diff --git a/halo2_gadgets/CHANGELOG.md b/halo2_gadgets/CHANGELOG.md
index 25b0d0402e..882415f65f 100644
--- a/halo2_gadgets/CHANGELOG.md
+++ b/halo2_gadgets/CHANGELOG.md
@@ -12,10 +12,16 @@ and this project adheres to Rust's notion of
   a shorthand for `LookupRangeCheck` specialized with `pallas::Base` and `sinsemilla::K`
 - `halo2_gadgets::utilities::lookup_range_check::PallasLookupRangeCheckConfig` which is
   a shorthand for `LookupRangeCheckConfig` specialized with `pallas::Base` and `sinsemilla::K`
+- `halo2_gadgets::ecc::Point::{mul_sign, new_from_constant}`
+- `halo2_gadgets::sinsemilla::CommitDomain::{blinding_factor, hash_with_private_init, q_init}`
+- `halo2_gadgets::utilities::cond_swap::CondSwapChip::{mux_on_points, mux_on_non_identity_points}`
 
 ### Changed
 - `halo2_gadgets::utilities::lookup_range_check::witness_short` now takes a generic `Lookup`
   instead of directly taking a `LookupRangeCheckConfig<F, K>` reference
+- `halo2_gadgets::sinsemilla::merkle::chip::MerkleConfig::cond_swap_config` is now public
+- `halo2_gadgets::sinsemilla::chip::SinsemillaChip::configure` has a new input
+  `allow_init_from_private_point` to enable the evaluation of Sinsemilla hash from a private point.
 
 ## [0.3.1] - 2024-12-16
 - `halo2_gadgets::poseidon::primitives` is now a re-export of the new `halo2_poseidon`
diff --git a/halo2_gadgets/src/ecc.rs b/halo2_gadgets/src/ecc.rs
index bcbcb526f1..326b6e4f5e 100644
--- a/halo2_gadgets/src/ecc.rs
+++ b/halo2_gadgets/src/ecc.rs
@@ -4,7 +4,7 @@ use std::fmt::Debug;
 
 use halo2_proofs::{
     arithmetic::CurveAffine,
-    circuit::{Chip, Layouter, Value},
+    circuit::{AssignedCell, Chip, Layouter, Value},
     plonk::Error,
 };
 
@@ -60,6 +60,15 @@ pub trait EccInstructions<C: CurveAffine>:
         value: Value<C>,
     ) -> Result<Self::Point, Error>;
 
+    /// Witnesses the given constant point as a private input to the circuit.
+    /// This allows the point to be the identity, mapped to (0, 0) in
+    /// affine coordinates.
+    fn witness_point_from_constant(
+        &self,
+        layouter: &mut impl Layouter<C::Base>,
+        value: C,
+    ) -> Result<Self::Point, Error>;
+
     /// Witnesses the given point as a private input to the circuit.
     /// This returns an error if the point is the identity.
     fn witness_point_non_id(
@@ -111,6 +120,15 @@ pub trait EccInstructions<C: CurveAffine>:
         b: &B,
     ) -> Result<Self::Point, Error>;
 
+    /// Performs variable-base sign-scalar multiplication, returning `[sign] point`.
+    /// This constrains `sign` to be in {-1, 1}.
+    fn mul_sign(
+        &self,
+        layouter: &mut impl Layouter<C::Base>,
+        sign: &AssignedCell<C::Base, C::Base>,
+        point: &Self::Point,
+    ) -> Result<Self::Point, Error>;
+
     /// Performs variable-base scalar multiplication, returning `[scalar] base`.
     fn mul(
         &self,
@@ -390,6 +408,17 @@ impl<C: CurveAffine, EccChip: EccInstructions<C> + Clone + Debug + Eq> Point<C,
         point.map(|inner| Point { chip, inner })
     }
 
+    /// Witnesses the given constant point as a private input to the circuit.
+    /// This allows the point to be the identity, mapped to (0, 0) in affine coordinates.
+    pub fn new_from_constant(
+        chip: EccChip,
+        mut layouter: impl Layouter<C::Base>,
+        value: C,
+    ) -> Result<Self, Error> {
+        let point = chip.witness_point_from_constant(&mut layouter, value);
+        point.map(|inner| Point { chip, inner })
+    }
+
     /// Constrains this point to be equal in value to another point.
     pub fn constrain_equal<Other: Into<Point<C, EccChip>> + Clone>(
         &self,
@@ -432,6 +461,21 @@ impl<C: CurveAffine, EccChip: EccInstructions<C> + Clone + Debug + Eq> Point<C,
                 inner,
             })
     }
+
+    /// Returns `[sign] self`.
+    /// This constrains `sign` to be in {-1, 1}.
+    pub fn mul_sign(
+        &self,
+        mut layouter: impl Layouter<C::Base>,
+        sign: &AssignedCell<C::Base, C::Base>,
+    ) -> Result<Point<C, EccChip>, Error> {
+        self.chip
+            .mul_sign(&mut layouter, sign, &self.inner)
+            .map(|point| Point {
+                chip: self.chip.clone(),
+                inner: point,
+            })
+    }
 }
 
 /// The affine short Weierstrass x-coordinate of a point on a specific elliptic curve.
@@ -598,7 +642,9 @@ pub(crate) mod tests {
     };
     use crate::{
         test_circuits::test_utils::test_against_stored_circuit,
-        utilities::lookup_range_check::{PallasLookupRangeCheck, PallasLookupRangeCheckConfig},
+        utilities::lookup_range_check::{
+            PallasLookupRangeCheck, PallasLookupRangeCheck4_5BConfig, PallasLookupRangeCheckConfig,
+        },
     };
 
     #[derive(Debug, Eq, PartialEq, Clone)]
@@ -727,12 +773,12 @@ pub(crate) mod tests {
         type Base = BaseField;
     }
 
-    struct MyCircuit<Lookup: PallasLookupRangeCheck> {
+    struct MyEccCircuit<Lookup: PallasLookupRangeCheck> {
         test_errors: bool,
         _lookup_marker: PhantomData<Lookup>,
     }
 
-    impl<Lookup: PallasLookupRangeCheck> MyCircuit<Lookup> {
+    impl<Lookup: PallasLookupRangeCheck> MyEccCircuit<Lookup> {
         fn new(test_errors: bool) -> Self {
             Self {
                 test_errors,
@@ -742,12 +788,12 @@ pub(crate) mod tests {
     }
 
     #[allow(non_snake_case)]
-    impl<Lookup: PallasLookupRangeCheck> Circuit<pallas::Base> for MyCircuit<Lookup> {
+    impl<Lookup: PallasLookupRangeCheck> Circuit<pallas::Base> for MyEccCircuit<Lookup> {
         type Config = EccConfig<TestFixedBases, Lookup>;
         type FloorPlanner = SimpleFloorPlanner;
 
         fn without_witnesses(&self) -> Self {
-            MyCircuit::new(false)
+            MyEccCircuit::new(false)
         }
 
         fn configure(meta: &mut ConstraintSystem<pallas::Base>) -> Self::Config {
@@ -796,7 +842,7 @@ pub(crate) mod tests {
 
             // Load 10-bit lookup table. In the Action circuit, this will be
             // provided by the Sinsemilla chip.
-            config.lookup_config.load(&mut layouter)?;
+            config.lookup_config.load_range_check_table(&mut layouter)?;
 
             // Generate a random non-identity point P
             let p_val = pallas::Point::random(rand::rngs::OsRng).to_affine(); // P
@@ -884,6 +930,14 @@ pub(crate) mod tests {
                 )?;
             }
 
+            // Test variable-base sign-scalar multiplication
+            {
+                super::chip::mul_fixed::short::tests::test_mul_sign(
+                    chip.clone(),
+                    layouter.namespace(|| "variable-base sign-scalar mul"),
+                )?;
+            }
+
             // Test full-width fixed-base scalar multiplication
             {
                 super::chip::mul_fixed::full_width::tests::test_mul_fixed(
@@ -915,14 +969,14 @@ pub(crate) mod tests {
     #[test]
     fn ecc_chip() {
         let k = 13;
-        let circuit = MyCircuit::<PallasLookupRangeCheckConfig>::new(true);
+        let circuit = MyEccCircuit::<PallasLookupRangeCheckConfig>::new(true);
         let prover = MockProver::run(k, &circuit, vec![]).unwrap();
         assert_eq!(prover.verify(), Ok(()))
     }
 
     #[test]
     fn test_ecc_chip_against_stored_circuit() {
-        let circuit = MyCircuit::<PallasLookupRangeCheckConfig>::new(false);
+        let circuit = MyEccCircuit::<PallasLookupRangeCheckConfig>::new(false);
         test_against_stored_circuit(circuit, "ecc_chip", 3872);
     }
 
@@ -935,7 +989,37 @@ pub(crate) mod tests {
         root.fill(&WHITE).unwrap();
         let root = root.titled("Ecc Chip Layout", ("sans-serif", 60)).unwrap();
 
-        let circuit = MyCircuit::<PallasLookupRangeCheckConfig>::new(false);
+        let circuit = MyEccCircuit::<PallasLookupRangeCheckConfig>::new(false);
+        halo2_proofs::dev::CircuitLayout::default()
+            .render(13, &circuit, &root)
+            .unwrap();
+    }
+
+    #[test]
+    fn ecc_chip_4_5b() {
+        let k = 13;
+        let circuit = MyEccCircuit::<PallasLookupRangeCheck4_5BConfig>::new(true);
+        let prover = MockProver::run(k, &circuit, vec![]).unwrap();
+
+        assert_eq!(prover.verify(), Ok(()))
+    }
+
+    #[test]
+    fn test_against_stored_ecc_chip_4_5b() {
+        let circuit = MyEccCircuit::<PallasLookupRangeCheck4_5BConfig>::new(false);
+        test_against_stored_circuit(circuit, "ecc_chip_4_5b", 3968);
+    }
+
+    #[cfg(feature = "test-dev-graph")]
+    #[test]
+    fn print_ecc_chip_4_5b() {
+        use plotters::prelude::*;
+
+        let root = BitMapBackend::new("ecc-chip-4_5b-layout.png", (1024, 7680)).into_drawing_area();
+        root.fill(&WHITE).unwrap();
+        let root = root.titled("Ecc Chip Layout", ("sans-serif", 60)).unwrap();
+
+        let circuit = MyEccCircuit::<PallasLookupRangeCheck4_5BConfig>::new(false);
         halo2_proofs::dev::CircuitLayout::default()
             .render(13, &circuit, &root)
             .unwrap();
diff --git a/halo2_gadgets/src/ecc/chip.rs b/halo2_gadgets/src/ecc/chip.rs
index 8f731fd859..469c19ebec 100644
--- a/halo2_gadgets/src/ecc/chip.rs
+++ b/halo2_gadgets/src/ecc/chip.rs
@@ -465,6 +465,21 @@ where
         )
     }
 
+    /// Witnesses the given constant point as a private input to the circuit.
+    /// This allows the point to be the identity, mapped to (0, 0) in
+    /// affine coordinates.
+    fn witness_point_from_constant(
+        &self,
+        layouter: &mut impl Layouter<pallas::Base>,
+        value: pallas::Affine,
+    ) -> Result<Self::Point, Error> {
+        let config = self.config().witness_point;
+        layouter.assign_region(
+            || "witness point (constant)",
+            |mut region| config.constant_point(value, 0, &mut region),
+        )
+    }
+
     fn witness_point_non_id(
         &self,
         layouter: &mut impl Layouter<pallas::Base>,
@@ -544,6 +559,24 @@ where
         )
     }
 
+    /// Performs variable-base sign-scalar multiplication, returning `[sign] point`.
+    /// This constrains `sign` to be in {-1, 1}.
+    fn mul_sign(
+        &self,
+        layouter: &mut impl Layouter<pallas::Base>,
+        sign: &AssignedCell<pallas::Base, pallas::Base>,
+        point: &Self::Point,
+    ) -> Result<Self::Point, Error> {
+        // Multiply point by sign, using the same gate as mul_fixed::short.
+        // This also constrains sign to be in {-1, 1}.
+        let config_short = self.config().mul_fixed_short.clone();
+        config_short.assign_scalar_sign(
+            layouter.namespace(|| "variable-base sign-scalar mul"),
+            sign,
+            point,
+        )
+    }
+
     fn mul(
         &self,
         layouter: &mut impl Layouter<pallas::Base>,
diff --git a/halo2_gadgets/src/ecc/chip/mul_fixed/short.rs b/halo2_gadgets/src/ecc/chip/mul_fixed/short.rs
index ac5d57214f..b5fca30818 100644
--- a/halo2_gadgets/src/ecc/chip/mul_fixed/short.rs
+++ b/halo2_gadgets/src/ecc/chip/mul_fixed/short.rs
@@ -4,7 +4,7 @@ use super::super::{EccPoint, EccScalarFixedShort, FixedPoints, L_SCALAR_SHORT, N
 use crate::{ecc::chip::MagnitudeSign, utilities::bool_check};
 
 use halo2_proofs::{
-    circuit::{Layouter, Region},
+    circuit::{AssignedCell, Layouter, Region},
     plonk::{ConstraintSystem, Constraints, Error, Expression, Selector},
     poly::Rotation,
 };
@@ -241,11 +241,73 @@ impl<Fixed: FixedPoints<pallas::Affine>> Config<Fixed> {
 
         Ok((result, scalar))
     }
+
+    /// Multiply the point by sign, using the q_mul_fixed_short gate.
+    /// This constrains `sign` to be in {-1, 1}.
+    pub(crate) fn assign_scalar_sign(
+        &self,
+        mut layouter: impl Layouter<pallas::Base>,
+        sign: &AssignedCell<pallas::Base, pallas::Base>,
+        point: &EccPoint,
+    ) -> Result<EccPoint, Error> {
+        let signed_point = layouter.assign_region(
+            || "Signed point",
+            |mut region| {
+                let offset = 0;
+
+                // Enable mul_fixed_short selector to check the sign logic.
+                self.q_mul_fixed_short.enable(&mut region, offset)?;
+
+                // Set "last window" to 0 (this field is irrelevant here).
+                region.assign_advice_from_constant(
+                    || "u=0",
+                    self.super_config.u,
+                    offset,
+                    pallas::Base::zero(),
+                )?;
+
+                // Copy sign to `window` column
+                sign.copy_advice(|| "sign", &mut region, self.super_config.window, offset)?;
+
+                // Assign the input y-coordinate.
+                point.y.copy_advice(
+                    || "unsigned y",
+                    &mut region,
+                    self.super_config.add_config.y_qr,
+                    offset,
+                )?;
+
+                // Conditionally negate y-coordinate according to the value of sign
+                let signed_y_val = sign.value().and_then(|sign| {
+                    if sign == &-pallas::Base::one() {
+                        -point.y.value()
+                    } else {
+                        point.y.value().cloned()
+                    }
+                });
+
+                // Assign the output signed y-coordinate.
+                let signed_y = region.assign_advice(
+                    || "signed y",
+                    self.super_config.add_config.y_p,
+                    offset,
+                    || signed_y_val,
+                )?;
+
+                Ok(EccPoint {
+                    x: point.x.clone(),
+                    y: signed_y,
+                })
+            },
+        )?;
+
+        Ok(signed_point)
+    }
 }
 
 #[cfg(test)]
 pub mod tests {
-    use group::{ff::PrimeField, Curve};
+    use group::{ff::PrimeField, Curve, Group};
     use halo2_proofs::{
         arithmetic::CurveAffine,
         circuit::{AssignedCell, Chip, Layouter, SimpleFloorPlanner, Value},
@@ -262,7 +324,10 @@ pub mod tests {
             FixedPointShort, NonIdentityPoint, Point, ScalarFixedShort,
         },
         utilities::{
-            lookup_range_check::{PallasLookupRangeCheck, PallasLookupRangeCheckConfig},
+            lookup_range_check::{
+                PallasLookupRangeCheck, PallasLookupRangeCheck4_5BConfig,
+                PallasLookupRangeCheckConfig,
+            },
             UtilitiesInstructions,
         },
     };
@@ -681,4 +746,218 @@ pub mod tests {
     fn invalid_magnitude_sign() {
         MyMagnitudeSignCircuit::<PallasLookupRangeCheckConfig>::test_invalid_magnitude_sign();
     }
+
+    #[test]
+    fn invalid_magnitude_sign_4_5b() {
+        MyMagnitudeSignCircuit::<PallasLookupRangeCheck4_5BConfig>::test_invalid_magnitude_sign();
+    }
+
+    pub(crate) fn test_mul_sign<Lookup: PallasLookupRangeCheck>(
+        chip: EccChip<TestFixedBases, Lookup>,
+        mut layouter: impl Layouter<pallas::Base>,
+    ) -> Result<(), Error> {
+        // Generate a random non-identity point P
+        let p_val = pallas::Point::random(rand::rngs::OsRng).to_affine();
+        let p = Point::new(
+            chip.clone(),
+            layouter.namespace(|| "P"),
+            Value::known(p_val),
+        )?;
+
+        // Create -P
+        let p_neg_val = -p_val;
+        let p_neg = Point::new(
+            chip.clone(),
+            layouter.namespace(|| "-P"),
+            Value::known(p_neg_val),
+        )?;
+
+        // Create the identity point
+        let identity = Point::new(
+            chip.clone(),
+            layouter.namespace(|| "identity"),
+            Value::known(pallas::Point::identity().to_affine()),
+        )?;
+
+        // Create -1 and 1 scalars
+        let pos_sign = chip.load_private(
+            layouter.namespace(|| "positive sign"),
+            chip.config().advices[0],
+            Value::known(pallas::Base::one()),
+        )?;
+        let neg_sign = chip.load_private(
+            layouter.namespace(|| "negative sign"),
+            chip.config().advices[1],
+            Value::known(-pallas::Base::one()),
+        )?;
+
+        // [1] P == P
+        {
+            let result = p.mul_sign(layouter.namespace(|| "[1] P"), &pos_sign)?;
+            result.constrain_equal(layouter.namespace(|| "constrain [1] P"), &p)?;
+        }
+
+        // [-1] P == -P
+        {
+            let result = p.mul_sign(layouter.namespace(|| "[1] P"), &neg_sign)?;
+            result.constrain_equal(layouter.namespace(|| "constrain [1] P"), &p_neg)?;
+        }
+
+        // [1] 0 == 0
+        {
+            let result = identity.mul_sign(layouter.namespace(|| "[1] O"), &pos_sign)?;
+            result.constrain_equal(layouter.namespace(|| "constrain [1] 0"), &identity)?;
+        }
+
+        // [-1] 0 == 0
+        {
+            let result = identity.mul_sign(layouter.namespace(|| "[-1] O"), &neg_sign)?;
+            result.constrain_equal(layouter.namespace(|| "constrain [1] 0"), &identity)?;
+        }
+
+        Ok(())
+    }
+
+    #[derive(Default)]
+    struct MyMulSignCircuit<Lookup: PallasLookupRangeCheck> {
+        base: Value<pallas::Affine>,
+        sign: Value<pallas::Base>,
+        _lookup_marker: PhantomData<Lookup>,
+    }
+
+    impl<Lookup: PallasLookupRangeCheck> UtilitiesInstructions<pallas::Base>
+        for MyMulSignCircuit<Lookup>
+    {
+        type Var = AssignedCell<pallas::Base, pallas::Base>;
+    }
+
+    impl<Lookup: PallasLookupRangeCheck> Circuit<pallas::Base> for MyMulSignCircuit<Lookup> {
+        type Config = EccConfig<TestFixedBases, Lookup>;
+        type FloorPlanner = SimpleFloorPlanner;
+
+        fn without_witnesses(&self) -> Self {
+            MyMulSignCircuit {
+                base: Value::unknown(),
+                sign: Value::unknown(),
+                _lookup_marker: PhantomData,
+            }
+        }
+
+        fn configure(meta: &mut ConstraintSystem<pallas::Base>) -> Self::Config {
+            let advices = [
+                meta.advice_column(),
+                meta.advice_column(),
+                meta.advice_column(),
+                meta.advice_column(),
+                meta.advice_column(),
+                meta.advice_column(),
+                meta.advice_column(),
+                meta.advice_column(),
+                meta.advice_column(),
+                meta.advice_column(),
+            ];
+            let lookup_table = meta.lookup_table_column();
+            let lagrange_coeffs = [
+                meta.fixed_column(),
+                meta.fixed_column(),
+                meta.fixed_column(),
+                meta.fixed_column(),
+                meta.fixed_column(),
+                meta.fixed_column(),
+                meta.fixed_column(),
+                meta.fixed_column(),
+            ];
+
+            // Shared fixed column for loading constants
+            let constants = meta.fixed_column();
+            meta.enable_constant(constants);
+
+            let range_check = Lookup::configure(meta, advices[9], lookup_table);
+            EccChip::<TestFixedBases, Lookup>::configure(
+                meta,
+                advices,
+                lagrange_coeffs,
+                range_check,
+            )
+        }
+
+        fn synthesize(
+            &self,
+            config: Self::Config,
+            mut layouter: impl Layouter<pallas::Base>,
+        ) -> Result<(), Error> {
+            let chip = EccChip::<TestFixedBases, Lookup>::construct(config.clone());
+
+            let column = config.advices[0];
+
+            let base = Point::new(chip, layouter.namespace(|| "load base"), self.base)?;
+
+            let sign = self.load_private(layouter.namespace(|| "load sign"), column, self.sign)?;
+
+            base.mul_sign(layouter.namespace(|| "[sign] base"), &sign)?;
+
+            Ok(())
+        }
+    }
+
+    impl<Lookup: PallasLookupRangeCheck> MyMulSignCircuit<Lookup> {
+        fn test_invalid_magnitude_sign() {
+            // Sign that is not +/- 1 should fail
+            // Generate a random non-identity point
+            let point = pallas::Point::random(rand::rngs::OsRng);
+            let circuit: MyMulSignCircuit<Lookup> = MyMulSignCircuit {
+                base: Value::known(point.to_affine()),
+                sign: Value::known(pallas::Base::zero()),
+                _lookup_marker: PhantomData,
+            };
+
+            let prover = MockProver::<pallas::Base>::run(11, &circuit, vec![]).unwrap();
+            assert_eq!(
+                prover.verify(),
+                Err(vec![
+                    VerifyFailure::ConstraintNotSatisfied {
+                        constraint: ((17, "Short fixed-base mul gate").into(), 1, "sign_check")
+                            .into(),
+                        location: FailureLocation::InRegion {
+                            region: (2, "Signed point").into(),
+                            offset: 0,
+                        },
+                        cell_values: vec![(((Any::Advice, 4).into(), 0).into(), "0".to_string())],
+                    },
+                    VerifyFailure::ConstraintNotSatisfied {
+                        constraint: (
+                            (17, "Short fixed-base mul gate").into(),
+                            3,
+                            "negation_check"
+                        )
+                            .into(),
+                        location: FailureLocation::InRegion {
+                            region: (2, "Signed point").into(),
+                            offset: 0,
+                        },
+                        cell_values: vec![
+                            (
+                                ((Any::Advice, 1).into(), 0).into(),
+                                format_value(*point.to_affine().coordinates().unwrap().y()),
+                            ),
+                            (
+                                ((Any::Advice, 3).into(), 0).into(),
+                                format_value(*point.to_affine().coordinates().unwrap().y()),
+                            ),
+                            (((Any::Advice, 4).into(), 0).into(), "0".to_string()),
+                        ],
+                    }
+                ])
+            );
+        }
+    }
+
+    #[test]
+    fn invalid_sign_in_mul_sign() {
+        MyMulSignCircuit::<PallasLookupRangeCheckConfig>::test_invalid_magnitude_sign();
+    }
+    #[test]
+    fn invalid_sign_in_mul_sign_4_5b() {
+        MyMulSignCircuit::<PallasLookupRangeCheck4_5BConfig>::test_invalid_magnitude_sign();
+    }
 }
diff --git a/halo2_gadgets/src/ecc/chip/witness_point.rs b/halo2_gadgets/src/ecc/chip/witness_point.rs
index 7cba8d6f87..98f865a6dc 100644
--- a/halo2_gadgets/src/ecc/chip/witness_point.rs
+++ b/halo2_gadgets/src/ecc/chip/witness_point.rs
@@ -102,6 +102,21 @@ impl Config {
         Ok((x_var, y_var))
     }
 
