def test_congruence_by_pairs1(self):
ReportGuard(False)
S = FroidurePin(Transformation([1, 0, 1]), Transformation([0, 0, 0]))
C = CongruenceByPairs("left", S)
C.add_pair([0], [1])
self.assertEqual(C.nr_classes(), 1)
self.assertEqual(S.size(), 4)
def test_idempotents(self):
S = FroidurePin(Transformation([1, 0, 1]), Transformation([0, 0, 0]))
self.assertEqual(
list(S.idempotents()),
[
Transformation([0, 0, 0]),
Transformation([0, 1, 0]),
Transformation([1, 1, 1]),
],
)
def test_deleted_methods(self):
S = FroidurePin(Transformation([1, 0, 1]))
with self.assertRaises(LibsemigroupsCppyyException):
S.add_generators()
with self.assertRaises(LibsemigroupsCppyyException):
S.copy_add_generators()
with self.assertRaises(LibsemigroupsCppyyException):
S.closure()
with self.assertRaises(LibsemigroupsCppyyException):
S.copy_closure()
def test_036(self):
S = FroidurePin(Transformation([1, 3, 4, 2, 3]),
Transformation([3, 2, 1, 3, 3]))
tc = ToddCoxeter("twosided")
tc.set_nr_generators(2)
tc.add_pair([0], [1])
tc.add_pair([0, 0], [0])
self.assertEqual(tc.nr_classes(), 1)
with self.assertRaises(LibsemigroupsException):
tc.prefill(S.right_cayley_graph())
def test_sorted_elements(self):
S = FroidurePin(Transformation([1, 0, 1]), Transformation([0, 0, 0]))
expected = [
Transformation([0, 0, 0]),
Transformation([0, 1, 0]),
Transformation([1, 0, 1]),
Transformation([1, 1, 1]),
]
self.assertEqual(list(S.sorted_elements()), expected)
self.assertEqual(S.sorted_elements()[:2], expected[:2])
self.assertEqual(S.sorted_elements()[::-1], expected[::-1])
def test_init(self):
FroidurePin(Transformation([1, 0, 1]), Transformation([0, 0, 0]))
with self.assertRaises(KeyError):
FroidurePin()
with self.assertRaises(ValueError):
FroidurePin(PartialPerm([1, 2], [0, 1], 3), Transformation([0, 1]))
with self.assertRaises(TypeError):
FroidurePin({2, 3})
def test_prefixes_and_suffixes(self):
S = FroidurePin(Transformation(list(range(1, 5)) + [0]))
self.assertEqual(S.prefix(0), 18446744073709551615)
for i in range(1, S.size()):
self.assertEqual(S.prefix(i), i - 1)
self.assertEqual(S.suffix(i), i - 1)
self.assertEqual(S.first_letter(i), 0)
self.assertEqual(S.final_letter(i), 0)
def check_initialisation(self, t):
ReportGuard(False)
x = t()
x.set_alphabet("ba")
x.add_rule([0, 1], [1, 0])
with self.assertRaises(TypeError):
x.add_rule([0, 1], [2])
S = FroidurePin(Transformation([1, 2, 0]), Transformation([1, 0, 2]))
x.add_rules(S)
self.assertEqual(x.size(), 2)
x = t()
x.set_alphabet("abBe")
x.set_identity("e")
x.set_inverses("aBbe")
x.add_rule("bb", "B")
x.add_rule("BaBa", "abab")
self.assertEqual(x.size(), 24)
x = t()
x.set_alphabet(1)
x.set_identity(0)
self.assertEqual(x.size(), 1)
def test_iterator(self):
S = FroidurePin(Transformation([1, 0, 1]), Transformation([0, 0, 0]))
self.assertEqual(
list(S),
[
Transformation([1, 0, 1]),
Transformation([0, 0, 0]),
Transformation([0, 1, 0]),
Transformation([1, 1, 1]),
],
)
def test_products(self):
S = FroidurePin(Transformation(list(range(1, 5)) + [0]))
S.run()
for i in range(5):
for j in range(5):
self.assertEqual(S.fast_product(i, j), ((i + j + 1) % 5))
self.assertEqual(S.product_by_reduction(i, j), ((i + j + 1) % 5))
def test_constructors(self):
ReportGuard(False)
S = FroidurePin(Transformation([1, 0, 1]), Transformation([0, 0, 0]))
T = FpSemigroup(S)
self.assertFalse(T.has_froidure_pin())
