From 7a0eff263c3670cbfda5fe32d1981967c0099840 Mon Sep 17 00:00:00 2001
From: Orestis <orestis.malaspinas@pm.me>
Date: Sun, 8 Dec 2024 19:39:45 +0100
Subject: [PATCH] updated 204
---
slides/cours_10.md | 246 +-----
slides/cours_11.md | 937 +++++++++++++++++++++
slides/figs/Singly-linked-list.svg | 638 ++++++++++++++
slides/figs/fig_empty_queue_insert.png | Bin 0 -> 13624 bytes
slides/figs/fig_non_empty_queue_insert.png | Bin 0 -> 20622 bytes
slides/figs/fig_queue_extract.png | Bin 0 -> 19932 bytes
slides/figs/fig_queue_extract_one.svg | 298 +++++++
slides/figs/fig_queue_representation.png | Bin 0 -> 7251 bytes
slides/figs/sorted_list_example.svg | 218 +++++
slides/figs/sorted_list_insert_any.svg | 623 ++++++++++++++
slides/figs/sorted_list_insert_first.svg | 726 ++++++++++++++++
slides/figs/sorted_list_insert_one.svg | 416 +++++++++
12 files changed, 3857 insertions(+), 245 deletions(-)
create mode 100644 slides/cours_11.md
create mode 100644 slides/figs/Singly-linked-list.svg
create mode 100644 slides/figs/fig_empty_queue_insert.png
create mode 100644 slides/figs/fig_non_empty_queue_insert.png
create mode 100644 slides/figs/fig_queue_extract.png
create mode 100644 slides/figs/fig_queue_extract_one.svg
create mode 100644 slides/figs/fig_queue_representation.png
create mode 100644 slides/figs/sorted_list_example.svg
create mode 100644 slides/figs/sorted_list_insert_any.svg
create mode 100644 slides/figs/sorted_list_insert_first.svg
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diff --git a/slides/cours_10.md b/slides/cours_10.md
index e52cec7..31637d6 100644
--- a/slides/cours_10.md
+++ b/slides/cours_10.md
@@ -460,249 +460,5 @@ void stack_pop(stack *s, int *ret);
. . .
-## Faisons l'implémentation ensemble
-
-# Le tri à deux piles (1/3)
-
-## Cas pratique
-
-{width=70%}
-
-# Le tri à deux piles (2/3)
-
-## Exercice: formaliser l'algorithme
-
-. . .
-
-## Algorithme de tri nécessitant 2 piles (G, D)
-
-Soit `tab` le tableau à trier:
-
-```C
-pour i de 0 à N-1
- tant que (tab[i] > que le sommet de G)
- dépiler G dans D
- tant que (tab[i] < que le sommet de D)
- dépiler de D dans G
- empiler tab[i] sur G
-dépiler tout D dans G
-tab est trié dans G
-```
-
-# Le tri à deux piles (3/3)
-
-## Exercice: trier le tableau `[2, 10, 5, 20, 15]`
-
-```C
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-```
-
-# La calculatrice (1/8)
-
-## Vocabulaire
-
-```C
-2 + 3 = 2 3 +,
-```
-
-`2` et `3` sont les *opérandes*, `+` l'*opérateur*.
-
-. . .
-
-## La notation infixe
-
-```C
-2 * (3 + 2) - 4 = 6.
-```
-
-## La notation postfixe
-
-```C
-2 3 2 + * 4 - = 6.
-```
-
-## Exercice: écrire `2 * 3 * 4 + 2` en notation `postfixe`
-
-. . .
-
-```C
-2 3 4 * * 2 + = (2 * (3 * 4)) + 2.
-```
-
-# La calculatrice (2/8)
-
-## De infixe à post-fixe
-
-* Une *pile* est utilisée pour stocker *opérateurs* et *parenthèses*.
-* Les opérateurs on des *priorités* différentes.
-
-```C
-^ : priorité 3
-* / : priorité 2
-+ - : priorité 1
-( ) : priorité 0 // pas un opérateur mais bon
-```
-
-
-# La calculatrice (3/8)
-
-## De infixe à post-fixe: algorithme
-
-* On lit l'expression infixe de gauche à droite.
