Update PeakFindingProblem code to allow diagonal motion

search.py

@@ -7,7 +7,7 @@
 from utils import (
     is_in, argmin, argmax, argmax_random_tie, probability, weighted_sampler,
     memoize, print_table, open_data, Stack, FIFOQueue, PriorityQueue, name,
-    distance
+    distance, vector_add
 )
 
 from collections import defaultdict
@@ -526,39 +526,37 @@ def and_search(states, problem, path):
     # body of and or search
     return or_search(problem.initial, problem, [])
 
+# Pre-defined actions for PeakFindingProblem
+directions4 = { 'W':(-1, 0), 'N':(0, 1), 'E':(1, 0), 'S':(0, -1) }
+directions8 = dict(directions4) 
+directions8.update({'NW':(-1, 1), 'NE':(1, 1), 'SE':(1, -1), 'SW':(-1, -1) })
 
 class PeakFindingProblem(Problem):
     """Problem of finding the highest peak in a limited grid"""
 
-    def __init__(self, initial, grid):
+    def __init__(self, initial, grid, defined_actions=directions4):
         """The grid is a 2 dimensional array/list whose state is specified by tuple of indices"""
         Problem.__init__(self, initial)
         self.grid = grid
+        self.defined_actions = defined_actions
         self.n = len(grid)
         assert self.n > 0
         self.m = len(grid[0])
         assert self.m > 0
 
     def actions(self, state):
-        """Allows movement in only 4 directions"""
-        # TODO: Add flag to allow diagonal motion
+        """Returns the list of actions which are allowed to be taken from the given state"""
         allowed_actions = []
-        if state[0] > 0:
-            allowed_actions.append('N')
-        if state[0] < self.n - 1:
-            allowed_actions.append('S')
-        if state[1] > 0:
-            allowed_actions.append('W')
-        if state[1] < self.m - 1:
-            allowed_actions.append('E')
+        for action in self.defined_actions:
+            next_state = vector_add(state, self.defined_actions[action])
+            if next_state[0] >= 0 and next_state[1] >= 0 and next_state[0] <= self.n - 1 and next_state[1] <= self.m - 1:
+                allowed_actions.append(action)
+
         return allowed_actions
 
     def result(self, state, action):
         """Moves in the direction specified by action"""
-        x, y = state
-        x = x + (1 if action == 'S' else (-1 if action == 'N' else 0))
-        y = y + (1 if action == 'E' else (-1 if action == 'W' else 0))
-        return (x, y)
+        return vector_add(state, self.defined_actions[action])
 
     def value(self, state):
         """Value of a state is the value it is the index to"""
@@ -1347,3 +1345,4 @@ def compare_graph_searchers():
                                 GraphProblem('Q', 'WA', australia_map)],
                       header=['Searcher', 'romania_map(Arad, Bucharest)',
                               'romania_map(Oradea, Neamt)', 'australia_map'])
+

tests/test_search.py

@@ -88,12 +88,12 @@ def test_hill_climbing():
 def test_simulated_annealing():
     random.seed("aima-python")
     prob = PeakFindingProblem((0, 0), [[0, 5, 10, 20],
-                                       [-3, 7, 11, 5]])
+                                       [-3, 7, 11, 5]], directions4)
     sols = {prob.value(simulated_annealing(prob)) for i in range(100)}
     assert max(sols) == 20
     prob = PeakFindingProblem((0, 0), [[0, 5, 10, 8],
                                        [-3, 7, 9, 999],
-                                       [1, 2, 5, 11]])
+                                       [1, 2, 5, 11]], directions8)
     sols = {prob.value(simulated_annealing(prob)) for i in range(100)}
     assert max(sols) == 999