maria-developers team mailing list archive

[Roberto Spadim <roberto@xxxxxxxxxxxxx>]

if you have time, you could take a look at linear programming
lpsolve is a well know library, i used it a lot some years ago, there's
others libs but this one is well known, http://lpsolve.sourceforge.net/5.5/
maybe it give better results, instead of trying to solve a equation you
execute a aproximation (there's many optional parameters and others flags
about solving a linear problem with this lib)


2014-08-04 13:35 GMT-03:00 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
>



-- 
Roberto Spadim
SPAEmpresarial
Eng. Automação e Controle