NAME¶

std::bit_floor - std::bit_floor

Synopsis¶

Defined in header <bit>
template< class T > (since C++20)
constexpr T bit_floor( T x ) noexcept;

If x is not zero, calculates the largest integral power of two that is not greater
than x. If x is zero, returns zero.

This overload participates in overload resolution only if T is an unsigned integer
type (that is, unsigned char, unsigned short, unsigned int, unsigned long, unsigned
long long, or an extended unsigned integer type).

Parameters¶

x - unsigned integer value

Return value¶

Zero if x is zero; otherwise, the largest integral power of two that is not greater
than x.

Notes¶

Feature-test macro Value Std Feature
__cpp_lib_int_pow2 202002L (C++20) Integral power-of-2 operations

Possible implementation¶

template<std::unsigned_integral T>
requires !std::same_as<T, bool> && !std::same_as<T, char> &&
!std::same_as<T, char8_t> && !std::same_as<T, char16_t> &&
!std::same_as<T, char32_t> && !std::same_as<T, wchar_t>
constexpr T bit_floor(T x) noexcept
{
if (x != 0)
return T{1} << (std::bit_width(x) - 1);
return 0;
}

Example¶

// Run this code

#include <bit>
#include <bitset>
#include <iostream>

int main()
{
using bin = std::bitset<8>;

for (unsigned x = 0; x != 10; ++x)
{
auto const z = std::bit_floor(x); // `floor2` before P1956R1
std::cout << "bit_floor( " << bin(x) << " ) = " << bin(z) << '\n';
}
}

Output:¶

bit_floor( 00000000 ) = 00000000
bit_floor( 00000001 ) = 00000001
bit_floor( 00000010 ) = 00000010
bit_floor( 00000011 ) = 00000010
bit_floor( 00000100 ) = 00000100
bit_floor( 00000101 ) = 00000100
bit_floor( 00000110 ) = 00000100
bit_floor( 00000111 ) = 00000100
bit_floor( 00001000 ) = 00001000
bit_floor( 00001001 ) = 00001000

See also¶

bit_ceil finds the smallest integral power of two not less than the given
(C++20) value
(function template)
rotr computes the result of bitwise right-rotation
(C++20) (function template)
bit_width finds the smallest number of bits needed to represent the given value
(C++20) (function template)
has_single_bit checks if a number is an integral power of 2
(C++20) (function template)