Sumcheck improvements (AztecProtocol/barretenberg#455)

* convert partially evaluated polynomials from vectors to Polynomials and rename

* rename fold method to partially_evaluate

* static constexpr barycentric arrays

* change purported evaluations to claimed evaluations

* specify relations in Flavor

circuits/cpp/barretenberg/cpp/src/barretenberg/honk/flavor/flavor.test.cpp

@@ -38,7 +38,7 @@ TEST(Flavor, StandardGetters)
     Flavor::VerificationKey verification_key;
     Flavor::ProverPolynomials prover_polynomials;
     Flavor::ExtendedEdges<Flavor::NUM_ALL_ENTITIES> edges;
-    Flavor::PurportedEvaluations evals;
+    Flavor::ClaimedEvaluations evals;
     Flavor::CommitmentLabels commitment_labels;
 
     // Globals are also available through STL container sizes
@@ -120,11 +120,11 @@ TEST(Flavor, AllEntitiesSpecialMemberFunctions)
 {
     using Flavor = proof_system::honk::flavor::Standard;
     using FF = Flavor::FF;
-    using FoldedPolynomials = Flavor::FoldedPolynomials;
+    using PartiallyEvaluatedMultivariates = Flavor::PartiallyEvaluatedMultivariates;
     using Polynomial = Polynomial<FF>;
 
-    FoldedPolynomials polynomials_A;
-    std::vector<FF> random_poly{ 10 };
+    PartiallyEvaluatedMultivariates polynomials_A;
+    auto random_poly = Polynomial(10);
     for (auto& coeff : random_poly) {
         coeff = FF::random_element();
     }
@@ -135,10 +135,10 @@ TEST(Flavor, AllEntitiesSpecialMemberFunctions)
 
     ASSERT_EQ(random_poly, polynomials_A.w_l);
 
-    FoldedPolynomials polynomials_B(polynomials_A);
+    PartiallyEvaluatedMultivariates polynomials_B(polynomials_A);
     ASSERT_EQ(random_poly, polynomials_B.w_l);
 
-    FoldedPolynomials polynomials_C(std::move(polynomials_B));
+    PartiallyEvaluatedMultivariates polynomials_C(std::move(polynomials_B));
     ASSERT_EQ(random_poly, polynomials_C.w_l);
 }
 

circuits/cpp/barretenberg/cpp/src/barretenberg/honk/flavor/standard.hpp

@@ -6,8 +6,12 @@
 #include <type_traits>
 #include <vector>
 #include "barretenberg/honk/pcs/commitment_key.hpp"
+#include "barretenberg/honk/sumcheck/polynomials/barycentric_data.hpp"
 #include "barretenberg/honk/sumcheck/polynomials/univariate.hpp"
 #include "barretenberg/ecc/curves/bn254/g1.hpp"
+#include "barretenberg/honk/sumcheck/relations/arithmetic_relation.hpp"
+#include "barretenberg/honk/sumcheck/relations/grand_product_computation_relation.hpp"
+#include "barretenberg/honk/sumcheck/relations/grand_product_initialization_relation.hpp"
 #include "barretenberg/honk/transcript/transcript.hpp"
 #include "barretenberg/plonk/proof_system/proving_key/proving_key.hpp"
 #include "barretenberg/polynomials/evaluation_domain.hpp"
@@ -48,6 +52,19 @@ class Standard {
     // The total number of witness entities not including shifts.
     static constexpr size_t NUM_WITNESS_ENTITIES = 4;
 
