I'm looking for a new idea for something I need to do. I typically create a path on a domain [-5,5] as follows, a arbitrary. Then I randomly reflect the path about and axis, a line, or maybe rotate it. The result is that parts of the path may lie outside a bounding window.

% define linear function f
vardef f(expr x)=

% define paths for functions f, g, and h, respectively
path P;

for x=-5 step .1 until 5:

% initialize scale
numeric u; 10u=w;

% scale and draw graph
P:=P scaled u;
draw P withcolor blue;

% clipping path
path cpath;
cpath:=cpath scaled 1u;

% clip and save current picture
picture pic;
clip currentpicture to cpath;

% erase currentpicture

Then I do some stuff I need to do and bring back the path at a later time with:

draw pic;

This works fine. However, what I need to do is somehow clip the path P to the bounding box, but retain the resulting cutpath in a path variable Q. That is, I need to cut off the parts of the path P that lie outside the bounding box cpath:=(-5,-5)--(5,-5)--(5,5)--(-5,5)--cycle and store the clipped path in the path variable Q. The difficulty is I have no advance knowledge if the path P lies entirely inside the bounding box or if it escapes through one of the sides.

Any hints, tips, etc., would be very appreciated.


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