greenplumn CUtils 源码
greenplumn CUtils 代码
文件路径:/src/backend/gporca/libgpopt/include/gpopt/base/CUtils.h
//---------------------------------------------------------------------------
//	Greenplum Database
//	Copyright (C) 2009 Greenplum, Inc.
//
//	@filename:
//		CUtils.h
//
//	@doc:
//		Optimizer utility functions
//---------------------------------------------------------------------------
#ifndef GPOPT_CUtils_H
#define GPOPT_CUtils_H
#include "gpos/common/CHashSet.h"
#include "gpopt/base/CColRef.h"
#include "gpopt/base/COrderSpec.h"
#include "gpopt/base/CWindowFrame.h"
#include "gpopt/metadata/CTableDescriptor.h"
#include "gpopt/operators/CExpression.h"
#include "gpopt/operators/CScalarAggFunc.h"
#include "gpopt/operators/CScalarArrayCmp.h"
#include "gpopt/operators/CScalarBoolOp.h"
#include "gpopt/operators/CScalarConst.h"
#include "gpopt/operators/CScalarProjectElement.h"
#include "gpopt/xforms/CXform.h"
// fwd declarations
namespace gpmd
{
class IMDId;
}
namespace gpopt
{
using namespace gpos;
// fwd declaration
class CMemo;
class CLogicalCTEConsumer;
class CLogicalCTEProducer;
class CDistributionSpec;
class IConstExprEvaluator;
class CLogical;
class CLogicalGbAgg;
//---------------------------------------------------------------------------
//	@class:
//		CUtils
//
//	@doc:
//		General utility functions
//
//---------------------------------------------------------------------------
class CUtils
{
private:
	// check if the expression is a scalar boolean const
	static BOOL FScalarConstBool(CExpression *pexpr, BOOL value);
	// check if two expressions have the same children in any order
	static BOOL FMatchChildrenUnordered(const CExpression *pexprLeft,
										const CExpression *pexprRight);
	// check if two expressions have the same children in the same order
	static BOOL FMatchChildrenOrdered(const CExpression *pexprLeft,
									  const CExpression *pexprRight);
	// checks that the given type has all the comparisons: Eq, NEq, L, LEq, G, GEq
	static BOOL FHasAllDefaultComparisons(const IMDType *pmdtype);
	//	append the expressions in the source array to destination array
	static void AppendArrayExpr(CExpressionArray *pdrgpexprSrc,
								CExpressionArray *pdrgpexprDest);
public:
	enum EExecLocalityType
	{
		EeltMaster,
		EeltSegments,
		EeltSingleton
	};
#ifdef GPOS_DEBUG
	// print given expression to debug trace
	static void PrintExpression(CExpression *pexpr);
	// print memo to debug trace
	static void PrintMemo(CMemo *pmemo);
#endif	// GPOS_DEBUG
	static IOstream &OsPrintDrgPcoldesc(
		IOstream &os, CColumnDescriptorArray *pdrgpcoldescIncludedCols,
		ULONG length);
	//-------------------------------------------------------------------
	// Helpers for generating expressions
	//-------------------------------------------------------------------
	// recursively check for a plan with CTE, if both CTEProducer and CTEConsumer are executed on the same locality.
	// raises an exception if CTE Producer and CTE Consumer does not have the same locality
	static void ValidateCTEProducerConsumerLocality(CMemoryPool *mp,
													CExpression *pexpr,
													EExecLocalityType edt,
													UlongToUlongMap *phmulul);
	// generate a comparison expression for two column references
	static CExpression *PexprScalarCmp(CMemoryPool *mp, const CColRef *pcrLeft,
									   const CColRef *pcrRight,
									   CWStringConst strOp, IMDId *mdid_op);
	// generate a comparison expression for a column reference and an expression
	static CExpression *PexprScalarCmp(CMemoryPool *mp, const CColRef *pcrLeft,
									   CExpression *pexprRight,
									   CWStringConst strOp, IMDId *mdid_op);
	// generate a comparison expression for an expression and a column reference
	static CExpression *PexprScalarCmp(CMemoryPool *mp, CExpression *pexprLeft,
									   const CColRef *pcrRight,
									   CWStringConst strOp, IMDId *mdid_op);
	// generate a comparison expression for two expressions
	static CExpression *PexprScalarCmp(CMemoryPool *mp, CExpression *pexprLeft,
									   CExpression *pexprRight,
									   CWStringConst strOp, IMDId *mdid_op);
	// generate a comparison expression for two expressions
	static CExpression *PexprScalarCmp(CMemoryPool *mp, CExpression *pexprLeft,
									   CExpression *pexprRight,
									   IMDId *mdid_scop);
	// generate a comparison expression for a column reference and an expression
	static CExpression *PexprScalarCmp(CMemoryPool *mp, const CColRef *pcrLeft,
									   CExpression *pexprRight,
									   IMDType::ECmpType cmp_type);
	// generate a comparison expression between two column references
	static CExpression *PexprScalarCmp(CMemoryPool *mp, const CColRef *pcrLeft,
									   const CColRef *pcrRight,
									   IMDType::ECmpType cmp_type);
	// generate a comparison expression between an expression and a column reference
	static CExpression *PexprScalarCmp(CMemoryPool *mp, CExpression *pexprLeft,
									   const CColRef *pcrRight,
									   IMDType::ECmpType cmp_type);
	// generate a comparison expression for two expressions
	static CExpression *PexprScalarCmp(CMemoryPool *mp, CExpression *pexprLeft,
									   CExpression *pexprRight,
									   IMDType::ECmpType cmp_type);
	// generate a comparison against Zero
	static CExpression *PexprCmpWithZero(CMemoryPool *mp,
										 CExpression *pexprLeft,
										 IMDId *mdid_type_left,
										 IMDType::ECmpType ecmptype);
	// generate an equality comparison expression for column references
	static CExpression *PexprScalarEqCmp(CMemoryPool *mp,
										 const CColRef *pcrLeft,
										 const CColRef *pcrRight);
	// generate an equality comparison expression for two expressions
	static CExpression *PexprScalarEqCmp(CMemoryPool *mp,
										 CExpression *pexprLeft,
										 CExpression *pexprRight);
	// generate an equality comparison expression for a column reference and an expression
	static CExpression *PexprScalarEqCmp(CMemoryPool *mp,
										 const CColRef *pcrLeft,
										 CExpression *pexprRight);
	// generate an equality comparison expression for an expression and a column reference
	static CExpression *PexprScalarEqCmp(CMemoryPool *mp,
