From d12e5126b4492b69616bd138a249a9828e5a5264 Mon Sep 17 00:00:00 2001 From: kilpikonna Date: Sun, 29 Oct 2017 17:04:44 +0100 Subject: [PATCH 01/20] Ajout d'un fichier de la partie une MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit Implémentation des fonctions démandées aux questions 4 et 6 pour l'instant, + lecture d'un fichier. J'ai testé sur plusieurs exemples et j'ai vérifiée à la main le résultat. Mais ça ne veut pas dire que ça marche à 100 % (j'ai vraiment envie de dire oui, mais ce n'était pas évident au niveau des indices). J'ai modifié un peu des cas de base proposés, car avec l'approche de l'énoncé, il y avait des dépassement de bordes. Pour les éviter, il fallait traiter le cas où l=1 séparement. --- mogpl_part1.py | 165 +++++++++++++++++++++++++++++++++++++++++++++++++ 1 file changed, 165 insertions(+) create mode 100644 mogpl_part1.py diff --git a/mogpl_part1.py b/mogpl_part1.py new file mode 100644 index 0000000..d5ec431 --- /dev/null +++ b/mogpl_part1.py @@ -0,0 +1,165 @@ +import numpy as np +import matplotlib.pyplot as plt +from constants import * + +""" +@param file_name: le nom d'un fichier contenant une instance du problème +@return sequences: une liste de deux listes. La première contient la description des lignes (une liste par ligne), + la deuxième la description des colonnes (une liste par colonne). + + Par exemple: pour l'exemple donné dans l'énoncé, la fonction renvoie + [[[3], [], [1, 1, 1], [3]], [[1, 1], [1], [1, 2], [1], [2]]] + + [3] - la première ligne contienne un bloc de la longueur 3 + [] - aucun bloc sur la deuxième ligne + + [1,1] - la première colonne contienne deux blocs, chacun de longueur 1 + + etc. +""" +def read_file(file_name): + sequences = [[], []] #première liste pour descriptions des lignes, deuxième piur description des colonnes + + indice = const.LINES # d'abord, on décrit les lignes - on va remplir sequences[0] + + with open(file_name) as file: + for line in file: #pour chaque ligne du fichier + if len(line) > 0 and line[0] == '#': # on passe de la déscription des lignes à celle des colonnes + indice = const.COLUMNS + else: #il s'agit d'une ligne décrivant une ligne/colonne + #on transforme la ligne des caractères en une liste des entiers, et on l'append à la fin de sequences[0]/sequences[1] + sequences[indice].append(list(map(int, line.split()))) + + return sequences + + +""" Réponse à la question Q4: + + Fonction qui permet de décider si il est possible de colorier la ligne avec sa séquence associée + @param line_length: le nombre de cases de la ligne + @param line_sequence: la séquence des blocs avec lesquels on veut colorier la ligne + @return : True si possible de colorier toute la ligne avec toutes les blocs, False sinon +""" +def color_line(line_length, line_sequence): + + #si la séquence est vide (aucun bloc), on renvoie directement True + if not line_sequence: + return True + + #sinon: + + T = np.zeros((line_length, len(line_sequence)+1)) #T[j][l] = True si possible de colorier j+1 premières cases avec l premiers blocs, False sinon + + #Quelques cas de base: + for j in range(line_length): + T[j][0] = True #il est toujours possible de colorier n'importe quel nombre de cases avec 0 blocs + T[j][1] = (j >= line_sequence[0]-1) #cas où on a un seul bloc - on peut colorier la ligne avec ssi sa longueur est <= nombre de cases considérées + + for l in range(2, len(line_sequence)+1): #cas où ou considère au moins 2 blocs + for j in range(line_length): + if j < sum(line_sequence[0:l]): #si la somme des longueurs des blocs est plus grand que le nombre de cases considérés, T[j][l] est fausse + T[j][l] = False + else: #sinon + # - soit le dernière bloc finit sur la case j+1. Dans un tel cas, T[j][l] est vraie ssi on peut faire rentrer les blocs précédents aux cases + # devant le début de ce dernière bloc (il ne faut pas oublié une espace blanche entre deux blocs!) + + # - soit la dernière case est blanche. Dans ce cas, T[j][l] ssi T[j-1][l] + T[j][l] = T[j - line_sequence[l-1] -1][l-1] or T[j-1][l] + + #On renvoie la "dernière" case du tableau indiquant si on peut colorier toute la ligne avec toute la séquence + return T[-1][-1] + + +""" Réponse à la question 6: + La fonction permet de décider si on peut colorier toute la ligne avec toute la séquence, sachant que certaines cases + sont déjà fixées à noire ou blanche. + + @param line: une liste de longueur M (M = nombre de colonnes) dont le i-ième élément est: + - const.BLACK si la i-ième case de la ligne est déjà noire + - const.WHITE si li i-ième case de la ligne est déjà blanche + - const.NOT_COLORED si la case n'était pas encore coloriée + @param line_sequence: la séquence des blocs avec lesquels on veut colorier la ligne + @return : True si possible de colorier toute la ligne avec toutes les blocs, False sinon +""" +def color_line_bis(line, line_sequence): + + #si la séquence est vide (aucun bloc), on renvoie directement True + if not line_sequence: + return True + + #sinon: + line_length = len(line) + T = np.zeros((line_length, len(line_sequence)+1)) #T[j][l] = True si possible de colorier j+1 premières cases avec l premiers blocs, False sinon + + #Cas où on considère 0 blocs + for j in range(line_length): + T[j][0] = True + + #Si on considère un seul bloc: + for j in range(line_length): + if j< line_sequence[0] -1: #si le nombre de cases est plus petit que la taille d'un bloc + T[j][1] = False + elif j == line_sequence[0]-1 : #nombre de cases est exactement la taille d'un bloc + #le bloc commence sur la première case et finit sur la dernière case considérée. La case suivante n'est pas noire + T[j][1] = ((const.WHITE not in line[j-line_sequence[0]+1:j+1]) and (line[j+1] != const.BLACK)) + elif j< line_length-1: + #si le nombre de cases est au moins la longueur du bloc, mais pas la ligne en entière: + # - soit le bloc finit sur la case j+1. Dans ce cas, toutes les cases entre son début et fin doivent être noires ou indéterminés. + # La case juste avant le début ne peut pas être noire, et la case après la fin ne peut pas être noire non plus. + # - soit le bloc se finit avant (partie droite de la disjonction) + T[j][1] = ((const.WHITE not in line[j-line_sequence[0]+1:j+1]) and (line[j-line_sequence[0]] != const.BLACK) and (line[j+1] != const.BLACK)) or (True in T[:,1][0:j]) + else: #on considère la ligne en entière - le même cas que précédamment, on n'a juste pas la case suivante + T[j][1] = ((const.WHITE not in line[j-line_sequence[0]+1:j+1]) and (line[j-line_sequence[0]] != const.BLACK)) or (True in T[:,1][0:j]) + + + #On considère enfin plus qu'un bloc: + for l in range(2, len(line_sequence)+1): + for j in range(line_length): + if j < sum(line_sequence[0:l]): #si la somme des longueurs des blocs est plus grand que le nombre de cases considérés, T[j][l] est fausse + T[j][l] = False + elif j< line_length-1: + # - soit le dernier bloc finit sur la case j+1. Dans ce cas là, aucune case entre le début et la fin du bloc ne peut pas être coloriée à blanche, + # et la case suivante et précédente ne peut pas être noire. + # - soit le dernier bloc finit avant, dans quel cas la case j+1 ne peut pas être noire et T[j-1][l] doit être vraie pour qu'on ait T[j][l] vraie + T[j][l] = (T[j - line_sequence[l-1] -1][l-1] and const.WHITE not in line[j-line_sequence[l-1]+1:j+1] and line[j-line_sequence[l-1]] != const.BLACK and line[j+1] != const.BLACK) or (T[j-1][l] and line[j] != const.BLACK) + + else: # j = line_lenght+1 + T[j][l] = (T[j - line_sequence[l-1] -1][l-1] and const.WHITE not in line[j-line_sequence[l-1] +1 :j+1] and line[j-line_sequence[l-1]] != const.BLACK) or (T[j-1][l] and line[j] != const.BLACK) + print(T) + return T[-1][-1] + + +#Quelques testes - TODO 29.1.2017: à nettoyer/organiser +sequences = read_file("0.txt") +print("Contenu du fichier: ",sequences) + +nb_lines = len(sequences[0]) +nb_columns = len(sequences[1]) + +T = color_line(nb_columns, sequences[0][2]) +print(T) + + +#pour visualiser la coloriage - utile peut être dans la suite, le test ici ne donne pas de sens, +#c'était juste pour comprendre comment peut-on faire se genre de graphique... +""" +plt.subplot(211) +plt.imshow(T, cmap = "Greys", interpolation = "nearest") +ax = plt.gca() + +# Major ticks +ax.set_xticks(np.arange(0, nb_columns, 1)); +ax.set_yticks(np.arange(0, nb_lines, 1)); + +# Minor ticks +ax.set_xticks(np.arange(-.5, nb_columns, 1), minor=True); +ax.set_yticks(np.arange(-.5, nb_lines, 1), minor=True); + +ax.grid(which = "minor", color='grey', linestyle='-', linewidth=2) +plt.show() +""" + + +line = [-1 for i in range(nb_columns)] +line[3] = const.BLACK +print(color_line_bis(line, sequences[0][2])) \ No newline at end of file From f96d5c4e83fd4892345eab9f2ff08273d9b297e8 Mon Sep 17 00:00:00 2001 From: kilpikonna Date: Sun, 29 Oct 2017 17:08:28 +0100 Subject: [PATCH 02/20] Classe des constantes MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit Je ne suis pas très à l'aise avec Python, donc je ne suis pas sûre comment faire des constantes. J'ai crée une classe des constantes pour l'instant (une approche trouvée sur l'internet plusieurs fois), mais je ne suis pas sûre si c'est une façon bonne et propre de faire... --- constants.py | 6 ++++++ 1 file changed, 6 insertions(+) create mode 100644 constants.py diff --git a/constants.py b/constants.py new file mode 100644 index 0000000..0cdde04 --- /dev/null +++ b/constants.py @@ -0,0 +1,6 @@ +class const: + WHITE = 1 + BLACK = 0 + NOT_COLORED = -1 + LINES = 0 + COLUMNS = 1 \ No newline at end of file From 192f1b667ccbd6b9d03a93d898290a3d71843b20 Mon Sep 17 00:00:00 2001 From: kilpikonna Date: Mon, 30 Oct 2017 09:43:03 +0100 Subject: [PATCH 03/20] Update constants.py MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit J'ai inversé les valeurs de noir et blanc (si on l'affiche à l'aide de plt.imshow(), on a bien noir en noir et blanc en blanc). J'ai mis la valeur de NOT_COLORED en 0.5, ce qui s'affiche en gris sur le graphique. --- constants.py | 8 ++++---- 1 file changed, 4 insertions(+), 4 deletions(-) diff --git a/constants.py b/constants.py index 0cdde04..8a13da9 100644 --- a/constants.py +++ b/constants.py @@ -1,6 +1,6 @@ class const: - WHITE = 1 - BLACK = 0 - NOT_COLORED = -1 + WHITE = 0 + BLACK = 1 + NOT_COLORED = 0.5 LINES = 0 - COLUMNS = 1 \ No newline at end of file + COLUMNS = 1 From a6b6e7723546bb45348317acfccad314152d10d3 Mon Sep 17 00:00:00 2001 From: kilpikonna Date: Mon, 30 Oct 2017 09:47:02 +0100 Subject: [PATCH 04/20] Update mogpl_part1.py MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit Ajout d'une fonction de coloration (question 7). Pas commentée, mais suit strictement le pseudo-code donné, bien testée et fait ce qu'il faut. Ajout de l'affichage du résultat, et appel de la fonction de coloration --- mogpl_part1.py | 74 ++++++++++++++++++++++++++++++++++++++++++++++---- 1 file changed, 68 insertions(+), 6 deletions(-) diff --git a/mogpl_part1.py b/mogpl_part1.py index d5ec431..a849803 100644 --- a/mogpl_part1.py +++ b/mogpl_part1.py @@ -128,6 +128,66 @@ def color_line_bis(line, line_sequence): print(T) return T[-1][-1] +def coloration(A, sequences): + lines_to_see = [i for