greenplumn pathkeys 源码

  • 2022-08-18
  • 浏览 (209)

greenplumn pathkeys 代码

文件路径:/src/backend/optimizer/path/pathkeys.c

/*-------------------------------------------------------------------------
 *
 * pathkeys.c
 *	  Utilities for matching and building path keys
 *
 * See src/backend/optimizer/README for a great deal of information about
 * the nature and use of path keys.
 *
 *
 * Portions Copyright (c) 2005-2008, Greenplum inc
 * Portions Copyright (c) 2012-Present VMware, Inc. or its affiliates.
 * Portions Copyright (c) 1996-2019, PostgreSQL Global Development Group
 * Portions Copyright (c) 1994, Regents of the University of California
 *
 * IDENTIFICATION
 *	  src/backend/optimizer/path/pathkeys.c
 *
 *-------------------------------------------------------------------------
 */
#include "postgres.h"

#include "access/hash.h"
#include "access/stratnum.h"
#include "catalog/pg_opfamily.h"
#include "nodes/makefuncs.h"
#include "nodes/nodeFuncs.h"
#include "nodes/plannodes.h"
#include "optimizer/optimizer.h"
#include "optimizer/pathnode.h"
#include "optimizer/paths.h"
#include "partitioning/partbounds.h"
#include "utils/lsyscache.h"

#include "cdb/cdbhash.h"
#include "cdb/cdbpullup.h"		/* cdbpullup_expr(), cdbpullup_make_var() */
#include "optimizer/clauses.h"
#include "optimizer/cost.h"
#include "optimizer/planmain.h"
#include "optimizer/restrictinfo.h"
#include "parser/parsetree.h"

static bool pathkey_is_redundant(PathKey *new_pathkey, List *pathkeys);
static bool matches_boolean_partition_clause(RestrictInfo *rinfo,
											 RelOptInfo *partrel,
											 int partkeycol);
static Var *find_var_for_subquery_tle(RelOptInfo *rel, TargetEntry *tle);
static bool right_merge_direction(PlannerInfo *root, PathKey *pathkey);

static bool op_in_eclass_opfamily(Oid opno, EquivalenceClass *eclass);


/****************************************************************************
 *		PATHKEY CONSTRUCTION AND REDUNDANCY TESTING
 ****************************************************************************/

/**
 * replace_expression_mutator
 *
 * Copy an expression tree, but replace all occurrences of one node with
 *	 another.
 *
 * The replacement is passed in the context as a pointer to
 *	  ReplaceExpressionMutatorReplacement
 *
 * context should be ReplaceExpressionMutatorReplacement*
 */
Node *
replace_expression_mutator(Node *node, void *context)
{
	ReplaceExpressionMutatorReplacement *repl;

	if (node == NULL)
		return NULL;

	if (IsA(node, RestrictInfo))
	{
		RestrictInfo *info = (RestrictInfo *) node;

		return replace_expression_mutator((Node *) info->clause, context);
	}

	repl = (ReplaceExpressionMutatorReplacement *) context;
	if (equal(node, repl->replaceThis))
	{
		repl->numReplacementsDone++;
		return copyObject(repl->withThis);
	}
	return expression_tree_mutator(node, replace_expression_mutator, (void *) context);
}

/*
 * op_in_eclass_opfamily
 *
 *		Return t iff operator 'opno' is in eclass's operator family.
 *
 * This function only considers search operators, not ordering operators.
 */
static bool
op_in_eclass_opfamily(Oid opno, EquivalenceClass *eclass)
{
	ListCell	*lc;

	foreach(lc, eclass->ec_opfamilies)
	{
		Oid		opfamily = lfirst_oid(lc);

		if (op_in_opfamily(opno, opfamily))
			return true;
	}
	return false;
}

/**
 * Generate implied qual
 * Input:
 *	root - planner information
 *	old_rinfo - old clause to infer from
 *	old_expr - the expression to be replaced
 *	new_expr - new expression replacing it
 */
static void
gen_implied_qual(PlannerInfo *root,
				 RestrictInfo *old_rinfo,
				 Node *old_expr,
				 Node *new_expr)
{
	Node	   *new_clause;
	ReplaceExpressionMutatorReplacement ctx;
	Relids		new_qualscope;
	ListCell   *lc;
	RestrictInfo *new_rinfo;

	/* Expression types must match */
	Assert(exprType(old_expr) == exprType(new_expr)
		   && exprTypmod(old_expr) == exprTypmod(new_expr));

	/*
	 * Clone the clause, replacing first node with the second.
	 */
	ctx.replaceThis = old_expr;
	ctx.withThis = new_expr;
	ctx.numReplacementsDone = 0;
	new_clause = (Node *) replace_expression_mutator((Node *) old_rinfo->clause, &ctx);

	if (ctx.numReplacementsDone == 0)
		return;

	new_qualscope = pull_varnos(new_clause);
	if (new_qualscope == NULL)
		return;

	if (subexpression_match((Expr *) new_expr, old_rinfo->clause))
		return;

	/*
	 * Have we seen this clause before? This is needed to avoid infinite
	 * recursion.
	 */
	foreach(lc, root->non_eq_clauses)
	{
		RestrictInfo *r = (RestrictInfo *) lfirst(lc);

		if (equal(r->clause, new_clause))
			return;
	}

	/*
	 * Ok, we're good to go. Construct a new RestrictInfo, and pass it to
	 * distribute_to_rels(). This is a cut-down version of
	 * distribute_qual_to_rels(): We know the qual is not useful for the
	 * equivalence class machinery, because it's derived from a clause that
	 * wasn't either.
	 */
	new_rinfo = make_restrictinfo((Expr *) new_clause,
								  old_rinfo->is_pushed_down,
								  old_rinfo->outerjoin_delayed,
								  old_rinfo->pseudoconstant,
								  old_rinfo->security_level,
								  new_qualscope,
								  old_rinfo->outer_relids,
								  old_rinfo->nullable_relids);
	check_mergejoinable(new_rinfo);
	check_hashjoinable(new_rinfo);

	/*
	 * If it's a join clause (either naturally, or because delayed by
	 * outer-join rules), add vars used in the clause to targetlists of their
	 * relations, so that they will be emitted by the plan nodes that scan
	 * those relations (else they won't be available at the join node!).
	 */
	if (bms_membership(new_qualscope) == BMS_MULTIPLE)
	{
		List	   *vars = pull_var_clause(new_clause,
										   PVC_RECURSE_AGGREGATES |
										   PVC_INCLUDE_PLACEHOLDERS);

		add_vars_to_targetlist(root, vars, new_qualscope, false);
		list_free(vars);
	}

	/*
	 * If the clause has a mergejoinable operator, set the EquivalenceClass
	 * links. Otherwise, a mergejoinable operator with NULL left_ec/right_ec
	 * will cause update_mergeclause_eclasses fails at assertion.
	 */
	if (new_rinfo->mergeopfamilies)
		initialize_mergeclause_eclasses(root, new_rinfo);

	distribute_restrictinfo_to_rels(root, new_rinfo);
}

/**
 * Generate all qualifications that are implied by the given RestrictInfo and
 * the equivalence classes.

 * Input:
 * - root: planner info structure
 * - rinfo: clause to derive more quals from.
 */
static void
gen_implied_quals(PlannerInfo *root, RestrictInfo *rinfo)
{
	Expr	   *clause = rinfo->clause;
	Oid			opno,
				collation,
				item1_type,
				item2_type;
	Expr	   *item1;
	Expr	   *item2;
	ListCell   *lcec;

	/* No inferences may be performed across an outer join */
	Assert(rinfo->outer_relids == NULL);

	if (rinfo->pseudoconstant)
		return;
	if (contain_volatile_functions((Node *) clause) ||
		contain_subplans((Node *) clause))
		return;

	if (is_opclause(clause))
	{
		if (list_length(((OpExpr *) clause)->args) != 2)
			return;
		opno = ((OpExpr *) clause)->opno;
		collation = ((OpExpr *) clause)->inputcollid;
		item1 = (Expr *) get_leftop(clause);
		item2 = (Expr *) get_rightop(clause);
	}
	else if (clause && IsA(clause, ScalarArrayOpExpr))
	{
		if (list_length(((ScalarArrayOpExpr *) clause)->args) != 2)
			return;
		opno = ((ScalarArrayOpExpr *) clause)->opno;
		collation = ((ScalarArrayOpExpr *) clause)->inputcollid;
		item1 = (Expr *) get_leftscalararrayop(clause);
		item2 = (Expr *) get_rightscalararrayop(clause);
	}
	else
		return;

	item1 = canonicalize_ec_expression(item1,
									   exprType((Node *) item1),
									   collation);
	item2 = canonicalize_ec_expression(item2,
									   exprType((Node *) item2),
									   collation);
	op_input_types(opno, &item1_type, &item2_type);

	/*
	 * Find every equivalence class that's relevant for this RestrictInfo.
	 *
	 * Relevant means that some member of the equivalence class appears in the
	 * clause, that we can replace it with another member.
	 */
	foreach(lcec, root->eq_classes)
	{
		EquivalenceClass *eclass = (EquivalenceClass *) lfirst(lcec);
		ListCell   *lcem1;

		/*
		 * Only generate derived clauses using operators from the same operator
		 * family.
		 */
		if (!op_in_eclass_opfamily(opno, eclass))
			continue;

		/* Single-member ECs won't generate any deductions */
		if (list_length(eclass->ec_members) <= 1)
			continue;

		if (!bms_overlap(eclass->ec_relids, rinfo->clause_relids))
			continue;

		foreach(lcem1, eclass->ec_members)
		{
			EquivalenceMember *em1 = (EquivalenceMember *) lfirst(lcem1);
			ListCell   *lcem2;

			if (!bms_overlap(em1->em_relids, rinfo->clause_relids))
				continue;

			/*
			 * Skip duplicating subplans clauses as multiple subplan node referring
			 * to the same plan node fails the assertion made by the code which adds
			 * motion to the plan
			 */
			if (contain_subplans((Node *) em1->em_expr))
				continue;

