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std::add_sat(3) 	       C++ Standard Libary		 std::add_sat(3)

NAME
     std::add_sat - std::add_sat

Synopsis
	Defined in header <numeric>
	template< class T >			   (since C++26)
	constexpr T add_sat( T x, T y ) noexcept;

	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 type T. 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  inte-
     ger 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.

Parameters
	x, y - integer values

Return value
	Saturated x + y.

Exceptions
	Throws no exceptions.

Notes
	Unlike the built-in arithmetic operators on integers, the integral  pro-
     motion does
	not apply to the x and y arguments.

	If  two  arguments  of different type are passed, the call fails to com-
     pile, 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

Possible implementation
	See libstdc++ (gcc).

Example
	Can be previewed on Compiler Explorer.

     // Run this code

      #include <climits>
      #include <limits>
      #include <numeric>

      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<unsigned char>(UCHAR_MAX, 4);
     // saturated
	  static_assert(b == UCHAR_MAX);

	  constexpr  unsigned  char c = std::add_sat(UCHAR_MAX, 4); // not satu-
     rated, 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  deduc-
     tions for T

	  constexpr  unsigned  char  e = std::add_sat<unsigned char>(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<signed char>(-123, -3); // not
     saturated
	  static_assert(f == -126);

	  constexpr signed char g =  std::add_sat<signed  char>(-123,  -13);  //
     saturated
	  static_assert(g  ==  std::numeric_limits<signed char>::min()); // g ==
     -128
      }

See also
	sub_sat       saturating subtraction operation on two integers
	(C++26)       (function template)
	mul_sat       saturating multiplication operation on two integers
	(C++26)       (function template)
	div_sat       saturating division operation on two integers
	(C++26)       (function template)
	saturate_cast returns an integer value clamped to the range of a another
     integer
	(C++26)       type
		      (function template)
	clamp	      clamps a value between a pair of boundary values
	(C++17)       (function template)
	in_range      checks if an integer value is in the range of a given  in-
     teger type
	(C++20)       (function template)
	min	      returns the smallest finite value of the given type
	[static]      (public static member function of std::numeric_limits<T>)
	max	      returns the largest finite value of the given type
	[static]      (public static member function of std::numeric_limits<T>)

External links
	1.   A	branch-free  implementation of saturation arithmetic a Lockless-
     inc.com, 2012

http://cppreference.com 	   2024.06.10			 std::add_sat(3)

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