i in range(len(A))] + columns_to_see = [i for i in range(len(A[0]))] + + + + while lines_to_see or columns_to_see: + for i in lines_to_see: + new_to_see = [] + for j in range(len(A[i])): + can_colour = [False, False] + if A[i][j] == const.NOT_COLORED: + A[i][j] = const.WHITE + can_colour[const.WHITE] = colour_line_bis(A[i], sequences[const.LINES][i]) + A[i][j] = const.BLACK + can_colour[const.BLACK] = colour_line_bis(A[i], sequences[const.LINES][i]) + + if (can_colour[const.WHITE]) and (not can_colour[const.BLACK]): + A[i][j] = const.WHITE + new_to_see += [j] + elif (can_colour[const.BLACK]) and (not can_colour[const.WHITE]): + A[i][j] = const.BLACK + new_to_see += [j] + elif (can_colour[const.WHITE]) and (can_colour[const.BLACK]): + A[i][j] = const.NOT_COLORED + else: + return null #pas de solution + + + columns_to_see = list(set().union(columns_to_see, new_to_see)) + + lines_to_see = [] + + for j in columns_to_see: + new_to_see = [] + for i in range(len(np.transpose(A)[j])): + can_colour = [False, False] + if A[i][j] == const.NOT_COLORED: + A[i][j] = const.WHITE + can_colour[const.WHITE] = colour_line_bis(np.transpose(A)[j], sequences[const.COLUMNS][j]) + A[i][j] = const.BLACK + can_colour[const.BLACK] = colour_line_bis(np.transpose(A)[j], sequences[const.COLUMNS][j]) + if (can_colour[const.WHITE]) and (not can_colour[const.BLACK]): + A[i][j] = const.WHITE + new_to_see += [i] + elif (can_colour[const.BLACK]) and (not can_colour[const.WHITE]): + A[i][j] = const.BLACK + new_to_see += [i] + elif (can_colour[const.WHITE]) and (can_colour[const.BLACK]): + A[i][j] = const.NOT_COLORED + else: + return null #pas de solution + + + lines_to_see = list(set().union(lines_to_see, new_to_see)) + + columns_to_see = [] + + return A + #Quelques testes - TODO 29.1.2017: à nettoyer/organiser sequences = read_file("0.txt") @@ -139,12 +199,14 @@ def color_line_bis(line, line_sequence): T = color_line(nb_columns, sequences[0][2]) print(T) +#appel de la fonction coloration +A = np.full((nb_lines, nb_columns), const.NOT_COLORED) +coloration(A, sequences) + +#pour visualiser la coloriage -#pour visualiser la coloriage - utile peut être dans la suite, le test ici ne donne pas de sens, -#c'était juste pour comprendre comment peut-on faire se genre de graphique... -""" plt.subplot(211) -plt.imshow(T, cmap = "Greys", interpolation = "nearest") +plt.imshow(A, cmap = "Greys", interpolation = "nearest") ax = plt.gca() # Major ticks @@ -157,9 +219,9 @@ def color_line_bis(line, line_sequence): ax.grid(which = "minor", color='grey', linestyle='-', linewidth=2) plt.show() -""" + line = [-1 for i in range(nb_columns)] line[3] = const.BLACK -print(color_line_bis(line, sequences[0][2])) \ No newline at end of file +print(color_line_bis(line, sequences[0][2])) From 2c45d1182e66242c4b561f8cf3c129c98640ccbd Mon Sep 17 00:00:00 2001 From: kilpikonna Date: Mon, 30 Oct 2017 09:55:17 +0100 Subject: [PATCH 05/20] Update mogpl_part1.py MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit Si il y a aucun bloc, la ligne ne pas être coloriée si il y a déjà une case fixée a noire. --- mogpl_part1.py | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/mogpl_part1.py b/mogpl_part1.py index a849803..47a0312 100644 --- a/mogpl_part1.py +++ b/mogpl_part1.py @@ -85,7 +85,7 @@ def color_line_bis(line, line_sequence): #si la séquence est vide (aucun bloc), on renvoie directement True if not line_sequence: - return True + return (const.BLACK not in line) #sinon: line_length = len(line) From e61e923a9deecd0bc3ee617218bfcc1b63e64b03 Mon Sep 17 00:00:00 2001 From: kilpikonna Date: Mon, 30 Oct 2017 16:21:53 +0100 Subject: [PATCH 06/20] Add files via upload MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit La fonction colour_line_bis a été remplacée par une version complexe. Je garde la version précédente pour qu'on puisse décider laquelle on garde. Cette version est plus lente, mais donne des résultats plus précis. D'ailleurs, il y a quelques petites erreurs (comportement bizzare) dans la version précédente. Sur une des examples, il y a un dépassement de bords. Comme je pense qu'on ne la gardera pas, j'ai pas fixé cela... --- mogpl_part1_v2.py | 252 ++++++++++++++++++++++++++++++++++++++++++++++ 1 file changed, 252 insertions(+) create mode 100644 mogpl_part1_v2.py diff --git a/mogpl_part1_v2.py b/mogpl_part1_v2.py new file mode 100644 index 0000000..9b80d98 --- /dev/null +++ b/mogpl_part1_v2.py @@ -0,0 +1,252 @@ +import numpy as np +import matplotlib.pyplot as plt +from constants import * +import datetime +import timeit +import time + +""" +@param file_name: le nom d'un fichier contenant une instance du problème +@return sequences: une liste de deux listes. La première contient la description des lignes (une liste par ligne), + la deuxième la description des colonnes (une liste par colonne). + + Par exemple: pour l'exemple donné dans l'énoncé, la fonction renvoie + [[[3], [], [1, 1, 1], [3]], [[1, 1], [1], [1, 2], [1], [2]]] + + [3] - la première ligne contienne un bloc de la longueur 3 + [] - aucun bloc sur la deuxième ligne + + [1,1] - la première colonne contienne deux blocs, chacun de longueur 1 + + etc. +""" +def read_file(file_name): + sequences = [[], []] #première liste pour descriptions des lignes, deuxième piur description des colonnes + + indice = const.LINES # d'abord, on décrit les lignes - on va remplir sequences[0] + + with open(file_name) as file: + for line in file: #pour chaque ligne du fichier + if len(line) > 0 and line[0] == '#': # on passe de la déscription des lignes à celle des colonnes + indice = const.COLUMNS + else: #il s'agit d'une ligne décrivant une ligne/colonne + #on transforme la ligne des caractères en une liste des entiers, et on l'append à la fin de sequences[0]/sequences[1] + sequences[indice].append(list(map(int, line.split()))) + + return sequences + + +""" Réponse à la question Q4: + + Fonction qui permet de décider si il est possible de colorier la ligne avec sa séquence associée + @param line_length: le nombre de cases de la ligne + @param line_sequence: la séquence des blocs avec lesquels on veut colorier la ligne + @return : True si possible de colorier toute la ligne avec toutes les blocs, False sinon +""" +def colour_line(line_length, line_sequence): + + #si la séquence est vide (aucun bloc), on renvoie directement True + if not line_sequence: + return True + + #sinon: + + T = np.zeros((line_length, len(line_sequence)+1)) #T[j][l] = True si possible de colorier j+1 premières cases avec l premiers blocs, False sinon + + #Quelques cas de base: + for j in range(line_length): + T[j][0] = True #il est toujours possible de colorier n'importe quel nombre de cases avec 0 blocs + T[j][1] = (j >= line_sequence[0]-1) #cas où on a un seul bloc - on peut colorier la ligne avec ssi sa longueur est <= nombre de cases considérées + + for l in range(2, len(line_sequence)+1): #cas où ou considère au moins 2 blocs + for j in range(line_length): + if j < sum(line_sequence[0:l]): #si la somme des longueurs des blocs est plus grand que le nombre de cases considérés, T[j][l] est fausse + T[j][l] = False + else: #sinon + # - soit le dernière bloc finit sur la case j+1. Dans un tel cas, T[j][l] est vraie ssi on peut faire rentrer les blocs précédents aux cases + # devant le début de ce dernière bloc (il ne faut pas oublié une espace blanche entre deux blocs!) + + # - soit la dernière case est blanche. Dans ce cas, T[j][l] ssi T[j-1][l] + T[j][l] = T[j - line_sequence[l-1] -1][l-1] or T[j-1][l] + + #On renvoie la "dernière" case du tableau indiquant si on peut colorier toute la ligne avec toute la séquence + return T[-1][-1] + + +""" Réponse à la question 6: + La fonction permet de décider si on peut colorier toute la ligne avec toute la séquence, sachant que certaines cases + sont déjà fixées à noire ou blanche. + + @param line: une liste de longueur M (M = nombre de colonnes) dont le i-ième élément est: + - const.BLACK si la i-ième case de la ligne est déjà noire + - const.WHITE si li i-ième case de la ligne est déjà blanche + - const.NOT_COLORED si la case n'était pas encore coloriée + @param line_sequence: la séquence des blocs avec lesquels on veut colorier la ligne + @return : True si possible de colorier toute la ligne avec toutes les blocs, False sinon +""" + + +def colour_line_bis(line, line_sequence): + #si la séquence est vide (aucun bloc), la réponse est TRUE ssi il n'y a pas de case déjà coloriée à noir. + if not line_sequence: + return (const.BLACK not in line) + + + #sinon: + line_length = len(line) + T = np.zeros((line_length, len(line_sequence)+1)) #T[j][l] = True si possible de colorier j+1 premières cases avec l premiers blocs, False sinon + + + #Cas où on considère 0 blocs + for j in range(line_length): + T[j][0] = (const.BLACK not in line) + + + for j in range(line_length): + if j < line_sequence[0]-1: # -1 oublié!!!! Maintenant, ça devrait marcher + T[j][1] = False + else: + #print("j = ", j) + last_black = const.WHITE not in line[j - line_sequence[0]+1:j+1] + #print("last black: ",last_black) + box_before = (j-line_sequence[0] < 0) or (j-line_sequence[0] >= 0 and line[j - line_sequence[0]] != const.BLACK) + #print("box before: ", box_before) + box_after = (j+1 >= line_length) or (j+1 < line_length and line[j+1] != const.BLACK) + #print("box after: ", box_after) + T[j][1] = last_black and box_before and box_after and (list(line[0:j+1]).count(const.BLACK) <= line_sequence[0]) + T[j][1] = T[j][1] or (T[j-1][1] and line[j] != const.BLACK) + #print("Fin cas 1 bloc, T = ", T) + #On considère enfin plus qu'un bloc: + for l in range(2, len(line_sequence)+1): + #print(T) + for j in range(line_length): + if j < sum(line_sequence[0:l]): #si la somme des longueurs des blocs est plus grand que le nombre de cases considérés, T[j][l] est fausse + T[j][l] = False + else: + #print("l et j: ",l, j) + #soit le dernier bloc finit sur la dernière case considéré: + last_black = const.WHITE not in line[j - line_sequence[l-1]+1:j+1] + #print("last black: ",last_black) + box_before = (j-line_sequence[l-1] < 0) or (j-line_sequence[l-1] >= 0 and line[j - line_sequence[l-1]] != const.BLACK) + #print("box before: ", box_before) + box_after = (j+1 >= line_length) or (j+1 < line_length and line[j+1] != const.BLACK) + #print("box after: ", box_after) + recurence = ((j - line_sequence[l-1] > 0) and (T[j - line_sequence[l-1] -1][l-1])) or (j - line_sequence[l-1] <= 0) + #print("recurrence: ", recurence) + T[j][l] = last_black and box_before and box_after and recurence and (list(line[0:j+1]).count(const.BLACK) <= sum(line_sequence[0:l])) and (list(line[j+1:]).count(const.BLACK) <= sum(line_sequence[l:])) + #print("T[j][l]: ", T[j][l]) + #soit le dernier bloc finit avant: + T[j][l] = T[j][l] or (T[j-1][l] and line[j] != const.BLACK) + #print(T[j][l]) + + #print(T) + return T[-1][-1] + +def coloration(A, sequences): + lines_to_see = [i for i in range(len(A))] + columns_to_see = [i for i in range(len(A[0]))] + + + + while lines_to_see or columns_to_see: + for i in lines_to_see: + new_to_see = [] + for j in range(len(A[i])): + can_colour = [False, False] + if A[i][j] == const.NOT_COLORED: + A[i][j] = const.WHITE + can_colour[const.WHITE] = colour_line_bis(A[i], sequences[const.LINES][i]) + A[i][j] = const.BLACK + can_colour[const.BLACK] = colour_line_bis(A[i], sequences[const.LINES][i]) + + if (can_colour[const.WHITE]) and (not can_colour[const.BLACK]): + A[i][j] = const.WHITE + new_to_see += [j] + elif (can_colour[const.BLACK]) and (not can_colour[const.WHITE]): + A[i][j] = const.BLACK + new_to_see += [j] + elif (can_colour[const.WHITE]) and (can_colour[const.BLACK]): + A[i][j] = const.NOT_COLORED + else: + return null #pas de solution + + columns_to_see = list(set().union(columns_to_see, new_to_see)) + + lines_to_see = [] + + for j in columns_to_see: + new_to_see = [] + for i in range(len(np.transpose(A)[j])): + can_colour = [False, False] + if A[i][j] == const.NOT_COLORED: + A[i][j] = const.WHITE + can_colour[const.WHITE] = colour_line_bis(np.transpose(A)[j], sequences[const.COLUMNS][j]) + A[i][j] = const.BLACK + can_colour[const.BLACK] = colour_line_bis(np.transpose(A)[j], sequences[const.COLUMNS][j]) + if (can_colour[const.WHITE]) and (not can_colour[const.BLACK]): + A[i][j] = const.WHITE + new_to_see += [i] + elif (can_colour[const.BLACK]) and (not can_colour[const.WHITE]): + A[i][j] = const.BLACK + new_to_see += [i] + elif (can_colour[const.WHITE]) and (can_colour[const.BLACK]): + A[i][j] = const.NOT_COLORED + else: + return null #pas de solution + + lines_to_see = list(set().union(lines_to_see, new_to_see)) + + columns_to_see = [] + + return A + + +#Quelques testes - TODO 29.1.2017: à nettoyer/organiser +num = 10 +sequences = read_file(str(num)+".txt") +print("Contenu du fichier: ",sequences) + +nb_lines = len(sequences[0]) +nb_columns = len(sequences[1]) +A = np.full((nb_lines, nb_columns), const.NOT_COLORED) +"""A = np.array([[ 0, 0, 0, 1, 1], + [ 1, 1, 1, -1, -1], + [ 0, 1, 0, 1, 0], + [ 1, -1, 0, 0, -1]])""" +start_time = timeit.default_timer() +coloration(A, sequences) +elapsed = timeit.default_timer() - start_time +print("Temps d'execution: ",elapsed) + +#T = colour_line(nb_columns, sequences[0][2]) +#print(T) + + + +#pour visualiser la coloriage - utile peut être dans la suite, le test ici ne donne pas de sens, +#c'était juste pour comprendre comment peut-on faire se genre de graphique... + +#plt.subplot(211) +plt.imshow(A, cmap = "Greys", interpolation = "nearest") +#plt.rcParams["figure.figsize"] = (50,50) +ax = plt.gca() + +# Major ticks +ax.set_xticks(np.arange(0, nb_columns, 1)); +ax.set_yticks(np.arange(0, nb_lines, 1)); + +# Minor ticks +ax.set_xticks(np.arange(-.5, nb_columns, 1), minor=True); +ax.set_yticks(np.arange(-.5, nb_lines, 1), minor=True); + +ax.grid(which = "minor", color='grey', linestyle='-', linewidth=2) + +plt.show() +ts = time.time() +st = datetime.datetime.fromtimestamp(ts).strftime('%Y-%m-%d-%H-%M-%S') +plt.savefig(str(st)+"image"+str(num)+".png") + + +line = [-1 for i in range(nb_columns)] +line[3] = const.BLACK +print(colour_line_bis(line, sequences[0][2])) \ No newline at end of file From 5837c442878e3e4fba68219656e3f15e7de766c6 Mon Sep 17 00:00:00 2001 From: kilpikonna Date: Mon, 30 Oct 2017 16:30:56 +0100 Subject: [PATCH 07/20] Add files via upload Comparaison de la vitesse de la fonction colour_line_bis (la vergion originale naive avec la version plus complexe). --- comparaison_performance_partie1.txt | 13 +++++++++++++ 1 file changed, 13 insertions(+) create mode 100644 comparaison_performance_partie1.txt diff --git a/comparaison_performance_partie1.txt b/comparaison_performance_partie1.txt new file mode 100644 index 0000000..ebfba83 --- /dev/null +++ b/comparaison_performance_partie1.txt @@ -0,0 +1,13 @@ +image: Algorithme naif: Algorithme optimisé: +0 0.0028851750130093655 0.004501615848153342 +1 0.0062464710737695234 0.010497580080201702 +2 1.059739164690073 4.061047410988084 +3 1.833371857650475 3.4331085488818265 +4 4.868523815337736 8.655220795702977 +5 1.459479728109199 4.091194763537741 +6 4.482694679179365 10.416106483583306 +7 6.101156954389975 10.042951255082741 +8 7.140349026362092 15.369357323512201 +9 40.6351284874879 179.92582705782087 +10 IndexError (?) 242.58593905887662 + From 47eb80084675930c4f16df496cd6109b7523feba Mon Sep 17 00:00:00 2001 From: kilpikonna Date: Mon, 30 Oct 2017 17:00:34 +0100 Subject: [PATCH 08/20] Add files via upload MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit Comparaison des résultats obtenus par la méthode "naive" et la méthode "plus sophistiquée". --- algo_dynam_results.pdf | Bin 0 -> 527984 bytes 1 file changed, 0 insertions(+), 0 deletions(-) create mode 100644 algo_dynam_results.pdf diff --git a/algo_dynam_results.pdf 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zuw-od;ujwr`0SnP<9)~8Ywy16`8_AE{MvNeXi59GHM5^@%sf>5_gJO475_>8jk@6r zYe%0w(>1bl;PkpL>(?}H>Nvga#M$LPmrs1W=>^e#xLYN@**fs__R{#HvgNV(yOZ6E zrqee(e0l8qp)g%M_14~9k;wiA*K~JPQ-hxEdF|BFjzsCjMEuoLt4eki%^ql)id@Ys zs%nrUiJRgL)vx!iDr~GR>pORO#o_ULn-A8zyp>08{;R8O>-asBeQif#Z)OS##vh#Q zeM014s#xAXv*f#m`eox{S!3~`p2*9 z$8|W*R5Qk#Qzt4H!)_nqo92*98m*&I@4+7!G^} zsU5>%84k>U#Md$$mf^tlpuP-;WjHLuVHpm~a9|rm;$ps{8pDD4h1xM3j^S_&hhsP# z!{Hc?km11Rh>Q>G7S$Mzkl_d!j*#KNTt{Ot93kZZe5QS0Ovj8yIWWO6c9a9KmeClL z1F%L>JIVoq;Q)pM7!It-BnB`Xz;Ix#puP+T_CC~(;lRFx*kMhf8pDD82DM{2B*THV zoBA>wlHrgHhh#Vu!=V@stb=4Mis4WU2i9ro%Wx=$1A9H{%WzmR! zp&1U%aA<}D`!yPu;lQ4i*kSKYHHHIwA8N;NF!damdX8N>b3cXydvp?)spo*b54B@B zuotCv3(U*`{L&H%BTgn zCv*B;jTgS>`I^P`&C!fh5^JNcsfG7TC3o-H+nJ0-@knF-AVdD=rx$bQ6T6eCxmQ?& yham!D(bcQhw`_<-|9!6&vFQIYy4u!c=TnKfL0voHX-n Date: Fri, 17 Nov 2017 17:34:32 +0100 Subject: [PATCH 09/20] Update mogpl_part1_v2.py MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit Erreur trouvé sur la ligne 102 - si on calcule T[j][0], on s'intéresse s'il n'y a pas de noir sur j+1 premières cases uniquement!!! Pas sur toute la ligne! --- mogpl_part1_v2.py | 7 +++---- 1 file changed, 3 insertions(+), 4 deletions(-) diff --git a/mogpl_part1_v2.py b/mogpl_part1_v2.py index 9b80d98..51d72f8 100644 --- a/mogpl_part1_v2.py +++ b/mogpl_part1_v2.py @@ -99,9 +99,8 @@ def colour_line_bis(line, line_sequence): #Cas où on considère 0 blocs for j in range(line_length): - T[j][0] = (const.BLACK not in line) - - + T[j][0] = (const.BLACK not in line[0:j+1]) + for j in range(line_length): if j < line_sequence[0]-1: # -1 oublié!!!! Maintenant, ça devrait marcher T[j][1] = False @@ -249,4 +248,4 @@ def coloration(A, sequences): line = [-1 for i in range(nb_columns)] line[3] = const.BLACK -print(colour_line_bis(line, sequences[0][2])) \ No newline at end of file +print(colour_line_bis(line, sequences[0][2])) From e95d95618cacb5b870c9ec67766e87a6ab17edfc Mon Sep 17 00:00:00 2001 From: kilpikonna Date: Sat, 18 Nov 2017 20:05:45 +0100 Subject: [PATCH 10/20] Update mogpl_part1_v2.py MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit Fonction colour_line_bis corrigée. --- mogpl_part1_v2.py | 103 +++++++++++++++++++++++++++------------------- 1 file changed, 61 insertions(+), 42 deletions(-) diff --git a/mogpl_part1_v2.py b/mogpl_part1_v2.py index 51d72f8..e9c3576 100644 --- a/mogpl_part1_v2.py +++ b/mogpl_part1_v2.py @@ -85,62 +85,81 @@ def colour_line(line_length, line_sequence): @return : True si possible de colorier toute la ligne avec toutes les blocs, False sinon """ - def colour_line_bis(line, line_sequence): #si la séquence est vide (aucun bloc), la réponse est TRUE ssi il n'y a pas de case déjà coloriée à noir. if not line_sequence: return (const.BLACK not in line) - + # si la ligne est entièrement colorée, il suffit de vérifier si le nombre de colonnes noires égale à la somme des longueure des blocs + # en effet, si cette fonction reçoit la ligne totalement colorée, cela signifie qu'on est en train de tester si la dernière case non colorée + # peut etre noire ou blanche, sqchqnt que les autres cases sont colorées de la bonne manière (UNIQUE); grace à cette unicité, la réponse est OUI + # si et seulement si la somme des cases noires est bonne + if (const.NOT_COLORED not in line): + return (list(line).count(const.BLACK) == sum(line_sequence)) + #sinon: line_length = len(line) T = np.zeros((line_length, len(line_sequence)+1)) #T[j][l] = True si possible de colorier j+1 premières cases avec l premiers blocs, False sinon - #Cas où on considère 0 blocs - for j in range(line_length): - T[j][0] = (const.BLACK not in line[0:j+1]) - + #Cas où on considère 0 blocs: for j in range(line_length): - if j < line_sequence[0]-1: # -1 oublié!!!! Maintenant, ça devrait marcher - T[j][1] = False - else: - #print("j = ", j) - last_black = const.WHITE not in line[j - line_sequence[0]+1:j+1] - #print("last black: ",last_black) - box_before = (j-line_sequence[0] < 0) or (j-line_sequence[0] >= 0 and line[j - line_sequence[0]] != const.BLACK) - #print("box before: ", box_before) - box_after = (j+1 >= line_length) or (j+1 < line_length and line[j+1] != const.BLACK) - #print("box after: ", box_after) - T[j][1] = last_black and box_before and box_after and (list(line[0:j+1]).count(const.BLACK) <= line_sequence[0]) - T[j][1] = T[j][1] or (T[j-1][1] and line[j] != const.BLACK) - #print("Fin cas 1 bloc, T = ", T) - #On considère enfin plus qu'un bloc: - for l in range(2, len(line_sequence)+1): - #print(T) - for j in range(line_length): - if j < sum(line_sequence[0:l]): #si la somme des longueurs des blocs est plus grand que le nombre de cases considérés, T[j][l] est fausse - T[j][l] = False - else: - #print("l et j: ",l, j) - #soit le dernier bloc finit sur la dernière case considéré: - last_black = const.WHITE not in line[j - line_sequence[l-1]+1:j+1] - #print("last black: ",last_black) - box_before = (j-line_sequence[l-1] < 0) or (j-line_sequence[l-1] >= 0 and line[j - line_sequence[l-1]] != const.BLACK) - #print("box before: ", box_before) - box_after = (j+1 >= line_length) or (j+1 < line_length and line[j+1] != const.BLACK) - #print("box after: ", box_after) - recurence = ((j - line_sequence[l-1] > 0) and (T[j - line_sequence[l-1] -1][l-1])) or (j - line_sequence[l-1] <= 0) - #print("recurrence: ", recurence) - T[j][l] = last_black and box_before and box_after and recurence and (list(line[0:j+1]).count(const.BLACK) <= sum(line_sequence[0:l])) and (list(line[j+1:]).count(const.BLACK) <= sum(line_sequence[l:])) - #print("T[j][l]: ", T[j][l]) - #soit le dernier bloc finit avant: - T[j][l] = T[j][l] or (T[j-1][l] and line[j] != const.BLACK) - #print(T[j][l]) + #on peut colorier j+1 premieres cases avec 0 blocs ssi il n'y a pas de case noire (qui imposerait une présence d'un bloc) + T[j][0] = const.BLACK not in line[0:j+1] + + + #Cas 2a + for l in range(len(line_sequence)): #l correspond à (l+1) blocs considérés + for j in range(0, sum(line_sequence[0:l+1])+l-1): + #si j est < la somme des longueurs des (l+1) blocs considérés + l (si l+1 blocs, au moins l cases de plus pour les séparer), + #les blocs ne rentrent pas - T[j][l+1] est fausse + T[j][l+1] = False + + #Cas 2b + #si on considère un seul bloc: T[j][1] = 1 si j+1 est la longueur du bloc et il n'y a pas de cases blanches + j = line_sequence[0]-1 + T[j][1] = (const.WHITE not in line[0:j+1]) and (line_length <= line_sequence[0] or line[j+1] != const.BLACK) + + #sinon, si on considère plus