Bug#29739: Incorrect time comparison in BETWEEN.

Time values were compared by the BETWEEN function as strings. This led to a
wrong result in cases when some of arguments are less than 100 hours and other
are greater.

Now if all 3 arguments of the BETWEEN function are of the TIME type then
they are compared as integers.

mysql-test/r/type_time.result

@@ -103,3 +103,9 @@ cast('100:55:50' as time) > cast('024:00:00' as time)
 select cast('300:55:50' as time) > cast('240:00:00' as time);
 cast('300:55:50' as time) > cast('240:00:00' as time)
 1
+create table t1(f1 time, f2 time);
+insert into t1 values('20:00:00','150:00:00');
+select 1 from t1 where cast('100:00:00' as time) between f1 and f2;
+1
+1
+drop table t1;

mysql-test/t/type_time.test

@@ -50,3 +50,11 @@ select cast('300:55:50' as time) < cast('240:00:00' as time);
 select cast('100:55:50' as time) > cast('24:00:00' as time);
 select cast('100:55:50' as time) > cast('024:00:00' as time);
 select cast('300:55:50' as time) > cast('240:00:00' as time);
+
+#
+# Bug#29739: Incorrect time comparison in BETWEEN.
+#
+create table t1(f1 time, f2 time);
+insert into t1 values('20:00:00','150:00:00');
+select 1 from t1 where cast('100:00:00' as time) between f1 and f2;
+drop table t1;

sql/item_cmpfunc.cc

@@ -1728,6 +1728,7 @@ void Item_func_between::fix_length_and_dec()
   THD *thd= current_thd;
   int i;
   bool datetime_found= FALSE;
+  int time_items_found= 0;
   compare_as_dates= TRUE;
 
   /*
@@ -1747,6 +1748,8 @@ void Item_func_between::fix_length_and_dec()
     At least one of items should be a DATE/DATETIME item and other items
     should return the STRING result.
   */
+  if (cmp_type == STRING_RESULT)
+  {
     for (i= 0; i < 3; i++)
     {
       if (args[i]->is_datetime())
@@ -1754,10 +1757,10 @@ void Item_func_between::fix_length_and_dec()
         datetime_found= TRUE;
         continue;
       }
-    if (args[i]->result_type() == STRING_RESULT)
-      continue;
-    compare_as_dates= FALSE;
-    break;
+      if (args[i]->field_type() == MYSQL_TYPE_TIME &&
+          args[i]->result_as_longlong())
+        time_items_found++;
+    }
   }
   if (!datetime_found)
     compare_as_dates= FALSE;
@@ -1767,6 +1770,11 @@ void Item_func_between::fix_length_and_dec()
     ge_cmp.set_datetime_cmp_func(args, args + 1);
     le_cmp.set_datetime_cmp_func(args, args + 2);
   }
+  else if (time_items_found == 3)
+  {
+    /* Compare TIME items as integers. */
+    cmp_type= INT_RESULT;
+  }
   else if (args[0]->real_item()->type() == FIELD_ITEM &&
            thd->lex->sql_command != SQLCOM_CREATE_VIEW &&
            thd->lex->sql_command != SQLCOM_SHOW_CREATE)