-
-* On examine le prochain caractère de l'expression infixe.
- * Si opérande, le placer dans l'expression du résultat.
- * Si parenthèse le mettre dans la pile (priorité 0).
- * Si opérateur, comparer sa priorité avec celui du sommet de la pile:
- * Si sa priorité est plus élevée, empiler.
- * Sinon dépiler l'opérateur de la pile dans l'expression du résultat et
- recommencer jusqu'à apparition d'un opérateur de priorité plus faible
- au sommet de la pile (ou pile vide).
- * Si parenthèse fermée, dépiler les opérateurs du sommet de la pile et les
- placer dans l'expression du résultat, jusqu'à ce qu'une parenthèse
- ouverte apparaisse au sommet, dépiler également la parenthèse.
- * Si il n'y a pas de caractère dans l'expression dépiler tous les
- opérateurs dans le résultat.
-
-# La calculatrice (4/8)
-
-## De infixe à post-fixe: exemple
-
-```C
-Infixe Postfixe Pile Priorité
-((A*B)/D-F)/(G+H) Vide Vide Néant
- (A*B)/D-F)/(G+H) Vide ( 0
- A*B)/D-F)/(G+H) Vide (( 0
- *B)/D-F)/(G+H) A (( 0
- B)/D-F)/(G+H) A ((* 2
- )/D-F)/(G+H) AB ((* 2
- /D-F)/(G+H) AB* ( 0
- D-F)/(G+H) AB* (/ 2
- -F)/(G+H) AB*D (/ 2
- F)/(G+H) AB*D/ (- 1
- )/(G+H) AB*D/F (- 1
- /(G+H) AB*D/F- Vide Néant
-```
-
-# La calculatrice (5/8)
-
-## De infixe à post-fixe: exemple
-
-```C
-Infixe Postfixe Pile Priorité
-((A*B)/D-F)/(G+H) Vide Vide Néant
---------------------------------------------------------
- /(G+H) AB*D/F- Vide Néant
- (G+H) AB*D/F- / 2
- G+H) AB*D/F- /( 0
- +H) AB*D/F-G /( 0
- H) AB*D/F-G /(+ 1
- ) AB*D/F-GH /(+ 1
- Vide AB*D/F-GH+ / 2
- Vide AB*D/F-GH+/ Vide Néant
-```
-
-# La calculatrice (6/8)
-
-\footnotesize
-
-## Exercice: écrire le code et le poster sur matrix
-
-* Quelle est la signature de la fonction?
-
-. . .
-
-* Une sorte de corrigé:
-
-```C
-char *infix_to_postfix(char* infix) { // init and alloc stack and postfix
- for (size_t i = 0; i < strlen(infix); ++i) {
- if (is_operand(infix[i])) {
- // we just add operands in the new postfix string
- } else if (infix[i] == '(') {
- // we push opening parenthesis into the stack
- } else if (infix[i] == ')') {
- // we pop everything into the postfix
- } else if (is_operator(infix[i])) {
- // this is an operator. We add it to the postfix based
- // on the priority of what is already in the stack and push it
- }
- }
- // pop all the operators from the s at the end of postfix
- // and end the postfix with `\0`
- return postfix;
-}
-```
-
-
-# La calculatrice (7/8)
-
-## Évaluation d'expression postfixe: algorithme
-
-* Chaque *opérateur* porte sur les deux opérandes qui le précèdent.
-* Le *résultat d'une opération* est un nouvel *opérande* qui est remis au
- sommet de la pile.
-
-## Exemple
-
-```C
-2 3 4 + * 5 - = ?
-```
-
-* On parcours de gauche à droite:
-
-```C
-Caractère lu Pile opérandes
- 2 2
- 3 2, 3
- 4 2, 3, 4
- + 2, (3 + 4)
- * 2 * 7
- 5 14, 5
- - 14 - 5 = 9
-```
-
-# La calculatrice (8/8)
-
-## Évaluation d'expression postfixe: algorithme
-
-1. La valeur d'un opérande est *toujours* empilée.
-2. L'opérateur s'applique *toujours* au 2 opérandes au sommet.
-3. Le résultat est remis au sommet.
