maria-developers team mailing list archive

[Roberto Spadim <roberto@xxxxxxxxxxxxx>]

i didn't read the code yet, but some min/max problems can add restrictions
about variables, for example you could set that variables are >=0
must check but well that's a nice step guy :) a nice work :)


2014-08-04 13:31 GMT-03:00 Anshu Avinash <anshu.avinash35@xxxxxxxxx>:

> Hi all,
>
> Here is a blog post describing my progress so far:
> http://igniting.in/gsoc2014/2014/08/04/progress-so-far/
>
> Comments and suggestions are welcome.
>
> Regards
> Anshu Avinash
>
>
> On Wed, Jul 9, 2014 at 1:14 AM, Roberto Spadim <roberto@xxxxxxxxxxxxx>
> wrote:
>
>> please include the output (solutions.txt) link too, to check what happened
>>
>> 2014-07-08 16:24 GMT-03:00 Roberto Spadim <roberto@xxxxxxxxxxxxx>:
>> > http://www.netlib.org/lapack/lapacke.html
>> > a C api to lapack
>> >
>> > 2014-07-08 16:23 GMT-03:00 Roberto Spadim <roberto@xxxxxxxxxxxxx>:
>> >> check lapack lib, i used it some years ago, and it solve linear
>> >> equations, at least you don't waste time with 'how to solve linear
>> >> equations', if you want to study :) lapack was a nice lib, at least i
>> >> used without problems
>> >>
>> >> 2014-07-08 16:04 GMT-03:00 Roberto Spadim <roberto@xxxxxxxxxxxxx>:
>> >>> a1,a2 is what your solve equation function is saving?
>> >>> and you want know t1,t2,t3..t130, to understand how much time each
>> >>> 'read function' take, that's it?
>> >>>
>> >>> doing this, what's the next step? this is a start point to select
>> >>> what's better? index vs table scan?
>> >>>
>> >>>
>> >>>
>> >>> 2014-07-08 15:54 GMT-03:00 Anshu Avinash <anshu.avinash35@xxxxxxxxx>:
>> >>>> Hi,
>> >>>>
>> >>>> a1, a2, ..., a130 are coefficients. t1, t2, .., t130 are unknowns.
>> We need
>> >>>> 130 linearly independent equations to solve for these variables. We
>> can
>> >>>> never get 130 linearly independent equations as some of the
>> coefficients
>> >>>> would be 0 every time. Hence, we get an approximate solution by
>> forming an
>> >>>> overdetermined system (
>> http://en.wikipedia.org/wiki/Overdetermined_system).
>> >>>> Let me know if you have any further doubts.
>> >>>>
>> >>>> Regards
>> >>>> Anshu Avinash
>> >>>>
>> >>>>
>> >>>> On Wed, Jul 9, 2014 at 12:18 AM, Roberto Spadim <
>> roberto@xxxxxxxxxxxxx>
>> >>>> wrote:
>> >>>>>
>> >>>>> ops, linear equation
>> >>>>>
>> >>>>> 2014-07-08 15:47 GMT-03:00 Roberto Spadim <roberto@xxxxxxxxxxxxx>:
>> >>>>> > going back...
>> >>>>> > a1t1 + a2t2 + … + a130t130= ttotal
>> >>>>> >
>> >>>>> > a1, t1...
>> >>>>> >
>> >>>>> > a1 is something you don't know
>> >>>>> > t1 is the coefficients[i]?
>> >>>>> >
>> >>>>> > it's a first order equation, right?
>> >>>>> >
>> >>>>> >
>> >>>>> >
>> >>>>> > 2014-07-08 15:20 GMT-03:00 Anshu Avinash <
>> anshu.avinash35@xxxxxxxxx>:
>> >>>>> >> Hi,
>> >>>>> >>
>> >>>>> >> The idea is we know the total time the query took, and how many
>> times
>> >>>>> >> an
>> >>>>> >> operation was performed. For example, consider the case of
>> 'read_time'.
>> >>>>> >> We
>> >>>>> >> know how many times an index read took place, but don't know how
>> much
>> >>>>> >> time
>> >>>>> >> does it take to do an index read. By solving these equations, we
>> are
>> >>>>> >> trying
>> >>>>> >> to find out time for individual operations.
>> coefficients[i].value is
>> >>>>> >> `how
>> >>>>> >> many time the operation i took place in a single query.`
>> >>>>> >>
>> >>>>> >> Hope this clears things up.
