# Program to determine the octant of the axial plane

• Difficulty Level : Basic
• Last Updated : 23 Apr, 2021

Given 3 coordinates x, y and z, the task is to determine the octant of the axial plane.
Examples:

Input: 2, 3, 4
Output: Point lies in 1st octant
Input: -4, 2, -8
Output: Point lies in 6th octant
Input: -6, -2, 8
Output: Point lies in 3rd octant

Approach: Given below are the conditions which need to be checked in order to determine the octant of the axial plane.

• Check if x >= 0 and y >= 0 and z >= 0, then Point lies in 1st octant.
• Check x < 0 and y >= 0 and z >= 0, then Point lies in 2nd octant.
• Check if x < 0 and y < 0 and z >= 0, then Point lies in 3rd octant.
• Check if x >= 0 and y < 0 and z >= 0, then Point lies in 4th octant.
• Check if x >= 0 and y >= 0 and z < 0, then Point lies in 5th octant.
• Check if x < 0 and y >= 0 and z < 0, then Point lies in 6th octant.
• Check if x < 0 and y < 0 and z < 0, then Point lies in 7th octant.
• Check if x >= 0 and y < 0 and z < 0, then Point lies in 8th octant.

Below is the implementation of the above approach:

## C++

 `// C++ program to print octant``// of a given point.``#include ``#include` `using` `namespace` `std;` `// Function to print octant``void` `octant(``float` `x, ``float` `y,``                     ``float` `z)``{``    ``if` `(x >= 0 && y >= 0 && z >= 0)``        ``cout << ``"Point lies in 1st octant\n"``;``         ` `    ``else` `if` `(x < 0 && y >= 0 && z >= 0)``        ``cout << ``"Point lies in 2nd octant\n"``;``         ` `    ``else` `if` `(x < 0 && y < 0 && z >= 0)``        ``cout << ``"Point lies in 3rd octant\n"``;``         ` `    ``else` `if` `(x >= 0 && y < 0 && z >= 0)``        ``cout << ``"Point lies in 4th octant\n"``;``         ` `    ``else` `if` `(x >= 0 && y >= 0 && z < 0)``        ``cout << ``"Point lies in 5th octant\n"``;``         ` `    ``else` `if` `(x < 0 && y >= 0 && z < 0)``        ``cout << ``"Point lies in 6th octant\n"``;``         ` `    ``else` `if` `(x < 0 && y < 0 && z < 0)``        ``cout << ``"Point lies in 7th octant\n"``;``         ` `    ``else` `if` `(x >= 0 && y < 0 && z < 0)``        ``cout << ``"Point lies in 8th octant\n"``;``}` `// Driver Code``int` `main()``{``    ``float` `x = 2, y = 3, z = 4;``    ``octant(x, y, z) ;`` ` `    ``x = -4, y = 2, z = -8;``    ``octant(x, y, z);`` ` `    ``x = -6, y = -2, z = 8;``    ``octant(x, y, z);``    ``return` `0;``}``// This code is contributed``// by Amber_Saxena.`

## C

 `// C program to print octant``// of a given point.``#include ` `// Function to print octant``void` `octant(``float` `x, ``float` `y,``                     ``float` `z)``{``    ``if` `(x >= 0 && y >= 0 && z >= 0)``        ``printf``(``"Point lies in 1st octant\n"``);``        ` `    ``else` `if` `(x < 0 && y >= 0 && z >= 0)``        ``printf``(``"Point lies in 2nd octant\n"``);``        ` `    ``else` `if` `(x < 0 && y < 0 && z >= 0)``        ``printf``(``"Point lies in 3rd octant\n"``);``        ` `    ``else` `if` `(x >= 0 && y < 0 && z >= 0)``        ``printf``(``"Point lies in 4th octant\n"``);``        ` `    ``else` `if` `(x >= 0 && y >= 0 && z < 0)``        ``printf``(``"Point lies in 5th octant\n"``);``        ` `    ``else` `if` `(x < 0 && y >= 0 && z < 0)``        ``printf``(``"Point lies in 6th octant\n"``);``        ` `    ``else` `if` `(x < 0 && y < 0 && z < 0)``        ``printf``(``"Point lies in 7th octant\n"``);``        ` `    ``else` `if` `(x >= 0 && y < 0 && z < 0)``        ``printf``(``"Point lies in 8th octant\n"``);``}` `// Driver Code``int` `main()``{``    ``float` `x = 2, y = 3, z = 4;``    ``octant(x, y, z) ;` `    ``x = -4, y = 2, z = -8;``    ``octant(x, y, z);` `    ``x = -6, y = -2, z = 8;``    ``octant(x, y, z);``}` `// This code is contributed``// by Amber_Saxena.`