-
-## Exercice: écrire l'algorithme en C (et poster sur matrix)
-
-. . .
-
-```C
-double evaluate(char *postfix) { // init stack
- for (size_t i = 0; i < strlen(postfix); ++i) {
- if (is_operand(postfix[i])) {
- stack_push(&s, postfix[i]);
- } else if (is_operator(postfix[i])) {
- double rhs = stack_pop(&s);
- double lhs = stack_pop(&s);
- stack_push(&s, op(postfix[i], lhs, rhs));
- }
- }
- return stack_pop(&s);
-}
-```
-
-
+## Faisons s'implémentation ensemble
diff --git a/slides/cours_11.md b/slides/cours_11.md
new file mode 100644
index 0000000..9694de9
--- /dev/null
+++ b/slides/cours_11.md
@@ -0,0 +1,937 @@
+---
+title: "Calculatrices, liste chaînée, et files d'attente"
+date: "2024-12-09"
+---
+
+# Rappel: les piles
+
+## Qu'est-ce donc?
+
+. . .
+
+* tructure de données abstraite de type LIFO
+
+## Quelles fonctionnalités?
+
+. . .
+
+1. Empiler (push): ajouter un élément sur la pile.
+2. Dépiler (pop): retirer l'élément du sommet de la pile et le retourner.
+3. Pile vide? (is_empty?).
+
+# Le tri à deux piles
+
+\Huge Le tri à deux piles
+
+# Le tri à deux piles (1/3)
+
+## Cas pratique
+
+{width=70%}
+
+# Le tri à deux piles (2/3)
+
+## Exercice: formaliser l'algorithme
+
+. . .
+
+## Algorithme de tri nécessitant 2 piles (G, D)
+
+Soit `tab` le tableau à trier:
+
+```C
+pour i de 0 à N-1
+ tant que (tab[i] > que le sommet de G)
+ dépiler G dans D
+ tant que (tab[i] < que le sommet de D)
+ dépiler de D dans G
+ empiler tab[i] sur G
+dépiler tout D dans G
+tab est trié dans G
+```
+
+# Le tri à deux piles (3/3)
+
+## Exercice: trier le tableau `[2, 10, 5, 20, 15]`
+
+```C
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+```
+
+# La Calculatrice
+
+\Huge La Calculatrice
+
+# La calculatrice (1/8)
+
+## Vocabulaire
+
+```C
+2 + 3 = 2 3 +,
+```
+
+`2` et `3` sont les *opérandes*, `+` l'*opérateur*.
+
+. . .
+
+## La notation infixe
+
+```C
+2 * (3 + 2) - 4 = 6.
+```
+
+## La notation postfixe
+
+```C
+2 3 2 + * 4 - = 6.
+```
+
+## Exercice: écrire `2 * 3 * 4 + 2` en notation `postfixe`
+
+. . .
+
+```C
+2 3 4 * * 2 + = (2 * (3 * 4)) + 2.
+```
+
+# La calculatrice (2/8)
+
+## De infixe à post-fixe
+
+* Une *pile* est utilisée pour stocker *opérateurs* et *parenthèses*.
+* Les opérateurs on des *priorités* différentes.
+
+```C
+^ : priorité 3
+* / : priorité 2
++ - : priorité 1
+( ) : priorité 0 // pas un opérateur mais bon
+```
+
+
+# La calculatrice (3/8)
+
+## De infixe à post-fixe: algorithme
+
+* On lit l'expression infixe de gauche à droite.
+
+* On examine le prochain caractère de l'expression infixe.
+ * Si opérande, le placer dans l'expression du résultat.
+ * Si parenthèse le mettre dans la pile (priorité 0).
+ * Si opérateur, comparer sa priorité avec celui du sommet de la pile:
+ * Si sa priorité est plus élevée, empiler.
+ * Sinon dépiler l'opérateur de la pile dans l'expression du résultat et
+ recommencer jusqu'à apparition d'un opérateur de priorité plus faible
+ au sommet de la pile (ou pile vide).
+ * Si parenthèse fermée, dépiler les opérateurs du sommet de la pile et les
+ placer dans l'expression du résultat, jusqu'à ce qu'une parenthèse
+ ouverte apparaisse au sommet, dépiler également la parenthèse.
