std::numeric_limits<T>::round_style

 

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通用工具 日期和时间 函数对象 bitset 格式化库 (C++20) hash (C++11) integer_sequence (C++14) 关系运算符 (C++20 中弃用) rel_ops::operator!=rel_ops::operator> rel_ops::operator<=rel_ops::operator>= 整数比较函数 cmp_equalcmp_lesscmp_less_than (C++20)(C++20)(C++20) cmp_not_equalcmp_greatercmp_greater_than (C++20)(C++20)(C++20) in_range (C++20) swap 与类型运算 swap ranges::swap (C++20) exchange (C++14) declval (C++11) forward (C++11) move (C++11) move_if_noexcept (C++11) as_const (C++17) to_underlying (C++23) 常用词汇类型 pair tuple (C++11) optional (C++17) any (C++17) variant (C++17) tuple_size (C++11) tuple_element (C++11) apply (C++17) make_from_tuple (C++17) 初等字符串转换 to_chars (C++17) from_chars (C++17) chars_format (C++17) 栈踪 stacktrace_entry (C++23) basic_stacktrace (C++23)

 

类型支持

基本类型
基础类型
定宽整数类型 (C++11)
ptrdiff_t size_t max_align_t (C++11) byte (C++17)	nullptr_t (C++11) offsetof NULL
数值极限
numeric_limits
C 数值极限接口
运行时类型信息
type_info type_index (C++11)	bad_typeid bad_cast
类型特性
类型类别
is_void (C++11) is_null_pointer (C++14) is_array (C++11) is_pointer (C++11) is_enum (C++11) is_union (C++11) is_class (C++11) is_function (C++11)	is_object (C++11) is_scalar (C++11) is_compound (C++11) is_integral (C++11) is_floating_point (C++11) is_fundamental (C++11) is_arithmetic (C++11)
is_reference (C++11)
is_lvalue_reference (C++11)
is_rvalue_reference (C++11)
is_member_pointer (C++11)
is_member_object_pointer (C++11)
is_member_function_pointer (C++11)

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has_unique_object_representations (C++17)
类型特性常量
integral_constantbool_constanttrue_typefalse_type (C++11)(C++17)(C++11)(C++11)
元函数
conjunction (C++17)
disjunction (C++17)
negation (C++17)
常量求值语境
is_constant_evaluated (C++20)

受支持操作
is_constructibleis_trivially_constructibleis_nothrow_constructible (C++11)(C++11)(C++11)
is_default_constructibleis_trivially_default_constructibleis_nothrow_default_constructible (C++11)(C++11)(C++11)
is_copy_constructibleis_trivially_copy_constructibleis_nothrow_copy_constructible (C++11)(C++11)(C++11)
is_move_constructibleis_trivially_move_constructibleis_nothrow_move_constructible (C++11)(C++11)(C++11)
is_assignableis_trivially_assignableis_nothrow_assignable (C++11)(C++11)(C++11)
is_copy_assignableis_trivially_copy_assignableis_nothrow_copy_assignable (C++11)(C++11)(C++11)
is_move_assignableis_trivially_move_assignableis_nothrow_move_assignable (C++11)(C++11)(C++11)
is_destructibleis_trivially_destructibleis_nothrow_destructible (C++11)(C++11)(C++11)
has_virtual_destructor (C++11)
is_swappable_withis_swappableis_nothrow_swappable_withis_nothrow_swappable (C++17)(C++17)(C++17)(C++17)
关系与属性查询
is_same (C++11) is_base_of (C++11) is_convertibleis_nothrow_convertible (C++11)(C++20) is_layout_compatible (C++20) is_pointer_interconvertible_base_of (C++20) is_pointer_interconvertible_with_class (C++20) is_corresponding_member (C++20)	alignment_of (C++11) rank (C++11) extent (C++11) is_invocableis_invocable_ris_nothrow_invocableis_nothrow_invocable_r (C++17)(C++17)(C++17)(C++17)
类型修改
remove_cvremove_constremove_volatile (C++11)(C++11)(C++11) add_cvadd_constadd_volatile (C++11)(C++11)(C++11) make_signed (C++11) make_unsigned (C++11)	remove_reference (C++11) add_lvalue_referenceadd_rvalue_reference (C++11)(C++11) remove_pointer (C++11) add_pointer (C++11) remove_extent (C++11) remove_all_extents (C++11)
类型变换
aligned_storage (C++11) aligned_union (C++11) decay (C++11) remove_cvref (C++20) enable_if (C++11) void_t (C++17)	conditional (C++11) common_type (C++11) common_reference (C++20) underlying_type (C++11) result_ofinvoke_result (C++11)(C++20 前)(C++17) type_identity (C++20)

