Is 'to smoke' a complement or adjunct in this sentence?

I hope you are all well.

He stopped to smoke.

Is to smoke a complement of stop or is it an infinitive-of-purpose adjunct?


In a comment, John Lawler wrote:

To smoke is a purpose infinitive. Stop, unlike start, can take only gerund complements (He stopped smoking, he started smoking, he started to smoke), so any infinitive following it has to be an adjunct.