Nullable types in functions in PHP - Time & Space Complexity

Time Complexity: Nullable types in functions

O(1)

Understanding Time Complexity

We want to see how using nullable types in functions affects the time it takes to run the code.

Does allowing a value to be null change how long the function takes to finish?

Scenario Under Consideration

Analyze the time complexity of the following code snippet.

function processValue(?int $value): int {
    if ($value === null) {
        return 0;
    }
    return $value * 2;
}

$result = processValue(10);
$resultNull = processValue(null);
    

This function takes an integer or null, checks if it is null, and returns a result accordingly.

Identify Repeating Operations

Identify the loops, recursion, array traversals that repeat.

• Primary operation: There are no loops or repeated steps; just a simple check and calculation.
• How many times: The function runs once per call, doing a fixed number of steps.

How Execution Grows With Input

The function does the same small number of steps no matter what number or null you give it.

Input Size (n)	Approx. Operations
10	3 steps
100	3 steps
1000	3 steps

Pattern observation: The number of steps stays the same no matter the input size.

Final Time Complexity

Time Complexity: O(1)

This means the function takes the same short time to run no matter what input it gets.

Common Mistake

[X] Wrong: "Nullable types make the function slower because it has to check for null every time."

[OK] Correct: The null check is just one simple step and does not grow with input size, so it does not slow down the function noticeably.

Interview Connect

Understanding how simple checks like nullable types affect performance helps you explain your code clearly and shows you think about efficiency, which is a great skill to have.

Self-Check

"What if the function processed an array of nullable integers instead of a single nullable integer? How would the time complexity change?"

Practice

1. What does a nullable type declaration like ?int mean in a PHP function parameter?

easy

A. The parameter is optional and defaults to zero.

B. The parameter can be either an integer or null.

C. The parameter can be any type except integer.

D. The parameter must always be an integer, never null.

Solution

1. Step 1: Understand nullable type syntax

   The ? before int means the parameter can accept null or an int value.

2. Step 2: Interpret the meaning in function parameters

   This allows the function to safely accept missing or empty values represented by null.

3. Final Answer:

   The parameter can be either an integer or null. -> Option B

4. Quick Check:

   Nullable type = int or null [OK]

Hint: Nullable means type or null allowed, check for ? before type [OK]

Common Mistakes:

• Thinking nullable means optional parameter
• Assuming nullable excludes null values
• Confusing nullable with default values

2. Which of the following is the correct nullable type syntax to declare a function parameter that accepts a nullable string in PHP?

easy

A. function greet(string? $name) {}

B. function greet(string|null $name) {}

C. function greet(?string $name) {}

D. function greet($name?: string) {}

Solution

1. Step 1: Recall nullable type syntax in PHP

   Nullable types use a question mark ? before the type, like ?string.

2. Step 2: Check each option's syntax

   function greet(?string $name) {} uses ?string correctly. function greet(string|null $name) {} uses union type syntax which is valid in PHP 8+, but the question asks for nullable syntax specifically. Options C and D are invalid syntax.

3. Final Answer:

   function greet(?string $name) {} -> Option C

4. Quick Check:

   Nullable syntax = ?type before parameter [OK]

Hint: Use ? before type for nullable, not after or inside parentheses [OK]

Common Mistakes:

• Placing ? after the type name
• Using union type syntax instead of nullable syntax
• Misplacing the question mark in parameter

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

function checkAge(?int $age) {
    if ($age === null) {
        return "Age not provided";
    }
    return "Age is $age";
}

echo checkAge(null);

medium

A. Age not provided

B. Age is

C. Error: Argument must be int

D. Age is null

Solution

1. Step 1: Understand nullable parameter and null check

   The function accepts an ?int, so null is allowed. It checks if $age === null and returns "Age not provided".

2. Step 2: Call the function with null

   Calling checkAge(null) triggers the null check, so it returns "Age not provided".

3. Final Answer:

   Age not provided -> Option A

4. Quick Check:

   Nullable param null input returns null check message [OK]

Hint: Check for null explicitly when using nullable types [OK]

Common Mistakes:

• Assuming null converts to empty string
• Expecting type error on null input
• Ignoring strict null check with ===

4. Identify the error in this PHP function declaration:

function setName(?string name) {
    echo $name;
}

medium

A. Missing dollar sign ($) before parameter name.

B. Nullable types cannot be used with strings.

C. Function must return a value.

D. Parameter cannot be nullable without default value.

Solution

1. Step 1: Check parameter syntax

   In PHP, all variable names must start with a dollar sign $. The parameter name is missing $.

2. Step 2: Validate nullable type usage

   Nullable types like ?string are valid. The function does not require a return value. Parameters can be nullable without default values.

3. Final Answer:

   Missing dollar sign ($) before parameter name. -> Option A

4. Quick Check:

   Parameter variables need $ prefix [OK]

Hint: Always prefix parameter names with $ in PHP functions [OK]

Common Mistakes:

• Omitting $ in parameter names
• Thinking nullable types need default values
• Expecting functions must return values

5. You want to write a PHP function that accepts a nullable float and returns its square if given, or returns 0 if null. Which of the following implementations is correct?

hard

A. function square(?float $num): float {
return $num * $num;
}

B. function square(?float $num): ?float {
return $num ? $num * $num : 0;
}

C. function square(float $num = null): float {
return $num * $num;
}

D. function square(?float $num): float {
if ($num === null) {
return 0;
}
return $num ** 2;
}

Solution

1. Step 1: Check nullable parameter and return type

   The function accepts ?float and returns float. It must handle null safely and return a float.

2. Step 2: Analyze each option's logic

   function square(?float $num): float { return $num * $num; } does not check for null and will cause an error if $num is null. function square(?float $num): float { if ($num === null) { return 0; } return $num ** 2; } checks for null explicitly and returns 0, then squares the number correctly. function square(float $num = null): float { return $num * $num; } uses default null but parameter is not nullable, causing a type error. function square(?float $num): ?float { return $num ? $num * $num : 0; } returns nullable float but uses a loose check $num ? which fails for 0.0 (falsey), so it returns 0 incorrectly.

3. Final Answer:

   function square(?float $num): float { if ($num === null) { return 0; } return $num ** 2; } -> Option D

4. Quick Check:

   Check null explicitly, return float, use strict null check [OK]

Hint: Always check null explicitly before math with nullable types [OK]

Common Mistakes:

• Not checking for null before calculation
• Using loose truthy checks that fail on 0.0
• Mismatching return types with nullable parameters