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, 160 insertions, 0 deletions

diff --git a/mysql-test/t/partition_pruning.test b/mysql-test/t/partition_pruning.test
index 11e65be45fc..315b8393d93 100644
--- a/mysql-test/t/partition_pruning.test
+++ b/mysql-test/t/partition_pruning.test
@@ -8,6 +8,166 @@
 drop table if exists t1,t2,t3,t4,t5,t6,t7,t8,t9;
 --enable_warnings
 
+--echo #
+--echo # Bug#49742: Partition Pruning not working correctly for RANGE
+--echo #
+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;
+EXPLAIN PARTITIONS SELECT * FROM t1 WHERE a < 1;
+SELECT * FROM t1 WHERE a < 2;
+EXPLAIN PARTITIONS SELECT * FROM t1 WHERE a < 2;
+SELECT * FROM t1 WHERE a < 3;
+EXPLAIN PARTITIONS SELECT * FROM t1 WHERE a < 3;
+SELECT * FROM t1 WHERE a < 4;
+EXPLAIN PARTITIONS SELECT * FROM t1 WHERE a < 4;
+SELECT * FROM t1 WHERE a < 5;
+EXPLAIN PARTITIONS SELECT * FROM t1 WHERE a < 5;
+SELECT * FROM t1 WHERE a < 6;
+EXPLAIN PARTITIONS SELECT * FROM t1 WHERE a < 6;
+SELECT * FROM t1 WHERE a < 7;
+EXPLAIN PARTITIONS SELECT * FROM t1 WHERE a < 7;
+SELECT * FROM t1 WHERE a <= 1;
+EXPLAIN PARTITIONS SELECT * FROM t1 WHERE a <= 1;
+SELECT * FROM t1 WHERE a <= 2;
+EXPLAIN PARTITIONS SELECT * FROM t1 WHERE a <= 2;
+SELECT * FROM t1 WHERE a <= 3;
+EXPLAIN PARTITIONS SELECT * FROM t1 WHERE a <= 3;
+SELECT * FROM t1 WHERE a <= 4;
+EXPLAIN PARTITIONS SELECT * FROM t1 WHERE a <= 4;
+SELECT * FROM t1 WHERE a <= 5;
+EXPLAIN PARTITIONS SELECT * FROM t1 WHERE a <= 5;
+SELECT * FROM t1 WHERE a <= 6;
+EXPLAIN PARTITIONS SELECT * FROM t1 WHERE a <= 6;
+SELECT * FROM t1 WHERE a <= 7;
+EXPLAIN PARTITIONS SELECT * FROM t1 WHERE a <= 7;
+SELECT * FROM t1 WHERE a = 1;
+EXPLAIN PARTITIONS SELECT * FROM t1 WHERE a = 1;
+SELECT * FROM t1 WHERE a = 2;
+EXPLAIN PARTITIONS SELECT * FROM t1 WHERE a = 2;
+SELECT * FROM t1 WHERE a = 3;
+EXPLAIN PARTITIONS SELECT * FROM t1 WHERE a = 3;
+SELECT * FROM t1 WHERE a = 4;
+EXPLAIN PARTITIONS SELECT * FROM t1 WHERE a = 4;
+SELECT * FROM t1 WHERE a = 5;
+EXPLAIN PARTITIONS SELECT * FROM t1 WHERE a = 5;
+SELECT * FROM t1 WHERE a = 6;
+EXPLAIN PARTITIONS SELECT * FROM t1 WHERE a = 6;
+SELECT * FROM t1 WHERE a = 7;
+EXPLAIN PARTITIONS SELECT * FROM t1 WHERE a = 7;
+SELECT * FROM t1 WHERE a >= 1;
+EXPLAIN PARTITIONS SELECT * FROM t1 WHERE a >= 1;
+SELECT * FROM t1 WHERE a >= 2;
+EXPLAIN PARTITIONS SELECT * FROM t1 WHERE a >= 2;
+SELECT * FROM t1 WHERE a >= 3;
+EXPLAIN PARTITIONS SELECT * FROM t1 WHERE a >= 3;
+SELECT * FROM t1 WHERE a >= 4;
+EXPLAIN PARTITIONS SELECT * FROM t1 WHERE a >= 4;
+SELECT * FROM t1 WHERE a >= 5;
+EXPLAIN PARTITIONS SELECT * FROM t1 WHERE a >= 5;
+SELECT * FROM t1 WHERE a >= 6;
+EXPLAIN PARTITIONS SELECT * FROM t1 WHERE a >= 6;
+SELECT * FROM t1 WHERE a >= 7;
+EXPLAIN PARTITIONS SELECT * FROM t1 WHERE a >= 7;
+SELECT * FROM t1 WHERE a > 1;
+EXPLAIN PARTITIONS SELECT * FROM t1 WHERE a > 1;
+SELECT * FROM t1 WHERE a > 2;
+EXPLAIN PARTITIONS SELECT * FROM t1 WHERE a > 2;
