ClickHouse/dbms/src/Interpreters/ExpressionAnalyzer.cpp

#include <Poco/Util/Application.h>
#include <Poco/String.h>

#include <DataTypes/FieldToDataType.h>

#include <Parsers/ASTFunction.h>
#include <Parsers/ASTIdentifier.h>
#include <Parsers/ASTLiteral.h>
#include <Parsers/ASTAsterisk.h>
#include <Parsers/ASTQualifiedAsterisk.h>
#include <Parsers/ASTExpressionList.h>
#include <Parsers/ASTSelectQuery.h>
#include <Parsers/ASTSelectWithUnionQuery.h>
#include <Parsers/ASTSubquery.h>
#include <Parsers/ASTOrderByElement.h>
#include <Parsers/formatAST.h>

#include <DataTypes/DataTypeSet.h>
#include <DataTypes/DataTypeNullable.h>
#include <DataTypes/NestedUtils.h>
#include <DataTypes/DataTypesNumber.h>

#include <Columns/ColumnSet.h>
#include <Columns/ColumnConst.h>

#include <Interpreters/InterpreterSelectWithUnionQuery.h>
#include <Interpreters/ExpressionAnalyzer.h>
#include <Interpreters/ExpressionActions.h>
#include <Interpreters/InJoinSubqueriesPreprocessor.h>
#include <Interpreters/LogicalExpressionsOptimizer.h>
#include <Interpreters/PredicateExpressionsOptimizer.h>
#include <Interpreters/ExternalDictionaries.h>
#include <Interpreters/convertFieldToType.h>
#include <Interpreters/Set.h>
#include <Interpreters/Join.h>
#include <Interpreters/ProjectionManipulation.h>
#include <Interpreters/evaluateConstantExpression.h>

#include <AggregateFunctions/AggregateFunctionFactory.h>
#include <AggregateFunctions/parseAggregateFunctionParameters.h>

#include <Storages/StorageDistributed.h>
#include <Storages/StorageMemory.h>
#include <Storages/StorageSet.h>
#include <Storages/StorageJoin.h>

#include <DataStreams/LazyBlockInputStream.h>
#include <DataStreams/copyData.h>

#include <Dictionaries/IDictionary.h>

#include <Common/typeid_cast.h>
#include <Common/StringUtils/StringUtils.h>

#include <Parsers/formatAST.h>

#include <Functions/FunctionFactory.h>
#include <Functions/IFunction.h>

#include <ext/range.h>
#include <DataTypes/DataTypeFactory.h>
#include <DataTypes/DataTypeFunction.h>
#include <Functions/FunctionsMiscellaneous.h>
#include <DataTypes/DataTypeTuple.h>
#include <Parsers/queryToString.h>
#include <Parsers/ExpressionListParsers.h>
#include <Parsers/parseQuery.h>
#include <Parsers/queryToString.h>
#include <Interpreters/evaluateQualified.h>


namespace DB
{

namespace ErrorCodes
{
    extern const int BAD_ARGUMENTS;
    extern const int MULTIPLE_EXPRESSIONS_FOR_ALIAS;
    extern const int UNKNOWN_IDENTIFIER;
    extern const int CYCLIC_ALIASES;
    extern const int INCORRECT_RESULT_OF_SCALAR_SUBQUERY;
    extern const int TOO_MANY_ROWS;
    extern const int NOT_FOUND_COLUMN_IN_BLOCK;
    extern const int INCORRECT_ELEMENT_OF_SET;
    extern const int ALIAS_REQUIRED;
    extern const int EMPTY_NESTED_TABLE;
    extern const int NOT_AN_AGGREGATE;
    extern const int UNEXPECTED_EXPRESSION;
    extern const int DUPLICATE_COLUMN;
    extern const int FUNCTION_CANNOT_HAVE_PARAMETERS;
    extern const int ILLEGAL_AGGREGATION;
    extern const int SUPPORT_IS_DISABLED;
    extern const int TOO_DEEP_AST;
    extern const int TOO_BIG_AST;
    extern const int NUMBER_OF_ARGUMENTS_DOESNT_MATCH;
    extern const int CONDITIONAL_TREE_PARENT_NOT_FOUND;
    extern const int TYPE_MISMATCH;
    extern const int INVALID_JOIN_ON_EXPRESSION;
    extern const int EXPECT_ALL_OR_ANY;
}


/** Calls to these functions in the GROUP BY statement would be
  * replaced by their immediate argument.
  */
const std::unordered_set<String> injective_function_names
{
    "negate",
    "bitNot",
    "reverse",
    "reverseUTF8",
    "toString",
    "toFixedString",
    "IPv4NumToString",
    "IPv4StringToNum",
    "hex",
    "unhex",
    "bitmaskToList",
    "bitmaskToArray",
    "tuple",
    "regionToName",
    "concatAssumeInjective",
};

const std::unordered_set<String> possibly_injective_function_names
{
    "dictGetString",
    "dictGetUInt8",
    "dictGetUInt16",
    "dictGetUInt32",
    "dictGetUInt64",
    "dictGetInt8",
    "dictGetInt16",
    "dictGetInt32",
    "dictGetInt64",
    "dictGetFloat32",
    "dictGetFloat64",
    "dictGetDate",
    "dictGetDateTime"
};

namespace
{

bool functionIsInOperator(const String & name)
{
    return name == "in" || name == "notIn";
}

bool functionIsInOrGlobalInOperator(const String & name)
{
    return name == "in" || name == "notIn" || name == "globalIn" || name == "globalNotIn";
}

void removeDuplicateColumns(NamesAndTypesList & columns)
{
    std::set<String> names;
    for (auto it = columns.begin(); it != columns.end();)
    {
        if (names.emplace(it->name).second)
            ++it;
        else
            columns.erase(it++);
    }
}

}

ExpressionAnalyzer::ExpressionAnalyzer(
    const ASTPtr & ast_,
    const Context & context_,
    const StoragePtr & storage_,
    const NamesAndTypesList & source_columns_,
    const Names & required_result_columns_,
    size_t subquery_depth_,
    bool do_global_,
    const SubqueriesForSets & subqueries_for_set_)
    : ast(ast_), context(context_), settings(context.getSettings()),
    subquery_depth(subquery_depth_),
    source_columns(source_columns_), required_result_columns(required_result_columns_),
    storage(storage_),
    do_global(do_global_), subqueries_for_sets(subqueries_for_set_)
{
    select_query = typeid_cast<ASTSelectQuery *>(ast.get());

    if (!storage && select_query)
    {
        auto select_database = select_query->database();
        auto select_table = select_query->table();

        if (select_table
            && !typeid_cast<const ASTSelectWithUnionQuery *>(select_table.get())
            && !typeid_cast<const ASTFunction *>(select_table.get()))
        {
            String database = select_database
                ? typeid_cast<const ASTIdentifier &>(*select_database).name
                : "";
            const String & table = typeid_cast<const ASTIdentifier &>(*select_table).name;
            storage = context.tryGetTable(database, table);
        }
    }

    if (storage && source_columns.empty())
        source_columns = storage->getColumns().getAllPhysical();
    else
        removeDuplicateColumns(source_columns);

    addAliasColumns();

    translateQualifiedNames();

    /// Depending on the user's profile, check for the execution rights
    /// distributed subqueries inside the IN or JOIN sections and process these subqueries.
    InJoinSubqueriesPreprocessor(context).process(select_query);

    /// Optimizes logical expressions.
    LogicalExpressionsOptimizer(select_query, settings).perform();

    /// Creates a dictionary `aliases`: alias -> ASTPtr
    addASTAliases(ast);

    /// Common subexpression elimination. Rewrite rules.
    normalizeTree();

    /// Remove unneeded columns according to 'required_result_columns'.
    /// Leave all selected columns in case of DISTINCT; columns that contain arrayJoin function inside.
    /// Must be after 'normalizeTree' (after expanding aliases, for aliases not get lost)
    ///  and before 'executeScalarSubqueries', 'analyzeAggregation', etc. to avoid excessive calculations.
    removeUnneededColumnsFromSelectClause();

    /// Executing scalar subqueries - replacing them with constant values.
    executeScalarSubqueries();

    /// Optimize if with constant condition after constants was substituted instead of sclalar subqueries.
    optimizeIfWithConstantCondition();

    /// GROUP BY injective function elimination.
    optimizeGroupBy();

    /// Remove duplicate items from ORDER BY.
    optimizeOrderBy();

    // Remove duplicated elements from LIMIT BY clause.
    optimizeLimitBy();

    /// array_join_alias_to_name, array_join_result_to_source.
    getArrayJoinedColumns();

    /// Push the predicate expression down to the subqueries.
    rewrite_subqueries = PredicateExpressionsOptimizer(select_query, settings, context).optimize();

    /// Delete the unnecessary from `source_columns` list. Create `unknown_required_source_columns`. Form `columns_added_by_join`.
    collectUsedColumns();

    /// external_tables, subqueries_for_sets for global subqueries.
    /// Replaces global subqueries with the generated names of temporary tables that will be sent to remote servers.
    initGlobalSubqueriesAndExternalTables();

    /// has_aggregation, aggregation_keys, aggregate_descriptions, aggregated_columns.
    /// This analysis should be performed after processing global subqueries, because otherwise,
    /// if the aggregate function contains a global subquery, then `analyzeAggregation` method will save
    /// in `aggregate_descriptions` the information about the parameters of this aggregate function, among which
    /// global subquery. Then, when you call `initGlobalSubqueriesAndExternalTables` method, this
    /// the global subquery will be replaced with a temporary table, resulting in aggregate_descriptions
    /// will contain out-of-date information, which will lead to an error when the query is executed.
    analyzeAggregation();
}

void ExpressionAnalyzer::translateQualifiedNames()
{
    if (!select_query || !select_query->tables || select_query->tables->children.empty())
        return;

    auto & element = static_cast<ASTTablesInSelectQueryElement &>(*select_query->tables->children[0]);

    if (!element.table_expression)        /// This is ARRAY JOIN without a table at the left side.
        return;

    auto & table_expression = static_cast<ASTTableExpression &>(*element.table_expression);
    auto * join = select_query->join();

    std::vector<DatabaseAndTableWithAlias> tables = {getTableNameWithAliasFromTableExpression(table_expression, context)};

    if (join)
    {
        const auto & join_table_expression = static_cast<const ASTTableExpression &>(*join->table_expression);
        tables.emplace_back(getTableNameWithAliasFromTableExpression(join_table_expression, context));
    }

    translateQualifiedNamesImpl(ast, tables);
}

void ExpressionAnalyzer::translateQualifiedNamesImpl(ASTPtr & ast, const std::vector<DatabaseAndTableWithAlias> & tables)
{
    if (auto * identifier = typeid_cast<ASTIdentifier *>(ast.get()))
    {
        if (identifier->kind == ASTIdentifier::Column)
        {
            /// Select first table name with max number of qualifiers which can be stripped.
            size_t max_num_qualifiers_to_strip = 0;
            size_t best_table_pos = 0;

            for (size_t table_pos = 0; table_pos < tables.size(); ++table_pos)
            {
                const auto & table = tables[table_pos];
                auto num_qualifiers_to_strip = getNumComponentsToStripInOrderToTranslateQualifiedName(*identifier, table);

                if (num_qualifiers_to_strip > max_num_qualifiers_to_strip)
                {
                    max_num_qualifiers_to_strip = num_qualifiers_to_strip;
                    best_table_pos = table_pos;
                }
            }

            stripIdentifier(ast, max_num_qualifiers_to_strip);

            /// In case if column from the joined table are in source columns, change it's name to qualified.
            if (best_table_pos && source_columns.contains(ast->getColumnName()))
                tables[best_table_pos].makeQualifiedName(ast);
        }
    }
    else if (typeid_cast<ASTQualifiedAsterisk *>(ast.get()))
    {
        if (ast->children.size() != 1)
            throw Exception("Logical error: qualified asterisk must have exactly one child", ErrorCodes::LOGICAL_ERROR);

        ASTIdentifier * ident = typeid_cast<ASTIdentifier *>(ast->children[0].get());
        if (!ident)
            throw Exception("Logical error: qualified asterisk must have identifier as its child", ErrorCodes::LOGICAL_ERROR);

        size_t num_components = ident->children.size();
        if (num_components > 2)
            throw Exception("Qualified asterisk cannot have more than two qualifiers", ErrorCodes::UNKNOWN_ELEMENT_IN_AST);

        for (const auto & table_names : tables)
        {
            /// database.table.*, table.* or alias.*
            if ((num_components == 2
                 && !table_names.database.empty()
                 && static_cast<const ASTIdentifier &>(*ident->children[0]).name == table_names.database
                 && static_cast<const ASTIdentifier &>(*ident->children[1]).name == table_names.table)
                || (num_components == 0
                    && ((!table_names.table.empty() && ident->name == table_names.table)
                        || (!table_names.alias.empty() && ident->name == table_names.alias))))
            {
                /// Replace to plain asterisk.
                ast = std::make_shared<ASTAsterisk>();
            }
        }
    }
    else if (auto * join = typeid_cast<ASTTableJoin *>(ast.get()))
    {
        /// Don't translate on_expression here in order to resolve equation parts later.
        if (join->using_expression_list)
            translateQualifiedNamesImpl(join->using_expression_list, tables);
    }
    else
    {
        for (auto & child : ast->children)
        {
            /// Do not go to FROM, JOIN, subqueries.
            if (!typeid_cast<const ASTTableExpression *>(child.get())
                && !typeid_cast<const ASTSelectWithUnionQuery *>(child.get()))
            {
                translateQualifiedNamesImpl(child, tables);
            }
        }
    }
}

void ExpressionAnalyzer::optimizeIfWithConstantCondition()
{
    optimizeIfWithConstantConditionImpl(ast, aliases);
}

bool ExpressionAnalyzer::tryExtractConstValueFromCondition(const ASTPtr & condition, bool & value) const
{
    /// numeric constant in condition
    if (const ASTLiteral * literal = typeid_cast<ASTLiteral *>(condition.get()))
    {
        if (literal->value.getType() == Field::Types::Int64 ||
            literal->value.getType() == Field::Types::UInt64)
        {
            value = literal->value.get<Int64>();
            return true;
        }
    }

    /// cast of numeric constant in condition to UInt8
    if (const ASTFunction * function = typeid_cast<ASTFunction * >(condition.get()))
    {
        if (function->name == "CAST")
        {
            if (ASTExpressionList * expr_list = typeid_cast<ASTExpressionList *>(function->arguments.get()))
            {
                const ASTPtr & type_ast = expr_list->children.at(1);
                if (const ASTLiteral * type_literal = typeid_cast<ASTLiteral *>(type_ast.get()))
                {
                    if (type_literal->value.getType() == Field::Types::String &&
                        type_literal->value.get<std::string>() == "UInt8")
                        return tryExtractConstValueFromCondition(expr_list->children.at(0), value);
                }
            }
        }
    }

    return false;
}

void ExpressionAnalyzer::optimizeIfWithConstantConditionImpl(ASTPtr & current_ast, ExpressionAnalyzer::Aliases & aliases) const
{
    if (!current_ast)
        return;

    for (ASTPtr & child : current_ast->children)
    {
        ASTFunction * function_node = typeid_cast<ASTFunction *>(child.get());
        if (!function_node || function_node->name != "if")
        {
            optimizeIfWithConstantConditionImpl(child, aliases);
            continue;
        }

        optimizeIfWithConstantConditionImpl(function_node->arguments, aliases);
        ASTExpressionList * args = typeid_cast<ASTExpressionList *>(function_node->arguments.get());

        if (args->children.size() != 3)
            throw Exception("Wrong number of arguments for function 'if' (" + toString(args->children.size()) + " instead of 3)",
                ErrorCodes::NUMBER_OF_ARGUMENTS_DOESNT_MATCH);