+    // define the tuple of Relations that comprise the Sumcheck relation
+    using Relations = std::tuple<sumcheck::ArithmeticRelation<FF>,
+                                 sumcheck::GrandProductComputationRelation<FF>,
+                                 sumcheck::GrandProductInitializationRelation<FF>>;
+
+    static constexpr size_t MAX_RELATION_LENGTH = get_max_relation_length<Relations>();
+    static constexpr size_t NUM_RELATIONS = std::tuple_size<Relations>::value;
+
+    // define the container for storing the univariate contribution from each relation in Sumcheck
+    using UnivariateTuple = decltype(create_univariate_tuple<FF, Relations>());
+    // define utilities to extend univarates from RELATION_LENGTH to MAX_RELATION_LENGTH for each Relation
+    using BarycentricUtils = decltype(create_barycentric_utils<FF, Relations, MAX_RELATION_LENGTH>());
+
   private:
     /**
      * @brief A base class labelling precomputed entities and (ordered) subsets of interest.
@@ -190,10 +207,20 @@ class Standard {
     using ProverPolynomials = AllEntities<PolynomialHandle, PolynomialHandle>;
 
     /**
-     * @brief A container for polynomials produced after the first round of sumcheck.
-     * @todo TODO(#394) Use polynomial classes for guaranteed memory alignment.
+     * @brief A container for storing the partially evaluated multivariates produced by sumcheck.
      */
-    using FoldedPolynomials = AllEntities<std::vector<FF>, PolynomialHandle>;
+    class PartiallyEvaluatedMultivariates : public AllEntities<Polynomial, PolynomialHandle> {
+
+      public:
+        PartiallyEvaluatedMultivariates() = default;
+        PartiallyEvaluatedMultivariates(const size_t circuit_size)
+        {
+            // Storage is only needed after the first partial evaluation, hence polynomials of size (n / 2)
+            for (auto& poly : this->_data) {
+                poly = Polynomial(circuit_size / 2);
+            }
+        }
+    };
 
     /**
      * @brief A container for univariates produced during the hot loop in sumcheck.
@@ -207,11 +234,11 @@ class Standard {
      * @brief A container for the polynomials evaluations produced during sumcheck, which are purported to be the
      * evaluations of polynomials committed in earlier rounds.
      */
-    class PurportedEvaluations : public AllEntities<FF, FF> {
+    class ClaimedEvaluations : public AllEntities<FF, FF> {
       public:
         using Base = AllEntities<FF, FF>;
         using Base::Base;
-        PurportedEvaluations(std::array<FF, NUM_ALL_ENTITIES> _data_in) { this->_data = _data_in; }
+        ClaimedEvaluations(std::array<FF, NUM_ALL_ENTITIES> _data_in) { this->_data = _data_in; }
     };
 
     /**

circuits/cpp/barretenberg/cpp/src/barretenberg/honk/flavor/ultra.hpp

@@ -6,6 +6,7 @@
 #include <type_traits>
 #include <vector>
 #include "barretenberg/honk/pcs/commitment_key.hpp"
+#include "barretenberg/honk/sumcheck/polynomials/barycentric_data.hpp"
 #include "barretenberg/honk/sumcheck/polynomials/univariate.hpp"
 #include "barretenberg/ecc/curves/bn254/g1.hpp"
 #include "barretenberg/honk/transcript/transcript.hpp"
@@ -15,6 +16,14 @@
 #include "barretenberg/proof_system/circuit_constructors/ultra_circuit_constructor.hpp"
 #include "barretenberg/srs/reference_string/reference_string.hpp"
 #include "barretenberg/proof_system/flavor/flavor.hpp"
+#include "barretenberg/honk/sumcheck/relations/ultra_arithmetic_relation.hpp"
+#include "barretenberg/honk/sumcheck/relations/ultra_arithmetic_relation_secondary.hpp"
+#include "barretenberg/honk/sumcheck/relations/grand_product_computation_relation.hpp"
+#include "barretenberg/honk/sumcheck/relations/grand_product_initialization_relation.hpp"
+#include "barretenberg/honk/sumcheck/relations/lookup_grand_product_relation.hpp"
+#include "barretenberg/honk/sumcheck/relations/gen_perm_sort_relation.hpp"
+#include "barretenberg/honk/sumcheck/relations/elliptic_relation.hpp"
+#include "barretenberg/honk/sumcheck/relations/auxiliary_relation.hpp"
 
 namespace proof_system::honk::flavor {
 
@@ -41,6 +50,25 @@ class Ultra {
     // The total number of witness entities not including shifts.
     static constexpr size_t NUM_WITNESS_ENTITIES = 11;
 