qu'un bloc, la réponse sera toujours FAUX + #TODO 18.11.: je trouve que cette condition est un peu redondant si on a remplacé dans Cas 2a line_sequence[l]-1 par sum(line_sequence[0:l+1])+l-1, + #ce qui est d'ailleurs beuacoup plus efficace! A vérifier et éventuellement supprimer + for l in range(1, len(line_sequence)): + j = line_sequence[l]-1 + T[j][l+1] = False + + #Cas 2c - on considère au moins un bloc, et j >= sum(line_sequence[0:l+1])+l-1 + for l in range(len(line_sequence)): #pour chacun des blocs l correspond à l+1 blocs considérés + for j in range(sum(line_sequence[0:l+1])+l-1, line_length): #pour toutes les valeurs de j pas encore traitées + + #Soit le dernier bloc se termine sur la derniere case considerée : + + #1) La derniere case ne peut pas etre blanc, ainsi que les cases precedentes qui forment le bloc: + last_black = const.WHITE not in (line[j-line_sequence[l]+1:j+1]) + #2) La case avant soit n'existe pas, soit elle n'est pas coloriée au noir. + box_before = (j-line_sequence[l]<0 or line[j-line_sequence[l]] != const.BLACK) + #3) La case aprés soit n'existe pas, soit elle n'est pas coloriée au noir + box_after = (line_length == j+1 or line[j+1] != const.BLACK) + #4) La rélation de récursion est bien vérifiée - on peut remplire les cases avant le début de ce bloc (et avant la case "de séparation") + #avec l blocs précédentes + rec = (l== 0 or (j- line_sequence[l] - 1 >= 0 and T[j-line_sequence[l]-1][l])) - #print(T) + #Le dernier bloc peut finir sur la case j ssi + # - toutes les conditions 1-4 sont vérifiées + # - de plus, la somme des cases noires après la case j+1 (on finit sur j, il faut pas oublier la séparation) ne dépasse pas la somme des longueurs des blocs suivants + # - de plus, la somme des cases noires avant le début de ce dernier bloc ne dépasse pas la somme des longueurs des blocs précédents + ends_by_black = last_black and box_before and box_after and rec and (list(line[j+2:]).count(const.BLACK) <= sum(line_sequence[l+1:])) and (list(line[0:(j-line_sequence[l]+1)]).count(const.BLACK) <= sum(line_sequence[0:l])) + + #Soit le dernier bloc se termine avant la dernière case considérée: + # la dernière case ne peut pas être noire, on doit être capable de rentrer les blocs dans les cases précedentes + # - et de plus, on calcule les cases noires avant/après de façon analogue qu'avant + ends_by_white = ((line[j] != const.BLACK) and T[j-1][l+1]) and (list(line[j+1:]).count(const.BLACK) <= sum(line_sequence[l+1:])) and (list(line[0:j]).count(const.BLACK) <= sum(line_sequence[0:l+1])) + + #ENFIN, T[j][l+1] vrai si au moins une des deux confgurations ci-dessus possible + T[j][l+1] = (ends_by_white or ends_by_black) + return T[-1][-1] + def coloration(A, sequences): lines_to_see = [i for i in range(len(A))] columns_to_see = [i for i in range(len(A[0]))] From fab9ba790eae44dcf25d2a474d29b0c54505e471 Mon Sep 17 00:00:00 2001 From: Batary Date: Fri, 24 Nov 2017 18:38:29 +0100 Subject: [PATCH 11/20] debut partie 2 --- mogpl_part1_v2.py | 4 ++-- 1 file changed, 2 insertions(+), 2 deletions(-) diff --git a/mogpl_part1_v2.py b/mogpl_part1_v2.py index e9c3576..8de9960 100644 --- a/mogpl_part1_v2.py +++ b/mogpl_part1_v2.py @@ -220,8 +220,8 @@ def coloration(A, sequences): #Quelques testes - TODO 29.1.2017: à nettoyer/organiser -num = 10 -sequences = read_file(str(num)+".txt") +num = 9 +sequences = read_file("instances/" + str(num)+".txt") print("Contenu du fichier: ",sequences) nb_lines = len(sequences[0]) From 81562258a32104063daafd2b520893ec26a8ae3b Mon Sep 17 00:00:00 2001 From: Batary Date: Sun, 26 Nov 2017 22:41:55 +0100 Subject: [PATCH 12/20] debut partie 2 --- mogpl_part1_v2.py | 4 ++-- 1 file changed, 2 insertions(+), 2 deletions(-) diff --git a/mogpl_part1_v2.py b/mogpl_part1_v2.py index 8de9960..91f408a 100644 --- a/mogpl_part1_v2.py +++ b/mogpl_part1_v2.py @@ -21,7 +21,7 @@ etc. """ def read_file(file_name): - sequences = [[], []] #première liste pour descriptions des lignes, deuxième piur description des colonnes + sequences = [[], []] #première liste pour descriptions des lignes, deuxième pour description des colonnes indice = const.LINES # d'abord, on décrit les lignes - on va remplir sequences[0] @@ -139,7 +139,7 @@ def colour_line_bis(line, line_sequence): box_before = (j-line_sequence[l]<0 or line[j-line_sequence[l]] != const.BLACK) #3) La case aprés soit n'existe pas, soit elle n'est pas coloriée au noir box_after = (line_length == j+1 or line[j+1] != const.BLACK) - #4) La rélation de récursion est bien vérifiée - on peut remplire les cases avant le début de ce bloc (et avant la case "de séparation") + #4) La relation de récursion est bien vérifiée - on peut remplire les cases avant le début de ce bloc (et avant la case "de séparation") #avec l blocs précédentes rec = (l== 0 or (j- line_sequence[l] - 1 >= 0 and T[j-line_sequence[l]-1][l])) From 0c1eca72fc07274ec45489396072333b8b372602 Mon Sep 17 00:00:00 2001 From: Batary Date: Mon, 4 Dec 2017 01:38:23 +0100 Subject: [PATCH 13/20] =?UTF-8?q?Partie=202=20fonctionelle.=20TODO=20:=20s?= =?UTF-8?q?upprimer=20des=20variables,=20puis=20mesurer=20les=20temps,=20g?= =?UTF-8?q?=C3=A9n=C3=A9rer=20les=20images,=20etc.?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit --- mogpl_part2.py | 231 +++++++++++++++++++++++++++++++++++++++++++++++++ 1 file changed, 231 insertions(+) create mode 100644 mogpl_part2.py diff --git a/mogpl_part2.py b/mogpl_part2.py new file mode 100644 index 0000000..2813ee6 --- /dev/null +++ b/mogpl_part2.py @@ -0,0 +1,231 @@ +# -*- coding: utf-8 -*- + +from gurobipy import * +import numpy as np +import matplotlib.pyplot as plt +from constants import * +import datetime +import timeit +import time + +# xij = 1 si (i,j) case noire, 0 si case blanche +# yijt = 1 si le bloc t de la ligne i commence en (i,j), 0 sinon +# zijt = 1 si le bloc t de la colonne j commence en (i,j), 0 sinon + + +# Q12 +# min z = sum(x[i, j] +# s.c. +# (pour tout i,j) +# +# x[i,j] € {0,1} +# +# sum( y[i, j, t] = 1 ) , t € [0..sli-1] +#TODO a completer + + +# Q13 +# pour t variant de 0 a nb_blocks dans la ligne/colonne : +# si sum(block[t]) + t < i : yijt = 0 +# si sum(block[t]) + t < j : zijt = 0 +# --> on peut retirer ces éléments du modèle + + + +""" +@param file_name: le nom d'un fichier contenant une instance du problème +@return sequences: une liste de deux listes. La première contient la description des lignes (une liste par ligne), + la deuxième la description des colonnes (une liste par colonne). + + Par exemple: pour l'exemple donné dans l'énoncé, la fonction renvoie + [[[3], [], [1, 1, 1], [3]], [[1, 1], [1], [1, 2], [1], [2]]] + + [3] - la première ligne contient un bloc de longueur 3 + [] - aucun bloc sur la deuxième ligne + + [1,1] - la première colonne contient deux blocs, chacun de longueur 1 + + etc. +""" + + +def read_file(file_name): + sequences = [[], []] # première liste pour descriptions des lignes, deuxième pour description des colonnes + + indice = const.LINES # d'abord, on décrit les lignes - on va remplir sequences[0] + + with open(file_name) as file: + for line in file: # pour chaque ligne du fichier + if len(line) > 0 and line[0] == '#': # on passe de la description des lignes à celle des colonnes + indice = const.COLUMNS + else: # il s'agit d'une ligne décrivant une ligne/colonne + # on transforme la ligne des caractères en une liste d'entiers, et on l'ajoute à la fin de sequences[0]/sequences[1] + sequences[indice].append(list(map(int, line.split()))) + + return sequences + + +def get_model(sequences): + m = Model("mogpl") + + # sequences des lignes et des colonnes + sl = sequences[const.LINES] + sc = sequences[const.COLUMNS] + nblines = len(sl) + nbcolumns = len(sc) + + # declaration des variables + # TODO réduire le nombre de variables + x = [] + y = [] + z = [] + for i in range(nblines): + x.append([]) + y.append([]) + z.append([]) + for j in range(nbcolumns): + # xij + x[i].append(m.addVar(vtype=GRB.BINARY, lb=0, name="x(%d,%d)" % (i, j))) + + y[i].append([]) + z[i].append([]) + + # parcours des sequences de la ligne i + for t in range(len(sl[i])): + # yijt + y[i][j].append(m.addVar(vtype=GRB.BINARY, lb=0, name="y(%d,%d,%d)" % (i, j, t))) + + # parcours des sequences de la colonne j + for t in range(len(sc[j])): + # zijt + z[i][j].append(m.addVar(vtype=GRB.BINARY, lb=0, name="z(%d,%d,%d)" % (i, j, t))) + + # contraintes + # maj du modele pour integrer les nouvelles variables + m.update() + + obj = LinExpr(); + obj = sum([x[i][j] for i in range(nblines) for j in range(nbcolumns)]) + + # definition de l'objectif + m.setObjective(obj, GRB.MINIMIZE) + + # Definition des contraintes + for i in range(nblines): + + # un bloc ne doit apparaitre qu'une seule fois sur une ligne + for t in range(len(sl[i])): + m.addConstr(sum([y[i][j][t] for j in range(nbcolumns)]) == 1) + + for j in range(nbcolumns): + + # parcours des blocs d'une ligne + for t in range(len(sl[i])): + + # le bloc t+1 doit se trouver apres le bloc t + if t + 1 < len(sl[i]): + m.addConstr(y[i][j][t] - sum([y[i][b][t + 1] for b in range(j + sl[i][t] + 1, nbcolumns)]) <= 0) + + # si le bloc t demarre a la position j, alors les cases qui suivent doivent etre noires sur la longueur du bloc + if nbcolumns >= j + sl[i][t]: + m.addConstr(y[i][j][t] - sum([x[i][j + k] for k in range(sl[i][t])]) / sl[i][t] <= 0) + else: + m.addConstr(y[i][j][t] == 0) # a enlever en retirant les variables + + # for k in range(sl[i][t]): + # # le bloc t+1 doit etre a au moins st+1 cases du bloc t + # if t + 1 < len(sl[i]) and j + k + 1 < nbcolumns: + # m.addConstr(y[i][j + k + 1][t + 1] - (1 - y[i][j][t]) <= 0) + + # parcours des blocs d'une colonne + for t in range(len(sc[j])): + + # le bloc t+1 doit se trouver apres le bloc t + if t + 1 < len(sc[j]): + m.addConstr(z[i][j][t] - sum([z[b][j][t + 1] for b in range(i + sc[j][t] + 1, nblines)]) <= 0) + + # si le bloc t demarre a la position i, alors les cases qui suivent doivent etre noires sur la longueur du bloc + if nblines >= i + sc[j][t]: + m.addConstr(z[i][j][t] - sum([x[i + k][j] for k in range(sc[j][t])]) / sc[j][t] <= 0) + else: + m.addConstr(z[i][j][t] == 0) # a enlever en retirant les variables + + # for k in range(sc[j][t]): + # # le bloc t+1 doit etre a au moins st+1 cases du bloc t + # if t + 1 < len(sc[j]) and i + k + 1 < nblines: + # m.addConstr(z[i + k + 1][j][t + 1] - (1 - z[i][j][t]) <= 0) + + for j in range(nbcolumns): + # un bloc ne doit apparaitre qu'une seule fois sur une colonne + for t in range(len(sc[j])): + m.addConstr(sum([z[i][j][t] for i in range(nblines)]) == 1) + + + # Q13 + # pour t variant de 0 a nb_blocks dans la ligne/colonne : + # si sum(block[t]) + t < i : yijt = 0 + # si sum(block[t]) + t < j : zijt = 0 + # --> on peut retirer ces éléments du modèle + + return m, x, y, z + + +def solve(m): + m.optimize() + + """ + print + 'Solution optimale:' + for j in range(2): + print + 'w%d' % j, '=', w[j].x + print + """ + + +# print('Valeur de la fonction objectif :', m.objVal) + +# affiche la figure correspondant a la solution +def printfigure(x): + nb_lines = len(x) + nb_columns = len(x[0]) + A = [[x[i][j].x for j in range(nb_columns)] for