        ASTPtr condition_expr = args->children[0];
        ASTPtr then_expr = args->children[1];
        ASTPtr else_expr = args->children[2];

        bool condition;
        if (tryExtractConstValueFromCondition(condition_expr, condition))
        {
            ASTPtr replace_ast = condition ? then_expr : else_expr;
            ASTPtr child_copy = child;
            String replace_alias = replace_ast->tryGetAlias();
            String if_alias = child->tryGetAlias();

            if (replace_alias.empty())
            {
                replace_ast->setAlias(if_alias);
                child = replace_ast;
            }
            else
            {
                /// Only copy of one node is required here.
                /// But IAST has only method for deep copy of subtree.
                /// This can be a reason of performance degradation in case of deep queries.
                ASTPtr replace_ast_deep_copy = replace_ast->clone();
                replace_ast_deep_copy->setAlias(if_alias);
                child = replace_ast_deep_copy;
            }

            if (!if_alias.empty())
            {
                auto alias_it = aliases.find(if_alias);
                if (alias_it != aliases.end() && alias_it->second.get() == child_copy.get())
                    alias_it->second = child;
            }
        }
    }
}

void ExpressionAnalyzer::analyzeAggregation()
{
    /** Find aggregation keys (aggregation_keys), information about aggregate functions (aggregate_descriptions),
     *  as well as a set of columns obtained after the aggregation, if any,
     *  or after all the actions that are usually performed before aggregation (aggregated_columns).
     *
     * Everything below (compiling temporary ExpressionActions) - only for the purpose of query analysis (type output).
     */

    if (select_query && (select_query->group_expression_list || select_query->having_expression))
        has_aggregation = true;

    ExpressionActionsPtr temp_actions = std::make_shared<ExpressionActions>(source_columns, settings);

    if (select_query && select_query->array_join_expression_list())
    {
        getRootActions(select_query->array_join_expression_list(), true, false, temp_actions);
        addMultipleArrayJoinAction(temp_actions);
        array_join_columns = temp_actions->getSampleBlock().getNamesAndTypesList();
    }

    if (select_query)
    {
        const ASTTablesInSelectQueryElement * join = select_query->join();
        if (join)
        {
            const auto table_join = static_cast<const ASTTableJoin &>(*join->table_join);
            if (table_join.using_expression_list)
                getRootActions(table_join.using_expression_list, true, false, temp_actions);
            if (table_join.on_expression)
                for (const auto & key_ast : analyzed_join.key_asts_left)
                    getRootActions(key_ast, true, false, temp_actions);

            addJoinAction(temp_actions, true);
        }
    }

    getAggregates(ast, temp_actions);

    if (has_aggregation)
    {
        assertSelect();

        /// Find out aggregation keys.
        if (select_query->group_expression_list)
        {
            NameSet unique_keys;
            ASTs & group_asts = select_query->group_expression_list->children;
            for (ssize_t i = 0; i < ssize_t(group_asts.size()); ++i)
            {
                ssize_t size = group_asts.size();
                getRootActions(group_asts[i], true, false, temp_actions);

                const auto & column_name = group_asts[i]->getColumnName();
                const auto & block = temp_actions->getSampleBlock();

                if (!block.has(column_name))
                    throw Exception("Unknown identifier (in GROUP BY): " + column_name, ErrorCodes::UNKNOWN_IDENTIFIER);

                const auto & col = block.getByName(column_name);

                /// Constant expressions have non-null column pointer at this stage.
                if (col.column && col.column->isColumnConst())
                {
                    /// But don't remove last key column if no aggregate functions, otherwise aggregation will not work.
                    if (!aggregate_descriptions.empty() || size > 1)
                    {
                        if (i + 1 < static_cast<ssize_t>(size))
                            group_asts[i] = std::move(group_asts.back());

                        group_asts.pop_back();

                        --i;
                        continue;
                    }
                }

                NameAndTypePair key{column_name, col.type};

                /// Aggregation keys are uniqued.
                if (!unique_keys.count(key.name))
                {
                    unique_keys.insert(key.name);
                    aggregation_keys.push_back(key);

                    /// Key is no longer needed, therefore we can save a little by moving it.
                    aggregated_columns.push_back(std::move(key));
                }
            }

            if (group_asts.empty())
            {
                select_query->group_expression_list = nullptr;
                has_aggregation = select_query->having_expression || aggregate_descriptions.size();
            }
        }

        for (size_t i = 0; i < aggregate_descriptions.size(); ++i)
        {
            AggregateDescription & desc = aggregate_descriptions[i];
            aggregated_columns.emplace_back(desc.column_name, desc.function->getReturnType());
        }
    }
    else
    {
        aggregated_columns = temp_actions->getSampleBlock().getNamesAndTypesList();
    }
}


void ExpressionAnalyzer::initGlobalSubqueriesAndExternalTables()
{
    /// Adds existing external tables (not subqueries) to the external_tables dictionary.
    findExternalTables(ast);

    /// Converts GLOBAL subqueries to external tables; Puts them into the external_tables dictionary: name -> StoragePtr.
    initGlobalSubqueries(ast);
}


void ExpressionAnalyzer::initGlobalSubqueries(ASTPtr & ast)
{
    /// Recursive calls. We do not go into subqueries.

    for (auto & child : ast->children)
        if (!typeid_cast<ASTSelectQuery *>(child.get()))
            initGlobalSubqueries(child);

    /// Bottom-up actions.

    if (ASTFunction * node = typeid_cast<ASTFunction *>(ast.get()))
    {
        /// For GLOBAL IN.
        if (do_global && (node->name == "globalIn" || node->name == "globalNotIn"))
            addExternalStorage(node->arguments->children.at(1));
    }
    else if (ASTTablesInSelectQueryElement * node = typeid_cast<ASTTablesInSelectQueryElement *>(ast.get()))
    {
        /// For GLOBAL JOIN.
        if (do_global && node->table_join
            && static_cast<const ASTTableJoin &>(*node->table_join).locality == ASTTableJoin::Locality::Global)
            addExternalStorage(node->table_expression);
    }
}


void ExpressionAnalyzer::findExternalTables(ASTPtr & ast)
{
    /// Traverse from the bottom. Intentionally go into subqueries.
    for (auto & child : ast->children)
        findExternalTables(child);

    /// If table type identifier
    StoragePtr external_storage;

    if (ASTIdentifier * node = typeid_cast<ASTIdentifier *>(ast.get()))
        if (node->kind == ASTIdentifier::Table)
            if ((external_storage = context.tryGetExternalTable(node->name)))
                external_tables[node->name] = external_storage;
}

static std::shared_ptr<InterpreterSelectWithUnionQuery> interpretSubquery(
    const ASTPtr & subquery_or_table_name, const Context & context, size_t subquery_depth, const Names & required_source_columns)
{
    /// Subquery or table name. The name of the table is similar to the subquery `SELECT * FROM t`.
    const ASTSubquery * subquery = typeid_cast<const ASTSubquery *>(subquery_or_table_name.get());
    const ASTIdentifier * table = typeid_cast<const ASTIdentifier *>(subquery_or_table_name.get());

    if (!subquery && !table)
        throw Exception("IN/JOIN supports only SELECT subqueries.", ErrorCodes::BAD_ARGUMENTS);

    /** The subquery in the IN / JOIN section does not have any restrictions on the maximum size of the result.
      * Because the result of this query is not the result of the entire query.
      * Constraints work instead
      *  max_rows_in_set, max_bytes_in_set, set_overflow_mode,
      *  max_rows_in_join, max_bytes_in_join, join_overflow_mode,
      *  which are checked separately (in the Set, Join objects).
      */
    Context subquery_context = context;
    Settings subquery_settings = context.getSettings();
    subquery_settings.max_result_rows = 0;
    subquery_settings.max_result_bytes = 0;
    /// The calculation of `extremes` does not make sense and is not necessary (if you do it, then the `extremes` of the subquery can be taken instead of the whole query).
    subquery_settings.extremes = 0;
    subquery_context.setSettings(subquery_settings);

    ASTPtr query;
    if (table)
    {
        /// create ASTSelectQuery for "SELECT * FROM table" as if written by hand
        const auto select_with_union_query = std::make_shared<ASTSelectWithUnionQuery>();
        query = select_with_union_query;

        select_with_union_query->list_of_selects = std::make_shared<ASTExpressionList>();

        const auto select_query = std::make_shared<ASTSelectQuery>();
        select_with_union_query->list_of_selects->children.push_back(select_query);

        const auto select_expression_list = std::make_shared<ASTExpressionList>();
        select_query->select_expression_list = select_expression_list;
        select_query->children.emplace_back(select_query->select_expression_list);

        /// get columns list for target table
        auto database_table = getDatabaseAndTableNameFromIdentifier(*table);
        const auto & storage = context.getTable(database_table.first, database_table.second);
        const auto & columns = storage->getColumns().ordinary;
        select_expression_list->children.reserve(columns.size());

        /// manually substitute column names in place of asterisk
        for (const auto & column : columns)
            select_expression_list->children.emplace_back(std::make_shared<ASTIdentifier>(column.name));

        select_query->replaceDatabaseAndTable(database_table.first, database_table.second);
    }
    else
    {
        query = subquery->children.at(0);

        /** Columns with the same name can be specified in a subquery. For example, SELECT x, x FROM t
          * This is bad, because the result of such a query can not be saved to the table, because the table can not have the same name columns.
          * Saving to the table is required for GLOBAL subqueries.
          *
          * To avoid this situation, we will rename the same columns.
          */

        std::set<std::string> all_column_names;
        std::set<std::string> assigned_column_names;

        if (ASTSelectWithUnionQuery * select_with_union = typeid_cast<ASTSelectWithUnionQuery *>(query.get()))
        {
            if (ASTSelectQuery * select = typeid_cast<ASTSelectQuery *>(select_with_union->list_of_selects->children.at(0).get()))
            {
                for (auto & expr : select->select_expression_list->children)
                    all_column_names.insert(expr->getAliasOrColumnName());

                for (auto & expr : select->select_expression_list->children)
                {
                    auto name = expr->getAliasOrColumnName();

                    if (!assigned_column_names.insert(name).second)
                    {
                        size_t i = 1;
                        while (all_column_names.end() != all_column_names.find(name + "_" + toString(i)))
                            ++i;

                        name = name + "_" + toString(i);
                        expr = expr->clone();   /// Cancels fuse of the same expressions in the tree.
                        expr->setAlias(name);

                        all_column_names.insert(name);
                        assigned_column_names.insert(name);
                    }
                }
            }
        }
    }

    return std::make_shared<InterpreterSelectWithUnionQuery>(
        query, subquery_context, required_source_columns, QueryProcessingStage::Complete, subquery_depth + 1);
}


void ExpressionAnalyzer::addExternalStorage(ASTPtr & subquery_or_table_name_or_table_expression)
{
    /// With nondistributed queries, creating temporary tables does not make sense.
    if (!(storage && storage->isRemote()))
        return;

    ASTPtr subquery;
    ASTPtr table_name;
    ASTPtr subquery_or_table_name;

    if (typeid_cast<const ASTIdentifier *>(subquery_or_table_name_or_table_expression.get()))
    {
        table_name = subquery_or_table_name_or_table_expression;
        subquery_or_table_name = table_name;
    }
    else if (auto ast_table_expr = typeid_cast<const ASTTableExpression *>(subquery_or_table_name_or_table_expression.get()))
    {
        if (ast_table_expr->database_and_table_name)
        {
            table_name = ast_table_expr->database_and_table_name;
            subquery_or_table_name = table_name;
        }
        else if (ast_table_expr->subquery)
        {
            subquery = ast_table_expr->subquery;
            subquery_or_table_name = subquery;
        }
    }
    else if (typeid_cast<const ASTSubquery *>(subquery_or_table_name_or_table_expression.get()))
    {
        subquery = subquery_or_table_name_or_table_expression;
        subquery_or_table_name = subquery;
    }

    if (!subquery_or_table_name)
        throw Exception("Logical error: unknown AST element passed to ExpressionAnalyzer::addExternalStorage method", ErrorCodes::LOGICAL_ERROR);

    if (table_name)
    {
        /// If this is already an external table, you do not need to add anything. Just remember its presence.
        if (external_tables.end() != external_tables.find(static_cast<const ASTIdentifier &>(*table_name).name))
            return;
    }

    /// Generate the name for the external table.
    String external_table_name = "_data" + toString(external_table_id);
    while (external_tables.count(external_table_name))
    {
        ++external_table_id;
        external_table_name = "_data" + toString(external_table_id);
    }

    auto interpreter = interpretSubquery(subquery_or_table_name, context, subquery_depth, {});

    Block sample = interpreter->getSampleBlock();
    NamesAndTypesList columns = sample.getNamesAndTypesList();

    StoragePtr external_storage = StorageMemory::create(external_table_name, ColumnsDescription{columns});
    external_storage->startup();

    /** We replace the subquery with the name of the temporary table.
        * It is in this form, the request will go to the remote server.
        * This temporary table will go to the remote server, and on its side,
        *  instead of doing a subquery, you just need to read it.
        */

    auto database_and_table_name = std::make_shared<ASTIdentifier>(external_table_name, ASTIdentifier::Table);

    if (auto ast_table_expr = typeid_cast<ASTTableExpression *>(subquery_or_table_name_or_table_expression.get()))
    {
        ast_table_expr->subquery.reset();
        ast_table_expr->database_and_table_name = database_and_table_name;

        ast_table_expr->children.clear();
        ast_table_expr->children.emplace_back(database_and_table_name);
    }
    else
        subquery_or_table_name_or_table_expression = database_and_table_name;

    external_tables[external_table_name] = external_storage;
    subqueries_for_sets[external_table_name].source = interpreter->execute().in;
    subqueries_for_sets[external_table_name].table = external_storage;

    /** NOTE If it was written IN tmp_table - the existing temporary (but not external) table,
      *  then a new temporary table will be created (for example, _data1),
      *  and the data will then be copied to it.
      * Maybe this can be avoided.
      */
}


static NamesAndTypesList::iterator findColumn(const String & name, NamesAndTypesList & cols)
{
    return std::find_if(cols.begin(), cols.end(),
        [&](const NamesAndTypesList::value_type & val) { return val.name == name; });
}


/// ignore_levels - aliases in how many upper levels of the subtree should be ignored.
/// For example, with ignore_levels=1 ast can not be put in the dictionary, but its children can.
void ExpressionAnalyzer::addASTAliases(ASTPtr & ast, int ignore_levels)
{
    /// Bottom-up traversal. We do not go into subqueries.
    for (auto & child : ast->children)
    {
        int new_ignore_levels = std::max(0, ignore_levels - 1);

        /// The top-level aliases in the ARRAY JOIN section have a special meaning, we will not add them
        ///  (skip the expression list itself and its children).
        if (typeid_cast<ASTArrayJoin *>(ast.get()))
            new_ignore_levels = 3;

