message: [lookup][runtime] specify
diff: @@ -282,10 +282,10 @@ where
  //~ 1. If using lookup:
  if let Some(lcs) = &index.cs.lookup_constraint_system {
  - // if using runtime table
  + //~~ - if using runtime table:
  if let Some(cfg_runtime_tables) = &lcs.runtime_tables {
  - // check that all the provided runtime tables have length and IDs that match the runtime table configuration of the index
  - // we expect the given runtime tables to be sorted as configured, this makes it easier afterwards
  + //~~~ - check that all the provided runtime tables have length and IDs that match the runtime table configuration of the index
  + //~~~ we expect the given runtime tables to be sorted as configured, this makes it easier afterwards
  let expected_runtime: Vec<_> = cfg_runtime_tables
  .iter()
  .map(|rt| (rt.id, rt.len))
  @@ -298,8 +298,8 @@ where
  return Err(ProverError::RuntimeTablesInconsistent);
  }
  - // calculate the contribution to the second column of the lookup table
  - // (the runtime vector)
  + //~~~ - calculate the contribution to the second column of the lookup table
  + //~~~ (the runtime vector)
  let (runtime_table_contribution, runtime_table_contribution_d8) = {
  let mut offset = lcs
  .runtime_table_offset
  @@ -1135,9 +1135,9 @@ where
  .collect::<Vec<_>>(),
  );
  - // if using lookup
  + //~ 1. if using lookup:
  if let Some(lcs) = &index.cs.lookup_constraint_system {
  - // add the sorted polynomials
  + //~~ - add the lookup sorted polynomials
  let sorted_poly = lookup_context.sorted_coeffs.as_ref().unwrap();
  let sorted_comms = lookup_context.sorted_comms.as_ref().unwrap();
  @@ -1145,12 +1145,12 @@ where
  polynomials.push((poly, None, comm.blinders.clone()));
  }
  - // add the aggreg polynomial
  + //~~ - add the lookup aggreg polynomial
  let aggreg_poly = lookup_context.aggreg_coeffs.as_ref().unwrap();
  let aggreg_comm = lookup_context.aggreg_comm.as_ref().unwrap();
  polynomials.push((aggreg_poly, None, aggreg_comm.blinders.clone()));
  - // add the combined table polynomial
  + //~~ - add the combined table polynomial
  let table_blinding = if lcs.runtime_selector.is_some() {
  let runtime_comm = lookup_context.runtime_table_comm.as_ref().unwrap();
  let joint_combiner = lookup_context.joint_combiner.as_ref().unwrap();
  @@ -1169,7 +1169,7 @@ where
  polynomials.push((joint_lookup_table, None, table_blinding));
  - // add the runtime table polynomial
  + //~~ - if present, add the runtime table polynomial
  if lcs.runtime_selector.is_some() {
  let runtime_table_comm = lookup_context.runtime_table_comm.as_ref().unwrap();
  let runtime_table = lookup_context.runtime_table.as_ref().unwrap();
  