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["entête","Utilisation d'un algorithme génétique pour recopier une image","Le problème","La fonction d'évaluation le calcul","La fonction d'évaluation calcul de la note finale","La fonction mariage","L'initialisation","La boucle","Le suivi 1","Le suivi 2","Conclusion","Annexe : les différents paramètres et options","Les fonctions","L'initialisation",null,"Référence à xlstore","Référence"]
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["texte","L'objectif de ce classeur est de vous montrer un exemple de l'utilisation de l'outil xlstore pour utiliser un algorithme génétique.\r\nPour cela, excel-store doit être installée et le programme doit y faire référence.\r\nPour poser le problème, on doit coder une solution sous forme de texte dont on doit déterminer la taille et l'alphabet.\r\nUn algorithme génétique doit contenir une fonction d'évaluation pour pouvoir choisir les meilleures solutions.\r\nEnfin, il faut déterminer une population de départ et la procédure d'évolution, c'est pour cette partie qu'on utilisera la macro complémentaire.","Il s'agit dans cet exemple de créer une image qui restitue le plus fidèlement un tableau de 26*26 avec un dégradé de 26 valeurs. Pour cela, on va dans notre toile de 26*26 mettre 100 carreaux de 3*3 unis un peu à la manière impressioniste.\r\n26 permet de coder sur un alphabet de A à Z.\r\nOn va mettre les valeurs dans chaque cellule et utiliser une plage de cellule qui va faire la différence. C'est la somme de ces écarts qui va être notre fonction à optimiser. La fonction d'évaluation d'un individu va consister à le dessiner et à récupérer le résultat de la cellule.\r\npour dessiner un rectangle de 3*3, on va partir d'un texte de 3 caractères : ligne/colonne/valeur. Chaque valeur étant trouvée par la place de la lettre dans l'alphabet.","Chaque image est un ensemble de valeurs entre 1 et 26. En faisant la soustraction avec l'image originale on obtient un écart (on prend uniquement la valeur absolue). la somme de ces écarts donne le résultat à optimiser. Comme on veut diminuer les écarts et que l'outil est conçu pour augmenter un résultat, on va multiplier par -1 pour compenser.\r\nLe tableau des écarts met en orange les zones où l'écart est le plus fort.\r\nPour dessiner un point on prend son code sur trois caractères et on utilise la procédure suivante :\r\n\r\nSub dessine_points(ByVal point)\r\n  Dim ligne, colonne, valeur\r\n  ligne = InStr(1, \"ABCDEFGHIJKLMNOPQRSTUVWXYZ\", Mid(point, 1, 1))\r\n  colonne = InStr(1, \"ABCDEFGHIJKLMNOPQRSTUVWXYZ\", Mid(point, 2, 1))\r\n  valeur = InStr(1, \"ABCDEFGHIJKLMNOPQRSTUVWXYZ\", Mid(point, 3, 1))\r\n  Range(\"image\").Cells(ligne, colonne).Resize(3, 3).Value = valeur\r\nEnd Sub\r\n","Pour trouver le résultat, on va dessiner toute l'image et récupérer le résultat qui aura été calculé :\r\n  Function peint_individu(Optional ByVal texte)\r\n  Dim longueur\r\n  longueur = Int(Len(texte) / 3)\r\n  Application.ScreenUpdating = False\r\n  Range(\"image\").ClearContents\r\n  Dim i\r\n  For i = 1 To longueur - 1\r\n    dessine_points Mid(texte, (i - 1) * 3 + 1, 3)\r\n  Next\r\n  Application.ScreenUpdating = True\r\n  ActiveSheet.Calculate\r\n  peint_individu = Range(\"ecarts\").Value\r\nEnd Function ","Notre fonction mariage par défaut consiste à prendre un caractère de l'un ou l'autre des parents pour créer un nouvel individu. Dans notre cas cela peut avoir comme conséquence de prendre la couleur d'un carré situé à un endroit pour la mettre dans un carré situé à un autre endroit par exemple. Cela ne correspond pas bien à ce que l'on peut concevoir. On peut préférer une fonction qui prenne soit un carré d'un parent soit celui de l'autre parent. Donc au lieu d'échanger 1 caractère, on va en échanger 3.