From 710298150e134c78c1a466df774d2254460795c4 Mon Sep 17 00:00:00 2001 From: Quentin Legot Date: Fri, 26 Feb 2021 11:54:26 +0100 Subject: [PATCH 1/3] added arguments support + improved isOver + fixed State.play + refactored a bit Main and MainStats --- src/othello/Main.java | 56 +++++++++++++++++----- src/othello/MainStats.java | 40 +++++----------- src/othello/Point.java | 7 +-- src/othello/State.java | 36 +++++++------- statsj1.txt | 97 ++++++++++++++------------------------ statsj2.txt | 94 +++++++++++++----------------------- 6 files changed, 150 insertions(+), 180 deletions(-) diff --git a/src/othello/Main.java b/src/othello/Main.java index 094c7f2..cdd468c 100644 --- a/src/othello/Main.java +++ b/src/othello/Main.java @@ -1,19 +1,20 @@ package othello; import java.io.FileNotFoundException; -import java.io.PrintWriter; import java.io.UnsupportedEncodingException; import othello.players.AlphaBetaPlayer; +import othello.players.NegamaxPlayer; import othello.players.Player; public class Main { - public static void main(String[] args) throws FileNotFoundException, UnsupportedEncodingException { - Player p1 = new AlphaBetaPlayer(4); - Player p2 = new AlphaBetaPlayer(4); - Player[][] board = initialize(p1, p2); + public static void main(String[] args) { + Player[] players = extractArgs(args); + Player p1 = players[0]; + Player p2 = players[1]; + Player[][] board = initializeBoard(p1, p2); State game = new State(board, p1, p2); System.out.println("joueur 1: " + p1); System.out.println("joueur 2: " + p2); @@ -22,15 +23,38 @@ public class Main { System.out.println(game.toString()); game = game.play(player.play(game)); } - System.out.println(game.toString()); - System.out.println(game.getN1()+" "+ game.getN2()); - System.out.println(game.getWinner() + " a gagné la partie"); - System.out.println("Score joueur 1 -> " + game.getN1()); - System.out.println("Score joueur 2 -> "+ game.getN2()); + endGame(game); } + + public static Player[] extractArgs(String[] args) { + Player p1; + Player p2; + int depthP1 = 4; + int depthP2 = 4; + boolean useAlphaBeta = false; + try { + if(args.length >= 3) { // les paramètres > 3 sont ignorés + depthP1 = Integer.parseInt(args[0]); + depthP2 = Integer.parseInt(args[1]); + useAlphaBeta = Boolean.parseBoolean(args[2]); + } + } catch (NumberFormatException e) { + System.out.println("Les arguments de lancement ne pas corrects (pas des nombres entiers)"); + System.out.println("Utilisation des paramètres par défaut ( 4 4 true )"); + } finally { + if(useAlphaBeta) { + p1 = new AlphaBetaPlayer(depthP1); + p2 = new AlphaBetaPlayer(depthP2); + } else { + p1 = new NegamaxPlayer(depthP1); + p2 = new NegamaxPlayer(depthP2); + } + } + return new Player[]{p1, p2}; + } - public static Player[][] initialize(Player p1, Player p2){ + public static Player[][] initializeBoard(Player p1, Player p2){ Player[][] board = new Player[7][7]; board[0][0] = p2; board[0][6] = p1; @@ -38,5 +62,13 @@ public class Main { board[6][6] = p2; return board; } - + + public static void endGame(State game) { + System.out.println(game.toString()); + System.out.println(game.getN1()+" "+ game.getN2()); + System.out.println(game.getWinner() + " a gagné la partie"); + System.out.println("Score joueur 1 -> " + game.getN1()); + System.out.println("Score joueur 2 -> "+ game.getN2()); + } + } diff --git a/src/othello/MainStats.java b/src/othello/MainStats.java index ce0a310..bfac4a7 100644 --- a/src/othello/MainStats.java +++ b/src/othello/MainStats.java @@ -1,8 +1,8 @@ package othello; -import java.io.FileNotFoundException; +import java.io.IOException; import java.io.PrintWriter; -import java.io.UnsupportedEncodingException; +import java.nio.charset.StandardCharsets; import othello.players.AlphaBetaPlayer; import othello.players.Player; @@ -10,46 +10,32 @@ import othello.players.Player; public class MainStats { - public static void main(String[] args) throws FileNotFoundException, UnsupportedEncodingException { - Player p1 = new AlphaBetaPlayer(1); - Player p2 = new