Bug#49742: Partition Pruning not working correctly for RANGE

Problem was when calculating the range of partitions for
pruning.

Solution was to get the calculation correct. I also simplified
it a bit for easier understanding.

mysql-test/r/partition_pruning.result:
  Bug#49742: Partition Pruning not working correctly for RANGE
  
  Added results.
mysql-test/t/partition_pruning.test:
  Bug#49742: Partition Pruning not working correctly for RANGE
  
  Added tests to prevent regressions.
sql/sql_partition.cc:
  Bug#49742: Partition Pruning not working correctly for RANGE
  
  Simplified calculation for partition id for ranges.
  Easier to get right and understand.
  
  Added comments.

1 files changed, 611 insertions, 1 deletions

diff --git a/mysql-test/r/partition_pruning.result b/mysql-test/r/partition_pruning.result
index 3128c57b2cf..cf0474a3f6b 100644
--- a/mysql-test/r/partition_pruning.result
+++ b/mysql-test/r/partition_pruning.result
@@ -1,4 +1,614 @@
 drop table if exists t1,t2,t3,t4,t5,t6,t7,t8,t9;
+#
+# Bug#49742: Partition Pruning not working correctly for RANGE
+#
+CREATE TABLE t1 (a INT PRIMARY KEY)
+PARTITION BY RANGE (a) (
+PARTITION p0 VALUES LESS THAN (1),
+PARTITION p1 VALUES LESS THAN (2),
+PARTITION p2 VALUES LESS THAN (3),
+PARTITION p3 VALUES LESS THAN (4),
+PARTITION p4 VALUES LESS THAN (5),
+PARTITION p5 VALUES LESS THAN (6),
+PARTITION max VALUES LESS THAN MAXVALUE);
+INSERT INTO t1 VALUES (-1),(0),(1),(2),(3),(4),(5),(6),(7),(8);
+SELECT * FROM t1 WHERE a < 1;
+a
+-1
+0
+EXPLAIN PARTITIONS SELECT * FROM t1 WHERE a < 1;
+id	select_type	table	partitions	type	possible_keys	key	key_len	ref	rows	Extra
+1	SIMPLE	t1	p0	index	PRIMARY	PRIMARY	4	NULL	2	Using where; Using index
+SELECT * FROM t1 WHERE a < 2;
+a
+-1
+0
+1
+EXPLAIN PARTITIONS SELECT * FROM t1 WHERE a < 2;
+id	select_type	table	partitions	type	possible_keys	key	key_len	ref	rows	Extra
+1	SIMPLE	t1	p0,p1	index	PRIMARY	PRIMARY	4	NULL	3	Using where; Using index
+SELECT * FROM t1 WHERE a < 3;
+a
+-1
+0
+1
+2
+EXPLAIN PARTITIONS SELECT * FROM t1 WHERE a < 3;
+id	select_type	table	partitions	type	possible_keys	key	key_len	ref	rows	Extra
+1	SIMPLE	t1	p0,p1,p2	index	PRIMARY	PRIMARY	4	NULL	4	Using where; Using index
+SELECT * FROM t1 WHERE a < 4;
+a
+-1
+0
+1
+2
+3
+EXPLAIN PARTITIONS SELECT * FROM t1 WHERE a < 4;
+id	select_type	table	partitions	type	possible_keys	key	key_len	ref	rows	Extra
+1	SIMPLE	t1	p0,p1,p2,p3	index	PRIMARY	PRIMARY	4	NULL	5	Using where; Using index
+SELECT * FROM t1 WHERE a < 5;
+a
+-1
+0
+1
+2
+3
+4
+EXPLAIN PARTITIONS SELECT * FROM t1 WHERE a < 5;
+id	select_type	table	partitions	type	possible_keys	key	key_len	ref	rows	Extra
