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Verified Commit c58817fb authored by orestis.malaspin's avatar orestis.malaspin
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mostly formating and added image

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slides/cours_16.md
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...@@ -70,8 +70,8 @@ ajout(arbre, clé) ...@@ -70,8 +70,8 @@ ajout(arbre, clé)
tree_t position(tree_t tree, key_t key) { tree_t position(tree_t tree, key_t key) {
tree_t current = tree; tree_t current = tree;
if (NULL != current) { if (NULL != current) {
tree_t subtree = key > current->key ? current->right : tree_t subtree =
current->left; key > current->key ? current->right : current->left;
while (key != current->key && NULL != subtree) { while (key != current->key && NULL != subtree) {
current = subtree; current = subtree;
subtree = key > current->key ? current->right : subtree = key > current->key ? current->right :
...@@ -95,7 +95,7 @@ tree_t position(tree_t tree, key_t key) { ...@@ -95,7 +95,7 @@ tree_t position(tree_t tree, key_t key) {
```C ```C
tree_t add_key(tree_t *tree, key_t key) { tree_t add_key(tree_t *tree, key_t key) {
node_t *new_node = calloc(1, sizeof(*new_node)); // nouveauté! node_t *new_node = calloc(1, sizeof(*new_node));
new_node->key = key; new_node->key = key;
if (NULL == *tree) { if (NULL == *tree) {
*tree = new_node; *tree = new_node;
...@@ -115,10 +115,115 @@ tree_t add_key(tree_t *tree, key_t key) { ...@@ -115,10 +115,115 @@ tree_t add_key(tree_t *tree, key_t key) {
} }
``` ```
# La suppression de clé # La version PK (1/N)
```C
typedef struct _node {
int info;
struct _node *left, *right;
} node;
typedef node *tree;
void parcours_infixe(tree arbre, int n){
if(arbre!=NULL){
parcours_infixe(arbre->left, n+1);
for(int i=0; i<n; i++){
printf(" ");
}
printf("%d\n", arbre->info);
parcours_infixe(arbre->right, n+1);
}
}
```
# La version PK (2/N)
```C
tree recherche(int cle, tree arbre){
while(arbre != NULL){
if(arbre->info == cle) return arbre;
if(arbre->info > cle){
arbre = arbre->left;
}else if(arbre->info < cle){
arbre = arbre->right;
}
}
return NULL;
}
```
# La version PK (3/N)
\footnotesize
```C
node* parent_insertion(int donnee, tree arbre){
if(arbre != NULL){
node* suivant = NULL;
if(arbre->info > donnee){
suivant = arbre->left;
} else {
suivant = arbre->right;
}
while(suivant != NULL && arbre->info != donnee){
arbre = suivant;
if(arbre->info > donnee){
suivant = arbre->left;
} else {
suivant = arbre->right;
}
}
}
return arbre;
}
```
# La version PK (4/N)
\footnotesize
```C
node* nouveau_noeud(int donnee){
node* new_node = malloc(sizeof(node));
new_node->info = donnee;
new_node->left = NULL;
new_node->right = NULL;
return new_node;
}
tree insertion(int donnee, tree arbre){
if(arbre == NULL){
arbre = nouveau_noeud(donnee);
} else {
node* parent = parent_insertion(donnee, arbre);
if(donnee > parent->info){
parent->right = nouveau_noeud(donnee);
} else if(donnee < parent->info) {
parent->left = nouveau_noeud(donnee);
}
}
return arbre;
}
```
# La version PK (5/N)
```C
int main(){
tree arbre = NULL;
arbre = insertion(2, arbre);
arbre = insertion(1, arbre);
arbre = insertion(8, arbre);
arbre = insertion(10, arbre);
arbre = insertion(5, arbre);
parcours_infixe(arbre, 0);
}s
```
# La suppression de clé
. . .
::: columns ::: columns
...@@ -132,7 +237,7 @@ tree_t add_key(tree_t *tree, key_t key) { ...@@ -132,7 +237,7 @@ tree_t add_key(tree_t *tree, key_t key) {
## Une feuille (le 19 p.ex.). ## Une feuille (le 19 p.ex.).
```{.mermaid format=pdf width=400 loc=figs/} ```{.mermaid format=pdf width=150 loc=figs/}
flowchart TB; flowchart TB;
10-->20; 10-->20;
10-->5 10-->5
...@@ -259,6 +364,8 @@ arbre parent(arbre, sous_arbre) ...@@ -259,6 +364,8 @@ arbre parent(arbre, sous_arbre)
# Le pseudo-code de la suppression # Le pseudo-code de la suppression
\footnotesize
## Pour un seul enfant (5min -> matrix) ## Pour un seul enfant (5min -> matrix)
. . . . . .
...@@ -274,7 +381,7 @@ arbre suppression(arbre, clé) ...@@ -274,7 +381,7 @@ arbre suppression(arbre, clé)
sinon sinon
gauche(parent) = droite(sous_arbre) gauche(parent) = droite(sous_arbre)
sinon sinon
si droite(parent) == sous_arbre si droite(parent) == sous_arbreou est_
droite(parent) = gauche(sous_arbre) droite(parent) = gauche(sous_arbre)
sinon sinon
gauche(parent) = gauche(sous_arbre) gauche(parent) = gauche(sous_arbre)
...@@ -983,7 +1090,7 @@ graph TD; ...@@ -983,7 +1090,7 @@ graph TD;
* Échanger la racine, `7` (`max` de l'arbre) avec `2`. * Échanger la racine, `7` (`max` de l'arbre) avec `2`.
* Traiter la racine. * Traiter la racine.
```{.mermaid format=pdf width=400 loc=figs/} ```{.mermaid format=pdf width=150 loc=figs/}
graph TD; graph TD;
id0((2))-->id1((6)); id0((2))-->id1((6));
id0-->id2((5)); id0-->id2((5));
...@@ -1000,7 +1107,7 @@ graph TD; ...@@ -1000,7 +1107,7 @@ graph TD;
* `2 <=> max(2, 6, 5)`. * `2 <=> max(2, 6, 5)`.
* `2 <=> max(2, 1, 4)`. * `2 <=> max(2, 1, 4)`.
```{.mermaid format=pdf width=400 loc=figs/} ```{.mermaid format=pdf width=150 loc=figs/}
graph TD; graph TD;
id0((6))-->id1((4)); id0((6))-->id1((4));
id0-->id2((5)); id0-->id2((5));
...@@ -1031,7 +1138,7 @@ graph TD; ...@@ -1031,7 +1138,7 @@ graph TD;
* Échanger la racine, `6` (`max` de l'arbre) avec `2`. * Échanger la racine, `6` (`max` de l'arbre) avec `2`.
* Traiter la racine. * Traiter la racine.
```{.mermaid format=pdf width=400 loc=figs/} ```{.mermaid format=pdf width=150 loc=figs/}
graph TD; graph TD;
id0((2))-->id1((4)); id0((2))-->id1((4));
id0-->id2((5)); id0-->id2((5));
......
slides/figs/heap_tree.svg 0 → 100644
+ 498
− 0
View file @ c58817fb
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