Generating a clientId for Custom Components

Question

I am creating a custom component that will be made up of smaller form elements and maybe even smaller custom components. Does JSF provide the mechanism for generating the clientId for each of these components and thier sub-components.
What I don't want to do is this:
writer.writeAttribute("name", clientId + "_id" + subComponentCounter++);
...

Answer 1

I got that part. But what if your component has sub-components. Do you just name them whatever you want? I know that you could. But what if they are dynamically generated? And what if your sub-components have sub-components.
So for example:
Custom Control: Shipping Form
|_Custom Control: Name Form
| |_TextBox: First Name
| |_TextBox: Last Name
|_Custom Control: Address Form
|_TextBox: Street
|_TextBox: City
|_TextBox: State
|_TextBox: Postal Code