diff --git a/mysql-test/r/sp.result b/mysql-test/r/sp.result
index a6c429a31fb..efc12b402ce 100644
--- a/mysql-test/r/sp.result
+++ b/mysql-test/r/sp.result
@@ -6367,4 +6367,180 @@ DROP TABLE t1;
 
 DROP PROCEDURE p1;
 DROP PROCEDURE p2;
+
+#
+# Bug#31035.
+#
+
+#
+# - Prepare.
+#
+
+DROP TABLE IF EXISTS t1;
+DROP FUNCTION IF EXISTS f1;
+DROP FUNCTION IF EXISTS f2;
+DROP FUNCTION IF EXISTS f3;
+DROP FUNCTION IF EXISTS f4;
+
+#
+# - Create required objects.
+#
+
+CREATE TABLE t1(c1 INT);
+
+INSERT INTO t1 VALUES (1), (2), (3);
+
+CREATE FUNCTION f1()
+RETURNS INT
+NOT DETERMINISTIC
+RETURN 1;
+
+CREATE FUNCTION f2(p INT)
+RETURNS INT
+NOT DETERMINISTIC
+RETURN 1;
+
+CREATE FUNCTION f3()
+RETURNS INT
+DETERMINISTIC
+RETURN 1;
+
+CREATE FUNCTION f4(p INT)
+RETURNS INT
+DETERMINISTIC
+RETURN 1;
+
+#
+# - Check.
+#
+
+SELECT f1() AS a FROM t1 GROUP BY a;
+a
+1
+
+SELECT f2(@a) AS a FROM t1 GROUP BY a;
+a
+1
+
+SELECT f3() AS a FROM t1 GROUP BY a;
+a
+1
+
+SELECT f4(0) AS a FROM t1 GROUP BY a;
+a
+1
+
+SELECT f4(@a) AS a FROM t1 GROUP BY a;
+a
+1
+
+#
+# - Cleanup.
+#
+
+DROP TABLE t1;
+DROP FUNCTION f1;
+DROP FUNCTION f2;
+DROP FUNCTION f3;
+DROP FUNCTION f4;
+
+#
+# Bug#31191.
+#
+
+#
+# - Prepare.
+#
+
+DROP TABLE IF EXISTS t1;
+DROP TABLE IF EXISTS t2;
+DROP FUNCTION IF EXISTS f1;
+
+#
+# - Create required objects.
+#
+
+CREATE TABLE t1 (
+id INT(10) UNSIGNED NOT NULL AUTO_INCREMENT,
+barcode INT(8) UNSIGNED ZEROFILL nOT NULL,
+PRIMARY KEY  (id),
+UNIQUE KEY barcode (barcode)
+);
+
+INSERT INTO t1 (id, barcode) VALUES (1, 12345678);
+INSERT INTO t1 (id, barcode) VALUES (2, 12345679);
+
+CREATE TABLE test.t2 (
+id INT(10) UNSIGNED NOT NULL AUTO_INCREMENT,
+barcode BIGINT(11) UNSIGNED ZEROFILL NOT NULL,
+PRIMARY KEY  (id)
+);
+
+INSERT INTO test.t2 (id, barcode) VALUES (1, 12345106708);
+INSERT INTO test.t2 (id, barcode) VALUES (2, 12345106709);
+
+CREATE FUNCTION f1(p INT(8))
+RETURNS BIGINT(11) UNSIGNED
+READS SQL DATA
+RETURN FLOOR(p/1000)*1000000 + 100000 + FLOOR((p MOD 1000)/10)*100 + (p MOD 10);
+
+#
+# - Check.
+#
+
+SELECT DISTINCT t1.barcode, f1(t1.barcode)
+FROM t1
+INNER JOIN t2
+ON f1(t1.barcode) = t2.barcode
+WHERE t1.barcode=12345678;
+barcode	f1(t1.barcode)
+12345678	12345106708
+
+#
+# - Cleanup.
+#
+
+DROP TABLE t1;
+DROP TABLE t2;
+DROP FUNCTION f1;
+
+#
+# Bug#31226.
+#
+
+#
+# - Prepare.
+#
+
+DROP TABLE IF EXISTS t1;
+DROP FUNCTION IF EXISTS f1;
+
+#
+# - Create required objects.
+#
+
+CREATE TABLE t1(id INT);
+
+INSERT INTO t1 VALUES (1), (2), (3);
+
+CREATE FUNCTION f1()
+RETURNS DATETIME
+NOT DETERMINISTIC NO SQL
+RETURN NOW();
+
+#
+# - Check.
+#
+
+SELECT f1() FROM t1 GROUP BY 1;
+f1()
+<timestamp>
+
+#
+# - Cleanup.
+#
+
+DROP TABLE t1;
+DROP FUNCTION f1;
+
 End of 5.0 tests
diff --git a/mysql-test/t/sp.test b/mysql-test/t/sp.test
index 8dd99c2b2f1..6413cf2e89d 100644
--- a/mysql-test/t/sp.test
+++ b/mysql-test/t/sp.test
@@ -7354,4 +7354,294 @@ DROP TABLE t1;
 DROP PROCEDURE p1;
 DROP PROCEDURE p2;
 
