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test.py
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test.py
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# Copyright (C) 2012 by Vincent Povirk
#
# Permission is hereby granted, free of charge, to any person obtaining a copy
# of this software and associated documentation files (the "Software"), to deal
# in the Software without restriction, including without limitation the rights
# to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
# copies of the Software, and to permit persons to whom the Software is
# furnished to do so, subject to the following conditions:
#
# The above copyright notice and this permission notice shall be included in
# all copies or substantial portions of the Software.
#
# THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
# IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
# FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
# AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
# LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
# OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN
# THE SOFTWARE.
import random
import sys
import unittest
import mines
class SolverTests(unittest.TestCase):
# layouts is a sequence of tuples of the format:
# (description, informations, known_mine_spaces, known_clear_spaces, num_possibilities, probabilities)
# description is a string that identifies the layout
# informations is a sequence of tuples of the format:
# (total, space, space...)
# total is the number of mines in the given set of spaces
# known_mine_spaces is a sequence of spaces that are known to be mines given the information
# known_clear_spaces is a sequence of spaces that are known to be clear given the information
# num_possibilities is the number of possible solutions; set this to 0 for unsolveable configurations
# probabilities is a sequence of tuples of (space, solutions) where solutions is the number of solutions in which that space is a mine
layouts = (
('nothing', (), (), (), 1, ()),
('empty', ((0,0,1,2,3),), (), (0,1,2,3), 1, ()),
('full', ((4,0,1,2,3),), (0,1,2,3), (), 1, ()),
('negative', ((-1,0,1,2,3),), (), (), 0, ()),
('overfull', ((5,0,1,2,3),), (), (), 0, ()),
('1/4', ((1,0,1,2,3),), (), (), 4, ((0,1), (1,1), (2,1), (3,1))),
('2/4', ((2,0,1,2,3),), (), (), 6, ((0,3), (1,3), (2,3), (3,3))),
('3/4', ((3,0,1,2,3),), (), (), 4, ((0,3), (1,3), (2,3), (3,3))),
('square', ((1,0,1),(1,1,2),(1,2,3),(2,0,3,4)), (4,), (), 2, ((0,1), (1,1), (2,1), (3,1))),
('triangle', ((1,0,1),(1,1,2),(1,2,0),), (), (), 0, ()),
('triangle2', ((1,0,1),(1,1,2),(2,2,0,3),), (2,0), (1,3), 1, ()),
('subset', ((1,0,1,2),(1,0,1),), (), (2,), 2, ((0,1), (1,1))),
('5/3', ((1,0,1),(1,1,2),(1,2,3),(1,3,4),(3,0,1,2,3,4)), (0,2,4), (1,3), 1, ()),
('5/2', ((1,0,1),(1,1,2),(1,2,3),(1,3,4),(2,0,1,2,3,4)), (1,3), (0,2,4), 1, ()),
('difference', ((1,0,1,2),(3,1,2,3,4),), (3,4), (0,), 2, ((1,1), (2,1))),
('3/3', ((1,0,1,2),(1,2,3,4),), (), (), 5, ((0,2), (1,2), (2,1), (3,2), (4,2))),
('badintersection', ((1,0,1,2,3),(3,1,2,3,4)), (), (), 0, ()),
('auto1', ((6,1,2,4,6,7,9,11,13),(3,3,4,13,6),(3,0,1,2,3,5,8,10,11,12),(3,10,5,13,7)), (4,6,7,13), (3,), 24, ()),
)
longMessage = True
def test_solve(self):
for desc, information_descs, known_mine_spaces, known_clear_spaces, expected_possibilities, expected_probabilities in self.layouts:
informations = []
spaces = set()
for information in information_descs:
informations.append(mines.Information(frozenset(information[1:]), information[0]))
spaces.update(information[1:])
known_spaces = set(known_mine_spaces)
known_spaces.update(known_clear_spaces)
solver = mines.Solver(spaces)
try:
for information in informations:
solver.add_information(information)
solver.solve()
self.assertNotEqual(expected_possibilities, 0, desc)
self.assertEqual(set(solver.solved_spaces), known_spaces, desc)
for space in known_mine_spaces:
self.assertEqual(solver.solved_spaces[space], 1, '%s: %s' % (desc, space))
for space in known_clear_spaces:
self.assertEqual(solver.solved_spaces[space], 0, '%s: %s' % (desc, space))
except mines.UnsolveableException:
self.assertEqual(expected_possibilities, 0, desc)
else:
probabilities, num_possibilities = solver.get_probabilities()
self.assertEqual(num_possibilities, expected_possibilities, desc)
unknown_spaces = set(spaces)
unknown_spaces.difference_update(known_spaces)
self.assertEqual(unknown_spaces, set(probabilities))
for space, possibilities in expected_probabilities:
self.assertEqual(probabilities[space], possibilities, '%s: %s' % (desc, space))
def test_probabilities(self):
for desc, information_descs, known_mine_spaces, known_clear_spaces, expected_possibilities, expected_probabilities in self.layouts:
informations = []
spaces = set()
for information in information_descs:
informations.append(mines.Information(frozenset(information[1:]), information[0]))
spaces.update(information[1:])
expected_probabilities = dict(expected_probabilities)
solver = mines.Solver(spaces)
try:
for information in informations:
solver.add_information(information)
probabilities, num_possibilities = solver.get_probabilities()
except mines.UnsolveableException:
self.assertEqual(expected_possibilities, 0, desc)
else:
self.assertEqual(num_possibilities, expected_possibilities, desc)
