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test_csp.py
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test_csp.py
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import pytest
from utils import failure_test
from csp import *
import random
random.seed("aima-python")
def test_csp_assign():
var = 10
val = 5
assignment = {}
australia.assign(var, val, assignment)
assert australia.nassigns == 1
assert assignment[var] == val
def test_csp_unassign():
var = 10
assignment = {var: 5}
australia.unassign(var, assignment)
assert var not in assignment
def test_csp_nconflits():
map_coloring_test = MapColoringCSP(list('RGB'), 'A: B C; B: C; C: ')
assignment = {'A': 'R', 'B': 'G'}
var = 'C'
val = 'R'
assert map_coloring_test.nconflicts(var, val, assignment) == 1
val = 'B'
assert map_coloring_test.nconflicts(var, val, assignment) == 0
def test_csp_actions():
map_coloring_test = MapColoringCSP(list('123'), 'A: B C; B: C; C: ')
state = {'A': '1', 'B': '2', 'C': '3'}
assert map_coloring_test.actions(state) == []
state = {'A': '1', 'B': '3'}
assert map_coloring_test.actions(state) == [('C', '2')]
state = {'A': '1', 'C': '2'}
assert map_coloring_test.actions(state) == [('B', '3')]
state = (('A', '1'), ('B', '3'))
assert map_coloring_test.actions(state) == [('C', '2')]
state = {'A': '1'}
assert (map_coloring_test.actions(state) == [('C', '2'), ('C', '3')] or
map_coloring_test.actions(state) == [('B', '2'), ('B', '3')])
def test_csp_result():
map_coloring_test = MapColoringCSP(list('123'), 'A: B C; B: C; C: ')
state = (('A', '1'), ('B', '3'))
action = ('C', '2')
assert map_coloring_test.result(state, action) == (('A', '1'), ('B', '3'), ('C', '2'))
def test_csp_goal_test():
map_coloring_test = MapColoringCSP(list('123'), 'A: B C; B: C; C: ')
state = (('A', '1'), ('B', '3'), ('C', '2'))
assert map_coloring_test.goal_test(state) is True
state = (('A', '1'), ('C', '2'))
assert map_coloring_test.goal_test(state) is False
def test_csp_support_pruning():
map_coloring_test = MapColoringCSP(list('123'), 'A: B C; B: C; C: ')
map_coloring_test.support_pruning()
assert map_coloring_test.curr_domains == {'A': ['1', '2', '3'], 'B': ['1', '2', '3'],
'C': ['1', '2', '3']}
def test_csp_suppose():
map_coloring_test = MapColoringCSP(list('123'), 'A: B C; B: C; C: ')
var = 'A'
value = '1'
removals = map_coloring_test.suppose(var, value)
assert removals == [('A', '2'), ('A', '3')]
assert map_coloring_test.curr_domains == {'A': ['1'], 'B': ['1', '2', '3'],
'C': ['1', '2', '3']}
def test_csp_prune():
map_coloring_test = MapColoringCSP(list('123'), 'A: B C; B: C; C: ')
removals = None
var = 'A'
value = '3'
map_coloring_test.support_pruning()
map_coloring_test.prune(var, value, removals)
assert map_coloring_test.curr_domains == {'A': ['1', '2'], 'B': ['1', '2', '3'],
'C': ['1', '2', '3']}
assert removals is None
map_coloring_test = MapColoringCSP(list('123'), 'A: B C; B: C; C: ')
removals = [('A', '2')]
map_coloring_test.support_pruning()
map_coloring_test.prune(var, value, removals)
assert map_coloring_test.curr_domains == {'A': ['1', '2'], 'B': ['1', '2', '3'],
'C': ['1', '2', '3']}
assert removals == [('A', '2'), ('A', '3')]
def test_csp_choices():
map_coloring_test = MapColoringCSP(list('123'), 'A: B C; B: C; C: ')
var = 'A'
assert map_coloring_test.choices(var) == ['1', '2', '3']
map_coloring_test.support_pruning()
removals = None
value = '3'
map_coloring_test.prune(var, value, removals)
assert map_coloring_test.choices(var) == ['1', '2']
def test_csp_infer_assignement():
map_coloring_test = MapColoringCSP(list('123'), 'A: B C; B: C; C: ')
map_coloring_test.infer_assignment() == {}
var = 'A'
value = '3'
map_coloring_test.prune(var, value, None)
value = '1'
map_coloring_test.prune(var, value, None)
map_coloring_test.infer_assignment() == {'A': '2'}
