From 8aed9fcc3fadfda9da9b9e0cc555dd4171c5d187 Mon Sep 17 00:00:00 2001
From: Juan Massuelles <juan@polux.studio>
Date: Mon, 20 Nov 2023 17:46:28 +0100
Subject: [PATCH] =?UTF-8?q?Recherche=20sur=20la=20recherche=20de=20carr?=
 =?UTF-8?q?=C3=A9s=20dans=20un=20tableau=20al=C3=A9atoire?=
MIME-Version: 1.0
Content-Type: text/plain; charset=UTF-8
Content-Transfer-Encoding: 8bit

---
 recherche_de_carre/board.js | 279 ++++++++++++++++++++++++++++++++++++++++++++
 1 file changed, 279 insertions(+)
 create mode 100644 recherche_de_carre/board.js

diff --git a/recherche_de_carre/board.js b/recherche_de_carre/board.js
new file mode 100644
index 0000000..bc73853
--- /dev/null
+++ b/recherche_de_carre/board.js
@@ -0,0 +1,279 @@
+////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////
+// fonctions utilitaires
+////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////
+
+
+function min(a,b) {
+    return a<b ? a : b;
+}
+
+function col_to_str(col,the_board) {
+    var col_str="";
+    for(var i_lines=0;i_lines<the_board.rows.length;i_lines++) {
+        col_str+=the_board.rows[i_lines][col];
+    }
+    return col_str;
+}
+
+function set_char_at(index,chr,str) {
+    if(index > str.length-1) return str;
+    return str.substring(0,index) + chr + str.substring(index+1);
+}
+
+function get_random_char(str) {
+    return str[Math.floor(Math.random() * str.length)];
+}
+
+////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////
+// fonctions métier
+////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////
+
+// génération d'un board aléttoire
+function generate_board(rows,cols) {
+    var occurences = "...............o.";
+    var board={rows:[]};
+    for(i=0;i<cols;i++) {
+        str = "";
+        for(j=0;j<rows;j++) {
+            str += get_random_char(occurences);
+        }
+        board.rows[i]=str;
+    }
+    return board;
+}
+
+
+// chercher la plus grande distance possible avant un o ou la fin de la chaine / la valeur d'arrêt
+function get_distance_to_blocking_o(start,stop,str) {
+    //console.log("get_distance_to_blocking_o",start,stop,str);
+    //start+stop-1, -1 parce que le char est compté dans la la dimension du stop
+    var last_char_to_check = (stop < 0  ? str.length : min(start+stop-1,str.length));
+    //var tmp_str=set_char_at(start,"|",str);
+    //var tmp_str2=set_char_at(last_char_to_check-1,"|",tmp_str);
+    //console.log("get_distance_to_blocking_o",start,last_char_to_check,tmp_str2);
+
+    for(var i_char=start;i_char<last_char_to_check;i_char++) {
+        if(str[i_char]=="o") {
+            return(i_char-start);
+        }
+    }
+    return(last_char_to_check-start);
+}
+
+// chercher le plus grand carré possible depuis un point (vers le bas / la droite)
+function get_biggest_square_on_board_at(row,col,the_board,current_max_width=-1) {
+    // console.log("starting at ",row,col,current_max_width);
+    // si il n'y a pas de ligne row, ou pas de colonne col, on renvoie 0
+    if(row >= the_board.rows.length || col >= the_board.rows[0].length) {
+        // console.log("out of bounds");
+        return 0;
+    }
+    // si on est sur un o on renvoie 0 
+    if(the_board.rows[row][col] == "o") {
+        // console.log("got an o");
+        return 0;
+    }
+    // on commence en se disant qu'on peut faire tout le reste du board en partant de notre position
+    // on cherche à la position actuelle jusqu'ou on peut aller en longeur et en largeur
+    // la longeur max est jusqu'au premier o qu'on trouve
+    var max_width = get_distance_to_blocking_o(col,current_max_width,the_board.rows[row]);
+    // console.log("max w",max_width);
+    // la hauter maximum est jusqu'au premier o qu'on trouve, pas besoin de chercher plus loin que la largeur max
+    // console.log("col : ",col," => ",col_to_str(col,the_board));
+    var max_height = get_distance_to_blocking_o(row,current_max_width,col_to_str(col,the_board));
+    // console.log("max h",max_height);
+    // la dimension max est le min des deux.
+    current_max_width = min(max_width,max_height);
+    // console.log(max_width,",",max_height, "=>",current_max_width);
+    // si c'est plus de 1, c'est à dire le plus petit carré possible, alors
+    // la dimension max est donc 1 + la dimension max de ce quon peut faire en descendant en diagonale dans le sous carré
+    if(current_max_width > 1) {
+       return 1 + get_biggest_square_on_board_at(row+1,col+1,the_board,current_max_width);
+    }
+    // sinon on est est soit à la fin de ce qu'on peut chercher (dimensions du tableau ou on est tombé sur un o)
+    return current_max_width;
+}
+
+// chercher le plus grand carré possible pour une ligne
+function get_biggest_square_for_row(row,the_board) {
+    var biggest_for_row = {width:0};
+    var current_width = 0;
+    for(var i_col=0;i_col<the_board.rows[row].length;i_col++) {
+        current_width = get_biggest_square_on_board_at(row,i_col,the_board);
+        // console.log("at row ",row,", col ",i_col," => ",current_width);
+        if(current_width > biggest_for_row.width) {
+            biggest_for_row.row = row;
+            biggest_for_row.col = i_col;
+            biggest_for_row.width = current_width;
+        }
+    }
+    return biggest_for_row;
+}
+
+//chercher le plus grand carré pour un tableau
+function get_biggest_square_for_board(the_board) {
+    var biggest_in_board_for_now = {width:0};
+    //console.log("biggest : ",biggest);
+    for(var i_row=0; i_row<the_board.rows.length; i_row++) {
+        current_square = get_biggest_square_for_row(i_row,the_board);
+        if(current_square.width > biggest_in_board_for_now.width) {
+            biggest_in_board_for_now = current_square;
+        }
+    }
+    return(biggest_in_board_for_now);
+}
+
+
+////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////
+// déclarations de tableaux
+////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////
+
+board1 = {
+    rows: [
+        ".....o..........",
+        ".....o.....o....",
+        "................",
+        "....o...........",
+        "..........o.....",
+        "................",
+        "....o...o.......",
+        "................",
+        ".............o.."
