[bit.count]

# 22 General utilities library [[utilities]](./#utilities)

## 22.11 Bit manipulation [[bit]](bit#count)

### 22.11.7 Counting [bit.count]

[1](#1)

[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/utilities.tex#L15920)

In the following descriptions,
let N denote numeric_limits<T>​::​digits[.](#1.sentence-1)

[🔗](#itemdecl:1)

`template<class T>
  constexpr int countl_zero(T x) noexcept;
`

[2](#2)

[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/utilities.tex#L15931)

*Constraints*: T is an unsigned integer type ([[basic.fundamental]](basic.fundamental "6.9.2 Fundamental types"))[.](#2.sentence-1)

[3](#3)

[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/utilities.tex#L15935)

*Returns*: The number of consecutive 0 bits in the value of x,
starting from the most significant bit[.](#3.sentence-1)

[*Note [1](#note-1)*:

Returns N if x == 0[.](#3.sentence-2)

— *end note*]

[🔗](#itemdecl:2)

`template<class T>
  constexpr int countl_one(T x) noexcept;
`

[4](#4)

[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/utilities.tex#L15951)

*Constraints*: T is an unsigned integer type ([[basic.fundamental]](basic.fundamental "6.9.2 Fundamental types"))[.](#4.sentence-1)

[5](#5)

[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/utilities.tex#L15955)

*Returns*: The number of consecutive 1 bits in the value of x,
starting from the most significant bit[.](#5.sentence-1)

[*Note [2](#note-2)*:

Returns N if x == numeric_limits<T>​::​max()[.](#5.sentence-2)

— *end note*]

[🔗](#itemdecl:3)

`template<class T>
  constexpr int countr_zero(T x) noexcept;
`

[6](#6)

[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/utilities.tex#L15971)

*Constraints*: T is an unsigned integer type ([[basic.fundamental]](basic.fundamental "6.9.2 Fundamental types"))[.](#6.sentence-1)

[7](#7)

[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/utilities.tex#L15975)

*Returns*: The number of consecutive 0 bits in the value of x,
starting from the least significant bit[.](#7.sentence-1)

[*Note [3](#note-3)*:

Returns N if x == 0[.](#7.sentence-2)

— *end note*]

[🔗](#itemdecl:4)

`template<class T>
  constexpr int countr_one(T x) noexcept;
`

[8](#8)

[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/utilities.tex#L15991)

*Constraints*: T is an unsigned integer type ([[basic.fundamental]](basic.fundamental "6.9.2 Fundamental types"))[.](#8.sentence-1)

[9](#9)

[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/utilities.tex#L15995)

*Returns*: The number of consecutive 1 bits in the value of x,
starting from the least significant bit[.](#9.sentence-1)

[*Note [4](#note-4)*:

Returns N if x == numeric_limits<T>​::​max()[.](#9.sentence-2)

— *end note*]

[🔗](#itemdecl:5)

`template<class T>
  constexpr int popcount(T x) noexcept;
`

[10](#10)

[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/utilities.tex#L16011)

*Constraints*: T is an unsigned integer type ([[basic.fundamental]](basic.fundamental "6.9.2 Fundamental types"))[.](#10.sentence-1)

[11](#11)

[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/utilities.tex#L16015)

*Returns*: The number of 1 bits in the value of x[.](#11.sentence-1)