From 9f67f1ed2fb4db5eecb2adfa86d8b12236d53dfb Mon Sep 17 00:00:00 2001 From: luba Date: Sun, 3 Nov 2024 20:48:17 -0300 Subject: [PATCH] 19-mutex --- material/aulas/19-sincronizacao/in1.txt | 11 + material/aulas/19-sincronizacao/in2.txt | 100001 +++++++++++++++ material/aulas/19-sincronizacao/index.md | 158 + material/aulas/19-sincronizacao/slides.pdf | Bin 0 -> 847452 bytes material/aulas/19-sincronizacao/soma_global.c | 51 + material/labs/image02-0.png | Bin 0 -> 9557 bytes material/labs/img/image00.png | Bin 0 -> 13257 bytes material/labs/img/image01.png | Bin 0 -> 22036 bytes material/labs/img/image02-0.png | Bin 0 -> 9557 bytes material/labs/img/image02-1.png | Bin 0 -> 9399 bytes material/labs/img/image02-2.png | Bin 0 -> 9463 bytes material/labs/img/image02-3.png | Bin 0 -> 9722 bytes material/labs/img/image02-4.png | Bin 0 -> 10446 bytes material/labs/img/image02-5.png | Bin 0 -> 6570 bytes material/labs/threads.md | 154 + mkdocs.yml | 4 +- 16 files changed, 100378 insertions(+), 1 deletion(-) create mode 100644 material/aulas/19-sincronizacao/in1.txt create mode 100644 material/aulas/19-sincronizacao/in2.txt create mode 100755 material/aulas/19-sincronizacao/index.md create mode 100644 material/aulas/19-sincronizacao/slides.pdf create mode 100644 material/aulas/19-sincronizacao/soma_global.c create mode 100644 material/labs/image02-0.png create mode 100644 material/labs/img/image00.png create mode 100644 material/labs/img/image01.png create mode 100644 material/labs/img/image02-0.png create mode 100644 material/labs/img/image02-1.png create mode 100644 material/labs/img/image02-2.png create mode 100644 material/labs/img/image02-3.png create mode 100644 material/labs/img/image02-4.png create mode 100644 material/labs/img/image02-5.png create mode 100644 material/labs/threads.md diff --git a/material/aulas/19-sincronizacao/in1.txt b/material/aulas/19-sincronizacao/in1.txt new file mode 100644 index 0000000000..aa863b03fa --- /dev/null +++ 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Também aprendemos a passar argumentos e receber de volta valores usando um `struct` alocado dinamicamente. + +## Aquecimento + +Vamos iniciar uma revisão trabalhando em cima do arquivo `soma_global.c`. + +!!! example + Abra o arquivo e analise seu conteúdo. + +!!! exercise text short + Qual o papel da função `soma_parcial`? Explique o papel de cada atributo de `struct soma_parcial_args`. + + !!! answer "Resposta" + Soma parte de um array (alguns elementos). Nos argumentos, o `*vetor` representa um ponteiro para todos os elementos do array. Já `start` e `end` representam o range de posições as quais queremos somar. + +!!! exercise text short + Como você setaria os atributos de `struct soma_partical_args` para obter a soma do vetor todo? E para obter somente a soma da primeira metade do vetor? + + !!! answer "Resposta" + ``` + args->vetor = vetor; + args->start = 0; + args->end = n; + ``` + +Para fins didáticos, estamos