std::add_sat - cppreference.com (original) (raw)
| | | | | --------------------------------------------------------------- | | ------------- | | template< class T > constexpr T add_sat( T x, T y ) noexcept; | | (since C++26) |
Computes the saturating addition x + y. This operation (unlike built-in arithmetic operations on integers) behaves as-if it is a mathematical operation with an infinite range. Let _q_ denote the result of such operation. Returns:
_q_, if_q_is representable as a value of typeT. Otherwise,- the largest or smallest value of type
T, whichever is closer to the_q_.
This overload participates in overload resolution only if T is an integer type, that is: signed char, short, int, long, long long, an extended signed integer type, or an unsigned version of such types. In particular, T must not be (possibly cv-qualified) bool, char, wchar_t, char8_t, char16_t, and char32_t, as these types are not intended for arithmetic.
Contents
[edit] Parameters
[edit] Return value
Saturated x + y.
[edit] Notes
Unlike the built-in arithmetic operators on integers, the integral promotion does not apply to the x and y arguments.
If two arguments of different type are passed, the call fails to compile, i.e. the behavior relative to template argument deduction is the same as for std::min or std::max.
Most modern hardware architectures have efficient support for saturation arithmetic on SIMD vectors, including SSE2 for x86 and NEON for ARM.
| Feature-test macro | Value | Std | Feature |
|---|---|---|---|
| __cpp_lib_saturation_arithmetic | 202311L | (C++26) | Saturation arithmetic |
[edit] Possible implementation
See libstdc++ (gcc).
[edit] Example
Can be previewed on Compiler Explorer.
#include
#include
#include
static_assert(CHAR_BIT == 8);
static_assert(UCHAR_MAX == 255);
int main()
{
constexpr int a = std::add_sat(3, 4); // no saturation occurs, T = int
static_assert(a == 7);
constexpr unsigned char b = std::add_sat(UCHAR_MAX, 4); // saturated
static_assert(b == UCHAR_MAX);
constexpr unsigned char c = std::add_sat(UCHAR_MAX, 4); // not saturated, T = int
// add_sat(int, int) returns int tmp == 259,
// then assignment truncates 259 % 256 == 3
static_assert(c == 3);
// unsigned char d = std::add_sat(252, c); // Error: inconsistent deductions for T
constexpr unsigned char e = std::add_sat(251, a); // saturated
static_assert(e == UCHAR_MAX);
// 251 is of type T = unsigned char, a is converted to unsigned char value;
// might yield an int -> unsigned char conversion warning for a
constexpr signed char f = std::add_sat(-123, -3); // not saturated
static_assert(f == -126);
constexpr signed char g = std::add_sat(-123, -13); // saturated
static_assert(g == std::numeric_limits::min()); // g == -128
}
[edit] See also
| sub_sat(C++26) | saturating subtraction operation on two integers (function template) [edit] |
|---|---|
| mul_sat(C++26) | saturating multiplication operation on two integers (function template) [edit] |
| div_sat(C++26) | saturating division operation on two integers (function template) [edit] |
| saturate_cast(C++26) | returns an integer value clamped to the range of another integer type (function template) [edit] |
| clamp(C++17) | clamps a value between a pair of boundary values (function template) [edit] |
| in_range(C++20) | checks if an integer value is in the range of a given integer type (function template) [edit] |
| min[static] | returns the smallest finite value of the given non-floating-point type, or the smallest positive normal value of the given floating-point type (public static member function of std::numeric_limits) [edit] |
| max[static] | returns the largest finite value of the given type (public static member function of std::numeric_limits) [edit] |