如何设置、清除和切换一点?
当前回答
将第n位设置为x(位值),不使用-1
有时,当您不确定-1或类似的结果时,您可能希望在不使用-1的情况下设置第n位:
number = (((number | (1 << n)) ^ (1 << n))) | (x << n);
解释:((number |(1<<n)将第n位设置为1(其中|表示逐位OR),然后使用(…)^(1<<n)将将第n个位设置为0,最后通过(…)|x<<n,将第n比特设置为0(位值)x。
这也适用于戈朗。
其他回答
如果你在做很多无聊的事情,你可能会想使用口罩,这会让整个事情变得更快。以下函数速度非常快,而且仍然灵活(它们允许在任何大小的位图中进行位旋转)。
const unsigned char TQuickByteMask[8] =
{
0x01, 0x02, 0x04, 0x08,
0x10, 0x20, 0x40, 0x80,
};
/** Set bit in any sized bit mask.
*
* @return none
*
* @param bit - Bit number.
* @param bitmap - Pointer to bitmap.
*/
void TSetBit( short bit, unsigned char *bitmap)
{
short n, x;
x = bit / 8; // Index to byte.
n = bit % 8; // Specific bit in byte.
bitmap[x] |= TQuickByteMask[n]; // Set bit.
}
/** Reset bit in any sized mask.
*
* @return None
*
* @param bit - Bit number.
* @param bitmap - Pointer to bitmap.
*/
void TResetBit( short bit, unsigned char *bitmap)
{
short n, x;
x = bit / 8; // Index to byte.
n = bit % 8; // Specific bit in byte.
bitmap[x] &= (~TQuickByteMask[n]); // Reset bit.
}
/** Toggle bit in any sized bit mask.
*
* @return none
*
* @param bit - Bit number.
* @param bitmap - Pointer to bitmap.
*/
void TToggleBit( short bit, unsigned char *bitmap)
{
short n, x;
x = bit / 8; // Index to byte.
n = bit % 8; // Specific bit in byte.
bitmap[x] ^= TQuickByteMask[n]; // Toggle bit.
}
/** Checks specified bit.
*
* @return 1 if bit set else 0.
*
* @param bit - Bit number.
* @param bitmap - Pointer to bitmap.
*/
short TIsBitSet( short bit, const unsigned char *bitmap)
{
short n, x;
x = bit / 8; // Index to byte.
n = bit % 8; // Specific bit in byte.
// Test bit (logigal AND).
if (bitmap[x] & TQuickByteMask[n])
return 1;
return 0;
}
/** Checks specified bit.
*
* @return 1 if bit reset else 0.
*
* @param bit - Bit number.
* @param bitmap - Pointer to bitmap.
*/
short TIsBitReset( short bit, const unsigned char *bitmap)
{
return TIsBitSet(bit, bitmap) ^ 1;
}
/** Count number of bits set in a bitmap.
*
* @return Number of bits set.
*
* @param bitmap - Pointer to bitmap.
* @param size - Bitmap size (in bits).
*
* @note Not very efficient in terms of execution speed. If you are doing
* some computationally intense stuff you may need a more complex
* implementation which would be faster (especially for big bitmaps).
* See (http://graphics.stanford.edu/~seander/bithacks.html).
*/
int TCountBits( const unsigned char *bitmap, int size)
{
int i, count = 0;
for (i=0; i<size; i++)
if (TIsBitSet(i, bitmap))
count++;
return count;
}
注意,要在16位整数中设置位“n”,请执行以下操作:
TSetBit( n, &my_int);
这取决于你确保比特数在你通过的位图范围内。请注意,对于字节、字、dword、qword等的小端处理器,它们在内存中正确地相互映射(小端处理器比大端处理器“更好”的主要原因,啊,我感觉到一场火焰大战即将到来…)。
对于初学者,我想用一个例子解释一下:
例子:
value is 0x55;
bitnum : 3rd.
使用&运算符检查位:
0101 0101
&
0000 1000
___________
0000 0000 (mean 0: False). It will work fine if the third bit is 1 (then the answer will be True)
切换或翻转:
0101 0101
^
0000 1000
___________
0101 1101 (Flip the third bit without affecting other bits)
|运算符:设置位
0101 0101
|
0000 1000
___________
0101 1101 (set the third bit without affecting other bits)
int set_nth_bit(int num, int n){
return (num | 1 << n);
}
int clear_nth_bit(int num, int n){
return (num & ~( 1 << n));
}
int toggle_nth_bit(int num, int n){
return num ^ (1 << n);
}
int check_nth_bit(int num, int n){
return num & (1 << n);
}
更一般地,对于任意大小的位图:
#define BITS 8
#define BIT_SET( p, n) (p[(n)/BITS] |= (0x80>>((n)%BITS)))
#define BIT_CLEAR(p, n) (p[(n)/BITS] &= ~(0x80>>((n)%BITS)))
#define BIT_ISSET(p, n) (p[(n)/BITS] & (0x80>>((n)%BITS)))
这是我最喜欢的位算术宏,它适用于从无符号字符到size_t的任何类型的无符号整数数组(这是应该有效使用的最大类型):
#define BITOP(a,b,op) \
((a)[(size_t)(b)/(8*sizeof *(a))] op ((size_t)1<<((size_t)(b)%(8*sizeof *(a)))))
要设置位:
BITOP(array, bit, |=);
要清除一点:
BITOP(array, bit, &=~);
要切换一位,请执行以下操作:
BITOP(array, bit, ^=);
要测试一点:
if (BITOP(array, bit, &)) ...
etc.