File: Fix-selectivity-test-on-PostgreSQL-18.patch

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From: Ed Sabol <22986767+esabol@users.noreply.github.com>
Date: Wed, 8 Oct 2025 14:51:10 -0400
Subject: Fix selectivity test on PostgreSQL 18

URL: https://github.com/postgrespro/pgsphere/pull/140
---
 expected/gist_support_1.out | 155 +++++++++++++++++++++++++++++++
 expected/moc100_1.out       | 220 ++++++++++++++++++++++++++++++++++++++++++++
 expected/moc1_1.out         | 120 ++++++++++++++++++++++++
 expected/moc_options.out    |   6 +-
 expected/moc_options_1.out  |  43 +++++++++
 expected/selectivity.out    |   3 +-
 expected/selectivity_1.out  |   3 +-
 expected/selectivity_2.out  | 125 +++++++++++++++++++++++++
 sql/moc_options.sql         |   6 +-
 sql/selectivity.sql         |   3 +-
 10 files changed, 675 insertions(+), 9 deletions(-)
 create mode 100644 expected/gist_support_1.out
 create mode 100644 expected/moc100_1.out
 create mode 100644 expected/moc1_1.out
 create mode 100644 expected/moc_options_1.out
 create mode 100644 expected/selectivity_2.out

diff --git a/expected/gist_support_1.out b/expected/gist_support_1.out
new file mode 100644
index 0000000..2966563
--- /dev/null
+++ b/expected/gist_support_1.out
@@ -0,0 +1,155 @@
+-- spoint_dwithin function selectivity
+set jit = off; -- suppress extra planning output
+select explain('select * from spoint10k where spoint_dwithin(star, spoint(1,1), 1)');
+                                             explain                                              
+--------------------------------------------------------------------------------------------------
+ Bitmap Heap Scan on spoint10k  (rows=2298 width=16) (actual rows=3009.00 loops=1)
+   Filter: spoint_dwithin(star, '(1 , 1)'::spoint, '1'::double precision)
+   Rows Removed by Filter: 1560
+   Heap Blocks: exact=55
+   ->  Bitmap Index Scan on spoint10k_star_idx  (rows=2298 width=0) (actual rows=4569.00 loops=1)
+         Index Cond: (star <@ '<(1 , 1) , 1>'::scircle)
+(6 rows)
+
+select explain('select * from spoint10k where spoint_dwithin(star, spoint(1,1), .1)');
+                                           explain                                            
+----------------------------------------------------------------------------------------------
+ Bitmap Heap Scan on spoint10k  (rows=25 width=16) (actual rows=29.00 loops=1)
+   Filter: spoint_dwithin(star, '(1 , 1)'::spoint, '0.1'::double precision)
+   Rows Removed by Filter: 19
+   Heap Blocks: exact=32
+   ->  Bitmap Index Scan on spoint10k_star_idx  (rows=25 width=0) (actual rows=48.00 loops=1)
+         Index Cond: (star <@ '<(1 , 1) , 0.1>'::scircle)
+(6 rows)
+
+select explain('select * from spoint10k where spoint_dwithin(star, spoint(1,1), .01)');
+                                            explain                                             
+------------------------------------------------------------------------------------------------
+ Index Scan using spoint10k_star_idx on spoint10k  (rows=1 width=16) (actual rows=1.00 loops=1)
+   Index Cond: (star <@ '<(1 , 1) , 0.01>'::scircle)
+(2 rows)
+
+select explain('select * from spoint10k where spoint_dwithin(spoint(1,1), star, 1)');
+                                             explain                                              
+--------------------------------------------------------------------------------------------------
+ Bitmap Heap Scan on spoint10k  (rows=2298 width=16) (actual rows=3009.00 loops=1)
+   Filter: spoint_dwithin('(1 , 1)'::spoint, star, '1'::double precision)
+   Rows Removed by Filter: 1560
+   Heap Blocks: exact=55
+   ->  Bitmap Index Scan on spoint10k_star_idx  (rows=2298 width=0) (actual rows=4569.00 loops=1)
+         Index Cond: (star <@ '<(1 , 1) , 1>'::scircle)
+(6 rows)
+
+select explain('select * from spoint10k where spoint_dwithin(spoint(1,1), star, .1)');
+                                           explain                                            
+----------------------------------------------------------------------------------------------
+ Bitmap Heap Scan on spoint10k  (rows=25 width=16) (actual rows=29.00 loops=1)
+   Filter: spoint_dwithin('(1 , 1)'::spoint, star, '0.1'::double precision)
+   Rows Removed by Filter: 19
+   Heap Blocks: exact=32
+   ->  Bitmap Index Scan on spoint10k_star_idx  (rows=25 width=0) (actual rows=48.00 loops=1)
+         Index Cond: (star <@ '<(1 , 1) , 0.1>'::scircle)
+(6 rows)
+
+select explain('select * from spoint10k where spoint_dwithin(spoint(1,1), star, .01)');
+                                            explain                                             
+------------------------------------------------------------------------------------------------
+ Index Scan using spoint10k_star_idx on spoint10k  (rows=1 width=16) (actual rows=1.00 loops=1)
+   Index Cond: (star <@ '<(1 , 1) , 0.01>'::scircle)
+(2 rows)
+
+select explain('select * from spoint10k a join spoint10k b on spoint_dwithin(a.star, b.star, 1)', do_analyze := 'false');
+                                        explain                                        
+---------------------------------------------------------------------------------------
+ Nested Loop  (rows=22984885 width=32)
+   ->  Seq Scan on spoint10k a  (rows=10000 width=16)
+   ->  Index Scan using spoint10k_star_idx on spoint10k b  (rows=2298 width=16)
