用了兩種方式來實現,一種是遞歸,一種是迭代,至於二分法的原理,到處都是,我這裏只是爲了練練手而已。
/*
* return the index if success else return -1
* recursion
*/
int dichotomySearch1(int *a, int m, int n, int key)
{
int k = (m + n + 1)/2;
if(m == n)
{
if(a[k] != key)
{
return -1;
}
else
{
return m;
}
}
if(a[k] == key)
{
return k;
}
else if(a[k] < key)
{
return dichotomySearch1(a, k+1, n, key);
}
else if(a[k] > key)
{
return dichotomySearch1(a, m, k-1, key);
}
}
int dichotomySearch2(int *a, int m, int n, int key)
{
int k;
do
{
k = (m + n + 1)/2;
if(a[k] == key)
{
return k;
}
else if(a[k] < key)
{
m = k + 1;
}
else if(a[k] > key)
{
n = k - 1;
}
} while (m != n);
if(a[m] == key)
{
return m;
}
else
{
return -1;
}
}
void TestDichotomySearch()
{
int arr[] = {1, 3, 5, 7, 9, 11, 13, 15, 17};
int key = 2;
int k = -1;
k = dichotomySearch1(arr, 0, sizeof(arr)/sizeof(int) - 1, key);
printf("dichotomySearch1: k is %d\n", k);
k = dichotomySearch2(arr, 0, sizeof(arr)/sizeof(int) - 1, key);
printf("dichotomySearch2: k is %d\n", k);
}
int _tmain(int argc, _TCHAR* argv[])
{
TestDichotomySearch();
return 0;
}
要用可以直接用,代碼已經簡單測試過。