defer invert to be batched

Cargo.toml

@@ -21,6 +21,7 @@ num-bigint = "0.4"
 hex = "0.4"
 thiserror = "1.0"
 log = "0.4"
+env_logger = "0.9.0"
 
 [patch."https://github.com/privacy-scaling-explorations/halo2.git"]
 halo2_proofs = { git = "https://github.com/scroll-tech/halo2.git", branch = "develop" }
@@ -30,6 +31,7 @@ ethers-core = { git = "https://github.com/scroll-tech/ethers-rs.git", branch = "
 [features]
 # printout the layout of circuits for demo and some unittests
 print_layout = ["halo2_proofs/dev-graph"]
+default = ["halo2_proofs/mock-batch-inv", "halo2_proofs/parallel_syn"]
 
 [dev-dependencies]
 mpt-zktrie = { git = "https://github.com/scroll-tech/zkevm-circuits.git", rev = "7d9bc181953cfc6e7baf82ff0ce651281fd70a8a" }

src/constraint_builder/column.rs

@@ -1,4 +1,5 @@
 use super::{BinaryQuery, Query};
+use halo2_proofs::plonk::Assigned;
 use halo2_proofs::{
     arithmetic::FieldExt,
     circuit::{Region, Value},
@@ -101,6 +102,17 @@ impl AdviceColumn {
             )
             .expect("failed assign_advice");
     }
+
+    pub fn assign_rational<F: FieldExt>(
+        &self,
+        region: &mut Region<'_, F>,
+        offset: usize,
+        value: Assigned<F>,
+    ) {
+        region
+            .assign_advice(|| "advice", self.0, offset, || Value::known(value))
+            .expect("failed assign_advice");
+    }
 }
 
 #[derive(Clone, Copy)]

src/gadgets/is_zero.rs

@@ -1,4 +1,5 @@
 use crate::constraint_builder::{AdviceColumn, BinaryQuery, ConstraintBuilder, Query};
+use halo2_proofs::plonk::Assigned;
 use halo2_proofs::{arithmetic::FieldExt, circuit::Region, plonk::ConstraintSystem};
 use std::fmt::Debug;
 
@@ -25,10 +26,10 @@ impl IsZeroGadget {
     ) where
         <T as TryInto<F>>::Error: Debug,
     {
-        self.inverse_or_zero.assign(
+        self.inverse_or_zero.assign_rational(
             region,
             offset,
-            value.try_into().unwrap().invert().unwrap_or(F::zero()),
+            Assigned::<F>::from(value.try_into().unwrap()).invert(),
         );
     }
 

src/tests.rs

@@ -147,6 +147,7 @@ fn verifying_key_constant() {
 
 #[test]
 fn all_padding() {
+    env_logger::init();
     mock_prove(vec![]);
 }
 
@@ -816,6 +817,7 @@ fn empty_storage_type_1_update_c() {
 
 #[test]
 fn multiple_updates() {
+    env_logger::init();
     let witness = vec![
         (
             MPTProofType::StorageChanged,