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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 | } |