if compare_version_numbers(libsemigroups_version(), "1.1.0"):
self.assertEqual(S.nr_rules(), T.nr_rules())
self.assertEqual(
S.rules(),
[[[0, 1], [1]], [[1, 1], [1]], [[0, 0, 0], [0]], [[1, 0, 0], [1]]],
)
self.assertEqual(
T.rules(),
[
["\x01\x02", "\x02"],
["\x02\x02", "\x02"],
["\x01\x01\x01", "\x01"],
["\x02\x01\x01", "\x02"],
],
)
self.assertEqual(T.size(), S.size())
def test_basic(self):
ReportGuard(False)
s1 = PythonElement(1)
s2 = PythonElement(2)
s3 = PythonElement(3)
self.assertEqual(s3.get_value(), 3)
self.assertTrue(not s1 < s1)
self.assertTrue(s1 < s2)
s = s2 * s3
self.assertEqual(s.get_value(), 6) # Fails with Sage Integers
S = FroidurePin([s1])
self.assertEqual(S.size(), 1)
S = FroidurePin([s1, s2, s3])
S.enumerate(100)
self.assertEqual(S.current_size(), 8195)
self.assertEqual(S.current_nr_rules(), 6)
def test_idempotents(self):
S = FroidurePin(Transformation([1, 0, 1]), Transformation([0, 0, 0]))
S.run()
self.assertEqual(
std.distance(S.cbegin_idempotents(), S.cend_idempotents()),
S.nr_idempotents(),
)
self.assertEqual(
list(S.idempotents()),
[
Transformation([0, 0, 0]),
Transformation([0, 1, 0]),
Transformation([1, 1, 1]),
],
)
def test_bug1_works_zno(self):
S = FpSemigroup()
S.set_alphabet("01")
S.add_rule("000", "0")
S.add_rule("1111", "1")
S.add_rule("01110", "00")
S.add_rule("1001", "11")
S.add_rule("001010101010", "00")
S.run()
S.rules()
S = FroidurePin(Transformation([1, 0, 1]), Transformation([0, 0, 0]))
self.assertEqual(S.size(), 4)
self.assertEqual(std.distance(S.cbegin(), S.cend()), S.size())
def test_copy_constructor(self):
S = FroidurePin(Transformation([1, 0, 1]), Transformation([0, 0, 0]))
T = S
self.assertTrue(T is S)
self.assertTrue(S is T)
T = FroidurePin(S)
self.assertFalse(S is T)
self.assertFalse(T is S)
self.assertEqual(T.size(), 4)
self.assertEqual(S.current_size(), 2)
def test_attributes(self):
tc = ToddCoxeter("left")
tc.set_nr_generators(1)
tc.add_pair([0, 0, 0, 0, 0, 0], [0, 0, 0])
self.assertEqual(tc.nr_classes(), 5)
self.assertTrue(tc.contains([0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0]))
self.assertFalse(tc.contains([0, 0, 0], [0, 0]))
self.assertEqual(tc.const_contains([0, 0, 0], [0, 0]), 0)
self.assertEqual(tc.kind(), "left")
self.assertFalse(tc.empty())
self.assertEqual(tc.class_index_to_word(1), [0, 0])
self.assertEqual(tc.word_to_class_index([0, 0]), 1)
self.assertFalse(tc.has_parent_froidure_pin())
self.assertEqual(tc.nr_generators(), 1)
self.assertEqual(tc.nr_generating_pairs(), 1)
self.assertTrue(tc.less([0], [0, 0]))
S = FroidurePin(Transformation([1, 2, 2]), Transformation([2, 0, 1]))
tc = ToddCoxeter("twosided", S)
self.assertEqual(tc.nr_classes(), 24)
self.assertTrue(tc.has_parent_froidure_pin())
try:
tc.parent_froidure_pin()
except:
self.fail("unexpected exception thrown")
try:
tc.quotient_froidure_pin()
except:
self.fail("unexpected exception thrown")
K = KnuthBendix()
K.set_alphabet("a")
K.add_rule("aaaa", "aa")
tc = ToddCoxeter("left", K)
self.assertEqual(tc.nr_classes(), 3)
tc = ToddCoxeter("twosided")
tc.set_nr_generators(1)
self.assertTrue(tc.is_quotient_obviously_infinite())
self.assertFalse(tc.is_quotient_obviously_finite())
tc.add_pair([0, 0, 0], [0])
self.assertFalse(tc.is_quotient_obviously_infinite())
tc.run()
self.assertTrue(tc.is_quotient_obviously_finite())
def test_aaa_bug(self):
ReportGuard(False)
S = FroidurePin(Transformation([1, 0, 1]), Transformation([0, 0, 0]))