atualizando diretamente a variável `soma_total` dentro do `for`. + +!!! example + Complete as partes faltantes e rode o programa e compile o programa `soma_global.c`: + + `gcc soma_global.c -o soma_global -pthread` + + Execute dois testes com entrada dos arquivos `in1.txt` e `in2.txt`. + + `./soma_global < in1.txt` + + `./soma_global < in1.txt` + + Eles dão os resultados esperados? + +!!! exercise text short + Os resultados acima estarão errados. Você consegue explicar por que? + + !!! answer "Resposta" + Na operação `soma = soma + spa->vetor[i];` a variável global `soma` está sendo lida, somada e posteriormente atribuída a ela própria. Entretando, entre a leitura e a atribuição, outra thread pode atualizar o valor da `soma`, tornando os resultados inconsistentes e imprevisíveis. + +## Sincronização usando `mutex` + +Vamos agora trabalhar agora para corrigir este erro! Lembrando da aula, as operações possíveis são as seguintes: + +* `lock` - se tiver destravado, trava e continua; se não estiver espera. +* `unlock` - se tiver a trava, a destrava e permite que outras tarefas travem. + +Note que não existe garantia de ordem! Ou seja, se tiverem vários processos esperando por um `mutex` qualquer um deles pode receber o acesso. Inclusive, uma thread pode esperar "para sempre" e nunca receber o acesso. Não é provável, mas é possível. + +!!! warning + Você pode precisar instalar o pacote `manpages-posix-dev` para obter as páginas do manual usadas neste roteiro. + +
+ + ```console + $ sudo apt update + $ sudo apt install manpages-posix-dev + ``` + +
+ +!!! exercise text short + Identifique no seu código quais linhas compõe a região crítica e onde deveriam estar as diretivas `lock` e `unlock`. Escreva abaixo suas concluões. + + !!! answer "Resposta" + Onde a `soma` está sendo atualizada. Damos lock antes e unlock depois da linha `soma = soma + spa->vetor[i];` + +!!! example + Coloque um comentário nas linhas identificadas acima. + +Já sabemos onde iremos colocar as operações de `lock` e `unlock` do mutex. Agora falta só criá-lo. + +!!! exercise text short + O mutex precisa ser criado e inicializado. Onde isto deve ser feito? Como ele pode ser recebido pela função da thread? + + !!! answer "Resposta" + Podemos fazer isto na função `main`, antes da criação das threads. Para que ele seja recebido pela função, podemos criar um outro argumento na nossa `struct soma_parcial_args`! + +!!! exercise text short + Consulte o manual de `pthread_mutex_init` e escreva abaixo como criar e inicializar um mutex. + + !!! answer "Resposta" + Podemos fazer, por exemplo: + ```c + pthread_mutex_t mutex_soma = PTHREAD_MUTEX_INITIALIZER; + ``` + + +!!! exercise text short + Consulte o manual de `pthread_mutex_lock` e `pthread_mutex_unlock` e escreva abaixo como usá-las. + + !!! answer "Resposta" + ```c + pthread_mutex_lock(); + // Faça sua operação! + pthread_mutex_unlock(); + ``` + +!!! example + Com base nas suas respostas