From b47e5b1518d7089a2f6fdba439cf35dcf29e6089 Mon Sep 17 00:00:00 2001 From: Anhgelus Morhtuuzh Date: Sun, 19 Oct 2025 23:11:41 +0200 Subject: Cours du 13 au 17 octobre --- .../2- Programmation en ASM Mips.md | 37 +- .../architecture des ordinateurs/td/25-10-08.md | 2 +- .../architecture des ordinateurs/td/25-10-15.md | 125 + .../1- Augustin et le scepticisme.md" | 29 + ...epticisme probabiliste de Jean de Salisbury.md" | 8 + .../3- Possibilit\303\251 de la connaissance.md" | 35 + .../td/3-.md" | 17 - .../td/4- Solution.md" | 33 + .../4- Interpr\303\251ter les formules.md" | 35 + .../logique et notions formelles/td/25-10-13.md | 23 + .../td/25-10-17.pdf" | Bin 0 -> 178295 bytes .../td/25-10-17.tex" | 92 + .../td/template.tex" | 2 +- .../td/1- Frege.md" | 43 + .../td/3- Merleau-Ponty.md" | 28 + semestre 3/philosophie politique/2- Punir.md | 34 + .../structures des donn\303\251es/3- Hash.md" | 28 +- .../5- File de priorit\303\251.md" | 2 +- .../6- Arbre binaire de recherche.md" | 70 + .../tme/tme3-5/exo1/biblioLC.h" | 2 +- .../tme/tme3-5/exo1/entreeSortieLC.h" | 1 + .../tme/tme3-5/exo1/main.c" | 2 +- .../tme/tme3-5/exo2/GdeBiblio.txt" | 100000 ++++++++++++++++++ .../tme/tme3-5/exo2/Makefile" | 15 + .../tme/tme3-5/exo2/biblioH.c" | 147 + .../tme/tme3-5/exo2/biblioH.h" | 45 + .../tme/tme3-5/exo2/entreeSortieH.c" | 44 + .../tme/tme3-5/exo2/entreeSortieH.h" | 10 + .../tme/tme3-5/exo2/main.c" | 71 + 29 files changed, 100951 insertions(+), 29 deletions(-) create mode 100644 semestre 3/architecture des ordinateurs/td/25-10-15.md create mode 100644 "semestre 3/histoire philosophie m\303\251di\303\251vale/2- Scepticisme probabiliste de Jean de Salisbury.md" create mode 100644 "semestre 3/histoire philosophie m\303\251di\303\251vale/td/3- Possibilit\303\251 de la connaissance.md" delete mode 100644 "semestre 3/histoire philosophie m\303\251di\303\251vale/td/3-.md" create mode 100644 "semestre 3/histoire philosophie m\303\251di\303\251vale/td/4- Solution.md" create mode 100644 "semestre 3/logique et notions formelles/4- Interpr\303\251ter les formules.md" create mode 100644 semestre 3/logique et notions formelles/td/25-10-13.md create mode 100644 "semestre 3/math\303\251matiques discr\303\250tes/td/25-10-17.pdf" create mode 100755 "semestre 3/math\303\251matiques discr\303\250tes/td/25-10-17.tex" create mode 100644 "semestre 3/philosophie g\303\251n\303\251rale/td/1- Frege.md" create mode 100644 "semestre 3/philosophie g\303\251n\303\251rale/td/3- Merleau-Ponty.md" create mode 100644 semestre 3/philosophie politique/2- Punir.md create mode 100644 "semestre 3/structures des donn\303\251es/6- Arbre binaire de recherche.md" create mode 100644 "semestre 3/structures des donn\303\251es/tme/tme3-5/exo2/GdeBiblio.txt" create mode 100644 "semestre 3/structures des donn\303\251es/tme/tme3-5/exo2/Makefile" create mode 100644 "semestre 3/structures des donn\303\251es/tme/tme3-5/exo2/biblioH.c" create mode 100644 "semestre 3/structures des donn\303\251es/tme/tme3-5/exo2/biblioH.h" create mode 100644 "semestre 3/structures des donn\303\251es/tme/tme3-5/exo2/entreeSortieH.c" create mode 100644 "semestre 3/structures des donn\303\251es/tme/tme3-5/exo2/entreeSortieH.h" create mode 100644 "semestre 3/structures des donn\303\251es/tme/tme3-5/exo2/main.c" (limited to 'semestre 3') diff --git a/semestre 3/architecture des ordinateurs/2- Programmation en ASM Mips.md b/semestre 3/architecture des ordinateurs/2- Programmation en ASM Mips.md index 0e1de16..002c89e 100644 --- a/semestre 3/architecture des ordinateurs/2- Programmation en ASM Mips.md +++ b/semestre 3/architecture des ordinateurs/2- Programmation en ASM Mips.md @@ -335,4 +335,39 @@ Branchement sont en format I **Dans tous les cas, on a besoin de savoir où se trouve l'étiquette pour la coder** |> on a donc besoin de le faire en deux étapes (on les appelle "passe") 1. on s'occupe de toutes les instructions sans traiter les étiquettes -2. on traite les étiquettes après qu'on connait bien tout \ No newline at end of file +2. on traite les étiquettes après qu'on connait bien tout + +**Revoir la construction des sauts** +## Tableaux, structures +**revoir le début des tableaux** + +Un tableau de taille $n$ prend $n$ fois la taille du type stocké +|> un tableau d'entier prend $4n$ octets + +L'adresse du $i$-ième élément du tableau est l'adresse du début $+ i\times n$ +|> c'est déréférencer `&T[i]` + +On déclare les tableaux comme +```asm +.text +tab: .word 1, 2, 3 # équivalent de int tab[] = {1,2,3}; +``` + +Attention à l'alignement quand on utilise les tableaux ! + +Les structures sont des ensembles de variables +|> on utilise les `.space` pour en initialiser des vides + +**besoin de vérifier si c'est complet** +## Variables locales +Elles ne sont pas au même endroit que les variables globales +|> elles sont dans une zone variable qui contient les infos dynamiques +-> la pile ! +|> création d'un contexte pour chaque fonction +|> contexte sont en LIFO, d'où la pile + +**rattraper la gestion mémoire** +`0x8000 0000` -> égal ou plus grand pour le système +|> ce qui précède `0x8000 0000` est pour l'utilisateur +|> le fond de la partie utilisateur sont les contextes de fonction (la pile !) +-> le sommet de la pile est variable et est dans un registre particulier, le `$29` (stack pointer) \ No newline at end of file diff --git a/semestre 3/architecture des ordinateurs/td/25-10-08.md b/semestre 3/architecture des ordinateurs/td/25-10-08.md index 45c488e..eb4a9e3 100644 --- a/semestre 3/architecture des ordinateurs/td/25-10-08.md +++ b/semestre 3/architecture des ordinateurs/td/25-10-08.md @@ -68,4 +68,4 @@ chaine: .asciiz "toto" ori $2, $0, 10 syscall -``` +``` \ No