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diff --git a/contrib/intarray/_int_selfuncs.c b/contrib/intarray/_int_selfuncs.c
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+/*-------------------------------------------------------------------------
+ *
+ * _int_selfuncs.c
+ * Functions for selectivity estimation of intarray operators
+ *
+ * Portions Copyright (c) 1996-2020, PostgreSQL Global Development Group
+ * Portions Copyright (c) 1994, Regents of the University of California
+ *
+ *
+ * IDENTIFICATION
+ * contrib/intarray/_int_selfuncs.c
+ *
+ *-------------------------------------------------------------------------
+ */
+#include "postgres.h"
+
+#include "_int.h"
+#include "access/htup_details.h"
+#include "catalog/pg_operator.h"
+#include "catalog/pg_statistic.h"
+#include "catalog/pg_type.h"
+#include "miscadmin.h"
+#include "utils/builtins.h"
+#include "utils/lsyscache.h"
+#include "utils/selfuncs.h"
+#include "utils/syscache.h"
+
+PG_FUNCTION_INFO_V1(_int_overlap_sel);
+PG_FUNCTION_INFO_V1(_int_contains_sel);
+PG_FUNCTION_INFO_V1(_int_contained_sel);
+PG_FUNCTION_INFO_V1(_int_overlap_joinsel);
+PG_FUNCTION_INFO_V1(_int_contains_joinsel);
+PG_FUNCTION_INFO_V1(_int_contained_joinsel);
+PG_FUNCTION_INFO_V1(_int_matchsel);
+
+
+static Selectivity int_query_opr_selec(ITEM *item, Datum *values, float4 *freqs,
+ int nmncelems, float4 minfreq);
+static int compare_val_int4(const void *a, const void *b);
+
+/*
+ * Wrappers around the default array selectivity estimation functions.
+ *
+ * The default array selectivity operators for the @>, && and @< operators
+ * work fine for integer arrays. However, if we tried to just use arraycontsel
+ * and arraycontjoinsel directly as the cost estimator functions for our
+ * operators, they would not work as intended, because they look at the
+ * operator's OID. Our operators behave exactly like the built-in anyarray
+ * versions, but we must tell the cost estimator functions which built-in
+ * operators they correspond to. These wrappers just replace the operator
+ * OID with the corresponding built-in operator's OID, and call the built-in
+ * function.
+ */
+
+Datum
+_int_overlap_sel(PG_FUNCTION_ARGS)
+{
+ PG_RETURN_DATUM(DirectFunctionCall4(arraycontsel,
+ PG_GETARG_DATUM(0),
+ ObjectIdGetDatum(OID_ARRAY_OVERLAP_OP),
+ PG_GETARG_DATUM(2),
+ PG_GETARG_DATUM(3)));
+}
+
+Datum
+_int_contains_sel(PG_FUNCTION_ARGS)
+{
+ PG_RETURN_DATUM(DirectFunctionCall4(arraycontsel,
+ PG_GETARG_DATUM(0),
+ ObjectIdGetDatum(OID_ARRAY_CONTAINS_OP),
+ PG_GETARG_DATUM(2),
+ PG_GETARG_DATUM(3)));
+}
+
+Datum
+_int_contained_sel(PG_FUNCTION_ARGS)
+{
+ PG_RETURN_DATUM(DirectFunctionCall4(arraycontsel,
+ PG_GETARG_DATUM(0),
+ ObjectIdGetDatum(OID_ARRAY_CONTAINED_OP),
+ PG_GETARG_DATUM(2),
+ PG_GETARG_DATUM(3)));
+}
+
+Datum
+_int_overlap_joinsel(PG_FUNCTION_ARGS)
+{
+ PG_RETURN_DATUM(DirectFunctionCall5(arraycontjoinsel,
+ PG_GETARG_DATUM(0),
+ ObjectIdGetDatum(OID_ARRAY_OVERLAP_OP),
