def test_fully_cross_with_transition_in_design(design): block = fully_cross_block(design, [color, text], []) backend_request = BackendRequest(23) FullyCross.apply(block, backend_request) (expected_cnf, _) = to_cnf_tseitin( And([ Iff(23, And([1, 3])), Iff(24, And([1, 4])), Iff(25, And([2, 3])), Iff(26, And([2, 4])), Iff(27, And([5, 7])), Iff(28, And([5, 8])), Iff(29, And([6, 7])), Iff(30, And([6, 8])), Iff(31, And([9, 11])), Iff(32, And([9, 12])), Iff(33, And([10, 11])), Iff(34, And([10, 12])), Iff(35, And([13, 15])), Iff(36, And([13, 16])), Iff(37, And([14, 15])), Iff(38, And([14, 16])) ]), 39) assert backend_request.fresh == 72 assert backend_request.cnfs == [expected_cnf] assert backend_request.ll_requests == [ LowLevelRequest("GT", 0, [23, 27, 31, 35]), LowLevelRequest("GT", 0, [24, 28, 32, 36]), LowLevelRequest("GT", 0, [25, 29, 33, 37]), LowLevelRequest("GT", 0, [26, 30, 34, 38]) ]
def test_fully_cross_with_uncrossed_simple_factors(): other = Factor('other', ['l1', 'l2']) block = fully_cross_block([color, text, other], [color, text], []) backend_request = BackendRequest(25) FullyCross.apply(block, backend_request) (expected_cnf, _) = to_cnf_tseitin( And([ Iff(25, And([1, 3])), Iff(26, And([1, 4])), Iff(27, And([2, 3])), Iff(28, And([2, 4])), Iff(29, And([7, 9])), Iff(30, And([7, 10])), Iff(31, And([8, 9])), Iff(32, And([8, 10])), Iff(33, And([13, 15])), Iff(34, And([13, 16])), Iff(35, And([14, 15])), Iff(36, And([14, 16])), Iff(37, And([19, 21])), Iff(38, And([19, 22])), Iff(39, And([20, 21])), Iff(40, And([20, 22])) ]), 41) assert backend_request.fresh == 74 assert backend_request.cnfs == [expected_cnf] assert backend_request.ll_requests == [ LowLevelRequest("GT", 0, [25, 29, 33, 37]), LowLevelRequest("GT", 0, [26, 30, 34, 38]), LowLevelRequest("GT", 0, [27, 31, 35, 39]), LowLevelRequest("GT", 0, [28, 32, 36, 40]) ]
def test_fully_cross_simple(): block = fully_cross_block([color, text], [color, text], []) (expected_cnf, _) = to_cnf_tseitin( And([ Iff(17, And([1, 3])), Iff(18, And([1, 4])), Iff(19, And([2, 3])), Iff(20, And([2, 4])), Iff(21, And([5, 7])), Iff(22, And([5, 8])), Iff(23, And([6, 7])), Iff(24, And([6, 8])), Iff(25, And([9, 11])), Iff(26, And([9, 12])), Iff(27, And([10, 11])), Iff(28, And([10, 12])), Iff(29, And([13, 15])), Iff(30, And([13, 16])), Iff(31, And([14, 15])), Iff(32, And([14, 16])) ]), 33) backend_request = BackendRequest(17) FullyCross.apply(block, backend_request) assert backend_request.fresh == 66 assert backend_request.cnfs == [expected_cnf] assert backend_request.ll_requests == [ LowLevelRequest("GT", 0, [17, 21, 25, 29]), LowLevelRequest("GT", 0, [18, 22, 26, 30]), LowLevelRequest("GT", 0, [19, 23, 27, 31]), LowLevelRequest("GT", 0, [20, 24, 28, 32]) ]
def test_fully_cross_with_constraint(): (expected_cnf, _) = to_cnf_tseitin( And([ Iff(25, And([1, 3])), Iff(26, And([1, 4])), Iff(27, And([2, 3])), Iff(28, And([2, 4])), Iff(29, And([7, 9])), Iff(30, And([7, 10])), Iff(31, And([8, 9])), Iff(32, And([8, 10])), Iff(33, And([13, 15])), Iff(34, And([13, 16])), Iff(35, And([14, 15])), Iff(36, And([14, 16])), Iff(37, And([19, 21])), Iff(38, And([19, 22])), Iff(39, And([20, 21])), Iff(40, And([20, 22])) ]), 41) backend_request = BackendRequest(25) FullyCross.apply(block, backend_request) assert backend_request.fresh == 74 assert backend_request.cnfs == [expected_cnf] assert backend_request.ll_requests == [ LowLevelRequest("GT", 0, [25, 29, 33, 37]), LowLevelRequest("GT", 0, [26, 30, 34, 38]), LowLevelRequest("GT", 0, [27, 31, 35, 39]), LowLevelRequest("GT", 0, [28, 32, 36, 40]) ]