+    // define the tuple of Relations that comprise the Sumcheck relation
+    using Relations = std::tuple<sumcheck::UltraArithmeticRelation<FF>,
+                                 sumcheck::UltraArithmeticRelationSecondary<FF>,
+                                 sumcheck::UltraGrandProductComputationRelation<FF>,
+                                 sumcheck::UltraGrandProductInitializationRelation<FF>,
+                                 sumcheck::LookupGrandProductComputationRelation<FF>,
+                                 sumcheck::LookupGrandProductInitializationRelation<FF>,
+                                 sumcheck::GenPermSortRelation<FF>,
+                                 sumcheck::EllipticRelation<FF>,
+                                 sumcheck::AuxiliaryRelation<FF>>;
+
+    static constexpr size_t MAX_RELATION_LENGTH = get_max_relation_length<Relations>();
+    static constexpr size_t NUM_RELATIONS = std::tuple_size<Relations>::value;
+
+    // define the container for storing the univariate contribution from each relation in Sumcheck
+    using UnivariateTuple = decltype(create_univariate_tuple<FF, Relations>());
+    // define utilities to extend univarates from RELATION_LENGTH to MAX_RELATION_LENGTH for each Relation
+    using BarycentricUtils = decltype(create_barycentric_utils<FF, Relations, MAX_RELATION_LENGTH>());
+
   private:
     template <typename DataType, typename HandleType>
     /**
@@ -249,10 +277,20 @@ class Ultra {
     using ProverPolynomials = AllEntities<PolynomialHandle, PolynomialHandle>;
 
     /**
-     * @brief A container for polynomials produced after the first round of sumcheck.
-     * @todo TODO(#394) Use polynomial classes for guaranteed memory alignment.
+     * @brief A container for storing the partially evaluated multivariates produced by sumcheck.
      */
-    using FoldedPolynomials = AllEntities<std::vector<FF>, PolynomialHandle>;
+    class PartiallyEvaluatedMultivariates : public AllEntities<Polynomial, PolynomialHandle> {
+
+      public:
+        PartiallyEvaluatedMultivariates() = default;
+        PartiallyEvaluatedMultivariates(const size_t circuit_size)
+        {
+            // Storage is only needed after the first partial evaluation, hence polynomials of size (n / 2)
+            for (auto& poly : this->_data) {
+                poly = Polynomial(circuit_size / 2);
+            }
+        }
+    };
 
     /**
      * @brief A container for univariates produced during the hot loop in sumcheck.
@@ -266,11 +304,11 @@ class Ultra {
      * @brief A container for the polynomials evaluations produced during sumcheck, which are purported to be the
      * evaluations of polynomials committed in earlier rounds.
      */
-    class PurportedEvaluations : public AllEntities<FF, FF> {
+    class ClaimedEvaluations : public AllEntities<FF, FF> {
       public:
         using Base = AllEntities<FF, FF>;
         using Base::Base;
-        PurportedEvaluations(std::array<FF, NUM_ALL_ENTITIES> _data_in) { this->_data = _data_in; }
+        ClaimedEvaluations(std::array<FF, NUM_ALL_ENTITIES> _data_in) { this->_data = _data_in; }
     };
 