+ * Si il n'y a pas de caractère dans l'expression dépiler tous les
+ opérateurs dans le résultat.
+
+# La calculatrice (4/8)
+
+## De infixe à post-fixe: exemple
+
+```C
+Infixe Postfixe Pile Priorité
+((A*B)/D-F)/(G+H) Vide Vide Néant
+ (A*B)/D-F)/(G+H) Vide ( 0
+ A*B)/D-F)/(G+H) Vide (( 0
+ *B)/D-F)/(G+H) A (( 0
+ B)/D-F)/(G+H) A ((* 2
+ )/D-F)/(G+H) AB ((* 2
+ /D-F)/(G+H) AB* ( 0
+ D-F)/(G+H) AB* (/ 2
+ -F)/(G+H) AB*D (/ 2
+ F)/(G+H) AB*D/ (- 1
+ )/(G+H) AB*D/F (- 1
+ /(G+H) AB*D/F- Vide Néant
+```
+
+# La calculatrice (5/8)
+
+## De infixe à post-fixe: exemple
+
+```C
+Infixe Postfixe Pile Priorité
+((A*B)/D-F)/(G+H) Vide Vide Néant
+--------------------------------------------------------
+ /(G+H) AB*D/F- Vide Néant
+ (G+H) AB*D/F- / 2
+ G+H) AB*D/F- /( 0
+ +H) AB*D/F-G /( 0
+ H) AB*D/F-G /(+ 1
+ ) AB*D/F-GH /(+ 1
+ Vide AB*D/F-GH+ / 2
+ Vide AB*D/F-GH+/ Vide Néant
+```
+
+# La calculatrice (6/8)
+
+\footnotesize
+
+## Exercice: écrire le code et le poster sur matrix
+
+* Quelle est la signature de la fonction?
+
+. . .
+
+* Une sorte de corrigé:
+
+```C
+char *infix_to_postfix(char* infix) { // init and alloc stack and postfix
+ for (size_t i = 0; i < strlen(infix); ++i) {
+ if (is_operand(infix[i])) {
+ // we just add operands in the new postfix string
+ } else if (infix[i] == '(') {
+ // we push opening parenthesis into the stack
+ } else if (infix[i] == ')') {
+ // we pop everything into the postfix
+ } else if (is_operator(infix[i])) {
+ // this is an operator. We add it to the postfix based
+ // on the priority of what is already in the stack and push it
+ }
+ }
+ // pop all the operators from the s at the end of postfix
+ // and end the postfix with `\0`
+ return postfix;
+}
+```
+
+
+# La calculatrice (7/8)
+
+## Évaluation d'expression postfixe: algorithme
+
+* Chaque *opérateur* porte sur les deux opérandes qui le précèdent.
+* Le *résultat d'une opération* est un nouvel *opérande* qui est remis au
+ sommet de la pile.
+
+## Exemple
+
+```C
+2 3 4 + * 5 - = ?
+```
+
+* On parcours de gauche à droite:
+
+```C
+Caractère lu Pile opérandes
+ 2 2
+ 3 2, 3
+ 4 2, 3, 4
+ + 2, (3 + 4)
+ * 2 * 7
+ 5 14, 5
+ - 14 - 5 = 9
+```
+
+# La calculatrice (8/8)
+
+## Évaluation d'expression postfixe: algorithme
+
+1. La valeur d'un opérande est *toujours* empilée.
+2. L'opérateur s'applique *toujours* au 2 opérandes au sommet.
+3. Le résultat est remis au sommet.
+
+## Exercice: écrire l'algorithme en C (et poster sur matrix)
+
+. . .
+
+```C
+double evaluate(char *postfix) { // init stack
+ for (size_t i = 0; i < strlen(postfix); ++i) {
+ if (is_operand(postfix[i])) {
+ stack_push(&s, postfix[i]);
+ } else if (is_operator(postfix[i])) {
+ double rhs = stack_pop(&s);
+ double lhs = stack_pop(&s);
+ stack_push(&s, op(postfix[i], lhs, rhs));
+ }
+ }
+ return stack_pop(&s);
+}
+```
+
+# Liste chaînée et pile
+
+\Huge Liste chaînée et pile
+
+# La liste chaînée et pile (1/6)
+
+## Structure de données
+
+* Chaque élément de la liste contient:
+ 1. une valeur,
+ 2. un pointeur vers le prochain élément.
