Fixed Cardinality estimation with equality predicates between column of the same table

analyze test1 ;

explain  select * from test1 where state1=state1 ;
                        QUERY PLAN                       
----------------------------------------------------------
 Seq Scan on test1  (cost=0.00..359.00 rows=100 width=16)
   Filter: (state1 = state1)
(2 rows)

test3=# explain  select * from test1 where state2=state2 ;
                        QUERY PLAN                       
----------------------------------------------------------
 Seq Scan on test1  (cost=0.00..359.00 rows=100 width=16)
   Filter: (state2 = state2)
(2 rows)

/* between different columns of same table  */

test3=# explain  select * from test1 where state1=state2 ;
                        QUERY PLAN                       
----------------------------------------------------------
 Seq Scan on test1  (cost=0.00..359.00 rows=100 width=16)
   Filter: (state1 = state2)
(2 rows)

===================================================================

/* create a table with random data and 100000 rows to verify  */

create table test2 ( id int not null primary key, state1 int not null default 0, state2 int not null default 0, state3 int not null default 0 );

 insert into test2 (id, state1, state2, state3) select i, (random()*3)::int, (random())::int, (random()*100)::int from generate_series (1, 100000) as gs(i) ;

test3=#  analyze  test2 ;
ANALYZE
test3=# explain  select * from test2 where state1=state3;                        QUERY PLAN                        
-----------------------------------------------------------
 Seq Scan on test2  (cost=0.00..1791.00 rows=500 width=16)
   Filter: (state1 = state3)
(2 rows)

test3=# explain  select * from test2 where state1=state2;
                        QUERY PLAN                        
-----------------------------------------------------------
 Seq Scan on test2  (cost=0.00..1791.00 rows=500 width=16)
   Filter: (state1 = state2)
(2 rows)

test3=# explain  select * from test2 where state1=state1;
                        QUERY PLAN                        
-----------------------------------------------------------
 Seq Scan on test2  (cost=0.00..1791.00 rows=500 width=16)
   Filter: (state1 = state1)
(2 rows)

It's seems always 0.5% of the rows , and it seems indipendent of the type of data you have in row :

/*add a column where costant value named c3 */

 alter table test1 add c3 int default 1 ;
ALTER TABLE

analyze test1 ;
ANALYZE

explain  select * from test1  where state1=c3;
                        QUERY PLAN                       
----------------------------------------------------------
 Seq Scan on test1  (cost=0.00..378.00 rows=100 width=20)
   Filter: (state1 = c3)
(2 rows)

/*add a column where costant value named c3 */

 alter table test2 add c3 int default 1 ;
ALTER TABLE
 analyze test2 ;
ANALYZE
 explain  select * from test2  where state1=c3;
                        QUERY PLAN                        
-----------------------------------------------------------
 Seq Scan on test2  (cost=0.00..1887.00 rows=500 width=20)
   Filter: (state1 = c3)
(2 rows)

/* add another constant column */

test3=# alter table test2 add c4 int default 1 ;
ALTER TABLE
test3=# analyze test2 ;
ANALYZE
test3=# explain  select * from test2  where c3=c4 ;
                        QUERY PLAN                        
-----------------------------------------------------------
 Seq Scan on test2  (cost=0.00..1887.00 rows=500 width=24)
   Filter: (c3 = c4)

obviously the statistics are ok :

Always 0.5%.

Greetings

Matteo