Multiple Query in Doctrine with NAND,NOR,NOT,AND Operators

I am trying to design a doctrine query and I am new to doctrine but with the help of my other post I come up with a query which works when I run in my Mysql. But I want it to convert the query in Doctrine (2.3) can some one help me in this.

MySQL Query:

SELECT * FROM user WHERE 
(`user_name` like '%TOM%' OR `user_name` like '%AN%' and `login_datetime` BETWEEN '2013-01-01 00:00:00' and '2013-02-31 23:59:59') OR
NOT ( --NOR
   (`user_name` like '%PHP%' OR `user_name` like '%BA%' and `login_datetime` BETWEEN '2013-02-01 00:00:00' and '2013-03-31 23:59:59') OR
   (`user_name` like '%SUN%' OR `user_name` like '%MOON%' and `login_datetime` BETWEEN '2013-03-01 00:00:00' and '2013-04-31 23:59:59')
) OR
NOT ( --NAND
   (`user_name` like '%RAJ%' OR `user_name` like '%MUTH%' and `login_datetime` BETWEEN '2013-04-01 00:00:00' and '2013-06-31 23:59:59') AND
   (`user_name` like '%BAG%' OR `user_name` like '%LAP%' and `login_datetime` BETWEEN '2013-05-01 00:00:00' and '2013-07-31 23:59:59')
)

--Link Reference: for the above MySql Query.

My Try with Doctrine: Reference Link:

It is very difficult to understand the doctrine query because of the () brasses which it automatically created in between queries so it gives me some wrong results all the time. Kindly help me.

It is very difficult to understand the doctrine query because of the () brasses which it automatically created in between queries so it gives me some wrong results all the time.

When you use an expr it typically wraps the expression in (). I think that's where you are running into confusion. Something similar to the following should work (this isn't tested so you may need to adjust a bit):

$qry = $this->manager()->createQueryBuilder()
        ->from($this->entity, 'e')
        ->select('e');


// (`user_name` like '%TOM%' OR `user_name` like '%AN%' and `login_datetime` BETWEEN '2013-01-01 00:00:00' and '2013-02-31 23:59:59')
$expr1 = $qry->expr()->andX(
    $qry->expr()->orX(
       $qry->expr()->like('e.user_name', '%TOM%'), 
       $qry->expr()->like('e.user_name', '%AN%')
    ),
    $qry->expr()->between('e.login_datetime', '2013-02-01 00:00:00', '2013-02-31 23:59:59')
);

//(`user_name` like '%PHP%' OR `user_name` like '%BA%' and `login_datetime` BETWEEN '2013-02-01 00:00:00' and '2013-03-31 23:59:59')

$expr2a = $qry->expr()->andX(
    $qry->expr()->orX(
       $qry->expr()->like('e.user_name', '%PHP%'), 
       $qry->expr()->like('e.user_name', '%BA%')
    ),
    $qry->expr()->between('e.login_datetime', ''2013-02-01 00:00:00'', '2013-03-31 23:59:59')
);

// (`user_name` like '%SUN%' OR `user_name` like '%MOON%' and `login_datetime` BETWEEN '2013-03-01 00:00:00' and '2013-04-31 23:59:59')
$expr2b = $qry->expr()->andX(
    $qry->expr()->orX(
       $qry->expr()->like('e.user_name', '%SUN%'), 
       $qry->expr()->like('e.user_name', '%MOON%')
    ),
    $qry->expr()->between('e.login_datetime', '2013-03-01 00:00:00', '2013-04-31 23:59:59')
);

// combine expr2a and expr2b with OR as $expr2

$expr2 = $qry->expr()->orX($expr2a, $expr2b);


// (`user_name` like '%RAJ%' OR `user_name` like '%MUTH%' and `login_datetime` BETWEEN '2013-04-01 00:00:00' and '2013-06-31 23:59:59')

$expr3a = $qry->expr()->andX(
    $qry->expr()->orX(
       $qry->expr()->like('e.user_name', '%RAJ%'), 
       $qry->expr()->like('e.user_name', '%MUTH%')
    ),
    $qry->expr()->between('e.login_datetime', ''2013-04-01 00:00:00'', '2013-06-31 23:59:59')
);

// (`user_name` like '%BAG%' OR `user_name` like '%LAP%' and `login_datetime` BETWEEN '2013-05-01 00:00:00' and '2013-07-31 23:59:59')
$expr3b = $qry->expr()->andX(
    $qry->expr()->orX(
       $qry->expr()->like('e.user_name', '%BAG%'), 
       $qry->expr()->like('e.user_name', '%LAP%')
    ),
    $qry->expr()->between('e.login_datetime', '2013-05-01 00:00:00', '2013-07-31 23:59:59')
);

// combine expr2a and expr2b with OR as $expr2

$expr3 = $qry->expr()->andX($expr3a, $expr3b);


// final query essentially WHERE expr1 OR NOT(expr2) OR NOT(expr3)
$qry->where($expr1)
    ->or($qry->expr()->not($expr2))
    ->or($qry->expr()->not($expr3));