我有一个字节数组。现在我需要知道长度为N的位模式的出现次数。
例如,我的字节数组是“00100100 10010010”,模式是“001”。这里N = 3,计数为5。
处理比特总是我的弱点。
答案 0 :(得分:7)
你总是可以对前N位进行异或,如果你得到0,你就得到一个匹配。然后将搜索到的位“流”向左移一位并重复。假设您希望在这些子模式重叠时获得匹配。否则你应该在匹配时按模式长度移动。
答案 1 :(得分:1)
如果N可能是任意大的,您可以将位模式存储在矢量
中vector<unsigned char> pattern;
矢量的大小应为
(N + 7) / 8
将图案存储在右侧。通过这个,我的意思是,例如,如果N == 19,你的矢量应该是这样的:
|<- v[0] ->|<- v[1] ->|<- v[2] ->|
0 0 0 0 0 0 1 1 0 0 0 1 0 0 1 0 0 1 0 0 1 0 0 1
| |<- pattern ->|
如果您的图案最初向左移动,您可以使用我将在下面显示的功能,将位移到右侧。
定义与模式长度相同的字节向量,以存储比特流的一部分,以便将其与模式进行比较。我称之为window
vector<unsigned char> window;
如果N不是8的整数倍,则在将window
与模式进行比较时,需要屏蔽unsigned char mask = (1 << (N % 8)) - 1;
中最左边的位。您可以这样定义蒙版:
window
现在,假设window
包含位,它应该,理论上可以使用向量的运算符==将此模式与window[0] &= mask;
bool isMatch = (window == pattern);
进行比较
vector<int> shifts;
但是有充分的理由让自己变得更加复杂。如果N很大并且你的字节数组,你在寻找模式,是非常大的,值得的,处理模式并构建一个大小为N + 1的向量:
window
此向量将存储信息,移位比特流的位数,以便进行下一次比较,基于当前0001001100
不匹配的位置。
考虑模式window
。您应该从右到左比较位window
。如果在第一位有一个不匹配,你知道它是1并且你的模式中第一次出现1位于从右到左的位置2计数形式0。那么在这种情况下,你知道,如果从比特流转移到window
的新比特数小于2,那么进行比较是没有意义的。同样,如果不匹配发生在第三个位(位置2计数形式为0),window
应移动7,因为模式中的3个连续零位于末尾。如果不匹配位于第4位,您可以将sifts
移动8,依此类推。索引i
处的window
向量将保留位数,如果位置i
处发生不匹配,则会移动window
。如果匹配,shifts[N]
应移动window
中存储的位数。在上面的示例中,匹配表示移位8。
当然,在实践中,您将模式中的整个字节与来自if(window[i] != pattern[i])
{
int j = 0;
unsigned char mismatches = window[i] ^ pattern[i];
while((mismatches & 1) == 0)
{
mismatches >>= 1;
++j;
}
mismatch_position = 8 * (window.size() - i - 1) + j;
}
的字节(从右到左)进行比较,如果存在不匹配,则检查字节中的位以查找不匹配位置
window
当您需要将某些位从您的位流转移到unsigned char
时,这个函数可能会派上用场。我用C#编写它,但转换为C ++应该是微不足道的。 C#需要一些强制转换,这在C ++中可能不是必需的。使用byte
代替vector<unsigned char> &
,byte []
代替size()
,Length
代替public static void shiftBitsIntoWindow_MSbFirst(byte[] window, byte[] source,
int startBitPosition, int numberOfBits)
{
int nob = numberOfBits / 8;
// number of full bytes from the source
int ntsh = numberOfBits % 8;
// number of bits, by which to shift the left part of the window,
// in the case, when numberOfBits is not an integer multiple of 8
int nfstbb = (8 - startBitPosition % 8);
// number Of bits from the start to the first byte boundary
// The value is from the range [1, 8], which comes handy,
// when checking if the substring of ntsh first bits
// crosses the byte boundary in the source, by evaluating
// the expression ntsh <= nfstbb.
