/*算法总结 二分查找法: 二分查找法的前提是数据已经排序,时间平均复杂度为 O(lgn) 欢迎转载,转载请注明作者 openxmpp@163.com*/#include <iostream>#include <stdio.h>using namespace std;#include <vector>using std::vector;#include <algorithm>/** * @brief binarySearch 二分查找 * @param array 排序后的数组 * @param value 待查找的参数 * @return true on success ,false on failure */template<typename T>bool binarySearch(vector<T> &array,T value){ int low = 0; int high = array.size () -1; while ( low <= high ) { int middle = ( low + high ) /2; if ( array[middle] == value ) { return true; } else if ( array[middle] > value ) { high = middle - 1; } else if ( array[middle] < value ) { low = middle + 1; } } return false;}void unitTest(){ vector<int> vec; for ( int i = 0 ; i < 100 ; i += 2 ) { vec.push_back (i); } bool result = binarySearch<int>(vec,29); cout << "search result for [29] " << result<<endl; result = binarySearch<int>(vec,16); cout << "search result for [16] " << result<<endl; vector<string> strVect; strVect.push_back ("world"); strVect.push_back ("hello"); strVect.push_back ("b"); strVect.push_back ("a"); strVect.push_back ("i love cpp"); sort(strVect.begin (),strVect.end ()); result = binarySearch<string>(strVect,"notfind"); cout << "search result for [notfind] " << result<<endl; result = binarySearch<string>(strVect,"world"); cout << "search result for [world] " << result<<endl;}int main(int argc, char *argv[]){ unitTest (); return 0;}
下面是递归的实现
#include <iostream>
using namespace std;
template<typename T>
int
bSearch( T array[], T value,int start,int end )
{
if ( start > end )
{
return -1;
}
int middle = (start + end)/2;
if ( array[middle] == value )
{
return middle;
}
else if ( array[middle] > value )
{
return bSearch(array,value,start,middle-1);
}
else if ( array[middle] < value )
{
return bSearch(array,value,middle+1,end);
}
}
int main(int argc, char *argv[])
{
int array[] = {1,2,3,4,5,6,7,8,10,12,32,45};
int index = bSearch(array,7,0,sizeof(array)/sizeof(array[0])-1);
cout << index << " " << array[index]<<endl;
index = bSearch(array,12,0,sizeof(array)/sizeof(array[0])-1);
cout << index << " " << array[index]<<endl;
return 0;
}