First class

content/chapters/part1/1.tex

@@ -0,0 +1,141 @@
+\chapter{Back to basics}
+
+\begin{algorithm}
+	\caption{Search an element in an array}
+	\begin{algorithmic}[1]
+		\Function{Search}{A: Array(n), E: element}
+		\For {(i=0; i < n; i++)}
+		\If {A[i] $ = $ E}
+		\State \Return \True
+		\EndIf
+		\EndFor
+		\State \Return \False
+		\EndFunction
+	\end{algorithmic}
+\end{algorithm}
+
+\begin{algorithm}
+	\caption{Search an element in an array using a while loop}
+	\begin{algorithmic}[1]
+		\Function{Search}{A: Array(n), E: element}
+		\State $i \gets 0$
+		\While {$i < n$}
+		\If {A[i] $ = $ E}
+		\State \Return \True
+		\EndIf
+		\State $i \gets i + 1$
+		\EndWhile
+		\State \Return \False
+		\EndFunction
+	\end{algorithmic}
+\end{algorithm}
+
+\begin{algorithm}
+	\caption{Search an element in an array using a while loop (bis)}
+	\begin{algorithmic}[1]
+		\Function{Search}{A: Array(n), E: element}
+		\Comment{Version prefered by the professor}
+		\State $i \gets 0$
+		\While {$i < n$ and $A[i] \neq E$}
+		\If {A[i] $ = $ E}
+		\State \Return \True
+		\EndIf
+		\State $i \gets i + 1$
+		\EndWhile
+		\If {$i = n$}
+		\State \Return \False
+		\Else
+		\State \Return \True
+		\EndIf
+		\EndFunction
+	\end{algorithmic}
+\end{algorithm}
+
+\begin{algorithm}
+	\caption{Count the occurences of an element in an array}
+	\begin{algorithmic}[1]
+		\Function{Search}{A: Array(n), E: element}
+		\State $c \gets 0$
+		\For{$i = 0$; $i < n$; $i++$}
+		\If {A[i] $ = $ E}
+		\State $c \gets c + 1$
+		\EndIf
+		\EndFor
+		\State \Return $c$
+		\EndFunction
+	\end{algorithmic}
+\end{algorithm}
+
+\chapter{Motif}
+
+\begin{algorithm}
+	\caption{Brute-force search of a motif in a sequence}
+	\begin{algorithmic}[1]
+		\Function{FindMotif}{S: Array(n), M: Array(m)}
+		\Returns{list of position}
+		\State $pos \gets $ empty list
+		\State $i \gets 0$
+		\While {$i < n - m + 1$}
+		\State $j \gets 0$
+		\While {$j < m$ and S[i+j] $ = $ M[j]}
+		\State $j++$
+		\EndWhile
+		\If {$j = m$}
+		\State add $i$ to $pos$
+		\EndIf
+		\State $i++$
+		\EndWhile
+		\State \Return $pos$
+		\EndFunction
+	\end{algorithmic}
+\end{algorithm}
+
+\begin{algorithm}
+	\caption{Knuth-Morris-Pratt algorithm}
+	\begin{algorithmic}[1]
+		\Function{KMP\_Search}{S: Array(n), M: Array(m)}
+		\Returns{Integer}
+		\State $table \gets \Call{KMP\_Table}{M}$
+		\State $c \gets 0$ \Comment{Count the number of matches}
+		\State $i \gets 0$
+		\State $j \gets 0$
+		\While {$i < n$}
+			\If{$S[i] = M[i]$}
+				\State $i \gets i + 1$
+				\State $j \gets j + 1$
+			\EndIf
+			\If {$j = m$}
+				\State $c \gets c + 1$
+				\State $j \gets table[j-1]$
+			\ElsIf {$j < n$ and $M[j] \neq S[i]$}
+				\If {$j \neq 0$}
+					\State $j \gets table[j-1]$
+				\Else
+					\State $i \gets i + 1$
+				\EndIf
+			\EndIf`
+			\EndWhile
+		\State \Return $c$
+		\EndFunction
+
+		\Function{KMP\_Table}{M: Array(m)}
+		\State \textbf{Returns} Array(m)
+		\State $previous \gets 0$
+		\State $table \gets $ array of zeros of size m
+		\For {$i = 0$; $i < m$; $i++$}
+			\If {$M[i] = M[previous]$}
+				\State $previous \gets previous + 1$
+				\State $table[i] \gets previous$
+				\State $i \gets i + 1$
+			\Else
+				\If {$previous = 0$}
+					\State $previous \gets table[previous - 1]$
+				\Else
+					\State $table[i] \gets 0$
+					\State $i \gets 1$
+				\EndIf
+			\EndIf
+		\EndFor
+		\EndFunction
+	\end{algorithmic}
+\end{algorithm}

definitions.tex

@@ -0,0 +1,3 @@
+\newcommand{\Returns}[1]{
+	\State \textbf{Returns} #1
+}

main.tex

@@ -8,14 +8,25 @@
 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
 
 \documentclass[
-    a4paper,
+	a4paper,
-    fontsize=10pt,
+	fontsize=10pt,
-    fleqn,
+	fleqn,
-    oneside
+	oneside
 ]{scrbook}
 
 \usepackage{mus}
 
+\RequirePackage{algorithm}
+\RequirePackage{algorithmicx}
+\RequirePackage[noEnd=false]{algpseudocodex}
+\newcommand{\algorithmautorefname}{Algorithm} % Allow autoref.
+% Define macros to typeset boolean in pseudocode environments
+\algnewcommand{\True}{\textbf{\texttt{true}}}
+\algnewcommand{\False}{\textbf{\texttt{false}}}
+\algnewcommand{\NIL}{\textbf{\texttt{NIL}}}
+\algnewcommand{\NULL}{\textbf{\texttt{null}}}
+
+
 \titlehead{GENIOMHE}
 \title{Sequence \newline{}algorithms}
 \author{Samuel Ortion}
@@ -23,33 +34,32 @@
 \cursus{GENIOMHE}
 \university{Université Paris-Saclay, Université d'Évry val d'Essonne}
 \semester{M1 - T3}
-\date{Spring 2024}
+\date{2024}
 
-\input{definitions}
 
 \hypersetup{
-    pdftitle={
+	pdftitle={
-        Course - Sequence algorithms
+			Course - Sequence algorithms
-    },
+		},
-    pdfauthor={
+	pdfauthor={
-            Samuel Ortion
+			Samuel Ortion
-        },
+		},
-    pdfsubject={},
+	pdfsubject={},
-    pdfkeywords={},
+	pdfkeywords={},
-    pdfcreator={LaTeX}
+	pdfcreator={LaTeX}
 }
 
 \addbibresource{references}
 
 \usepackage[
-    type={CC},
+	type={CC},
-    modifier={by-sa},
+	modifier={by-sa},
-    version={4.0},
+	version={4.0},
 ]{doclicense}
 
+\input{definitions}
 \input{preamble}
 \input{glossary}
-\input{definitions}
 
 \definecolor{clementine}{HTML}{dfa000}
 \colorlet{primary}{clementine}
@@ -62,11 +72,13 @@
 
 \tableofcontents
 
-\doclicenseThis%
+% \doclicenseThis%
 
-% \input{content/introduction}
+\newpage
 
-% \input{content/chapters/include}
+% \input{content ./introduction}
+
+\input{content/chapters/include}
 
 \chapter{}