This is the commit that f3295e0f _should_ have been. Yesterday I just
added some typedefs so that I didn't have to wear out my fingers
typing 'struct' in new code, but what I ought to have done is to move
all the typedefs into defs.h with the rest, and then go through
cleaning up the legacy 'struct's all through the existing code.

But I was mostly trying to concentrate on getting the test suite
finished, so I just did the minimum. Now it's time to come back and do
it better.