+* La pile est un pointeur vers le premier élément.
+
+{width=80%}
+
+# La liste chaînée et pile (2/6)
+
+## Une pile-liste-chaînée
+
+```C
+typedef struct _element {
+ int data;
+ struct _element *next;
+} element;
+typedef element* stack;
+```
+
+## Fonctionnalités?
+
+. . .
+
+```C
+void stack_create(stack *s); // *s = NULL;
+void stack_destroy(stack *s);
+void stack_push(stack *s, int val);
+void stack_pop(stack *s, int *val);
+void stack_peek(stack s, int *val);
+bool stack_is_empty(stack s); // reutrn NULL == stack;
+```
+
+# La liste chaînée et pile (3/6)
+
+## Empiler? (faire un dessin)
+
+. . .
+
+```C
+
+
+
+
+
+
+
+```
+
+## Empiler? (le code ensemble)
+
+. . .
+
+```C
+void stack_push(stack *s, int val) {
+ element *elem = malloc(sizeof(*elem));
+ elem->data = val;
+ elem->next = *s;
+ *s = elem;
+}
+```
+
+# La liste chaînée et pile (4/6)
+
+## Jeter un oeil? (faire un dessin)
+
+. . .
+
+```C
+
+
+
+
+
+
+
+```
+
+## Jeter un oeil? (le code ensemble)
+
+. . .
+
+```C
+void stack_peek(stack s, int *val) {
+ *val = s->data;
+}
+```
+
+# La liste chaînée et pile (5/6)
+
+## Dépiler? (faire un dessin)
+
+. . .
+
+```C
+
+
+
+
+
+
+
+```
+
+## Dépiler? (le code ensemble)
+
+. . .
+
+```C
+void stack_pop(stack *s, int *val) {
+ stack_peek(*s, val);
+ element *tmp = *s;
+ *s = (*s)->next;
+ free(tmp);
+}
+```
+
+# La liste chaînée et pile (6/6)
+
+## Détruire? (faire un dessin)
+
+. . .
+
+```C
+
+
+
+
+
+
+
+```
+
+## Détruire? (le code ensemble)
+
+. . .
+
+```C
+void stack_destroy(stack *s) {
+ while (!stack_is_empty(*s)) {
+ int val;
+ stack_pop(s, &val);
+ }
+}
+```
+
+# La file d'attente
+
+\Huge La file d'attente
+
+# La file d'attente (1/2)
+
+* Structure de données abstraite permettant le stockage d'éléments.
+* *FIFO*: First In First Out, ou première entrée première sortie.
+* Analogue de la vie "réelle"":
+ * File à un guichet,
+ * Serveur d'impressions,
+ * Mémoire tampon, ...
+
+## Fonctionnalités
+
+ . . .
+
+* Enfiler: ajouter un élément à la fin de la file.
+* Défiler: extraire un élément au devant de la file.
+* Tester si la file est vide.
+
+. . .
+
+* Lire l'élément de la fin de la file.
+* Lire l'élément du devant de la file.
+* Créer une liste vide.
+* Détruire une liste vide.
+
+# La file d'attente (2/2)
+
+\footnotesize
+
+## Implémentation possible
+
+* La structure file, contient un pointeur vers la tête et un vers le début de la file.
+* Entre les deux, les éléments sont stockés dans une liste chaînée.
+
+{width=80%}
+
+## Structure de données en C?
+
+. . .
+
+```C
+typedef struct _element { // Elément de liste
+ int data;
+ struct _element* next;
+} element;
+typedef struct _queue { // File d'attente:
+ element* head; // tête de file d'attente
+ element* tail; // queue de file d'attente
+} queue;
+```
+
+# Fonctionnalités d'une file d'attente
+
+## Creation et consultations
+
+. . .
+
+```C
+void queue_init(queue *fa); // head = tail = NULL
+bool queue_is_empty(queue fa); // fa.head == fa.tail == NULL
+int queue_tail(queue fa); // return fa.tail->data
+int queue_head(queue fa); // return fa.head->data
+```
+
+## Manipulations et destruction
+
+. . .