+         Index Cond: (star OPERATOR(public.<@) scircle(a.star, '1'::double precision))
+(4 rows)
+
+select explain('select * from spoint10k a join spoint10k b on spoint_dwithin(a.star, b.star, .1)');
+                                                   explain                                                    
+--------------------------------------------------------------------------------------------------------------
+ Nested Loop  (rows=249792 width=32) (actual rows=505342.00 loops=1)
+   ->  Seq Scan on spoint10k a  (rows=10000 width=16) (actual rows=10000.00 loops=1)
+   ->  Index Scan using spoint10k_star_idx on spoint10k b  (rows=25 width=16) (actual rows=50.53 loops=10000)
+         Index Cond: (star OPERATOR(public.<@) scircle(a.star, '0.1'::double precision))
+         Rows Removed by Index Recheck: 31
+(5 rows)
+
+select explain('select * from spoint10k a join spoint10k b on spoint_dwithin(a.star, b.star, .01)');
+                                                  explain                                                   
+------------------------------------------------------------------------------------------------------------
+ Nested Loop  (rows=2500 width=32) (actual rows=17614.00 loops=1)
+   ->  Seq Scan on spoint10k a  (rows=10000 width=16) (actual rows=10000.00 loops=1)
+   ->  Index Scan using spoint10k_star_idx on spoint10k b  (rows=1 width=16) (actual rows=1.76 loops=10000)
+         Index Cond: (star OPERATOR(public.<@) scircle(a.star, '0.01'::double precision))
+         Rows Removed by Index Recheck: 1
+(5 rows)
+
+-- spoint_dwithin is symmetric in the first two arguments
+select explain('select * from spoint10k a join spoint10k b on spoint_dwithin(a.star, b.star, .01)
+  where spoint_dwithin(a.star, spoint(1,1), .1)');
+                                                 explain                                                 
+---------------------------------------------------------------------------------------------------------
+ Nested Loop  (rows=6 width=32) (actual rows=33.00 loops=1)
+   ->  Bitmap Heap Scan on spoint10k a  (rows=25 width=16) (actual rows=29.00 loops=1)
+         Filter: spoint_dwithin(star, '(1 , 1)'::spoint, '0.1'::double precision)
+         Rows Removed by Filter: 19
+         Heap Blocks: exact=32
+         ->  Bitmap Index Scan on spoint10k_star_idx  (rows=25 width=0) (actual rows=48.00 loops=1)
+               Index Cond: (star <@ '<(1 , 1) , 0.1>'::scircle)
+   ->  Index Scan using spoint10k_star_idx on spoint10k b  (rows=1 width=16) (actual rows=1.14 loops=29)
+         Index Cond: (star OPERATOR(public.<@) scircle(a.star, '0.01'::double precision))
+         Rows Removed by Index Recheck: 0
+(10 rows)
+
+select explain('select * from spoint10k a join spoint10k b on spoint_dwithin(b.star, a.star, .01)
+  where spoint_dwithin(a.star, spoint(1,1), .1)');
+                                                 explain                                                 
+---------------------------------------------------------------------------------------------------------
+ Nested Loop  (rows=6 width=32) (actual rows=33.00 loops=1)
+   ->  Bitmap Heap Scan on spoint10k a  (rows=25 width=16) (actual rows=29.00 loops=1)
+         Filter: spoint_dwithin(star, '(1 , 1)'::spoint, '0.1'::double precision)
+         Rows Removed by Filter: 19
+         Heap Blocks: exact=32
+         ->  Bitmap Index Scan on spoint10k_star_idx  (rows=25 width=0) (actual rows=48.00 loops=1)
+               Index Cond: (star <@ '<(1 , 1) , 0.1>'::scircle)
+   ->  Index Scan using spoint10k_star_idx on spoint10k b  (rows=1 width=16) (actual rows=1.14 loops=29)
+         Index Cond: (star OPERATOR(public.<@) scircle(a.star, '0.01'::double precision))
+         Rows Removed by Index Recheck: 0
+(10 rows)
+
+-- both sides indexable, check if the planner figures out the better choice
+select explain('select * from spoint10k a join spoint10k b on spoint_dwithin(a.star, b.star, .01)
+  where spoint_dwithin(a.star, spoint(1,1), .1) and spoint_dwithin(b.star, spoint(1,1), .05)');
+                                                               explain                                                               
+-------------------------------------------------------------------------------------------------------------------------------------
+ Nested Loop  (rows=1 width=32) (actual rows=16.00 loops=1)
+   ->  Bitmap Heap Scan on spoint10k b  (rows=6 width=16) (actual rows=12.00 loops=1)
+         Filter: spoint_dwithin(star, '(1 , 1)'::spoint, '0.05'::double precision)
+         Rows Removed by Filter: 4
+         Heap Blocks: exact=14
+         ->  Bitmap Index Scan on spoint10k_star_idx  (rows=6 width=0) (actual rows=16.00 loops=1)
+               Index Cond: (star <@ '<(1 , 1) , 0.05>'::scircle)
+   ->  Index Scan using spoint10k_star_idx on spoint10k a  (rows=1 width=16) (actual rows=1.33 loops=12)
+         Index Cond: ((star OPERATOR(public.<@) scircle(b.star, '0.01'::double precision)) AND (star <@ '<(1 , 1) , 0.1>'::scircle))
+         Rows Removed by Index Recheck: 0
+(10 rows)
+
+select explain('select * from spoint10k a join spoint10k b on spoint_dwithin(a.star, b.star, .01)
+  where spoint_dwithin(a.star, spoint(1,1), .05) and spoint_dwithin(b.star, spoint(1,1), .1)');
