Add typos tool to CI to automate typo detection (#76)

* Add typos to CI

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* missing typos

folding-schemes/src/folding/nova/circuits.rs

@@ -445,7 +445,7 @@ where
         (cf_u_i.cmE.is_zero()?).conditional_enforce_equal(&Boolean::TRUE, &is_not_basecase)?;
         (cf_u_i.u.is_one()?).conditional_enforce_equal(&Boolean::TRUE, &is_not_basecase)?;
 
-        // check the fold of all the parameteres of the CycleFold instances, where the elliptic
+        // check the fold of all the parameters of the CycleFold instances, where the elliptic
         // curve points relations are checked natively in Curve1 circuit (this one)
         let v = NIFSFullGadget::<C2, GC2>::verify(
             cf_r_bits,
@@ -572,7 +572,7 @@ pub mod tests {
         assert_eq!(hVar.value().unwrap(), h);
     }
 
-    // checks that the gadget and native implementations of the challenge computation matcbh
+    // checks that the gadget and native implementations of the challenge computation match
     #[test]
     fn test_challenge_gadget() {
         let mut rng = ark_std::test_rng();

folding-schemes/src/folding/nova/decider_eth.rs

@@ -50,7 +50,7 @@ where
     <C2 as Group>::ScalarField: Absorb,
     C1: CurveGroup<BaseField = C2::ScalarField, ScalarField = C2::BaseField>,
     for<'b> &'b GC2: GroupOpsBounds<'b, C2, GC2>,
-    // constrain FS into Nova, since this is a Decider specificly for Nova
+    // constrain FS into Nova, since this is a Decider specifically for Nova
     Nova<C1, GC1, C2, GC2, FC, CP1, CP2>: From<FS>,
 {
     type ProverParam = S::ProvingKey;

folding-schemes/src/folding/nova/mod.rs

@@ -491,11 +491,11 @@ where
         z_i: Vec<C1::ScalarField>, // last state
         num_steps: C1::ScalarField,
         running_instance: Self::CommittedInstanceWithWitness,
-        incomming_instance: Self::CommittedInstanceWithWitness,
+        incoming_instance: Self::CommittedInstanceWithWitness,
         cyclefold_instance: Self::CFCommittedInstanceWithWitness,
     ) -> Result<(), Error> {
         let (U_i, W_i) = running_instance;
-        let (u_i, w_i) = incomming_instance;
+        let (u_i, w_i) = incoming_instance;
         let (cf_U_i, cf_W_i) = cyclefold_instance;
 
         if u_i.x.len() != 1 || U_i.x.len() != 1 {

folding-schemes/src/folding/nova/nifs.rs

@@ -143,7 +143,7 @@ where
         // use r_T=1 since we don't need hiding property for cm(T)
         let w3 = NIFS::<C, CP>::fold_witness(r, w1, w2, T, C::ScalarField::one())?;
 
-        // fold committed instancs
+        // fold committed instances
         let ci3 = NIFS::<C, CP>::fold_committed_instance(r, ci1, ci2, &cmT);
 
         Ok((w3, ci3))
@@ -161,7 +161,7 @@ where
         NIFS::<C, CP>::fold_committed_instance(r, ci1, ci2, cmT)
     }
 
-    /// Verify commited folded instance (ci) relations. Notice that this method does not open the
+    /// Verify committed folded instance (ci) relations. Notice that this method does not open the
     /// commitments, but just checks that the given committed instances (ci1, ci2) when folded
     /// result in the folded committed instance (ci3) values.
     pub fn verify_folded_instance(
@@ -426,16 +426,16 @@ pub mod tests {
 
         let num_iters = 10;
         for i in 0..num_iters {
-            // prepare the incomming instance
-            let incomming_instance_z = get_test_z(i + 4);
-            let (w, x) = r1cs.split_z(&incomming_instance_z);
-            let incomming_instance_w = Witness::<Projective>::new(w.clone(), r1cs.A.n_rows);
-            let incomming_committed_instance = incomming_instance_w
+            // prepare the incoming instance
+            let incoming_instance_z = get_test_z(i + 4);
+            let (w, x) = r1cs.split_z(&incoming_instance_z);
+            let incoming_instance_w = Witness::<Projective>::new(w.clone(), r1cs.A.n_rows);
+            let incoming_committed_instance = incoming_instance_w
                 .commit::<Pedersen<Projective>>(&pedersen_params, x)
                 .unwrap();
             r1cs.check_relaxed_instance_relation(
-                &incomming_instance_w,
-                &incomming_committed_instance,
+                &incoming_instance_w,
+                &incoming_committed_instance,
             )
             .unwrap();
 
@@ -447,16 +447,16 @@ pub mod tests {
                 &r1cs,
                 &running_instance_w,
                 &running_committed_instance,
-                &incomming_instance_w,
-                &incomming_committed_instance,
+                &incoming_instance_w,
+                &incoming_committed_instance,
             )
             .unwrap();
             let (folded_w, _) = NIFS::<Projective, Pedersen<Projective>>::fold_instances(
                 r,
                 &running_instance_w,
                 &running_committed_instance,
-                &incomming_instance_w,
-                &incomming_committed_instance,
+                &incoming_instance_w,
+                &incoming_committed_instance,
                 &T,
                 cmT,
             )
@@ -466,7 +466,7 @@ pub mod tests {
             let folded_committed_instance = NIFS::<Projective, Pedersen<Projective>>::verify(
                 r,
                 &running_committed_instance,
-                &incomming_committed_instance,
+                &incoming_committed_instance,
                 &cmT,
             );