AlphaBetaPlayer(5); - Player[][] board = initialize(p1, p2); + public static void main(String[] args) throws IOException { + Player[] players = Main.extractArgs(args); + Player p1 = players[0]; + Player p2 = players[1]; + Player[][] board = Main.initializeBoard(p1, p2); State game = new State(board, p1, p2); System.out.println("joueur 1: " + p1); System.out.println("joueur 2: " + p2); int tour = 1; // Pour le rapport - PrintWriter writer = new PrintWriter("statsj1.txt", "UTF-8"); - PrintWriter writer2 = new PrintWriter("statsj2.txt", "UTF-8"); + PrintWriter writer = new PrintWriter("statsj1.txt", StandardCharsets.UTF_8); + PrintWriter writer2 = new PrintWriter("statsj2.txt", StandardCharsets.UTF_8); while(!game.isOver()) { Player player = game.getCurrentPlayer(); System.out.println(game.toString()); game = game.play(player.play(game)); - if(tour%2 == 0) { + + if(tour % 2 == 0) writer2.println(player.getComplexity()); - } - else { + else writer.println(player.getComplexity()); - } tour++; } writer.close(); writer2.close(); - System.out.println(game.toString()); - System.out.println(game.getN1()+" "+ game.getN2()); - System.out.println(game.getWinner() + " a gagné la partie"); - System.out.println("Score joueur 1 -> " + game.getN1()); - System.out.println("Score joueur 2 -> "+ game.getN2()); - - } - - public static Player[][] initialize(Player p1, Player p2){ - Player[][] board = new Player[7][7]; - board[0][0] = p2; - board[0][6] = p1; - board[6][0] = p1; - board[6][6] = p2; - return board; + Main.endGame(game); } } diff --git a/src/othello/Point.java b/src/othello/Point.java index 8763411..d34b6a0 100644 --- a/src/othello/Point.java +++ b/src/othello/Point.java @@ -4,8 +4,8 @@ import othello.players.Player; public class Point { - private int x; - private int y; + private final int x; + private final int y; public Point(int y, int x) { this.x = x; @@ -13,7 +13,8 @@ public class Point { } public boolean isJump(Point other, Player[][] board) { - return (board[(x+other.getX())/2][(y+other.getY())/2] != null); + double value = Math.pow(other.x - this.x, 2) + Math.pow(other.y - this.y, 2); + return (value == 4 || value == 8) && board[(x+other.getX())/2][(y+other.getY())/2] != null; } public int getX(){ diff --git a/src/othello/State.java b/src/othello/State.java index a827b57..25e5a8c 100644 --- a/src/othello/State.java +++ b/src/othello/State.java @@ -7,7 +7,7 @@ import java.util.List; public class State { - public static List previousSituations = new LinkedList<>(); + public static List previousSituations = new LinkedList<>(); private final Player[][] board; private final Player player1; @@ -26,7 +26,7 @@ public class State { } public boolean isOver() { - return n1 == 0 || n2 == 0 || (getMove(player1).isEmpty() && getMove(player2).isEmpty()); + return n1 == 0 || n2 == 0 || (getMove(player1).isEmpty() && getMove(player2).isEmpty()) || previousSituations.contains(this.board); } public LinkedList> getMove(Player player) { @@ -61,10 +61,12 @@ public class State { public int getScore(Player player) { return player == player1 ? (n1/(n1+n2)) : (n2/(n1+n2)); } - public int getN1(){ + + public int getN1() { return this.n1; } - public int getN2(){ + + public int getN2() { return this.n2; } @@ -77,23 +79,25 @@ public class State { } public State play(Pair move) { + if(previousSituations.size() == 10) // on ne garde que les 10 dernieres situations par soucis de perfs + previousSituations.remove(0); + previousSituations.add(board); State copy = this.copy(); boolean isJump = move.getLeft().isJump(move.getRight(), copy.board); copy.board[move.getRight().getY()][move.getRight().getX()] = copy.currentPlayer; if (isJump) { copy.board[move.getLeft().getY()][move.getLeft().getX()] = null; - copy.board[(move.getLeft().getY() + move.getRight().getY()) / 2][(move.getLeft().getX() + move.getRight().getX()) / 2] = copy.currentPlayer; - } else { - for (int i = -1; i < 2; i++) { - for (int z = -1; z < 2; z++) { - try { - if(copy.board[move.getRight().getY() + i][move.getRight().getX() + z] != null) - copy.board[move.getRight().getY() + i][move.getRight().getX() + z] = copy.currentPlayer; - } catch (IndexOutOfBoundsException ignored) {} - } + } + for (int i = -1; i < 2; i++) { + for (int z = -1; z < 2; z++) { + try { + if(copy.board[move.getRight().getY() + i][move.getRight().getX() + z] != null) + copy.board[move.getRight().getY() + i][move.getRight().getX() + z] = copy.currentPlayer; + } catch (IndexOutOfBoundsException ignored) {} } } + int ni = 0, nj = 0; for (Player[] players : copy.board) { for (Player player : players) { @@ -133,10 +137,7 @@ public class State { public void switchPlayer() { setCurrentPlayer(getCurrentPlayer() == this.player1 ? player2 : player1); } - - /** - * TODO: display the current state of the board - */ + @Override public String toString() { StringBuilder str = new StringBuilder(); @@ -154,6 +155,7 @@ public class State { } return str.toString(); } + @Override public boolean equals(Object state) { boolean bool; diff --git a/statsj1.txt b/statsj1.txt index 021ccfa..b605cd6 100644 --- a/statsj1.txt +++ b/statsj1.txt @@ -1,67 +1,42 @@ 6 16 29 -44 -66 -90 +41 +55 +74 +92 111 -142 -168 -195 -221 -249 -287 -327 -362 -393 -424 -461 -494 -527 -563 -607 -638 -671 -706 +134 +157 +194 +215 +234 +263 +298 +352 +382 +401 +415 +430 +452 +480 +517 +561 +605 +647 +688 +717 737 -766 -797 -827 +756 +769 +790 +820 +838 854 -886 -915 -940 -969 -992 -1023 -1053 -1091 -1125 -1165 -1196 -1234 -1274 -1313 -1348 -1386 -1424 -1462 -1501 -1538 -1579 -1615 -1654 -1684 -1710 -1742 -1767 -1791 -1810 -1836 -1856 -1875 -1895 -1905 -1914 -1922 -1928 +864 +878 +891 +904 +914 +927 +934 diff --git a/statsj2.txt b/statsj2.txt index ce2cc9a..130ef28 100644 --- a/statsj2.txt +++ b/statsj2.txt @@ -1,67 +1,41 @@ 6 16 28 -37 46 -56 -65 -75 -86 -107 -121 -133 -149 -172 -194 -206 -234 -254 -272 -295 -319 -338 -357 -378 -409 -435 -465 -495 +60 +74 +91 +103 +129 +150 +166 +201 +226 +245 +257 +269 +307 +355 +402 +438 +466 +497 +511 523 -551 -577 -605 -630 +531 +537 +553 +576 +595 +624 +640 654 -681 +664 +673 +679 +690 +701 709 -735 -757 -785 -800 -825 -836 -849 -867 -875 -891 -905 -921 -936 -951 -961 -983 -1003 -1020 -1036 -1047 -1061 -1075 -1084 -1098 -1112 -1120 -1123 -1128 -1136 -1139 -1146 +717 +721 +727 From b2e97e1dc83e2042bdfa6a1f19d09f8f620034a9 Mon Sep 17 00:00:00 2001 From: Quentin Legot Date: Fri, 26 Feb 2021 14:26:54 +0100 Subject: [PATCH 2/3] comment code --- src/othello/Main.java | 20 +++++++++++++++----- src/othello/MainStats.java | 2 +- src/othello/Point.java | 6 ++++++ src/othello/State.java | 24 +++++++++++++++++++++++- src/othello/players/AlphaBetaPlayer.java | 7 +++++++ src/othello/players/NegamaxPlayer.java | 7 +++++++ src/othello/players/Player.java | 5 +++++ 7 files changed, 64 insertions(+), 7 deletions(-) diff --git a/src/othello/Main.java b/src/othello/Main.java index cdd468c..1b14ff0 100644 --- a/src/othello/Main.java +++ b/src/othello/Main.java @@ -23,16 +23,26 @@ public class Main { System.out.println(game.toString()); game = game.play(player.play(game)); } - endGame(game); + endGame(game, p1, p2); } + /** + * The method will interpret the arguments and return a {@link Player} instance depending on the arguments given + *
  • argument 0 {@code int}: player 1 depth search
  • + *
  • argument 1 {@code int}: player 2 depth search
  • + *
  • argument 2 {@code boolean}: true if player should be {@link AlphaBetaPlayer} instance, + * {@link NegamaxPlayer} otherwise
