台球技巧

 

台球是很常见的一种休闲方式。但是玩好它并不是那么容易的，于是，自己搞了个代码模拟了一下。简单研究其内在规律。

 

package basic.overrr;

public class TableBallCalculator {

	/**
	 * 

	 */
	public static void main(String[] args) {
		// TODO Auto-generated method stub
		
		double a = 5.0;
		double c = 10.0;
		double b = Math.log10(c*c)/Math.log10(a*a);
		b = Math.pow(100-25, 0.5);
		b = b-1;
		System.out.println("b= :"+b);
		System.out.println("sin 1/2 :"+Math.sin(30 * Math.PI/180));
		
		System.out.println("b= :"+Math.atan(b/5) *180.0 / Math.PI);
		
		TableBallCalculator t = new TableBallCalculator();
		System.out.println("mainas :"+t.getAngles(8, 10, 0, 0));
		
	}
	
	double a;// 假设已知
	double b;// 假设已知
	double c;// 假设未知
	double d;// 假设未知
	double _a;//角度alpha，以度记，非弧度。假设已知	以_开头表示角度 
	double _b;//角度beta		。假设已知
	double _c;//角度西格玛------求出西格玛，然后返回90-西格玛 即为所求！
	
	/**
	 * 
	 * 思路，先求c、后d，最后 _c ，返回 _b - (90 - _c)
	 * 
	 * b 应该永远大于等于1
	 */
	public double[] getAngles(double aa,double bb,double _aa,double _bb) {
		
		
		a = aa;
		b = bb;
		_a = _aa;
		_b = _bb;
		c = b * Math.cos(_b*Math.PI/180);
		_c = Math.atan(b * Math.sin(_b*Math.PI/180)/(c-1));
		_c = _c * 180.0 / Math.PI;
//		return 90-_c;
		
		double _a$ = Math.atan(0.5/a) * 180.0 / Math.PI;
		System.out.println("偏角 _a$ :"+_a$);
		
		double best = Math.atan(b * Math.sin(_b*Math.PI/180)/((b * Math.cos(_b*Math.PI/180))-1)) * 180.0 / Math.PI-_b;
		_b = _b -_a$;
		double min = Math.atan(b * Math.sin(_b*Math.PI/180)/((b * Math.cos(_b*Math.PI/180))-1)) * 180.0 / Math.PI-_b;
		_b = _b + 2*_a$;
		double max = Math.atan(b * Math.sin(_b*Math.PI/180)/((b * Math.cos(_b*Math.PI/180))-1)) * 180.0 / Math.PI-_b;

//		System.out.println("最小角 _a$ :"+min);

		System.out.println("最佳角 _a$ :"+best);

//		System.out.println("最大角 _a$ :"+max);
		
		return new double[]{min,best,max};
	}


}

 

 

 

 

实得分

package basic.overrr;

import java.awt.Color;
import java.awt.Container;
import java.awt.FlowLayout;
import java.awt.Font;
import java.awt.Graphics;
import java.awt.Image;
import java.awt.Panel;
import java.awt.Point;
import java.awt.Toolkit;

import javax.swing.JButton;
import javax.swing.JFrame;
import javax.swing.JPanel;

public class TableBallCanvas {

	public void init() {
		// TODO Auto-generated method stub
	}

	public static void main(String arg[]) {

		JFrame f = new JFrame("Paint");
		f.setSize(1500, 1500);
		f.setVisible(true);		
		MyPanel1 mp = new MyPanel1(); 
		f.add(mp); 
		f.setSize(1000,700); 
		f.setDefaultCloseOperation(JFrame.EXIT_ON_CLOSE); 
		f.setVisible(true);

