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 <[email protected]>: > 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 <[email protected]>: > > 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 <[email protected]> >> wrote: >> >>> please include the output (solutions.txt) link too, to check what >>> happened >>> >>> 2014-07-08 16:24 GMT-03:00 Roberto Spadim <[email protected]>: >>> > http://www.netlib.org/lapack/lapacke.html >>> > a C api to lapack >>> > >>> > 2014-07-08 16:23 GMT-03:00 Roberto Spadim <[email protected]>: >>> >> 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 <[email protected]>: >>> >>> 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 <[email protected] >>> >: >>> >>>> 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 < >>> [email protected]> >>> >>>> wrote: >>> >>>>> >>> >>>>> ops, linear equation >>> >>>>> >>> >>>>> 2014-07-08 15:47 GMT-03:00 Roberto Spadim <[email protected]>: >>> >>>>> > 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 < >>> [email protected]>: >>> >>>>> >> 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 < >>> [email protected]> >>> >>>>> >> 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 < >>> [email protected]>: >>> >>>>> >>> > =] nice >>> >>>>> >>> > >>> >>>>> >>> > 2014-07-08 14:18 GMT-03:00 Anshu Avinash >>> >>>>> >>> > <[email protected]>: >>> >>>>> >>> >> 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 >>> >>>>> >>> >> <[email protected]> >>> >>>>> >>> >> wrote: >>> >>>>> >>> >>> >>> >>>>> >>> >>> could you 'display' the dataset you used with octave? >>> >>>>> >>> >>> >>> >>>>> >>> >>> 2014-07-08 13:55 GMT-03:00 Anshu Avinash >>> >>>>> >>> >>> <[email protected]>: >>> >>>>> >>> >>> > 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 >>> >>>>> >>> >>> > <[email protected]> >>> >>>>> >>> >>> > 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 >>> >>>>> >>> >>> >> <[email protected]>: >>> >>>>> >>> >>> >> > 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 >>> >>>>> >>> >>> >> > <[email protected]> >>> >>>>> >>> >>> >> > wrote: >>> >>>>> >>> >>> >> >> >>> >>>>> >>> >>> >> >> "Sorry this page does not exist =(" >>> >>>>> >>> >>> >> >> >>> >>>>> >>> >>> >> >> 2014-06-23 8:07 GMT-03:00 Anshu Avinash >>> >>>>> >>> >>> >> >> <[email protected]>: >>> >>>>> >>> >>> >> >> > 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 >>> >>>>> >>> >>> >> >> > <[email protected]> >>> >>>>> >>> >>> >> >> > 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 >>> >>>>> >>> >>> >> >> >> <[email protected]> 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 >>> >>>>> >>> >>> >> >> >>> <[email protected]> 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 >>> >>>>> >>> >>> >> >> >>> <[email protected]> >>> >>>>> >>> >>> >> >> >>> 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 >>> >>>>> >>> >>> >> >> >>> <[email protected]>: >>> >>>>> >>> >>> >> >> >>> >>> >>>>> >>> >>> >> >> >>> 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 >>> >>>>> >>> >>> >> >> >>> <[email protected]> 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 >>> >>>>> >>> >>> >> >> >>> <[email protected]> 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
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