        /// Don't descent into table functions and subqueries.
        if (!typeid_cast<ASTTableExpression *>(child.get())
            && !typeid_cast<ASTSelectWithUnionQuery *>(child.get()))
            addASTAliases(child, new_ignore_levels);
    }

    if (ignore_levels > 0)
        return;

    String alias = ast->tryGetAlias();
    if (!alias.empty())
    {
        if (aliases.count(alias) && ast->getTreeHash() != aliases[alias]->getTreeHash())
        {
            std::stringstream message;
            message << "Different expressions with the same alias " << backQuoteIfNeed(alias) << ":\n";
            formatAST(*ast, message, false, true);
            message << "\nand\n";
            formatAST(*aliases[alias], message, false, true);
            message << "\n";

            throw Exception(message.str(), ErrorCodes::MULTIPLE_EXPRESSIONS_FOR_ALIAS);
        }

        aliases[alias] = ast;
    }
    else if (auto subquery = typeid_cast<ASTSubquery *>(ast.get()))
    {
        /// Set unique aliases for all subqueries. This is needed, because content of subqueries could change after recursive analysis,
        ///  and auto-generated column names could become incorrect.

        size_t subquery_index = 1;
        while (true)
        {
            alias = "_subquery" + toString(subquery_index);
            if (!aliases.count("_subquery" + toString(subquery_index)))
                break;
            ++subquery_index;
        }

        subquery->setAlias(alias);
        subquery->prefer_alias_to_column_name = true;
        aliases[alias] = ast;
    }
}


void ExpressionAnalyzer::normalizeTree()
{
    SetOfASTs tmp_set;
    MapOfASTs tmp_map;
    normalizeTreeImpl(ast, tmp_map, tmp_set, "", 0);

    try
    {
        ast->checkSize(settings.max_expanded_ast_elements);
    }
    catch (Exception & e)
    {
        e.addMessage("(after expansion of aliases)");
        throw;
    }
}


/// finished_asts - already processed vertices (and by what they replaced)
/// current_asts - vertices in the current call stack of this method
/// current_alias - the alias referencing to the ancestor of ast (the deepest ancestor with aliases)
void ExpressionAnalyzer::normalizeTreeImpl(
    ASTPtr & ast, MapOfASTs & finished_asts, SetOfASTs & current_asts, std::string current_alias, size_t level)
{
    if (level > settings.max_ast_depth)
        throw Exception("Normalized AST is too deep. Maximum: "
            + settings.max_ast_depth.toString(), ErrorCodes::TOO_DEEP_AST);

    if (finished_asts.count(ast))
    {
        ast = finished_asts[ast];
        return;
    }

    ASTPtr initial_ast = ast;
    current_asts.insert(initial_ast.get());

    String my_alias = ast->tryGetAlias();
    if (!my_alias.empty())
        current_alias = my_alias;

    /// rewrite rules that act when you go from top to bottom.
    bool replaced = false;

    ASTIdentifier * identifier_node = nullptr;
    ASTFunction * func_node = nullptr;

    if ((func_node = typeid_cast<ASTFunction *>(ast.get())))
    {
        /// `IN t` can be specified, where t is a table, which is equivalent to `IN (SELECT * FROM t)`.
        if (functionIsInOrGlobalInOperator(func_node->name))
            if (ASTIdentifier * right = typeid_cast<ASTIdentifier *>(func_node->arguments->children.at(1).get()))
                if (!aliases.count(right->name))
                    right->kind = ASTIdentifier::Table;

        /// Special cases for count function.
        String func_name_lowercase = Poco::toLower(func_node->name);
        if (startsWith(func_name_lowercase, "count"))
        {
            /// Select implementation of countDistinct based on settings.
            /// Important that it is done as query rewrite. It means rewritten query
            ///  will be sent to remote servers during distributed query execution,
            ///  and on all remote servers, function implementation will be same.
            if (endsWith(func_node->name, "Distinct") && func_name_lowercase == "countdistinct")
                func_node->name = settings.count_distinct_implementation;

            /// As special case, treat count(*) as count(), not as count(list of all columns).
            if (func_name_lowercase == "count" && func_node->arguments->children.size() == 1
                && typeid_cast<const ASTAsterisk *>(func_node->arguments->children[0].get()))
            {
                func_node->arguments->children.clear();
            }
        }
    }
    else if ((identifier_node = typeid_cast<ASTIdentifier *>(ast.get())))
    {
        if (identifier_node->kind == ASTIdentifier::Column)
        {
            /// If it is an alias, but not a parent alias (for constructs like "SELECT column + 1 AS column").
            auto it_alias = aliases.find(identifier_node->name);
            if (it_alias != aliases.end() && current_alias != identifier_node->name)
            {
                /// Let's replace it with the corresponding tree node.
                if (current_asts.count(it_alias->second.get()))
                    throw Exception("Cyclic aliases", ErrorCodes::CYCLIC_ALIASES);

                if (!my_alias.empty() && my_alias != it_alias->second->getAliasOrColumnName())
                {
                    /// Avoid infinite recursion here
                    auto replace_to_identifier = typeid_cast<ASTIdentifier *>(it_alias->second.get());
                    bool is_cycle = replace_to_identifier &&
                        replace_to_identifier->kind == ASTIdentifier::Column &&
                        replace_to_identifier->name == identifier_node->name;

                    if (!is_cycle)
                    {
                        /// In a construct like "a AS b", where a is an alias, you must set alias b to the result of substituting alias a.
                        ast = it_alias->second->clone();
                        ast->setAlias(my_alias);
                        replaced = true;
                    }
                }
                else
                {
                    ast = it_alias->second;
                    replaced = true;
                }
            }
        }
    }
    else if (ASTExpressionList * node = typeid_cast<ASTExpressionList *>(ast.get()))
    {
        /// Replace * with a list of columns.
        ASTs & asts = node->children;
        for (int i = static_cast<int>(asts.size()) - 1; i >= 0; --i)
        {
            if (typeid_cast<ASTAsterisk *>(asts[i].get()))
            {
                Names all_columns_name;

                auto columns_name = storage ? storage->getColumns().ordinary.getNames() : source_columns.getNames();
                all_columns_name.insert(all_columns_name.begin(), columns_name.begin(), columns_name.end());

                if (!settings.asterisk_left_columns_only)
                {
                    auto columns_from_joined_table = analyzed_join.getColumnsFromJoinedTable(context, select_query).getNames();
                    all_columns_name.insert(all_columns_name.end(), columns_from_joined_table.begin(), columns_from_joined_table.end());
                }

                asts.erase(asts.begin() + i);
                for (size_t idx = 0; idx < all_columns_name.size(); idx++)
                    asts.insert(asts.begin() + idx + i, std::make_shared<ASTIdentifier>(all_columns_name[idx]));
            }
        }
    }
    else if (ASTTablesInSelectQueryElement * node = typeid_cast<ASTTablesInSelectQueryElement *>(ast.get()))
    {
        if (node->table_expression)
        {
            auto & database_and_table_name = static_cast<ASTTableExpression &>(*node->table_expression).database_and_table_name;
            if (database_and_table_name)
            {
                if (ASTIdentifier * right = typeid_cast<ASTIdentifier *>(database_and_table_name.get()))
                {
                    right->kind = ASTIdentifier::Table;
                }
            }
        }
    }

    /// If we replace the root of the subtree, we will be called again for the new root, in case the alias is replaced by an alias.
    if (replaced)
    {
        normalizeTreeImpl(ast, finished_asts, current_asts, current_alias, level + 1);
        current_asts.erase(initial_ast.get());
        current_asts.erase(ast.get());
        finished_asts[initial_ast] = ast;
        return;
    }

    /// Recurring calls. Don't go into subqueries. Don't go into components of compound identifiers.
    /// We also do not go to the left argument of lambda expressions, so as not to replace the formal parameters
    ///  on aliases in expressions of the form 123 AS x, arrayMap(x -> 1, [2]).

    if (func_node && func_node->name == "lambda")
    {
        /// We skip the first argument. We also assume that the lambda function can not have parameters.
        for (size_t i = 1, size = func_node->arguments->children.size(); i < size; ++i)
        {
            auto & child = func_node->arguments->children[i];

            if (typeid_cast<const ASTSelectQuery *>(child.get())
                || typeid_cast<const ASTTableExpression *>(child.get()))
                continue;

            normalizeTreeImpl(child, finished_asts, current_asts, current_alias, level + 1);
        }
    }
    else if (identifier_node)
    {
    }
    else
    {
        for (auto & child : ast->children)
        {
            if (typeid_cast<const ASTSelectQuery *>(child.get())
                || typeid_cast<const ASTTableExpression *>(child.get()))
                continue;

            normalizeTreeImpl(child, finished_asts, current_asts, current_alias, level + 1);
        }
    }

    /// If the WHERE clause or HAVING consists of a single alias, the reference must be replaced not only in children, but also in where_expression and having_expression.
    if (ASTSelectQuery * select = typeid_cast<ASTSelectQuery *>(ast.get()))
    {
        if (select->prewhere_expression)
            normalizeTreeImpl(select->prewhere_expression, finished_asts, current_asts, current_alias, level + 1);
        if (select->where_expression)
            normalizeTreeImpl(select->where_expression, finished_asts, current_asts, current_alias, level + 1);
        if (select->having_expression)
            normalizeTreeImpl(select->having_expression, finished_asts, current_asts, current_alias, level + 1);
    }

    current_asts.erase(initial_ast.get());
    current_asts.erase(ast.get());
    finished_asts[initial_ast] = ast;
}


void ExpressionAnalyzer::addAliasColumns()
{
    if (!select_query)
        return;

    if (!storage)
        return;

    const auto & aliases = storage->getColumns().aliases;
    source_columns.insert(std::end(source_columns), std::begin(aliases), std::end(aliases));
}


void ExpressionAnalyzer::executeScalarSubqueries()
{
    if (!select_query)
        executeScalarSubqueriesImpl(ast);
    else
    {
        for (auto & child : ast->children)
        {
            /// Do not go to FROM, JOIN, UNION.
            if (!typeid_cast<const ASTTableExpression *>(child.get())
                && !typeid_cast<const ASTSelectQuery *>(child.get()))
            {
                executeScalarSubqueriesImpl(child);
            }
        }
    }
}


static ASTPtr addTypeConversion(std::unique_ptr<ASTLiteral> && ast, const String & type_name)
{
    auto func = std::make_shared<ASTFunction>();
    ASTPtr res = func;
    func->alias = ast->alias;
    func->prefer_alias_to_column_name = ast->prefer_alias_to_column_name;
    ast->alias.clear();
    func->name = "CAST";
    auto exp_list = std::make_shared<ASTExpressionList>();
    func->arguments = exp_list;
    func->children.push_back(func->arguments);
    exp_list->children.emplace_back(ast.release());
    exp_list->children.emplace_back(std::make_shared<ASTLiteral>(type_name));
    return res;
}


void ExpressionAnalyzer::executeScalarSubqueriesImpl(ASTPtr & ast)
{
    /** Replace subqueries that return exactly one row
      * ("scalar" subqueries) to the corresponding constants.
      *
      * If the subquery returns more than one column, it is replaced by a tuple of constants.
      *
      * Features
      *
      * A replacement occurs during query analysis, and not during the main runtime.
      * This means that the progress indicator will not work during the execution of these requests,
      *  and also such queries can not be aborted.
      *
      * But the query result can be used for the index in the table.
      *
      * Scalar subqueries are executed on the request-initializer server.
      * The request is sent to remote servers with already substituted constants.
      */

    if (ASTSubquery * subquery = typeid_cast<ASTSubquery *>(ast.get()))
    {
        Context subquery_context = context;
        Settings subquery_settings = context.getSettings();
        subquery_settings.max_result_rows = 1;
        subquery_settings.extremes = 0;
        subquery_context.setSettings(subquery_settings);

        ASTPtr query = subquery->children.at(0);
        BlockIO res = InterpreterSelectWithUnionQuery(query, subquery_context, {}, QueryProcessingStage::Complete, subquery_depth + 1).execute();

        Block block;
        try
        {
            block = res.in->read();

            if (!block)
            {
                /// Interpret subquery with empty result as Null literal
                auto ast_new = std::make_unique<ASTLiteral>(Null());
                ast_new->setAlias(ast->tryGetAlias());
                ast = std::move(ast_new);
                return;
            }

            if (block.rows() != 1 || res.in->read())
                throw Exception("Scalar subquery returned more than one row", ErrorCodes::INCORRECT_RESULT_OF_SCALAR_SUBQUERY);
        }
        catch (const Exception & e)
        {
            if (e.code() == ErrorCodes::TOO_MANY_ROWS)
                throw Exception("Scalar subquery returned more than one row", ErrorCodes::INCORRECT_RESULT_OF_SCALAR_SUBQUERY);
            else
                throw;
        }

        size_t columns = block.columns();
        if (columns == 1)
        {
            auto lit = std::make_unique<ASTLiteral>((*block.safeGetByPosition(0).column)[0]);
            lit->alias = subquery->alias;
            lit->prefer_alias_to_column_name = subquery->prefer_alias_to_column_name;
            ast = addTypeConversion(std::move(lit), block.safeGetByPosition(0).type->getName());
        }
        else
        {
            auto tuple = std::make_shared<ASTFunction>();
            tuple->alias = subquery->alias;
            ast = tuple;
            tuple->name = "tuple";
            auto exp_list = std::make_shared<ASTExpressionList>();
            tuple->arguments = exp_list;
            tuple->children.push_back(tuple->arguments);

            exp_list->children.resize(columns);
            for (size_t i = 0; i < columns; ++i)
            {
                exp_list->children[i] = addTypeConversion(
                    std::make_unique<ASTLiteral>((*block.safeGetByPosition(i).column)[0]),
                    block.safeGetByPosition(i).type->getName());
            }
        }
    }
    else
    {
        /** Don't descend into subqueries in FROM section.
          */
        if (!typeid_cast<ASTTableExpression *>(ast.get()))
        {
            /** Don't descend into subqueries in arguments of IN operator.
              * But if an argument is not subquery, than deeper may be scalar subqueries and we need to descend in them.
              */
            ASTFunction * func = typeid_cast<ASTFunction *>(ast.get());

            if (func && functionIsInOrGlobalInOperator(func->name))
            {
                for (auto & child : ast->children)
                {
                    if (child != func->arguments)
                        executeScalarSubqueriesImpl(child);
                    else
                        for (size_t i = 0, size = func->arguments->children.size(); i < size; ++i)
                            if (i != 1 || !typeid_cast<ASTSubquery *>(func->arguments->children[i].get()))
                                executeScalarSubqueriesImpl(func->arguments->children[i]);
                }
            }
            else
                for (auto & child : ast->children)
                    executeScalarSubqueriesImpl(child);
        }
    }
}


void ExpressionAnalyzer::optimizeGroupBy()
{
    if (!(select_query && select_query->group_expression_list))
        return;

    const auto is_literal = [] (const ASTPtr & ast)
    {
        return typeid_cast<const ASTLiteral *>(ast.get());
    };

    auto & group_exprs = select_query->group_expression_list->children;

    /// removes expression at index idx by making it last one and calling .pop_back()
    const auto remove_expr_at_index = [&group_exprs] (const size_t idx)
    {
        if (idx < group_exprs.size() - 1)
            std::swap(group_exprs[idx], group_exprs.back());

        group_exprs.pop_back();
    };

