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| 1 | ||
| 2 | public class Percolation{
| |
| 3 | ||
| 4 | private int arrDim; | |
| 5 | private char[][] state; | |
| 6 | private MyWeightedQuickUnionUF qu; | |
| 7 | private int top = 0; | |
| 8 | private int bottom; | |
| 9 | - | final long constructionTime; |
| 9 | + | private double count; |
| 10 | // final long constructionTime; | |
| 11 | ||
| 12 | Percolation(int N){
| |
| 13 | arrDim = N; | |
| 14 | qu = new MyWeightedQuickUnionUF((N*N)+2); // +2 is for the virtual top n bottom site | |
| 15 | state = new char[N][N]; | |
| 16 | // System.out.print("\n state : " + state.length + " elements : ");
| |
| 17 | for(int i = 0; i< N; i++){
| |
| 18 | for(int j = 0; j < N ; j++){
| |
| 19 | // 'b' = blocked | |
| 20 | // 'o' = open | |
| 21 | // 'f' = full | |
| 22 | state[i][j]='b'; | |
| 23 | // System.out.print(" " + state[i][j]);
| |
| 24 | } | |
| 25 | } | |
| 26 | bottom = N*N + 1; // (N*N + 2) - 1; | |
| 27 | for(int i = 1; i<= N; i++){
| |
| 28 | qu.union(top, i); // creating virual connection of top row to Top site | |
| 29 | qu.union(bottom,bottom - i); // connecting bottom row sites to Bottom | |
| 30 | } | |
| 31 | - | constructionTime = System.nanoTime(); |
| 31 | + | |
| 32 | // constructionTime = System.nanoTime(); | |
| 33 | ||
| 34 | } | |
| 35 | ||
| 36 | public int convertTo1D(int row, int col){
| |
| 37 | return ((row*arrDim + col) + 1); // the conversion is needed as union find has 1D array, and return value will give the index of that array | |
| 38 | // but, since the initial(0) and final(N*N+1) positions of the (N*N + 2) array are reserved for TOP n BOTTOM virtual sites | |
| 39 | // the array index range for use is from 1 to N*N | |
| 40 | } | |
| 41 | - | // System.out.print("in open(): passed value: " + row+ " " + col);
|
| 41 | + | |
| 42 | // System.out.println("in open(): passed value: " + row+ " " + col + " state: " + state[row-1][col-1]);
| |
| 43 | if (row < 1 || row > arrDim || col < 1 || col > arrDim) | |
| 44 | throw new IndexOutOfBoundsException("Illegal parameter value.");
| |
| 45 | ||
| 46 | // passed values are in 1:N convetion , here, sice 2D to 1D conversion is involded, row convention changed to 0:(N-1) | |
| 47 | row = row - 1; | |
| 48 | col = col - 1; | |
| 49 | ||
| 50 | if(calledBefore(row,col)){
| |
| 51 | - | System.out.println("called before");
|
| 51 | + | |
| 52 | // System.out.println("called before");
| |
| 53 | } | |
| 54 | - | |
| 54 | + | |
| 55 | - | int myIndex = convertTo1D(row,col); |
| 55 | + | count++; |
| 56 | // System.out.print("count: " + count);
| |
| 57 | int myIndex = convertTo1D(row,col); | |
| 58 | - | |
| 58 | + | |
| 59 | // System.out.println(" myIndex : " + myIndex);
| |
| 60 | ||
| 61 | if(row == 0){
| |
| 62 | state[row][col] = 'f'; | |
| 63 | // System.out.println(" state: " + state[row][col]);
| |
| 64 | } | |
| 65 | else if(row == (arrDim - 1)){
| |
| 66 | state[row][col] = 'o'; | |
| 67 | // System.out.println(" state: " + state[row][col]);
| |
| 68 | } | |
| 69 | else{
| |
| 70 | // if neither in top or bottom row just mark state as open n check for open neigbors, and connect them. | |
| 71 | state[row][col] = 'o'; | |
| 72 | // System.out.println(" state: " + state[row][col]);
| |
| 73 | } | |
