实现以下目标最有效的算法是什么:
0010 0000 => 0000 0100
从MSB->LSB转换为LSB->MSB。所有位都必须反转;也就是说,这不是字节交换。
实现以下目标最有效的算法是什么:
0010 0000 => 0000 0100
从MSB->LSB转换为LSB->MSB。所有位都必须反转;也就是说,这不是字节交换。
当前回答
我的简单解决方案
BitReverse(IN)
OUT = 0x00;
R = 1; // Right mask ...0000.0001
L = 0; // Left mask 1000.0000...
L = ~0;
L = ~(i >> 1);
int size = sizeof(IN) * 4; // bit size
while(size--){
if(IN & L) OUT = OUT | R; // start from MSB 1000.xxxx
if(IN & R) OUT = OUT | L; // start from LSB xxxx.0001
L = L >> 1;
R = R << 1;
}
return OUT;
其他回答
另一个基于循环的解决方案,在数量较低时快速退出(在c++中用于多种类型)
template<class T>
T reverse_bits(T in) {
T bit = static_cast<T>(1) << (sizeof(T) * 8 - 1);
T out;
for (out = 0; bit && in; bit >>= 1, in >>= 1) {
if (in & 1) {
out |= bit;
}
}
return out;
}
或者C语言中unsigned int
unsigned int reverse_bits(unsigned int in) {
unsigned int bit = 1u << (sizeof(T) * 8 - 1);
unsigned int out;
for (out = 0; bit && in; bit >>= 1, in >>= 1) {
if (in & 1)
out |= bit;
}
return out;
}
您可能希望使用标准模板库。它可能比上面提到的代码慢。然而,在我看来,这似乎更清楚,更容易理解。
#include<bitset>
#include<iostream>
template<size_t N>
const std::bitset<N> reverse(const std::bitset<N>& ordered)
{
std::bitset<N> reversed;
for(size_t i = 0, j = N - 1; i < N; ++i, --j)
reversed[j] = ordered[i];
return reversed;
};
// test the function
int main()
{
unsigned long num;
const size_t N = sizeof(num)*8;
std::cin >> num;
std::cout << std::showbase << std::hex;
std::cout << "ordered = " << num << std::endl;
std::cout << "reversed = " << reverse<N>(num).to_ulong() << std::endl;
std::cout << "double_reversed = " << reverse<N>(reverse<N>(num)).to_ulong() << std::endl;
}
似乎许多其他帖子都关心速度(即最好=最快)。 简单性怎么样?考虑:
char ReverseBits(char character) {
char reversed_character = 0;
for (int i = 0; i < 8; i++) {
char ith_bit = (c >> i) & 1;
reversed_character |= (ith_bit << (sizeof(char) - 1 - i));
}
return reversed_character;
}
并希望聪明的编译器将为您优化。
如果你想反转一个更长的位列表(包含sizeof(char) * n位),你可以使用这个函数得到:
void ReverseNumber(char* number, int bit_count_in_number) {
int bytes_occupied = bit_count_in_number / sizeof(char);
// first reverse bytes
for (int i = 0; i <= (bytes_occupied / 2); i++) {
swap(long_number[i], long_number[n - i]);
}
// then reverse bits of each individual byte
for (int i = 0; i < bytes_occupied; i++) {
long_number[i] = ReverseBits(long_number[i]);
}
}
这将把[10000000,10101010]反向转换为[01010101,00000001]。
高效意味着吞吐量或延迟。
从头到尾,看看安德斯·塞德罗尼厄斯的回答,很好。
为了降低延迟,我推荐以下代码:
uint32_t reverseBits( uint32_t x )
{
#if defined(__arm__) || defined(__aarch64__)
__asm__( "rbit %0, %1" : "=r" ( x ) : "r" ( x ) );
return x;
#endif
// Flip pairwise
x = ( ( x & 0x55555555 ) << 1 ) | ( ( x & 0xAAAAAAAA ) >> 1 );
// Flip pairs
x = ( ( x & 0x33333333 ) << 2 ) | ( ( x & 0xCCCCCCCC ) >> 2 );
// Flip nibbles
x = ( ( x & 0x0F0F0F0F ) << 4 ) | ( ( x & 0xF0F0F0F0 ) >> 4 );
// Flip bytes. CPUs have an instruction for that, pretty fast one.
#ifdef _MSC_VER
return _byteswap_ulong( x );
#elif defined(__INTEL_COMPILER)
return (uint32_t)_bswap( (int)x );
#else
// Assuming gcc or clang
return __builtin_bswap32( x );
#endif
}
编译器输出:https://godbolt.org/z/5ehd89
// Purpose: to reverse bits in an unsigned short integer
// Input: an unsigned short integer whose bits are to be reversed
// Output: an unsigned short integer with the reversed bits of the input one
unsigned short ReverseBits( unsigned short a )
{
// declare and initialize number of bits in the unsigned short integer
const char num_bits = sizeof(a) * CHAR_BIT;
// declare and initialize bitset representation of integer a
bitset<num_bits> bitset_a(a);
// declare and initialize bitset representation of integer b (0000000000000000)
bitset<num_bits> bitset_b(0);
// declare and initialize bitset representation of mask (0000000000000001)
bitset<num_bits> mask(1);
for ( char i = 0; i < num_bits; ++i )
{
bitset_b = (bitset_b << 1) | bitset_a & mask;
bitset_a >>= 1;
}
return (unsigned short) bitset_b.to_ulong();
}
void PrintBits( unsigned short a )
{
// declare and initialize bitset representation of a
bitset<sizeof(a) * CHAR_BIT> bitset(a);
// print out bits
cout << bitset << endl;
}
// Testing the functionality of the code
int main ()
{
unsigned short a = 17, b;
cout << "Original: ";
PrintBits(a);
b = ReverseBits( a );
cout << "Reversed: ";
PrintBits(b);
}
// Output:
Original: 0000000000010001
Reversed: 1000100000000000