def test_csp_restore():
map_coloring_test = MapColoringCSP(list('123'), 'A: B C; B: C; C: ')
map_coloring_test.curr_domains = {'A': ['2', '3'], 'B': ['1'], 'C': ['2', '3']}
removals = [('A', '1'), ('B', '2'), ('B', '3')]
map_coloring_test.restore(removals)
assert map_coloring_test.curr_domains == {'A': ['2', '3', '1'], 'B': ['1', '2', '3'],
'C': ['2', '3']}
def test_csp_conflicted_vars():
map_coloring_test = MapColoringCSP(list('123'), 'A: B C; B: C; C: ')
current = {}
var = 'A'
val = '1'
map_coloring_test.assign(var, val, current)
var = 'B'
val = '3'
map_coloring_test.assign(var, val, current)
var = 'C'
val = '3'
map_coloring_test.assign(var, val, current)
conflicted_vars = map_coloring_test.conflicted_vars(current)
assert (conflicted_vars == ['B', 'C'] or conflicted_vars == ['C', 'B'])
def test_revise():
neighbors = parse_neighbors('A: B; B: ')
domains = {'A': [0], 'B': [4]}
constraints = lambda X, x, Y, y: x % 2 == 0 and (x+y) == 4
csp = CSP(variables=None, domains=domains, neighbors=neighbors, constraints=constraints)
csp.support_pruning()
Xi = 'A'
Xj = 'B'
removals = []
assert revise(csp, Xi, Xj, removals) is False
assert len(removals) == 0
domains = {'A': [0, 1, 2, 3, 4], 'B': [0, 1, 2, 3, 4]}
csp = CSP(variables=None, domains=domains, neighbors=neighbors, constraints=constraints)
csp.support_pruning()
assert revise(csp, Xi, Xj, removals) is True
assert removals == [('A', 1), ('A', 3)]
def test_AC3():
neighbors = parse_neighbors('A: B; B: ')
domains = {'A': [0, 1, 2, 3, 4], 'B': [0, 1, 2, 3, 4]}
constraints = lambda X, x, Y, y: x % 2 == 0 and (x+y) == 4 and y % 2 != 0
removals = []
csp = CSP(variables=None, domains=domains, neighbors=neighbors, constraints=constraints)
assert AC3(csp, removals=removals) is False
constraints = lambda X, x, Y, y: (x % 2) == 0 and (x+y) == 4
removals = []
csp = CSP(variables=None, domains=domains, neighbors=neighbors, constraints=constraints)
assert AC3(csp, removals=removals) is True
assert (removals == [('A', 1), ('A', 3), ('B', 1), ('B', 3)] or
removals == [('B', 1), ('B', 3), ('A', 1), ('A', 3)])
def test_first_unassigned_variable():
map_coloring_test = MapColoringCSP(list('123'), 'A: B C; B: C; C: ')
assignment = {'A': '1', 'B': '2'}
assert first_unassigned_variable(assignment, map_coloring_test) == 'C'
assignment = {'B': '1'}
assert (first_unassigned_variable(assignment, map_coloring_test) == 'A' or
first_unassigned_variable(assignment, map_coloring_test) == 'C')
def test_num_legal_values():
map_coloring_test = MapColoringCSP(list('123'), 'A: B C; B: C; C: ')
map_coloring_test.support_pruning()
var = 'A'
assignment = {}
assert num_legal_values(map_coloring_test, var, assignment) == 3
map_coloring_test = MapColoringCSP(list('RGB'), 'A: B C; B: C; C: ')
assignment = {'A': 'R', 'B': 'G'}
var = 'C'
assert num_legal_values(map_coloring_test, var, assignment) == 1
def test_mrv():
neighbors = parse_neighbors('A: B; B: C; C: ')
domains = {'A': [0, 1, 2, 3, 4], 'B': [4], 'C': [0, 1, 2, 3, 4]}
constraints = lambda X, x, Y, y: x % 2 == 0 and (x+y) == 4
csp = CSP(variables=None, domains=domains, neighbors=neighbors, constraints=constraints)
assignment = {'A': 0}
assert mrv(assignment, csp) == 'B'
domains = {'A': [0, 1, 2, 3, 4], 'B': [0, 1, 2, 3, 4], 'C': [0, 1, 2, 3, 4]}
csp = CSP(variables=None, domains=domains, neighbors=neighbors, constraints=constraints)
assert (mrv(assignment, csp) == 'B' or
mrv(assignment, csp) == 'C')
domains = {'A': [0, 1, 2, 3, 4], 'B': [0, 1, 2, 3, 4, 5, 6], 'C': [0, 1, 2, 3, 4]}
csp = CSP(variables=None, domains=domains, neighbors=neighbors, constraints=constraints)
csp.support_pruning()
assert mrv(assignment, csp) == 'C'
def test_unordered_domain_values():
map_coloring_test = MapColoringCSP(list('123'), 'A: B C; B: C; C: ')
assignment = None