+###########################################################################
+
+#
+# Bug#31035: select from function, group by result crasher.
+#
+
+###########################################################################
+
+--echo
+
+--echo #
+--echo # Bug#31035.
+--echo #
+
+--echo
+
+--echo #
+--echo # - Prepare.
+--echo #
+
+--echo
+
+--disable_warnings
+DROP TABLE IF EXISTS t1;
+DROP FUNCTION IF EXISTS f1;
+DROP FUNCTION IF EXISTS f2;
+DROP FUNCTION IF EXISTS f3;
+DROP FUNCTION IF EXISTS f4;
+--enable_warnings
+
+--echo
+
+--echo #
+--echo # - Create required objects.
+--echo #
+
+--echo
+
+CREATE TABLE t1(c1 INT);
+
+--echo
+
+INSERT INTO t1 VALUES (1), (2), (3);
+
+--echo
+
+CREATE FUNCTION f1()
+  RETURNS INT
+  NOT DETERMINISTIC
+    RETURN 1;
+
+--echo
+
+CREATE FUNCTION f2(p INT)
+  RETURNS INT
+  NOT DETERMINISTIC
+    RETURN 1;
+
+--echo
+
+CREATE FUNCTION f3()
+  RETURNS INT
+  DETERMINISTIC
+    RETURN 1;
+
+--echo
+
+CREATE FUNCTION f4(p INT)
+  RETURNS INT
+  DETERMINISTIC
+    RETURN 1;
+
+--echo
+
+--echo #
+--echo # - Check.
+--echo #
+
+--echo
+
+# Not deterministic function, no arguments.
+
+SELECT f1() AS a FROM t1 GROUP BY a;
+
+--echo
+
+# Not deterministic function, non-constant argument.
+
+SELECT f2(@a) AS a FROM t1 GROUP BY a;
+
+--echo
+
+# Deterministic function, no arguments.
+
+SELECT f3() AS a FROM t1 GROUP BY a;
+
+--echo
+
+# Deterministic function, constant argument.
+
+SELECT f4(0) AS a FROM t1 GROUP BY a;
+
+--echo
+
+# Deterministic function, non-constant argument.
+
+SELECT f4(@a) AS a FROM t1 GROUP BY a;
+
+--echo
+
+--echo #
+--echo # - Cleanup.
+--echo #
+
+--echo
+
+DROP TABLE t1;
+DROP FUNCTION f1;
+DROP FUNCTION f2;
+DROP FUNCTION f3;
+DROP FUNCTION f4;
+
+--echo
+
+###########################################################################
+
+#
+# Bug#31191: JOIN in combination with stored function crashes the server.
+#
+
+###########################################################################
+
+--echo #
+--echo # Bug#31191.
+--echo #
+
+--echo
+
+--echo #
+--echo # - Prepare.
+--echo #
+
+--echo
+
+--disable_warnings
+DROP TABLE IF EXISTS t1;
+DROP TABLE IF EXISTS t2;
+DROP FUNCTION IF EXISTS f1;
+--enable_warnings
+
+--echo
+
+--echo #
+--echo # - Create required objects.
+--echo #
+
+--echo
+
