则斐波那契查找算法的代码实现如下所示:
//斐波那契查找算法
//以 arr = {1,8,10,89,1000,1234} 为例
public static int FiboSearch(int[] arr,int fidValue){
int low = 0;
int high = arr.length-1; // high = 5
int mid = 0;
int midValue = 0;
int k = 0;//菲波那切数列分割数值的下标
int[] f = FibonacciArray();//获取斐波那契数列 {1,1,2,3,5,8,13,21,34,55,89,...}
//根据条件获取斐波那契分割数值的下标
while (high > f[k]-1){ //high=5 f[k]=8 k=5
k++;
}
//扩充数组,用原数组的最后一个值进行填充
int[] temp = Arrays.copyOf(arr,f[k]); //temp = {1,8,10,89,1000,1234,0,0}
for(int i = high;i<temp.length;i++){
temp[i] = arr[high]; //temp = {1,8,10,89,1000,1234,1234,1234}
}
//查找数值fidValue
while (low <= high){
mid = low + f[k-1] - 1;//mid=0+5-1=4 mid=0+3-1=2 mid=3+1-1=3
midValue = temp[mid];// 1000 10 89
if(fidValue < midValue){ //向左查找
high = mid - 1;//high=3
k -= 1;//k=4
}else if(fidValue > midValue){ //向右查找
low = mid + 1; //low=3
k -= 2;//k=2
}else{
//进行判断,返回值小的 mid=3,high=3
if(mid < high){
return mid;
}else{
return high; //返回3
}
}
}
//没找到fidValue
return -1;
}