如何在四边形中找到随机点？

我必须能够为飞行模拟的航路点设置随机位置。数学挑战很简单：

“在四边形内找到一个随机位置，该点位于任何位置的机会均等。”

视觉上是这样的：

ABCD 四边形示例如下： 答：[21417.78 37105.97] 乙：[38197.32 24009.74] C：[1364.19 2455.54] d：[1227.77 37378.81]

预先感谢您可以提供的任何帮助。 :-)

编辑 感谢大家的回复。我将在周末查看此问题，然后授予已接受的答案。顺便说一句，我应该提到四边形可以是凸的或凹的。抱歉。

将四边形分成两个三角形，然后使用这个优秀的答案 https://stackoverflow.com/questions/240778/random-points-inside-a-parallelogram/240898#240898快速找到其中一个随机点。

Update:

借用这个伟大的link http://mathworld.wolfram.com/TrianglePointPicking.html from Akusete https://stackoverflow.com/questions/3058150/how-to-find-a-random-point-in-a-quadrangle/3058274#3058274在三角形中随机选取一个点。

_{(from MathWorld - A Wolfram Web Resource: wolfram.com http://mathworld.wolfram.com/images/eps-gif/TrianglePointPicking_700.gif)}

Given a triangle with one vertex at the origin and the others at positions v₁ and v₂, pick
_{(from MathWorld - A Wolfram Web Resource: wolfram.com http://mathworld.wolfram.com/images/equations/TrianglePointPicking/NumberedEquation2.gif)}
where A₁ and A₂ are uniform variates in the interval [0,1] , which gives points uniformly distributed in a quadrilateral (left figure). The points not in the triangle interior can then either be discarded, or transformed into the corresponding point inside the triangle (right figure).