将向量的位转换为十进制整数

时间:2014-04-28 22:09:03

标签: c++ vector decimal bits

我试图将向量的位转换为十进制整数。我的程序是一个可变线性反馈移位寄存器。首先,它询问用户LFSR的初始序列的长度,然后它要求序列本身和要被xored的位的位置。因此,如果我为序列的长度输入4,为比特序列输入1110,为多项式输入20,则键为0111100,它存储在向量keyReg中,我尝试使用for条件将其转换为十进制数:< / p>

for ( unsigned int i = 0; i < keyReg.size(); i++)
 {
  if (keyReg[i]==1)
   {
    key = key+(2^i);
    cout << key << "\n";
   }
 }

但是这并没有产生相当于0111100的正确小数。该怎么办? 这是完整的计划:

#include <iostream>  //Standard library.
#include <boost/dynamic_bitset.hpp>    //Library for 10 handling.
#include <vector>    //Variable size array.
#include <algorithm> //We use sorting from it.

using namespace std;

int main()
{
 int y = 0;
 int turnCount = 0;
 int count1 = 0, count0 = 0;
 int xx = 0;
 int polyLoc;
 int key = 0;
 boost::dynamic_bitset<> inpSeq(5);
 boost::dynamic_bitset<> operSeq(5);
 boost::dynamic_bitset<> bit(5);
 vector <int> xorArray;
 vector <int> keyReg;
 cout << "What is the legnth of the sequence?";
 cin >> xx;
 inpSeq.resize(xx);
 operSeq.resize(xx);
 bit.resize(xx);
 cout << "Enter a bit sequence: \n";
 cin >> inpSeq;
 int seq_end = inpSeq.size() - 1;
 cout << "Enter polynomial:";
 cin >> polyLoc;
 while(polyLoc>0)
 {
  xorArray.push_back(polyLoc%10);
  polyLoc/=10;
 }
 sort(xorArray.rbegin(), xorArray.rend());
 cout << "\n";
 operSeq = inpSeq;
 keyReg.push_back(inpSeq[0]);
  int x = xorArray[0];
  do {
  for (unsigned int r = 1; r < xorArray.size(); r++)
  {
  bit[seq_end] = operSeq[x];
  y = xorArray[r];
  bit[seq_end] = bit[seq_end] ^ operSeq[y];
  }
  operSeq >>= 1;
  operSeq[seq_end]  = bit[seq_end];
  keyReg.push_back(operSeq[0]);
  turnCount ++;
  cout << operSeq << "\n";
 }
 while ((operSeq != inpSeq) && (turnCount < 1024));
 cout << "Generated key is: ";
 for (unsigned int k = 0; k < keyReg.size(); k++)
  {
  cout  <<  keyReg[k];
  }
 cout << "\n";
 cout << "Bit 1 positions: ";
 for ( unsigned int g = 0; g < xorArray.size(); g++)
 {
  cout << xorArray[g];
 }
 cout << "\n";
 cout << "Key length is: " << keyReg.size();
 cout << "\n";
 for ( unsigned int i = 0; i < keyReg.size(); i++)
 {
  if (keyReg[i]==1)
   {
    count1++;
   }
  else {
    count0++;
  }
 }
 cout << "Number of 0's: " << count0 << "\n";
 cout << "Number of 1's: " << count1 << "\n";
 if ( keyReg.size()%2 ==0)
  {
   cout << "key length is even. \n";
   if (count1==count0)
    {
   cout << "Key is perfect! \n";
    }
  else {
   cout << "Key is not perfect! \n";
    }
 }
  else
   {
  cout << "key length is odd. \n";
   if  ((count1==count0+1) || (count0==count1+1))
    {
   cout << "Key is perfect! \n";
    }
  else {
   cout << "Key is not perfect! \n";
    }
   }
for ( unsigned int i = 0; i < keyReg.size(); i++)
 {
  if (keyReg[i]==1)
   {
    key = key+(2^i);
    cout << key << "\n";
   }
 }
cout << "Key is " << key << "\n"; 
cin.get();
}

1 个答案:

答案 0 :(得分:2)

我认为你的意思是:

for ( unsigned int i = 0; i < keyReg.size(); i++)
 {
  if (keyReg[i]==1)
   {
    key = key+(1 << i); // this is 2^i
    cout << key << "\n";
   }
 }

^bitwise operator for XOR,所以代码是&#34;有效&#34;从编译器的角度来看。

为什么会这样:

我无法找到相关问题,但是&#34; (1 << i)&#34;在其他地方解释过。 1被视为整数。然后整数上的​​operator<<是按位左移(i个位置)。

因此它会000001并将其向左移动,例如当i为3时,它会生成001000。有效地生成2^i整数。

当然可以使用更明确的内容,但是std::pow仅针对浮点类型定义,因此需要使用一些转换。

(1 << i)也引起了一些安全问题。您需要注意用于移位的值的类型(它们的大小)以及用于移位的值,写入(1<<128)可能会产生一些意想不到的结果。无论如何,对于IMO的大多数情况来说,这是获得2^i的最佳方式。