>> >>>>> >>
>> >>>>> >> Regards
>> >>>>> >> Anshu Avinash
>> >>>>> >>
>> >>>>> >>
>> >>>>> >> On Tue, Jul 8, 2014 at 10:57 PM, Roberto Spadim <
>> roberto@xxxxxxxxxxxxx>
>> >>>>> >> wrote:
>> >>>>> >>>
>> >>>>> >>> just to understand...
>> >>>>> >>> --- the solve_equation part, today only used to save
>> information:
>> >>>>> >>>   std::ofstream datafile;
>> >>>>> >>>   char file_name[100];
>> >>>>> >>>   my_snprintf(file_name, 100,
>> >>>>> >>> "/tmp/mariadb_cost_coefficients_%lu.txt", thread_id);
>> >>>>> >>>   datafile.open(file_name, std::ios::app);
>> >>>>> >>>   for(int i=0; i < MAX_CONSTANTS; i++)
>> >>>>> >>>     datafile << coefficients[i].value << " ";
>> >>>>> >>>   datafile << total_time << "\n";
>> >>>>> >>>   datafile.close();
>> >>>>> >>> ----
>> >>>>> >>>
>> >>>>> >>> the idea is: given a query and some coefficients[i].value, you
>> got
>> >>>>> >>> total_time need to execute the query
>> >>>>> >>> you want to "train" something to tell you how many time the
>> same query
>> >>>>> >>> should execute?
>> >>>>> >>> or, what's the "x[i]" variables from your system (hardware/hard
>> >>>>> >>> disk/etc), and extend this to others queries?
>> >>>>> >>>
>> >>>>> >>>
>> >>>>> >>> 2014-07-08 14:20 GMT-03:00 Roberto Spadim <
>> roberto@xxxxxxxxxxxxx>:
>> >>>>> >>> > =] nice
>> >>>>> >>> >
>> >>>>> >>> > 2014-07-08 14:18 GMT-03:00 Anshu Avinash
>> >>>>> >>> > <anshu.avinash35@xxxxxxxxx>:
>> >>>>> >>> >> Hi all,
>> >>>>> >>> >>
>> >>>>> >>> >> You can download it here
>> >>>>> >>> >>
>> >>>>> >>> >>
>> >>>>> >>> >> (
>> https://drive.google.com/file/d/0B7NiQb4EbbUVNVJFZ2xkRVR3Ylk/edit?usp=sharing
>> ).
>> >>>>> >>> >> It is around 26M. I have added the link on blog too.
>> >>>>> >>> >>
>> >>>>> >>> >> Regards
>> >>>>> >>> >> Anshu
>> >>>>> >>> >>
>> >>>>> >>> >>
>> >>>>> >>> >> On Tue, Jul 8, 2014 at 10:38 PM, Roberto Spadim
>> >>>>> >>> >> <roberto@xxxxxxxxxxxxx>
>> >>>>> >>> >> wrote:
>> >>>>> >>> >>>
>> >>>>> >>> >>> could you 'display' the dataset you used with octave?
>> >>>>> >>> >>>
>> >>>>> >>> >>> 2014-07-08 13:55 GMT-03:00 Anshu Avinash
>> >>>>> >>> >>> <anshu.avinash35@xxxxxxxxx>:
>> >>>>> >>> >>> > Hi all,
>> >>>>> >>> >>> >
>> >>>>> >>> >>> > This week's blog post is at:
>> >>>>> >>> >>> >
>> http://igniting.in/gsoc2014/2014/07/08/solving-linear-equations/
>> >>>>> >>> >>> > .
>> >>>>> >>> >>> > Sorry
>> >>>>> >>> >>> > for
>> >>>>> >>> >>> > the delay.
>> >>>>> >>> >>> > Suggestions for an approach to solve the system of linear
>> >>>>> >>> >>> > equations
>> >>>>> >>> >>> > are
>> >>>>> >>> >>> > welcome.
