Add I²C part
137
latex/TM.tex
@ -39,7 +39,7 @@
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\thispagestyle{empty}
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Je remercie bla bla bla...
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\vfill
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Image de couverture par \enquote{oomlout}, sous licence Creative Commons Attribution-Share like 2.0 Generic (CC BY-SA 2.0)
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Image de couverture par \enquote{oomlout}, sous licence \emph{Creative Commons Attribution-Share Alike 2.0 Generic (CC BY-SA 2.0)}.
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\tableofcontents
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@ -74,6 +74,141 @@ Les mots en \textbf{gras} sont des mots expliqués dans le glossaire ou des acro
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Les textes écrits avec \verb|cette police d'écriture| sont des extraits de code.
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\chapter{L'I²C}
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\section{Le bus I²C}
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Le bus l'I²C a été développé par Philips en 1982. La première norme (notée 1.0) a été publiée en 1992 et la dernière (noté 4.0) en 2012.
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|
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\section{Les caractéristiques}
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L'I²C a plusieurs caractéristiques intéressantes :
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\begin{itemize}
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\item il n'utilise que deux lignes (en réalité trois, la masse devant être commune à tous les maîtres et les esclaves)
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\item il est multi-maîtres : plusieurs objets peuvent contrôler le bus
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\item il est multi-esclaves : plusieurs objets peuvent répondre à un maître
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\item c'est un bus série : chaque information est découpée en plusieurs morceaux de taille fixe
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\item c'est un bus synchrone : possède une horloge propre (imposée par les maître qui veux parler)
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\item c'est un bus bidirectionnel half-duplex : les informations peuvent circuler dans les deux sens mais dans un seul sens à la fois
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\item il peux communiquer à des vitesses allant de 100 kbit/s à 5 Mbit/s
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\end{itemize}
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\section{Topologie}
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Tout d'abord, plusieurs équipements peuvent être connectés au bus en même temps (qu'ils soient maîtres ou esclaves).
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Les équipement sont connectés entre eux à l'aide de deux lignes :
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\begin{itemize}
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\item SDA (Serial Data Line) : ligne de données bidirectionnelle,
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\item SCL (Serial Clock Line) : ligne d'horloge de synchronisation bidirectionnelle
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\end{itemize}
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Il faut toute fois une troisième ligne pour avoir une masse commune à tous les équipements.
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Tous les équipements doivent être alimentés avec le même potentiel (pour avoir la même référence comme niveau haut) mais peuvent être alimentés par différentes sources.
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Les échanges ont toujours lieu entre un maître et un esclave et sont toujours débutés par le maître. Toute fois, rien n'empêche à un équipement de passer du status de maître au status d'esclave et vice-versa.
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L'état logique \enquote{0} ou \enquote{LOW} est l'état \enquote{dominant} tandis que l'état logique \enquote{1} ou \enquote{HIGH} est l'état \enquote{récessif}. Cela veux dire que si un équipement impose l'état LOW et qu'un autre impose l'état HIGH, la ligne sera à l'état LOW.
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\begin{figure}[h]
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\centering
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\includegraphics[width=1\textwidth]{images/I2C/I2C_Architecture.eps}
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\caption{Architecture I²C avec plusieurs maîtres et plusieurs esclaves}
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\label{fig:I2C_Architecture}
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\end{figure}
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\section{Le protocole I²C}
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Toutes les images ont été faites par \enquote{Emiaille} et sont sous licence \emph{Creative Commons paternité – partage à l’identique 3.0 (non transposée)}.
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\subsection{L'encodage}
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Pour transmettre un bit, le maître doit d'abord placer la ligne SCL au niveau LOW puis placer la ligne SDA au niveau voulu (LOW pour transmettre un 1 ou HIGH pour transmettre un 0). Ensuite, il place la ligne SCL au niveau HIGH, attend un temps défini par la vitesse et la norme utilisée puis replace la ligne SCL au niveau LOW. Un bit vient d'être transmis. Il recommence pour transmettre le bit suivant. Tant que la ligne SCL est au niveau HIGH, la ligne SDA ne doit pas changer d'état.
|
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\begin{figure}[h]
|
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\centering
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\includegraphics{images/I2C/I2C_Encodage.eps}
|
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\caption{Encodage d'un bit I²C}
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\label{fig:I2C_Encodage}
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\end{figure}
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\subsection{La commande START}
|
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La commande START est un transgression à la règle d'encodage. Elle est utilisé pour signaler le début d'une trame.
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Pour envoyer un START, la ligne SDA doit passer de l'état HIGH à LOW pendant que la ligne SCL est à l'état HIGH.
