def set_function_from_text(self, text: str) -> None:
"""
Set the function from text.
Parameters:
text: function expressed as a string.
"""
if text.strip() != "":
function_name = text
try:
ani = self.canvas.get_animation()
ani.set_function(function_name)
except Exception as e:
print(e)
return
self._setting_sliders = True
self.destroy_sliders()
d = ani.function.get_enumerated_default_values()
for i in range(len(d)):
symbol = d[i][0]
value = d[i][1]
slider_box = HorizontalSliderBox(self, symbol)
self.control_widgets.addWidget(slider_box)
slider_box.set_range(-10.0, 10.0)
slider_box.set_number_of_ticks(2001)
slider_box.set_observers([self])
slider_box.set_slider(value)
self.sliders.append(slider_box)
self.control_widgets.addWidget(self.circles_slider)
self.control_widgets.addWidget(self.slider_speed)
self._setting_sliders = False
self.on_slider_changed({})
def _build_control_widgets(self):
"""
Build the control widgets.
"""
self.entry = HorizontalEntryBox("Enter waveform f(t)")
self.dropdown_dict = {
"sine": "sin(t)",
"cosine": "cos(t)",
"gaussian": "3*exp(-t**2/(2*sigma**2 ))/2 - 1/2",
"sinc": "3*sinc(k*(6.5)*t)/2 - 1/2",
"rectangle": "3*rect(t)/2",
"sawtooth": "t/pi",
"triangle": "abs(t)",
# "function 1": "a*exp(-rect(k*t)**2)",
# "wave packet": "sin(4*k*t)*exp(-(t - x)**2/(2*sigma**2))",
# "sum of cosines": "0" +
# "".join([" + a_%d*cos(%d*t)" % (i, i) for i in range(1, 8)])
}
dropdown_list = ["Preset Waveform f(t)"]
dropdown_list.extend([key for key in self.dropdown_dict])
self.dropdown = QtWidgets.QComboBox(self)
self.dropdown.addItems(dropdown_list)
if hasattr(self.dropdown, "textActivated"):
self.dropdown.textActivated.connect(self.on_dropdown_changed)
else:
self.dropdown.activated.connect(self.on_dropdown_changed)
self.entry.set_observers([self])
self.circles_slider = HorizontalSliderBox(self, "Maximum Frequency")
self.slider_speed = HorizontalSliderBox(self, "Speed")
self.circles_slider.set_observers([self])
self.circles_slider.set_range(1, 80)
self.circles_slider.set_value_string_format("%d")
self.circles_slider.set_number_of_ticks(80)
self.circles_slider.set_value(80)
self.circles_slider.toggle_range_controls()
self.slider_speed.set_observers([self])
self.slider_speed.set_range(-5, 5)
self.slider_speed.set_value_string_format("%d")
self.slider_speed.set_number_of_ticks(11)
self.slider_speed.set_value(1)
self.slider_speed.toggle_range_controls()
# self.control_widgets.addWidget(self.mouse_dropdown)
self.control_widgets.addWidget(self.dropdown)
self.control_widgets.addWidget(self.entry)
self.control_widgets.addWidget(self.circles_slider)
self.control_widgets.addWidget(self.slider_speed)
def place_variable_sliders(self, d):
"""
Place the variable sliders.
Parameters:
d: the dictionary of the variables and their values.
"""
for i in range(len(d)):
symbol = d[i][0]
value = d[i][1]
slider_box = HorizontalSliderBox(self, symbol)
slider_box.set_range(-10.0, 10.0)
slider_box.set_number_of_ticks(2001)
slider_box.set_observers([self])
slider_box.set_slider(value)
self.widgets_layout.addWidget(slider_box)
self.sliders.append(slider_box)
self.widgets_layout.addWidget(self.speed_slider)
self.widgets_layout.addWidget(self.resolution_slider)
def __init__(self) -> None:
"""
Initializer.