+ * If arguments are missing or invalid, default value will be use {@code (4, 4, true)} + * @param args program arguments, given when user write the command to execute the program + * @return Player 1 and 2 instance + */ public static Player[] extractArgs(String[] args) { Player p1; Player p2; int depthP1 = 4; int depthP2 = 4; - boolean useAlphaBeta = false; + boolean useAlphaBeta = true; try { if(args.length >= 3) { // les paramètres > 3 sont ignorés depthP1 = Integer.parseInt(args[0]); @@ -63,12 +73,12 @@ public class Main { return board; } - public static void endGame(State game) { + public static void endGame(State game, Player p1, Player p2) { System.out.println(game.toString()); System.out.println(game.getN1()+" "+ game.getN2()); System.out.println(game.getWinner() + " a gagné la partie"); - System.out.println("Score joueur 1 -> " + game.getN1()); - System.out.println("Score joueur 2 -> "+ game.getN2()); + System.out.println("Score joueur 1 -> " + game.getScore(p1)); + System.out.println("Score joueur 2 -> "+ game.getScore(p2)); } } diff --git a/src/othello/MainStats.java b/src/othello/MainStats.java index bfac4a7..f1663d8 100644 --- a/src/othello/MainStats.java +++ b/src/othello/MainStats.java @@ -35,7 +35,7 @@ public class MainStats { } writer.close(); writer2.close(); - Main.endGame(game); + Main.endGame(game, p1, p2); } } diff --git a/src/othello/Point.java b/src/othello/Point.java index d34b6a0..160eb59 100644 --- a/src/othello/Point.java +++ b/src/othello/Point.java @@ -12,6 +12,12 @@ public class Point { this.y = y; } + /** + * check if {@code other} point is considered as jump + * @param other arrival point + * @param board current {@link State} situation + * @return {@code true} if other is considered as a jump depending of {@code this}, {@code false} otherwise + */ public boolean isJump(Point other, Player[][] board) { double value = Math.pow(other.x - this.x, 2) + Math.pow(other.y - this.y, 2); return (value == 4 || value == 8) && board[(x+other.getX())/2][(y+other.getY())/2] != null; diff --git a/src/othello/State.java b/src/othello/State.java index 25e5a8c..523aebd 100644 --- a/src/othello/State.java +++ b/src/othello/State.java @@ -7,6 +7,11 @@ import java.util.List; public class State { + /** + * Contains previous situations of the {@link State#board}, if the game return in a situation which have already + * been played, the game ends. + * We only keep the 10 previous situations due to performances issues + */ public static List previousSituations = new LinkedList<>(); private final Player[][] board; @@ -26,9 +31,18 @@ public class State { } public boolean isOver() { - return n1 == 0 || n2 == 0 || (getMove(player1).isEmpty() && getMove(player2).isEmpty()) || previousSituations.contains(this.board); + return n1 == 0 || n2 == 0 || (getMove(player1).isEmpty() && getMove(player2).isEmpty()) + || previousSituations.contains(this.board); } + /** + * The method check every possible movement which can do {@code player}'s pawns and add the movement in a list when + * there is no-one on the {@link State#board board}. the left side of the {@link Pair tuple} contains the position + * where the pawn currently is and the right side the position where it can go by cloning itself or jumping over an + * other pawn + * @param player the player whose possible movements will be checked + * @return a {@link LinkedList list} containing every movement which can do {@code player} in this current situation + */ public LinkedList> getMove(Player player) { // Pair LinkedList> moves = new LinkedList<>(); @@ -78,6 +92,14 @@ public class State { return null; } + /** + * The method create a copy of itself and modify this copy depending on the {@code move} parameter, it'll clone or jump + * a pawn from the left side of {@code move} to the right side, switch current player and recalculate players' score + * @param move a {@link Pair tuple} containing 2 elements, + * the left side contains the starting point (where is the point) + * and the right side contains the point where it'll clone or jump + * @return a modified copy of the current situation + */ public State play(Pair move) { if(previousSituations.size() == 10) // on ne garde que les 10 dernieres situations par soucis de perfs previousSituations.remove(0); diff --git a/src/othello/players/AlphaBetaPlayer.java b/src/othello/players/AlphaBetaPlayer.java index d12a9b4..c9d780b 100644 --- a/src/othello/players/AlphaBetaPlayer.java +++ b/src/othello/players/AlphaBetaPlayer.java @@ -10,6 +10,13 @@ public class AlphaBetaPlayer extends Player{ super(depth); } + /** + * This method will find the best move to