Fix the incorrect `NonNativeAffineVar::inputize` implementation (#89)

* Fix the incorrect `NonNativeAffineVar::inputize` implementation

* Fmt and clippy

folding-schemes/src/folding/circuits/nonnative/affine.rs

@@ -1,5 +1,4 @@
 use ark_ec::{AffineRepr, CurveGroup};
-use ark_ff::PrimeField;
 use ark_r1cs_std::{
     alloc::{AllocVar, AllocationMode},
     fields::fp::FpVar,
@@ -95,20 +94,14 @@ where
     pub fn inputize(p: C) -> Result<(Vec<C::ScalarField>, Vec<C::ScalarField>), SynthesisError> {
         let affine = p.into_affine();
         if affine.is_zero() {
-            let x = NonNativeUintVar::inputize(
-                &(C::ScalarField::zero()).into(),
-                C::ScalarField::MODULUS_BIT_SIZE as usize,
-            );
-            let y = NonNativeUintVar::inputize(
-                &(C::ScalarField::zero()).into(),
-                C::ScalarField::MODULUS_BIT_SIZE as usize,
-            );
+            let x = NonNativeUintVar::inputize(C::BaseField::zero());
+            let y = NonNativeUintVar::inputize(C::BaseField::zero());
             return Ok((x, y));
         }
 
         let (x, y) = affine.xy().unwrap();
-        let x = NonNativeUintVar::inputize(&(*x).into(), C::ScalarField::MODULUS_BIT_SIZE as usize);
-        let y = NonNativeUintVar::inputize(&(*y).into(), C::ScalarField::MODULUS_BIT_SIZE as usize);
+        let x = NonNativeUintVar::inputize(*x);
+        let y = NonNativeUintVar::inputize(*y);
         Ok((x, y))
     }
 }

folding-schemes/src/folding/circuits/nonnative/uint.rs

@@ -256,10 +256,9 @@ impl AllocVar for NonNativeUintVar {
 }
 
 impl<F: PrimeField> NonNativeUintVar<F> {
-    pub fn inputize(x: &BigUint, l: usize) -> Vec<F> {
-        (0..l)
-            .map(|i| x.bit(i as u64))
-            .collect::<Vec<_>>()
+    pub fn inputize<T: PrimeField>(x: T) -> Vec<F> {
+        x.into_bigint()
+            .to_bits_le()
             .chunks(Self::bits_per_limb())
             .map(|chunk| F::from_bigint(F::BigInt::from_bits_le(chunk)).unwrap())
             .collect()