										 CExpression *pexprLeft,
										 const CColRef *pcrRight);
	// generate an array comparison expression for a column reference and an expression
	static CExpression *PexprScalarArrayCmp(
		CMemoryPool *mp, CScalarArrayCmp::EArrCmpType earrcmptype,
		IMDType::ECmpType ecmptype, CExpressionArray *pexprScalarChildren,
		const CColRef *colref);
	// generate an Is Distinct From expression
	static CExpression *PexprIDF(CMemoryPool *mp, CExpression *pexprLeft,
								 CExpression *pexprRight);
	static CExpression *PexprIDF(CMemoryPool *mp, CExpression *pexprLeft,
								 CExpression *pexprRight, IMDId *mdid_scop);
	// generate an Is NOT Distinct From expression for two column references
	static CExpression *PexprINDF(CMemoryPool *mp, const CColRef *pcrLeft,
								  const CColRef *pcrRight);
	// generate an Is NOT Distinct From expression for scalar expressions
	static CExpression *PexprINDF(CMemoryPool *mp, CExpression *pexprLeft,
								  CExpression *pexprRight);
	static CExpression *PexprINDF(CMemoryPool *mp, CExpression *pexprLeft,
								  CExpression *pexprRight, IMDId *mdid_scop);
	// generate an Is NULL expression
	static CExpression *PexprIsNull(CMemoryPool *mp, CExpression *pexpr);
	// generate an Is NOT NULL expression
	static CExpression *PexprIsNotNull(CMemoryPool *mp, CExpression *pexpr);
	// generate an Is NOT FALSE expression
	static CExpression *PexprIsNotFalse(CMemoryPool *mp, CExpression *pexpr);
	// find if a scalar expression uses a nullable columns from the output of a logical expression
	static BOOL FUsesNullableCol(CMemoryPool *mp, CExpression *pexprScalar,
								 CExpression *pexprLogical);
	// generate a scalar op expression for a column reference and an expression
	static CExpression *PexprScalarOp(CMemoryPool *mp, const CColRef *pcrLeft,
									  CExpression *pexpr, CWStringConst strOp,
									  IMDId *mdid_op,
									  IMDId *return_type_mdid = nullptr);
	// generate a scalar bool op expression
	static CExpression *PexprScalarBoolOp(CMemoryPool *mp,
										  CScalarBoolOp::EBoolOperator eboolop,
										  CExpressionArray *pdrgpexpr);
	// negate the given expression
	static CExpression *PexprNegate(CMemoryPool *mp, CExpression *pexpr);
	// generate a scalar ident expression
	static CExpression *PexprScalarIdent(CMemoryPool *mp,
										 const CColRef *colref);
	// generate a scalar project element expression
	static CExpression *PexprScalarProjectElement(CMemoryPool *mp,
												  CColRef *colref,
												  CExpression *pexpr);
	// generate an aggregate function operator
	static CScalarAggFunc *PopAggFunc(
		CMemoryPool *mp, IMDId *pmdidAggFunc, const CWStringConst *pstrAggFunc,
		BOOL is_distinct, EAggfuncStage eaggfuncstage, BOOL fSplit,
		IMDId *
			pmdidResolvedReturnType,  // return type to be used if original return type is ambiguous
		EAggfuncKind aggkind, ULongPtrArray *argtypes);
	// generate an aggregate function
	static CExpression *PexprAggFunc(CMemoryPool *mp, IMDId *pmdidAggFunc,
									 const CWStringConst *pstrAggFunc,
									 const CColRef *colref, BOOL is_distinct,
									 EAggfuncStage eaggfuncstage, BOOL fSplit);
	// generate a count(*) expression
	static CExpression *PexprCountStar(CMemoryPool *mp);
	// generate a GbAgg with count(*) function over the given expression
	static CExpression *PexprCountStar(CMemoryPool *mp,
									   CExpression *pexprLogical);
	// return True if passed expression is a Project Element defined on count(*)/count(any) agg
	static BOOL FCountAggProjElem(CExpression *pexprPrjElem,
								  CColRef **ppcrCount);
	// check if given expression has a count(*)/count(Any) agg
	static BOOL FHasCountAgg(CExpression *pexpr, CColRef **ppcrCount);
	// check if given expression has count matching the given column, returns the Logical GroupBy Agg above
	static BOOL FHasCountAggMatchingColumn(const CExpression *pexpr,
										   const CColRef *colref,
										   const CLogicalGbAgg **ppgbAgg);
	// generate a GbAgg with count(*) and sum(col) over the given expression
	static CExpression *PexprCountStarAndSum(CMemoryPool *mp,
											 const CColRef *colref,
											 CExpression *pexprLogical);
	// generate a sum(col) expression
	static CExpression *PexprSum(CMemoryPool *mp, const CColRef *colref);
	// generate a GbAgg with sum(col) expressions for all columns in the given array
	static CExpression *PexprGbAggSum(CMemoryPool *mp,
									  CExpression *pexprLogical,
									  CColRefArray *pdrgpcrSum);
	// generate a count(col) expression
	static CExpression *PexprCount(CMemoryPool *mp, const CColRef *colref,
								   BOOL is_distinct);
	// generate a min(col) expression
	static CExpression *PexprMin(CMemoryPool *mp, CMDAccessor *md_accessor,
								 const CColRef *colref);
	// generate an aggregate expression
	static CExpression *PexprAgg(CMemoryPool *mp, CMDAccessor *md_accessor,
								 IMDType::EAggType agg_type,
								 const CColRef *colref, BOOL is_distinct);
	// generate a select expression
	static CExpression *PexprLogicalSelect(CMemoryPool *mp, CExpression *pexpr,
										   CExpression *pexprPredicate);
	// if predicate is True return logical expression, otherwise return a new select node
	static CExpression *PexprSafeSelect(CMemoryPool *mp,
										CExpression *pexprLogical,
										CExpression *pexprPredicate);
	// generate a select expression, if child is another Select expression collapse both Selects into one expression
	static CExpression *PexprCollapseSelect(CMemoryPool *mp, CExpression *pexpr,
											CExpression *pexprPredicate);
	// generate a project expression
	static CExpression *PexprLogicalProject(CMemoryPool *mp, CExpression *pexpr,
											CExpression *pexprPrjList,
											BOOL fNewComputedCol);
	// generate a sequence project expression
	static CExpression *PexprLogicalSequenceProject(CMemoryPool *mp,
													CDistributionSpec *pds,
													COrderSpecArray *pdrgpos,
													CWindowFrameArray *pdrgpwf,
													CExpression *pexpr,
													CExpression *pexprPrjList);
	// generate a projection of NULL constants
	// to the map 'colref_mapping', and add the mappings to the colref_mapping map if not NULL