			/*
			 * Skip if this EquivalenceMember does not match neither left expr
			 * nor right expr.
			 */
			if (!((item1_type == em1->em_datatype && equal(item1, em1->em_expr)) ||
					(item2_type == em1->em_datatype && equal(item2, em1->em_expr))))
				continue;

			/* now try to apply to others in the equivalence class */
			foreach(lcem2, eclass->ec_members)
			{
				EquivalenceMember *em2 = (EquivalenceMember *) lfirst(lcem2);

				if (em2 == em1)
					continue;

				if (exprType((Node *) em1->em_expr) == exprType((Node *) em2->em_expr)
					&& exprTypmod((Node *) em1->em_expr) == exprTypmod((Node *) em2->em_expr))
				{
					/* Skip SubPlans */
					if (contain_subplans((Node *) em2->em_expr))
						continue;
					gen_implied_qual(root,
									 rinfo,
									 (Node *) em1->em_expr,
									 (Node *) em2->em_expr);
				}
			}
		}
	}
}

/* TODO:
 *
 * note that we require types to be the same.  We could try converting them
 * (introducing relabel nodes) as long as the conversion is a widening
 * conversion (clause on int4 can be applied to int2 type by widening the
 * int2 to an int4 when creating the replicated clause)
 * likewise, is varchar(10) vs varchar(50) an issue at this point?
 */
void
generate_implied_quals(PlannerInfo *root)
{
	ListCell   *lc;

	if (!gp_enable_predicate_propagation)
		return;

	foreach(lc, root->non_eq_clauses)
	{
		RestrictInfo *rinfo = (RestrictInfo *) lfirst(lc);

		gen_implied_quals(root, rinfo);

		/*
		 * NOTE: gen_implied_quals() can append more quals to the list! We
		 * will process those as well, as we iterate.
		 */
	}
}

/*
 * make_canonical_pathkey
 *	  Given the parameters for a PathKey, find any pre-existing matching
 *	  pathkey in the query's list of "canonical" pathkeys.  Make a new
 *	  entry if there's not one already.
 *
 * Note that this function must not be used until after we have completed
 * merging EquivalenceClasses.  (We don't try to enforce that here; instead,
 * equivclass.c will complain if a merge occurs after root->canon_pathkeys
 * has become nonempty.)
 */
PathKey *
make_canonical_pathkey(PlannerInfo *root,
					   EquivalenceClass *eclass, Oid opfamily,
					   int strategy, bool nulls_first)
{
	PathKey    *pk;
	ListCell   *lc;
	MemoryContext oldcontext;

	/* The passed eclass might be non-canonical, so chase up to the top */
	while (eclass->ec_merged)
		eclass = eclass->ec_merged;

	foreach(lc, root->canon_pathkeys)
	{
		pk = (PathKey *) lfirst(lc);
		if (eclass == pk->pk_eclass &&
			opfamily == pk->pk_opfamily &&
			strategy == pk->pk_strategy &&
			nulls_first == pk->pk_nulls_first)
			return pk;
	}

	/*
	 * Be sure canonical pathkeys are allocated in the main planning context.
	 * Not an issue in normal planning, but it is for GEQO.
	 */
	oldcontext = MemoryContextSwitchTo(root->planner_cxt);

	pk = makeNode(PathKey);
	pk->pk_eclass = eclass;
	pk->pk_opfamily = opfamily;
	pk->pk_strategy = strategy;
	pk->pk_nulls_first = nulls_first;

	root->canon_pathkeys = lappend(root->canon_pathkeys, pk);

	MemoryContextSwitchTo(oldcontext);

	return pk;
}

/*
 * pathkey_is_redundant
 *	   Is a pathkey redundant with one already in the given list?
 *
 * We detect two cases:
 *
 * 1. If the new pathkey's equivalence class contains a constant, and isn't
 * below an outer join, then we can disregard it as a sort key.  An example:
 *			SELECT ... WHERE x = 42 ORDER BY x, y;
 * We may as well just sort by y.  Note that because of opfamily matching,
 * this is semantically correct: we know that the equality constraint is one
 * that actually binds the variable to a single value in the terms of any
 * ordering operator that might go with the eclass.  This rule not only lets
 * us simplify (or even skip) explicit sorts, but also allows matching index
 * sort orders to a query when there are don't-care index columns.
 *
 * 2. If the new pathkey's equivalence class is the same as that of any
 * existing member of the pathkey list, then it is redundant.  Some examples:
 *			SELECT ... ORDER BY x, x;
 *			SELECT ... ORDER BY x, x DESC;
 *			SELECT ... WHERE x = y ORDER BY x, y;
 * In all these cases the second sort key cannot distinguish values that are
 * considered equal by the first, and so there's no point in using it.
 * Note in particular that we need not compare opfamily (all the opfamilies
 * of the EC have the same notion of equality) nor sort direction.
 *
 * Both the given pathkey and the list members must be canonical for this
 * to work properly, but that's okay since we no longer ever construct any
 * non-canonical pathkeys.  (Note: the notion of a pathkey *list* being
 * canonical includes the additional requirement of no redundant entries,
 * which is exactly what we are checking for here.)
 *
 * Because the equivclass.c machinery forms only one copy of any EC per query,
 * pointer comparison is enough to decide whether canonical ECs are the same.
 */
static bool
pathkey_is_redundant(PathKey *new_pathkey, List *pathkeys)
{
	EquivalenceClass *new_ec = new_pathkey->pk_eclass;
	ListCell   *lc;

	/* Check for EC containing a constant --- unconditionally redundant */
	if (EC_MUST_BE_REDUNDANT(new_ec))
		return true;

	/* If same EC already used in list, then redundant */
	foreach(lc, pathkeys)
	{
		PathKey    *old_pathkey = (PathKey *) lfirst(lc);

		if (new_ec == old_pathkey->pk_eclass)
			return true;
	}

	return false;
}

/*
 * make_pathkey_from_sortinfo
 *	  Given an expression and sort-order information, create a PathKey.
 *	  The result is always a "canonical" PathKey, but it might be redundant.
 *
 * expr is the expression, and nullable_relids is the set of base relids
 * that are potentially nullable below it.
 *
 * If the PathKey is being generated from a SortGroupClause, sortref should be
 * the SortGroupClause's SortGroupRef; otherwise zero.
 *
 * If rel is not NULL, it identifies a specific relation we're considering
 * a path for, and indicates that child EC members for that relation can be
 * considered.  Otherwise child members are ignored.  (See the comments for
 * get_eclass_for_sort_expr.)
 *
 * create_it is true if we should create any missing EquivalenceClass
 * needed to represent the sort key.  If it's false, we return NULL if the
 * sort key isn't already present in any EquivalenceClass.
 */
static PathKey *
make_pathkey_from_sortinfo(PlannerInfo *root,
						   Expr *expr,
						   Relids nullable_relids,
						   Oid opfamily,
						   Oid opcintype,
						   Oid collation,
						   bool reverse_sort,
						   bool nulls_first,
						   Index sortref,
						   Relids rel,
						   bool create_it)
{
	int16		strategy;
	Oid			equality_op;
	List	   *opfamilies;
	EquivalenceClass *eclass;

	strategy = reverse_sort ? BTGreaterStrategyNumber : BTLessStrategyNumber;

	/*
	 * EquivalenceClasses need to contain opfamily lists based on the family
	 * membership of mergejoinable equality operators, which could belong to
	 * more than one opfamily.  So we have to look up the opfamily's equality
	 * operator and get its membership.
	 */
	equality_op = get_opfamily_member(opfamily,
									  opcintype,
									  opcintype,
									  BTEqualStrategyNumber);
	if (!OidIsValid(equality_op))	/* shouldn't happen */
		elog(ERROR, "missing operator %d(%u,%u) in opfamily %u",
			 BTEqualStrategyNumber, opcintype, opcintype, opfamily);
	opfamilies = get_mergejoin_opfamilies(equality_op);
	if (!opfamilies)			/* certainly should find some */
		elog(ERROR, "could not find opfamilies for equality operator %u",
			 equality_op);

	/* Now find or (optionally) create a matching EquivalenceClass */
	eclass = get_eclass_for_sort_expr(root, expr, nullable_relids,
									  opfamilies, opcintype, collation,
									  sortref, rel, create_it);

	/* Fail if no EC and !create_it */
	if (!eclass)
		return NULL;

	/* And finally we can find or create a PathKey node */
	return make_canonical_pathkey(root, eclass, opfamily,
								  strategy, nulls_first);
}

/*
 * make_pathkey_from_sortop
 *	  Like make_pathkey_from_sortinfo, but work from a sort operator.
 *
 * This should eventually go away, but we need to restructure SortGroupClause
 * first.
 */
PathKey *
make_pathkey_from_sortop(PlannerInfo *root,
						 Expr *expr,
						 Relids nullable_relids,
						 Oid ordering_op,
						 bool nulls_first,
						 Index sortref,
						 bool create_it)
{
	Oid			opfamily,
				opcintype,
				collation;
	int16		strategy;

	/* Find the operator in pg_amop --- failure shouldn't happen */
	if (!get_ordering_op_properties(ordering_op,
									&opfamily, &opcintype, &strategy))
		elog(ERROR, "operator %u is not a valid ordering operator",
			 ordering_op);

	/* Because SortGroupClause doesn't carry collation, consult the expr */
	collation = exprCollation((Node *) expr);

	return make_pathkey_from_sortinfo(root,
									  expr,
									  nullable_relids,
									  opfamily,
									  opcintype,
									  collation,
									  (strategy == BTGreaterStrategyNumber),
									  nulls_first,
									  sortref,
									  NULL,
									  create_it);
}


/****************************************************************************
 *		PATHKEY COMPARISONS
 ****************************************************************************/

/*
 * compare_pathkeys
 *	  Compare two pathkeys to see if they are equivalent, and if not whether
 *	  one is "better" than the other.
 *
 *	  We assume the pathkeys are canonical, and so they can be checked for
 *	  equality by simple pointer comparison.
 */
PathKeysComparison
compare_pathkeys(List *keys1, List *keys2)
{
	ListCell   *key1,
			   *key2;

