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Diffstat (limited to 'sem_5/HLIN501_Graphes/TP-DEVOIRTP/TP2')
| -rw-r--r-- | sem_5/HLIN501_Graphes/TP-DEVOIRTP/TP2/a.out | bin | 0 -> 18964 bytes | |||
| -rw-r--r-- | sem_5/HLIN501_Graphes/TP-DEVOIRTP/TP2/ex2arbre.ps | 541 | ||||
| -rw-r--r-- | sem_5/HLIN501_Graphes/TP-DEVOIRTP/TP2/ex2graphe.ps | 7385 | ||||
| -rw-r--r-- | sem_5/HLIN501_Graphes/TP-DEVOIRTP/TP2/ex3arbre.ps | 901 | ||||
| -rw-r--r-- | sem_5/HLIN501_Graphes/TP-DEVOIRTP/TP2/ex3graphe.ps | 20305 | ||||
| -rw-r--r-- | sem_5/HLIN501_Graphes/TP-DEVOIRTP/TP2/tp2 | bin | 0 -> 18964 bytes | |||
| -rw-r--r-- | sem_5/HLIN501_Graphes/TP-DEVOIRTP/TP2/tp2.cc | 189 | ||||
| -rw-r--r-- | sem_5/HLIN501_Graphes/TP-DEVOIRTP/TP2/tribulle.cc | 189 |
8 files changed, 29510 insertions, 0 deletions
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lineto +stroke + +509 30 moveto +52 762 lineto +stroke + +509 30 moveto +66 776 lineto +stroke + +41 731 moveto +556 54 lineto +stroke + +556 54 moveto +69 775 lineto +stroke + +556 54 moveto +52 762 lineto +stroke + +556 54 moveto +66 776 lineto +stroke + +41 731 moveto +544 22 lineto +stroke + +544 22 moveto +69 775 lineto +stroke + +544 22 moveto +52 762 lineto +stroke + +544 22 moveto +66 776 lineto +stroke + +showpage diff --git a/sem_5/HLIN501_Graphes/TP-DEVOIRTP/TP2/tp2 b/sem_5/HLIN501_Graphes/TP-DEVOIRTP/TP2/tp2 Binary files differnew file mode 100644 index 0000000..0742932 --- /dev/null +++ b/sem_5/HLIN501_Graphes/TP-DEVOIRTP/TP2/tp2 diff --git a/sem_5/HLIN501_Graphes/TP-DEVOIRTP/TP2/tp2.cc b/sem_5/HLIN501_Graphes/TP-DEVOIRTP/TP2/tp2.cc new file mode 100644 index 0000000..e598127 --- /dev/null +++ b/sem_5/HLIN501_Graphes/TP-DEVOIRTP/TP2/tp2.cc @@ -0,0 +1,189 @@ +#include <cstdlib> +#include <iostream> +#include <vector> +#include <fstream> +#include <cmath> + +typedef struct coord{int abs; int ord;} coord; +void pointRandom(int n, coord point[]); +void distances(int n, int m, coord point[], int edge[][3]); +void tri(int m, int edge[][3]); +void affichageGraphique(int n, int m, coord point[], int arbre[][2], const char * filename); +void kruskal (int n, int edge[][3], int arbre[][2]); +void fusion(int tableau[][3],int deb1,int fin1,int fin2); +void tri_fusion(int tableau[][3],int longueur); +void tri_fusion_bis(int tableau[][3],int deb,int fin); +using namespace std; + +int +main() +{ + int n; //Le nombre de points. + cout << "Entrer le nombre de points: "; + cin >> n; + int m=n*(n-1)/2; // Le nombre de paires de points. + coord point[n]; // Les coordonnees des points dans le plan. + int edge[m][3]; // Les paires de points et le carre de leur longueur. + int arbre[n-1][2]; // Les aretes de l'arbre de Kruskal. + pointRandom(n,point); + distances(n,m,point,edge); + tri_fusion(edge,m); + // for (int i =0; i < m; i ++){ + // cout << "point "<< edge[i][0]<<":"<<edge[i][1]<<" coords : ("<< point[edge[i][0]].abs<<";"<<point[edge[i][0]].ord <<") ; ("<<point[edge[i][1]].abs<<" ; "<<point[edge[i][1]].ord<<") norme : "<<edge[i][2]<< endl; + // } + int edge2[m][2]; + for(int i =0; i < m; i ++){ + edge2[i][0]=edge[i][0]; + edge2[i][1]=edge[i][1]; + } + affichageGraphique(n,m, point,edge2, "graphe.ps"); + kruskal(n,edge,arbre); + cout<<"Kruskal OK"<<endl; + affichageGraphique(n,n-1,point,arbre, "arbre.ps"); + // system("evince graphe.ps"); + return EXIT_SUCCESS; +} + +void pointRandom(int n, coord point[]){ + srand(time(NULL)); + for (int i =0; i < n; i ++){ + point[i].abs = rand()%612; + point[i].ord =rand()%792; + //cout << "Created point "<<i<<" coords : "<< point[i].abs <<" : "<<point[i].ord<<endl; + } +} + +void distances(int n, int m, coord point[], int edge[][3]){ + int k = 0; + for (int i =0; i < n; i ++){ + for(int j = i+1; j < n; j ++){ + edge[k][0]=i; + edge[k][1]=j; + edge[k][2]=pow((point[i].abs - point[i].ord)-(point[j].abs - point[j].ord),2); + k++; + } + } + cout<<"calcul des distance : OK"<<endl; +} + +void fusion(int tableau[][3],int deb1,int fin1,int fin2) + { + int table1[fin1-deb1+1][3]; + int deb2=fin1+1; + int compt1=deb1; + int compt2=deb2; + int i; + for(i=deb1;i<=fin1;i++) + { + swap(table1[i-deb1],tableau[i]); + } + + for(i=deb1;i<=fin2;i++) + { + if (compt1==deb2) + { + break; + } + else if (compt2==(fin2+1)) + { + swap(tableau[i],table1[compt1-deb1]); + compt1++; + } + else if (table1[compt1-deb1][2]<tableau[compt2][2]) + { + swap(tableau[i],table1[compt1-deb1]); + compt1++; + } + else + { + swap(tableau[i],tableau[compt2]); + compt2++; + } + } + } + +void tri_fusion_bis(int tableau[][3],int deb,int fin) + { + if (deb!=fin) + { + int milieu=(fin+deb)/2; + tri_fusion_bis(tableau,deb,milieu); + tri_fusion_bis(tableau,milieu+1,fin); + fusion(tableau,deb,milieu,fin); + } + } + +void tri_fusion(int tableau[][3],int longueur) + { + if (longueur>0) + { + tri_fusion_bis(tableau,0,longueur-1); + } + } +void tri(int m, int edge[][3]){ + for (int i = 0 ; i < m ; i ++){ + for(int j=i+1; j < m; j ++){ + if ( edge[i][2]>edge[j][2]){ + swap(edge[i][0],edge[j][0]); + swap(edge[i][1],edge[j][1]); + swap(edge[i][2],edge[j][2]); + } + } + } +} + +void affichageGraphique(int n, int m, coord point[], int arbre[][2], const char * filename) +// Cree le fichier Exemple.ps qui affiche +// les points et l'arbre de Kruskal. +{ + ofstream output; + output.open(filename,ios::out); + output << "%!PS-Adobe-3.0" << endl; + output << "%%BoundingBox: 0 0 612 792" << endl; + output << endl; + for(int i=0;i<n;i++) + { + output << point[i].abs << " " << point[i].ord << " 3 0 360 arc" <<endl; + output << "0 setgray" <<endl; + output << "fill" <<endl; + output << "stroke"<<endl; + output << endl; + } + output << endl; + for(int i=0;i<m;i++) + { + output << point[arbre[i][0]].abs << " " << point[arbre[i][0]].ord + << " moveto" << endl; + output << point[arbre[i][1]].abs << " " << point[arbre[i][1]].ord + << " lineto" << endl; + output << "stroke" << endl; + output << endl; + } + output << "showpage"; + output << endl; +} + +void kruskal (int n, int edge[][3], int arbre[][2]){ + int comp[n]; + int indicea=0; + for(int i =0; i < n-1; i ++){ + arbre[i][0]=0; + arbre[i][1]=0; + } + for (int i = 0; i < n; i ++){ + comp[i]=i; + } + for(int i = 0 ; i < n*(n-1)/2;i++ ){ + if ( comp[edge[i][0]]!