S.run()
self.assertEqual(std.distance(S.cbegin(), S.cend()), 4)
self.assertEqual(
list(S),
[
Transformation([1, 0, 1]),
Transformation([0, 0, 0]),
Transformation([0, 1, 0]),
Transformation([1, 1, 1]),
],
)
def test_settings(self):
ReportGuard(False)
tc = ToddCoxeter("left")
tc.set_nr_generators(1)
tc.add_pair([0, 0, 0, 0], [0, 0])
try:
tc.reserve(10)
except:
self.fail("unexpected exception thrown")
tc.run()
self.assertFalse(tc.is_standardized())
try:
tc.standardize("lex")
except:
self.fail("unexpected exception thrown")
self.assertTrue(tc.is_standardized())
try:
tc.standardize("shortlex")
except:
self.fail("unexpected exception thrown")
try:
tc.standardize("recursive")
except:
self.fail("unexpected exception thrown")
try:
tc.standardize(True)
except:
self.fail("unexpected exception thrown")
try:
tc.standardize(False)
except:
self.fail("unexpected exception thrown")
with self.assertRaises(TypeError):
tc.standardize(1)
with self.assertRaises(ValueError):
tc.standardize("shooortlex")
S = FroidurePin(Transformation([3, 1, 2, 1, 2]),
Transformation([1, 1, 1, 2, 2]))
tc = ToddCoxeter("twosided", S)
try:
tc.froidure_pin_policy()
except:
self.fail("unexpected exception thrown")
try:
tc.froidure_pin_policy("none")
except:
self.fail("unexpected exception thrown")
self.assertEqual(tc.froidure_pin_policy(), "none")
try:
tc.froidure_pin_policy("use_relations")
except:
self.fail("unexpected exception thrown")
self.assertEqual(tc.froidure_pin_policy(), "use_relations")
try:
tc.froidure_pin_policy("use_cayley_graph")
except:
self.fail("unexpected exception thrown")
self.assertEqual(tc.froidure_pin_policy(), "use_cayley_graph")
with self.assertRaises(TypeError):
tc.froidure_pin_policy(1)
with self.assertRaises(ValueError):
tc.froidure_pin_policy("userelations")
tc = ToddCoxeter("left")
tc.set_nr_generators(2)
tc.add_pair([0, 0, 0, 0], [0])
tc.add_pair([1, 1, 1, 1], [0])
with self.assertRaises(ValueError):
tc.strategy("feelsch")
with self.assertRaises(TypeError):
tc.strategy(1)
try:
tc.strategy("felsch")
except:
self.fail("unexpected exception thrown")
self.assertEqual(tc.strategy(), "felsch")
try:
tc.strategy("hlt")
except:
self.fail("unexpected exception thrown")
self.assertEqual(tc.strategy(), "hlt")
try:
tc.strategy("random")
except:
self.fail("unexpected exception thrown")
self.assertEqual(tc.strategy(), "random")
def test_constructors(self):
try:
ToddCoxeter("left")
except:
self.fail("unexpected exception thrown")
try:
ToddCoxeter("right")
except:
self.fail("unexpected exception thrown")
try:
ToddCoxeter("twosided")
except:
self.fail("unexpected exception thrown")
with self.assertRaises(TypeError):
ToddCoxeter(45)
with self.assertRaises(ValueError):
ToddCoxeter("lft")
with self.assertRaises(TypeError):
ToddCoxeter("twosided", "left", "right")
S = FroidurePin(Transformation([0, 0, 1, 2, 3]))
with self.assertRaises(TypeError):
ToddCoxeter(S)
try:
ToddCoxeter("twosided", S)
except:
self.fail("unexpected exception thrown")
K = KnuthBendix()
with self.assertRaises(TypeError):
ToddCoxeter("left", K)
K.set_alphabet("a")
try:
ToddCoxeter("left", K)
except:
self.fail("unexpected exception thrown")
T = ToddCoxeter("left")
with self.assertRaises(TypeError):
ToddCoxeter("left", T)
T.set_nr_generators(1)
with self.assertRaises(TypeError):
ToddCoxeter("right", T)
with self.assertRaises(TypeError):