	/*
	 * Fall out quickly if we are passed two identical lists.  This mostly
	 * catches the case where both are NIL, but that's common enough to
	 * warrant the test.
	 */
	if (keys1 == keys2)
		return PATHKEYS_EQUAL;

	forboth(key1, keys1, key2, keys2)
	{
		PathKey    *pathkey1 = (PathKey *) lfirst(key1);
		PathKey    *pathkey2 = (PathKey *) lfirst(key2);

		if (pathkey1 != pathkey2)
			return PATHKEYS_DIFFERENT;	/* no need to keep looking */
	}

	/*
	 * If we reached the end of only one list, the other is longer and
	 * therefore not a subset.
	 */
	if (key1 != NULL)
		return PATHKEYS_BETTER1;	/* key1 is longer */
	if (key2 != NULL)
		return PATHKEYS_BETTER2;	/* key2 is longer */
	return PATHKEYS_EQUAL;
}

/*
 * pathkeys_contained_in
 *	  Common special case of compare_pathkeys: we just want to know
 *	  if keys2 are at least as well sorted as keys1.
 */
bool
pathkeys_contained_in(List *keys1, List *keys2)
{
	switch (compare_pathkeys(keys1, keys2))
	{
		case PATHKEYS_EQUAL:
		case PATHKEYS_BETTER2:
			return true;
		default:
			break;
	}
	return false;
}

/*
 * get_cheapest_path_for_pathkeys
 *	  Find the cheapest path (according to the specified criterion) that
 *	  satisfies the given pathkeys and parameterization.
 *	  Return NULL if no such path.
 *
 * 'paths' is a list of possible paths that all generate the same relation
 * 'pathkeys' represents a required ordering (in canonical form!)
 * 'required_outer' denotes allowable outer relations for parameterized paths
 * 'cost_criterion' is STARTUP_COST or TOTAL_COST
 * 'require_parallel_safe' causes us to consider only parallel-safe paths
 */
Path *
get_cheapest_path_for_pathkeys(List *paths, List *pathkeys,
							   Relids required_outer,
							   CostSelector cost_criterion,
							   bool require_parallel_safe)
{
	Path	   *matched_path = NULL;
	ListCell   *l;

	foreach(l, paths)
	{
		Path	   *path = (Path *) lfirst(l);

		/*
		 * Since cost comparison is a lot cheaper than pathkey comparison, do
		 * that first.  (XXX is that still true?)
		 */
		if (matched_path != NULL &&
			compare_path_costs(matched_path, path, cost_criterion) <= 0)
			continue;

		if (require_parallel_safe && !path->parallel_safe)
			continue;

		if (pathkeys_contained_in(pathkeys, path->pathkeys) &&
			bms_is_subset(PATH_REQ_OUTER(path), required_outer))
			matched_path = path;
	}
	return matched_path;
}

/*
 * get_cheapest_fractional_path_for_pathkeys
 *	  Find the cheapest path (for retrieving a specified fraction of all
 *	  the tuples) that satisfies the given pathkeys and parameterization.
 *	  Return NULL if no such path.
 *
 * See compare_fractional_path_costs() for the interpretation of the fraction
 * parameter.
 *
 * 'paths' is a list of possible paths that all generate the same relation
 * 'pathkeys' represents a required ordering (in canonical form!)
 * 'required_outer' denotes allowable outer relations for parameterized paths
 * 'fraction' is the fraction of the total tuples expected to be retrieved
 */
Path *
get_cheapest_fractional_path_for_pathkeys(List *paths,
										  List *pathkeys,
										  Relids required_outer,
										  double fraction)
{
	Path	   *matched_path = NULL;
	ListCell   *l;

	foreach(l, paths)
	{
		Path	   *path = (Path *) lfirst(l);

		/*
		 * Since cost comparison is a lot cheaper than pathkey comparison, do
		 * that first.  (XXX is that still true?)
		 */
		if (matched_path != NULL &&
			compare_fractional_path_costs(matched_path, path, fraction) <= 0)
			continue;

		if (pathkeys_contained_in(pathkeys, path->pathkeys) &&
			bms_is_subset(PATH_REQ_OUTER(path), required_outer))
			matched_path = path;
	}
	return matched_path;
}


/*
 * get_cheapest_parallel_safe_total_inner
 *	  Find the unparameterized parallel-safe path with the least total cost.
 */
Path *
get_cheapest_parallel_safe_total_inner(List *paths)
{
	ListCell   *l;

	foreach(l, paths)
	{
		Path	   *innerpath = (Path *) lfirst(l);

		if (innerpath->parallel_safe &&
			bms_is_empty(PATH_REQ_OUTER(innerpath)))
			return innerpath;
	}

	return NULL;
}

/****************************************************************************
 *		NEW PATHKEY FORMATION
 ****************************************************************************/

/*
 * build_index_pathkeys
 *	  Build a pathkeys list that describes the ordering induced by an index
 *	  scan using the given index.  (Note that an unordered index doesn't
 *	  induce any ordering, so we return NIL.)
 *
 * If 'scandir' is BackwardScanDirection, build pathkeys representing a
 * backwards scan of the index.
 *
 * We iterate only key columns of covering indexes, since non-key columns
 * don't influence index ordering.  The result is canonical, meaning that
 * redundant pathkeys are removed; it may therefore have fewer entries than
 * there are key columns in the index.
 *
 * Another reason for stopping early is that we may be able to tell that
 * an index column's sort order is uninteresting for this query.  However,
 * that test is just based on the existence of an EquivalenceClass and not
 * on position in pathkey lists, so it's not complete.  Caller should call
 * truncate_useless_pathkeys() to possibly remove more pathkeys.
 */
List *
build_index_pathkeys(PlannerInfo *root,
					 IndexOptInfo *index,
					 ScanDirection scandir)
{
	List	   *retval = NIL;
	ListCell   *lc;
	int			i;

	if (index->sortopfamily == NULL)
		return NIL;				/* non-orderable index */

	i = 0;
	foreach(lc, index->indextlist)
	{
		TargetEntry *indextle = (TargetEntry *) lfirst(lc);
		Expr	   *indexkey;
		bool		reverse_sort;
		bool		nulls_first;
		PathKey    *cpathkey;

		/*
		 * INCLUDE columns are stored in index unordered, so they don't
		 * support ordered index scan.
		 */
		if (i >= index->nkeycolumns)
			break;

		/* We assume we don't need to make a copy of the tlist item */
		indexkey = indextle->expr;

		if (ScanDirectionIsBackward(scandir))
		{
			reverse_sort = !index->reverse_sort[i];
			nulls_first = !index->nulls_first[i];
		}
		else
		{
			reverse_sort = index->reverse_sort[i];
			nulls_first = index->nulls_first[i];
		}

		/*
		 * OK, try to make a canonical pathkey for this sort key.  Note we're
		 * underneath any outer joins, so nullable_relids should be NULL.
		 */
		cpathkey = make_pathkey_from_sortinfo(root,
											  indexkey,
											  NULL,
											  index->sortopfamily[i],
											  index->opcintype[i],
											  index->indexcollations[i],
											  reverse_sort,
											  nulls_first,
											  0,
											  index->rel->relids,
											  false);

		if (cpathkey)
		{
			/*
			 * We found the sort key in an EquivalenceClass, so it's relevant
			 * for this query.  Add it to list, unless it's redundant.
			 */
			if (!pathkey_is_redundant(cpathkey, retval))
				retval = lappend(retval, cpathkey);
		}
		else
		{
			/*
			 * Boolean index keys might be redundant even if they do not
			 * appear in an EquivalenceClass, because of our special treatment
			 * of boolean equality conditions --- see the comment for
			 * indexcol_is_bool_constant_for_query().  If that applies, we can
			 * continue to examine lower-order index columns.  Otherwise, the
			 * sort key is not an interesting sort order for this query, so we
			 * should stop considering index columns; any lower-order sort
			 * keys won't be useful either.
			 */
			if (!indexcol_is_bool_constant_for_query(index, i))
				break;
		}

		i++;
	}

	return retval;
}

/*
 * partkey_is_bool_constant_for_query
 *
 * If a partition key column is constrained to have a constant value by the
 * query's WHERE conditions, then it's irrelevant for sort-order
 * considerations.  Usually that means we have a restriction clause
 * WHERE partkeycol = constant, which gets turned into an EquivalenceClass
 * containing a constant, which is recognized as redundant by
 * build_partition_pathkeys().  But if the partition key column is a
 * boolean variable (or expression), then we are not going to see such a
 * WHERE clause, because expression preprocessing will have simplified it
 * to "WHERE partkeycol" or "WHERE NOT partkeycol".  So we are not going
 * to have a matching EquivalenceClass (unless the query also contains
 * "ORDER BY partkeycol").  To allow such cases to work the same as they would
 * for non-boolean values, this function is provided to detect whether the
 * specified partition key column matches a boolean restriction clause.
 */
static bool
partkey_is_bool_constant_for_query(RelOptInfo *partrel, int partkeycol)
{
	PartitionScheme partscheme = partrel->part_scheme;
	ListCell   *lc;

	/* If the partkey isn't boolean, we can't possibly get a match */
	if (!IsBooleanOpfamily(partscheme->partopfamily[partkeycol]))
		return false;

	/* Check each restriction clause for the partitioned rel */
	foreach(lc, partrel->baserestrictinfo)
	{
		RestrictInfo *rinfo = (RestrictInfo *) lfirst(lc);

		/* Ignore pseudoconstant quals, they won't match */
		if (rinfo->pseudoconstant)
			continue;

		/* See if we can match the clause's expression to the partkey column */
		if (matches_boolean_partition_clause(rinfo, partrel, partkeycol))
			return true;
	}

	return false;
}

/*
 * matches_boolean_partition_clause
 *		Determine if the boolean clause described by rinfo matches
 *		partrel's partkeycol-th partition key column.
 *
 * "Matches" can be either an exact match (equivalent to partkey = true),
 * or a NOT above an exact match (equivalent to partkey = false).
 */
static bool
matches_boolean_partition_clause(RestrictInfo *rinfo,
								 RelOptInfo *partrel, int partkeycol)
{
	Node	   *clause = (Node *) rinfo->clause;
	Node	   *partexpr = (Node *) linitial(partrel->partexprs[partkeycol]);