+ PG_GETARG_DATUM(2),
+ PG_GETARG_DATUM(3),
+ PG_GETARG_DATUM(4)));
+}
+
+Datum
+_int_contains_joinsel(PG_FUNCTION_ARGS)
+{
+ PG_RETURN_DATUM(DirectFunctionCall5(arraycontjoinsel,
+ PG_GETARG_DATUM(0),
+ ObjectIdGetDatum(OID_ARRAY_CONTAINS_OP),
+ PG_GETARG_DATUM(2),
+ PG_GETARG_DATUM(3),
+ PG_GETARG_DATUM(4)));
+}
+
+Datum
+_int_contained_joinsel(PG_FUNCTION_ARGS)
+{
+ PG_RETURN_DATUM(DirectFunctionCall5(arraycontjoinsel,
+ PG_GETARG_DATUM(0),
+ ObjectIdGetDatum(OID_ARRAY_CONTAINED_OP),
+ PG_GETARG_DATUM(2),
+ PG_GETARG_DATUM(3),
+ PG_GETARG_DATUM(4)));
+}
+
+
+/*
+ * _int_matchsel -- restriction selectivity function for intarray @@ query_int
+ */
+Datum
+_int_matchsel(PG_FUNCTION_ARGS)
+{
+ PlannerInfo *root = (PlannerInfo *) PG_GETARG_POINTER(0);
+
+ List *args = (List *) PG_GETARG_POINTER(2);
+ int varRelid = PG_GETARG_INT32(3);
+ VariableStatData vardata;
+ Node *other;
+ bool varonleft;
+ Selectivity selec;
+ QUERYTYPE *query;
+ Datum *mcelems = NULL;
+ float4 *mcefreqs = NULL;
+ int nmcelems = 0;
+ float4 minfreq = 0.0;
+ float4 nullfrac = 0.0;
+ AttStatsSlot sslot;
+
+ /*
+ * If expression is not "variable @@ something" or "something @@ variable"
+ * then punt and return a default estimate.
+ */
+ if (!get_restriction_variable(root, args, varRelid,
+ &vardata, &other, &varonleft))
+ PG_RETURN_FLOAT8(DEFAULT_EQ_SEL);
+
+ /*
+ * Variable should be int[]. We don't support cases where variable is
+ * query_int.
+ */
+ if (vardata.vartype != INT4ARRAYOID)
+ PG_RETURN_FLOAT8(DEFAULT_EQ_SEL);
+
+ /*
+ * Can't do anything useful if the something is not a constant, either.
+ */
+ if (!IsA(other, Const))
+ {
+ ReleaseVariableStats(vardata);
+ PG_RETURN_FLOAT8(DEFAULT_EQ_SEL);
+ }
+
+ /*
+ * The "@@" operator is strict, so we can cope with NULL right away.
+ */
+ if (((Const *) other)->constisnull)
+ {
+ ReleaseVariableStats(vardata);
+ PG_RETURN_FLOAT8(0.0);
+ }
+
+ /* The caller made sure the const is a query, so get it now */
+ query = DatumGetQueryTypeP(((Const *) other)->constvalue);
+
+ /* Empty query matches nothing */
+ if (query->size == 0)
+ {
+ ReleaseVariableStats(vardata);
+ return (Selectivity) 0.0;
+ }
+
+ /*
+ * Get the statistics for the intarray column.
+ *
+ * We're interested in the Most-Common-Elements list, and the NULL
+ * fraction.
+ */
+ if (HeapTupleIsValid(vardata.statsTuple))
+ {
+ Form_pg_statistic stats;
+
+ stats = (Form_pg_statistic) GETSTRUCT(vardata.statsTuple);
+ nullfrac = stats->stanullfrac;
+
+ /*
+ * For an int4 array, the default array type analyze function will
+ * collect a Most Common Elements list, which is an array of int4s.
+ */
+ if (get_attstatsslot(&sslot, vardata.statsTuple,
+ STATISTIC_KIND_MCELEM, InvalidOid,
+ ATTSTATSSLOT_VALUES | ATTSTATSSLOT_NUMBERS))
+ {
+ Assert(sslot.valuetype == INT4OID);
+
+ /*
+ * There should be three more Numbers than Values, because the
+ * last three (for intarray) cells are taken for minimal, maximal
+ * and nulls frequency. Punt if not.
