def my_TEST(Mfunc, Cfunc, mmin, mmax, is_iter): for m in range(mmin,mmax+1): if m == 0: ijprod = [()] else: ijprod = (True,False)+sum(((k,my_NOT(k)) for k in range(1,m+1)),()) ijprod = product(ijprod, repeat=m) for ij in ijprod: C = Clauses() Cpos = Clauses() Cneg = Clauses() for k in range(1,m+1): nm = 'x%d' % k C.new_var(nm) Cpos.new_var(nm) Cneg.new_var(nm) ij2 = tuple(C.from_index(k) if type(k) is int else k for k in ij) if is_iter: x = Cfunc.__get__(C,Clauses)(ij2) Cpos.Require(Cfunc.__get__(Cpos,Clauses), ij) Cneg.Prevent(Cfunc.__get__(Cneg,Clauses), ij) else: x = Cfunc.__get__(C,Clauses)(*ij2) Cpos.Require(Cfunc.__get__(Cpos,Clauses), *ij) Cneg.Prevent(Cfunc.__get__(Cneg,Clauses), *ij) tsol = Mfunc(*ij) if type(tsol) is bool: assert x is tsol, (ij2, Cfunc.__name__, C.clauses) assert Cpos.unsat == (not tsol) and not Cpos.clauses, (ij, 'Require(%s)') assert Cneg.unsat == tsol and not Cneg.clauses, (ij, 'Prevent(%s)') continue for sol in C.itersolve([(x,)]): qsol = Mfunc(*my_SOL(ij,sol)) assert qsol is True, (ij2, sol, Cfunc.__name__, C.clauses) for sol in Cpos.itersolve([]): qsol = Mfunc(*my_SOL(ij,sol)) assert qsol is True, (ij, sol,'Require(%s)' % Cfunc.__name__, Cpos.clauses) for sol in C.itersolve([(C.Not(x),)]): qsol = Mfunc(*my_SOL(ij,sol)) assert qsol is False, (ij2, sol, Cfunc.__name__, C.clauses) for sol in Cneg.itersolve([]): qsol = Mfunc(*my_SOL(ij,sol)) assert qsol is False, (ij, sol,'Prevent(%s)' % Cfunc.__name__, Cneg.clauses)
def test_LinearBound(): L = [ ([], [0, 1], 10), ([], [1, 2], 10), ({'x1':2, 'x2':2}, [3, 3], 10), ({'x1':2, 'x2':2}, [0, 1], 1000), ({'x1':1, 'x2':2}, [0, 2], 1000), ({'x1':2, '!x2':2}, [0, 2], 1000), ([(1, 1), (2, 2), (3, 3)], [3, 3], 1000), ([(0, 1), (1, 2), (2, 3), (0, 4), (1, 5), (0, 6), (1, 7)], [0, 2], 1000), ([(0, 1), (1, 2), (2, 3), (0, 4), (1, 5), (0, 6), (1, 7), (3, False), (2, True)], [2, 4], 1000), ([(1, 15), (2, 16), (3, 17), (4, 18), (5, 6), (5, 19), (6, 7), (6, 20), (7, 8), (7, 21), (7, 28), (8, 9), (8, 22), (8, 29), (8, 41), (9, 10), (9, 23), (9, 30), (9, 42), (10, 1), (10, 11), (10, 24), (10, 31), (10, 34), (10, 37), (10, 43), (10, 46), (10, 50), (11, 2), (11, 12), (11, 25), (11, 32), (11, 35), (11, 38), (11, 44), (11, 47), (11, 51), (12, 3), (12, 4), (12, 5), (12, 13), (12, 14), (12, 26), (12, 27), (12, 33), (12, 36), (12, 39), (12, 40), (12, 45), (12, 48), (12, 49), (12, 52), (12, 53), (12, 54)], [192, 204], 100), ] for eq, rhs, max_iter in L: if isinstance(eq, dict): N = len(eq) else: N = max([0]+[a for c,a in eq if a is not True and a is not False]) C = Clauses(N) Cpos = Clauses(N) Cneg = Clauses(N) if isinstance(eq, dict): for k in range(1,N+1): nm = 'x%d'%k C.name_var(k, nm) Cpos.name_var(k, nm) Cneg.name_var(k, nm) eq2 = [(v,C.from_name(c)) for c,v in iteritems(eq)] else: eq2 = eq x = C.LinearBound(eq, rhs[0], rhs[1]) Cpos.Require(Cpos.LinearBound, eq, rhs[0], rhs[1]) Cneg.Prevent(Cneg.LinearBound, eq, rhs[0], rhs[1]) if x is not False: for _, sol in zip(range(max_iter), C.itersolve([] if x is True else [(x,)],N)): assert rhs[0] <= my_EVAL(eq2,sol) <= rhs[1], C.clauses if x is not True: for _, sol in zip(range(max_iter), C.itersolve([] if x is True else [(C.Not(x),)],N)): assert not(rhs[0] <= my_EVAL(eq2,sol) <= rhs[1]), C.clauses for _, sol in zip(range(max_iter), Cpos.itersolve([],N)): assert rhs[0] <= my_EVAL(eq2,sol) <= rhs[1], ('Cpos',Cpos.clauses) for _, sol in zip(range(max_iter), Cneg.itersolve([],N)): assert not(rhs[0] <= my_EVAL(eq2,sol) <= rhs[1]), ('Cneg',Cneg.clauses)