+1	SIMPLE	t1	p0,p1,p2,p3,p4	index	PRIMARY	PRIMARY	4	NULL	6	Using where; Using index
+SELECT * FROM t1 WHERE a < 6;
+a
+-1
+0
+1
+2
+3
+4
+5
+EXPLAIN PARTITIONS SELECT * FROM t1 WHERE a < 6;
+id	select_type	table	partitions	type	possible_keys	key	key_len	ref	rows	Extra
+1	SIMPLE	t1	p0,p1,p2,p3,p4,p5	index	PRIMARY	PRIMARY	4	NULL	7	Using where; Using index
+SELECT * FROM t1 WHERE a < 7;
+a
+-1
+0
+1
+2
+3
+4
+5
+6
+EXPLAIN PARTITIONS SELECT * FROM t1 WHERE a < 7;
+id	select_type	table	partitions	type	possible_keys	key	key_len	ref	rows	Extra
+1	SIMPLE	t1	p0,p1,p2,p3,p4,p5,max	range	PRIMARY	PRIMARY	4	NULL	9	Using where; Using index
+SELECT * FROM t1 WHERE a <= 1;
+a
+-1
+0
+1
+EXPLAIN PARTITIONS SELECT * FROM t1 WHERE a <= 1;
+id	select_type	table	partitions	type	possible_keys	key	key_len	ref	rows	Extra
+1	SIMPLE	t1	p0,p1	index	PRIMARY	PRIMARY	4	NULL	10	Using where; Using index
+SELECT * FROM t1 WHERE a <= 2;
+a
+-1
+0
+1
+2
+EXPLAIN PARTITIONS SELECT * FROM t1 WHERE a <= 2;
+id	select_type	table	partitions	type	possible_keys	key	key_len	ref	rows	Extra
+1	SIMPLE	t1	p0,p1,p2	index	PRIMARY	PRIMARY	4	NULL	10	Using where; Using index
+SELECT * FROM t1 WHERE a <= 3;
+a
+-1
+0
+1
+2
+3
+EXPLAIN PARTITIONS SELECT * FROM t1 WHERE a <= 3;
+id	select_type	table	partitions	type	possible_keys	key	key_len	ref	rows	Extra
+1	SIMPLE	t1	p0,p1,p2,p3	index	PRIMARY	PRIMARY	4	NULL	10	Using where; Using index
+SELECT * FROM t1 WHERE a <= 4;
+a
+-1
+0
+1
+2
+3
+4
+EXPLAIN PARTITIONS SELECT * FROM t1 WHERE a <= 4;
+id	select_type	table	partitions	type	possible_keys	key	key_len	ref	rows	Extra
+1	SIMPLE	t1	p0,p1,p2,p3,p4	index	PRIMARY	PRIMARY	4	NULL	10	Using where; Using index
+SELECT * FROM t1 WHERE a <= 5;
+a
+-1
+0
+1
+2
+3
+4
+5
+EXPLAIN PARTITIONS SELECT * FROM t1 WHERE a <= 5;
+id	select_type	table	partitions	type	possible_keys	key	key_len	ref	rows	Extra
+1	SIMPLE	t1	p0,p1,p2,p3,p4,p5	index	PRIMARY	PRIMARY	4	NULL	10	Using where; Using index
+SELECT * FROM t1 WHERE a <= 6;
+a
+-1
+0
+1
+2
+3
+4
+5
+6
+EXPLAIN PARTITIONS SELECT * FROM t1 WHERE a <= 6;
+id	select_type	table	partitions	type	possible_keys	key	key_len	ref	rows	Extra
+1	SIMPLE	t1	p0,p1,p2,p3,p4,p5,max	range	PRIMARY	PRIMARY	4	NULL	9	Using where; Using index
+SELECT * FROM t1 WHERE a <= 7;
+a
+-1
+0
+1
+2
+3
+4
+5
+6
+7
+EXPLAIN PARTITIONS SELECT * FROM t1 WHERE a <= 7;
+id	select_type	table	partitions	type	possible_keys	key	key_len	ref	rows	Extra
+1	SIMPLE	t1	p0,p1,p2,p3,p4,p5,max	range	PRIMARY	PRIMARY	4	NULL	9	Using where; Using index
+SELECT * FROM t1 WHERE a = 1;
+a
+1
+EXPLAIN PARTITIONS SELECT * FROM t1 WHERE a = 1;
+id	select_type	table	partitions	type	possible_keys	key	key_len	ref	rows	Extra
+1	SIMPLE	t1	p1	system	PRIMARY	NULL	NULL	NULL	1	