newline at end of file diff --git a/semestre 3/architecture des ordinateurs/td/25-10-15.md b/semestre 3/architecture des ordinateurs/td/25-10-15.md new file mode 100644 index 0000000..5046904 --- /dev/null +++ b/semestre 3/architecture des ordinateurs/td/25-10-15.md @@ -0,0 +1,125 @@ +--- +tags: + - sorbonne + - informatique + - architecture-des-ordinateurs + - td +semestre: 3 +--- +```asm +beq $8, $9, label # va à label si $8 == $9 +bne $8, $9, label # va à label si $8 != $9 +blez $8, label # va à label si $8 <= 0 +bltz $8, label # va à label si $8 < 0 +bgez $8, label # va à label si $8 >= 0 +bgtz $8, label # va à label si $8 > 0 +j label # va à label +jr r1 # va à l'adresse mémoire dans r1 +``` + +```asm +.data +a: .word -5 +b: .word 3 +.text +# on commence par le nom de la fonction +main: + lui $8, 0x1001 + lw $9, 0($8) + # if + bne $9, $0, else + # then + lw $9, 0($8) # on recharge à chaque fois qu'on l'utilise + lw $10, 4($8) + addu $9, $9, $10 + sw $9, 0($8) + j endif +else: + lw $9, 0($8) + lw $10, 4($8) + subu $9, $9, $10 + sw $9, 0($8) +endif: + ori $2, $0, 10 + syscall +``` + +```asm +.data +p: .word 10 # 0 -> $9 +q: .word 20 # 4 -> $10 +i: .word 0 # 8 -> $11 +s: .word 0 # 12 -> $12 +.text +main: + lui $8, 0x1001 + # i = p + lw $9, 0($8) + or $11, $0, $9 + sw $11, 8($8) +for: + # i <= q + lw $10, 4($8) + lw $11, 8($9) + slt $13, $10, $11 + bne $13, $0, end_for + # s += i + lw $12, 12($8) + lw $11, 8($8) + addu $12, $12, $11 + sw $12, 12($8) + # i++ + lw $11, 8($8) + addiu $11, $11, 1 + sw $11, 8($8) + j for +end_for: + # printf("%d", s) + ori $2, $0, 1 + lw $12, 12($8) + or $4, $0, $12 + syscall + # exit() + ori $2, $0, 10 + syscall +``` + +```asm +.data +max: .word 0 +tab: .word -2, 1, 5, -7, 42, -9, 0 +.text +main: + lui $8, 0x1001 + ori $12, $0, $8 + addui $8, $8, 4 + # max = tab[0] + lw $9, 4($8) + or $10, $0, $9 + ori $11, $0, $8 + sw $10, 0($12) +while: + # tab[i] != 0 + lw $9, 0($8) + beq $9, 0, end_while + # if tab[i] > max + lw $10, 0($12) + lw $9, 0($8) + slt $10, $10, $9 + beq $10, $0, skip + # max = tab[i] + lw $9, 0($8) + lw $10, 0($12) + or $10, $0, $9 + sw $10, 0($12) +skip: + # i++ + addiu $8, $8, 4 + j while +end_while: + ori $2, $0, 1 + lw $4, 0($12) + syscall + ori $2, $0, 10 + syscall +``` \ No newline at end of file diff --git "a/semestre 3/histoire philosophie m\303\251di\303\251vale/1- Augustin et le scepticisme.md" "b/semestre 3/histoire philosophie m\303\251di\303\251vale/1- Augustin et le scepticisme.md" index 12cafc5..fbbddfd 100644 --- "a/semestre 3/histoire philosophie m\303\251di\303\251vale/1- Augustin et le scepticisme.md" +++ "b/semestre 3/histoire philosophie m\303\251di\303\251vale/1- Augustin et le scepticisme.md" @@ -70,3 +70,32 @@ Le scepticisme se voit vraiment comme une réaction au dogmatisme stoïcien > [!warning] Augustin dit que c'est la pensée de Cicéron, mais rien ne le prouve > Aucun texte, aucune source ne permet de confirmer que c'était bien les idées de Cicéron + +Page 17, texte 2 + +Qu'est-ce qu'on entend pas savoir ? +|> les sens peuvent nous tromper +|-> besoin de laisser ce qui nous provient des sens +|> il reste des certitudes, au moins celle de vivre +|> même si je suis trompé, je suis (*si falor sum*) +-> être est la condition de possibilité de notre réalité +|> certitude que rien ne peut rendre illusoire + +> [!NOTE] Différence avec Descartes +> Augustin n'utilise pas que cet argument +> Les finalités sont différentes -> Descartes utilise ce pov comme point central de sa philosophie +> +> Pour Augustin, la science est intime -> il faut se regarder soit-même pour faire de la science + +Augustin justifie l'adéquation entre notre perception et le monde par dieu +|> les sens fonctionnent de la même manière que les faits provenant de témoignages +-> il n'existe pas de raison de douter systématiquement de leur fiabilité +|> cet argument sert à convaincre le sceptique religieux +|> argument est moral / pragmatique -> si on rejette ça, on perd beaucoup trop de connaissances + +Peut-on parler de connaissance provenant des sens ? +|> les sens sont très importants +|> Augustin dit que tout sera confirmé par la vision + +> [!NOTE] Pourquoi répondre aux sceptiques ? +> Beaucoup pensent qu'il est nécessaire de répondre aux sceptiques pour pouvoir fonder la métaphysique / la science \ No newline at end of file diff --git "a/semestre 3/histoire philosophie m\303\251di\303\251vale/2- Scepticisme probabiliste de Jean de Salisbury.md" "b/semestre 3/histoire philosophie m\303\251di\303\251vale/2- Scepticisme probabiliste de Jean de Salisbury.md" new file mode 100644 index 0000000..310930f --- /dev/null +++ "b/semestre 3/histoire philosophie m\303\251di\303\251vale/2- Scepticisme probabiliste de Jean de Salisbury.md" @@ -0,0 +1,8 @@ +--- +tags: + - sorbonne + - philosophie + - histoire-philosophie-médiévale +semestre: 3 +--- +Page 42 à 55 \ No newline at end of file diff --git "a/semestre 3/histoire philosophie m\303\251di\303\251vale/td/3- Possibilit\303\251 de la connaissance.md" "b/semestre 3/histoire philosophie m\303\251di\303\251vale/td/3- Possibilit\303\251 de la connaissance.md" new file mode 100644 index 0000000..2e8e919 --- /dev/null +++ "b/semestre 3/histoire philosophie m\303\251di\303\251vale/td/3- Possibilit\303\251 de la connaissance.md" @@ -0,0 +1,35 @@ +--- +tags: + - sorbonne + - philosophie + - histoire-philosophie-médiévale + - td +semestre: 3 +--- +La majorité des informations sceptique ne proviennent pas des maître, mais de sources secondaires +|> les grands sceptiques n'ont rien écrit (comme Pyhrron) +## Contre +**Faire la liste des 7 arguments contres la possibilité de la connaissance** +|> à partir de la page 5 PDF + +Relativisme sensoriel de l'arg 3 est classique + +Les arguments sceptiques sont surtout le 2, 3 et 4 +## Pour +Page 9 du PDF + +L'humain désire par nature savoir -> concept important de la _Métaphysique_ d'Aristote +|> comme la nature n'a pas créé ce désir en vain, l'humain peut savoir +-> perspective du créateur (nature) +|> le désir naturel n'est pas vain, donc l'humain peut savoir +-> perspective de réalisation (désir humain) +=> 1 et 2 sont similaires mais possèdent des perspectives différentes + +Savoir est la perfection de l'humain, donc l'humain doit pouvoir savoir pour atteindre sa perfection +|> toujours selon Aristote, mais dans _Éthique_ cette fois-ci +|> réalisation du mouvement -> mouvement a besoin de commencer et de s'arrêter + +Celui qui doute sait qu'il doute, donc on peut au moins savoir une chose +|> utilise cet arg comme un raisonnement par l'absurde +|> nier la science revient à savoir qu'on sait qu'il n'existe pas la science +-> contradiction logique en vertu du principe de non contradiction (dit PNC) \ No newline at end of file diff --git "a/semestre 3/histoire philosophie m\303\251di\303\251vale/td/3-.md" "b/semestre 3/histoire philosophie m\303\251di\303\251vale/td/3-.md" deleted file mode 100644 index 075facf..0000000 --- "a/semestre 3/histoire philosophie m\303\251di\303\251vale/td/3-.md" +++ /dev/null @@ -1,17 +0,0 @@ ---- -tags: - - sorbonne - - philosophie - - histoire-philosophie-médiévale - - td -semestre: 3 ---- -La majorité des informations sceptique ne proviennent pas des maître, mais de sources secondaires -|> les grands sceptiques n'ont rien écrit (comme Pyhrron) - -**Faire la liste des 7 arguments contres la possibilité de la connaissance** -|> à partir de la page 5 PDF - -Relativisme sensoriel de l'arg 3 est classique - -Les arguments sceptiques sont surtout le 2, 3 et 4 \ No newline at end of file diff --git "a/semestre 3/histoire philosophie m\303\251di\303\251vale/td/4- Solution.md" "b/semestre 3/histoire philosophie m\303\251di\303\251vale/td/4- Solution.md" new file mode 100644 index 0000000..9f63996 --- /dev/null +++ "b/semestre 3/histoire philosophie m\303\251di\303\251vale/td/4- Solution.md" @@ -0,0 +1,33 @@ +--- +tags: + - sorbonne + - philosophie + - histoire-philosophie-médiévale + - td +semestre: 3 +--- +Page 11 du PDF + +Définition du savoir + +4 conditions du savoir proviennent de Cristoph Grellard +1. appréhension cognitive +2. certitude su sujet percevant +3. absence d'erreur +4. *illisible* + +Deux modes d'appréhension +1. témoignage extérieur d'autrui -> Académiciens expliquent qu'on ne peut pas savoir à l'aide de ce mode +2. témoignage intérieur propre -> deux types : sensitive et intellective + +Connaissance sensitive est inébranlable +|> on est certain de ce qu'on voit +|> on accède directement à l'objet propre +-> processus de vérification sensible + +Connaissance intellective est vrai si : +- perçoit la vérité sans aucune erreur ni tromperie +- ne doit pas être contredit pas une intellection plus vraie, ou reçue d'un sens plus vrai +-> si répond à tout cela, devient alors inutile de douter de la connaissance intellective +|> un fou ou qlq'un qui dort est en vie et est capable de conclure la même chose avec ce qu'il voit + diff --git "a/semestre 3/logique et notions formelles/4- Interpr\303\251ter les formules.md" "b/semestre 3/logique et notions formelles/4- Interpr\303\251ter les formules.md" new file mode 100644 index 0000000..0d362ff --- /dev/null +++ "b/semestre 3/logique et notions formelles/4- Interpr\303\251ter les formules.md" @@ -0,0 +1,35 @@ +--- +tags: + - sorbonne + - philosophie + - logique-notions-formelles +semestre: 3 +--- +Les connecteurs propositionnels sont vérifonctionnels -> la valeur de vérité d'une formule composée dépend seulement de la valeur de vérité des formules qui la composent +|> permet de trouver les valeurs de vérité de toutes les formules +-> il suffit d'interpréter + +Interpréter les formules est une fonction qui associe une valeur de vérité à chacune de ces lettres +|> est la distribution de valeur de vérité (dvv) + +Une dvv pour le langage propositionnelle $\{p,q,r,s\}$ est par exemple : +$$ d : \{p,q,r,s\} \to \{V,F\} $$ +telle que +$$ d(p)=V,\quad d(q)=F,\quad d(r)=F,\quad d(s)=V $$ +*rattraper $\bar d$ diapo 8* + +La table de vérité est un tableau donnant les différentes valeurs de vérité des différentes dvv existantes + +Quand $d$ est vrai pour une formule (i.e. $\bar d(\phi) = V$ ), on dit qu'elle satisfait la formule ou que c'est un modèle de la formule + +Une tautologie est une formule qui est vraie dans tous les cas (pour toutes les ddv) +|> on utilise $\models \phi$ pour dire que $\phi$ est une tautologie +|> $p\lor\lnot p$ est une tautologie +|> $(((p\to q)\to p) \to p)$ est aussi une tautologie + +Une antilogie est quand une formule est fausse dans tous les cas +|> $p\land\lnot p$ est une antilogie + +Une formule neutre n'est ni une tautologie, ni une antilogie + +$\models\phi$ si et seulement si $\lnot\phi$ est une antilogie \ No newline at end of file diff --git a/semestre 3/logique et notions formelles/td/25-10-13.md b/semestre 3/logique et notions formelles/td/25-10-13.md new file mode 100644 index 0000000..51e0b38 --- /dev/null +++ b/semestre 3/logique et notions formelles/td/25-10-13.md @@ -0,0 +1,23 @@ +--- +tags: + - sorbonne + - philosophie + - logique-notions-formelles + - td +semestre: 3 +--- +Programme du DS = tout ce qu'on a fait durant les trois premiers cours +|> possiblement le contenu de ce cours + +1. F +2. V +3. V +4. F +. + +. +1. tautologie +2. neutre +3. tautologie +4. neutre +5. \ No newline at end of file diff --git "a/semestre 3/math\303\251matiques