i in range(nb_lines)] + # print(x) + # print(A) + # A[0][0] = 0 + # A[0][1] = 1 + plt.imshow(A, cmap="Greys", interpolation="nearest") + # plt.rcParams["figure.figsize"] = (50,50) + ax = plt.gca() + + # Major ticks + ax.set_xticks(np.arange(0, nb_columns, 1)); + ax.set_yticks(np.arange(0, nb_lines, 1)); + + # Minor ticks + ax.set_xticks(np.arange(-.5, nb_columns, 1), minor=True); + ax.set_yticks(np.arange(-.5, nb_lines, 1), minor=True); + + ax.grid(which="minor", color='grey', linestyle='-', linewidth=2) + + plt.show() + + +# ts = time.time() +# st = datetime.datetime.fromtimestamp(ts).strftime('%Y-%m-%d-%H-%M-%S') +# plt.savefig(str(st) + "image" + str(num) + ".png") + + +m, x, y, z = (get_model(read_file("instances/1.txt"))) +solve(m) + +# for i in range(len(y)): +# for j in range(len(y[i])): +# for t in range(len(y[i][j])): +# if y[i][j][t].x != 0: print(y[i][j][t]) +# for i in range(len(z)): +# for j in range(len(z[i])): +# for t in range(len(z[i][j])): +# if z[i][j][t].x != 0: print(z[i][j][t]) + +printfigure(x) From 91700dd33346b85b7844908ec4b9d319b4b87a6c Mon Sep 17 00:00:00 2001 From: Batary Date: Wed, 6 Dec 2017 22:49:39 +0100 Subject: [PATCH 14/20] reduction des variables et ajout des contraintes du nombre de cases par ligne/colonne --- mogpl_part2.py | 52 ++++++++++++++++++++++++++++---------------------- 1 file changed, 29 insertions(+), 23 deletions(-) diff --git a/mogpl_part2.py b/mogpl_part2.py index 2813ee6..8629d1a 100644 --- a/mogpl_part2.py +++ b/mogpl_part2.py @@ -75,7 +75,6 @@ def get_model(sequences): nbcolumns = len(sc) # declaration des variables - # TODO réduire le nombre de variables x = [] y = [] z = [] @@ -86,21 +85,30 @@ def get_model(sequences): for j in range(nbcolumns): # xij x[i].append(m.addVar(vtype=GRB.BINARY, lb=0, name="x(%d,%d)" % (i, j))) - y[i].append([]) z[i].append([]) # parcours des sequences de la ligne i for t in range(len(sl[i])): # yijt - y[i][j].append(m.addVar(vtype=GRB.BINARY, lb=0, name="y(%d,%d,%d)" % (i, j, t))) + if sum(sl[i][:t]) + t <= j and sum(sl[i][t:]) + len(sl[i]) - (t+1) <= nbcolumns - j: + y[i][j].append(m.addVar(vtype=GRB.BINARY, lb=0, name="y(%d,%d,%d)" % (i, j, t))) + else: + y[i][j].append(0) # parcours des sequences de la colonne j for t in range(len(sc[j])): # zijt - z[i][j].append(m.addVar(vtype=GRB.BINARY, lb=0, name="z(%d,%d,%d)" % (i, j, t))) + if sum(sc[j][:t]) + t <= i and sum(sc[j][t:]) + len(sc[j]) - (t+1) <= nblines - i: + z[i][j].append(m.addVar(vtype=GRB.BINARY, lb=0, name="z(%d,%d,%d)" % (i, j, t))) + else: + z[i][j].append(0) + + # pour t variant de 0 a nb_blocks dans la ligne/colonne : + # si sum(block[t]) + t < i : yijt = 0 + # si sum(block[t]) + t < j : zijt = 0 + # --> on peut retirer ces éléments du modèle - # contraintes # maj du modele pour integrer les nouvelles variables m.update() @@ -113,9 +121,13 @@ def get_model(sequences): # Definition des contraintes for i in range(nblines): - # un bloc ne doit apparaitre qu'une seule fois sur une ligne for t in range(len(sl[i])): + # un bloc ne doit apparaitre qu'une seule fois sur une ligne m.addConstr(sum([y[i][j][t] for j in range(nbcolumns)]) == 1) + + # il doit y avoir le bon nombre de cases par ligne + m.addConstr(sum(x[i][:]) - sum(sl[i]) == 0) + for j in range(nbcolumns): @@ -129,8 +141,8 @@ def get_model(sequences): # si le bloc t demarre a la position j, alors les cases qui suivent doivent etre noires sur la longueur du bloc if nbcolumns >= j + sl[i][t]: m.addConstr(y[i][j][t] - sum([x[i][j + k] for k in range(sl[i][t])]) / sl[i][t] <= 0) - else: - m.addConstr(y[i][j][t] == 0) # a enlever en retirant les variables + # else: + # m.addConstr(y[i][j][t] == 0) # a enlever en retirant les variables # for k in range(sl[i][t]): # # le bloc t+1 doit etre a au moins st+1 cases du bloc t @@ -147,8 +159,8 @@ def get_model(sequences): # si le bloc t demarre a la position i, alors les cases qui suivent doivent etre noires sur la longueur du bloc if nblines >= i + sc[j][t]: m.addConstr(z[i][j][t] - sum([x[i + k][j] for k in range(sc[j][t])]) / sc[j][t] <= 0) - else: - m.addConstr(z[i][j][t] == 0) # a enlever en retirant les variables + # else: + # m.addConstr(z[i][j][t] == 0) # a enlever en retirant les variables # for k in range(sc[j][t]): # # le bloc t+1 doit etre a au moins st+1 cases du bloc t @@ -159,14 +171,11 @@ def get_model(sequences): # un bloc ne doit apparaitre qu'une seule fois sur une colonne for t in range(len(sc[j])): m.addConstr(sum([z[i][j][t] for i in range(nblines)]) == 1) - - - # Q13 - # pour t variant de 0 a nb_blocks dans la ligne/colonne : - # si sum(block[t]) + t < i : yijt = 0 - # si sum(block[t]) + t < j : zijt = 0 - # --> on peut retirer ces éléments du modèle - + + # il doit y avoir le bon nombre de cases par ligne + # print(sum(sc[j])) + m.addConstr(sum([x[i][j] for i in range(nblines)]) - sum(sc[j]) == 0) + return m, x, y, z @@ -190,10 +199,7 @@ def printfigure(x): nb_lines = len(x) nb_columns = len(x[0]) A = [[x[i][j].x for j in range(nb_columns)] for i in range(nb_lines)] - # print(x) - # print(A) - # A[0][0] = 0 - # A[0][1] = 1 + plt.imshow(A, cmap="Greys", interpolation="nearest") # plt.rcParams["figure.figsize"] = (50,50) ax = plt.gca() @@ -216,7 +222,7 @@ def printfigure(x): # plt.savefig(str(st) + "image" + str(num) + ".png") -m, x, y, z = (get_model(read_file("instances/1.txt"))) +m, x, y, z = (get_model(read_file("instances/16.txt"))) solve(m) # for i in range(len(y)): From fe25dbce9bf41316e3cad54a0c9125e40d42b423 Mon Sep 17 00:00:00 2001 From: Batary Date: Fri, 8 Dec 2017 23:14:26 +0100 Subject: [PATCH 15/20] ajout de la fonction de test (non termine mais fonctionnel sur une seule methode --- mogpl_part2.py | 175 +++++++++++++++++++++++++++++++------------------ 1 file changed, 110 insertions(+), 65 deletions(-) diff --git a/mogpl_part2.py b/mogpl_part2.py index 8629d1a..f3762d6 100644 --- a/mogpl_part2.py +++ b/mogpl_part2.py @@ -7,6 +7,11 @@ import datetime import timeit import time +import multiprocessing +from multiprocessing import Queue +import os + +from mogpl_part1_v2 import * # xij = 1 si (i,j) case noire, 0 si case blanche # yijt = 1 si le bloc t de la ligne i commence en (i,j), 0 sinon @@ -21,7 +26,7 @@ # x[i,j] € {0,1} # # sum( y[i, j, t] = 1 ) , t € [0..sli-1] -#TODO a completer +# TODO a completer # Q13 @@ -91,7 +96,7 @@ def get_model(sequences): # parcours des sequences de la ligne i for t in range(len(sl[i])): # yijt - if sum(sl[i][:t]) + t <= j and sum(sl[i][t:]) + len(sl[i]) - (t+1) <= nbcolumns - j: + if sum(sl[i][:t]) + t <= j and sum(sl[i][t:]) + len(sl[i]) - (t + 1) <= nbcolumns - j: y[i][j].append(m.addVar(vtype=GRB.BINARY, lb=0, name="y(%d,%d,%d)" % (i, j, t))) else: y[i][j].append(0) @@ -99,24 +104,24 @@ def get_model(sequences): # parcours des sequences de la colonne j for t in range(len(sc[j])): # zijt - if sum(sc[j][:t]) + t <= i and sum(sc[j][t:]) + len(sc[j]) - (t+1) <= nblines - i: + if sum(sc[j][:t]) + t <= i and sum(sc[j][t:]) + len(sc[j]) - (t + 1) <= nblines - i: z[i][j].append(m.addVar(vtype=GRB.BINARY, lb=0, name="z(%d,%d,%d)" % (i, j, t))) else: z[i][j].append(0) - - # pour t variant de 0 a nb_blocks dans la ligne/colonne : - # si sum(block[t]) + t < i : yijt = 0 - # si sum(block[t]) + t < j : zijt = 0 - # --> on peut retirer ces éléments du modèle + + # pour t variant de 0 a nb_blocks dans la ligne/colonne : + # si sum(block[t]) + t < i : yijt = 0 + # si sum(block[t]) + t < j : zijt = 0 + # --> on peut retirer ces éléments du modèle # maj du modele pour integrer les nouvelles variables m.update() - obj = LinExpr(); - obj = sum([x[i][j] for i in range(nblines) for j in range(nbcolumns)]) + # obj = LinExpr(); + # obj = sum([x[i][j] for i in range(nblines) for j in range(nbcolumns)]) # definition de l'objectif - m.setObjective(obj, GRB.MINIMIZE) + m.setObjective(0, GRB.MINIMIZE) # Definition des contraintes for i in range(nblines): @@ -124,10 +129,9 @@ def get_model(sequences): for t in range(len(sl[i])): # un bloc ne doit apparaitre qu'une seule fois sur une ligne m.addConstr(sum([y[i][j][t] for j in range(nbcolumns)]) == 1) - - # il doit y avoir le bon nombre de cases par ligne - m.addConstr(sum(x[i][:]) - sum(sl[i]) == 0) + # il doit y avoir le bon nombre de cases par ligne + m.addConstr(sum(x[i]) - sum(sl[i]) == 0) for j in range(nbcolumns): @@ -143,11 +147,6 @@ def get_model(sequences): m.addConstr(y[i][j][t] - sum([x[i][j + k] for k in range(sl[i][t])]) / sl[i][t] <= 0) # else: # m.addConstr(y[i][j][t] == 0) # a enlever en retirant les variables - - # for k in range(sl[i][t]): - # # le bloc t+1 doit etre a au moins st+1 cases du bloc t - # if t + 1 < len(sl[i]) and j + k + 1 < nbcolumns: - # m.addConstr(y[i][j + k + 1][t + 1] - (1 - y[i][j][t]) <= 0) # parcours des blocs d'une colonne for t in range(len(sc[j])): @@ -161,77 +160,123 @@ def get_model(sequences): m.addConstr(z[i][j][t] - sum([x[i + k][j] for k in range(sc[j][t])]) / sc[j][t] <= 0) # else: # m.addConstr(z[i][j][t] == 0) # a enlever en retirant les variables - - # for k in range(sc[j][t]): - # # le bloc t+1 doit etre a au moins st+1 cases du bloc t - # if t + 1 < len(sc[j]) and i + k + 1 < nblines: - # m.addConstr(z[i + k + 1][j][t + 1] - (1 - z[i][j][t]) <= 0) for j in range(nbcolumns): # un bloc ne doit apparaitre qu'une seule fois sur une colonne for t in range(len(sc[j])): m.addConstr(sum([z[i][j][t] for i in range(nblines)]) == 1) - + # il doit y avoir le bon nombre de cases par ligne - # print(sum(sc[j])) m.addConstr(sum([x[i][j] for i in range(nblines)]) - sum(sc[j]) == 0) - + return m, x, y, z -def solve(m): +# Appel rapide a la fonction de resolution en PLNE. +# Le out_q sert a renvoyer le resultat en cas d'appel avec timeout. +def algo_plne(sequences, out_q=Queue()): + m, x, y, z = (get_model(sequences)) m.optimize() - - """ - print - 'Solution optimale:' - for j in range(2): - print - 'w%d' % j, '=', w[j].x - print - """ + nb_lines = len(x) + nb_columns = len(x[0]) + A = [[x[i][j].x for j in range(nb_columns)] for i in range(nb_lines)] + out_q.put(A) + return A +# Appel rapide a la fonction de resolution en programmation dynamique. +# Le out_q sert a renvoyer le resultat en cas d'appel avec timeout. +def algo_dynamique(sequences, out_q=Queue()): + A = np.full((len(sequences), len(sequences[0])), const.NOT_COLORED) + coloration(A, sequences) + out_q.put(A) + return A -# print('Valeur de la fonction objectif :', m.objVal) # affiche la figure correspondant a la solution -def printfigure(x): - nb_lines = len(x) - nb_columns = len(x[0]) - A = [[x[i][j].x for j in range(nb_columns)] for i in range(nb_lines)] +def printfigure(A): + # nb_lines = len(x) + # nb_columns = len(x[0]) + # A = [[x[i][j].x for j in range(nb_columns)] for i in range(nb_lines)] + + print(A) plt.imshow(A, cmap="Greys", interpolation="nearest") - # plt.rcParams["figure.figsize"] = (50,50) ax = plt.gca() - # Major ticks - ax.set_xticks(np.arange(0, nb_columns, 1)); - ax.set_yticks(np.arange(0, nb_lines, 1)); - # Minor ticks - ax.set_xticks(np.arange(-.5, nb_columns, 1), minor=True); - ax.set_yticks(np.arange(-.5, nb_lines, 1), minor=True); + ax.set_xticks(np.arange(-.5, len(A[0]), 1), minor=True); + ax.set_yticks(np.arange(-.5, len(A), 1), minor=True); - ax.grid(which="minor", color='grey', linestyle='-', linewidth=2) + ax.grid(which="minor", color='grey', linestyle=':', linewidth=1) plt.show() -# ts = time.time() -# st = datetime.datetime.fromtimestamp(ts).strftime('%Y-%m-%d-%H-%M-%S') -# plt.savefig(str(st) + "image" + str(num) + ".png") - +# test des differentes methodes (passees dans un tableau) +# path : le chemin du dossier des instances +# timeout : temps en secondes (0 = aucun) +# min : le numero de la premiere instance a traiter +# max : la derniere instance +# save : booleen pour sauvegarder les images calculees +# print_image : afficher les images calculees /!| ATTENTION met en pause l'execution ! +def testMethods(path, functions, timeout=120, min=0, max=16, save=False, print_image=False): + all_times = [[] for x in range(min, max+1)] + out_q = Queue() + + for i in range(min, max + 1): + + sequences = read_file(os.path.join(path, str(i) + ".txt")) + for f in functions: + print("\nTest sur " + str(i) + ".txt : " + f.__name__ + " ...\n") + start_time = time.time() + if __name__ == '__main__': + # executer le processus en parallele + p = multiprocessing.Process(target=f, args=(sequences, out_q)) + p.start() + p.join(timeout) + + # On stoppe p s'il est trop long + if p.is_alive(): + print("\nTemps dépassé, arret du processus de l'instance " + str(i) + " (" + f.__name__ + ")") + p.terminate() + p.join() + execution_time = timeout * 1.1 # on rajoute 10% pour distinguer de ceux qui ont termine juste avant la fin + else: + execution_time = time.time() - start_time + print("\nTest terminé, temps d'execution de l'instance " + str(i) + " (" + f.__name__ + ") : " + str(execution_time) + "\n") + A = out_q.get() + + #generation de la figure + plt.imshow(A, cmap="Greys", interpolation="nearest") + ax = plt.gca() + + # Minor ticks + ax.set_xticks(np.arange(-.5, len(A[0]), 1), minor=True); + ax.set_yticks(np.arange(-.5, len(A), 1), minor=True); + + ax.grid(which="minor", color='grey', linestyle=':', linewidth=1) + + st = datetime.datetime.fromtimestamp(time.time()).strftime('%Y-%m-%d-%H-%M-%S') + + if (save): plt.savefig("image" + str(i) + "_" + f.__name__ + "_" + str(st) + ".png") + + if (print_image): plt.show() + + all_times[i].append(execution_time) -m, x, y, z = (get_model(read_file("instances/16.txt"))) -solve(m) + # generation et sauvegarde du graphe + plt.gcf().clear() + plt.plot(all_times) + + st = datetime.datetime.fromtimestamp(time.time()).strftime('%Y-%m-%d-%H-%M-%S') + plt.savefig("benchmark_all" + "_" + str(st) + ".png") + + print("\nLe graphe a été enregistré dans la racine.") # affichage d'une seule instance + plt.show() -# for i in range(len(y)): -# for j in range(len(y[i])): -# for t in range(len(y[i][j])): -# if y[i][j][t].x != 0: print(y[i][j][t]) -# for i in range(len(z)): -# for j in range(len(z[i])): -# for t in range(len(z[i][j])): -# if z[i][j][t].x != 0: print(z[i][j][t]) +# m, x, y, z = (get_model(read_file("instances/14.txt"))) +# m.optimize() +# +# printfigure(x) -printfigure(x) +testMethods("instances", [algo_plne, algo_dynamique], timeout=5, min=0, max=3, save=False, print_image=False) From 9ef4093c2617c04c60ecd38bae9bd57cf6af44c9 Mon Sep 17 00:00:00 2001 From: Batary Date: Fri, 8 Dec 2017 23:23:22 +0100 Subject: [PATCH 16/20] ajout de l'encoding --- mogpl_part1_v2.py | 5 +++-- 1 file changed, 3 insertions(+), 2 deletions(-) diff --git a/mogpl_part1_v2.py b/mogpl_part1_v2.py index e9c3576..3c321df 100644 --- a/mogpl_part1_v2.py +++ b/mogpl_part1_v2.py @@ -1,3 +1,4 @@ +# -*- coding: utf-8 -*- import numpy as np import matplotlib.pyplot as plt from constants import * @@ -220,8 +221,8 @@ def coloration(A, sequences): #Quelques testes - TODO 29.1.2017: à nettoyer/organiser -num = 10 -sequences = read_file(str(num)+".txt") +num = 0 +sequences = read_file("instances/" + str(num)+".txt") print("Contenu du fichier: ",sequences) nb_lines = len(sequences[0]) From 784450fe2f7bfe2a360318225b878ca6d3fc5fe8 Mon Sep 17 00:00:00 2001 From: Batary Date: Sat, 9 Dec 2017 01:01:25 +0100 Subject: [PATCH 17/20] finalisation de la fonction de benchmark, debut de la fontion hybride --- mogpl_part1_v2.py | 206 +++++++++++++++++++++++----------------------- mogpl_part2.py | 51 ++++++++---- mogpl_part3.py | 119 ++++++++++++++++++++++++++ 3 files changed, 257 insertions(+), 119 deletions(-) create mode 100644 mogpl_part3.py diff --git a/mogpl_part1_v2.py b/mogpl_part1_v2.py index cba6eca..daa5d63 100644 --- a/mogpl_part1_v2.py +++ b/mogpl_part1_v2.py @@ -21,19 +21,21 @@ etc. """ + + def read_file(file_name): - sequences = [[], []] #première liste pour descriptions des lignes, deuxième pour description des colonnes + sequences = [[], []] # première liste pour descriptions des lignes, deuxième pour description des colonnes - indice = const.LINES # d'abord, on décrit les lignes - on va remplir sequences[0] - - with open(file_name) as file: - for line in file: #pour chaque ligne du fichier - if len(line) > 0 and line[0] == '#': # on passe de la déscription des lignes à celle des colonnes + indice = const.LINES # d'abord, on décrit les lignes - on va remplir sequences[0] + + with open(file_name) as file: + for line in file: # pour chaque ligne du fichier + if len(line) > 0 and line[0] == '#': # on passe de la déscription des lignes à celle des colonnes indice = const.COLUMNS - else: #il s'agit d'une ligne décrivant une ligne/colonne - #on transforme la ligne des caractères en une liste des entiers, et on l'append à la fin de sequences[0]/sequences[1] - sequences[indice].append(list(map(int, line.split()))) - + else: # il s'agit d'une ligne décrivant une ligne/colonne + # on transforme la ligne des caractères en une liste des entiers, et on l'append à la fin de sequences[0]/sequences[1] + sequences[indice].append(list(map(int, line.split()))) + return sequences @@ -44,33 +46,37 @@ def read_file(file_name): @param line_sequence: la séquence des blocs avec lesquels on veut colorier la ligne @return : True si possible de colorier toute la ligne avec toutes les blocs, False sinon """ -def colour_line(line_length, line_sequence): - - #si la séquence est vide (aucun bloc), on renvoie directement True - if not line_sequence: - return True - - #sinon: - - T = np.zeros((line_length, len(line_sequence)+1)) #T[j][l] = True si possible de colorier j+1 premières cases avec l premiers blocs, False sinon - #Quelques cas de base: - for j in range(line_length): - T[j][0] = True #il est toujours possible de colorier n'importe quel nombre de cases avec 0 blocs - T[j][1] = (j >= line_sequence[0]-1) #cas où on a un seul bloc - on peut colorier la ligne avec ssi sa longueur est <= nombre de cases considérées - for l in range(2, len(line_sequence)+1): #cas où ou considère au moins 2 blocs - for j in range(line_length): - if j < sum(line_sequence[0:l]): #si la somme des longueurs des blocs est plus grand que le nombre de cases considérés, T[j][l] est fausse +def colour_line(line_length, line_sequence): + # si la séquence est vide (aucun bloc), on renvoie directement True + if not line_sequence: + return True + + # sinon: + + T = np.zeros((line_length, len( + line_sequence) + 1)) # T[j][l] = True si possible de colorier j+1 premières cases avec l premiers blocs, False sinon + + # Quelques cas de base: + for j in range(line_length): + T[j][0] = True # il est toujours possible de colorier n'importe quel nombre de cases avec 0 blocs + T[j][1] = (j >= line_sequence[ + 0] - 1) # cas où on a un seul bloc - on peut colorier la ligne avec ssi sa longueur est <= nombre de cases considérées + + for l in range(2, len(line_sequence) + 1): # cas où ou considère au moins 2 blocs + for j in range(line_length): + if j < sum(line_sequence[ + 0:l]): # si la somme des longueurs des blocs est plus grand que le nombre de cases considérés, T[j][l] est fausse T[j][l] = False - else: #sinon + else: # sinon # - soit le dernière bloc finit sur la case j+1. Dans un tel cas, T[j][l] est vraie ssi on peut faire rentrer les blocs précédents aux cases # devant le début de ce dernière bloc (il ne faut pas oublié une espace blanche entre deux blocs!) - + # - soit la dernière case est blanche. Dans ce cas, T[j][l] ssi T[j-1][l] - T[j][l] = T[j - line_sequence[l-1] -1][l-1] or T[j-1][l] + T[j][l] = T[j - line_sequence[l - 1] - 1][l - 1] or T[j - 1][l] - #On renvoie la "dernière" case du tableau indiquant si on peut colorier toute la ligne avec toute la séquence + # On renvoie la "dernière" case du tableau indiquant si on peut colorier toute la ligne avec toute la séquence return T[-1][-1] @@ -86,8 +92,9 @@ def colour_line(line_length, line_sequence): @return : True si possible de colorier toute la ligne avec toutes les blocs, False sinon """ + def colour_line_bis(line, line_sequence): - #si la séquence est vide (aucun bloc), la réponse est TRUE ssi il n'y a pas de case déjà coloriée à noir. + # si la séquence est vide (aucun bloc), la réponse est TRUE ssi il n'y a pas de case déjà coloriée à noir. if not line_sequence: return (const.BLACK not in line) @@ -97,76 +104,78 @@ def colour_line_bis(line, line_sequence): # si et seulement si la somme des cases noires est bonne if (const.NOT_COLORED not in line): return (list(line).count(const.BLACK) == sum(line_sequence)) - - #sinon: - line_length = len(line) - T = np.zeros((line_length, len(line_sequence)+1)) #T[j][l] = True si possible de colorier j+1 premières cases avec l premiers blocs, False sinon - - #Cas où on considère 0 blocs: + # sinon: + line_length = len(line) + T = np.zeros((line_length, len( + line_sequence) + 1)) # T[j][l] = True si possible de colorier j+1 premières cases avec l premiers blocs, False sinon + + # Cas où on considère 0 blocs: for j in range(line_length): - #on peut colorier j+1 premieres cases avec 0 blocs ssi il n'y a pas de case noire (qui imposerait une présence d'un bloc) - T[j][0] = const.BLACK not in line[0:j+1] + # on peut colorier j+1 premieres cases avec 0 blocs ssi il n'y a pas de case noire (qui imposerait une présence d'un bloc) + T[j][0] = const.BLACK not in line[0:j + 1] + # Cas 2a + for l in range(len(line_sequence)): # l correspond à (l+1) blocs considérés + for j in range(0, sum(line_sequence[0:l + 1]) + l - 1): + # si j est < la somme des longueurs des (l+1) blocs considérés + l (si l+1 blocs, au moins l cases de plus pour les séparer), + # les blocs ne rentrent pas - T[j][l+1] est fausse + T[j][l + 1] = False - #Cas 2a - for l in range(len(line_sequence)): #l correspond à (l+1) blocs considérés - for j in range(0, sum(line_sequence[0:l+1])+l-1): - #si j est < la somme des longueurs des (l+1) blocs considérés + l (si l+1 blocs, au moins l cases de plus pour les séparer), - #les blocs ne rentrent pas - T[j][l+1] est fausse - T[j][l+1] = False - - #Cas 2b - #si on considère un seul bloc: T[j][1] = 1 si j+1 est la longueur du bloc et il n'y a pas de cases blanches - j = line_sequence[0]-1 - T[j][1] = (const.WHITE not in line[0:j+1]) and (line_length <= line_sequence[0] or line[j+1] != const.BLACK) + # Cas 2b + # si on considère un seul bloc: T[j][1] = 1 si j+1 est la longueur du bloc et il n'y a pas