    /// iterate over each GROUP BY expression, eliminate injective function calls and literals
    for (size_t i = 0; i < group_exprs.size();)
    {
        if (const auto function = typeid_cast<ASTFunction *>(group_exprs[i].get()))
        {
            /// assert function is injective
            if (possibly_injective_function_names.count(function->name))
            {
                /// do not handle semantic errors here
                if (function->arguments->children.size() < 2)
                {
                    ++i;
                    continue;
                }

                const auto & dict_name = typeid_cast<const ASTLiteral &>(*function->arguments->children[0])
                    .value.safeGet<String>();

                const auto & dict_ptr = context.getExternalDictionaries().getDictionary(dict_name);

                const auto & attr_name = typeid_cast<const ASTLiteral &>(*function->arguments->children[1])
                    .value.safeGet<String>();

                if (!dict_ptr->isInjective(attr_name))
                {
                    ++i;
                    continue;
                }
            }
            else if (!injective_function_names.count(function->name))
            {
                ++i;
                continue;
            }

            /// copy shared pointer to args in order to ensure lifetime
            auto args_ast = function->arguments;

            /** remove function call and take a step back to ensure
              * next iteration does not skip not yet processed data
              */
            remove_expr_at_index(i);

            /// copy non-literal arguments
            std::remove_copy_if(
                std::begin(args_ast->children), std::end(args_ast->children),
                std::back_inserter(group_exprs), is_literal
            );
        }
        else if (is_literal(group_exprs[i]))
        {
            remove_expr_at_index(i);
        }
        else
        {
            /// if neither a function nor literal - advance to next expression
            ++i;
        }
    }

    if (group_exprs.empty())
    {
        /** You can not completely remove GROUP BY. Because if there were no aggregate functions, then it turns out that there will be no aggregation.
          * Instead, leave `GROUP BY const`.
          * Next, see deleting the constants in the analyzeAggregation method.
          */

        /// You must insert a constant that is not the name of the column in the table. Such a case is rare, but it happens.
        UInt64 unused_column = 0;
        String unused_column_name = toString(unused_column);

        while (source_columns.end() != std::find_if(source_columns.begin(), source_columns.end(),
            [&unused_column_name](const NameAndTypePair & name_type) { return name_type.name == unused_column_name; }))
        {
            ++unused_column;
            unused_column_name = toString(unused_column);
        }

        select_query->group_expression_list = std::make_shared<ASTExpressionList>();
        select_query->group_expression_list->children.emplace_back(std::make_shared<ASTLiteral>(UInt64(unused_column)));
    }
}


void ExpressionAnalyzer::optimizeOrderBy()
{
    if (!(select_query && select_query->order_expression_list))
        return;

    /// Make unique sorting conditions.
    using NameAndLocale = std::pair<String, String>;
    std::set<NameAndLocale> elems_set;

    ASTs & elems = select_query->order_expression_list->children;
    ASTs unique_elems;
    unique_elems.reserve(elems.size());

    for (const auto & elem : elems)
    {
        String name = elem->children.front()->getColumnName();
        const ASTOrderByElement & order_by_elem = typeid_cast<const ASTOrderByElement &>(*elem);

        if (elems_set.emplace(name, order_by_elem.collation ? order_by_elem.collation->getColumnName() : "").second)
            unique_elems.emplace_back(elem);
    }

    if (unique_elems.size() < elems.size())
        elems = unique_elems;
}


void ExpressionAnalyzer::optimizeLimitBy()
{
    if (!(select_query && select_query->limit_by_expression_list))
        return;

    std::set<String> elems_set;

    ASTs & elems = select_query->limit_by_expression_list->children;
    ASTs unique_elems;
    unique_elems.reserve(elems.size());

    for (const auto & elem : elems)
    {
        if (elems_set.emplace(elem->getColumnName()).second)
            unique_elems.emplace_back(elem);
    }

    if (unique_elems.size() < elems.size())
        elems = unique_elems;
}


void ExpressionAnalyzer::makeSetsForIndex()
{
    if (storage && select_query && storage->supportsIndexForIn())
    {
        if (select_query->where_expression)
            makeSetsForIndexImpl(select_query->where_expression, storage->getSampleBlock());
        if (select_query->prewhere_expression)
            makeSetsForIndexImpl(select_query->prewhere_expression, storage->getSampleBlock());
    }
}


void ExpressionAnalyzer::tryMakeSetForIndexFromSubquery(const ASTPtr & subquery_or_table_name)
{
    BlockIO res = interpretSubquery(subquery_or_table_name, context, subquery_depth + 1, {})->execute();

    SizeLimits set_for_index_size_limits = SizeLimits(settings.max_rows_in_set, settings.max_bytes_in_set, settings.set_overflow_mode);
    SetPtr set = std::make_shared<Set>(set_for_index_size_limits, true);

    set->setHeader(res.in->getHeader());
    while (Block block = res.in->read())
    {
        /// If the limits have been exceeded, give up and let the default subquery processing actions take place.
        if (!set->insertFromBlock(block))
            return;
    }

    prepared_sets[subquery_or_table_name->range] = std::move(set);
}


void ExpressionAnalyzer::makeSetsForIndexImpl(const ASTPtr & node, const Block & sample_block)
{
    for (auto & child : node->children)
    {
        /// Don't descent into subqueries.
        if (typeid_cast<ASTSubquery *>(child.get()))
            continue;

        /// Don't dive into lambda functions
        const ASTFunction * func = typeid_cast<const ASTFunction *>(child.get());
        if (func && func->name == "lambda")
            continue;

        makeSetsForIndexImpl(child, sample_block);
    }

    const ASTFunction * func = typeid_cast<const ASTFunction *>(node.get());
    if (func && functionIsInOperator(func->name))
    {
        const IAST & args = *func->arguments;

        if (storage && storage->mayBenefitFromIndexForIn(args.children.at(0)))
        {
            const ASTPtr & arg = args.children.at(1);

            if (!prepared_sets.count(arg->range)) /// Not already prepared.
            {
                if (typeid_cast<ASTSubquery *>(arg.get()) || typeid_cast<ASTIdentifier *>(arg.get()))
                {
                    if (settings.use_index_for_in_with_subqueries)
                        tryMakeSetForIndexFromSubquery(arg);
                }
                else
                {
                    NamesAndTypesList temp_columns = source_columns;
                    temp_columns.insert(temp_columns.end(), array_join_columns.begin(), array_join_columns.end());
                    for (const auto & joined_column : analyzed_join.columns_added_by_join)
                        temp_columns.push_back(joined_column.name_and_type);
                    ExpressionActionsPtr temp_actions = std::make_shared<ExpressionActions>(temp_columns, settings);
                    getRootActions(func->arguments->children.at(0), true, false, temp_actions);

                    Block sample_block_with_calculated_columns = temp_actions->getSampleBlock();
                    if (sample_block_with_calculated_columns.has(args.children.at(0)->getColumnName()))
                        makeExplicitSet(func, sample_block_with_calculated_columns, true);
                }
            }
        }
    }
}


void ExpressionAnalyzer::makeSet(const ASTFunction * node, const Block & sample_block)
{
    /** You need to convert the right argument to a set.
      * This can be a table name, a value, a value enumeration, or a subquery.
      * The enumeration of values is parsed as a function `tuple`.
      */
    const IAST & args = *node->arguments;
    const ASTPtr & arg = args.children.at(1);

    /// Already converted.
    if (prepared_sets.count(arg->range))
        return;

    /// If the subquery or table name for SELECT.
    const ASTIdentifier * identifier = typeid_cast<const ASTIdentifier *>(arg.get());
    if (typeid_cast<const ASTSubquery *>(arg.get()) || identifier)
    {
        /// We get the stream of blocks for the subquery. Create Set and put it in place of the subquery.
        String set_id = arg->getColumnName();

        /// A special case is if the name of the table is specified on the right side of the IN statement,
        ///  and the table has the type Set (a previously prepared set).
        if (identifier)
        {
            auto database_table = getDatabaseAndTableNameFromIdentifier(*identifier);
            StoragePtr table = context.tryGetTable(database_table.first, database_table.second);

            if (table)
            {
                StorageSet * storage_set = dynamic_cast<StorageSet *>(table.get());

                if (storage_set)
                {
                    prepared_sets[arg->range] = storage_set->getSet();
                    return;
                }
            }
        }

        SubqueryForSet & subquery_for_set = subqueries_for_sets[set_id];

        /// If you already created a Set with the same subquery / table.
        if (subquery_for_set.set)
        {
            prepared_sets[arg->range] = subquery_for_set.set;
            return;
        }

        SetPtr set = std::make_shared<Set>(SizeLimits(settings.max_rows_in_set, settings.max_bytes_in_set, settings.set_overflow_mode), false);

        /** The following happens for GLOBAL INs:
          * - in the addExternalStorage function, the IN (SELECT ...) subquery is replaced with IN _data1,
          *   in the subquery_for_set object, this subquery is set as source and the temporary table _data1 as the table.
          * - this function shows the expression IN_data1.
          */
        if (!subquery_for_set.source && (!storage || !storage->isRemote()))
        {
            auto interpreter = interpretSubquery(arg, context, subquery_depth, {});
            subquery_for_set.source = std::make_shared<LazyBlockInputStream>(
                interpreter->getSampleBlock(), [interpreter]() mutable { return interpreter->execute().in; });

            /** Why is LazyBlockInputStream used?
              *
              * The fact is that when processing a query of the form
              *  SELECT ... FROM remote_test WHERE column GLOBAL IN (subquery),
              *  if the distributed remote_test table contains localhost as one of the servers,
              *  the query will be interpreted locally again (and not sent over TCP, as in the case of a remote server).
              *
              * The query execution pipeline will be:
              * CreatingSets
              *  subquery execution, filling the temporary table with _data1 (1)
              *  CreatingSets
              *   reading from the table _data1, creating the set (2)
              *   read from the table subordinate to remote_test.
              *
              * (The second part of the pipeline under CreateSets is a reinterpretation of the query inside StorageDistributed,
              *  the query differs in that the database name and tables are replaced with subordinates, and the subquery is replaced with _data1.)
              *
              * But when creating the pipeline, when creating the source (2), it will be found that the _data1 table is empty
              *  (because the query has not started yet), and empty source will be returned as the source.
              * And then, when the query is executed, an empty set will be created in step (2).
              *
              * Therefore, we make the initialization of step (2) lazy
              *  - so that it does not occur until step (1) is completed, on which the table will be populated.
              *
              * Note: this solution is not very good, you need to think better.
              */
        }

        subquery_for_set.set = set;
        prepared_sets[arg->range] = set;
    }
    else
    {
        /// An explicit enumeration of values in parentheses.
        makeExplicitSet(node, sample_block, false);
    }
}

/// The case of an explicit enumeration of values.
void ExpressionAnalyzer::makeExplicitSet(const ASTFunction * node, const Block & sample_block, bool create_ordered_set)
{
    const IAST & args = *node->arguments;

    if (args.children.size() != 2)
        throw Exception("Wrong number of arguments passed to function in", ErrorCodes::NUMBER_OF_ARGUMENTS_DOESNT_MATCH);

    const ASTPtr & left_arg = args.children.at(0);
    const ASTPtr & right_arg = args.children.at(1);

    auto getTupleTypeFromAst = [this](const ASTPtr & node) -> DataTypePtr
    {
        auto ast_function = typeid_cast<const ASTFunction *>(node.get());
        if (ast_function && ast_function->name == "tuple" && !ast_function->arguments->children.empty())
        {
            /// Won't parse all values of outer tuple.
            auto element = ast_function->arguments->children.at(0);
            std::pair<Field, DataTypePtr> value_raw = evaluateConstantExpression(element, context);
            return std::make_shared<DataTypeTuple>(DataTypes({value_raw.second}));
        }

        return evaluateConstantExpression(node, context).second;
    };

    const DataTypePtr & left_arg_type = sample_block.getByName(left_arg->getColumnName()).type;
    const DataTypePtr & right_arg_type = getTupleTypeFromAst(right_arg);

    std::function<size_t(const DataTypePtr &)> getTupleDepth;
    getTupleDepth = [&getTupleDepth](const DataTypePtr & type) -> size_t
    {
        if (auto tuple_type = typeid_cast<const DataTypeTuple *>(type.get()))
            return 1 + (tuple_type->getElements().empty() ? 0 : getTupleDepth(tuple_type->getElements().at(0)));

        return 0;
    };

    size_t left_tuple_depth = getTupleDepth(left_arg_type);
    size_t right_tuple_depth = getTupleDepth(right_arg_type);

    DataTypes set_element_types = {left_arg_type};
    auto left_tuple_type = typeid_cast<const DataTypeTuple *>(left_arg_type.get());
    if (left_tuple_type && left_tuple_type->getElements().size() != 1)
        set_element_types = left_tuple_type->getElements();

    ASTPtr elements_ast = nullptr;

    /// 1 in 1; (1, 2) in (1, 2); identity(tuple(tuple(tuple(1)))) in tuple(tuple(tuple(1))); etc.
    if (left_tuple_depth == right_tuple_depth)
    {
        ASTPtr exp_list = std::make_shared<ASTExpressionList>();
        exp_list->children.push_back(right_arg);
        elements_ast = exp_list;
    }
    /// 1 in (1, 2); (1, 2) in ((1, 2), (3, 4)); etc.
    else if (left_tuple_depth + 1 == right_tuple_depth)
    {
        ASTFunction * set_func = typeid_cast<ASTFunction *>(right_arg.get());

        if (!set_func || set_func->name != "tuple")
            throw Exception("Incorrect type of 2nd argument for function " + node->name
                            + ". Must be subquery or set of elements with type " + left_arg_type->getName() + ".",
                            ErrorCodes::ILLEGAL_TYPE_OF_ARGUMENT);

        elements_ast = set_func->arguments;
    }
    else
        throw Exception("Invalid types for IN function: "
                        + left_arg_type->getName() + " and " + right_arg_type->getName() + ".",
                        ErrorCodes::ILLEGAL_TYPE_OF_ARGUMENT);

    SetPtr set = std::make_shared<Set>(SizeLimits(settings.max_rows_in_set, settings.max_bytes_in_set, settings.set_overflow_mode), create_ordered_set);
    set->createFromAST(set_element_types, elements_ast, context);
    prepared_sets[right_arg->range] = std::move(set);
}


static String getUniqueName(const Block & block, const String & prefix)
{
    int i = 1;
    while (block.has(prefix + toString(i)))
        ++i;
    return prefix + toString(i);
}

/** For getActionsImpl.
  * A stack of ExpressionActions corresponding to nested lambda expressions.
  * The new action should be added to the highest possible level.
  * For example, in the expression "select arrayMap(x -> x + column1 * column2, array1)"
  *  calculation of the product must be done outside the lambda expression (it does not depend on x), and the calculation of the sum is inside (depends on x).
  */
ScopeStack::ScopeStack(const ExpressionActionsPtr & actions, const Settings & settings_)
    : settings(settings_)
{
    stack.emplace_back();
    stack.back().actions = actions;

    const Block & sample_block = actions->getSampleBlock();
    for (size_t i = 0, size = sample_block.columns(); i < size; ++i)
        stack.back().new_columns.insert(sample_block.getByPosition(i).name);
}

void ScopeStack::pushLevel(const NamesAndTypesList & input_columns)
{
    stack.emplace_back();
    Level & prev = stack[stack.size() - 2];