+    fn assign_xy_from_constant(
+        &self,
+        value: (Assigned<pallas::Base>, Assigned<pallas::Base>),
+        offset: usize,
+        region: &mut Region<'_, pallas::Base>,
+    ) -> Result<Coordinates, Error> {
+        // Assign `x` value
+        let x_var = region.assign_advice_from_constant(|| "x", self.x, offset, value.0)?;
+
+        // Assign `y` value
+        let y_var = region.assign_advice_from_constant(|| "y", self.y, offset, value.1)?;
+
+        Ok((x_var, y_var))
+    }
+
     /// Assigns a point that can be the identity.
     pub(super) fn point(
         &self,
@@ -126,6 +141,28 @@ impl Config {
             .map(|(x, y)| EccPoint::from_coordinates_unchecked(x, y))
     }
 
+    /// Assigns a constant point that can be the identity.
+    pub(super) fn constant_point(
+        &self,
+        value: pallas::Affine,
+        offset: usize,
+        region: &mut Region<'_, pallas::Base>,
+    ) -> Result<EccPoint, Error> {
+        // Enable `q_point` selector
+        self.q_point.enable(region, offset)?;
+
+        let value = if value == pallas::Affine::identity() {
+            // Map the identity to (0, 0).
+            (Assigned::Zero, Assigned::Zero)
+        } else {
+            let value = value.coordinates().unwrap();
+            (value.x().into(), value.y().into())
+        };
+
+        self.assign_xy_from_constant(value, offset, region)
+            .map(|(x, y)| EccPoint::from_coordinates_unchecked(x, y))
+    }
+
     /// Assigns a non-identity point.
     pub(super) fn point_non_id(
         &self,
diff --git a/halo2_gadgets/src/poseidon/pow5.rs b/halo2_gadgets/src/poseidon/pow5.rs
index 5c68a2c9ce..89f98fbd42 100644
--- a/halo2_gadgets/src/poseidon/pow5.rs
+++ b/halo2_gadgets/src/poseidon/pow5.rs
@@ -618,18 +618,18 @@ mod tests {
     use std::convert::TryInto;
     use std::marker::PhantomData;
 
-    struct PermuteCircuit<S: Spec<Fp, WIDTH, RATE>, const WIDTH: usize, const RATE: usize>(
+    struct MyPermuteCircuit<S: Spec<Fp, WIDTH, RATE>, const WIDTH: usize, const RATE: usize>(
         PhantomData<S>,
     );
 
     impl<S: Spec<Fp, WIDTH, RATE>, const WIDTH: usize, const RATE: usize> Circuit<Fp>
-        for PermuteCircuit<S, WIDTH, RATE>
+        for MyPermuteCircuit<S, WIDTH, RATE>
     {
         type Config = Pow5Config<Fp, WIDTH, RATE>;
         type FloorPlanner = SimpleFloorPlanner;
 
         fn without_witnesses(&self) -> Self {
-            PermuteCircuit::<S, WIDTH, RATE>(PhantomData)
+            MyPermuteCircuit::<S, WIDTH, RATE>(PhantomData)
         }
 
         fn configure(meta: &mut ConstraintSystem<Fp>) -> Pow5Config<Fp, WIDTH, RATE> {
@@ -719,12 +719,12 @@ mod tests {
     #[test]
     fn poseidon_permute() {
         let k = 6;
-        let circuit = PermuteCircuit::<OrchardNullifier, 3, 2>(PhantomData);
+        let circuit = MyPermuteCircuit::<OrchardNullifier, 3, 2>(PhantomData);
         let prover = MockProver::run(k, &circuit, vec![]).unwrap();
         assert_eq!(prover.verify(), Ok(()))
     }
 
-    struct HashCircuit<
+    struct MyHashCircuit<
         S: Spec<Fp, WIDTH, RATE>,
         const WIDTH: usize,
         const RATE: usize,
@@ -738,7 +738,7 @@ mod tests {
     }
 
     impl<S: Spec<Fp, WIDTH, RATE>, const WIDTH: usize, const RATE: usize, const L: usize>
-        Circuit<Fp> for HashCircuit<S, WIDTH, RATE, L>
+        Circuit<Fp> for MyHashCircuit<S, WIDTH, RATE, L>
     {
         type Config = Pow5Config<Fp, WIDTH, RATE>;
         type FloorPlanner = SimpleFloorPlanner;
@@ -824,7 +824,7 @@ mod tests {
             poseidon::Hash::<_, OrchardNullifier, ConstantLength<2>, 3, 2>::init().hash(message);
 
         let k = 6;
-        let circuit = HashCircuit::<OrchardNullifier, 3, 2, 2> {
+        let circuit = MyHashCircuit::<OrchardNullifier, 3, 2, 2> {
             message: Value::known(message),
             output: Value::known(output),
             _spec: PhantomData,
@@ -842,7 +842,7 @@ mod tests {
             poseidon::Hash::<_, OrchardNullifier, ConstantLength<3>, 3, 2>::init().hash(message);
 
         let k = 7;
-        let circuit = HashCircuit::<OrchardNullifier, 3, 2, 3> {
+        let circuit = MyHashCircuit::<OrchardNullifier, 3, 2, 3> {
             message: Value::known(message),
             output: Value::known(output),
             _spec: PhantomData,
@@ -884,7 +884,7 @@ mod tests {
                 .hash(message);
 
             let k = 6;
-            let circuit = HashCircuit::<OrchardNullifier, 3, 2, 2> {
+            let circuit = MyHashCircuit::<OrchardNullifier, 3, 2, 2> {
                 message: Value::known(message),
                 output: Value::known(output),
                 _spec: PhantomData,
@@ -905,7 +905,7 @@ mod tests {
             .titled("Poseidon Chip Layout", ("sans-serif", 60))
             .unwrap();
 
-        let circuit = HashCircuit::<OrchardNullifier, 3, 2, 2> {
+        let circuit = MyHashCircuit::<OrchardNullifier, 3, 2, 2> {
             message: Value::unknown(),
             output: Value::unknown(),
             _spec: PhantomData,
diff --git a/halo2_gadgets/src/sinsemilla.rs b/halo2_gadgets/src/sinsemilla.rs
index ab6495416b..16a969f8a7 100644
--- a/halo2_gadgets/src/sinsemilla.rs
+++ b/halo2_gadgets/src/sinsemilla.rs
@@ -79,7 +79,7 @@ pub trait SinsemillaInstructions<C: CurveAffine, const K: usize, const MAX_WORDS
     /// This returns both the resulting point, as well as the message
     /// decomposition in the form of intermediate values in a cumulative
     /// sum.
-    ///
+    /// The initial point `Q` is a public point.
     #[allow(non_snake_case)]
     #[allow(clippy::type_complexity)]
     fn hash_to_point(
@@ -89,6 +89,20 @@ pub trait SinsemillaInstructions<C: CurveAffine, const K: usize, const MAX_WORDS
         message: Self::Message,
     ) -> Result<(Self::NonIdentityPoint, Vec<Self::RunningSum>), Error>;
 
+    /// Hashes a message to an ECC curve point.
+    /// This returns both the resulting point, as well as the message
+    /// decomposition in the form of intermediate values in a cumulative
+    /// sum.
+    /// The initial point `Q` is a private point.
+    #[allow(non_snake_case)]
+    #[allow(clippy::type_complexity)]
+    fn hash_to_point_with_private_init(
+        &self,
+        layouter: impl Layouter<C::Base>,
+        Q: &Self::NonIdentityPoint,
+        message: Self::Message,
+    ) -> Result<(Self::NonIdentityPoint, Vec<Self::RunningSum>), Error>;
+
     /// Extracts the x-coordinate of the output of a Sinsemilla hash.
     fn extract(point: &Self::NonIdentityPoint) -> Self::X;
 }
@@ -330,6 +344,21 @@ where
             .map(|(point, zs)| (ecc::NonIdentityPoint::from_inner(self.ecc_chip.clone(), point), zs))
     }
 
+    #[allow(non_snake_case)]
+    #[allow(clippy::type_complexity)]
+    /// Evaluate the Sinsemilla hash of `message` from the private initial point `Q`.
+    pub fn hash_to_point_with_private_init(
+        &self,
+        layouter: impl Layouter<C::Base>,
+        Q: &<SinsemillaChip as SinsemillaInstructions<C, K, MAX_WORDS>>::NonIdentityPoint,
+        message: Message<C, SinsemillaChip, K, MAX_WORDS>,
+    ) -> Result<(ecc::NonIdentityPoint<C, EccChip>, Vec<SinsemillaChip::RunningSum>), Error> {
+        assert_eq!(self.sinsemilla_chip, message.chip);
+        self.sinsemilla_chip
+            .hash_to_point_with_private_init(layouter, Q, message.inner)
+            .map(|(point, zs)| (ecc::NonIdentityPoint::from_inner(self.ecc_chip.clone(), point), zs))
+    }
+
     /// $\mathsf{SinsemillaHash}$ from [§ 5.4.1.9][concretesinsemillahash].
     ///
     /// [concretesinsemillahash]: https://zips.z.cash/protocol/protocol.pdf#concretesinsemillahash
@@ -413,6 +442,45 @@ where
         }
     }
 
+    #[allow(non_snake_case)]
+    #[allow(clippy::type_complexity)]
+    /// Evaluates the Sinsemilla hash of `message` from the private initial point `Q`.
+    pub fn hash_with_private_init(
+        &self,
+        layouter: impl Layouter<C::Base>,
+        Q: &<SinsemillaChip as SinsemillaInstructions<C, K, MAX_WORDS>>::NonIdentityPoint,
+        message: Message<C, SinsemillaChip, K, MAX_WORDS>,
+    ) -> Result<
+        (
+            ecc::NonIdentityPoint<C, EccChip>,
+            Vec<SinsemillaChip::RunningSum>,
+        ),
+        Error,
+    > {
+        assert_eq!(self.M.sinsemilla_chip, message.chip);
+        self.M.hash_to_point_with_private_init(layouter, Q, message)
+    }
+
+    #[allow(clippy::type_complexity)]
+    /// Returns the public initial point `Q` stored into `CommitDomain`.
+    pub fn q_init(&self) -> C {
+        self.M.Q
+    }
+
+    #[allow(clippy::type_complexity)]
+    /// Evaluates the blinding factor equal to $\[r\] R$ where `r` is stored in the `CommitDomain`.
+    pub fn blinding_factor(
+        &self,
+        mut layouter: impl Layouter<C::Base>,
+        r: ecc::ScalarFixed<C, EccChip>,
+    ) -> Result<
+        ecc::Point<C, EccChip>,
+        Error,
+    > {
+        let (blind, _) = self.R.mul(layouter.namespace(|| "[r] R"), r)?;
+        Ok(blind)
+    }
+
     #[allow(clippy::type_complexity)]
     /// $\mathsf{SinsemillaCommit}$ from [§ 5.4.8.4][concretesinsemillacommit].
     ///
@@ -474,7 +542,9 @@ pub(crate) mod tests {
         },
         sinsemilla::primitives::{self as sinsemilla, K},
         test_circuits::test_utils::test_against_stored_circuit,
-        utilities::lookup_range_check::{PallasLookupRangeCheck, PallasLookupRangeCheckConfig},
+        utilities::lookup_range_check::{
+            PallasLookupRangeCheck, PallasLookupRangeCheck4_5BConfig, PallasLookupRangeCheckConfig,
+        },
     };
 
     use group::{ff::Field, Curve};
@@ -516,261 +586,344 @@ pub(crate) mod tests {
         }
     }
 
-    struct MyCircuit<Lookup: PallasLookupRangeCheck> {
+    struct MySinsemillaCircuit<Lookup: PallasLookupRangeCheck> {
         _lookup_marker: PhantomData<Lookup>,
     }
 
-    impl<Lookup: PallasLookupRangeCheck> MyCircuit<Lookup> {
+    impl<Lookup: PallasLookupRangeCheck> MySinsemillaCircuit<Lookup> {
         fn new() -> Self {
-            MyCircuit {
+            Self {
                 _lookup_marker: PhantomData,
             }
         }
     }
 
-    type MyConfig<Lookup> = (
+    type EccSinsemillaConfig<Lookup> = (
         EccConfig<TestFixedBases, Lookup>,
         SinsemillaConfig<TestHashDomain, TestCommitDomain, TestFixedBases, Lookup>,
         SinsemillaConfig<TestHashDomain, TestCommitDomain, TestFixedBases, Lookup>,
     );
 
-    impl<Lookup: PallasLookupRangeCheck> Circuit<pallas::Base> for MyCircuit<Lookup> {
-        #[allow(clippy::type_complexity)]
-        type Config = MyConfig<Lookup>;
+    fn configure<Lookup: PallasLookupRangeCheck>(
+        meta: &mut ConstraintSystem<pallas::Base>,
+        allow_init_from_private_point: bool,
+    ) -> EccSinsemillaConfig<Lookup> {
+        let advices = [
+            meta.advice_column(),
+            meta.advice_column(),
+            meta.advice_column(),
+            meta.advice_column(),
+            meta.advice_column(),
+            meta.advice_column(),
+            meta.advice_column(),
+            meta.advice_column(),
+            meta.advice_column(),
+            meta.advice_column(),
+        ];
+
+        // Shared fixed column for loading constants
+        let constants = meta.fixed_column();
+        meta.enable_constant(constants);
+
+        let table_idx = meta.lookup_table_column();
+        let lagrange_coeffs = [
+            meta.fixed_column(),
+            meta.fixed_column(),
+            meta.fixed_column(),
+            meta.fixed_column(),
+            meta.fixed_column(),
+            meta.fixed_column(),
+            meta.fixed_column(),
+            meta.fixed_column(),
+        ];
+
+        // Fixed columns for the Sinsemilla generator lookup table
+        let lookup = (
+            table_idx,
+            meta.lookup_table_column(),
+            meta.lookup_table_column(),
+        );
+
+        let range_check = Lookup::configure(meta, advices[9], table_idx);
+
+        let ecc_config = EccChip::<TestFixedBases, Lookup>::configure(
+            meta,
+            advices,
+            lagrange_coeffs,
+            range_check,
+        );
+
+        let config1 = SinsemillaChip::configure(
+            meta,
+            advices[..5].try_into().unwrap(),
+            advices[2],
+            lagrange_coeffs[0],
+            lookup,
+            range_check,
+            allow_init_from_private_point,
+        );
+        let config2 = SinsemillaChip::configure(
+            meta,
+            advices[5..].try_into().unwrap(),
+            advices[7],
+            lagrange_coeffs[1],
+            lookup,
+            range_check,
+            allow_init_from_private_point,
+        );
+        (ecc_config, config1, config2)
+    }
+
+    fn synthesize<Lookup: PallasLookupRangeCheck>(
+        config: EccSinsemillaConfig<Lookup>,
+        mut layouter: impl Layouter<pallas::Base>,
+    ) -> Result<(), Error> {
+        let rng = OsRng;
+
+        let ecc_chip = EccChip::construct(config.0);
+
+        // The two `SinsemillaChip`s share the same lookup table.
+        SinsemillaChip::<TestHashDomain, TestCommitDomain, TestFixedBases, Lookup>::load(
+            config.1.clone(),
+            &mut layouter,
+        )?;
+
+        // This MerkleCRH example is purely for illustrative purposes.
+        // It is not an implementation of the Orchard protocol spec.
+        {
+            let chip1 = SinsemillaChip::construct(config.1);
+
+            let merkle_crh = HashDomain::new(chip1.clone(), ecc_chip.clone(), &TestHashDomain);
+
+            // Layer 31, l = MERKLE_DEPTH - 1 - layer = 0
+            let l_bitstring = vec![Value::known(false); K];
+            let l = MessagePiece::from_bitstring(
+                chip1.clone(),
+                layouter.namespace(|| "l"),
+                &l_bitstring,
+            )?;
+
+            // Left leaf
+            let left_bitstring: Vec<Value<bool>> = (0..250)
+                .map(|_| Value::known(rand::random::<bool>()))
+                .collect();
+            let left = MessagePiece::from_bitstring(
+                chip1.clone(),
+                layouter.namespace(|| "left"),
+                &left_bitstring,
+            )?;
+
+            // Right leaf
+            let right_bitstring: Vec<Value<bool>> = (0..250)
+                .map(|_| Value::known(rand::random::<bool>()))
+                .collect();
+            let right = MessagePiece::from_bitstring(
+                chip1.clone(),
+                layouter.namespace(|| "right"),
+                &right_bitstring,
+            )?;
+
+            let l_bitstring: Value<Vec<bool>> = l_bitstring.into_iter().collect();
+            let left_bitstring: Value<Vec<bool>> = left_bitstring.into_iter().collect();
+            let right_bitstring: Value<Vec<bool>> = right_bitstring.into_iter().collect();
+
+            // Witness expected parent
+            let expected_parent = {
+                let expected_parent = l_bitstring.zip(left_bitstring.zip(right_bitstring)).map(
+                    |(l, (left, right))| {
+                        let merkle_crh = sinsemilla::HashDomain::from_Q((*Q).into());
+                        let point = merkle_crh
+                            .hash_to_point(
+                                l.into_iter()
+                                    .chain(left.into_iter())
+                                    .chain(right.into_iter()),
+                            )
+                            .unwrap();
+                        point.to_affine()
+                    },
+                );
+
+                NonIdentityPoint::new(
+                    ecc_chip.clone(),
+                    layouter.namespace(|| "Witness expected parent"),
+                    expected_parent,
+                )?
+            };
+
+            // Parent
+            let (parent, _) = {
+                let message = Message::from_pieces(chip1, vec![l, left, right]);
+                merkle_crh.hash_to_point(layouter.namespace(|| "parent"), message)?
+            };
+
+            parent.constrain_equal(
+                layouter.namespace(|| "parent == expected parent"),
+                &expected_parent,
+            )?;
+        }
+
+        {
+            let chip2 = SinsemillaChip::construct(config.2);
+
+            let test_commit = CommitDomain::new(chip2.clone(), ecc_chip.clone(), &TestCommitDomain);
+            let r_val = pallas::Scalar::random(rng);
+            let message: Vec<Value<bool>> = (0..500)
+                .map(|_| Value::known(rand::random::<bool>()))
+                .collect();
+
+            let (result, _) = {
+                let r = ScalarFixed::new(
+                    ecc_chip.clone(),
+                    layouter.namespace(|| "r"),
+                    Value::known(r_val),
+                )?;
+                let message = Message::from_bitstring(
+                    chip2,
+                    layouter.namespace(|| "witness message"),
+                    message.clone(),
+                )?;
+                test_commit.commit(layouter.namespace(|| "commit"), message, r)?
+            };
+
+            // Witness expected result.
+            let expected_result = {
+                let message: Value<Vec<bool>> = message.into_iter().collect();
+                let expected_result = message.map(|message| {
+                    let domain = sinsemilla::CommitDomain::new(PERSONALIZATION);
+                    let point = domain.commit(message.into_iter(), &r_val).unwrap();
+                    point.to_affine()
+                });
+
+                NonIdentityPoint::new(
+                    ecc_chip,
+                    layouter.namespace(|| "Witness expected result"),
+                    expected_result,
+                )?
+            };
+
+            result.constrain_equal(
+                layouter.namespace(|| "result == expected result"),
+                &expected_result,
+            )
+        }
+    }
+
+    impl<Lookup: PallasLookupRangeCheck> Circuit<pallas::Base> for MySinsemillaCircuit<Lookup> {
+        type Config = EccSinsemillaConfig<Lookup>;
         type FloorPlanner = SimpleFloorPlanner;
 
         fn without_witnesses(&self) -> Self {
-            MyCircuit::new()
+            MySinsemillaCircuit::new()
         }
 
         #[allow(non_snake_case)]
         fn configure(meta: &mut ConstraintSystem<pallas::Base>) -> Self::Config {
-            let advices = [
-                meta.advice_column(),
-                meta.advice_column(),
-                meta.advice_column(),
-                meta.advice_column(),
-                meta.advice_column(),
-                meta.advice_column(),
-                meta.advice_column(),
-                meta.advice_column(),
-                meta.advice_column(),
-                meta.advice_column(),
-            ];
-
-            // Shared fixed column for loading constants
-            let constants = meta.fixed_column();
-            meta.enable_constant(constants);
-
-            let table_idx = meta.lookup_table_column();
-            let lagrange_coeffs = [
-                meta.fixed_column(),
-                meta.fixed_column(),
-                meta.fixed_column(),
-                meta.fixed_column(),
-                meta.fixed_column(),
-                meta.fixed_column(),
-                meta.fixed_column(),
-                meta.fixed_column(),
-            ];
-
-            // Fixed columns for the Sinsemilla generator lookup table
-            let lookup = (
-                table_idx,
-                meta.lookup_table_column(),
-                meta.lookup_table_column(),
-            );
-
-            let range_check = Lookup::configure(meta, advices[9], table_idx);
-
-            let ecc_config = EccChip::<TestFixedBases, Lookup>::configure(
-                meta,
-                advices,
-                lagrange_coeffs,
-                range_check,
-            );
-
-            let config1 = SinsemillaChip::configure(
-                meta,
-                advices[..5].try_into().unwrap(),
-                advices[2],
-                lagrange_coeffs[0],
-                lookup,
-                range_check,
-            );
-            let config2 = SinsemillaChip::configure(
-                meta,
-                advices[5..].try_into().unwrap(),
-                advices[7],
-                lagrange_coeffs[1],
-                lookup,
-                range_check,
-            );
-            (ecc_config, config1, config2)
+            configure::<Lookup>(meta, false)
         }
 
         fn synthesize(
             &self,
             config: Self::Config,
-            mut layouter: impl Layouter<pallas::Base>,
+            layouter: impl Layouter<pallas::Base>,
         ) -> Result<(), Error> {
-            let rng = OsRng;
-
-            let ecc_chip = EccChip::construct(config.0);
+            synthesize(config, layouter)
+        }
+    }
 
