def test_sporadic_names(self):
expected = {
"M11", "M12", "M22", "M23", "M24", "J1", "J2", "J3", "J4", "Co1",
"Co2", "Co3", "Fi22", "Fi23", "Fi24'", "HS", "McL", "He", "Ru",
"Suz", "O'N", "HN", "Ly", "Th", "B", "M", "2F4(2)'"
}
self.assertSetEqual(expected, set(SporadicGroup.all_groups()))
def selected_group(self):
"""Returns currently selected group
"""
if self._group_type.get() == "Alternating":
self._alt_degree.refresh_input()
return AlternatingGroup(self._alt_degree.get_number())
if self._group_type.get() == "Classical":
self._clas_dim.refresh_input()
self._clas_field.refresh_input()
return ClassicalGroup(self._clas_type.variable.get(),
self._clas_dim.get_number(), self._clas_field.get_number())
if self._group_type.get() == "Sporadic":
return SporadicGroup(self._sporadic_group.variable.get())
if self._group_type.get() == "Exceptional":
self._ex_field.refresh_input()
return ExceptionalGroup(self._ex_type.variable.get(), self._ex_field.get_number())
def test_sporadic_order(self):
expected = 495766656000
g = SporadicGroup("Co3")
self.assertEqual(expected, g.order())
def test_sporadic_names(self):
expected = {"M11", "M12", "M22", "M23", "M24", "J1", "J2", "J3", "J4",
"Co1", "Co2", "Co3", "Fi22", "Fi23",
"Fi24'", "HS", "McL", "He", "Ru", "Suz", "O'N", "HN", "Ly",
"Th", "B", "M", "2F4(2)'"}
self.assertSetEqual(expected, set(SporadicGroup.all_groups()))
def _init_components(self):
# group type selection (alternating, classical, sporadic, exceptional)
group_type_frame = LabelFrame(self, text="Group type", padx=10, pady=5)
group_type_frame.pack(expand=True, fill='x')
# group type radio buttons (Alternating, Classical etc.)
self._group_type = StringVar()
self._type_radio_buttons = dict()
for group_type in ("Alternating", "Classical", "Exceptional", "Sporadic"):
radiobutton = Radiobutton(group_type_frame, variable=self._group_type, value=group_type, text=group_type)
radiobutton.pack(anchor='nw')
self._type_radio_buttons[group_type] = radiobutton
# set group type selection handler
self._group_type.trace("w", lambda n, i, m: self._group_type_selection())
# spacer
Frame(self, height=10).pack()
# parameters for each group (degree for alternating, field and dimension for classical etc.)
# notice that we do not pack LabelFrame contents. We do that in _group_type_selection method instead.
group_params_frame = LabelFrame(self, text="Parameters", padx=10, pady=5)
group_params_frame.pack(expand=True, fill='x')
# alternating
self._alt_params = Frame(group_params_frame)
self._alt_params.columnconfigure(1, weight=1)
Label(self._alt_params, text="Degree").grid(sticky='w')
self._alt_degree = NumberBox(self._alt_params, constraints=Constraints(min=5))
self._alt_degree.grid(row=0, column=1, sticky='we')
# classical
self._clas_params = Frame(group_params_frame)
self._clas_params.columnconfigure(1, weight=1)
Label(self._clas_params, text="Type").grid(row=0, sticky='w')
self._clas_type = OptionList(self._clas_params, values=ClassicalGroup.types())
self._clas_type.variable.trace("w", lambda n, i, m: self._classical_group_type_selection())
self._clas_type.grid(row=0, column=1, sticky='we')
Label(self._clas_params, text="Dimension").grid(row=1, sticky='w')
self._clas_dim = NumberBox(self._clas_params)
self._clas_dim.grid(row=1, column=1, sticky='we')
Label(self._clas_params, text="Field order").grid(row=2, sticky='w')
self._clas_field = NumberBox(self._clas_params, constraints=Constraints(primality=numeric.PRIME_POWER))
self._clas_field.grid(row=2, column=1, sticky='we')
self._classical_group_type_selection()
# exceptional
self._ex_params = Frame(group_params_frame)
self._ex_params.columnconfigure(1, weight=1)
Label(self._ex_params, text="Type").grid(row=0, sticky='w')
self._ex_type = OptionList(self._ex_params, values=ExceptionalGroup.types())
self._ex_type.setvar(value=ExceptionalGroup.types()[0])
self._ex_type.variable.trace("w", lambda n, i, m: self._exceptional_group_type_selection())
self._ex_type.grid(row=0, column=1, sticky='we')
Label(self._ex_params, text="Field order").grid(row=1, sticky='w')
self._ex_field = NumberBox(self._ex_params, constraints=Constraints(primality=numeric.PRIME_POWER))