    ColumnsWithTypeAndName all_columns;
    NameSet new_names;

    for (NamesAndTypesList::const_iterator it = input_columns.begin(); it != input_columns.end(); ++it)
    {
        all_columns.emplace_back(nullptr, it->type, it->name);
        new_names.insert(it->name);
        stack.back().new_columns.insert(it->name);
    }

    const Block & prev_sample_block = prev.actions->getSampleBlock();
    for (size_t i = 0, size = prev_sample_block.columns(); i < size; ++i)
    {
        const ColumnWithTypeAndName & col = prev_sample_block.getByPosition(i);
        if (!new_names.count(col.name))
            all_columns.push_back(col);
    }

    stack.back().actions = std::make_shared<ExpressionActions>(all_columns, settings);
}

size_t ScopeStack::getColumnLevel(const std::string & name)
{
    for (int i = static_cast<int>(stack.size()) - 1; i >= 0; --i)
        if (stack[i].new_columns.count(name))
            return i;

    throw Exception("Unknown identifier: " + name, ErrorCodes::UNKNOWN_IDENTIFIER);
}

void ScopeStack::addAction(const ExpressionAction & action)
{
    size_t level = 0;
    Names required = action.getNeededColumns();
    for (size_t i = 0; i < required.size(); ++i)
        level = std::max(level, getColumnLevel(required[i]));

    Names added;
    stack[level].actions->add(action, added);

    stack[level].new_columns.insert(added.begin(), added.end());

    for (size_t i = 0; i < added.size(); ++i)
    {
        const ColumnWithTypeAndName & col = stack[level].actions->getSampleBlock().getByName(added[i]);
        for (size_t j = level + 1; j < stack.size(); ++j)
            stack[j].actions->addInput(col);
    }
}

ExpressionActionsPtr ScopeStack::popLevel()
{
    ExpressionActionsPtr res = stack.back().actions;
    stack.pop_back();
    return res;
}

const Block & ScopeStack::getSampleBlock() const
{
    return stack.back().actions->getSampleBlock();
}

void ExpressionAnalyzer::getRootActions(const ASTPtr & ast, bool no_subqueries, bool only_consts, ExpressionActionsPtr & actions)
{
    ScopeStack scopes(actions, settings);

    ProjectionManipulatorPtr projection_manipulator;
    if (!isThereArrayJoin(ast) && settings.enable_conditional_computation && !only_consts)
        projection_manipulator = std::make_shared<ConditionalTree>(scopes, context);
    else
        projection_manipulator = std::make_shared<DefaultProjectionManipulator>(scopes);

    getActionsImpl(ast, no_subqueries, only_consts, scopes, projection_manipulator);

    actions = scopes.popLevel();
}

void ExpressionAnalyzer::getArrayJoinedColumns()
{
    if (select_query && select_query->array_join_expression_list())
    {
        ASTs & array_join_asts = select_query->array_join_expression_list()->children;
        for (const auto & ast : array_join_asts)
        {
            const String nested_table_name = ast->getColumnName();
            const String nested_table_alias = ast->getAliasOrColumnName();

            if (nested_table_alias == nested_table_name && !typeid_cast<const ASTIdentifier *>(ast.get()))
                throw Exception("No alias for non-trivial value in ARRAY JOIN: " + nested_table_name, ErrorCodes::ALIAS_REQUIRED);

            if (array_join_alias_to_name.count(nested_table_alias) || aliases.count(nested_table_alias))
                throw Exception("Duplicate alias in ARRAY JOIN: " + nested_table_alias, ErrorCodes::MULTIPLE_EXPRESSIONS_FOR_ALIAS);

            array_join_alias_to_name[nested_table_alias] = nested_table_name;
            array_join_name_to_alias[nested_table_name] = nested_table_alias;
        }

        getArrayJoinedColumnsImpl(ast);

        /// If the result of ARRAY JOIN is not used, it is necessary to ARRAY-JOIN any column,
        /// to get the correct number of rows.
        if (array_join_result_to_source.empty())
        {
            ASTPtr expr = select_query->array_join_expression_list()->children.at(0);
            String source_name = expr->getColumnName();
            String result_name = expr->getAliasOrColumnName();

            /// This is an array.
            if (!typeid_cast<ASTIdentifier *>(expr.get()) || findColumn(source_name, source_columns) != source_columns.end())
            {
                array_join_result_to_source[result_name] = source_name;
            }
            else /// This is a nested table.
            {
                bool found = false;
                for (const auto & column_name_type : source_columns)
                {
                    auto splitted = Nested::splitName(column_name_type.name);
                    if (splitted.first == source_name && !splitted.second.empty())
                    {
                        array_join_result_to_source[Nested::concatenateName(result_name, splitted.second)] = column_name_type.name;
                        found = true;
                        break;
                    }
                }
                if (!found)
                    throw Exception("No columns in nested table " + source_name, ErrorCodes::EMPTY_NESTED_TABLE);
            }
        }
    }
}


/// Fills the array_join_result_to_source: on which columns-arrays to replicate, and how to call them after that.
void ExpressionAnalyzer::getArrayJoinedColumnsImpl(const ASTPtr & ast)
{
    if (typeid_cast<ASTTablesInSelectQuery *>(ast.get()))
        return;

    if (ASTIdentifier * node = typeid_cast<ASTIdentifier *>(ast.get()))
    {
        if (node->kind == ASTIdentifier::Column)
        {
            auto splitted = Nested::splitName(node->name);  /// ParsedParams, Key1

            if (array_join_alias_to_name.count(node->name))
            {
                /// ARRAY JOIN was written with an array column. Example: SELECT K1 FROM ... ARRAY JOIN ParsedParams.Key1 AS K1
                array_join_result_to_source[node->name] = array_join_alias_to_name[node->name];    /// K1 -> ParsedParams.Key1
            }
            else if (array_join_alias_to_name.count(splitted.first) && !splitted.second.empty())
            {
                /// ARRAY JOIN was written with a nested table. Example: SELECT PP.KEY1 FROM ... ARRAY JOIN ParsedParams AS PP
                array_join_result_to_source[node->name]    /// PP.Key1 -> ParsedParams.Key1
                    = Nested::concatenateName(array_join_alias_to_name[splitted.first], splitted.second);
            }
            else if (array_join_name_to_alias.count(node->name))
            {
                /** Example: SELECT ParsedParams.Key1 FROM ... ARRAY JOIN ParsedParams.Key1 AS PP.Key1.
                  * That is, the query uses the original array, replicated by itself.
                  */
                array_join_result_to_source[    /// PP.Key1 -> ParsedParams.Key1
                    array_join_name_to_alias[node->name]] = node->name;
            }
            else if (array_join_name_to_alias.count(splitted.first) && !splitted.second.empty())
            {
                /** Example: SELECT ParsedParams.Key1 FROM ... ARRAY JOIN ParsedParams AS PP.
                 */
                array_join_result_to_source[    /// PP.Key1 -> ParsedParams.Key1
                Nested::concatenateName(array_join_name_to_alias[splitted.first], splitted.second)] = node->name;
            }
        }
    }
    else
    {
        for (auto & child : ast->children)
            if (!typeid_cast<const ASTSubquery *>(child.get())
                && !typeid_cast<const ASTSelectQuery *>(child.get()))
                getArrayJoinedColumnsImpl(child);
    }
}

bool ExpressionAnalyzer::isThereArrayJoin(const ASTPtr & ast)
{
    if (typeid_cast<ASTIdentifier *>(ast.get()))
    {
        return false;
    }
    else if (ASTFunction * node = typeid_cast<ASTFunction *>(ast.get()))
    {
        if (node->name == "arrayJoin")
        {
            return true;
        }
        if (functionIsInOrGlobalInOperator(node->name))
        {
            return isThereArrayJoin(node->arguments->children.at(0));
        }
        if (node->name == "indexHint")
        {
            return false;
        }
        if (AggregateFunctionFactory::instance().isAggregateFunctionName(node->name))
        {
            return false;
        }
        for (auto & child : node->arguments->children)
        {
            if (isThereArrayJoin(child))
            {
                return true;
            }
        }
        return false;
    }
    else if (typeid_cast<ASTLiteral *>(ast.get()))
    {
        return false;
    }
    else
    {
        for (auto & child : ast->children)
        {
            if (isThereArrayJoin(child))
            {
                return true;
            }
        }
        return false;
    }
}

void ExpressionAnalyzer::getActionsFromJoinKeys(const ASTTableJoin & table_join, bool no_subqueries, bool only_consts,
                                                ExpressionActionsPtr & actions)
{
    ScopeStack scopes(actions, settings);

    ProjectionManipulatorPtr projection_manipulator;
    if (!isThereArrayJoin(ast) && settings.enable_conditional_computation && !only_consts)
        projection_manipulator = std::make_shared<ConditionalTree>(scopes, context);
    else
        projection_manipulator = std::make_shared<DefaultProjectionManipulator>(scopes);

    if (table_join.using_expression_list)
        getActionsImpl(table_join.using_expression_list, no_subqueries, only_consts, scopes, projection_manipulator);
    else if (table_join.on_expression)
    {
        for (const auto & ast : analyzed_join.key_asts_left)
            getActionsImpl(ast, no_subqueries, only_consts, scopes, projection_manipulator);
    }

    actions = scopes.popLevel();
}

void ExpressionAnalyzer::getActionsImpl(const ASTPtr & ast, bool no_subqueries, bool only_consts, ScopeStack & actions_stack,
                                        ProjectionManipulatorPtr projection_manipulator)
{
    String ast_column_name;
    auto getColumnName = [&ast, &ast_column_name]()
    {
        if (ast_column_name.empty())
            ast_column_name = ast->getColumnName();

        return ast_column_name;
    };

    /// If the result of the calculation already exists in the block.
    if ((typeid_cast<ASTFunction *>(ast.get()) || typeid_cast<ASTLiteral *>(ast.get()))
        && projection_manipulator->tryToGetFromUpperProjection(getColumnName()))
        return;

    if (typeid_cast<ASTIdentifier *>(ast.get()))
    {
        if (!only_consts && !projection_manipulator->tryToGetFromUpperProjection(getColumnName()))
        {
            /// The requested column is not in the block.
            /// If such a column exists in the table, then the user probably forgot to surround it with an aggregate function or add it to GROUP BY.

            bool found = false;
            for (const auto & column_name_type : source_columns)
                if (column_name_type.name == getColumnName())
                    found = true;

            if (found)
                throw Exception("Column " + getColumnName() + " is not under aggregate function and not in GROUP BY.",
                    ErrorCodes::NOT_AN_AGGREGATE);
        }
    }
    else if (ASTFunction * node = typeid_cast<ASTFunction *>(ast.get()))
    {
        if (node->name == "lambda")
            throw Exception("Unexpected lambda expression", ErrorCodes::UNEXPECTED_EXPRESSION);

        /// Function arrayJoin.
        if (node->name == "arrayJoin")
        {
            if (node->arguments->children.size() != 1)
                throw Exception("arrayJoin requires exactly 1 argument", ErrorCodes::TYPE_MISMATCH);

            ASTPtr arg = node->arguments->children.at(0);
            getActionsImpl(arg, no_subqueries, only_consts, actions_stack, projection_manipulator);
            if (!only_consts)
            {
                String result_name = projection_manipulator->getColumnName(getColumnName());
                actions_stack.addAction(ExpressionAction::copyColumn(projection_manipulator->getColumnName(arg->getColumnName()), result_name));
                NameSet joined_columns;
                joined_columns.insert(result_name);
                actions_stack.addAction(ExpressionAction::arrayJoin(joined_columns, false, context));
            }

            return;
        }

        if (functionIsInOrGlobalInOperator(node->name))
        {
            if (!no_subqueries)
            {
                /// Let's find the type of the first argument (then getActionsImpl will be called again and will not affect anything).
                getActionsImpl(node->arguments->children.at(0), no_subqueries, only_consts, actions_stack,
                               projection_manipulator);

                /// Transform tuple or subquery into a set.
                makeSet(node, actions_stack.getSampleBlock());
            }
            else
            {
                if (!only_consts)
                {
                    /// We are in the part of the tree that we are not going to compute. You just need to define types.
                    /// Do not subquery and create sets. We insert an arbitrary column of the correct type.
                    ColumnWithTypeAndName fake_column;
                    fake_column.name = projection_manipulator->getColumnName(getColumnName());
                    fake_column.type = std::make_shared<DataTypeUInt8>();
                    fake_column.column = fake_column.type->createColumn();
                    actions_stack.addAction(ExpressionAction::addColumn(fake_column, projection_manipulator->getProjectionSourceColumn(), false));
                    getActionsImpl(node->arguments->children.at(0), no_subqueries, only_consts, actions_stack,
                                   projection_manipulator);
                }
                return;
            }
        }

        /// A special function `indexHint`. Everything that is inside it is not calculated
        /// (and is used only for index analysis, see KeyCondition).
        if (node->name == "indexHint")
        {
            actions_stack.addAction(ExpressionAction::addColumn(ColumnWithTypeAndName(
                ColumnConst::create(ColumnUInt8::create(1, 1), 1), std::make_shared<DataTypeUInt8>(),
                    projection_manipulator->getColumnName(getColumnName())), projection_manipulator->getProjectionSourceColumn(), false));
            return;
        }

        if (AggregateFunctionFactory::instance().isAggregateFunctionName(node->name))
            return;

        const FunctionBuilderPtr & function_builder = FunctionFactory::instance().get(node->name, context);
        auto projection_action = getProjectionAction(node->name, actions_stack, projection_manipulator, getColumnName(), context);

        Names argument_names;
        DataTypes argument_types;
        bool arguments_present = true;

        /// If the function has an argument-lambda expression, you need to determine its type before the recursive call.
        bool has_lambda_arguments = false;

        for (size_t arg = 0; arg < node->arguments->children.size(); ++arg)
        {
            auto & child = node->arguments->children[arg];
            auto child_column_name = child->getColumnName();

            ASTFunction * lambda = typeid_cast<ASTFunction *>(child.get());
            if (lambda && lambda->name == "lambda")
            {
                /// If the argument is a lambda expression, just remember its approximate type.
                if (lambda->arguments->children.size() != 2)
                    throw Exception("lambda requires two arguments", ErrorCodes::NUMBER_OF_ARGUMENTS_DOESNT_MATCH);

                ASTFunction * lambda_args_tuple = typeid_cast<ASTFunction *>(lambda->arguments->children.at(0).get());

                if (!lambda_args_tuple || lambda_args_tuple->name != "tuple")
                    throw Exception("First argument of lambda must be a tuple", ErrorCodes::TYPE_MISMATCH);

                has_lambda_arguments = true;
                argument_types.emplace_back(std::make_shared<DataTypeFunction>(DataTypes(lambda_args_tuple->arguments->children.size())));
                /// Select the name in the next cycle.
                argument_names.emplace_back();
            }
            else if (prepared_sets.count(child->range) && functionIsInOrGlobalInOperator(node->name) && arg == 1)
            {
                ColumnWithTypeAndName column;
                column.type = std::make_shared<DataTypeSet>();

                const SetPtr & set = prepared_sets[child->range];