## Java

 `// Java program to print octant``// of a given point.``import` `java.util.*;` `class` `solution``{` `// Function to print octant``static` `void` `octant(``float` `x, ``float` `y,``                    ``float` `z)``{``    ``if` `(x >= ``0` `&& y >= ``0` `&& z >= ``0``)``        ``System.out.println(``"Point lies in 1st octant"``);``        ` `    ``else` `if` `(x < ``0` `&& y >= ``0` `&& z >= ``0``)``        ``System.out.println(``"Point lies in 2nd octant"``);``        ` `    ``else` `if` `(x < ``0` `&& y < ``0` `&& z >= ``0``)``    ``System.out.println(``"Point lies in 3rd octant"``);``        ` `    ``else` `if` `(x >= ``0` `&& y < ``0` `&& z >= ``0``)``        ``System.out.println(``"Point lies in 4th octant"``);``        ` `    ``else` `if` `(x >= ``0` `&& y >= ``0` `&& z < ``0``)``        ``System.out.println(``"Point lies in 5th octant"``);``        ` `    ``else` `if` `(x < ``0` `&& y >= ``0` `&& z < ``0``)``        ``System.out.println(``"Point lies in 6th octant"``);``        ` `    ``else` `if` `(x < ``0` `&& y < ``0` `&& z < ``0``)``        ``System.out.println(``"Point lies in 7th octant"``);``        ` `    ``else` `if` `(x >= ``0` `&& y < ``0` `&& z < ``0``)``    ``System.out.println(``"Point lies in 8th octant"``);``}` `// Driver Code``public` `static` `void` `main(String args[])``{``    ``float` `x = ``2``, y = ``3``, z = ``4``;``    ``octant(x, y, z) ;` `    ``x = -``4``; y = ``2``; z = -``8``;``    ``octant(x, y, z);` `    ``x = -``6``; y = -``2``; z = ``8``;``    ``octant(x, y, z);` `}``}``//This code is contributed by Surendra_Gangwar`

## Python

 `# Python program to print octant of a``# given point.` `# Function to print octant``def` `octant(x, y, z):``    ` `    ``if` `x >``=` `0` `and` `y >``=` `0` `and` `z >``=` `0``:``        ``print` `"Point lies in 1st octant"``        ` `    ``elif` `x < ``0` `and` `y >``=` `0` `and` `z >``=` `0``:``        ``print` `"Point lies in 2nd octant"``        ` `    ``elif` `x < ``0` `and` `y < ``0` `and` `z >``=` `0``:``        ``print` `"Point lies in 3rd octant"``        ` `    ``elif` `x >``=` `0` `and` `y < ``0` `and` `z >``=` `0``:``        ``print` `"Point lies in 4th octant"``        ` `    ``elif` `x >``=` `0` `and` `y >``=` `0` `and` `z < ``0``:``        ``print` `"Point lies in 5th octant"``        ` `    ``elif` `x < ``0` `and` `y >``=` `0` `and` `z < ``0``:``        ``print` `"Point lies in 6th octant"``        ` `    ``elif` `x < ``0` `and` `y < ``0` `and` `z < ``0``:``        ``print` `"Point lies in 7th octant"``        ` `    ``elif` `x >``=` `0` `and` `y < ``0` `and` `z < ``0``:``        ``print` `"Point lies in 8th octant"``            `  `# Driver Code``x, y, z ``=` `2``, ``3``, ``4``octant(x, y, z)` `x, y, z ``=` `-``4``, ``2``, ``-``8``octant(x, y, z)` `x, y, z ``=` `-``6``, ``-``2``, ``8``octant(x, y, z)`

