If-elseif-else statements in MATLAB - Time & Space Complexity

Time Complexity: If-elseif-else statements

O(1)

Understanding Time Complexity

We want to see how the time to run if-elseif-else statements changes as input changes.

Specifically, we ask: does checking conditions take more time when inputs grow?

Scenario Under Consideration

Analyze the time complexity of the following code snippet.

x = randi(100);
if x < 10
    disp('Less than 10');
elseif x < 50
    disp('Between 10 and 49');
else
    disp('50 or more');
end

This code checks a number and prints a message based on which range it falls into.

Identify Repeating Operations

Identify the loops, recursion, array traversals that repeat.

• Primary operation: Checking conditions in if-elseif-else statements.
• How many times: Each condition is checked at most once in order until one matches.

How Execution Grows With Input

Checking conditions happens in a fixed sequence, no matter the input size.

Input Size (n)	Approx. Operations
10	Up to 3 checks
100	Up to 3 checks
1000	Up to 3 checks

Pattern observation: The number of checks stays the same regardless of input size.

Final Time Complexity

Time Complexity: O(1)

This means the time to run the if-elseif-else does not grow as input size grows.

Common Mistake

[X] Wrong: "If statements take longer when numbers get bigger because there are more possibilities."

[OK] Correct: The number of conditions checked is fixed and does not depend on the size of the number, only on how many conditions you wrote.

Interview Connect

Understanding that if-elseif-else statements run in constant time helps you explain simple decision-making code clearly and confidently.

Self-Check

"What if we added a loop around the if-elseif-else to check many numbers? How would the time complexity change?"

Practice

1. What does an if-elseif-else statement do in MATLAB?

easy

A. It creates a variable.

B. It repeats a block of code multiple times.

C. It defines a function.

D. It chooses one action based on conditions.

Solution

1. Step 1: Understand the purpose of if-elseif-else

   The if-elseif-else structure lets the program check conditions one by one and run the code for the first true condition.

2. Step 2: Compare with other options

   Repeating code is done by loops, functions define reusable code, and variables store data, so these are not correct.

3. Final Answer:

   It chooses one action based on conditions. -> Option D

4. Quick Check:

   If-elseif-else = choose action [OK]

Hint: If you see conditions, think if-elseif-else [OK]

Common Mistakes:

• Confusing if-elseif-else with loops
• Thinking it defines functions
• Believing it creates variables

2. Which of the following is the correct syntax to start an if-elseif-else block in MATLAB?

easy

A. if x > 0
elseif x == 0
else
end

B. if x > 0 elseif x == 0 else end

C. if (x > 0) then elseif (x == 0) else end

D. if x > 0; elseif x == 0; else; end

Solution

1. Step 1: Check MATLAB syntax rules

   MATLAB requires each keyword (if, elseif, else, end) on its own line or separated by line breaks, without 'then'.

2. Step 2: Analyze each option

   if x > 0 elseif x == 0 else end uses line breaks correctly. if x > 0 elseif x == 0 else end misses line breaks. if (x > 0) then elseif (x == 0) else end uses 'then' which is invalid. if x > 0; elseif x == 0; else; end uses semicolons incorrectly in control flow.

3. Final Answer:

   if x > 0 elseif x == 0 else end -> Option A

4. Quick Check:

   MATLAB if-elseif-else needs line breaks [OK]

Hint: Use line breaks, no 'then' in MATLAB if statements [OK]

Common Mistakes:

• Using 'then' keyword
• Putting all keywords on one line without breaks
• Using semicolons after if/elseif/else

3. What will be the output of this MATLAB code?

score = 75;
if score >= 90
    grade = 'A';
elseif score >= 80
    grade = 'B';
elseif score >= 70
    grade = 'C';
else
    grade = 'F';
end
disp(grade)

medium

A. C

B. B

C. A

D. F

Solution

1. Step 1: Check conditions in order

   score is 75, first condition score >= 90 is false, second score >= 80 is false, third score >= 70 is true.

2. Step 2: Assign grade and display

   Since third condition is true, grade = 'C' is assigned and displayed.

3. Final Answer:

   C -> Option A

4. Quick Check:

   75 >= 70 -> grade C [OK]

Hint: Check conditions top to bottom, first true wins [OK]

Common Mistakes:

• Choosing grade B or A incorrectly
• Ignoring order of conditions
• Forgetting to use end to close if block

4. Identify the error in this MATLAB code snippet:

value = 10;
if value > 5
    disp('Greater than 5')
elseif value < 5
    disp('Less than 5')
else
    disp('Equal to 5')

medium

A. Missing semicolon after disp statements

B. Missing end to close the if block

C. Incorrect use of elseif instead of else if

D. Using single quotes instead of double quotes

Solution

1. Step 1: Check if block completeness

   The if-elseif-else block must end with an end keyword in MATLAB to close it properly.

2. Step 2: Verify other syntax elements

   Semicolons after disp are optional, elseif is correct keyword, and single quotes are correct for strings in MATLAB.

3. Final Answer:

   Missing end to close the if block -> Option B

4. Quick Check:

   if blocks need end [OK]

Hint: Always close if with end [OK]

Common Mistakes:

• Forgetting end keyword
• Confusing elseif with else if
• Thinking semicolons are mandatory after disp

5. You want to write a MATLAB function that returns:
- 'Positive' if input > 0
- 'Zero' if input == 0
- 'Negative' if input < 0
Which if-elseif-else structure correctly implements this?

hard

A. if x > 0
result = 'Positive';
else if x == 0
result = 'Zero';
else
result = 'Negative';
end

B. if x >= 0
result = 'Positive';
elseif x == 0
result = 'Zero';
else
result = 'Negative';
end

C. if x > 0
result = 'Positive';
elseif x == 0
result = 'Zero';
else
result = 'Negative';
end

D. if x > 0
result = 'Positive';
elseif x > 0
result = 'Zero';
else
result = 'Negative';
end

Solution

1. Step 1: Check condition order and correctness

   if x > 0 result = 'Positive'; elseif x == 0 result = 'Zero'; else result = 'Negative'; end correctly checks x > 0 first, then x == 0, else negative. This covers all cases without overlap.

2. Step 2: Analyze other options for errors

   if x >= 0 result = 'Positive'; elseif x == 0 result = 'Zero'; else result = 'Negative'; end wrongly treats x == 0 as Positive. if x > 0 result = 'Positive'; else if x == 0 result = 'Zero'; else result = 'Negative'; end uses invalid 'else if' instead of 'elseif'. if x > 0 result = 'Positive'; elseif x > 0 result = 'Zero'; else result = 'Negative'; end repeats x > 0 condition twice, missing zero case.

3. Final Answer:

   if x > 0 result = 'Positive'; elseif x == 0 result = 'Zero'; else result = 'Negative'; end -> Option C

4. Quick Check:

   Check conditions in order, use elseif [OK]

Hint: Use elseif, not else if; order conditions carefully [OK]

Common Mistakes:

• Using else if instead of elseif
• Overlapping conditions
• Wrong order causing incorrect results