+                                                               explain                                                               
+-------------------------------------------------------------------------------------------------------------------------------------
+ Nested Loop  (rows=1 width=32) (actual rows=16.00 loops=1)
+   ->  Bitmap Heap Scan on spoint10k a  (rows=6 width=16) (actual rows=12.00 loops=1)
+         Filter: spoint_dwithin(star, '(1 , 1)'::spoint, '0.05'::double precision)
+         Rows Removed by Filter: 4
+         Heap Blocks: exact=14
+         ->  Bitmap Index Scan on spoint10k_star_idx  (rows=6 width=0) (actual rows=16.00 loops=1)
+               Index Cond: (star <@ '<(1 , 1) , 0.05>'::scircle)
+   ->  Index Scan using spoint10k_star_idx on spoint10k b  (rows=1 width=16) (actual rows=1.33 loops=12)
+         Index Cond: ((star OPERATOR(public.<@) scircle(a.star, '0.01'::double precision)) AND (star <@ '<(1 , 1) , 0.1>'::scircle))
+         Rows Removed by Index Recheck: 0
+(10 rows)
+
diff --git a/expected/moc100_1.out b/expected/moc100_1.out
new file mode 100644
index 0000000..4cce1a4
--- /dev/null
+++ b/expected/moc100_1.out
@@ -0,0 +1,220 @@
+CREATE TABLE moc100 (
+	ivoid text,
+	coverage smoc,
+	ref_system_name text
+);
+COPY moc100 FROM STDIN;
+ANALYZE moc100;
+CREATE INDEX ON moc100 USING GIN (coverage);
+SELECT ivoid FROM moc100 WHERE coverage && '4/0' ORDER BY ivoid;
+                  ivoid                   
+------------------------------------------
+ ivo://byu.arvo/dfbsspec/q/getssa
+ ivo://cadc.nrc.ca/archive/cfht
+ ivo://cadc.nrc.ca/archive/hst
+ ivo://cds.vizier/b/assocdata
+ ivo://cds.vizier/b/swift
+ ivo://cds.vizier/i/241
+ ivo://cds.vizier/iv/12
+ ivo://cds.vizier/ix/13
+ ivo://cds.vizier/j/a+a/316/147
+ ivo://cds.vizier/j/a+as/105/311
+ ivo://cds.vizier/j/a+as/122/235
+ ivo://chivo/gaia/q/dr1
+ ivo://chivo/openngc/q/data
+ ivo://cxc.harvard.edu/csc
+ ivo://irsa.ipac/2mass/catalog/psc
+ ivo://irsa.ipac/2mass/catalog/xsc
+ ivo://irsa.ipac/2mass/images/asky-ql
+ ivo://irsa.ipac/cosmos/images
+ ivo://irsa.ipac/iras/images/issa
+ ivo://irsa.ipac/mast/scrapbook
+ ivo://irsa.ipac/spitzer/images/swire
+ ivo://mssl.ucl.ac.uk/xmmsuss_dsa/xmmsuss
+ ivo://ned.ipac/sia
+ ivo://ned.ipac/tap
+ ivo://svo.cab/cat/gbs
+ ivo://svo.cab/cat/uves
+ ivo://svo.cab/cat/xshooter
+ ivo://vopdc.iap/fss
+ ivo://vopdc.obspm/imcce/m4ast
+ ivo://vopdc.obspm/imcce/miriade
+ ivo://vopdc.obspm/imcce/skybot
+ ivo://vopdc.obspm/lesia/bestars/besc
+ ivo://vopdc.obspm/lesia/bestars/bess
+ ivo://vopdc.obspm/luth/exoplanet
+ ivo://vopdc.obspm/luth/hess
+(35 rows)
+
+-- PG 10 does not have JIT, ignore errors on SET
+DO $$
+   begin
+      set jit = off;
+   exception
+      when undefined_object then null;
+      when others then raise;
+   end;
+$$;
+SELECT explain ($$SELECT * FROM moc100 WHERE coverage && '0/'$$);
+                                           explain                                           
+---------------------------------------------------------------------------------------------
+ Bitmap Heap Scan on moc100  (rows=1 width=341) (actual rows=0.00 loops=1)
+   Recheck Cond: (coverage && '0/'::smoc)
+   ->  Bitmap Index Scan on moc100_coverage_idx  (rows=1 width=0) (actual rows=0.00 loops=1)
+         Index Cond: (coverage && '0/'::smoc)
+(4 rows)
+
+SELECT explain ($$SELECT * FROM moc100 WHERE coverage && '4/0'$$);
+                              explain                               
+--------------------------------------------------------------------
+ Seq Scan on moc100  (rows=1 width=341) (actual rows=35.00 loops=1)
+   Filter: (coverage && '4/0'::smoc)
+   Rows Removed by Filter: 66
+(3 rows)
+
+SELECT explain ($$SELECT * FROM moc100 WHERE coverage = '0/0-11'$$);
+                              explain                               
+--------------------------------------------------------------------
+ Seq Scan on moc100  (rows=1 width=341) (actual rows=23.00 loops=1)
+   Filter: (coverage = '0/0-11'::smoc)
+   Rows Removed by Filter: 78
+(3 rows)
+
+SELECT explain ($$SELECT * FROM moc100 WHERE coverage = '6/43225,43227'$$);
+                              explain                              
+-------------------------------------------------------------------
+ Seq Scan on moc100  (rows=1 width=341) (actual rows=1.00 loops=1)
+   Filter: (coverage = '6/43225 43227'::smoc)
+   Rows Removed by Filter: 100
+(3 rows)
+
+SELECT explain ($$SELECT * FROM moc100 WHERE coverage = '0/'$$);
+                              explain                              
+-------------------------------------------------------------------
+ Seq Scan on moc100  (rows=1 width=341) (actual rows=1.00 loops=1)
+   Filter: (coverage = '0/'::smoc)
+   Rows Removed by Filter: 100
+(3 rows)
+
+SELECT explain ($$SELECT * FROM moc100 WHERE coverage <> '0/0-11'$$);
+                               explain                                
+----------------------------------------------------------------------
+ Seq Scan on moc100  (rows=100 width=341) (actual rows=78.00 loops=1)
+   Filter: (coverage <> '0/0-11'::smoc)
+   Rows Removed by Filter: 23
+(3 rows)
+
+SELECT explain ($$SELECT * FROM moc100 WHERE coverage <> '6/43225,43227'$$);
+                                explain                                
+-----------------------------------------------------------------------
+ Seq Scan on moc100  (rows=100 width=341) (actual rows=100.00 loops=1)
