From 7944ad3af2d9fe56715b1dfcb0a5224782c2071a Mon Sep 17 00:00:00 2001 From: =?UTF-8?q?Lo=C3=AFc=20Wikle=20DUBARD?= <loic97429@gmail.com> Date: Fri, 10 Jan 2020 23:46:20 +0100 Subject: [PATCH] =?UTF-8?q?j'avais=20oubli=C3=A9=20les=20mli?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit --- Makefile | 16 +- README.md | 18 +- doc/rapport.aux | 30 ++ doc/rapport.log | 902 +++++++++++++++++++++++++++++++++++++++++ doc/rapport.out | 2 + doc/rapport.pdf | Bin 0 -> 158696 bytes doc/rapport.synctex.gz | Bin 0 -> 12330 bytes doc/rapport.tex | 78 ++++ doc/rapport.toc | 7 + src/main_phase1.ml | 2 +- src/phase1.ml | 63 ++- src/phase1.mli | 49 +++ src/phase2.ml | 32 +- src/phase2.mli | 42 ++ src/test_phase1.ml | 4 + 15 files changed, 1226 insertions(+), 19 deletions(-) create mode 100644 doc/rapport.aux create mode 100644 doc/rapport.log create mode 100644 doc/rapport.out create mode 100644 doc/rapport.pdf create mode 100644 doc/rapport.synctex.gz create mode 100644 doc/rapport.tex create mode 100644 doc/rapport.toc create mode 100644 src/phase1.mli create mode 100644 src/phase2.mli diff --git a/Makefile b/Makefile index 4c7a5f7..2cda6e1 100644 --- a/Makefile +++ b/Makefile @@ -13,17 +13,17 @@ all: main tests tests: test_phase1.out test_phase2.out -phase1: src/phase1.ml src/main_phase1.ml - (cd src ; ocamlc -o ../build/$@ phase1.ml main_phase1.ml) +phase1: src/phase1.mli src/phase1.ml src/main_phase1.ml + (cd src ; ocamlc -o ../build/$@ phase1.mli phase1.ml main_phase1.ml) -phase2: src/phase2.ml src/main_phase2.ml - (cd src ; ocamlc -o ../build/$@ phase2.ml main_phase2.ml) +phase2: src/phase2.mli src/phase2.ml src/main_phase2.ml + (cd src ; ocamlc -o ../build/$@ phase2.mli phase2.ml main_phase2.ml) -test_phase1.out: src/phase1.ml src/test_phase1.ml - (cd src ; ocamlc -o ../build/$@ phase1.ml test_phase1.ml) +test_phase1.out: src/phase1.mli src/phase1.ml src/test_phase1.ml + (cd src ; ocamlc -o ../build/$@ phase1.mli phase1.ml test_phase1.ml) -test_phase2.out: src/phase1.ml src/test_phase1.ml - (cd src ; ocamlc -o ../build/$@ phase2.ml test_phase2.ml) +test_phase2.out: src/phase2.mli src/phase1.ml src/test_phase1.ml + (cd src ; ocamlc -o ../build/$@ phase2.mli phase2.ml test_phase2.ml) clean: rm -rf *.cmi *.cmo diff --git a/README.md b/README.md index 316098b..9658091 100644 --- a/README.md +++ b/README.md @@ -1,3 +1,19 @@ # IPF-S3 - Le but de ce projet est de maximiser le flux de café entre le bar de l'ENSIIE (considéré idéalement comme une source infinie de café) et le bureau de M. Forest (considéré effectivement comme un puits infini de café). \ No newline at end of file + Le but de ce projet est de maximiser le flux de café entre le bar de l'ENSIIE (considéré idéalement comme une source infinie de café) et le bureau de M. Forest (considéré effectivement comme un puits infini de café). + + ## Compilation + +Pour tout compiler (phase1, phase2, tests phase1, tests phase2): `make` +pour nettoyer les fichiers de compilation : `make clean` +pour compiler uniquement la phase 1 (par exemple) `make phase1` +pour compiler uniquement les tests de la phase 1 (par ex) : `make tests_phase1.out` +pour compiler juste les tests : `make tests` + +## Utilisation + +Exemple d'utilisation de la phase 1 sur un fichier de test +`build/phase1 phase1/input.txt` +La sortie sera affichée sur la sortie standard. +Exemple d'utilisation de la phase 1 sur un fichier de test +`build/phase2 phase2/input.txt` diff --git a/doc/rapport.aux b/doc/rapport.aux new file mode 100644 index 0000000..3824538 --- /dev/null +++ b/doc/rapport.aux @@ -0,0 +1,30 @@ +\relax +\providecommand\hyper@newdestlabel[2]{} +\bbl@beforestart +\catcode `:\active +\catcode `;\active +\catcode `!\active +\catcode `?