diff --git a/dbms/src/AggregateFunctions/AggregateFunctionUniq.cpp b/dbms/src/AggregateFunctions/AggregateFunctionUniq.cpp
index d6831ce1c43f4d22f287828942c0bfd792dea20f..882cedca1efe0e7a97c5e6818b44fc1fd3d4fa2b 100644
--- a/dbms/src/AggregateFunctions/AggregateFunctionUniq.cpp
+++ b/dbms/src/AggregateFunctions/AggregateFunctionUniq.cpp
@@ -24,10 +24,10 @@ namespace ErrorCodes
 namespace
 {
 
+
 /** `DataForVariadic` is a data structure that will be used for `uniq` aggregate function of multiple arguments.
   * It differs, for example, in that it uses a trivial hash function, since `uniq` of many arguments first hashes them out itself.
   */
-
 template <typename Data, typename DataForVariadic>
 AggregateFunctionPtr createAggregateFunctionUniq(const std::string & name, const DataTypes & argument_types, const Array & params)
 {
@@ -37,6 +37,8 @@ AggregateFunctionPtr createAggregateFunctionUniq(const std::string & name, const
         throw Exception("Incorrect number of arguments for aggregate function " + name,
             ErrorCodes::NUMBER_OF_ARGUMENTS_DOESNT_MATCH);
 
+    bool use_exact_hash_function = !isAllArgumentsContiguousInMemory(argument_types);
+
     if (argument_types.size() == 1)
     {
         const IDataType & argument_type = *argument_types[0];
@@ -51,25 +53,25 @@ AggregateFunctionPtr createAggregateFunctionUniq(const std::string & name, const
             return std::make_shared<AggregateFunctionUniq<DataTypeDateTime::FieldType, Data>>();
         else if (typeid_cast<const DataTypeString *>(&argument_type) || typeid_cast<const DataTypeFixedString *>(&argument_type))
             return std::make_shared<AggregateFunctionUniq<String, Data>>();
-        else if (typeid_cast<const DataTypeTuple *>(&argument_type))
-            return std::make_shared<AggregateFunctionUniqVariadic<DataForVariadic, true>>(argument_types);
         else if (typeid_cast<const DataTypeUUID *>(&argument_type))
             return std::make_shared<AggregateFunctionUniq<DataTypeUUID::FieldType, Data>>();
-    }
-    else
-    {
-        /// If there are several arguments, then no tuples allowed among them.
-        for (const auto & type : argument_types)
-            if (typeid_cast<const DataTypeTuple *>(type.get()))
-                throw Exception("Tuple argument of function " + name + " must be the only argument",
-                    ErrorCodes::ILLEGAL_TYPE_OF_ARGUMENT);
+        else if (typeid_cast<const DataTypeTuple *>(&argument_type))
+        {
+            if (use_exact_hash_function)
+                return std::make_shared<AggregateFunctionUniqVariadic<DataForVariadic, true, true>>(argument_types);
+            else
+                return std::make_shared<AggregateFunctionUniqVariadic<DataForVariadic, false, true>>(argument_types);
+        }
     }
 
     /// "Variadic" method also works as a fallback generic case for single argument.
-    return std::make_shared<AggregateFunctionUniqVariadic<DataForVariadic, false>>(argument_types);
+    if (use_exact_hash_function)
+        return std::make_shared<AggregateFunctionUniqVariadic<DataForVariadic, true, false>>(argument_types);
+    else
+        return std::make_shared<AggregateFunctionUniqVariadic<DataForVariadic, false, false>>(argument_types);
 }
 
-template <template <typename> class Data, typename DataForVariadic>
+template <bool is_exact, template <typename> class Data, typename DataForVariadic>
 AggregateFunctionPtr createAggregateFunctionUniq(const std::string & name, const DataTypes & argument_types, const Array & params)
 {
     assertNoParameters(name, params);
@@ -78,6 +80,10 @@ AggregateFunctionPtr createAggregateFunctionUniq(const std::string & name, const
         throw Exception("Incorrect number of arguments for aggregate function " + name,
             ErrorCodes::NUMBER_OF_ARGUMENTS_DOESNT_MATCH);
 