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\begin{figure}[h]
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\centering
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\includegraphics{images/I2C/I2C_START.eps}
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\caption{Condition de START I²C}
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\label{fig:I2C_START}
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\end{figure}
|
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|
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\subsection{La commande STOP}
|
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La commande STOP est un transgression à la règle d'encodage. Elle est utilisé pour signaler la fin d'une trame.
|
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Pour envoyer un STOP, la ligne SDA doit passer de l'état LOW à HIGH pendant que la ligne SCL est à l'état HIGH.
|
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\begin{figure}[h]
|
||||
\centering
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\includegraphics{images/I2C/I2C_STOP.eps}
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\caption{Condition de STOP I²C}
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||||
\label{fig:I2C_STOP}
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\end{figure}
|
||||
|
||||
\subsection{La commande RESTART}
|
||||
La commande RESTART est un transgression à la règle d'encodage. Elle est utilisé pour signaler le début d'une nouvelle trame sans passer par une condition STOP.
|
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Pour envoyer un RESTART, la ligne SDA doit passer de l'état LOW à HIGH pendant que la ligne SCL est à l'état HIGH. En fait, il s'agit que la commande START qui est envoyée entre un START en un STOP.
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\begin{figure}[h]
|
||||
\centering
|
||||
\includegraphics{images/I2C/I2C_RESTART.eps}
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\caption{Condition de RESTART I²C}
|
||||
\label{fig:I2C_RESTART}
|
||||
\end{figure}
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|
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\subsection{L'acquittement}
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Quand le récepteur à reçu un octet, il envoie la commande ACK pour signaler qu'il l'a bien reçu ou la commande NACK pour signaler un problème lors de la réception.
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Quand le récepteur est un maître, il peux envoyer un NACK pour demander l'arrêt de la lecture avant d'envoyer un STOP.
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Pour envoyer un ACK, le récepteur envoie simplement un bit 0. Pour envoyer un NACK, le récepteur envoie simplement un bit 1.
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\begin{figure}[h]
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\centering
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\includegraphics{images/I2C/I2C_ACK.eps}
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\caption{Acquittement I²C}
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\label{fig:I2C_ACK}
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\end{figure}
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\subsection{La pause}
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A tout moment, l'esclave peux bloquer la ligne SCL à LOW pour signaler qu'il est occupé.
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Pour aire un pause, l'esclave maintient la ligne SCL au niveau LOW tandis que le maître maintient la ligne au niveau HIGH. Le maître va détecter l'écrasement et maintenir la ligne au niveau HIGH jusqu'à ce que l'esclave est libéré la ligne.
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\begin{figure}[h]
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||||
\centering
|
||||
\includegraphics{images/I2C/I2C_Pause.eps}
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\caption{Pause I²C}
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||||
\label{fig:I2C_Pause}
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||||
\end{figure}
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\subsection{Un échange complet}
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Tout d'abord, tout les maîtres écoutent en permanence les deux lignes. S'ils détectent un START, ils savent qu'ils doivent attendre un STOP avant de tenter de parler à un esclave. Cette écoute permanente permet aussi de détecter les pauses et les conflits (plusieurs maîtres qui tentent de parler en même temps).
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Voici un exemple d'échange complet :
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||||
\begin{enumerate}
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\item le maître qui veux parler attend que le bus soit libre s'il est occupé
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\item le maître envoie la commande START
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||||
\item le maître envoie un octet : le sept premiers bits correspondent à l'adresse et le huitième permet de savoir si le maître demande une lecture ou une écriture (ici, une écriture)
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||||
\item l'esclave envoie un bit d'acquittement (ici, un ACK)
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||||
\item l'esclave peux demander une pause
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||||
\item le maître envoie un octet qui contient une commande
|
||||
\item l'esclave envoie un bit d'acquittement (ici, un ACK)
|
||||
\item l'esclave peux demander une pause
|
||||
\item le maître envoie la commande RESTART
|
||||
\item le maître envoie un octet : le sept premiers bits correspondent à l'adresse et le huitième permet de savoir si le maître demande une lecture ou une écriture (ici, une lecture)
|
||||
\item l'esclave envoie un premier octet qui contient le début des données
|
||||
\item le maître envoie un bit d'acquittement (ici, un ACK)
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||||
\item l'esclave peux demander une pause
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||||
\item l'esclave envoie un deuxième octet qui contient la suite des données
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||||
\item le maître envoie un bit d'acquittement (ici, un NACK)
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||||
\item l'esclave peux demander une pause
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||||
\item le maître envoie la commande STOP pour libérer le bus
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||||
\end{enumerate}
|
||||
\begin{figure}[h]
|
||||
\centering
|
||||
\includegraphics[width=1\textwidth]{images/I2C/I2C_EchangeMaitreEsclave.eps}
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||||
\caption{Exemple d'échange I²C entre un maître et un esclave}
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\label{fig:I2C_EchangeMaitreEsclave}
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||||
\end{figure}
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\subsection{Le cas de conflit}
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||||
Si deux maîtres (ou plus) prennent le contrôle du bus en même temps ou presque, les deux START et les lignes SCL vont se superposer et aucun des deux maîtres ne va se rendre compte qu'un autre est en train de parler un même temps. Toute fois, ils écoutent tous les deux en même temps qu'ils écrivent. Tant qu'ils envoient tous les deux un bit 1 ou 0 en même temps, il n'y aura pas de conflit entre les deux. Par contre, si l'un envoie un 1 et l'autre un 0, le 0 va écraser le 1 et le maître envoyant le 1 va détecter le conflit. Il va donc arrêter de parler et laisser l'autre continuer. Le conflit peux être détecter lors de l'écriture de l'adresse, du bit R/W ou lors de l'envoi d'un commande.