try to win the game by searching all possible movement given by + * {@link State#getMove(Player)} in the limit of {@link Player#depth} + * @see AlphaBetaPlayer#alphabeta(State, int, int, int) + * @see Player#play(State) + * @see NegamaxPlayer#play(State) + */ @Override public Pair play(State game) { int bestValue = Integer.MIN_VALUE; diff --git a/src/othello/players/NegamaxPlayer.java b/src/othello/players/NegamaxPlayer.java index 82698ad..bad836c 100644 --- a/src/othello/players/NegamaxPlayer.java +++ b/src/othello/players/NegamaxPlayer.java @@ -10,6 +10,13 @@ public class NegamaxPlayer extends Player { super(depth); } + /** + * This method will find the best move to try to win the game by searching all possible movement given by + * {@link State#getMove(Player)} in the limit of {@link Player#depth} + * @see NegamaxPlayer#negamax(State, int) + * @see AlphaBetaPlayer#play(State) + * @see Player#play(State) + */ @Override public Pair play(State game) { int bestValue = Integer.MIN_VALUE; diff --git a/src/othello/players/Player.java b/src/othello/players/Player.java index 8d7fdaf..a02b131 100644 --- a/src/othello/players/Player.java +++ b/src/othello/players/Player.java @@ -18,6 +18,11 @@ public abstract class Player { return this.complexity; } + /** + * @param board current {@link State} situation + * @return a {@link Pair tuple} with on the left side the starting point of a pawn and on the right side the arrival + * point + */ public abstract Pair play(State board); protected int evaluate(State game){ From 94340c8a0557af618ab96108179d8c4b7114d82b Mon Sep 17 00:00:00 2001 From: Quentin Legot Date: Sun, 28 Feb 2021 11:43:56 +0100 Subject: [PATCH 3/3] added META-INF + rapport --- Rapport/AlphaBetaPlayer.java | 29 +++++ Rapport/NegamaxPlayer.java | 27 +++++ Rapport/Rapport.tex | 181 ++++++++++++++++++++++++++++- Rapport/prof1alphabeta.png | Bin 0 -> 71881 bytes Rapport/prof1negamax.png | Bin 0 -> 90547 bytes Rapport/prof2alphabeta.png | Bin 0 -> 89823 bytes Rapport/prof2negamax.png | Bin 0 -> 87472 bytes Rapport/prof3alphabeta.png | Bin 0 -> 86714 bytes Rapport/prof3negamax.png | Bin 0 -> 85017 bytes Rapport/prof4alphabeta-console.png | Bin 0 -> 8274 bytes Rapport/prof4alphabeta.png | Bin 0 -> 80992 bytes Rapport/prof4negamax-console.png | Bin 0 -> 12808 bytes Rapport/prof4negamax.png | Bin 0 -> 85885 bytes Rapport/prof5alphabeta-console.png | Bin 0 -> 8067 bytes Rapport/prof5alphabeta.png | Bin 0 -> 85766 bytes readme.txt | 14 +++ src/META-INF/MANIFEST.MF | 3 + 17 files changed, 248 insertions(+), 6 deletions(-) create mode 100644 Rapport/AlphaBetaPlayer.java create mode 100644 Rapport/NegamaxPlayer.java create mode 100644 Rapport/prof1alphabeta.png create mode 100644 Rapport/prof1negamax.png create mode 100644 Rapport/prof2alphabeta.png create mode 100644 Rapport/prof2negamax.png create mode 100644 Rapport/prof3alphabeta.png create mode 100644 Rapport/prof3negamax.png create mode 100644 Rapport/prof4alphabeta-console.png create mode 100644 Rapport/prof4alphabeta.png create mode 100644 Rapport/prof4negamax-console.png create mode 100644 Rapport/prof4negamax.png create mode 100644 Rapport/prof5alphabeta-console.png create mode 100644 Rapport/prof5alphabeta.png create mode 100644 src/META-INF/MANIFEST.MF diff --git a/Rapport/AlphaBetaPlayer.java b/Rapport/AlphaBetaPlayer.java new file mode 100644 index 0000000..f2548a9 --- /dev/null +++ b/Rapport/AlphaBetaPlayer.java @@ -0,0 +1,29 @@ + +public Pair play(State game) { + int bestValue = Integer.MIN_VALUE; + Pair bestMove = null; + for(Pair move : game.getMove(game.getCurrentPlayer())) { + State nextState = game.play(move); + complexity++; + int value = -alphabeta(nextState, this.depth,Integer.MIN_VALUE,Integer.MAX_VALUE); + if (value > bestValue) { + bestValue = value; + bestMove = move; + } + } + return bestMove; +} + + private int alphabeta(State state, int depth,int alpha,int beta) { + if(depth == 0 || state.isOver()) { + return evaluate(state); + } else { + for (Pair move : state.getMove(state.getCurrentPlayer())) { + State