acima, conserte seu programa `soma_global.c` e verifique que ele retorna os resultados corretos. + +!!! exercise text short + Agora meça o tempo de execução e anote abaixo. Compare com o original (que não funcionava) e explique a diferença. + + !!! answer "Resposta" + Podemos conferir utilizando o comando `time` no terminal. Percebemos um aumento no tempo com o uso do mutex. Isto ocorre devido a necessidade de sincronizar o acesso à variável global `soma`. + +
+ + ```console + $ time soma_global_v1 < in2.txt + $ time soma_global_v2 < in2.txt + ``` + +
+ +!!! tip + Usar `mutex` é muito caro! Além de acabar com o paralelismo, as operações `lock` e `unlock` também são custosas. + +## Economizando `mutex` + +Nesta parte final iremos ver como diminuir o número de chamadas ao `mutex`. + +!!! exercise text short + É necessário atualizar a variável global `soma` a cada iteração do `for`? E é possível atualizá-la somente uma vez por thread? + + !!! answer "Resposta" + Podemos criar uma variável local que acumula a soma e só atualiza `soma_global` no fim. Seria uma variável por thread! + +!!! example + Implemente a ideia acima e veja se houve melhora. Salve como `soma-global2.c`. + +O exercício acima deverá ter desempenho bom, já que limitamos a quantidade de vezes que usamos o `mutex`. Vamos tentar outra ideia agora. + +!!! exercise text short + Precisamos da variável global? E se cada thread retornasse sua soma parcial? Como o programa poderia ser organizado para que essa ideia funcione? + + !!! answer "Resposta" + Cada thread poderia retornar na struct de argumentos o resultado de sua soma. Na função main, após cada reposta de conclusão da thread (retorno da `pthread_join`), poderíamos somar os resultados. + +!!! exercise text short + A ideia acima precisou de `mutex`? Por que? + + !!! answer "Resposta" + Não, pois na função `main` a execução da soma seria sequencial. + +!!! example + Implemente a ideia acima e confira os resultados. Houve melhora no desempenho? + + diff --git a/material/aulas/19-sincronizacao/slides.pdf b/material/aulas/19-sincronizacao/slides.pdf new file mode 100644 index 0000000000000000000000000000000000000000..fed3a5d761f6e6b3adb376e6e8f63c000cb2276b GIT binary patch literal 847452 zcmeEv1z1#D-|rv@27;tCNJvRDlrV@mq;!LT#LykmpdcV4Au*t&bc1wAh@^xxD4kLY zjMUI~4<0?9^S%g^o+f4kl@D<7#X7y;{NE z6zE068K!7&2m4;-Ovm^AvF{_01e&t3H%IsXM`!4-e+*pG-qp^9j+grqm%OE^Go2pY zS(kMD{OBg=1ioJc(Zf@v6B0VR@NlCkSEb|O{^K*x_h)!`zu(5gEByU?K7sF7@b^}D z1plZP`lDX>Y@9&n+-LXk@_eu7<^7|c?~i&u!L#r6f6OU*I-Gx@2i^QndVm>rv9!0l zYvcl>W4SBB%gxKr4d&+I<>BV%=Vj;SW(NLey~HJnzR%u?j^*U^J~ubF68fZwKHWo~ zbbi)Jp-X2cS#(JfeS)G-Ty_nSp^`f|I)YZYG*Q=>oFT;%Xgoyh*6l2Wu{mk+u3Ll(KHy>}p z+)p-;BPo7$^~atbPVHJr0bXJd{SevbQTJPH@|)U;AL%YQLS_s1w>JnvhQ_IBd!y!V z$v*bac$Q(iGaco$eSzNY{5cv~Cxr$v+%>UknRN&8{!cdy#qoGNIfYBRuJ8MwZ>9Fd zn-;i^RjqTL>t&b<)i zOQBe6j)@CgTc4a;C|dGie%G_toNeS*{ozvVGM_4yjzsXR2s@~s`GFXMK=jpZ-GO)4 zc_PY*;SX-7Nr*Se$;oI6V|0A6X<+)S&M^QiPrK>k&i7cA2~P5uHR|%Z@k0gUowv=q zP^|Z`;vCrY4p&DX#oT;c1PbtE*S;O+LG@OrVe!KpaZ6=(Sm}z0!i6FhwP#Ew*Q?