Rcparams for global defaults in Matplotlib - Time & Space Complexity

Time Complexity: Rcparams for global defaults

O(n)

Understanding Time Complexity

We want to understand how changing global settings in matplotlib affects the time it takes to create plots.

Specifically, how does setting global defaults with rcParams impact performance as we make more plots?

Scenario Under Consideration

Analyze the time complexity of the following code snippet.

import matplotlib.pyplot as plt

plt.rcParams['lines.linewidth'] = 2
plt.rcParams['axes.titlesize'] = 'large'

for i in range(n):
    plt.plot([1, 2, 3], [i, i+1, i+2])
    plt.title(f'Plot {i}')
    plt.show()

This code sets global style defaults once, then creates and shows n plots using those defaults.

Identify Repeating Operations

Identify the loops, recursion, array traversals that repeat.

• Primary operation: Loop creating and displaying n plots.
• How many times: n times, once per plot.

How Execution Grows With Input

Each plot creation and display takes roughly the same time, so total time grows as we add more plots.

Input Size (n)	Approx. Operations
10	10 plot creations and displays
100	100 plot creations and displays
1000	1000 plot creations and displays

Pattern observation: The total work grows linearly as the number of plots increases.

Final Time Complexity

Time Complexity: O(n)

This means the time to run the code grows in direct proportion to the number of plots created.

Common Mistake

[X] Wrong: "Setting rcParams inside the loop will not affect performance."

[OK] Correct: Changing rcParams inside the loop repeats the global setting step each time, adding extra work and slowing down the process.

Interview Connect

Understanding how global settings affect repeated operations helps you write efficient plotting code and shows you can think about performance in real tasks.

Self-Check

"What if we set rcParams inside the loop before each plot? How would the time complexity change?"

Practice

1. What is the main purpose of rcParams in matplotlib?

easy

A. To set global style defaults for all plots

B. To create new plots with random styles

C. To save plots as image files

D. To import data into matplotlib

Solution

1. Step 1: Understand what rcParams controls

   rcParams is a dictionary-like object in matplotlib that stores default settings for plot styles.

2. Step 2: Identify the purpose of setting rcParams

   Setting rcParams changes the default appearance of all plots globally, so you don't have to style each plot individually.

3. Final Answer:

   To set global style defaults for all plots -> Option A

4. Quick Check:

   rcParams = global style defaults [OK]

Hint: Remember rcParams sets defaults for all plots globally [OK]

Common Mistakes:

• Thinking rcParams creates plots
• Confusing rcParams with saving files
• Believing rcParams imports data

2. Which of the following is the correct way to change the default figure size using rcParams?

easy

A. plt.rcParams['figure.size'] = (8, 6)

B. plt.rcParams['figsize'] = (8, 6)

C. plt.rcParams['fig.size'] = (8, 6)

D. plt.rcParams['figure.figsize'] = (8, 6)

Solution

1. Step 1: Recall the exact rcParams key for figure size

   The correct key is 'figure.figsize', which expects a tuple for width and height.

2. Step 2: Check the syntax for assignment

   Assigning a tuple like (8, 6) to plt.rcParams['figure.figsize'] sets the default figure size.

3. Final Answer:

   plt.rcParams['figure.figsize'] = (8, 6) -> Option D

4. Quick Check:

   Key 'figure.figsize' = correct syntax [OK]

Hint: Use 'figure.figsize' key exactly for figure size [OK]

Common Mistakes:

• Using wrong key names like 'figsize' or 'figure.size'
• Assigning a list instead of a tuple
• Forgetting to import matplotlib.pyplot as plt

3. What will be the default line width for all plots after running this code?

import matplotlib.pyplot as plt
plt.rcParams['lines.linewidth'] = 3
print(plt.rcParams['lines.linewidth'])

medium

A. 1

B. 2

C. 3

D. Error

Solution

1. Step 1: Understand the code effect on rcParams

   The code sets 'lines.linewidth' to 3, changing the default line width globally.

2. Step 2: Check the printed value

   After setting, printing plt.rcParams['lines.linewidth'] outputs 3, confirming the change.

3. Final Answer:

   3 -> Option C

4. Quick Check:

   Set then print 'lines.linewidth' = 3 [OK]

Hint: Setting rcParams key changes default; print confirms value [OK]

Common Mistakes:

• Expecting default 1 without setting
• Confusing linewidth with linestyle
• Thinking print causes error

4. Identify the error in this code that tries to set the default font size:

import matplotlib.pyplot as plt
plt.rcParams['font.size'] = 'large'

medium

A. The key 'font.size' is incorrect

B. The value should be a number, not a string

C. plt.rcParams cannot be modified

D. Missing import statement

Solution

1. Step 1: Check the key correctness

   'font.size' is the correct rcParams key for font size.

2. Step 2: Validate the value type

   The value must be a number (int or float), not a string like 'large'.

3. Final Answer:

   The value should be a number, not a string -> Option B

4. Quick Check:

   font.size value must be numeric [OK]

Hint: Font size values must be numbers, not words [OK]

Common Mistakes:

• Using string values for numeric rcParams keys
• Assuming rcParams keys are case-insensitive
• Forgetting to import matplotlib.pyplot

5. You want all your matplotlib plots to have a dark background and white grid lines by default. Which rcParams settings should you apply?

hard

A. plt.rcParams['axes.facecolor'] = 'black'; plt.rcParams['grid.color'] = 'white'

B. plt.rcParams['figure.facecolor'] = 'white'; plt.rcParams['grid.color'] = 'black'

C. plt.rcParams['axes.facecolor'] = 'white'; plt.rcParams['grid.color'] = 'black'

D. plt.rcParams['figure.facecolor'] = 'black'; plt.rcParams['grid.color'] = 'black'

Solution

1. Step 1: Identify the rcParams key for plot background

   'axes.facecolor' sets the background color inside the plot area, so set it to 'black' for dark background.

2. Step 2: Identify the rcParams key for grid line color

   'grid.color' controls the color of grid lines; setting it to 'white' makes them visible on a dark background.

3. Final Answer:

   plt.rcParams['axes.facecolor'] = 'black'; plt.rcParams['grid.color'] = 'white' -> Option A

4. Quick Check:

   Dark background + white grid = axes.facecolor black, grid.color white [OK]

Hint: Use axes.facecolor for background, grid.color for grid lines [OK]

Common Mistakes:

• Changing figure.facecolor instead of axes.facecolor
• Setting grid color to black on black background
• Confusing axes and figure color keys