discr\303\250tes/td/25-10-17.pdf" "b/semestre 3/math\303\251matiques discr\303\250tes/td/25-10-17.pdf" new file mode 100644 index 0000000..5b263d7 Binary files /dev/null and "b/semestre 3/math\303\251matiques discr\303\250tes/td/25-10-17.pdf" differ diff --git "a/semestre 3/math\303\251matiques discr\303\250tes/td/25-10-17.tex" "b/semestre 3/math\303\251matiques discr\303\250tes/td/25-10-17.tex" new file mode 100755 index 0000000..4715755 --- /dev/null +++ "b/semestre 3/math\303\251matiques discr\303\250tes/td/25-10-17.tex" @@ -0,0 +1,92 @@ +\documentclass[a4paper]{article} + +\usepackage[utf8]{inputenc} +\usepackage[T1]{fontenc} +\usepackage{textcomp} +\usepackage[french]{babel} +\usepackage{amsmath, amssymb} +\usepackage{amsthm} +\usepackage[svgnames]{xcolor} +\usepackage{thmtools} +\usepackage{lipsum} +\usepackage{framed} +\usepackage{parskip} + +\renewcommand{\familydefault}{\sfdefault} + +\newenvironment{AQT}{{\fontfamily{qbk}\selectfont AQT}} + +\usepackage{titlesec} +\usepackage{LobsterTwo} +\titleformat{\section}{\newpage\LobsterTwo \huge\bfseries}{\thesection.}{1em}{} +\titleformat{\subsection}{\vspace{2em}\LobsterTwo \Large\bfseries}{\thesubsection.}{1em}{} +\titleformat{\subsubsection}{\vspace{1em}\LobsterTwo \large\bfseries}{\thesubsubsection.}{1em}{} + +\title{TD Maths discrètes} +\author{William Hergès\thanks{Sorbonne Université}} + +\begin{document} + \maketitle + \section*{Exercice 1} + Soit $(P_n)_{n\geqslant 2}$ une propriété telle que~: + $$ P_n:\quad \overline{\bigcup^n_{i=0} A_i}=\bigcap^n_{i=0} \bar A_i\quad\land\quad\overline{\bigcap^n_{i=0}A_i}=\bigcup^n_{i=0}\bar A_i $$ + $P_2$ est vraie (c'est la loi de de Morgan). + + Posons $n\geqslant 2$ tel que $P_n$ soit vraie. + + Soient $A_1,\ldots,A_{n+1}$ des parties de $E$. + On pose $B_1=A_n\cup A_{n+1}$ et $B_2=A_n\cap A_{n+1}$. + \begin{align*} + \overline{\bigcup^{n-1}_{i=0} (A_i)\cup B_1} &= \bigcap^{n-1}_{i=0}(\bar A_i) \cup \bar B_1 ~\text{hypothèse de récurrence} \\ + &= \bigcap^{n+1}_{i=0} \bar A_i + \end{align*} + de même pour la deuxième partie de $P_n$. + + Alors, $P_{n+1}$ est vraie. + + Ainsi, $P_n$ est vraie pour tout $n$ supérieur ou égale à 2. + \section*{Exercice 2} + Soient $a\in\mathbb{N}$ et $n\in\mathbb{N}$ tel que $P_a(n)$ soit vraie. + + $10^n\times 10 + a = 9\times 10^n + 10^n + a$, donc c'est divisible par $9$ car $9\times 10^n$ l'est et $10^n+a$ + l'est aussi par hypothèse. + Alors, $$ P_a(n) \implies P_a(n+1) $$ + + Prenons le cas particulier $a=9$. + On a que $9 | 10^0 + a \iff 9 | 10$ est faux, donc $P_a(n)$ n'est pas vraie pour tout $n$. + Pour que $P_a(n)$ soit vraie pour tout $n$, il faut que $9|a+1$, i.e. $a=9k+1$ (pour $k\in\mathbb{N}^*$). + \section*{Exercice 3} + $$ P_n:\quad H_{2^n} \geqslant 1+n/2 $$ + + $P_0:\quad H_1=1 \geqslant 1 + 0/2$ + + Soit $n$ telle que $P_n$ soit vraie. + On a donc que $H_{2^n} \geqslant 1+n/2$. + \textbf{TODO: refaire} + \section*{Exercice 4} + \begin{enumerate} + \item $F_2=F_1$, donc $P_1$ est vraie. + + Soit $n > 0$ tel que $P_n$ soit vraie. + \begin{align*} + F_{2n} &= F_1+\ldots+F_{2n-1} \\ + F_{2n+2} &= F_{2n} + F_{2n+1} \\ + F_{2(n+1)} &= F_1+\ldots+F_{2n-1} + F_{2n+1} + \end{align*} + Donc $P_{n+1}$ est vraie. + \item[5.] $F_1 \geqslant 0$ et $F_1 \leqslant \varphi$, donc $P_1$ est vraie. + + Soit $n>0$ tel que $P_n,\ldots,P_1$ soit vraie. + \begin{align*} + \varphi^{n-2} &\leqslant &F_n& &\leqslant \varphi^{n-1} \\ + \varphi^{n-2} + \varphi^{n-3} &\leqslant &F_n+F_{n-1}& &\leqslant \varphi^{n-1} + \varphi^{n-2} \\ + \varphi^{n-2} + \varphi^{n-3} &\leqslant &F_{n+1}& &\leqslant \varphi^{n-1} + \varphi^{n-2} \\ + \end{align*} + \end{enumerate} + \section*{Exercice 7} + $P(1)$ est vraie, donc $P(2\times 1 = 2^1)$ est vraie. + Donc, $P(2\times 2 = 2^2)$ l'est aussi. + Alors, $P(2^n)$ est vraie par récurrence triviale. + Or, $(2^n)_{n\in\mathbb{N}}$ tend vers $+\infty$. + Soit $k\in\mathbb{N}$, si +\end{document} diff --git "a/semestre 3/math\303\251matiques discr\303\250tes/td/template.tex" "b/semestre 3/math\303\251matiques discr\303\250tes/td/template.tex" index 89fdc00..44f540d 100755 --- "a/semestre 3/math\303\251matiques discr\303\250tes/td/template.tex" +++ "b/semestre 3/math\303\251matiques discr\303\250tes/td/template.tex" @@ -22,7 +22,7 @@ \titleformat{\subsection}{\vspace{2em}\LobsterTwo \Large\bfseries}{\thesubsection.}{1em}{} \titleformat{\subsubsection}{\vspace{1em}\LobsterTwo \large\bfseries}{\thesubsubsection.}{1em}{} -\title{Titre} +\title{TD Maths discrètes} \author{William Hergès\thanks{Sorbonne Université}} \begin{document} diff --git "a/semestre 3/philosophie g\303\251n\303\251rale/td/1- Frege.md" "b/semestre 3/philosophie g\303\251n\303\251rale/td/1- Frege.md" new file mode 100644 index 0000000..fa68102 --- /dev/null +++ "b/semestre 3/philosophie g\303\251n\303\251rale/td/1- Frege.md" @@ -0,0 +1,43 @@ +--- +tags: + - sorbonne + - philosophie + - philosophie-générale + - td +semestre: 3 +--- +Cherche à comprendre comment le langage parle de la pensée +|> rapport entre le mot, ce qu'il signifie et le monde + +Référence, sens, représentation -> les trois parties du mot + +Référence est ce à quoi renvoie le mot dans le monde +Représentation est l'image mentale que l'on a du mot +Sens est la médiation entre nous et le réel, ce qui permet la communication et la représentation objective +-> permet de représenter toute la complexité du monde + +Carte explicative du langage + +Le mot Lune n'est pas la Lune elle-même, mais n'est pas une image mentale +|> on ne communique pas notre image mentale, on utilise le sens comme intermédiaire + +Pour Frege, toute expression référentielle est un nom propre +|> « deuxième satellite de Saturne » est un nom propre +|> la référence du nom propre est lui-même + +La représentation ne joue aucun rôle dans le langage -> le sens et la référence sont les spécificités du langage + +Frege défend un platonisme sémantique +|> les mots ne sont pas des images mentales +|> le sens est objectif et idéal + +A = B n'est pas différent de A = A +-> identité n'a pas de sens pour les noms, sinon on pourrait tjs remplacer un nom par un autre +|> relation d'identité prend place au niveau de la référence et non au niveau du sens +|> cela résout bien le problème de l'identité +-> était l'objectif de Frege + +Pourtant l'identité parle bien d'un objet et non du sens +|> elle n'apporte ainsi aucune information ou est contradictoire +-> Wittgenstein, _Tractatus logico-philosophicus_ + diff --git "a/semestre 3/philosophie g\303\251n\303\251rale/td/3- Merleau-Ponty.md" "b/semestre 3/philosophie g\303\251n\303\251rale/td/3- Merleau-Ponty.md" new file mode 100644 index 0000000..28ff276 --- /dev/null +++ "b/semestre 3/philosophie g\303\251n\303\251rale/td/3- Merleau-Ponty.md" @@ -0,0 +1,28 @@ +--- +tags: + - sorbonne + - philosophie + - philosophie-générale + - td +semestre: 3 +--- +Continuité avec Husserl -> approche phénoménologique du langage +|> langage accompagne le geste et est un geste +|> par contre, il n'est pas d'accord avec le platonisme sémantique + +Nos pensées sont liés au langage -> nous avons besoin du langage pour la comprendre +|> les obscurités du langage sont aussi celles de la pensée + +Parler, c'est une performance +|> accompagne le geste et *est* le geste + +Locke, _Essai sur l'entendement humain_ -> mots sont des vecteurs permettant de transmettre la pensée + +Atomisme = signification provient des mots +Holisme = signification provient du tout (langage lui-même) + +Saussure (philosophe) parle de la langue d'une manière holiste +|> langue est un système de signe +|> n'est pas lié à des performances langagières +|> ne possède pas d'idées, juste des différences conceptuelles +-> signes fonctionnent ensemble à l'intérieur d'un système \ No newline at end of file diff --git a/semestre 3/philosophie politique/2- Punir.md b/semestre 3/philosophie politique/2- Punir.md new file mode 100644 index 0000000..a20fe96 --- /dev/null +++ b/semestre 3/philosophie politique/2- Punir.md @@ -0,0 +1,34 @@ +--- +tags: + - sorbonne + - philosophie + - philosophie-politique +semestre: 3 +--- +## A. Pourquoi punir ? +Punition est : +- provoqué qlq chose de pénible +- en réaction à un acte et à la conscience de l'acte +- intentionnalité de punir +- [question de la légitimité] +- [question de la proportionnalité] +-> B fait X et A inflige délibérément à B qlq chose de pénible suite à X + +Scepticisme de la punition et du châtiment -> Nietzsche, _Généalogie de la morale_ +|> oublie est une force active qui garantie la régulation psychique et donc le bonheur et la sérénité +|> mémoire est construite comme une capacité à lutter contre l'oublie pour se souvenir des promesses +|> condition préalable est d'être uniforme, déterminé et prévisible (ce n'est pas une promesse) -> sinon, personne ne peut se faire confiance +-> il reste qd mm un intérêt à ce processus de dressage : besoin de passer par là pour devenir un übermench + +Objet du texte court : « L'origine des bonnes choses et en particulier du sentiment de responsabilité » +Problème : « Si l'humain a aujourd'hui le sentiment de sa responsabilité et peut-être fier de sa raison, est-ce grâce à une nature fondamentalement bonne, ou du fait de causes plus sombres ? » +Voir les enjeux dans l'exemplier + +Pendant très longtemps, on ne punissait pas pour des raisons morales +|> pour Nietzsche, c'était à cause du non respect du contrat créancier/débiteur +|> le contrat social social est arrivé après +-> créancier possède toute puissance sur le débiteur +|> besoin d'avoir un doute sur le châtiment -> n'existe pas d'équivalence réelle +|> le créancier *veut* faire souffrir, c'est pour ça qu'on ne rembourse pas +-> la justification pour la dissuasion arrive après +|> cause $\neq$ utilité finale \ No newline at end of file diff --git "a/semestre 3/structures des donn\303\251es/3- Hash.md" "b/semestre 3/structures des donn\303\251es/3- Hash.md" index 24d2d81..d200204 100644 --- "a/semestre 3/structures des donn\303\251es/3- Hash.md" +++ "b/semestre 3/structures des donn\303\251es/3- Hash.md" @@ -55,7 +55,9 @@ On suppose que la table est bien dimensionnée -> $\exists c>0,\quad m=c\times n À cause de ces hypothèses, on a des complexités en moyenne, que l'on note $0_{moy}$. -**Rattraper facteur de charge** +Facteur de charge est $\alpha=\frac nm$ où $n$ est le nombre de pairs et $m$ est la taille du tableau sous-jacent +|> est un indicateur de ses performances +|> quand devient supérieur à $0.5$, les collisions deviennent fréquentes La recherche d'un élément possédant une clé $k$ est en $O_{moy}(1)$ |> $O_{moy}(1+\alpha)=O_{moy}(\alpha)$ car $\alpha$ est la taille moyenne de la liste gérant les collisions et que $O_{moy}(1)$ provient de la complexité de $h$ @@ -75,9 +77,22 @@ On a besoin de stocker le pointeur Cherche à résoudre les problèmes des listes chaînées Maintenant, une case une ne contient qu'un élément -**Rattraper cours, j'ai trop faim pour bien prendre en note** +|> quand une case contient déjà un élément, on en cherche une autre à l'aide d'une méthode de *probing* -probing quadratic, souvent, $c=d=\frac 12$ +*Probing* détermine une nouvelle case à partir de l'ancienne +|> linéaire = $h(k,i) = (h(k)+i)\%m$ +|> quadratic = $h(k,i) = (h(k)+ci+di^2)\%m$ avec $c\geqslant 0$ et $d>0$ (souvent $c=d=\frac 12$) +|> double hachage = $h(k,i)=(h_1(k)+ih_2(k))\%m$ où $h_1$ et $h_2$ sont deux fonctions de hachage +-> $i$ est toujours le nombre de raté (i.e. $i=0$ pour le premier, $i=1$ pour le deuxième...) + +Quand on supprime un élément, on casse la chaîne -> besoin de réorganiser le tout +La recherche d'un élément ne dépend plus que de $\alpha$ +|> besoin que $\alpha$ soit inférieur à 1 (souvent, on a $\alpha \leqslant 0.8$) + +La recherche fructueuse et infructueuse sont en $O_{moy}(1)$, mais recherche fructueuse est plus rapide +|> suppression est aussi en $O_{moy}(1)$ + +Quand la supposition sur $\alpha$ est fausse (on se rapproche de 1), alors le $O_{moy}(1)$ n'est plus assuré -> besoin d'agrandir la table ## Filtre de Bloom Permet de tester efficacement si un élément est dans un ensemble |> permet d'éviter beaucoup de recherches non fructueuses @@ -86,6 +101,7 @@ Structure probabiliste permet de savoir |> avec certitude si un élément n'est pas présent |> avec une certaine probabilité si un élément est présent -> peut donner des faux positifs, mais ne donne pas de faux négatif - -**Rattraper cours pour la même raison** -pb dans l'exemple -> les flèches de w doivent arriver sur que des 1 \ No newline at end of file +![[Pasted image 20251014102252.png]] +On hash à l'aide de plusieurs fonctions les valeurs et on indique que la valeur est présente dans le tableau +|> pour vérifier si une valeur est dans le tableau, on la hash on vérifie si les valeurs indiquent toutes qu'elle est présente ! +-> peut se tromper sur la présence à cause des collisions, mais jamais sur l'absence \ No newline at end of file diff --git "a/semestre 3/structures des donn\303\251es/5- File de priorit\303\251.md" "b/semestre 3/structures des donn\303\251es/5- File de priorit\303\251.md" index 94b67e2..b1987a5 100644 --- "a/semestre 3/structures des donn\303\251es/5- File de priorit\303\251.md" +++ "b/semestre 3/structures des donn\303\251es/5- File de priorit\303\251.md" @@ -22,7 +22,7 @@ flowchart TB B --> B1 B --> B2 C --> C1 - C --> C2["$\varnothing$"] + C --> C2["ø"] ``` Un tas (min) est un arbre binaire complet diff --git "a/semestre 3/structures des donn\303\251es/6- Arbre binaire de recherche.md" "b/semestre 3/structures des donn\303\251es/6- Arbre binaire de recherche.md" new file mode 100644 index 0000000..d544129 --- /dev/null +++ "b/semestre 3/structures des donn\303\251es/6- Arbre binaire de recherche.md" @@ -0,0 +1,70 @@ +--- +tags: + - sorbonne + - informatique + - structure-des-données +semestre: 3 +--- +Propriété d'ordre dans un arbre permet d'améliorer la recherche de valeurs + +Arbre binaire de recherche (ABR) permet de représenter un ensemble ordonné +|> chaque nœud a une valeur plus grande que celles contenues dans son sous-arbre gauche et plus petite que celles dans son sous-arbre droit + +On note $h$ sa hauteur + +Il s'agit de la même implémentation que pour les btree. + +min et max sont plus simples +|> pour le min, on regarde à gauche -> $O(\log n)$ +|> pour le max, on regarde à droite -> $O(\log n)$ + +**Voir diapo pour toutes les implémentations standards** + +La vérification s'il s'agit d'un ABR est en $O(n)$ + +Très efficace si on a besoin d'avoir qlq chose de tout le temps trié +|> très efficace pour rechercher aussi (tjs en $O(h)$) + +L'insertion se fait en $O(h)$ -> on recherche où il va + +Quand on supprime, on doit remonter une valeur +|> soit on remonte son unique fils, soit on remonte le min de sous-arbre droit +|> pour supprimer un min, on le remplace juste par son unique fils (ou par rien) +-> toujours en $O(h)$ + +> [!warning] il n'existe pas de relation entre $n$ et $h$ ! +## AVL (ABR équilibré) +Cette structure cherche à équilibrer l'ABR pour avoir une relation entre $n$ et $h$ +|> besoin de gérer l'insertion et la suppression -> est compliqué de gérer ça + +On a donc créer l'AVL qui est un ABR équilibré +|> propriété d'équilibre = la différence des hauteurs des fils gauche et droit de tout nœud ne peut excéder 1 +|> on a donc $h=\log n$ +-> tout devient en $\log n$ 🎉 +|> besoin donc de gérer l'insertion et la suppression pour garder cette propriété + +AVL a besoin d'un champ en plus par rapport au BTree -> la hauteur +|> permet d'éviter de recalculer la hauteur des nœuds (qui coûte $O(h)=O(\log n)$) + +Lors de la création d'un nœud, on a besoin de calculer la hauteur + +Insertion/suppression comme dans un ABR +|> par contre, si ça déséquilibre, on corrige +|> pour corriger, on utilise des rotations *voir le diapo* +-> on ne perd pas en complexité, tout reste en $O(h) = O(\log n)$ + +*voir le diapo pour le principe précis d'insertion / suppression* +## Tableau associatif +Les AVL peuvent être pertinent pour les tableaux associatifs + +Hash est pertinent quand : +- l'ordre des clefs n'est pas pertinent +- on veut une performance constante +- fonction de hachage bien choisie + +Parcourt trié est pertinent : +- l'ordre des clefs est important +- trouver le min, le max, le successeur, le prédécesseur... +- faire des recherches par intervalles de clés + +AVL consomme moins de RAM et possède un meilleur pire cas \ No newline at end of file diff --git "a/semestre 3/structures des donn\303\251es/tme/tme3-5/exo1/biblioLC.h" "b/semestre 3/structures des donn\303\251es/tme/tme3-5/exo1/biblioLC.h" index 4db05fe..ed5ded1 100644 --- "a/semestre 3/structures des donn\303\251es/tme/tme3-5/exo1/biblioLC.h" +++ "b/semestre 3/structures des donn\303\251es/tme/tme3-5/exo1/biblioLC.h" @@ -1,5 +1,5 @@ #ifndef BIBLIO_LC_H - +#define BIBLIO_LC_H typedef struct livre{ int num; char* titre; diff --git "a/semestre 3/structures des donn\303\251es/tme/tme3-5/exo1/entreeSortieLC.h" "b/semestre 3/structures des donn\303\251es/tme/tme3-5/exo1/entreeSortieLC.h" index