[R-br] [OFF] Biblioteca C para matrizes.
Benilton Carvalho
beniltoncarvalho em gmail.com
Segunda Agosto 13 15:31:46 BRT 2012
eh algum config...
Sent from a mobile device
On Aug 13, 2012 7:17 PM, "Pedro Rafael" <pedro.rafael.marinho em gmail.com>
wrote:
> Vou tentar procurar qual o arquivo que devo fazer essa alteração que
> você me informou.
> Obrigado.
> [ ],
> Pedro Rafael Diniz Marinho.
>
>
> Em 13 de agosto de 2012 05:53, beniltoncarvalho [via R-br]
> <ml-node+s2285057n4655847h34 em n4.nabble.com> escreveu:
> > mais provavel vc nao ter habilitado LAPACK/BLAS durante a compilacao
> > do Armadillo... ja' nao lembro exatamente o arquivo, mas ha' um q vc
> > precisa modificar manualmente (caso esteja fazendo a instalacao
> > manual) e deixar algo como
> >
> > define ARMA_USE_LAPACK
> > define ARMA_USE_BLAS
> >
> > b
> >
> > 2012/8/13 Pedro Rafael <[hidden email]>:
> >
> >> Será que é alguma coisa com o sistema operacional?
> >> [ ],
> >> Pedro Rafael Diniz Marinho.
> >>
> >>
> >> Em 12 de agosto de 2012 22:36, Pedro Rafael
> >> <[hidden email]> escreveu:
> >>> Tentei remover a biblioteca armadillo e instalar as dependências
> >>> necessárias e no final reinstalei.
> >>> [ ],
> >>> Pedro Rafael Diniz Marinho.
> >>>
> >>>
> >>> Em 12 de agosto de 2012 22:34, Pedro Rafael
> >>> <[hidden email]> escreveu:
> >>>> Valeu Benilton. O problema da compilação n ocorre. Possivelmente as
> >>>> bibliotecas necessárias estão instaladas. Ocorre erro na hora de
> >>>> executar o programa. O erro é:
> >>>>
> >>>> error: det(): use of ATLAS or LAPACK needs to be enabled
> >>>> terminate called after throwing an instance of 'std::logic_error'
> >>>> what():
> >>>> Abortado (imagem do núcleo gravada)
> >>>>
> >>>>
> >>>> [ ],
> >>>> Pedro Rafael Diniz Marinho.
> >>>>
> >>>>
> >>>> Em 12 de agosto de 2012 22:29, beniltoncarvalho [via R-br]
> >>>> <[hidden email]> escreveu:
> >>>>> auto correct fail
> >>>>>
> >>>>> -llapack -lblas
> >>>>>
> >>>>> Sent from a mobile device
> >>>>>
> >>>>> On Aug 13, 2012 2:11 AM, "Pedro Rafael" <[hidden email]> wrote:
> >>>>>>
> >>>>>> Olá Benilton, como vai? O programa que estou testando é bem simples.
> >>>>>> Na verdade a matriz é pequena, 5 por 5. Veja:
> >>>>>>
> >>>>>> #include<iostream>
> >>>>>> #include"armadillo"
> >>>>>>
> >>>>>> using namespace arma;
> >>>>>>
> >>>>>> int main()
> >>>>>> {
> >>>>>> mat A = randu<mat>(5,5);
> >>>>>> double x = det(A);
> >>>>>> return 0;
> >>>>>> }
> >>>>>>
> >>>>>> Compilei como você me indicou e obtive o seguinte erro.
> >>>>>>
> >>>>>> /usr/include/armadillo_bits/compiler_setup.hpp:117:6: warning:
> >>>>>> #warning "*** Detected GCC 4.7.0 / 4.7.1, which has a regression
> >>>>>> (bug)" [-Wcpp]
> >>>>>> /usr/include/armadillo_bits/compiler_setup.hpp:118:6: warning:
> >>>>>> #warning "*** See http://gcc.gnu.org/bugzilla/show_bug.cgi?id=53549
> >>>>>> " [-Wcpp]
> >>>>>> /usr/include/armadillo_bits/compiler_setup.hpp:119:6: warning:
> >>>>>> #warning "*** A partial workaround for the bug has been activated,
> >>>>>> " [-Wcpp]
> >>>>>> /usr/include/armadillo_bits/compiler_setup.hpp:120:6: warning:
> >>>>>> #warning "*** which reduces some functionality in fixed-size
> matrices
> >>>>>> " [-Wcpp]
> >>>>>> /usr/bin/ld: cannot find -lapack
> >>>>>> collect2: error: ld returned 1 exit status
> >>>>>>
> >>>>>>
> >>>>>> [ ],
> >>>>>> Pedro Rafael Diniz Marinho.
> >>>>>> Em 12 de agosto de 2012 22:06, beniltoncarvalho [via R-br]
> >>>>>> <[hidden email]> escreveu:
> >>>>>>
> >>>>>> > Vc precisa linkar p lapack blas
> >>>>>> >
> >>>>>> > g++ -O2 -lapack -lblas programa.cpp
> >>>>>> >
> >>>>>> > Obvio, não testado. Adicionalmente, p matriz grande vc deveria
> usar
> >>>>>> > log_det.