-            // The two `SinsemillaChip`s share the same lookup table.
-            SinsemillaChip::<TestHashDomain, TestCommitDomain, TestFixedBases, Lookup>::load(
-                config.1.clone(),
-                &mut layouter,
-            )?;
+    #[test]
+    fn sinsemilla_chip() {
+        let k = 11;
+        let circuit = MySinsemillaCircuit::<PallasLookupRangeCheckConfig>::new();
+        let prover = MockProver::run(k, &circuit, vec![]).unwrap();
+        assert_eq!(prover.verify(), Ok(()))
+    }
 
-            // This MerkleCRH example is purely for illustrative purposes.
-            // It is not an implementation of the Orchard protocol spec.
-            {
-                let chip1 = SinsemillaChip::construct(config.1);
+    #[test]
+    fn test_sinsemilla_chip_against_stored_circuit() {
+        let circuit = MySinsemillaCircuit::<PallasLookupRangeCheckConfig>::new();
+        test_against_stored_circuit(circuit, "sinsemilla_chip", 4576);
+    }
 
-                let merkle_crh = HashDomain::new(chip1.clone(), ecc_chip.clone(), &TestHashDomain);
+    #[cfg(feature = "test-dev-graph")]
+    #[test]
+    fn print_sinsemilla_chip() {
+        use plotters::prelude::*;
 
-                // Layer 31, l = MERKLE_DEPTH - 1 - layer = 0
-                let l_bitstring = vec![Value::known(false); K];
-                let l = MessagePiece::from_bitstring(
-                    chip1.clone(),
-                    layouter.namespace(|| "l"),
-                    &l_bitstring,
-                )?;
+        let root =
+            BitMapBackend::new("sinsemilla-hash-layout.png", (1024, 7680)).into_drawing_area();
+        root.fill(&WHITE).unwrap();
+        let root = root.titled("SinsemillaHash", ("sans-serif", 60)).unwrap();
 
-                // Left leaf
-                let left_bitstring: Vec<Value<bool>> = (0..250)
-                    .map(|_| Value::known(rand::random::<bool>()))
-                    .collect();
-                let left = MessagePiece::from_bitstring(
-                    chip1.clone(),
-                    layouter.namespace(|| "left"),
-                    &left_bitstring,
-                )?;
+        let circuit = MySinsemillaCircuit::<PallasLookupRangeCheckConfig>::new();
+        halo2_proofs::dev::CircuitLayout::default()
+            .render(11, &circuit, &root)
+            .unwrap();
+    }
 
-                // Right leaf
-                let right_bitstring: Vec<Value<bool>> = (0..250)
-                    .map(|_| Value::known(rand::random::<bool>()))
-                    .collect();
-                let right = MessagePiece::from_bitstring(
-                    chip1.clone(),
-                    layouter.namespace(|| "right"),
-                    &right_bitstring,
-                )?;
+    struct MySinsemillaCircuitWithHashFromPrivatePoint<Lookup: PallasLookupRangeCheck> {
+        _lookup_marker: PhantomData<Lookup>,
+    }
 
-                let l_bitstring: Value<Vec<bool>> = l_bitstring.into_iter().collect();
-                let left_bitstring: Value<Vec<bool>> = left_bitstring.into_iter().collect();
-                let right_bitstring: Value<Vec<bool>> = right_bitstring.into_iter().collect();
-
-                // Witness expected parent
-                let expected_parent = {
-                    let expected_parent = l_bitstring.zip(left_bitstring.zip(right_bitstring)).map(
-                        |(l, (left, right))| {
-                            let merkle_crh = sinsemilla::HashDomain::from_Q((*Q).into());
-                            let point = merkle_crh
-                                .hash_to_point(
-                                    l.into_iter()
-                                        .chain(left.into_iter())
-                                        .chain(right.into_iter()),
-                                )
-                                .unwrap();
-                            point.to_affine()
-                        },
-                    );
-
-                    NonIdentityPoint::new(
-                        ecc_chip.clone(),
-                        layouter.namespace(|| "Witness expected parent"),
-                        expected_parent,
-                    )?
-                };
-
-                // Parent
-                let (parent, _) = {
-                    let message = Message::from_pieces(chip1, vec![l, left, right]);
-                    merkle_crh.hash_to_point(layouter.namespace(|| "parent"), message)?
-                };
-
-                parent.constrain_equal(
-                    layouter.namespace(|| "parent == expected parent"),
-                    &expected_parent,
-                )?;
+    impl<Lookup: PallasLookupRangeCheck> MySinsemillaCircuitWithHashFromPrivatePoint<Lookup> {
+        fn new() -> Self {
+            Self {
+                _lookup_marker: PhantomData,
             }
+        }
+    }
 
-            {
-                let chip2 = SinsemillaChip::construct(config.2);
-
-                let test_commit =
-                    CommitDomain::new(chip2.clone(), ecc_chip.clone(), &TestCommitDomain);
-                let r_val = pallas::Scalar::random(rng);
-                let message: Vec<Value<bool>> = (0..500)
-                    .map(|_| Value::known(rand::random::<bool>()))
-                    .collect();
-
-                let (result, _) = {
-                    let r = ScalarFixed::new(
-                        ecc_chip.clone(),
-                        layouter.namespace(|| "r"),
-                        Value::known(r_val),
-                    )?;
-                    let message = Message::from_bitstring(
-                        chip2,
-                        layouter.namespace(|| "witness message"),
-                        message.clone(),
-                    )?;
-                    test_commit.commit(layouter.namespace(|| "commit"), message, r)?
-                };
-
-                // Witness expected result.
-                let expected_result = {
-                    let message: Value<Vec<bool>> = message.into_iter().collect();
-                    let expected_result = message.map(|message| {
-                        let domain = sinsemilla::CommitDomain::new(PERSONALIZATION);
-                        let point = domain.commit(message.into_iter(), &r_val).unwrap();
-                        point.to_affine()
-                    });
-
-                    NonIdentityPoint::new(
-                        ecc_chip,
-                        layouter.namespace(|| "Witness expected result"),
-                        expected_result,
-                    )?
-                };
-
-                result.constrain_equal(
-                    layouter.namespace(|| "result == expected result"),
-                    &expected_result,
-                )
-            }
+    impl<Lookup: PallasLookupRangeCheck> Circuit<pallas::Base>
+        for MySinsemillaCircuitWithHashFromPrivatePoint<Lookup>
+    {
+        type Config = EccSinsemillaConfig<Lookup>;
+        type FloorPlanner = SimpleFloorPlanner;
+
+        fn without_witnesses(&self) -> Self {
+            MySinsemillaCircuitWithHashFromPrivatePoint::new()
+        }
+
+        #[allow(non_snake_case)]
+        fn configure(meta: &mut ConstraintSystem<pallas::Base>) -> Self::Config {
+            configure::<Lookup>(meta, true)
+        }
+
+        fn synthesize(
+            &self,
+            config: Self::Config,
+            layouter: impl Layouter<pallas::Base>,
+        ) -> Result<(), Error> {
+            synthesize(config, layouter)
         }
     }
 
     #[test]
-    fn sinsemilla_chip() {
+    fn sinsemilla_with_hash_from_private_point_chip_4_5b() {
         let k = 11;
-        let circuit = MyCircuit::<PallasLookupRangeCheckConfig>::new();
+        let circuit =
+            MySinsemillaCircuitWithHashFromPrivatePoint::<PallasLookupRangeCheck4_5BConfig>::new();
         let prover = MockProver::run(k, &circuit, vec![]).unwrap();
         assert_eq!(prover.verify(), Ok(()))
     }
 
     #[test]
-    fn test_sinsemilla_chip_against_stored_circuit() {
-        let circuit = MyCircuit::<PallasLookupRangeCheckConfig>::new();
-        test_against_stored_circuit(circuit, "sinsemilla_chip", 4576);
+    fn test_against_stored_sinsemilla_with_hash_from_private_point_chip_4_5b() {
+        let circuit =
+            MySinsemillaCircuitWithHashFromPrivatePoint::<PallasLookupRangeCheck4_5BConfig>::new();
+        test_against_stored_circuit(circuit, "sinsemilla_with_private_init_chip_4_5b", 4672);
     }
 
     #[cfg(feature = "test-dev-graph")]
     #[test]
-    fn print_sinsemilla_chip() {
+    fn print_sinsemilla_with_hash_from_private_point_chip_4_5b() {
         use plotters::prelude::*;
 
-        let root =
-            BitMapBackend::new("sinsemilla-hash-layout.png", (1024, 7680)).into_drawing_area();
+        let root = BitMapBackend::new("sinsemilla-with-private-init-4_5b-layout.png", (1024, 7680))
+            .into_drawing_area();
         root.fill(&WHITE).unwrap();
         let root = root.titled("SinsemillaHash", ("sans-serif", 60)).unwrap();
 
-        let circuit = MyCircuit::<PallasLookupRangeCheckConfig>::new();
+        let circuit =
+            MySinsemillaCircuitWithHashFromPrivatePoint::<PallasLookupRangeCheck4_5BConfig>::new();
         halo2_proofs::dev::CircuitLayout::default()
             .render(11, &circuit, &root)
             .unwrap();
diff --git a/halo2_gadgets/src/sinsemilla/chip.rs b/halo2_gadgets/src/sinsemilla/chip.rs
index 47296e39e1..32dc28ffe7 100644
--- a/halo2_gadgets/src/sinsemilla/chip.rs
+++ b/halo2_gadgets/src/sinsemilla/chip.rs
@@ -23,12 +23,16 @@ use halo2_proofs::{
 };
 use pasta_curves::pallas;
 
-mod generator_table;
+pub(crate) mod generator_table;
 use generator_table::GeneratorTableConfig;
 
 mod hash_to_point;
 
 /// Configuration for the Sinsemilla hash chip
+///
+/// If `allow_init_from_private_point` is true, the chip can compute a hash from a private point.
+/// However, compared to when `allow_init_from_private_point` is set to false,
+/// computing the hash from a public point will take one additional row.
 #[derive(Eq, PartialEq, Clone, Debug)]
 pub struct SinsemillaConfig<Hash, Commit, F, Lookup = PallasLookupRangeCheckConfig>
 where
@@ -60,6 +64,10 @@ where
     pub(super) generator_table: GeneratorTableConfig,
     /// An advice column configured to perform lookup range checks.
     lookup_config: Lookup,
+
+    /// If true, it is possible to compute a hash from a private point.
+    allow_init_from_private_point: bool,
+
     _marker: PhantomData<(Hash, Commit, F)>,
 }
 
@@ -145,9 +153,15 @@ where
         layouter: &mut impl Layouter<pallas::Base>,
     ) -> Result<<Self as Chip<pallas::Base>>::Loaded, Error> {
         // Load the lookup table.
-        config.generator_table.load(layouter)
+        config.generator_table.load(config.lookup_config, layouter)
     }
 
+    /// Creates the Sinsemilla chip
+    ///
+    /// If `allow_init_from_private_point` is true, the chip can compute a hash from a private point.
+    /// However, compared to when `allow_init_from_private_point` is set to false,
+    /// computing the hash from a public point will take one additional row.
+    ///
     /// # Side-effects
     ///
     /// All columns in `advices` and will be equality-enabled.
@@ -160,6 +174,7 @@ where
         fixed_y_q: Column<Fixed>,
         lookup: (TableColumn, TableColumn, TableColumn),
         range_check: Lookup,
+        allow_init_from_private_point: bool,
     ) -> <Self as Chip<pallas::Base>>::Config {
         // Enable equality on all advice columns
         for advice in advices.iter() {
@@ -185,6 +200,7 @@ where
                 table_y: lookup.2,
             },
             lookup_config: range_check,
+            allow_init_from_private_point,
             _marker: PhantomData,
         };
 
@@ -208,7 +224,11 @@ where
         // https://p.z.cash/halo2-0.1:sinsemilla-constraints?partial
         meta.create_gate("Initial y_Q", |meta| {
             let q_s4 = meta.query_selector(config.q_sinsemilla4);
-            let y_q = meta.query_fixed(config.fixed_y_q);
+            let y_q = if allow_init_from_private_point {
+                meta.query_advice(config.double_and_add.x_p, Rotation::prev())
+            } else {
+                meta.query_fixed(config.fixed_y_q)
+            };
 
             // Y_A = (lambda_1 + lambda_2) * (x_a - x_r)
             let Y_A_cur = Y_A(meta, Rotation::cur());
@@ -328,6 +348,24 @@ where
         )
     }
 
+    #[allow(non_snake_case)]
+    #[allow(clippy::type_complexity)]
+    fn hash_to_point_with_private_init(
+        &self,
+        mut layouter: impl Layouter<pallas::Base>,
+        Q: &Self::NonIdentityPoint,
+        message: Self::Message,
+    ) -> Result<(Self::NonIdentityPoint, Vec<Self::RunningSum>), Error> {
+        if !self.config().allow_init_from_private_point {
+            return Err(Error::IllegalHashFromPrivatePoint);
+        }
+
+        layouter.assign_region(
+            || "hash_to_point",
+            |mut region| self.hash_message_with_private_init(&mut region, Q, &message),
+        )
+    }
+
     fn extract(point: &Self::NonIdentityPoint) -> Self::X {
         point.x()
     }
diff --git a/halo2_gadgets/src/sinsemilla/chip/generator_table.rs b/halo2_gadgets/src/sinsemilla/chip/generator_table.rs
index 96219016b2..0f461ada6b 100644
--- a/halo2_gadgets/src/sinsemilla/chip/generator_table.rs
+++ b/halo2_gadgets/src/sinsemilla/chip/generator_table.rs
@@ -1,6 +1,7 @@
+use ff::PrimeFieldBits;
 use group::ff::PrimeField;
 use halo2_proofs::{
-    circuit::{Layouter, Value},
+    circuit::Layouter,
     plonk::{ConstraintSystem, Error, Expression, TableColumn},
     poly::Rotation,
 };
@@ -8,7 +9,7 @@ use halo2_proofs::{
 use super::{CommitDomains, FixedPoints, HashDomains};
 use crate::{
     sinsemilla::primitives::{self as sinsemilla, SINSEMILLA_S},
-    utilities::lookup_range_check::PallasLookupRangeCheck,
+    utilities::lookup_range_check::{LookupRangeCheck, PallasLookupRangeCheck},
 };
 use pasta_curves::pallas;
 
@@ -81,22 +82,15 @@ impl GeneratorTableConfig {
         });
     }
 
-    pub fn load(&self, layouter: &mut impl Layouter<pallas::Base>) -> Result<(), Error> {
-        layouter.assign_table(
-            || "generator_table",
-            |mut table| {
-                for (index, (x, y)) in SINSEMILLA_S.iter().enumerate() {
-                    table.assign_cell(
-                        || "table_idx",
-                        self.table_idx,
-                        index,
-                        || Value::known(pallas::Base::from(index as u64)),
-                    )?;
-                    table.assign_cell(|| "table_x", self.table_x, index, || Value::known(*x))?;
-                    table.assign_cell(|| "table_y", self.table_y, index, || Value::known(*y))?;
-                }
-                Ok(())
-            },
-        )
+    /// Load the generator table into the circuit.
+    pub fn load<F, const K: usize>(
+        &self,
+        lookup_config: impl LookupRangeCheck<F, K>,
+        layouter: &mut impl Layouter<pallas::Base>,
+    ) -> Result<(), Error>
+    where
+        F: PrimeFieldBits,
+    {
+        lookup_config.load(self, layouter)
     }
 }
diff --git a/halo2_gadgets/src/sinsemilla/chip/hash_to_point.rs b/halo2_gadgets/src/sinsemilla/chip/hash_to_point.rs
index b7315bf213..f50ac06247 100644
--- a/halo2_gadgets/src/sinsemilla/chip/hash_to_point.rs
+++ b/halo2_gadgets/src/sinsemilla/chip/hash_to_point.rs
@@ -21,8 +21,6 @@ use std::ops::Deref;
 #[cfg(test)]
 enum EccPointQ {
     PublicPoint(pallas::Affine),
-    #[allow(dead_code)]
-    // We will use private point for ZSA
     PrivatePoint(NonIdentityEccPoint),
 }
 
@@ -68,21 +66,66 @@ where
         ))
     }
 
+    /// [Specification](https://p.z.cash/halo2-0.1:sinsemilla-constraints?partial).
+    #[allow(non_snake_case)]
+    #[allow(clippy::type_complexity)]
+    pub(super) fn hash_message_with_private_init(
+        &self,
+        region: &mut Region<'_, pallas::Base>,
+        Q: &NonIdentityEccPoint,
+        message: &<Self as SinsemillaInstructions<
+            pallas::Affine,
+            { sinsemilla::K },
+            { sinsemilla::C },
+        >>::Message,
+    ) -> Result<
+        (
+            NonIdentityEccPoint,
+            Vec<Vec<AssignedCell<pallas::Base, pallas::Base>>>,
+        ),
+        Error,
+    > {
+        if !self.config().allow_init_from_private_point {
+            return Err(Error::IllegalHashFromPrivatePoint);
+        }
+
+        let (offset, x_a, y_a) = self.private_q_initialization(region, Q)?;
+
+        let (x_a, y_a, zs_sum) = self.hash_all_pieces(region, offset, message, x_a, y_a)?;
+
+        #[cfg(test)]
+        self.check_hash_result(EccPointQ::PrivatePoint(Q.clone()), message, &x_a, &y_a);
+
+        x_a.value()
+            .error_if_known_and(|x_a| x_a.is_zero_vartime())?;
+        y_a.value()
+            .error_if_known_and(|y_a| y_a.is_zero_vartime())?;
+        Ok((
+            NonIdentityEccPoint::from_coordinates_unchecked(x_a.0, y_a),
+            zs_sum,
+        ))
+    }
+
     #[allow(non_snake_case)]
-    /// Assign the coordinates of the initial public point `Q`
-    /// - `x_Q` in a advice column, and
-    /// - `y_Q` in a fixed column.
+    /// Assign the coordinates of the initial public point `Q`.
     ///
+    /// If allow_init_from_private_point is not set,
     /// | offset | x_A | q_sinsemilla4 | fixed_y_q |
     /// --------------------------------------
     /// |   0    | x_Q |   1           |   y_Q     |
+    ///
+    /// If allow_init_from_private_point is set,
+    /// | offset | x_A | x_P | q_sinsemilla4 |
+    /// --------------------------------------
+    /// |   0    |     | y_Q |               |
+    /// |   1    | x_Q |     |         1     |
     fn public_q_initialization(
         &self,
         region: &mut Region<'_, pallas::Base>,
         Q: pallas::Affine,
     ) -> Result<(usize, X<pallas::Base>, Y<pallas::Base>), Error> {
         let config = self.config().clone();
-        let offset = 0;
+        let mut offset = 0;
 
         // Get the `x`- and `y`-coordinates of the starting `Q` base.
         let x_q = *Q.coordinates().unwrap().x();
@@ -90,7 +133,19 @@ where
 
         // Constrain the initial x_a, lambda_1, lambda_2, x_p using the q_sinsemilla4
         // selector.
-        let y_a: Y<pallas::Base> = {
+        let y_a: Y<pallas::Base> = if config.allow_init_from_private_point {
+            // Enable `q_sinsemilla4` on the second row.
+            config.q_sinsemilla4.enable(region, offset + 1)?;
+            let y_a: AssignedCell<Assigned<pallas::Base>, pallas::Base> = region
+                .assign_advice_from_constant(
+                    || "variable y_q",
+                    config.double_and_add.x_p,
+                    offset,
+                    y_q.into(),
+                )?;
+            offset += 1;
+            y_a.value_field().into()
+        } else {
             // Enable `q_sinsemilla4` on the first row.
             config.q_sinsemilla4.enable(region, offset)?;
             region.assign_fixed(
@@ -106,7 +161,7 @@ where
         // Constrain the initial x_q to equal the x-coordinate of the domain's `Q`.
         let x_a: X<pallas::Base> = {
             let x_a = region.assign_advice_from_constant(
-                || "fixed x_q",
+                || "variable x_q",
                 config.double_and_add.x_a,
                 offset,
                 x_q.into(),
@@ -118,6 +173,46 @@ where
         Ok((offset, x_a, y_a))
     }
 
+    #[allow(non_snake_case)]
+    /// Assign the coordinates of the initial private point `Q`
+    ///
+    /// | offset | x_A | x_P | q_sinsemilla4 |
+    /// --------------------------------------
+    /// |   0    |     | y_Q |               |
+    /// |   1    | x_Q |     |         1     |
+    fn private_q_initialization(
+        &self,
+        region: &mut Region<'_, pallas::Base>,
+        Q: &NonIdentityEccPoint,
+    ) -> Result<(usize, X<pallas::Base>, Y<pallas::Base>), Error> {
+        let config = self.config().clone();
+
+        if !config.allow_init_from_private_point {
+            return Err(Error::IllegalHashFromPrivatePoint);
+        }
+
+        // Assign `x_Q` and `y_Q` in the region and constrain the initial x_a, lambda_1, lambda_2,
+        // x_p, y_Q using the q_sinsemilla4 selector.
+        let y_a: Y<pallas::Base> = {
+            // Enable `q_sinsemilla4` on the second row.
+            config.q_sinsemilla4.enable(region, 1)?;
+            let q_y: AssignedCell<Assigned<pallas::Base>, pallas::Base> = Q.y().into();
+            let y_a: AssignedCell<Assigned<pallas::Base>, pallas::Base> =
+                q_y.copy_advice(|| "fixed y_q", region, config.double_and_add.x_p, 0)?;
+
+            y_a.value_field().into()
+        };
+
+        let x_a: X<pallas::Base> = {
+            let q_x: AssignedCell<Assigned<pallas::Base>, pallas::Base> = Q.x().into();
+            let x_a = q_x.copy_advice(|| "fixed x_q", region, config.double_and_add.x_a, 1)?;
+
+            x_a.into()
+        };
+
+        Ok((1, x_a, y_a))
+    }
+
     #[allow(clippy::type_complexity)]
     /// Hash `message` from the initial point `Q`.
     fn hash_all_pieces(
diff --git a/halo2_gadgets/src/sinsemilla/merkle.rs b/halo2_gadgets/src/sinsemilla/merkle.rs
index e0352cd565..42f5044d71 100644
--- a/halo2_gadgets/src/sinsemilla/merkle.rs
+++ b/halo2_gadgets/src/sinsemilla/merkle.rs
@@ -188,7 +188,10 @@ pub mod tests {
         test_circuits::test_utils::test_against_stored_circuit,
         utilities::{
             i2lebsp,
-            lookup_range_check::{PallasLookupRangeCheck, PallasLookupRangeCheckConfig},
+            lookup_range_check::{
+                PallasLookupRangeCheck, PallasLookupRangeCheck4_5BConfig,
+                PallasLookupRangeCheckConfig,
+            },
             UtilitiesInstructions,
         },
     };
@@ -207,14 +210,14 @@ pub mod tests {
     const MERKLE_DEPTH: usize = 32;
 