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Si les deux maîtres on envoyer exactement la même chose, il n'y aura pas de conflit et ils liront ou écriront la même chose.
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\chapter{Le matériel}
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||||
\section{Le choix de la plate-forme}
|
||||
Il existe de nombreuse \gls{plate-forme} en robotique~: par exemple, le Boe-Bot de Parallax, utilisé dans les cours facultatifs de robotique de M. \textsc{Gardon}. J'ai fait le choix d'un Arduino car cette un plate-forme de plus en plus répandue, peu chère (20 € pour une carte programmable) et puissante. On trouve de nombreux exemples de \gls{DIY}, elle est programmable en \gls{C++} (donc il est possible d'utiliser des \glspl{bibliotheque}) et c'est du \gls{materiel libre}.
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|
@ -1,7 +1,63 @@
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@misc{fig:Arduino_Ethernet,
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||||
author = "oomlout",
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title = "Arduino Ethernet",
|
||||
url = "https://upload.wikimedia.org/wikipedia/commons/f/f7/Arduino_Ethernet_Board_.jpg",
|
||||
url = "https://commons.wikimedia.org/wiki/File:Arduino_Ethernet_Board_.jpg",
|
||||
keywords = "image"
|
||||
}
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||||
|
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@misc{fig:I2C_ACK,
|
||||
author = "Emiaille",
|
||||
title = "Acquittement I²C",
|
||||
url ="https://commons.wikimedia.org/wiki/File:I2C_ACK.svg",
|
||||
keywords = "image"
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||||
}
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||||
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@misc{fig:I2C_Architecture,
|
||||
author = "Emiaille",
|
||||
title = "Architecture I²C avec plusieurs maîtres et plusieurs esclaves",
|
||||
url ="https://commons.wikimedia.org/wiki/File:I2C_Architecture.svg",
|
||||
keywords = "image"
|
||||
}
|
||||
|
||||
@misc{fig:I2C_EchangeMaitreEsclave,
|
||||
author = "Emiaille",
|
||||
title = "Exemple d'échange I²C entre un maître et un esclave",
|
||||
url ="https://commons.wikimedia.org/wiki/File:I2C_EchangeMaitreEsclave.svg",
|
||||
keywords = "image"
|
||||
}
|
||||
|
||||
@misc{fig:I2C_Encodage,
|
||||
author = "Emiaille",
|
||||
title = "Encodage d'un bit I²C",
|
||||
url ="https://commons.wikimedia.org/wiki/File:I2C_Encodage.svg",
|
||||
keywords = "image"
|
||||
}
|
||||
|
||||
@misc{fig:I2C_Pause,
|
||||
author = "Emiaille",
|
||||
title = "Pause I²C",
|
||||
url ="https://commons.wikimedia.org/wiki/File:I2C_Pause.svg",
|
||||
keywords = "image"
|
||||
}
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||||
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@misc{fig:I2C_RESTART,
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||||
author = "Emiaille",
|
||||
title = "Condition de RESTART I²C",
|
||||
url ="https://commons.wikimedia.org/wiki/File:I2C_RESTART.svg",
|
||||
keywords = "image"
|
||||
}
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||||
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||||
@misc{fig:I2C_START,
|
||||
author = "Emiaille",
|
||||
title = "Condition de START I²C",
|
||||
url ="https://commons.wikimedia.org/wiki/File:I2C_START.svg",
|
||||
keywords = "image"
|
||||
}
|
||||
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||||
@misc{fig:I2C_STOP,
|
||||
author = "Emiaille",
|
||||
title = "Condition de STOP I²C",
|
||||
url ="https://commons.wikimedia.org/wiki/File:I2C_STOP.svg",
|
||||
keywords = "image"
|
||||
}
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||||
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|
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latex/images/I2C/I2C_ACK.eps
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%%Trailer
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end restore
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%%EOF
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38
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148.116 c h