> >>>>>> >
> >>>>>> > Sent from a mobile device
> >>>>>> >
> >>>>>> > On Aug 13, 2012 12:44 AM, "Pedro Rafael" <[hidden email]> wrote:
> >>>>>> >>
> >>>>>> >> Pessoal estou tendo um problema com a biblioteca armadillo no
> >>>>>> >> linux
> >>>>>> >> fedora. Quando vou calcular o determinante de uma matriz muito
> >>>>>> >> pequena
> >>>>>> >> funciona mas quando a minha matriz é grande ocorre o seguinte
> erro:
> >>>>>> >>
> >>>>>> >> error: det(): use of ATLAS or LAPACK needs to be enabled
> >>>>>> >>
> >>>>>> >> Já instalei as bibliotecas cmake, blas-devel, lapack-devel,
> >>>>>> >> atlas-devel, boost-devel mas o erro permanece. Alguém já teve
> isso
> >>>>>> >> ou
> >>>>>> >> poderia dar uma dica de como corrigir esse problema?
> >>>>>> >>
> >>>>>> >> Obrigado,
> >>>>>> >> Pedro Rafael Diniz Marinho.
> >>>>>> >>
> >>>>>> >>
> >>>>>> >> Em 10 de agosto de 2012 23:58, Pedro Rafael
> >>>>>> >> <[hidden email]> escreveu:
> >>>>>> >>
> >>>>>> >> > Não compreendi os exemplos. Vou dar uma lida maior e buscar
> mais
> >>>>>> >> > coisas
> >>>>>> >> > na net.
> >>>>>> >> >
> >>>>>> >> > Obrigado,
> >>>>>> >> > Pedro Rafael Diniz Marinho.
> >>>>>> >> >
> >>>>>> >> >
> >>>>>> >> > Em 10 de agosto de 2012 23:04, beniltoncarvalho [via R-br]
> >>>>>> >> > <[hidden email]> escreveu:
> >>>>>> >>
> >>>>>> >> >> No básico do basico... Envolva sua função em um extern. Dai
> use
> >>>>>> >> >> o
> >>>>>> >> >> .Call
> >>>>>> >> >>
> >>>>>> >> >> Sent from a mobile device
> >>>>>> >> >>
> >>>>>> >> >> On Aug 11, 2012 2:42 AM, "Pedro Rafael" <[hidden email]>
> wrote:
> >>>>>> >> >>>
> >>>>>> >> >>> Interessante. Com o comando RcppArmadillo.package.skeleton é
> >>>>>> >> >>> possível
> >>>>>> >> >>> criar a estrutura de diretórios de um pacote R. Digamos que
> eu
> >>>>>> >> >>> tenha
> >>>>>> >> >>> um código C++ e queria arrumar ele para fazer um pacote para
> o
> >>>>>> >> >>> R.
> >>>>>> >> >>> Eu
> >>>>>> >> >>> queria entender como se da essa comunicação. Só a filosofia
> >>>>>> >> >>> mesmo.
> >>>>>> >> >>> Eu
> >>>>>> >> >>> entendo como criar um pacote do R utilizando o sistema de
> >>>>>> >> >>> orientação à
> >>>>>> >> >>> objeto S3 e sei que existe outras como S4 e R5. O que não
> >>>>>> >> >>> consigo
> >>>>>> >> >>> entender bem é como comunicar o código C/C++ com o R e como
> se
> >>>>>> >> >>> dá a
> >>>>>> >> >>> comunicação desses códigos (C/C++) com o R. Vi que posso
> chamar
> >>>>>> >> >>> códigos do R para o C++ mas acho que o mais interessante é o
> >>>>>> >> >>> contrário. Como chamar um código otimizado de C++ para R e
> >>>>>> >> >>> criar
> >>>>>> >> >>> um
> >>>>>> >> >>> pacote caso seja conveniente. Alguém poderia me dar um
> exemplo
> >>>>>> >> >>> com
> >>>>>> >> >>> uma
> >>>>>> >> >>> função bem simplória só para entender por alto como funciona?
> >>>>>> >> >>>
> >>>>>> >> >>> Obrigado,
> >>>>>> >> >>> Pedro Rafael Diniz Marinho.
> >>>>>> >> >>>
> >>>>>> >> >>>
> >>>>>> >> >>> Em 10 de agosto de 2012 22:23, beniltoncarvalho [via R-br]
> >>>>>> >> >>> <[hidden email]> escreveu:
> >>>>>> >> >>>
> >>>>>> >> >>> > Sim. Mas antes de qualquer coisa, veja o pacote
> RcppArmadillo
> >>>>>> >> >>> > e
> >>>>>> >> >>> > os
> >>>>>> >> >>> > documentos de ajuda associados. b
> >>>>>> >> >>> >
> >>>>>> >> >>> > 2012/8/11 Pedro Rafael <[hidden email]>:
> >>>>>> >> >>> >
> >>>>>> >> >>> >> Uma última dúvida. É fácil integrar códigos C++ com o R?