     #[derive(Default)]
-    struct MyCircuit<Lookup: PallasLookupRangeCheck> {
+    struct MyMerkleCircuit<Lookup: PallasLookupRangeCheck> {
         leaf: Value<pallas::Base>,
         leaf_pos: Value<u32>,
         merkle_path: Value<[pallas::Base; MERKLE_DEPTH]>,
         _lookup_marker: PhantomData<Lookup>,
     }
 
-    impl<Lookup: PallasLookupRangeCheck> MyCircuit<Lookup> {
+    impl<Lookup: PallasLookupRangeCheck> MyMerkleCircuit<Lookup> {
         fn new(
             leaf: Value<pallas::Base>,
             leaf_pos: Value<u32>,
@@ -229,72 +232,83 @@ pub mod tests {
         }
     }
 
-    type MyConfig<Lookup> = (
+    #[allow(clippy::type_complexity)]
+    fn configure<Lookup: PallasLookupRangeCheck>(
+        meta: &mut ConstraintSystem<pallas::Base>,
+        allow_init_from_private_point: bool,
+    ) -> (
         MerkleConfig<TestHashDomain, TestCommitDomain, TestFixedBases, Lookup>,
         MerkleConfig<TestHashDomain, TestCommitDomain, TestFixedBases, Lookup>,
-    );
+    ) {
+        let advices = [
+            meta.advice_column(),
+            meta.advice_column(),
+            meta.advice_column(),
+            meta.advice_column(),
+            meta.advice_column(),
+            meta.advice_column(),
+            meta.advice_column(),
+            meta.advice_column(),
+            meta.advice_column(),
+            meta.advice_column(),
+        ];
+
+        // Shared fixed column for loading constants
+        let constants = meta.fixed_column();
+        meta.enable_constant(constants);
+
+        // NB: In the actual Action circuit, these fixed columns will be reused
+        // by other chips. For this test, we are creating new fixed columns.
+        let fixed_y_q_1 = meta.fixed_column();
+        let fixed_y_q_2 = meta.fixed_column();
+
+        // Fixed columns for the Sinsemilla generator lookup table
+        let lookup = (
+            meta.lookup_table_column(),
+            meta.lookup_table_column(),
+            meta.lookup_table_column(),
+        );
+
+        let range_check = Lookup::configure(meta, advices[9], lookup.0);
+
+        let sinsemilla_config_1 = SinsemillaChip::configure(
+            meta,
+            advices[5..].try_into().unwrap(),
+            advices[7],
+            fixed_y_q_1,
+            lookup,
+            range_check,
+            allow_init_from_private_point,
+        );
+        let config1 = MerkleChip::configure(meta, sinsemilla_config_1);
+
+        let sinsemilla_config_2 = SinsemillaChip::configure(
+            meta,
+            advices[..5].try_into().unwrap(),
+            advices[2],
+            fixed_y_q_2,
+            lookup,
+            range_check,
+            allow_init_from_private_point,
+        );
+        let config2 = MerkleChip::configure(meta, sinsemilla_config_2);
+
+        (config1, config2)
+    }
 
-    impl<Lookup: PallasLookupRangeCheck> Circuit<pallas::Base> for MyCircuit<Lookup> {
-        type Config = MyConfig<Lookup>;
+    impl<Lookup: PallasLookupRangeCheck> Circuit<pallas::Base> for MyMerkleCircuit<Lookup> {
+        type Config = (
+            MerkleConfig<TestHashDomain, TestCommitDomain, TestFixedBases, Lookup>,
+            MerkleConfig<TestHashDomain, TestCommitDomain, TestFixedBases, Lookup>,
+        );
         type FloorPlanner = SimpleFloorPlanner;
 
         fn without_witnesses(&self) -> Self {
-            MyCircuit::new(Value::default(), Value::default(), Value::default())
+            MyMerkleCircuit::new(Value::default(), Value::default(), Value::default())
         }
 
         fn configure(meta: &mut ConstraintSystem<pallas::Base>) -> Self::Config {
-            let advices = [
-                meta.advice_column(),
-                meta.advice_column(),
-                meta.advice_column(),
-                meta.advice_column(),
-                meta.advice_column(),
-                meta.advice_column(),
-                meta.advice_column(),
-                meta.advice_column(),
-                meta.advice_column(),
-                meta.advice_column(),
-            ];
-
-            // Shared fixed column for loading constants
-            let constants = meta.fixed_column();
-            meta.enable_constant(constants);
-
-            // NB: In the actual Action circuit, these fixed columns will be reused
-            // by other chips. For this test, we are creating new fixed columns.
-            let fixed_y_q_1 = meta.fixed_column();
-            let fixed_y_q_2 = meta.fixed_column();
-
-            // Fixed columns for the Sinsemilla generator lookup table
-            let lookup = (
-                meta.lookup_table_column(),
-                meta.lookup_table_column(),
-                meta.lookup_table_column(),
-            );
-
-            let range_check = Lookup::configure(meta, advices[9], lookup.0);
-
-            let sinsemilla_config_1 = SinsemillaChip::configure(
-                meta,
-                advices[5..].try_into().unwrap(),
-                advices[7],
-                fixed_y_q_1,
-                lookup,
-                range_check,
-            );
-            let config1 = MerkleChip::configure(meta, sinsemilla_config_1);
-
-            let sinsemilla_config_2 = SinsemillaChip::configure(
-                meta,
-                advices[..5].try_into().unwrap(),
-                advices[2],
-                fixed_y_q_2,
-                lookup,
-                range_check,
-            );
-            let config2 = MerkleChip::configure(meta, sinsemilla_config_2);
-
-            (config1, config2)
+            configure::<Lookup>(meta, false)
         }
 
         fn synthesize(
@@ -378,7 +392,7 @@ pub mod tests {
         }
     }
 
-    fn generate_circuit<Lookup: PallasLookupRangeCheck>() -> MyCircuit<Lookup> {
+    fn generate_circuit<Lookup: PallasLookupRangeCheck>() -> MyMerkleCircuit<Lookup> {
         let mut rng = OsRng;
 
         // Choose a random leaf and position
@@ -391,7 +405,7 @@ pub mod tests {
             .collect();
 
         // The root is provided as a public input in the Orchard circuit.
-        MyCircuit::new(
+        MyMerkleCircuit::new(
             Value::known(leaf),
             Value::known(pos),
             Value::known(path.try_into().unwrap()),
@@ -400,7 +414,7 @@ pub mod tests {
 
     #[test]
     fn merkle_chip() {
-        let circuit: MyCircuit<PallasLookupRangeCheckConfig> = generate_circuit();
+        let circuit: MyMerkleCircuit<PallasLookupRangeCheckConfig> = generate_circuit();
 
         let prover = MockProver::run(11, &circuit, vec![]).unwrap();
         assert_eq!(prover.verify(), Ok(()))
@@ -408,7 +422,7 @@ pub mod tests {
 
     #[test]
     fn test_merkle_chip_against_stored_circuit() {
-        let circuit: MyCircuit<PallasLookupRangeCheckConfig> = generate_circuit();
+        let circuit: MyMerkleCircuit<PallasLookupRangeCheckConfig> = generate_circuit();
         test_against_stored_circuit(circuit, "merkle_chip", 4160);
     }
 
@@ -421,14 +435,201 @@ pub mod tests {
         root.fill(&WHITE).unwrap();
         let root = root.titled("MerkleCRH Path", ("sans-serif", 60)).unwrap();
 
-        let circuit: MyCircuit<PallasLookupRangeCheckConfig> = MyCircuit {
+        let circuit: MyMerkleCircuit<PallasLookupRangeCheckConfig> = MyMerkleCircuit {
             leaf: Value::default(),
             leaf_pos: Value::default(),
             merkle_path: Value::default(),
             _lookup_marker: PhantomData,
         };
         halo2_proofs::dev::CircuitLayout::default()
-            .show_labels(false)
+            .show_labels(true)
+            .render(11, &circuit, &root)
+            .unwrap();
+    }
+
+    #[derive(Default)]
+    struct MyMerkleCircuitWithHashFromPrivatePoint<Lookup: PallasLookupRangeCheck> {
+        leaf: Value<pallas::Base>,
+        leaf_pos: Value<u32>,
+        merkle_path: Value<[pallas::Base; MERKLE_DEPTH]>,
+        _lookup_marker: PhantomData<Lookup>,
+    }
+
+    impl<Lookup: PallasLookupRangeCheck> MyMerkleCircuitWithHashFromPrivatePoint<Lookup> {
+        fn new(
+            leaf: Value<pallas::Base>,
+            leaf_pos: Value<u32>,
+            merkle_path: Value<[pallas::Base; MERKLE_DEPTH]>,
+        ) -> Self {
+            Self {
+                leaf,
+                leaf_pos,
+                merkle_path,
+                _lookup_marker: PhantomData,
+            }
+        }
+    }
+
+    impl<Lookup: PallasLookupRangeCheck> Circuit<pallas::Base>
+        for MyMerkleCircuitWithHashFromPrivatePoint<Lookup>
+    {
+        type Config = (
+            MerkleConfig<TestHashDomain, TestCommitDomain, TestFixedBases, Lookup>,
+            MerkleConfig<TestHashDomain, TestCommitDomain, TestFixedBases, Lookup>,
+        );
+        type FloorPlanner = SimpleFloorPlanner;
+
+        fn without_witnesses(&self) -> Self {
+            MyMerkleCircuitWithHashFromPrivatePoint::new(
+                Value::default(),
+                Value::default(),
+                Value::default(),
+            )
+        }
+
+        fn configure(meta: &mut ConstraintSystem<pallas::Base>) -> Self::Config {
+            configure(meta, true)
+        }
+
+        fn synthesize(
+            &self,
+            config: Self::Config,
+            mut layouter: impl Layouter<pallas::Base>,
+        ) -> Result<(), Error> {
+            // Load generator table (shared across both configs)
+            SinsemillaChip::<TestHashDomain, TestCommitDomain, TestFixedBases, Lookup>::load(
+                config.0.sinsemilla_config.clone(),
+                &mut layouter,
+            )?;
+
+            // Construct Merkle chips which will be placed side-by-side in the circuit.
+            let chip_1 = MerkleChip::construct(config.0.clone());
+            let chip_2 = MerkleChip::construct(config.1.clone());
+
+            let leaf = chip_1.load_private(
+                layouter.namespace(|| ""),
+                config.0.cond_swap_config.a(),
+                self.leaf,
+            )?;
+
+            let path = MerklePath {
+                chips: [chip_1, chip_2],
+                domain: TestHashDomain,
+                leaf_pos: self.leaf_pos,
+                path: self.merkle_path,
+            };
+
+            let computed_final_root =
+                path.calculate_root(layouter.namespace(|| "calculate root"), leaf)?;
+
+            self.leaf
+                .zip(self.leaf_pos)
+                .zip(self.merkle_path)
+                .zip(computed_final_root.value())
+                .assert_if_known(|(((leaf, leaf_pos), merkle_path), computed_final_root)| {
+                    // The expected final root
+                    let final_root =
+                        merkle_path
+                            .iter()
+                            .enumerate()
+                            .fold(*leaf, |node, (l, sibling)| {
+                                let l = l as u8;
+                                let (left, right) = if leaf_pos & (1 << l) == 0 {
+                                    (&node, sibling)
+                                } else {
+                                    (sibling, &node)
+                                };
+
+                                let merkle_crh =
+                                    sinsemilla::HashDomain::from_Q(TestHashDomain.Q().into());
+
+                                merkle_crh
+                                    .hash(
+                                        iter::empty()
+                                            .chain(i2lebsp::<10>(l as u64).iter().copied())
+                                            .chain(
+                                                left.to_le_bits()
+                                                    .iter()
+                                                    .by_vals()
+                                                    .take(pallas::Base::NUM_BITS as usize),
+                                            )
+                                            .chain(
+                                                right
+                                                    .to_le_bits()
+                                                    .iter()
+                                                    .by_vals()
+                                                    .take(pallas::Base::NUM_BITS as usize),
+                                            ),
+                                    )
+                                    .unwrap_or(pallas::Base::zero())
+                            });
+
+                    // Check the computed final root against the expected final root.
+                    computed_final_root == &&final_root
+                });
+
+            Ok(())
+        }
+    }
+
+    fn generate_circuit_4_5b<Lookup: PallasLookupRangeCheck>(
+    ) -> MyMerkleCircuitWithHashFromPrivatePoint<Lookup> {
+        let mut rng = OsRng;
+
+        // Choose a random leaf and position
+        let leaf = pallas::Base::random(rng);
+        let pos = rng.next_u32();
+
+        // Choose a path of random inner nodes
+        let path: Vec<_> = (0..(MERKLE_DEPTH))
+            .map(|_| pallas::Base::random(rng))
+            .collect();
+
+        // The root is provided as a public input in the Orchard circuit.
+        MyMerkleCircuitWithHashFromPrivatePoint::new(
+            Value::known(leaf),
+            Value::known(pos),
+            Value::known(path.try_into().unwrap()),
+        )
+    }
+    #[test]
+    fn merkle_with_hash_from_private_point_chip_4_5b() {
+        let circuit: MyMerkleCircuitWithHashFromPrivatePoint<PallasLookupRangeCheck4_5BConfig> =
+            generate_circuit_4_5b();
+
+        let prover = MockProver::run(11, &circuit, vec![]).unwrap();
+        assert_eq!(prover.verify(), Ok(()))
+    }
+
+    #[test]
+    fn test_against_stored_merkle_with_hash_from_private_point_chip_4_5b() {
+        let circuit: MyMerkleCircuitWithHashFromPrivatePoint<PallasLookupRangeCheck4_5BConfig> =
+            generate_circuit_4_5b();
+
+        test_against_stored_circuit(circuit, "merkle_with_private_init_chip_4_5b", 4160);
+    }
+
+    #[cfg(feature = "test-dev-graph")]
+    #[test]
+    fn print_merkle_with_hash_from_private_point_chip_4_5b() {
+        use plotters::prelude::*;
+
+        let root = BitMapBackend::new(
+            "merkle-with-private-init-chip-4_5b-layout.png",
+            (1024, 7680),
+        )
+        .into_drawing_area();
+        root.fill(&WHITE).unwrap();
+        let root = root.titled("MerkleCRH Path", ("sans-serif", 60)).unwrap();
+
+        let circuit: MyMerkleCircuitWithHashFromPrivatePoint<PallasLookupRangeCheck4_5BConfig> =
+            MyMerkleCircuitWithHashFromPrivatePoint::new(
+                Value::default(),
+                Value::default(),
+                Value::default(),
+            );
+        halo2_proofs::dev::CircuitLayout::default()
+            .show_labels(true)
             .render(11, &circuit, &root)
             .unwrap();
     }
diff --git a/halo2_gadgets/src/sinsemilla/merkle/chip.rs b/halo2_gadgets/src/sinsemilla/merkle/chip.rs
index bc076f6c55..c41ec86d53 100644
--- a/halo2_gadgets/src/sinsemilla/merkle/chip.rs
+++ b/halo2_gadgets/src/sinsemilla/merkle/chip.rs
@@ -40,7 +40,8 @@ where
 {
     advices: [Column<Advice>; 5],
     q_decompose: Selector,
-    pub(super) cond_swap_config: CondSwapConfig,
+    /// Configuration for the `CondSwapChip` used by the `MerkleChip`.
+    pub cond_swap_config: CondSwapConfig,
     pub(super) sinsemilla_config: SinsemillaConfig<Hash, Commit, Fixed, Lookup>,
 }
 
@@ -453,6 +454,18 @@ where
         let chip = CondSwapChip::<pallas::Base>::construct(config);
         chip.swap(layouter, pair, swap)
     }
+
+    fn mux(
+        &self,
+        layouter: &mut impl Layouter<pallas::Base>,
+        choice: Self::Var,
+        left: Self::Var,
+        right: Self::Var,
+    ) -> Result<Self::Var, Error> {
+        let config = self.config().cond_swap_config.clone();
+        let chip = CondSwapChip::<pallas::Base>::construct(config);
+        chip.mux(layouter, choice, left, right)
+    }
 }
 
 impl<Hash, Commit, F, Lookup>
@@ -537,6 +550,19 @@ where
         chip.hash_to_point(layouter, Q, message)
     }
 