| 74 | // opening a site means connecting the newly opened site with its neighboring sites | |
| 75 | if(row < (arrDim - 1)){
| |
| 76 | // do row + 1 | |
| 77 | int neighborIndex = convertTo1D(row+1,col); | |
| 78 | if(isOpen(row+1,col)){ // ||
| |
| 79 | qu.union(myIndex, neighborIndex); | |
| 80 | // System.out.print(" open connect row + 1 ");
| |
| 81 | state[row + 1][col] = state[row][col]; // isOpen returns true, so state[row + 1][col] is open. thus it can only change to full if state[row][col] = 'f' | |
| 82 | // state[row][col] is either full or open, so state[row + 1][col] has nothing to lose, only it can gain. | |
| 83 | ||
| 84 | }else if(isFull(row+1,col)){
| |
| 85 | qu.union(myIndex, neighborIndex); | |
| 86 | // System.out.print(" full connect row + 1 ");
| |
| 87 | state[row][col] = 'f'; | |
| 88 | } | |
| 89 | } | |
| 90 | if(row > 0){
| |
| 91 | // do row - 1 | |
| 92 | ||
| 93 | int neighborIndex = convertTo1D(row-1,col); | |
| 94 | if(isOpen(row-1,col)){// ||
| |
| 95 | qu.union(myIndex, neighborIndex); | |
| 96 | // System.out.print(" open connect row - 1");
| |
| 97 | state[row - 1][col] = state[row][col]; | |
| 98 | ||
| 99 | }else if(isFull(row-1,col)){
| |
| 100 | qu.union(myIndex, neighborIndex); | |
| 101 | // System.out.print(" full connect row - 1 ");
| |
| 102 | state[row][col] = 'f'; | |
| 103 | } | |
| 104 | } | |
| 105 | if(col < (arrDim - 1)){
| |
| 106 | // do col + 1 | |
| 107 | ||
| 108 | int neighborIndex = convertTo1D(row,col+1); | |
| 109 | if(isOpen(row,col + 1)){ // ||
| |
| 110 | qu.union(myIndex, neighborIndex); | |
| 111 | // System.out.print(" open connect col + 1");
| |
| 112 | state[row][col + 1] = state[row][col]; | |
| 113 | ||
| 114 | }else if(isFull(row,col + 1)){
| |
| 115 | qu.union(myIndex, neighborIndex); | |
| 116 | // System.out.print(" full connect col + 1 ");
| |
| 117 | state[row][col] = 'f'; | |
| 118 | } | |
| 119 | } | |
| 120 | if(col > 0){
| |
| 121 | // do col - 1 | |
| 122 | ||
| 123 | int neighborIndex = convertTo1D(row,col-1); | |
| 124 | if(isOpen(row,col - 1)){ //
| |
| 125 | qu.union(myIndex, neighborIndex); | |
| 126 | // System.out.print(" open connect col - 1\n");
| |
| 127 | state[row][col - 1] = state[row][col]; | |
| 128 | ||
| 129 | }else if(isFull(row,col - 1)){
| |
| 130 | qu.union(myIndex, neighborIndex); | |
| 131 | // System.out.print(" full connect col - 1 ");
| |
| 132 | state[row][col] = 'f'; | |
| 133 | } | |
| 134 | } | |
| 135 | } | |
| 136 | ||
| 137 | ||
| 138 | } | |
| 139 | public boolean isOpen(int row, int col){
| |
| 140 | return (state[row][col] == 'o'); | |
| 141 | } | |
| 142 | - | return (state[row][col] == '0' || state[row][col] == 'f'); |
| 142 | + | |
| 143 | return (state[row][col] == 'f'); | |
| 144 | //return (qu.rootOf(convertTo1D(row,col)) == 0); | |
| 145 | } | |
| 146 | public boolean calledBefore(int row, int col){
| |
| 147 | return (state[row][col] == 'o' || state[row][col] == 'f'); | |
| 148 | } | |
| 149 | public boolean percolates(){
| |
| 150 | // System.out.println("in percolates: returning: ");
| |
| 151 | if(qu.connected(top, bottom)){
| |
| 152 | System.out.println("\n\n percolates: true");
| |
| 153 | return true; | |
| 154 | } | |
| 155 | else{
| |
| 156 | // System.out.println("false");
| |
| 157 | return false; | |
| 158 | - | // System.out.println("enter size: ");
|
| 158 | + | |
