[OPT] TP 5

SPE/OPT/TP 2/.kile/tp2.kilepr.gui

@@ -6,7 +6,7 @@ lastDocument=Questions.tex
 
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 Bookmarks=
-Encoding=
+Encoding=UTF-8
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 Highlighting Set By User=false
 Indentation Mode=normal
@@ -22,8 +22,8 @@ open=false
 order=-1
 
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-CursorColumn=14
+CursorColumn=0
-CursorLine=35
+CursorLine=27
 Dynamic Word Wrap=true
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SPE/OPT/TP 2/tp2.kilepr

@@ -20,7 +20,7 @@ QuickBuild=
 
 [item:Questions.tex]
 archive=true
-encoding=
+encoding=UTF-8
 highlight=LaTeX
 mode=LaTeX
 

SPE/OPT/TP 3/.kile/questions.kilepr.gui

@@ -2,12 +2,29 @@
 kile_livePreviewEnabled=true
 kile_livePreviewStatusUserSpecified=false
 kile_livePreviewTool=LivePreview-PDFLaTeX
-lastDocument=
+lastDocument=Questions.tex
+
+[document-settings,item:Questions.tex]
+Bookmarks=
+Encoding=UTF-8
+Highlighting=LaTeX
+Highlighting Set By User=false
+Indentation Mode=normal
+Mode=LaTeX
+Mode Set By User=false
 
 [item:Questions.tex]
 open=true
-order=-1
+order=0
 
 [item:questions.kilepr]
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 order=-1
+
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+CursorColumn=18
+CursorLine=32
+Dynamic Word Wrap=true
+JumpList=
+TextFolding=[]
+ViMarks=.,32,18,[,32,18,],32,18

SPE/OPT/TP 3/Questions.tex

@@ -31,5 +31,4 @@
    S'il y a reconstruction, dans le pire des cas, cette reconstruction s'effectue sur l'arbre entier en $O(n)$ puis puisque la reconstruction crée un arbre dont tous les noeuds sont équilibrés, il n'y aura donc pas d'autre reconstruction. Ainsi en notant $C_h$ la complexité d'un appel entrainant une reconstruction, on a : $$C_h = O(n) + c_h = O(n) + O(lg(n)) = O(n)$$
    CQFD (ça va, c'est pas si pénible que ça les maths (de ce niveau là en tout cas))
    \end{enumerate}
-
 \end{document}

SPE/OPT/TP 3/questions.kilepr

@@ -20,9 +20,9 @@ QuickBuild=
 
 [item:Questions.tex]
 archive=true
-encoding=
+encoding=UTF-8
-highlight=
+highlight=LaTeX
-mode=
+mode=LaTeX
 
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 archive=true

SPE/OPT/TP 5/.kile/questions.kilepr.gui

@@ -0,0 +1,30 @@
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+kile_livePreviewStatusUserSpecified=false
+kile_livePreviewTool=LivePreview-PDFLaTeX
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+
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SPE/OPT/TP 5/Questions.aux

@@ -0,0 +1,2 @@
+\relax 
+\@writefile{toc}{\contentsline {section}{\numberline {I}Graphes définis par listes d'adjacences}{1}\protected@file@percent }

SPE/OPT/TP 5/Questions.log

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SPE/OPT/TP 5/Questions.tex

@@ -0,0 +1,31 @@
+\documentclass[a4paper,10pt]{article}
+%\documentclass[a4paper,10pt]{scrartcl}
+\usepackage{mathtools}
+
+\usepackage[utf8]{inputenc}
+\renewcommand{\thesection}{\Roman{section}} 
+\newcommand{\sectioni}[2]{\setcounter{section}{#1}\addtocounter{section}{-1}\section{#2}}
+\newcommand{\subsectioni}[2]{\setcounter{subsection}{#1}\addtocounter{subsection}{-1}\subsection{#2}}
+\title{Questions du TP 5}
+\author{}
+\date{}
+
+\pdfinfo{%
+  /Title    ()
+  /Author   ()
+  /Creator  ()
+  /Producer ()
+  /Subject  ()
+  /Keywords ()
+}
+
+\begin{document}
+    \maketitle
+    \section{Graphes définis par listes d'adjacences}
+        \begin{enumerate}
+         \item Si le graphe n'est est orienté, au lieu d'ajouter \textbf{j} à \textbf{g.(i)} et \textbf{i} à \textbf{g.(j)}, on se contente d'ajouter j à g.(i).
+         \item De même, au lieu de retirer \textbf{j} de \textbf{g.(i)} et \textbf{i} de \textbf{g.(j)}, on se contente de retirer \textbf{j} de \textbf{g.(i)}.
+         \item Ici on a \textbf{ajoute\_sommet : int $\rightarrow$ int $\rightarrow$ graphe1 $\rightarrow$ graphe1}, or l'appel d'exemple est \textbf{ajoute\_sommet g}. On supposera que \textbf{ajoute\_sommet} est du type : \textbf{graphe1 $\rightarrow$ graphe1}.
+        \end{enumerate}
+
+\end{document}