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1.6 w
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0.603922 g
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|
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|
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h
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|
||||
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|
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|
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|
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|
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|
||||
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|
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f
|
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|
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|
||||
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|
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|
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|
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|
||||
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|
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
c h
|
||||
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|
||||
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|
||||
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|
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|
||||
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|
||||
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|
||||
c h
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||||
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|
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f
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|
||||
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|
||||
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|
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|
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|
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|
||||
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|
||||
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|
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|
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|
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|
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|
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|
||||
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|
||||
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|
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|
||||
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|
||||
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|
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|
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|
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|
||||
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|
||||
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|
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|
||||
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|
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|
||||
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|
||||
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|
||||
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|
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|
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|
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|
||||
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|
||||
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|
||||
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|
||||
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|
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f
|
||||
0.603922 g
|
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|
||||
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|
||||
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|
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
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185.874 208.414 186.448 208.414 187.178 c h
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f
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0 g
|
||||
0.614406 w
|
||||
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|
||||
129.02 131.824 98.862 47.406 re S Q
|
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|
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|
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|
||||
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|
||||
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|
||||
163.277 80.186 l h
|
||||
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|
||||
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|
||||
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|
||||
77.659 158.074 78.452 c 158.074 79.366 158.359 80.061 158.934 80.53 c 159.516
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%%Trailer
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end restore
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38
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6.023 17.773 6.023 18.941 c 6.023 20.105 6.34 21.027 6.977 21.707 c 7.609
|
||||
22.383 8.48 22.723 9.586 22.723 c 10.023 22.723 10.434 22.664 10.82 22.551
|
||||
c 11.203 22.434 11.562 22.262 11.898 22.035 c h
|
||||
13.156 22.598 m 14.141 22.598 l 14.141 16.129 l 17.688 16.129 l 17.688
|
||||
15.301 l 13.156 15.301 l h
|
||||
f
|
||||
23.043 18.082 m 22.98 18.113 22.91 18.133 22.84 18.145 c 22.766 18.164
|
||||
22.688 18.176 22.605 18.176 c 22.301 18.176 22.066 18.074 21.902 17.879
|
||||
c 21.746 17.68 21.668 17.398 21.668 17.035 c 21.668 15.301 l 21.121 15.301
|
||||
l 21.121 18.582 l 21.668 18.582 l 21.668 18.066 l 21.77 18.273 21.91 18.426
|
||||
22.09 18.52 c 22.277 18.613 22.5 18.66 22.762 18.66 c 22.801 18.66 22.844
|
||||
18.652 22.887 18.645 c 22.926 18.645 22.98 18.637 23.043 18.629 c h
|
||||
26.449 17.082 m 26.449 16.816 l 23.965 16.816 l 23.984 16.441 24.094 16.152
|
||||
24.293 15.957 c 24.5 15.77 24.781 15.676 25.137 15.676 c 25.344 15.676
|
||||
25.543 15.699 25.73 15.754 c 25.926 15.805 26.125 15.879 26.324 15.973 c
|
||||
26.324 15.473 l 26.125 15.387 25.922 15.324 25.715 15.285 c 25.516 15.246
|
||||
25.312 15.223 25.105 15.223 c 24.582 15.223 24.168 15.371 23.855 15.676
|
||||
c 23.551 15.977 23.402 16.387 23.402 16.91 c 23.402 17.449 23.547 17.879
|
||||
23.84 18.191 c 24.129 18.504 24.52 18.66 25.012 18.66 c 25.457 18.66 25.809
|
||||
18.52 26.059 18.238 c 26.316 17.957 26.449 17.57 26.449 17.082 c h
|
||||
25.902 17.238 m 25.902 17.527 25.816 17.762 25.652 17.941 c 25.496 18.117
|
||||
25.285 18.207 25.027 18.207 c 24.723 18.207 24.48 18.117 24.293 17.941
|
||||
c 24.113 17.773 24.012 17.539 23.98 17.238 c h
|
||||
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|
||||
29.668 18.488 m 29.668 17.973 l 29.512 18.055 29.348 18.113 29.184 18.145
|
||||
c 29.027 18.184 28.859 18.207 28.684 18.207 c 28.41 18.207 28.207 18.164
|
||||
28.074 18.082 c 27.949 17.996 27.887 17.879 27.887 17.723 c 27.887 17.598
|
||||
27.934 17.496 28.027 17.426 c 28.121 17.352 28.312 17.285 28.605 17.223
|
||||
c 28.793 17.176 l 29.168 17.09 29.434 16.977 29.59 16.832 c 29.754 16.684
|
||||
29.84 16.477 29.84 16.207 c 29.84 15.902 29.719 15.664 29.48 15.488 c 29.238
|
||||
15.309 28.91 15.223 28.496 15.223 c 28.316 15.223 28.129 15.238 27.934
|
||||
15.27 c 27.746 15.301 27.547 15.352 27.34 15.426 c 27.34 15.973 l 27.535
|
||||
15.867 27.73 15.789 27.918 15.738 c 28.113 15.684 28.309 15.66 28.496 15.66
|
||||
c 28.754 15.66 28.953 15.699 29.09 15.785 c 29.223 15.879 29.293 16.004
|
||||
29.293 16.16 c 29.293 16.305 29.238 16.414 29.137 16.488 c 29.043 16.57
|
||||
28.828 16.648 28.496 16.723 c 28.309 16.77 l 27.973 16.84 27.73 16.949
|
||||
27.574 17.098 c 27.426 17.242 27.355 17.441 27.355 17.691 c 27.355 18.004
|
||||
27.465 18.242 27.684 18.41 c 27.902 18.574 28.215 18.66 28.621 18.66 c
|
||||
28.816 18.66 29.004 18.645 29.184 18.613 c 29.359 18.582 29.52 18.539 29.668
|
||||
18.488 c h
|
||||
30.863 16.598 m 30.863 18.582 l 31.395 18.582 l 31.395 16.613 l 31.395
|
||||
