I think a book on dressage would be a better choice. And, it really isn't the "movements" that horses are tested, in a large degree. It's more the quality of the way they move. For example, in the rock bottom test, up several levels, there are movements that consist solely of a 20 meter circle at trot. But, it's the quality of the trot that is being modified and "tested". So, from the intro level "working trot" , which has the hrose with it's head more out in front, to the Medium trot, which is more on the bit/connected and then trot work while "chewing the bit and stretching downward" and then eventually collected trots and more. All are on a 20 meter circle, but each is testing further development of the horse in his gymnastic ability to maintain his balance while on a bend and working neatly forward.
There are just a gazillion books on dressage. This will be really helpful.