ATAN2用于右手坐标系的音高

发布于 2025-01-27 13:46:42 字数 1323 浏览 1 评论 0原文

        public double GetPitchToFace(double Z2, double Z1, double X2, double X1)
    {            
        double Arc;
        Arc = Math.Atan2(Z2 - Z1, X2 - X1);
        Arc = (Arc >= 0) ? Arc+Math.PI : (2 * Math.PI + Arc);      
        return Arc;
    }

我正在尝试计算游戏中玩家的正确音高，以便面对和前往航路点。

可能值得注意的是，游戏坐标系统是右撇子。

我已经确认AtAN2正在接收正确的值，但返回值不正确。

尽管路点高于球员，但似乎仍在向下返回。有时它会返回看似正确的音高 - 我怀疑当点 /播放器移动象限时，这可能会有什么可做的？

（次要旁注 - 我是2 * Math.pi的原因，如果arc是＆gt; = 0只是游戏商店和管理玩家音调更多信息的方式，可以在此处找到更多信息： pitch-gingame ）

这是上述手动计算的一个示例：

Atan2(Z2 - Z1, X2 - X1)
Arc = Atan2(179.7 - 157.9, -3457.1-(-3432.1))
Arc = Atan2(21.7,-25.3)
Arc = 2.4 Radians
Arc = Arc + PI (without adding PI we return 137.51 degrees this is the opposite angle I need so I add PI to flip it to the correct side or add 180 degrees)
Arc = 5.5 Radians
Arc = 315,127 Degrees (this is a downwards trend from the point meaning we still miss the end point)

这是上述点的真正不好图

请记住，这些点是绘制的，例如x，z而不是x，y

原文

        public double GetPitchToFace(double Z2, double Z1, double X2, double X1)
    {            
        double Arc;
        Arc = Math.Atan2(Z2 - Z1, X2 - X1);
        Arc = (Arc >= 0) ? Arc+Math.PI : (2 * Math.PI + Arc);      
        return Arc;
    }

I am attempting to calculate the correct pitch of a player in-game in order to face and travel to a waypoint.

It might be worth noting that the games coordinate system is Right-Handed.

I've confirmed that ATan2 is receiving the correct values yet the return value is incorrect.

It seems to be returning a downward pitch despite the waypoint being above the player. Yet other times it returns the seemingly correct pitch - I suspect this might have something to do when the point / player shift quadrants ?

(Minor side note - the reason I am 2 * Math.PI if Arc is >= 0 is simply the way the game stores and manages player pitch more info can be found here :
Pitch-Ingame
)

Here is an example of the above manually calculated :

Atan2(Z2 - Z1, X2 - X1)
Arc = Atan2(179.7 - 157.9, -3457.1-(-3432.1))
Arc = Atan2(21.7,-25.3)
Arc = 2.4 Radians
Arc = Arc + PI (without adding PI we return 137.51 degrees this is the opposite angle I need so I add PI to flip it to the correct side or add 180 degrees)
Arc = 5.5 Radians
Arc = 315,127 Degrees (this is a downwards trend from the point meaning we still miss the end point)

Here is the really bad plot of the above points