def test_row_isrounds(self):
self.assertTrue(Row(0).is_rounds())
self.assertTrue(Row(1).is_rounds())
self.assertTrue(Row(2).is_rounds())
self.assertTrue(Row('12345678').is_rounds())
self.assertFalse(Row('21').is_rounds())
def test_row_conjugator(self):
x = Row('2143')
y = Row('3412')
r = Row.conjugator(x, y)
self.assertEqual(y, ~r * x * r)
self.assertFalse(Row.conjugator(x, 4))
def test_row_are_conjugate(self):
conj_class = list(map(Row, ['2143', '3412', '4321']))
for r1, r2 in itertools.product(conj_class, conj_class):
self.assertTrue(Row.are_conjugate(r1, r2))
for r in conj_class:
self.assertFalse(Row.are_conjugate(r, 4))
def test_row_conjugator(self):
x = Row('2143')
y = Row('3412')
r = Row.conjugator(x, y)
self.assertEqual(y, ~r * x * r)
self.assertFalse(Row.conjugator(x, 4))
def test_row_are_conjugate(self):
conj_class = list(map(Row, ['2143', '3412', '4321']))
for r1, r2 in itertools.product(conj_class, conj_class):
self.assertTrue(Row.are_conjugate(r1, r2))
for r in conj_class:
self.assertFalse(Row.are_conjugate(r, 4))
def test_row_equals_string_types(self):
self.assertEqual(Row('123456'), '123456')
self.assertEqual(Row(b'123456'), b'123456')
self.assertEqual(Row(u'123456'), u'123456')
self.assertEqual(bytes(Row('123456')), b'123456')
try:
self.assertEqual(unicode(Row('123456')), u'123456')
except NameError:
pass
def test_row_block_subscript_bounds(self):
rb = RowBlock(*[Change(5, pn) for pn in ['3', '1', '5']])
self.assertRaises(IndexError, lambda: rb[-1])
self.assertEqual(rb[0], '12345')
self.assertEqual(rb[3], '32415')
self.assertRaises(IndexError, lambda: rb[4])
self.assertRaises(IndexError, lambda: rb.__setitem__(-1, Row(5)))
rb[0] = Row(5) # Should succeed
rb[3] = Row(5)
self.assertRaises(IndexError, lambda: rb.__setitem__(4, Row(5)))
def test_row_divide_row(self):
self.assertEqual(Row('642153') / Row('235164'), Row('164325'))
self.assertEqual(Row('53678421') / Row('425613'), Row('83456721'))
self.assertEqual(Row('51324') / Row('645231'), Row('624135'))
r = Row()
r = r / '623415'
self.assertEqual(r, '523461')
r = r / '623415'
self.assertEqual(r, '623415')
r = r / '87654321'
self.assertEqual(r, '87514326')
self.assertEqual(r.bells, 8)
def test_row_sign(self):
self.assertEqual(Row().sign(), +1)
self.assertEqual(Row(1).sign(), +1)
self.assertEqual(Row(2).sign(), +1)
self.assertEqual(Row(17).sign(), +1)
self.assertEqual(Row('234561').sign(), -1)
self.assertEqual(Row('234516').sign(), +1)
self.assertEqual(Row('352461').sign(), +1)
self.assertEqual(Row('312647958').sign(), -1)
self.assertEqual(Row('167832495').sign(), +1)
def leads(self):
"""
A list containing the leads of the composition.