}o zgLFN)Es69qkKzSFDwO%8m2GA0X&j=mc)2^T<~lSM@?I1sb92|Muu)Zasi4yx(70=R zhq0h=fhZ(YA0u}XH~vMzy>539zpr#dnFdGSy_YukI283nThGI0oAt>}?vHazbg7q| zJ7j#6iLpSSzrhy>i5TyD{9x6wP^)4rCqr2*bw^F{y{L%q4N&gxWa|~LVVKB8>MJ91 zB*O-&c=8#cW7=ZZ`m3^}CUhENbOh>)D(i3TaLjcjbhGz{vQntnorR@Ex-@{VFu8m z_=C;A%fU}+y~Jf=M91@sNT4qj)3+dk3z#4*5GDpa=o|qCCIQB23y2m3!Z;6% z7CqoU{xHsAVgaMPaPiV*;D(B;pmP|QnCF1;0|Wqf`vBjAun5i*Ugwd(CQ>oNp?4(a zeH@v3f#FU`6Nzg7CL^D*lmEp_q}RyEDVT0Bv#_%9g9QYIgheFpLZzf-WaZSbG+h_~oj?A*6ZSW{ z2mrdy0n37ggQg4PoEvap5@4Ob&Vx-Tp@L)NNJP*3_yX~r$kdXiiwu0Knoi2*DgCILtsbjS&3d3EmJ>3Hp}HET=MN@_f< zRZ7TvwO=vVwD0xud%FFY2&<{Iu&!)XmyB#2v)c5YvBNe4%y|v@2vT=f5rbwL*UK8G zpsbSc8_MD#4pVJ!4Dr_Dm7cnE>~N5tTppJdktH(6=?i~#NMo&7ZAjpb>t`i9hmSMu z_fEV>oVVOE!MfLSZh3kGmwP9-OpkhMAc$SAVc`_?lFRiJ6v9z&vK2C^;nk&Qy(VkR zMHfCd1!HAYWr4xOo{B*oPiT?vPllc~PjSDdz<$GgHOObA>cs|DJ^o=ZuGkef;=y~1 zg?EZ*WM%d8d}!mX{o-b}A!ex7!&_Awt`Q(Uyy6=%8>gVO7pI_Q=1sBuK$HeDuH_Vj z&xIXO-0bX=d1p#*ObL-Ze*A6{bh0u(NV1#cG1}Vr&! ze&NjGSC)D;y<$CIKTqj+Z=2(k%*SSe`cTiy-cyyZ^h z43T6(njLJ?#JEI}J5eM@UP!>K;TUZP@c zs+l$ru_-a8VZUd!ThsNutSD;a?wZUuQSo`p%-TVe3>b4u9_Ll`8?Hu`brBz~{FO2M zP;VhyE{4jX?KdBr&yn%I79-bofjn_GOz~yg+%1{)F|%d3Um7*=ji^&-HrPz9FL#GZ z%XZUx?sLuN!B^Y+@BLEW1b`C+Sy%g`_mrw6r$^F~9@c+K&hmIyj?`>hEM(m<-S%~~ zHb;pw$j|#V6`H>-lh0eRhosK#+Js2mi#-K>>A6*oL(sn z%9Wbh7QmyOt71J?;@Pv}Ao4Wq)K5w7?LaDFp&AV~AHE?iNi}$nwbGo*n2|qu--TiS zVN-EBQ$$l^xnNM;p<4tLiAdCbpr}M0;TD>FthFu9c2%Nj240_PH5MM6H@+ILF%cX0 zT*!SfbSC#CeXR7!zKdu23ZH0_aYlY$9FxUYrhQr0dsTDO_-nqzqs;vkU6!_Xv!c1o z)_C37wJ9pvCudYPWNmId^}deWd$%^*OO&B&5C7Vi;4x3e>9{w)Lpv3EESuHNdoYIiPsyvN*h&6(l43!#<#NiZ)+ce)8OpG;_>hPowVm4wBR-pSa@nZ zb*XXbF>9j)bYI4^L|SFffOX*_T0eLLwO^rNGRtP(DTqe2=T4K)DQKzuf!ks8R6Q?T z;r?psGX%?_FsB71VoS;8XtamlY?@n0dSvQ$8UB$5@Hj$NG6}3w0-4OdN3U&X(nZ zCr`WWm=E+yuF{71f;LY<5#=UE1>?$h8=S ze_uffT62r+v7_C>zFKiQzM)>5GGbFX|{ps1x4&J$I`K?92ezxh+p+iLJ)HIge}Mh0wP z@cF$%uIp;o3Uigzu9&Y2*)~o6l=P1sWd$T#*o8MQe1s<@knO?a^3RXltQfT z0&BvvI}<|d$UXM2LvB05v@{L4A5n8-`qp=43XY%@JBPV$;qa5N<>|-sSqN6vA`6-u zvMt)7MOC}L<}R@z4M{}@?PV(~Rc)1Vf}~oG`npPt*9e5%7sBAB+{+SQtXCp}PlPv@ z+LW%~V;o7yq>cEWf>Nh&SrKn|X=kH{Jq1?`!K<}C>xdksY%75Q-O0C$OmHY$XLAny zt039y2&RxRVS)g5)+SYaWiN`QClflmpJH|7d9ulwyTAozRZ63IKAPQYzN|-(kp^1p zui2}P9R#SQ;pv1};|BlD~rO+d$O!urYrg|NY4ci2tq~kX> z)fIjl3_CRQsq5_NX+hBw0|=dg_#{EI2$2DAt$dWBa?1yRy

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%lf\n", soma); + + soma = 0; + struct soma_parcial_args aa; + aa.vetor = vetor; + aa.start = 0; + aa.end = n; + soma_parcial(&aa); + printf("Sequencial: %lf\n", soma); + + return 0; +} diff --git a/material/labs/image02-0.png b/material/labs/image02-0.png new file mode 100644 index 0000000000000000000000000000000000000000..17ce9880045eb3bebb15426ed54627fdde53ce01 GIT binary patch literal 9557 zcmeHtXH-+swk}|#h%^xq1VK^2MpQr$gn*QYG*L>Zi6Wx(B2uIySb(6SAVol$lmG!l zIx#AOAVyk(^dbU@5K2M`2JTAExbKepe!Vf?z2lxY-ub}@E7^Okx#ya5uJ8Nietg9Y zF0e~-7Y7H2fYBxWs~jAhMDVwtmm7RDu};e3;E?4o($}>Na+)6zz={Ph+m@h@4hzM} z2_JrHxy#V{+k?