+    #[allow(non_snake_case)]
+    #[allow(clippy::type_complexity)]
+    fn hash_to_point_with_private_init(
+        &self,
+        layouter: impl Layouter<pallas::Base>,
+        Q: &Self::NonIdentityPoint,
+        message: Self::Message,
+    ) -> Result<(Self::NonIdentityPoint, Vec<Vec<Self::CellValue>>), Error> {
+        let config = self.config().sinsemilla_config.clone();
+        let chip = SinsemillaChip::<Hash, Commit, F, Lookup>::construct(config);
+        chip.hash_to_point_with_private_init(layouter, Q, message)
+    }
+
     fn extract(point: &Self::NonIdentityPoint) -> Self::X {
         SinsemillaChip::<Hash, Commit, F, Lookup>::extract(point)
     }
diff --git a/halo2_gadgets/src/test_circuits/circuit_data/proof_ecc_chip.bin b/halo2_gadgets/src/test_circuits/circuit_data/proof_ecc_chip.bin
index 49272038e5..e30d156d18 100644
Binary files a/halo2_gadgets/src/test_circuits/circuit_data/proof_ecc_chip.bin and b/halo2_gadgets/src/test_circuits/circuit_data/proof_ecc_chip.bin differ
diff --git a/halo2_gadgets/src/test_circuits/circuit_data/proof_ecc_chip_4_5b.bin b/halo2_gadgets/src/test_circuits/circuit_data/proof_ecc_chip_4_5b.bin
new file mode 100644
index 0000000000..b05982b14c
Binary files /dev/null and b/halo2_gadgets/src/test_circuits/circuit_data/proof_ecc_chip_4_5b.bin differ
diff --git a/halo2_gadgets/src/test_circuits/circuit_data/proof_lookup_range_check_4_5b.bin b/halo2_gadgets/src/test_circuits/circuit_data/proof_lookup_range_check_4_5b.bin
new file mode 100644
index 0000000000..a212b5d288
Binary files /dev/null and b/halo2_gadgets/src/test_circuits/circuit_data/proof_lookup_range_check_4_5b.bin differ
diff --git a/halo2_gadgets/src/test_circuits/circuit_data/proof_merkle_with_private_init_chip_4_5b.bin b/halo2_gadgets/src/test_circuits/circuit_data/proof_merkle_with_private_init_chip_4_5b.bin
new file mode 100644
index 0000000000..f1c89256ad
Binary files /dev/null and b/halo2_gadgets/src/test_circuits/circuit_data/proof_merkle_with_private_init_chip_4_5b.bin differ
diff --git a/halo2_gadgets/src/test_circuits/circuit_data/proof_short_range_check_4_5b_case0.bin b/halo2_gadgets/src/test_circuits/circuit_data/proof_short_range_check_4_5b_case0.bin
new file mode 100644
index 0000000000..081b7e641c
Binary files /dev/null and b/halo2_gadgets/src/test_circuits/circuit_data/proof_short_range_check_4_5b_case0.bin differ
diff --git a/halo2_gadgets/src/test_circuits/circuit_data/proof_short_range_check_4_5b_case1.bin b/halo2_gadgets/src/test_circuits/circuit_data/proof_short_range_check_4_5b_case1.bin
new file mode 100644
index 0000000000..c7ad9e0502
Binary files /dev/null and b/halo2_gadgets/src/test_circuits/circuit_data/proof_short_range_check_4_5b_case1.bin differ
diff --git a/halo2_gadgets/src/test_circuits/circuit_data/proof_short_range_check_4_5b_case2.bin b/halo2_gadgets/src/test_circuits/circuit_data/proof_short_range_check_4_5b_case2.bin
new file mode 100644
index 0000000000..85199c2656
Binary files /dev/null and b/halo2_gadgets/src/test_circuits/circuit_data/proof_short_range_check_4_5b_case2.bin differ
diff --git a/halo2_gadgets/src/test_circuits/circuit_data/proof_short_range_check_4_5b_case3.bin b/halo2_gadgets/src/test_circuits/circuit_data/proof_short_range_check_4_5b_case3.bin
new file mode 100644
index 0000000000..fd9a9337cb
Binary files /dev/null and b/halo2_gadgets/src/test_circuits/circuit_data/proof_short_range_check_4_5b_case3.bin differ
diff --git a/halo2_gadgets/src/test_circuits/circuit_data/proof_sinsemilla_with_private_init_chip_4_5b.bin b/halo2_gadgets/src/test_circuits/circuit_data/proof_sinsemilla_with_private_init_chip_4_5b.bin
new file mode 100644
index 0000000000..219518b0e5
Binary files /dev/null and b/halo2_gadgets/src/test_circuits/circuit_data/proof_sinsemilla_with_private_init_chip_4_5b.bin differ
diff --git a/halo2_gadgets/src/test_circuits/circuit_data/vk_ecc_chip.rdata b/halo2_gadgets/src/test_circuits/circuit_data/vk_ecc_chip.rdata
index 5eb13f31e1..295db7c9ce 100644
--- a/halo2_gadgets/src/test_circuits/circuit_data/vk_ecc_chip.rdata
+++ b/halo2_gadgets/src/test_circuits/circuit_data/vk_ecc_chip.rdata
@@ -9878,38 +9878,38 @@ PinnedVerificationKey {
     },
     fixed_commitments: [
         (0x05f5862cad2888855bc3c1843a9eff57b11b592d9eb0e13354256661387f5231, 0x32236b14df85bf5f532a930232cb23a5c56ef7d67aaeed8bcb8fc10ea132cbd6),
-        (0x15e9797cbf96b3ab5f2a21595a5ede5becc665dbf113ae1bd93c5fdd577b3fdd, 0x2276c102a90057ccaac390724cd3e8032eaa0d5c7630b979e2f86354d46044fe),
-        (0x0a3757ecd8df677c56dd731a5988940130dc69375d09185120348b4c24f23f9a, 0x209e7e273d9d9254893a220d7329114fa83eda5d483437612cf638275b4d97f2),
-        (0x337f1898449ead1933c764ae23b48d20f646e528b079ac5cd0743d9ac8e8f063, 0x144e28d47be3a5d90eab8ec65a10b965fd83c7b34f8e4b387154f126efbbf7a7),
-        (0x1ba31dfd22b785ba6080c0a1378f14d104f571d6ab2ac6e650865b27296773db, 0x3c49108055aa494775123cb379dbee7ae628e193cba15827df962722a9a47367),
-        (0x0fdf7430975fbf9361ee6a0eef8e811b838cf64cb042d5988c669010329a8e8c, 0x1292f817500e4ef166ccf48483d061b41372ac7e44ed52b04fbf03da5b04fc79),
-        (0x145d45d803dfd99569e689c02583b2a63f004e25ba23bf9acc17148b42267480, 0x230efff0cad7a66c33eb7462b4b60237619e1287a6c23a122057ef0359d324a6),
-        (0x0ce14fcd6eef4247d75df3d38a918bd8d8c66362629ca8ca697254bf703f1dc9, 0x3cc92942c824cad0a3f16828a29dd42785485b878e459a289db7c377973f2aee),
-        (0x0bd58593a2e2657cd0a228b678a4a7ec04492e20768108383cfdae26613da0b9, 0x090c75a86508be75f6f57e33946c5f9170f40d08e058eb33c8370311fed2868c),
+        (0x0b70f6f89e88131bb5ab28571ca837a4160b51998c6ced04328991a5c3bdcae9, 0x2cee3ef6523c2d36e01981c4794271d53fb47e9c5480b982a2ff3a869144d648),
+        (0x0299c2272092ebe4e08c73d7261afea742a7dc29ddf73ffb941a1c9c19dcf4a1, 0x1f002552d6af287e66e3e9706ecc2a5523f256bf2c6eeb995b4233f80c8c4eeb),
+        (0x28fb28941b09f9878eab1ce7923578b332ca794e3036789016fc6f832e820a37, 0x0e1fa37a3b4298c8df50b830e32ed5ff0ea40a0f8fbb1f9bb4620b8cfdcacf12),
+        (0x37de994248cd221c19cc8a5f354769ecc7e3ac253a4387dbdb8a25934d602225, 0x1c3d47b5ba1cc80af1666afaa42c97043c2b793e48a9c362a398adbf4cbfea78),
+        (0x0f2ff7cc3b300b9e92d481dfc01b84968a21937691ef5bb84cf7b7ac4bb56f8c, 0x010616d33ce6482c9958f2678cea622493de8477527fea737feb8fad11fc2ad6),
+        (0x2c40aa103ee1123360d1e47947f6ebc13ecddfc679514202b33f02a45ede862f, 0x2988d36fc6be72b80ac26c8253f72452e0db13387ab35c86d97cc03991cd9bb2),
+        (0x02fb26d5aa81b4fd2ba3324ae48a27a3e89a90005e4daebfb8004697379f235d, 0x0b484b92ea252f7a58c5bd41cbcdcd9efb932482c902abb4ae3ccb2c90912173),
+        (0x22e2076fb8f40364e7c733c89be2039af2d0976a5a240ef6f05d9b67f5861b8a, 0x1b9f2382c80f971341343fbfd1cfa3a3fa84d70310e7a8fda21a21e20fe9b0a2),
         (0x2bbc94ef7b22aebef24f9a4b0cc1831882548b605171366017d45c3e6fd92075, 0x082b801a6e176239943bfb759fb02138f47a5c8cc4aa7fa0af559fde4e3abd97),
-        (0x1676bb18498c153055ba927b909ef96c5edf8108be253d7a86663f57cd815cd1, 0x0ca79754ab892586fe9df1ae7a23e527bbae042eb89e96747f3befe88c493446),
+        (0x2cec31b1d071d872bd6b1e0660840e27bc6247398c917d5dcb09354d3175fd68, 0x0812dfd78e8ec30827f658cfb64f4f253458d0fcac102af2639295659aaa75a6),
         (0x2e0cad5df5c23f42086784fd79c09b1dff1718dd1700e5157a1592dec21306a8, 0x01cd2a585d4dacd1c4ebb7eccc804a7284792641900d383e9f6f496482c01144),
         (0x2e0cad5df5c23f42086784fd79c09b1dff1718dd1700e5157a1592dec21306a8, 0x01cd2a585d4dacd1c4ebb7eccc804a7284792641900d383e9f6f496482c01144),
-        (0x11ee40a7ae1d9b3bc41a88dd50a69661de280c85222c5567ea3fc06c606558a5, 0x0c6ad5f6fb00347486477aededc92f686f6d079737fd2ca147b7db5ea7381061),
-        (0x33be67428155b1361122a6eddf7e24a7cbeddcce8166dead5d9d5ec6714b25f2, 0x3ec742ac0f64c3ffc4d47bbdeaba0603c55ef74d40065b84b7d738c95f473c79),
+        (0x0a7b6a62e3771fea1024172f8fa5ae0a8b6b63d96dc2cd5794a0d61be93c5230, 0x2664583fab5a71ea152a5dc10512917a6b927ca607008db40abdd06dbbb0aedf),
+        (0x149ab89afd559c4dab808f183828cac2c3c20ce9311ecf7280e03bc9881fd783, 0x2ffd5de1303205066fd7a1540ed79a47baad27532dfc1de2fb708cfde51be867),
         (0x11c136f6ea303c5630240788e7a4db6c3aa321aaeaebecbd473af5ace4d05248, 0x0afe33d04a38bae95c2ec4c4372b2d766369c4c5b10f82dcbd4375a41f838d79),
-        (0x320eb135936ed226a108ccc06bea1ce3ea57dfc2d708fc2ea868ee90330fe22b, 0x15f1174d43608cb597ad1708d2c15e6fcb399219662c75a476b34d51d7ef8f09),
-        (0x2157882bf836df0d37c2fe7b4c03c099712bf0f1f70475cf79a47a269cd05d6e, 0x2b21b30255ccaa0152b483916b033c38c54edaf1ae8987df41d4812affd004fa),
-        (0x0bb1ce75e6be204e3d006a0dd70adbc82e9babae94be0a0fcd0eba958bf78d95, 0x25af91a42e58455509f322ab700f45210e369a79cfc3635db30fa5298d46475b),
+        (0x3e360352e498a60f895216359624fcb58372ea0c8acf99c7ffd5678eb018fbec, 0x2821347d5fbae5e9ef8ea16c9b1014b44916bb73ad287ba747ade3c636dcc4e5),
+        (0x0a3b507e0fe0189f45a2eff60e8fc488da60ce3550391e82f7ec7a1941898c24, 0x3bf48f50d5987b0740eba87e833abb6327c3017dfa065777f3a4f06a555fd12b),
+        (0x11d043ef781774cb85fa85951ad4acfc4e8de1f4c551cfc677e3f8ac6490224c, 0x239a09984bfe5441f05d454b7da0cacc0797978b17bab820cfe538e748053022),
     ],
     permutation: VerifyingKey {
         commitments: [
-            (0x2dfdfeda0fc01492b0884d17870ef7c30a6a59502ead966bb6c072b216ef7b33, 0x206d9ce95f9c1bfb675cd14130a877aa70650b7d1bb5cbf82f3fbfa517c2a19a),
-            (0x001deacc3520d2f07b82695befedaee3c62c595d80d0f406f473ab3e8c362213, 0x316bcc3ef777e42b96c36bbb95b41654dc91b4fbf264e3796267716917e0b63f),
-            (0x142095bd2f3ceed4e0ee7eaae4952488aa314d89f4755b81bc4f4df5e849947a, 0x0e6b8ab5b49069d21ea86f1d320c2959f144a3b1f284231312ea776f337b00b6),
-            (0x20bdfa7afff8a496620db915f9323e348b0ea52ccb0e5ef2a26cc5edfb4a3490, 0x033516b53f25239682efb9f0b6865a1841a2f80e88c08c9431f08906bf2ece95),
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diff --git a/halo2_gadgets/src/test_circuits/circuit_data/vk_ecc_chip_4_5b.rdata b/halo2_gadgets/src/test_circuits/circuit_data/vk_ecc_chip_4_5b.rdata
new file mode 100644
index 0000000000..7214d57d45
--- /dev/null
+++ b/halo2_gadgets/src/test_circuits/circuit_data/vk_ecc_chip_4_5b.rdata
@@ -0,0 +1,10136 @@
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+    ],
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+            (0x1d140d091fff23e0d54048c8ba62096aba0bc38ac86ae071c54f09186ea22686, 0x19aebca6f2256d1e7f412a00f2bfbfda587e39c49baaac1cc61ff4672f51930d),
+            (0x1ab03409dc7f5fb7f1f8b5e3c54859db1b8a61eba30de1196145b07243170034, 0x2f139218f6fa6a266e846721b4c6f2ac03ebfefa35cdcdd2ba7f713677e58d74),
+            (0x07d62e5d650fddae400848ae7eec6073f5a9a032d163f5f24603460404197d4b, 0x0cce86359cc5e284c1427c2c8d65e4f93a26f8757746943497a4dcaaa7e8459c),
+        ],
+    },
+}
diff --git a/halo2_gadgets/src/test_circuits/circuit_data/vk_lookup_range_check_4_5b.rdata b/halo2_gadgets/src/test_circuits/circuit_data/vk_lookup_range_check_4_5b.rdata
new file mode 100644
index 0000000000..ef4e10414c
--- /dev/null
+++ b/halo2_gadgets/src/test_circuits/circuit_data/vk_lookup_range_check_4_5b.rdata
@@ -0,0 +1,465 @@
+PinnedVerificationKey {
+    base_modulus: "0x40000000000000000000000000000000224698fc0994a8dd8c46eb2100000001",
+    scalar_modulus: "0x40000000000000000000000000000000224698fc094cf91b992d30ed00000001",
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+        extended_k: 14,
+        omega: 0x181b50ad5f32119e31cbd395426d600b7a9b88bcaaa1c24eef28545aada17813,
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+        advice_queries: [
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+                    column_type: Advice,
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+        fixed_queries: [
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+                    column_type: Fixed,
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+            (
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+                    column_type: Fixed,
+                },
+                Rotation(
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+            (
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+                    column_type: Fixed,
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+                                                rotation: Rotation(
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+                        rotation: Rotation(
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+                    },
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+                        column_index: 2,
+                        rotation: Rotation(
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+                ],
+            },
+        ],
+        constants: [
+            Column {
+                index: 1,
+                column_type: Fixed,
+            },
+        ],
+        minimum_degree: None,
+    },
+    fixed_commitments: [
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+        (0x0decb727cf32e573604ae3928a761b450d9460f2a7283c8cf88a2b38b796e575, 0x044c0a88bc6aa468e75fc709f9eb21b6e309dd8a6ca62f7a3da86299141ea3a9),
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+        (0x2bbc94ef7b22aebef24f9a4b0cc1831882548b605171366017d45c3e6fd92075, 0x082b801a6e176239943bfb759fb02138f47a5c8cc4aa7fa0af559fde4e3abd97),
+        (0x2bbc94ef7b22aebef24f9a4b0cc1831882548b605171366017d45c3e6fd92075, 0x082b801a6e176239943bfb759fb02138f47a5c8cc4aa7fa0af559fde4e3abd97),
+        (0x2bbc94ef7b22aebef24f9a4b0cc1831882548b605171366017d45c3e6fd92075, 0x082b801a6e176239943bfb759fb02138f47a5c8cc4aa7fa0af559fde4e3abd97),
+    ],
+    permutation: VerifyingKey {
+        commitments: [
+            (0x2477ff33a8671d640d752567c99805c0dda68328ddfff306b085f13be1fd9079, 0x3f7c0fa2ae0b1b7683c39103509711d525eb2dfb73ed21458b77b9d0de222923),
+            (0x1c85783d2128c72103589576bf9d4ed2a509202944a52b48db13848f9431439f, 0x0c363acac4903e6907846abb10920dcf7a2b8c7462ac37f64d0da5cf7f9a643e),
+        ],
+    },
+}
diff --git a/halo2_gadgets/src/test_circuits/circuit_data/vk_merkle_with_private_init_chip_4_5b.rdata b/halo2_gadgets/src/test_circuits/circuit_data/vk_merkle_with_private_init_chip_4_5b.rdata
new file mode 100644
index 0000000000..54d213c0ae
--- /dev/null
+++ b/halo2_gadgets/src/test_circuits/circuit_data/vk_merkle_with_private_init_chip_4_5b.rdata
@@ -0,0 +1,3556 @@
+PinnedVerificationKey {
+    base_modulus: "0x40000000000000000000000000000000224698fc0994a8dd8c46eb2100000001",
+    scalar_modulus: "0x40000000000000000000000000000000224698fc094cf91b992d30ed00000001",
+    domain: PinnedEvaluationDomain {
+        k: 11,
+        extended_k: 14,
+        omega: 0x181b50ad5f32119e31cbd395426d600b7a9b88bcaaa1c24eef28545aada17813,
+    },
+    cs: PinnedConstraintSystem {
+        num_fixed_columns: 17,
+        num_advice_columns: 10,
+        num_instance_columns: 0,
+        num_selectors: 13,
+        gates: [
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+                                            Advice {
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+                                                rotation: Rotation(
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+                                                        Product(
+                                                            Advice {
+                                                                query_index: 15,
+                                                                column_index: 3,
+                                                                rotation: Rotation(
+                                                                    0,
+                                                                ),
+                                                            },
+                                                            Advice {
+                                                                query_index: 15,
+                                                                column_index: 3,
+                                                                rotation: Rotation(
+                                                                    0,
+                                                                ),
+                                                            },
+                                                        ),
+                                                        Negated(
+                                                            Advice {
+                                                                query_index: 12,
+                                                                column_index: 0,
+                                                                rotation: Rotation(
+                                                                    0,
+                                                                ),
+                                                            },
+                                                        ),
+                                                    ),
+                                                    Negated(
+                                                        Advice {
+                                                            query_index: 13,
+                                                            column_index: 1,
+                                                            rotation: Rotation(
+                                                                0,
+                                                            ),
+                                                        },
+                                                    ),
+                                                ),
+                                            ),
+                                        ),
+                                    ),
+                                    0x2000000000000000000000000000000011234c7e04a67c8dcc96987680000001,
+                                ),
+                                Negated(
+                                    Product(
+                                        Advice {
+                                            query_index: 15,
+                                            column_index: 3,
+                                            rotation: Rotation(
+                                                0,
+                                            ),
+                                        },
+                                        Sum(
+                                            Advice {
+                                                query_index: 12,
+                                                column_index: 0,
+                                                rotation: Rotation(
+                                                    0,
+                                                ),
+                                            },
+                                            Negated(
+                                                Advice {
+                                                    query_index: 13,
+                                                    column_index: 1,
+                                                    rotation: Rotation(
+                                                        0,
+                                                    ),
+                                                },
+                                            ),
+                                        ),
+                                    ),
+                                ),
+                            ),
+                        ),
+                        Scaled(
+                            Sum(
+                                Constant(
+                                    0x0000000000000000000000000000000000000000000000000000000000000001,
+                                ),
+                                Negated(
+                                    Fixed {
+                                        query_index: 12,
+                                        column_index: 14,
+                                        rotation: Rotation(
+                                            0,
+                                        ),
+                                    },
+                                ),
+                            ),
+                            0x2f0f40c2f152a01c9caf66298493d5d0944a041c2e65ba0117c24f76bf8e6483,
+                        ),
+                    ),
+                ],
+                table_expressions: [
+                    Fixed {
+                        query_index: 1,
+                        column_index: 3,
+                        rotation: Rotation(
+                            0,
+                        ),
+                    },
+                    Fixed {
+                        query_index: 4,
+                        column_index: 4,
+                        rotation: Rotation(
+                            0,
+                        ),
+                    },
+                    Fixed {
+                        query_index: 5,
+                        column_index: 5,
+                        rotation: Rotation(
+                            0,
+                        ),
+                    },
+                ],
+            },
+        ],
+        constants: [
+            Column {
+                index: 0,
+                column_type: Fixed,
+            },
+        ],
+        minimum_degree: None,
+    },
+    fixed_commitments: [
+        (0x249fbac2ba4de5583a815cbd8b910c508d3c8471e095d10200319f6602a934a2, 0x1c1efe5b72b19e20d97d5250950473fa70a1e76e1a39dc7ee92dc85155a42db2),
+        (0x2bbc94ef7b22aebef24f9a4b0cc1831882548b605171366017d45c3e6fd92075, 0x082b801a6e176239943bfb759fb02138f47a5c8cc4aa7fa0af559fde4e3abd97),
+        (0x2bbc94ef7b22aebef24f9a4b0cc1831882548b605171366017d45c3e6fd92075, 0x082b801a6e176239943bfb759fb02138f47a5c8cc4aa7fa0af559fde4e3abd97),
+        (0x3887a29815d3a28d43c453904169e07def787baca6c9452505d2de78dd44b86f, 0x2f95e59472ab087725d62deea9c3b406ae490eff7c0318269d6f2b025934cc70),
+        (0x285e16cead69d5fef9441d4d4ac695fe8880120d209e1e631d8a4bc5f55e90e6, 0x3700fd2dfcfac5b2cb6d33c60ac79dfac3fb95518cd0aa97c75a51d62281f2c1),
+        (0x2dc11f4f0000da15c59cd395ea5f32b4e79783d958c290c821c89e0bcb50eaf1, 0x2c53e12ce0a2022516ef31f0224b0bc1b119861078358f78d245ba5d2f180099),
+        (0x0decb727cf32e573604ae3928a761b450d9460f2a7283c8cf88a2b38b796e575, 0x044c0a88bc6aa468e75fc709f9eb21b6e309dd8a6ca62f7a3da86299141ea3a9),
+        (0x090bd25cdb6d94445abb0e0725b39d9ddf81f52e25b9498b899337909f632e1f, 0x14d931683e644cb249223f6f48e4d06d87967206ad72749f0d1e9c3a19093300),
+        (0x2deefb04be65a9065b35f1a1df2d574771b7a2a3ada6ef400518861651bdac47, 0x267ea152faf5a64734664e21e4bd714522b5d9834d063baa1228f8886cb08d67),
+        (0x0274af29c9eeba93aa3aa9638ea66a151027dd56de2ff7ec7d4f053967bab5a9, 0x35396f0f27eac3e5714c265d4b960d5a09b60046a716a1023d61ba24b1b66798),
+        (0x2bbc94ef7b22aebef24f9a4b0cc1831882548b605171366017d45c3e6fd92075, 0x082b801a6e176239943bfb759fb02138f47a5c8cc4aa7fa0af559fde4e3abd97),
+        (0x2bbc94ef7b22aebef24f9a4b0cc1831882548b605171366017d45c3e6fd92075, 0x082b801a6e176239943bfb759fb02138f47a5c8cc4aa7fa0af559fde4e3abd97),
+        (0x0274af29c9eeba93aa3aa9638ea66a151027dd56de2ff7ec7d4f053967bab5a9, 0x35396f0f27eac3e5714c265d4b960d5a09b60046a716a1023d61ba24b1b66798),
+        (0x242e515d0c247f0325e9290699210c561b393979218abf784f78ff3ed8cc9844, 0x051963b7b298e4201fd2d8a11096e758726675c740fa0262710b51be2bf6f88f),
+        (0x071acaca7c01c1cce3358b2aed6248bd72e2a6361b564ca9e7f7e4bae53cda04, 0x2ce822c9848da7a2af1572933ebd8f97955b389bdf12da84692b6846c8eb40ca),
+        (0x111742d100329820af821bfd47af29d0757c9178b0333694b2c03127033d7f2a, 0x0234ec5001d0d2f2116c10414abba4bff0955151d60db379c529bc9c5f1380d6),
+        (0x171e04e53efcb8d89d355756d04ad508d889605f5657d71fbd21345103ee0c0f, 0x1d0e14532cf6a20ffac8815827506247ccb2f2f9a9f39b79b8d16c88758a25ab),
+    ],
+    permutation: VerifyingKey {
+        commitments: [
+            (0x27d6e6e33d79d434b55e51a491b141ede5ecc4eb0c161a981ada1c2600c5bb71, 0x13ce7840b2a4a9845b5f6907fc4b83c7ee9c55c243861d0291cecf5c1f971d0d),
+            (0x04f6d28e6cdf93f68052a9a02dd64328b3906a730a82e84dbbfb161992b2e335, 0x3972e3c82d8fa20b99a98fd97483cf6236ce7202959107bfb1ad3cac29834141),
+            (0x00a8a177f35c265a5389f8762c37ba10b693648e27de734bf4d1d0b85d468fa4, 0x1c8e0913f09647fd23722719a8ee6e0ad88063162974df03a6f143478afeeeea),
+            (0x1f383528e8ad7b0bef57816d2b69f86a903920305d54ed4db0cb9f60e86c6570, 0x0ab31e4091e544be4d0b533dc084701111abc0b80b4234cee0f62807eb8954f8),
+            (0x32e2a0a9a45ac27fef75f34af5db629ec5b6948eee6f89466f293f621222146e, 0x09116815944e5fbb66eee196cb9dbb4eed79343eca1e8a70057574f0b99ad9e3),
+            (0x044d5a85c9f195e1be81dceb88e22c4513176482da2091a2c8be54414eb16c06, 0x0949f75659baae8328fa34f32d3bf1557a759f202dc5e14562439092acffbf9a),
+            (0x2ef67a4cc9101882c47dad1f0a48589406de8c8e4c4affb1c6fdfe575dd93540, 0x26bf1fe779fb01a54b46b3cf6f548aec904a2dcf841fcec0ac87f3109800c46d),
+            (0x27920d52e14715e3cf90f71901d4506eb5ff8ce823a6ec553d15c73dce1c12d6, 0x33cbceb19a235530d09a3caa72473618bbedb2b075551da1b67b3ad6f2e4ad99),
+            (0x02346520bb3508a53e299ec6a8c3843de3ac95c7c8eb01965f5aefe42226361a, 0x254d36cecf44efb7f70e655c144716fe7418c6c7698bb7419e66d9f34f916a4c),
+            (0x2c5949c614ab0738119a4881ad5a3f8d8a6c4e23d11d7dc82e145dcc9e9ad967, 0x0fb23cec4fe3480016fa82a7ce5e3338e81edd25e8c277289d869fa4067fcb4a),
+            (0x12a957011628382875af60bc012654739784a349c0ab2e213324d08ab686664d, 0x1ec4612e46a373400b1861c04a996b00f19d094dbd834fffbc5a36e5d77ff064),
+        ],
+    },
+}
diff --git a/halo2_gadgets/src/test_circuits/circuit_data/vk_short_range_check_4_5b_case0.rdata b/halo2_gadgets/src/test_circuits/circuit_data/vk_short_range_check_4_5b_case0.rdata
new file mode 100644
index 0000000000..9a349719b1
--- /dev/null
+++ b/halo2_gadgets/src/test_circuits/circuit_data/vk_short_range_check_4_5b_case0.rdata
@@ -0,0 +1,465 @@
+PinnedVerificationKey {
+    base_modulus: "0x40000000000000000000000000000000224698fc0994a8dd8c46eb2100000001",
+    scalar_modulus: "0x40000000000000000000000000000000224698fc094cf91b992d30ed00000001",
+    domain: PinnedEvaluationDomain {
+        k: 11,
+        extended_k: 14,
+        omega: 0x181b50ad5f32119e31cbd395426d600b7a9b88bcaaa1c24eef28545aada17813,
+    },
+    cs: PinnedConstraintSystem {
+        num_fixed_columns: 8,
+        num_advice_columns: 1,
+        num_instance_columns: 0,
+        num_selectors: 5,
+        gates: [
+            Product(
+                Fixed {
+                    query_index: 7,
+                    column_index: 7,
+                    rotation: Rotation(
+                        0,
+                    ),
+                },
+                Sum(
+                    Product(
+                        Scaled(
+                            Advice {
+                                query_index: 2,
+                                column_index: 0,
+                                rotation: Rotation(
+                                    -1,
+                                ),
+                            },
+                            0x0000000000000000000000000000000000000000000000000000000000000400,
+                        ),
+                        Advice {
+                            query_index: 1,
+                            column_index: 0,
+                            rotation: Rotation(
+                                1,
+                            ),
+                        },
+                    ),
+                    Negated(
+                        Advice {
+                            query_index: 0,
+                            column_index: 0,
+                            rotation: Rotation(
+                                0,
+                            ),
+                        },
+                    ),
+                ),
+            ),
+        ],
+        advice_queries: [
+            (
+                Column {
+                    index: 0,
+                    column_type: Advice,
+                },
+                Rotation(
+                    0,
+                ),
+            ),
+            (
+                Column {
+                    index: 0,
+                    column_type: Advice,
+                },
+                Rotation(
+                    1,
+                ),
+            ),
+            (
+                Column {
+                    index: 0,
+                    column_type: Advice,
+                },
+                Rotation(
+                    -1,
+                ),
+            ),
+        ],
+        instance_queries: [],
+        fixed_queries: [
+            (
+                Column {
+                    index: 1,
+                    column_type: Fixed,
+                },
+                Rotation(
+                    0,
+                ),
+            ),
+            (
+                Column {
+                    index: 0,
+                    column_type: Fixed,
+                },
+                Rotation(
+                    0,
+                ),
+            ),
+            (
+                Column {
+                    index: 2,
+                    column_type: Fixed,
+                },
+                Rotation(
+                    0,
+                ),
+            ),
+            (
+                Column {
+                    index: 3,
+                    column_type: Fixed,
+                },
+                Rotation(
+                    0,
+                ),
+            ),
+            (
+                Column {
+                    index: 4,
+                    column_type: Fixed,
+                },
+                Rotation(
+                    0,
+                ),
+            ),
+            (
+                Column {
+                    index: 5,
+                    column_type: Fixed,
+                },
+                Rotation(
+                    0,
+                ),
+            ),
+            (
+                Column {
+                    index: 6,
+                    column_type: Fixed,
+                },
+                Rotation(
+                    0,
+                ),
+            ),
+            (
+                Column {
+                    index: 7,
+                    column_type: Fixed,
+                },
+                Rotation(
+                    0,
+                ),
+            ),
+        ],
+        permutation: Argument {
+            columns: [
+                Column {
+                    index: 1,
+                    column_type: Fixed,
+                },
+                Column {
+                    index: 0,
+                    column_type: Advice,
+                },
+            ],
+        },
+        lookups: [
+            Argument {
+                input_expressions: [
+                    Product(
+                        Fixed {
+                            query_index: 3,
+                            column_index: 3,
+                            rotation: Rotation(
+                                0,
+                            ),
+                        },
+                        Sum(
+                            Product(
+                                Sum(
