插值算法-代码实现

1、

import java.util.HashMap;
import java.util.Map;public class Interpolation {public static void main(String[] args) {// 定义给定的 XML 字段值Map<String, double[]> xmlValues = new HashMap<>();xmlValues.put("faceSize", new double[]{1000, 1500});xmlValues.put("section1", new double[]{0.2, 0.3, 0.4});xmlValues.put("section2", new double[]{0.25, 0.35, 0.5});// 调用插值函数double interpolatedSection = interpolate(xmlValues, 1250);// 打印插值结果System.out.println("Interpolated section: " + interpolatedSection);}public static double interpolate(Map<String, double[]> xmlValues, double targetFaceSize) {// 获取 faceSize 数组double[] faceSizes = xmlValues.get("faceSize");// 获取 section1、section2 数组double[] section1 = xmlValues.get("section1");double[] section2 = xmlValues.get("section2");// 找到目标 faceSize 对应的索引int index1 = 0;int index2 = 1;// 执行线性插值double section1Interpolated = interpolateLinear(faceSizes[index1], section1[index1], faceSizes[index2], section1[index2], targetFaceSize);double section2Interpolated = interpolateLinear(faceSizes[index1], section2[index1], faceSizes[index2], section2[index2], targetFaceSize);// 计算 section 的平均值return (section1Interpolated + section2Interpolated) / 2;}// 线性插值函数public static double interpolateLinear(double x1, double y1, double x2, double y2, double x) {return y1 + (y2 - y1) * (x - x1) / (x2 - x1);}
}import java.util.HashMap;
import java.util.Map;public class Interpolation {public static void main(String[] args) {// 定义给定的 XML 字段值Map<String, double[]> xmlValues = new HashMap<>();xmlValues.put("faceSize", new double[]{1000, 1500});xmlValues.put("section1", new double[]{0.2, 0.3, 0.4});xmlValues.put("section2", new double[]{0.25, 0.35, 0.5});xmlValues.put("weight", new double[]{0, 0.5, 1});// 调用插值函数double[] interpolatedValues = interpolate(xmlValues, 1250);// 打印插值结果System.out.println("Interpolated section: " + interpolatedValues[0]);System.out.println("Interpolated weight: " + interpolatedValues[1]);}public static double[] interpolate(Map<String, double[]> xmlValues, double targetFaceSize) {// 获取 faceSize 数组double[] faceSizes = xmlValues.get("faceSize");// 获取 section1、section2 和 weight 数组double[] section1 = xmlValues.get("section1");double[] section2 = xmlValues.get("section2");double[] weight = xmlValues.get("weight");// 找到目标 faceSize 对应的两个索引int index1 = -1;int index2 = -1;for (int i = 0; i < faceSizes.length - 1; i++) {if (targetFaceSize >= faceSizes[i] && targetFaceSize <= faceSizes[i + 1]) {index1 = i;index2 = i + 1;break;}}// 执行线性插值double section1Interpolated = interpolateLinear(faceSizes[index1], section1[index1], faceSizes[index2], section1[index2], targetFaceSize);double section2Interpolated = interpolateLinear(faceSizes[index1], section2[index1], faceSizes[index2], section2[index2], targetFaceSize);double weightInterpolated = interpolateLinear(faceSizes[index1], weight[index1], faceSizes[index2], weight[index2], targetFaceSize);return new double[]{(section1Interpolated + section2Interpolated) / 2, weightInterpolated};}// 线性插值函数public static double interpolateLinear(double x1, double y1, double x2, double y2, double x) {return y1 + (y2 - y1) * (x - x1) / (x2 - x1);}
}

2、

#include <iostream>
#include <map>// 线性插值函数
double interpolateLinear(double x1, double y1, double x2, double y2, double x) {return y1 + (y2 - y1) * (x - x1) / (x2 - x1);
}// 插值函数
double interpolate(std::map<std::string, double*> xmlValues, double targetFaceSize) {// 获取 faceSize 数组double* faceSizes = xmlValues["faceSize"];// 获取 section1、section2 数组double* section1 = xmlValues["section1"];double* section2 = xmlValues["section2"];// 找到目标 faceSize 对应的索引int index1 = 0;int index2 = 1;// 执行线性插值double section1Interpolated = interpolateLinear(faceSizes[index1], section1[index1], faceSizes[index2], section1[index2], targetFaceSize);double section2Interpolated = interpolateLinear(faceSizes[index1], section2[index1], faceSizes[index2], section2[index2], targetFaceSize);// 计算 section 的平均值return (section1Interpolated + section2Interpolated) / 2;
}int main() {// 定义给定的 XML 字段值std::map<std::string, double*> xmlValues;double faceSizes[] = {1000, 1500};double section1[] = {0.2, 0.3, 0.4};double section2[] = {0.25, 0.35, 0.5};xmlValues["faceSize"] = faceSizes;xmlValues["section1"] = section1;xmlValues["section2"] = section2;// 调用插值函数double interpolatedSection = interpolate(xmlValues, 1250);// 打印插值结果std::cout << "Interpolated section: " << interpolatedSection << std::endl;return 0;
}