
_LIBCUDACXX_HIDE_FROM_ABI static constexpr type min() noexcept
{
return __int_min<type, digits, is_signed>::value;
}
_LIBCUDACXX_HIDE_FROM_ABI static constexpr type max() noexcept
{
return is_signed ? type(type(~0) ^ min()) : type(~0);
}
_LIBCUDACXX_HIDE_FROM_ABI static constexpr type lowest() noexcept
{
return min();
}
static constexpr bool is_integer = true;
static constexpr bool is_exact = true;
static constexpr int radix = 2;
_LIBCUDACXX_HIDE_FROM_ABI static constexpr type epsilon() noexcept
{
return type(0);
}
_LIBCUDACXX_HIDE_FROM_ABI static constexpr type round_error() noexcept
{
return type(0);
}
static constexpr int min_exponent = 0;
static constexpr int min_exponent10 = 0;
static constexpr int max_exponent = 0;
static constexpr int max_exponent10 = 0;
static constexpr bool has_infinity = false;
static constexpr bool has_quiet_NaN = false;
static constexpr bool has_signaling_NaN = false;
static constexpr float_denorm_style has_denorm = denorm_absent;
static constexpr bool has_denorm_loss = false;
_LIBCUDACXX_HIDE_FROM_ABI static constexpr type infinity() noexcept
{
return type(0);
}
_LIBCUDACXX_HIDE_FROM_ABI static constexpr type quiet_NaN() noexcept
{
return type(0);
}
_LIBCUDACXX_HIDE_FROM_ABI static constexpr type signaling_NaN() noexcept
{
return type(0);
}
_LIBCUDACXX_HIDE_FROM_ABI static constexpr type denorm_min() noexcept
{
return type(0);
}
static constexpr bool is_iec559 = false;
static constexpr bool is_bounded = true;
static constexpr bool is_modulo = !is_signed;
#if (_CCCL_ARCH(X86_64) && _CCCL_OS(LINUX)) || defined(__pnacl__) || defined(__wasm__)
static constexpr bool traps = true;
#else
static constexpr bool traps = false;
#endif
static constexpr bool tinyness_before = false;
static constexpr float_round_style round_style = round_toward_zero;
};
template <>
class __numeric_limits_impl<bool, __numeric_limits_type::__bool>
{
public:
using type = bool;
static constexpr bool is_specialized = true;
static constexpr bool is_signed = false;
static constexpr int digits = 1;
static constexpr int digits10 = 0;
static constexpr int max_digits10 = 0;
_LIBCUDACXX_HIDE_FROM_ABI static constexpr type min() noexcept
{
return false;
}
_LIBCUDACXX_HIDE_FROM_ABI static constexpr type max() noexcept
{
return true;
}
_LIBCUDACXX_HIDE_FROM_ABI static constexpr type lowest() noexcept
{
return min();
}
static constexpr bool is_integer = true;
static constexpr bool is_exact = true;
static constexpr int radix = 2;
_LIBCUDACXX_HIDE_FROM_ABI static constexpr type epsilon() noexcept
{
return type(0);
}
_LIBCUDACXX_HIDE_FROM_ABI static constexpr type round_error() noexcept
{
return type(0);
}
static constexpr int min_exponent = 0;
static constexpr int min_exponent10 = 0;
static constexpr int max_exponent = 0;
static constexpr int max_exponent10 = 0;
static constexpr bool has_infinity = false;
static constexpr bool has_quiet_NaN = false;
static constexpr bool has_signaling_NaN = false;
static constexpr float_denorm_style has_denorm = denorm_absent;
static constexpr bool has_denorm_loss = false;