def test_nomorethankinarow_sugar(): backend_request = __run_kinarow( NoMoreThanKInARow(1, (color, get_level_from_name(color, "red")))) assert backend_request.ll_requests == [ LowLevelRequest("LT", 2, [1, 7]), LowLevelRequest("LT", 2, [7, 13]), LowLevelRequest("LT", 2, [13, 19]) ]
def test_low_level_request_validation(): # Acceptable requests LowLevelRequest('EQ', 1, [1, 2, 3]) LowLevelRequest('LT', 1, [1, 2, 3]) LowLevelRequest('GT', 1, [1, 2, 3]) # Invalid comparison with pytest.raises(ValueError): LowLevelRequest('bad', 1, [1, 2, 3]) # Non-numeric k with pytest.raises(ValueError): LowLevelRequest('EQ', '5', [1, 2, 3])
def test_consistency(): # From standard example # [ LowLevelRequest("EQ", 1, [1, 2]), LowLevelRequest("EQ", 1, [3, 4]), ...] backend_request = BackendRequest(0) Consistency.apply(block, backend_request) assert backend_request.ll_requests == \ list(map(lambda x: LowLevelRequest("EQ", 1, [x, x+1]), range(1, 24, 2))) # Different case backend_request = BackendRequest(0) f = Factor("a", ["b", "c", "d", "e"]) f_block = fully_cross_block([f], [f], []) Consistency.apply(f_block, backend_request) assert backend_request.ll_requests == \ list(map(lambda x: LowLevelRequest("EQ", 1, [x, x+1, x+2, x+3]), range(1, 16, 4))) # Varied level lengths backend_request = BackendRequest(0) f1 = Factor("a", ["b", "c", "d"]) f2 = Factor("e", ["f"]) f_block = fully_cross_block([f1, f2], [f1, f2], []) Consistency.apply(f_block, backend_request) assert backend_request.ll_requests == [ LowLevelRequest("EQ", 1, [1, 2, 3]), LowLevelRequest("EQ", 1, [4]), LowLevelRequest("EQ", 1, [5, 6, 7]), LowLevelRequest("EQ", 1, [8]), LowLevelRequest("EQ", 1, [9, 10, 11]), LowLevelRequest("EQ", 1, [12]) ]
def apply(block: Block, backend_request: BackendRequest) -> None: next_var = 1 for _ in range(block.trials_per_sample()): for f in filter(lambda f: not f.has_complex_window, block.design): number_of_levels = len(f.levels) new_request = LowLevelRequest("EQ", 1, list(range(next_var, next_var + number_of_levels))) backend_request.ll_requests.append(new_request) next_var += number_of_levels for f in filter(lambda f: f.has_complex_window, block.design): variables_for_factor = block.variables_for_factor(f) var_list = list(map(lambda n: n + next_var, range(variables_for_factor))) chunks = list(chunk_list(var_list, len(f.levels))) backend_request.ll_requests += list(map(lambda v: LowLevelRequest("EQ", 1, v), chunks)) next_var += variables_for_factor
def apply_to_backend_request(self, block: Block, level: Tuple[Factor, Union[SimpleLevel, DerivedLevel]], backend_request: BackendRequest ) -> None: sublists = block.build_variable_list(level) backend_request.ll_requests.append(LowLevelRequest("EQ", self.k, sublists))
def test_nomorethankinarow_with_transition(design): block = fully_cross_block(design, [color, text], []) backend_request = __run_nomorethankinarow( NoMoreThanKInARow(1, ("color repeats?", "yes")), block) assert backend_request.ll_requests == [ LowLevelRequest("LT", 2, [17, 19]), LowLevelRequest("LT", 2, [19, 21]) ] backend_request = __run_nomorethankinarow( NoMoreThanKInARow(1, ("color repeats?", "no")), block) assert backend_request.ll_requests == [ LowLevelRequest("LT", 2, [18, 20]), LowLevelRequest("LT", 2, [20, 22]) ]