	static CExpression *PexprLogicalProjectNulls(
		CMemoryPool *mp, CColRefArray *colref_array, CExpression *pexpr,
		UlongToColRefMap *colref_mapping = nullptr);
	// construct a project list using the given columns and datums
	// store the mapping in the colref_mapping map if not NULL
	static CExpression *PexprScalarProjListConst(
		CMemoryPool *mp, CColRefArray *colref_array, IDatumArray *pdrgpdatum,
		UlongToColRefMap *colref_mapping);
	// generate a project expression
	static CExpression *PexprAddProjection(CMemoryPool *mp, CExpression *pexpr,
										   CExpression *pexprProjected);
	// generate a project expression with one or more additional project elements
	static CExpression *PexprAddProjection(CMemoryPool *mp, CExpression *pexpr,
										   CExpressionArray *pdrgpexprProjected,
										   BOOL fNewComputedCol = true);
	// generate an aggregate expression
	static CExpression *PexprLogicalGbAggGlobal(CMemoryPool *mp,
												CColRefArray *colref_array,
												CExpression *pexpr,
												CExpression *pexprPrL);
	// generate an aggregate expression
	static CExpression *PexprLogicalGbAgg(CMemoryPool *mp,
										  CColRefArray *colref_array,
										  CExpression *pexpr,
										  CExpression *pexprPrL,
										  COperator::EGbAggType egbaggtype);
	// check if the aggregate is local or global
	static BOOL FHasGlobalAggFunc(const CExpression *pexprProjList);
	// generate a bool expression
	static CExpression *PexprScalarConstBool(CMemoryPool *mp, BOOL value,
											 BOOL is_null = false);
	// generate an int4 expression
	static CExpression *PexprScalarConstInt4(CMemoryPool *mp, INT val);
	// generate an int8 expression
	static CExpression *PexprScalarConstInt8(CMemoryPool *mp, LINT val,
											 BOOL is_null = false);
	// generate an oid constant expression
	static CExpression *PexprScalarConstOid(CMemoryPool *mp, OID oid_val);
	// generate a NULL constant of a given type
	static CExpression *PexprScalarConstNull(CMemoryPool *mp,
											 const IMDType *typ,
											 INT type_modifier);
	// comparison operator type
	static IMDType::ECmpType ParseCmpType(IMDId *mdid);
	// comparison operator type
	static IMDType::ECmpType ParseCmpType(CMDAccessor *md_accessor,
										  IMDId *mdid);
	// generate a binary join expression
	template <class T>
	static CExpression *PexprLogicalJoin(
		CMemoryPool *mp, CExpression *pexprLeft, CExpression *pexprRight,
		CExpression *pexprPredicate,
		CXform::EXformId origin_xform = CXform::ExfSentinel);
	// generate an apply expression
	template <class T>
	static CExpression *PexprLogicalApply(CMemoryPool *mp,
										  CExpression *pexprLeft,
										  CExpression *pexprRight,
										  CExpression *pexprPred = nullptr);
	// generate an apply expression with a known inner column
	template <class T>
	static CExpression *PexprLogicalApply(
		CMemoryPool *mp, CExpression *pexprLeft, CExpression *pexprRight,
		const CColRef *pcrInner, COperator::EOperatorId eopidOriginSubq,
		CExpression *pexprPred = nullptr);
	// generate an apply expression with a known array of inner columns
	template <class T>
	static CExpression *PexprLogicalApply(
		CMemoryPool *mp, CExpression *pexprLeft, CExpression *pexprRight,
		CColRefArray *pdrgpcrInner, COperator::EOperatorId eopidOriginSubq,
		CExpression *pexprPred = nullptr);
	// generate a correlated apply for quantified subquery with a known array of inner columns
	template <class T>
	static CExpression *PexprLogicalCorrelatedQuantifiedApply(
		CMemoryPool *mp, CExpression *pexprLeft, CExpression *pexprRight,
		CColRefArray *pdrgpcrInner, COperator::EOperatorId eopidOriginSubq,
		CExpression *pexprPred = nullptr);
	//-------------------------------------------------------------------
	// Helpers for partitioning
	//-------------------------------------------------------------------
	// extract the nth partition key from the given array of partition keys
	static CColRef *PcrExtractPartKey(CColRef2dArray *pdrgpdrgpcr,
									  ULONG ulLevel);
	//-------------------------------------------------------------------
	// Helpers for comparisons
	//-------------------------------------------------------------------
	// deduplicate array of expressions
	static CExpressionArray *PdrgpexprDedup(CMemoryPool *mp,
											CExpressionArray *pdrgpexpr);
	// deep equality of expression trees
	static BOOL Equals(const CExpression *pexprLeft,
					   const CExpression *pexprRight);
	// compare expression against an array of expressions
	static BOOL FEqualAny(const CExpression *pexpr,
						  const CExpressionArray *pdrgpexpr);
	// deep equality of expression arrays
	static BOOL Equals(const CExpressionArray *pdrgpexprLeft,
					   const CExpressionArray *pdrgpexprRight);
	// check if first expression array contains all expressions in second array
	static BOOL Contains(const CExpressionArray *pdrgpexprFst,
						 const CExpressionArray *pdrgpexprSnd);
	// return the number of occurrences of the given expression in the given
	// array of expressions
	static ULONG UlOccurrences(const CExpression *pexpr,
							   CExpressionArray *pdrgpexpr);
	//-------------------------------------------------------------------
	// Helpers for datums
	//-------------------------------------------------------------------
	// check to see if the expression is a scalar const TRUE
	static BOOL FScalarConstTrue(CExpression *pexpr);
	// check to see if the expression is a scalar const FALSE
	static BOOL FScalarConstFalse(CExpression *pexpr);
	// check if the given expression is an INT, the template parameter is an INT type
	template <class T>
	static BOOL FScalarConstInt(CExpression *pexpr);
	//-------------------------------------------------------------------
	// Helpers for printing
	//-------------------------------------------------------------------
	// column reference array print helper
	static IOstream &OsPrintDrgPcr(IOstream &os,
								   const CColRefArray *colref_array,
								   ULONG = gpos::ulong_max);
	//-------------------------------------------------------------------
	// Helpers for column reference sets
	//-------------------------------------------------------------------
