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This commit is contained in:
Amaury JOLY 2025-05-05 08:13:55 +00:00
parent 39707197ef
commit 2c04ad710e
9 changed files with 88 additions and 106 deletions

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@ -2,7 +2,7 @@
// See: https://containers.dev/ for the "official" DevContainer specifications // See: https://containers.dev/ for the "official" DevContainer specifications
{ {
"name": "latex-default", //Add the name your DevContainer Here, "name": "latex-default", //Add the name your DevContainer Here,
"image": "pandoc/latex:latest-ubuntu", //Add the name of your Docker image here. See: https://hub.docker.com for available containers "image": "texlive/texlive", //Add the name of your Docker image here. See: https://hub.docker.com for available containers
"containerEnv": { //Add your build arguments here "containerEnv": { //Add your build arguments here
"DEBIAN_FRONTEND": "noninteractive" "DEBIAN_FRONTEND": "noninteractive"
}, },

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@ -8,7 +8,7 @@ apt update
tlmgr install preprint tlmgr install preprint
# installation de grammalecte # installation de grammalecte
apt install python3 unzip -y apt install python3 unzip wget -y
mkdir /root/.grammalecte mkdir /root/.grammalecte
cd /root/.grammalecte cd /root/.grammalecte
wget https://grammalecte.net/zip/Grammalecte-fr-v2.1.1.zip wget https://grammalecte.net/zip/Grammalecte-fr-v2.1.1.zip

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@ -2,100 +2,72 @@ We define $k$ as the id of the round \\
the $getMax(proves)$ return $MAX({(\_, r) : \exists (\_, PROVE(r)) \in proves})$ \\ the $getMax(proves)$ return $MAX({(\_, r) : \exists (\_, PROVE(r)) \in proves})$ \\
$buffer$ a FIFO list with $buffer[front]$ returning the first element $buffer$ a FIFO list with $buffer[front]$ returning the first element
% \begin{algorithm}[H]
% \DontPrintSemicolon \begin{algorithm}[H]
% \SetAlgoLined \DontPrintSemicolon
% \KwIn{le message $m$} \SetAlgoLined
% \BlankLine
% \While{true}{ $rcved = rcved \bigcup \{m\}$ \;
% proves = READ() \\ \textbf{upon} RB\_deliver(PROP, r, S) \textbf{from} j \;
% k = getMax(dump) + 1 \\ prop[r][j] = S
% APPEND(k || m) \\
% \If{PROVE(k)}{ \caption{\textbf{Upon} RB\_deliver(m)}
% APPEND(k) \\ \end{algorithm}
% return
% }
% }
% \caption{AB\_Broadcast}
% \end{algorithm}
\begin{algorithm}[H] \begin{algorithm}[H]
\DontPrintSemicolon \DontPrintSemicolon
\SetAlgoLined \SetAlgoLined
\KwIn{le message $m$} \KwIn{le message $m$}
\KwData{rcved = $\emptyset$ \;
delivered = $\emptyset$ \;
r = 0 \;}
\BlankLine \BlankLine
k\_max = getMax(READ()) \\
\While{buffer $\neq [\emptyset] $}{ RB\_cast(m) \;
(i, m) = buffer[front] \\ $rcved = rcvd \bigcup \{m\}$ \;
\textbf{wait} PROVE(k\_max || m) = false \\
proves = READ() \\
\If{$((i, PROVE(k\_max || m)) \in proves) \wedge ((i, PROVE(k\_max)) \in proves)$}{
$buffer = buffer - \{(i, m)\}$
}
}
\BlankLine
\While{true}{ \While{true}{
proves = READ() \\ $r = r+1$ \;
k = getMax(proves) + 1 \\ $RB\_cast(PROP, r, S)$ \;
PROVE(k || m) \\ PROVE(r) \;
APPEND(k || m) \\ APPEND(r) \;
\If{PROVE(k)}{ proves = READ() \;
APPEND(k) \\ $winner^r = \{j : (j, PROVE(r)) \in proves\}$ \;
return \textbf{wait until} $(\forall j \in winner^k: prop[r][j])$ \;
\If{$\exists j \in winner^k : m \in prop[r][j]$}{
break \;
} }
} }
\caption{AB\_Broadcast} \caption{AB\_Broadcast}
\end{algorithm} \end{algorithm}
$proves_r = {(i, r) : \forall i, \exists (i, PROVE(r)) \in proves}$ \\
$proves_r^i = ((i, r) : \exists (i, PROVE(r)) \in proves)$ ?? NULL \\
% $proves_r \subseteq proves$ s.a. $\forall PROVE(x) \in proves_r$, x is in the form $r || m$ with $m$ who cannot be empty \\
% $proves_r^i$ is the $PROVE(r || m )$ operation submited by the process i if exist \\
\begin{algorithm}[H] \begin{algorithm}[H]
\DontPrintSemicolon \DontPrintSemicolon
\SetAlgoLined \SetAlgoLined
buffer = $[\emptyset]$ \\
k = 0 \\ r\_prev = 0 \;
\BlankLine
\While{true}{ \While{true}{
proves = READ() \\ proves = READ() \;
k\_max = getMax(proves) \\ $r\_max = MAX(\{r : \exists i, (i, PROVE(r)) \in proves\})$ \;
\For{r=k+1 \emph{\KwTo} k\_max}{ \For{$r = r\_prev + 1 \textbf{to} r\_max$}{
APPEND(r)\\ APPEND(r) \;
\For{i = 1 \emph{\KwTo} $|P|$}{ proves = READ() \;
\If{$(\exists m : \exists(i, PROVE(r || m)) \in proves)$}{ $winner^k = \{j : (j, PROVE(r)) \in proves \}$ \;
\uIf{$(\exists(i, PROVE(r)) \in proves)$} { $\textbf{wait until} (\forall j \in winner^k : prop[r][j] \neq \emptyset)$ \;
AB\_Recv(m) $M^r = (\bigcup_{j \in winner^k} prop[r][j]) \setminus delivered$ \;
}
\Else{ \tcc*{we assume $M^r$ as an ordered list s.a. $\forall m_1, m_2, if m_1 < m_2$, $m_1$ appears before $m_2$ in $M^r$}
$buffer = buffer \cup \{(i, m)\}$
} \BlankLine
}
\ForEach{$m \in M^r$}{
$delivered = delivered \bigcup \{m\}$ \;
AB\_deliver(m) \;
} }
} }
} }
\caption{AB\_Listen} \caption{AB\_Listen}
\end{algorithm} \end{algorithm}
% \begin{algorithm}[H]
% \DontPrintSemicolon
% \SetAlgoLined
% \BlankLine
% \While{true}{
% proves = READ() \\
% k\_max = getMax(proves) \\
% \For{r=k+1 \emph{\KwTo} k\_max}{
% APPEND(r)\\
% $proves_r$ = \{$\forall i, PROVE(r)_i \in READ()$\} \\
% \For{i = 1 \emph{\KwTo} $|P|$}{
% \If{$\exists PROVE(r)_i \in proves_r$}{
% AB\_Recv($m$ s.t. $PROVE(r || m) \in proves$)
% }
% }
% }
% }
% \caption{AB\_Listen}
% \end{algorithm}