+    /// We use exact hash function if the user wants it;
+    /// or if the arguments are not contiguous in memory, because only exact hash function have support for this case.
+    bool use_exact_hash_function = is_exact || !isAllArgumentsContiguousInMemory(argument_types);
+
     if (argument_types.size() == 1)
     {
         const IDataType & argument_type = *argument_types[0];
@@ -92,22 +98,22 @@ AggregateFunctionPtr createAggregateFunctionUniq(const std::string & name, const
             return std::make_shared<AggregateFunctionUniq<DataTypeDateTime::FieldType, Data<DataTypeDateTime::FieldType>>>();
         else if (typeid_cast<const DataTypeString *>(&argument_type) || typeid_cast<const DataTypeFixedString *>(&argument_type))
             return std::make_shared<AggregateFunctionUniq<String, Data<String>>>();
-        else if (typeid_cast<const DataTypeTuple *>(&argument_type))
-            return std::make_shared<AggregateFunctionUniqVariadic<DataForVariadic, true>>(argument_types);
         else if (typeid_cast<const DataTypeUUID *>(&argument_type))
             return std::make_shared<AggregateFunctionUniq<DataTypeUUID::FieldType, Data<DataTypeUUID::FieldType>>>();
-    }
-    else
-    {
-        /// If there are several arguments, then no tuples allowed among them.
-        for (const auto & type : argument_types)
-            if (typeid_cast<const DataTypeTuple *>(type.get()))
-                throw Exception("Tuple argument of function " + name + " must be the only argument",
-                    ErrorCodes::ILLEGAL_TYPE_OF_ARGUMENT);
+        else if (typeid_cast<const DataTypeTuple *>(&argument_type))
+        {
+            if (use_exact_hash_function)
+                return std::make_shared<AggregateFunctionUniqVariadic<DataForVariadic, true, true>>(argument_types);
+            else
+                return std::make_shared<AggregateFunctionUniqVariadic<DataForVariadic, false, true>>(argument_types);
+        }
     }
 
     /// "Variadic" method also works as a fallback generic case for single argument.
-    return std::make_shared<AggregateFunctionUniqVariadic<DataForVariadic, false>>(argument_types);
+    if (use_exact_hash_function)
+        return std::make_shared<AggregateFunctionUniqVariadic<DataForVariadic, true, false>>(argument_types);
+    else
+        return std::make_shared<AggregateFunctionUniqVariadic<DataForVariadic, false, false>>(argument_types);
 }
 
 }
@@ -118,13 +124,13 @@ void registerAggregateFunctionsUniq(AggregateFunctionFactory & factory)
         createAggregateFunctionUniq<AggregateFunctionUniqUniquesHashSetData, AggregateFunctionUniqUniquesHashSetDataForVariadic>);
 
     factory.registerFunction("uniqHLL12",
-        createAggregateFunctionUniq<AggregateFunctionUniqHLL12Data, AggregateFunctionUniqHLL12DataForVariadic>);
+        createAggregateFunctionUniq<false, AggregateFunctionUniqHLL12Data, AggregateFunctionUniqHLL12DataForVariadic>);
 
     factory.registerFunction("uniqExact",
-        createAggregateFunctionUniq<AggregateFunctionUniqExactData, AggregateFunctionUniqExactData<String>>);
+        createAggregateFunctionUniq<true, AggregateFunctionUniqExactData, AggregateFunctionUniqExactData<String>>);
 
     factory.registerFunction("uniqCombined",
-        createAggregateFunctionUniq<AggregateFunctionUniqCombinedData, AggregateFunctionUniqCombinedData<UInt64>>);
+        createAggregateFunctionUniq<false, AggregateFunctionUniqCombinedData, AggregateFunctionUniqCombinedData<UInt64>>);
 }
 
 }
diff --git a/dbms/src/AggregateFunctions/AggregateFunctionUniq.h b/dbms/src/AggregateFunctions/AggregateFunctionUniq.h
index 55c4cf47b51e14c64730078e1531625ea2115f52..140928959a39083b25b9452a706c4034547d9da0 100644
--- a/dbms/src/AggregateFunctions/AggregateFunctionUniq.h
+++ b/dbms/src/AggregateFunctions/AggregateFunctionUniq.h
@@ -337,12 +337,10 @@ public:
   * You can pass multiple arguments as is; You can also pass one argument - a tuple.
   * But (for the possibility of efficient implementation), you can not pass several arguments, among which there are tuples.
   */
-template <typename Data, bool argument_is_tuple>
-class AggregateFunctionUniqVariadic final : public IAggregateFunctionDataHelper<Data, AggregateFunctionUniqVariadic<Data, argument_is_tuple>>
+template <typename Data, bool is_exact, bool argument_is_tuple>
+class AggregateFunctionUniqVariadic final : public IAggregateFunctionDataHelper<Data, AggregateFunctionUniqVariadic<Data, is_exact, argument_is_tuple>>
 {
 private:
-    static constexpr bool is_exact = std::is_same_v<Data, AggregateFunctionUniqExactData<String>>;
-
     size_t num_args = 0;
 
 public:
@@ -363,7 +361,7 @@ public:
 
     void add(AggregateDataPtr place, const IColumn ** columns, size_t row_num, Arena *) const override
     {
-        this->data(place).set.insert(UniqVariadicHash<is_exact, argument_is_tuple>::apply(num_args, columns, row_num));
+        this->data(place).set.insert(typename Data::Set::value_type(UniqVariadicHash<is_exact, argument_is_tuple>::apply(num_args, columns, row_num)));
     }
 
     void merge(AggregateDataPtr place, ConstAggregateDataPtr rhs, Arena *) const override
diff --git a/dbms/src/AggregateFunctions/AggregateFunctionUniqUpTo.cpp b/dbms/src/AggregateFunctions/AggregateFunctionUniqUpTo.cpp
index d1d9b70f5f9f16f3859942ea7d75aabfe3791c9d..c632ae883c32089020348107745b0912f177a59d 100644
--- a/dbms/src/AggregateFunctions/AggregateFunctionUniqUpTo.cpp
+++ b/dbms/src/AggregateFunctions/AggregateFunctionUniqUpTo.cpp
@@ -46,6 +46,8 @@ AggregateFunctionPtr createAggregateFunctionUniqUpTo(const std::string & name, c
         throw Exception("Incorrect number of arguments for aggregate function " + name,
             ErrorCodes::NUMBER_OF_ARGUMENTS_DOESNT_MATCH);
 
+    bool use_exact_hash_function = !isAllArgumentsContiguousInMemory(argument_types);
+
     if (argument_types.size() == 1)
     {
         const IDataType & argument_type = *argument_types[0];
@@ -60,22 +62,22 @@ AggregateFunctionPtr createAggregateFunctionUniqUpTo(const std::string & name, c
             return std::make_shared<AggregateFunctionUniqUpTo<DataTypeDateTime::FieldType>>(threshold);
         else if (typeid_cast<const DataTypeString *>(&argument_type) || typeid_cast<const DataTypeFixedString*>(&argument_type))
             return std::make_shared<AggregateFunctionUniqUpTo<String>>(threshold);
-        else if (typeid_cast<const DataTypeTuple *>(&argument_type))
-            return std::make_shared<AggregateFunctionUniqUpToVariadic<true>>(argument_types, threshold);
         else if (typeid_cast<const DataTypeUUID *>(&argument_type))
             return std::make_shared<AggregateFunctionUniqUpTo<DataTypeUUID::FieldType>>(threshold);
-    }
-    else
-    {
-        /// If there are several arguments, then no tuples allowed among them.
-        for (const auto & type : argument_types)
-            if (typeid_cast<const DataTypeTuple *>(type.get()))
-                throw Exception("Tuple argument of function " + name + " must be the only argument",
-                    ErrorCodes::ILLEGAL_TYPE_OF_ARGUMENT);
+        else if (typeid_cast<const DataTypeTuple *>(&argument_type))
+        {
+            if (use_exact_hash_function)
+                return std::make_shared<AggregateFunctionUniqUpToVariadic<true, true>>(argument_types, threshold);
+            else
+                return std::make_shared<AggregateFunctionUniqUpToVariadic<false, true>>(argument_types, threshold);
+        }
     }
 