+   Filter: (coverage <> '6/43225 43227'::smoc)
+   Rows Removed by Filter: 1
+(3 rows)
+
+SELECT explain ($$SELECT * FROM moc100 WHERE coverage <> '0/'$$);
+                                explain                                
+-----------------------------------------------------------------------
+ Seq Scan on moc100  (rows=100 width=341) (actual rows=100.00 loops=1)
+   Filter: (coverage <> '0/'::smoc)
+   Rows Removed by Filter: 1
+(3 rows)
+
+SET enable_seqscan = off;
+SELECT explain ($$SELECT * FROM moc100 WHERE coverage && '4/0'$$);
+                                           explain                                            
+----------------------------------------------------------------------------------------------
+ Bitmap Heap Scan on moc100  (rows=1 width=341) (actual rows=35.00 loops=1)
+   Recheck Cond: (coverage && '4/0'::smoc)
+   Heap Blocks: exact=5
+   ->  Bitmap Index Scan on moc100_coverage_idx  (rows=1 width=0) (actual rows=35.00 loops=1)
+         Index Cond: (coverage && '4/0'::smoc)
+(5 rows)
+
+SELECT explain ($$SELECT * FROM moc100 WHERE coverage <@ '4/0'$$);
+                                           explain                                            
+----------------------------------------------------------------------------------------------
+ Bitmap Heap Scan on moc100  (rows=1 width=341) (actual rows=1.00 loops=1)
+   Recheck Cond: (coverage <@ '4/0'::smoc)
+   Rows Removed by Index Recheck: 35
+   Heap Blocks: exact=5
+   ->  Bitmap Index Scan on moc100_coverage_idx  (rows=1 width=0) (actual rows=36.00 loops=1)
+         Index Cond: (coverage <@ '4/0'::smoc)
+(6 rows)
+
+SELECT explain ($$SELECT * FROM moc100 WHERE coverage @> '4/0'$$);
+                                           explain                                            
+----------------------------------------------------------------------------------------------
+ Bitmap Heap Scan on moc100  (rows=1 width=341) (actual rows=28.00 loops=1)
+   Recheck Cond: (coverage @> '4/0'::smoc)
+   Rows Removed by Index Recheck: 1
+   Heap Blocks: exact=4
+   ->  Bitmap Index Scan on moc100_coverage_idx  (rows=1 width=0) (actual rows=29.00 loops=1)
+         Index Cond: (coverage @> '4/0'::smoc)
+(6 rows)
+
+SELECT explain ($$SELECT * FROM moc100 WHERE coverage = '0/0-11'$$);
+                                           explain                                            
+----------------------------------------------------------------------------------------------
+ Bitmap Heap Scan on moc100  (rows=1 width=341) (actual rows=23.00 loops=1)
+   Recheck Cond: (coverage = '0/0-11'::smoc)
+   Rows Removed by Index Recheck: 1
+   Heap Blocks: exact=2
+   ->  Bitmap Index Scan on moc100_coverage_idx  (rows=1 width=0) (actual rows=24.00 loops=1)
+         Index Cond: (coverage = '0/0-11'::smoc)
+(6 rows)
+
+SELECT explain ($$SELECT * FROM moc100 WHERE coverage = '6/43225,43227'$$);
+                                           explain                                            
+----------------------------------------------------------------------------------------------
+ Bitmap Heap Scan on moc100  (rows=1 width=341) (actual rows=1.00 loops=1)
+   Recheck Cond: (coverage = '6/43225 43227'::smoc)
+   Rows Removed by Index Recheck: 28
+   Heap Blocks: exact=3
+   ->  Bitmap Index Scan on moc100_coverage_idx  (rows=1 width=0) (actual rows=29.00 loops=1)
+         Index Cond: (coverage = '6/43225 43227'::smoc)
+(6 rows)
+
+SELECT explain ($$SELECT * FROM moc100 WHERE coverage = '0/'$$);
+                                           explain                                           
+---------------------------------------------------------------------------------------------
+ Bitmap Heap Scan on moc100  (rows=1 width=341) (actual rows=1.00 loops=1)
+   Recheck Cond: (coverage = '0/'::smoc)
+   Heap Blocks: exact=1
+   ->  Bitmap Index Scan on moc100_coverage_idx  (rows=1 width=0) (actual rows=1.00 loops=1)
+         Index Cond: (coverage = '0/'::smoc)
+(5 rows)
+
+SELECT explain ($$SELECT * FROM moc100 WHERE coverage <> '0/0-11'$$);
+                                             explain                                             
+-------------------------------------------------------------------------------------------------
+ Bitmap Heap Scan on moc100  (rows=100 width=341) (actual rows=78.00 loops=1)
+   Recheck Cond: (coverage <> '0/0-11'::smoc)
+   Rows Removed by Index Recheck: 23
+   Heap Blocks: exact=5
+   ->  Bitmap Index Scan on moc100_coverage_idx  (rows=100 width=0) (actual rows=101.00 loops=1)
+         Index Cond: (coverage <> '0/0-11'::smoc)
+(6 rows)
+
+SELECT explain ($$SELECT * FROM moc100 WHERE coverage <> '6/43225,43227'$$);
+                                             explain                                             
+-------------------------------------------------------------------------------------------------
+ Bitmap Heap Scan on moc100  (rows=100 width=341) (actual rows=100.00 loops=1)
+   Recheck Cond: (coverage <> '6/43225 43227'::smoc)
+   Rows Removed by Index Recheck: 1
+   Heap Blocks: exact=5
+   ->  Bitmap Index Scan on moc100_coverage_idx  (rows=100 width=0) (actual rows=101.00 loops=1)
+         Index Cond: (coverage <> '6/43225 43227'::smoc)
+(6 rows)
+
+SELECT explain ($$SELECT * FROM moc100 WHERE coverage <> '0/'$$);
+                                             explain                                             
+-------------------------------------------------------------------------------------------------
+ Bitmap Heap Scan on moc100  (rows=100 width=341) (actual rows=100.00 loops=1)
+   Recheck Cond: (coverage <> '0/'::smoc)
+   Rows Removed by Index Recheck: 1
+   Heap Blocks: exact=5
+   ->  Bitmap Index Scan on moc100_coverage_idx  (rows=100 width=0) (actual rows=101.00 loops=1)
+         Index Cond: (coverage <> '0/'::smoc)
+(6 rows)
+
diff --git a/expected/moc1_1.out b/expected/moc1_1.out
new file mode 100644
index 0000000..b014ab2
--- /dev/null
+++ b/expected/moc1_1.out
@@ -0,0 +1,120 @@
+CREATE TABLE moc1 (
+	ivoid text,
+	coverage smoc,
+	ref_system_name text
+);
+INSERT INTO moc1 VALUES (
+	'ivo://cds.vizier/j/apjs/241/12',
+	'4/994,2432-2433 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147,49151',
+	NULL);
+-- seed shared_buffers
+VACUUM ANALYZE moc1;
+SELECT length(coverage::text) FROM moc1;
+ length 
+--------
+  82727
+(1 row)
+
+-- verify that equality doesn't read the whole toasted value
+EXPLAIN (ANALYZE, BUFFERS, TIMING OFF, SUMMARY OFF)
+	SELECT coverage FROM moc1 WHERE coverage = '0/';
+                                   QUERY PLAN                                   
+--------------------------------------------------------------------------------
+ Seq Scan on moc1  (cost=0.00..1.01 rows=1 width=18) (actual rows=0.00 loops=1)
+   Filter: (coverage = '0/'::smoc)
+   Rows Removed by Filter: 1
+   Buffers: shared hit=3
+(4 rows)
+
+EXPLAIN (ANALYZE, BUFFERS, TIMING OFF, SUMMARY OFF)
+	SELECT coverage FROM moc1 WHERE coverage && '0/';
+                                   QUERY PLAN                                   
+--------------------------------------------------------------------------------
+ Seq Scan on moc1  (cost=0.00..1.01 rows=1 width=18) (actual rows=0.00 loops=1)
+   Filter: (coverage && '0/'::smoc)
+   Rows Removed by Filter: 1
+   Buffers: shared hit=3
+(4 rows)
+
+EXPLAIN (ANALYZE, BUFFERS, TIMING OFF, SUMMARY OFF)
+	SELECT coverage FROM moc1 WHERE coverage && '0/1';
+                                   QUERY PLAN                                   
+--------------------------------------------------------------------------------
+ Seq Scan on moc1  (cost=0.00..1.01 rows=1 width=18) (actual rows=1.00 loops=1)
+   Filter: (coverage && '0/1'::smoc)
+   Buffers: shared hit=25
+(3 rows)
+
+EXPLAIN (ANALYZE, BUFFERS, TIMING OFF, SUMMARY OFF)
+	SELECT coverage FROM moc1 WHERE coverage && '0/0-11';
+                                   QUERY PLAN                                   
+--------------------------------------------------------------------------------
+ Seq Scan on moc1  (cost=0.00..1.01 rows=1 width=18) (actual rows=1.00 loops=1)
+   Filter: (coverage && '0/0-11'::smoc)
+   Buffers: shared hit=3
+(3 rows)
+
+EXPLAIN (ANALYZE, BUFFERS, TIMING OFF, SUMMARY OFF)
+	SELECT coverage FROM moc1 WHERE coverage @> '0/';
+                                   QUERY PLAN                                   
+--------------------------------------------------------------------------------
+ Seq Scan on moc1  (cost=0.00..1.01 rows=1 width=18) (actual rows=1.00 loops=1)
+   Filter: (coverage @> '0/'::smoc)
+   Buffers: shared hit=3
+(3 rows)
+
+EXPLAIN (ANALYZE, BUFFERS, TIMING OFF, SUMMARY OFF)
+	SELECT coverage FROM moc1 WHERE coverage <@ '0/';
+                                   QUERY PLAN                                   
+--------------------------------------------------------------------------------
+ Seq Scan on moc1  (cost=0.00..1.01 rows=1 width=18) (actual rows=0.00 loops=1)
+   Filter: (coverage <@ '0/'::smoc)
+   Rows Removed by Filter: 1
+   Buffers: shared hit=3
+(4 rows)
+
+EXPLAIN (ANALYZE, BUFFERS, TIMING OFF, SUMMARY OFF)
+	SELECT coverage FROM moc1 WHERE coverage @> '0/1';
+                                   QUERY PLAN                                   
+--------------------------------------------------------------------------------
+ Seq Scan on moc1  (cost=0.00..1.01 rows=1 width=18) (actual rows=0.00 loops=1)
+   Filter: (coverage @> '0/1'::smoc)
+   Rows Removed by Filter: 1
+   Buffers: shared hit=25
+(4 rows)
+
+EXPLAIN (ANALYZE, BUFFERS, TIMING OFF, SUMMARY OFF)
+	SELECT coverage FROM moc1 WHERE coverage <@ '0/1';
+                                   QUERY PLAN                                   
+--------------------------------------------------------------------------------
+ Seq Scan on moc1  (cost=0.00..1.01 rows=1 width=18) (actual rows=0.00 loops=1)
+   Filter: (coverage <@ '0/1'::smoc)
+   Rows Removed by Filter: 1
+   Buffers: shared hit=3
+(4 rows)
+
+EXPLAIN (ANALYZE, BUFFERS, TIMING OFF, SUMMARY OFF)
+	SELECT coverage FROM moc1 WHERE coverage @> '0/0-11';
+                                   QUERY PLAN                                   
+--------------------------------------------------------------------------------
+ Seq Scan on moc1  (cost=0.00..1.01 rows=1 width=18) (actual rows=0.00 loops=1)
+   Filter: (coverage @> '0/0-11'::smoc)
+   Rows Removed by Filter: 1
+   Buffers: shared hit=3
+(4 rows)
+
+EXPLAIN (ANALYZE, BUFFERS, TIMING OFF, SUMMARY OFF)
+	SELECT coverage FROM moc1 WHERE coverage <@ '0/0-11';
+                                   QUERY PLAN                                   