def test_consistency_with_multiple_transitions(design): block = fully_cross_block(design, [color, text], []) backend_request = BackendRequest(0) Consistency.apply(block, backend_request) assert backend_request.ll_requests == \ list(map(lambda x: LowLevelRequest("EQ", 1, [x, x+1]), range(1, 28, 2)))
def test_nomorethankinarow_with_multiple_transitions(): block = fully_cross_block( [color, text, color_repeats_factor, text_repeats_factor], [color, text], []) backend_request = __run_nomorethankinarow( NoMoreThanKInARow(1, ("text repeats?", "yes")), block) assert backend_request.ll_requests == [ LowLevelRequest("LT", 2, [23, 25]), LowLevelRequest("LT", 2, [25, 27]) ] backend_request = __run_nomorethankinarow( NoMoreThanKInARow(1, ("text repeats?", "no")), block) assert backend_request.ll_requests == [ LowLevelRequest("LT", 2, [24, 26]), LowLevelRequest("LT", 2, [26, 28]) ]
def test_consistency_with_transition(design): block = fully_cross_block(design, [color, text], []) backend_request = BackendRequest(0) Consistency.apply(block, backend_request) # Because the color_repeats_factor doesn't apply to the first trial, (there isn't a previous trial # to compare to) the variables only go up to 22. assert backend_request.ll_requests == \ list(map(lambda x: LowLevelRequest("EQ", 1, [x, x+1]), range(1, 22, 2)))
def apply(block: MultipleCrossBlock, backend_request: BackendRequest) -> None: # Treat each crossing seperately, and repeat the same process as fullycross for c in block.crossing: fresh = backend_request.fresh # Step 1: Get a list of the trials that are involved in the crossing. crossing_size = max(block.min_trials, block.crossing_size()) crossing_trials = list(filter(lambda t: all(map(lambda f: f.applies_to_trial(t), c)), range(1, block.trials_per_sample() + 1))) crossing_trials = crossing_trials[:crossing_size] # Step 2: For each trial, cross all levels of all factors in the crossing. crossing_factors = list(map(lambda t: (list(product(*[block.factor_variables_for_trial(f, t) for f in c]))), crossing_trials)) # Step 3: For each trial, cross all levels of all design-only factors in the crossing. design_factors = cast(List[List[List[int]]], []) design_factors = list(map(lambda _: [], crossing_trials)) for f in list(filter(lambda f: f not in c and not f.has_complex_window, block.design)): for i, t in enumerate(crossing_trials): design_factors[i].append(block.factor_variables_for_trial(f, t)) design_combinations = cast(List[List[Tuple[int, ...]]], []) design_combinations = list(map(lambda l: list(product(*l)), design_factors)) # Step 4: For each trial, combine each of the crossing factors with all of the design-only factors. crossings = cast(List[List[List[Tuple[int, ...]]]], []) for i, t in enumerate(crossing_trials): crossings.append(list(map(lambda c: [c] + design_combinations[i], crossing_factors[i]))) # Step 5: Remove crossings that are not possible. # From here on ignore all values other than the first in every list. crossings = block.filter_excluded_derived_levels(crossings) # Step 6: Allocate additional variables to represent each crossing. num_state_vars = list(map(lambda c: len(c), crossings)) state_vars = list(range(fresh, fresh + sum(num_state_vars))) fresh += sum(num_state_vars) # Step 7: Associate each state variable with its crossing. flattened_crossings = list(chain.from_iterable(crossings)) iffs = list(map(lambda n: Iff(state_vars[n], And([*flattened_crossings[n][0]])), range(len(state_vars)))) # Step 8: Constrain each crossing to occur in only one trial. states = list(chunk(state_vars, block.crossing_size())) transposed = cast(List[List[int]], list(map(list, zip(*states)))) # We Use n < 2 rather than n = 1 here because they may exclude some levels from the crossing. # This ensures that there won't be duplicates, while still allowing some to be missing. # backend_request.ll_requests += list(map(lambda l: LowLevelRequest("LT", 2, l), transposed)) backend_request.ll_requests += list(map(lambda l: LowLevelRequest("GT", 0, l), transposed)) (cnf, new_fresh) = block.cnf_fn(And(iffs), fresh) backend_request.cnfs.append(cnf) backend_request.fresh = new_fresh
def test_atmostkinarow_with_transition(design): block = fully_cross_block(design, [color, text], []) backend_request = __run_kinarow( AtMostKInARow(1, (color_repeats_factor, get_level_from_name(color_repeats_factor, "yes"))), block) assert backend_request.ll_requests == [ LowLevelRequest("LT", 2, [17, 19]), LowLevelRequest("LT", 2, [19, 21]) ] backend_request = __run_kinarow( AtMostKInARow(1, (color_repeats_factor, get_level_from_name(color_repeats_factor, "no"))), block) assert backend_request.ll_requests == [ LowLevelRequest("LT", 2, [18, 20]), LowLevelRequest("LT", 2, [20, 22]) ]
def test_consistency_with_general_window(): design = [color, text, congruent_bookend] crossing = [color, text] block = fully_cross_block(design, crossing, []) backend_request = BackendRequest(0) Consistency.apply(block, backend_request) assert backend_request.ll_requests == [ LowLevelRequest("EQ", 1, [1, 2]), LowLevelRequest("EQ", 1, [3, 4]), LowLevelRequest("EQ", 1, [5, 6]), LowLevelRequest("EQ", 1, [7, 8]), LowLevelRequest("EQ", 1, [9, 10]), LowLevelRequest("EQ", 1, [11, 12]), LowLevelRequest("EQ", 1, [13, 14]), LowLevelRequest("EQ", 1, [15, 16]), LowLevelRequest("EQ", 1, [17, 18]), LowLevelRequest("EQ", 1, [19, 20]) ]
def test_atmostkinarow_with_multiple_transitions(): block = fully_cross_block( [color, text, color_repeats_factor, text_repeats_factor], [color, text], []) backend_request = __run_kinarow( AtMostKInARow(1, (text_repeats_factor, get_level_from_name(text_repeats_factor, "yes"))), block) assert backend_request.ll_requests == [ LowLevelRequest("LT", 2, [23, 25]), LowLevelRequest("LT", 2, [25, 27]) ] backend_request = __run_kinarow( AtMostKInARow(1, (text_repeats_factor, get_level_from_name(text_repeats_factor, "no"))), block) assert backend_request.ll_requests == [ LowLevelRequest("LT", 2, [24, 26]), LowLevelRequest("LT", 2, [26, 28]) ]
def test_fully_cross_with_transition_in_crossing(): direction = Factor("direction", ["up", "down"]) block = fully_cross_block([direction, color, color_repeats_factor], [direction, color_repeats_factor], []) backend_request = BackendRequest(29) FullyCross.apply(block, backend_request) (expected_cnf, _) = to_cnf_tseitin( And([ Iff(29, And([5, 21])), Iff(30, And([5, 22])), Iff(31, And([6, 21])), Iff(32, And([6, 22])), Iff(33, And([9, 23])), Iff(34, And([9, 24])), Iff(35, And([10, 23])), Iff(36, And([10, 24])), Iff(37, And([13, 25])), Iff(38, And([13, 26])), Iff(39, And([14, 25])), Iff(40, And([14, 26])), Iff(41, And([17, 27])), Iff(42, And([17, 28])), Iff(43, And([18, 27])), Iff(44, And([18, 28])), ]), 45) assert backend_request.fresh == 78 assert backend_request.cnfs == [expected_cnf] assert backend_request.ll_requests == [ LowLevelRequest("GT", 0, [29, 33, 37, 41]), LowLevelRequest("GT", 0, [30, 34, 38, 42]), LowLevelRequest("GT", 0, [31, 35, 39, 43]), LowLevelRequest("GT", 0, [32, 36, 40, 44]) ]