\active 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+\usepackage{lmodern} +\usepackage[french]{babel} +\selectlanguage{french} +\usepackage{amsmath} +\usepackage{float} +\usepackage{amssymb} +\usepackage{hyperref} +\usepackage{xcolor} +\usepackage{graphicx} +\usepackage[a4paper]{geometry} +\usepackage{minted} +\usepackage{listings} + +\hypersetup{ + colorlinks, + linkcolor={red!50!black}, + citecolor={blue!50!black}, + urlcolor={blue!80!black} +} +\author{Loïc DUBARD} +\title{Rapport du projet de programmation fonctionnelle 2 : \\ + \textbf{Trafic de café pour Mr Forest}} + +\begin{document} + \maketitle + \tableofcontents + \clearpage + \section*{Introduction} + (Extrait du sujet)\\ + + Le but de ce projet est de maximiser le flux de café entre le bar de l'ENSIIE (considéré idéalement comme une source infinie de café) et le bureau de M. Forest (considéré effectivement comme un puits infini de café).\\ + + Dans le monde moderne de l'enseignement en école d'ingénieur nécessite de maximiser ce flux pour des raisons évidentes. Votre projet se développera en plusieurs étapes :\\ + + \begin{itemize} + \item dans un premier temps, étant donnée une représentation adaptée du plan de l'école, vous chercherez les chemins les plus rapides (les plus courts), de la source au puits,\\ + \item dans un second temps, après avoir pris en compte la capacité des différents couloirs et escaliers, vous chercherez à trouver un moyen de maximiser le flux possible de café. Votre programme disposera d'un temps fini pour répondre. + \end{itemize} + +\section{Phase 1 : les plus courts chemins} + + +Pour la phase 1, je code tout dans src/phase1.ml. Je choisi de faire une map de set pour modéliser le graphe dans cette partie, d'où la création des modules Graphe, Clesliste et le type graph de cette manière : +\begin{verbatim} + module Graphe = Map.Make(String) + module Clesliste = Set.Make(String) + type graph = Clesliste.t Graphe.t +\end{verbatim} + +Ensuite, j'ai besoin de lire le fichier donné en argument. La doc de Ocaml me donne les fonctions open\_in et input\_line. \\ + +Je commence par lire les 3 premières ligne du fichier, la première me donne la chaine de caractères correspondant à la source, la deuxième celle du puits, enfin la troisième ligne correspond au nombre de chemin élémentaires donc au nombre de lignes qui suivent (je le note n ici).\\ + +\paragraph{make\_graphe n channel : } + Puis avec la fonction récursive make\_graphe qui prends en argument ce nombre n et le channel d'entrée et je remplie le graphe initialisé à 'empty' au fur et à mesure que je lis les lignes suivantes du fichier, en m'arrêtant quand j'arrive à n=0.\\ + + \paragraph{chemins s g : } N'ayant pas pris le cours de graphe au S3, pour trouver le plus court chemin de source à puits, j'ai choisi d'implémenter naïvement un algorithme qui liste tous les chemins qui partent de s dans le graphe g. Cette fonction retourne une liste de listes de sommets (string). \\ + Le principe est simple : récursivement pour un sommet s donné, rajoute s à chaque chemin de la liste les chemins partant de chacun de ces successeurs. Si cette liste est vide crée une liste de liste composée uniquement de s.\\ + + \paragraph{plus\_court\_chemins s p c : } Enfin je filtre la liste (notée c ici) pour ne garder que les chemins partant de s et arrivant en p et je calcul le minimum des longueurs de tous les chemins noté m ici. Cette fonction retourne alors la liste des chemins de longueur égale à m. + + Pour l'affichage j'utilise la fonction List.iter sur la liste obtenue en faisant un String.concat " " elt sur chaque élément. + +\section{Phase 2 : maximiser le flux} + +Pour cette phase, j'ai choisi d'utiliser une map de map pour modéliser le graphe : +\begin{verbatim} + module Graphe = Map.Make(String) + module Arreteliste = Map.Make(String) + type arreteliste_t = int Arreteliste.t + type graphe_t = arreteliste Graphe.t +\end{verbatim} + + +\end{document} diff --git a/doc/rapport.toc b/doc/rapport.toc new file mode 100644 index 