self._ex_field.grid(row=1, column=1, sticky='we')
self._exceptional_group_type_selection()
# sporadic
self._spor_params = Frame(group_params_frame)
self._spor_params.columnconfigure(1, weight=1)
Label(self._spor_params, text="Group").grid(row=0, sticky='w')
self._sporadic_group = OptionList(self._spor_params, values=SporadicGroup.all_groups())
self._sporadic_group.grid(row=0, column=1, sticky='we')
def test_sporadic_order(self):
expected = 495766656000
g = SporadicGroup("Co3")
self.assertEqual(expected, g.order())
def test_sporadic_str(self):
name = "2F4(2)'"
self.assertEqual(name, str(SporadicGroup(name)))
def test_sporadic(self):
expected = [32, 36, 38, 40, 41, 45, 48, 50, 51, 54, 56,
57, 59, 60, 62, 66, 68, 69, 70, 71, 78, 84,
87, 88, 92, 93, 94, 95, 104, 105, 110, 119]
g = SporadicGroup("M")
self.assertSequenceEqual(expected, g.apex())
def _init_components(self):
# group type selection (alternating, classical, sporadic, exceptional)
group_type_frame = LabelFrame(self, text="Group type")
group_type_frame.pack(expand=True, fill="x", padx=10, pady=5)
# group type radio buttons (Alternating, Classical etc.)
self._group_type = StringVar()
self._type_radio_buttons = dict()
for type in ("Alternating", "Classical", "Exceptional", "Sporadic"):
self._type_radio_buttons[type] = Radiobutton(
group_type_frame, variable=self._group_type, value=type, text=type
)
self._type_radio_buttons[type].pack(anchor="nw", padx=10)
# set group type selection handler
self._group_type.trace("w", lambda n, i, m: self._group_type_selection())
# parameters for each group (degree for alternating, field and
# dimension for classical etc.
group_params_frame = LabelFrame(self, text="Parameters")
group_params_frame.pack(expand=True, fill="x", padx=10, pady=5)
# alternating
self._alt_params = Frame(group_params_frame)
self._alt_params.columnconfigure(1, weight=1)
Label(self._alt_params, text="Degree").grid(sticky="w")
self._alt_degree = NumberBox(self._alt_params, constraints=Constraints(min=5))
self._alt_degree.grid(row=0, column=1, sticky="we")
# classical
self._clas_params = Frame(group_params_frame)
self._clas_params.columnconfigure(1, weight=1)
Label(self._clas_params, text="Type").grid(row=0, sticky="w")
self._clas_type = OptionList(self._clas_params, values=ClassicalGroup.types())
self._clas_type.variable.trace("w", lambda n, i, m: self._classical_group_type_selection())
self._clas_type.grid(row=0, column=1, sticky="we")
Label(self._clas_params, text="Dimension").grid(row=1, sticky="w")
self._clas_dim = NumberBox(self._clas_params)
self._clas_dim.grid(row=1, column=1, sticky="we")
Label(self._clas_params, text="Field order").grid(row=2, sticky="w")
self._clas_field = NumberBox(self._clas_params, constraints=Constraints(primality=numeric.PRIME_POWER))
self._clas_field.grid(row=2, column=1, sticky="we")
self._classical_group_type_selection()
# exceptional
self._ex_params = Frame(group_params_frame)
self._ex_params.columnconfigure(1, weight=1)
Label(self._ex_params, text="Type").grid(row=0, sticky="w")
self._ex_type = OptionList(self._ex_params, values=ExceptionalGroup.types())
self._ex_type.setvar(value=ExceptionalGroup.types()[0])
self._ex_type.grid(row=0, column=1, sticky="we")
Label(self._ex_params, text="Field order").grid(row=1, sticky="w")
self._ex_field = NumberBox(self._ex_params, constraints=Constraints(primality=numeric.PRIME_POWER))
self._ex_field.grid(row=1, column=1, sticky="we")
# sporadic
self._spor_params = Frame(group_params_frame)
self._spor_params.columnconfigure(1, weight=1)
Label(self._spor_params, text="Group").grid(row=0, sticky="w")
self._sporadic_group = OptionList(self._spor_params, values=SporadicGroup.all_groups())
self._sporadic_group.grid(row=0, column=1, sticky="we")
# pack params frames
for child_frame in group_params_frame.winfo_children():
child_frame.pack(expand=True, fill="x", padx=10)
def _init_components(self):
# group type selection (alternating, classical, sporadic, exceptional)
group_type_frame = LabelFrame(self, text="Group type", padx=10, pady=5)
group_type_frame.pack(expand=True, fill='x')
