椭圆生成算法

椭圆的定义：到两定点距离相等的所有的点的集合

椭圆的标准方程

(x-x1)*(x-x1)/rx*rx + (y-y1)*(y-y1)/ry*ry = 1;

第一种方法 椭圆标准方程生成算法

根据椭圆的标准方程可以推导出椭圆的参数方程，如下：

x = x1 + R1*Cosα

y = y1 + R2*Sinα

实例化代码：

#include <iostream>

#include <math.h>

#define PI 3.14

#define KEY 15

using namespace std;

struct Point{

int x;

int y;

};

void PointsEllipse(int x1,int y1,int r1,int r2){

Point point; //零时变量

int radian = 0;

while(radian<360){

if(radian == 0){

point.x = x1;

point.y = y1 + r1;

radian+=KEY;

printf("Point X:%d Y:%d/r/n",point.x,point.y);

continue;

}

else if(radian == 90){

point.x = x1 + r2;

point.y = y1;

radian+=KEY;

printf("Point X:%d Y:%d/r/n",point.x,point.y);

continue;

}

else if(radian == 180){

point.x = x1;

point.y = y1 - r1;

radian+=KEY;

printf("Point X:%d Y:%d/r/n",point.x,point.y);

continue;

}

else if(radian == 270){

point.x = x1 - r2;

point.y = y1;

printf("Point X:%d Y:%d/r/n",point.x,point.y);

radian+=KEY;

continue;

}

else{

point.x = x1 + (double)r2 * cos(((double)radian*PI)/180);

point.y = y1 + (double)r1 * sin(((double)radian*PI)/180);

printf("Point X:%d Y:%d/r/n",point.x,point.y);

radian+=KEY;

}

}

}

int main(){

PointsEllipse(0,0,5,10);

return 0;

}

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