de cases blanches + j = line_sequence[0] - 1 + T[j][1] = (const.WHITE not in line[0:j + 1]) and (line_length <= line_sequence[0] or line[j + 1] != const.BLACK) - #sinon, si on considère plus qu'un bloc, la réponse sera toujours FAUX - #TODO 18.11.: je trouve que cette condition est un peu redondant si on a remplacé dans Cas 2a line_sequence[l]-1 par sum(line_sequence[0:l+1])+l-1, - #ce qui est d'ailleurs beuacoup plus efficace! A vérifier et éventuellement supprimer + # sinon, si on considère plus qu'un bloc, la réponse sera toujours FAUX + # TODO 18.11.: je trouve que cette condition est un peu redondant si on a remplacé dans Cas 2a line_sequence[l]-1 par sum(line_sequence[0:l+1])+l-1, + # ce qui est d'ailleurs beuacoup plus efficace! A vérifier et éventuellement supprimer for l in range(1, len(line_sequence)): - j = line_sequence[l]-1 - T[j][l+1] = False - - #Cas 2c - on considère au moins un bloc, et j >= sum(line_sequence[0:l+1])+l-1 - for l in range(len(line_sequence)): #pour chacun des blocs l correspond à l+1 blocs considérés - for j in range(sum(line_sequence[0:l+1])+l-1, line_length): #pour toutes les valeurs de j pas encore traitées + j = line_sequence[l] - 1 + T[j][l + 1] = False + + # Cas 2c - on considère au moins un bloc, et j >= sum(line_sequence[0:l+1])+l-1 + for l in range(len(line_sequence)): # pour chacun des blocs l correspond à l+1 blocs considérés + for j in range(sum(line_sequence[0:l + 1]) + l - 1, + line_length): # pour toutes les valeurs de j pas encore traitées - #Soit le dernier bloc se termine sur la derniere case considerée : + # Soit le dernier bloc se termine sur la derniere case considerée : - #1) La derniere case ne peut pas etre blanc, ainsi que les cases precedentes qui forment le bloc: - last_black = const.WHITE not in (line[j-line_sequence[l]+1:j+1]) - #2) La case avant soit n'existe pas, soit elle n'est pas coloriée au noir. - box_before = (j-line_sequence[l]<0 or line[j-line_sequence[l]] != const.BLACK) - #3) La case aprés soit n'existe pas, soit elle n'est pas coloriée au noir - box_after = (line_length == j+1 or line[j+1] != const.BLACK) - #4) La relation de récursion est bien vérifiée - on peut remplire les cases avant le début de ce bloc (et avant la case "de séparation") - #avec l blocs précédentes - rec = (l== 0 or (j- line_sequence[l] - 1 >= 0 and T[j-line_sequence[l]-1][l])) + # 1) La derniere case ne peut pas etre blanc, ainsi que les cases precedentes qui forment le bloc: + last_black = const.WHITE not in (line[j - line_sequence[l] + 1:j + 1]) + # 2) La case avant soit n'existe pas, soit elle n'est pas coloriée au noir. + box_before = (j - line_sequence[l] < 0 or line[j - line_sequence[l]] != const.BLACK) + # 3) La case aprés soit n'existe pas, soit elle n'est pas coloriée au noir + box_after = (line_length == j + 1 or line[j + 1] != const.BLACK) + # 4) La relation de récursion est bien vérifiée - on peut remplire les cases avant le début de ce bloc (et avant la case "de séparation") + # avec l blocs précédentes + rec = (l == 0 or (j - line_sequence[l] - 1 >= 0 and T[j - line_sequence[l] - 1][l])) - #Le dernier bloc peut finir sur la case j ssi + # Le dernier bloc peut finir sur la case j ssi # - toutes les conditions 1-4 sont vérifiées # - de plus, la somme des cases noires après la case j+1 (on finit sur j, il faut pas oublier la séparation) ne dépasse pas la somme des longueurs des blocs suivants # - de plus, la somme des cases noires avant le début de ce dernier bloc ne dépasse pas la somme des longueurs des blocs précédents - ends_by_black = last_black and box_before and box_after and rec and (list(line[j+2:]).count(const.BLACK) <= sum(line_sequence[l+1:])) and (list(line[0:(j-line_sequence[l]+1)]).count(const.BLACK) <= sum(line_sequence[0:l])) + ends_by_black = last_black and box_before and box_after and rec and ( + list(line[j + 2:]).count(const.BLACK) <= sum(line_sequence[l + 1:])) and ( + list(line[0:(j - line_sequence[l] + 1)]).count(const.BLACK) <= sum(line_sequence[0:l])) - #Soit le dernier bloc se termine avant la dernière case considérée: + # Soit le dernier bloc se termine avant la dernière case considérée: # la dernière case ne peut pas être noire, on doit être capable de rentrer les blocs dans les cases précedentes # - et de plus, on calcule les cases noires avant/après de façon analogue qu'avant - ends_by_white = ((line[j] != const.BLACK) and T[j-1][l+1]) and (list(line[j+1:]).count(const.BLACK) <= sum(line_sequence[l+1:])) and (list(line[0:j]).count(const.BLACK) <= sum(line_sequence[0:l+1])) + ends_by_white = ((line[j] != const.BLACK) and T[j - 1][l + 1]) and ( + list(line[j + 1:]).count(const.BLACK) <= sum(line_sequence[l + 1:])) and ( + list(line[0:j]).count(const.BLACK) <= sum(line_sequence[0:l + 1])) - #ENFIN, T[j][l+1] vrai si au moins une des deux confgurations ci-dessus possible - T[j][l+1] = (ends_by_white or ends_by_black) - + # ENFIN, T[j][l+1] vrai si au moins une des deux confgurations ci-dessus possible + T[j][l + 1] = (ends_by_white or ends_by_black) + return T[-1][-1] def coloration(A, sequences): lines_to_see = [i for i in range(len(A))] columns_to_see = [i for i in range(len(A[0]))] - - while lines_to_see or columns_to_see: for i in lines_to_see: new_to_see = [] @@ -174,10 +183,10 @@ def coloration(A, sequences): can_colour = [False, False] if A[i][j] == const.NOT_COLORED: A[i][j] = const.WHITE - can_colour[const.WHITE] = colour_line_bis(A[i], sequences[const.LINES][i]) + can_colour[const.WHITE] = colour_line_bis(A[i], sequences[const.LINES][i]) A[i][j] = const.BLACK - can_colour[const.BLACK] = colour_line_bis(A[i], sequences[const.LINES][i]) - + can_colour[const.BLACK] = colour_line_bis(A[i], sequences[const.LINES][i]) + if (can_colour[const.WHITE]) and (not can_colour[const.BLACK]): A[i][j] = const.WHITE new_to_see += [j] @@ -187,8 +196,8 @@ def coloration(A, sequences): elif (can_colour[const.WHITE]) and (can_colour[const.BLACK]): A[i][j] = const.NOT_COLORED else: - return null #pas de solution - + return None # pas de solution + columns_to_see = list(set().union(columns_to_see, new_to_see)) lines_to_see = [] @@ -199,9 +208,9 @@ def coloration(A, sequences): can_colour = [False, False] if A[i][j] == const.NOT_COLORED: A[i][j] = const.WHITE - can_colour[const.WHITE] = colour_line_bis(np.transpose(A)[j], sequences[const.COLUMNS][j]) + can_colour[const.WHITE] = colour_line_bis(np.transpose(A)[j], sequences[const.COLUMNS][j]) A[i][j] = const.BLACK - can_colour[const.BLACK] = colour_line_bis(np.transpose(A)[j], sequences[const.COLUMNS][j]) + can_colour[const.BLACK] = colour_line_bis(np.transpose(A)[j], sequences[const.COLUMNS][j]) if (can_colour[const.WHITE]) and (not can_colour[const.BLACK]): A[i][j] = const.WHITE new_to_see += [i] @@ -211,41 +220,30 @@ def coloration(A, sequences): elif (can_colour[const.WHITE]) and (can_colour[const.BLACK]): A[i][j] = const.NOT_COLORED else: - return null #pas de solution + return None # pas de solution lines_to_see = list(set().union(lines_to_see, new_to_see)) columns_to_see = [] - - return A + + return A -#Quelques testes - TODO 29.1.2017: à nettoyer/organiser +''' num = 0 sequences = read_file("instances/" + str(num)+".txt") -print("Contenu du fichier: ",sequences) +#print("Contenu du fichier: ",sequences) nb_lines = len(sequences[0]) nb_columns = len(sequences[1]) A = np.full((nb_lines, nb_columns), const.NOT_COLORED) -"""A = np.array([[ 0, 0, 0, 1, 1], - [ 1, 1, 1, -1, -1], - [ 0, 1, 0, 1, 0], - [ 1, -1, 0, 0, -1]])""" + start_time = timeit.default_timer() coloration(A, sequences) elapsed = timeit.default_timer() - start_time print("Temps d'execution: ",elapsed) -#T = colour_line(nb_columns, sequences[0][2]) -#print(T) - - - -#pour visualiser la coloriage - utile peut être dans la suite, le test ici ne donne pas de sens, -#c'était juste pour comprendre comment peut-on faire se genre de graphique... - -#plt.subplot(211) +# Affichage de la figure plt.imshow(A, cmap = "Greys", interpolation = "nearest") #plt.rcParams["figure.figsize"] = (50,50) ax = plt.gca() @@ -269,3 +267,5 @@ def coloration(A, sequences): line = [-1 for i in range(nb_columns)] line[3] = const.BLACK print(colour_line_bis(line, sequences[0][2])) + +''' \ No newline at end of file diff --git a/mogpl_part2.py b/mogpl_part2.py index f3762d6..02cb674 100644 --- a/mogpl_part2.py +++ b/mogpl_part2.py @@ -12,6 +12,7 @@ import os from mogpl_part1_v2 import * +from mogpl_part3 import * # xij = 1 si (i,j) case noire, 0 si case blanche # yijt = 1 si le bloc t de la ligne i commence en (i,j), 0 sinon @@ -183,10 +184,11 @@ def algo_plne(sequences, out_q=Queue()): out_q.put(A) return A + # Appel rapide a la fonction de resolution en programmation dynamique. # Le out_q sert a renvoyer le resultat en cas d'appel avec timeout. def algo_dynamique(sequences, out_q=Queue()): - A = np.full((len(sequences), len(sequences[0])), const.NOT_COLORED) + A = np.full((len(sequences[0]), len(sequences[1])), const.NOT_COLORED) coloration(A, sequences) out_q.put(A) return A @@ -194,11 +196,7 @@ def algo_dynamique(sequences, out_q=Queue()): # affiche la figure correspondant a la solution def printfigure(A): - # nb_lines = len(x) - # nb_columns = len(x[0]) - # A = [[x[i][j].x for j in range(nb_columns)] for i in range(nb_lines)] - - print(A) + # print(A) plt.imshow(A, cmap="Greys", interpolation="nearest") ax = plt.gca() @@ -220,7 +218,7 @@ def printfigure(A): # save : booleen pour sauvegarder les images calculees # print_image : afficher les images calculees /!| ATTENTION met en pause l'execution ! def testMethods(path, functions, timeout=120, min=0, max=16, save=False, print_image=False): - all_times = [[] for x in range(min, max+1)] + all_times = [[] for x in range(min, max + 1)] out_q = Queue() for i in range(min, max + 1): @@ -237,16 +235,23 @@ def testMethods(path, functions, timeout=120, min=0, max=16, save=False, print_i # On stoppe p s'il est trop long if p.is_alive(): - print("\nTemps dépassé, arret du processus de l'instance " + str(i) + " (" + f.__name__ + ")") + print("\nTemps dépassé, arret du processus de l'instance " + str(i) + " (" + f.__name__ + ")") p.terminate() p.join() execution_time = timeout * 1.1 # on rajoute 10% pour distinguer de ceux qui ont termine juste avant la fin else: execution_time = time.time() - start_time - print("\nTest terminé, temps d'execution de l'instance " + str(i) + " (" + f.__name__ + ") : " + str(execution_time) + "\n") + print( + "\nTest terminé, temps d'execution de l'instance " + str(i) + " (" + f.__name__ + ") : " + str( + execution_time) + "\n") A = out_q.get() - #generation de la figure + # test de la validite du resultat + if any(A[l][c] == const.NOT_COLORED for l in range(len(A)) for c in range(len(A[0]))): + print("La solution n'est pas valide.\n") + execution_time = timeout * 1.1 + + # generation de la figure plt.imshow(A, cmap="Greys", interpolation="nearest") ax = plt.gca() @@ -262,21 +267,35 @@ def testMethods(path, functions, timeout=120, min=0, max=16, save=False, print_i if (print_image): plt.show() - all_times[i].append(execution_time) - + all_times[i - min].append(execution_time) + # generation et sauvegarde du graphe plt.gcf().clear() - plt.plot(all_times) + # plt.plot(all_times) + # line_up, = plt.plot([1, 2, 3], label='Line 2') + # line_down, = plt.plot([3, 2, 1], label='Line 1') + # plt.legend(handles=[line_up, line_down]) + + lines = [[] for f in range(len(functions))] + for f in range(len(functions)): + lines[f], = plt.plot([all_times[i][f] for i in range(len(all_times))], label=functions[f].