	// create an array of output columns including a key for grouping
	static CColRefArray *PdrgpcrGroupingKey(CMemoryPool *mp, CExpression *pexpr,
											CColRefArray **ppdrgpcrKey);
	// add an equivalence class (col ref set) to the array. If the new equiv
	// class contains columns from existing equiv classes, then these are merged
	static CColRefSetArray *AddEquivClassToArray(
		CMemoryPool *mp, const CColRefSet *pcrsNew,
		const CColRefSetArray *pdrgpcrs);
	// merge 2 arrays of equivalence classes
	static CColRefSetArray *PdrgpcrsMergeEquivClasses(
		CMemoryPool *mp, CColRefSetArray *pdrgpcrsFst,
		CColRefSetArray *pdrgpcrsSnd);
	// intersect 2 arrays of equivalence classes
	static CColRefSetArray *PdrgpcrsIntersectEquivClasses(
		CMemoryPool *mp, CColRefSetArray *pdrgpcrsFst,
		CColRefSetArray *pdrgpcrsSnd);
	// return a copy of equivalence classes from all children
	static CColRefSetArray *PdrgpcrsCopyChildEquivClasses(
		CMemoryPool *mp, CExpressionHandle &exprhdl);
	// return a copy of the given array of columns, excluding the columns
	// in the given colrefset
	static CColRefArray *PdrgpcrExcludeColumns(CMemoryPool *mp,
											   CColRefArray *pdrgpcrOriginal,
											   CColRefSet *pcrsExcluded);
	//-------------------------------------------------------------------
	// General helpers
	//-------------------------------------------------------------------
	// append elements from input array to output array, starting from given index, after add-refing them
	template <class T, void (*CleanupFn)(T *)>
	static void AddRefAppend(CDynamicPtrArray<T, CleanupFn> *pdrgptOutput,
							 CDynamicPtrArray<T, CleanupFn> *pdrgptInput,
							 ULONG ulStart = 0);
	// check for existence of subqueries
	static BOOL FHasSubquery(CExpression *pexpr);
	// check existence of subqueries or Apply operators in deep expression tree
	static BOOL FHasSubqueryOrApply(CExpression *pexpr, BOOL fCheckRoot = true);
	// check existence of correlated apply operators in deep expression tree
	static BOOL FHasCorrelatedApply(CExpression *pexpr, BOOL fCheckRoot = true);
	// check for existence of CTE anchor
	static BOOL FHasCTEAnchor(CExpression *pexpr);
	// check for existence of outer references
	static BOOL HasOuterRefs(CExpression *pexpr);
	// check if a given operator is a logical join
	static BOOL FLogicalJoin(COperator *pop);
	// check if a given operator is a logical set operation
	static BOOL FLogicalSetOp(COperator *pop);
	// check if a given operator is a logical unary operator
	static BOOL FLogicalUnary(COperator *pop);
	// check if a given operator is a physical join
	static BOOL FPhysicalJoin(COperator *pop);
	// check if a given operator is a physical left outer join
	static BOOL FPhysicalLeftOuterJoin(COperator *pop);
	// check if a given operator is a physical scan
	static BOOL FPhysicalScan(COperator *pop);
	// check if a given operator is a physical agg
	static BOOL FPhysicalAgg(COperator *pop);
	// check if given expression has any one stage agg nodes
	static BOOL FHasOneStagePhysicalAgg(const CExpression *pexpr);
	// check if a given operator is a physical motion
	static BOOL FPhysicalMotion(COperator *pop);
	// check if duplicate values can be generated by the given distribution spec
	static BOOL FDuplicateHazardDistributionSpec(CDistributionSpec *pds);
	// check if duplicate values can be generated by the given Motion expression
	static BOOL FDuplicateHazardMotion(CExpression *pexprMotion);
	// check if a given operator is an enforcer
	static BOOL FEnforcer(COperator *pop);
	// check if a given operator is a hash join
	static BOOL FHashJoin(COperator *pop);
	// check if a given operator is a correlated nested loops join
	static BOOL FCorrelatedNLJoin(COperator *pop);
	// check if a given operator is a nested loops join
	static BOOL FNLJoin(COperator *pop);
	// check if a given operator is an Apply
	static BOOL FApply(COperator *pop);
	// check if a given operator is a correlated Apply
	static BOOL FCorrelatedApply(COperator *pop);
	// check if a given operator is left semi apply
	static BOOL FLeftSemiApply(COperator *pop);
	// check if a given operator is left anti semi apply
	static BOOL FLeftAntiSemiApply(COperator *pop);
	// check if a given operator is a subquery
	static BOOL FSubquery(COperator *pop);
	// check if a given operator is existential subquery
	static BOOL FExistentialSubquery(COperator *pop);
	// check if a given operator is quantified subquery
	static BOOL FQuantifiedSubquery(COperator *pop);
	// check if given expression is a Project Element with scalar subquery
	static BOOL FProjElemWithScalarSubq(CExpression *pexpr);
	// check if given expression is a scalar subquery with a ConstTableGet as the only child
	static BOOL FScalarSubqWithConstTblGet(CExpression *pexpr);
	// check if given expression is a Project on ConstTable with one scalar subquery in Project List
	static BOOL FProjectConstTableWithOneScalarSubq(CExpression *pexpr);
	// check if an expression is a 0 offset
	static BOOL FScalarConstIntZero(CExpression *pexprOffset);
	// check if a limit expression has 0 offset
	static BOOL FHasZeroOffset(CExpression *pexpr);
	// check if expression is scalar comparison
	static BOOL FScalarCmp(CExpression *pexpr);
	// check if expression is scalar array comparison
	static BOOL FScalarArrayCmp(CExpression *pexpr);
	// check if given operator exists in the given list
	static BOOL FOpExists(const COperator *pop,
						  const COperator::EOperatorId *peopid, ULONG ulOps);
	// check if given expression has any operator in the given list
	static BOOL FHasOp(const CExpression *pexpr,
					   const COperator::EOperatorId *peopid, ULONG ulOps);
	// return number of inlinable CTEs in the given expression
	static ULONG UlInlinableCTEs(CExpression *pexpr, ULONG ulDepth = 1);
	// return number of joins in the given expression
	static ULONG UlJoins(CExpression *pexpr);
	// return number of subqueries in the given expression
	static ULONG UlSubqueries(CExpression *pexpr);
	// check if expression is scalar bool op
	static BOOL FScalarBoolOp(CExpression *pexpr);
	// is the given expression a scalar bool op of the passed type?
