/
tautology_test.py
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/
tautology_test.py
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#!/usr/bin/env python
import unittest
from utils import infixToPostfix, evaluateExpr, postfixToExpressionTree, evaluateExprTree
from treeNode import TreeNode
from tautology import PropositionStatement
class TestInfixToPostfix(unittest.TestCase):
def test_simple_expr(self):
expr = 'a'
self.assertEqual(infixToPostfix(expr), 'a')
def test_simple_expr_braces(self):
expr = 'a&b'
self.assertEqual(infixToPostfix(expr), 'ab&')
def test_complex_expr_braces(self):
expr = 'a & (b | c)'
self.assertEqual(infixToPostfix(expr), 'abc|&')
def test_expr_with_not(self):
expr = '!a & !b'
self.assertEqual(infixToPostfix(expr), 'a!b!&')
def test_expr_with_not_same(self):
expr = 'a & !a'
self.assertEqual(infixToPostfix(expr), 'aa!&')
def test_expr_with_not_complex(self):
expr = '(a & (!b | b)) | (!a & (!b | b))'
self.assertEqual(infixToPostfix(expr), 'ab!b|&a!b!b|&|')
class TestEvaluateExpr(unittest.TestCase):
def test_evaluate_expr_simple(self):
expr = 'a'
variableMap = {'a' : 0}
postfix = infixToPostfix(expr)
self.assertEqual(evaluateExpr(postfix, variableMap), 0)
def test_evaluate_expr_true(self):
expr = 'a | !a'
variableMap = {'a' : 0}
postfix = infixToPostfix(expr)
root = postfixToExpressionTree(postfix)
root.in_traversal()
print('')
self.assertEqual(evaluateExpr(postfix, variableMap), 1)
def test_evaluate_complex_expr(self):
expr = '(a & (!b | b)) | (!a & (!b | b))'
variableMap = {'a' : 0, 'b' : 1}
postfix = infixToPostfix(expr)
root = postfixToExpressionTree(postfix)
root.in_traversal()
print('')
self.assertEqual(evaluateExpr(postfix, variableMap), 1)
def test_evaluate_3var_expr(self):
expr = 'a & b | c'
variableMap = {'a' : 0, 'b' : 1 , 'c' : 0 }
postfix = infixToPostfix(expr)
root = postfixToExpressionTree(postfix)
root.in_traversal()
print('')
self.assertEqual(evaluateExpr(postfix, variableMap), 0)
class TestTautology(unittest.TestCase):
def test_tautology_expr_simple(self):
expr = 'a'
s = PropositionStatement(expr)
self.assertEqual(s.isTautology(), False)
def test_tautology_expr_true(self):
expr = 'a | !a'
s = PropositionStatement(expr)
self.assertEqual(s.isTautology(), True)
def test_tautology_complex_expr(self):
expr = '(a & (!b | b)) | (!a & (!b | b))'
s = PropositionStatement(expr)
self.assertEqual(s.isTautology(), True)
def test_tautology_3var_expr(self):
expr = 'a & b | c'
s = PropositionStatement(expr)
self.assertEqual(s.isTautology(), False)
def test_tautology_1var_expr(self):
expr = '(!a | (a & a))'
s = PropositionStatement(expr)
self.assertEqual(s.isTautology(), True)
def test_tautology_2var_expr(self):
expr = '(!a | (b & !a))'
s = PropositionStatement(expr)
self.assertEqual(s.isTautology(), False)
def test_tautology_4var_expr(self):
expr = '(a & b) | (!a & b) | (c & d) | (!c & d)'
s = PropositionStatement(expr)
self.assertEqual(s.isTautology(), False)
def test_tautology_4var_expr_with_negations(self):
expr = '(a & b) | (!a & b) | (c & d) | (!c & d) | (!b & !d)'
s = PropositionStatement(expr)
self.assertEqual(s.isTautology(), True)
def test_tautology_4var_expr_all_negations_but_one(self):
expr = '((a & b) | (!a & b) | (c & d)) | ((!c & d) | (!b & d))'
s = PropositionStatement(expr)
self.assertEqual(s.isTautology(), False)
def test_tautology_4var_expr_all_negations_but_one_with_or(self):
expr = '(a & b) | (!a & b) | (c & d) | (!c & d) | (!b | d)'
s = PropositionStatement(expr)
self.assertEqual(s.isTautology(), True)
def test_tautology_4var_expr_all_negations_but_one_with_or_divided(self):
expr = '((a & b) | (!a & b) | (c & d)) | ((!c & d) | (!b | d))'
s = PropositionStatement(expr)
self.assertEqual(s.isTautology(), True)
def test_tautology_divided_by_true_with_expression(self):
expr = '((!a | a) | ((a & b) | (c | d) | (d & e) & (f & g)))'
s = PropositionStatement(expr)
self.assertEqual(s.isTautology(), True)
def test_tautology_divided_by_true_with_expression_and(self):
expr = '((!a | a) & ((a & b) | (c | d) | (d & e) & (f & g)))'
s = PropositionStatement(expr)
self.assertEqual(s.isTautology(), False)
def test_tautology_divided_by_true_with_expression_and_or(self):
expr = '((!a & a) | ((a & b) | (c | d) | (d & e) & (f & g)))'
s = PropositionStatement(expr)
self.assertEqual(s.isTautology(), False)
class TestEvaluateExprFromTree(unittest.TestCase):
def test_tree_evalute_expr_simple(self):
expr = 'a'
variableMap = {'a' : 0}
postfix = infixToPostfix(expr)
root = postfixToExpressionTree(postfix)
self.assertEqual(evaluateExprTree(root, variableMap), 0)
def test_tree_evaluate_expr_true(self):
expr = 'a | !a'
variableMap = {'a' : 0}
postfix = infixToPostfix(expr)
root = postfixToExpressionTree(postfix)
self.assertEqual(evaluateExprTree(root, variableMap), 1)
def test_tree_evaluate_complex_expr(self):
expr = '(a & (!b | b)) | (!a & (!b | b))'
variableMap = {'a' : 0, 'b' : 1}
postfix = infixToPostfix(expr)
root = postfixToExpressionTree(postfix)
self.assertEqual(evaluateExprTree(root, variableMap), 1)
def test_tree_evaluate_3var_expr(self):
expr = 'a & b | c'
variableMap = {'a' : 0, 'b' : 1 , 'c' : 0 }
postfix = infixToPostfix(expr)
root = postfixToExpressionTree(postfix)
self.assertEqual(evaluateExprTree(root, variableMap), 0)
#main
if __name__ == '__main__':
unittest.main()