Enable hiding commitments in nova and hypernova (#129)

* feat: enable hiding commitments in nova and hypernova

* fix: set blinding values for witness vector

* fix: remove cloning of the cyclefold running instance

* fix: do not re-use blinding values between prove steps

* fix: specify whether the witness should use blinding values using a
const generic

* feat: create a `dummy` method for nova witnesses as well

* chore: clippy - removed unused imports

examples/circom_full_flow.rs

@@ -64,7 +64,8 @@ fn main() {
     let f_circuit_params = (r1cs_path, wasm_path, 1, 2);
     let f_circuit = CircomFCircuit::<Fr>::new(f_circuit_params).unwrap();
 
-    pub type N = Nova<G1, GVar, G2, GVar2, CircomFCircuit<Fr>, KZG<'static, Bn254>, Pedersen<G2>>;
+    pub type N =
+        Nova<G1, GVar, G2, GVar2, CircomFCircuit<Fr>, KZG<'static, Bn254>, Pedersen<G2>, false>;
     pub type D = DeciderEth<
         G1,
         GVar,

examples/external_inputs.rs

@@ -181,6 +181,7 @@ fn main() {
         ExternalInputsCircuit<Fr>,
         KZG<'static, Bn254>,
         Pedersen<Projective2>,
+        false,
     >;
 
     let mut rng = rand::rngs::OsRng;

examples/full_flow.rs

@@ -81,7 +81,8 @@ fn main() {
 
     let f_circuit = CubicFCircuit::<Fr>::new(()).unwrap();
 
-    pub type N = Nova<G1, GVar, G2, GVar2, CubicFCircuit<Fr>, KZG<'static, Bn254>, Pedersen<G2>>;
+    pub type N =
+        Nova<G1, GVar, G2, GVar2, CubicFCircuit<Fr>, KZG<'static, Bn254>, Pedersen<G2>, false>;
     pub type D = DeciderEth<
         G1,
         GVar,

examples/multi_inputs.rs

@@ -137,6 +137,7 @@ fn main() {
         MultiInputsFCircuit<Fr>,
         KZG<'static, Bn254>,
         Pedersen<Projective2>,
+        false,
     >;
 
     println!("Prepare Nova ProverParams & VerifierParams");

examples/sha256.rs

@@ -119,6 +119,7 @@ fn main() {
         Sha256FCircuit<Fr>,
         KZG<'static, Bn254>,
         Pedersen<Projective2>,
+        false,
     >;
 
     let poseidon_config = poseidon_canonical_config::<Fr>();