	static BOOL FScalarBoolOp(CExpression *pexpr,
							  CScalarBoolOp::EBoolOperator eboolop);
	// check if expression is scalar null test
	static BOOL FScalarNullTest(CExpression *pexpr);
	// check if given expression is a NOT NULL predicate
	static BOOL FScalarNotNull(CExpression *pexpr);
	// check if expression is scalar identifier
	static BOOL FScalarIdent(CExpression *pexpr);
	// check if expression is scalar identifier (with or without a cast)
	static BOOL FScalarIdentIgnoreCast(CExpression *pexpr);
	static BOOL FScalarConstAndScalarIdentArray(CExpression *pexprArray);
	// check if expression is scalar identifier of boolean type
	static BOOL FScalarIdentBoolType(CExpression *pexpr);
	// check if expression is scalar array
	static BOOL FScalarArray(CExpression *pexpr);
	// returns number of children or constants of it is all constants
	static ULONG UlScalarArrayArity(CExpression *pexpr);
	// returns constant operator of a scalar array expression
	static CScalarConst *PScalarArrayConstChildAt(CExpression *pexprArray,
												  ULONG ul);
	// returns constant expression of a scalar array expression
	static CExpression *PScalarArrayExprChildAt(CMemoryPool *mp,
												CExpression *pexprArray,
												ULONG ul);
	// returns the scalar array expression child of CScalarArrayComp
	static CExpression *PexprScalarArrayChild(CExpression *pexpr);
	// returns if the scalar array has all constant elements or children
	static BOOL FScalarConstArray(CExpression *pexpr);
	// returns if the scalar constant is an array
	static BOOL FIsConstArray(CExpression *pexpr);
	// returns MDId for gp_percentile based on return type
	static CMDIdGPDB *GetPercentileAggMDId(CMemoryPool *mp,
										   CExpression *pexprAggFn);
	// returns if the scalar constant array has already been collapased
	static BOOL FScalarArrayCollapsed(CExpression *pexprArray);
	// returns true if the subquery is a ScalarSubqueryAny
	static BOOL FAnySubquery(COperator *pop);
	static CScalarProjectElement *PNthProjectElement(CExpression *pexpr,
													 ULONG ul);
	// returns the expression under the Nth project element of a CLogicalProject
	static CExpression *PNthProjectElementExpr(CExpression *pexpr, ULONG ul);
	// check if the Project list has an inner reference assuming project list has one projecet element
	static BOOL FInnerRefInProjectList(CExpression *pexpr);
	// Check if expression tree has a col being referenced in the CColRefSet passed as input
	static BOOL FExprHasAnyCrFromCrs(CExpression *pexpr, CColRefSet *pcrs);
	// If it's a scalar array of all CScalarConst, collapse it into a single
	// expression but keep the constants in the operator.
	static CExpression *PexprCollapseConstArray(CMemoryPool *mp,
												CExpression *pexprArray);
	// check if expression is scalar array coerce
	static BOOL FScalarArrayCoerce(CExpression *pexpr);
	// is the given expression a scalar identifier with the given column reference
	static BOOL FScalarIdent(CExpression *pexpr, CColRef *colref);
	// check if expression is scalar const
	static BOOL FScalarConst(CExpression *pexpr);
	// check if this is a variable-free expression
	static BOOL FVarFreeExpr(CExpression *pexpr);
	// check if expression is a predicate
	static BOOL FPredicate(CExpression *pexpr);
	// is this type supported in contradiction detection using stats logic
	static BOOL FIntType(IMDId *mdid_type);
	// is this type supported in contradiction detection
	static BOOL FConstrainableType(IMDId *mdid_type);
	// check if a binary operator uses only columns produced by its children
	static BOOL FUsesChildColsOnly(CExpressionHandle &exprhdl);
	// check if inner child of a binary operator uses columns not produced by outer child
	static BOOL FInnerUsesExternalCols(CExpressionHandle &exprhdl);
	// check if inner child of a binary operator uses only columns not produced by outer child
	static BOOL FInnerUsesExternalColsOnly(CExpressionHandle &exprhdl);
	// check if comparison operators are available for the given columns
	static BOOL FComparisonPossible(CColRefArray *colref_array,
									IMDType::ECmpType cmp_type);
	static ULONG UlCountOperator(const CExpression *pexpr,
								 COperator::EOperatorId op_id);
	// return the max subset of redistributable columns for the given columns
	static CColRefArray *PdrgpcrRedistributableSubset(
		CMemoryPool *mp, CColRefArray *colref_array);
	// check if hashing is possible for the given columns
	static BOOL IsHashable(CColRefArray *colref_array);
	// check if the given operator is a logical DML operator
	static BOOL FLogicalDML(COperator *pop);
	// return regular string from wide-character string
	static CHAR *CreateMultiByteCharStringFromWCString(CMemoryPool *mp,
													   WCHAR *wsz);
	// return column reference defined by project element
	static CColRef *PcrFromProjElem(CExpression *pexprPrEl);
	// construct an array of colids from the given array of column references
	static ULongPtrArray *Pdrgpul(CMemoryPool *mp,
								  const CColRefArray *colref_array);
	// generate a timestamp-based file name
	static void GenerateFileName(CHAR *buf, const CHAR *szPrefix,
								 const CHAR *szExt, ULONG length,
								 ULONG ulSessionId, ULONG ulCmdId);
	// return the mapping of the given colref based on the given hashmap
	static CColRef *PcrRemap(const CColRef *colref,
							 UlongToColRefMap *colref_mapping, BOOL must_exist);
	// create a new colrefset corresponding to the given colrefset
	// and based on the given mapping
	static CColRefSet *PcrsRemap(CMemoryPool *mp, CColRefSet *pcrs,
								 UlongToColRefMap *colref_mapping,
								 BOOL must_exist);
	// create an array of column references corresponding to the given array
	// and based on the given mapping
	static CColRefArray *PdrgpcrRemap(CMemoryPool *mp,
									  CColRefArray *colref_array,
									  UlongToColRefMap *colref_mapping,
									  BOOL must_exist);
	// create an array of column references corresponding to the given array
	// and based on the given mapping and create new colrefs if necessary
	static CColRefArray *PdrgpcrRemapAndCreate(
		CMemoryPool *mp, CColRefArray *colref_array,
		UlongToColRefMap *colref_mapping);
	// create an array of column arrays corresponding to the given array
	// and based on the given mapping
	static CColRef2dArray *PdrgpdrgpcrRemap(CMemoryPool *mp,
											CColRef2dArray *pdrgpdrgpcr,
											UlongToColRefMap *colref_mapping,
											BOOL must_exist);
	// remap given array of expressions with provided column mappings
	static CExpressionArray *PdrgpexprRemap(CMemoryPool *mp,
											CExpressionArray *pdrgpexpr,
											UlongToColRefMap *colref_mapping);
	// create ColRef->ColRef mapping using the given ColRef arrays
	static UlongToColRefMap *PhmulcrMapping(CMemoryPool *mp,
											CColRefArray *pdrgpcrFrom,
											CColRefArray *pdrgpcrTo);
	// add col ID->ColRef mappings to the given hashmap based on the
	// given ColRef arrays
	static void AddColumnMapping(CMemoryPool *mp,
								 UlongToColRefMap *colref_mapping,
								 CColRefArray *pdrgpcrFrom,
								 CColRefArray *pdrgpcrTo);
	// create a copy of the array of column references
	static CColRefArray *PdrgpcrExactCopy(CMemoryPool *mp,
										  CColRefArray *colref_array);
	// create an array of new column references with the same names and
	// types as the given column references.