+ */
+ if (sslot.nnumbers == sslot.nvalues + 3)
+ {
+ /* Grab the lowest frequency. */
+ minfreq = sslot.numbers[sslot.nnumbers - (sslot.nnumbers - sslot.nvalues)];
+
+ mcelems = sslot.values;
+ mcefreqs = sslot.numbers;
+ nmcelems = sslot.nvalues;
+ }
+ }
+ }
+ else
+ memset(&sslot, 0, sizeof(sslot));
+
+ /* Process the logical expression in the query, using the stats */
+ selec = int_query_opr_selec(GETQUERY(query) + query->size - 1,
+ mcelems, mcefreqs, nmcelems, minfreq);
+
+ /* MCE stats count only non-null rows, so adjust for null rows. */
+ selec *= (1.0 - nullfrac);
+
+ free_attstatsslot(&sslot);
+ ReleaseVariableStats(vardata);
+
+ CLAMP_PROBABILITY(selec);
+
+ PG_RETURN_FLOAT8((float8) selec);
+}
+
+/*
+ * Estimate selectivity of single intquery operator
+ */
+static Selectivity
+int_query_opr_selec(ITEM *item, Datum *mcelems, float4 *mcefreqs,
+ int nmcelems, float4 minfreq)
+{
+ Selectivity selec;
+
+ /* since this function recurses, it could be driven to stack overflow */
+ check_stack_depth();
+
+ if (item->type == VAL)
+ {
+ Datum *searchres;
+
+ if (mcelems == NULL)
+ return (Selectivity) DEFAULT_EQ_SEL;
+
+ searchres = (Datum *) bsearch(&item->val, mcelems, nmcelems,
+ sizeof(Datum), compare_val_int4);
+ if (searchres)
+ {
+ /*
+ * The element is in MCELEM. Return precise selectivity (or at
+ * least as precise as ANALYZE could find out).
+ */
+ selec = mcefreqs[searchres - mcelems];
+ }
+ else
+ {
+ /*
+ * The element is not in MCELEM. Punt, but assume that the
+ * selectivity cannot be more than minfreq / 2.
+ */
+ selec = Min(DEFAULT_EQ_SEL, minfreq / 2);
+ }
+ }
+ else if (item->type == OPR)
+ {
+ /* Current query node is an operator */
+ Selectivity s1,
+ s2;
+
+ s1 = int_query_opr_selec(item - 1, mcelems, mcefreqs, nmcelems,
+ minfreq);
+ switch (item->val)
+ {
+ case (int32) '!':
+ selec = 1.0 - s1;
+ break;
+
+ case (int32) '&':
+ s2 = int_query_opr_selec(item + item->left, mcelems, mcefreqs,
+ nmcelems, minfreq);
+ selec = s1 * s2;
+ break;
+
+ case (int32) '|':
+ s2 = int_query_opr_selec(item + item->left, mcelems, mcefreqs,
+ nmcelems, minfreq);
+ selec = s1 + s2 - s1 * s2;
+ break;
+
+ default:
+ elog(ERROR, "unrecognized operator: %d", item->val);
+ selec = 0; /* keep compiler quiet */
+ break;
+ }
+ }
+ else
+ {
+ elog(ERROR, "unrecognized int query item type: %u", item->type);
+ selec = 0; /* keep compiler quiet */
+ }
+
+ /* Clamp intermediate results to stay sane despite roundoff error */
+ CLAMP_PROBABILITY(selec);
+
+ return selec;
+}
+
+/*
+ * Comparison function for binary search in mcelem array.
+ */
+static int
+compare_val_int4(const void *a, const void *b)
+{
+ int32 key = *(int32 *) a;
+ const Datum *t = (const Datum *) b;
+
+ return key - DatumGetInt32(*t);
+}