\r\nCe qui donne la fonction suivante :\r\nFunction Enfant_personnalise(parentA, parentB)\r\n  Dim longueur, Texte\r\n  Texte = parentA\r\n  longueur = Int(Len(Texte) / 3)\r\n  Dim i\r\n  For i = 1 To longueur\r\n    If Rnd > 0.5 Then\r\n      Mid(Texte, (i - 1) * 3 + 1, 3) = Mid(parentB, (i - 1) * 3 + 1, 3)\r\n    End If\r\n  Next\r\n  Enfant_personnalise = Texte\r\nEnd Function\r\n","Pour initialiser la population, on utilise des outils de xlstore.xlam en particulier l'objet algorithme_genetique auquel on a accès grâce à la référence que l'on a faite en vba. L'initialisation des paramètres se fait via la fonction initialise_parametres où l'on indique 3 informations :\r\nla fonction d'évaluation ici \"valeur_peint_individu\"\r\nles caractères autorisés ici l'alphabet : AZERTYUIOPQSDFGHJKLMWXCVBN\r\nle nombre de chromosomes ici ça va être la longueur du parcours ici on va prendre 10 carrés par ligne et par colonne soit 100 carrés chacun définis chacun par 3 paramètres soit 300 caractères.\r\nLe nombre d'individus ici est changé à 60 par rapport à la valeur par défaut qui est 40.\r\n\r\nSub initialise_image()\r\n  Dim ag As XLSTORE.Algorithme_genetique\r\n  Set ag = XLSTORE.New_Algorithme_genetique\r\n  ag.initialise_parametres Fonction_d_evaluation:=\"'\" & ActiveWorkbook.Name & \"'!peint_individu\"\r\n  ag.initialise_parametres lettres_possibles:=\"AZERTYUIOPQSDFGHJKLMWXCVBN\", nombre_de_chromosomes:=3 * 100, Nombre_d_individus:=60\r\n  ag.Initialise_Population\r\n  Range(\"ax30\").Resize(60, 2).Value = ag.Population\r\n  peint_individu Range(\"ay30\").Value\r\nEnd Sub\r\n","Nous ajoutons notre fonction personnalisée :\r\n  ag.initialise_parametres fonction_mariage:=\"'\" & ActiveWorkbook.Name & \"'!Enfant_personnalise\"\r\n\r\nLa boucle a besoin des paramètres de la population : inscrits dans cette ligne :\r\n  ag.initialise_parametres , , 60, 15, 30, 5, 0\r\n60 individus / 15 enfants / 30 mutants / taux mutation 5% / 0 génération spontanée\r\nOn utilise importe population pour récupérer des individus sur la feuille, la plage indiquée doit avoir le nombre de lignes correspondant au nombre d'individus de la population et les individus doivent être valables. Dans ce cas, la fonction renvoie \r\n\"Récupération OK pour 60 individus.\r\n\r\nSub copie_image()\r\n  Dim ag As XLSTORE.Algorithme_genetique, reponse\r\n  Set ag = XLSTORE.New_Algorithme_genetique\r\n  ag.initialise_parametres Fonction_d_evaluation:=\"'\" & ActiveWorkbook.Name & \"'!peint_individu\"\r\n  ag.initialise_parametres fonction_mariage:=\"'\" & ActiveWorkbook.Name & \"'!Enfant_personnalise\"\r\n  ag.initialise_parametres , , 60, 15, 30, 5, 0\r\n  ag.initialise_parametres lettres_possibles:=\"AZERTYUIOPQSDFGHJKLMWXCVBN\", nombre_de_chromosomes:=3 * 100\r\n  reponse = ag.Importe_population(Range(\"ay30\").Resize(60, 1))\r\n  If Not reponse Like \"*OK*\" Then MsgBox reponse, vbCritical, \"Fin\": Exit Sub\r\n  ag.Boucle_n_generations Range(\"nb_boucle_parcours\").Value\r\n  Range(\"ax30\").Resize(60, 2) = ag.Population\r\n  peint_individu Range(\"ay30\").Value\r\nEnd Sub","Les algorithmes génétiques peuvent durer longtemps suivant le nombre de boucles choisi.