+
+```C
+void queue_enqueue(queue *fa, int val);
+// adds an element before the tail
+int queue_dequeue(queue *fa);
+// removes the head and returns stored value
+void queue_destroy(queue *fa);
+// dequeues everything into oblivion
+```
+
+# Enfilage
+
+## Deux cas différents:
+
+1. La file est vide (faire un dessin):
+
+. . .
+
+{width=40%}
+
+2. La file n'est pas vide (faire un dessin):
+
+. . .
+
+{width=70%}
+
+# Enfilage
+
+## Live (implémentation)
+
+. . .
+
+```C
+void queue_enqueue(queue *fa, int val) {
+ element* elmt = malloc(sizeof(*elmt));
+ elmt->data = val;
+ elmt->next = NULL;
+ if (queue_is_empty(*fa)) {
+ fa->head = elmt;
+ fa->tail = elmt;
+ } else {
+ fa->tail->next = elmt;
+ fa->tail = elmt;
+ }
+}
+```
+
+# Défilage
+
+## Trois cas différents
+
+1. La file a plus d'un élément (faire un dessin):
+
+. . .
+
+{width=80%}
+
+2. La file un seul élément (faire un dessin):
+
+. . .
+
+{width=25%}
+
+
+3. La file est vide (problème)
+
+# Défilage
+
+## Live (implémentation)
+
+. . .
+
+```C
+int queue_dequeue(queue *fa) {
+ element* elmt = fa->head;
+ int val = elmt->data;
+ fa->head = fa->head->next;
+ free(elmt);
+ if (NULL == fa->head) {
+ fa->tail = NULL;
+ }
+ return val;
+}
+```
+
+. . .
+
+## Problème avec cette implémentation?
+
+# Destruction
+
+## Comment on faire la désallocation?
+
+. . .
+
+On défile jusqu'à ce que la file soit vide!
+
+# Complexité
+
+## Quelle sont les complexité de:
+
+* Enfiler?
+
+. . .
+
+* Défiler?
+
+. . .
+
+* Détruire?
+
+. . .
+
+* Est vide?
+
+
+# Implémentation alternative
+
+## Comment implémenter la file autrement?
+
+. . .
+
+* Données stockées dans un tableau;
+* Tableau de taille connue à la compilation ou pas (réallouable);
+* `tail` seraient les indices du tableau;
+* `capacity` seraient la capacité maximale;
+* On *enfile* "au bout" du tableau, au défile au début (indice `0`).
+
+. . .
+
+## Structure de données
+
+```C
+typedef struct _queue {
+ int *data;
+ int tail, capacity;
+} queue;
+```
+
+# File basée sur un tableau
+
+* Initialisation?
+
+. . .
+
+```C
+
+
+
+
+```
+
+* Est vide?
+
+. . .
+
+```C
+
+
+
+
+```
+
+
+* Enfiler?
+
+. . .
+
+```C
+
+
+
+
+```
+
+* Défiler?
+
+. . .
+
+```C
+
+
+
+
+```
+
+# Complexité
+
+## Quelle sont les complexités de:
+
+* Initialisation?
+
+. . .
+
+```C
+
+
+
+
+```
+
+* Est vide?
+
+. . .
+
+```C
+
+```
+
+
+* Enfiler?
+
+. . .
+
+```C
+
+
+
+
+```
+
+* Défiler?
+
+. . .
+
+```C
+
+
+
+
+```
+
+# Une file plus efficace
+
+## Comment faire une file plus efficace?
+
+* Où est-ce que ça coince?
+
+. . .
+
+* Défiler est particulièrement lent $\mathcal{O}(N)$.
+
+## Solution?
+
+. . .
+
+* Utiliser un indice séparé pour `head`.