# group type radio buttons (Alternating, Classical etc.)
self._group_type = StringVar()
self._type_radio_buttons = dict()
for group_type in ("Alternating", "Classical", "Exceptional", "Sporadic"):
radiobutton = Radiobutton(group_type_frame, variable=self._group_type, value=group_type, text=group_type)
radiobutton.pack(anchor='nw')
self._type_radio_buttons[group_type] = radiobutton
# set group type selection handler
self._group_type.trace("w", lambda n, i, m: self._group_type_selection())
# spacer
Frame(self, height=10).pack()
# parameters for each group (degree for alternating, field and dimension for classical etc.)
# notice that we do not pack LabelFrame contents. We do that in _group_type_selection method instead.
group_params_frame = LabelFrame(self, text="Parameters", padx=10, pady=5)
group_params_frame.pack(expand=True, fill='x')
# alternating
self._alt_params = Frame(group_params_frame)
self._alt_params.columnconfigure(1, weight=1)
Label(self._alt_params, text="Degree").grid(sticky='w')
self._alt_degree = NumberBox(self._alt_params, constraints=Constraints(min=5))
self._alt_degree.grid(row=0, column=1, sticky='we')
# classical
self._clas_params = Frame(group_params_frame)
self._clas_params.columnconfigure(1, weight=1)
Label(self._clas_params, text="Type").grid(row=0, sticky='w')
self._clas_type = OptionList(self._clas_params, values=ClassicalGroup.types())
self._clas_type.variable.trace("w", lambda n, i, m: self._classical_group_type_selection())
self._clas_type.grid(row=0, column=1, sticky='we')
Label(self._clas_params, text="Dimension").grid(row=1, sticky='w')
self._clas_dim = NumberBox(self._clas_params)
self._clas_dim.grid(row=1, column=1, sticky='we')
Label(self._clas_params, text="Field order").grid(row=2, sticky='w')
self._clas_field = NumberBox(self._clas_params, constraints=Constraints(primality=numeric.PRIME_POWER))
self._clas_field.grid(row=2, column=1, sticky='we')
self._classical_group_type_selection()
# exceptional
self._ex_params = Frame(group_params_frame)
self._ex_params.columnconfigure(1, weight=1)
Label(self._ex_params, text="Type").grid(row=0, sticky='w')
self._ex_type = OptionList(self._ex_params, values=ExceptionalGroup.types())
self._ex_type.setvar(value=ExceptionalGroup.types()[0])
self._ex_type.grid(row=0, column=1, sticky='we')
Label(self._ex_params, text="Field order").grid(row=1, sticky='w')
self._ex_field = NumberBox(self._ex_params, constraints=Constraints(primality=numeric.PRIME_POWER))
self._ex_field.grid(row=1, column=1, sticky='we')
# sporadic
self._spor_params = Frame(group_params_frame)
self._spor_params.columnconfigure(1, weight=1)
Label(self._spor_params, text="Group").grid(row=0, sticky='w')
self._sporadic_group = OptionList(self._spor_params, values=SporadicGroup.all_groups())
self._sporadic_group.grid(row=0, column=1, sticky='we')
