Hibernate Criteria - Order By

I have currently the below criteria :-

Criteria addr = criteria.createCriteria("location.address"); 
                addr.add((Restrictions.and(Restrictions.between("latitude", latmin,      
                       latmax), Restrictions.between("longitude", truelongmin, truelongmax)))); 

                String sql =  "SQRT( POW( 69.1 * ( {alias}.latitude - " + point[1]      
                       +" ) , 2 ) + POW( 69.1 * ( "+point[0] +" - {alias}.longitude ) * COS( {alias}.latitude /" 
                       +" 57.3 ) , 2 ) )  < "+distance;     
                addr.add(Restrictions.sqlRestriction(sql)); 

What I would like to do ideally is to be able to order by the distance. The mySQL equivalent being :-

SELECT * , (
SQRT( POW( 69.1 * ( latitude - 51.3814282 ) , 2 ) + POW( 69.1 * ( - 2.3574537 - longitude ) * COS( latitude / 57.3 ) , 2 ) )
) AS distance
FROM  `address` 
WHERE (
SQRT( POW( 69.1 * ( latitude - 51.3814282 ) , 2 ) + POW( 69.1 * ( - 2.3574537 - longitude ) * COS( latitude / 57.3 ) , 2 ) )
) < 10.0
ORDER BY distance DESC 
LIMIT 0 , 30

What is the best way to do this in Hibernate? I have tried createCriteria / createAlias ("distance","function")

Ideally I would like to do this post the restriction on Latmin and Latmax as that lowers the result set and thus the n开发者_开发知识库umber of calculations (also the sql does the same calculation twice :S) however any suggestions would be most appreciated.

Cheers, Rob

Hibernate supports native queries just for situations like this :)

EDIT**

I haven't tested it, but something like the following should work:

StringBuilder sql = new StringBuilder();

sql.append("SELECT *");
sql.append(", ( SQRT( POW( 69.1 * ( latitude - 51.3814282 ) , 2 ) + POW( 69.1 * ( - 2.3574537 - longitude ) * COS( latitude / 57.3 ) , 2 ) ) ) AS distance");
sql.append(" FROM  `address`");
sql.append(" WHERE ( SQRT( POW( 69.1 * ( latitude - 51.3814282 ) , 2 ) + POW( 69.1 * ( - 2.3574537 - longitude ) * COS( latitude / 57.3 ) , 2 ) ) ) < 10.0");
sql.append(" ORDER BY distance DESC");  
sql.append(" LIMIT 0 , 30");

SQLQuery query = session.createSQLQuery(sql.toString());
// call query.addScalar(..) for other fields you select
query.addScalar("distance", Hibernate.BIG_DECIMAL)

//Where AddressBean is the object that maps to a row of this resultset
query.setResultTransformer(Transformers.aliasToBean(AddressBean.class));

 List<AddressBean> list = new ArrayList<AddressBean>(100);
for (Object object : query.list()) {
    list.add((AddressBean)object);
}