	/* Direct match? */
	if (equal(partexpr, clause))
		return true;
	/* NOT clause? */
	else if (is_notclause(clause))
	{
		Node	   *arg = (Node *) get_notclausearg((Expr *) clause);

		if (equal(partexpr, arg))
			return true;
	}

	return false;
}

/*
 * build_partition_pathkeys
 *	  Build a pathkeys list that describes the ordering induced by the
 *	  partitions of partrel, under either forward or backward scan
 *	  as per scandir.
 *
 * Caller must have checked that the partitions are properly ordered,
 * as detected by partitions_are_ordered().
 *
 * Sets *partialkeys to true if pathkeys were only built for a prefix of the
 * partition key, or false if the pathkeys include all columns of the
 * partition key.
 */
List *
build_partition_pathkeys(PlannerInfo *root, RelOptInfo *partrel,
						 ScanDirection scandir, bool *partialkeys)
{
	List	   *retval = NIL;
	PartitionScheme partscheme = partrel->part_scheme;
	int			i;

	Assert(partscheme != NULL);
	Assert(partitions_are_ordered(partrel->boundinfo, partrel->nparts));
	/* For now, we can only cope with baserels */
	Assert(IS_SIMPLE_REL(partrel));

	for (i = 0; i < partscheme->partnatts; i++)
	{
		PathKey    *cpathkey;
		Expr	   *keyCol = (Expr *) linitial(partrel->partexprs[i]);

		/*
		 * Try to make a canonical pathkey for this partkey.
		 *
		 * We're considering a baserel scan, so nullable_relids should be
		 * NULL.  Also, we assume the PartitionDesc lists any NULL partition
		 * last, so we treat the scan like a NULLS LAST index: we have
		 * nulls_first for backwards scan only.
		 */
		cpathkey = make_pathkey_from_sortinfo(root,
											  keyCol,
											  NULL,
											  partscheme->partopfamily[i],
											  partscheme->partopcintype[i],
											  partscheme->partcollation[i],
											  ScanDirectionIsBackward(scandir),
											  ScanDirectionIsBackward(scandir),
											  0,
											  partrel->relids,
											  false);


		if (cpathkey)
		{
			/*
			 * We found the sort key in an EquivalenceClass, so it's relevant
			 * for this query.  Add it to list, unless it's redundant.
			 */
			if (!pathkey_is_redundant(cpathkey, retval))
				retval = lappend(retval, cpathkey);
		}
		else
		{
			/*
			 * Boolean partition keys might be redundant even if they do not
			 * appear in an EquivalenceClass, because of our special treatment
			 * of boolean equality conditions --- see the comment for
			 * partkey_is_bool_constant_for_query().  If that applies, we can
			 * continue to examine lower-order partition keys.  Otherwise, the
			 * sort key is not an interesting sort order for this query, so we
			 * should stop considering partition columns; any lower-order sort
			 * keys won't be useful either.
			 */
			if (!partkey_is_bool_constant_for_query(partrel, i))
			{
				*partialkeys = true;
				return retval;
			}
		}
	}

	*partialkeys = false;
	return retval;
}

/*
 * build_expression_pathkey
 *	  Build a pathkeys list that describes an ordering by a single expression
 *	  using the given sort operator.
 *
 * expr, nullable_relids, and rel are as for make_pathkey_from_sortinfo.
 * We induce the other arguments assuming default sort order for the operator.
 *
 * Similarly to make_pathkey_from_sortinfo, the result is NIL if create_it
 * is false and the expression isn't already in some EquivalenceClass.
 */
List *
build_expression_pathkey(PlannerInfo *root,
						 Expr *expr,
						 Relids nullable_relids,
						 Oid opno,
						 Relids rel,
						 bool create_it)
{
	List	   *pathkeys;
	Oid			opfamily,
				opcintype;
	int16		strategy;
	PathKey    *cpathkey;

	/* Find the operator in pg_amop --- failure shouldn't happen */
	if (!get_ordering_op_properties(opno,
									&opfamily, &opcintype, &strategy))
		elog(ERROR, "operator %u is not a valid ordering operator",
			 opno);

	cpathkey = make_pathkey_from_sortinfo(root,
										  expr,
										  nullable_relids,
										  opfamily,
										  opcintype,
										  exprCollation((Node *) expr),
										  (strategy == BTGreaterStrategyNumber),
										  (strategy == BTGreaterStrategyNumber),
										  0,
										  rel,
										  create_it);

	if (cpathkey)
		pathkeys = list_make1(cpathkey);
	else
		pathkeys = NIL;

	return pathkeys;
}

/*
 * convert_subquery_pathkeys
 *	  Build a pathkeys list that describes the ordering of a subquery's
 *	  result, in the terms of the outer query.  This is essentially a
 *	  task of conversion.
 *
 * 'rel': outer query's RelOptInfo for the subquery relation.
 * 'subquery_pathkeys': the subquery's output pathkeys, in its terms.
 * 'subquery_tlist': the subquery's output targetlist, in its terms.
 *
 * We intentionally don't do truncate_useless_pathkeys() here, because there
 * are situations where seeing the raw ordering of the subquery is helpful.
 * For example, if it returns ORDER BY x DESC, that may prompt us to
 * construct a mergejoin using DESC order rather than ASC order; but the
 * right_merge_direction heuristic would have us throw the knowledge away.
 */
List *
convert_subquery_pathkeys(PlannerInfo *root, RelOptInfo *rel,
						  List *subquery_pathkeys,
						  List *subquery_tlist)
{
	List	   *retval = NIL;
	int			retvallen = 0;
	int			outer_query_keys = list_length(root->query_pathkeys);
	ListCell   *i;

	foreach(i, subquery_pathkeys)
	{
		PathKey    *sub_pathkey = (PathKey *) lfirst(i);
		EquivalenceClass *sub_eclass = sub_pathkey->pk_eclass;
		PathKey    *best_pathkey = NULL;

		if (sub_eclass->ec_has_volatile)
		{
			/*
			 * If the sub_pathkey's EquivalenceClass is volatile, then it must
			 * have come from an ORDER BY clause, and we have to match it to
			 * that same targetlist entry.
			 */
			TargetEntry *tle;
			Var		   *outer_var;

			if (sub_eclass->ec_sortref == 0)	/* can't happen */
				elog(ERROR, "volatile EquivalenceClass has no sortref");
			tle = get_sortgroupref_tle(sub_eclass->ec_sortref, subquery_tlist);
			Assert(tle);
			/* Is TLE actually available to the outer query? */
			outer_var = find_var_for_subquery_tle(rel, tle);
			if (outer_var)
			{
				/* We can represent this sub_pathkey */
				EquivalenceMember *sub_member;
				EquivalenceClass *outer_ec;

				Assert(list_length(sub_eclass->ec_members) == 1);
				sub_member = (EquivalenceMember *) linitial(sub_eclass->ec_members);

				/*
				 * Note: it might look funny to be setting sortref = 0 for a
				 * reference to a volatile sub_eclass.  However, the
				 * expression is *not* volatile in the outer query: it's just
				 * a Var referencing whatever the subquery emitted. (IOW, the
				 * outer query isn't going to re-execute the volatile
				 * expression itself.)	So this is okay.  Likewise, it's
				 * correct to pass nullable_relids = NULL, because we're
				 * underneath any outer joins appearing in the outer query.
				 */
				outer_ec =
					get_eclass_for_sort_expr(root,
											 (Expr *) outer_var,
											 NULL,
											 sub_eclass->ec_opfamilies,
											 sub_member->em_datatype,
											 sub_eclass->ec_collation,
											 0,
											 rel->relids,
											 false);

				/*
				 * If we don't find a matching EC, sub-pathkey isn't
				 * interesting to the outer query
				 */
				if (outer_ec)
					best_pathkey =
						make_canonical_pathkey(root,
											   outer_ec,
											   sub_pathkey->pk_opfamily,
											   sub_pathkey->pk_strategy,
											   sub_pathkey->pk_nulls_first);
			}
		}
		else
		{
			/*
			 * Otherwise, the sub_pathkey's EquivalenceClass could contain
			 * multiple elements (representing knowledge that multiple items
			 * are effectively equal).  Each element might match none, one, or
			 * more of the output columns that are visible to the outer query.
			 * This means we may have multiple possible representations of the
			 * sub_pathkey in the context of the outer query.  Ideally we
			 * would generate them all and put them all into an EC of the
			 * outer query, thereby propagating equality knowledge up to the
			 * outer query.  Right now we cannot do so, because the outer
			 * query's EquivalenceClasses are already frozen when this is
			 * called. Instead we prefer the one that has the highest "score"
			 * (number of EC peers, plus one if it matches the outer
			 * query_pathkeys). This is the most likely to be useful in the
			 * outer query.
			 */
			int			best_score = -1;
			ListCell   *j;

			foreach(j, sub_eclass->ec_members)
			{
				EquivalenceMember *sub_member = (EquivalenceMember *) lfirst(j);
				Expr	   *sub_expr = sub_member->em_expr;
				Oid			sub_expr_type = sub_member->em_datatype;
				Oid			sub_expr_coll = sub_eclass->ec_collation;
				ListCell   *k;

				if (sub_member->em_is_child)
					continue;	/* ignore children here */

				foreach(k, subquery_tlist)
				{
					TargetEntry *tle = (TargetEntry *) lfirst(k);
					Var		   *outer_var;
					Expr	   *tle_expr;
					EquivalenceClass *outer_ec;
					PathKey    *outer_pk;
					int			score;

					/* Is TLE actually available to the outer query? */
					outer_var = find_var_for_subquery_tle(rel, tle);
					if (!outer_var)
						continue;

					/*
					 * The targetlist entry is considered to match if it
					 * matches after sort-key canonicalization.  That is
					 * needed since the sub_expr has been through the same
					 * process.
					 */
					tle_expr = canonicalize_ec_expression(tle->expr,
														  sub_expr_type,
														  sub_expr_coll);
					if (!equal(tle_expr, sub_expr))
						continue;