=comp[edge[i][1]]){ + int aux = comp[edge[i][0]]; + arbre[indicea][0]=edge[i][0]; + arbre[indicea][1]=edge[i][1]; + for(int j = 0; j < n; j ++){ + if (comp[j]==aux){ + comp[j]=comp[edge[i][1]]; + } + } + indicea++; + } + } +} diff --git a/sem_5/HLIN501_Graphes/TP-DEVOIRTP/TP2/tribulle.cc b/sem_5/HLIN501_Graphes/TP-DEVOIRTP/TP2/tribulle.cc new file mode 100644 index 0000000..0266596 --- /dev/null +++ b/sem_5/HLIN501_Graphes/TP-DEVOIRTP/TP2/tribulle.cc @@ -0,0 +1,189 @@ +#include <cstdlib>
+#include <iostream>
+#include <vector>
+#include <fstream>
+#include <cmath>
+
+typedef struct coord{int abs; int ord;} coord;
+void pointRandom(int n, coord point[]);
+void distances(int n, int m, coord point[], int edge[][3]);
+void tri(int m, int edge[][3]);
+void affichageGraphique(int n, int m, coord point[], int arbre[][2], const char * filename);
+void kruskal (int n, int edge[][3], int arbre[][2]);
+void fusion(int tableau[][3],int deb1,int fin1,int fin2);
+void tri_fusion(int tableau[][3],int longueur);
+void tri_fusion_bis(int tableau[][3],int deb,int fin);
+using namespace std;
+
+int
+main()
+{
+ int n; //Le nombre de points.
+ cout << "Entrer le nombre de points: ";
+ cin >> n;
+ int m=n*(n-1)/2; // Le nombre de paires de points.
+ coord point[n]; // Les coordonnees des points dans le plan.
+ int edge[m][3]; // Les paires de points et le carre de leur longueur.
+ int arbre[n-1][2]; // Les aretes de l'arbre de Kruskal.
+ pointRandom(n,point);
+ distances(n,m,point,edge);
+ tri(m,edge);
+ for (int i =0; i < m; i ++){
+ cout << "point "<< edge[i][0]<<":"<<edge[i][1]<<" coords : ("<< point[edge[i][0]].abs<<";"<<point[edge[i][0]].ord <<") ; ("<<point[edge[i][1]].abs<<" ; "<<point[edge[i][1]].ord<<") norme : "<<edge[i][2]<< endl;
+ }
+ int edge2[m][2];
+ for(int i =0; i < m; i ++){
+ edge2[i][0]=edge[i][0];
+ edge2[i][1]=edge[i][1];
+ }
+ affichageGraphique(n,m, point,edge2, "graphe.ps");
+ kruskal(n,edge,arbre);
+ affichageGraphique(n,n-1,point,arbre, "arbre.ps");
+ // system("evince graphe.ps");
+ return EXIT_SUCCESS;
+}
+
+void pointRandom(int n, coord point[]){
+ srand(time(NULL));
+ for (int i =0; i < n; i ++){
+ point[i].abs = rand()%612;
+ point[i].ord =rand()%792;
+ cout << "Created point "<<i<<" coords : "<< point[i].abs <<" : "<<point[i].ord<<endl;
+ }
+}
+
+void distances(int n, int m, coord point[], int edge[][3]){
+ int k = 0;
+ for (int i =0; i < n; i ++){
+ for(int j = i+1; j < n; j ++){
+ edge[k][0]=i;
+ edge[k][1]=j;
+ edge[k][2]=(pow(point[j].abs-point[i].abs,2)+pow(point[j].ord-point[i].ord,2));
+ k++;
+ }
+ }
+ cout<<"calcul des distance : OK"<<endl;
