modals

Hello!
I would like to know what is the future form of these modals?

  1. You may leave soon.- You will be allowed to leave soon.- permission.
  2. She can lend you that book. - She will be able to lend you that book.- request? ability?
  3. You may not smoke in this room. - future? You are forbidden to smoke in this room.
  4. Can you help me? Will you be able to help me?
  5. You mustn’t do this. - You will not have to do this.- lack of obligation.
  6. Can Jane type very quickly?- Will Jane be able to type very quickly?- ability.
  7. Must you be so rude? Will you have to be so rude? - what does it express?necessity?
    Thank you for your time!