知道起点和终点坐标,用JAVA写一段圆弧插补程序
时间: 2023-05-23 10:06:06 浏览: 142
A:以下是一个简单的使用JAVA语言编写的圆弧插补程序,其中起点和终点坐标由变量给出,圆弧半径由用户输入:
```java
import java.util.Scanner;
public class CircleInterpolation {
public static void main(String[] args) {
//获取起点和终点坐标
double startX = 0.0, startY = 0.0, endX = 10.0, endY = 10.0;
//获取圆弧半径
Scanner radiusScanner = new Scanner(System.in);
System.out.print("请输入圆弧半径:");
double radius = radiusScanner.nextDouble();
//计算圆心坐标
double centerX = (startX + endX) / 2;
double centerY = (startY + endY) / 2;
//计算起点、终点与圆心的距离
double startToCenter = Math.sqrt(Math.pow((startX - centerX), 2) + Math.pow((startY - centerY), 2));
double endToCenter = Math.sqrt(Math.pow((endX - centerX), 2) + Math.pow((endY - centerY), 2));
//计算起点与终点之间的角度
double angle = Math.atan2((endY - startY), (endX - startX));
//计算圆弧起始角度和终止角度
double startAngle = angle + Math.PI / 2;
double endAngle = angle - Math.PI / 2;
//计算起点和终点处的切向量
double startTangentX = startX - centerX;
double startTangentY = startY - centerY;
double endTangentX = endX - centerX;
double endTangentY = endY - centerY;
//计算起点处弧的切向量
double startArcTangentX = -startTangentY;
double startArcTangentY = startTangentX;
//计算终点处弧的切向量
double endArcTangentX = -endTangentY;
double endArcTangentY = endTangentX;
//将切向量单位化
double startUnitTangentX = startTangentX / startToCenter;
double startUnitTangentY = startTangentY / startToCenter;
double endUnitTangentX = endTangentX / endToCenter;
double endUnitTangentY = endTangentY / endToCenter;
double startArcUnitTangentX = startArcTangentX / radius;
double startArcUnitTangentY = startArcTangentY / radius;
double endArcUnitTangentX = endArcTangentX / radius;
double endArcUnitTangentY = endArcTangentY / radius;
//计算起点处圆弧的控制点
double startControlX = centerX + radius * startUnitTangentX + radius * startArcUnitTangentX;
double startControlY = centerY + radius * startUnitTangentY + radius * startArcUnitTangentY;
//计算终点处圆弧的控制点
double endControlX = centerX + radius * endUnitTangentX + radius * endArcUnitTangentX;
double endControlY = centerY + radius * endUnitTangentY + radius * endArcUnitTangentY;
//输出插补程序
System.out.println("G01 X" + startX + " Y" + startY);
System.out.println("G03 X" + endX + " Y" + endY + " I" + (centerX - endControlX) + " J" + (centerY - endControlY) + " F100");
}
}
```
需要注意的是,此程序只适用于圆弧插补,如果需要插补一条直线,需要另行编写程序来实现。