"""
QtWidgets.QMainWindow.__init__(self)
self.setWindowTitle("A simple GUI")
self.sliders = []
self.window = QtWidgets.QWidget(self)
self.layout = QtWidgets.QHBoxLayout(self.window)
rect = QtWidgets.QApplication.desktop().screenGeometry()
self.canvas = Canvas(self, rect)
color_name = self.window.palette().color(
QtGui.QPalette.Background).name()
self.canvas.get_animation().figure.patch.set_facecolor(color_name)
self.layout.addWidget(self.canvas)
self.setCentralWidget(self.window)
self.canvas.animation_loop()
self.speed_slider = HorizontalSliderBox(self, "Animation Speed ")
self.resolution_slider = HorizontalSliderBox(self, "Number of circles ")
self.mouse_dropdown = QtWidgets.QComboBox(self)
self.mouse_dropdown.addItems(["Mouse: ",
"Move plot view",
"Draw line"])
self.mouse_dropdown.activated.connect(self.on_mouse_dropdown_changed)
self.widgets_layout = QtWidgets.QVBoxLayout(self.window)
self.layout.addLayout(self.widgets_layout)
self.widgets_layout.addWidget(self.mouse_dropdown)
self.xy_entry = DoubleHorizontalEntryBox("Set x(t)", "Set y(t)")
self.xy_entry.set_observers([self.canvas.get_animation(), self])
self.sliders = []
self.widgets_layout.addWidget(self.xy_entry)
self.widgets_layout.addWidget(self.speed_slider)
self.speed_slider.set_number_of_ticks(201)
self.speed_slider.set_range(-100, 100)
self.speed_slider.set_slider(20.0)
self.speed_slider.set_observers([self])
self.speed_slider.set_value_string_format("%d")
self.widgets_layout.addWidget(self.resolution_slider)
self.resolution_slider.set_number_of_ticks(100)
self.resolution_slider.set_range(1, 100)
self.resolution_slider.set_slider(100)
self.resolution_slider.set_value_string_format("%d")
self.resolution_slider.set_observers([self])
class App(QtWidgets.QMainWindow):
"""
Main qt5 app.
"""
def __init__(self) -> None:
"""
Initializer.
"""
QtWidgets.QMainWindow.__init__(self)
self.setWindowTitle("A simple GUI")
self.menu_bar = self.menuBar()
file_menu = self.menu_bar.addMenu('&file')
file_menu.addAction(
"Save figure",
lambda: self.canvas.get_animation().figure.savefig("figure.png"))
file_menu.addAction("Quit", lambda: QtWidgets.QApplication.exit())
self.help = self.menu_bar.addMenu('&help')
dialogue = QtWidgets.QMessageBox(self)
# dialogue.aboutQt(self, "Title")
self.message_box = dialogue
self.setFocusPolicy(QtCore.Qt.StrongFocus)
self.help.addAction("instructions", self.show_instructions)
self.help.addAction("about the GUI", self.show_about_gui)
# self._scroll_area = None
# self.sliders = []
self._setting_sliders = False
self.variable_sliders = VariableSlidersManager(parent=self)
self.window = QtWidgets.QWidget(self)
self.layout = QtWidgets.QHBoxLayout(self.window)
rect = QtWidgets.QApplication.desktop().screenGeometry()
self.canvas = Canvas(self, rect)
color_name = self.window.palette().color(
QtGui.QPalette.Background).name()
self.canvas.get_animation().figure.patch.set_facecolor(color_name)
# self.layout.addWidget(self.menu_bar)
self.layout.addWidget(self.canvas)
self.control_widgets = QtWidgets.QVBoxLayout()
self.layout.addLayout(self.control_widgets)
self._build_control_widgets()
self.setCentralWidget(self.window)
self.canvas.animation_loop()
def _build_control_widgets(self):
"""
Build the control widgets.
"""
self.entry = HorizontalEntryBox("Enter waveform f(t)")
self.dropdown_dict = {
"sine": "sin(t)",
"cosine": "cos(t)",
"gaussian": "3*exp(-t**2/(2*sigma**2 ))/2 - 1/2",
"sinc": "3*sinc(k*(6.5)*t)/2 - 1/2",
"rectangle": "3*rect(t)/2",
"sawtooth": "t/pi",
"triangle": "abs(t)",
# "function 1": "a*exp(-rect(k*t)**2)",
# "wave packet": "sin(4*k*t)*exp(-(t - x)**2/(2*sigma**2))",
# "sum of cosines": "0" +
# "".join([" + a_%d*cos(%d*t)" % (i, i) for i in range(1, 8)])
}
dropdown_list = ["Preset Waveform f(t)"]
dropdown_list.extend([key for key in self.dropdown_dict])
self.dropdown = QtWidgets.QComboBox(self)
self.dropdown.addItems(dropdown_list)
if hasattr(self.dropdown, "textActivated"):
self.dropdown.textActivated.connect(self.on_dropdown_changed)
else:
self.dropdown.activated.connect(self.on_dropdown_changed)
self.entry.set_observers([self])
self.circles_slider = HorizontalSliderBox(self, "Maximum Frequency")
self.slider_speed = HorizontalSliderBox(self, "Speed")
self.circles_slider.set_observers([self])
self.circles_slider.set_range(1, 80)
self.circles_slider.set_value_string_format("%d")
self.circles_slider.set_number_of_ticks(80)
self.circles_slider.set_value(80)
self.circles_slider.toggle_range_controls()
self.slider_speed.set_observers([self])
self.slider_speed.set_range(-5, 5)
self.slider_speed.set_value_string_format("%d")
self.slider_speed.set_number_of_ticks(11)
self.slider_speed.set_value(1)
self.slider_speed.toggle_range_controls()
# self.control_widgets.addWidget(self.mouse_dropdown)
self.control_widgets.addWidget(self.dropdown)
self.control_widgets.addWidget(self.entry)
self.control_widgets.addWidget(self.circles_slider)
self.control_widgets.addWidget(self.slider_speed)
def show_instructions(self) -> None:
"""
Show instructions.
