When building a .NET library, what's your exception handling policy? In specific, what's your policy about handling exceptions inside library calls and exposing them to calling code?

• Would you treat a library function as any other, thus letting all exceptions it can't handle flow out of it as-is?
• Would you create a custom exception for that library?
• Would you catch all exceptions and throw the library's exception instead? Would you set the original exception as the library's exception internal exception?
• How would the library dependence on a DB affect your exception-handling policy?
• What other guidelines and rules would you suggest?