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Showing content from https://en.cppreference.com/w/cpp/language/../algorithm/../numeric/mul_sat.html below:

std::mul_sat - cppreference.com

template< class T > constexpr T mul_sat( T x, T y ) noexcept;

(since C++26)

Computes the saturating multiplication x Ã 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 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.

[edit] Parameters [edit] Return value

Saturated x Ã 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.

[edit] Possible implementation

See libstdc++ (gcc).

[edit] Example

Can be previewed on Compiler Explorer.

#include <climits>
#include <numeric>
 
static_assert
(""
    && (std::mul_sat<int>(2, 3) == 6) // not saturated
    && (std::mul_sat<int>(INT_MAX / 2, 3) == INT_MAX) // saturated
    && (std::mul_sat<int>(-2, 3) == -6) // not saturated
    && (std::mul_sat<int>(INT_MIN / -2, -3) == INT_MIN) // saturated
    && (std::mul_sat<unsigned>(2, 3) == 6) // not saturated
    && (std::mul_sat<unsigned>(UINT_MAX / 2, 3) == UINT_MAX) // saturated
);
 
int main() {}

[edit] See also saturating addition operation on two integers
(function template) [edit] saturating subtraction operation on two integers
(function template) [edit] saturating division operation on two integers
(function template) [edit] returns an integer value clamped to the range of another integer type
(function template) [edit] clamps a value between a pair of boundary values
(function template) [edit] checks if an integer value is in the range of a given integer type
(function template) [edit] 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<T>) [edit] returns the largest finite value of the given type
(public static member function of std::numeric_limits<T>) [edit] [edit] External links

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