ToddCoxeter("twosided", T)
try:
ToddCoxeter("left", T)
except:
self.fail("unexpected exception thrown")
T = ToddCoxeter("right")
with self.assertRaises(TypeError):
ToddCoxeter("right", T)
T.set_nr_generators(1)
with self.assertRaises(TypeError):
ToddCoxeter("left", T)
with self.assertRaises(TypeError):
ToddCoxeter("twosided", T)
try:
ToddCoxeter("right", T)
except:
self.fail("unexpected exception thrown")
T = ToddCoxeter("twosided")
with self.assertRaises(TypeError):
ToddCoxeter("twosided", T)
T.set_nr_generators(1)
try:
ToddCoxeter("left", T)
except:
self.fail("unexpected exception thrown")
try:
ToddCoxeter("right", T)
except:
self.fail("unexpected exception thrown")
try:
ToddCoxeter("twosided", T)
except:
self.fail("unexpected exception thrown")
tc = ToddCoxeter("left")
tc.set_nr_generators(2)
with self.assertRaises(LibsemigroupsException):
tc.add_pair([0, 0, 1, 0], [1, 1, 2])
def test_add_generator(self):
ReportGuard(False)
S = FroidurePin(Transformation([1, 0, 1]), Transformation([0, 0, 0]))
self.assertEqual(S.size(), 4)
S.add_generator(Transformation([1, 2, 0]))
self.assertEqual(S.size(), 24)
def test_settings(self):
S = FroidurePin(Transformation([1, 0, 1]))
self.assertTrue(isinstance(S.batch_size(), int))
S.batch_size(10)
self.assertEqual(S.batch_size(), 10)
self.assertTrue(isinstance(S.concurrency_threshold(), int))
S.concurrency_threshold(10)
self.assertEqual(S.concurrency_threshold(), 10)
self.assertFalse(S.immutable())
self.assertTrue(isinstance(S.max_threads(), int))
S.max_threads(1)
self.assertEqual(S.max_threads(), 1)
def test_cayley_graphs(self):
ReportGuard(False)
S = FroidurePin(Transformation(list(range(1, 10)) + [0]))
S.run()
for i in range(S.size()):
self.assertEqual(S.left(i, 0), S.right(i, 0))
for i in range(S.size()):
self.assertEqual(S.left_cayley_graph().get(i, 0), S.left(i, 0))
self.assertEqual(S.right_cayley_graph().get(i, 0), S.right(i, 0))
def test_run_for(self):
ReportGuard(False)
S = FroidurePin(Transformation([1, 0] + list(range(2, 10))))
S.add_generator(Transformation(list(range(1, 10)) + [0]))
S.run_for(milliseconds(10))
def test_run_until(self):
if compare_version_numbers(libsemigroups_version(), "1.0.8"):
ReportGuard(False)
S = FroidurePin(Transformation([1, 0] + list(range(2, 10))))
S.add_generator(Transformation(list(range(1, 10)) + [0]))
S.run_until(lambda: S.current_size() > 10)
self.assertFalse(S.finished())
self.assertTrue(S.current_size() > 10)
S.run_until(lambda: S.current_nr_rules() > 100)
self.assertFalse(S.finished())
self.assertTrue(S.current_nr_rules() > 100)
def test_state(self):
ReportGuard(False)
S = FroidurePin(Transformation([1, 0] + list(range(2, 10))))
S.add_generator(Transformation(list(range(1, 10)) + [0]))
self.assertFalse(S.started())
S.run_for(milliseconds(10))
self.assertTrue(S.started())
self.assertTrue(S.timed_out())
self.assertTrue(S.stopped())
self.assertFalse(S.finished())
def test_attributes(self):
ReportGuard(False)
S = FroidurePin(Transformation(list(range(1, 10)) + [0]))
self.assertEqual(S.current_nr_rules(), 0)
self.assertEqual(S.current_size(), 1)
self.assertEqual(S.degree(), 10)
self.assertEqual(S.size(), 10)
self.assertTrue(S.is_idempotent(9))
for i in range(8):
self.assertFalse(S.is_idempotent(i))
with self.assertRaises(LibsemigroupsException):
S.is_idempotent(10)
self.assertTrue(S.is_monoid())
self.assertEqual(S.nr_generators(), 1)