if expected_possibilities == 0:
continue
for space in spaces:
if space in known_mine_spaces:
if space in solver.solved_spaces:
self.assertEqual(solver.solved_spaces[space], 1, '%s: %s' % (desc, space))
continue
expected_probability = num_possibilities
elif space in known_clear_spaces:
if space in solver.solved_spaces:
self.assertEqual(solver.solved_spaces[space], 0, '%s: %s' % (desc, space))
continue
expected_probability = 0
elif space in expected_probabilities:
expected_probability = expected_probabilities[space]
else:
continue
self.assertEqual(probabilities[space], expected_probability, '%s: %s' % (desc, space))
def test_possibility(self):
desc = None
try:
for desc, information_descs, known_mine_spaces, known_clear_spaces, expected_possibilities, expected_probabilities in self.layouts:
informations = []
spaces = set()
for information in information_descs:
informations.append(mines.Information(frozenset(information[1:]), information[0]))
spaces.update(information[1:])
expected_probabilities = dict(expected_probabilities)
solver = mines.Solver(spaces)
try:
for information in informations:
solver.add_information(information)
solver.solve()
except mines.UnsolveableException:
self.assertEqual(expected_possibilities, 0, desc)
else:
possibility = solver.get_possibility()
for information in information_descs:
self.assertEqual(
sum(possibility[space] for space in information[1:]),
information[0])
except:
print("Failing test: %s" % desc)
raise
def choose_n(rand, n, pool):
pool = list(pool)
result = []
for i in range(n):
index = rand.randint(0, len(pool)-1)
result.append(pool[index])
pool[index] = pool[-1]
pool.pop(-1)
return result
class RandomTests(unittest.TestCase):
def run_random_test(self, rand):
num_spaces = rand.randint(1,15)
actual_state = [rand.randint(0,1) for x in range(num_spaces)]
informations = []
try:
solver = mines.Solver(range(num_spaces))
while len(solver.solved_spaces) != num_spaces:
solved_spaces = set(solver.solved_spaces)
unsolved_spaces = set(range(num_spaces)) - solved_spaces
spaces = choose_n(rand, rand.randint(1, len(unsolved_spaces)), unsolved_spaces) + \
choose_n(rand, rand.randint(0, len(solved_spaces)), solved_spaces)
num_mines = sum(actual_state[i] for i in spaces)
information = mines.Information(frozenset(spaces), num_mines)
informations.append(information)
solver.add_information(information)
probabilities, num_possibilities = solver.get_probabilities()
prob_solved_spaces = 0
for i in range(num_spaces):
if i in solver.solved_spaces:
prob_solved_spaces += 1
elif i in probabilities and probabilities[i] in (0, num_possibilities):
prob_solved_spaces += 1
solver.solve()
self.assertNotEqual(num_possibilities, 0)
self.assertEqual(prob_solved_spaces, len(solver.solved_spaces))
for spaces, total in informations:
expected_value = 0
for i in spaces:
if i in solver.solved_spaces:
expected_value += solver.solved_spaces[i] * num_possibilities
else:
expected_value += probabilities[i]
self.assertEqual(expected_value, num_possibilities * total)
self.assertEqual(actual_state, [solver.solved_spaces[i] for i in range(num_spaces)])
except:
print("State: %s" % actual_state)
print("Informations: %s" % informations)
raise
def run_random_unsolvable(self, rand):
num_spaces = rand.randint(1,15)
actual_state = [rand.randint(0,1) for x in range(num_spaces)]
informations = []
try:
solver = mines.Solver(range(num_spaces))
while len(solver.solved_spaces) != num_spaces:
solved_spaces = set(solver.solved_spaces)
unsolved_spaces = set(range(num_spaces)) - solved_spaces
spaces = choose_n(rand, rand.randint(1, len(unsolved_spaces)), unsolved_spaces) + \
choose_n(rand, rand.randint(0, len(solved_spaces)), solved_spaces)
num_mines = sum(actual_state[i] for i in spaces)
if len(informations) == 0:
new_num_mines = rand.randint(0, len(spaces)-1)
if new_num_mines == num_mines:
new_num_mines = len(spaces)
num_mines = new_num_mines
information = mines.Information(frozenset(spaces), num_mines)
informations.append(information)
solver.add_information(information)
probabilities, num_possibilities = solver.get_probabilities()
prob_solved_spaces = 0
for i in range(num_spaces):
if i in solver.solved_spaces:
prob_solved_spaces += 1
elif i in probabilities and probabilities[i] in (0, num_possibilities):
prob_solved_spaces += 1
solver.solve()
self.assertNotEqual(num_possibilities, 0) # unsolvable, solve() should have raised an exception
self.assertEqual(prob_solved_spaces, len(solver.solved_spaces))
for spaces, total in informations:
expected_value = 0
for i in spaces:
if i in solver.solved_spaces:
expected_value += solver.solved_spaces[i] * num_possibilities
else:
expected_value += probabilities[i]
self.assertEqual(expected_value, num_possibilities * total)
self.assertNotEqual(actual_state, [solver.solved_spaces[i] for i in range(num_spaces)])
except mines.UnsolveableException:
# expected
pass
except:
print("State: %s" % actual_state)
print("Informations: %s" % informations)
raise
def run_random_tests(self, seed):
try:
rand = random.Random(seed)
for i in range(500):
self.run_random_test(rand)
for i in range(500):
self.run_random_unsolvable(rand)
except:
print("Failing seed: %s" % seed)
raise
def test_random(self):
self.run_random_tests(random.SystemRandom().randint(-sys.maxsize-1, sys.maxsize))
if __name__ == '__main__':
unittest.main()