nextState = state.play(move); + alpha = Math.max(alpha,-alphabeta(nextState,depth-1,-beta,-alpha)); + if(alpha >= beta) + return alpha; + } + return alpha; + } +} \ No newline at end of file diff --git a/Rapport/NegamaxPlayer.java b/Rapport/NegamaxPlayer.java new file mode 100644 index 0000000..92409a3 --- /dev/null +++ b/Rapport/NegamaxPlayer.java @@ -0,0 +1,27 @@ +public Pair play(State game) { + int bestValue = Integer.MIN_VALUE; + Pair bestMove = null; + for(Pair move : game.getMove(game.getCurrentPlayer())) { + State nextState = game.play(move); + int value = -negamax(nextState, this.depth); + if (value > bestValue) { + bestValue = value; + bestMove = move; + } + } + return bestMove; +} + +private int negamax(State state, int depth) { + if(depth == 0 || state.isOver()) { + return evaluate(state); + } else{ + int m = Integer.MIN_VALUE; + for (Pair move : state.getMove(state.getCurrentPlayer())) { + State nextState = state.play(move); + complexity++; + m= Math.max(m,-negamax(nextState,depth-1)); + } + return m; + } +} diff --git a/Rapport/Rapport.tex b/Rapport/Rapport.tex index 17c5565..409a3d5 100644 --- a/Rapport/Rapport.tex +++ b/Rapport/Rapport.tex @@ -5,6 +5,12 @@ \usepackage[french]{babel} \usepackage{hyperref} \usepackage{graphicx} +\usepackage{listings} +\usepackage[linesnumbered,ruled,french,onelanguage]{algorithm2e} +\lstset{numbers=left, numberstyle=\tiny, stepnumber=1, numbersep=6pt} +\makeatletter +\g@addto@macro{\@algocf@init}{\SetKwInput{KwOut}{Sortie}} +\makeatother \title{Aide à la Décision - Othello} \author{Antonin Boyon \and Quentin Legot \and Arthur Page} \date{\today} @@ -20,19 +26,182 @@ \newpage \section{Introduction} -Le but de notre projet était de concevoir un algorithme de recherche performant sur un jeu d' \textit{Othello}. Le jeu est le plus abstrait possible, la partie nous intéressant étant la réalisation d'un algorithme de recherche efficace. Il est ainsi impossible de jouer au jeu, on ne peut que regarder le résultat d'une partie entre deux joueurs artificiels. + +Le but de notre projet était de concevoir un algorithme de recherche performant sur un jeu d' \textit{Othello}. Le jeu est le plus abstrait possible, la partie nous intéressant étant la réalisation d'un algorithme de recherche efficace. Il est ainsi impossible de jouer au jeu, on ne peut que regarder le résultat d'une partie entre deux joueurs artificiels.\\ Une fois le jeu et l'algorithme de recherche implémentés, nous serons en mesure d'analyser ce dernier pour définir ses paramètres de fonctionnement optimaux. Nous aborderons dans un premier temps l'implémentation du jeu, puis celle de l'algorithme et enfin la présentation et l'analyse des mesures observées. -\section{Le jeu} - - \section{L'algorithme de recherche} \subsection{Algorithme de base} + +Nous avons utilisé un algorithme Negamax pour résoudre le problème. + +\lstinputlisting[language=Java]{NegamaxPlayer.java} + \subsection{Algorithme d'élagage} +\lstinputlisting[language=Java]{AlphaBetaPlayer.java} + \section{Mesures} -\subsection{Présentation des mesures} -\subsection{Analyse des mesures} + +\subsection{Présentation} + +Les graphiques qui vont suivre ont été conçus à l’aide des algorithmes AlphaBeta et Negamax.\\ +Ils sont l’objet de comparaisons entre les algorithmes, en fonction de leur type ou du joueur concerné (premier ou second joueur).\\ +Ils traduisent la complexité de l’algorithmes (le nombre de nœuds traversés) au fur et à mesure des tours de la partie.\\ +Le premier joueur est associé à la courbe rouge et le deuxième à la bleue.\\ +La profondeur de recherche des deux joueurs sera toujours la même.\\ + +Tout les tests incluant un temps ont été fait sur la même machine et en même temps: Raspberry pi 3 avec un processeur Quad Core 1.2GHz 64bit sous Raspbian OS 32 bits sans Bureau. +\newpage +\subsection{AlphaBeta} + +\subsubsection{Profondeur 1} + +\begin{figure}[!h] + \includegraphics[width=\textwidth]{prof1alphabeta.png} +\end{figure} + +Le joueur 1 obtient assez vite (tour 5) un avantage (il possède plus de possibilités) qui augmente au fur et à mesure des tours. A son maximum (fin de la partie) cet avantage est 69\% plus important par rapport au second joueur.