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| 1 | +#! /usr/bin/env python3 |
| 2 | + |
| 3 | +from collections import deque |
| 4 | + |
| 5 | + |
| 6 | +class MinHeap: |
| 7 | + def __init__(self, goalstate, compare): |
| 8 | + self.data = [None] |
| 9 | + self.size = 0 |
| 10 | + self.comparator = compare |
| 11 | + self.goalstate = goalstate |
| 12 | + |
| 13 | + def __len__(self): |
| 14 | + return self.size |
| 15 | + |
| 16 | + def __contains__(self, item): |
| 17 | + return item in self.data |
| 18 | + |
| 19 | + def __str__(self): |
| 20 | + return str(self.data) |
| 21 | + |
| 22 | + def _compare(self, x, y): |
| 23 | + x = self.comparator(self.data[x], self.goalstate) |
| 24 | + y = self.comparator(self.data[y], self.goalstate) |
| 25 | + |
| 26 | + if x < y: |
| 27 | + return True |
| 28 | + else: |
| 29 | + return False |
| 30 | + |
| 31 | + def getpos(self, x): |
| 32 | + for i in range(self.size+1): |
| 33 | + if x == self.data[i]: |
| 34 | + return i |
| 35 | + return None |
| 36 | + |
| 37 | + def _upHeap(self, i): |
| 38 | + while i > 1 and self._compare(i, int(i/2)): |
| 39 | + self._swap(i, int(i/2)) |
| 40 | + i = int(i/2) |
| 41 | + |
| 42 | + def _downHeap(self, i): |
| 43 | + size = self.size |
| 44 | + while 2*i <= size: |
| 45 | + j = 2*i |
| 46 | + if j < size and self._compare(j+1, j): |
| 47 | + j += 1 |
| 48 | + if self._compare(i, j): |
| 49 | + break |
| 50 | + self._swap(i, j) |
| 51 | + i = j |
| 52 | + |
| 53 | + def _swap(self, i, j): |
| 54 | + t = self.data[i] |
| 55 | + self.data[i] = self.data[j] |
| 56 | + self.data[j] = t |
| 57 | + |
| 58 | + def push(self, x): |
| 59 | + self.size += 1 |
| 60 | + self.data.append(x) |
| 61 | + self._upHeap(self.size) |
| 62 | + |
| 63 | + def pop(self): |
| 64 | + if self.size < 1: |
| 65 | + return None |
| 66 | + t = self.data[1] |
| 67 | + self.data[1] = self.data[self.size] |
| 68 | + self.data[self.size] = t |
| 69 | + self.size -= 1 |
| 70 | + self._downHeap(1) |
| 71 | + self.data.pop() |
| 72 | + return t |
| 73 | + |
| 74 | + def peek(self): |
| 75 | + if self.size < 1: |
| 76 | + return None |
| 77 | + return self.data[1] |
| 78 | + |
| 79 | + |
| 80 | +# comparadores |
| 81 | +def hamming(inicialState, goalstate): |
| 82 | + inicial = inicialState.estado |
| 83 | + goal = goalstate.estado |
| 84 | + depth = inicialState.profundidade |
| 85 | + sum = 0 |
| 86 | + for x, y in zip(goal, inicial): |
| 87 | + if x != y and x != '0': |
| 88 | + sum += 1 |
| 89 | + return sum + depth |
| 90 | + |
| 91 | + |
| 92 | +def manhattan(inicialState, goalstate): |
| 93 | + inicial = inicialState.estado |
| 94 | + goal = goalstate.estado |
| 95 | + depth = inicialState.profundidade |
| 96 | + sum = 0 |
| 97 | + for i in range(16): |
| 98 | + if goal[i] == '0': |
| 99 | + continue |
| 100 | + x1, y1 = (int(i / 4), i % 4) |
| 101 | + for j in range(16): |
| 102 | + if goal[i] == inicial[j]: |
| 103 | + x2, y2 = (int(j / 4), j % 4) |
| 104 | + sum += abs(x1 - x2) + abs(y1 - y2) |
| 105 | + break |
| 106 | + return sum + depth |
| 107 | + |
| 108 | + |
