To math freaks: objects on border of irregular rectangle?

[roguetrooper 2]

I have a rectangle (trigger) with known position, length x, width y and angle z (not 0) and need a script that places objects on the border of that rectangle with a distance "d" (maybe 3 metres) to each other.

Could one of you imagine that to be possible?

Sure, I could place those objects manually in the editor, but according to variable settings that rectangle can have a variable position, x,y and angle.

PS. For placing objects on the border on a CIRCLE I have script, which works fine.

[Przemek_kondor 13]

First calculate positions of objects without rotating assuming that center of the rectangle is in [0,0]. Then for each position you have to multiply it by rotation matrix: http://en.wikipedia.org/wiki/Rotation_matrix

At the end add [finalRectanglePosX, finalRectanglePosY] to every position.

[twirly 11]

Try this mate.... this works with a marker. I'm sure you can figure it out from here.

//rotate it
_newx = 2 * ((_xdis * cos(_mkrdir)) - (_ydis * sin(_mkrdir)));
_newy = 2 * ((_xdis * sin(_mkrdir)) + (_ydis * cos(_mkrdir)));

//add it to center coords
_newx = (_mkrpos select 0) + (_newx);
_newy = (_mkrpos select 1) + (_newy);

[JacobJ 10]

Sounds very interesting, may I ask what it is needed for? Just curious..

[twirly 11]

The purpose is to rotate (x,y) points around an origin.

For instance if you had a marker and a bunch of (x,y) points in the area covered by the marker. Where would these points end up if you rotated the marker and the points by 20 degrees.

Can't explain much better than that. Google "geometric rotation".

[JacobJ 10]

Okay I see. Sounds like an advanced mission you are making.

[tacticalnuggets 24]

Have gotten use to doing this all the time, its basically called vector rotations. A position has a vector from the center of the object, and if the object is rotated, the position is rotated with the object. The vector has the same magnitude, just a different direction (a direction that obviously results from the degree rotation). So rotating the vector the degree amount is the same as rotating the entire object that degree amount. Then you can find out if its inside the borders or not just based on the height width values.

[igneous01 19]

matrices can be calculated using arma scripting?

[Przemek_kondor 13]

matrices can be calculated using arma scripting?

Maybe there is something in Function Module or you can use CBA: http://dev-heaven.net/docs/cba/files/vectors/fnc_vectRotate2D-sqf.html (not for matrix calculation but rotating itself)