Download the processing version you require since processing-2.0 you can choose either 64 bit or 32 bit, it makes sense to use a 64 bit version if that's the the flavor of your OS. Assuming are going for 64 bit version from a console in your home directory run the following commands:-
- tar xzvj processing-2.0b1-linux64.tgz
- cd processing-2.0b1
- bash -x processing
If perchance you downloaded to your Downloads, instead of home directory root, modify the first command to
- tar xzvj Downloads/processing-2.0b1-linux64.tgz
Command 3 is a diagnostic way of starting your processing ide up, for convenience just add a link to the processing script to the Fedora menu, or create a desktop launcher icon. You should be aware that the processing download includes the java runtime environment (it is in the folder java), so you don't need to worry about that to run processing. Only the 32bit java runtime is included with processing-1.5.1 so if that's what you've got then above applies.
To run 64 bit with processing-1.5.1 you need the 64 bit jdk from oracle (you replace the java folder with a symbolic link to your 64 bit jdk to run that, details available elsewhere in this forum).