+SELECT * FROM t1 WHERE a = 2;
+a
+2
+EXPLAIN PARTITIONS SELECT * FROM t1 WHERE a = 2;
+id	select_type	table	partitions	type	possible_keys	key	key_len	ref	rows	Extra
+1	SIMPLE	t1	p2	system	PRIMARY	NULL	NULL	NULL	1	
+SELECT * FROM t1 WHERE a = 3;
+a
+3
+EXPLAIN PARTITIONS SELECT * FROM t1 WHERE a = 3;
+id	select_type	table	partitions	type	possible_keys	key	key_len	ref	rows	Extra
+1	SIMPLE	t1	p3	system	PRIMARY	NULL	NULL	NULL	1	
+SELECT * FROM t1 WHERE a = 4;
+a
+4
+EXPLAIN PARTITIONS SELECT * FROM t1 WHERE a = 4;
+id	select_type	table	partitions	type	possible_keys	key	key_len	ref	rows	Extra
+1	SIMPLE	t1	p4	system	PRIMARY	NULL	NULL	NULL	1	
+SELECT * FROM t1 WHERE a = 5;
+a
+5
+EXPLAIN PARTITIONS SELECT * FROM t1 WHERE a = 5;
+id	select_type	table	partitions	type	possible_keys	key	key_len	ref	rows	Extra
+1	SIMPLE	t1	p5	system	PRIMARY	NULL	NULL	NULL	1	
+SELECT * FROM t1 WHERE a = 6;
+a
+6
+EXPLAIN PARTITIONS SELECT * FROM t1 WHERE a = 6;
+id	select_type	table	partitions	type	possible_keys	key	key_len	ref	rows	Extra
+1	SIMPLE	t1	max	const	PRIMARY	PRIMARY	4	const	1	Using index
+SELECT * FROM t1 WHERE a = 7;
+a
+7
+EXPLAIN PARTITIONS SELECT * FROM t1 WHERE a = 7;
+id	select_type	table	partitions	type	possible_keys	key	key_len	ref	rows	Extra
+1	SIMPLE	t1	max	const	PRIMARY	PRIMARY	4	const	1	Using index
+SELECT * FROM t1 WHERE a >= 1;
+a
+1
+2
+3
+4
+5
+6
+7
+8
+EXPLAIN PARTITIONS SELECT * FROM t1 WHERE a >= 1;
+id	select_type	table	partitions	type	possible_keys	key	key_len	ref	rows	Extra
+1	SIMPLE	t1	p1,p2,p3,p4,p5,max	index	PRIMARY	PRIMARY	4	NULL	10	Using where; Using index
+SELECT * FROM t1 WHERE a >= 2;
+a
+2
+3
+4
+5
+6
+7
+8
+EXPLAIN PARTITIONS SELECT * FROM t1 WHERE a >= 2;
+id	select_type	table	partitions	type	possible_keys	key	key_len	ref	rows	Extra
+1	SIMPLE	t1	p2,p3,p4,p5,max	index	PRIMARY	PRIMARY	4	NULL	10	Using where; Using index
+SELECT * FROM t1 WHERE a >= 3;
+a
+3
+4
+5
+6
+7
+8
+EXPLAIN PARTITIONS SELECT * FROM t1 WHERE a >= 3;
+id	select_type	table	partitions	type	possible_keys	key	key_len	ref	rows	Extra
+1	SIMPLE	t1	p3,p4,p5,max	index	PRIMARY	PRIMARY	4	NULL	10	Using where; Using index
+SELECT * FROM t1 WHERE a >= 4;
+a
+4
+5
+6
+7
+8
+EXPLAIN PARTITIONS SELECT * FROM t1 WHERE a >= 4;
+id	select_type	table	partitions	type	possible_keys	key	key_len	ref	rows	Extra
+1	SIMPLE	t1	p4,p5,max	index	PRIMARY	PRIMARY	4	NULL	10	Using where; Using index
+SELECT * FROM t1 WHERE a >= 5;
+a
+5
+6
+7
+8
+EXPLAIN PARTITIONS SELECT * FROM t1 WHERE a >= 5;
+id	select_type	table	partitions	type	possible_keys	key	key_len	ref	rows	Extra
+1	SIMPLE	t1	p5,max	index	PRIMARY	PRIMARY	4	NULL	10	Using where; Using index
+SELECT * FROM t1 WHERE a >= 6;
+a
+6
+7
+8
