What are the Big-O Time Complexities of Common PHP Functions?
Dec 04, 2024 am 02:23 AMBig-O Time Complexities for PHP Functions
This article presents a compilation of theoretical and practical Big-O time complexities for some of the most commonly used PHP built-in functions.
Lookup Functions
- isset( $array[$index] ) and array_key_exists: Despite being classified as O(n), these functions perform near O(1) hash lookups.
- in_array: Performs a linear search through the array, resulting in an O(n) complexity.
- array_search: Similar to in_array, but returns the value, leading to an O(n) complexity.
Queue Functions
- array_push: O(∑ var_i)
- array_pop: O(1)
- array_shift: O(n)
- array_unshift: O(n ∑ var_i)
Array Intersection, Union, and Subtraction
- array_intersect_key: O(Max(param_i_size) * ∑param_i_count) for 100% intersection, or O(∑param_i_size) for 0% intersection.
- array_intersect: O(n^2 * ∑param_i_count) for 100% intersection, or O(n^2) for 0% intersection.
- array_intersect_assoc: Similar to array_intersect_key.
- array_diff: O(π param_i_size) for all parameters.
- array_diff_key: O(∑ param_i_size) for all parameters not equal to the first.
- array_merge: O(∑ array_i) for all parameters except the first.
- (union): O(n) for the second array.
- array_replace: O(∑ array_i) for all parameters.
Random Functions
- shuffle: O(n)
- array_rand: O(n)
Obvious Big-O Functions
- array_fill, array_fill_keys: O(n)
- range: O(n)
- array_splice, array_slice: O(offset length)
- array_keys, array_values: O(n)
- array_reverse: O(n)
- array_pad: O(pad_size)
- array_flip: O(n)
- array_sum, array_product: O(n)
- array_reduce: O(n)
- array_filter, array_map: O(n)
- array_chunk, array_combine: O(n)
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