Resume Modals Auxiliaries

It explained by Betty Schrampfer Azar in her book which tittled UNDERSTANDING AND USING ENGLISH GRAMMAR SECOND EDITION. And this resume that I make is use that book as my source book.

AUXILIARIES	USES	PRESENT / FUTURE	PAST
May	Polite request	May I leave this class?
	Formal permission	You may leave this class.
	Less than 50% certainly	She may be at the canteen.	He may have been at the canteen.
Might	Less than 50% certainly	She might be at the canteen.	He might have been at the canteen.
	Polite request (rare)	Might I leave this class?
Should	Advisability	I should buy this one.
	90% certainty	She should go to campus now. (future only)	She should have gone to campus.
Ought to	Advisability	I ought to buy this one.
	90% certainty	She ought to go to campus now.	She ought to have gone to campus.
Had better	Advisability with threat of bad result	You had better be on time, or we will leave without you.
Be supposed to	Expectation	Cinema is supposed to open at 9.	Cinema was supposed to open at 9.
Be to	Strong expectation	She is to be here at 9.	She was to be here at 9.
Must	Strong necessary	I must go office today.	I had to go to office yesterday.
	Prohibition (negative)	I must not turn off the lamp.
	95% certainty	She must be sick. (present only)	She must have been sick yesterday.
Have to	Necessary	I have to go to office.	I had to go to office.
	Lack of necessary (negative)	I don’t have to go to office.	I didn’t have to go to office.
Have got to	Necessary (informal)	I have got to go to office.	I had to go to office yesterday.
Will	100% certainty	She will be at office by ten. (future only)
	Willingness	(phone ringing) I’ll get it.
	Polite request	Will you please buy that book?
Be going  to	100% certainty	She is going to be here at 9. (future only)
	Definite plan	I am going to eat. (future only)	I was going to eat, but I didn’t have any food in my kitchen.
Can	Ability/possibility	I can drive motorcycle.
	Informal permission	You can use my phone.
	Informal polite request	Can I ask you something?
	Impossibility (negative only)	She can’t be here at 6.	She can’t have been here at 6 last night.
Could	Past ability		I could climb the tree when I was child.
	Polite request	Could I buy your book?
	Suggestion	You could ask to your teacher.
	99% certainty	She couldn’t swim. (present negative only)
	Less than 50% certainty	She could be sick.	She could have been sick.
	Impossibility	I couldn’t be you.	I couldn’t have been you.
Be able to	Ability	I am able to do it. I will able to do it.	I was able to do it.
Would	Polite request	Would you mind if I turned off the lamp?
	Preference	I would rather go to my bed than go outside.	I would rather have gone to my bed.
	Repeated action in the past		When I was child, I would visit the zoo every month.
Used to	Repeated action in the past		I used to climb that tree.
Shall	Polite request to make a suggestion	Shall I read your book?
	Future with ‘I’ or ‘we’ as subject	I shall leave at ten. (Will = more common)