					/* See if we have a matching EC for the TLE */
					outer_ec = get_eclass_for_sort_expr(root,
														(Expr *) outer_var,
														NULL,
														sub_eclass->ec_opfamilies,
														sub_expr_type,
														sub_expr_coll,
														0,
														rel->relids,
														false); /* create_it */

					/*
					 * If we don't find a matching EC, this sub-pathkey isn't
					 * interesting to the outer query
					 */
					if (!outer_ec)
						continue;

					outer_pk = make_canonical_pathkey(root,
													  outer_ec,
													  sub_pathkey->pk_opfamily,
													  sub_pathkey->pk_strategy,
													  sub_pathkey->pk_nulls_first);
					/* score = # of equivalence peers */
					score = list_length(outer_ec->ec_members) - 1;
					/* +1 if it matches the proper query_pathkeys item */
					if (retvallen < outer_query_keys &&
						list_nth(root->query_pathkeys, retvallen) == outer_pk)
						score++;
					if (score > best_score)
					{
						best_pathkey = outer_pk;
						best_score = score;
					}
				}
			}
		}

		/*
		 * If we couldn't find a representation of this sub_pathkey, we're
		 * done (we can't use the ones to its right, either).
		 */
		if (!best_pathkey)
			break;

		/*
		 * Eliminate redundant ordering info; could happen if outer query
		 * equivalences subquery keys...
		 */
		if (!pathkey_is_redundant(best_pathkey, retval))
		{
			retval = lappend(retval, best_pathkey);
			retvallen++;
		}
	}

	return retval;
}

/*
 * find_var_for_subquery_tle
 *
 * If the given subquery tlist entry is due to be emitted by the subquery's
 * scan node, return a Var for it, else return NULL.
 *
 * We need this to ensure that we don't return pathkeys describing values
 * that are unavailable above the level of the subquery scan.
 */
static Var *
find_var_for_subquery_tle(RelOptInfo *rel, TargetEntry *tle)
{
	ListCell   *lc;

	/* If the TLE is resjunk, it's certainly not visible to the outer query */
	if (tle->resjunk)
		return NULL;

	/* Search the rel's targetlist to see what it will return */
	foreach(lc, rel->reltarget->exprs)
	{
		Var		   *var = (Var *) lfirst(lc);

		/* Ignore placeholders */
		if (!IsA(var, Var))
			continue;
		Assert(var->varno == rel->relid);

		/* If we find a Var referencing this TLE, we're good */
		if (var->varattno == tle->resno)
			return copyObject(var); /* Make a copy for safety */
	}
	return NULL;
}

/*
 * build_join_pathkeys
 *	  Build the path keys for a join relation constructed by mergejoin or
 *	  nestloop join.  This is normally the same as the outer path's keys.
 *
 *	  EXCEPTION: in a FULL or RIGHT join, we cannot treat the result as
 *	  having the outer path's path keys, because null lefthand rows may be
 *	  inserted at random points.  It must be treated as unsorted.
 *
 *	  We truncate away any pathkeys that are uninteresting for higher joins.
 *
 * 'joinrel' is the join relation that paths are being formed for
 * 'jointype' is the join type (inner, left, full, etc)
 * 'outer_pathkeys' is the list of the current outer path's path keys
 *
 * Returns the list of new path keys.
 */
List *
build_join_pathkeys(PlannerInfo *root,
					RelOptInfo *joinrel,
					JoinType jointype,
					List *outer_pathkeys)
{
	if (jointype == JOIN_FULL || jointype == JOIN_RIGHT)
		return NIL;

	/*
	 * This used to be quite a complex bit of code, but now that all pathkey
	 * sublists start out life canonicalized, we don't have to do a darn thing
	 * here!
	 *
	 * We do, however, need to truncate the pathkeys list, since it may
	 * contain pathkeys that were useful for forming this joinrel but are
	 * uninteresting to higher levels.
	 */
	return truncate_useless_pathkeys(root, joinrel, outer_pathkeys);
}


/****************************************************************************
 *		PATHKEYS FOR DISTRIBUTED QUERIES
 ****************************************************************************/

/*
 * cdb_make_distkey_for_expr
 *	  Returns a DistributionKey which represents an equivalence class of
 *	  expressions that must be equal to the given expression.
 *
 *	  The 'opfamily' argument specifies a hash operator family, which
 *	  determines the hash function used. The = operator for the expression's
 *	  datatype is used to look up a compatible btree operator family, which
 *	  is recorded in the EquivalenceClass that becomes part of the
 *	  distribution key.
 */
DistributionKey *
cdb_make_distkey_for_expr(PlannerInfo *root,
						  RelOptInfo *rel,
						  Node *expr,
						  Oid opfamily /* hash opfamily */,
						  int sortref)
{
	Oid			typeoid;
	Oid			eqopoid;
	DistributionKey *dk;
	List	   *mergeopfamilies;
	EquivalenceClass *eclass;
	Oid			lefttype;
	Oid			righttype;

	Assert(OidIsValid(opfamily));

	/* Get the expr's data type. */
	typeoid = exprType(expr);

	/* If it's a domain, look at the base type instead */
	typeoid = getBaseType(typeoid);

	eqopoid = cdb_eqop_in_hash_opfamily(opfamily, typeoid);

	/*
	 * Get Oid of the sort operator that would be used for a sort-merge
	 * equijoin on a pair of exprs of the same type.
	 */
	if (!op_mergejoinable(eqopoid, typeoid))
		elog(ERROR, "could not find mergejoinable = operator for type %u", typeoid);

	mergeopfamilies = get_mergejoin_opfamilies(eqopoid);

	/*
	 * Get the equality operator's operand type. It might be different from the
	 * original datatype, if the datatype itself doesn't have an equivalence
	 * operator, but relies on casts. For example with two varchars, "a = b" uses
	 * the text equals operator, i.e. "a::text = b::text".
	 */
	op_input_types(eqopoid, &lefttype, &righttype);
	Assert(lefttype == righttype);

	/* If this type is a domain type, get its base type. */
	if (get_typtype(lefttype) == 'd')
		lefttype = getBaseType(lefttype);

	/*
	 * It should be OK to set nullable_relids = NULL, since this eclass is only
	 * used for DistributionKey, so it would not participate in qual deduction.
	 */
	eclass = get_eclass_for_sort_expr(root, (Expr *) expr,
									  NULL,
									  mergeopfamilies,
									  lefttype,
									  exprCollation(expr),
									  sortref,
									  rel->relids,
									  true);

	dk = makeNode(DistributionKey);
	dk->dk_eclasses = list_make1(eclass);
	dk->dk_opfamily = opfamily;

	return dk;
}

/*
 * cdb_pull_up_eclass
 *
 * Given an argument EquivalenceClass, finds an EquivalenceClass whose
 * expr can be projected thru a given targetlist.  If found, builds the
 * transformed key expr and returns an equivalence class containing it.
 *
 * Returns NULL if the given EC does not have any member that  can be
 * rewritten in terms of the projected output columns.
 *
 * Note that this function does not unite the pre- and post-projection
 * equivalence classes.  Equivalences known on one side of the projection
 * are not made known on the other side.  Although that might be useful,
 * it would have to be done at an earlier point in the planner.
 *
 * At present this function doesn't support pull-up from a subquery into a
 * containing query: there is no provision for adjusting the varlevelsup
 * field in Var nodes for outer references.  This could be added if needed.
 *
 * 'eclass' is an EquivalenceClass.
 * 'relids' is the set of relids that may occur in the targetlist exprs.
 * 'targetlist' specifies the projection.  It is a List of TargetEntry
 *		or merely a List of Expr.
 * 'newvarlist' is an optional List of Expr, in 1-1 correspondence with
 *		'targetlist'.  If specified, instead of creating a Var node to
 *		reference a targetlist item, we plug in a copy of the corresponding
 *		newvarlist item.
 * 'newrelid' is the RTE index of the projected result, for finding or
 *		building Var nodes that reference the projected columns.
 *		Ignored if 'newvarlist' is specified.
 *
 * NB: We ignore the presence or absence of a RelabelType node atop either
 * expr in determining whether an EC member expr matches a targetlist expr.
 */
EquivalenceClass *
cdb_pull_up_eclass(PlannerInfo *root,
				   EquivalenceClass *eclass,
				   Relids relids,
				   List *targetlist,
				   List *newvarlist,
				   Index newrelid)
{
	Expr	   *sub_distkeyexpr;
	EquivalenceClass *outer_ec;
	Expr	   *newexpr = NULL;

	Assert(eclass);
	Assert(!newvarlist ||
		   list_length(newvarlist) == list_length(targetlist));

	/* Find an expr that we can rewrite to use the projected columns. */
	sub_distkeyexpr = cdbpullup_findEclassInTargetList(eclass, targetlist, InvalidOid);

	/* Replace expr's Var nodes with new ones referencing the targetlist. */
	if (sub_distkeyexpr)
	{
		newexpr = cdbpullup_expr(sub_distkeyexpr,
								 targetlist,
								 newvarlist,
								 newrelid);
	}
	/* If not found, see if the equiv class contains a constant expr. */
	else if (CdbEquivClassIsConstant(eclass))
	{
		ListCell   *lc;

		foreach(lc, eclass->ec_members)
		{
			EquivalenceMember *em = lfirst(lc);

			if (em->em_is_const)
			{
				newexpr = (Expr *) copyObject(em->em_expr);
				break;
			}
		}
	}
	/* Fail if no usable expr. */
	else
		return NULL;

	if (!newexpr)
		elog(ERROR, "could not pull up equivalence class using projected target list");

	/*
	 * It should be OK to set nullable_relids = NULL, since this eclass is only
	 * used for DistributionKey, so it would not participate in qual deduction.
	 */
	outer_ec = get_eclass_for_sort_expr(root,
										newexpr,
										NULL,
										eclass->ec_opfamilies,
										exprType((Node *) newexpr),
										exprCollation((Node *) newexpr),
										0,
										relids,
										true);

	return outer_ec;
}



/****************************************************************************
 *		PATHKEYS AND SORT CLAUSES
 ****************************************************************************/