+--------------------------------------------------------------------------------
+ Seq Scan on moc1  (cost=0.00..1.01 rows=1 width=18) (actual rows=1.00 loops=1)
+   Filter: (coverage <@ '0/0-11'::smoc)
+   Buffers: shared hit=3
+(3 rows)
+
+SELECT smoc_degrade(4, coverage) FROM moc1;
+                                                                                                                                                                                                                                                                                                                                                                                                                                                           smoc_degrade                                                                                                                                                                                                                                                                                                                                                                                                                                                           
+----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
+ 0/3 8-9 1/2-3 5 7 9 11 20 29 31 40 42 44-45 2/5-7 25-27 32-33 35 41-43 64-66 68-69 74-75 77-79 84-86 89-92 96-97 101 103-104 106 109-111 115 121-123 164-166 172 184-186 188 3/0-1 10-11 13-15 17-19 64 66 69 71 77-79 97-99 136-137 139 161-163 268-270 280 295 306-307 348-350 353-355 372 376 383 393-396 398 409 411 420 422 433 435 448 455 459 481-483 668-670 696 701 703 748-750 756-757 766-767 4/8-10 12 16-18 30-31 38-39 49-51 67 260 262 268 281 283 288 290 301 303 305-307 387 552-553 555 640 642-643 1084-1085 1124-1126 1136-1137 1150-1153 1166-1167 1177-1179 1218-1219 1221-1223 1404-1406 1408-1409 1411 1492 1496 1508 1512 1525-1527 1529-1531 1568 1570-1571 1588 1590 1596 1598 1600 1602 1613 1615 1712 1714 1725 1727 1729 1731 1737-1739 1796-1798 1800-1802 1815 1819 1824 1831 1835 1921-1923 2768-2770 2781-2783 2788 2792 2794-2795 2803 2809 2811 3004 3032 3040-3042 3054-3055 3059 3062-3063
+(1 row)
+
diff --git a/expected/moc_options.out b/expected/moc_options.out
index 2342b79..386f433 100644
--- a/expected/moc_options.out
+++ b/expected/moc_options.out
@@ -2,7 +2,7 @@ create table moc_opt (m smoc);
 insert into moc_opt select format('9/%s', i)::smoc from generate_series(1, 1000) g(i);
 analyze moc_opt;
 create index moc_opt5 on moc_opt using gin (m);
-explain (analyze, costs off, timing off, summary off) select * from moc_opt where m && '9/1';
+explain (analyze, costs off, timing off, summary off, buffers off) select * from moc_opt where m && '9/1';
                           QUERY PLAN                           
 ---------------------------------------------------------------
  Bitmap Heap Scan on moc_opt (actual rows=1 loops=1)
@@ -15,7 +15,7 @@ explain (analyze, costs off, timing off, summary off) select * from moc_opt wher
 
 drop index moc_opt5;
 create index moc_opt8 on moc_opt using gin (m smoc_gin_ops_fine);
-explain (analyze, costs off, timing off, summary off) select * from moc_opt where m && '9/1';
+explain (analyze, costs off, timing off, summary off, buffers off) select * from moc_opt where m && '9/1';
                          QUERY PLAN                          
 -------------------------------------------------------------
  Bitmap Heap Scan on moc_opt (actual rows=1 loops=1)
@@ -28,7 +28,7 @@ explain (analyze, costs off, timing off, summary off) select * from moc_opt wher
 
 drop index moc_opt8;
 create index moc_opt9 on moc_opt using gin (m smoc_gin_ops (order = 9));
-explain (analyze, costs off, timing off, summary off) select * from moc_opt where m && '9/1';
+explain (analyze, costs off, timing off, summary off, buffers off) select * from moc_opt where m && '9/1';
                          QUERY PLAN                          
 -------------------------------------------------------------
  Bitmap Heap Scan on moc_opt (actual rows=1 loops=1)
diff --git a/expected/moc_options_1.out b/expected/moc_options_1.out
new file mode 100644
index 0000000..55d1fd9
--- /dev/null
+++ b/expected/moc_options_1.out
@@ -0,0 +1,43 @@
+create table moc_opt (m smoc);
+insert into moc_opt select format('9/%s', i)::smoc from generate_series(1, 1000) g(i);
+analyze moc_opt;
+create index moc_opt5 on moc_opt using gin (m);
+explain (analyze, costs off, timing off, summary off, buffers off) select * from moc_opt where m && '9/1';
+                            QUERY PLAN                            
+------------------------------------------------------------------
+ Bitmap Heap Scan on moc_opt (actual rows=1.00 loops=1)
+   Recheck Cond: (m && '9/1'::smoc)
+   Rows Removed by Index Recheck: 254
+   Heap Blocks: exact=4
+   ->  Bitmap Index Scan on moc_opt5 (actual rows=255.00 loops=1)
+         Index Cond: (m && '9/1'::smoc)
+         Index Searches: 1
+(7 rows)
+
+drop index moc_opt5;
+create index moc_opt8 on moc_opt using gin (m smoc_gin_ops_fine);
+explain (analyze, costs off, timing off, summary off, buffers off) select * from moc_opt where m && '9/1';
+                           QUERY PLAN                           
+----------------------------------------------------------------
+ Bitmap Heap Scan on moc_opt (actual rows=1.00 loops=1)
+   Recheck Cond: (m && '9/1'::smoc)
