P1024,我用牛迭,算出来三个实根相同,应该怎么解决(
#include<bits/stdc++.h>
using namespace std;
double xs[105];
double dxs[105];
int n;
double qpow(double x,int n){
double res=1.000;
while(n){
if(n&1)res*=x;
x*=x;
n>>=1;
}
return res;
}
double f(double x){
double res=0.000;
for(register int i=0;i<=n;i++)res=res+(double)(qpow(x,i)*(double)xs[i]);
return res;
}
double f_(double x){//f'(x)用f_(x)代替
double res=0.000;
for(register int i=0;i<=n-1;i++)res+=(double)(qpow(x,i)*(double)dxs[i]);
return res;
}
int main(){
n=3;//n是最高次数
for(register int i=n;i>=0;i--){
cin>>xs[i];
if(i!=0)dxs[i-1]=xs[i]*(double)i;//求导,注意任意常数导数为0
}
double x0=100.00;/*x0是初始近似解,可以调整*/
while(abs(f(x0))>1e-6){
double tmp=x0;
x0-=(f(tmp)/f_(tmp));//求近似解,控制精度误差
}
double x1=x0-1.0;
while(abs(f(x1))>1e-6){
double tmp=x1;
x1-=(f(tmp)/f_(tmp));//求近似解,控制精度误差
}
double x2=x1-1.0;
while(abs(f(x2))>1e-6){
double tmp=x2;
x2-=(f(tmp)/f_(tmp));
}
printf("%lf %lf %lf",x2,x1,x0);
}