+CREATE TABLE t1 (
+   id INT(10) UNSIGNED NOT NULL AUTO_INCREMENT,
+   barcode INT(8) UNSIGNED ZEROFILL nOT NULL,
+   PRIMARY KEY  (id),
+   UNIQUE KEY barcode (barcode)
+);
+
+--echo
+
+INSERT INTO t1 (id, barcode) VALUES (1, 12345678);
+INSERT INTO t1 (id, barcode) VALUES (2, 12345679);
+
+--echo
+
+CREATE TABLE test.t2 (
+   id INT(10) UNSIGNED NOT NULL AUTO_INCREMENT,
+   barcode BIGINT(11) UNSIGNED ZEROFILL NOT NULL,
+   PRIMARY KEY  (id)
+);
+
+--echo
+
+INSERT INTO test.t2 (id, barcode) VALUES (1, 12345106708);
+INSERT INTO test.t2 (id, barcode) VALUES (2, 12345106709);
+
+--echo
+
+CREATE FUNCTION f1(p INT(8))
+  RETURNS BIGINT(11) UNSIGNED
+  READS SQL DATA
+    RETURN FLOOR(p/1000)*1000000 + 100000 + FLOOR((p MOD 1000)/10)*100 + (p MOD 10);
+
+--echo
+
+--echo #
+--echo # - Check.
+--echo #
+
+--echo
+
+SELECT DISTINCT t1.barcode, f1(t1.barcode)
+FROM t1
+INNER JOIN t2
+ON f1(t1.barcode) = t2.barcode
+WHERE t1.barcode=12345678;
+
+--echo
+
+--echo #
+--echo # - Cleanup.
+--echo #
+
+--echo
+
+DROP TABLE t1;
+DROP TABLE t2;
+DROP FUNCTION f1;
+
+--echo
+
+###########################################################################
+
+#
+# Bug#31226: Group by function crashes mysql.
+#
+
+###########################################################################
+
+--echo #
+--echo # Bug#31226.
+--echo #
+
+--echo
+
+--echo #
+--echo # - Prepare.
+--echo #
+
+--echo
+
+--disable_warnings
+DROP TABLE IF EXISTS t1;
+DROP FUNCTION IF EXISTS f1;
+--enable_warnings
+
+--echo
+
+--echo #
+--echo # - Create required objects.
+--echo #
+
+--echo
+
+CREATE TABLE t1(id INT);
+
+--echo
+
+INSERT INTO t1 VALUES (1), (2), (3);
+
+--echo
+
+CREATE FUNCTION f1()
+  RETURNS DATETIME
+  NOT DETERMINISTIC NO SQL
+    RETURN NOW();
+
+--echo
+
+--echo #
+--echo # - Check.
+--echo #
+
+--echo
+
+--replace_column 1 <timestamp>
+SELECT f1() FROM t1 GROUP BY 1;
+
+--echo
+
+--echo #
+--echo # - Cleanup.
+--echo #
+
+--echo
+
+DROP TABLE t1;
+DROP FUNCTION f1;
+
+--echo
+
+###########################################################################
+
 --echo End of 5.0 tests
diff --git a/sql/item_func.cc b/sql/item_func.cc
index d03d497dfd0..f7103c22581 100644
--- a/sql/item_func.cc
+++ b/sql/item_func.cc
@@ -5583,8 +5583,13 @@ Item_func_sp::fix_fields(THD *thd, Item **ref)
     