     /// "Variadic" method also works as a fallback generic case for single argument.
-    return std::make_shared<AggregateFunctionUniqUpToVariadic<false>>(argument_types, threshold);
+    if (use_exact_hash_function)
+        return std::make_shared<AggregateFunctionUniqUpToVariadic<true, false>>(argument_types, threshold);
+    else
+        return std::make_shared<AggregateFunctionUniqUpToVariadic<false, false>>(argument_types, threshold);
 }
 
 }
diff --git a/dbms/src/AggregateFunctions/AggregateFunctionUniqUpTo.h b/dbms/src/AggregateFunctions/AggregateFunctionUniqUpTo.h
index bb206bfa77eca22deff0d73a7c0fa7a119989af1..c6f2ad58856a64416bba5c2496603b3a33a5c0ec 100644
--- a/dbms/src/AggregateFunctions/AggregateFunctionUniqUpTo.h
+++ b/dbms/src/AggregateFunctions/AggregateFunctionUniqUpTo.h
@@ -180,9 +180,9 @@ public:
   * You can pass multiple arguments as is; You can also pass one argument - a tuple.
   * But (for the possibility of effective implementation), you can not pass several arguments, among which there are tuples.
   */
-template <bool argument_is_tuple>
+template <bool is_exact, bool argument_is_tuple>
 class AggregateFunctionUniqUpToVariadic final
-    : public IAggregateFunctionDataHelper<AggregateFunctionUniqUpToData<UInt64>, AggregateFunctionUniqUpToVariadic<argument_is_tuple>>
+    : public IAggregateFunctionDataHelper<AggregateFunctionUniqUpToData<UInt64>, AggregateFunctionUniqUpToVariadic<is_exact, argument_is_tuple>>
 {
 private:
     size_t num_args = 0;
@@ -212,7 +212,7 @@ public:
 
     void add(AggregateDataPtr place, const IColumn ** columns, size_t row_num, Arena *) const override
     {
-        this->data(place).insert(UniqVariadicHash<false, argument_is_tuple>::apply(num_args, columns, row_num), threshold);
+        this->data(place).insert(UInt64(UniqVariadicHash<is_exact, argument_is_tuple>::apply(num_args, columns, row_num)), threshold);
     }
 
     void merge(AggregateDataPtr place, ConstAggregateDataPtr rhs, Arena *) const override
diff --git a/dbms/src/AggregateFunctions/UniqVariadicHash.cpp b/dbms/src/AggregateFunctions/UniqVariadicHash.cpp
new file mode 100644
index 0000000000000000000000000000000000000000..53ff9d59004dfaeaad5d2bdbe7c9a0d070b00615
--- /dev/null
+++ b/dbms/src/AggregateFunctions/UniqVariadicHash.cpp
@@ -0,0 +1,32 @@
+#include <AggregateFunctions/UniqVariadicHash.h>
+#include <DataTypes/DataTypeTuple.h>
+#include <Common/typeid_cast.h>
+
+
+namespace DB
+{
+
+/// If some arguments are not contiguous, we cannot use simple hash function,
+///  because it requires method IColumn::getDataAt to work.
+/// Note that we treat single tuple argument in the same way as multiple arguments.
+bool isAllArgumentsContiguousInMemory(const DataTypes & argument_types)
+{
+    auto check_all_arguments_are_contiguous_in_memory = [](const DataTypes & types)
+    {
+        for (const auto & type : types)
+            if (!type->isValueUnambiguouslyRepresentedInContiguousMemoryRegion())
+                return false;
+        return true;
+    };
+
+    const DataTypeTuple * single_argument_as_tuple = nullptr;
+    if (argument_types.size() == 1)
+        single_argument_as_tuple = typeid_cast<const DataTypeTuple *>(argument_types[0].get());
+
+    if (single_argument_as_tuple)
+        return check_all_arguments_are_contiguous_in_memory(single_argument_as_tuple->getElements());
+    else
+        return check_all_arguments_are_contiguous_in_memory(argument_types);
+}
+
+}
diff --git a/dbms/src/AggregateFunctions/UniqVariadicHash.h b/dbms/src/AggregateFunctions/UniqVariadicHash.h
index 77e0e4bbe3d30928ca3b2c4f1e2c4e79c81a9520..c99afd0801a7ca7b1ccd84ced755f4c96484eed6 100644
--- a/dbms/src/AggregateFunctions/UniqVariadicHash.h
+++ b/dbms/src/AggregateFunctions/UniqVariadicHash.h
@@ -27,6 +27,12 @@ template <bool exact, bool for_tuple>
 struct UniqVariadicHash;
 
