With this approach, we don't need `Target::PublicInput`; any routable `Target` can be marked as a public input via `register_public_input`. The circuit itself hashes these targets, and routes the hash output to the first four wires of a `PublicInputGate`, which is placed at an arbitrary location in the circuit.
All gates have direct access to the purported hash of public inputs. We could think of them as accessing `PI_hash_i(x)` (as in Plonk), but these are now (four) constant functions, so they effectively have direct access to the hash itself.
`PublicInputGate` checks that its first four wires match this purported public input hash. The other gates ignore the hash.
Resolves#64.
* Draw challenge points from the extension field
* Now building
* Misc
* Default eval_unfiltered_base
* fmt
* A few field settings
* Add to Sage
* Display tweak
* eval_filtered_base
* Quartic in bench
* Missing methods
* Fix tests
* PR feedback
Before it was storing leaf data and Merkle roots, but nothing in between, since it wasn't yet interacting with intermediate layers (but it will once we hook up the FRI code).