\\ +L’augmentation de la complexité est plutôt linéaire.\\ +Il semblerait que jouer en premier est un avantage. +\newpage +\subsubsection{Profondeur 2} + +\begin{figure}[!h] + \includegraphics[width=\textwidth]{prof2alphabeta.png} +\end{figure} + +Malgré qu’il soit second à jouer, joueur 2 obtient un avantage au niveau du tour 10 environ. Cet avantage augmente jusqu’au tour 30, avec un pic à 30\% par rapport au joueur 1, mais reste marginal. Il se réduit ensuite jusqu’à la fin de la partie.\\ +Le nombre de tour est largement inférieur par rapport au précédent graphique. La complexité du joueur 1 est deux fois moins importante que sur le graphique précédent, malgré la profondeur plus importante.\\ +Mais malgré cet avantage, la victoire est pour le joueur 1.\\ +La courbe est linéaire, comme sur la graphique précédent.\\ +Être le premier à jouer semble donner un avantage, et le nombre de possibilités du joueur 2 plus important n’était pas suffisant pour le résorber. La profondeur ne semble pas forcément augmenter le nombre de possibilités. +\newpage +\subsubsection{Profondeur 3} + +\begin{figure}[!h] + \includegraphics[width=\textwidth]{prof3alphabeta.png} +\end{figure} + +Comme pour la profondeur 1, le joueur 1 a tôt, au tour 5 environ, un avantage qui augmente également au fur et à mesure de la partie et gagne cette dernière.\\ +La situation est similaire à AlphaBeta de profondeur 1. +\newpage +\subsubsection{Profondeur 4} + +\begin{figure}[!h] + \includegraphics[width=\textwidth]{prof4alphabeta.png} +\end{figure} + +Similaire au graphique de profondeur 2, le second joueur possède un avantage à partir du tour 5 environ. Mais au tour 20 cet avantage augmente drastiquement pour atteindre 100\% de plus, en fin de partie, par rapport au joueur 1. La complexité du premier joueur est particulièrement basse, presque 70\% moins importante qu’avec la profondeur de 1.\\ +Pour la première fois, c’est le second joueur qui gagne la partie.\\ +L’avantage très important du joueur 2 lui a permis de l’emporter, malgré son désavantage de joueur en second.\\ + +\begin{figure}[!h] + \includegraphics[width=\textwidth]{prof4alphabeta-console.png} +\end{figure} + +Le temps de résolution de cet algorithme est de 1 minute et 12 secondes pour un total de 2 226 nœuds visités (pour les deux joueurs). + +\subsubsection{Profondeur 5} + +\begin{figure}[!h] + \includegraphics[width=\textwidth]{prof5alphabeta.png} +\end{figure} + +Au tour 5 environ, le premier joueur obtient un léger avantage qui se résorbent au tour 30.\\ +Pour le reste de la partie, il n’y a pas de réelle avantage d’un joueur.\\ +Conformément aux observations précédentes, sans avantage du joueur 2, c’est le premier joueur qui l’emporte. + +\begin{figure}[!h] + \includegraphics[width=\textwidth]{prof5alphabeta-console.png} +\end{figure} + +Pour 3 094 nœuds visités, l’algorithme dure 6 minutes et 54 secondes. + +\subsubsection{Conclusion d’Alphabeta} + +Jouer en premier donne un avantage. Il faut au second joueur un avantage conséquent (situé entre 30\% et 100\% par rapport au premier) pour lui permettre de l’emporter.\\ +De plus, c’est sur les profondeur pairs que le second joueur semble posséder un avantage.\\ +L’augmentation de la profondeur de l’algorithme AlphaBeta n’augmente pas forcément la complexité de ce dernier. Cependant l’augmentation de la complexité en fonction du nombre de tour est relativement linéaire.\\ +Le temps de résolution des algorithme pour des petites profondeurs (1, 2, 3) est de quelques secondes mais augmente drastiquement avec la profondeur, AlphaBeta(5) s’exécute pendant plusieurs minutes. + +\subsection{Negamax} + +\subsubsection{Profondeur 1} + +\begin{figure}[!h] + \includegraphics[width=\textwidth]{prof1negamax.png} +\end{figure} + +Aucun des joueurs n’a d’avantage particulier.