《疯狂Java讲义》练习题- 第三章 画近似圆

其实这个问题并不难,但是很多年没有研究过几何了.问题卡在这里了,准确的说我根本没有学过圆的标准公式这部分内容,google了很多,重新划了坐标研究了公式..解方程...

虽然结果还不是很圆,但是方法应该是正确了.

主要是因为double取整后有一些偏差.

另外行数多少,半径大小也相互影响

 

import java.lang.Math;
public class FirstProject {
    public static void main(String[] args) {
        paint(40); //半径40
    }
    public static void paint(int r) {
     //假定圆心在坐标(r,r);
        int y = r * 2; //y的坐标开始
        int x = 0;
        int c = 0; //中间空格数量
        int z = 2; //每行递减量
        for (int j = r * 2; j >= 0; j=j-z) {
            x = getX(r, y);
            System.out.print(getSpace(x) + "*");
            c = (r-x)*2;
            System.out.println(getSpace(c) + "*");
            y-=z;
        }
    }
    public static int getX(int r, int y) {
        //解圆标准方程的
        int x = y - r;       
        double t = Math.sqrt((r * r) - (x * x));
        return (int) Math.round(r-t);
    }
    public static String getSpace(int i) {
        String s = "";
        for (int j = 0; j < i; j++) {
            s += " ";
        }
        return s;
    }
}

 

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