为了实现sqrt(x),可以将问题看成是求解(x^2-y=0) ,即sqrt(y)=x;
牛顿法是求解方程的近似方法,给定初始点((x0,f(x0))),迭代公式为:
#include <iostream>
#include <math.h>
using namespace std;
class Solution {
public:
int sqrt(int x) {
double x0 = 1;
double y0 = 1 - x ;
double z = x0 - y0 / 2*x0;
while (abs(y0)>0.3 ){
y0 = x0*x0 - x;
z = x0 - y0/(2*x0);
x0 = z;
//cout << z << endl;
}
return int(x0);
}
};
int main()
{
Solution s;
cout << s.sqrt(2147395599);
}