 
+/// If some arguments are not contiguous, we cannot use simple hash function,
+///  because it requires method IColumn::getDataAt to work.
+/// Note that we treat single tuple argument in the same way as multiple arguments.
+bool isAllArgumentsContiguousInMemory(const DataTypes & argument_types);
+
+
 template <>
 struct UniqVariadicHash<false, false>
 {
diff --git a/dbms/src/AggregateFunctions/UniquesHashSet.h b/dbms/src/AggregateFunctions/UniquesHashSet.h
index 61d433167459b39f5b5ecf69c518de613615cc85..b0036d4832d38844ae4ad23034bef8f48dcb3c22 100644
--- a/dbms/src/AggregateFunctions/UniquesHashSet.h
+++ b/dbms/src/AggregateFunctions/UniquesHashSet.h
@@ -74,8 +74,8 @@ template <typename Hash = UniquesHashSetDefaultHash>
 class UniquesHashSet : private HashTableAllocatorWithStackMemory<(1ULL << UNIQUES_HASH_SET_INITIAL_SIZE_DEGREE) * sizeof(UInt32)>
 {
 private:
-    using Value_t = UInt64;
-    using HashValue_t = UInt32;
+    using Value = UInt64;
+    using HashValue = UInt32;
     using Allocator = HashTableAllocatorWithStackMemory<(1ULL << UNIQUES_HASH_SET_INITIAL_SIZE_DEGREE) * sizeof(UInt32)>;
 
     UInt32 m_size;          /// Number of elements
@@ -83,7 +83,7 @@ private:
     UInt8 skip_degree;      /// Skip elements not divisible by 2 ^ skip_degree
     bool has_zero;          /// The hash table contains an element with a hash value of 0.
 
-    HashValue_t * buf;
+    HashValue * buf;
 
 #ifdef UNIQUES_HASH_SET_COUNT_COLLISIONS
     /// For profiling.
@@ -92,7 +92,7 @@ private:
 
     void alloc(UInt8 new_size_degree)
     {
-        buf = reinterpret_cast<HashValue_t *>(Allocator::alloc((1ULL << new_size_degree) * sizeof(buf[0])));
+        buf = reinterpret_cast<HashValue *>(Allocator::alloc((1ULL << new_size_degree) * sizeof(buf[0])));
         size_degree = new_size_degree;
     }
 
@@ -108,15 +108,15 @@ private:
     inline size_t buf_size() const           { return 1ULL << size_degree; }
     inline size_t max_fill() const           { return 1ULL << (size_degree - 1); }
     inline size_t mask() const               { return buf_size() - 1; }
-    inline size_t place(HashValue_t x) const { return (x >> UNIQUES_HASH_BITS_FOR_SKIP) & mask(); }
+    inline size_t place(HashValue x) const { return (x >> UNIQUES_HASH_BITS_FOR_SKIP) & mask(); }
 
