The Comparison of Time Complexity between Dynamic Array Pushing and Assigning to a Fixed Size Array in JavaScript

Consider the following example with dynamic arrays:

let numbersArray = [];

    for(let i = 0; i < 5; i++)
    numbersArray.push(i+1);

and then we have another array:

let valuesArray = Array(6); //Keep in mind that this array has a size of 6 compared to the initial array which had a size of 5.

for(let i = 0; i < 5; i++)
        valuesArray[i] = i+1;

Now, the operation to append an element to the end of the array is demonstrated with:

numbersArray.push(6);

There's a question raised regarding whether this operation will have a complexity of O(n), involving moving the array to a new one before appending 6, or if it will simply be O(1).

Furthermore, a comparison is made between declaring an empty array like const numbersArray = [] and populating it versus initializing an empty array (with a known size) and filling it with elements individually.

Let's illustrate this comparison through two methods:

Method 1:

const firstArray = [];

for(let i = 0; i < 5; i++)
firstArray.push(retrieveFirstFiveValues(i));
//Assuming retrieveFirstFiveValues is a separate function

firstArray.push(getSixthValue());

or Method 2:

const secondArray = Array(6);
for(let i = 0; i < 5; i++)
secondArray[i] = retrieveFirstFiveValues(i);

secondArray[secondArray.length - 1] = getSixthValue();

Answer №1

It is highly recommended to declare an array with a predefined size. This is because when you append elements to an undersized array, JavaScript may need to duplicate the existing array behind the scenes in order to accommodate the new values, resulting in lower performance as it's not always O(1) due to potential array copying. On the other hand, initializing the array with a set size ensures that all additions are executed in constant time O(1).

Answer №2

Is it necessary to set the initial length of an array? In theory, initializing the length is not essential. In fact, it might lead to unexpected results since any tests checking for empty arrays will mistakenly indicate that the array contains elements. Certain studies suggest that predefining the size of extensive arrays could improve performance when adding elements afterward. However, the extent of this performance enhancement varies across different web browsers.

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