> >>>>>> >> >>> >> Utilizei
> >>>>>> >> >>> >> as
> >>>>>> >> >>> >> funções .C() e .Call() para chamar comandos em C para R.
> >>>>>> >> >>> >> Nunca
> >>>>>> >> >>> >> tentei
> >>>>>> >> >>> >> utilizando C++. A construção de pacotes R feitos
> utilizando
> >>>>>> >> >>> >> funções
> >>>>>> >> >>> >> escritas em C++ também é tranquila?
> >>>>>> >> >>> >>
> >>>>>> >> >>> >>
> >>>>>> >> >>> >> Obrigado,
> >>>>>> >> >>> >> Pedro Rafael Diniz Marinho.
> >>>>>> >> >>> >>
> >>>>>> >> >>> >>
> >>>>>> >> >>> >> Em 10 de agosto de 2012 22:04, Pedro Rafael
> >>>>>> >> >>> >> <[hidden email]> escreveu:
> >>>>>> >> >>> >>> Que legal Benilton, vou olhar bem esse pacote. Muito
> >>>>>> >> >>> >>> obrigado
> >>>>>> >> >>> >>> pelas
> >>>>>> >> >>> >>> informações. Vou brincar um pouco com esse pacote.
> >>>>>> >> >>> >>> Procurei na
> >>>>>> >> >>> >>> web
> >>>>>> >> >>> >>> outros pacotes de álgebra linear para C++ mas me parece
> que
> >>>>>> >> >>> >>> esse é
> >>>>>> >> >>> >>> o
> >>>>>> >> >>> >>> pacote livre mais completo.
> >>>>>> >> >>> >>> [ ],
> >>>>>> >> >>> >>> Pedro Rafael Diniz Marinho.
> >>>>>> >> >>> >>>
> >>>>>> >> >>> >>>
> >>>>>> >> >>> >>> Em 10 de agosto de 2012 21:31, beniltoncarvalho [via
> R-br]
> >>>>>> >> >>> >>> <[hidden email]> escreveu:
> >>>>>> >> >>> >>>> Se vc gostou do Armadillo, divirta-se com o pacote
> >>>>>> >> >>> >>>> RcppArmadillo.
> >>>>>> >> >>> >>>> b
> >>>>>> >> >>> >>>>
> >>>>>> >> >>> >>>> 2012/8/11 Pedro Rafael <[hidden email]>:
> >>>>>> >> >>> >>>>
> >>>>>> >> >>> >>>>> Obrigado Prof. Paulo pela informação, me ajudou
> bastante.
> >>>>>> >> >>> >>>>> Eu
> >>>>>> >> >>> >>>>> gostei
> >>>>>> >> >>> >>>>> muito Benilton da biblioteca de álgebra linear
> >>>>>> >> >>> >>>>> "armadillo".
> >>>>>> >> >>> >>>>> Muito
> >>>>>> >> >>> >>>>> mais
> >>>>>> >> >>> >>>>> fácil que a GSL. Eu acho desorganizado os códigos C. O
> >>>>>> >> >>> >>>>> problema
> >>>>>> >> >>> >>>>> que
> >>>>>> >> >>> >>>>> quando escrevo algum código matemático em C++ sempre
> tem
> >>>>>> >> >>> >>>>> uma
> >>>>>> >> >>> >>>>> estrutura
> >>>>>> >> >>> >>>>> procedural, deve ser o vício que tenho do C. Acabo
> usando
> >>>>>> >> >>> >>>>> quase
> >>>>>> >> >>> >>>>> nada
> >>>>>> >> >>> >>>>> de Classes, Heranças, Polimorfismo, etc. Contudo, acho
> >>>>>> >> >>> >>>>> interessante
> >>>>>> >> >>> >>>>> a
> >>>>>> >> >>> >>>>> facilidade de se trabalhar com vetores, matrizes e
> >>>>>> >> >>> >>>>> alocação
> >>>>>> >> >>> >>>>> dinâmica
> >>>>>> >> >>> >>>>> utilizando C++.
> >>>>>> >> >>> >>>>> [ ],
> >>>>>> >> >>> >>>>> Pedro Rafael Diniz Marinho.
> >>>>>> >> >>> >>>>>
> >>>>>> >> >>> >>>>>
> >>>>>> >> >>> >>>>> Em 10 de agosto de 2012 20:28, beniltoncarvalho [via
> >>>>>> >> >>> >>>>> R-br]
> >>>>>> >> >>> >>>>> <[hidden email]> escreveu:
> >>>>>> >> >>> >>>>>> Pedro,
> >>>>>> >> >>> >>>>>>
> >>>>>> >> >>> >>>>>> Há muito deixei de procurar 'a linguagem mais
> <escolha o
> >>>>>> >> >>> >>>>>> adjetivo>
> >>>>>> >> >>> >>>>>> para <escolha a tarefa>'. Fico contente em usar
> qualquer
> >>>>>> >> >>> >>>>>> linguagem
> >>>>>> >> >>> >>>>>> que
> >>>>>> >> >>> >>>>>> se mostre util e nao me force a reinventar a roda.