/*
 * make_pathkeys_for_sortclauses
 *		Generate a pathkeys list that represents the sort order specified
 *		by a list of SortGroupClauses
 *
 * The resulting PathKeys are always in canonical form.  (Actually, there
 * is no longer any code anywhere that creates non-canonical PathKeys.)
 *
 * We assume that root->nullable_baserels is the set of base relids that could
 * have gone to NULL below the SortGroupClause expressions.  This is okay if
 * the expressions came from the query's top level (ORDER BY, DISTINCT, etc)
 * and if this function is only invoked after deconstruct_jointree.  In the
 * future we might have to make callers pass in the appropriate
 * nullable-relids set, but for now it seems unnecessary.
 *
 * 'sortclauses' is a list of SortGroupClause nodes
 * 'tlist' is the targetlist to find the referenced tlist entries in
 */
List *
make_pathkeys_for_sortclauses(PlannerInfo *root,
							  List *sortclauses,
							  List *tlist)
{
	List	   *pathkeys = NIL;
	ListCell   *l;

	foreach(l, sortclauses)
	{
		SortGroupClause *sortcl = (SortGroupClause *) lfirst(l);
		Expr	   *sortkey;
		PathKey    *pathkey;

		sortkey = (Expr *) get_sortgroupclause_expr(sortcl, tlist);
		Assert(OidIsValid(sortcl->sortop));
		pathkey = make_pathkey_from_sortop(root,
										   sortkey,
										   root->nullable_baserels,
										   sortcl->sortop,
										   sortcl->nulls_first,
										   sortcl->tleSortGroupRef,
										   true);

		/* Canonical form eliminates redundant ordering keys */
		if (!pathkey_is_redundant(pathkey, pathkeys))
			pathkeys = lappend(pathkeys, pathkey);
	}
	return pathkeys;
}

/****************************************************************************
 *		DISTRIBUTION KEYS
 ****************************************************************************/

/*
 * Make a list of PathKeys, and a list of plain expressions, to represent a
 * distribution key that is suitable for implementing grouping on the given
 * grouping clause. Only expressions that are GPDB-hashable are included,
 * so the resulting lists can be shorter than 'groupclause', or even empty.
 *
 * The result is stored in *partition_dist_pathkeys and *partition_dist_exprs.
 * *partition_dist_pathkeys is set to a list of PathKeys, and
 * *partition_dist_exprs to a corresponding list of plain expressions.
 */
void
make_distribution_exprs_for_groupclause(PlannerInfo *root, List *groupclause, List *tlist,
										List **partition_dist_pathkeys,
										List **partition_dist_exprs,
										List **partition_dist_opfamilies,
										List **partition_dist_sortrefs)
{
	List	   *pathkeys = NIL;
	List	   *exprs = NIL;
	List	   *opfamilies = NIL;
	List	   *sortrefs = NIL;
	ListCell   *l;

	foreach(l, groupclause)
	{
		SortGroupClause *sortcl = (SortGroupClause *) lfirst(l);
		PathKey	   *pathkey;
		Expr	   *expr;
		Oid			opfamily;

		if (!sortcl->hashable)
			continue;

		/*
		 * If this expression is not sortable, we cannot construct a PathKey
		 * to represent it. Give up.
		 *
		 * In principle, we could still use it as distribution key, but we'd
		 * need a different representation for it. For now, though, we don't
		 * bother. A datatype without ordering operators is a rare thing in
		 * practice.
		 */
		if (sortcl->sortop == InvalidOid)
			continue;

		expr = (Expr *) get_sortgroupclause_expr(sortcl, tlist);

		pathkey = make_pathkey_from_sortop(root,
										   expr,
										   root->nullable_baserels,
										   sortcl->sortop,
										   sortcl->nulls_first,
										   sortcl->tleSortGroupRef,
										   true);

		opfamily = get_compatible_hash_opfamily(sortcl->eqop);

		pathkeys = lappend(pathkeys, pathkey);
		exprs = lappend(exprs, expr);
		opfamilies = lappend_oid(opfamilies, opfamily);
		sortrefs = lappend_int(sortrefs, sortcl->tleSortGroupRef);
	}

	*partition_dist_pathkeys = pathkeys;
	*partition_dist_exprs = exprs;
	*partition_dist_opfamilies = opfamilies;
	*partition_dist_sortrefs = sortrefs;
}

/****************************************************************************
 *		PATHKEYS AND MERGECLAUSES
 ****************************************************************************/

/*
 * initialize_mergeclause_eclasses
 *		Set the EquivalenceClass links in a mergeclause restrictinfo.
 *
 * RestrictInfo contains fields in which we may cache pointers to
 * EquivalenceClasses for the left and right inputs of the mergeclause.
 * (If the mergeclause is a true equivalence clause these will be the
 * same EquivalenceClass, otherwise not.)  If the mergeclause is either
 * used to generate an EquivalenceClass, or derived from an EquivalenceClass,
 * then it's easy to set up the left_ec and right_ec members --- otherwise,
 * this function should be called to set them up.  We will generate new
 * EquivalenceClauses if necessary to represent the mergeclause's left and
 * right sides.
 *
 * Note this is called before EC merging is complete, so the links won't
 * necessarily point to canonical ECs.  Before they are actually used for
 * anything, update_mergeclause_eclasses must be called to ensure that
 * they've been updated to point to canonical ECs.
 */
void
initialize_mergeclause_eclasses(PlannerInfo *root, RestrictInfo *restrictinfo)
{
	Expr	   *clause = restrictinfo->clause;
	Oid			lefttype,
				righttype;

	/* Should be a mergeclause ... */
	Assert(restrictinfo->mergeopfamilies != NIL);
	/* ... with links not yet set */
	Assert(restrictinfo->left_ec == NULL);
	Assert(restrictinfo->right_ec == NULL);

	/* Need the declared input types of the operator */
	op_input_types(((OpExpr *) clause)->opno, &lefttype, &righttype);

	/* Find or create a matching EquivalenceClass for each side */
	restrictinfo->left_ec =
		get_eclass_for_sort_expr(root,
								 (Expr *) get_leftop(clause),
								 restrictinfo->nullable_relids,
								 restrictinfo->mergeopfamilies,
								 lefttype,
								 ((OpExpr *) clause)->inputcollid,
								 0,
								 NULL,
								 true);
	restrictinfo->right_ec =
		get_eclass_for_sort_expr(root,
								 (Expr *) get_rightop(clause),
								 restrictinfo->nullable_relids,
								 restrictinfo->mergeopfamilies,
								 righttype,
								 ((OpExpr *) clause)->inputcollid,
								 0,
								 NULL,
								 true);
}

/*
 * update_mergeclause_eclasses
 *		Make the cached EquivalenceClass links valid in a mergeclause
 *		restrictinfo.
 *
 * These pointers should have been set by process_equivalence or
 * initialize_mergeclause_eclasses, but they might have been set to
 * non-canonical ECs that got merged later.  Chase up to the canonical
 * merged parent if so.
 */
void
update_mergeclause_eclasses(PlannerInfo *root, RestrictInfo *restrictinfo)
{
	/* Should be a merge clause ... */
	Assert(restrictinfo->mergeopfamilies != NIL);
	/* ... with pointers already set */
	Assert(restrictinfo->left_ec != NULL);
	Assert(restrictinfo->right_ec != NULL);

	/* Chase up to the top as needed */
	while (restrictinfo->left_ec->ec_merged)
		restrictinfo->left_ec = restrictinfo->left_ec->ec_merged;
	while (restrictinfo->right_ec->ec_merged)
		restrictinfo->right_ec = restrictinfo->right_ec->ec_merged;
}

/*
 * find_mergeclauses_for_outer_pathkeys
 *	  This routine attempts to find a list of mergeclauses that can be
 *	  used with a specified ordering for the join's outer relation.
 *	  If successful, it returns a list of mergeclauses.
 *
 * 'pathkeys' is a pathkeys list showing the ordering of an outer-rel path.
 * 'restrictinfos' is a list of mergejoinable restriction clauses for the
 *			join relation being formed, in no particular order.
 *
 * The restrictinfos must be marked (via outer_is_left) to show which side
 * of each clause is associated with the current outer path.  (See
 * select_mergejoin_clauses())
 *
 * The result is NIL if no merge can be done, else a maximal list of
 * usable mergeclauses (represented as a list of their restrictinfo nodes).
 * The list is ordered to match the pathkeys, as required for execution.
 */
List *
find_mergeclauses_for_outer_pathkeys(PlannerInfo *root,
									 List *pathkeys,
									 List *restrictinfos)
{
	List	   *mergeclauses = NIL;
	ListCell   *i;

	/* make sure we have eclasses cached in the clauses */
	foreach(i, restrictinfos)
	{
		RestrictInfo *rinfo = (RestrictInfo *) lfirst(i);

		update_mergeclause_eclasses(root, rinfo);
	}

	foreach(i, pathkeys)
	{
		PathKey    *pathkey = (PathKey *) lfirst(i);
		EquivalenceClass *pathkey_ec = pathkey->pk_eclass;
		List	   *matched_restrictinfos = NIL;
		ListCell   *j;