16.301 31.449 16.066 31.566 15.91 c 31.691 15.762 31.879 15.691 32.129 15.691
|
||||
c 32.418 15.691 32.648 15.777 32.816 15.957 c 32.98 16.145 33.066 16.398
|
||||
33.066 16.723 c 33.066 18.582 l 33.613 18.582 l 33.613 15.301 l 33.066
|
||||
15.301 l 33.066 15.801 l 32.93 15.602 32.773 15.457 32.598 15.363 c 32.43
|
||||
15.27 32.23 15.223 32.004 15.223 c 31.629 15.223 31.34 15.336 31.145 15.566
|
||||
c 30.957 15.805 30.863 16.148 30.863 16.598 c h
|
||||
32.207 18.66 m h
|
||||
34.973 19.863 m 35.52 19.863 l 35.52 15.301 l 34.973 15.301 l h
|
||||
37.281 19.52 m 37.281 18.582 l 38.391 18.582 l 38.391 18.16 l 37.281 18.16
|
||||
l 37.281 16.379 l 37.281 16.117 37.316 15.945 37.391 15.863 c 37.461 15.789
|
||||
37.613 15.754 37.844 15.754 c 38.391 15.754 l 38.391 15.301 l 37.844 15.301
|
||||
l 37.426 15.301 37.141 15.379 36.984 15.535 c 36.828 15.691 36.75 15.973
|
||||
36.75 16.379 c 36.75 18.16 l 36.344 18.16 l 36.344 18.582 l 36.75 18.582
|
||||
l 36.75 19.52 l h
|
||||
40.762 16.957 m 40.324 16.957 40.02 16.902 39.855 16.801 c 39.688 16.695
|
||||
39.605 16.523 39.605 16.285 c 39.605 16.098 39.668 15.945 39.793 15.832
|
||||
c 39.918 15.715 40.09 15.66 40.309 15.66 c 40.598 15.66 40.832 15.762 41.012
|
||||
15.973 c 41.199 16.191 41.293 16.477 41.293 16.832 c 41.293 16.957 l h
|
||||
41.824 17.176 m 41.824 15.301 l 41.293 15.301 l 41.293 15.801 l 41.168
|
||||
15.602 41.012 15.457 40.824 15.363 c 40.645 15.27 40.422 15.223 40.152 15.223
|
||||
c 39.816 15.223 39.551 15.316 39.355 15.504 c 39.156 15.691 39.059 15.941
|
||||
39.059 16.254 c 39.059 16.629 39.184 16.91 39.434 17.098 c 39.684 17.285
|
||||
40.051 17.379 40.543 17.379 c 41.293 17.379 l 41.293 17.426 l 41.293 17.676
|
||||
41.207 17.867 41.043 18.004 c 40.887 18.137 40.656 18.207 40.355 18.207
|
||||
c 40.168 18.207 39.984 18.18 39.809 18.129 c 39.629 18.086 39.457 18.023
|
||||
39.293 17.941 c 39.293 18.426 l 39.488 18.508 39.684 18.566 39.871 18.598
|
||||
c 40.059 18.637 40.238 18.66 40.418 18.66 c 40.887 18.66 41.234 18.535
|
||||
41.465 18.285 c 41.703 18.043 41.824 17.676 41.824 17.176 c h
|
||||
45.922 17.285 m 45.922 15.301 l 45.375 15.301 l 45.375 17.27 l 45.375 17.57
|
||||
45.312 17.801 45.188 17.957 c 45.07 18.113 44.895 18.191 44.656 18.191
|
||||
c 44.363 18.191 44.133 18.098 43.969 17.91 c 43.801 17.723 43.719 17.473
|
||||
43.719 17.16 c 43.719 15.301 l 43.172 15.301 l 43.172 18.582 l 43.719 18.582
|
||||
l 43.719 18.066 l 43.844 18.262 43.992 18.41 44.172 18.504 c 44.348 18.605
|
||||
44.547 18.66 44.766 18.66 c 45.148 18.66 45.438 18.539 45.625 18.301 c
|
||||
45.82 18.07 45.922 17.73 45.922 17.285 c h
|
||||
47.781 19.52 m 47.781 18.582 l 48.891 18.582 l 48.891 18.16 l 47.781 18.16
|
||||
l 47.781 16.379 l 47.781 16.117 47.816 15.945 47.891 15.863 c 47.961 15.789
|
||||
48.113 15.754 48.344 15.754 c 48.891 15.754 l 48.891 15.301 l 48.344 15.301
|
||||
l 47.926 15.301 47.641 15.379 47.484 15.535 c 47.328 15.691 47.25 15.973
|
||||
47.25 16.379 c 47.25 18.16 l 46.844 18.16 l 46.844 18.582 l 47.25 18.582
|
||||
l 47.25 19.52 l h
|
||||
52.574 17.082 m 52.574 16.816 l 50.09 16.816 l 50.109 16.441 50.219 16.152
|
||||
50.418 15.957 c 50.625 15.77 50.906 15.676 51.262 15.676 c 51.469 15.676
|
||||
51.668 15.699 51.855 15.754 c 52.051 15.805 52.25 15.879 52.449 15.973
|
||||
c 52.449 15.473 l 52.25 15.387 52.047 15.324 51.84 15.285 c 51.641 15.246
|
||||
51.438 15.223 51.23 15.223 c 50.707 15.223 50.293 15.371 49.98 15.676 c
|
||||
49.676 15.977 49.527 16.387 49.527 16.91 c 49.527 17.449 49.672 17.879
|
||||
49.965 18.191 c 50.254 18.504 50.645 18.66 51.137 18.66 c 51.582 18.66 51.934
|
||||
18.52 52.184 18.238 c 52.441 17.957 52.574 17.57 52.574 17.082 c h
|
||||
52.027 17.238 m 52.027 17.527 51.941 17.762 51.777 17.941 c 51.621 18.117
|
||||
51.41 18.207 51.152 18.207 c 50.848 18.207 50.605 18.117 50.418 17.941
|
||||
c 50.238 17.773 50.137 17.539 50.105 17.238 c h
|
||||
f
|
||||
[ 3.2 3.2] 0 d
|
||||
q 1 0 0 -1 0 88 cm
|
||||
66.652 81.008 m 305.215 81.008 l S Q
|
||||
48.73 33.066 m 49.324 33.066 l 49.324 31.27 l 51.465 31.27 l 51.465 33.066
|
||||
l 52.059 33.066 l 52.059 28.691 l 51.465 28.691 l 51.465 30.77 l 49.324
|
||||
