如何在C中找到二维等边三角形的坐标? [英] How to find coordinates of a 2d equilateral triangle in C?

问题描述

我有 2 个点的坐标 (x,y).我想建立第三个点，使这三个点组成一个等边三角形.

I have the coordinates (x,y) of 2 points. I want to build the third point so that these 3 points make an equilateral triangle.

如何计算第三点?

谢谢

推荐答案

在阅读了帖子(特别是 vkit 的)后，我编写了这段简单的代码，它可以为一个方向解决问题(请记住，有两点).其他情况的修改应该是微不足道的.

After reading the posts (specially vkit's) I produced this simple piece of code which will do the trick for one direction (remember that there are two points). The modification for the other case shold be trivial.

#include<stdio.h>
#include<math.h>

typedef struct{
  double x;
  double y;
} Point;

Point vertex(Point p1, Point p2){
  double s60 = sin(60 * M_PI / 180.0);    
  double c60 = cos(60 * M_PI / 180.0);

  Point v = {
    c60 * (p1.x - p2.x) - s60 * (p1.y - p2.y) + p2.x,
    s60 * (p1.x - p2.x) + c60 * (p1.y - p2.y) + p2.y
  };

  return v;
}

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