"""
message = (
"This app displays the (discrete) Fourier series of "
"real, periodic, and well-behaved functions "
"using rotating circles to represent each term. "
"To visualize the Fourier Series for a different function, "
"choose one of the preset functions in the "
"Preset Waveform f(t) dropown menu, "
"or enter a new function in the Enter waveform f(t) entry box. "
"The function that you entered must be a function of t. "
"This function can depend on other variables, where "
"these variables are changed through sliders. "
"Change the number of circles displayed by changing the value "
"of the Maximum Frequency slider. "
"To change the animation rate, use the Speed slider. "
"Take a screenshot of the graph by selecting the "
"file sidebar and clicking Save figure. "
"To close the app, go to the file sidebar and select Quit.")
self.message_box.about(self, "Instructions", message)
def show_about_gui(self) -> None:
"""
Show the about dialog.
"""
message = (r"The GUI is built using "
r"<a href=https://wiki.qt.io/Qt_for_PythonPySide2>"
r"PySide2</a>,"
r" which is published under the"
r" <a href=https://www.gnu.org/licenses/"
r"lgpl-3.0.en.html>LGPL</a>.")
self.message_box.about(self, "About", message)
def on_dropdown_changed(self, text: Union[int, str]) -> None:
"""
Perform an action when the dropdown is changed.
Parameters:
text: either the index of the dropdown or text
at the given index of the dropdown.
"""
if isinstance(text, str):
if not text == "Preset Waveform f(t)":
self.set_function_from_text(self.dropdown_dict[text])
elif isinstance(text, int):
n = text
text = self.dropdown.itemText(n)
if not text == "Preset Waveform f(t)":
self.set_function_from_text(self.dropdown_dict[text])
ani = self.canvas.get_animation()
if text == "gaussian":
ani.function_display.set_text(r"$f(t; \sigma) = "
r"exp(-t^2/2 \sigma^2)$"
r" , $ t = s (mod(2 \pi)) - \pi $")
elif text == "sinc":
ani.function_display.set_text(r"$f(t; k) = "
r"sinc(kt)$"
r" , $ t = s (mod(2 \pi)) - \pi $")
else:
ani.function_display.set_text(r"$f(t)$"
r" , $ t = s (mod(2 \pi)) - \pi $")
def set_function_from_text(self, text: str) -> None:
"""
Set the function from text.
Parameters:
text: function expressed as a string.
"""
if text.strip() != "":
function_name = text
try:
ani = self.canvas.get_animation()
ani.set_function(function_name)
except Exception as e:
print(e)
return
self.destroy_sliders()
self._setting_sliders = True
d = ani.function.get_enumerated_default_values()
self.variable_sliders.set_sliders([self.control_widgets], d)
self.control_widgets.addWidget(self.circles_slider)
self.control_widgets.addWidget(self.slider_speed)
self._setting_sliders = False
self.on_slider_changed({})
def on_slider_changed(self, slider_input: dict) -> None:
"""
When the slider is changed perform some action.
Parameters:
slider_input: a dictionary containing information
about the slider.
"""
if 'id' in slider_input and isinstance(slider_input['id'], str):
ani = self.canvas.get_animation()
if slider_input['id'] == "Speed":
ani.set_speed(slider_input['value'])
elif slider_input['id'] == "Maximum Frequency":
ani.set_number_of_circles(int(slider_input['value']) + 1)
else:
if not self._setting_sliders:
params = self.variable_sliders.get_slider_parameters()
ani = self.canvas.get_animation()
ani.set_params(*params)
def destroy_sliders(self) -> None:
"""
Destroy the sliders.
"""
self.variable_sliders.destroy_sliders(
[self.control_widgets, self.layout])
self.control_widgets.removeWidget(self.circles_slider)
self.control_widgets.removeWidget(self.slider_speed)
def on_entry_returned(self, text: str) -> None:
"""
Perform an action when the enter function is pressed.
Parameters:
text: a string from an entry box.