     /// The value is divided by 2 ^ skip_degree
-    inline bool good(HashValue_t hash) const
+    inline bool good(HashValue hash) const
     {
         return hash == ((hash >> skip_degree) << skip_degree);
     }
 
-    HashValue_t hash(Value_t key) const
+    HashValue hash(Value key) const
     {
         return Hash()(key);
     }
@@ -141,7 +141,7 @@ private:
         {
             if (unlikely(buf[i] && i != place(buf[i])))
             {
-                HashValue_t x = buf[i];
+                HashValue x = buf[i];
                 buf[i] = 0;
                 reinsertImpl(x);
             }
@@ -157,7 +157,7 @@ private:
             new_size_degree = size_degree + 1;
 
         /// Expand the space.
-        buf = reinterpret_cast<HashValue_t *>(Allocator::realloc(buf, old_size * sizeof(buf[0]), (1ULL << new_size_degree) * sizeof(buf[0])));
+        buf = reinterpret_cast<HashValue *>(Allocator::realloc(buf, old_size * sizeof(buf[0]), (1ULL << new_size_degree) * sizeof(buf[0])));
         size_degree = new_size_degree;
 
         /** Now some items may need to be moved to a new location.
@@ -174,7 +174,7 @@ private:
           */
         for (size_t i = 0; i < old_size || buf[i]; ++i)
         {
-            HashValue_t x = buf[i];
+            HashValue x = buf[i];
             if (!x)
                 continue;
 
@@ -204,7 +204,7 @@ private:
     }
 
     /// Insert a value.
-    void insertImpl(HashValue_t x)
+    void insertImpl(HashValue x)
     {
         if (x == 0)
         {
@@ -234,7 +234,7 @@ private:
     /** Insert a value into the new buffer that was in the old buffer.
       * Used when increasing the size of the buffer, as well as when reading from a file.
       */
-    void reinsertImpl(HashValue_t x)
+    void reinsertImpl(HashValue x)
     {
         size_t place_value = place(x);
         while (buf[place_value])
@@ -272,6 +272,8 @@ private:
 
 
 public:
+    using value_type = Value;
+
     UniquesHashSet() :
         m_size(0),
         skip_degree(0),
@@ -312,9 +314,9 @@ public:
         free();
     }
 
-    void insert(Value_t x)
+    void insert(Value x)
     {
-        HashValue_t hash_value = hash(x);
+        HashValue hash_value = hash(x);
         if (!good(hash_value))
             return;
 
@@ -380,7 +382,7 @@ public:
 
         if (has_zero)
         {
-            HashValue_t x = 0;
+            HashValue x = 0;
             DB::writeIntBinary(x, wb);
         }
 
@@ -409,7 +411,7 @@ public:
 
         for (size_t i = 0; i < m_size; ++i)
         {
-            HashValue_t x = 0;
+            HashValue x = 0;
             DB::readIntBinary(x, rb);
             if (x == 0)
                 has_zero = true;
@@ -443,7 +445,7 @@ public:
 
         for (size_t i = 0; i < rhs_size; ++i)
         {
-            HashValue_t x = 0;
+            HashValue x = 0;
             DB::readIntBinary(x, rb);
             insertHash(x);
         }
@@ -459,7 +461,7 @@ public:
         if (size > UNIQUES_HASH_MAX_SIZE)
             throw Poco::Exception("Cannot read UniquesHashSet: too large size_degree.");
 
-        rb.ignore(sizeof(HashValue_t) * size);
+        rb.ignore(sizeof(HashValue) * size);
     }
 
     void writeText(DB::WriteBuffer & wb) const
@@ -505,7 +507,7 @@ public:
 
         for (size_t i = 0; i < m_size; ++i)
         {
-            HashValue_t x = 0;
+            HashValue x = 0;
             DB::assertChar(',', rb);
             DB::readIntText(x, rb);
             if (x == 0)
@@ -515,7 +517,7 @@ public:
         }
     }
 