int nfbbte = (startBitPosition + numberOfBits) % 8;
// number of bits from the last byte boundary to the end
int sbtci;
// index of the first byte in the source, from which to start
// copying nob bytes from the source
// The way in which the (sbtci) index is calculated depends on,
// whether nob < window.Length
if(nob < window.Length)// part of the window will be replaced
// with bits from the source, but some part will remain in the
// window, only moved to the beginning and possibly shifted
{
sbtci = (startBitPosition + ntsh) / 8;
//Loop below moves bits form the end of the window to the front
//making room for new bits that will come form the source
// In the corner case, when the number by which to shift (ntsh)
// is zero the expression (window[i + nob + 1] >> (8 - ntsh)) is
// zero and the loop just moves whole bytes
for(int i = 0; i < window.Length - nob - 1; ++i)
{
window[i] = (byte)((window[i + nob] << ntsh)
| (window[i + nob + 1] >> (8 - ntsh)));
}
// At this point, the left part of the window contains all the
// bytes that could be constructed solely from the bytes
// contained in the right part of the window. Next byte in the
// window may contain bits from up to 3 different bytes. One byte
// form the right edge of the window and one or two bytes form
// the source. If the substring of ntsh first bits crosses the
// byte boundary in the source it's two.
int si = startBitPosition / 8; // index of the byte in the source
// where the bit stream starts
byte byteSecondPart; // Temporary variable to store the bits,
// that come from the source, to combine them later with the bits
// form the right edge of the window
int mask = (1 << ntsh) - 1;
// the mask of the form 0 0 1 1 1 1 1 1
// |<- ntsh ->|
if(ntsh <= nfstbb)// the substring of ntsh first bits
// doesn't cross the byte boundary in the source
{
byteSecondPart = (byte)((source[si] >> (nfstbb - ntsh)) & mask);
}
else// the substring of ntsh first bits crosses the byte boundary
// in the source
{
byteSecondPart = (byte)(((source[si] << (ntsh - nfstbb))
| (source[si + 1] >> (8 - ntsh + nfstbb))) & mask);
}
// The bits that go into one byte, but come form two sources
// -the right edge of the window and the source, are combined below
window[window.Length - nob - 1] = (byte)((window[window.Length - 1] << ntsh)
| byteSecondPart);
// At this point nob whole bytes in the window need to be filled
// with remaining bits form the source. It's done by a common loop
// for both cases (nob < window.Length) and (nob >= window.Length)
}
else// !(nob < window.Length) - all bits of the window will be replaced
// with the bits from the source. In this case, only the appropriate
// variables are set and the copying is done by the loop common for both
// cases
{
sbtci = (startBitPosition + numberOfBits) / 8 - window.Length;
nob = window.Length;
}
if(nfbbte > 0)// The bit substring coppied into one byte in the
// window crosses byte boundary in the source, so it has to be
// combined form the bits, commming form two consecutive bytes
// in the source
{
for(int i = 0; i < nob; ++i)
{
window[window.Length - nob + i] = (byte)((source[sbtci + i] << nfbbte)
| (source[sbtci + 1 + i] >> (8 - nfbbte)));
}
}
else// The bit substring coppied into one byte in the window
// doesn't cross byte boundary in the source, so whole bytes
// are simply coppied
{
for(int i = 0; i < nob; ++i)
{
window[window.Length - nob + i] = source[sbtci + i];
}
}
}
,可能会进行一些小调整。该函数可能比您的场景中需要的更通用,因为它不使用事实,连续调用检索您的字节数组的连续块,这可能会使它更简单,但我不认为它伤害。在当前形式中,它可以从字节数组中检索任意位子串。
{{1}}
答案 2 :(得分:0)
假设您的数组符合unsigned int:
int main () {
unsigned int curnum;
unsigned int num = 0x2492;
unsigned int pattern = 0x1;
unsigned int i;
unsigned int mask = 0;
unsigned int n = 3;
unsigned int count = 0;
for (i = 0; i < n; i++) {
mask |= 1 << i;
}
for (i = 8 * sizeof(num) - n; i >= 0; i--) {
curnum = (num >> i) & mask;
if (! (curnum ^ pattern)) {
count++;
}
}
}
答案 3 :(得分:0)
将您的字节数组转换为std::vector<bool>
,然后调用std::search(source.begin(), source.end(), pattern.begin(), pattern.end());
。尽管vector<bool>
具有{{1}}特质,但这仍然有效。