ideas on "reversing" the process for deflate code?

JKF's code to "inflate" a compressed stream is at
http://opensource.franz.com/deflate/index.html
<http://opensource.franz.com/deflate/index.html> 

 

As John's notes indicate that:

We have written the code to uncompress deflated files, which we call
Inflation. The source is available on our open source web site at
http://opensource.franz.com/deflate/index.html
<http://opensource.franz.com/deflate/index.html> . We will be adding code to
show how to turn a simple-stream into a stream that inflates its input. At
this point in time we have no plans to implement compression of files using
the deflate algorithm.

 

My question:  

Can anyone offer pointers or helpful insight on how one might be able to use
the above-reference code to reverse the process and perform the original
compression?  We ultimately want to come through a list of specific files
and generate a compressed file (as if we had manually does it with a
"WinZip" utility).  

 

Thanks in advance.