_LIBCUDACXX_HIDE_FROM_ABI static constexpr type infinity() noexcept
{
return type(0);
}
_LIBCUDACXX_HIDE_FROM_ABI static constexpr type quiet_NaN() noexcept
{
return type(0);
}
_LIBCUDACXX_HIDE_FROM_ABI static constexpr type signaling_NaN() noexcept
{
return type(0);
}
_LIBCUDACXX_HIDE_FROM_ABI static constexpr type denorm_min() noexcept
{
return type(0);
}
static constexpr bool is_iec559 = false;
static constexpr bool is_bounded = true;
static constexpr bool is_modulo = false;
static constexpr bool traps = false;
static constexpr bool tinyness_before = false;
static constexpr float_round_style round_style = round_toward_zero;
};
template <>
class __numeric_limits_impl<float, __numeric_limits_type::__floating_point>
{
public:
using type = float;
static constexpr bool is_specialized = true;
static constexpr bool is_signed = true;
static constexpr int digits = __FLT_MANT_DIG__;
static constexpr int digits10 = __FLT_DIG__;
static constexpr int max_digits10 = 2 + (digits * 30103l) / 100000l;
_LIBCUDACXX_HIDE_FROM_ABI static constexpr type min() noexcept
{
return __FLT_MIN__;
}
_LIBCUDACXX_HIDE_FROM_ABI static constexpr type max() noexcept
{
return __FLT_MAX__;
}
_LIBCUDACXX_HIDE_FROM_ABI static constexpr type lowest() noexcept
{
return -max();
}
static constexpr bool is_integer = false;
static constexpr bool is_exact = false;
static constexpr int radix = __FLT_RADIX__;
_LIBCUDACXX_HIDE_FROM_ABI static constexpr type epsilon() noexcept
{
return __FLT_EPSILON__;
}
_LIBCUDACXX_HIDE_FROM_ABI static constexpr type round_error() noexcept
{
return 0.5F;
}
static constexpr int min_exponent = __FLT_MIN_EXP__;
static constexpr int min_exponent10 = __FLT_MIN_10_EXP__;
static constexpr int max_exponent = __FLT_MAX_EXP__;
static constexpr int max_exponent10 = __FLT_MAX_10_EXP__;
static constexpr bool has_infinity = true;
static constexpr bool has_quiet_NaN = true;
static constexpr bool has_signaling_NaN = true;
static constexpr float_denorm_style has_denorm = denorm_present;
static constexpr bool has_denorm_loss = false;
#if defined(_CCCL_BUILTIN_HUGE_VALF)
_LIBCUDACXX_HIDE_FROM_ABI static constexpr type infinity() noexcept
{
return _CCCL_BUILTIN_HUGE_VALF();
}
#else // ^^^ _CCCL_BUILTIN_HUGE_VALF ^^^ // vvv !_CCCL_BUILTIN_HUGE_VALF vvv
_LIBCUDACXX_HIDE_FROM_ABI static _LIBCUDACXX_CONSTEXPR_BIT_CAST type infinity() noexcept
{
return _CUDA_VSTD::bit_cast<type>(0x7f800000);
}
#endif // !_CCCL_BUILTIN_HUGE_VALF
#if defined(_CCCL_BUILTIN_NANF)
_LIBCUDACXX_HIDE_FROM_ABI static constexpr type quiet_NaN() noexcept
{
return _CCCL_BUILTIN_NANF("");
}
#else // ^^^ _CCCL_BUILTIN_NANF ^^^ // vvv !_CCCL_BUILTIN_NANF vvv
_LIBCUDACXX_HIDE_FROM_ABI static _LIBCUDACXX_CONSTEXPR_BIT_CAST type quiet_NaN() noexcept
{
return _CUDA_VSTD::bit_cast<type>(0x7fc00000);
}
#endif // !_CCCL_BUILTIN_NANF
#if defined(_CCCL_BUILTIN_NANSF)
_LIBCUDACXX_HIDE_FROM_ABI static constexpr type signaling_NaN() noexcept
{
return _CCCL_BUILTIN_NANSF("");
}
#else // ^^^ _CCCL_BUILTIN_NANSF ^^^ // vvv !_CCCL_BUILTIN_NANSF vvv
_LIBCUDACXX_HIDE_FROM_ABI static _LIBCUDACXX_CONSTEXPR_BIT_CAST type signaling_NaN() noexcept
{
return _CUDA_VSTD::bit_cast<type>(0x7fa00000);
}
#endif // !_CCCL_BUILTIN_NANSF
_LIBCUDACXX_HIDE_FROM_ABI static constexpr type denorm_min() noexcept
{
return __FLT_DENORM_MIN__;
}
static constexpr bool is_iec559 = true;
static constexpr bool is_bounded = true;
static constexpr bool is_modulo = false;
static constexpr bool traps = false;
static constexpr bool tinyness_before = false;
static constexpr float_round_style round_style = round_to_nearest;
};
template <>
class __numeric_limits_impl<double, __numeric_limits_type::__floating_point>
{
public:
using type = double;
static constexpr bool is_specialized = true;
static constexpr bool is_signed = true;
static constexpr int digits = __DBL_MANT_DIG__;
static constexpr int digits10 = __DBL_DIG__;
static constexpr int max_digits10 = 2 + (digits * 30103l) / 100000l;
_LIBCUDACXX_HIDE_FROM_ABI static constexpr type min() noexcept
{
return __DBL_MIN__;
}
_LIBCUDACXX_HIDE_FROM_ABI static constexpr type max() noexcept
{
return __DBL_MAX__;
}
_LIBCUDACXX_HIDE_FROM_ABI static constexpr type lowest() noexcept
{
return -max();
}
static constexpr bool is_integer = false;
static constexpr bool is_exact = false;
static constexpr int radix = __FLT_RADIX__;
_LIBCUDACXX_HIDE_FROM_ABI static constexpr type epsilon() noexcept
{
return __DBL_EPSILON__;
}
_LIBCUDACXX_HIDE_FROM_ABI static constexpr type round_error() noexcept
{
return 0.5;
}
static constexpr int min_exponent = __DBL_MIN_EXP__;
static constexpr int min_exponent10 = __DBL_MIN_10_EXP__;
static constexpr int max_exponent = __DBL_MAX_EXP__;
static constexpr int max_exponent10 = __DBL_MAX_10_EXP__;
static constexpr bool has_infinity = true;
static constexpr bool has_quiet_NaN = true;
static constexpr bool has_signaling_NaN = true;
static constexpr float_denorm_style has_denorm = denorm_present;
static constexpr bool has_denorm_loss = false;
#if defined(_CCCL_BUILTIN_HUGE_VAL)
_LIBCUDACXX_HIDE_FROM_ABI static constexpr type infinity() noexcept
{
return _CCCL_BUILTIN_HUGE_VAL();
}
#else // ^^^ _CCCL_BUILTIN_HUGE_VAL ^^^ // vvv !_CCCL_BUILTIN_HUGE_VAL vvv
_LIBCUDACXX_HIDE_FROM_ABI static _LIBCUDACXX_CONSTEXPR_BIT_CAST type infinity() noexcept
{
return _CUDA_VSTD::bit_cast<type>(0x7ff0000000000000);
}
#endif // !_CCCL_BUILTIN_HUGE_VAL
#if defined(_CCCL_BUILTIN_NAN)
_LIBCUDACXX_HIDE_FROM_ABI static constexpr type quiet_NaN() noexcept
{
return _CCCL_BUILTIN_NAN("");
}
#else // ^^^ _CCCL_BUILTIN_NAN ^^^ // vvv !_CCCL_BUILTIN_NAN vvv
_LIBCUDACXX_HIDE_FROM_ABI static _LIBCUDACXX_CONSTEXPR_BIT_CAST type quiet_NaN() noexcept
{
return _CUDA_VSTD::bit_cast<type>(0x7ff8000000000000);
}
#endif // !_CCCL_BUILTIN_NAN
#if defined(_CCCL_BUILTIN_NANS)
_LIBCUDACXX_HIDE_FROM_ABI static constexpr type signaling_NaN() noexcept
{
return _CCCL_BUILTIN_NANS("");
}
#else // ^^^ _CCCL_BUILTIN_NANS ^^^ // vvv !_CCCL_BUILTIN_NANS vvv
_LIBCUDACXX_HIDE_FROM_ABI static _LIBCUDACXX_CONSTEXPR_BIT_CAST type signaling_NaN() noexcept
{
return _CUDA_VSTD::bit_cast<type>(0x7ff4000000000000);