-    void insertHash(HashValue_t hash_value)
+    void insertHash(HashValue hash_value)
     {
         if (!good(hash_value))
             return;
diff --git a/dbms/src/Common/CombinedCardinalityEstimator.h b/dbms/src/Common/CombinedCardinalityEstimator.h
index 31d91cb5195368f94538b4ba11bf24d9441ae45a..17e9bf4a454eaa1c93fb681cffce563bd7ef7c94 100644
--- a/dbms/src/Common/CombinedCardinalityEstimator.h
+++ b/dbms/src/Common/CombinedCardinalityEstimator.h
@@ -57,6 +57,8 @@ public:
             DenominatorType
         >;
 
+    using value_type = Key;
+
 private:
     using Small = SmallSet<Key, small_set_size_max>;
     using Medium = HashContainer;
diff --git a/dbms/src/Common/HyperLogLogCounter.h b/dbms/src/Common/HyperLogLogCounter.h
index ca671b5d90d6e68472193c515a26eb905c04aca9..d457a9342b927dc721da7ce9f650f7c208685b10 100644
--- a/dbms/src/Common/HyperLogLogCounter.h
+++ b/dbms/src/Common/HyperLogLogCounter.h
@@ -287,12 +287,13 @@ private:
     /// Size of counter's rank in bits.
     static constexpr UInt8 rank_width = details::RankWidth<HashValueType>::get();
 
-private:
-    using Value_t = UInt64;
+    using Value = UInt64;
     using RankStore = DB::CompactArray<HashValueType, rank_width, bucket_count>;
 
 public:
-    void insert(Value_t value)
+    using value_type = Value;
+
+    void insert(Value value)
     {
         HashValueType hash = getHash(value);
 
@@ -413,7 +414,7 @@ private:
         return zeros_plus_one;
     }
 
-    inline HashValueType getHash(Value_t key) const
+    inline HashValueType getHash(Value key) const
     {
         return Hash::operator()(key);
     }
diff --git a/dbms/src/Common/HyperLogLogWithSmallSetOptimization.h b/dbms/src/Common/HyperLogLogWithSmallSetOptimization.h
index 912cf1ec96da64dee009a13f6dc3e3a9d2ae9f8e..db27d126c5c416a9a1c9e9a41ebbb82bd6114575 100644
--- a/dbms/src/Common/HyperLogLogWithSmallSetOptimization.h
+++ b/dbms/src/Common/HyperLogLogWithSmallSetOptimization.h
@@ -51,6 +51,8 @@ private:
     }
 