     /**

circuits/cpp/barretenberg/cpp/src/barretenberg/honk/proof_system/prover.cpp

@@ -3,9 +3,6 @@
 #include "barretenberg/honk/sumcheck/sumcheck.hpp"
 #include "barretenberg/honk/transcript/transcript.hpp"
 #include "barretenberg/honk/utils/power_polynomial.hpp"
-#include "barretenberg/honk/sumcheck/relations/arithmetic_relation.hpp"
-#include "barretenberg/honk/sumcheck/relations/grand_product_computation_relation.hpp"
-#include "barretenberg/honk/sumcheck/relations/grand_product_initialization_relation.hpp"
 #include "barretenberg/honk/flavor/standard.hpp"
 
 namespace proof_system::honk {
@@ -130,11 +127,7 @@ template <StandardFlavor Flavor> void StandardProver_<Flavor>::execute_grand_pro
  * */
 template <StandardFlavor Flavor> void StandardProver_<Flavor>::execute_relation_check_rounds()
 {
-    using Sumcheck = sumcheck::Sumcheck<Flavor,
-                                        ProverTranscript<FF>,
-                                        sumcheck::ArithmeticRelation,
-                                        sumcheck::GrandProductComputationRelation,
-                                        sumcheck::GrandProductInitializationRelation>;
+    using Sumcheck = sumcheck::Sumcheck<Flavor, ProverTranscript<FF>>;
 
     auto sumcheck = Sumcheck(key->circuit_size, transcript);
 

circuits/cpp/barretenberg/cpp/src/barretenberg/honk/proof_system/ultra_prover.cpp

@@ -2,8 +2,6 @@
 #include <algorithm>
 #include <cstddef>
 #include "barretenberg/honk/proof_system/prover_library.hpp"
-#include "barretenberg/honk/sumcheck/relations/ultra_arithmetic_relation.hpp"
-#include "barretenberg/honk/sumcheck/relations/ultra_arithmetic_relation_secondary.hpp"
 #include "barretenberg/honk/sumcheck/sumcheck.hpp"
 #include <array>
 #include "barretenberg/honk/sumcheck/polynomials/univariate.hpp" // will go away
@@ -15,13 +13,6 @@
 #include <vector>
 #include "barretenberg/ecc/curves/bn254/fr.hpp"
 #include "barretenberg/ecc/curves/bn254/g1.hpp"
-#include "barretenberg/honk/sumcheck/relations/arithmetic_relation.hpp"
-#include "barretenberg/honk/sumcheck/relations/grand_product_computation_relation.hpp"
-#include "barretenberg/honk/sumcheck/relations/grand_product_initialization_relation.hpp"
-#include "barretenberg/honk/sumcheck/relations/lookup_grand_product_relation.hpp"
-#include "barretenberg/honk/sumcheck/relations/gen_perm_sort_relation.hpp"
-#include "barretenberg/honk/sumcheck/relations/elliptic_relation.hpp"
-#include "barretenberg/honk/sumcheck/relations/auxiliary_relation.hpp"
 #include "barretenberg/polynomials/polynomial.hpp"
 #include "barretenberg/transcript/transcript_wrappers.hpp"
 #include <string>
@@ -191,17 +182,7 @@ template <UltraFlavor Flavor> void UltraProver_<Flavor>::execute_grand_product_c
  */
 template <UltraFlavor Flavor> void UltraProver_<Flavor>::execute_relation_check_rounds()
 {
-    using Sumcheck = sumcheck::Sumcheck<Flavor,
-                                        ProverTranscript<FF>,
-                                        sumcheck::UltraArithmeticRelation,
-                                        sumcheck::UltraArithmeticRelationSecondary,
-                                        sumcheck::UltraGrandProductComputationRelation,
-                                        sumcheck::UltraGrandProductInitializationRelation,
-                                        sumcheck::LookupGrandProductComputationRelation,
-                                        sumcheck::LookupGrandProductInitializationRelation,
-                                        sumcheck::GenPermSortRelation,
-                                        sumcheck::EllipticRelation,
-                                        sumcheck::AuxiliaryRelation>;
+    using Sumcheck = sumcheck::Sumcheck<Flavor, ProverTranscript<FF>>;
 
     auto sumcheck = Sumcheck(key->circuit_size, transcript);
 

circuits/cpp/barretenberg/cpp/src/barretenberg/honk/proof_system/ultra_verifier.cpp

