Creating a WADL and WSDL service in java?

So I have been tasked at work to create a WADL and a WSDL in java. I have a few questions I would love if you guys could answer. First a WSDL is an xml document that describes how a client requests information from a SOAP system. A WADL is an xml document that describes how a client request info from a REST system. First of all are both of those correct? If so what exactly do they do? I understand how SOAP and REST work normally with http, I am having trouble wrapping my head around what exactly the point of a WADL and a WSDL are, what they are for, and how I should go about creating one in java. Thanks!