Add serde proof serialization (#123)

* Bump commit.

* Bump commit.

* (WIP) Add serde support

* Minor fixes

* Use neptune const generics

* Use git patches

* Impl serde for CompressedSNARK

* Update dependencies, revert to typenum

* Formatting

* Update bellperson-nonnative patch

* Cleanup

* Remove bellperson-nonnative fork

* Switch back to fil_pasta_curves

* Update forked dependencies

* Cleanup

* Remove unnecessary patch

* Update to lurk-pasta-msm

---------

Co-authored-by: porcuquine <porcuquine@users.noreply.github.com>

src/lib.rs

@@ -35,12 +35,15 @@ use nifs::NIFS;
 use r1cs::{
   R1CSGens, R1CSInstance, R1CSShape, R1CSWitness, RelaxedR1CSInstance, RelaxedR1CSWitness,
 };
+use serde::{Deserialize, Serialize};
 use traits::{
   circuit::StepCircuit, snark::RelaxedR1CSSNARKTrait, AbsorbInROTrait, Group, ROConstants,
   ROConstantsCircuit, ROConstantsTrait, ROTrait,
 };
 
 /// A type that holds public parameters of Nova
+#[derive(Serialize, Deserialize)]
+#[serde(bound = "")]
 pub struct PublicParams<G1, G2, C1, C2>
 where
   G1: Group<Base = <G2 as Group>::Scalar>,
@@ -152,7 +155,8 @@ where
 }
 
 /// A SNARK that proves the correct execution of an incremental computation
-#[derive(Clone, Debug)]
+#[derive(Clone, Debug, Serialize, Deserialize)]
+#[serde(bound = "")]
 pub struct RecursiveSNARK<G1, G2, C1, C2>
 where
   G1: Group<Base = <G2 as Group>::Scalar>,
@@ -497,7 +501,8 @@ where
 }
 
 /// A SNARK that proves the knowledge of a valid `RecursiveSNARK`
-#[derive(Clone, Debug)]
+#[derive(Clone, Debug, Serialize, Deserialize)]
+#[serde(bound = "")]
 pub struct CompressedSNARK<G1, G2, C1, C2, S1, S2>
 where
   G1: Group<Base = <G2 as Group>::Scalar>,