self.assertEqual(S.nr_idempotents(), 1)
def test_factorisation(self):
S = FroidurePin(Transformation([1, 0, 1]), Transformation([0, 0, 0]))
self.assertEqual(S.size(), 4)
self.assertEqual([S.factorisation(x) for x in range(S.size())],
[[0], [1], [0, 0], [1, 0]])
with self.assertRaises(LibsemigroupsCppyyException):
S.factorisation(4)
# check again because of some bug in an early version of
# unwrap(_return_value)
self.assertEqual([S.factorisation(x) for x in range(S.size())],
[[0], [1], [0, 0], [1, 0]])
with self.assertRaises(LibsemigroupsCppyyException):
S.factorisation(Transformation([1, 1, 2]))
self.assertEqual([S.factorisation(x) for x in S],
[[0], [1], [0, 0], [1, 0]])
def test_membership(self):
S = FroidurePin(Transformation(list(range(1, 5)) + [0]))
S.add_generator(Transformation([1, 0] + list(range(2, 5))))
if compare_version_numbers(libsemigroups_version(), "1.0.8"):
self.assertEqual(
S.current_position(Transformation([2, 0, 3, 4, 1])),
18446744073709551615,
)
self.assertEqual(S.at(10), Transformation([2, 0, 3, 4, 1]))
with self.assertRaises(Exception):
S.at(120)
with self.assertRaises(Exception):
S[120]
self.assertTrue(S.contains(Transformation([2, 0, 3, 4, 1])))
self.assertEqual(S.position(Transformation([2, 0, 3, 4, 1])), 10)
self.assertEqual(S.sorted_position(Transformation([2, 0, 3, 4, 1])),
51)
self.assertEqual(S.sorted_at(51), Transformation([2, 0, 3, 4, 1]))
if compare_version_numbers(libsemigroups_version(), "1.0.8"):
self.assertEqual(
S.current_position(Transformation([2, 0, 3, 4, 1])), 15)
def test_factorisation_and_relations(self):
ReportGuard(False)
S = FroidurePin(Transformation(list(range(1, 10)) + [0]))
self.assertEqual(S.length_const(0), 1)
with self.assertRaises(LibsemigroupsException):
S.length_const(1)
self.assertEqual(S.current_max_word_length(), 1)
S.run()
self.assertEqual(S.current_max_word_length(), 10)
self.assertTrue(S.equal_to([0, 0], [0, 0]))
self.assertFalse(S.equal_to([0], [0, 0]))
self.assertFalse(S.equal_to([0] * 10, [0]))
with self.assertRaises(LibsemigroupsException):
self.assertFalse(S.equal_to([0] * 10, [1]))
with self.assertRaises(LibsemigroupsException):
self.assertFalse(S.equal_to([1], [0] * 10))
for i in range(S.size()):
self.assertEqual(S.length_const(i), i + 1)
self.assertEqual(S.length_non_const(i), i + 1)
with self.assertRaises(LibsemigroupsException):
S.length_non_const(10)
self.assertEqual(S.letter_to_pos(0), 0)
with self.assertRaises(LibsemigroupsException):
S.letter_to_pos(1)
S.add_generator(Transformation([1, 0] + list(range(2, 10))))
self.assertEqual(S.letter_to_pos(1), 10)
S.add_generator(Transformation(list(range(1, 10)) + [0]))
self.assertEqual(S.letter_to_pos(2), 0)
self.assertEqual(
[S.minimal_factorisation(x) for x in range(10)],
[
[0],
[0, 0],
[0, 0, 0],
[0, 0, 0, 0],
[0, 0, 0, 0, 0],
[0, 0, 0, 0, 0, 0],
[0, 0, 0, 0, 0, 0, 0],
[0, 0, 0, 0, 0, 0, 0, 0],
[0, 0, 0, 0, 0, 0, 0, 0, 0],
[1, 1],
],
)
with self.assertRaises(LibsemigroupsCppyyException):
S.next_relation()
S = FroidurePin(Transformation(list(range(1, 5)) + [0]))
S.add_generator(Transformation([1, 0] + list(range(2, 5))))
self.assertEqual(S.current_nr_rules(), 0)
self.assertEqual(S.word_to_pos([0, 1, 0, 1]), 18446744073709551615)
self.assertEqual(S.nr_rules(), 25)
self.assertEqual(S.word_to_element([0, 1, 0, 1]),
Transformation([0, 3, 4, 1, 2]))
self.assertEqual(S.word_to_pos([0, 1, 0, 1]), 15)