                /// If the argument is a set given by an enumeration of values (so, the set was already built), give it a unique name,
                ///  so that sets with the same literal representation do not fuse together (they can have different types).
                if (!set->empty())
                    column.name = getUniqueName(actions_stack.getSampleBlock(), "__set");
                else
                    column.name = child_column_name;

                column.name = projection_manipulator->getColumnName(column.name);

                if (!actions_stack.getSampleBlock().has(column.name))
                {
                    column.column = ColumnSet::create(1, set);

                    actions_stack.addAction(ExpressionAction::addColumn(column, projection_manipulator->getProjectionSourceColumn(), false));
                }

                argument_types.push_back(column.type);
                argument_names.push_back(column.name);
            }
            else
            {
                /// If the argument is not a lambda expression, call it recursively and find out its type.
                projection_action->preArgumentAction();
                getActionsImpl(child, no_subqueries, only_consts, actions_stack,
                               projection_manipulator);
                std::string name = projection_manipulator->getColumnName(child_column_name);
                projection_action->postArgumentAction(child_column_name);
                if (actions_stack.getSampleBlock().has(name))
                {
                    argument_types.push_back(actions_stack.getSampleBlock().getByName(name).type);
                    argument_names.push_back(name);
                }
                else
                {
                    if (only_consts)
                    {
                        arguments_present = false;
                    }
                    else
                    {
                        throw Exception("Unknown identifier: " + name + ", projection layer " + projection_manipulator->getProjectionExpression() , ErrorCodes::UNKNOWN_IDENTIFIER);
                    }
                }
            }
        }

        if (only_consts && !arguments_present)
            return;

        if (has_lambda_arguments && !only_consts)
        {
            function_builder->getLambdaArgumentTypes(argument_types);

            /// Call recursively for lambda expressions.
            for (size_t i = 0; i < node->arguments->children.size(); ++i)
            {
                ASTPtr child = node->arguments->children[i];

                ASTFunction * lambda = typeid_cast<ASTFunction *>(child.get());
                if (lambda && lambda->name == "lambda")
                {
                    const DataTypeFunction * lambda_type = typeid_cast<const DataTypeFunction *>(argument_types[i].get());
                    ASTFunction * lambda_args_tuple = typeid_cast<ASTFunction *>(lambda->arguments->children.at(0).get());
                    ASTs lambda_arg_asts = lambda_args_tuple->arguments->children;
                    NamesAndTypesList lambda_arguments;

                    for (size_t j = 0; j < lambda_arg_asts.size(); ++j)
                    {
                        ASTIdentifier * identifier = typeid_cast<ASTIdentifier *>(lambda_arg_asts[j].get());
                        if (!identifier)
                            throw Exception("lambda argument declarations must be identifiers", ErrorCodes::TYPE_MISMATCH);

                        String arg_name = identifier->name;

                        lambda_arguments.emplace_back(arg_name, lambda_type->getArgumentTypes()[j]);
                    }

                    projection_action->preArgumentAction();
                    actions_stack.pushLevel(lambda_arguments);
                    getActionsImpl(lambda->arguments->children.at(1), no_subqueries, only_consts, actions_stack,
                                   projection_manipulator);
                    ExpressionActionsPtr lambda_actions = actions_stack.popLevel();

                    String result_name = projection_manipulator->getColumnName(lambda->arguments->children.at(1)->getColumnName());
                    lambda_actions->finalize(Names(1, result_name));
                    DataTypePtr result_type = lambda_actions->getSampleBlock().getByName(result_name).type;

                    Names captured;
                    Names required = lambda_actions->getRequiredColumns();
                    for (const auto & required_arg : required)
                        if (findColumn(required_arg, lambda_arguments) == lambda_arguments.end())
                            captured.push_back(required_arg);

                    /// We can not name `getColumnName()`,
                    ///  because it does not uniquely define the expression (the types of arguments can be different).
                    String lambda_name = getUniqueName(actions_stack.getSampleBlock(), "__lambda");

                    auto function_capture = std::make_shared<FunctionCapture>(
                            lambda_actions, captured, lambda_arguments, result_type, result_name);
                    actions_stack.addAction(ExpressionAction::applyFunction(function_capture, captured, lambda_name,
                                            projection_manipulator->getProjectionSourceColumn()));

                    argument_types[i] = std::make_shared<DataTypeFunction>(lambda_type->getArgumentTypes(), result_type);
                    argument_names[i] = lambda_name;
                    projection_action->postArgumentAction(lambda_name);
                }
            }
        }

        if (only_consts)
        {
            for (const auto & argument_name : argument_names)
            {
                if (!actions_stack.getSampleBlock().has(argument_name))
                {
                    arguments_present = false;
                    break;
                }
            }
        }

        if (arguments_present)
        {
            projection_action->preCalculation();
            if (projection_action->isCalculationRequired())
            {
                actions_stack.addAction(
                    ExpressionAction::applyFunction(function_builder,
                                                    argument_names,
                                                    projection_manipulator->getColumnName(getColumnName()),
                                                    projection_manipulator->getProjectionSourceColumn()));
            }
        }
    }
    else if (ASTLiteral * node = typeid_cast<ASTLiteral *>(ast.get()))
    {
        DataTypePtr type = applyVisitor(FieldToDataType(), node->value);

        ColumnWithTypeAndName column;
        column.column = type->createColumnConst(1, convertFieldToType(node->value, *type));
        column.type = type;
        column.name = getColumnName();

        actions_stack.addAction(ExpressionAction::addColumn(column, "", false));
        projection_manipulator->tryToGetFromUpperProjection(column.name);
    }
    else
    {
        for (auto & child : ast->children)
        {
            /// Do not go to FROM, JOIN, UNION.
            if (!typeid_cast<const ASTTableExpression *>(child.get())
                && !typeid_cast<const ASTSelectQuery *>(child.get()))
                getActionsImpl(child, no_subqueries, only_consts, actions_stack, projection_manipulator);
        }
    }
}


void ExpressionAnalyzer::getAggregates(const ASTPtr & ast, ExpressionActionsPtr & actions)
{
    /// There can not be aggregate functions inside the WHERE and PREWHERE.
    if (select_query && (ast.get() == select_query->where_expression.get() || ast.get() == select_query->prewhere_expression.get()))
    {
        assertNoAggregates(ast, "in WHERE or PREWHERE");
        return;
    }

    /// If we are not analyzing a SELECT query, but a separate expression, then there can not be aggregate functions in it.
    if (!select_query)
    {
        assertNoAggregates(ast, "in wrong place");
        return;
    }

    const ASTFunction * node = typeid_cast<const ASTFunction *>(ast.get());
    if (node && AggregateFunctionFactory::instance().isAggregateFunctionName(node->name))
    {
        has_aggregation = true;
        AggregateDescription aggregate;
        aggregate.column_name = node->getColumnName();

        /// Make unique aggregate functions.
        for (size_t i = 0; i < aggregate_descriptions.size(); ++i)
            if (aggregate_descriptions[i].column_name == aggregate.column_name)
                return;

        const ASTs & arguments = node->arguments->children;
        aggregate.argument_names.resize(arguments.size());
        DataTypes types(arguments.size());

        for (size_t i = 0; i < arguments.size(); ++i)
        {
            /// There can not be other aggregate functions within the aggregate functions.
            assertNoAggregates(arguments[i], "inside another aggregate function");

            getRootActions(arguments[i], true, false, actions);
            const std::string & name = arguments[i]->getColumnName();
            types[i] = actions->getSampleBlock().getByName(name).type;
            aggregate.argument_names[i] = name;
        }

        aggregate.parameters = (node->parameters) ? getAggregateFunctionParametersArray(node->parameters) : Array();
        aggregate.function = AggregateFunctionFactory::instance().get(node->name, types, aggregate.parameters);

        aggregate_descriptions.push_back(aggregate);
    }
    else
    {
        for (const auto & child : ast->children)
            if (!typeid_cast<const ASTSubquery *>(child.get())
                && !typeid_cast<const ASTSelectQuery *>(child.get()))
                getAggregates(child, actions);
    }
}


void ExpressionAnalyzer::assertNoAggregates(const ASTPtr & ast, const char * description)
{
    const ASTFunction * node = typeid_cast<const ASTFunction *>(ast.get());

    if (node && AggregateFunctionFactory::instance().isAggregateFunctionName(node->name))
        throw Exception("Aggregate function " + node->getColumnName()
            + " is found " + String(description) + " in query", ErrorCodes::ILLEGAL_AGGREGATION);

    for (const auto & child : ast->children)
        if (!typeid_cast<const ASTSubquery *>(child.get())
            && !typeid_cast<const ASTSelectQuery *>(child.get()))
            assertNoAggregates(child, description);
}


void ExpressionAnalyzer::assertSelect() const
{
    if (!select_query)
        throw Exception("Not a select query", ErrorCodes::LOGICAL_ERROR);
}

void ExpressionAnalyzer::assertAggregation() const
{
    if (!has_aggregation)
        throw Exception("No aggregation", ErrorCodes::LOGICAL_ERROR);
}

void ExpressionAnalyzer::initChain(ExpressionActionsChain & chain, const NamesAndTypesList & columns) const
{
    if (chain.steps.empty())
    {
        chain.settings = settings;
        chain.steps.emplace_back(std::make_shared<ExpressionActions>(columns, settings));
    }
}

/// "Big" ARRAY JOIN.
void ExpressionAnalyzer::addMultipleArrayJoinAction(ExpressionActionsPtr & actions) const
{
    NameSet result_columns;
    for (const auto & result_source : array_join_result_to_source)
    {
        /// Assign new names to columns, if needed.
        if (result_source.first != result_source.second)
            actions->add(ExpressionAction::copyColumn(result_source.second, result_source.first));

        /// Make ARRAY JOIN (replace arrays with their insides) for the columns in these new names.
        result_columns.insert(result_source.first);
    }

    actions->add(ExpressionAction::arrayJoin(result_columns, select_query->array_join_is_left(), context));
}

bool ExpressionAnalyzer::appendArrayJoin(ExpressionActionsChain & chain, bool only_types)
{
    assertSelect();

    if (!select_query->array_join_expression_list())
        return false;

    initChain(chain, source_columns);
    ExpressionActionsChain::Step & step = chain.steps.back();

    getRootActions(select_query->array_join_expression_list(), only_types, false, step.actions);

    addMultipleArrayJoinAction(step.actions);

    return true;
}

void ExpressionAnalyzer::addJoinAction(ExpressionActionsPtr & actions, bool only_types) const
{
    if (only_types)
        actions->add(ExpressionAction::ordinaryJoin(nullptr, analyzed_join.key_names_left,
                                                    analyzed_join.getColumnsAddedByJoin()));
    else
        for (auto & subquery_for_set : subqueries_for_sets)
            if (subquery_for_set.second.join)
                actions->add(ExpressionAction::ordinaryJoin(subquery_for_set.second.join, analyzed_join.key_names_left,
                                                            analyzed_join.getColumnsAddedByJoin()));
}


void ExpressionAnalyzer::AnalyzedJoin::createJoinedBlockActions(const ASTSelectQuery * select_query,
                                                                const Context & context)
{
    if (!select_query)
        return;

    const ASTTablesInSelectQueryElement * join = select_query->join();

    if (!join)
        return;

    const auto & join_params = static_cast<const ASTTableJoin &>(*join->table_join);

    /// Create custom expression list with join keys from right table.
    auto expression_list = std::make_shared<ASTExpressionList>();
    ASTs & children = expression_list->children;

    if (join_params.on_expression)
        for (const auto & join_right_key : key_asts_right)
            children.emplace_back(join_right_key);

    NameSet required_columns_set(key_names_right.begin(), key_names_right.end());
    for (const auto & joined_column : columns_added_by_join)
        required_columns_set.insert(joined_column.original_name);

    required_columns_set.insert(key_names_right.begin(), key_names_right.end());

    required_columns_from_joined_table.insert(required_columns_from_joined_table.end(),
                                              required_columns_set.begin(), required_columns_set.end());

    const auto & source_columns_name = getColumnsFromJoinedTable(context, select_query);
    ExpressionAnalyzer analyzer(expression_list, context, nullptr, source_columns_name, required_columns_from_joined_table);
    joined_block_actions = analyzer.getActions(false);

    for (const auto & column_required_from_actions : joined_block_actions->getRequiredColumns())
        if (!required_columns_set.count(column_required_from_actions))
            required_columns_from_joined_table.push_back(column_required_from_actions);
}


NamesAndTypesList ExpressionAnalyzer::AnalyzedJoin::getColumnsAddedByJoin() const
{
    NamesAndTypesList result;
    for (const auto & joined_column : columns_added_by_join)
        result.push_back(joined_column.name_and_type);

    return result;
}

NamesAndTypesList ExpressionAnalyzer::AnalyzedJoin::getColumnsFromJoinedTable(const Context & context, const ASTSelectQuery * select_query)
{
    if (select_query && !columns_from_joined_table.size())
    {
        if (const ASTTablesInSelectQueryElement * node = select_query->join())
        {
            Block nested_result_sample;
            const auto & table_expression = static_cast<const ASTTableExpression &>(*node->table_expression);

            if (table_expression.subquery)
            {
                const auto & subquery = table_expression.subquery->children.at(0);
                nested_result_sample = InterpreterSelectWithUnionQuery::getSampleBlock(subquery, context);
            }
            else if (table_expression.database_and_table_name)
            {
                const auto & identifier = static_cast<const ASTIdentifier &>(*table_expression.database_and_table_name);
                auto database_table = getDatabaseAndTableNameFromIdentifier(identifier);
                const auto & table = context.getTable(database_table.first, database_table.second);
                nested_result_sample = table->getSampleBlockNonMaterialized();
            }

            columns_from_joined_table = nested_result_sample.getNamesAndTypesList();
        }
    }

    return columns_from_joined_table;
}


bool ExpressionAnalyzer::appendJoin(ExpressionActionsChain & chain, bool only_types)
{
    assertSelect();

    if (!select_query->join())
        return false;

    initChain(chain, source_columns);
    ExpressionActionsChain::Step & step = chain.steps.back();

    const auto & join_element = static_cast<const ASTTablesInSelectQueryElement &>(*select_query->join());
    auto & join_params = static_cast<ASTTableJoin &>(*join_element.table_join);

    if (join_params.strictness == ASTTableJoin::Strictness::Unspecified)
    {
        if (settings.join_default_strictness.toString() == "ANY")
            join_params.strictness = ASTTableJoin::Strictness::Any;
        else if (settings.join_default_strictness.toString() == "ALL")
            join_params.strictness = ASTTableJoin::Strictness::All;
        else
            throw Exception("Expected ANY or ALL in JOIN section, because setting (join_default_strictness) is empty", DB::ErrorCodes::EXPECT_ALL_OR_ANY);
    }

    const auto & table_to_join = static_cast<const ASTTableExpression &>(*join_element.table_expression);

    getActionsFromJoinKeys(join_params, only_types, false, step.actions);

    /// Two JOINs are not supported with the same subquery, but different USINGs.
    auto join_hash = join_element.getTreeHash();

    SubqueryForSet & subquery_for_set = subqueries_for_sets[toString(join_hash.first) + "_" + toString(join_hash.second)];

    /// Special case - if table name is specified on the right of JOIN, then the table has the type Join (the previously prepared mapping).
    /// TODO This syntax does not support specifying a database name.
    if (table_to_join.database_and_table_name)
    {
        const auto & identifier = static_cast<const ASTIdentifier &>(*table_to_join.database_and_table_name);
        auto database_table = getDatabaseAndTableNameFromIdentifier(identifier);
        StoragePtr table = context.tryGetTable(database_table.first, database_table.second);

        if (table)
        {
            StorageJoin * storage_join = dynamic_cast<StorageJoin *>(table.get());

            if (storage_join)
            {
                storage_join->assertCompatible(join_params.kind, join_params.strictness);
                /// TODO Check the set of keys.