	// if the passed map is not null, mappings from old to copied variables are added to it
	static CColRefArray *PdrgpcrCopy(
		CMemoryPool *mp, CColRefArray *colref_array, BOOL fAllComputed = false,
		UlongToColRefMap *colref_mapping = nullptr);
	// equality check between two arrays of column refs. Inputs can be NULL
	static BOOL Equals(CColRefArray *pdrgpcrFst, CColRefArray *pdrgpcrSnd);
	// compute hash value for an array of column references
	static ULONG UlHashColArray(const CColRefArray *colref_array,
								const ULONG ulMaxCols = 5);
	// return the set of column reference from the CTE Producer corresponding to the
	// subset of input columns from the CTE Consumer
	static CColRefSet *PcrsCTEProducerColumns(
		CMemoryPool *mp, CColRefSet *pcrsInput,
		CLogicalCTEConsumer *popCTEConsumer);
	// construct the join condition (AND-tree of INDF operators)
	// from the array of input columns reference arrays (aligned)
	static CExpression *PexprConjINDFCond(CMemoryPool *mp,
										  CColRef2dArray *pdrgpdrgpcrInput);
	// check whether a colref array contains repeated items
	static BOOL FHasDuplicates(const CColRefArray *colref_array);
	// cast the input expression to the destination mdid
	static CExpression *PexprCast(CMemoryPool *mp, CMDAccessor *md_accessor,
								  CExpression *pexpr, IMDId *mdid_dest);
	// construct a logical join expression of the given type, with the given children
	static CExpression *PexprLogicalJoin(CMemoryPool *mp,
										 EdxlJoinType edxljointype,
										 CExpressionArray *pdrgpexpr);
	// construct an array of scalar ident expressions from the given array
	// of column references
	static CExpressionArray *PdrgpexprScalarIdents(CMemoryPool *mp,
												   CColRefArray *colref_array);
	// return the columns from the scalar ident expressions in the given array
	static CColRefSet *PcrsExtractColumns(CMemoryPool *mp,
										  const CExpressionArray *pdrgpexpr);
	// create a new bitset of the given length, where all the bits are set
	static CBitSet *PbsAllSet(CMemoryPool *mp, ULONG size);
	// return a new bitset, setting the bits in the given array
	static CBitSet *Pbs(CMemoryPool *mp, ULongPtrArray *pdrgpul);
	// helper to create a dummy constant table expression
	static CExpression *PexprLogicalCTGDummy(CMemoryPool *mp);
	// map a column from source array to destination array based on position
	static CColRef *PcrMap(CColRef *pcrSource, CColRefArray *pdrgpcrSource,
						   CColRefArray *pdrgpcrTarget);
	//	return index of the set containing given column
	static ULONG UlPcrIndexContainingSet(CColRefSetArray *pdrgpcrs,
										 const CColRef *colref);
	// collapse the top two project nodes, if unable return NULL
	static CExpression *PexprCollapseProjects(CMemoryPool *mp,
											  CExpression *pexpr);
	// match function between index get/scan operators
	template <class T>
	static BOOL FMatchIndex(T *pop1, COperator *pop2);
	// match function between dynamic index get/scan operators
	template <class T>
	static BOOL FMatchDynamicIndex(T *pop1, COperator *pop2);
	// match function between dynamic get/scan operators
	template <class T>
	static BOOL FMatchDynamicScan(T *pop1, COperator *pop2);
	// match function between dynamic bitmap get/scan operators
	template <class T>
	static BOOL FMatchDynamicBitmapScan(T *pop1, COperator *pop2);
	// match function between bitmap get/scan operators
	template <class T>
	static BOOL FMatchBitmapScan(T *pop1, COperator *pop2);
	// compares two Idatums, useful for sorting functions
	static INT IDatumCmp(const void *val1, const void *val2);
	// compares two CPoints, useful for sorting functions
	static INT CPointCmp(const void *val1, const void *val2);
	// check if the equivalance classes are disjoint
	static BOOL FEquivalanceClassesDisjoint(CMemoryPool *mp,
											const CColRefSetArray *pdrgpcrs);
	// check if the equivalance classes are same
	static BOOL FEquivalanceClassesEqual(CMemoryPool *mp,
										 CColRefSetArray *pdrgpcrsFst,
										 CColRefSetArray *pdrgpcrsSnd);
	// get execution locality
	static EExecLocalityType ExecLocalityType(CDistributionSpec *pds);
	// generate a limit expression on top of the given relational child with the given offset and limit count
	static CExpression *PexprLimit(CMemoryPool *mp, CExpression *pexpr,
								   ULONG ulOffSet, ULONG count);
	// generate part oid
	static BOOL FGeneratePartOid(IMDId *mdid);
	// return true if given expression contains window aggregate function
	static BOOL FHasAggWindowFunc(CExpression *pexpr);
	// return true if given expression contains ordered aggregate function
	static BOOL FHasOrderedAggToSplit(CExpression *pexpr);
	// return true if the given expression is a cross join
	static BOOL FCrossJoin(CExpression *pexpr);
	// return true if can create hash join for the expression
	static BOOL IsHashJoinPossible(CMemoryPool *mp, CExpression *pexpr);
	// is this scalar expression an NDV-preserving function (used for join stats derivation)
	static BOOL IsExprNDVPreserving(CExpression *pexpr,
									const CColRef **underlying_colref);
	// search the given array of predicates for predicates with equality or IS NOT
	// DISTINCT FROM operators that has one side equal to the given expression
	static CExpression *PexprMatchEqualityOrINDF(
		CExpression *pexprToMatch,
		CExpressionArray *pdrgpexpr	 // array of predicates to inspect
	);
	static CExpression *MakeJoinWithoutInferredPreds(CMemoryPool *mp,
													 CExpression *join_expr);
	static BOOL Contains(const CExpressionArray *exprs,
						 CExpression *expr_to_match);
	static BOOL Equals(const CExpressionArrays *exprs_arr,
					   const CExpressionArrays *other_exprs_arr);
	static BOOL Equals(const IMdIdArray *mdids, const IMdIdArray *other_mdids);
	static BOOL Equals(const IMDId *mdid, const IMDId *other_mdid);
	static BOOL CanRemoveInferredPredicates(COperator::EOperatorId op_id);
