fix and test case for the bug #787: HANDLER without INDEX doesn't work with deleted rows

mysql-test/r/handler.result:
  test case for the bug #787: HANDLER without INDEX doesn't work with deleted rows
mysql-test/t/handler.test:
  test case for the bug #787: HANDLER without INDEX doesn't work with deleted rows
sql/sql_handler.cc:
  fix for the bug #787: HANDLER without INDEX doesn't work with deleted rows

mysql-test/r/handler.result

@@ -146,6 +146,25 @@ alter table t1 type=MyISAM;
 handler t2 read first;
 Unknown table 't2' in HANDLER
 drop table t1;
+create table t1 (a int);
+insert into t1 values (1),(2),(3),(4),(5),(6);
+delete from t1 limit 2;
+handler t1 open;
+handler t1 read first;
+a
+3
+handler t1 read first limit 1,1;
+a
+4
+handler t1 read first limit 2,2;
+a
+5
+6
+delete from t1 limit 3;
+handler t1 read first;
+a
+6
+drop table t1;
 create table t1(a int, index(a));
 insert into t1 values (1), (2), (3);
 handler t1 open;

mysql-test/t/handler.test

@@ -80,6 +80,21 @@ alter table t1 type=MyISAM;
 handler t2 read first;
 drop table t1;
 
+#
+# test case for the bug #787
+#
+
+create table t1 (a int);
+insert into t1 values (1),(2),(3),(4),(5),(6);
+delete from t1 limit 2;
+handler t1 open;
+handler t1 read first;
+handler t1 read first limit 1,1;
+handler t1 read first limit 2,2;
+delete from t1 limit 3;
+handler t1 read first;
+drop table t1;
+
 #
 #test for #751
 #

sql/sql_handler.cc

@@ -219,6 +219,8 @@ int mysql_ha_read(THD *thd, TABLE_LIST *tables,
       goto err;
     }
 
+    if (err == HA_ERR_RECORD_DELETED)
+      continue;
     if (err)
     {
       if (err != HA_ERR_KEY_NOT_FOUND && err != HA_ERR_END_OF_FILE)
@@ -230,15 +232,9 @@ int mysql_ha_read(THD *thd, TABLE_LIST *tables,
       }
       goto ok;
     }
-    if (cond)
-    {
-      err=err;
-      if (!cond->val_int())
+    if (cond && !cond->val_int())
       continue;
-    }
-    if (num_rows>=offset_limit)
-    {
-      if (!err)
+    if (!err && num_rows >= offset_limit)
     {
       String *packet = &thd->packet;
       Item *item;
@@ -255,7 +251,6 @@ int mysql_ha_read(THD *thd, TABLE_LIST *tables,
       }
       my_net_write(&thd->net, (char*)packet->ptr(), packet->length());
     }
-    }
     num_rows++;
   }
 ok: