フィボナッチ検索アルゴリズム

package org.structure.search;

import java.util.Arrays;

/**
 * 斐波那契数列查找
 * @author cjj_1
 * @date 2020-08-19 9:33
 */
public class FibonacciSerarch {
    
    
    public static void main(String[] args) {
    
    
        int[] arr = {
    
    1,34,57,89,90,100,101};
       int i = fibSearch(arr,101);
        System.out.println(i+"：是下标");
    }
    //返回一个fibnnacci数组
    public static int[] fib(int k){
    
    
       int f[] = new int[k];
       f[0] =1;
       f[1] = 1;
       for(int index =2;index < k;index++){
    
    
            f[index] = f[index-1]+f[index-2];
       }
       return f;
    }
    public static int fibSearch(int[] arr,int keyValue){
    
    
        int low = 0;
        int hight = arr.length-1;
        int k =0;
        int[] f = fib(20);
        //寻找对应的K
        while (hight>f[k]-1){
    
    
            k++;
        }
        //arr 数组的大小<f[k]时
        int[] temp = Arrays.copyOf(arr,f[k]);
        for(int index = hight+1;index < f[k];index++){
    
    
            temp[index]=arr[hight];
        }
        while (low<=hight){
    
    
           int mid = low+f[k-1]-1;
           if(keyValue<temp[mid]){
    
    
               hight = mid-1;
               k--;
           }else if(keyValue>temp[mid]){
    
    
               low = mid+1;
               k-=2;
           }else{
    
    
               return mid;
           }
        }

        return -1;
    }

}