30.77 l 49.324 28.691 l 48.73 28.691 l h
|
||||
53.543 33.066 m 54.137 33.066 l 54.137 28.691 l 53.543 28.691 l h
|
||||
58.414 29.316 m 58.414 30.488 l 57.445 30.488 l 57.445 30.973 l 58.992
|
||||
30.973 l 58.992 29.098 l 58.762 28.941 58.508 28.82 58.227 28.738 c 57.953
|
||||
28.656 57.664 28.613 57.352 28.613 c 56.672 28.613 56.141 28.809 55.758
|
||||
29.207 c 55.371 29.602 55.18 30.16 55.18 30.879 c 55.18 31.586 55.371 32.137
|
||||
55.758 32.535 c 56.141 32.941 56.672 33.145 57.352 33.145 c 57.641 33.145
|
||||
57.914 33.105 58.164 33.035 c 58.422 32.973 58.664 32.867 58.883 32.723
|
||||
c 58.883 32.098 l 58.664 32.285 58.43 32.426 58.18 32.52 c 57.938 32.613
|
||||
57.68 32.66 57.398 32.66 c 56.867 32.66 56.465 32.508 56.195 32.207 c 55.934
|
||||
31.914 55.805 31.473 55.805 30.879 c 55.805 30.285 55.934 29.836 56.195
|
||||
29.535 c 56.465 29.242 56.867 29.098 57.398 29.098 c 57.617 29.098 57.805
|
||||
29.113 57.961 29.145 c 58.125 29.184 58.277 29.242 58.414 29.316 c h
|
||||
60.391 33.066 m 60.984 33.066 l 60.984 31.27 l 63.125 31.27 l 63.125 33.066
|
||||
l 63.719 33.066 l 63.719 28.691 l 63.125 28.691 l 63.125 30.77 l 60.984
|
||||
30.77 l 60.984 28.691 l 60.391 28.691 l h
|
||||
f
|
||||
49.477 9.145 m 50.07 9.145 l 50.07 5.27 l 52.195 5.27 l 52.195 4.77 l 49.477
|
||||
4.77 l h
|
||||
54.578 8.738 m 54.148 8.738 53.812 8.574 53.562 8.254 c 53.312 7.941 53.188
|
||||
7.508 53.188 6.957 c 53.188 6.402 53.312 5.965 53.562 5.645 c 53.812 5.32
|
||||
54.148 5.16 54.578 5.16 c 55.016 5.16 55.359 5.32 55.609 5.645 c 55.859
|
||||
5.965 55.984 6.402 55.984 6.957 c 55.984 7.508 55.859 7.941 55.609 8.254
|
||||
c 55.359 8.574 55.016 8.738 54.578 8.738 c h
|
||||
54.578 9.223 m 55.191 9.223 55.68 9.012 56.047 8.598 c 56.422 8.191 56.609
|
||||
7.645 56.609 6.957 c 56.609 6.27 56.422 5.715 56.047 5.301 c 55.68 4.895
|
||||
55.191 4.691 54.578 4.691 c 53.961 4.691 53.473 4.895 53.109 5.301 c 52.742
|
||||
5.707 52.562 6.258 52.562 6.957 c 52.562 7.645 52.742 8.191 53.109 8.598
|
||||
c 53.473 9.012 53.961 9.223 54.578 9.223 c h
|
||||
57.461 9.145 m 58.055 9.145 l 58.977 5.441 l 59.898 9.145 l 60.555 9.145
|
||||
l 61.477 5.441 l 62.398 9.145 l 62.992 9.145 l 61.898 4.77 l 61.148 4.77
|
||||
l 60.227 8.566 l 59.305 4.77 l 58.555 4.77 l h
|
||||
f
|
||||
[ 2.4 2.4] 0 d
|
||||
q 1 0 0 -1 0 88 cm
|
||||
120.398 0.008 m 120.398 88.008 l S Q
|
||||
[ 2.4 2.4] 0 d
|
||||
q 1 0 0 -1 0 88 cm
|
||||
148.398 0.008 m 148.398 88.008 l S Q
|
||||
[ 2.4 2.4] 0 d
|
||||
q 1 0 0 -1 0 88 cm
|
||||
244.398 0.008 m 244.398 88.008 l S Q
|
||||
0.758947 w
|
||||
[ 2.27684 2.27684] 0 d
|
||||
q 1 0 0 -1 0 88 cm
|
||||
264.359 0.008 m 264.359 88.008 l S Q
|
||||
0.8 w
|
||||
[ 2.4 2.4] 0 d
|
||||
q 1 0 0 -1 0 88 cm
|
||||
305 0.008 m 305 88.008 l S Q
|
||||
0 0 1 rg
|
||||
1.6 w
|
||||
[] 0.0 d
|
||||
q 1 0 0 -1 0 88 cm
|
||||
73.59 28.996 m 96.336 28.996 l 100.348 5.008 l 120.543 5.008 l 123.824
|
||||
28.922 l 144.605 28.922 l 148.395 4.934 l 264.168 4.934 l 268.496 28.922
|
||||
l 304.793 28.922 l S Q
|
||||
0 1 0 rg
|
||||
q 1 0 0 -1 0 88 cm
|
||||
135.07 41.5 m 240.449 41.5 l S Q
|
||||
152.426 51.328 m 152.426 49.719 l 153.363 49.719 l 153.684 49.719 153.918
|
||||
49.781 154.066 49.906 c 154.223 50.039 154.301 50.25 154.301 50.531 c 154.301
|
||||
50.801 154.223 51 154.066 51.125 c 153.918 51.258 153.684 51.328 153.363
|
||||
51.328 c h
|
||||
152.426 53.125 m 152.426 51.797 l 153.301 51.797 l 153.582 51.797 153.793
|
||||
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|
||||
52.688 154.086 52.848 153.941 52.953 c 153.793 53.066 153.582 53.125 153.301
|
||||
53.125 c h
|
||||
151.832 53.609 m 153.332 53.609 l 153.789 53.609 154.137 53.516 154.379
|
||||
53.328 c 154.629 53.141 154.754 52.875 154.754 52.531 c 154.754 52.258
|
||||
154.691 52.047 154.566 51.891 c 154.441 51.734 154.254 51.633 154.004 51.594
|
||||
c 154.293 51.531 154.52 51.398 154.676 51.203 c 154.84 51.004 154.926 50.754
|
||||
154.926 50.453 c 154.926 50.066 154.789 49.766 154.52 49.547 c 154.258
|
||||
49.336 153.883 49.234 153.395 49.234 c 151.832 49.234 l h
|
||||
156.188 53.797 m 156.734 53.797 l 156.734 49.234 l 156.188 49.234 l h