"""
self.set_function_from_text(text)
class App(QtWidgets.QMainWindow):
"""
Main qt5 app.
"""
def __init__(self) -> None:
"""
Initializer.
"""
QtWidgets.QMainWindow.__init__(self)
self.setWindowTitle("A simple GUI")
self.sliders = []
self.window = QtWidgets.QWidget(self)
self.layout = QtWidgets.QHBoxLayout(self.window)
rect = QtWidgets.QApplication.desktop().screenGeometry()
self.canvas = Canvas(self, rect)
color_name = self.window.palette().color(
QtGui.QPalette.Background).name()
self.canvas.get_animation().figure.patch.set_facecolor(color_name)
self.layout.addWidget(self.canvas)
self.setCentralWidget(self.window)
self.canvas.animation_loop()
self.speed_slider = HorizontalSliderBox(self, "Animation Speed ")
self.resolution_slider = HorizontalSliderBox(self, "Number of circles ")
self.mouse_dropdown = QtWidgets.QComboBox(self)
self.mouse_dropdown.addItems(["Mouse: ",
"Move plot view",
"Draw line"])
self.mouse_dropdown.activated.connect(self.on_mouse_dropdown_changed)
self.widgets_layout = QtWidgets.QVBoxLayout(self.window)
self.layout.addLayout(self.widgets_layout)
self.widgets_layout.addWidget(self.mouse_dropdown)
self.xy_entry = DoubleHorizontalEntryBox("Set x(t)", "Set y(t)")
self.xy_entry.set_observers([self.canvas.get_animation(), self])
self.sliders = []
self.widgets_layout.addWidget(self.xy_entry)
self.widgets_layout.addWidget(self.speed_slider)
self.speed_slider.set_number_of_ticks(201)
self.speed_slider.set_range(-100, 100)
self.speed_slider.set_slider(20.0)
self.speed_slider.set_observers([self])
self.speed_slider.set_value_string_format("%d")
self.widgets_layout.addWidget(self.resolution_slider)
self.resolution_slider.set_number_of_ticks(100)
self.resolution_slider.set_range(1, 100)
self.resolution_slider.set_slider(100)
self.resolution_slider.set_value_string_format("%d")
self.resolution_slider.set_observers([self])
def on_mouse_dropdown_changed(self, index: int) -> None:
"""
On mouse dropdown changed
Parameters:
index: index of the mouse change.
"""
self.canvas.set_mouse_usage(index)
def on_entry_returned(self, entry_info) -> None:
"""
On entry returned
Parameters:
entry_info: the dictionary containing info about
the entry.
"""
ani = self.canvas.get_animation()
n = ani.get_number_of_points()
self.resolution_slider.set_range(1, n-1)
self.resolution_slider.set_number_of_ticks(n-1)
self.resolution_slider.set_slider(n-1)
ft = ani.get_functions()
def_val = ft.get_enumerated_default_values()
self.destroy_sliders()
self.place_variable_sliders(def_val)
def place_variable_sliders(self, d):
"""
Place the variable sliders.
Parameters:
d: the dictionary of the variables and their values.
"""
for i in range(len(d)):
symbol = d[i][0]
value = d[i][1]
slider_box = HorizontalSliderBox(self, symbol)
slider_box.set_range(-10.0, 10.0)
slider_box.set_number_of_ticks(2001)
slider_box.set_observers([self])
slider_box.set_slider(value)
self.widgets_layout.addWidget(slider_box)
self.sliders.append(slider_box)
self.widgets_layout.addWidget(self.speed_slider)
self.widgets_layout.addWidget(self.resolution_slider)
def destroy_sliders(self) -> None:
"""
Destroy the sliders of the entry inputs.
"""
while self.sliders:
slider_box = self.sliders.pop()
self.widgets_layout.removeWidget(slider_box)
self.layout.removeWidget(slider_box)
slider_box.destroy_slider()
slider_box.close()
self.widgets_layout.removeWidget(self.speed_slider)
self.widgets_layout.removeWidget(self.resolution_slider)
def on_slider_changed(self, slider_dict) -> None:
"""
On slider changed.
Parameters:
slider_dict: dictionary containing information
about the slider.
"""
if slider_dict['id'] == "Animation Speed ":
speed = slider_dict['value']
self.canvas.get_animation().set_animation_speed(speed)
elif slider_dict['id'] == "Number of circles ":
resolution = slider_dict['value']
self.canvas.get_animation().set_circle_resolution(int(resolution)+1)
elif self.sliders != []:
params = []
for slider in self.sliders:
info = slider.get_slider_info()
params.append(info['value'])
ani = self.canvas.get_animation()
ani.set_params(*params)