}~IXS{yxrd)~iKOjKcy?hp==Nt0p6n4G=pk2&S(Hx{Wp zF4}pK>o|9GY=`2b^b5n=+l{^T{>{S=$Fi97Bh;)g>h9hnjW}i&DKG*@_^CDHM|sKI zmiOS5jpX3sl^r+8Ify5>KGPM};oyV_^Fny7l^_uI;KD9p%)v7fyTI4rx9FGdtP8+@ zNnDUpxJlea_AnAPEy=!9=R+O`o-C65<{uNuBI>#S@!z7N4mRZTO~rpq%4=Qzk69r9 zSJStLVg>h~*7=eo1C8Mp=-70to5{NWt1!dsx!yy;uMhY{^NWfUsg>%d?YTb12_%=6 zH(ZVrlulpcpJ8-npm&HoGLT)tGuCk1j)U(#Pn@!Q*UleAA(r)&+CXhCq3N 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Você deverá implementar um programa (**`ordena_combina.c`**) que organize uma série de arquivos de maneira paralelizada utilizando-se das threads que biblioteca POSIX da linguagem C te disponibiliza. + +## Ideia principal +A ideia principal a ser seguida é a de particionamento do trabalho de ordenação e combinação dos arquivos. Os arquivos possuirão uma série de números inteiros separados por quebras de linhas, inclusive na última linha. Assim cada linha no arquivo terá somente um inteiro, por exemplo: + +``` +4 +1 +10 +9 +... +``` +Cada arquivo possuirá uma quantidade aleatória de números, dessa forma, o seu trabalho inicial será alocar para cada arquivo lido, uma thread **"worker"** que terá a função de organizar os items presentes no arquivo, e gerar como saída um **arquivo intermediário** contendo os itens em ordem crescente (ordenados). Siga o exemplo: + +![alt text](img/image00.png "Organização Inicial") + +*Exemplo 01: Organização paralelizada inicial dos arquivos* + +Cada thread **"worker"** deve carregar todos os itens do seu arquivo em memória, em um array por exemplo, e utilizar a função `qsort()` da biblioteca `stdlib` para fazer a ordenação dos números. Essa função opera utilizando um algoritmo de complexidade `O(n log(n))`. Em caso de dúvida, utilize o manual para encontrar a assinatura da função e uma explicação de como utiliza-la. + +Os **arquivos intermediários** devem seguir o padrão de nome `X.txt.sorted` onde `X` é o nome original do arquivo. + +Após a ordenação inicial dos elementos dos arquivos entrada, você passará para uma etapa de combinação onde, cada thread **"worker"** terá como entrada dois arquivos intermediários (ordenados) que deverão ser combinados em um único arquivo temporário ordenado. Este fase deve ser feita por uma thread **"worker"** para cada combinação. + +Essa etapa de combinação deverá ser repetida até que reste um único arquivo com todos os números ordenados. Cada combinação entre dois arquivos é salva em um arquivo temporário que deve seguir o padrão de nome `tempN.T.txt`: onde `N` é o número do arquivo temporário (começando em `0`) e `T` é a quantidade de threads **"worker"** naquela fase de combinação. + +Assim, seguindo a regra para nomes de arquivos temporários, a última combinação (combinação final) terá o arquivo `temp0.1.txt` como saída. + +Siga o exemplo na imagem abaixo para ter uma ideia melhor dos processos de organização e combinação: + +![alt text](img/image01.png "Processo completo") + + +*Exemplo 