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@ -14,7 +14,8 @@
\@writefile{toc}{\contentsline {subsubsection}{\numberline {1.1.2}AtomicBroadcast Properties}{1}{}\protected@file@percent } \@writefile{toc}{\contentsline {subsubsection}{\numberline {1.1.2}AtomicBroadcast Properties}{1}{}\protected@file@percent }
\@writefile{toc}{\contentsline {subsubsection}{\numberline {1.1.3}DenyList Properties}{1}{}\protected@file@percent } \@writefile{toc}{\contentsline {subsubsection}{\numberline {1.1.3}DenyList Properties}{1}{}\protected@file@percent }
\@writefile{toc}{\contentsline {subsection}{\numberline {1.2}Algorithms}{1}{}\protected@file@percent } \@writefile{toc}{\contentsline {subsection}{\numberline {1.2}Algorithms}{1}{}\protected@file@percent }
\@writefile{loa}{\contentsline {algocf}{\numberline {1}{\ignorespaces AB\_Broadcast}}{2}{}\protected@file@percent } \@writefile{loa}{\contentsline {algocf}{\numberline {1}{\ignorespaces \textbf {Upon} RB\_deliver(m)}}{2}{}\protected@file@percent }
\@writefile{loa}{\contentsline {algocf}{\numberline {2}{\ignorespaces AB\_Listen}}{2}{}\protected@file@percent } \@writefile{loa}{\contentsline {algocf}{\numberline {2}{\ignorespaces AB\_Broadcast}}{2}{}\protected@file@percent }
\@writefile{loa}{\contentsline {algocf}{\numberline {3}{\ignorespaces AB\_Listen}}{2}{}\protected@file@percent }
\abx@aux@read@bbl@mdfivesum{76D65A242EC496C9B4361AF646FF12CB} \abx@aux@read@bbl@mdfivesum{76D65A242EC496C9B4361AF646FF12CB}
\gdef \@abspage@last{3} \gdef \@abspage@last{3}

