Fixed bug #18165.

Made [NOT]BETWEEN predicates SARGable in respect to the second and 
the third arguments.

mysql-test/r/range.result

@@ -860,3 +860,39 @@ a
 13
 15
 drop table t1, t2;
+CREATE TABLE t1 (
+id int NOT NULL DEFAULT '0',
+b int NOT NULL DEFAULT '0',
+c int NOT NULL DEFAULT '0', 
+INDEX idx1(b,c), INDEX idx2(c));
+INSERT INTO t1(id) VALUES (1), (2), (3), (4), (5), (6), (7), (8);
+INSERT INTO t1(b,c) VALUES (3,4), (3,4);
+SELECT * FROM t1 WHERE b<=3 AND 3<=c;
+id	b	c
+0	3	4
+0	3	4
+SELECT * FROM t1 WHERE 3 BETWEEN b AND c;
+id	b	c
+0	3	4
+0	3	4
+EXPLAIN  SELECT * FROM t1 WHERE b<=3 AND 3<=c;
+id	select_type	table	type	possible_keys	key	key_len	ref	rows	Extra
+1	SIMPLE	t1	range	idx1,idx2	idx2	4	NULL	3	Using where
+EXPLAIN  SELECT * FROM t1 WHERE 3 BETWEEN b AND c;
+id	select_type	table	type	possible_keys	key	key_len	ref	rows	Extra
+1	SIMPLE	t1	range	idx1,idx2	idx2	4	NULL	3	Using where
+SELECT * FROM t1 WHERE 0 < b OR 0 > c;
+id	b	c
+0	3	4
+0	3	4
+SELECT * FROM t1 WHERE 0 NOT BETWEEN b AND c;
+id	b	c
+0	3	4
+0	3	4
+EXPLAIN SELECT * FROM t1 WHERE 0 < b OR 0 > c;
+id	select_type	table	type	possible_keys	key	key_len	ref	rows	Extra
+1	SIMPLE	t1	index_merge	idx1,idx2	idx1,idx2	4,4	NULL	4	Using sort_union(idx1,idx2); Using where
+EXPLAIN SELECT * FROM t1 WHERE 0 NOT BETWEEN b AND c;
+id	select_type	table	type	possible_keys	key	key_len	ref	rows	Extra
+1	SIMPLE	t1	index_merge	idx1,idx2	idx1,idx2	4,4	NULL	4	Using sort_union(idx1,idx2); Using where
+DROP TABLE t1;

mysql-test/t/range.test

@@ -680,4 +680,34 @@ prepare stmt1 from @a;
 execute stmt1;
 
 drop table t1, t2;
+
+#
+# Bug #18165: range access for BETWEEN with a constant for the first argument 
+#
+
+CREATE TABLE t1 (
+  id int NOT NULL DEFAULT '0',
+  b int NOT NULL DEFAULT '0',
+  c int NOT NULL DEFAULT '0', 
+  INDEX idx1(b,c), INDEX idx2(c));
+
+INSERT INTO t1(id) VALUES (1), (2), (3), (4), (5), (6), (7), (8);
+
+INSERT INTO t1(b,c) VALUES (3,4), (3,4);
+
+SELECT * FROM t1 WHERE b<=3 AND 3<=c;
+SELECT * FROM t1 WHERE 3 BETWEEN b AND c;
+
+EXPLAIN  SELECT * FROM t1 WHERE b<=3 AND 3<=c;
+EXPLAIN  SELECT * FROM t1 WHERE 3 BETWEEN b AND c;
+
+SELECT * FROM t1 WHERE 0 < b OR 0 > c;
+SELECT * FROM t1 WHERE 0 NOT BETWEEN b AND c;
+
+EXPLAIN SELECT * FROM t1 WHERE 0 < b OR 0 > c;
+EXPLAIN SELECT * FROM t1 WHERE 0 NOT BETWEEN b AND c;
+
+DROP TABLE t1;
+
+
 # End of 5.0 tests

sql/sql_select.cc

@@ -2796,11 +2796,12 @@ add_key_fields(KEY_FIELD **key_fields,uint *and_level,
     break;
   case Item_func::OPTIMIZE_KEY:
   {
+    Item **values;
     // BETWEEN, IN, NE
     if (cond_func->key_item()->real_item()->type() == Item::FIELD_ITEM &&
 	!(cond_func->used_tables() & OUTER_REF_TABLE_BIT))
     {
-      Item **values= cond_func->arguments()+1;
+      values= cond_func->arguments()+1;
       if (cond_func->functype() == Item_func::NE_FUNC &&
         cond_func->arguments()[1]->real_item()->type() == Item::FIELD_ITEM &&
 	     !(cond_func->arguments()[0]->used_tables() & OUTER_REF_TABLE_BIT))
@@ -2813,6 +2814,22 @@ add_key_fields(KEY_FIELD **key_fields,uint *and_level,
                            cond_func->argument_count()-1,
                            usable_tables);
     }
+    if (cond_func->functype() == Item_func::BETWEEN)
+    {
+      values= cond_func->arguments();
+      for (uint i= 1 ; i < cond_func->argument_count() ; i++)
+      {
+        Item_field *field_item;
+        if (cond_func->arguments()[i]->real_item()->type() == Item::FIELD_ITEM
+            &&
+            !(cond_func->arguments()[i]->used_tables() & OUTER_REF_TABLE_BIT))
+        {
+          field_item= (Item_field *) (cond_func->arguments()[i]->real_item());
+          add_key_equal_fields(key_fields, *and_level, cond_func,
+                               field_item, 0, values, 1, usable_tables);
+        }
+      }  
+    }
     break;
   }
   case Item_func::OPTIMIZE_OP: