C#,数值计算——多项式插值与外推插值(Poly2D_interp)的计算方法与源程序

1 文本格式

using System;

namespace Legalsoft.Truffer

{

/// <summary>

/// Object for two-dimensional polynomial interpolation on a matrix.Construct

/// with a vector of x1 values, a vector of x2 values, a matrix of tabulated

/// function values yij , and integers to specify the number of points to use

/// locally in each direction. Then call interp for interpolated values.

/// </summary>

public class Poly2D_interp

{

private int m { get; set; }

private int n { get; set; }

private int mm { get; set; }

private int nn { get; set; }

private double[,] y { get; set; }

private double[] yv { get; set; }

private Poly_interp x1terp { get; set; } = null;

private Poly_interp x2terp { get; set; } = null;

public Poly2D_interp(double[] x1v, double[] x2v, double[,] ym, int mp, int np)

{

this.m = x1v.Length;

this.n = x2v.Length;

this.mm = mp;

this.nn = np;

this.y = ym;

this.yv = new double[m];

this.x1terp = new Poly_interp(x1v, yv, mm);

this.x2terp = new Poly_interp(x2v, x2v, nn);

}

public double interp(double x1p, double x2p)

{

int i = x1terp.cor > 0 ? x1terp.hunt(x1p) : x1terp.locate(x1p);

int j = x2terp.cor > 0 ? x2terp.hunt(x2p) : x2terp.locate(x2p);

for (int k = i; k < i + mm; k++)

{

// x2terp.yy = (y[k, 0]);

x2terp.yy = Globals.CopyFrom(k, y);

yv[k] = x2terp.rawinterp(j, x2p);

}

return x1terp.rawinterp(i, x1p);

}

}

}

2 代码格式

cs 复制代码
using System;

namespace Legalsoft.Truffer
{
    /// <summary>
    /// Object for two-dimensional polynomial interpolation on a matrix.Construct
    /// with a vector of x1 values, a vector of x2 values, a matrix of tabulated
    /// function values yij , and integers to specify the number of points to use
    /// locally in each direction. Then call interp for interpolated values.
    /// </summary>
    public class Poly2D_interp
    {
        private int m { get; set; }
        private int n { get; set; }
        private int mm { get; set; }
        private int nn { get; set; }
        private double[,] y { get; set; }
        private double[] yv { get; set; }
        private Poly_interp x1terp { get; set; } = null;
        private Poly_interp x2terp { get; set; } = null;

        public Poly2D_interp(double[] x1v, double[] x2v, double[,] ym, int mp, int np)
        {
            this.m = x1v.Length;
            this.n = x2v.Length;
            this.mm = mp;
            this.nn = np;
            this.y = ym;
            this.yv = new double[m];
            this.x1terp = new Poly_interp(x1v, yv, mm);
            this.x2terp = new Poly_interp(x2v, x2v, nn);
        }

        public double interp(double x1p, double x2p)
        {
            int i = x1terp.cor > 0 ? x1terp.hunt(x1p) : x1terp.locate(x1p);
            int j = x2terp.cor > 0 ? x2terp.hunt(x2p) : x2terp.locate(x2p);
            for (int k = i; k < i + mm; k++)
            {
                // x2terp.yy = (y[k, 0]);
                x2terp.yy = Globals.CopyFrom(k, y);
                yv[k] = x2terp.rawinterp(j, x2p);
            }
            return x1terp.rawinterp(i, x1p);
        }
    }
}
相关推荐
不语n1 小时前
快速排序(Quick Sort)详解与图解
数据结构·算法·排序算法·快速排序·双指针排序
电鱼智能的电小鱼1 小时前
基于电鱼 ARM 工控机的AI视频智能分析方案:让传统监控变得更聪明
网络·arm开发·人工智能·嵌入式硬件·算法·音视频
初学者,亦行者2 小时前
Rust性能优化:内存对齐与缓存友好实战
算法·rust
py有趣2 小时前
LeetCode算法学习之杨辉三角
学习·算法·leetcode
小白菜又菜2 小时前
Leetcode 3100. Water Bottles II
算法·leetcode·职场和发展
北诺南兮2 小时前
大模型算法面试笔记——多头潜在注意力(MLA)
笔记·深度学习·算法
微知语2 小时前
悬垂引用的攻防战:Rust 如何从根源杜绝内存访问灾难
开发语言·算法·rust
万能的小裴同学3 小时前
C++ 鸭科夫手柄适配
开发语言·c++·算法
得物技术3 小时前
RAG—Chunking策略实战|得物技术
数据库·人工智能·算法