牛顿差分插值中的输出值错误

ax6ht2ek  于 2021-07-06  发布在  Java
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我有这个代码来计算牛顿的除法差分插值,但它是给我错误的值,这是什么错误的代码?

package divided.differnece;

import java.text.*;

import java.math.*;

import java.util.*;

public class DividedDiffernece {

    static float term(int i, float v, float x[]) { 
    float ter = 1; 
    for (int j = 0; j < i; j++) { 
        ter = ter * (v - x[j]); 
    } 
    return ter; 
} 

    static void divided_differences_table (float x[], float y[][], int n){
        for (int i = 1; i < n; i++) { 
        for (int j = 0; j < n - i; j++) { 
            y[j][i] = (y[j][i - 1] - y[j + 1] 
                        [i - 1]) / (x[j] - x[i + j]); 
        } 
    } 
    }

    static float Formula(float v, float x[], float y[][], int n) { 
    float sum = y[0][0]; 
    for (int i = 1; i < n; i++) {   
    sum = sum + (term(i, v, x) * y[0][i]); 
    } 
    return sum; 
} 

    static void print_divided_differences_table(float[] x, float[][] y, int n)  {
        DecimalFormat df = new DecimalFormat("#.####"); 
        df.setRoundingMode(RoundingMode.HALF_UP); 

        System.out.println("****************************************************Divided Difference Interpolation Table*******************************************************************");

        for (int i = 0; i < n; i++)
        {
            System.out.print(x[i]+"\t ");
            for (int j = 0; j < n - i; j++) 
            {

                String str1 = df.format(y[i][j]);
                System.out.print(str1+"\t ");
            }

            System.out.println("\n");
        }

    }
    public static void main(String[] args) {

        System.out.print("_______________________________ X Values ________________________________\n\n");
        Scanner Input = new Scanner(System.in);

        int n = 5;
        float P = 0  ;

        float y[][] = new float [10][10];
        float x[] = new float [n];

        for (int i = 0; i < n; i++)
        {
            int l= i+1;
            System.out.print("Enter x["+l+"]: ");
            x[i] = Input.nextFloat();

        }

         System.out.print("\n_______________________________ Y Values ________________________________\n\n");

        for (int i = 0; i < n; i++)
        {
            int l= i+1;
            System.out.print("Enter y["+l+"][0]: ");
            y[i][0] = Input.nextFloat();

        }
        System.out.print("\n_______________________________ The approxmiate F(x) ________________________________\n\n");

        System.out.print("Enter X for finding F(x): ");
         P = Input.nextFloat();

        divided_differences_table ( x,  y,  n);
        print_divided_differences_table(x, y, n);

            // print the value     
    DecimalFormat df = new DecimalFormat("#.##"); 
    df.setRoundingMode(RoundingMode.HALF_UP); 

    System.out.println("\nValue at "+df.format(P)+" is "
            +df.format(Formula(P, x, y, n))); 

    }

}

正确的输出应该是这样的:

但密码告诉我:

暂无答案!

目前还没有任何答案,快来回答吧!

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