@@ -4,14 +4,6 @@
 #include "barretenberg/honk/flavor/standard.hpp"
 #include "barretenberg/ecc/curves/bn254/scalar_multiplication/scalar_multiplication.hpp"
 #include "barretenberg/honk/utils/power_polynomial.hpp"
-#include "barretenberg/honk/sumcheck/relations/ultra_arithmetic_relation.hpp"
-#include "barretenberg/honk/sumcheck/relations/ultra_arithmetic_relation_secondary.hpp"
-#include "barretenberg/honk/sumcheck/relations/grand_product_initialization_relation.hpp"
-#include "barretenberg/honk/sumcheck/relations/grand_product_computation_relation.hpp"
-#include "barretenberg/honk/sumcheck/relations/lookup_grand_product_relation.hpp"
-#include "barretenberg/honk/sumcheck/relations/gen_perm_sort_relation.hpp"
-#include "barretenberg/honk/sumcheck/relations/elliptic_relation.hpp"
-#include "barretenberg/honk/sumcheck/relations/auxiliary_relation.hpp"
 
 #pragma GCC diagnostic ignored "-Wunused-variable"
 
@@ -107,17 +99,7 @@ template <typename Flavor> bool UltraVerifier_<Flavor>::verify_proof(const plonk
     commitments.z_lookup = transcript.template receive_from_prover<Commitment>(commitment_labels.z_lookup);
 
     // Execute Sumcheck Verifier
-    auto sumcheck = Sumcheck<Flavor,
-                             VerifierTranscript<FF>,
-                             honk::sumcheck::UltraArithmeticRelation,
-                             honk::sumcheck::UltraArithmeticRelationSecondary,
-                             honk::sumcheck::UltraGrandProductComputationRelation,
-                             honk::sumcheck::UltraGrandProductInitializationRelation,
-                             honk::sumcheck::LookupGrandProductComputationRelation,
-                             honk::sumcheck::LookupGrandProductInitializationRelation,
-                             honk::sumcheck::GenPermSortRelation,
-                             honk::sumcheck::EllipticRelation,
-                             honk::sumcheck::AuxiliaryRelation>(circuit_size, transcript);
+    auto sumcheck = Sumcheck<Flavor, VerifierTranscript<FF>>(circuit_size, transcript);
 
     std::optional sumcheck_output = sumcheck.execute_verifier(relation_parameters);
 

circuits/cpp/barretenberg/cpp/src/barretenberg/honk/proof_system/verifier.cpp

@@ -4,9 +4,6 @@
 #include "barretenberg/honk/flavor/standard.hpp"
 #include "barretenberg/ecc/curves/bn254/scalar_multiplication/scalar_multiplication.hpp"
 #include "barretenberg/honk/utils/power_polynomial.hpp"
-#include "barretenberg/honk/sumcheck/relations/arithmetic_relation.hpp"
-#include "barretenberg/honk/sumcheck/relations/grand_product_initialization_relation.hpp"
-#include "barretenberg/honk/sumcheck/relations/grand_product_computation_relation.hpp"
 
 using namespace barretenberg;
 using namespace proof_system::honk::sumcheck;
@@ -111,11 +108,7 @@ template <typename Flavor> bool StandardVerifier_<Flavor>::verify_proof(const pl
     commitments.z_perm = transcript.template receive_from_prover<Commitment>(commitment_labels.z_perm);
 
     // Execute Sumcheck Verifier
-    auto sumcheck = Sumcheck<Flavor,
-                             VerifierTranscript<FF>,
-                             honk::sumcheck::ArithmeticRelation,
-                             honk::sumcheck::GrandProductComputationRelation,
-                             honk::sumcheck::GrandProductInitializationRelation>(circuit_size, transcript);
+    auto sumcheck = Sumcheck<Flavor, VerifierTranscript<FF>>(circuit_size, transcript);
     std::optional sumcheck_output = sumcheck.execute_verifier(relation_parameters);
 
     // If Sumcheck does not return an output, sumcheck verification has failed