+EXPLAIN PARTITIONS SELECT * FROM t1 WHERE a >= 6;
+id	select_type	table	partitions	type	possible_keys	key	key_len	ref	rows	Extra
+1	SIMPLE	t1	max	index	PRIMARY	PRIMARY	4	NULL	10	Using where; Using index
+SELECT * FROM t1 WHERE a >= 7;
+a
+7
+8
+EXPLAIN PARTITIONS SELECT * FROM t1 WHERE a >= 7;
+id	select_type	table	partitions	type	possible_keys	key	key_len	ref	rows	Extra
+1	SIMPLE	t1	max	range	PRIMARY	PRIMARY	4	NULL	2	Using where; Using index
+SELECT * FROM t1 WHERE a > 1;
+a
+2
+3
+4
+5
+6
+7
+8
+EXPLAIN PARTITIONS SELECT * FROM t1 WHERE a > 1;
+id	select_type	table	partitions	type	possible_keys	key	key_len	ref	rows	Extra
+1	SIMPLE	t1	p2,p3,p4,p5,max	index	PRIMARY	PRIMARY	4	NULL	10	Using where; Using index
+SELECT * FROM t1 WHERE a > 2;
+a
+3
+4
+5
+6
+7
+8
+EXPLAIN PARTITIONS SELECT * FROM t1 WHERE a > 2;
+id	select_type	table	partitions	type	possible_keys	key	key_len	ref	rows	Extra
+1	SIMPLE	t1	p3,p4,p5,max	index	PRIMARY	PRIMARY	4	NULL	10	Using where; Using index
+SELECT * FROM t1 WHERE a > 3;
+a
+4
+5
+6
+7
+8
+EXPLAIN PARTITIONS SELECT * FROM t1 WHERE a > 3;
+id	select_type	table	partitions	type	possible_keys	key	key_len	ref	rows	Extra
+1	SIMPLE	t1	p4,p5,max	index	PRIMARY	PRIMARY	4	NULL	10	Using where; Using index
+SELECT * FROM t1 WHERE a > 4;
+a
+5
+6
+7
+8
+EXPLAIN PARTITIONS SELECT * FROM t1 WHERE a > 4;
+id	select_type	table	partitions	type	possible_keys	key	key_len	ref	rows	Extra
+1	SIMPLE	t1	p5,max	index	PRIMARY	PRIMARY	4	NULL	10	Using where; Using index
+SELECT * FROM t1 WHERE a > 5;
+a
+6
+7
+8
+EXPLAIN PARTITIONS SELECT * FROM t1 WHERE a > 5;
+id	select_type	table	partitions	type	possible_keys	key	key_len	ref	rows	Extra
+1	SIMPLE	t1	max	index	PRIMARY	PRIMARY	4	NULL	10	Using where; Using index
+SELECT * FROM t1 WHERE a > 6;
+a
+7
+8
+EXPLAIN PARTITIONS SELECT * FROM t1 WHERE a > 6;
+id	select_type	table	partitions	type	possible_keys	key	key_len	ref	rows	Extra
+1	SIMPLE	t1	max	range	PRIMARY	PRIMARY	4	NULL	2	Using where; Using index
+SELECT * FROM t1 WHERE a > 7;
+a
+8
+EXPLAIN PARTITIONS SELECT * FROM t1 WHERE a > 7;
+id	select_type	table	partitions	type	possible_keys	key	key_len	ref	rows	Extra
+1	SIMPLE	t1	max	range	PRIMARY	PRIMARY	4	NULL	2	Using where; Using index
+DROP TABLE t1;
+CREATE TABLE t1 (a INT PRIMARY KEY)
+PARTITION BY RANGE (a) (
+PARTITION p0 VALUES LESS THAN (1),
+PARTITION p1 VALUES LESS THAN (2),
+PARTITION p2 VALUES LESS THAN (3),
+PARTITION p3 VALUES LESS THAN (4),
+PARTITION p4 VALUES LESS THAN (5),
+PARTITION max VALUES LESS THAN MAXVALUE);
+INSERT INTO t1 VALUES (-1),(0),(1),(2),(3),(4),(5),(6),(7);
+SELECT * FROM t1 WHERE a < 1;
+a
+-1
+0
+EXPLAIN PARTITIONS SELECT * FROM t1 WHERE a < 1;
