You can see clInfo for LDS and constant memory size.
Also refer to Chapter 4 OpenCL Programming guide for detailed description of L1 , L2 caches and Constant cache on GPUs.
Thanks for the suggestions. Sadly, I don't have a AMD 4000 series card, and the programming guide only states sizes of memories for the 5870 series, and seldom per compute unit, only per GPU.
I am not sure I am aware of all the parameters. Probably you can find them somewhere on net.
Are you interested in a particular GPU or the complete 4000 series?
A few links that might help: