Measure similar distances with the string. Say from top of the head tube to the bottom bracket. If one side is shorter than the other, then it is bent. You may find that the bottom of the head tube gives an opposite result for a twist in the frame.
Pull the string taught along a tube. If the tube has a bow WRT string, which is real easy to see, then it is bent.
Sit the frame on its stays and use the ball as a plumb-line. Head tube and seat tube, if they're not vertical, then it is bent.
On tubes that are meant to be round, is the diameter the same in both front/back and side/side, especially you get such ovalised head tubes in crashed MTB.