+id	select_type	table	partitions	type	possible_keys	key	key_len	ref	rows	Extra
+1	SIMPLE	t1	p0	index	PRIMARY	PRIMARY	4	NULL	2	Using where; Using index
+SELECT * FROM t1 WHERE a < 2;
+a
+-1
+0
+1
+EXPLAIN PARTITIONS SELECT * FROM t1 WHERE a < 2;
+id	select_type	table	partitions	type	possible_keys	key	key_len	ref	rows	Extra
+1	SIMPLE	t1	p0,p1	index	PRIMARY	PRIMARY	4	NULL	3	Using where; Using index
+SELECT * FROM t1 WHERE a < 3;
+a
+-1
+0
+1
+2
+EXPLAIN PARTITIONS SELECT * FROM t1 WHERE a < 3;
+id	select_type	table	partitions	type	possible_keys	key	key_len	ref	rows	Extra
+1	SIMPLE	t1	p0,p1,p2	index	PRIMARY	PRIMARY	4	NULL	4	Using where; Using index
+SELECT * FROM t1 WHERE a < 4;
+a
+-1
+0
+1
+2
+3
+EXPLAIN PARTITIONS SELECT * FROM t1 WHERE a < 4;
+id	select_type	table	partitions	type	possible_keys	key	key_len	ref	rows	Extra
+1	SIMPLE	t1	p0,p1,p2,p3	index	PRIMARY	PRIMARY	4	NULL	5	Using where; Using index
+SELECT * FROM t1 WHERE a < 5;
+a
+-1
+0
+1
+2
+3
+4
+EXPLAIN PARTITIONS SELECT * FROM t1 WHERE a < 5;
+id	select_type	table	partitions	type	possible_keys	key	key_len	ref	rows	Extra
+1	SIMPLE	t1	p0,p1,p2,p3,p4	index	PRIMARY	PRIMARY	4	NULL	6	Using where; Using index
+SELECT * FROM t1 WHERE a < 6;
+a
+-1
+0
+1
+2
+3
+4
+5
+EXPLAIN PARTITIONS SELECT * FROM t1 WHERE a < 6;
+id	select_type	table	partitions	type	possible_keys	key	key_len	ref	rows	Extra
+1	SIMPLE	t1	p0,p1,p2,p3,p4,max	range	PRIMARY	PRIMARY	4	NULL	8	Using where; Using index
+SELECT * FROM t1 WHERE a <= 1;
+a
+-1
+0
+1
+EXPLAIN PARTITIONS SELECT * FROM t1 WHERE a <= 1;
+id	select_type	table	partitions	type	possible_keys	key	key_len	ref	rows	Extra
+1	SIMPLE	t1	p0,p1	index	PRIMARY	PRIMARY	4	NULL	9	Using where; Using index
+SELECT * FROM t1 WHERE a <= 2;
+a
+-1
+0
+1
+2
+EXPLAIN PARTITIONS SELECT * FROM t1 WHERE a <= 2;
+id	select_type	table	partitions	type	possible_keys	key	key_len	ref	rows	Extra
+1	SIMPLE	t1	p0,p1,p2	index	PRIMARY	PRIMARY	4	NULL	9	Using where; Using index
+SELECT * FROM t1 WHERE a <= 3;
+a
+-1
+0
+1
+2
+3
+EXPLAIN PARTITIONS SELECT * FROM t1 WHERE a <= 3;
+id	select_type	table	partitions	type	possible_keys	key	key_len	ref	rows	Extra
+1	SIMPLE	t1	p0,p1,p2,p3	index	PRIMARY	PRIMARY	4	NULL	9	Using where; Using index
+SELECT * FROM t1 WHERE a <= 4;
+a
+-1
+0
+1
+2
+3
+4
+EXPLAIN PARTITIONS SELECT * FROM t1 WHERE a <= 4;
+id	select_type	table	partitions	type	possible_keys	key	key_len	ref	rows	Extra
+1	SIMPLE	t1	p0,p1,p2,p3,p4	index	PRIMARY	PRIMARY	4	NULL	9	Using where; Using index
+SELECT * FROM t1 WHERE a <= 5;
+a
+-1
+0
+1
+2
+3
+4
+5
+EXPLAIN PARTITIONS SELECT * FROM t1 WHERE a <= 5;
+id	select_type	table	partitions	type	possible_keys	key	key_len	ref	rows	Extra
+1	SIMPLE	t1	p0,p1,p2,p3,p4,max	range	PRIMARY	PRIMARY	4	NULL	8	Using where; Using index