e5009b4..f56518e 100644 --- "a/semestre 3/structures des donn\303\251es/tme/tme3-5/exo1/entreeSortieLC.h" +++ "b/semestre 3/structures des donn\303\251es/tme/tme3-5/exo1/entreeSortieLC.h" @@ -1,4 +1,5 @@ #ifndef ENTREE_SORTIE_LC_H +#define ENTREE_SORTIE_LC_H #include "biblioLC.h" Biblio* charger_n_entrees(char* nomfic, int n); diff --git "a/semestre 3/structures des donn\303\251es/tme/tme3-5/exo1/main.c" "b/semestre 3/structures des donn\303\251es/tme/tme3-5/exo1/main.c" index b38104a..a5d7f9b 100644 --- "a/semestre 3/structures des donn\303\251es/tme/tme3-5/exo1/main.c" +++ "b/semestre 3/structures des donn\303\251es/tme/tme3-5/exo1/main.c" @@ -20,7 +20,7 @@ int main(int argc, char** argv){ int n = atoi(argv[2]); Biblio* bib = charger_n_entrees(file, n); if (!bib){ - printf("erreur lors de la lecture du fichier"); + printf("erreur lors de la lecture du fichier\n"); return 2; } printf("tout va bien :D\n"); diff --git "a/semestre 3/structures des donn\303\251es/tme/tme3-5/exo2/GdeBiblio.txt" "b/semestre 3/structures des donn\303\251es/tme/tme3-5/exo2/GdeBiblio.txt" new file mode 100644 index 0000000..454a2fc --- /dev/null +++ "b/semestre 3/structures des donn\303\251es/tme/tme3-5/exo2/GdeBiblio.txt" @@ -0,0 +1,100000 @@ +0 WLRBBMQBHCDARZOWK yhidd +1 SCDXRJ owfrx +2 JYBLD efsarcbynecd +3 KEZXDU xdrwv +4 FWKHOPKMCOQHNWNKUE hsqmgbbuqcl +5 JIVSWMDKQT xixmvtrr +6 LJPTNSNFWZQFJMA adrr +7 SOFS cnuvqhffbsaq +8 WPQCA ehchzvf +9 KMLNOZJKPQPXR xkitzyxa +10 BHHKICQC endtomfgdwd +11 FCGPXIQVKUY dlcgdewhta +12 IOHORDTQKVWC gspqoqm +13 BOAGUWNNYQXNZLGDGW btrwbl +14 SADEUGUUMOQCDRUBE okyxhoachw +15 VMXXRDRYXL ndq +16 UKWAGM ejuukwcibxub +17 MENMEYATDRMYDI jxloghi +18 FMZHLVIHJOU suyoypayulye +19 MUOTEHZ iicfsk +20 GGKBBIPZZRZUC amludfyk +21 RUOWZGIOOOBPPLEQLW hapj +22 ADQHDCNVW txjbmypp +23 HAUXNSPUSGDHI xqmbf +24 XJCVUDJSUYIBYEB wsiqyoygyxy +25 ZEVYPZVJEGEBEO fufts +26 DIXTIGSIE hkchzdfli +27 RJQFNXZTQ svbspkyhse +28 BPPKQTPDDBUO bbqcwi +29 RFXJU jddn +30 GEIQVD aijvwcyau +31 WEWPJVYGEH jxepbpiwuq 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pqydxfsoko +99990 SHHACW ddgvylxzdg +99991 ZNXQLANQT djsxtb +99992 XXCCCLXAWWBZEJZR rfkevfh +99993 PZYKCX zakd +99994 JFLIJ msogcflmji +99995 SJJUJ wgcwim +99996 VYHJIQWW kcmpnaaws +99997 HDMQWLWZJFNK nrl +99998 JHUTTYHIMKKK ftirjechflo +99999 YTIPEGBOCWJAEUOO ysj diff --git "a/semestre 3/structures des donn\303\251es/tme/tme3-5/exo2/Makefile" "b/semestre 3/structures des donn\303\251es/tme/tme3-5/exo2/Makefile" new file mode 100644 index 0000000..28930df --- /dev/null +++ "b/semestre 3/structures des donn\303\251es/tme/tme3-5/exo2/Makefile" @@ -0,0 +1,15 @@ +all: main.o biblioH.o entreeSortieH.o + gcc -o main main.o biblioH.o entreeSortieH.o -lm + +main.o: main.c + gcc -c main.c -lm + +biblioH.o: biblioH.c biblioH.h + gcc -c biblioH.c biblioH.h -lm + +entreeSortieH.o: entreeSortieH.c entreeSortieH.h + gcc -c entreeSortieH.c entreeSortieH.h -lm + +clean: + rm *.o + rm *.gch diff --git "a/semestre 3/structures des donn\303\251es/tme/tme3-5/exo2/biblioH.c" "b/semestre 3/structures des donn\303\251es/tme/tme3-5/exo2/biblioH.c" new file mode 100644 index 0000000..0bd94de --- /dev/null +++ "b/semestre 3/structures des donn\303\251es/tme/tme3-5/exo2/biblioH.c" @@ -0,0 +1,147 @@ +#include "biblioH.h" +#include +#include +#include +#include + +int fonctionClef(char* auteur){ + int sum = 0; + while (*auteur != '\0'){ + sum += (int) *auteur; + auteur++; + } + return sum; +} + +LivreH* creer_livre(int num, char* titre, char* auteur){ + LivreH* l = (LivreH*) malloc(sizeof(LivreH)); + l->num = num; + l->titre = titre; + l->auteur = auteur; + l->next = NULL; + l->clef = fonctionClef(auteur); + return l; +} + +void liberer_livre(LivreH* l){ + if (l->next) liberer_livre(l->next); + free(l); +} + +BiblioH* creer_biblio(int m){ + BiblioH* bib = (BiblioH*) malloc(sizeof(BiblioH)); + bib->m = m; + bib->nE = 0; + bib->T = (LivreH**) malloc(m*sizeof(LivreH)); + return bib; +} + +void liberer_biblio(BiblioH* b){ + for (int i = 0; i < b->m; i++){ + if (b->T[i]) liberer_livre(b->T[i]); + } + free(b); +} + +int fonctionHachage(int cle, int m){ + float a = (sqrt(5)-1)/5; + float ka = cle*a; + return (int) floor(m * (ka-floor(ka))); +} + +void inserer(BiblioH* b,int num,char* titre,char* auteur){ + LivreH* l = creer_livre(num, titre, auteur); + printf("%s\n",l->titre); + int i = fonctionHachage(l->clef, b->m); + b->nE++; + LivreH* target = b->T[i]; + if (target) { + l->next = target; + } + b->T[i] = l; +} + +void afficher_livre(LivreH* l){ + printf("%d %s %s\n", l->num, l->titre, l->auteur); +} + +void afficher_biblio(BiblioH* b){ + for (int i = 0; i < b->m; i++){ + LivreH* l = b->T[i]; + while (l){ + afficher_livre(l); + l = l->next; + } + } +} + +LivreH* rechercher_biblio_num(BiblioH* bib, int num){ + for (int i = 0; i < bib->m; i++){ + LivreH* l = bib->T[i]; + while (l){ + if (l->num == num) return l; + l = l->next; + } + } + return NULL; +} + +LivreH* rechercher_biblio_titre(BiblioH* bib, char* titre){ + for (int i = 0; i < bib->m; i++){ + LivreH* l = bib->T[i]; + while (l){ + if (strcmp(l->titre, titre) == 0) return l; + l = l->next; + } + } + return NULL; +} + +BiblioH* rechercher_biblio_auteur(BiblioH* bib, char* auteur){ + BiblioH* b = creer_biblio(1); // car la clef n'utilise que l'auteur + LivreH* l = bib->T[fonctionHachage(fonctionClef(auteur), bib->m)]; + while (l){ + if (strcmp(l->auteur, auteur) == 0) inserer(b, l->num, l->titre, l->auteur); + l = l->next; + } + return b; +} + +void suppression_livre(BiblioH* bib, int num, char* titre, char* auteur){ + for (int i = 0; i < bib->m; i++){ + LivreH* l = bib->T[i]; + LivreH* prec = NULL; + while (l && l->num != num){ + prec = l; + l = l->next; + } + if (l){ return; + if (strcmp(l->auteur, auteur) != 0 || strcmp(l->titre, titre) != 0) return; + + if (!prec) bib->T[i] = l->next; + else prec->next = l->next; + + liberer_livre(l); + } + } +} + +BiblioH* rechercher_doublons(BiblioH* bib){ + BiblioH* b = creer_biblio(bib->m); + for (int i = 0; i < bib->m; i++){ + LivreH* l1 = bib->T[i]; + LivreH* l2 = bib->T[i]; + while (l1){ + LivreH* l2 = bib->T[i]; + while (l2){ + if (l1->num != l2->num) { + if (strcmp(l1->auteur, l2->auteur) == 0 && strcmp(l1->titre, l2->titre) == 0) + inserer(b, l1->num, l1->titre, l1->auteur); + } + l2 = l2->next; + } + l1 = l1->next; + } + } + return b; +} diff --git "a/semestre 3/structures des donn\303\251es/tme/tme3-5/exo2/biblioH.h" "b/semestre 3/structures des donn\303\251es/tme/tme3-5/exo2/biblioH.h" new file mode 100644 index 0000000..de41819 --- /dev/null +++ "b/semestre 3/structures des donn\303\251es/tme/tme3-5/exo2/biblioH.h" @@ -0,0 +1,45 @@ +#ifndef BIBLIO_H_H +#define BIBLIO_H_H + +typedef struct livreh { + int clef; + int num; + char* titre; + char* auteur; + struct livreh* next; +} LivreH; + +typedef struct table { + int nE; + int m; + LivreH** T; +} BiblioH; + +int fonctionClef(char* auteur); + +LivreH* creer_livre(int num,char* titre,char* auteur); + +void liberer_livre(LivreH* l); + +BiblioH* creer_biblio(int m); + +void liberer_biblio(BiblioH* b); + +int fonctionHachage(int cle, int m); + +void inserer(BiblioH* b,int num,char* titre,char* auteur); + +void afficher_livre(LivreH* l); + +void afficher_biblio(BiblioH* b); + +LivreH* rechercher_biblio_num(BiblioH* bib, int num); + +LivreH* rechercher_biblio_titre(BiblioH* bib, char* titre); + +BiblioH* rechercher_biblio_auteur(BiblioH* bib, char* auteur); + +void suppression_livre(BiblioH* bib, int num, char* titre, char* auteur); + +BiblioH* rechercher_doublons(BiblioH* bib); +#endif // !BIBLIO_H_H diff --git "a/semestre 3/structures des donn\303\251es/tme/tme3-5/exo2/entreeSortieH.c" "b/semestre 3/structures des donn\303\251es/tme/tme3-5/exo2/entreeSortieH.c" new file mode 100644 index 0000000..596f8eb --- /dev/null +++ "b/semestre 3/structures des donn\303\251es/tme/tme3-5/exo2/entreeSortieH.c" @@ -0,0 +1,44 @@ +#include "entreeSortieH.h" +#include +#include +#include + +BiblioH* charger_n_entrees(char* nomfic, int n){ + BiblioH* bib = creer_biblio(n); + FILE* f = fopen(nomfic, "r"); + if (!f) return NULL; + for (int i = 0; i < n; i++){ + char content[256]; + char* tmp = fgets(content, 256, f); + if (!tmp) return NULL; + + int num; + char title[256]; + char author[256]; + if (sscanf(content, "%d %s %s", &num, &title, &author) != 3) return NULL; + inserer(bib, num, title, author); + } + if (fclose(f) != 0) return NULL; + return bib; +} + +void enregistrer_biblio(BiblioH *b, char* nomfic){ + FILE* f = fopen(nomfic, "w"); + if (!f) return; + for (int i = 0; i < b->m; i++){ + LivreH* l = b->T[i]; + while (l){ + int ln1 = strlen(l->titre); + int ln2 = strlen(l->auteur); + int res = fwrite(&(l->num), sizeof(int), 1, f); + if (res != 1) return; + res = fwrite(l->titre, sizeof(char), ln1, f); + if (res != ln1) return; + res = fwrite(l->auteur, sizeof(char), ln2, f); + if (res != ln2) return; + if (fwrite("\n", sizeof(char), 1, f) != 1) return; + l = l->next; + } + if (fclose(f) != 0) printf("erreur lors de la fermeture\n"); + } +} diff --git "a/semestre 3/structures des donn\303\251es/tme/tme3-5/exo2/entreeSortieH.h" "b/semestre 3/structures des donn\303\251es/tme/tme3-5/exo2/entreeSortieH.h" new file mode 100644 index 0000000..7fa0417 --- /dev/null +++ "b/semestre 3/structures des donn\303\251es/tme/tme3-5/exo2/entreeSortieH.h" @@ -0,0 +1,10 @@ +#ifndef ENTREE_SORTIE_H_H +#define ENTREE_SORTIE_H_H +#include "biblioH.h" + +BiblioH* charger_n_entrees(char* nomfic, int n); + +void enregistrer_biblio(BiblioH *b, char* nomfic); + +#endif // !ENTREE_SORTIE_H_H + diff --git "a/semestre 3/structures des donn\303\251es/tme/tme3-5/exo2/main.c" "b/semestre 3/structures des donn\303\251es/tme/tme3-5/exo2/main.c" new file mode 100644 index 0000000..baaebf3 --- /dev/null +++ "b/semestre 3/structures des donn\303\251es/tme/tme3-5/exo2/main.c" @@ -0,0 +1,71 @@ +#include +#include +#include "entreeSortieH.h" +#include "biblioH.h" + +void menu(){ + printf("Entrez l'action à effectuer :\n"); + printf("0. Sortie du programme\n"); + printf("1. Affichage\n"); + printf("2. Insérer ouvrage\n"); + printf("3. Afficher les doublons\n"); +} + +int main(int argc, char** argv){ + if (argc != 3) { + printf("nombre d'argument invalide\n"); + return 1; + } + char* file = argv[1]; + int n = atoi(argv[2]); + BiblioH* bib = charger_n_entrees(file, n); + if (!bib){ + printf("erreur lors de la lecture du fichier\n"); + return 2; + } + printf("tout va bien :D\n"); + int rep; + do { + menu(); + char s[3]; + char* r = fgets(s, 3, stdin); + if (!r){ + printf("erreur lors de la lecture :(\n"); + return 3; + } + s[1] = '\0'; // skipping \n char + rep = atoi(s); + printf("\n"); + switch(rep){ + case 1: + printf("Affichage : \n"); + afficher_biblio(bib); + break; + case 2: + printf("Veuillez ecrire le numero, le titre et l' auteur de l' ouvrage. \n"); + char input[256]; + char* s = fgets(input, 256, stdin); + if (!s){ + printf("Entrée invalide."); + break; + } + int num; + char title[256]; + char author[256]; + if (sscanf(input, "%d %s %s", &num, &title, &author) != 3){ + printf("Entrée invalide."); + break; + } + inserer(bib, num, title, author); + break; + case 3: + BiblioH* db = rechercher_doublons(bib); + afficher_biblio(db); + break; + } + printf("\n"); + } while (rep != 0); + printf("Merci, et au revoir.\n"); + liberer_biblio(bib); + return 0; +} -- cgit v1.2.3