"""
if self._leads is None:
lead_specifications = []
for line in self.configs.composition:
if line in self.configs.methods:
lead_specifications.append({
'method_name':
line,
'method_object':
self.configs.methods[line],
'call_symbol':
'',
'call_object':
None,
})
elif line in self.configs.calls:
lead_specifications[-1]['call_symbol'] = line
lead_specifications[-1]['call_object'] = \
self.configs.calls[line]
self._leads = []
lead_head = Row(self.configs.bells)
for lead_specification in lead_specifications:
lead_specification['starting_lead_head'] = lead_head
self._leads.append(Lead(**lead_specification))
lead_head = self._leads[-1].lead_head
return self._leads
def test_row_multiply_change(self):
r = Row()
r = r * Change(6, 'X')
self.assertEqual(r, '214365')
r = r * Change(6, '1')
self.assertEqual(r, '241635')
r = r * Change(8, 'X')
self.assertEqual(r, '42615387')
r = r * Change(5, '3')
self.assertEqual(r, '24651387')
def test_group_named_groups(self):
self.assertEqual(list(Group.symmetric_group(0)), [Row()])
self.assertEqual(list(Group.symmetric_group(3)),
['123', '132', '213', '231', '312', '321'])
self.assertEqual(list(Group.symmetric_group(3, 1)),
['1234', '1243', '1324', '1342', '1423', '1432'])
self.assertEqual(list(Group.symmetric_group(
3, 1, 5)), ['12345', '12435', '13245', '13425', '14235', '14325'])
self.assertEqual(list(Group.alternating_group(0)), [Row()])
self.assertEqual(list(Group.alternating_group(3)),
['123', '231', '312'])
self.assertEqual(list(Group.alternating_group(3, 1)),
['1234', '1342', '1423'])
self.assertEqual(list(Group.alternating_group(3, 1, 5)),
['12345', '13425', '14235'])
self.assertRaises(ValueError, lambda: Group.symmetric_group(2, 2, 3))
self.assertRaises(ValueError, lambda: Group.alternating_group(2, 2, 3))
def test_row_cycles(self):
self.assertEqual(Row().cycles(), '')
self.assertEqual(Row(1).cycles(), '1')
self.assertEqual(Row(5).cycles(), '1,2,3,4,5')
self.assertEqual(Row('124536').cycles(), '1,2,345,6')
self.assertEqual(Row('214563').cycles(), '12,3456')
self.assertEqual(Row('2145673').cycles(), '12,34567')
def test_row_order(self):
self.assertEqual(Row().order(), 1)
self.assertEqual(Row(1).order(), 1)
self.assertEqual(Row('21').order(), 2)
self.assertEqual(Row('234561').order(), 6)
self.assertEqual(Row('21436578').order(), 2)
self.assertEqual(Row('2315674').order(), 12)
def is_cyclic(self):
"""
Whether the composition has a cyclic part end.
(Returns False if it's a single-part composition).
"""
if self._is_cyclic is None:
# Rows don't have an is_cyclic method (why not?)
# Generate all cyclic part ends and see if ours is one of them.
if self.is_treble_fixed:
cyclic_part_ends = [
Row.cyclic(self.configs.bells, 1, n)
for n in range(self.configs.bells - 1)
]
else:
cyclic_part_ends = [
Row.cyclic(self.configs.bells, 0, n)
for n in range(self.configs.bells)
]
self._is_cyclic = self.part_end in cyclic_part_ends
return self.parts != 1 and self._is_cyclic
def create_worksheet(self, workbook, name, landscape=False):
"""
Creates a worksheet and fills it with rows.
"""
worksheet = workbook.add_worksheet(name)
if landscape:
worksheet.set_landscape()
worksheet.set_paper(9) # A4
worksheet.set_margins(0.4, 0.4, 0.4, 0.4) # 1cm all round
worksheet.set_header('', {'margin': 0})
worksheet.set_footer('', {'margin': 0})
worksheet.fit_to_pages(1, 1)
# Start with the smallest possible rows (i.e. length of longest method)
# and increase it until we pass the required aspect ratio
rows = max(
[lead.method_object.length for lead in self.composition.leads])
desired_aspect_ratio = 1 / sqrt(2) if landscape else sqrt(2)
while self.calculate_aspect_ratio(rows) < desired_aspect_ratio:
rows += 2
# Stamp leads all over the worksheet
self.row_index = 0
self.col_index = 0
self.lead_head = Row(self.composition.configs.bells)
col_index_delta = self.composition.configs.bells + 3
for lead in self.composition.leads:
if self.row_index + lead.method_object.length >= rows:
self.row_index = 0
self.col_index += col_index_delta
self.print_lead(lead, worksheet)
# Set print area and column widths
worksheet.print_area(
0, 0, rows,
self.calculate_columns(rows) * col_index_delta - 2)
for i in range(self.calculate_columns(rows)):
worksheet.set_column(i * col_index_delta,
(i + 1) * col_index_delta - 3,
BELL_COLUMN_WIDTH)
worksheet.set_column((i + 1) * col_index_delta - 1,
(i + 1) * col_index_delta - 1,
GUTTER_COLUMN_WIDTH)
def test_group_iterator(self):
self.assertEqual(list(Group()), [Row()])
self.assertEqual(list(Group(6)), ['123456'])
self.assertEqual(list(Group('134256')), ['123456', '134256', '142356'])
self.assertEqual(list(Group('213564', '123546')), [
'123456',
'123465',
'123546',
'123564',
'123645',
'123654',
'213456',
'213465',
'213546',
'213564',
'213645',
'213654',
])
self.assertEqual(list(Group('654321')), ['123456', '654321'])
def test_group_coset_labels(self):