                JoinPtr & join = storage_join->getJoin();
                subquery_for_set.join = join;
            }
        }
    }

    if (!subquery_for_set.join)
    {
        JoinPtr join = std::make_shared<Join>(
            analyzed_join.key_names_left, analyzed_join.key_names_right, analyzed_join.columns_added_by_join_from_right_keys,
            settings.join_use_nulls, SizeLimits(settings.max_rows_in_join, settings.max_bytes_in_join, settings.join_overflow_mode),
            join_params.kind, join_params.strictness);

        /** For GLOBAL JOINs (in the case, for example, of the push method for executing GLOBAL subqueries), the following occurs
          * - in the addExternalStorage function, the JOIN (SELECT ...) subquery is replaced with JOIN _data1,
          *   in the subquery_for_set object this subquery is exposed as source and the temporary table _data1 as the `table`.
          * - this function shows the expression JOIN _data1.
          */
        if (!subquery_for_set.source)
        {
            ASTPtr table;

            if (table_to_join.database_and_table_name)
                table = table_to_join.database_and_table_name;
            else
                table = table_to_join.subquery;

            auto interpreter = interpretSubquery(table, context, subquery_depth, analyzed_join.required_columns_from_joined_table);
            subquery_for_set.source = std::make_shared<LazyBlockInputStream>(
                interpreter->getSampleBlock(),
                [interpreter]() mutable { return interpreter->execute().in; });
        }

        /// Alias duplicating columns.
        for (const auto & joined_column : analyzed_join.columns_added_by_join)
        {
            const auto & qualified_name = joined_column.name_and_type.name;
            if (joined_column.original_name != qualified_name)
                subquery_for_set.joined_block_aliases.emplace_back(joined_column.original_name, qualified_name);
        }

        auto sample_block = subquery_for_set.source->getHeader();
        analyzed_join.joined_block_actions->execute(sample_block);
        for (const auto & name_with_alias : subquery_for_set.joined_block_aliases)
        {
            if (sample_block.has(name_with_alias.first))
            {
                auto pos = sample_block.getPositionByName(name_with_alias.first);
                auto column = sample_block.getByPosition(pos);
                sample_block.erase(pos);
                column.name = name_with_alias.second;
                sample_block.insert(std::move(column));
            }
        }

        /// TODO You do not need to set this up when JOIN is only needed on remote servers.
        subquery_for_set.join = join;
        subquery_for_set.join->setSampleBlock(sample_block);
        subquery_for_set.joined_block_actions = analyzed_join.joined_block_actions;
    }

    addJoinAction(step.actions, false);

    return true;
}

bool ExpressionAnalyzer::appendPrewhere(ExpressionActionsChain & chain, bool only_types)
{
    assertSelect();

    if (!select_query->prewhere_expression)
        return false;

    initChain(chain, source_columns);
    auto & step = chain.getLastStep();
    getRootActions(select_query->prewhere_expression, only_types, false, step.actions);
    String prewhere_column_name = select_query->prewhere_expression->getColumnName();
    step.required_output.push_back(prewhere_column_name);
    step.can_remove_required_output.push_back(true);

    {
        /// Remove unused source_columns from prewhere actions.
        auto tmp_actions = std::make_shared<ExpressionActions>(source_columns, settings);
        getRootActions(select_query->prewhere_expression, only_types, false, tmp_actions);
        tmp_actions->finalize({prewhere_column_name});
        auto required_columns = tmp_actions->getRequiredColumns();
        NameSet required_source_columns(required_columns.begin(), required_columns.end());

        auto names = step.actions->getSampleBlock().getNames();
        NameSet name_set(names.begin(), names.end());

        for (const auto & column : source_columns)
            if (required_source_columns.count(column.name) == 0)
                name_set.erase(column.name);

        Names required_output(name_set.begin(), name_set.end());
        step.actions->finalize(required_output);
    }

    {
        /// Add empty action with input = {prewhere actions output} + {unused source columns}
        /// Reasons:
        /// 1. Remove remove source columns which are used only in prewhere actions during prewhere actions execution.
        ///    Example: select A prewhere B > 0. B can be removed at prewhere step.
        /// 2. Store side columns which were calculated during prewhere actions execution if they are used.
        ///    Example: select F(A) prewhere F(A) > 0. F(A) can be saved from prewhere step.
        /// 3. Check if we can remove filter column at prewhere step. If we can, action will store single REMOVE_COLUMN.
        ColumnsWithTypeAndName columns = step.actions->getSampleBlock().getColumnsWithTypeAndName();
        auto required_columns = step.actions->getRequiredColumns();
        NameSet prewhere_input_names(required_columns.begin(), required_columns.end());
        NameSet unused_source_columns;

        for (const auto & column : source_columns)
        {
            if (prewhere_input_names.count(column.name) == 0)
            {
                columns.emplace_back(column.type, column.name);
                unused_source_columns.emplace(column.name);
            }
        }

        chain.steps.emplace_back(std::make_shared<ExpressionActions>(std::move(columns), settings));
        chain.steps.back().additional_input = std::move(unused_source_columns);
    }

    return true;
}

bool ExpressionAnalyzer::appendWhere(ExpressionActionsChain & chain, bool only_types)
{
    assertSelect();

    if (!select_query->where_expression)
        return false;

    initChain(chain, source_columns);
    ExpressionActionsChain::Step & step = chain.steps.back();

    step.required_output.push_back(select_query->where_expression->getColumnName());
    step.can_remove_required_output = {true};

    getRootActions(select_query->where_expression, only_types, false, step.actions);

    return true;
}

bool ExpressionAnalyzer::appendGroupBy(ExpressionActionsChain & chain, bool only_types)
{
    assertAggregation();

    if (!select_query->group_expression_list)
        return false;

    initChain(chain, source_columns);
    ExpressionActionsChain::Step & step = chain.steps.back();

    ASTs asts = select_query->group_expression_list->children;
    for (size_t i = 0; i < asts.size(); ++i)
    {
        step.required_output.push_back(asts[i]->getColumnName());
        getRootActions(asts[i], only_types, false, step.actions);
    }

    return true;
}

void ExpressionAnalyzer::appendAggregateFunctionsArguments(ExpressionActionsChain & chain, bool only_types)
{
    assertAggregation();

    initChain(chain, source_columns);
    ExpressionActionsChain::Step & step = chain.steps.back();

    for (size_t i = 0; i < aggregate_descriptions.size(); ++i)
    {
        for (size_t j = 0; j < aggregate_descriptions[i].argument_names.size(); ++j)
        {
            step.required_output.push_back(aggregate_descriptions[i].argument_names[j]);
        }
    }

    getActionsBeforeAggregation(select_query->select_expression_list, step.actions, only_types);

    if (select_query->having_expression)
        getActionsBeforeAggregation(select_query->having_expression, step.actions, only_types);

    if (select_query->order_expression_list)
        getActionsBeforeAggregation(select_query->order_expression_list, step.actions, only_types);
}

bool ExpressionAnalyzer::appendHaving(ExpressionActionsChain & chain, bool only_types)
{
    assertAggregation();

    if (!select_query->having_expression)
        return false;

    initChain(chain, aggregated_columns);
    ExpressionActionsChain::Step & step = chain.steps.back();

    step.required_output.push_back(select_query->having_expression->getColumnName());
    getRootActions(select_query->having_expression, only_types, false, step.actions);

    return true;
}

void ExpressionAnalyzer::appendSelect(ExpressionActionsChain & chain, bool only_types)
{
    assertSelect();

    initChain(chain, aggregated_columns);
    ExpressionActionsChain::Step & step = chain.steps.back();

    getRootActions(select_query->select_expression_list, only_types, false, step.actions);

    for (const auto & child : select_query->select_expression_list->children)
        step.required_output.push_back(child->getColumnName());
}

bool ExpressionAnalyzer::appendOrderBy(ExpressionActionsChain & chain, bool only_types)
{
    assertSelect();

    if (!select_query->order_expression_list)
        return false;

    initChain(chain, aggregated_columns);
    ExpressionActionsChain::Step & step = chain.steps.back();

    getRootActions(select_query->order_expression_list, only_types, false, step.actions);

    ASTs asts = select_query->order_expression_list->children;
    for (size_t i = 0; i < asts.size(); ++i)
    {
        ASTOrderByElement * ast = typeid_cast<ASTOrderByElement *>(asts[i].get());
        if (!ast || ast->children.size() < 1)
            throw Exception("Bad order expression AST", ErrorCodes::UNKNOWN_TYPE_OF_AST_NODE);
        ASTPtr order_expression = ast->children.at(0);
        step.required_output.push_back(order_expression->getColumnName());
    }

    return true;
}

bool ExpressionAnalyzer::appendLimitBy(ExpressionActionsChain & chain, bool only_types)
{
    assertSelect();

    if (!select_query->limit_by_expression_list)
        return false;

    initChain(chain, aggregated_columns);
    ExpressionActionsChain::Step & step = chain.steps.back();

    getRootActions(select_query->limit_by_expression_list, only_types, false, step.actions);

    for (const auto & child : select_query->limit_by_expression_list->children)
        step.required_output.push_back(child->getColumnName());

    return true;
}

void ExpressionAnalyzer::appendProjectResult(ExpressionActionsChain & chain) const
{
    assertSelect();

    initChain(chain, aggregated_columns);
    ExpressionActionsChain::Step & step = chain.steps.back();

    NamesWithAliases result_columns;

    ASTs asts = select_query->select_expression_list->children;
    for (size_t i = 0; i < asts.size(); ++i)
    {
        String result_name = asts[i]->getAliasOrColumnName();
        if (required_result_columns.empty()
            || std::find(required_result_columns.begin(), required_result_columns.end(), result_name) !=  required_result_columns.end())
        {
            result_columns.emplace_back(asts[i]->getColumnName(), result_name);
            step.required_output.push_back(result_columns.back().second);
        }
    }

    step.actions->add(ExpressionAction::project(result_columns));
}


void ExpressionAnalyzer::getActionsBeforeAggregation(const ASTPtr & ast, ExpressionActionsPtr & actions, bool no_subqueries)
{
    ASTFunction * node = typeid_cast<ASTFunction *>(ast.get());

    if (node && AggregateFunctionFactory::instance().isAggregateFunctionName(node->name))
        for (auto & argument : node->arguments->children)
            getRootActions(argument, no_subqueries, false, actions);
    else
        for (auto & child : ast->children)
            getActionsBeforeAggregation(child, actions, no_subqueries);
}


ExpressionActionsPtr ExpressionAnalyzer::getActions(bool project_result)
{
    ExpressionActionsPtr actions = std::make_shared<ExpressionActions>(source_columns, settings);
    NamesWithAliases result_columns;
    Names result_names;

    ASTs asts;

    if (auto node = typeid_cast<const ASTExpressionList *>(ast.get()))
        asts = node->children;
    else
        asts = ASTs(1, ast);

    for (size_t i = 0; i < asts.size(); ++i)
    {
        std::string name = asts[i]->getColumnName();
        std::string alias;
        if (project_result)
            alias = asts[i]->getAliasOrColumnName();
        else
            alias = name;
        result_columns.emplace_back(name, alias);
        result_names.push_back(alias);
        getRootActions(asts[i], false, false, actions);
    }

    if (project_result)
    {
        actions->add(ExpressionAction::project(result_columns));
    }
    else
    {
        /// We will not delete the original columns.
        for (const auto & column_name_type : source_columns)
            result_names.push_back(column_name_type.name);
    }

    actions->finalize(result_names);

    return actions;
}


ExpressionActionsPtr ExpressionAnalyzer::getConstActions()
{
    ExpressionActionsPtr actions = std::make_shared<ExpressionActions>(NamesAndTypesList(), settings);

    getRootActions(ast, true, true, actions);

    return actions;
}

void ExpressionAnalyzer::getAggregateInfo(Names & key_names, AggregateDescriptions & aggregates) const
{
    for (const auto & name_and_type : aggregation_keys)
        key_names.emplace_back(name_and_type.name);

    aggregates = aggregate_descriptions;
}

void ExpressionAnalyzer::collectUsedColumns()
{
    /** Calculate which columns are required to execute the expression.
      * Then, delete all other columns from the list of available columns.
      * After execution, columns will only contain the list of columns needed to read from the table.
      */

    NameSet required;
    NameSet ignored;

    NameSet available_columns;
    for (const auto & column : source_columns)
        available_columns.insert(column.name);

    if (select_query && select_query->array_join_expression_list())
    {
        ASTs & expressions = select_query->array_join_expression_list()->children;
        for (size_t i = 0; i < expressions.size(); ++i)
        {
            /// Ignore the top-level identifiers from the ARRAY JOIN section.
            /// Then add them separately.
            if (typeid_cast<ASTIdentifier *>(expressions[i].get()))
            {
                ignored.insert(expressions[i]->getColumnName());
            }
            else
            {
                /// Nothing needs to be ignored for expressions in ARRAY JOIN.
                NameSet empty;
                getRequiredSourceColumnsImpl(expressions[i], available_columns, required, empty, empty, empty);
            }

            ignored.insert(expressions[i]->getAliasOrColumnName());
        }
    }

    /** You also need to ignore the identifiers of the columns that are obtained by JOIN.
      * (Do not assume that they are required for reading from the "left" table).
      */
    NameSet available_joined_columns;
    collectJoinedColumns(available_joined_columns);

    NameSet required_joined_columns;

    for (const auto & left_key_ast : analyzed_join.key_asts_left)
        getRequiredSourceColumnsImpl(left_key_ast, available_columns, required, ignored, {}, required_joined_columns);

    getRequiredSourceColumnsImpl(ast, available_columns, required, ignored, available_joined_columns, required_joined_columns);

    for (auto it = analyzed_join.columns_added_by_join.begin(); it != analyzed_join.columns_added_by_join.end();)
    {
        if (required_joined_columns.count(it->name_and_type.name))
            ++it;
        else
            analyzed_join.columns_added_by_join.erase(it++);
    }

    analyzed_join.createJoinedBlockActions(select_query, context);

    /// Some columns from right join key may be used in query. This columns will be appended to block during join.
    for (const auto & right_key_name : analyzed_join.key_names_right)
        if (required_joined_columns.count(right_key_name))
            analyzed_join.columns_added_by_join_from_right_keys.insert(right_key_name);

    /// Insert the columns required for the ARRAY JOIN calculation into the required columns list.
    NameSet array_join_sources;
    for (const auto & result_source : array_join_result_to_source)
        array_join_sources.insert(result_source.second);

    for (const auto & column_name_type : source_columns)
        if (array_join_sources.count(column_name_type.name))
            required.insert(column_name_type.name);

    /// You need to read at least one column to find the number of rows.
    if (select_query && required.empty())
        required.insert(ExpressionActions::getSmallestColumn(source_columns));

    NameSet unknown_required_source_columns = required;

    for (NamesAndTypesList::iterator it = source_columns.begin(); it != source_columns.end();)
    {
        unknown_required_source_columns.erase(it->name);

        if (!required.count(it->name))
            source_columns.erase(it++);
        else
            ++it;
    }