	}

}


class MyPanel1 extends JPanel
{

	// 覆盖JPanel的paint方法

	public void paint(Graphics g) // Graphics是绘图的重要类，画笔类

	{// paint(Graphic g)绘制组件的外观，repaint()刷新组件的外观

		// 1.调用父类函数完成初始化

		// 这句话，不能少
		super.paint(g);
		g.drawLine(30, this.getHeight()-30, this.getWidth(), this.getHeight()-30);
		g.drawLine(30, 0, 30, this.getHeight()-30);
		g.drawString("O", 15,this.getHeight()-15);
		
		aa(g);
		
		for (int i = 0; i < this.getHeight()-30 ; i=i+50) {
			g.drawString(""+i/20, 8,this.getHeight()-30-i);
		}
		g.drawString("Y the distance B",this.getWidth(),this.getHeight()-15);
		
		goWithAngleB(g);
		
		
	}

	//angleB fixed to 45
	private void goWithDistinceB(Graphics g) {
		double step = 0.1;
		TableBallCalculator tcc = new TableBallCalculator();
		double aa = 5;
		double bb = 1;
		double _aa = 0;
		double _bb = 45;
		double[] angles = null;
		double oldX = 0;
		double oldY = 0;
		int multiply = 10;
		System.out.println("this.getHeight() : "+this.getHeight());
		// 以横坐标为角度， 纵坐标为 最佳偏角
		while (bb <= 20) {
			angles = tcc.getAngles(aa, bb, _aa, _bb);
			double best = angles[1];
			Point point = new Point((int)(_bb*multiply),(int)(best*multiply));
//			g.drawOval(point.x, point.y, 2, 2);
			g.drawLine((int)(oldX*multiply)+30,this.getHeight()-30-(int)(oldY*multiply),
					(int)(bb*multiply) +30,this.getHeight()-30-(int)(best*multiply));
			
			if((int)bb%5==0) {
			}
			
			g.drawLine((int)(oldX*multiply)+30,this.getHeight()-300-(int)(bb/best),
					(int)(bb*multiply) +30,this.getHeight()-300-(int)(bb/best));
			
			oldX = bb;
			oldY = best;
			bb  = bb +0.1;
			
//			System.out.println("(_bb/best):==" + (_bb/best));
		}
		for (int i = 1; i <= 20 ; i=i+2) {
			g.drawString(""+i,(int)(i*multiply)+30,this.getHeight()-15);
		}

		g.drawString("X the distance B",this.getWidth(),this.getHeight()-15);
	}


	private void goWithAngleB(Graphics g) {
		double step = 0.1;
		TableBallCalculator tcc = new TableBallCalculator();
		double aa = 5;
		double bb = 5;
		double _aa = 0;
		double _bb = 0;
		double[] angles = null;
		double oldX = 0;
		double oldY = 0;
		int multiply = 20;
		System.out.println("this.getHeight() : "+this.getHeight());
		// 以横坐标为角度， 纵坐标为 最佳偏角
		while (_bb <= 80) {
			angles = tcc.getAngles(aa, bb, _aa, _bb);
			double best = angles[1];
			Point point = new Point((int)(_bb*multiply),(int)(best*multiply));
//			g.drawOval(point.x, point.y, 2, 2);
			g.drawLine((int)(oldX*multiply)+30,this.getHeight()-30-(int)(oldY*multiply),
					(int)(_bb*multiply) +30,this.getHeight()-30-(int)(best*multiply));

			g.drawLine((int)(oldX*multiply)+30,this.getHeight()-30-(int)(_bb*180/best/Math.PI),
					(int)(_bb*multiply) +30,this.getHeight()-30-(int)((_bb*180/best/Math.PI)));
			
			oldX = _bb;
			oldY = best;
			_bb  = _bb +0.1;
			
			//System.out.println("(_bb/best):==" + (_bb/best));
		}
		for (int i = 1; i <= 80 ; i=i+2) {
			g.drawString(""+i,(int)(i*multiply)+30,this.getHeight()-15);
		}
		g.drawString("X the distance B",this.getWidth(),this.getHeight()-15);
	}
}

 

个人认为，台球是很有技术含量的一种活动，对体力的要求不大。 远不像足球篮球。当然，这样比较没意思。乒乓球也是很有技术含量的。各有千秋。

 

后面看了相关视频，觉得受益匪浅。

 

参考：http://www.wasu.cn/Play/show/id/535488

 

http://www.wasu.cn/Play/show/id/495596

 

 未完待续。。