Daniel Lubarov c126641c5d
Split into crates (#406)
* Split into crates

I kept other changes to a minimum, so 95% of this is just moving things. One complication that came up is that since `PrimeField` is now outside the plonky2 crate, these two impls now conflict:
```
impl<F: PrimeField> From<HashOut<F>> for Vec<u8> { ... }
impl<F: PrimeField> From<HashOut<F>> for Vec<F> { ... }
```
with this note:
```
note: upstream crates may add a new impl of trait `plonky2_field::field_types::PrimeField` for type `u8` in future versions
```
I worked around this by adding a `GenericHashOut` trait with methods like `to_bytes()` instead of overloading `From`/`Into`. Personally I prefer the explicitness anyway.

* Move out permutation network stuff also

* Fix imports

* Fix import

* Also move out insertion

* Comment

* fmt

* PR feedback
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plonky2

plonky2 is an implementation of recursive arguments based on Plonk and FRI. It uses FRI to check systems of polynomial constraints, similar to the DEEP-ALI method described in the DEEP-FRI paper. It is the successor of plonky, which was based on Plonk and Halo.

plonky2 is largely focused on recursion performance. We use custom gates to mitigate the bottlenecks of FRI verification, such as hashing and interpolation. We also encode witness data in a ~64 bit field, so field operations take just a few cycles. To achieve 128-bit security, we repeat certain checks, and run certain parts of the argument in an extension field.

Running

To see recursion performance, one can run this test, which generates a chain of three recursion proofs:

RUST_LOG=debug RUSTFLAGS=-Ctarget-cpu=native cargo test --release test_recursive_recursive_verifier -- --ignored

Disclaimer

This code has not been thoroughly reviewed or tested, and should not be used in any production systems.

Description
the Plonky2 proof system
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