+}
+
+void fusion(int tableau[][3],int deb1,int fin1,int fin2)
+ {
+ int table1[fin1-deb1+1][3];
+ int deb2=fin1+1;
+ int compt1=deb1;
+ int compt2=deb2;
+ int i;
+ //on recopie les éléments du début du tableau
+ for(i=deb1;i<=fin1;i++)
+ {
+ swap(table1[i-deb1],tableau[i]);
+ }
+
+ for(i=deb1;i<=fin2;i++)
+ {
+ if (compt1==deb2) //c'est que tous les éléments du premier tableau ont été utilisés
+ {
+ break; //tous les éléments ont donc été classés
+ }
+ else if (compt2==(fin2+1)) //c'est que tous les éléments du second tableau ont été utilisés
+ {
+ swap(tableau[i],table1[compt1-deb1]); //on ajoute les éléments restants du premier tableau
+ compt1++;
+ }
+ else if (table1[compt1-deb1][2]<tableau[compt2][2])
+ {
+ swap(tableau[i],table1[compt1-deb1]); //on ajoute un élément du premier tableau
+ compt1++;
+ }
+ else
+ {
+ swap(tableau[i],tableau[compt2]); //on ajoute un élément du second tableau
+ compt2++;
+ }
+ }
+ }
+
+void tri_fusion_bis(int tableau[][3],int deb,int fin)
+ {
+ if (deb!=fin)
+ {
+ int milieu=(fin+deb)/2;
+ tri_fusion_bis(tableau,deb,milieu);
+ tri_fusion_bis(tableau,milieu+1,fin);
+ fusion(tableau,deb,milieu,fin);
+ }
+ }
+
+void tri_fusion(int tableau[][3],int longueur)
+ {
+ if (longueur>0)
+ {
+ tri_fusion_bis(tableau,0,longueur-1);
+ }
+ }
+void tri(int m, int edge[][3]){
+ for (int i = 0 ; i < m ; i ++){
+ for(int j=i+1; j < m; j ++){
+ if ( edge[i][2]>edge[j][2]){
+ swap(edge[i][0],edge[j][0]);
+ swap(edge[i][1],edge[j][1]);
+ swap(edge[i][2],edge[j][2]);
+ }
+ }
+ }
+}
+
+void affichageGraphique(int n, int m, coord point[], int arbre[][2], const char * filename)
+// Cree le fichier Exemple.ps qui affiche
+// les points et l'arbre de Kruskal.
+{
+ ofstream output;
+ output.open(filename,ios::out);
+ output << "%!PS-Adobe-3.0" << endl;
+ output << "%%BoundingBox: 0 0 612 792" << endl;
+ output << endl;
+ for(int i=0;i<n;i++)
+ {
+ output << point[i].abs << " " << point[i].ord << " 3 0 360 arc" <<endl;
+ output << "0 setgray" <<endl;
+ output << "fill" <<endl;
+ output << "stroke"<<endl;
+ output << endl;
+ }
+ output << endl;
+ for(int i=0;i<m;i++)
+ {
+ output << point[arbre[i][0]].abs << " " << point[arbre[i][0]].ord
+ << " moveto" << endl;
+ output << point[arbre[i][1]].abs << " " << point[arbre[i][1]].ord
+ << " lineto" << endl;
+ output << "stroke" << endl;
+ output << endl;
+ }
+ output << "showpage";
+ output << endl;
+}
+
+void kruskal (int n, int edge[][3], int arbre[][2]){
+ int comp[n];
+ int indicea=0;
+ for(int i =0; i < n-1; i ++){
+ arbre[i][0]=0;
+ arbre[i][1]=0;
+ }
+ for (int i = 0; i < n; i ++){
+ comp[i]=i;
+ }
+ for(int i = 0 ; i < n*(n-1)/2;i++ ){
+ if ( comp[edge[i][0]]!=comp[edge[i][1]]){
+ int aux = comp[edge[i][0]];
+ arbre[indicea][0]=edge[i][0];
+ arbre[indicea][1]=edge[i][1];
+ for(int j = 0; j < n; j ++){
+ if (comp[j]==aux){
+ comp[j]=comp[edge[i][1]];
+ }
+ }
+ indicea++;
+ }
+ }
+}
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