+   Rows Removed by Index Recheck: 2
+   Heap Blocks: exact=1
+   ->  Bitmap Index Scan on moc_opt8 (actual rows=3.00 loops=1)
+         Index Cond: (m && '9/1'::smoc)
+         Index Searches: 1
+(7 rows)
+
+drop index moc_opt8;
+create index moc_opt9 on moc_opt using gin (m smoc_gin_ops (order = 9));
+explain (analyze, costs off, timing off, summary off, buffers off) select * from moc_opt where m && '9/1';
+                           QUERY PLAN                           
+----------------------------------------------------------------
+ Bitmap Heap Scan on moc_opt (actual rows=1.00 loops=1)
+   Recheck Cond: (m && '9/1'::smoc)
+   Heap Blocks: exact=1
+   ->  Bitmap Index Scan on moc_opt9 (actual rows=1.00 loops=1)
+         Index Cond: (m && '9/1'::smoc)
+         Index Searches: 1
+(6 rows)
+
diff --git a/expected/selectivity.out b/expected/selectivity.out
index e694f0f..44a25e3 100644
--- a/expected/selectivity.out
+++ b/expected/selectivity.out
@@ -9,7 +9,8 @@ create or replace function explain(query text, do_analyze text default 'true') r
 declare
   line text;
 begin
-  for line in execute format('explain (analyze %s, timing off, summary off) %s', do_analyze, query) loop
+  for line in execute format('explain (analyze %s, timing off, summary off, buffers off) %s', do_analyze, query) loop
+    continue when (line ~ ' +Index Searches: .*');
     return next regexp_replace(line, 'cost=\S+ ', '');
   end loop;
   return;
diff --git a/expected/selectivity_1.out b/expected/selectivity_1.out
index 08cd8f7..1d89c0d 100644
--- a/expected/selectivity_1.out
+++ b/expected/selectivity_1.out
@@ -9,7 +9,8 @@ create or replace function explain(query text, do_analyze text default 'true') r
 declare
   line text;
 begin
-  for line in execute format('explain (analyze %s, timing off, summary off) %s', do_analyze, query) loop
+  for line in execute format('explain (analyze %s, timing off, summary off, buffers off) %s', do_analyze, query) loop
+    continue when (line ~ ' +Index Searches: .*');
     return next regexp_replace(line, 'cost=\S+ ', '');
   end loop;
   return;
diff --git a/expected/selectivity_2.out b/expected/selectivity_2.out
new file mode 100644
index 0000000..89b3974
--- /dev/null
+++ b/expected/selectivity_2.out
@@ -0,0 +1,125 @@
+-- test selectivity estimator functions
+create table spoint10k (star spoint);
+insert into spoint10k select spoint(i, i*i) from generate_series(1, 10000) g(i);
+create index on spoint10k using gist (star);
+analyze spoint10k;
+-- "explain analyze" wrapper that removes 'cost=...' since it varies across architectures
+-- (we can't use "costs off" since that also removes the estimated row count)
+create or replace function explain(query text, do_analyze text default 'true') returns setof text language plpgsql as $$
+declare
+  line text;
+begin
+  for line in execute format('explain (analyze %s, timing off, summary off, buffers off) %s', do_analyze, query) loop
+    continue when (line ~ ' +Index Searches: .*');
+    return next regexp_replace(line, 'cost=\S+ ', '');
+  end loop;
+  return;
+end;
+$$;
+-- <@ operator selectivity
+select explain('select * from spoint10k where star <@ scircle(spoint(1,1), 1)');
+                                             explain                                              
+--------------------------------------------------------------------------------------------------
+ Bitmap Heap Scan on spoint10k  (rows=2298 width=16) (actual rows=3009.00 loops=1)
+   Recheck Cond: (star <@ '<(1 , 1) , 1>'::scircle)
+   Rows Removed by Index Recheck: 1560
+   Heap Blocks: exact=55
+   ->  Bitmap Index Scan on spoint10k_star_idx  (rows=2298 width=0) (actual rows=4569.00 loops=1)
+         Index Cond: (star <@ '<(1 , 1) , 1>'::scircle)
+(6 rows)
+
+select explain('select * from spoint10k where star <@ scircle(spoint(1,1), .1)');
+                                           explain                                            
+----------------------------------------------------------------------------------------------
+ Bitmap Heap Scan on spoint10k  (rows=25 width=16) (actual rows=29.00 loops=1)
+   Recheck Cond: (star <@ '<(1 , 1) , 0.1>'::scircle)
+   Rows Removed by Index Recheck: 19
+   Heap Blocks: exact=32
+   ->  Bitmap Index Scan on spoint10k_star_idx  (rows=25 width=0) (actual rows=48.00 loops=1)
+         Index Cond: (star <@ '<(1 , 1) , 0.1>'::scircle)
+(6 rows)
+
+select explain('select * from spoint10k where star <@ scircle(spoint(1,1), .01)');
+                                            explain                                             
+------------------------------------------------------------------------------------------------
+ Index Scan using spoint10k_star_idx on spoint10k  (rows=1 width=16) (actual rows=1.00 loops=1)
+   Index Cond: (star <@ '<(1 , 1) , 0.01>'::scircle)
+(2 rows)
+
+select explain('select * from spoint10k where scircle(spoint(1,1), 1) @> star');
+                                             explain                                              
+--------------------------------------------------------------------------------------------------
+ Bitmap Heap Scan on spoint10k  (rows=2298 width=16) (actual rows=3009.00 loops=1)
+   Recheck Cond: ('<(1 , 1) , 1>'::scircle @> star)
+   Rows Removed by Index Recheck: 1560
+   Heap Blocks: exact=55
+   ->  Bitmap Index Scan on spoint10k_star_idx  (rows=2298 width=0) (actual rows=4569.00 loops=1)