> Dito
> >>>>>> >> >>> >>>>>> isso,
> >>>>>> >> >>> >>>>>> nao
> >>>>>> >> >>> >>>>>> vejo
> >>>>>> >> >>> >>>>>> la essas diferencas entre C ou C++. E' obvio que algum
> >>>>>> >> >>> >>>>>> especialista
> >>>>>> >> >>> >>>>>> em
> >>>>>> >> >>> >>>>>> alguma delas encontrara' inumeros casos que servem de
> >>>>>> >> >>> >>>>>> contra-exemplo;
> >>>>>> >> >>> >>>>>> mas enqto ele faz isso, eu sigo adiante resolvendo
> >>>>>> >> >>> >>>>>> outros
> >>>>>> >> >>> >>>>>> problemas.
> >>>>>> >> >>> >>>>>>
> >>>>>> >> >>> >>>>>> b
> >>>>>> >> >>> >>>>>>
> >>>>>> >> >>> >>>>>> 2012/8/10 Paulo Justiniano <[hidden email]>:
> >>>>>> >> >>> >>>>>>
> >>>>>> >> >>> >>>>>>> Pedro
> >>>>>> >> >>> >>>>>>>
> >>>>>> >> >>> >>>>>>> quando se diz em evitar inverter matrizes é porque
> >>>>>> >> >>> >>>>>>> muitas
> >>>>>> >> >>> >>>>>>> contas
> >>>>>> >> >>> >>>>>>> podem
> >>>>>> >> >>> >>>>>>> ser
> >>>>>> >> >>> >>>>>>> feitas sem a inversao explícita
> >>>>>> >> >>> >>>>>>>
> >>>>>> >> >>> >>>>>>> Por exemplo, a conta
> >>>>>> >> >>> >>>>>>>
> >>>>>> >> >>> >>>>>>> X'V^{-1}X
> >>>>>> >> >>> >>>>>>>
> >>>>>> >> >>> >>>>>>> pode ser feita evitando inversao a partir da cholesky
> >>>>>> >> >>> >>>>>>> de V
> >>>>>> >> >>> >>>>>>> que pode ser aproveitada de calculos anteriores uma
> vez
> >>>>>> >> >>> >>>>>>> que
> >>>>>> >> >>> >>>>>>> já
> >>>>>> >> >>> >>>>>>> deve
> >>>>>> >> >>> >>>>>>> ter
> >>>>>> >> >>> >>>>>>> sido
> >>>>>> >> >>> >>>>>>> calculada antes para obter as estimativas
> >>>>>> >> >>> >>>>>>>
> >>>>>> >> >>> >>>>>>> No exemplo
> >>>>>> >> >>> >>>>>>>
> >>>>>> >> >>> >>>>>>> cV <- chol(V)
> >>>>>> >> >>> >>>>>>> crossprod(backsolve(cV, X, transpose=T))
> >>>>>> >> >>> >>>>>>>
> >>>>>> >> >>> >>>>>>> isto é ***muito*** mais rapido (compare com
> >>>>>> >> >>> >>>>>>> system.time())
> >>>>>> >> >>> >>>>>>> do que
> >>>>>> >> >>> >>>>>>>
> >>>>>> >> >>> >>>>>>> t(X) %*% solve(V) %*% X
> >>>>>> >> >>> >>>>>>>
> >>>>>> >> >>> >>>>>>>
> >>>>>> >> >>> >>>>>>>
> >>>>>> >> >>> >>>>>>>
> >>>>>> >> >>> >>>>>>> On Thu, 9 Aug 2012, Pedro Rafael wrote:
> >>>>>> >> >>> >>>>>>>
> >>>>>> >> >>> >>>>>>>> Com respeito a evitar de trabalhar com inversas de
> >>>>>> >> >>> >>>>>>>> matrizes é
> >>>>>> >> >>> >>>>>>>> fato
> >>>>>> >> >>> >>>>>>>> mas
> >>>>>> >> >>> >>>>>>>> infelizmente tenho que trabalhar. Para trabalhar com
> >>>>>> >> >>> >>>>>>>> modelos
> >>>>>> >> >>> >>>>>>>> de
> >>>>>> >> >>> >>>>>>>> regressão heterocedásticos vou precisar de cálculo
> de
> >>>>>> >> >>> >>>>>>>> inversas de
> >>>>>> >> >>> >>>>>>>> matrizes para o cálculo da estrutura de covariância
> de
> >>>>>> >> >>> >>>>>>>> tal
> >>>>>> >> >>> >>>>>>>> estimador.
> >>>>>> >> >>> >>>>>>>> [ ],
> >>>>>> >> >>> >>>>>>>> Pedro Rafael Diniz Marinho.