| 109 | +# Algoritmos de Pesquisa |
| 110 | + |
| 111 | +# Breadth-first search |
| 112 | +def bfs(inicialState, goalstate): |
| 113 | + total_nos = 1 |
| 114 | + fronteira = deque() |
| 115 | + fronteira.append(inicialState) |
| 116 | + |
| 117 | + while len(fronteira) > 0: |
| 118 | + state = fronteira.popleft() |
| 119 | + |
| 120 | + if goalstate == state: |
| 121 | + return state.backtrack, total_nos |
| 122 | + for filho in state.moves(): |
| 123 | + total_nos += 1 |
| 124 | + fronteira.append(filho) |
| 125 | + return False, total_nos |
| 126 | + |
| 127 | +# Depth-first search |
| 128 | +def dfs(inicialState, goalstate, depth): |
| 129 | + total_nos = 1 |
| 130 | + fronteira = list() |
| 131 | + visitados = set() |
| 132 | + fronteira.append(inicialState) |
| 133 | + |
| 134 | + while len(fronteira) > 0: |
| 135 | + state = fronteira.pop() |
| 136 | + visitados.add(state) |
| 137 | + |
| 138 | + if state == goalstate: |
| 139 | + return state.backtrack, total_nos |
| 140 | + |
| 141 | + for filho in state.moves(): |
| 142 | + total_nos += 1 |
| 143 | + if filho.profundidade <= depth: |
| 144 | + if filho not in visitados or filho not in fronteira: |
| 145 | + fronteira.append(filho) |
| 146 | + return False, total_nos |
| 147 | + |
| 148 | +# Iteractive Depth-first search |
| 149 | +def idfs(inicialState, goalstate): |
| 150 | + total_nos = 1 |
| 151 | + i = 1 |
| 152 | + moves, nodes = dfs(inicialState, goalstate, i) |
| 153 | + total_nos += nodes |
| 154 | + while not moves: |
| 155 | + i += 1 |
| 156 | + moves, nodes = dfs(inicialState, goalstate, i) |
| 157 | + total_nos += nodes |
| 158 | + return moves, total_nos |
| 159 | + |
| 160 | +# Greedy |
| 161 | +def guloso(inicialState, goalstate, comparador): |
| 162 | + total_nos = 1 |
| 163 | + state = inicialState |
| 164 | + |
| 165 | + while state != goalstate: |
| 166 | + filhos = state.moves() |
| 167 | + state = filhos.pop() |
| 168 | + for x in filhos: |
| 169 | + total_nos += 1 |
| 170 | + if comparador(x, goalstate) < comparador(state, goalstate): |
| 171 | + state = x |
| 172 | + |
| 173 | + return state.backtrack, total_nos |
| 174 | + |
| 175 | +# A* |
| 176 | +def astar(inicialState, goalstate, comparador): |
| 177 | + total_nos = 1 |
| 178 | + fronteira = MinHeap(goalstate, comparador) |
| 179 | + fronteira.push(inicialState) |
| 180 | + visitados = set() |
| 181 | + |
| 182 | + while len(fronteira) > 0: |
| 183 | + state = fronteira.pop() |
| 184 | + visitados.add(state) |
| 185 | + |
| 186 | + if goalstate == state: |
| 187 | + return state.backtrack, total_nos |
| 188 | + |
| 189 | + for filho in state.moves(): |
| 190 | + total_nos += 1 |
| 191 | + if filho not in fronteira and filho not in visitados: |
| 192 | + fronteira.push(filho) |
| 193 | + elif filho in fronteira: |
| 194 | + i = fronteira.getpos(filho) |
| 195 | + if fronteira.data[i].profundidade > filho.profundidade: |
| 196 | + fronteira.data[i] = filho |
| 197 | + fronteira._upHeap(i) |
| 198 | + |
| 199 | + return False, total_nos |
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