>> >>>>> >>> >>> >
>> >>>>> >>> >>> > Regards
>> >>>>> >>> >>> > Anshu Avinash
>> >>>>> >>> >>> >
>> >>>>> >>> >>> >
>> >>>>> >>> >>> > On Mon, Jun 23, 2014 at 7:39 PM, Roberto Spadim
>> >>>>> >>> >>> > <roberto@xxxxxxxxxxxxx>
>> >>>>> >>> >>> > wrote:
>> >>>>> >>> >>> >>
>> >>>>> >>> >>> >> " MDEV. "
>> >>>>> >>> >>> >> it's nice to put full name (MDEV-350), since google and
>> others
>> >>>>> >>> >>> >> search
>> >>>>> >>> >>> >> engines help when someone try to find information about
>> mdev
>> >>>>> >>> >>> >> 350
>> >>>>> >>> >>> >>
>> >>>>> >>> >>> >> text is ok :)
>> >>>>> >>> >>> >>
>> >>>>> >>> >>> >> 2014-06-23 11:04 GMT-03:00 Anshu Avinash
>> >>>>> >>> >>> >> <anshu.avinash35@xxxxxxxxx>:
>> >>>>> >>> >>> >> > Hi,
>> >>>>> >>> >>> >> >
>> >>>>> >>> >>> >> > Sorry for the confusion, this is the new link:
>> >>>>> >>> >>> >> >
>> http://igniting.in/gsoc2014/2014/06/23/work-before-mid-term/
>> >>>>> >>> >>> >> > Thanks for pointing out.
>> >>>>> >>> >>> >> >
>> >>>>> >>> >>> >> > Regards
>> >>>>> >>> >>> >> > Anshu
>> >>>>> >>> >>> >> >
>> >>>>> >>> >>> >> >
>> >>>>> >>> >>> >> > On Mon, Jun 23, 2014 at 7:32 PM, Roberto Spadim
>> >>>>> >>> >>> >> > <roberto@xxxxxxxxxxxxx>
>> >>>>> >>> >>> >> > wrote:
>> >>>>> >>> >>> >> >>
>> >>>>> >>> >>> >> >> "Sorry this page does not exist =("
>> >>>>> >>> >>> >> >>
>> >>>>> >>> >>> >> >> 2014-06-23 8:07 GMT-03:00 Anshu Avinash
>> >>>>> >>> >>> >> >> <anshu.avinash35@xxxxxxxxx>:
>> >>>>> >>> >>> >> >> > Hi all,
>> >>>>> >>> >>> >> >> >
>> >>>>> >>> >>> >> >> > You can find this week's blog entry at:
>> >>>>> >>> >>> >> >> > http://igniting.in/2014/06/23/work-before-mid-term/
>> >>>>> >>> >>> >> >> > Suggestions/reviews are welcome.
>> >>>>> >>> >>> >> >> >
>> >>>>> >>> >>> >> >> > Regards
>> >>>>> >>> >>> >> >> > Anshu Avinash
>> >>>>> >>> >>> >> >> >
>> >>>>> >>> >>> >> >> >
>> >>>>> >>> >>> >> >> > On Mon, Jun 9, 2014 at 7:30 PM, Roberto Spadim
>> >>>>> >>> >>> >> >> > <roberto@xxxxxxxxxxxxx>
>> >>>>> >>> >>> >> >> > wrote:
>> >>>>> >>> >>> >> >> >>
>> >>>>> >>> >>> >> >> >> Well i wws reading your posts
>> >>>>> >>> >>> >> >> >> Do you need big data to test read and scan times?
>> >>>>> >>> >>> >> >> >>
>> >>>>> >>> >>> >> >> >> Em segunda-feira, 9 de junho de 2014, Anshu Avinash
>> >>>>> >>> >>> >> >> >> <anshu.avinash35@xxxxxxxxx> escreveu:
>> >>>>> >>> >>> >> >> >>
>> >>>>> >>> >>> >> >> >>> Hi all,
>> >>>>> >>> >>> >> >> >>>
>> >>>>> >>> >>> >> >> >>> You can find this week's blog entry at
>> >>>>> >>> >>> >> >> >>>
>> http://igniting.in/gsoc2014/2014/06/09/more-coding/. I'm
>> >>>>> >>> >>> >> >> >>> now
>> >>>>> >>> >>> >> >> >>> maintaining the
>> >>>>> >>> >>> >> >> >>> code only on github:
>> >>>>> >>> >>> >> >> >>>
>> >>>>> >>> >>> >> >> >>>
>> https://github.com/igniting/server/tree/selfTuningOptimizer.