		/*----------
		 * A mergejoin clause matches a pathkey if it has the same EC.
		 * If there are multiple matching clauses, take them all.  In plain
		 * inner-join scenarios we expect only one match, because
		 * equivalence-class processing will have removed any redundant
		 * mergeclauses.  However, in outer-join scenarios there might be
		 * multiple matches.  An example is
		 *
		 *	select * from a full join b
		 *		on a.v1 = b.v1 and a.v2 = b.v2 and a.v1 = b.v2;
		 *
		 * Given the pathkeys ({a.v1}, {a.v2}) it is okay to return all three
		 * clauses (in the order a.v1=b.v1, a.v1=b.v2, a.v2=b.v2) and indeed
		 * we *must* do so or we will be unable to form a valid plan.
		 *
		 * We expect that the given pathkeys list is canonical, which means
		 * no two members have the same EC, so it's not possible for this
		 * code to enter the same mergeclause into the result list twice.
		 *
		 * It's possible that multiple matching clauses might have different
		 * ECs on the other side, in which case the order we put them into our
		 * result makes a difference in the pathkeys required for the inner
		 * input rel.  However this routine hasn't got any info about which
		 * order would be best, so we don't worry about that.
		 *
		 * It's also possible that the selected mergejoin clauses produce
		 * a noncanonical ordering of pathkeys for the inner side, ie, we
		 * might select clauses that reference b.v1, b.v2, b.v1 in that
		 * order.  This is not harmful in itself, though it suggests that
		 * the clauses are partially redundant.  Since the alternative is
		 * to omit mergejoin clauses and thereby possibly fail to generate a
		 * plan altogether, we live with it.  make_inner_pathkeys_for_merge()
		 * has to delete duplicates when it constructs the inner pathkeys
		 * list, and we also have to deal with such cases specially in
		 * create_mergejoin_plan().
		 *----------
		 */
		foreach(j, restrictinfos)
		{
			RestrictInfo *rinfo = (RestrictInfo *) lfirst(j);
			EquivalenceClass *clause_ec;

			clause_ec = rinfo->outer_is_left ?
				rinfo->left_ec : rinfo->right_ec;
			if (clause_ec == pathkey_ec)
				matched_restrictinfos = lappend(matched_restrictinfos, rinfo);
		}

		/*
		 * If we didn't find a mergeclause, we're done --- any additional
		 * sort-key positions in the pathkeys are useless.  (But we can still
		 * mergejoin if we found at least one mergeclause.)
		 */
		if (matched_restrictinfos == NIL)
			break;

		/*
		 * If we did find usable mergeclause(s) for this sort-key position,
		 * add them to result list.
		 */
		mergeclauses = list_concat(mergeclauses, matched_restrictinfos);
	}

	return mergeclauses;
}

/*
 * select_outer_pathkeys_for_merge
 *	  Builds a pathkey list representing a possible sort ordering
 *	  that can be used with the given mergeclauses.
 *
 * 'mergeclauses' is a list of RestrictInfos for mergejoin clauses
 *			that will be used in a merge join.
 * 'joinrel' is the join relation we are trying to construct.
 *
 * The restrictinfos must be marked (via outer_is_left) to show which side
 * of each clause is associated with the current outer path.  (See
 * select_mergejoin_clauses())
 *
 * Returns a pathkeys list that can be applied to the outer relation.
 *
 * Since we assume here that a sort is required, there is no particular use
 * in matching any available ordering of the outerrel.  (joinpath.c has an
 * entirely separate code path for considering sort-free mergejoins.)  Rather,
 * it's interesting to try to match the requested query_pathkeys so that a
 * second output sort may be avoided; and failing that, we try to list "more
 * popular" keys (those with the most unmatched EquivalenceClass peers)
 * earlier, in hopes of making the resulting ordering useful for as many
 * higher-level mergejoins as possible.
 */
List *
select_outer_pathkeys_for_merge(PlannerInfo *root,
								List *mergeclauses,
								RelOptInfo *joinrel)
{
	List	   *pathkeys = NIL;
	int			nClauses = list_length(mergeclauses);
	EquivalenceClass **ecs;
	int		   *scores;
	int			necs;
	ListCell   *lc;
	int			j;

	/* Might have no mergeclauses */
	if (nClauses == 0)
		return NIL;

	/*
	 * Make arrays of the ECs used by the mergeclauses (dropping any
	 * duplicates) and their "popularity" scores.
	 */
	ecs = (EquivalenceClass **) palloc(nClauses * sizeof(EquivalenceClass *));
	scores = (int *) palloc(nClauses * sizeof(int));
	necs = 0;

	foreach(lc, mergeclauses)
	{
		RestrictInfo *rinfo = (RestrictInfo *) lfirst(lc);
		EquivalenceClass *oeclass;
		int			score;
		ListCell   *lc2;

		/* get the outer eclass */
		update_mergeclause_eclasses(root, rinfo);

		if (rinfo->outer_is_left)
			oeclass = rinfo->left_ec;
		else
			oeclass = rinfo->right_ec;

		/* reject duplicates */
		for (j = 0; j < necs; j++)
		{
			if (ecs[j] == oeclass)
				break;
		}
		if (j < necs)
			continue;

		/* compute score */
		score = 0;
		foreach(lc2, oeclass->ec_members)
		{
			EquivalenceMember *em = (EquivalenceMember *) lfirst(lc2);

			/* Potential future join partner? */
			if (!em->em_is_const && !em->em_is_child &&
				!bms_overlap(em->em_relids, joinrel->relids))
				score++;
		}

		ecs[necs] = oeclass;
		scores[necs] = score;
		necs++;
	}

	/*
	 * Find out if we have all the ECs mentioned in query_pathkeys; if so we
	 * can generate a sort order that's also useful for final output. There is
	 * no percentage in a partial match, though, so we have to have 'em all.
	 */
	if (root->query_pathkeys)
	{
		foreach(lc, root->query_pathkeys)
		{
			PathKey    *query_pathkey = (PathKey *) lfirst(lc);
			EquivalenceClass *query_ec = query_pathkey->pk_eclass;

			for (j = 0; j < necs; j++)
			{
				if (ecs[j] == query_ec)
					break;		/* found match */
			}
			if (j >= necs)
				break;			/* didn't find match */
		}
		/* if we got to the end of the list, we have them all */
		if (lc == NULL)
		{
			/* copy query_pathkeys as starting point for our output */
			pathkeys = list_copy(root->query_pathkeys);
			/* mark their ECs as already-emitted */
			foreach(lc, root->query_pathkeys)
			{
				PathKey    *query_pathkey = (PathKey *) lfirst(lc);
				EquivalenceClass *query_ec = query_pathkey->pk_eclass;

				for (j = 0; j < necs; j++)
				{
					if (ecs[j] == query_ec)
					{
						scores[j] = -1;
						break;
					}
				}
			}
		}
	}

	/*
	 * Add remaining ECs to the list in popularity order, using a default sort
	 * ordering.  (We could use qsort() here, but the list length is usually
	 * so small it's not worth it.)
	 */
	for (;;)
	{
		int			best_j;
		int			best_score;
		EquivalenceClass *ec;
		PathKey    *pathkey;

		best_j = 0;
		best_score = scores[0];
		for (j = 1; j < necs; j++)
		{
			if (scores[j] > best_score)
			{
				best_j = j;
				best_score = scores[j];
			}
		}
		if (best_score < 0)
			break;				/* all done */
		ec = ecs[best_j];
		scores[best_j] = -1;
		pathkey = make_canonical_pathkey(root,
										 ec,
										 linitial_oid(ec->ec_opfamilies),
										 BTLessStrategyNumber,
										 false);
		/* can't be redundant because no duplicate ECs */
		Assert(!pathkey_is_redundant(pathkey, pathkeys));
		pathkeys = lappend(pathkeys, pathkey);
	}

	pfree(ecs);
	pfree(scores);

	return pathkeys;
}

/*
 * make_inner_pathkeys_for_merge
 *	  Builds a pathkey list representing the explicit sort order that
 *	  must be applied to an inner path to make it usable with the
 *	  given mergeclauses.
 *
 * 'mergeclauses' is a list of RestrictInfos for the mergejoin clauses
 *			that will be used in a merge join, in order.
 * 'outer_pathkeys' are the already-known canonical pathkeys for the outer
 *			side of the join.
 *
 * The restrictinfos must be marked (via outer_is_left) to show which side
 * of each clause is associated with the current outer path.  (See
 * select_mergejoin_clauses())
 *
 * Returns a pathkeys list that can be applied to the inner relation.
 *
 * Note that it is not this routine's job to decide whether sorting is
 * actually needed for a particular input path.  Assume a sort is necessary;
 * just make the keys, eh?
 */
List *
make_inner_pathkeys_for_merge(PlannerInfo *root,
							  List *mergeclauses,
							  List *outer_pathkeys)
{
	List	   *pathkeys = NIL;
	EquivalenceClass *lastoeclass;
	PathKey    *opathkey;
	ListCell   *lc;
	ListCell   *lop;

	lastoeclass = NULL;
	opathkey = NULL;
	lop = list_head(outer_pathkeys);

	foreach(lc, mergeclauses)
	{
		RestrictInfo *rinfo = (RestrictInfo *) lfirst(lc);
		EquivalenceClass *oeclass;
		EquivalenceClass *ieclass;
		PathKey    *pathkey;

		update_mergeclause_eclasses(root, rinfo);

		if (rinfo->outer_is_left)
		{
			oeclass = rinfo->left_ec;
			ieclass = rinfo->right_ec;
		}
		else
		{
			oeclass = rinfo->right_ec;
			ieclass = rinfo->left_ec;
		}

		/* outer eclass should match current or next pathkeys */
		/* we check this carefully for debugging reasons */
		if (oeclass != lastoeclass)
		{
			if (!lop)
				elog(ERROR, "too few pathkeys for mergeclauses");
			opathkey = (PathKey *) lfirst(lop);
			lop = lnext(lop);
			lastoeclass = opathkey->pk_eclass;
			if (oeclass != lastoeclass)
				elog(ERROR, "outer pathkeys do not match mergeclause");
		}

		/*
		 * Often, we'll have same EC on both sides, in which case the outer
		 * pathkey is also canonical for the inner side, and we can skip a
		 * useless search.
		 */
		if (ieclass == oeclass)
			pathkey = opathkey;
		else
			pathkey = make_canonical_pathkey(root,
											 ieclass,
											 opathkey->pk_opfamily,
											 opathkey->pk_strategy,
											 opathkey->pk_nulls_first);