+                                    Constant(
+                                        0x0000000000000000000000000000000000000000000000000000000000000001,
+                                    ),
+                                    Negated(
+                                        Sum(
+                                            Constant(
+                                                0x0000000000000000000000000000000000000000000000000000000000000001,
+                                            ),
+                                            Negated(
+                                                Product(
+                                                    Sum(
+                                                        Constant(
+                                                            0x0000000000000000000000000000000000000000000000000000000000000001,
+                                                        ),
+                                                        Negated(
+                                                            Fixed {
+                                                                query_index: 5,
+                                                                column_index: 5,
+                                                                rotation: Rotation(
+                                                                    0,
+                                                                ),
+                                                            },
+                                                        ),
+                                                    ),
+                                                    Sum(
+                                                        Constant(
+                                                            0x0000000000000000000000000000000000000000000000000000000000000001,
+                                                        ),
+                                                        Negated(
+                                                            Fixed {
+                                                                query_index: 6,
+                                                                column_index: 6,
+                                                                rotation: Rotation(
+                                                                    0,
+                                                                ),
+                                                            },
+                                                        ),
+                                                    ),
+                                                ),
+                                            ),
+                                        ),
+                                    ),
+                                ),
+                                Sum(
+                                    Product(
+                                        Fixed {
+                                            query_index: 4,
+                                            column_index: 4,
+                                            rotation: Rotation(
+                                                0,
+                                            ),
+                                        },
+                                        Sum(
+                                            Advice {
+                                                query_index: 0,
+                                                column_index: 0,
+                                                rotation: Rotation(
+                                                    0,
+                                                ),
+                                            },
+                                            Negated(
+                                                Scaled(
+                                                    Advice {
+                                                        query_index: 1,
+                                                        column_index: 0,
+                                                        rotation: Rotation(
+                                                            1,
+                                                        ),
+                                                    },
+                                                    0x0000000000000000000000000000000000000000000000000000000000000400,
+                                                ),
+                                            ),
+                                        ),
+                                    ),
+                                    Product(
+                                        Sum(
+                                            Constant(
+                                                0x0000000000000000000000000000000000000000000000000000000000000001,
+                                            ),
+                                            Negated(
+                                                Fixed {
+                                                    query_index: 4,
+                                                    column_index: 4,
+                                                    rotation: Rotation(
+                                                        0,
+                                                    ),
+                                                },
+                                            ),
+                                        ),
+                                        Advice {
+                                            query_index: 0,
+                                            column_index: 0,
+                                            rotation: Rotation(
+                                                0,
+                                            ),
+                                        },
+                                    ),
+                                ),
+                            ),
+                            Product(
+                                Sum(
+                                    Constant(
+                                        0x0000000000000000000000000000000000000000000000000000000000000001,
+                                    ),
+                                    Negated(
+                                        Product(
+                                            Sum(
+                                                Constant(
+                                                    0x0000000000000000000000000000000000000000000000000000000000000001,
+                                                ),
+                                                Negated(
+                                                    Fixed {
+                                                        query_index: 5,
+                                                        column_index: 5,
+                                                        rotation: Rotation(
+                                                            0,
+                                                        ),
+                                                    },
+                                                ),
+                                            ),
+                                            Sum(
+                                                Constant(
+                                                    0x0000000000000000000000000000000000000000000000000000000000000001,
+                                                ),
+                                                Negated(
+                                                    Fixed {
+                                                        query_index: 6,
+                                                        column_index: 6,
+                                                        rotation: Rotation(
+                                                            0,
+                                                        ),
+                                                    },
+                                                ),
+                                            ),
+                                        ),
+                                    ),
+                                ),
+                                Advice {
+                                    query_index: 0,
+                                    column_index: 0,
+                                    rotation: Rotation(
+                                        0,
+                                    ),
+                                },
+                            ),
+                        ),
+                    ),
+                    Product(
+                        Product(
+                            Fixed {
+                                query_index: 3,
+                                column_index: 3,
+                                rotation: Rotation(
+                                    0,
+                                ),
+                            },
+                            Sum(
+                                Constant(
+                                    0x0000000000000000000000000000000000000000000000000000000000000001,
+                                ),
+                                Negated(
+                                    Product(
+                                        Sum(
+                                            Constant(
+                                                0x0000000000000000000000000000000000000000000000000000000000000001,
+                                            ),
+                                            Negated(
+                                                Fixed {
+                                                    query_index: 5,
+                                                    column_index: 5,
+                                                    rotation: Rotation(
+                                                        0,
+                                                    ),
+                                                },
+                                            ),
+                                        ),
+                                        Sum(
+                                            Constant(
+                                                0x0000000000000000000000000000000000000000000000000000000000000001,
+                                            ),
+                                            Negated(
+                                                Fixed {
+                                                    query_index: 6,
+                                                    column_index: 6,
+                                                    rotation: Rotation(
+                                                        0,
+                                                    ),
+                                                },
+                                            ),
+                                        ),
+                                    ),
+                                ),
+                            ),
+                        ),
+                        Sum(
+                            Product(
+                                Fixed {
+                                    query_index: 6,
+                                    column_index: 6,
+                                    rotation: Rotation(
+                                        0,
+                                    ),
+                                },
+                                Constant(
+                                    0x0000000000000000000000000000000000000000000000000000000000000005,
+                                ),
+                            ),
+                            Product(
+                                Product(
+                                    Sum(
+                                        Constant(
+                                            0x0000000000000000000000000000000000000000000000000000000000000001,
+                                        ),
+                                        Negated(
+                                            Fixed {
+                                                query_index: 6,
+                                                column_index: 6,
+                                                rotation: Rotation(
+                                                    0,
+                                                ),
+                                            },
+                                        ),
+                                    ),
+                                    Fixed {
+                                        query_index: 5,
+                                        column_index: 5,
+                                        rotation: Rotation(
+                                            0,
+                                        ),
+                                    },
+                                ),
+                                Constant(
+                                    0x0000000000000000000000000000000000000000000000000000000000000004,
+                                ),
+                            ),
+                        ),
+                    ),
+                ],
+                table_expressions: [
+                    Fixed {
+                        query_index: 1,
+                        column_index: 0,
+                        rotation: Rotation(
+                            0,
+                        ),
+                    },
+                    Fixed {
+                        query_index: 2,
+                        column_index: 2,
+                        rotation: Rotation(
+                            0,
+                        ),
+                    },
+                ],
+            },
+        ],
+        constants: [
+            Column {
+                index: 1,
+                column_type: Fixed,
+            },
+        ],
+        minimum_degree: None,
+    },
+    fixed_commitments: [
+        (0x3887a29815d3a28d43c453904169e07def787baca6c9452505d2de78dd44b86f, 0x2f95e59472ab087725d62deea9c3b406ae490eff7c0318269d6f2b025934cc70),
+        (0x27c2b8ac34f64d4d18eada2b41dc9d8c30409eb866c7e4d539204fadcb696826, 0x0881a9c2e2e4a577b5a951254bd508dedafa5f1c7be905aaf4fbac60971bc9f7),
+        (0x0decb727cf32e573604ae3928a761b450d9460f2a7283c8cf88a2b38b796e575, 0x044c0a88bc6aa468e75fc709f9eb21b6e309dd8a6ca62f7a3da86299141ea3a9),
+        (0x0980acedb0fd2c02718002125bf80f969175d1f90d1320f9f3d5e2ac584e0212, 0x235c651fefd49e387ef9a6293a428810994974d218c4757ca3f9c0971ae25767),
+        (0x2bbc94ef7b22aebef24f9a4b0cc1831882548b605171366017d45c3e6fd92075, 0x082b801a6e176239943bfb759fb02138f47a5c8cc4aa7fa0af559fde4e3abd97),
+        (0x2bbc94ef7b22aebef24f9a4b0cc1831882548b605171366017d45c3e6fd92075, 0x082b801a6e176239943bfb759fb02138f47a5c8cc4aa7fa0af559fde4e3abd97),
+        (0x2bbc94ef7b22aebef24f9a4b0cc1831882548b605171366017d45c3e6fd92075, 0x082b801a6e176239943bfb759fb02138f47a5c8cc4aa7fa0af559fde4e3abd97),
+        (0x28d1c924953bc53f232465943d25fd085f85727ae4e2d26249207da1e59559e2, 0x184d19e00f109c4dacf8026c6e0fc4181178b32a236828047c46d9d61eab90fa),
+    ],
+    permutation: VerifyingKey {
+        commitments: [
+            (0x3b7b93d7540327328791a14933d8f3345abd943eb35b67a8a4bd2eb72e2a707a, 0x26fff57a6fa3c01dd0d739fc56479303b4302d6baa6f1da06f4013419c40e10c),
+            (0x3fdf7a15a0d2378accc11f704f4ba4a487b542ace83c7f5a8551b569a3b9a380, 0x34253920878d15d6fe1b5198c31bdd670d32e81621e9fcd569d582e596ed0af5),
+        ],
+    },
+}
diff --git a/halo2_gadgets/src/test_circuits/circuit_data/vk_short_range_check_4_5b_case1.rdata b/halo2_gadgets/src/test_circuits/circuit_data/vk_short_range_check_4_5b_case1.rdata
new file mode 100644
index 0000000000..9ab4b44532
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diff --git a/halo2_gadgets/src/test_circuits/circuit_data/vk_short_range_check_4_5b_case2.rdata b/halo2_gadgets/src/test_circuits/circuit_data/vk_short_range_check_4_5b_case2.rdata
new file mode 100644
index 0000000000..88010f3034
--- /dev/null
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new file mode 100644
index 0000000000..7e9d891fe0
--- /dev/null
+++ b/halo2_gadgets/src/test_circuits/circuit_data/vk_short_range_check_4_5b_case3.rdata
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+}
diff --git a/halo2_gadgets/src/test_circuits/circuit_data/vk_sinsemilla_with_private_init_chip_4_5b.rdata b/halo2_gadgets/src/test_circuits/circuit_data/vk_sinsemilla_with_private_init_chip_4_5b.rdata
new file mode 100644
index 0000000000..a5c7971e8f
--- /dev/null
+++ b/halo2_gadgets/src/test_circuits/circuit_data/vk_sinsemilla_with_private_init_chip_4_5b.rdata
@@ -0,0 +1,12042 @@
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+                                rotation: Rotation(
+                                    0,
+                                ),
+                            },
+                            Sum(
+                                Scaled(
+                                    Product(
+                                        Sum(
+                                            Advice {
+                                                query_index: 13,
+                                                column_index: 8,
+                                                rotation: Rotation(
+                                                    0,
+                                                ),
+                                            },
+                                            Advice {
+                                                query_index: 0,
+                                                column_index: 9,
+                                                rotation: Rotation(
+                                                    0,
+                                                ),
+                                            },
+                                        ),
+                                        Sum(
+                                            Advice {
+                                                query_index: 10,
+                                                column_index: 5,
+                                                rotation: Rotation(
+                                                    0,
+                                                ),
+                                            },
+                                            Negated(
+                                                Sum(
+                                                    Sum(
+                                                        Product(
+                                                            Advice {
+                                                                query_index: 13,
+                                                                column_index: 8,
+                                                                rotation: Rotation(
+                                                                    0,
+                                                                ),
+                                                            },
+                                                            Advice {
+                                                                query_index: 13,
+                                                                column_index: 8,
+                                                                rotation: Rotation(
+                                                                    0,
+                                                                ),
+                                                            },
+                                                        ),
+                                                        Negated(
+                                                            Advice {
+                                                                query_index: 10,
+                                                                column_index: 5,
+                                                                rotation: Rotation(
+                                                                    0,
+                                                                ),
+                                                            },
+                                                        ),
+                                                    ),
+                                                    Negated(
+                                                        Advice {
+                                                            query_index: 11,
+                                                            column_index: 6,
+                                                            rotation: Rotation(
+                                                                0,
+                                                            ),
+                                                        },
+                                                    ),
+                                                ),
+                                            ),
+                                        ),
+                                    ),
+                                    0x2000000000000000000000000000000011234c7e04a67c8dcc96987680000001,
+                                ),
+                                Negated(
+                                    Product(
+                                        Advice {
+                                            query_index: 13,
+                                            column_index: 8,
+                                            rotation: Rotation(
+                                                0,
+                                            ),
+                                        },
+                                        Sum(
+                                            Advice {
+                                                query_index: 10,
+                                                column_index: 5,
+                                                rotation: Rotation(
+                                                    0,
+                                                ),
+                                            },
+                                            Negated(
+                                                Advice {
+                                                    query_index: 11,
+                                                    column_index: 6,
+                                                    rotation: Rotation(
+                                                        0,
+                                                    ),
+                                                },
+                                            ),
+                                        ),
+                                    ),
+                                ),
+                            ),
+                        ),
+                        Scaled(
+                            Sum(
+                                Constant(
+                                    0x0000000000000000000000000000000000000000000000000000000000000001,
+                                ),
+                                Negated(
+                                    Fixed {
+                                        query_index: 21,
+                                        column_index: 21,
+                                        rotation: Rotation(
+                                            0,
+                                        ),
+                                    },
+                                ),
+                            ),
+                            0x2f0f40c2f152a01c9caf66298493d5d0944a041c2e65ba0117c24f76bf8e6483,
+                        ),
+                    ),
+                ],
+                table_expressions: [
+                    Fixed {
+                        query_index: 1,
+                        column_index: 1,
+                        rotation: Rotation(
+                            0,
+                        ),
+                    },
+                    Fixed {
+                        query_index: 13,
+                        column_index: 10,
+                        rotation: Rotation(
+                            0,
+                        ),
+                    },
+                    Fixed {
+                        query_index: 14,
+                        column_index: 11,
+                        rotation: Rotation(
+                            0,
+                        ),
+                    },
+                ],
+            },
+        ],
+        constants: [
+            Column {
+                index: 0,
+                column_type: Fixed,
+            },
+        ],
+        minimum_degree: None,
+    },
+    fixed_commitments: [
+        (0x1f52e1e5a4228f86b85706beb3a38f9b8f83178b92572875e97e5d57526e59df, 0x2415bfeebebfed5e1766260161912596cc82afd7e6f6906257ae5ebb3b0ff1ef),
+        (0x3887a29815d3a28d43c453904169e07def787baca6c9452505d2de78dd44b86f, 0x2f95e59472ab087725d62deea9c3b406ae490eff7c0318269d6f2b025934cc70),
+        (0x06f460c587c896f1f8284619af6d9cd7ed55ed416c6777336afab0facd2d9125, 0x0132b10308dfc29176a0ac2fd00846e89b4b098238b2f743d048460e5a853b07),
+        (0x30e332088e023adfd8d0a9c54ca15a08d83f6e0d5516cb51f32e9bb956bbc3a7, 0x15bef2896e132c2c52ab59d768d48d3cf7dde3e2b643953823edc4bd9977b287),
+        (0x3480efa9a7eaa4b42dfb9b2ce4dd7bc0a1e65ce9d04ac0b3471fcd6d5be7fdc8, 0x322895945a2c9b6fa91a2de6641244b71edeca0b11e324c086cc6fab3095c5b2),
+        (0x0a8b0aee714c5d0e341b1eaad1433658b97c1c2c832f6655b9646995394606cb, 0x0bb14512ec0b828353d9ce1b9c77c1a0fc8e2175a8c8ddfdaa8d8f217e90c72e),
+        (0x3b9a1e88e1b3fe02332edb76470b277083fc874c7b6f655b304fb6b8d5e008dd, 0x0f5cfb93dc67d5bc1e09e5ee6899e9ded07c7ab77524af9d0c438863453ff9b2),
+        (0x1cb469f53e7ebad3a3b9ecc6462d33c2463b02e1284ad8bdbaeb72727dce51c8, 0x0bdd0b9dd063b882e3ece64aa7235a7d77cae8233899da13fe9dd3028d7aadce),
+        (0x34be76efca554fa14ceb1a064ccddee241100284831edcef978f45c1e56550e4, 0x2d298f9126ea0bc22d54dd408f09e1c8f70287c13b95f2825a314e3be43078b6),
+        (0x1076db76ed054a8ea26563331cfb04eb688169c04ca370d09f1aae0e6fbc8787, 0x0c87eca3dec43f90e5a64cbb22c1d38de880e1e8b7156fc378ffdc99e09f7c1f),
+        (0x285e16cead69d5fef9441d4d4ac695fe8880120d209e1e631d8a4bc5f55e90e6, 0x3700fd2dfcfac5b2cb6d33c60ac79dfac3fb95518cd0aa97c75a51d62281f2c1),
+        (0x2dc11f4f0000da15c59cd395ea5f32b4e79783d958c290c821c89e0bcb50eaf1, 0x2c53e12ce0a2022516ef31f0224b0bc1b119861078358f78d245ba5d2f180099),
+        (0x0decb727cf32e573604ae3928a761b450d9460f2a7283c8cf88a2b38b796e575, 0x044c0a88bc6aa468e75fc709f9eb21b6e309dd8a6ca62f7a3da86299141ea3a9),
+        (0x21f3275c835d322344502eedaf3c1e2ca34db968c3353b7de0eecff447a21be8, 0x278a7d6512910d39b926c80e89400e99255b5d587e2471107a88b24cc7c4ee6f),
+        (0x3965d4503e0eed848f7c7ad1ae773a7de6b370bf62d4df90a6c058e2a476492c, 0x0e9b5713800ebced2820c9361a0c4640e79e3631a52952f76b479bc0f31883e7),
+        (0x38a3ca5237cf04483e05dff22994bd83e45eb713563584f198750f1da538eeab, 0x38f39efa2eaa6dd41a613671e7801f703b210c66ef4fb7ede78e27ebf08bb9c1),
+        (0x2bbc94ef7b22aebef24f9a4b0cc1831882548b605171366017d45c3e6fd92075, 0x082b801a6e176239943bfb759fb02138f47a5c8cc4aa7fa0af559fde4e3abd97),
+        (0x2bbc94ef7b22aebef24f9a4b0cc1831882548b605171366017d45c3e6fd92075, 0x082b801a6e176239943bfb759fb02138f47a5c8cc4aa7fa0af559fde4e3abd97),
+        (0x2bbc94ef7b22aebef24f9a4b0cc1831882548b605171366017d45c3e6fd92075, 0x082b801a6e176239943bfb759fb02138f47a5c8cc4aa7fa0af559fde4e3abd97),
+        (0x2bbc94ef7b22aebef24f9a4b0cc1831882548b605171366017d45c3e6fd92075, 0x082b801a6e176239943bfb759fb02138f47a5c8cc4aa7fa0af559fde4e3abd97),
+        (0x17049dd198dc17b5b2aeb7cd09b1c0ad03c7ca0689fb99a926139386d1f4e000, 0x391ede5a3a78c7f62e3a129a98aabe4db8380688d687518c65b64371df756402),
+        (0x105bbc575ca99f6c075ab242b699f535debf8f03e0e833025157bc35ab44af77, 0x0a922af92400d875e7f8c90d4ae1f8be8563f81ad28a5f6ffef820d59bc70833),
+        (0x3eed4304a320487e0b521e143d01ed5922c314321155b047e53b45a70a072213, 0x35f2e91b7ce9721484ee1c8e72bbcb8977fd14be04f8d49455e4c92f74393f09),
+        (0x027700746c221118d0eb0485be60557dbc62dc43af198036bc252de8066279ac, 0x3267381e56b1d520243f38c64f4c053f821c2ad41db7a800d8677eb3c028d5af),
+        (0x2bbc94ef7b22aebef24f9a4b0cc1831882548b605171366017d45c3e6fd92075, 0x082b801a6e176239943bfb759fb02138f47a5c8cc4aa7fa0af559fde4e3abd97),
+        (0x2bbc94ef7b22aebef24f9a4b0cc1831882548b605171366017d45c3e6fd92075, 0x082b801a6e176239943bfb759fb02138f47a5c8cc4aa7fa0af559fde4e3abd97),
+        (0x22c9b6e0b62b7775054fa64071365d777431be72465060c054703f84c5c32de3, 0x15c1ad5239edd6e2633e684b843008ccda0192ae2f66e20833125790b02a1678),
+        (0x3c7076b9739b9cea554d62821bfa67a54c7dd3979f9417c3114c0263782d5c89, 0x2df85200c36ffbe48f8d8b54a6efca4927f6b5817035a7237809551b4467e046),
+    ],
+    permutation: VerifyingKey {
+        commitments: [
+            (0x3d1e00a1c0981547bb7438092484560637f53d3103c4f66a03bda4af4cddddcc, 0x13c17470d54d91215fbe83820094e338c9a014b7dd81081edcb5403dc7edefce),
+            (0x34015e25137a9a8ea4feb8af77f10d27fc6a04e952823f7e2343a749419df2ce, 0x2c6589a5343037dd14d33821800626bba96354283fb05011f27dcda6a6b860fb),
+            (0x3d8021f09ab26b5fa92940f17f6a3ffd249a13d7371339270160dd507e3ec47a, 0x357c17b35411a2576fe6d0ebfaae899c1dec623ec4612e7431b4e9244e16eee3),
+            (0x3b81a179faa15892c0ed66bf1cf419deabd4f8798e3a0ed8f51ec89041c95307, 0x22cd77db9da943d2cea2407ad4c7f8650d2397d2d37f88e0a3f58f842496d1a7),
+            (0x05712c1b5b9e1c9a059b060fde47ced732935f9892983116d73c48623d6545f7, 0x25ff6fc718c7cb5b141601930356df691c76ec71e4b7a1ea6edcbe76ef2851c8),
+            (0x21edbe5a41ef39292b9aaf767a6426dcbf948cd24fcbe5a637afa0622a5227ac, 0x1e1c4594ce213b7f358587417c410dadf716f673edd6f1c6ab083f08e8db88e8),
+            (0x053904bdde8cfead3b517bb4f6ded3e699f8b94ca6156a9dd2f92a2a05a7ec5a, 0x16753ff97c0d82ff586bb7a07bf7f27a92df90b3617fa5e75d4f55c3b0ef8711),
+            (0x2b7676e04e415972383e37be8fab18cf38185a04adc2693593defc741ed9489a, 0x02e764be452909551da84a24e3da0b2dfa97b6b2d141621d45c347a67f325dc2),
+            (0x2e69a4ecbac635b206d31d1353a1afd24cc01b280767cde458d60d256a92205a, 0x31e620808b4ce9af3cc60b5e28110aed182e4933b8296eb735ce75b2d11981ae),
+            (0x290d388d6512a677de8ac781b2eb99537b723088687c110ec58d633d79e3d0f0, 0x12a2bfbce2d31213582d68ff7b3a82782fa1319af0dddcaa4a44a7110d1c0fe1),
+            (0x313658b9ba4845eff11f69955b2b2e75721d00dbe81c333e1d6dd463df87a7ba, 0x162f9a55a73e2d8c7bee4f765ecea5d1dbacdc5b5810f938250c2ec2c6cd83c6),
+        ],
+    },
+}
diff --git a/halo2_gadgets/src/utilities/cond_swap.rs b/halo2_gadgets/src/utilities/cond_swap.rs
index d733e6c4fb..2ba5f5ade8 100644
--- a/halo2_gadgets/src/utilities/cond_swap.rs
+++ b/halo2_gadgets/src/utilities/cond_swap.rs
@@ -1,16 +1,18 @@
-//! Gadget and chip for a conditional swap utility.
+//! Gadget and chip for conditional swap and mux utilities.
 