> >>>>>> >> >>> >>>>>>>>
> >>>>>> >> >>> >>>>>>>>
> >>>>>> >> >>> >>>>>>>> Em 9 de agosto de 2012 17:02, Pedro Rafael
> >>>>>> >> >>> >>>>>>>> <[hidden email]> escreveu:
> >>>>>> >> >>> >>>>>>>>>
> >>>>>> >> >>> >>>>>>>>> Verdade Benilton inverter matrizes requer um custo
> >>>>>> >> >>> >>>>>>>>> computacional
> >>>>>> >> >>> >>>>>>>>> bastante elevado. Atualmente programo em C e
> >>>>>> >> >>> >>>>>>>>> programei
> >>>>>> >> >>> >>>>>>>>> muito
> >>>>>> >> >>> >>>>>>>>> pouco
> >>>>>> >> >>> >>>>>>>>> em
> >>>>>> >> >>> >>>>>>>>> C++ por curiosidade. Você acreditar que códigos em
> >>>>>> >> >>> >>>>>>>>> C++
> >>>>>> >> >>> >>>>>>>>> perdem
> >>>>>> >> >>> >>>>>>>>> muito
> >>>>>> >> >>> >>>>>>>>> desempenho em comparação à C considerando que a
> >>>>>> >> >>> >>>>>>>>> programação
> >>>>>> >> >>> >>>>>>>>> em
> >>>>>> >> >>> >>>>>>>>> ambas
> >>>>>> >> >>> >>>>>>>>> as linguagens sejam eficientes? Você tem boas
> >>>>>> >> >>> >>>>>>>>> experiências
> >>>>>> >> >>> >>>>>>>>> na
> >>>>>> >> >>> >>>>>>>>> utilização de C++ para programação estatística e
> para
> >>>>>> >> >>> >>>>>>>>> uso
> >>>>>> >> >>> >>>>>>>>> em
> >>>>>> >> >>> >>>>>>>>> simulações?
> >>>>>> >> >>> >>>>>>>>>
> >>>>>> >> >>> >>>>>>>>> Gostei bastante dessa biblioteca que você me
> passou,
> >>>>>> >> >>> >>>>>>>>> muito
> >>>>>> >> >>> >>>>>>>>> interessante. Não conhecia. A única biblioteca para
> >>>>>> >> >>> >>>>>>>>> álgebra
> >>>>>> >> >>> >>>>>>>>> linear
> >>>>>> >> >>> >>>>>>>>> livre que eu conhecia era a GSL.
> >>>>>> >> >>> >>>>>>>>>
> >>>>>> >> >>> >>>>>>>>> [ ],
> >>>>>> >> >>> >>>>>>>>> Pedro Rafael Diniz Marinho.
> >>>>>> >> >>> >>>>>>>>>
> >>>>>> >> >>> >>>>>>>>>
> >>>>>> >> >>> >>>>>>>>> Em 9 de agosto de 2012 15:58, beniltoncarvalho [via
> >>>>>> >> >>> >>>>>>>>> R-br]
> >>>>>> >> >>> >>>>>>>>> <[hidden email]> escreveu:
> >>>>>> >> >>> >>>>>>>>>>
> >>>>>> >> >>> >>>>>>>>>> Eu ainda sou do time "se vc esta' invertendo
> matriz,
> >>>>>> >> >>> >>>>>>>>>> entao
> >>>>>> >> >>> >>>>>>>>>> vc
> >>>>>> >> >>> >>>>>>>>>> esta'
> >>>>>> >> >>> >>>>>>>>>> fazendo algo errado"...
> >>>>>> >> >>> >>>>>>>>>>
> >>>>>> >> >>> >>>>>>>>>> Em C++, vc vai querer olhar o que Armadillo tem a
> >>>>>> >> >>> >>>>>>>>>> oferecer.
> >>>>>> >> >>> >>>>>>>>>>
> >>>>>> >> >>> >>>>>>>>>> b
> >>>>>> >> >>> >>>>>>>>>>
> >>>>>> >> >>> >>>>>>>>>> 2012/8/9 Pedro Rafael <[hidden email]>:
> >>>>>> >> >>> >>>>>>>>>>
> >>>>>> >> >>> >>>>>>>>>>> Pessoal gostaria de saber qual uma boa biblioteca
> >>>>>> >> >>> >>>>>>>>>>> livre
> >>>>>> >> >>> >>>>>>>>>>> de
> >>>>>> >> >>> >>>>>>>>>>> C
> >>>>>> >> >>> >>>>>>>>>>> para
> >>>>>> >> >>> >>>>>>>>>>> trabalhar com operações matriciais como inversas
> e
> >>>>>> >> >>> >>>>>>>>>>> produtos de
> >>>>>> >> >>> >>>>>>>>>>> matrizes. Qualquer dica será interessante.
> >>>>>> >> >>> >>>>>>>>>>>
> >>>>>> >> >>> >>>>>>>>>>> [ ] Pedro Rafael Diniz Marinho.
> >>>>>> >> >>> >>>>>>>>>>> _______________________________________________
> >>>>>> >> >>> >>>>>>>>>>> R-br mailing list
> >>>>>> >> >>> >>>>>>>>>>> [hidden email]
> >>>>>> >> >>> >>>>>>>>>>>
> >>>>>> >> >>> >>>>>>>>>>>
> >>>>>> >> >>> >>>>>>>>>>>
> https://listas.inf.ufpr.br/cgi-bin/mailman/listinfo/r-br
> >>>>>> >> >>> >>>>>>>>>>> Leia o guia de postagem
> >>>>>> >> >>> >>>>>>>>>>> (http://www.leg.ufpr.br/r-br-guia)
> >>>>>> >> >>> >>>>>>>>>>> e
> >>>>>> >> >>> >>>>>>>>>>> forneça
> >>>>>> >> >>> >>>>>>>>>>> código mínimo reproduzível.
