在二维空间中从点A到点B？ [英] Heading from Point A to Point B in 2D space?

问题描述

我正在研究一个项目，该项目要求我计算从0到360度范围内的变量点A到变量点B的标题，让点A上的对象面向点B。

现在，我不确定如何实现这一目标，但我没有找到任何好的解决方案。

如何计算在任何情况下从二维空间的点A到点B的标题？解决方案

在诸如C或C ++的语言中，你可能会使用 atan2 函数，该函数计算四个象限上y / x的反正切值，考虑x和y的符号。

如果A在（x1，y1）和B在（x2，y2），那么以弧度表示的标题由下式给出：

  theta_radians = atan2（y2  -  y1，x2  -  x1）; 
  

theta_radians 的范围是-π到+π。您可以将其转换为0到360之间的度数，如下所示：

  theta_degrees =（theta_radians + M_PI）* 360.0 /（ 2.0 * M_PI）; 
  

$ man atan2

I'm working on a project which requires me to calculate the heading from a variable point A to a variable point B in 0 - 360 degrees to let the object at point A face point B.

Now, I'm unsure on how to achieve this, I googled but didn't find any good solution.

How would I calculate the heading from point A to point B in 2D space in any situation?

解决方案

In a language such as C or C++ you might use the atan2 function, which calculates the arctangent of y/x over four quadrants, taking the signs of x and y into account.

If A is at (x1, y1) and B is at (x2, y2), then the heading in radians is given by:

theta_radians = atan2(y2 - y1, x2 - x1);

The range of theta_radians is -π to +π. You can convert this to degrees in the range 0 to 360 as follows:

theta_degrees = (theta_radians + M_PI) * 360.0 / (2.0 * M_PI);

$ man atan2

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