1. Would rather:
- Present or future:
Same subject: I'd rather stay at home
Different subject: I'd rather you helped me
- Past:
Same subject: I'd rather have stayed at home
Different subject: I'd rather you had helped me
2. Gerund as the subject.
Having studied overseas has helped me a lot.
Drinking is bad for you
Studying is profitable
3. Inversion with conditionals
- First conditional
If you need my help:
Should you need my help, I will be in my office.
- Second conditional
If you won the lottery
Were you to win the lottery, you could help me.
- Third conditional
If I had won,
Had I won, I would be the best in my class