+         Index Cond: (star <@ '<(1 , 1) , 1>'::scircle)
+(6 rows)
+
+select explain('select * from spoint10k where scircle(spoint(1,1), .1) @> star');
+                                           explain                                            
+----------------------------------------------------------------------------------------------
+ Bitmap Heap Scan on spoint10k  (rows=25 width=16) (actual rows=29.00 loops=1)
+   Recheck Cond: ('<(1 , 1) , 0.1>'::scircle @> star)
+   Rows Removed by Index Recheck: 19
+   Heap Blocks: exact=32
+   ->  Bitmap Index Scan on spoint10k_star_idx  (rows=25 width=0) (actual rows=48.00 loops=1)
+         Index Cond: (star <@ '<(1 , 1) , 0.1>'::scircle)
+(6 rows)
+
+select explain('select * from spoint10k where scircle(spoint(1,1), .01) @> star');
+                                            explain                                             
+------------------------------------------------------------------------------------------------
+ Index Scan using spoint10k_star_idx on spoint10k  (rows=1 width=16) (actual rows=1.00 loops=1)
+   Index Cond: (star <@ '<(1 , 1) , 0.01>'::scircle)
+(2 rows)
+
+select explain('select * from spoint10k where star !<@ scircle(spoint(1,1), 1)');
+                                  explain                                  
+---------------------------------------------------------------------------
+ Seq Scan on spoint10k  (rows=7702 width=16) (actual rows=6991.00 loops=1)
+   Filter: (star !<@ '<(1 , 1) , 1>'::scircle)
+   Rows Removed by Filter: 3009
+(3 rows)
+
+select explain('select * from spoint10k where star !<@ scircle(spoint(1,1), .1)');
+                                  explain                                  
+---------------------------------------------------------------------------
+ Seq Scan on spoint10k  (rows=9975 width=16) (actual rows=9971.00 loops=1)
+   Filter: (star !<@ '<(1 , 1) , 0.1>'::scircle)
+   Rows Removed by Filter: 29
+(3 rows)
+
+select explain('select * from spoint10k where star !<@ scircle(spoint(1,1), .01)');
+                                  explain                                   
+----------------------------------------------------------------------------
+ Seq Scan on spoint10k  (rows=10000 width=16) (actual rows=9999.00 loops=1)
+   Filter: (star !<@ '<(1 , 1) , 0.01>'::scircle)
+   Rows Removed by Filter: 1
+(3 rows)
+
+select explain('select * from spoint10k where scircle(spoint(1,1), 1) !@> star');
+                                  explain                                  
+---------------------------------------------------------------------------
+ Seq Scan on spoint10k  (rows=7702 width=16) (actual rows=6991.00 loops=1)
+   Filter: ('<(1 , 1) , 1>'::scircle !@> star)
+   Rows Removed by Filter: 3009
+(3 rows)
+
+select explain('select * from spoint10k where scircle(spoint(1,1), .1) !@> star');
+                                  explain                                  
+---------------------------------------------------------------------------
+ Seq Scan on spoint10k  (rows=9975 width=16) (actual rows=9971.00 loops=1)
+   Filter: ('<(1 , 1) , 0.1>'::scircle !@> star)
+   Rows Removed by Filter: 29
+(3 rows)
+
+select explain('select * from spoint10k where scircle(spoint(1,1), .01) !@> star');
+                                  explain                                   
+----------------------------------------------------------------------------
+ Seq Scan on spoint10k  (rows=10000 width=16) (actual rows=9999.00 loops=1)
+   Filter: ('<(1 , 1) , 0.01>'::scircle !@> star)
+   Rows Removed by Filter: 1
+(3 rows)
+
diff --git a/sql/moc_options.sql b/sql/moc_options.sql
index 5041f65..f697ffd 100644
--- a/sql/moc_options.sql
+++ b/sql/moc_options.sql
@@ -3,12 +3,12 @@ insert into moc_opt select format('9/%s', i)::smoc from generate_series(1, 1000)
 analyze moc_opt;
 
 create index moc_opt5 on moc_opt using gin (m);
-explain (analyze, costs off, timing off, summary off) select * from moc_opt where m && '9/1';
+explain (analyze, costs off, timing off, summary off, buffers off) select * from moc_opt where m && '9/1';
 drop index moc_opt5;
 
 create index moc_opt8 on moc_opt using gin (m smoc_gin_ops_fine);
-explain (analyze, costs off, timing off, summary off) select * from moc_opt where m && '9/1';
+explain (analyze, costs off, timing off, summary off, buffers off) select * from moc_opt where m && '9/1';
 drop index moc_opt8;
 
 create index moc_opt9 on moc_opt using gin (m smoc_gin_ops (order = 9));
-explain (analyze, costs off, timing off, summary off) select * from moc_opt where m && '9/1';
+explain (analyze, costs off, timing off, summary off, buffers off) select * from moc_opt where m && '9/1';
diff --git a/sql/selectivity.sql b/sql/selectivity.sql
index d0f1d6e..7601714 100644
--- a/sql/selectivity.sql
+++ b/sql/selectivity.sql
@@ -11,7 +11,8 @@ create or replace function explain(query text, do_analyze text default 'true') r
 declare
   line text;
 begin
-  for line in execute format('explain (analyze %s, timing off, summary off) %s', do_analyze, query) loop
+  for line in execute format('explain (analyze %s, timing off, summary off, buffers off) %s', do_analyze, query) loop
+    continue when (line ~ ' +Index Searches: .*');
     return next regexp_replace(line, 'cost=\S+ ', '');
   end loop;
   return;