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< cpp‎ | numeric

Numerics library
Common mathematical functions
Mathematical special functions (C++17)
Mathematical constants (C++20)
Floating-point environment (C++11)
Complex numbers
Numeric arrays
Pseudo-random number generation
Factor operations
(C++17)
(C++17)
Interpolations
(C++20)
(C++20)
Saturation arithmetic
 mul_sat(C++26) div_sat(C++26)
Generic numeric operations
 iota(C++11) ranges::iota(C++23) accumulate inner_product adjacent_difference partial_sum
 reduce(C++17) transform_reduce(C++17) inclusive_scan(C++17) exclusive_scan(C++17) transform_inclusive_scan(C++17) transform_exclusive_scan(C++17)
Bit operations
 has_single_bit(C++20) bit_cast(C++20) bit_ceil(C++20) bit_floor(C++20) bit_width(C++20) rotl(C++20) rotr(C++20)
 popcount(C++20) countl_zero(C++20) countl_one(C++20) countr_zero(C++20) countr_one(C++20) byteswap(C++23) endian(C++20)

 Defined in header  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 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.

## Contents

### Parameters

 x, y - integer values

Saturated x + y.

### Exceptions

Throws no exceptions.