 

std::numeric_limits

静态常量

numeric_limits::is_specialized

numeric_limits::is_signed

numeric_limits::is_integer

numeric_limits::is_exact

numeric_limits::has_infinity

numeric_limits::has_quiet_NaN

numeric_limits::has_signaling_NaN

numeric_limits::has_denorm

numeric_limits::has_denorm_loss

numeric_limits::round_style

numeric_limits::is_iec559

numeric_limits::is_bounded

numeric_limits::is_modulo

numeric_limits::digits

numeric_limits::digits10

numeric_limits::max_digits10 (C++11)

numeric_limits::radix

numeric_limits::min_exponent

numeric_limits::min_exponent10

numeric_limits::max_exponent

numeric_limits::max_exponent10

numeric_limits::traps

numeric_limits::tinyness_before

静态成员函数

numeric_limits::min

numeric_limits::lowest (C++11)

numeric_limits::max

numeric_limits::epsilon

numeric_limits::round_error

numeric_limits::infinity

numeric_limits::quiet_NaN

numeric_limits::signaling_NaN

numeric_limits::denorm_min

辅助类型

float_round_style

float_denorm_style

 

static const std::float_round_style round_style;		(C++11 前)
static constexpr std::float_round_style round_style;		(C++11 起)

std::numeric_limits<T>::round_style 的值鉴别浮点类型 T 在凡将不能以 T 的值表示的值存储于该类型的对象时所用的舍入模式。

标准特化

T	std::numeric_limits<T>::round_style 的值
/* non-specialized */	std::round_toward_zero
bool	std::round_toward_zero
char	std::round_toward_zero
signed char	std::round_toward_zero
unsigned char	std::round_toward_zero
wchar_t	std::round_toward_zero
char8_t (C++20)	std::round_toward_zero
char16_t (C++11)	std::round_toward_zero
char32_t (C++11)	std::round_toward_zero
short	std::round_toward_zero
unsigned short	std::round_toward_zero
int	std::round_toward_zero
unsigned int	std::round_toward_zero
long	std::round_toward_zero
unsigned long	std::round_toward_zero
long long (C++11)	std::round_toward_zero
unsigned long long (C++11)	std::round_toward_zero
float	通常为 std::round_to_nearest
double	通常为 std::round_to_nearest
long double	通常为 std::round_to_nearest

注解

这些值是常量，且不反映 std::fesetround 所做的舍入模式更改。可从 FLT_ROUNDS 或 std::fegetround 获得更改后的值。

示例

十进制值 0.1 不能表示成二进制浮点类型。在存储于 IEEE-754 double 时，它落入 0x1.9999999999999*2-4
与 0x1.999999999999a*2-4
之间。舍入到最近可表示结果导致 0x1.999999999999a*2-4
。

同样地，十进制值 0.3 在 0x1.3333333333333*2-2
与 0x1.3333333333334*2-2
之间，舍入到最近值后存储为 0x1.3333333333333*2-2
。

运行此代码

#include <iostream>
#include <limits>
int main()
{
    std::cout << std::hexfloat << "The decimal 0.1 is stored in a double as "
              << 0.1 << '\n'
              << "The decimal 0.3 is stored in a double as "
              << 0.3 << '\n'
              << "The rounding style is " << std::numeric_limits<double>::round_style << '\n';
}

输出：

The decimal 0.1 is stored in a double as 0x1.999999999999ap-4
The decimal 0.3 is stored in a double as 0x1.3333333333333p-2
The rounding style is 1

参阅

float_round_style

指示浮点舍入模式 (枚举)