def test_consistency_with_transition_first_and_uneven_level_lengths(): color3 = Factor("color3", ["red", "blue", "green"]) yes_fn = lambda colors: colors[0] == colors[1] == colors[2] no_fn = lambda colors: not yes_fn(colors) color3_repeats_factor = Factor("color3 repeats?", [ DerivedLevel("yes", Window(yes_fn, [color3], 3, 1)), DerivedLevel("no", Window(no_fn, [color3], 3, 1)) ]) block = fully_cross_block([color3_repeats_factor, color3, text], [color3, text], []) backend_request = BackendRequest(0) Consistency.apply(block, backend_request) assert backend_request.ll_requests == [ LowLevelRequest("EQ", 1, [1, 2, 3]), LowLevelRequest("EQ", 1, [4, 5]), LowLevelRequest("EQ", 1, [6, 7, 8]), LowLevelRequest("EQ", 1, [9, 10]), LowLevelRequest("EQ", 1, [11, 12, 13]), LowLevelRequest("EQ", 1, [14, 15]), LowLevelRequest("EQ", 1, [16, 17, 18]), LowLevelRequest("EQ", 1, [19, 20]), LowLevelRequest("EQ", 1, [21, 22, 23]), LowLevelRequest("EQ", 1, [24, 25]), LowLevelRequest("EQ", 1, [26, 27, 28]), LowLevelRequest("EQ", 1, [29, 30]), LowLevelRequest("EQ", 1, [31, 32]), LowLevelRequest("EQ", 1, [33, 34]), LowLevelRequest("EQ", 1, [35, 36]), LowLevelRequest("EQ", 1, [37, 38]) ]
def test_nomorethankinarow(): backend_request = __run_nomorethankinarow(NoMoreThanKInARow(3, color)) assert backend_request.ll_requests == [ LowLevelRequest("LT", 4, [1, 7, 13, 19]), LowLevelRequest("LT", 4, [2, 8, 14, 20]) ] backend_request = __run_nomorethankinarow( NoMoreThanKInARow(1, ("color", "red"))) assert backend_request.ll_requests == [ LowLevelRequest("LT", 2, [1, 7]), LowLevelRequest("LT", 2, [7, 13]), LowLevelRequest("LT", 2, [13, 19]) ] backend_request = __run_nomorethankinarow( NoMoreThanKInARow(2, ("color", "red"))) assert backend_request.ll_requests == [ LowLevelRequest("LT", 3, [1, 7, 13]), LowLevelRequest("LT", 3, [7, 13, 19]) ] backend_request = __run_nomorethankinarow( NoMoreThanKInARow(1, ("color", "blue"))) assert backend_request.ll_requests == [ LowLevelRequest("LT", 2, [2, 8]), LowLevelRequest("LT", 2, [8, 14]), LowLevelRequest("LT", 2, [14, 20]) ] backend_request = __run_nomorethankinarow( NoMoreThanKInARow(2, ("color", "blue"))) assert backend_request.ll_requests == [ LowLevelRequest("LT", 3, [2, 8, 14]), LowLevelRequest("LT", 3, [8, 14, 20]) ] backend_request = __run_nomorethankinarow( NoMoreThanKInARow(3, ("congruent?", "con"))) assert backend_request.ll_requests == [ LowLevelRequest("LT", 4, [5, 11, 17, 23]) ] backend_request = __run_nomorethankinarow( NoMoreThanKInARow(0, ("congruent?", "con"))) assert backend_request.ll_requests == [ LowLevelRequest("LT", 1, [5]), LowLevelRequest("LT", 1, [11]), LowLevelRequest("LT", 1, [17]), LowLevelRequest("LT", 1, [23]) ]
def test_atmostkinarow(): backend_request = __run_kinarow(AtMostKInARow(3, color)) assert backend_request.ll_requests == [ LowLevelRequest("LT", 4, [1, 7, 13, 19]), LowLevelRequest("LT", 4, [2, 8, 14, 20]) ] backend_request = __run_kinarow( AtMostKInARow(1, (color, get_level_from_name(color, "red")))) assert backend_request.ll_requests == [ LowLevelRequest("LT", 2, [1, 7]), LowLevelRequest("LT", 2, [7, 13]), LowLevelRequest("LT", 2, [13, 19]) ] backend_request = __run_kinarow( AtMostKInARow(2, (color, get_level_from_name(color, "red")))) assert backend_request.ll_requests == [ LowLevelRequest("LT", 3, [1, 7, 13]), LowLevelRequest("LT", 3, [7, 13, 19]) ] backend_request = __run_kinarow( AtMostKInARow(1, (color, get_level_from_name(color, "blue")))) assert backend_request.ll_requests == [ LowLevelRequest("LT", 2, [2, 8]), LowLevelRequest("LT", 2, [8, 14]), LowLevelRequest("LT", 2, [14, 20]) ] backend_request = __run_kinarow( AtMostKInARow(2, (color, get_level_from_name(color, "blue")))) assert backend_request.ll_requests == [ LowLevelRequest("LT", 3, [2, 8, 14]), LowLevelRequest("LT", 3, [8, 14, 20]) ] backend_request = __run_kinarow( AtMostKInARow(3, (con_factor, get_level_from_name(con_factor, "con")))) assert backend_request.ll_requests == [ LowLevelRequest("LT", 4, [5, 11, 17, 23]) ]
def apply_to_backend_request(self, block: Block, level: Tuple[Factor, Union[SimpleLevel, DerivedLevel]], backend_request: BackendRequest) -> None: sublists = self._build_variable_sublists(block, level, self.k + 1) # Build the requests backend_request.ll_requests += list(map(lambda l: LowLevelRequest("LT", self.k + 1, l), sublists))
def test_fully_cross_with_three_factors(): (expected_cnf, _) = to_cnf_tseitin( And([ Iff(65, And([3, 5, 7])), Iff(66, And([3, 5, 8])), Iff(67, And([3, 6, 7])), Iff(68, And([3, 6, 8])), Iff(69, And([4, 5, 7])), Iff(70, And([4, 5, 8])), Iff(71, And([4, 6, 7])), Iff(72, And([4, 6, 8])), Iff(73, And([11, 13, 15])), Iff(74, And([11, 13, 16])), Iff(75, And([11, 14, 15])), Iff(76, And([11, 14, 16])), Iff(77, And([12, 13, 15])), Iff(78, And([12, 13, 16])), Iff(79, And([12, 14, 15])), Iff(80, And([12, 14, 16])), Iff(81, And([19, 21, 23])), Iff(82, And([19, 21, 24])), Iff(83, And([19, 22, 23])), Iff(84, And([19, 22, 24])), Iff(85, And([20, 21, 23])), Iff(86, And([20, 21, 24])), Iff(87, And([20, 22, 23])), Iff(88, And([20, 22, 24])), Iff(89, And([27, 29, 31])), Iff(90, And([27, 29, 32])), Iff(91, And([27, 30, 31])), Iff(92, And([27, 30, 32])), Iff(93, And([28, 29, 31])), Iff(94, And([28, 29, 32])), Iff(95, And([28, 30, 31])), Iff(96, And([28, 30, 32])), Iff(97, And([35, 37, 39])), Iff(98, And([35, 37, 40])), Iff(99, And([35, 38, 39])), Iff(100, And([35, 38, 40])), Iff(101, And([36, 37, 39])), Iff(102, And([36, 37, 40])), Iff(103, And([36, 38, 39])), Iff(104, And([36, 38, 40])), Iff(105, And([43, 45, 47])), Iff(106, And([43, 45, 48])), Iff(107, And([43, 46, 47])), Iff(108, And([43, 46, 48])), Iff(109, And([44, 45, 47])), Iff(110, And([44, 45, 48])), Iff(111, And([44, 46, 47])), Iff(112, And([44, 46, 48])), Iff(113, And([51, 53, 55])), Iff(114, And([51, 53, 56])), Iff(115, And([51, 54, 55])), Iff(116, And([51, 54, 56])), Iff(117, And([52, 53, 55])), Iff(118, And([52, 53, 56])), Iff(119, And([52, 54, 55])), Iff(120, And([52, 54, 56])), Iff(121, And([59, 61, 63])), Iff(122, And([59, 61, 64])), Iff(123, And([59, 62, 63])), Iff(124, And([59, 62, 64])), Iff(125, And([60, 61, 63])), Iff(126, And([60, 61, 64])), Iff(127, And([60, 62, 63])), Iff(128, And([60, 62, 64])), ]), 129) backend_request = BackendRequest(65) FullyCross.apply(block, backend_request) assert backend_request.fresh == 258 assert backend_request.cnfs == [expected_cnf] assert backend_request.ll_requests == [ LowLevelRequest("GT", 0, [65, 73, 81, 89, 97, 105, 113, 121]), LowLevelRequest("GT", 0, [66, 74, 82, 90, 98, 106, 114, 122]), LowLevelRequest("GT", 0, [67, 75, 83, 91, 99, 107, 115, 123]), LowLevelRequest("GT", 0, [68, 76, 84, 92, 100, 108, 116, 124]), LowLevelRequest("GT", 0, [69, 77, 85, 93, 101, 109, 117, 125]), LowLevelRequest("GT", 0, [70, 78, 86, 94, 102, 110, 118, 126]), LowLevelRequest("GT", 0, [71, 79, 87, 95, 103, 111, 119, 127]), LowLevelRequest("GT", 0, [72, 80, 88, 96, 104, 112, 120, 128]) ]