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@ -1,14 +1,15 @@
# Fdb version 4 # Fdb version 4
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"main.bcf" 1746004825.84735 108486 d8549f9e7d9f09af6a94b466d27b9f55 "pdflatex" "main.bcf" 1746172816.38112 108486 d8549f9e7d9f09af6a94b466d27b9f55 "pdflatex"
"sources.bib" 1745505510 0 d41d8cd98f00b204e9800998ecf8427e "" "sources.bib" 1745505510 0 d41d8cd98f00b204e9800998ecf8427e ""
(generated) (generated)
"main.bbl" "main.bbl"
"main.blg" "main.blg"
(rewritten before read) (rewritten before read)
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"/usr/local/texlive/2025/texmf-dist/fonts/tfm/jknappen/ec/ecbx1000.tfm" 1136768653 3584 2d666ecf6d466d8b007246bc2f94d9da "" "/usr/local/texlive/2025/texmf-dist/fonts/tfm/jknappen/ec/ecbx1000.tfm" 1136768653 3584 2d666ecf6d466d8b007246bc2f94d9da ""
"/usr/local/texlive/2025/texmf-dist/fonts/tfm/jknappen/ec/ecbx1200.tfm" 1136768653 3584 402da0b29eafbad07963b1224b222f18 "" "/usr/local/texlive/2025/texmf-dist/fonts/tfm/jknappen/ec/ecbx1200.tfm" 1136768653 3584 402da0b29eafbad07963b1224b222f18 ""
@ -19,11 +20,16 @@
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"/usr/local/texlive/2025/texmf-dist/fonts/tfm/jknappen/ec/ecti1000.tfm" 1136768653 3072 3bce340d4c075dffe6d4ec732b4c32fe "" "/usr/local/texlive/2025/texmf-dist/fonts/tfm/jknappen/ec/ecti1000.tfm" 1136768653 3072 3bce340d4c075dffe6d4ec732b4c32fe ""
"/usr/local/texlive/2025/texmf-dist/fonts/tfm/jknappen/ec/ecti1200.tfm" 1136768653 3072 8b5a64dc91775463bc95e2d818524028 "" "/usr/local/texlive/2025/texmf-dist/fonts/tfm/jknappen/ec/ecti1200.tfm" 1136768653 3072 8b5a64dc91775463bc95e2d818524028 ""
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@ -33,6 +39,7 @@
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@ -82,11 +89,11 @@
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(generated) (generated)
"main.aux" "main.aux"

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@ -134,14 +134,20 @@ INPUT ./algo/index.tex
INPUT ./algo/index.tex INPUT ./algo/index.tex
INPUT algo/index.tex INPUT algo/index.tex
INPUT /usr/local/texlive/2025/texmf-dist/fonts/tfm/jknappen/ec/ecbx0700.tfm INPUT /usr/local/texlive/2025/texmf-dist/fonts/tfm/jknappen/ec/ecbx0700.tfm
INPUT /usr/local/texlive/2025/texmf-dist/fonts/tfm/jknappen/ec/ecbi1000.tfm
INPUT /usr/local/texlive/2025/texmf-dist/fonts/tfm/jknappen/ec/ectt1000.tfm
INPUT main.aux INPUT main.aux
INPUT main.run.xml INPUT main.run.xml
OUTPUT main.run.xml OUTPUT main.run.xml
INPUT /usr/local/texlive/2025/texmf-dist/fonts/type1/public/amsfonts/cm/cmex10.pfb
INPUT /usr/local/texlive/2025/texmf-dist/fonts/type1/public/amsfonts/cm/cmmi10.pfb INPUT /usr/local/texlive/2025/texmf-dist/fonts/type1/public/amsfonts/cm/cmmi10.pfb
INPUT /usr/local/texlive/2025/texmf-dist/fonts/type1/public/amsfonts/cm/cmmi5.pfb
INPUT /usr/local/texlive/2025/texmf-dist/fonts/type1/public/amsfonts/cm/cmmi7.pfb INPUT /usr/local/texlive/2025/texmf-dist/fonts/type1/public/amsfonts/cm/cmmi7.pfb
INPUT /usr/local/texlive/2025/texmf-dist/fonts/type1/public/amsfonts/cm/cmr10.pfb INPUT /usr/local/texlive/2025/texmf-dist/fonts/type1/public/amsfonts/cm/cmr10.pfb
INPUT /usr/local/texlive/2025/texmf-dist/fonts/type1/public/amsfonts/cm/cmr7.pfb INPUT /usr/local/texlive/2025/texmf-dist/fonts/type1/public/amsfonts/cm/cmr7.pfb
INPUT /usr/local/texlive/2025/texmf-dist/fonts/type1/public/amsfonts/cm/cmsy10.pfb INPUT /usr/local/texlive/2025/texmf-dist/fonts/type1/public/amsfonts/cm/cmsy10.pfb
INPUT /usr/local/texlive/2025/texmf-dist/fonts/type1/public/amsfonts/cm/cmsy7.pfb
INPUT /usr/local/texlive/2025/texmf-dist/fonts/type1/public/cm-super/sfbi1000.pfb
INPUT /usr/local/texlive/2025/texmf-dist/fonts/type1/public/cm-super/sfbx0700.pfb INPUT /usr/local/texlive/2025/texmf-dist/fonts/type1/public/cm-super/sfbx0700.pfb
INPUT /usr/local/texlive/2025/texmf-dist/fonts/type1/public/cm-super/sfbx1000.pfb INPUT /usr/local/texlive/2025/texmf-dist/fonts/type1/public/cm-super/sfbx1000.pfb
INPUT /usr/local/texlive/2025/texmf-dist/fonts/type1/public/cm-super/sfbx1200.pfb INPUT /usr/local/texlive/2025/texmf-dist/fonts/type1/public/cm-super/sfbx1200.pfb
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