Bug #41003 log_bin_trust_function_creators_func test explicitly warns on a bug in it

The test 
1. did not verify that CREATE FUNCTION shall fails in a case of active binlog
   and @@log_bin_trust_function_creators is zero if there is no DETERMINISTIC qualifier
   and super user privilege;
2. contained an explit warning on that CREATE FUNCTION actually succeeded whereas
   it was supposed to fail;
3. did not demand the bin-log be set ON even though it has contained the opt file
   explictily setting the name for the binlog file.
      
Fixed 1-3 with modifying the test accordingly.


mysql-test/r/log_bin_trust_function_creators_func.result:
  Bug #41003 changed results.
mysql-test/t/log_bin_trust_function_creators_func-master.opt:
  removed unnecessary file, the specificly requested binlog file name was not used in
  the test.
mysql-test/t/log_bin_trust_function_creators_func.test:
  corrected the test that previously: 1.  did not verify that CREATE FUNCTION shall fail
  in some cases; 2. contained an explit warning on that CREATE FUNCTION actually

mysql-test/r/log_bin_trust_function_creators_func.result

@@ -10,10 +10,7 @@ create table t2 (a INT);
 SELECT @@log_bin_trust_function_creators;
 @@log_bin_trust_function_creators
 0
-SELECT @@sql_log_bin;
-@@sql_log_bin
-1
-## Creating new function f1 ##
+##  Creating new function f1 fails because no DETERMINISTIC ###
 CREATE FUNCTION f1(a INT) RETURNS INT
 BEGIN
 IF (a < 3) THEN 
@@ -21,8 +18,24 @@ INSERT INTO t2 VALUES (a);
 END IF;
 RETURN 1;
 END|
-'Bug: Create Function should give error here because non-super user';
-'is creating function here';
+ERROR HY000: This function has none of DETERMINISTIC, NO SQL, or READS SQL DATA in its declaration and binary logging is enabled (you *might* want to use the less safe log_bin_trust_function_creators variable)
+## Creating new function f1 fails because non-super user ##
+CREATE FUNCTION f1(a INT) RETURNS INT DETERMINISTIC
+BEGIN
+IF (a < 3) THEN
+INSERT INTO t2 VALUES (a);
+END IF;
+RETURN 1;
+END|
+ERROR HY000: You do not have the SUPER privilege and binary logging is enabled (you *might* want to use the less safe log_bin_trust_function_creators variable)
+## Creating new function f1 succeeds ##
+CREATE FUNCTION f1(a INT) RETURNS INT DETERMINISTIC
+BEGIN
+IF (a < 3) THEN
+INSERT INTO t2 VALUES (a);
+END IF;
+RETURN 1;
+END|
 ## Creating new table t1 ##
 CREATE TABLE t1 (a INT);
 ## Inserting some records in t1 ##

mysql-test/t/log_bin_trust_function_creators_func-master.opt

---log-bin=test.log

mysql-test/t/log_bin_trust_function_creators_func.test

@@ -20,6 +20,8 @@
 #                                                                             #
 ###############################################################################
 
+source include/have_log_bin.inc;
+
 --disable_warnings
 drop table if exists t1;
 --enable_warnings
@@ -45,10 +47,10 @@ connect (test_con1,localhost,tt,,);
 connection test_con1;
 
 SELECT @@log_bin_trust_function_creators;
-SELECT @@sql_log_bin;
 
---echo ## Creating new function f1 ##
+--echo ##  Creating new function f1 fails because no DETERMINISTIC ###
 delimiter |;
+--error ER_BINLOG_UNSAFE_ROUTINE
 CREATE FUNCTION f1(a INT) RETURNS INT
 BEGIN
    IF (a < 3) THEN 
@@ -58,8 +60,30 @@ BEGIN
 END|
 delimiter ;|
 
---echo 'Bug: Create Function should give error here because non-super user';
---echo 'is creating function here';
+--echo ## Creating new function f1 fails because non-super user ##
+delimiter |;
+--error ER_BINLOG_CREATE_ROUTINE_NEED_SUPER
+CREATE FUNCTION f1(a INT) RETURNS INT DETERMINISTIC
+BEGIN
+   IF (a < 3) THEN
+    INSERT INTO t2 VALUES (a);
+  END IF;
+  RETURN 1;
+END|
+delimiter ;|
+
+connection default;
+
+--echo ## Creating new function f1 succeeds ##
+delimiter |;
+CREATE FUNCTION f1(a INT) RETURNS INT DETERMINISTIC
+BEGIN
+   IF (a < 3) THEN
+    INSERT INTO t2 VALUES (a);
+  END IF;
+  RETURN 1;
+END|
+delimiter ;|
 
 --echo ## Creating new table t1 ##
 CREATE TABLE t1 (a INT);