0000000..4b8512d --- /dev/null +++ b/doc/rapport.toc @@ -0,0 +1,7 @@ +\babel@toc {french}{} +\babel@toc {french}{} +\contentsline {section}{\numberline {1}Phase 1 : les plus courts chemins}{2}{section.1}% +\contentsline {paragraph}{make\_graphe n channel : }{2}{section*.3}% +\contentsline {paragraph}{chemins s g : }{2}{section*.4}% +\contentsline {paragraph}{plus\_court\_chemins s p c : }{3}{section*.5}% +\contentsline {section}{\numberline {2}Phase 2 : maximiser le flux}{3}{section.2}% diff --git a/src/main_phase1.ml b/src/main_phase1.ml index 0caa91e..c28ccf5 100644 --- a/src/main_phase1.ml +++ b/src/main_phase1.ml @@ -29,4 +29,4 @@ let _ = in let liste_result = plus_courts_chemins source puits liste_chemins in - List.map f liste_result \ No newline at end of file + List.iter f liste_result \ No newline at end of file diff --git a/src/phase1.ml b/src/phase1.ml index a10b224..741c5fe 100644 --- a/src/phase1.ml +++ b/src/phase1.ml @@ -4,11 +4,63 @@ *) (* - * définition du type graphe qui est une map de liste dont les clés sont des string + * définition du type graphe qui est une map de liste dont les clés sont des strings *) -module Graphe = Map.Make(String) -module Clesliste = Set.Make(String) +(* module type Graphe = +sig + type key = String.t + type t = string Map.Make(String).t + val empty : t + val mem : key -> t -> bool + val add : key -> string -> t -> t + val iter : (key -> string -> unit) -> t -> unit + val fold : (key -> string -> 'b -> 'b) -> t -> 'b -> 'b + val find : key -> t -> string +end +module type MySet = +sig + type t = Set.Make(String).t + type elt = String.t + val empty : t + val elements : t -> elt list + val add : elt -> t -> t +end +module MakeGraph () = +struct + type key = String.t + type t = string Map.Make(String).t + let empty = Graph.empty + let mem = Graph.mem + let add = Graph.add + let iter = Graph.iter + let fold = Graph.fold + let find = Graph.find +end +*) +module Graphe : +sig + type key = String.t + type 'a t = 'a Map.Make(String).t + val empty : 'a t + val mem : key -> 'a t -> bool + val add : key -> 'a -> 'a t -> 'a t + val iter : (key -> 'a -> unit) -> 'a t -> unit + val fold : (key -> 'a -> 'b -> 'b) -> 'a t -> 'b -> 'b + val find : key -> 'a t -> 'a + val remove : key -> 'a t -> 'a t +end = Map.Make(String) + +module Clesliste : +sig + type t = Set.Make(String).t + type elt = String.t + val empty : t + val elements : t -> elt list + val add : elt -> t -> t +end = Set.Make(String) + +type graphe_t = Clesliste.t Graphe.t (* * [make_graphe n] @@ -24,9 +76,8 @@ let rec make_graphe n file = let g = make_graphe (n-1) file in if (Graphe.mem a g) - then let l = Graphe.find a g in - let f = Graphe.remove a g in - Graphe.add a (Clesliste.add b l) f + then let l = Graphe.find a g in + Graphe.add a (Clesliste.add b l) g else Graphe.add a (Clesliste.add b (Clesliste.empty)) g | _ -> failwith("erreur dans le graphe !") diff --git a/src/phase1.mli b/src/phase1.mli new file mode 100644 index 0000000..19afce5 --- /dev/null +++ b/src/phase1.mli @@ -0,0 +1,49 @@ +(* + * fichier : phase1.mli + * auteur : dubard loïc + *) + + module Graphe : + sig + type key = String.t + type 'a t = 'a Map.Make(String).t + val empty : 'a t + val mem : key -> 'a t -> bool + val add : key -> 'a -> 'a t -> 'a t + val iter : (key -> 'a -> unit) -> 'a t -> unit + val fold : (key -> 'a -> 'b -> 'b) -> 'a t -> 'b -> 'b + val find : key -> 'a t -> 'a + val remove : key -> 'a t -> 'a t + end + +module Clesliste : +sig + type t = Set.Make(String).t + type elt = String.t + val empty : t + val elements : t -> elt list + val add : elt -> t -> t +end + +type graphe_t = Clesliste.t Graphe.t +(* + * [make_graphe n] + * @ensures : retourne le "graphe" à n arrètes correspondant au fichier ouvert dans le channel file + *) + val make_graphe : int -> in_channel -> graphe_t + + (* + * [liste_sommets g] + * @ensures : la