It's just a wrapper around `Target`, which signifies that the wrapped `Target` has already been range checked. Should make it easier to audit code that expects bools.
Very minor things:
- A few renames
- Instead of having two constructors call a third constructor, just have one constructor call the other.
- Invoke FFT with the option that specifies the inputs are mostly zero, as a (minor) optimization
- Remove unused field
* Add a reduce_polys_base
Reducing the polynomials in `open_plonk` was taking ~100ms on my machine. It was converting BF polynomials to the EF early on; by doing more work in the BF we can reduce it to ~20ms.
* PR feedback
We previously checked for special cases, like arithmetic on constant Targets, in `arithmetic`. We can handle those cases without actually adding an `ArithmeticGate`.
Now that `arithmetic` just calls `arithmetic_extension`, it makes more sense to check for special cases in the latter method, so it applies to both base and extension field arithmetic.
Reduces gate count from 16149 to 15689.
No functional changes here. The biggest change was moving certain files into new directories like `plonk` and `iop` (for things like `Challenger` that could be used in STARKs or other IOPs). I also split a few files, renames, etc, but again nothing functional, so I don't think a careful review is necessary (just a sanity check).
Using `serde_cbor` for now. It's probably far from optimal, as we have many `Vec`s which I assume it will prefix with their lengths, but it's a nice and easy method for now.
* Use built-in `reverse_bits`; remove duplicate `reverse_index_bits`.
* Reduce precomputation time/space complexity from quadratic to linear.
* Several working cache-friendly FFTs.
* Fix to allow FFT of constant polynomial.
* Simplify FFT strategy choice.
* Add PrimeField and CHARACTERISTIC properties to Fields.
* Add faster method for inverse of 2^m.
* Pre-compute some of the roots; tidy up loop iteration.
* Precomputation for both FFT variants.
* Refactor precomputation; add optional parameters; rename some things.
* Unrolled version with zero tail.
* Iterative version of Unrolled precomputation.
* Test zero tail algo.
* Restore default degree.
* Address comments from @dlubarov and @wborgeaud.