__name__) + plt.legend(handles=lines) st = datetime.datetime.fromtimestamp(time.time()).strftime('%Y-%m-%d-%H-%M-%S') plt.savefig("benchmark_all" + "_" + str(st) + ".png") - print("\nLe graphe a été enregistré dans la racine.") # affichage d'une seule instance + print("\nLe graphe a été enregistré dans le répertoire courant.") # affichage d'une seule instance plt.show() + +# Ancienne methode pour avoir une instance + # m, x, y, z = (get_model(read_file("instances/14.txt"))) # m.optimize() -# +# nb_lines = len(x) +# nb_columns = len(x[0]) +# A = [[x[i][j].x for j in range(nb_columns)] for i in range(nb_lines)] # printfigure(x) -testMethods("instances", [algo_plne, algo_dynamique], timeout=5, min=0, max=3, save=False, print_image=False) +# Test global de toutes les methodes avec toutes les instances +testMethods("instances", [algo_plne, algo_dynamique], timeout=120, min=0, max=16, save=True, print_image=False) diff --git a/mogpl_part3.py b/mogpl_part3.py new file mode 100644 index 0000000..01e708a --- /dev/null +++ b/mogpl_part3.py @@ -0,0 +1,119 @@ +# -*- coding: utf-8 -*- + +from gurobipy import * +import numpy as np +import matplotlib.pyplot as plt +from constants import * +import time +import multiprocessing +from multiprocessing import Queue + +#TODO a terminer + +# Algorithme tentant d'abord la resolution par programmation dynamique, puis la resolution en PLNE avec la valeur de retour. +# Le out_q sert a renvoyer le resultat en cas d'appel avec timeout. +def algo_hybride(sequences, out_q=Queue()): + m = Model("mogpl") + + # sequences des lignes et des colonnes + sl = sequences[const.LINES] + sc = sequences[const.COLUMNS] + nblines = len(sl) + nbcolumns = len(sc) + + # declaration des variables + x = [] + y = [] + z = [] + for i in range(nblines): + x.append([]) + y.append([]) + z.append([]) + for j in range(nbcolumns): + # xij + x[i].append(m.addVar(vtype=GRB.BINARY, lb=0, name="x(%d,%d)" % (i, j))) + y[i].append([]) + z[i].append([]) + + # parcours des sequences de la ligne i + for t in range(len(sl[i])): + # yijt + if sum(sl[i][:t]) + t <= j and sum(sl[i][t:]) + len(sl[i]) - (t + 1) <= nbcolumns - j: + y[i][j].append(m.addVar(vtype=GRB.BINARY, lb=0, name="y(%d,%d,%d)" % (i, j, t))) + else: + y[i][j].append(0) + + # parcours des sequences de la colonne j + for t in range(len(sc[j])): + # zijt + if sum(sc[j][:t]) + t <= i and sum(sc[j][t:]) + len(sc[j]) - (t + 1) <= nblines - i: + z[i][j].append(m.addVar(vtype=GRB.BINARY, lb=0, name="z(%d,%d,%d)" % (i, j, t))) + else: + z[i][j].append(0) + + # pour t variant de 0 a nb_blocks dans la ligne/colonne : + # si sum(block[t]) + t < i : yijt = 0 + # si sum(block[t]) + t < j : zijt = 0 + # --> on peut retirer ces éléments du modèle + + # maj du modele pour integrer les nouvelles variables + m.update() + + # obj = LinExpr(); + # obj = sum([x[i][j] for i in range(nblines) for j in range(nbcolumns)]) + + # definition de l'objectif + m.setObjective(0, GRB.MINIMIZE) + + # Definition des contraintes + for i in range(nblines): + + for t in range(len(sl[i])): + # un bloc ne doit apparaitre qu'une seule fois sur une ligne + m.addConstr(sum([y[i][j][t] for j in range(nbcolumns)]) == 1) + + # il doit y avoir le bon nombre de cases par ligne + m.addConstr(sum(x[i]) - sum(sl[i]) == 0) + + for j in range(nbcolumns): + + # parcours des blocs d'une ligne + for t in range(len(sl[i])): + + # le bloc t+1 doit se trouver apres le bloc t + if t + 1 < len(sl[i]): + m.addConstr(y[i][j][t] - sum([y[i][b][t + 1] for b in range(j + sl[i][t] + 1, nbcolumns)]) <= 0) + + # si le bloc t demarre a la position j, alors les cases qui suivent doivent etre noires sur la longueur du bloc + if nbcolumns >= j + sl[i][t]: + m.addConstr(y[i][j][t] - sum([x[i][j + k] for k in range(sl[i][t])]) / sl[i][t] <= 0) + # else: + # m.addConstr(y[i][j][t] == 0) # a enlever en retirant les variables + + # parcours des blocs d'une colonne + for t in range(len(sc[j])): + + # le bloc t+1 doit se trouver apres le bloc t + if t + 1 < len(sc[j]): + m.addConstr(z[i][j][t] - sum([z[b][j][t + 1] for b in range(i + sc[j][t] + 1, nblines)]) <= 0) + + # si le bloc t demarre a la position i, alors les cases qui suivent doivent etre noires sur la longueur du bloc + if nblines >= i + sc[j][t]: + m.addConstr(z[i][j][t] - sum([x[i + k][j] for k in range(sc[j][t])]) / sc[j][t] <= 0) + # else: + # m.addConstr(z[i][j][t] == 0) # a enlever en retirant les variables + + for j in range(nbcolumns): + # un bloc ne doit apparaitre qu'une seule fois sur une colonne + for t in range(len(sc[j])): + m.addConstr(sum([z[i][j][t] for i in range(nblines)]) == 1) + + # il doit y avoir le bon nombre de cases par ligne + m.addConstr(sum([x[i][j] for i in range(nblines)]) - sum(sc[j]) == 0) + + m.optimize() + nb_lines = len(x) + nb_columns = len(x[0]) + A = [[x[i][j].x for j in range(nb_columns)] for i in range(nb_lines)] + out_q.put(A) + return A From c55c47f4b12bb00673f7a88500bd33d8a9ae3fa3 Mon Sep 17 00:00:00 2001 From: kilpikonna Date: Sat, 9 Dec 2017 12:25:49 +0100 Subject: [PATCH 18/20] Finalisation (?) de la fonction hybride MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit Ajout de la phase pretraitement ainsi que la mise à jour du programme linéaire après le pretraitement. Ajout d'un import mogpl_part2 pour pouvoir utiliser la fonction algo_dynamique (mais il faudrait mieux diviser le code - mettre les fonctions en commun dans un autre fichier, et les appeler à partir des mogpl_partx, x = 1,2,3). --- mogpl_part3.py | 12 ++++++++++++ 1 file changed, 12 insertions(+) diff --git a/mogpl_part3.py b/mogpl_part3.py index 01e708a..abf26c7 100644 --- a/mogpl_part3.py +++ b/mogpl_part3.py @@ -8,6 +8,8 @@ import multiprocessing from multiprocessing import Queue +from mogpl_part2 import * + #TODO a terminer # Algorithme tentant d'abord la resolution par programmation dynamique, puis la resolution en PLNE avec la valeur de retour. @@ -110,6 +112,16 @@ def algo_hybride(sequences, out_q=Queue()): # il doit y avoir le bon nombre de cases par ligne m.addConstr(sum([x[i][j] for i in range(nblines)]) - sum(sc[j]) == 0) + + #Pretraitement par l'algorithme dynamique: + pre = algo_dynamique(sequences, out_q) + + #Ajout des contraintes pour fixer les valeurs des x[i][j] trouvées lors d'un pretraitement + for i in range(len(pre)): + for j in range(len(pre[0])): + #Si la case a été coloriée lors de pretraitement: + if pre[i][j] != const.NOT_COLORED: + m.addConstr(x[i][j] == pre[i][j]) #on fixe sa valeur à l'aide d'une contrainte m.optimize() nb_lines = len(x) From 86977356660b4e8bf147b3e7c7d27e77389c5953 Mon Sep 17 00:00:00 2001 From: Batary Date: Sun, 10 Dec 2017 11:12:58 +0100 Subject: [PATCH 19/20] correction de l'algo hybride. On peut eventuellement l'ameliorer en changeant les variables au lieu des contraintes. --- mogpl_part2.py | 8 ++------ mogpl_part3.py | 5 +++-- 2 files changed, 5 insertions(+), 8 deletions(-) diff --git a/mogpl_part2.py b/mogpl_part2.py index 02cb674..ed389b0 100644 --- a/mogpl_part2.py +++ b/mogpl_part2.py @@ -227,6 +227,7 @@ def testMethods(path, functions, timeout=120, min=0, max=16, save=False, print_i for f in functions: print("\nTest sur " + str(i) + ".txt : " + f.__name__ + " ...\n") start_time = time.time() + execution_time = timeout * 1.1 # on rajoute 10% pour distinguer de ceux qui ont termine juste avant la fin if __name__ == '__main__': # executer le processus en parallele p = multiprocessing.Process(target=f, args=(sequences, out_q)) @@ -238,7 +239,6 @@ def testMethods(path, functions, timeout=120, min=0, max=16, save=False, print_i print("\nTemps dépassé, arret du processus de l'instance " + str(i) + " (" + f.__name__ + ")") p.terminate() p.join() - execution_time = timeout * 1.1 # on rajoute 10% pour distinguer de ceux qui ont termine juste avant la fin else: execution_time = time.time() - start_time print( @@ -271,10 +271,6 @@ def testMethods(path, functions, timeout=120, min=0, max=16, save=False, print_i # generation et sauvegarde du graphe plt.gcf().clear() - # plt.plot(all_times) - # line_up, = plt.plot([1, 2, 3], label='Line 2') - # line_down, = plt.plot([3, 2, 1], label='Line 1') - # plt.legend(handles=[line_up, line_down]) lines = [[] for f in range(len(functions))] for f in range(len(functions)): @@ -298,4 +294,4 @@ def testMethods(path, functions, timeout=120, min=0, max=16, save=False, print_i # printfigure(x) # Test global de toutes les methodes avec toutes les instances -testMethods("instances", [algo_plne, algo_dynamique], timeout=120, min=0, max=16, save=True, print_image=False) +testMethods("instances", [algo_plne, algo_dynamique, algo_hybride], timeout=5, min=0, max=16, save=False, print_image=False) diff --git a/mogpl_part3.py b/mogpl_part3.py index abf26c7..dfe8200 100644 --- a/mogpl_part3.py +++ b/mogpl_part3.py @@ -8,7 +8,7 @@ import multiprocessing from multiprocessing import Queue -from mogpl_part2 import * +from mogpl_part1_v2 import coloration #TODO a terminer @@ -114,7 +114,8 @@ def algo_hybride(sequences, out_q=Queue()): m.addConstr(sum([x[i][j] for i in range(nblines)]) - sum(sc[j]) == 0) #Pretraitement par l'algorithme dynamique: - pre = algo_dynamique(sequences, out_q) + pre = np.full((len(sequences[0]), len(sequences[1])), const.NOT_COLORED) + coloration(pre, sequences) #Ajout des contraintes pour fixer les valeurs des x[i][j] trouvées lors d'un pretraitement for i in range(len(pre)): From 91bf38a6dea8a02df68dd5757c1741e8489a77b2 Mon Sep 17 00:00:00 2001 From: kilpikonna Date: Sun, 10 Dec 2017 19:17:43 +0100 Subject: [PATCH 20/20] =?UTF-8?q?Am=C3=A9lioration=20de=20la=20fonction=20?= =?UTF-8?q?hybride?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit Modifications des variables au liea d'ajout des contraintes. --- mogpl_part3.py | 8 +++++--- 1 file changed, 5 insertions(+), 3 deletions(-) diff --git a/mogpl_part3.py b/mogpl_part3.py index dfe8200..8158c8c 100644 --- a/mogpl_part3.py +++ b/mogpl_part3.py @@ -117,12 +117,14 @@ def algo_hybride(sequences, out_q=Queue()): pre = np.full((len(sequences[0]), len(sequences[1])), const.NOT_COLORED) coloration(pre, sequences) - #Ajout des contraintes pour fixer les valeurs des x[i][j] trouvées lors d'un pretraitement + #On fixe la valeur des cases déterminées: for i in range(len(pre)): for j in range(len(pre[0])): #Si la case a été coloriée lors de pretraitement: - if pre[i][j] != const.NOT_COLORED: - m.addConstr(x[i][j] == pre[i][j]) #on fixe sa valeur à l'aide d'une contrainte + if pre[i][j] == const.BLACK: #pour la case noire + x[i][j].LB = const.BLACK #on fixe la borne inférieure de la variable correspondante à 1 + elif pre[i][j] == const.WHITE: #pour la case blanche + x[i][j].UB = const.WHITE #on fixe la borne supérieure de la variable correspondante à 0 m.optimize() nb_lines = len(x)