>> >>>>> >>> >>> >> >> >>>
>> >>>>> >>> >>> >> >> >>> Regards
>> >>>>> >>> >>> >> >> >>> Anshu Avinash
>> >>>>> >>> >>> >> >> >>>
>> >>>>> >>> >>> >> >> >>>
>> >>>>> >>> >>> >> >> >>> On Sun, May 25, 2014 at 3:27 PM, Anshu Avinash
>> >>>>> >>> >>> >> >> >>> <anshu.avinash35@xxxxxxxxx> wrote:
>> >>>>> >>> >>> >> >> >>>
>> >>>>> >>> >>> >> >> >>> Hi all,
>> >>>>> >>> >>> >> >> >>>
>> >>>>> >>> >>> >> >> >>> You can find my this week's blog entry at
>> >>>>> >>> >>> >> >> >>>
>> http://igniting.in/gsoc2014/2014/05/25/coding-things-up/
>> >>>>> >>> >>> >> >> >>> . I
>> >>>>> >>> >>> >> >> >>> have
>> >>>>> >>> >>> >> >> >>> created a
>> >>>>> >>> >>> >> >> >>> branch on launchpad for my work:
>> >>>>> >>> >>> >> >> >>>
>> >>>>> >>> >>> >> >> >>>
>> >>>>> >>> >>> >> >> >>>
>> http://bazaar.launchpad.net/~igniting/maria/maria/revision/4211
>> >>>>> >>> >>> >> >> >>> .
>> >>>>> >>> >>> >> >> >>> You
>> >>>>> >>> >>> >> >> >>> can
>> >>>>> >>> >>> >> >> >>> give your suggestions/reviews either on this
>> thread or
>> >>>>> >>> >>> >> >> >>> as a
>> >>>>> >>> >>> >> >> >>> comment
>> >>>>> >>> >>> >> >> >>> on
>> >>>>> >>> >>> >> >> >>> the
>> >>>>> >>> >>> >> >> >>> blog itself.
>> >>>>> >>> >>> >> >> >>>
>> >>>>> >>> >>> >> >> >>> Regards
>> >>>>> >>> >>> >> >> >>> Anshu Avinash
>> >>>>> >>> >>> >> >> >>>
>> >>>>> >>> >>> >> >> >>>
>> >>>>> >>> >>> >> >> >>> On Tue, May 20, 2014 at 1:22 AM, Roberto Spadim
>> >>>>> >>> >>> >> >> >>> <roberto@xxxxxxxxxxxxx>
>> >>>>> >>> >>> >> >> >>> wrote:
>> >>>>> >>> >>> >> >> >>>
>> >>>>> >>> >>> >> >> >>> wow a big work, congratulation guy, i will read
>> part by
>> >>>>> >>> >>> >> >> >>> part
>> >>>>> >>> >>> >> >> >>> to
>> >>>>> >>> >>> >> >> >>> better
>> >>>>> >>> >>> >> >> >>> understand mariadb code
>> >>>>> >>> >>> >> >> >>>
>> >>>>> >>> >>> >> >> >>>
>> >>>>> >>> >>> >> >> >>> 2014-05-19 16:33 GMT-03:00 Anshu Avinash
>> >>>>> >>> >>> >> >> >>> <anshu.avinash35@xxxxxxxxx>:
>> >>>>> >>> >>> >> >> >>>
>> >>>>> >>> >>> >> >> >>> Hi all,
>> >>>>> >>> >>> >> >> >>>
>> >>>>> >>> >>> >> >> >>> This week's blog entry would get delayed by
>> couple of
>> >>>>> >>> >>> >> >> >>> days.
>> >>>>> >>> >>> >> >> >>> I
>> >>>>> >>> >>> >> >> >>> have
>> >>>>> >>> >>> >> >> >>> started coding though and would like to give
>> heads up on
>> >>>>> >>> >>> >> >> >>> what
>> >>>>> >>> >>> >> >> >>> I'm
>> >>>>> >>> >>> >> >> >>> doing.
>> >>>>> >>> >>> >> >> >>>
>> >>>>> >>> >>> >> >> >>> I've looked at the diffs for "Cost model project"
>> of
>> >>>>> >>> >>> >> >> >>> mysql:
>> >>>>> >>> >>> >> >> >>>
>> >>>>> >>> >>> >> >> >>>
>> >>>>> >>> >>> >> >> >>>
>> >>>>> >>> >>> >> >> >>>
>> http://bazaar.launchpad.net/~mysql/mysql-server/5.7/revision/7596
>> >>>>> >>> >>> >> >> >>> and
>> >>>>> >>> >>> >> >> >>>
>> >>>>> >>> >>> >> >> >>>
>> >>>>> >>> >>> >> >> >>>
>> >>>>> >>> >>> >> >> >>>
>> http://bazaar.launchpad.net/~mysql/mysql-server/5.7/revision/7222 .