\r\nPour gérer cela le programme a ce que l'on a vu depuis le début c'est à dire la sauvegarde de la population sur la feuille pour pouvoir reprendre plus tard.\r\nIl y a aussi la barre de progression dans la barre d'état d'excel.","Deux autres outils peuvent être utiles. En premier on peut indiquer une limite au temps de travail. C'est à dire ici, le programme sortira au bout de 10 minutes de boucle même si le nombre de boucles prévu n'est pas atteint.\r\n  ag.Boucle_n_generations Range(\"nb_tours\").Value, , , 10\r\nAutre outil de suivi, la copie des variations :\r\n  ag.Boucle_n_generations Range(\"nb_tours\").Value, , , 10, \"mesures_peinture\"\r\n'Mesures_peinture' est le nom d'une feuille dans laquelle sont répertoriées colonnes A,B et C toutes les meilleures valeurs trouvées ainsi que la génération où elles ont été trouvées.\r\nCela peut vous permettre d'estimer ce que l'on peut attendre comme résultat. ","Une troisième application des algorithmes génétiques via l'outil xlstore.xlam\r\nToujours la même simplicité de programmation avec en plus la possibilité de personnaliser la fonction de mariage, la limitation dans le temps de la procédure et le suivi de l'amélioration du résultat sur une feuille.","Les premières options sont modifiées via l'appel à la procédure initialise_parametres\r\nLes options concernant les paramètres \"génétiques\"\r\nl'alphabet \"lettres_possibles\" par exemple \"01\" \"gdhb\" \"abcdefghijklmnopqrstuvwxyz \"\r\nla longueur du chromosome  \"nombre_de_chromosomes\"\r\nLes options concernant la population :\r\nNombre d'individus\r\nnombre d'enfants\r\nnombre de mutants\r\ntaux de mutation (% de chance qu'un caractère change)\r\nnombre de génération spontané (individus créés au hasard comme dans l'initialisation)","Il faut définir les fonctions à utiliser :\r\nune fonction obligatoire l'évaluation d'une population\r\ndeux fonctions facultatives \r\nune fonction de mutation qui reçoit 2 arguments l'individu à traiter et le taux de mutation à utiliser\r\nune fonction de mariage qui reçoit 2 arguments parent A et parent B\r\nListe de tous les paramètres de la procédure : initialise_parametres\r\nOn peut l'appeler plusieurs fois pour changer la valeur d'un ou plusieurs paramètre\r\nFonction_d_evaluation, nombre_de_chromosomes, Nombre_d_individus, nombre_d_enfants, nombre_de_mutations, taux_de_mutation, nombre_de_generation_spontanee, lettres_possibles, fonction_mariage, fonction_mutation","L'initialisation se fait de deux façons différentes \r\nau hasard via la fonction initialise_population\r\nen récupérant une ancienne population qui est dans une plage de cellules d'une colonne et n lignes n=population. on utilise pour cela la fonction recupere_population.\r\ncette fonction fait le travail en récupérant et évaluant la population de départ et renvoie Ok\r\n",null,"Dans l'éditeur visual basic, vous choisissez votre projet qui n'a pas encore la référence puis vous allez dans le menu outils/références.","Il vous suffit maintenant de cocher xlstore dans la liste des références disponibles. Si la macro complémentaire est installée, la référence sera dans la liste."]
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["Texte entré"]