📄 ch4_1.java
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class ch4_1{
static double Lagrange(double[] x,double [] y,double x0,int m){
double L=0.0;
double []a=new double[m];
for(int k=0;k<m;k++)a[k]=0.0;
for(int i=0;i<m;i++){
a[i]=y[i];
for(int j=0;j<m;j++){
if(j==i)continue;
a[i]*=(x0-x[j])/(x[i]-x[j]);
}
L+=a[i];
}
return L;
}
public static void main(String [] args){
int m=3;
double [] x1={-3.0,-1.0,1.0};
double [] y1={1.0,1.5,2.0};
double [] x2={-1.0,1.0,2.0};
double [] y2={1.5,2.0,2.0};
double [] x3={1.0,2.0,3.0};
double [] y3={2.0,2.0,1.0};
double x10=-2.0;
double x20=0.0;
double x30=2.75;
System.out.println("x1="+x10+" y1="+Lagrange(x1,y1,x10,m));
System.out.println("x2="+x20+" y2="+Lagrange(x2,y2,x20,m));
System.out.println("x3="+x30+" y3="+Lagrange(x3,y3,x30,m));
}
}
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