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Yes you hit the nail on the head. You've got to calculate the length of each straight path segment and add them up.

Working out how much of a path is left to traverse is slightly trickier because the robot will probably not be 'exactly' on the path. Path progress can be found by calculating the closest point on the path to the robot's position. This is a bit more work but then allows you to accurately measure how far along the path your robot is.

Although the code to do this is more than a couple of lines you will have no problem at all calculating this in real time.

Hope this helps.