G = Group('2143', '1324', '1243') # S_4
H = Group('2143', '1324') # Rows in plain hunt
# A row in G but not H; this must be in a coset of H.
# This is the lexicographically lowest row (except rounds), so should be
# the label of its coset.
g = Row('1243')
for h_dash in G:
# gH is the left coset of H in G with respect to g
lcoset_row = g * h_dash
# Hg is the right coset of H in G with respect to g
rcoset_row = h_dash * g
if h_dash in H:
self.assertEqual(H.lcoset_label(lcoset_row), g)
self.assertEqual(H.rcoset_label(rcoset_row), g)
else:
self.assertNotEqual(H.lcoset_label(lcoset_row), g)
self.assertNotEqual(H.rcoset_label(rcoset_row), g)
def test_row_find(self):
r = Row('615423')
self.assertEqual(r.find(0), 1)
self.assertEqual(r.find(1), 4)
self.assertEqual(r.find(2), 5)
self.assertEqual(r.find(3), 3)
self.assertEqual(r.find(4), 2)
self.assertEqual(r.find(5), 0)
self.assertEqual(r.find(6), 6)
self.assertRaises(ValueError, lambda: r.find(-1))
r.find(0)
r.find(MAX_BELL_NUMBER)
self.assertRaises(ValueError, lambda: r.find(MAX_BELL_NUMBER + 1))
def test_row_multiply_row(self):
self.assertEqual(Row('4312') * Row('2341'), Row('3124'))
self.assertEqual(Row('7631425') * Row('2347165'), Row('6315724'))
self.assertEqual(Row('12387654') * Row('631245'), Row('63128754'))
self.assertEqual(Row('24531') * Row('57863124'), Row('17865243'))
r = Row()
r = r * '34512'
self.assertEqual(r, '34512')
r = r * '14253'
self.assertEqual(r, '31425')
def test_row_subscript_bounds(self):
r = Row(6)
self.assertRaises(IndexError, lambda: r[-1])
self.assertEqual(r[0], 0)
self.assertEqual(r[5], 5)
self.assertRaises(IndexError, lambda: r[6])
def test_row_inverse_tilde(self):
self.assertEqual(~Row('654321'), '654321')
self.assertEqual(~Row('312'), '231')
self.assertEqual(~Row('18234567'), '13456782')
def test_row_constructor_exceptions(self):
self.assertRaises(ValueError, lambda: Row(-1))
Row(0)
Row(MAX_BELL_NUMBER)
self.assertRaises(ValueError, lambda: Row(MAX_BELL_NUMBER + 1))
self.assertRaises(TypeError, lambda: Row(self))
def bell_number_to_char(num):
"""
Converts a bell number into the character that represents it.
"""
return str(Row(num + 1))[num] # Hack this out of a Row string
def test_group_conjugate(self):
G = Group('2143', '1324')
r = Row('1243')
self.assertEqual(sorted([~r * g * r for g in G]),
sorted(G.conjugate(r)))
def test_row_bells(self):
self.assertEqual(Row().bells, 0)
self.assertEqual(Row(7).bells, 7)
self.assertEqual(Row('12345').bells, 5)
def test_row_named_rows(self):
self.assertEqual(Row.rounds(0), '')
self.assertEqual(Row.rounds(1), '1')
self.assertEqual(Row.rounds(2), '12')
self.assertEqual(Row.rounds(5), '12345')
self.assertEqual(Row.rounds(8), '12345678')
self.assertEqual(Row.queens(0), '')
self.assertEqual(Row.queens(1), '1')
self.assertEqual(Row.queens(2), '12')
self.assertEqual(Row.queens(5), '13524')
self.assertEqual(Row.queens(8), '13572468')
self.assertEqual(Row.kings(0), '')
self.assertEqual(Row.kings(1), '1')
self.assertEqual(Row.kings(2), '12')
self.assertEqual(Row.kings(5), '53124')
self.assertEqual(Row.kings(8), '75312468')
self.assertEqual(Row.tittums(0), '')
self.assertEqual(Row.tittums(1), '1')
self.assertEqual(Row.tittums(2), '12')
self.assertEqual(Row.tittums(5), '14253')
self.assertEqual(Row.tittums(8), '15263748')
self.assertEqual(Row.reverse_rounds(0), '')
self.assertEqual(Row.reverse_rounds(1), '1')
self.assertEqual(Row.reverse_rounds(2), '21')
self.assertEqual(Row.reverse_rounds(5), '54321')
self.assertEqual(Row.reverse_rounds(8), '87654321')
def test_operators_return_not_implemented(self):
# Arithmetic operator returns NotImplemented when given unknown types
self.assertEqual(Row().__lt__(self), NotImplemented)
self.assertEqual(Row().__le__(self), NotImplemented)
self.assertEqual(Row().__eq__(self), NotImplemented)
self.assertEqual(Row().__ne__(self), NotImplemented)
self.assertEqual(Row().__gt__(self), NotImplemented)
self.assertEqual(Row().__ge__(self), NotImplemented)
self.assertEqual(Row().__mul__(self), NotImplemented)
self.assertEqual(Row().__rmul__(self), NotImplemented)
self.assertEqual(Row().__truediv__(self), NotImplemented)
self.assertEqual(Row().__rtruediv__(self), NotImplemented)
# ... but passes through errors parsing known types.
self.assertRaises(ValueError, lambda: Row().__lt__('!'))