	static CExpressionArrays *GetCombinedExpressionArrays(
		CMemoryPool *mp, CExpressionArrays *exprs_array,
		CExpressionArrays *exprs_array_other);
	static void AddExprs(CExpressionArrays *results_exprs,
						 CExpressionArrays *input_exprs);
	static BOOL FScalarConstBoolNull(CExpression *pexpr);
};	// class CUtils
// hash set from expressions
using ExprHashSet = CHashSet<CExpression, CExpression::UlHashDedup,
							 CUtils::Equals, CleanupRelease<CExpression>>;
//---------------------------------------------------------------------------
//	@function:
//		CUtils::PexprLogicalJoin
//
//	@doc:
//		Generate a join expression from given expressions
//
//---------------------------------------------------------------------------
template <class T>
CExpression *
CUtils::PexprLogicalJoin(CMemoryPool *mp, CExpression *pexprLeft,
						 CExpression *pexprRight, CExpression *pexprPredicate,
						 CXform::EXformId origin_xform)
{
	GPOS_ASSERT(nullptr != pexprLeft);
	GPOS_ASSERT(nullptr != pexprRight);
	GPOS_ASSERT(nullptr != pexprPredicate);
	return GPOS_NEW(mp) CExpression(mp, GPOS_NEW(mp) T(mp, origin_xform),
									pexprLeft, pexprRight, pexprPredicate);
}
//---------------------------------------------------------------------------
//	@function:
//		CUtils::PexprLogicalApply
//
//	@doc:
//		Generate an apply expression from given expressions
//
//---------------------------------------------------------------------------
template <class T>
CExpression *
CUtils::PexprLogicalApply(CMemoryPool *mp, CExpression *pexprLeft,
						  CExpression *pexprRight, CExpression *pexprPred)
{
	GPOS_ASSERT(nullptr != pexprLeft);
	GPOS_ASSERT(nullptr != pexprRight);
	CExpression *pexprScalar = pexprPred;
	if (nullptr == pexprPred)
	{
		pexprScalar = PexprScalarConstBool(mp, true /*value*/);
	}
	return GPOS_NEW(mp)
		CExpression(mp, GPOS_NEW(mp) T(mp), pexprLeft, pexprRight, pexprScalar);
}
//---------------------------------------------------------------------------
//	@function:
//		CUtils::PexprLogicalApply
//
//	@doc:
//		Generate an apply expression with a known inner column
//
//---------------------------------------------------------------------------
template <class T>
CExpression *
CUtils::PexprLogicalApply(CMemoryPool *mp, CExpression *pexprLeft,
						  CExpression *pexprRight, const CColRef *pcrInner,
						  COperator::EOperatorId eopidOriginSubq,
						  CExpression *pexprPred)
{
	GPOS_ASSERT(nullptr != pexprLeft);
	GPOS_ASSERT(nullptr != pexprRight);
	GPOS_ASSERT(nullptr != pcrInner);
	CExpression *pexprScalar = pexprPred;
	if (nullptr == pexprPred)
	{
		pexprScalar = PexprScalarConstBool(mp, true /*value*/);
	}
	CColRefArray *colref_array = GPOS_NEW(mp) CColRefArray(mp);
	colref_array->Append(const_cast<CColRef *>(pcrInner));
	return GPOS_NEW(mp)
		CExpression(mp, GPOS_NEW(mp) T(mp, colref_array, eopidOriginSubq),
					pexprLeft, pexprRight, pexprScalar);
}
//---------------------------------------------------------------------------
//	@function:
//		CUtils::PexprLogicalApply
//
//	@doc:
//		Generate an apply expression with known array of inner columns
//
//---------------------------------------------------------------------------
template <class T>
CExpression *
CUtils::PexprLogicalApply(CMemoryPool *mp, CExpression *pexprLeft,
						  CExpression *pexprRight, CColRefArray *pdrgpcrInner,
						  COperator::EOperatorId eopidOriginSubq,
						  CExpression *pexprPred)
{
	GPOS_ASSERT(nullptr != pexprLeft);
	GPOS_ASSERT(nullptr != pexprRight);
	GPOS_ASSERT(nullptr != pdrgpcrInner);
	GPOS_ASSERT(0 < pdrgpcrInner->Size());
	CExpression *pexprScalar = pexprPred;
	if (nullptr == pexprPred)
	{
		pexprScalar = PexprScalarConstBool(mp, true /*value*/);
	}
	return GPOS_NEW(mp)
		CExpression(mp, GPOS_NEW(mp) T(mp, pdrgpcrInner, eopidOriginSubq),
					pexprLeft, pexprRight, pexprScalar);
}
//---------------------------------------------------------------------------
//	@class:
//		CUtils::PexprLogicalCorrelatedQuantifiedApply
//
//	@doc:
//		Helper to create a left semi correlated apply from left semi apply
//
//---------------------------------------------------------------------------
template <class T>
CExpression *
CUtils::PexprLogicalCorrelatedQuantifiedApply(
	CMemoryPool *mp, CExpression *pexprLeft, CExpression *pexprRight,
	CColRefArray *pdrgpcrInner, COperator::EOperatorId eopidOriginSubq,
	CExpression *pexprPred)
{
	GPOS_ASSERT(nullptr != pexprLeft);
	GPOS_ASSERT(nullptr != pexprRight);
	GPOS_ASSERT(nullptr != pdrgpcrInner);
	GPOS_ASSERT(0 < pdrgpcrInner->Size());
	CExpression *pexprScalar = pexprPred;
	if (nullptr == pexprPred)
	{
		pexprScalar = PexprScalarConstBool(mp, true /*value*/);
	}
	if (COperator::EopLogicalSelect != pexprRight->Pop()->Eopid())
	{
		// quantified comparison was pushed down, we create a dummy comparison here
		GPOS_ASSERT(
			!CUtils::HasOuterRefs(pexprRight) &&
			"unexpected outer references in inner child of Semi Apply expression ");
		pexprScalar->Release();
		pexprScalar = PexprScalarConstBool(mp, true /*value*/);
	}
	else
	{
		// quantified comparison is now on top of inner expression, skip to child
		(*pexprRight)[1]->AddRef();
		CExpression *pexprNewPredicate = (*pexprRight)[1];
		pexprScalar->Release();
		pexprScalar = pexprNewPredicate;
		(*pexprRight)[0]->AddRef();
		CExpression *pexprChild = (*pexprRight)[0];
		pexprRight->Release();
		pexprRight = pexprChild;
	}
	return GPOS_NEW(mp)
		CExpression(mp, GPOS_NEW(mp) T(mp, pdrgpcrInner, eopidOriginSubq),
					pexprLeft, pexprRight, pexprScalar);
}
//---------------------------------------------------------------------------
//	@function:
//		CUtils::AddRefAppend
//
//	@doc:
//		Append elements from input array to output array, starting from
//		given index, after add-refing them
//
//---------------------------------------------------------------------------
