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+/*-------------------------------------------------------------------------
+ *
+ * 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) 1996-2022, 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/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"
+
+
+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);
+
+
+/****************************************************************************
+ * PATHKEY CONSTRUCTION AND REDUNDANCY TESTING
+ ****************************************************************************/
+
+/*
+ * 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.
+ */
+PathKey *
+make_canonical_pathkey(PlannerInfo *root,
+ EquivalenceClass *eclass, Oid opfamily,
+ int strategy, bool nulls_first)
+{
+ PathKey *pk;
+ ListCell *lc;
+ MemoryContext oldcontext;
+
+ /* Can't make canonical pathkeys if the set of ECs might still change */
+ if (!root->ec_merging_done)
+ elog(ERROR, "too soon to build canonical pathkeys");
+
+ /* 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.
+ */
+static 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;
+}
+
+/*
+ * pathkeys_count_contained_in
+ * Same as pathkeys_contained_in, but also sets length of longest
+ * common prefix of keys1 and keys2.
+ */
+bool
+pathkeys_count_contained_in(List *keys1, List *keys2, int *n_common)
+{
+ int n = 0;
+ ListCell *key1,
+ *key2;
+
+ /*
+ * See if we can avoiding looping through both lists. This optimization
+ * gains us several percent in planning time in a worst-case test.
+ */
+ if (keys1 == keys2)
+ {
+ *n_common = list_length(keys1);
+ return true;
+ }
+ else if (keys1 == NIL)
+ {
+ *n_common = 0;
+ return true;
+ }
+ else if (keys2 == NIL)
+ {
+ *n_common = 0;
+ return false;
+ }
+
+ /*
+ * If both lists are non-empty, iterate through both to find out how many
+ * items are shared.
+ */
+ forboth(key1, keys1, key2, keys2)
+ {
+ PathKey *pathkey1 = (PathKey *) lfirst(key1);
+ PathKey *pathkey2 = (PathKey *) lfirst(key2);
+
+ if (pathkey1 != pathkey2)
+ {
+ *n_common = n;
+ return false;
+ }
+ n++;
+ }
+
+ /* If we ended with a null value, then we've processed the whole list. */
+ *n_common = n;
+ return (key1 == NULL);
+}
+
+/*
+ * 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(root, 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->live_parts));
+ /* 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);
+
+ /*
+ * 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 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;
+}
+
+/****************************************************************************
+ * 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(outer_pathkeys, 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(pathkeys, 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(pathkeys, 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.
+ *
+ * Because we the have the possibility of incremental sort, a prefix list of
+ * keys is potentially useful for improving the performance of the requested
+ * ordering. Thus we return 0, if no valuable keys are found, or the number
+ * of leading keys shared by the list and the requested ordering..
+ */
+static int
+pathkeys_useful_for_ordering(PlannerInfo *root, List *pathkeys)
+{
+ int n_common_pathkeys;
+
+ if (root->query_pathkeys == NIL)
+ return 0; /* no special ordering requested */
+
+ if (pathkeys == NIL)
+ return 0; /* unordered path */
+
+ (void) pathkeys_count_contained_in(root->query_pathkeys, pathkeys,
+ &n_common_pathkeys);
+
+ return n_common_pathkeys;
+}
+
+/*
+ * 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 */
+}