On Sunday, June 29, 2003, at 05:02 AM, curry wrote:
The input could be gun location, bullet speed, target location, target direction, and target speed. The output could be bullet direction or collision point.
Here is an alternate approach that doesn't take all that preliminary math and has no trig.
At the collision point the ratio of the distances to the original target location and the gun location should the the same as the ration of their speeds.
Step out along the path of the target several times and see if you find a point in which the ratio is within some tolerance of the speed ratio. If there is one, the enemy has a place to shoot at.
The distance between two points is the square root of the sum of the delta x and the delta y. Since this is approximate (I assume misses are OK sometimes) then, rather than calculating the square root over and over, you can just square the speed rations and compare to that, maybe, I think, YMMD.
Dar Scott
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