>> >>>>> >>> >>> >> >> >>> These
>> >>>>> >>> >>> >> >> >>> give a pretty good idea about what are the
>> hard-coded
>> >>>>> >>> >>> >> >> >>> constants
>> >>>>> >>> >>> >> >> >>> and
>> >>>>> >>> >>> >> >> >>> where
>> >>>>> >>> >>> >> >> >>> are they being used.
>> >>>>> >>> >>> >> >> >>>
>> >>>>> >>> >>> >> >> >>> The idea is to multiply "READ_TIME_FACTOR" and
>> >>>>> >>> >>> >> >> >>> "SCAN_TIME_FACTOR"
>> >>>>> >>> >>> >> >> >>> to
>> >>>>> >>> >>> >> >> >>> the
>> >>>>> >>> >>> >> >> >>> values returned by read_time() and scan_time() in
>> >>>>> >>> >>> >> >> >>> handler.h,
>> >>>>> >>> >>> >> >> >>> while
>> >>>>> >>> >>> >> >> >>> returning. These values would be read from a
>> table in
>> >>>>> >>> >>> >> >> >>> mysql
>> >>>>> >>> >>> >> >> >>> db.
>> >>>>> >>> >>> >> >> >>> For
>> >>>>> >>> >>> >> >> >>> that
>> >>>>> >>> >>> >> >> >>> I've looked at sql_statistics.cc. After
>> completing this,
>> >>>>> >>> >>> >> >> >>> I'll
>> >>>>> >>> >>> >> >> >>> first
>> >>>>> >>> >>> >> >> >>> change
>> >>>>> >>> >>> >> >> >>> the values of these constants manually and check
>> if the
>> >>>>> >>> >>> >> >> >>> better
>> >>>>> >>> >>> >> >> >>> or
>> >>>>> >>> >>> >> >> >>> worse
>> >>>>> >>> >>> >> >> >>> query plans are being selected. I'll first do the
>> last
>> >>>>> >>> >>> >> >> >>> step
>> >>>>> >>> >>> >> >> >>> manually,
>> >>>>> >>> >>> >> >> >>> to
>> >>>>> >>> >>> >> >> >>> check if everything is working as expected and
>> later
>> >>>>> >>> >>> >> >> >>> automate
>> >>>>> >>> >>> >> >> >>> it.
>> >>>>> >>> >>> >> >> >>>
>> >>>>> >>> >>> >> >> >>> Regards
>> >>>>> >>> >>> >> >> >>> Anshu
>> >>>>> >>> >>> >> >> >>>
>> >>>>> >>> >>> >> >> >>>
>> >>>>> >>> >>> >> >> >>> On Mon, May 12, 2014 at 11:22 AM, Anshu Avinash
>> >>>>> >>> >>> >> >> >>> <anshu.avinash35@xxxxxxxxx> wrote:
>> >>>>> >>> >>> >> >> >>>
>> >>>>> >>> >>> >> >> >>> Hi all,
>> >>>>> >>> >>> >> >> >>>
>> >>>>> >>> >>> >> >> >>> You can find my blog entry for this week at
>> >>>>> >>> >>> >> >> >>>
>> http://igniting.in/gsoc2014/2014/05/11/first-steps/ .
>> >>>>> >>> >>> >> >> >>>
>> >>>>> >>> >>> >> >> >>> Regards
>> >>>>> >>> >>> >> >> >>> Anshu Avinash
>> >>>>> >>> >>> >> >> >>>
>> >>>>> >>> >>> >> >> >>>
>> >>>>> >>> >>> >> >> >>> On Thu, May 8, 2014 at 11:46 PM, Anshu Avinash
>> >>>>> >>> >>> >> >> >>> <anshu.avinash35@xxxxxxxxx> wrote:
>> >>>>> >>> >>> >> >> >>>
>> >>>>> >>> >>> >> >> >>> Hi all,
>> >>>>> >>> >>> >> >> >>>
>> >>>>> >>> >>> >> >> >>> Sorry for the irregular updates. I had been busy
>> for
>> >>>>> >>> >>> >> >> >>> last
>> >>>>> >>> >>> >> >> >>> couple
>> >>>>> >>> >>> >> >> >>> of
>> >>>>> >>> >>> >> >> >>> days
>> >>>>> >>> >>> >> >> >>> and might still be busy for 1-2 days more. I
>> would be
>> >>>>> >>> >>> >> >> >>> completely
>> >>>>> >>> >>> >> >> >>> free
>> >>>>> >>> >>> >> >> >>> starting next week, and would be updating my blog
>> weekly
>> >>>>> >>> >>> >> >> >>> on
>> >>>>> >>> >>> >> >> >>> every
>> >>>>> >>> >>> >> >> >>> Monday (so
>> >>>>> >>> >>> >> >> >>> 1st update would be on May 12). I would also send
>> the
>> >>>>> >>> >>> >> >> >>> link
>> >>>>> >>> >>> >> >> >>> of my
>> >>>>> >>> >>> >> >> >>> post
>> >>>>> >>> >>> >> >> >>> weekly
>> >>>>> >>> >>> >> >> >>> on the mailing list.