template <class T, void (*CleanupFn)(T *)>
void
CUtils::AddRefAppend(CDynamicPtrArray<T, CleanupFn> *pdrgptOutput,
					 CDynamicPtrArray<T, CleanupFn> *pdrgptInput, ULONG ulStart)
{
	GPOS_ASSERT(nullptr != pdrgptOutput);
	GPOS_ASSERT(nullptr != pdrgptInput);
	const ULONG size = pdrgptInput->Size();
	GPOS_ASSERT_IMP(0 < size, ulStart < size);
	for (ULONG ul = ulStart; ul < size; ul++)
	{
		T *pt = (*pdrgptInput)[ul];
		CRefCount *prc = dynamic_cast<CRefCount *>(pt);
		prc->AddRef();
		pdrgptOutput->Append(pt);
	}
}
//---------------------------------------------------------------------------
//	@function:
//		CUtils::FScalarConstInt
//
//	@doc:
//		Check if the given expression is an INT,
//		the template parameter is an INT type
//
//---------------------------------------------------------------------------
template <class T>
BOOL
CUtils::FScalarConstInt(CExpression *pexpr)
{
	GPOS_ASSERT(nullptr != pexpr);
	IMDType::ETypeInfo type_info = T::GetTypeInfo();
	GPOS_ASSERT(IMDType::EtiInt2 == type_info ||
				IMDType::EtiInt4 == type_info || IMDType::EtiInt8 == type_info);
	COperator *pop = pexpr->Pop();
	if (COperator::EopScalarConst == pop->Eopid())
	{
		CScalarConst *popScalarConst = CScalarConst::PopConvert(pop);
		if (type_info == popScalarConst->GetDatum()->GetDatumType())
		{
			return true;
		}
	}
	return false;
}
//---------------------------------------------------------------------------
//	@function:
//		CUtils::FMatchIndex
//
//	@doc:
//		Match function between index get/scan operators
//
//---------------------------------------------------------------------------
template <class T>
BOOL
CUtils::FMatchIndex(T *pop1, COperator *pop2)
{
	if (pop1->Eopid() != pop2->Eopid())
	{
		return false;
	}
	T *popIndex = T::PopConvert(pop2);
	return pop1->UlOriginOpId() == popIndex->UlOriginOpId() &&
		   pop1->Ptabdesc()->MDId()->Equals(popIndex->Ptabdesc()->MDId()) &&
		   pop1->Pindexdesc()->MDId()->Equals(popIndex->Pindexdesc()->MDId()) &&
		   pop1->PdrgpcrOutput()->Equals(popIndex->PdrgpcrOutput());
}
//---------------------------------------------------------------------------
//	@function:
//		CUtils::FMatchDynamicIndex
//
//	@doc:
//		Match function between dynamic index get/scan operators
//
//---------------------------------------------------------------------------
template <class T>
BOOL
CUtils::FMatchDynamicIndex(T *pop1, COperator *pop2)
{
	if (pop1->Eopid() != pop2->Eopid())
	{
		return false;
	}
	T *popIndex2 = T::PopConvert(pop2);
	// match if the index descriptors are identical
	// we will compare MDIds, so both indexes should be partial or non-partial.
	// Possible future improvement:
	// For heterogeneous indexes, we use pointer comparison of part constraints.
	// That was to avoid memory allocation because matching function was used while
	// holding spin locks. This is no longer an issue, as we don't use spin locks
	// anymore. Using a match function would mean improved matching for heterogeneous
	// indexes.
	return pop1->UlOriginOpId() == popIndex2->UlOriginOpId() &&
		   pop1->ScanId() == popIndex2->ScanId() &&
		   pop1->Ptabdesc()->MDId()->Equals(popIndex2->Ptabdesc()->MDId()) &&
		   pop1->Pindexdesc()->MDId()->Equals(
			   popIndex2->Pindexdesc()->MDId()) &&
		   pop1->PdrgpcrOutput()->Equals(popIndex2->PdrgpcrOutput());
}
//---------------------------------------------------------------------------
//	@function:
//		CUtils::FMatchDynamicScan
//
//	@doc:
//		Match function between dynamic get/scan operators
//
//---------------------------------------------------------------------------
template <class T>
BOOL
CUtils::FMatchDynamicScan(T *pop1, COperator *pop2)
{
	if (pop1->Eopid() != pop2->Eopid())
	{
		return false;
	}
	T *popScan2 = T::PopConvert(pop2);
	// match if the table descriptors are identical
	// Possible improvement:
	// For partial scans, we use pointer comparison of part constraints to avoid
	// memory allocation because matching function was used while holding spin locks.
	// Using a match function would mean improved matches for partial scans.
	return pop1->ScanId() == popScan2->ScanId() &&
		   pop1->Ptabdesc()->MDId()->Equals(popScan2->Ptabdesc()->MDId()) &&
		   pop1->PdrgpcrOutput()->Equals(popScan2->PdrgpcrOutput());
}
//---------------------------------------------------------------------------
//	@function:
//		CUtils::FMatchDynamicBitmapScan
//
//	@doc:
//		Match function between dynamic bitmap get/scan operators
//
//---------------------------------------------------------------------------
template <class T>
BOOL
CUtils::FMatchDynamicBitmapScan(T *pop1, COperator *pop2)
{
	if (pop1->Eopid() != pop2->Eopid())
	{
		return false;
	}
	T *popDynamicBitmapScan2 = T::PopConvert(pop2);
	return pop1->UlOriginOpId() == popDynamicBitmapScan2->UlOriginOpId() &&
		   FMatchDynamicScan(
			   pop1,
			   pop2);  // call match dynamic scan to compare other member vars
}
//---------------------------------------------------------------------------
//	@function:
//		CUtils::FMatchBitmapScan
//
//	@doc:
//		Match function between bitmap get/scan operators
//
//---------------------------------------------------------------------------
template <class T>
BOOL
CUtils::FMatchBitmapScan(T *pop1, COperator *pop2)
{
	if (pop1->Eopid() != pop2->Eopid())
	{
		return false;
	}
	T *popScan2 = T::PopConvert(pop2);
	return pop1->UlOriginOpId() == popScan2->UlOriginOpId() &&
		   pop1->Ptabdesc()->MDId()->Equals(popScan2->Ptabdesc()->MDId()) &&
		   pop1->PdrgpcrOutput()->Equals(popScan2->PdrgpcrOutput());
}
}  // namespace gpopt
#ifdef GPOS_DEBUG
// helper to print given expression
// outside of namespace to make sure gdb can resolve the symbol easily
void PrintExpr(void *pv);
// helper to print memo structure
void PrintMemo(void *pv);
#endif	// GPOS_DEBUG
#endif	// !GPOPT_CUtils_H
// EOF
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