 use super::{bool_check, ternary, UtilitiesInstructions};
 
+use crate::ecc::chip::{EccPoint, NonIdentityEccPoint};
 use group::ff::{Field, PrimeField};
 use halo2_proofs::{
     circuit::{AssignedCell, Chip, Layouter, Value},
-    plonk::{Advice, Column, ConstraintSystem, Constraints, Error, Selector},
+    plonk::{self, Advice, Column, ConstraintSystem, Constraints, Error, Selector},
     poly::Rotation,
 };
+use pasta_curves::pallas;
 use std::marker::PhantomData;
 
-/// Instructions for a conditional swap gadget.
+/// Instructions for conditional swap and mux gadgets.
 pub trait CondSwapInstructions<F: Field>: UtilitiesInstructions<F> {
     #[allow(clippy::type_complexity)]
     /// Given an input pair (a,b) and a `swap` boolean flag, returns
@@ -24,6 +26,16 @@ pub trait CondSwapInstructions<F: Field>: UtilitiesInstructions<F> {
         pair: (Self::Var, Value<F>),
         swap: Value<bool>,
     ) -> Result<(Self::Var, Self::Var), Error>;
+
+    /// Given an input `(choice, left, right)` where `choice` is a boolean flag,
+    /// returns `left` if `choice` is not set and `right` if `choice` is set.
+    fn mux(
+        &self,
+        layouter: &mut impl Layouter<F>,
+        choice: Self::Var,
+        left: Self::Var,
+        right: Self::Var,
+    ) -> Result<Self::Var, Error>;
 }
 
 /// A chip implementing a conditional swap.
@@ -121,6 +133,97 @@ impl<F: PrimeField> CondSwapInstructions<F> for CondSwapChip<F> {
             },
         )
     }
+
+    fn mux(
+        &self,
+        layouter: &mut impl Layouter<F>,
+        choice: Self::Var,
+        left: Self::Var,
+        right: Self::Var,
+    ) -> Result<Self::Var, Error> {
+        let config = self.config();
+
+        layouter.assign_region(
+            || "mux",
+            |mut region| {
+                // Enable `q_swap` selector
+                config.q_swap.enable(&mut region, 0)?;
+
+                // Copy in `a` value
+                let left = left.copy_advice(|| "copy left", &mut region, config.a, 0)?;
+
+                // Copy in `b` value
+                let right = right.copy_advice(|| "copy right", &mut region, config.b, 0)?;
+
+                // Copy `choice` value
+                let choice = choice.copy_advice(|| "copy choice", &mut region, config.swap, 0)?;
+
+                let a_swapped = left
+                    .value()
+                    .zip(right.value())
+                    .zip(choice.value())
+                    .map(|((left, right), choice)| {
+                        if *choice == F::from(0_u64) {
+                            left
+                        } else {
+                            right
+                        }
+                    })
+                    .cloned();
+                let b_swapped = left
+                    .value()
+                    .zip(right.value())
+                    .zip(choice.value())
+                    .map(|((left, right), choice)| {
+                        if *choice == F::from(0_u64) {
+                            right
+                        } else {
+                            left
+                        }
+                    })
+                    .cloned();
+
+                region.assign_advice(|| "out b_swap", self.config.b_swapped, 0, || b_swapped)?;
+                region.assign_advice(|| "out a_swap", self.config.a_swapped, 0, || a_swapped)
+            },
+        )
+    }
+}
+
+impl CondSwapChip<pallas::Base> {
+    /// Given an input `(choice, left, right)` where `choice` is a boolean flag and `left` and `right` are `EccPoint`,
+    /// returns `left` if `choice` is not set and `right` if `choice` is set.
+    pub fn mux_on_points(
+        &self,
+        mut layouter: impl Layouter<pallas::Base>,
+        choice: &AssignedCell<pallas::Base, pallas::Base>,
+        left: &EccPoint,
+        right: &EccPoint,
+    ) -> Result<EccPoint, plonk::Error> {
+        let x_cell = self.mux(&mut layouter, choice.clone(), left.x(), right.x())?;
+        let y_cell = self.mux(&mut layouter, choice.clone(), left.y(), right.y())?;
+        Ok(EccPoint::from_coordinates_unchecked(
+            x_cell.into(),
+            y_cell.into(),
+        ))
+    }
+
+    /// Given an input `(choice, left, right)` where `choice` is a boolean flag and `left` and `right` are
+    /// `NonIdentityEccPoint`, returns `left` if `choice` is not set and `right` if `choice` is set.
+    pub fn mux_on_non_identity_points(
+        &self,
+        mut layouter: impl Layouter<pallas::Base>,
+        choice: &AssignedCell<pallas::Base, pallas::Base>,
+        left: &NonIdentityEccPoint,
+        right: &NonIdentityEccPoint,
+    ) -> Result<NonIdentityEccPoint, plonk::Error> {
+        let x_cell = self.mux(&mut layouter, choice.clone(), left.x(), right.x())?;
+        let y_cell = self.mux(&mut layouter, choice.clone(), left.y(), right.y())?;
+        Ok(NonIdentityEccPoint::from_coordinates_unchecked(
+            x_cell.into(),
+            y_cell.into(),
+        ))
+    }
 }
 
 impl<F: PrimeField> CondSwapChip<F> {
@@ -194,8 +297,13 @@ impl<F: PrimeField> CondSwapChip<F> {
 
 #[cfg(test)]
 mod tests {
-    use super::super::UtilitiesInstructions;
-    use super::{CondSwapChip, CondSwapConfig, CondSwapInstructions};
+    use crate::utilities::{
+        cond_swap::{CondSwapChip, CondSwapConfig, CondSwapInstructions},
+        lookup_range_check::{
+            PallasLookupRangeCheck, PallasLookupRangeCheck4_5BConfig, PallasLookupRangeCheckConfig,
+        },
+        UtilitiesInstructions,
+    };
     use group::ff::{Field, PrimeField};
     use halo2_proofs::{
         circuit::{Layouter, SimpleFloorPlanner, Value},
@@ -204,17 +312,18 @@ mod tests {
     };
     use pasta_curves::pallas::Base;
     use rand::rngs::OsRng;
+    use std::marker::PhantomData;
 
     #[test]
     fn cond_swap() {
         #[derive(Default)]
-        struct MyCircuit<F: Field> {
+        struct MyCondSwapCircuit<F: Field> {
             a: Value<F>,
             b: Value<F>,
             swap: Value<bool>,
         }
 
-        impl<F: PrimeField> Circuit<F> for MyCircuit<F> {
+        impl<F: PrimeField> Circuit<F> for MyCondSwapCircuit<F> {
             type Config = CondSwapConfig;
             type FloorPlanner = SimpleFloorPlanner;
 
@@ -271,7 +380,7 @@ mod tests {
 
         // Test swap case
         {
-            let circuit: MyCircuit<Base> = MyCircuit {
+            let circuit: MyCondSwapCircuit<Base> = MyCondSwapCircuit {
                 a: Value::known(Base::random(rng)),
                 b: Value::known(Base::random(rng)),
                 swap: Value::known(true),
@@ -282,7 +391,7 @@ mod tests {
 
         // Test non-swap case
         {
-            let circuit: MyCircuit<Base> = MyCircuit {
+            let circuit: MyCondSwapCircuit<Base> = MyCondSwapCircuit {
                 a: Value::known(Base::random(rng)),
                 b: Value::known(Base::random(rng)),
                 swap: Value::known(false),
@@ -291,4 +400,245 @@ mod tests {
             assert_eq!(prover.verify(), Ok(()));
         }
     }
+
+    #[test]
+    fn test_mux() {
+        use crate::ecc::{
+            chip::{EccChip, EccConfig},
+            tests::TestFixedBases,
+            NonIdentityPoint, Point,
+        };
+
+        use group::{cofactor::CofactorCurveAffine, Curve, Group};
+        use halo2_proofs::{
+            circuit::{Layouter, SimpleFloorPlanner, Value},
+            dev::MockProver,
+            plonk::{Advice, Circuit, Column, ConstraintSystem, Error, Instance},
+        };
+        use pasta_curves::{arithmetic::CurveAffine, pallas, EpAffine};
+
+        use rand::rngs::OsRng;
+
+        #[derive(Clone, Debug)]
+        pub struct MuxConfig<Lookup: PallasLookupRangeCheck> {
+            primary: Column<Instance>,
+            advice: Column<Advice>,
+            cond_swap_config: CondSwapConfig,
+            ecc_config: EccConfig<TestFixedBases, Lookup>,
+        }
+
+        #[derive(Default)]
+        struct MyMuxCircuit<Lookup: PallasLookupRangeCheck> {
+            left_point: Value<EpAffine>,
+            right_point: Value<EpAffine>,
+            choice: Value<pallas::Base>,
+            _lookup_marker: PhantomData<Lookup>,
+        }
+
+        impl<Lookup: PallasLookupRangeCheck> MyMuxCircuit<Lookup> {
+            fn new(
+                left_point: Value<EpAffine>,
+                right_point: Value<EpAffine>,
+                choice: Value<pallas::Base>,
+            ) -> Self {
+                MyMuxCircuit {
+                    left_point,
+                    right_point,
+                    choice,
+                    _lookup_marker: PhantomData,
+                }
+            }
+        }
+
+        impl<Lookup: PallasLookupRangeCheck> Circuit<pallas::Base> for MyMuxCircuit<Lookup> {
+            type Config = MuxConfig<Lookup>;
+            type FloorPlanner = SimpleFloorPlanner;
+
+            fn without_witnesses(&self) -> Self {
+                MyMuxCircuit::<Lookup>::new(Value::default(), Value::default(), Value::default())
+            }
+
+            fn configure(meta: &mut ConstraintSystem<pallas::Base>) -> Self::Config {
+                let advices = [
+                    meta.advice_column(),
+                    meta.advice_column(),
+                    meta.advice_column(),
+                    meta.advice_column(),
+                    meta.advice_column(),
+                    meta.advice_column(),
+                    meta.advice_column(),
+                    meta.advice_column(),
+                    meta.advice_column(),
+                    meta.advice_column(),
+                ];
+
+                for advice in advices.iter() {
+                    meta.enable_equality(*advice);
+                }
+
+                // Instance column used for public inputs
+                let primary = meta.instance_column();
+                meta.enable_equality(primary);
+
+                let cond_swap_config =
+                    CondSwapChip::configure(meta, advices[0..5].try_into().unwrap());
+
+                let table_idx = meta.lookup_table_column();
+
+                let lagrange_coeffs = [
+                    meta.fixed_column(),
+                    meta.fixed_column(),
+                    meta.fixed_column(),
+                    meta.fixed_column(),
+                    meta.fixed_column(),
+                    meta.fixed_column(),
+                    meta.fixed_column(),
+                    meta.fixed_column(),
+                ];
+                meta.enable_constant(lagrange_coeffs[0]);
+
+                let range_check = Lookup::configure(meta, advices[9], table_idx);
+
+                let ecc_config = EccChip::<TestFixedBases, Lookup>::configure(
+                    meta,
+                    advices,
+                    lagrange_coeffs,
+                    range_check,
+                );
+
+                MuxConfig {
+                    primary,
+                    advice: advices[0],
+                    cond_swap_config,
+                    ecc_config,
+                }
+            }
+
+            fn synthesize(
+                &self,
+                config: Self::Config,
+                mut layouter: impl Layouter<pallas::Base>,
+            ) -> Result<(), Error> {
+                // Construct a CondSwap chip
+                let cond_swap_chip = CondSwapChip::construct(config.cond_swap_config);
+
+                // Construct an ECC chip
+                let ecc_chip = EccChip::<TestFixedBases, Lookup>::construct(config.ecc_config);
+
+                // Assign choice
+                let choice = layouter.assign_region(
+                    || "load private",
+                    |mut region| {
+                        region.assign_advice(|| "load private", config.advice, 0, || self.choice)
+                    },
+                )?;
+
+                // Test mux on non identity points
+                // Assign left point
+                let left_non_identity_point = NonIdentityPoint::new(
+                    ecc_chip.clone(),
+                    layouter.namespace(|| "left point"),
+                    self.left_point.map(|left_point| left_point),
+                )?;
+
+                // Assign right point
+                let right_non_identity_point = NonIdentityPoint::new(
+                    ecc_chip.clone(),
+                    layouter.namespace(|| "right point"),
+                    self.right_point.map(|right_point| right_point),
+                )?;
+
+                // Apply mux
+                let result_non_identity_point = cond_swap_chip.mux_on_non_identity_points(
+                    layouter.namespace(|| "MUX"),
+                    &choice,
+                    left_non_identity_point.inner(),
+                    right_non_identity_point.inner(),
+                )?;
+
+                // Check equality with instance
+                layouter.constrain_instance(
+                    result_non_identity_point.x().cell(),
+                    config.primary,
+                    0,
+                )?;
+                layouter.constrain_instance(
+                    result_non_identity_point.y().cell(),
+                    config.primary,
+                    1,
+                )?;
+
+                // Test mux on points
+                // Assign left point
+                let left_point = Point::new(
+                    ecc_chip.clone(),
+                    layouter.namespace(|| "left point"),
+                    self.left_point.map(|left_point| left_point),
+                )?;
+
+                // Assign right point
+                let right_point = Point::new(
+                    ecc_chip,
+                    layouter.namespace(|| "right point"),
+                    self.right_point.map(|right_point| right_point),
+                )?;
+
+                // Apply mux
+                let result = cond_swap_chip.mux_on_points(
+                    layouter.namespace(|| "MUX"),
+                    &choice,
+                    left_point.inner(),
+                    right_point.inner(),
+                )?;
+
+                // Check equality with instance
+                layouter.constrain_instance(result.x().cell(), config.primary, 0)?;
+                layouter.constrain_instance(result.y().cell(), config.primary, 1)
+            }
+        }
+
+        impl<Lookup: PallasLookupRangeCheck> MyMuxCircuit<Lookup> {
+            fn test_mux_circuits() {
+                // Test different circuits
+                let mut circuits = vec![];
+                let mut instances = vec![];
+                for choice in [false, true] {
+                    let choice_value = if choice {
+                        pallas::Base::one()
+                    } else {
+                        pallas::Base::zero()
+                    };
+                    let left_point = pallas::Point::random(OsRng).to_affine();
+                    let right_point = pallas::Point::random(OsRng).to_affine();
+                    circuits.push(MyMuxCircuit::<Lookup> {
+                        left_point: Value::known(left_point),
+                        right_point: Value::known(right_point),
+                        choice: Value::known(choice_value),
+                        _lookup_marker: PhantomData,
+                    });
+                    let expected_output = if choice { right_point } else { left_point };
+                    let (expected_x, expected_y) = if bool::from(expected_output.is_identity()) {
+                        (pallas::Base::zero(), pallas::Base::zero())
+                    } else {
+                        let coords = expected_output.coordinates().unwrap();
+                        (*coords.x(), *coords.y())
+                    };
+                    instances.push([[expected_x, expected_y]]);
+                }
+
+                for (circuit, instance) in circuits.iter().zip(instances.iter()) {
+                    let prover = MockProver::<pallas::Base>::run(
+                        5,
+                        circuit,
+                        instance.iter().map(|p| p.to_vec()).collect(),
+                    )
+                    .unwrap();
+                    assert_eq!(prover.verify(), Ok(()));
+                }
+            }
+        }
+
+        MyMuxCircuit::<PallasLookupRangeCheckConfig>::test_mux_circuits();
+        MyMuxCircuit::<PallasLookupRangeCheck4_5BConfig>::test_mux_circuits();
+    }
 }
diff --git a/halo2_gadgets/src/utilities/lookup_range_check.rs b/halo2_gadgets/src/utilities/lookup_range_check.rs
index 9a9266f62f..57b9a0ae9f 100644
--- a/halo2_gadgets/src/utilities/lookup_range_check.rs
+++ b/halo2_gadgets/src/utilities/lookup_range_check.rs
@@ -10,9 +10,9 @@ use std::{convert::TryInto, fmt::Debug, marker::PhantomData};
 
 use ff::PrimeFieldBits;
 
+use crate::sinsemilla::{chip::generator_table::GeneratorTableConfig, primitives as sinsemilla};
 use pasta_curves::pallas;
-
-use crate::sinsemilla::primitives as sinsemilla;
+use sinsemilla::SINSEMILLA_S;
 
 use super::*;
 
@@ -93,12 +93,19 @@ pub trait LookupRangeCheck<F: PrimeFieldBits, const K: usize>: Eq + Copy + Debug
     where
         Self: Sized;
 
+    /// Load the generator table into the circuit.
+    fn load(
+        &self,
+        generator_table_config: &GeneratorTableConfig,
+        layouter: &mut impl Layouter<pallas::Base>,
+    ) -> Result<(), Error>;
+
     #[cfg(test)]
     /// Fill `table_idx` and `table_range_check_tag`.
     ///
     /// This is only used in testing for now, since the Sinsemilla chip provides a pre-loaded table
     /// in the Orchard context.
-    fn load(&self, layouter: &mut impl Layouter<F>) -> Result<(), Error>;
+    fn load_range_check_table(&self, layouter: &mut impl Layouter<F>) -> Result<(), Error>;
 
     /// Constrain `x` to be a NUM_BITS word.
     ///
@@ -379,11 +386,52 @@ impl<F: PrimeFieldBits, const K: usize> LookupRangeCheck<F, K> for LookupRangeCh
         config
     }
 