02: Organização e combinação paralelizadas* + +## Complexidade da etapa de combinação + +Como visto antes, a função `qsort()` trabalha utilizando um algoritmo de complexidade `O(n log(n))`, assim, no pior caso, a etapa de organização trabalhará na mesma complexidade. + +Contudo, a etapa de combinação tem a possibilidade de trabalhar em uma complexidade melhor que `O(n log(n))`, no caso, `O(n)`. + +A maneira trivial de combinar dois arquivos previamente ordenados é, carregar todos os itens dos dois arquivos em arrays separados, concatenar os dois arrays e utilizando a mesma função de organização (`qsort()`) usada anteriormente para organizar os arrays. + +**Você acha que essa solução é boa? Ela pode ser melhorada?** + +A maneira "menos trivial", apesar de simples, que melhora consideravelmente o desempenho da sua solução, é aproveitar que arquivos já estão ordenados, e carregar todos os itens dos dois arquivos em arrays separados, percorrer ambos arrays, ao mesmo tempo, e formar um novo array que posteriormente será armazenado em um arquivo temporário. Veja as imagens abaixo para ter uma boa ideia do algoritmo: + +

+ + + + + + +

+ + +*Exemplo 03: Organização do array utilizando complexidade `O(n)`* + +## Compilação e testes de memória + +A compilação deve ser sempre feita utilizando o comando abaixo: + +``` +gcc -Wall -pedantic ordena_combina.c -o ordena_combina -lpthread +``` + +Para checar problemas de memória, utilize o comando abaixo: + +``` +valgrind --leak-check=yes ./ordena_combina file0.txt file1.txt +``` + +Lembrando que, utilizaremos os mesmos comandos apresentados acima para compilação e os testes de memória, portanto, use-os para evitar problemas. + +**Importante**: Considere que sempre testaremos o seu programa passando pelo **menos 2 arquivos** na entrada. + + +## Restrições + +Esta atividade serve como avaliação dos conceitos vistos na disciplina. Portanto, algumas restrições serão aplicadas ao código de vocês: + +- todo trabalho com arquivos deverá ser feito usando as APIs POSIX vistas em aula. **Não é permitido o uso de funções da** `Standard I/O` para manipulação de arquivos, como por exemplo `fopen()`, `fread()` e `fclose()`. +- se você usar algum trecho de código da documentação (ou de outra fonte), coloque uma atribuição em um comentário no código. +- **Fica proibido** o uso de ferramentas de **geração de código automático por IA**, como por exemplo o **ChatGPT**. + + +## Avaliação + +A avaliação, além de se basear nas rubricas descritas abaixo, precisará que você escreva um `README.md` em seu repositório contendo a fase e a nota que alcançou. Além disso, é necessário enviar um vídeo de seu programa rodando e com comentários explicativos seus. O link do vídeo deve estar disponível no `README.md`. + +A avaliação funcionará de modo cumulativo e manual, sendo assim, uma fase só será aceita como completa caso **TODOS** os requisitos da fase anterior forem completos sem