| 159 | - | // int size = StdIn.readInt() ; |
| 159 | + | |
| 160 | - | int size=200; |
| 160 | + | |
| 161 | - | Percolation perC = new Percolation(size); |
| 161 | + | |
| 162 | - | // System.out.println("enter number of iterations: ");
|
| 162 | + | |
| 163 | - | // int numOfRuns = StdIn.readInt(); |
| 163 | + | int numOfRuns = 100; |
| 164 | double[] fraction = new double[numOfRuns]; | |
| 165 | - | for(;;){
|
| 165 | + | |
| 166 | - | int row = (int)(Math.random()*size + 1); |
| 166 | + | for(int runCount = 0; runCount < numOfRuns ; runCount++){
|
| 167 | - | int column = (int)(Math.random()*size + 1); |
| 167 | + | // |
| 168 | - | // System.out.format("\n row n column: %d %d",row,column);
|
| 168 | + | System.out.println("enter size: ");
|
| 169 | - | // int row = StdIn.readInt(); |
| 169 | + | // int size = StdIn.readInt() ; |
| 170 | - | // int column = StdIn.readInt(); |
| 170 | + | int size=200; |
| 171 | - | if((row<1 || row>size) || (column < 1 || column > size )) throw new java.lang.IndexOutOfBoundsException("entered value is not valid \n");
|
| 171 | + | int arraySize= size*size; |
| 172 | Percolation perC = new Percolation(size); | |
| 173 | - | perC.open(row,column); |
| 173 | + | // System.out.println("enter number of iterations: ");
|
| 174 | - | if(perC.percolates()){
|
| 174 | + | // int numOfRuns = StdIn.readInt(); |
| 175 | - | System.out.println("percolates");
|
| 175 | + | |
| 176 | - | break; |
| 176 | + | for(;;){
|
| 177 | int row = StdRandom.uniform(size) + 1; | |
| 178 | int column = StdRandom.uniform(size) + 1; | |
| 179 | // System.out.format("\n row n column: %d %d",row,column);
| |
| 180 | // int row = StdIn.readInt(); | |
| 181 | - | final long endTime = System.nanoTime(); |
| 181 | + | // int column = StdIn.readInt(); |
| 182 | - | final long constructionDuration = perC.constructionTime - startTime; |
| 182 | + | if((row<1 || row>size) || (column < 1 || column > size )) throw new java.lang.IndexOutOfBoundsException("entered value is not valid \n");
|
| 183 | - | final long runningDuration = endTime - perC.constructionTime; |
| 183 | + | |
| 184 | - | final long totalDuration = System.nanoTime() - startTime; |
| 184 | + | perC.open(row,column); |
| 185 | - | System.out.println("\n\n construction time: " + constructionDuration + "\n running duration: " + runningDuration);
|
| 185 | + | if(perC.percolates()){
|
| 186 | - | System.out.println(" total running time: " + totalDuration);
|
| 186 | + | System.out.println("percolates with: " + perC.count + "counts");
|
| 187 | fraction[runCount] = perC.count/arraySize; | |
| 188 | break; | |
| 189 | } | |
| 190 | ||
| 191 | } | |
| 192 | } | |
| 193 | double mu = StdStats.mean(fraction); | |
| 194 | double sigma = StdStats.stddev(fraction); | |
| 195 | double confHi = mu + (1.96*sigma/Math.sqrt((double)numOfRuns)); | |
| 196 | double confLow = mu - (1.96*sigma/Math.sqrt((double)numOfRuns)); | |
| 197 | ||
| 198 | System.out.println("\n mean: " + mu);
| |
| 199 | System.out.println(" stddev: " + sigma);
| |
| 200 | System.out.println(" confHi: " + confHi);
| |
| 201 | System.out.println(" confLow: " + confLow);
| |
| 202 | ||
| 203 | final long duration = System.nanoTime() - startTime; | |
| 204 | System.out.println("duration: " + duration);
| |
| 205 | } | |
| 206 | ||
| 207 | ||
| 208 | } |