+
+```C
+typedef struct _queue {
+ int *data;
+ int head, tail, capacity;
+} queue;
+```
+
+# Une file plus efficace (implémentation)
+
+## Enfilage
+
+\footnotesize
+
+```C
+void queue_enqueue(queue *fa, int val) {
+ if ((fa->head == 0 && fa->tail == fa->capacity-1) ||
+ (fa->tail == (fa->head-1) % (fa->capacity-1))) {
+ return; // queue is full
+ }
+ if (fa->head == -1) { // queue was empty
+ fa->head = fa->tail = 0;
+ fa->data[fa->tail] = val;
+ } else if (fa->tail == fa->capacity-1 && fa->head != 0) {
+ // the tail reached the end of the array
+ fa->tail = 0;
+ fa->data[fa->tail] = val;
+ } else {
+ // nothing particular
+ fa->tail += 1;
+ fa->data[fa->tail] = val;
+ }
+}
+```
+
+# Une file plus efficace (implémentation)
+
+## Défilage
+
+```C
+void queue_dequeue(queue *fa, int *val) {
+ if (queue_is_empty(*fa)) {
+ return; // queue is empty
+ }
+ *val = fa->data[fa->head];
+ if (fa->head == fa->tail) { // that was the last element
+ fa->head = fa->tail = -1;
+ } else if (fa->head == fa->capacity-1) {
+ fa->head = 0;
+ } else {
+ fa->head += 1;
+ }
+}
+```
+
+
+# Les listes triées
+
+Une liste chaînée triée est:
+
+* une liste chaînée
+* dont les éléments sont insérés dans l'ordre.
+
+
+
+. . .
+
+* L'insertion est faite telle que l'ordre est maintenu.
+
+## Quelle structure de données?
+
+```C
+
+
+
+
+
+```
+
+# Les listes triées
+
+## Quel but?
+
+* Permet de retrouver rapidement un élément.
+* Utile pour la recherche de plus court chemin dans des graphes.
+* Ordonnancement de processus par degré de priorité.
+
+## Comment?
+
+* Les implémentations les plus efficaces se basent sur les tableaux.
+* Possibles aussi avec des listes chaînées.
+
+# Les listes triées
+
+\footnotesize
+
+## Quelle structure de données dans notre cas?
+
+
+Une liste chaînée bien sûr (oui c'est pour vous entraîner)!
+
+```C
+typedef struct _element { // chaque élément
+ int data;
+ struct _element *next;
+} element;
+typedef element* sorted_list; // la liste
+```
+
+## Fonctionnalités
+
+```C
+// insertion de val
+sorted_list sorted_list_push(sorted_list list, int val);
+// la liste est-elle vide?
+bool is_empty(sorted_list list); // list == NULL
+// extraction de val (il disparaît)
+sorted_list sorted_list_extract(sorted_list list, int val);
+ // rechercher un élément et le retourner
+element* sorted_list_search(sorted_list list, int val);
+```
+
+# L'insertion
+
+## Trois cas
+
+1. La liste est vide.
+
+. . .
+
+{width=30%}
+
+. . .
+
+```C
+sorted_list sorted_list_push(sorted_list list, int val) {
+ if (sorted_list_is_empty(list)) {
+ list = malloc(sizeof(*list));
+ list->data = val;
+ list->next = NULL;
+ return list;
+ }
+}
+```
+
+# L'insertion
+
+2. L'insertion se fait en première position.
+
+. . .
+
+{width=80%}
+
+. . .
+
+```C
+sorted_list sorted_list_push(sorted_list list, int val) {
+ if (list->data >= val) {
+ element *tmp = malloc(sizeof(*tmp));
+ tmp->data = val;
+ tmp->next = list;
+ list = tmp;
+ return list;
+ }
+}
+```
+
+# L'insertion
+
+3. L'insertion se fait sur une autre position que la première.
+
+. . .
+
+{width=70%}
+
+. . .
+
+\footnotesize
+
+```C
+sorted_list sorted_list_push(sorted_list list, int val) {
+ element *tmp = malloc(sizeof(*tmp));
+ tmp->data = val;
+ element *crt = list;
+ while (NULL != crt->next && val > crt->next->data) {
+ crt = crt->next;
+ }
+ tmp->next = crt->next;
+ crt->next = tmp;
+ return list;
+}
+```
+
+
diff --git a/slides/figs/Singly-linked-list.svg b/slides/figs/Singly-linked-list.svg
new file mode 100644
index 0000000..dae4ee1
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--
GitLab