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