+    ]
+}
+
+board2 = {
+    rows: [
+        "o....o..........",
+        "...........o....",
+        "................",
+        "....o...........",
+        "..........o.....",
+        "................",
+        "....o...o.......",
+        "................",
+        ".............o.."
+    ]
+}
+
+
+board3 = {
+    rows: [
+        "................",
+        "................",
+        "................",
+        "................",
+        "................",
+        "................",
+        "................",
+        "................",
+        "................"
+    ]
+}
+
+board4 = {
+    rows: [
+        "oooooooooooooooo",
+        "oooooooooooooooo",
+        "oooooooooooooooo",
+        "oooooooooooooooo",
+        "oooooooooooooooo",
+        "oooooooooooooooo",
+        "oooooooooooooooo",
+        "oooooooooooooooo",
+        "oooooooooooooooo"
+    ]
+}
+
+board5 = {
+    rows: [
+        "................",
+        "................",
+        "................",
+    ]
+}
+
+board6 = {
+    rows: [
+        "oooooooooooooooo",
+        "oooooooooooooooo",
+        "oooooooooooooooo",
+        "oooooooooooooooo",
+    ]
+}
+
+board7 = {
+    rows: [
+        "o....o..........",
+        "...........o....",
+        "................",
+        "....o...........",
+        "..........o.....",
+        "................",
+        "....o...o.......",
+        "................",
+        "................",
+        "................",
+        "................",
+        ".............o.."
+    ]
+}
+
+board8 = {
+    rows: [
+        "o....o.........................",
+        "..........................o....",
+        "..............o................",
+        "....o........ooo...............",
+        "..............o..........o.....",
+        "...............o...............",
+        "....o..................o.......",
+        "o..............................",
+        "...............................",
+        ".....................o.........",
+        ".....................o.........",
+        ".....................o.........",
+        ".........ooo...................",
+        "................o..............",
+        "..................o............",
+        "....................o..........",
+        "...............................",
+        "............................o.."
+    ]
+}
+
+////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////
+// TESTS
+////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////
+
+// console.log('board1 0,0 ',get_biggest_square_on_board_at(0,0,board1));
+// console.log('board2 0,0 ',get_biggest_square_on_board_at(0,0,board2));
+// console.log('board3 0,0 ',get_biggest_square_on_board_at(0,0,board3));
+// console.log('board4 0,0 ',get_biggest_square_on_board_at(0,0,board4));
+// console.log('board5 0,0 ',get_biggest_square_on_board_at(0,0,board5));
+// console.log('board6 0,0 ',get_biggest_square_on_board_at(0,0,board6));
+// console.log('board1 5,0 ',get_biggest_square_on_board_at(5,0,board1));
+// console.log('board1 0,5 ',get_biggest_square_on_board_at(0,5,board1));
+// console.log('board1 6,0 ',get_biggest_square_on_board_at(6,0,board1));
+// console.log('board1 0,6 ',get_biggest_square_on_board_at(0,6,board1));
+//console.log('board1 1,12 ',get_biggest_square_on_board_at(1,12,board1));
+//console.log(get_distance_to_blocking_o(12,-1,"...........o...."));
+//console.log('board1 1,6 ',get_biggest_square_on_board_at(1,6,board1));
+//console.log('board1 1,12 ',get_biggest_square_on_board_at(1,12,board1));
+//console.log('board1 1,5 ',get_biggest_square_on_board_at(1,5,board1));
+//console.log('board1 0 ',get_biggest_square_for_row(0,board1));
+//console.log('board2 0 ',get_biggest_square_for_row(0,board2));
+//console.log('board3 0 ',get_biggest_square_for_row(0,board3));
+//console.log('board4 0 ',get_biggest_square_for_row(0,board4));
+//console.log('board5 0 ',get_biggest_square_for_row(0,board5));
+//console.log('board6 0 ',get_biggest_square_for_row(0,board6));
+//console.log('board1 1 ',get_biggest_square_for_row(1,board1));
+//console.log('board1 1 ',get_biggest_square_for_row(2,board1));
+//console.log('board2 0 ',get_biggest_square_for_row(0,board2));
+
+for(i_board=1;i_board<9;i_board++) {
+    console.log('board'+i_board+' ',eval("board"+i_board),get_biggest_square_for_board(eval("board"+i_board)));
+}
+
+var new_board = generate_board(100,100);
+console.log("generated_board ",new_board,get_biggest_square_for_board(new_board));
\ No newline at end of file