assert unordered_domain_values('A', assignment, map_coloring_test) == ['1', '2', '3']
def test_lcv():
neighbors = parse_neighbors('A: B; B: C; C: ')
domains = {'A': [0, 1, 2, 3, 4], 'B': [0, 1, 2, 3, 4, 5], 'C': [0, 1, 2, 3, 4]}
constraints = lambda X, x, Y, y: x % 2 == 0 and (x+y) == 4
csp = CSP(variables=None, domains=domains, neighbors=neighbors, constraints=constraints)
assignment = {'A': 0}
var = 'B'
assert lcv(var, assignment, csp) == [4, 0, 1, 2, 3, 5]
assignment = {'A': 1, 'C': 3}
constraints = lambda X, x, Y, y: (x + y) % 2 == 0 and (x + y) < 5
csp = CSP(variables=None, domains=domains, neighbors=neighbors, constraints=constraints)
assert lcv(var, assignment, csp) == [1, 3, 0, 2, 4, 5]
def test_forward_checking():
neighbors = parse_neighbors('A: B; B: C; C: ')
domains = {'A': [0, 1, 2, 3, 4], 'B': [0, 1, 2, 3, 4, 5], 'C': [0, 1, 2, 3, 4]}
constraints = lambda X, x, Y, y: (x + y) % 2 == 0 and (x + y) < 8
csp = CSP(variables=None, domains=domains, neighbors=neighbors, constraints=constraints)
csp.support_pruning()
A_curr_domains = csp.curr_domains['A']
C_curr_domains = csp.curr_domains['C']
var = 'B'
value = 3
assignment = {'A': 1, 'C': '3'}
assert forward_checking(csp, var, value, assignment, None) == True
assert csp.curr_domains['A'] == A_curr_domains
assert csp.curr_domains['C'] == C_curr_domains
assignment = {'C': 3}
assert forward_checking(csp, var, value, assignment, None) == True
assert csp.curr_domains['A'] == [1, 3]
csp = CSP(variables=None, domains=domains, neighbors=neighbors, constraints=constraints)
csp.support_pruning()
assignment = {}
assert forward_checking(csp, var, value, assignment, None) == True
assert csp.curr_domains['A'] == [1, 3]
assert csp.curr_domains['C'] == [1, 3]
csp = CSP(variables=None, domains=domains, neighbors=neighbors, constraints=constraints)
domains = {'A': [0, 1, 2, 3, 4], 'B': [0, 1, 2, 3, 4, 7], 'C': [0, 1, 2, 3, 4]}
csp.support_pruning()
value = 7
assignment = {}
assert forward_checking(csp, var, value, assignment, None) == False
assert (csp.curr_domains['A'] == [] or csp.curr_domains['C'] == [])
def test_backtracking_search():
assert backtracking_search(australia)
assert backtracking_search(australia, select_unassigned_variable=mrv)
assert backtracking_search(australia, order_domain_values=lcv)
assert backtracking_search(australia, select_unassigned_variable=mrv,
order_domain_values=lcv)
assert backtracking_search(australia, inference=forward_checking)
assert backtracking_search(australia, inference=mac)
assert backtracking_search(usa, select_unassigned_variable=mrv,
order_domain_values=lcv, inference=mac)
def test_min_conflicts():
assert min_conflicts(australia)
assert min_conflicts(france)
tests = [(usa, None)] * 3
assert failure_test(min_conflicts, tests) >= 1/3
australia_impossible = MapColoringCSP(list('RG'), 'SA: WA NT Q NSW V; NT: WA Q; NSW: Q V; T: ')
assert min_conflicts(australia_impossible, 1000) is None
def test_universal_dict():
d = UniversalDict(42)
assert d['life'] == 42
def test_parse_neighbours():
assert parse_neighbors('X: Y Z; Y: Z') == {'Y': ['X', 'Z'], 'X': ['Y', 'Z'], 'Z': ['X', 'Y']}
def test_topological_sort():
root = 'NT'
Sort, Parents = topological_sort(australia,root)
assert Sort == ['NT','SA','Q','NSW','V','WA']
assert Parents['NT'] == None
assert Parents['SA'] == 'NT'
assert Parents['Q'] == 'SA'
assert Parents['NSW'] == 'Q'
assert Parents['V'] == 'NSW'
assert Parents['WA'] == 'SA'
def test_tree_csp_solver():
australia_small = MapColoringCSP(list('RB'),
'NT: WA Q; NSW: Q V')
tcs = tree_csp_solver(australia_small)
assert (tcs['NT'] == 'R' and tcs['WA'] == 'B' and tcs['Q'] == 'B' and tcs['NSW'] == 'R' and tcs['V'] == 'B') or \
(tcs['NT'] == 'B' and tcs['WA'] == 'R' and tcs['Q'] == 'R' and tcs['NSW'] == 'B' and tcs['V'] == 'R')
if __name__ == "__main__":
pytest.main()