number of fuzzy linkage programs. Anyone interested in some of the finer
inequalities to linear forms.
From: Ian Whitlock
Sent: Thursday, October 31, 2002 3:36 PM
Subject: Re: SQL Question - Doing equijoins and getting this log message
Sometimes there is no way to execute an SQL join without comparing every
record in the first set with every record in the second. There is nothing
wrong with this, but it may take a long time to execute. The message in
translation says, "None of my short cut tricks are going to work on this
problem the way you phrased it, I am using brute force to please you." If
you are satisfied with the performance, who cares? If you are not, then the
message tells you to modify the code so that it could apply a short cut, or
get another problem. Sometimes problems can only be solved with brute force
and you need to get a bigger and faster computer, or give up. (Say that for
the best formulation of the problem, the estimated CPU time is 1 century to
finish the task, then give up or at least wait a few years.)
An equi-join says that the WHERE condition can be structured as a request
that two entities be equal with possibly other conditions joined to the
equal condition by an AND. For example,
where x = y equi-join
where x = y and z > 5 equi-join
where x = y
and ( any kind of complexity you wish ) equi-join
where x = y or z > 5 not an equi-join
In the last case the restriction to Z > 5 might be so strong that you could
use a UNION in which the first part used X = Y equi-join and the second part
uses brute force but the remaining amount of data is so small that it
doesn't matter. Or possibly you might have extra information, say when Z >
5 then X = Y + 9. Again you could improve the performance with a UNION of
The significance of an equi-join is that at worst you can sort and merge.
This means there is a way to know when to stop comparing records, hence it
is usually more efficient that brute force where all pairs must be compared.
This does not necessarily mean faster execution, but it often does and the
computer doesn't see the necessity for resorting to brute force. For
example, you have
where x < y
So you create a new variable Z always 0 and then use the condition
where x < y and z = 0
Now you have an equi-join, but the new WHERE is not one bit better than the
previous one, because the equi-part adds no new information to the problem.
Howard Schreier is the master of rephrasing problems to introduce
equi-joins. My all time favorite occurred around 1993 when someone on SAS-L
posed the question of finding records with near values of X, say
where abs ( a.x - b.x ) <= 1
(I think the value was 2.3, but let's work with 1 anyway.) Howard saw that
the above implies one of the following is always true
round ( a.x , 1 ) = round ( b.x , 1 )
round ( a.x , 1 ) = round ( b.x , 1 ) + 1
round ( a.x , 1 ) = round ( b.x , 1 ) - 1
So he introduced a third data set, C, with 3 records having variable R in
(0, 1 , -1). The condition then became
where abs ( a.x - b.x ) < 1
and round ( a.x , 1 ) = round ( b.x , 1 ) + c.r
This speeded up the performance significantly.
Sent: Thursday, October 31, 2002 11:54 AM
Subject: SQL Question - Doing equijoins and getting this log message
I'm looking for some more information and an understanding of this message
in the log after running an sql program, matching each row of a table with
itself using a WHERE statement that prevents a row from matching with itself
or others before it in the order of the original rows (i.e. line1 > line2).
It's a modified program from the fuzzy matching programs put up on Charles
create table matches as
select t1.lineID as lineID1,t2.lineID as lineID2,
t1.idno as idno1, t2.idno as idno2,
from scenarios as t1, scenarios as t2
where t1.lineID < t2.LineID ;
I've searched the SAS-L archives and SAS Tech Support, and found some
interesting tidbits, but not any info on this specific log message.
Here is the message:
NOTE: The execution of this query involves performing one or more Cartesian
product joins that can not be optimized.
Is this a worry? Can this be corrected, if so?
Thanks for any input and/or opinions.
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