Cursor and event handling in Matplotlib - Time & Space Complexity

Time Complexity: Cursor and event handling

O(n)

Understanding Time Complexity

When using cursor and event handling in matplotlib, it is important to understand how the program's speed changes as more events happen.

We want to know how the time to respond grows when many events occur.

Scenario Under Consideration

Analyze the time complexity of the following code snippet.

import matplotlib.pyplot as plt

fig, ax = plt.subplots()
line, = ax.plot([0, 1, 2], [0, 1, 0])

def on_move(event):
    if event.inaxes:
        x, y = event.xdata, event.ydata
        print(f"Cursor at: ({x:.2f}, {y:.2f})")

cid = fig.canvas.mpl_connect('motion_notify_event', on_move)
plt.show()

This code sets up a plot and prints the cursor position whenever the mouse moves inside the plot area.

Identify Repeating Operations

Identify the loops, recursion, array traversals that repeat.

• Primary operation: The event handler on_move runs every time the mouse moves inside the plot.
• How many times: It runs once per mouse movement event, which can be many times per second.

How Execution Grows With Input

As the number of mouse movements increases, the number of times on_move runs also increases directly.

Input Size (n)	Approx. Operations
10	10 calls to on_move
100	100 calls to on_move
1000	1000 calls to on_move

Pattern observation: The number of operations grows linearly with the number of mouse events.

Final Time Complexity

Time Complexity: O(n)

This means the time to handle events grows directly with the number of mouse movements.

Common Mistake

[X] Wrong: "The event handler runs only once, so time does not grow with more mouse moves."

[OK] Correct: The handler runs every time the mouse moves, so more moves mean more calls and more time.

Interview Connect

Understanding how event handling scales helps you write responsive and efficient interactive plots, a useful skill in data visualization tasks.

Self-Check

What if we added a loop inside the event handler that processes a list of size m? How would the time complexity change?

Practice

1. What is the main purpose of using mpl_connect in matplotlib?

easy

A. To create a new figure window

B. To connect an event like mouse click to a custom function

C. To save the current plot as an image file

D. To change the color of the plot lines

Solution

1. Step 1: Understand what mpl_connect does

   mpl_connect links events such as mouse clicks or key presses to functions you define.

2. Step 2: Identify the correct purpose

   It does not save images, create figures, or change colors directly. It connects events to functions.

3. Final Answer:

   To connect an event like mouse click to a custom function -> Option B

4. Quick Check:

   Event connection = C [OK]

Hint: Remember: mpl_connect links events to your functions [OK]

Common Mistakes:

• Thinking mpl_connect saves or modifies plots directly
• Confusing mpl_connect with figure creation
• Assuming mpl_connect changes plot styles

2. Which of the following is the correct syntax to connect a mouse click event to a function named on_click using matplotlib?

easy

A. fig.connect_event('button_press', on_click)

B. fig.mpl_connect('click', on_click)

C. fig.canvas.mpl_connect('button_press_event', on_click)

D. fig.connect('mouse_click', on_click)

Solution

1. Step 1: Recall the correct event name for mouse clicks

   The correct event name in matplotlib for mouse button press is 'button_press_event'.

2. Step 2: Check the syntax of mpl_connect

   The method is called on the figure's canvas as fig.canvas.mpl_connect(event_name, function).

3. Final Answer:

   fig.canvas.mpl_connect('button_press_event', on_click) -> Option C

4. Quick Check:

   Correct event name and syntax = A [OK]

Hint: Use 'button_press_event' for mouse clicks with mpl_connect [OK]

Common Mistakes:

• Using wrong event names like 'click' or 'mouse_click'
• Using non-existent methods like connect_event
• Mixing up method names and event strings

3. Consider the code below:

import matplotlib.pyplot as plt

fig, ax = plt.subplots()

def on_move(event):
    print(f"Mouse at: {event.xdata}, {event.ydata}")

cid = fig.canvas.mpl_connect('motion_notify_event', on_move)
plt.show()

What will happen when you move the mouse over the plot area?

medium

A. The coordinates of the mouse pointer inside the plot will be printed continuously

B. Nothing will happen because the event is not connected properly

C. The plot will close immediately

D. An error will occur because event.xdata is undefined

Solution

1. Step 1: Understand the event type 'motion_notify_event'

   This event triggers whenever the mouse moves over the figure canvas.

2. Step 2: Analyze the function on_move

   The function prints the mouse coordinates inside the plot area using event.xdata and event.ydata.

3. Final Answer:

   The coordinates of the mouse pointer inside the plot will be printed continuously -> Option A

4. Quick Check:

   Mouse move event prints coords = B [OK]

Hint: motion_notify_event tracks mouse movement over plot [OK]

Common Mistakes:

• Assuming no output because event is not connected
• Thinking event.xdata is always None or undefined
• Expecting plot to close on mouse move

4. The following code is intended to print the mouse button pressed, but it raises an error:

import matplotlib.pyplot as plt

fig, ax = plt.subplots()

def on_click(event):
    print(f"Button pressed: {event.button}")

fig.canvas.mpl_connect('button_press_event', on_click())
plt.show()

What is the error and how to fix it?

medium

A. The function is called immediately; remove parentheses in mpl_connect

B. The event name is wrong; use 'mouse_press' instead

C. event.button does not exist; use event.key instead

D. mpl_connect should be called on ax, not fig

Solution

1. Step 1: Identify the error in function connection

   Using on_click() calls the function immediately instead of passing it as a reference.

2. Step 2: Correct the function reference in mpl_connect

   Remove parentheses to pass the function itself: fig.canvas.mpl_connect('button_press_event', on_click).

3. Final Answer:

   The function is called immediately; remove parentheses in mpl_connect -> Option A

4. Quick Check:

   Pass function, not call it = D [OK]

Hint: Pass function name without () to mpl_connect [OK]

Common Mistakes:

• Calling the function instead of passing it
• Using wrong event names
• Trying to access wrong event attributes

5. You want to create an interactive plot where clicking inside the plot area prints the nearest data point's coordinates from a scatter plot. Which approach correctly combines cursor event handling and data lookup?

hard

A. Use plt.scatter() with a parameter to automatically print nearest point on click

B. Use 'motion_notify_event' to print coordinates continuously without checking points

C. Connect 'key_press_event' to print data points when any key is pressed

D. Connect 'button_press_event' to a function that calculates distances from click to all points and prints nearest

Solution

1. Step 1: Identify the correct event for mouse clicks

   Use 'button_press_event' to detect mouse clicks inside the plot.

2. Step 2: Implement logic to find nearest data point

   Calculate distances from click position to all scatter points, then print the closest one.

3. Step 3: Verify other options

   'motion_notify_event' prints continuously, 'key_press_event' is unrelated, and plt.scatter has no auto-print feature.

4. Final Answer:

   Connect 'button_press_event' to a function that calculates distances from click to all points and prints nearest -> Option D

5. Quick Check:

   Click event + nearest point logic = A [OK]

Hint: Use click event plus distance check to find nearest point [OK]

Common Mistakes:

• Using motion event instead of click for selection
• Expecting built-in auto-print in scatter
• Confusing key press with mouse click events