|
||||
159.246 52.141 m 158.953 52.141 158.723 52.023 158.559 51.797 c 158.391
|
||||
51.578 158.309 51.27 158.309 50.875 c 158.309 50.477 158.391 50.164 158.559
|
||||
49.938 c 158.723 49.719 158.953 49.609 159.246 49.609 c 159.527 49.609
|
||||
159.75 49.719 159.918 49.938 c 160.082 50.164 160.168 50.477 160.168 50.875
|
||||
c 160.168 51.258 160.082 51.566 159.918 51.797 c 159.75 52.023 159.527
|
||||
52.141 159.246 52.141 c h
|
||||
159.246 52.594 m 159.715 52.594 160.078 52.441 160.34 52.141 c 160.609
|
||||
51.836 160.746 51.414 160.746 50.875 c 160.746 50.332 160.609 49.91 160.34
|
||||
49.609 c 160.078 49.305 159.715 49.156 159.246 49.156 c 158.766 49.156
|
||||
158.391 49.305 158.121 49.609 c 157.859 49.91 157.73 50.332 157.73 50.875
|
||||
c 157.73 51.414 157.859 51.836 158.121 52.141 c 158.391 52.441 158.766
|
||||
52.594 159.246 52.594 c h
|
||||
164.234 52.391 m 164.234 51.891 l 164.086 51.973 163.938 52.035 163.781
|
||||
52.078 c 163.625 52.117 163.469 52.141 163.312 52.141 c 162.969 52.141
|
||||
162.695 52.023 162.5 51.797 c 162.312 51.578 162.219 51.27 162.219 50.875
|
||||
c 162.219 50.469 162.312 50.156 162.5 49.938 c 162.695 49.719 162.969 49.609
|
||||
163.312 49.609 c 163.469 49.609 163.625 49.629 163.781 49.672 c 163.938
|
||||
49.711 164.086 49.773 164.234 49.859 c 164.234 49.359 l 164.086 49.285
|
||||
163.93 49.234 163.766 49.203 c 163.609 49.172 163.441 49.156 163.266 49.156
|
||||
c 162.766 49.156 162.367 49.305 162.078 49.609 c 161.785 49.922 161.641
|
||||
50.344 161.641 50.875 c 161.641 51.406 161.785 51.82 162.078 52.125 c 162.379
|
||||
52.438 162.785 52.594 163.297 52.594 c 163.461 52.594 163.625 52.578 163.781
|
||||
52.547 c 163.938 52.516 164.086 52.461 164.234 52.391 c h
|
||||
166.902 50.891 m 166.465 50.891 166.16 50.836 165.996 50.734 c 165.828
|
||||
50.629 165.746 50.457 165.746 50.219 c 165.746 50.031 165.809 49.879 165.934
|
||||
49.766 c 166.059 49.648 166.23 49.594 166.449 49.594 c 166.738 49.594 166.973
|
||||
49.695 167.152 49.906 c 167.34 50.125 167.434 50.41 167.434 50.766 c 167.434
|
||||
50.891 l h
|
||||
167.965 51.109 m 167.965 49.234 l 167.434 49.234 l 167.434 49.734 l 167.309
|
||||
49.535 167.152 49.391 166.965 49.297 c 166.785 49.203 166.562 49.156 166.293
|
||||
49.156 c 165.957 49.156 165.691 49.25 165.496 49.438 c 165.297 49.625 165.199
|
||||
49.875 165.199 50.188 c 165.199 50.562 165.324 50.844 165.574 51.031 c
|
||||
165.824 51.219 166.191 51.312 166.684 51.312 c 167.434 51.312 l 167.434
|
||||
51.359 l 167.434 51.609 167.348 51.801 167.184 51.938 c 167.027 52.07 166.797
|
||||
52.141 166.496 52.141 c 166.309 52.141 166.125 52.113 165.949 52.062 c
|
||||
165.77 52.02 165.598 51.957 165.434 51.875 c 165.434 52.359 l 165.629 52.441
|
||||
165.824 52.5 166.012 52.531 c 166.199 52.57 166.379 52.594 166.559 52.594
|
||||
c 167.027 52.594 167.375 52.469 167.605 52.219 c 167.844 51.977 167.965
|
||||
51.609 167.965 51.109 c h
|
||||
171.48 50.906 m 171.48 51.301 171.395 51.602 171.23 51.812 c 171.074 52.031
|
||||
170.855 52.141 170.574 52.141 c 170.281 52.141 170.051 52.031 169.887 51.812
|
||||
c 169.73 51.602 169.652 51.301 169.652 50.906 c 169.652 50.52 169.73 50.219
|
||||
169.887 50 c 170.051 49.789 170.281 49.688 170.574 49.688 c 170.855 49.688
|
||||
171.074 49.789 171.23 50 c 171.395 50.219 171.48 50.52 171.48 50.906 c
|
||||
h
|
||||
172.027 49.641 m 172.027 49.078 171.902 48.664 171.652 48.391 c 171.402
|
||||
48.121 171.02 47.984 170.512 47.984 c 170.324 47.984 170.145 48 169.98
|
||||
48.031 c 169.812 48.062 169.652 48.105 169.496 48.156 c 169.496 48.688 l
|
||||
169.652 48.594 169.801 48.531 169.949 48.5 c 170.105 48.461 170.266 48.438
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%%Trailer
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end restore
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38
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f
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%%Trailer
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end restore
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33
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