> >>>>>> >> >>> >>>>>>>>>>
> >>>>>> >> >>> >>>>>>>>>> _______________________________________________
> >>>>>> >> >>> >>>>>>>>>> R-br mailing list
> >>>>>> >> >>> >>>>>>>>>> [hidden email]
> >>>>>> >> >>> >>>>>>>>>>
> >>>>>> >> >>> >>>>>>>>>>
> https://listas.inf.ufpr.br/cgi-bin/mailman/listinfo/r-br
> >>>>>> >> >>> >>>>>>>>>> Leia o guia de postagem
> >>>>>> >> >>> >>>>>>>>>> (http://www.leg.ufpr.br/r-br-guia)
> >>>>>> >> >>> >>>>>>>>>> e
> >>>>>> >> >>> >>>>>>>>>> forneça
> >>>>>> >> >>> >>>>>>>>>> código
> >>>>>> >> >>> >>>>>>>>>> mínimo reproduzível.
> >>>>>> >> >>> >>>>>>>>>>
> >>>>>> >> >>> >>>>>>>>>>
> >>>>>> >> >>> >>>>>>>>>> ________________________________
> >>>>>> >> >>> >>>>>>>>>> If you reply to this email, your message will be
> >>>>>> >> >>> >>>>>>>>>> added
> >>>>>> >> >>> >>>>>>>>>> to
> >>>>>> >> >>> >>>>>>>>>> the
> >>>>>> >> >>> >>>>>>>>>> discussion
> >>>>>> >> >>> >>>>>>>>>> below:
> >>>>>> >> >>> >>>>>>>>>>
> >>>>>> >> >>> >>>>>>>>>>
> >>>>>> >> >>> >>>>>>>>>>
> >>>>>> >> >>> >>>>>>>>>>
> >>>>>> >> >>> >>>>>>>>>>
> >>>>>> >> >>> >>>>>>>>>>
> >>>>>> >> >>> >>>>>>>>>>
> >>>>>> >> >>> >>>>>>>>>>
> >>>>>> >> >>> >>>>>>>>>>
> http://r-br.2285057.n4.nabble.com/R-br-OFF-Biblioteca-C-para-matrizes-tp4655808p4655810.html
> >>>>>> >> >>> >>>>>>>>>> To unsubscribe from R-br, click here.
> >>>>>> >> >>> >>>>>>>>>> NAML
> >>>>>> >> >>> >>>>>>>>
> >>>>>> >> >>> >>>>>>>> _______________________________________________
> >>>>>> >> >>> >>>>>>>> R-br mailing list
> >>>>>> >> >>> >>>>>>>> [hidden email]
> >>>>>> >> >>> >>>>>>>>
> >>>>>> >> >>> >>>>>>>>
> https://listas.inf.ufpr.br/cgi-bin/mailman/listinfo/r-br
> >>>>>> >> >>> >>>>>>>> Leia o guia de postagem
> >>>>>> >> >>> >>>>>>>> (http://www.leg.ufpr.br/r-br-guia)
> >>>>>> >> >>> >>>>>>>> e
> >>>>>> >> >>> >>>>>>>> forneça
> >>>>>> >> >>> >>>>>>>> código mínimo reproduzível.
> >>>>>> >> >>> >>>>>>>
> >>>>>> >> >>> >>>>>>>
> >>>>>> >> >>> >>>>>>> _______________________________________________
> >>>>>> >> >>> >>>>>>> R-br mailing list
> >>>>>> >> >>> >>>>>>> [hidden email]
> >>>>>> >> >>> >>>>>>>
> >>>>>> >> >>> >>>>>>>
> https://listas.inf.ufpr.br/cgi-bin/mailman/listinfo/r-br
> >>>>>> >> >>> >>>>>>> Leia o guia de postagem
> >>>>>> >> >>> >>>>>>> (http://www.leg.ufpr.br/r-br-guia)
> >>>>>> >> >>> >>>>>>> e
> >>>>>> >> >>> >>>>>>> forneça
> >>>>>> >> >>> >>>>>>> código
> >>>>>> >> >>> >>>>>>> mínimo reproduzível.
> >>>>>> >> >>> >>>>>> _______________________________________________
> >>>>>> >> >>> >>>>>> R-br mailing list
> >>>>>> >> >>> >>>>>> [hidden email]
> >>>>>> >> >>> >>>>>>
> https://listas.inf.ufpr.br/cgi-bin/mailman/listinfo/r-br
> >>>>>> >> >>> >>>>>> Leia o guia de postagem
> >>>>>> >> >>> >>>>>> (http://www.leg.ufpr.br/r-br-guia) e
> >>>>>> >> >>> >>>>>> forneça
> >>>>>> >> >>> >>>>>> código
> >>>>>> >> >>> >>>>>> mínimo reproduzível.