 public:
+    using value_type = Key;
+
     ~HyperLogLogWithSmallSetOptimization()
     {
         if (isLarge())
diff --git a/dbms/tests/queries/0_stateless/00666_uniq_complex_types.reference b/dbms/tests/queries/0_stateless/00666_uniq_complex_types.reference
new file mode 100644
index 0000000000000000000000000000000000000000..c902b43b68018ae72eb076d8b1ff7b4bd960a87f
--- /dev/null
+++ b/dbms/tests/queries/0_stateless/00666_uniq_complex_types.reference
@@ -0,0 +1,27 @@
+3
+3
+3
+3
+3
+3
+3
+3
+3
+3
+3
+3
+3
+3
+3
+3
+3
+3
+3
+3
+3
+3
+3
+3
+3
+3
+3
diff --git a/dbms/tests/queries/0_stateless/00666_uniq_complex_types.sql b/dbms/tests/queries/0_stateless/00666_uniq_complex_types.sql
new file mode 100644
index 0000000000000000000000000000000000000000..3b43331c64ea7644a5a36cf0afe372f6675d901d
--- /dev/null
+++ b/dbms/tests/queries/0_stateless/00666_uniq_complex_types.sql
@@ -0,0 +1,29 @@
+SELECT uniq(x) FROM (SELECT arrayJoin([[], ['a'], ['a', 'b'], []]) AS x);
+SELECT uniq(x) FROM (SELECT arrayJoin([[[]], [['a', 'b']], [['a'], ['b']], [['a', 'b']]]) AS x);
+SELECT uniq(x, x) FROM (SELECT arrayJoin([[], ['a'], ['a', 'b'], []]) AS x);
+SELECT uniq(x, arrayMap(elem -> [elem, elem], x)) FROM (SELECT arrayJoin([[], ['a'], ['a', 'b'], []]) AS x);
+SELECT uniq(x, toString(x)) FROM (SELECT arrayJoin([[], ['a'], ['a', 'b'], []]) AS x);
+SELECT uniq((x, x)) FROM (SELECT arrayJoin([[], ['a'], ['a', 'b'], []]) AS x);
+SELECT uniq((x, arrayMap(elem -> [elem, elem], x))) FROM (SELECT arrayJoin([[], ['a'], ['a', 'b'], []]) AS x);
+SELECT uniq((x, toString(x))) FROM (SELECT arrayJoin([[], ['a'], ['a', 'b'], []]) AS x);
+SELECT uniq(x) FROM (SELECT arrayJoin([[], ['a'], ['a', NULL, 'b'], []]) AS x);
+
+SELECT uniqExact(x) FROM (SELECT arrayJoin([[], ['a'], ['a', 'b'], []]) AS x);
+SELECT uniqExact(x) FROM (SELECT arrayJoin([[[]], [['a', 'b']], [['a'], ['b']], [['a', 'b']]]) AS x);
+SELECT uniqExact(x, x) FROM (SELECT arrayJoin([[], ['a'], ['a', 'b'], []]) AS x);
+SELECT uniqExact(x, arrayMap(elem -> [elem, elem], x)) FROM (SELECT arrayJoin([[], ['a'], ['a', 'b'], []]) AS x);
+SELECT uniqExact(x, toString(x)) FROM (SELECT arrayJoin([[], ['a'], ['a', 'b'], []]) AS x);
+SELECT uniqExact((x, x)) FROM (SELECT arrayJoin([[], ['a'], ['a', 'b'], []]) AS x);
+SELECT uniqExact((x, arrayMap(elem -> [elem, elem], x))) FROM (SELECT arrayJoin([[], ['a'], ['a', 'b'], []]) AS x);
+SELECT uniqExact((x, toString(x))) FROM (SELECT arrayJoin([[], ['a'], ['a', 'b'], []]) AS x);
+SELECT uniqExact(x) FROM (SELECT arrayJoin([[], ['a'], ['a', NULL, 'b'], []]) AS x);
+
+SELECT uniqUpTo(3)(x) FROM (SELECT arrayJoin([[], ['a'], ['a', 'b'], []]) AS x);
+SELECT uniqUpTo(3)(x) FROM (SELECT arrayJoin([[[]], [['a', 'b']], [['a'], ['b']], [['a', 'b']]]) AS x);
+SELECT uniqUpTo(3)(x, x) FROM (SELECT arrayJoin([[], ['a'], ['a', 'b'], []]) AS x);
+SELECT uniqUpTo(3)(x, arrayMap(elem -> [elem, elem], x)) FROM (SELECT arrayJoin([[], ['a'], ['a', 'b'], []]) AS x);
+SELECT uniqUpTo(3)(x, toString(x)) FROM (SELECT arrayJoin([[], ['a'], ['a', 'b'], []]) AS x);
+SELECT uniqUpTo(3)((x, x)) FROM (SELECT arrayJoin([[], ['a'], ['a', 'b'], []]) AS x);
+SELECT uniqUpTo(3)((x, arrayMap(elem -> [elem, elem], x))) FROM (SELECT arrayJoin([[], ['a'], ['a', 'b'], []]) AS x);
+SELECT uniqUpTo(3)((x, toString(x))) FROM (SELECT arrayJoin([[], ['a'], ['a', 'b'], []]) AS x);
+SELECT uniqUpTo(3)(x) FROM (SELECT arrayJoin([[], ['a'], ['a', NULL, 'b'], []]) AS x);