+    /// Load the generator table into the circuit.
+    ///
+    /// | table_idx |     table_x    |     table_y    |
+    /// ------------------------------------------------
+    /// |     0     |    X(S\[0\])   |    Y(S\[0\])   |
+    /// |     1     |    X(S\[1\])   |    Y(S\[1\])   |
+    /// |    ...    |      ...       |       ...      |
+    /// |   2^10-1  | X(S\[2^10-1\]) | Y(S\[2^10-1\]) |
+    fn load(
+        &self,
+        generator_table_config: &GeneratorTableConfig,
+        layouter: &mut impl Layouter<pallas::Base>,
+    ) -> Result<(), Error> {
+        layouter.assign_table(
+            || "generator_table",
+            |mut table| {
+                for (index, (x, y)) in SINSEMILLA_S.iter().enumerate() {
+                    table.assign_cell(
+                        || "table_idx",
+                        generator_table_config.table_idx,
+                        index,
+                        || Value::known(pallas::Base::from(index as u64)),
+                    )?;
+                    table.assign_cell(
+                        || "table_x",
+                        generator_table_config.table_x,
+                        index,
+                        || Value::known(*x),
+                    )?;
+                    table.assign_cell(
+                        || "table_y",
+                        generator_table_config.table_y,
+                        index,
+                        || Value::known(*y),
+                    )?;
+                }
+                Ok(())
+            },
+        )
+    }
+
     #[cfg(test)]
     // Fill `table_idx` and `table_range_check_tag`.
     // This is only used in testing for now, since the Sinsemilla chip provides a pre-loaded table
     // in the Orchard context.
-    fn load(&self, layouter: &mut impl Layouter<F>) -> Result<(), Error> {
+    fn load_range_check_table(&self, layouter: &mut impl Layouter<F>) -> Result<(), Error> {
         layouter.assign_table(
             || "table_idx",
             |mut table| {
@@ -453,6 +501,363 @@ pub type PallasLookupRangeCheckConfig = LookupRangeCheckConfig<pallas::Base, { s
 
 impl PallasLookupRangeCheck for PallasLookupRangeCheckConfig {}
 
+/// Configuration that provides methods for an efficient 4, 5, and 10-bit lookup range check.
+#[derive(Eq, PartialEq, Debug, Clone, Copy)]
+pub struct LookupRangeCheck4_5BConfig<F: PrimeFieldBits, const K: usize> {
+    base: LookupRangeCheckConfig<F, K>,
+    q_range_check_4: Selector,
+    q_range_check_5: Selector,
+    table_range_check_tag: TableColumn,
+}
+
+impl<F: PrimeFieldBits, const K: usize> LookupRangeCheck4_5BConfig<F, K> {
+    /// The `running_sum` advice column breaks the field element into `K`-bit
+    /// words. It is used to construct the input expression to the lookup
+    /// argument.
+    ///
+    /// The `table_idx` fixed column contains values from [0..2^K). Looking up
+    /// a value in `table_idx` constrains it to be within this range. The table
+    /// can be loaded outside this helper.
+    ///
+    /// # Side effects
+    ///
+    /// Both the `running_sum` and `constants` columns will be equality-enabled.
+    pub fn configure_with_tag(
+        meta: &mut ConstraintSystem<F>,
+        running_sum: Column<Advice>,
+        table_idx: TableColumn,
+        table_range_check_tag: TableColumn,
+    ) -> Self {
+        meta.enable_equality(running_sum);
+
+        let q_lookup = meta.complex_selector();
+        let q_running = meta.complex_selector();
+        let q_bitshift = meta.selector();
+        let q_range_check_4 = meta.complex_selector();
+        let q_range_check_5 = meta.complex_selector();
+
+        let config = LookupRangeCheck4_5BConfig {
+            base: LookupRangeCheckConfig {
+                q_lookup,
+                q_running,
+                q_bitshift,
+                running_sum,
+                table_idx,
+                _marker: PhantomData,
+            },
+            q_range_check_4,
+            q_range_check_5,
+            table_range_check_tag,
+        };
+
+        // https://p.z.cash/halo2-0.1:decompose-combined-lookup
+        meta.lookup(|meta| {
+            let q_lookup = meta.query_selector(config.base.q_lookup);
+            let q_running = meta.query_selector(config.base.q_running);
+            let q_range_check_4 = meta.query_selector(config.q_range_check_4);
+            let q_range_check_5 = meta.query_selector(config.q_range_check_5);
+
+            let z_cur = meta.query_advice(config.base.running_sum, Rotation::cur());
+            let one = Expression::Constant(F::ONE);
+
+            // In the case of a running sum decomposition, we recover the word from
+            // the difference of the running sums:
+            //    z_i = 2^{K}⋅z_{i + 1} + a_i
+            // => a_i = z_i - 2^{K}⋅z_{i + 1}
+            let running_sum_lookup = {
+                let running_sum_word = {
+                    let z_next = meta.query_advice(config.base.running_sum, Rotation::next());
+                    z_cur.clone() - z_next * F::from(1 << K)
+                };
+
+                q_running.clone() * running_sum_word
+            };
+
+            // In the short range check, the word is directly witnessed.
+            let short_lookup = {
+                let short_word = z_cur.clone();
+                let q_short = one.clone() - q_running;
+
+                q_short * short_word
+            };
+
+            // q_range_check is equal to
+            // - 1 if q_range_check_4 = 1 or q_range_check_5 = 1
+            // - 0 otherwise
+            let q_range_check = one.clone()
+                - (one.clone() - q_range_check_4.clone()) * (one.clone() - q_range_check_5.clone());
+
+            // num_bits is equal to
+            // - 5 if q_range_check_5 = 1
+            // - 4 if q_range_check_4 = 1 and q_range_check_5 = 0
+            // - 0 otherwise
+            let num_bits = q_range_check_5.clone() * Expression::Constant(F::from(5_u64))
+                + (one.clone() - q_range_check_5)
+                    * q_range_check_4
+                    * Expression::Constant(F::from(4_u64));
+
+            // Combine the running sum, short lookups and optimized range checks:
+            vec![
+                (
+                    q_lookup.clone()
+                        * ((one - q_range_check.clone()) * (running_sum_lookup + short_lookup)
+                            + q_range_check.clone() * z_cur),
+                    config.base.table_idx,
+                ),
+                (
+                    q_lookup * q_range_check * num_bits,
+                    config.table_range_check_tag,
+                ),
+            ]
+        });
+
+        // For short lookups, check that the word has been shifted by the correct number of bits.
+        // https://p.z.cash/halo2-0.1:decompose-short-lookup
+        meta.create_gate("Short lookup bitshift", |meta| {
+            let q_bitshift = meta.query_selector(config.base.q_bitshift);
+            let word = meta.query_advice(config.base.running_sum, Rotation::prev());
+            let shifted_word = meta.query_advice(config.base.running_sum, Rotation::cur());
+            let inv_two_pow_s = meta.query_advice(config.base.running_sum, Rotation::next());
+
+            let two_pow_k = F::from(1 << K);
+
+            // shifted_word = word * 2^{K-s}
+            //              = word * 2^K * inv_two_pow_s
+            Constraints::with_selector(
+                q_bitshift,
+                Some(word * two_pow_k * inv_two_pow_s - shifted_word),
+            )
+        });
+
+        config
+    }
+}
+
+impl<F: PrimeFieldBits, const K: usize> LookupRangeCheck<F, K>
+    for LookupRangeCheck4_5BConfig<F, K>
+{
+    fn config(&self) -> &LookupRangeCheckConfig<F, K> {
+        &self.base
+    }
+
+    fn configure(
+        meta: &mut ConstraintSystem<F>,
+        running_sum: Column<Advice>,
+        table_idx: TableColumn,
+    ) -> Self {
+        let table_range_check_tag = meta.lookup_table_column();
+        Self::configure_with_tag(meta, running_sum, table_idx, table_range_check_tag)
+    }
+
+    /// Load the generator table into the circuit.
+    ///
+    /// | table_idx |     table_x    |     table_y    | table_range_check_tag |
+    /// -------------------------------------------------------------------
+    /// |     0     |    X(S\[0\])   |    Y(S\[0\])   |           0           |
+    /// |     1     |    X(S\[1\])   |    Y(S\[1\])   |           0           |
+    /// |    ...    |      ...       |       ...      |           0           |
+    /// |   2^10-1  | X(S\[2^10-1\]) | Y(S\[2^10-1\]) |           0           |
+    /// |     0     |    X(S\[0\])   |    Y(S\[0\])   |           4           |
+    /// |     1     |    X(S\[1\])   |    Y(S\[1\])   |           4           |
+    /// |    ...    |       ...      |       ...      |           4           |
+    /// |   2^4-1   | X(S\[2^4-1\])  | Y(S\[2^4-1\])  |           4           |
+    /// |     0     |    X(S\[0\])   |    Y(S\[0\])   |           5           |
+    /// |     1     |    X(S\[1\])   |    Y(S\[1\])   |           5           |
+    /// |    ...    |       ...      |       ...      |           5           |
+    /// |   2^5-1   | X(S\[2^5-1\])  | Y(S\[2^5-1\])  |           5           |
+    ///
+    /// # Rationale
+    ///
+    /// While it is possible to avoid duplicated rows by using tags and storing them in an advice
+    /// column, as done in the spread table of the SHA-256 gadget, applying this technique to the
+    /// range check lookup table would significantly increase complexity.
+    ///
+    /// Indeed, in the range check lookup tables, tags are currently computed on the fly and are not
+    /// stored in advice columns. Adopting the no duplicated rows approach would require modifying
+    /// the lookup chip to include an advice column for tags and updating the public API accordingly.
+    /// This tag column would need to be populated each time a range check lookup is performed.
+    /// Additionally, the current lookup range check implementation involves combinations of
+    /// multiple lookups, further complicating this approach.
+    ///
+    /// The performance benefit would be minimal: our current table has 1072 rows (2^10 + 2^4 + 2^5),
+    /// and switching to the no duplicated-rows method would reduce it only slightly to 1024 rows
+    /// (2^10), while adding more logic and infrastructure to manage the tags.
+    ///
+    /// Therefore, we retain the simpler duplicated-rows format for clarity and maintainability.
+    fn load(
+        &self,
+        generator_table_config: &GeneratorTableConfig,
+        layouter: &mut impl Layouter<pallas::Base>,
+    ) -> Result<(), Error> {
+        layouter.assign_table(
+            || "generator_table",
+            |mut table| {
+                for (index, (x, y)) in SINSEMILLA_S.iter().enumerate() {
+                    table.assign_cell(
+                        || "table_idx",
+                        generator_table_config.table_idx,
+                        index,
+                        || Value::known(pallas::Base::from(index as u64)),
+                    )?;
+                    table.assign_cell(
+                        || "table_x",
+                        generator_table_config.table_x,
+                        index,
+                        || Value::known(*x),
+                    )?;
+                    table.assign_cell(
+                        || "table_y",
+                        generator_table_config.table_y,
+                        index,
+                        || Value::known(*y),
+                    )?;
+
+                    table.assign_cell(
+                        || "table_range_check_tag",
+                        self.table_range_check_tag,
+                        index,
+                        || Value::known(pallas::Base::zero()),
+                    )?;
+                    if index < (1 << 4) {
+                        let new_index = index + (1 << sinsemilla::K);
+                        table.assign_cell(
+                            || "table_idx",
+                            generator_table_config.table_idx,
+                            new_index,
+                            || Value::known(pallas::Base::from(index as u64)),
+                        )?;
+                        table.assign_cell(
+                            || "table_x",
+                            generator_table_config.table_x,
+                            new_index,
+                            || Value::known(*x),
+                        )?;
+                        table.assign_cell(
+                            || "table_y",
+                            generator_table_config.table_y,
+                            new_index,
+                            || Value::known(*y),
+                        )?;
+                        table.assign_cell(
+                            || "table_range_check_tag",
+                            self.table_range_check_tag,
+                            new_index,
+                            || Value::known(pallas::Base::from(4_u64)),
+                        )?;
+                    }
+                    if index < (1 << 5) {
+                        let new_index = index + (1 << 10) + (1 << 4);
+                        table.assign_cell(
+                            || "table_idx",
+                            generator_table_config.table_idx,
+                            new_index,
+                            || Value::known(pallas::Base::from(index as u64)),
+                        )?;
+                        table.assign_cell(
+                            || "table_x",
+                            generator_table_config.table_x,
+                            new_index,
+                            || Value::known(*x),
+                        )?;
+                        table.assign_cell(
+                            || "table_y",
+                            generator_table_config.table_y,
+                            new_index,
+                            || Value::known(*y),
+                        )?;
+                        table.assign_cell(
+                            || "table_range_check_tag",
+                            self.table_range_check_tag,
+                            new_index,
+                            || Value::known(pallas::Base::from(5_u64)),
+                        )?;
+                    }
+                }
+                Ok(())
+            },
+        )
+    }
+
+    #[cfg(test)]
+    // Fill `table_idx` and `table_range_check_tag`.
+    // This is only used in testing for now, since the Sinsemilla chip provides a pre-loaded table
+    // in the Orchard context.
+    fn load_range_check_table(&self, layouter: &mut impl Layouter<F>) -> Result<(), Error> {
+        layouter.assign_table(
+            || "table_idx",
+            |mut table| {
+                let mut assign_cells =
+                    |offset: usize, table_size, value: u64| -> Result<usize, Error> {
+                        for index in 0..table_size {
+                            let new_index = index + offset;
+                            table.assign_cell(
+                                || "table_idx",
+                                self.base.table_idx,
+                                new_index,
+                                || Value::known(F::from(index as u64)),
+                            )?;
+                            table.assign_cell(
+                                || "table_range_check_tag",
+                                self.table_range_check_tag,
+                                new_index,
+                                || Value::known(F::from(value)),
+                            )?;
+                        }
+                        Ok(offset + table_size)
+                    };
+
+                // We generate the row values lazily (we only need them during keygen).
+                let mut offset = 0;
+
+                //annotation: &'v (dyn Fn() -> String + 'v),
+                //column: TableColumn,
+                //offset: usize,
+                //to: &'v mut (dyn FnMut() -> Value<Assigned<F>> + 'v),
+
+                offset = assign_cells(offset, 1 << K, 0)?;
+                offset = assign_cells(offset, 1 << 4, 4)?;
+                assign_cells(offset, 1 << 5, 5)?;
+
+                Ok(())
+            },
+        )
+    }
+
+    /// Constrain `x` to be a NUM_BITS word.
+    ///
+    /// `element` must have been assigned to `self.running_sum` at offset 0.
+    fn short_range_check(
+        &self,
+        region: &mut Region<'_, F>,
+        element: AssignedCell<F, F>,
+        num_bits: usize,
+    ) -> Result<(), Error> {
+        match num_bits {
+            4 => {
+                self.base.q_lookup.enable(region, 0)?;
+                self.q_range_check_4.enable(region, 0)?;
+                Ok(())
+            }
+
+            5 => {
+                self.base.q_lookup.enable(region, 0)?;
+                self.q_range_check_5.enable(region, 0)?;
+                Ok(())
+            }
+
+            _ => self.base.short_range_check(region, element, num_bits),
+        }
+    }
+}
+
+/// In this crate, `LookupRangeCheck4_5BConfig` is always used with `pallas::Base` as the prime field
+/// and the constant `K` from the `sinsemilla` module. To reduce verbosity and improve readability,
+/// we introduce this alias and use it instead of that long construction.
+pub type PallasLookupRangeCheck4_5BConfig =
+    LookupRangeCheck4_5BConfig<pallas::Base, { sinsemilla::K }>;
+
+impl PallasLookupRangeCheck for PallasLookupRangeCheck4_5BConfig {}
+
 #[cfg(test)]
 mod tests {
     use super::super::lebs2ip;
@@ -469,10 +874,10 @@ mod tests {
         sinsemilla::primitives::K,
         test_circuits::test_utils::test_against_stored_circuit,
         utilities::lookup_range_check::{
-            LookupRangeCheck, PallasLookupRangeCheck, PallasLookupRangeCheckConfig,
+            LookupRangeCheck, PallasLookupRangeCheck, PallasLookupRangeCheck4_5BConfig,
+            PallasLookupRangeCheckConfig,
         },
     };
-
     use std::{convert::TryInto, marker::PhantomData};
 
     #[derive(Clone, Copy)]
@@ -515,7 +920,7 @@ mod tests {
             mut layouter: impl Layouter<F>,
         ) -> Result<(), Error> {
             // Load table_idx
-            config.load(&mut layouter)?;
+            config.load_range_check_table(&mut layouter)?;
 
             // Lookup constraining element to be no longer than num_words * K bits.
             let elements_and_expected_final_zs = [
@@ -583,6 +988,19 @@ mod tests {
         test_against_stored_circuit(circuit, "lookup_range_check", 1888);
     }
 
+    #[test]
+    fn lookup_range_check_4_5b() {
+        let circuit = MyLookupCircuit::<pallas::Base, PallasLookupRangeCheck4_5BConfig>::new(6);
+        let prover = MockProver::<pallas::Base>::run(11, &circuit, vec![]).unwrap();
+        assert_eq!(prover.verify(), Ok(()));
+    }
+
+    #[test]
+    fn test_lookup_range_check_against_stored_circuit_4_5b() {
+        let circuit = MyLookupCircuit::<pallas::Base, PallasLookupRangeCheck4_5BConfig>::new(6);
+        test_against_stored_circuit(circuit, "lookup_range_check_4_5b", 2048);
+    }
+
     #[derive(Clone, Copy)]
     struct MyShortRangeCheckCircuit<F: PrimeFieldBits, Lookup: LookupRangeCheck<F, K>> {
         element: Value<F>,
@@ -625,7 +1043,7 @@ mod tests {
             mut layouter: impl Layouter<F>,
         ) -> Result<(), Error> {
             // Load table_idx
-            config.load(&mut layouter)?;
+            config.load_range_check_table(&mut layouter)?;
 
             // Lookup constraining element to be no longer than num_bits.
             config.witness_short_check(
@@ -657,7 +1075,8 @@ mod tests {
 
     #[test]
     fn short_range_check() {
-        let proof_size = 1888;
+        let proof_size_10_bits = 1888;
+        let proof_size_4_5_10_bits = 2048;
 
         // Edge case: zero bits (case 0)
         let element = pallas::Base::ZERO;
@@ -667,7 +1086,14 @@ mod tests {
             num_bits,
             &Ok(()),
             "short_range_check_case0",
-            proof_size,
+            proof_size_10_bits,
+        );
+        test_short_range_check::<PallasLookupRangeCheck4_5BConfig>(
+            element,
+            num_bits,
+            &Ok(()),
+            "short_range_check_4_5b_case0",
+            proof_size_4_5_10_bits,
         );
 
         // Edge case: K bits (case 1)
@@ -678,7 +1104,14 @@ mod tests {
             num_bits,
             &Ok(()),
             "short_range_check_case1",
-            proof_size,
+            proof_size_10_bits,
+        );
+        test_short_range_check::<PallasLookupRangeCheck4_5BConfig>(
+            element,
+            num_bits,
+            &Ok(()),
+            "short_range_check_4_5b_case1",
+            proof_size_4_5_10_bits,
         );
 
         // Element within `num_bits` (case 2)
@@ -689,7 +1122,14 @@ mod tests {
             num_bits,
             &Ok(()),
             "short_range_check_case2",
-            proof_size,
+            proof_size_10_bits,
+        );
+        test_short_range_check::<PallasLookupRangeCheck4_5BConfig>(
+            element,
+            num_bits,
+            &Ok(()),
+            "short_range_check_4_5b_case2",
+            proof_size_4_5_10_bits,
         );
 
         // Element larger than `num_bits` but within K bits
@@ -707,7 +1147,14 @@ mod tests {
             num_bits,
             &error,
             "not_saved",
-            proof_size,
+            proof_size_10_bits,
+        );
+        test_short_range_check::<PallasLookupRangeCheck4_5BConfig>(
+            element,
+            num_bits,
+            &error,
+            "not_saved",
+            proof_size_4_5_10_bits,
         );
 
         // Element larger than K bits
@@ -734,7 +1181,14 @@ mod tests {
             num_bits,
             &error,
             "not_saved",
-            proof_size,
+            proof_size_10_bits,
+        );
+        test_short_range_check::<PallasLookupRangeCheck4_5BConfig>(
+            element,
+            num_bits,
+            &error,
+            "not_saved",
+            proof_size_4_5_10_bits,
         );
 
         // Element which is not within `num_bits`, but which has a shifted value within num_bits
@@ -758,7 +1212,38 @@ mod tests {
             num_bits as usize,
             &error,
             "not_saved",
-            proof_size,
+            proof_size_10_bits,
+        );
+        test_short_range_check::<PallasLookupRangeCheck4_5BConfig>(
+            element,
+            num_bits as usize,
+            &error,
+            "not_saved",
+            proof_size_4_5_10_bits,
+        );
+
+        // Element within 4 bits
+        test_short_range_check::<PallasLookupRangeCheck4_5BConfig>(
+            pallas::Base::from((1 << 4) - 1),
+            4,
+            &Ok(()),
+            "short_range_check_4_5b_case3",
+            proof_size_4_5_10_bits,
+        );
+
+        // Element larger than 5 bits
+        test_short_range_check::<PallasLookupRangeCheck4_5BConfig>(
+            pallas::Base::from(1 << 5),
+            5,
+            &Err(vec![VerifyFailure::Lookup {
+                lookup_index: 0,
+                location: FailureLocation::InRegion {
+                    region: (1, "Range check 5 bits").into(),
+                    offset: 0,
+                },
+            }]),
+            "not_saved",
+            proof_size_4_5_10_bits,
         );
     }
 }
diff --git a/halo2_proofs/src/circuit.rs b/halo2_proofs/src/circuit.rs
index 0822d8d8aa..1083339fed 100644
--- a/halo2_proofs/src/circuit.rs
+++ b/halo2_proofs/src/circuit.rs
@@ -139,6 +139,16 @@ impl<F: Field> AssignedCell<Assigned<F>, F> {
     }
 }
 
+impl<F: Field> From<AssignedCell<F, F>> for AssignedCell<Assigned<F>, F> {
+    fn from(ac: AssignedCell<F, F>) -> Self {
+        AssignedCell {
+            value: ac.value.map(|a| a.into()),
+            cell: ac.cell,
+            _marker: Default::default(),
+        }
+    }
+}
+
 impl<V: Clone, F: Field> AssignedCell<V, F>
 where
     for<'v> Assigned<F>: From<&'v V>,
diff --git a/halo2_proofs/src/plonk/error.rs b/halo2_proofs/src/plonk/error.rs
index 6e3131e798..e40851f554 100644
--- a/halo2_proofs/src/plonk/error.rs
+++ b/halo2_proofs/src/plonk/error.rs
@@ -40,6 +40,8 @@ pub enum Error {
     ColumnNotInPermutation(Column<Any>),
     /// An error relating to a lookup table.
     TableError(TableError),
+    /// Try to hash from a private point when allow_init_from_private_point is not set.
+    IllegalHashFromPrivatePoint,
 }
 
 impl From<io::Error> for Error {
@@ -82,7 +84,11 @@ impl fmt::Display for Error {
                 "Column {:?} must be included in the permutation. Help: try applying `meta.enable_equalty` on the column",
                 column
             ),
-            Error::TableError(error) => write!(f, "{}", error)
+            Error::TableError(error) => write!(f, "{}", error),
+            Error::IllegalHashFromPrivatePoint =>  write!(
+                f,
+                "Hashing from private point is disabled"
+            )
         }
     }
 }