> >>>>>> >> >>> >>>>>>
> >>>>>> >> >>> >>>>>>
> >>>>>> >> >>> >>>>>> ________________________________
> >>>>>> >> >>> >>>>>> If you reply to this email, your message will be added
> >>>>>> >> >>> >>>>>> to
> >>>>>> >> >>> >>>>>> the
> >>>>>> >> >>> >>>>>> discussion
> >>>>>> >> >>> >>>>>> below:
> >>>>>> >> >>> >>>>>>
> >>>>>> >> >>> >>>>>>
> >>>>>> >> >>> >>>>>>
> >>>>>> >> >>> >>>>>>
> >>>>>> >> >>> >>>>>>
> >>>>>> >> >>> >>>>>>
> >>>>>> >> >>> >>>>>>
> http://r-br.2285057.n4.nabble.com/R-br-OFF-Biblioteca-C-para-matrizes-tp4655808p4655826.html
> >>>>>> >> >>> >>>>>> To unsubscribe from R-br, click here.
> >>>>>> >> >>> >>>>>> NAML
> >>>>>> >> >>> >>>>> _______________________________________________
> >>>>>> >> >>> >>>>> R-br mailing list
> >>>>>> >> >>> >>>>> [hidden email]
> >>>>>> >> >>> >>>>>
> https://listas.inf.ufpr.br/cgi-bin/mailman/listinfo/r-br
> >>>>>> >> >>> >>>>> Leia o guia de postagem
> >>>>>> >> >>> >>>>> (http://www.leg.ufpr.br/r-br-guia) e
> >>>>>> >> >>> >>>>> forneça
> >>>>>> >> >>> >>>>> código mínimo reproduzível.
> >>>>>> >> >>> >>>> _______________________________________________
> >>>>>> >> >>> >>>> R-br mailing list
> >>>>>> >> >>> >>>> [hidden email]
> >>>>>> >> >>> >>>>
> https://listas.inf.ufpr.br/cgi-bin/mailman/listinfo/r-br
> >>>>>> >> >>> >>>> Leia o guia de postagem (
> http://www.leg.ufpr.br/r-br-guia)
> >>>>>> >> >>> >>>> e
> >>>>>> >> >>> >>>> forneça
> >>>>>> >> >>> >>>> código
> >>>>>> >> >>> >>>> mínimo reproduzível.
> >>>>>> >> >>> >>>>
> >>>>>> >> >>> >>>>
> >>>>>> >> >>> >>>> ________________________________
> >>>>>> >> >>> >>>> If you reply to this email, your message will be added
> to
> >>>>>> >> >>> >>>> the
> >>>>>> >> >>> >>>> discussion
> >>>>>> >> >>> >>>> below:
> >>>>>> >> >>> >>>>
> >>>>>> >> >>> >>>>
> >>>>>> >> >>> >>>>
> >>>>>> >> >>> >>>>
> >>>>>> >> >>> >>>>
> >>>>>> >> >>> >>>>
> http://r-br.2285057.n4.nabble.com/R-br-OFF-Biblioteca-C-para-matrizes-tp4655808p4655830.html
> >>>>>> >> >>> >>>> To unsubscribe from R-br, click here.
> >>>>>> >> >>> >>>> NAML
> >>>>>> >> >>> >> _______________________________________________
> >>>>>> >> >>> >> R-br mailing list
> >>>>>> >> >>> >> [hidden email]
> >>>>>> >> >>> >> https://listas.inf.ufpr.br/cgi-bin/mailman/listinfo/r-br
> >>>>>> >> >>> >> Leia o guia de postagem (http://www.leg.ufpr.br/r-br-guia)
> e
> >>>>>> >> >>> >> forneça
> >>>>>> >> >>> >> código mínimo reproduzível.
> >>>>>> >> >>> > _______________________________________________
> >>>>>> >> >>> > R-br mailing list
> >>>>>> >> >>> > [hidden email]
> >>>>>> >> >>> > https://listas.inf.ufpr.br/cgi-bin/mailman/listinfo/r-br
> >>>>>> >> >>> > Leia o guia de postagem (http://www.leg.ufpr.br/r-br-guia)
> e
> >>>>>> >> >>> > forneça
> >>>>>> >> >>> > código
> >>>>>> >> >>> > mínimo reproduzível.
> >>>>>> >> >>> >
> >>>>>> >> >>> >
> >>>>>> >> >>> > ________________________________
> >>>>>> >> >>> > If you reply to this email, your message will be added to
> the
> >>>>>> >> >>> > discussion
> >>>>>> >> >>> > below:
> >>>>>> >> >>> >
> >>>>>> >> >>> >
> >>>>>> >> >>> >
> >>>>>> >> >>> >
> >>>>>> >> >>> >
> http://r-br.2285057.n4.nabble.com/R-br-OFF-Biblioteca-C-para-matrizes-tp4655808p4655833.html
> >>>>>> >> >>> > To unsubscribe from R-br, click here.
> >>>>>> >> >>> > NAML
> >>>>>> >> >>> _______________________________________________
> >>>>>> >> >>> R-br mailing list
> >>>>>> >> >>> [hidden email]
> >>>>>> >> >>> https://listas.inf.ufpr.br/cgi-bin/mailman/listinfo/r-br
> >>>>>> >> >>> Leia o guia de postagem (http://www.leg.ufpr.br/r-br-guia) e
> >>>>>> >> >>> forneça
> >>>>>> >> >>> código mínimo reproduzível.