+SELECT * FROM t1 WHERE a <= 6;
+a
+-1
+0
+1
+2
+3
+4
+5
+6
+EXPLAIN PARTITIONS SELECT * FROM t1 WHERE a <= 6;
+id	select_type	table	partitions	type	possible_keys	key	key_len	ref	rows	Extra
+1	SIMPLE	t1	p0,p1,p2,p3,p4,max	range	PRIMARY	PRIMARY	4	NULL	8	Using where; Using index
+SELECT * FROM t1 WHERE a = 1;
+a
+1
+EXPLAIN PARTITIONS SELECT * FROM t1 WHERE a = 1;
+id	select_type	table	partitions	type	possible_keys	key	key_len	ref	rows	Extra
+1	SIMPLE	t1	p1	system	PRIMARY	NULL	NULL	NULL	1	
+SELECT * FROM t1 WHERE a = 2;
+a
+2
+EXPLAIN PARTITIONS SELECT * FROM t1 WHERE a = 2;
+id	select_type	table	partitions	type	possible_keys	key	key_len	ref	rows	Extra
+1	SIMPLE	t1	p2	system	PRIMARY	NULL	NULL	NULL	1	
+SELECT * FROM t1 WHERE a = 3;
+a
+3
+EXPLAIN PARTITIONS SELECT * FROM t1 WHERE a = 3;
+id	select_type	table	partitions	type	possible_keys	key	key_len	ref	rows	Extra
+1	SIMPLE	t1	p3	system	PRIMARY	NULL	NULL	NULL	1	
+SELECT * FROM t1 WHERE a = 4;
+a
+4
+EXPLAIN PARTITIONS SELECT * FROM t1 WHERE a = 4;
+id	select_type	table	partitions	type	possible_keys	key	key_len	ref	rows	Extra
+1	SIMPLE	t1	p4	system	PRIMARY	NULL	NULL	NULL	1	
+SELECT * FROM t1 WHERE a = 5;
+a
+5
+EXPLAIN PARTITIONS SELECT * FROM t1 WHERE a = 5;
+id	select_type	table	partitions	type	possible_keys	key	key_len	ref	rows	Extra
+1	SIMPLE	t1	max	const	PRIMARY	PRIMARY	4	const	1	Using index
+SELECT * FROM t1 WHERE a = 6;
+a
+6
+EXPLAIN PARTITIONS SELECT * FROM t1 WHERE a = 6;
+id	select_type	table	partitions	type	possible_keys	key	key_len	ref	rows	Extra
+1	SIMPLE	t1	max	const	PRIMARY	PRIMARY	4	const	1	Using index
+SELECT * FROM t1 WHERE a >= 1;
+a
+1
+2
+3
+4
+5
+6
+7
+EXPLAIN PARTITIONS SELECT * FROM t1 WHERE a >= 1;
+id	select_type	table	partitions	type	possible_keys	key	key_len	ref	rows	Extra
+1	SIMPLE	t1	p1,p2,p3,p4,max	index	PRIMARY	PRIMARY	4	NULL	9	Using where; Using index
+SELECT * FROM t1 WHERE a >= 2;
+a
+2
+3
+4
+5
+6
+7
+EXPLAIN PARTITIONS SELECT * FROM t1 WHERE a >= 2;
+id	select_type	table	partitions	type	possible_keys	key	key_len	ref	rows	Extra
+1	SIMPLE	t1	p2,p3,p4,max	index	PRIMARY	PRIMARY	4	NULL	9	Using where; Using index
+SELECT * FROM t1 WHERE a >= 3;
+a
+3
+4
+5
+6
+7
+EXPLAIN PARTITIONS SELECT * FROM t1 WHERE a >= 3;
+id	select_type	table	partitions	type	possible_keys	key	key_len	ref	rows	Extra
+1	SIMPLE	t1	p3,p4,max	index	PRIMARY	PRIMARY	4	NULL	9	Using where; Using index
+SELECT * FROM t1 WHERE a >= 4;
+a
+4
+5
+6
+7
+EXPLAIN PARTITIONS SELECT * FROM t1 WHERE a >= 4;
+id	select_type	table	partitions	type	possible_keys	key	key_len	ref	rows	Extra
+1	SIMPLE	t1	p4,max	index	PRIMARY	PRIMARY	4	NULL	9	Using where; Using index
+SELECT * FROM t1 WHERE a >= 5;