problemas. + +## Entrega + +Você deverá colocar o programa fonte `ordena_combina.c` na pasta `lab/03-lab-threads` em seu repositório de atividades (github), na branch principal, e fazer **upload (push) do arquivo fonte no seu repositório**, não precisa soltar tag. + +Lembre-se de se atentar ao prazo de entrega definido [aqui!](../sobre.md). + + +**Fase 0** + +* Não entregou; +* Programa não compila; +* Não preencheu o README com a nota que alcançou; +* Não entregou o vídeo explicativo; + +**NOTA desta fase**: 0.0 + +**Fase 1** + +* Programa compila com warnings; +* Código fonte escrito de maneira limpa e concisa, evitando trechos de codigo inúteis e não performáticos. +* Programa roda na linha de comando como mostrado abaixo: + + ``` + ./ordena_combina file0.txt file1.txt file2.txt ... + ``` + +* Programa abre e organiza os arquivos recebidos pela linha de comando utilizando threads, salvando os resultados em **arquivos intermediários**, com seguinte nome `X.txt.sorted` onde `X` é o nome original do arquivo.; + +**NOTA desta fase**: 2.0 + +**Fase 2** + +* Programa compila sem warnings; +* Programa combina os arquivos intermediários ordenados em arquivos temporários utilizando threads, **com cada thread responsável em combinar dois arquivos**. Ao final, quando tivermos somente uma thread, o resultado da última combinação, deverá estar armazendo em um **arquivo final** com o seguinte nome `temp0.1.txt`; +- Considere que nessa fase que que número de arquivos informado por linha de comando será sempre potência de `2` ( 2, 4, 8, 16,...). + +**NOTA desta fase**: 5.0 + +**Fase 3** + +* Programa passa pela análise do Valgrind **sem erros**; +* Programa funciona para qualquer quantidade de arquivos de entrada informado por linha de comando, sem a necessidade da quantidade ser potência de `2`, mas como informado acima, sempre passaremos pelo menos 2 arquivos na entrada; + +**NOTA desta fase**: 8.0 + +**Fase 4** + +* Programa executa a etapa de combinação em **O(n)**; + +**NOTA desta fase**: 10.0 + +**IMPORTANTE:** Considere as **fases como cumulativas**, ou seja, cada versão deve **manter as funcionalidades da fase anterior** e acrescentar novas, mesmo porque, para realizar a próxima fase, a fase anterior deve estar pronta. + +Caso você não implemente alguma funcionalidade de uma determinada fase a nota atribuída será a da fase anterior. + + +### Prazo: + +[Clique aqui!](../sobre.md). \ No newline at end of file diff --git a/mkdocs.yml b/mkdocs.yml index 37c1b07847..e93bb31cad 100755 --- a/mkdocs.yml +++ b/mkdocs.yml @@ -85,6 +85,7 @@ markdown_extensions: - pymdownx.snippets: base_path: code check_paths: true + - extra nav: - Home: index.md @@ -109,10 +110,11 @@ nav: - aulas/16-sinais-I/index.md - aulas/17-sinais-II/index.md - aulas/18-threads-I/index.md + - aulas/19-sincronizacao/index.md - Labs: - labs/hackerlab.md - labs/processos.md - #- labs/threads.md + - labs/threads.md - Dicas: - outros/github.md - outros/vbox.md