}
#endif // !_CCCL_BUILTIN_NANS
_LIBCUDACXX_HIDE_FROM_ABI static constexpr type denorm_min() noexcept
{
return __DBL_DENORM_MIN__;
}
static constexpr bool is_iec559 = true;
static constexpr bool is_bounded = true;
static constexpr bool is_modulo = false;
static constexpr bool traps = false;
static constexpr bool tinyness_before = false;
static constexpr float_round_style round_style = round_to_nearest;
};
template <>
class __numeric_limits_impl<long double, __numeric_limits_type::__floating_point>
{
#if _CCCL_HAS_LONG_DOUBLE()
public:
using type = long double;
static constexpr bool is_specialized = true;
static constexpr bool is_signed = true;
static constexpr int digits = __LDBL_MANT_DIG__;
static constexpr int digits10 = __LDBL_DIG__;
static constexpr int max_digits10 = 2 + (digits * 30103l) / 100000l;
_LIBCUDACXX_HIDE_FROM_ABI static constexpr type min() noexcept
{
return __LDBL_MIN__;
}
_LIBCUDACXX_HIDE_FROM_ABI static constexpr type max() noexcept
{
return __LDBL_MAX__;
}
_LIBCUDACXX_HIDE_FROM_ABI static constexpr type lowest() noexcept
{
return -max();
}
static constexpr bool is_integer = false;
static constexpr bool is_exact = false;
static constexpr int radix = __FLT_RADIX__;
_LIBCUDACXX_HIDE_FROM_ABI static constexpr type epsilon() noexcept
{
return __LDBL_EPSILON__;
}
_LIBCUDACXX_HIDE_FROM_ABI static constexpr type round_error() noexcept
{
return 0.5L;
}
static constexpr int min_exponent = __LDBL_MIN_EXP__;
static constexpr int min_exponent10 = __LDBL_MIN_10_EXP__;
static constexpr int max_exponent = __LDBL_MAX_EXP__;
static constexpr int max_exponent10 = __LDBL_MAX_10_EXP__;
static constexpr bool has_infinity = true;
static constexpr bool has_quiet_NaN = true;
static constexpr bool has_signaling_NaN = true;
static constexpr float_denorm_style has_denorm = denorm_present;
static constexpr bool has_denorm_loss = false;
_LIBCUDACXX_HIDE_FROM_ABI static constexpr type infinity() noexcept
{
return _CCCL_BUILTIN_HUGE_VALL();
}
_LIBCUDACXX_HIDE_FROM_ABI static constexpr type quiet_NaN() noexcept
{
return _CCCL_BUILTIN_NANL("");
}
_LIBCUDACXX_HIDE_FROM_ABI static constexpr type signaling_NaN() noexcept
{
return _CCCL_BUILTIN_NANSL("");
}
_LIBCUDACXX_HIDE_FROM_ABI static constexpr type denorm_min() noexcept
{
return __LDBL_DENORM_MIN__;
}
static constexpr bool is_iec559 = true;
static constexpr bool is_bounded = true;
static constexpr bool is_modulo = false;
static constexpr bool traps = false;
static constexpr bool tinyness_before = false;
static constexpr float_round_style round_style = round_to_nearest;
#endif // _CCCL_HAS_LONG_DOUBLE()
};
template <class _Tp>
class numeric_limits : public __numeric_limits_impl<_Tp>
{};
template <class _Tp>
class numeric_limits<const _Tp> : public numeric_limits<_Tp>
{};
template <class _Tp>
class numeric_limits<volatile _Tp> : public numeric_limits<_Tp>
{};
template <class _Tp>
class numeric_limits<const volatile _Tp> : public numeric_limits<_Tp>
{};
_LIBCUDACXX_END_NAMESPACE_STD
#endif // _LIBCUDACXX___LIMITS_NUMERIC_LIMITS_H