self.assertRaises(ValueError, lambda: Row().__le__('!'))
self.assertRaises(ValueError, lambda: Row().__eq__('!'))
self.assertRaises(ValueError, lambda: Row().__ne__('!'))
self.assertRaises(ValueError, lambda: Row().__gt__('!'))
self.assertRaises(ValueError, lambda: Row().__ge__('!'))
self.assertRaises(ValueError, lambda: Row().__mul__('!'))
self.assertRaises(ValueError, lambda: Row().__rmul__('!'))
self.assertRaises(ValueError, lambda: Row().__truediv__('!'))
self.assertRaises(ValueError, lambda: Row().__rtruediv__('!'))
try:
self.assertEqual(Row().__div__(self), NotImplemented)
self.assertRaises(ValueError, lambda: Row().__div__('!'))
except AttributeError:
pass # Ignore (Python 3 doesn't create __div__)
def test_row_find(self):
r = Row('615423')
self.assertEqual(r.find(0), 1)
self.assertEqual(r.find(1), 4)
self.assertEqual(r.find(2), 5)
self.assertEqual(r.find(3), 3)
self.assertEqual(r.find(4), 2)
self.assertEqual(r.find(5), 0)
self.assertEqual(r.find(6), 6)
self.assertRaises(ValueError, lambda: r.find(-1))
r.find(0)
r.find(MAX_BELL_NUMBER)
self.assertRaises(ValueError, lambda: r.find(MAX_BELL_NUMBER + 1))
self.assertRaises(TypeError, lambda: r.find(self))
self.assertEqual(r.find(Bell(0)), 1)
self.assertEqual(r.find(Bell('1')), 1)
def test_row_repr(self):
self.assertEqual(repr(Row()), 'Row()')
self.assertEqual(repr(Row('123456')), "Row('123456')")
def test_row_print(self):
self.assertEqual(str(Row()), '')
self.assertEqual(str(Row('123456')), '123456')
def test_row_equals(self):
self.assertTrue(Row() == Row(''))
self.assertTrue(Row() != Row('1'))
self.assertTrue(Row(6) == Row('123456'))
self.assertTrue(Row('123456') == Row('123456'))
self.assertFalse(Row('123456') != Row('123456'))
self.assertTrue(Row('123456') != Row('123465'))
self.assertFalse(Row('123456') == Row('123465'))
self.assertTrue(Row('123456') != Row('1234'))
self.assertFalse(Row('123456') == Row('1234'))
self.assertTrue(Row('123456') != Row('12345678'))
self.assertFalse(Row('123456') == Row('12345678'))
def execute(self):
if self.composition.configs.has_config('calls'):
longest_call = max(map(
lambda s: len(s),
self.composition.configs.calls.keys()
))
format_string = ' {0.method_name}\n{0.call_symbol:' + \
str(longest_call) + '} {0.lead_head}'
else:
format_string = ' {0.method_name}\n{0.lead_head}'
file = os.path.join(self.get_output_directory(), 'composition.txt')
with open(file, 'w') as file:
def output(*args):
"""Prints a line to the output file without any newline."""
print(*args, end='', file=file)
# Title
output('{length} {stage}\n'.format(
length=self.composition.length,
stage=Method.stage_name(self.composition.configs.bells),
))
# Number of methods
methods = {}
for name, length in self.composition.method_balance.items():
# Assemble dict mapping lengths to lists of methods
# e.g. {176: ['Slinky'], 880: ['Maypole']}
if length not in methods:
methods[length] = []
methods[length].append(name)
for length in methods.keys():
# Replace each list of methods with string for output
# e.g. {176: '176 Slinky', 880: '880 Maypole'}
methods[length] = ', '.join(sorted(methods[length]))
methods[length] = '{0} {1}'.format(length, methods[length])
methods = [
# Sort entries in reverse order of length
# e.g. {880: '880 Maypole', 176: '176 Slinky'}
methods[length] for length
in reversed(sorted(methods.keys()))
]
output('({number}m: {methods})\n'.format(
number=len(self.composition.method_balance),
methods='; '.join(methods),
))
output('\n')
# Rows of the composition
if self.composition.configs.has_config('calls'):
output(' ' * (longest_call + 1))
output(Row(self.composition.configs.bells))
for lead in self.composition.leads:
output(format_string.format(lead))
output('\n')
output('\n')
# Composition statistics
output('{0.parts} part. {0.com} com.\n'.format(self.composition))