\\ +La complexité est environ 20 fois plus importante qu’AlphaBeta.\\ +Le joueur 1 est le gagnant. Avec cet algorithme aussi il semblerait que le premier joueur possède un avantage.\\ +L’augmentation de la complexité est moins importante au début et à la fin de partie mais est assez linéaire. + +\subsubsection{Profondeur 2} + +\begin{figure}[!h] + \includegraphics[width=\textwidth]{prof2negamax.png} +\end{figure} + +La complexité est 40 fois plus importante qu’avec la profondeur précédente.\\ +La forme de la courbe est similaire au graphique précédent.\\ +Aucun joueur n’a d’avantage majeur au cours de la partie. Le second joueur a un petit avantage qui commence au tour 15 et qui finit au tour 33 où le premier prend l’avantage, qui reste faible, jusqu’à la fin de la partie. \\ +Cependant c’est le second joueur qui l’emporte, alors qu’il n’avait pas un grand avantage. Cela différencie cet algorithme de AlphaBeta. + +\newpage +\subsubsection{Profondeur 3} + +\begin{figure}[!h] + \includegraphics[width=\textwidth]{prof3negamax.png} +\end{figure} + +La complexité de cet algorithme est 15 fois supérieur au précédent.\\ +Le joueur 2 commence à avoir un avantage au tour 23, avantage qui augmente un peu jusqu’à la fin de la partie. Cependant cet avantage n’est pas suffisant et c’est le premier joueur qui gagne.\\ +La courbe est similaire à celles des autres profondeurs. + +\newpage +\subsubsection{Profondeur 4} + +\begin{figure}[!h] + \includegraphics[width=\textwidth]{prof4negamax.png} +\end{figure} + +La complexité est environ 11 fois supérieur à Negamax de profondeur 3. Le premier joueur possède un avantage au tour 10 qui augmente jusqu’au tour 22 et se réduit ensuite jusqu’à la fin de la partie.\\ +Malgré cet avantage c’est le second joueur qui remporte la partie. + +\begin{figure}[!h] + \includegraphics[width=\textwidth]{prof4negamax-console.png} +\end{figure} + +Pour le parcours des 536 329 836 nœuds, l’algorithme met 69 minutes et 43 secondes. + +\subsubsection{Profondeur 5} + +Nous avons estimé la complexité de Negamax de profondeur 5 à au moins 8.2 milliards de nœuds.\\ +Nous avons essayer de le lancer mais après 28 heures d’exécution sur le Raspberry Pi celui-ci n’étais pas terminé, de plus la complexité stocké comme attribut de la classe Player est stocké sur un entier signé 32 bits dont la limite positive est $2^{31} - 1$ soit inférieur à 8 milliards. + +\subsubsection{Conclusion de Negamax} + +L’augmentation de la complexité en fonction de la profondeur de l’algorithme est exponentielle.\\ +La victoire d’un joueur n’a pas l’air influé par son avantage ou par son ordre de jeu.\\ +Cet algorithme est très long et du à sa complexité exponentielle, son temps d’exécution l’est également. + +\section{Difficultés rencontrés} + +Nous avons rencontrés quelques difficultés durant la réalisation du jeu, notamment du à des incompréhension des règles du jeu:\\ + +\begin{itemize} + \item Lors du clonage toutes les cases même inoccupées étaient modifiées. + \item Le saut était possible même quand il n'y avait pas de pion en dessous et ne transformait pas les pions adverses. +\end{itemize} + +\section{Expérimentations} + +Nous avons mis en place un logger afin de pouvoir exporter plus facilement les données notamment pour faire les graphiques.\\ + +Le flux s'ouvre au lancement du programme et se ferme à sa fermeture ce qui fait que les fichiers de log resteront vides pendant le fonctionnement du programme, ce qui rend impossible la lecture de la complexité durant le fonctionnement du programme notamment pour le negamax de profondeur 5 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indiquer dans le fichier META_INF que vous souhaitez qu'il se lance sur le fichier Main et non sur MainStats \ No newline at end of file diff --git a/src/META-INF/MANIFEST.MF b/src/META-INF/MANIFEST.MF new file mode 100644 index 0000000..4f39cf6 --- /dev/null +++ b/src/META-INF/MANIFEST.MF @@ -0,0 +1,3 @@ +Manifest-Version: 1.0 +Main-Class: othello.MainStats +

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