 #endif /* ! NO_EMBEDDED_ACCESS_CHECKS */
   }
+
   if (!m_sp->m_chistics->detistic)
-   used_tables_cache |= RAND_TABLE_BIT;
+  {
+    used_tables_cache |= RAND_TABLE_BIT;
+    const_item_cache= FALSE;
+  }
+
   DBUG_RETURN(res);
 }
 
@@ -5592,6 +5597,10 @@ Item_func_sp::fix_fields(THD *thd, Item **ref)
 void Item_func_sp::update_used_tables()
 {
   Item_func::update_used_tables();
+
   if (!m_sp->m_chistics->detistic)
-   used_tables_cache |= RAND_TABLE_BIT;
+  {
+    used_tables_cache |= RAND_TABLE_BIT;
+    const_item_cache= FALSE;
+  }
 }
diff --git a/sql/sql_handler.cc b/sql/sql_handler.cc
index 9aefa71647e..89090c9fa63 100644
--- a/sql/sql_handler.cc
+++ b/sql/sql_handler.cc
@@ -65,11 +65,6 @@
 static enum enum_ha_read_modes rkey_to_rnext[]=
 { RNEXT_SAME, RNEXT, RPREV, RNEXT, RPREV, RNEXT, RPREV, RPREV };
 
-#define HANDLER_TABLES_HACK(thd) {      \
-  TABLE *tmp=thd->open_tables;          \
-  thd->open_tables=thd->handler_tables; \
-  thd->handler_tables=tmp; }
-
 static int mysql_ha_flush_table(THD *thd, TABLE **table_ptr, uint mode_flags);
 
 
@@ -187,6 +182,7 @@ bool mysql_ha_open(THD *thd, TABLE_LIST *tables, bool reopen)
   char          *db, *name, *alias;
   uint          dblen, namelen, aliaslen, counter;
   int           error;
+  TABLE         *backup_open_tables, *backup_handler_tables;
   DBUG_ENTER("mysql_ha_open");
   DBUG_PRINT("enter",("'%s'.'%s' as '%s'  reopen: %d",
                       tables->db, tables->table_name, tables->alias,
@@ -215,18 +211,31 @@ bool mysql_ha_open(THD *thd, TABLE_LIST *tables, bool reopen)
     }
   }
 
+  /* save open_ and handler_ tables state */
+  backup_open_tables= thd->open_tables;
+  backup_handler_tables= thd->handler_tables;
+
+  /* no pre-opened tables */
+  thd->open_tables= NULL;
+  /* to avoid flushes */
+  thd->handler_tables= NULL;
+
   /*
     open_tables() will set 'tables->table' if successful.
     It must be NULL for a real open when calling open_tables().
   */
   DBUG_ASSERT(! tables->table);
-  HANDLER_TABLES_HACK(thd);
 
   /* for now HANDLER can be used only for real TABLES */
   tables->required_type= FRMTYPE_TABLE;
   error= open_tables(thd, &tables, &counter, 0);
 
-  HANDLER_TABLES_HACK(thd);
+  /* restore the state and merge the opened table into handler_tables list */
+  thd->handler_tables= thd->open_tables ?
+                       thd->open_tables->next= backup_handler_tables,
+                       thd->open_tables : backup_handler_tables;
+  thd->open_tables= backup_open_tables;
+
   if (error)
     goto err;
 
@@ -351,7 +360,7 @@ bool mysql_ha_read(THD *thd, TABLE_LIST *tables,
                    ha_rows select_limit_cnt, ha_rows offset_limit_cnt)
 {
   TABLE_LIST    *hash_tables;
-  TABLE         *table;
+  TABLE         *table, *backup_open_tables, *backup_handler_tables;
   MYSQL_LOCK    *lock;
   List<Item>	list;
   Protocol	*protocol= thd->protocol;
@@ -361,7 +370,7 @@ bool mysql_ha_read(THD *thd, TABLE_LIST *tables,
   uint          num_rows;
   byte		*key;
   uint		key_len;
-  bool          not_used;
+  bool          need_reopen;
   DBUG_ENTER("mysql_ha_read");
   DBUG_PRINT("enter",("'%s'.'%s' as '%s'",
                       tables->db, tables->table_name, tables->alias));
@@ -375,6 +384,7 @@ bool mysql_ha_read(THD *thd, TABLE_LIST *tables,
   List_iterator<Item> it(list);
   it++;
 
+retry:
   if ((hash_tables= (TABLE_LIST*) hash_search(&thd->handler_tables_hash,
                                               (byte*) tables->alias,
                                               strlen(tables->alias) + 1)))
@@ -427,9 +437,28 @@ bool mysql_ha_read(THD *thd, TABLE_LIST *tables,
   }
   tables->table=table;
 
-  HANDLER_TABLES_HACK(thd);
-  lock= mysql_lock_tables(thd, &tables->table, 1, 0, &not_used);
-  HANDLER_TABLES_HACK(thd);
+  /* save open_ and handler_ tables state */
+  backup_open_tables= thd->open_tables;
+  backup_handler_tables= thd->handler_tables;
+
+  /* no pre-opened tables */
+  thd->open_tables= NULL;
+  /* to avoid flushes */
+  thd->handler_tables= NULL;
+
+  lock= mysql_lock_tables(thd, &tables->table, 1,
+                          MYSQL_LOCK_NOTIFY_IF_NEED_REOPEN, &need_reopen);
+
+  /* restore previous context */
+  thd->handler_tables= backup_handler_tables;
+  thd->open_tables= backup_open_tables;
+
+  if (need_reopen)
+  {
+    mysql_ha_close_table(thd, tables);
+    hash_tables->table= NULL;
+    goto retry;
+  }
 
   if (!lock)
     goto err0; // mysql_lock_tables() printed error message already