> >>>>>> >> >>
> >>>>>> >> >>
> >>>>>> >> >> _______________________________________________
> >>>>>> >> >> R-br mailing list
> >>>>>> >> >> [hidden email]
> >>>>>> >> >> https://listas.inf.ufpr.br/cgi-bin/mailman/listinfo/r-br
> >>>>>> >> >> Leia o guia de postagem (http://www.leg.ufpr.br/r-br-guia) e
> >>>>>> >> >> forneça
> >>>>>> >> >> código
> >>>>>> >> >> mínimo reproduzível.
> >>>>>> >> >>
> >>>>>> >> >> ________________________________
> >>>>>> >> >> If you reply to this email, your message will be added to the
> >>>>>> >> >> discussion
> >>>>>> >> >> below:
> >>>>>> >> >>
> >>>>>> >> >>
> >>>>>> >> >>
> >>>>>> >> >>
> http://r-br.2285057.n4.nabble.com/R-br-OFF-Biblioteca-C-para-matrizes-tp4655808p4655836.html
> >>>>>> >> >> To unsubscribe from R-br, click here.
> >>>>>> >> >> NAML
> >>>>>> >> _______________________________________________
> >>>>>> >> R-br mailing list
> >>>>>> >> [hidden email]
> >>>>>> >> https://listas.inf.ufpr.br/cgi-bin/mailman/listinfo/r-br
> >>>>>> >> Leia o guia de postagem (http://www.leg.ufpr.br/r-br-guia) e
> >>>>>> >> forneça
> >>>>>> >> código mínimo reproduzível.
> >>>>>> >
> >>>>>> >
> >>>>>> > _______________________________________________
> >>>>>> > R-br mailing list
> >>>>>> > [hidden email]
> >>>>>> > https://listas.inf.ufpr.br/cgi-bin/mailman/listinfo/r-br
> >>>>>> > Leia o guia de postagem (http://www.leg.ufpr.br/r-br-guia) e
> forneça
> >>>>>> > código
> >>>>>> > mínimo reproduzível.
> >>>>>> >
> >>>>>> > ________________________________
> >>>>>> > If you reply to this email, your message will be added to the
> >>>>>> > discussion
> >>>>>> > below:
> >>>>>> >
> >>>>>> >
> >>>>>> >
> http://r-br.2285057.n4.nabble.com/R-br-OFF-Biblioteca-C-para-matrizes-tp4655808p4655841.html
> >>>>>> > To unsubscribe from R-br, click here.
> >>>>>> > NAML
> >>>>>> _______________________________________________
> >>>>>> R-br mailing list
> >>>>>> [hidden email]
> >>>>>> https://listas.inf.ufpr.br/cgi-bin/mailman/listinfo/r-br
> >>>>>> Leia o guia de postagem (http://www.leg.ufpr.br/r-br-guia) e
> forneça
> >>>>>> código mínimo reproduzível.
> >>>>>
> >>>>>
> >>>>> _______________________________________________
> >>>>> R-br mailing list
> >>>>> [hidden email]
> >>>>> https://listas.inf.ufpr.br/cgi-bin/mailman/listinfo/r-br
> >>>>> Leia o guia de postagem (http://www.leg.ufpr.br/r-br-guia) e forneça
> >>>>> código
> >>>>> mínimo reproduzível.
> >>>>>
> >>>>> ________________________________
> >>>>> If you reply to this email, your message will be added to the
> >>>>> discussion
> >>>>> below:
> >>>>>
> >>>>>
> http://r-br.2285057.n4.nabble.com/R-br-OFF-Biblioteca-C-para-matrizes-tp4655808p4655843.html
> >>>>> To unsubscribe from R-br, click here.
> >>>>> NAML
> >> _______________________________________________
> >> R-br mailing list
> >> [hidden email]
> >> https://listas.inf.ufpr.br/cgi-bin/mailman/listinfo/r-br
> >> Leia o guia de postagem (http://www.leg.ufpr.br/r-br-guia) e forneça
> >> código mínimo reproduzível.
> > _______________________________________________
> > R-br mailing list
> > [hidden email]
> > https://listas.inf.ufpr.br/cgi-bin/mailman/listinfo/r-br
> > Leia o guia de postagem (http://www.leg.ufpr.br/r-br-guia) e forneça
> código
> > mínimo reproduzível.
> >
> >
> > ________________________________
> > If you reply to this email, your message will be added to the discussion
> > below:
> >
> http://r-br.2285057.n4.nabble.com/R-br-OFF-Biblioteca-C-para-matrizes-tp4655808p4655847.html
> > To unsubscribe from R-br, click here.
> > NAML
> _______________________________________________
> R-br mailing list
> R-br em listas.c3sl.ufpr.br
> https://listas.inf.ufpr.br/cgi-bin/mailman/listinfo/r-br
> Leia o guia de postagem (http://www.leg.ufpr.br/r-br-guia) e forneça
> código mínimo reproduzível.
>
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