+SELECT * FROM t1 WHERE a > 3;
+EXPLAIN PARTITIONS SELECT * FROM t1 WHERE a > 3;
+SELECT * FROM t1 WHERE a > 4;
+EXPLAIN PARTITIONS SELECT * FROM t1 WHERE a > 4;
+SELECT * FROM t1 WHERE a > 5;
+EXPLAIN PARTITIONS SELECT * FROM t1 WHERE a > 5;
+SELECT * FROM t1 WHERE a > 6;
+EXPLAIN PARTITIONS SELECT * FROM t1 WHERE a > 6;
+SELECT * FROM t1 WHERE a > 7;
+EXPLAIN PARTITIONS SELECT * FROM t1 WHERE a > 7;
+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;
+EXPLAIN PARTITIONS SELECT * FROM t1 WHERE a < 1;
+SELECT * FROM t1 WHERE a < 2;
+EXPLAIN PARTITIONS SELECT * FROM t1 WHERE a < 2;
+SELECT * FROM t1 WHERE a < 3;
+EXPLAIN PARTITIONS SELECT * FROM t1 WHERE a < 3;
+SELECT * FROM t1 WHERE a < 4;
+EXPLAIN PARTITIONS SELECT * FROM t1 WHERE a < 4;
+SELECT * FROM t1 WHERE a < 5;
+EXPLAIN PARTITIONS SELECT * FROM t1 WHERE a < 5;
+SELECT * FROM t1 WHERE a < 6;
+EXPLAIN PARTITIONS SELECT * FROM t1 WHERE a < 6;
+SELECT * FROM t1 WHERE a <= 1;
+EXPLAIN PARTITIONS SELECT * FROM t1 WHERE a <= 1;
+SELECT * FROM t1 WHERE a <= 2;
+EXPLAIN PARTITIONS SELECT * FROM t1 WHERE a <= 2;
+SELECT * FROM t1 WHERE a <= 3;
+EXPLAIN PARTITIONS SELECT * FROM t1 WHERE a <= 3;
+SELECT * FROM t1 WHERE a <= 4;
+EXPLAIN PARTITIONS SELECT * FROM t1 WHERE a <= 4;
+SELECT * FROM t1 WHERE a <= 5;
+EXPLAIN PARTITIONS SELECT * FROM t1 WHERE a <= 5;
+SELECT * FROM t1 WHERE a <= 6;
+EXPLAIN PARTITIONS SELECT * FROM t1 WHERE a <= 6;
+SELECT * FROM t1 WHERE a = 1;
+EXPLAIN PARTITIONS SELECT * FROM t1 WHERE a = 1;
+SELECT * FROM t1 WHERE a = 2;
+EXPLAIN PARTITIONS SELECT * FROM t1 WHERE a = 2;
+SELECT * FROM t1 WHERE a = 3;
+EXPLAIN PARTITIONS SELECT * FROM t1 WHERE a = 3;
+SELECT * FROM t1 WHERE a = 4;
+EXPLAIN PARTITIONS SELECT * FROM t1 WHERE a = 4;
+SELECT * FROM t1 WHERE a = 5;
+EXPLAIN PARTITIONS SELECT * FROM t1 WHERE a = 5;
+SELECT * FROM t1 WHERE a = 6;
+EXPLAIN PARTITIONS SELECT * FROM t1 WHERE a = 6;
+SELECT * FROM t1 WHERE a >= 1;
+EXPLAIN PARTITIONS SELECT * FROM t1 WHERE a >= 1;
+SELECT * FROM t1 WHERE a >= 2;
+EXPLAIN PARTITIONS SELECT * FROM t1 WHERE a >= 2;
+SELECT * FROM t1 WHERE a >= 3;
+EXPLAIN PARTITIONS SELECT * FROM t1 WHERE a >= 3;
+SELECT * FROM t1 WHERE a >= 4;
+EXPLAIN PARTITIONS SELECT * FROM t1 WHERE a >= 4;
+SELECT * FROM t1 WHERE a >= 5;
+EXPLAIN PARTITIONS SELECT * FROM t1 WHERE a >= 5;
+SELECT * FROM t1 WHERE a >= 6;
+EXPLAIN PARTITIONS SELECT * FROM t1 WHERE a >= 6;
+SELECT * FROM t1 WHERE a > 1;
+EXPLAIN PARTITIONS SELECT * FROM t1 WHERE a > 1;
+SELECT * FROM t1 WHERE a > 2;
+EXPLAIN PARTITIONS SELECT * FROM t1 WHERE a > 2;
+SELECT * FROM t1 WHERE a > 3;
+EXPLAIN PARTITIONS SELECT * FROM t1 WHERE a > 3;
+SELECT * FROM t1 WHERE a > 4;
+EXPLAIN PARTITIONS SELECT * FROM t1 WHERE a > 4;
+SELECT * FROM t1 WHERE a > 5;
+EXPLAIN PARTITIONS SELECT * FROM t1 WHERE a > 5;
+SELECT * FROM t1 WHERE a > 6;
+EXPLAIN PARTITIONS SELECT * FROM t1 WHERE a > 6;
+DROP TABLE t1;
+
 #
 # Bug#20577: Partitions: use of to_days() function leads to selection failures
 #