PHP Program to Check for a Cube Number

Posted in PHP Tutorial

Updated on Jan 11, 2024

By Mari Selvan

👁️ 75 - Views

⏳ 4 mins

💬 1 Comment

Photo Credit to CodeToFun

🙋 Introduction

In the realm of programming, mathematical properties of numbers often lead to interesting and practical applications. One such property is being a cube number. A cube number is an integer that is the cube of an integer.

In this tutorial, we'll delve into a PHP program that efficiently checks whether a given number is a perfect cube or not.

📄 Example

Let's take a look at the PHP code that accomplishes this functionality.

isPerfectCube.php

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<?php
// Function to check if a number is a perfect cube
function isPerfectCube($number)
{
  // Calculate the cube root of the number
  $cubeRoot = pow($number, 1 / 3);

  // Check if the cube root is close to an integer
  return abs($cubeRoot - round($cubeRoot)) < 1e-10;
}

// Driver program
// Replace this value with your desired number
$number = 27;

// Check if the number is a perfect cube
if (isPerfectCube($number))
{
  echo $number . " is a perfect cube.\n";
}
else
{
  echo $number . " is not a perfect cube.\n";
}

?>

💻 Testing the Program

To test the program with different numbers, simply replace the value of the $number variable in the script.

Output

27 is a cube number.

Run the script to check if the number is a perfect cube.

🧠 How the Program Works

The program defines a function isPerfectCube that takes a number as input and returns true if it is a perfect cube, and false otherwise.
Inside the function, it calculates the cube root of the number using the pow function.
It then checks if the cube root is close to an integer using a tolerance value (1e-10 in this case).
The main part of the script initializes a variable with a number and calls the isPerfectCube function to determine if it's a perfect cube.

📏 Between the Given Range

Let's dive into the PHP code that identifies cube numbers in the specified range.

isCubeNumber.php

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<?php
// Function to check if a number is a cube number
function isCubeNumber($number)
{
  // Calculate the cube root
  $cubeRoot = round(pow($number, 1 / 3));

  // Check if the cube of the cube root is equal to the original number
  return ($cubeRoot * $cubeRoot * $cubeRoot == $number);
}

// Display cube numbers in the range 1 to 50
echo "Cube numbers in the range 1 to 50:\n";

for ($i = 1;$i <= 50;++$i)
{
  if (isCubeNumber($i))
  {
    echo "$i ";
  }
}

?>

💻 Testing the Program

Output

Cube numbers in the range 1 to 50:
1 8 27

Run the script to see the cube numbers in the specified range.

🧠 How the Program Works

The program defines a function isCubeNumber that checks if a given number is a cube number.
Inside the function, it calculates the cube root of the number and checks if the cube of the cube root is equal to the original number.
The program then iterates through the numbers from 1 to 50, calling the function to identify and display cube numbers.

🧐 Understanding the Concept of Cube Number

A cube number is the result of raising an integer to the power of 3. For example, 2 * 2 * 2 = 8, so 8 is a cube number.

🎢 Optimizing the Program

The provided program is straightforward, but you might consider optimizing it further. For instance, you can explore alternative methods for checking if a number is a cube number without using the cbrt function.

Feel free to incorporate and modify this code as needed for your specific use case. Happy coding!