		/*
		 * Don't generate redundant pathkeys (which can happen if multiple
		 * mergeclauses refer to the same EC).  Because we do this, the output
		 * pathkey list isn't necessarily ordered like the mergeclauses, which
		 * complicates life for create_mergejoin_plan().  But if we didn't,
		 * we'd have a noncanonical sort key list, which would be bad; for one
		 * reason, it certainly wouldn't match any available sort order for
		 * the input relation.
		 */
		if (!pathkey_is_redundant(pathkey, pathkeys))
			pathkeys = lappend(pathkeys, pathkey);
	}

	return pathkeys;
}

/*
 * trim_mergeclauses_for_inner_pathkeys
 *	  This routine trims a list of mergeclauses to include just those that
 *	  work with a specified ordering for the join's inner relation.
 *
 * 'mergeclauses' is a list of RestrictInfos for mergejoin clauses for the
 *			join relation being formed, in an order known to work for the
 *			currently-considered sort ordering of the join's outer rel.
 * 'pathkeys' is a pathkeys list showing the ordering of an inner-rel path;
 *			it should be equal to, or a truncation of, the result of
 *			make_inner_pathkeys_for_merge for these mergeclauses.
 *
 * What we return will be a prefix of the given mergeclauses list.
 *
 * We need this logic because make_inner_pathkeys_for_merge's result isn't
 * necessarily in the same order as the mergeclauses.  That means that if we
 * consider an inner-rel pathkey list that is a truncation of that result,
 * we might need to drop mergeclauses even though they match a surviving inner
 * pathkey.  This happens when they are to the right of a mergeclause that
 * matches a removed inner pathkey.
 *
 * The mergeclauses must be marked (via outer_is_left) to show which side
 * of each clause is associated with the current outer path.  (See
 * select_mergejoin_clauses())
 */
List *
trim_mergeclauses_for_inner_pathkeys(PlannerInfo *root,
									 List *mergeclauses,
									 List *pathkeys)
{
	List	   *new_mergeclauses = NIL;
	PathKey    *pathkey;
	EquivalenceClass *pathkey_ec;
	bool		matched_pathkey;
	ListCell   *lip;
	ListCell   *i;

	/* No pathkeys => no mergeclauses (though we don't expect this case) */
	if (pathkeys == NIL)
		return NIL;
	/* Initialize to consider first pathkey */
	lip = list_head(pathkeys);
	pathkey = (PathKey *) lfirst(lip);
	pathkey_ec = pathkey->pk_eclass;
	lip = lnext(lip);
	matched_pathkey = false;

	/* Scan mergeclauses to see how many we can use */
	foreach(i, mergeclauses)
	{
		RestrictInfo *rinfo = (RestrictInfo *) lfirst(i);
		EquivalenceClass *clause_ec;

		/* Assume we needn't do update_mergeclause_eclasses again here */

		/* Check clause's inner-rel EC against current pathkey */
		clause_ec = rinfo->outer_is_left ?
			rinfo->right_ec : rinfo->left_ec;

		/* If we don't have a match, attempt to advance to next pathkey */
		if (clause_ec != pathkey_ec)
		{
			/* If we had no clauses matching this inner pathkey, must stop */
			if (!matched_pathkey)
				break;

			/* Advance to next inner pathkey, if any */
			if (lip == NULL)
				break;
			pathkey = (PathKey *) lfirst(lip);
			pathkey_ec = pathkey->pk_eclass;
			lip = lnext(lip);
			matched_pathkey = false;
		}

		/* If mergeclause matches current inner pathkey, we can use it */
		if (clause_ec == pathkey_ec)
		{
			new_mergeclauses = lappend(new_mergeclauses, rinfo);
			matched_pathkey = true;
		}
		else
		{
			/* Else, no hope of adding any more mergeclauses */
			break;
		}
	}

	return new_mergeclauses;
}


/****************************************************************************
 *		PATHKEY USEFULNESS CHECKS
 *
 * We only want to remember as many of the pathkeys of a path as have some
 * potential use, either for subsequent mergejoins or for meeting the query's
 * requested output ordering.  This ensures that add_path() won't consider
 * a path to have a usefully different ordering unless it really is useful.
 * These routines check for usefulness of given pathkeys.
 ****************************************************************************/

/*
 * pathkeys_useful_for_merging
 *		Count the number of pathkeys that may be useful for mergejoins
 *		above the given relation.
 *
 * We consider a pathkey potentially useful if it corresponds to the merge
 * ordering of either side of any joinclause for the rel.  This might be
 * overoptimistic, since joinclauses that require different other relations
 * might never be usable at the same time, but trying to be exact is likely
 * to be more trouble than it's worth.
 *
 * To avoid doubling the number of mergejoin paths considered, we would like
 * to consider only one of the two scan directions (ASC or DESC) as useful
 * for merging for any given target column.  The choice is arbitrary unless
 * one of the directions happens to match an ORDER BY key, in which case
 * that direction should be preferred, in hopes of avoiding a final sort step.
 * right_merge_direction() implements this heuristic.
 */
static int
pathkeys_useful_for_merging(PlannerInfo *root, RelOptInfo *rel, List *pathkeys)
{
	int			useful = 0;
	ListCell   *i;

	foreach(i, pathkeys)
	{
		PathKey    *pathkey = (PathKey *) lfirst(i);
		bool		matched = false;
		ListCell   *j;

		/* If "wrong" direction, not useful for merging */
		if (!right_merge_direction(root, pathkey))
			break;

		/*
		 * First look into the EquivalenceClass of the pathkey, to see if
		 * there are any members not yet joined to the rel.  If so, it's
		 * surely possible to generate a mergejoin clause using them.
		 */
		if (rel->has_eclass_joins &&
			eclass_useful_for_merging(root, pathkey->pk_eclass, rel))
			matched = true;
		else
		{
			/*
			 * Otherwise search the rel's joininfo list, which contains
			 * non-EquivalenceClass-derivable join clauses that might
			 * nonetheless be mergejoinable.
			 */
			foreach(j, rel->joininfo)
			{
				RestrictInfo *restrictinfo = (RestrictInfo *) lfirst(j);

				if (restrictinfo->mergeopfamilies == NIL)
					continue;
				update_mergeclause_eclasses(root, restrictinfo);

				if (pathkey->pk_eclass == restrictinfo->left_ec ||
					pathkey->pk_eclass == restrictinfo->right_ec)
				{
					matched = true;
					break;
				}
			}
		}

		/*
		 * If we didn't find a mergeclause, we're done --- any additional
		 * sort-key positions in the pathkeys are useless.  (But we can still
		 * mergejoin if we found at least one mergeclause.)
		 */
		if (matched)
			useful++;
		else
			break;
	}

	return useful;
}

/*
 * right_merge_direction
 *		Check whether the pathkey embodies the preferred sort direction
 *		for merging its target column.
 */
static bool
right_merge_direction(PlannerInfo *root, PathKey *pathkey)
{
	ListCell   *l;

	foreach(l, root->query_pathkeys)
	{
		PathKey    *query_pathkey = (PathKey *) lfirst(l);

		if (pathkey->pk_eclass == query_pathkey->pk_eclass &&
			pathkey->pk_opfamily == query_pathkey->pk_opfamily)
		{
			/*
			 * Found a matching query sort column.  Prefer this pathkey's
			 * direction iff it matches.  Note that we ignore pk_nulls_first,
			 * which means that a sort might be needed anyway ... but we still
			 * want to prefer only one of the two possible directions, and we
			 * might as well use this one.
			 */
			return (pathkey->pk_strategy == query_pathkey->pk_strategy);
		}
	}

	/* If no matching ORDER BY request, prefer the ASC direction */
	return (pathkey->pk_strategy == BTLessStrategyNumber);
}

/*
 * pathkeys_useful_for_ordering
 *		Count the number of pathkeys that are useful for meeting the
 *		query's requested output ordering.
 *
 * Unlike merge pathkeys, this is an all-or-nothing affair: it does us
 * no good to order by just the first key(s) of the requested ordering.
 * So the result is always either 0 or list_length(root->query_pathkeys).
 */
static int
pathkeys_useful_for_ordering(PlannerInfo *root, List *pathkeys)
{
	if (root->query_pathkeys == NIL)
		return 0;				/* no special ordering requested */

	if (pathkeys == NIL)
		return 0;				/* unordered path */

	if (pathkeys_contained_in(root->query_pathkeys, pathkeys))
	{
		/* It's useful ... or at least the first N keys are */
		return list_length(root->query_pathkeys);
	}

	return 0;					/* path ordering not useful */
}

/*
 * truncate_useless_pathkeys
 *		Shorten the given pathkey list to just the useful pathkeys.
 */
List *
truncate_useless_pathkeys(PlannerInfo *root,
						  RelOptInfo *rel,
						  List *pathkeys)
{
	int			nuseful;
	int			nuseful2;

	nuseful = pathkeys_useful_for_merging(root, rel, pathkeys);
	nuseful2 = pathkeys_useful_for_ordering(root, pathkeys);
	if (nuseful2 > nuseful)
		nuseful = nuseful2;

	/*
	 * Note: not safe to modify input list destructively, but we can avoid
	 * copying the list if we're not actually going to change it
	 */
	if (nuseful == 0)
		return NIL;
	else if (nuseful == list_length(pathkeys))
		return pathkeys;
	else
		return list_truncate(list_copy(pathkeys), nuseful);
}

/*
 * has_useful_pathkeys
 *		Detect whether the specified rel could have any pathkeys that are
 *		useful according to truncate_useless_pathkeys().
 *
 * This is a cheap test that lets us skip building pathkeys at all in very
 * simple queries.  It's OK to err in the direction of returning "true" when
 * there really aren't any usable pathkeys, but erring in the other direction
 * is bad --- so keep this in sync with the routines above!
 *
 * We could make the test more complex, for example checking to see if any of
 * the joinclauses are really mergejoinable, but that likely wouldn't win
 * often enough to repay the extra cycles.  Queries with neither a join nor
 * a sort are reasonably common, though, so this much work seems worthwhile.
 */
bool
has_useful_pathkeys(PlannerInfo *root, RelOptInfo *rel)
{
	if (rel->joininfo != NIL || rel->has_eclass_joins)
		return true;			/* might be able to use pathkeys for merging */
	if (root->query_pathkeys != NIL)
		return true;			/* might be able to use them for ordering */
	return false;				/* definitely useless */
}

相关信息

greenplumn 源码目录

相关文章

greenplumn allpaths 源码

greenplumn clausesel 源码

greenplumn costsize 源码

greenplumn equivclass 源码

greenplumn indxpath 源码

greenplumn joinpath 源码

greenplumn joinrels 源码

greenplumn orindxpath 源码

greenplumn tidpath 源码

0  赞