listes des clés du graphe g + *) + val liste_sommets : graphe_t -> Clesliste.t + +(* + * [chemins s g] donne la liste de tous les chemins du graphe g partants de s, un chemin étant une liste de sommets + *) + val chemins : string -> graphe_t -> string list list + + (* + * [plus_court_chemin s p c] renvoie la liste des plus courts chemins de s à p de la liste de chemins c + *) +val plus_courts_chemins : string -> string -> string list list -> string list list \ No newline at end of file diff --git a/src/phase2.ml b/src/phase2.ml index eb7bab0..6a59bfa 100644 --- a/src/phase2.ml +++ b/src/phase2.ml @@ -6,9 +6,35 @@ (* * définition du type graphe qui est une map de liste dont les clés sont des string *) -module Graphe = Map.Make(String) -module Arreteliste = Map.Make(String) - +module Graphe : +sig + type key = String.t + type 'a t = 'a Map.Make(String).t + val empty : 'a t + val mem : key -> 'a t -> bool + val add : key -> 'a -> 'a t -> 'a t + val iter : (key -> 'a -> unit) -> 'a t -> unit + val fold : (key -> 'a -> 'b -> 'b) -> 'a t -> 'b -> 'b + val find : key -> 'a t -> 'a + val remove : key -> 'a t -> 'a t +end = Map.Make(String) + +module Arreteliste : +sig + type key = String.t + type 'a t = 'a Map.Make(String).t + val empty : 'a t + val mem : key -> 'a t -> bool + val add : key -> 'a -> 'a t -> 'a t + val iter : (key -> 'a -> unit) -> 'a t -> unit + val fold : (key -> 'a -> 'b -> 'b) -> 'a t -> 'b -> 'b + val find : key -> 'a t -> 'a + val remove : key -> 'a t -> 'a t +end = Map.Make(String) + + +type arreteliste_t = int Arreteliste.t +type graphe_t = arreteliste_t Graphe.t (* * [make_graphe n] diff --git a/src/phase2.mli b/src/phase2.mli new file mode 100644 index 0000000..419f170 --- /dev/null +++ b/src/phase2.mli @@ -0,0 +1,42 @@ +module Graphe : + sig + type key = String.t + type 'a t = 'a Map.Make(String).t + val empty : 'a t + val mem : key -> 'a t -> bool + val add : key -> 'a -> 'a t -> 'a t + val iter : (key -> 'a -> unit) -> 'a t -> unit + val fold : (key -> 'a -> 'b -> 'b) -> 'a t -> 'b -> 'b + val find : key -> 'a t -> 'a + val remove : key -> 'a t -> 'a t + end + +module Arreteliste : +sig + type key = String.t + type 'a t = 'a Map.Make(String).t + val empty : 'a t + val mem : key -> 'a t -> bool + val add : key -> 'a -> 'a t -> 'a t + val iter : (key -> 'a -> unit) -> 'a t -> unit + val fold : (key -> 'a -> 'b -> 'b) -> 'a t -> 'b -> 'b + val find : key -> 'a t -> 'a + val remove : key -> 'a t -> 'a t +end + +type arreteliste_t = int Arreteliste.t +type graphe_t = arreteliste_t Graphe.t + +val make_graphe : int -> in_channel -> int Arreteliste.t Graphe.t +val liste_sommets : 'a Arreteliste.t -> Arreteliste.key list +val chemins : Graphe.key -> 'a Arreteliste.t Graphe.t -> Graphe.key list list +val filtre : 'a -> 'a -> 'a list list -> 'a list list +val capacite : Arreteliste.key list -> 'a Arreteliste.t Graphe.t -> 'a +val graphe_capacites_residuelles : Graphe.key list -> int -> int Arreteliste.t Graphe.t -> int Arreteliste.t Graphe.t +val indice_chemin_max : Arreteliste.key list list -> 'a Arreteliste.t Graphe.t -> int -> int -> 'a -> int +val remove_from_list : int -> 'a list -> 'a list +val liste_sommets_graphe : 'a Graphe.t -> Graphe.key list +val reverse_graphe : int Arreteliste.t Graphe.t -> int Arreteliste.t Graphe.t -> Graphe.key list -> int Arreteliste.t Graphe.t +val flot_maximal : Graphe.key list list -> int Arreteliste.t Graphe.t -> int Arreteliste.t Graphe.t +val debit_maximal : int Arreteliste.t Graphe.t -> Graphe.key -> int +val nb_arrete : 'a Arreteliste.t Graphe.t -> int diff --git a/src/test_phase1.ml b/src/test_phase1.ml index d630c61..bd8cf1f 100644 --- a/src/test_phase1.ml +++ b/src/test_phase1.ml @@ -6,4 +6,8 @@ let puits = input_line file (* 2eme ligne *) let n = int_of_string (input_line file) + + + + let g = make_graphe n file \ No newline at end of file -- GitLab