javaFx--绘制正多边形

题目:

编程实现绘制正N边形,且可以指定正N边形的边数,边长,中心坐标

• RegularPolygon.java:

public class RegularPolygon {
    private int CenterX;
    private int CenterY;
    private int NumVerge;
    private double LenVerge;

    public int getCenterX() {
        return CenterX;
    }
    public void setCenterX(int centerX) {
        this.CenterX = centerX;
    }
    public int getCenterY() {
        return CenterY;
    }
    public void setCenterY(int centerY) {
        this.CenterY = centerY;
    }
    public int getNumVerge() {
        return NumVerge;
    }
    public void setNumVerge(int numVerge) {
        this.NumVerge = numVerge;
    }
    public double getLenVerge() {
        return LenVerge;
    }
    public void setLenVerge(int lenVerge) {
        this.LenVerge = lenVerge;
    }
    /**
     * 正N边形的面积计算公式:S=0.5sin(2π/N)NR^2
     * 其中R为外接圆半径,若边长为L
     * 则sin(π/N)=L/2R
     * 经过推导得S=NL^2cot(π/N)/4
     */
    public double getArea() {//计算面积
        return this.NumVerge*Math.pow(LenVerge, 2)*Math.atan(Math.PI/(double)this.NumVerge)/4;
    }
    public double getPerimeter() {//计算周长
        return this.LenVerge*this.NumVerge;
    }

}

• Main.java:

import java.util.Scanner;
import javafx.application.Application;
import javafx.collections.ObservableList;
import javafx.scene.Scene;
import javafx.scene.layout.Pane;
import javafx.scene.paint.Color;
import javafx.scene.shape.Polygon;
import javafx.stage.Stage;

public class Main extends Application{
    public static RegularPolygon input() {
        System.out.println("请输入正n边形边数和边长:");
        Scanner input=new Scanner(System.in);
        int n=input.nextInt();
        int len=input.nextInt();
        System.out.println("请输入正n边形中心坐标:");
        int centerx=input.nextInt();
        int centery=input.nextInt();
        RegularPolygon g=new RegularPolygon();
        g.setCenterX(centerx);
        g.setCenterY(centery);
        g.setLenVerge(len);
        g.setNumVerge(n);
        System.out.println("面积:"+g.getArea());
        System.out.println("周长:"+g.getPerimeter());
        return g;
    }
    @Override
    public void start(Stage primaryStage)  {

        RegularPolygon g=input();

        Pane pane=new Pane();
        Polygon polygon=new Polygon();
        pane.getChildren().add(polygon);
        polygon.setFill(Color.PINK);
        ObservableList list= polygon.getPoints();

        double centerX=g.getCenterX(),centerY=g.getCenterY();
        double R=0.5*g.getLenVerge()/Math.sin(Math.PI/g.getNumVerge());

        for(int i=0;i
            list.add(centerX+R*Math.cos(Math.PI/2+i*2*Math.PI/g.getNumVerge()));
            list.add(centerY+R*Math.sin(Math.PI/2+i*2*Math.PI/g.getNumVerge()));
        }
        Scene scene=new Scene(pane,600,600);
        primaryStage.setTitle("正n边形");
        primaryStage.setScene(scene);
        primaryStage.show();
    }

    public static void main(String [] args) {
        Application.launch(args);
    }
}