    /// If there are virtual columns among the unknown columns. Remove them from the list of unknown and add
    /// in columns list, so that when further processing they are also considered.
    if (storage)
    {
        for (auto it = unknown_required_source_columns.begin(); it != unknown_required_source_columns.end();)
        {
            if (storage->hasColumn(*it))
            {
                source_columns.push_back(storage->getColumn(*it));
                unknown_required_source_columns.erase(it++);
            }
            else
                ++it;
        }
    }

    if (!unknown_required_source_columns.empty())
        throw Exception("Unknown identifier: " + *unknown_required_source_columns.begin(), ErrorCodes::UNKNOWN_IDENTIFIER);
}


void ExpressionAnalyzer::collectJoinedColumnsFromJoinOnExpr()
{
    const auto & tables = static_cast<const ASTTablesInSelectQuery &>(*select_query->tables);
    const auto * left_tables_element = static_cast<const ASTTablesInSelectQueryElement *>(tables.children.at(0).get());
    const auto * right_tables_element = select_query->join();

    if (!left_tables_element || !right_tables_element)
        return;

    const auto & table_join = static_cast<const ASTTableJoin &>(*right_tables_element->table_join);
    if (!table_join.on_expression)
        return;

    const auto & left_table_expression = static_cast<const ASTTableExpression &>(*left_tables_element->table_expression);
    const auto & right_table_expression = static_cast<const ASTTableExpression &>(*right_tables_element->table_expression);

    auto left_source_names = getTableNameWithAliasFromTableExpression(left_table_expression, context);
    auto right_source_names = getTableNameWithAliasFromTableExpression(right_table_expression, context);

    /// Stores examples of columns which are only from one table.
    struct TableBelonging
    {
        const ASTIdentifier * example_only_from_left = nullptr;
        const ASTIdentifier * example_only_from_right = nullptr;
    };

    /// Check all identifiers in ast and decide their possible table belonging.
    /// Throws if there are two identifiers definitely from different tables.
    std::function<TableBelonging(const ASTPtr &)> get_table_belonging;
    get_table_belonging = [&](const ASTPtr & ast) -> TableBelonging
    {
        auto * identifier = typeid_cast<const ASTIdentifier *>(ast.get());
        if (identifier)
        {
            if (identifier->kind == ASTIdentifier::Column)
            {
                auto left_num_components = getNumComponentsToStripInOrderToTranslateQualifiedName(*identifier, left_source_names);
                auto right_num_components = getNumComponentsToStripInOrderToTranslateQualifiedName(*identifier, right_source_names);

                /// Assume that component from definite table if num_components is greater than for the other table.
                if (left_num_components > right_num_components)
                    return {identifier, nullptr};
                if (left_num_components < right_num_components)
                    return {nullptr, identifier};
            }
            return {};
        }

        TableBelonging table_belonging;
        for (const auto & child : ast->children)
        {
            auto children_belonging = get_table_belonging(child);
            if (!table_belonging.example_only_from_left)
                table_belonging.example_only_from_left = children_belonging.example_only_from_left;
            if (!table_belonging.example_only_from_right)
                table_belonging.example_only_from_right = children_belonging.example_only_from_right;
        }

        if (table_belonging.example_only_from_left && table_belonging.example_only_from_right)
            throw Exception("Invalid columns in JOIN ON section. Columns "
                            + table_belonging.example_only_from_left->getAliasOrColumnName() + " and "
                            + table_belonging.example_only_from_right->getAliasOrColumnName()
                            + " are from different tables.", ErrorCodes::INVALID_JOIN_ON_EXPRESSION);

        return table_belonging;
    };

    std::function<void(ASTPtr &, const DatabaseAndTableWithAlias &)> translate_qualified_names;
    translate_qualified_names = [&](ASTPtr & ast, const DatabaseAndTableWithAlias & source_names)
    {
        auto * identifier = typeid_cast<const ASTIdentifier *>(ast.get());
        if (identifier)
        {
            if (identifier->kind == ASTIdentifier::Column)
            {
                auto num_components = getNumComponentsToStripInOrderToTranslateQualifiedName(*identifier, source_names);
                stripIdentifier(ast, num_components);
            }
            return;
        }

        for (auto & child : ast->children)
            translate_qualified_names(child, source_names);
    };

    const auto supported_syntax = " Supported syntax: JOIN ON Expr([table.]column, ...) = Expr([table.]column, ...) "
                                  "[AND Expr([table.]column, ...) = Expr([table.]column, ...) ...]";
    auto throwSyntaxException = [&](const String & msg)
    {
        throw Exception("Invalid expression for JOIN ON. " + msg + supported_syntax, ErrorCodes::INVALID_JOIN_ON_EXPRESSION);
    };

    /// For equal expression find out corresponding table for each part, translate qualified names and add asts to join keys.
    auto add_columns_from_equals_expr = [&](const ASTPtr & expr)
    {
        auto * func_equals = typeid_cast<const ASTFunction *>(expr.get());
        if (!func_equals || func_equals->name != "equals")
            throwSyntaxException("Expected equals expression, got " + queryToString(expr) + ".");

        ASTPtr left_ast = func_equals->arguments->children.at(0)->clone();
        ASTPtr right_ast = func_equals->arguments->children.at(1)->clone();

        auto left_table_belonging = get_table_belonging(left_ast);
        auto right_table_belonging = get_table_belonging(right_ast);

        bool can_be_left_part_from_left_table = left_table_belonging.example_only_from_right == nullptr;
        bool can_be_left_part_from_right_table = left_table_belonging.example_only_from_left == nullptr;
        bool can_be_right_part_from_left_table = right_table_belonging.example_only_from_right == nullptr;
        bool can_be_right_part_from_right_table = right_table_belonging.example_only_from_left == nullptr;

        auto add_join_keys = [&](ASTPtr & ast_to_left_table, ASTPtr & ast_to_right_table)
        {
            translate_qualified_names(ast_to_left_table, left_source_names);
            translate_qualified_names(ast_to_right_table, right_source_names);

            analyzed_join.key_asts_left.push_back(ast_to_left_table);
            analyzed_join.key_names_left.push_back(ast_to_left_table->getColumnName());
            analyzed_join.key_asts_right.push_back(ast_to_right_table);
            analyzed_join.key_names_right.push_back(ast_to_right_table->getAliasOrColumnName());
        };

        /// Default variant when all identifiers may be from any table.
        if (can_be_left_part_from_left_table && can_be_right_part_from_right_table)
            add_join_keys(left_ast, right_ast);
        else if (can_be_left_part_from_right_table && can_be_right_part_from_left_table)
            add_join_keys(right_ast, left_ast);
        else
        {
            auto * left_example = left_table_belonging.example_only_from_left ?
                                  left_table_belonging.example_only_from_left :
                                  left_table_belonging.example_only_from_right;

            auto * right_example = right_table_belonging.example_only_from_left ?
                                   right_table_belonging.example_only_from_left :
                                   right_table_belonging.example_only_from_right;

            auto left_name = queryToString(*left_example);
            auto right_name = queryToString(*right_example);
            auto expr_name = queryToString(expr);

            throwSyntaxException("In expression " + expr_name + " columns " + left_name + " and " + right_name
                                 + " are from the same table but from different arguments of equal function.");
        }
    };

    auto * func = typeid_cast<const ASTFunction *>(table_join.on_expression.get());
    if (func && func->name == "and")
    {
        for (const auto & expr : func->arguments->children)
            add_columns_from_equals_expr(expr);
    }
    else
        add_columns_from_equals_expr(table_join.on_expression);
}

void ExpressionAnalyzer::collectJoinedColumns(NameSet & joined_columns)
{
    if (!select_query)
        return;

    const ASTTablesInSelectQueryElement * node = select_query->join();

    if (!node)
        return;

    const auto & table_join = static_cast<const ASTTableJoin &>(*node->table_join);
    const auto & table_expression = static_cast<const ASTTableExpression &>(*node->table_expression);
    auto joined_table_name = getTableNameWithAliasFromTableExpression(table_expression, context);

    auto add_name_to_join_keys = [](Names & join_keys, ASTs & join_asts, const String & name, const ASTPtr & ast)
    {
        if (join_keys.end() == std::find(join_keys.begin(), join_keys.end(), name))
        {
            join_keys.push_back(name);
            join_asts.push_back(ast);
        }
        else
            throw Exception("Duplicate column " + name + " in USING list", ErrorCodes::DUPLICATE_COLUMN);
    };

    if (table_join.using_expression_list)
    {
        auto & keys = typeid_cast<ASTExpressionList &>(*table_join.using_expression_list);
        for (const auto & key : keys.children)
        {
            add_name_to_join_keys(analyzed_join.key_names_left, analyzed_join.key_asts_left, key->getColumnName(), key);
            add_name_to_join_keys(analyzed_join.key_names_right, analyzed_join.key_asts_right, key->getAliasOrColumnName(), key);
        }
    }
    else if (table_join.on_expression)
        collectJoinedColumnsFromJoinOnExpr();

    /// When we use JOIN ON syntax, non_joined_columns are columns from join_key_names_left,
    ///     because even if a column from join_key_names_right, we may need to join it if it has different name.
    /// If we use USING syntax, join_key_names_left and join_key_names_right are almost the same, but we need to use
    ///     join_key_names_right in order to support aliases in USING list. Example:
    ///     SELECT x FROM tab1 ANY LEFT JOIN tab2 USING (x as y) - will join column x from tab1 with column y from tab2.
    auto & not_joined_columns = table_join.using_expression_list ? analyzed_join.key_names_right : analyzed_join.key_names_left;
    auto columns_from_joined_table = analyzed_join.getColumnsFromJoinedTable(context, select_query);

    for (auto & column_name_and_type : columns_from_joined_table)
    {
        auto & column_name = column_name_and_type.name;
        auto & column_type = column_name_and_type.type;
        if (not_joined_columns.end() == std::find(not_joined_columns.begin(), not_joined_columns.end(), column_name))
        {
            auto qualified_name = column_name;
            /// Change name for duplicate column form joined table.
            if (source_columns.contains(qualified_name))
                qualified_name = joined_table_name.getQualifiedNamePrefix() + qualified_name;

            if (joined_columns.count(qualified_name)) /// Duplicate columns in the subquery for JOIN do not make sense.
                continue;

            joined_columns.insert(qualified_name);

            bool make_nullable = settings.join_use_nulls && (table_join.kind == ASTTableJoin::Kind::Left ||
                                                             table_join.kind == ASTTableJoin::Kind::Full);
            auto type = make_nullable ? makeNullable(column_type) : column_type;
            analyzed_join.columns_added_by_join.emplace_back(NameAndTypePair(qualified_name, std::move(type)), column_name);
        }
    }
}


Names ExpressionAnalyzer::getRequiredSourceColumns() const
{
    return source_columns.getNames();
}


void ExpressionAnalyzer::getRequiredSourceColumnsImpl(const ASTPtr & ast,
    const NameSet & available_columns, NameSet & required_source_columns, NameSet & ignored_names,
    const NameSet & available_joined_columns, NameSet & required_joined_columns)
{
    /** Find all the identifiers in the query.
      * We will use depth first search in AST.
      * In this case
      * - for lambda functions we will not take formal parameters;
      * - do not go into subqueries (they have their own identifiers);
      * - there is some exception for the ARRAY JOIN clause (it has a slightly different identifiers);
      * - we put identifiers available from JOIN in required_joined_columns.
      */

    if (ASTIdentifier * node = typeid_cast<ASTIdentifier *>(ast.get()))
    {
        if (node->kind == ASTIdentifier::Column
            && !ignored_names.count(node->name)
            && !ignored_names.count(Nested::extractTableName(node->name)))
        {
            if (!available_joined_columns.count(node->name)
                || available_columns.count(node->name)) /// Read column from left table if has.
                required_source_columns.insert(node->name);
            else
                required_joined_columns.insert(node->name);
        }

        return;
    }

    if (ASTFunction * node = typeid_cast<ASTFunction *>(ast.get()))
    {
        if (node->name == "lambda")
        {
            if (node->arguments->children.size() != 2)
                throw Exception("lambda requires two arguments", ErrorCodes::NUMBER_OF_ARGUMENTS_DOESNT_MATCH);

            ASTFunction * lambda_args_tuple = typeid_cast<ASTFunction *>(node->arguments->children.at(0).get());

            if (!lambda_args_tuple || lambda_args_tuple->name != "tuple")
                throw Exception("First argument of lambda must be a tuple", ErrorCodes::TYPE_MISMATCH);

            /// You do not need to add formal parameters of the lambda expression in required_source_columns.
            Names added_ignored;
            for (auto & child : lambda_args_tuple->arguments->children)
            {
                ASTIdentifier * identifier = typeid_cast<ASTIdentifier *>(child.get());
                if (!identifier)
                    throw Exception("lambda argument declarations must be identifiers", ErrorCodes::TYPE_MISMATCH);

                String & name = identifier->name;
                if (!ignored_names.count(name))
                {
                    ignored_names.insert(name);
                    added_ignored.push_back(name);
                }
            }

            getRequiredSourceColumnsImpl(node->arguments->children.at(1),
                available_columns, required_source_columns, ignored_names,
                available_joined_columns, required_joined_columns);

            for (size_t i = 0; i < added_ignored.size(); ++i)
                ignored_names.erase(added_ignored[i]);

            return;
        }

        /// A special function `indexHint`. Everything that is inside it is not calculated
        /// (and is used only for index analysis, see KeyCondition).
        if (node->name == "indexHint")
            return;
    }

    /// Recursively traverses an expression.
    for (auto & child : ast->children)
    {
        /** We will not go to the ARRAY JOIN section, because we need to look at the names of non-ARRAY-JOIN columns.
          * There, `collectUsedColumns` will send us separately.
          */
        if (!typeid_cast<const ASTSelectQuery *>(child.get())
            && !typeid_cast<const ASTArrayJoin *>(child.get())
            && !typeid_cast<const ASTTableExpression *>(child.get())
            && !typeid_cast<const ASTTableJoin *>(child.get()))
            getRequiredSourceColumnsImpl(child, available_columns, required_source_columns,
                ignored_names, available_joined_columns, required_joined_columns);
    }
}


static bool hasArrayJoin(const ASTPtr & ast)
{
    if (const ASTFunction * function = typeid_cast<const ASTFunction *>(&*ast))
        if (function->name == "arrayJoin")
            return true;

    for (const auto & child : ast->children)
        if (!typeid_cast<ASTSelectQuery *>(child.get()) && hasArrayJoin(child))
            return true;

    return false;
}


void ExpressionAnalyzer::removeUnneededColumnsFromSelectClause()
{
    if (!select_query)
        return;

    if (required_result_columns.empty())
        return;

    ASTs & elements = select_query->select_expression_list->children;

    ASTs new_elements;
    new_elements.reserve(elements.size());

    /// Some columns may be queried multiple times, like SELECT x, y, y FROM table.
    /// In that case we keep them exactly same number of times.
    std::map<String, size_t> required_columns_with_duplicate_count;
    for (const auto & name : required_result_columns)
        ++required_columns_with_duplicate_count[name];

    for (const auto & elem : elements)
    {
        String name = elem->getAliasOrColumnName();

        auto it = required_columns_with_duplicate_count.find(name);
        if (required_columns_with_duplicate_count.end() != it && it->second)
        {
            new_elements.push_back(elem);
            --it->second;
        }
        else if (select_query->distinct || hasArrayJoin(elem))
        {
            new_elements.push_back(elem);
        }
    }

    elements = std::move(new_elements);
}

}