SPE/OPT/TP 5/main.ml

@@ -0,0 +1,95 @@
+type graphel = int list array;;
+
+let ajoute_arete i j (g:graphel) = 
+	let rec ajoute k l = match l with
+		| [] -> [k]
+		| h::t when h=k -> h::(ajoute k t)
+		| h::t -> l in
+	g.(i) <- ajoute j g.(i);
+	g.(j) <- ajoute i g.(j);;
+
+let supprime_arete i j (g:graphel) =
+	let rec retire k l = match l with
+		| h::t when h=k -> t
+		| h::t -> h::(retire k t)
+		| _ -> l in
+	g.(i) <- retire j g.(i);
+	g.(j) <- retire i g.(j);;
+
+let ajoute_sommet (g:graphel) =
+	let n = Array.length g in
+	let g2 = Array.make (n+1) [] in
+	for i = 0 to n-1 do
+		g2.(i) <- g.(i)
+	done;
+	g2;;
+
+let supprime_sommet i (g:graphel) = 
+	let n = Array.length g in
+	let g2 = Array.make (n-1) [] in
+	let rec parcours l = match l with
+		| [] -> []
+		| h::t when h=i -> parcours t
+		| h::t when h<i -> h::(parcours t)
+		| h::t when h>i -> (h-1)::(parcours t) in
+	for j = 0 to n-2 do
+		if j < i then
+			g2.(j) <- parcours g.(j)
+		else
+			g2.(j) <- parcours g.(j+1)
+	done;
+	g2;;
+
+type graphem = int array array;;
+
+let ajoute_aretem i j (g:graphem) = 
+	g.(i).(j) <- 1;
+	g.(j).(i) <- 1;;
+
+let supprime_aretem i j (g:graphem) = 
+	g.(i).(j) <- 0;
+	g.(j).(i) <- 0;;
+
+let ajoute_sommetm (g:graphem) = 
+	let n = Array.length g in
+	let g2 = Array.make_matrix n n 0 in
+	for i = 0 to n-1 do
+		for j = 0 to n-1 do
+			g2.(i).(j) <- g.(i).(j)
+		done
+	done;
+	g2;;
+
+let supprime_sommetm k (g:graphem) = 
+	let n = Array.length g in
+	let g2 = Array.make_matrix (n-1) (n-1) 0 in
+	for i = 0 to n-2 do
+		for j = 0 to n-2 do
+			let a = if i < k then i else i+1 in
+			let b = if j < k then j else j+1 in
+			g2.(i).(j) <- g.(a).(b)
+		done
+	done;
+	g2;;
+
+let conversion_lm (g:graphel) = 
+	let n = Array.length g in
+	let g2 = Array.make_matrix n n 0 in
+	for i = 0 to n-1 do
+		let ajoute j = ajoute_aretem i j g2 in
+		List.map ajoute g.(i)
+	done;
+	g2;;
+
+let conversion_ml (g:graphem) =
+	let n = Array.length	 g in
+	let g2 = Array.make n [] in
+	for i = 0 to n-1 do
+		for j = 0 to n-1 do
+			if g.(i).(j) = 1 then
+				ajoute_arete i j g2
+			else ()
+		done
+	done;
+	g2;;
+

SPE/OPT/TP 5/questions.kilepr

@@ -0,0 +1,31 @@
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+img_extensions=.eps .jpg .jpeg .png .pdf .ps .fig .gif
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+kileversion=2.9.93
+masterDocument=
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+pkg_extIsRegExp=false
+pkg_extensions=.cls .sty .bbx .cbx .lbx
+src_extIsRegExp=false
+src_extensions=.tex .ltx .latex .dtx .ins
+
+[Tools]
+MakeIndex=
+QuickBuild=
+
+[item:Questions.tex]
+archive=true
+encoding=UTF-8
+highlight=LaTeX
+mode=LaTeX
+
+[item:questions.kilepr]
+archive=true
+encoding=
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