>> >>>>> >>> >>> >> >> >>>
>> >>>>> >>> >>> >> >> >>> As discussed on irc, I started to explore the
>> pair of
>> >>>>> >>> >>> >> >> >>> constants:
>> >>>>> >>> >>> >> >> >>> handler::scan_time() and handler::read_time().
>> >>>>> >>> >>> >> >> >>
>> >>>>> >>> >>> >> >> >>
>> >>>>> >>> >>> >> >> >>
>> >>>>> >>> >>> >> >> >> --
>> >>>>> >>> >>> >> >> >> Roberto Spadim
>> >>>>> >>> >>> >> >> >> SPAEmpresarial
>> >>>>> >>> >>> >> >> >> Eng. Automação e Controle
>> >>>>> >>> >>> >> >> >>
>> >>>>> >>> >>> >> >> >
>> >>>>> >>> >>> >> >>
>> >>>>> >>> >>> >> >>
>> >>>>> >>> >>> >> >>
>> >>>>> >>> >>> >> >> --
>> >>>>> >>> >>> >> >> Roberto Spadim
>> >>>>> >>> >>> >> >> SPAEmpresarial
>> >>>>> >>> >>> >> >> Eng. Automação e Controle
>> >>>>> >>> >>> >> >
>> >>>>> >>> >>> >> >
>> >>>>> >>> >>> >>
>> >>>>> >>> >>> >>
>> >>>>> >>> >>> >>
>> >>>>> >>> >>> >> --
>> >>>>> >>> >>> >> Roberto Spadim
>> >>>>> >>> >>> >> SPAEmpresarial
>> >>>>> >>> >>> >> Eng. Automação e Controle
>> >>>>> >>> >>> >
>> >>>>> >>> >>> >
>> >>>>> >>> >>>
>> >>>>> >>> >>>
>> >>>>> >>> >>>
>> >>>>> >>> >>> --
>> >>>>> >>> >>> Roberto Spadim
>> >>>>> >>> >>> SPAEmpresarial
>> >>>>> >>> >>> Eng. Automação e Controle
>> >>>>> >>> >>
>> >>>>> >>> >>
>> >>>>> >>> >
>> >>>>> >>> >
>> >>>>> >>> >
>> >>>>> >>> > --
>> >>>>> >>> > Roberto Spadim
>> >>>>> >>> > SPAEmpresarial
>> >>>>> >>> > Eng. Automação e Controle
>> >>>>> >>>
>> >>>>> >>>
>> >>>>> >>>
>> >>>>> >>> --
>> >>>>> >>> Roberto Spadim
>> >>>>> >>> SPAEmpresarial
>> >>>>> >>> Eng. Automação e Controle
>> >>>>> >>
>> >>>>> >>
>> >>>>> >
>> >>>>> >
>> >>>>> >
>> >>>>> > --
>> >>>>> > Roberto Spadim
>> >>>>> > SPAEmpresarial
>> >>>>> > Eng. Automação e Controle
>> >>>>>
>> >>>>>
>> >>>>>
>> >>>>> --
>> >>>>> Roberto Spadim
>> >>>>> SPAEmpresarial
>> >>>>> Eng. Automação e Controle
>> >>>>
>> >>>>
>> >>>
>> >>>
>> >>>
>> >>> --
>> >>> Roberto Spadim
>> >>> SPAEmpresarial
>> >>> Eng. Automação e Controle
>> >>
>> >>
>> >>
>> >> --
>> >> Roberto Spadim
>> >> SPAEmpresarial
>> >> Eng. Automação e Controle
>> >
>> >
>> >
>> > --
>> > Roberto Spadim
>> > SPAEmpresarial
>> > Eng. Automação e Controle
>>
>>
>>
>> --
>> Roberto Spadim
>> SPAEmpresarial
>> Eng. Automação e Controle
>>
>
>


-- 
Roberto Spadim
SPAEmpresarial
Eng. Automação e Controle