+a
+5
+6
+7
+EXPLAIN PARTITIONS SELECT * FROM t1 WHERE a >= 5;
+id	select_type	table	partitions	type	possible_keys	key	key_len	ref	rows	Extra
+1	SIMPLE	t1	max	index	PRIMARY	PRIMARY	4	NULL	9	Using where; Using index
+SELECT * FROM t1 WHERE a >= 6;
+a
+6
+7
+EXPLAIN PARTITIONS SELECT * FROM t1 WHERE a >= 6;
+id	select_type	table	partitions	type	possible_keys	key	key_len	ref	rows	Extra
+1	SIMPLE	t1	max	range	PRIMARY	PRIMARY	4	NULL	2	Using where; Using index
+SELECT * FROM t1 WHERE a > 1;
+a
+2
+3
+4
+5
+6
+7
+EXPLAIN PARTITIONS SELECT * FROM t1 WHERE a > 1;
+id	select_type	table	partitions	type	possible_keys	key	key_len	ref	rows	Extra
+1	SIMPLE	t1	p2,p3,p4,max	index	PRIMARY	PRIMARY	4	NULL	9	Using where; Using index
+SELECT * FROM t1 WHERE a > 2;
+a
+3
+4
+5
+6
+7
+EXPLAIN PARTITIONS SELECT * FROM t1 WHERE a > 2;
+id	select_type	table	partitions	type	possible_keys	key	key_len	ref	rows	Extra
+1	SIMPLE	t1	p3,p4,max	index	PRIMARY	PRIMARY	4	NULL	9	Using where; Using index
+SELECT * FROM t1 WHERE a > 3;
+a
+4
+5
+6
+7
+EXPLAIN PARTITIONS SELECT * FROM t1 WHERE a > 3;
+id	select_type	table	partitions	type	possible_keys	key	key_len	ref	rows	Extra
+1	SIMPLE	t1	p4,max	index	PRIMARY	PRIMARY	4	NULL	9	Using where; Using index
+SELECT * FROM t1 WHERE a > 4;
+a
+5
+6
+7
+EXPLAIN PARTITIONS SELECT * FROM t1 WHERE a > 4;
+id	select_type	table	partitions	type	possible_keys	key	key_len	ref	rows	Extra
+1	SIMPLE	t1	max	index	PRIMARY	PRIMARY	4	NULL	9	Using where; Using index
+SELECT * FROM t1 WHERE a > 5;
+a
+6
+7
+EXPLAIN PARTITIONS SELECT * FROM t1 WHERE a > 5;
+id	select_type	table	partitions	type	possible_keys	key	key_len	ref	rows	Extra
+1	SIMPLE	t1	max	range	PRIMARY	PRIMARY	4	NULL	2	Using where; Using index
+SELECT * FROM t1 WHERE a > 6;
+a
+7
+EXPLAIN PARTITIONS SELECT * FROM t1 WHERE a > 6;
+id	select_type	table	partitions	type	possible_keys	key	key_len	ref	rows	Extra
+1	SIMPLE	t1	max	range	PRIMARY	PRIMARY	4	NULL	2	Using where; Using index
+DROP TABLE t1;
 # test of RANGE and index
 CREATE TABLE t1 (a DATE, KEY(a))
 PARTITION BY RANGE (TO_DAYS(a))
@@ -1816,7 +2426,7 @@ id	select_type	table	partitions	type	possible_keys	key	key_len	ref	rows	Extra
 1	SIMPLE	t2	p0,p4	ALL	NULL	NULL	NULL	NULL	910	Using where
 explain partitions select * from t2 where (a > 100 AND a < 600);
 id	select_type	table	partitions	type	possible_keys	key	key_len	ref	rows	Extra
-1	SIMPLE	t2	p0,p1,p2,p3	ALL	NULL	NULL	NULL	NULL	910	Using where
+1	SIMPLE	t2	p0,p1,p2	ALL	NULL	NULL	NULL	NULL	910	Using where
 explain partitions select * from t2 where b = 4;
 id	select_type	table	partitions	type	possible_keys	key	key_len	ref	rows	Extra
 1	SIMPLE	t2	p0,p1,p2,p3,p4	ref	b	b	5	const	76	Using where