## C#

 `// C# program to print octant``// of a given point.``using` `System;` `class` `GFG``{``    ` `// Function to print octant``static` `void` `octant(``float` `x, ``float` `y,``                   ``float` `z)``{``    ``if` `(x >= 0 && y >= 0 && z >= 0)``        ``Console.WriteLine(``"Point lies in 1st octant"``);``        ` `    ``else` `if` `(x < 0 && y >= 0 && z >= 0)``        ``Console.WriteLine(``"Point lies in 2nd octant"``);``        ` `    ``else` `if` `(x < 0 && y < 0 && z >= 0)``        ``Console.WriteLine(``"Point lies in 3rd octant"``);``        ` `    ``else` `if` `(x >= 0 && y < 0 && z >= 0)``        ``Console.WriteLine(``"Point lies in 4th octant"``);``        ` `    ``else` `if` `(x >= 0 && y >= 0 && z < 0)``        ``Console.WriteLine(``"Point lies in 5th octant"``);``        ` `    ``else` `if` `(x < 0 && y >= 0 && z < 0)``        ``Console.WriteLine(``"Point lies in 6th octant"``);``        ` `    ``else` `if` `(x < 0 && y < 0 && z < 0)``        ``Console.WriteLine(``"Point lies in 7th octant"``);``        ` `    ``else` `if` `(x >= 0 && y < 0 && z < 0)``    ``Console.WriteLine(``"Point lies in 8th octant"``);``}` `// Driver Code``static` `public` `void` `Main ()``{``    ``float` `x = 2, y = 3, z = 4;``    ``octant(x, y, z) ;` `    ``x = -4; y = 2; z = -8;``    ``octant(x, y, z);``    ` `    ``x = -6; y = -2; z = 8;``    ``octant(x, y, z);``}``}` `// This code is contributed by ajit`

## PHP

 `= 0 && ``\$y` `>= 0 && ``\$z` `>= 0)``        ``echo` `"Point lies in 1st octant\n"``;``         ` `    ``else` `if` `(``\$x` `< 0 && ``\$y` `>= 0 && ``\$z` `>= 0)``        ``echo` `"Point lies in 2nd octant\n"``;``         ` `    ``else` `if` `(``\$x` `< 0 && ``\$y` `< 0 && ``\$z` `>= 0)``        ``echo` `"Point lies in 3rd octant\n"``;``         ` `    ``else` `if` `(``\$x` `>= 0 && ``\$y` `< 0 && ``\$z` `>= 0)``        ``echo` `"Point lies in 4th octant\n"``;``         ` `    ``else` `if` `(``\$x` `>= 0 && ``\$y` `>= 0 && ``\$z` `< 0)``        ``echo` `"Point lies in 5th octant\n"``;``         ` `    ``else` `if` `(``\$x` `< 0 && ``\$y` `>= 0 && ``\$z` `< 0)``        ``echo` `"Point lies in 6th octant\n"``;``         ` `    ``else` `if` `(``\$x` `< 0 && ``\$y` `< 0 && ``\$z` `< 0)``        ``echo` `"Point lies in 7th octant\n"``;``         ` `    ``else` `if` `(``\$x` `>= 0 && ``\$y` `< 0 && ``\$z` `< 0)``        ``echo` `"Point lies in 8th octant\n"``;``}``  ` `// Driver Code``\$x` `= 2;``\$y` `= 3;``\$z` `= 4;``octant(``\$x``, ``\$y``, ``\$z``) ;`` ` `\$x` `= -4;``\$y` `= 2;``\$z` `= -8;``octant(``\$x``, ``\$y``, ``\$z``);`` ` `\$x` `= -6;``\$y` `= -2;``\$z` `= 8;``octant(``\$x``, ``\$y``, ``\$z``);``  ` `// This code is contributed``// by Amber_Saxena.``?>`

## Javascript

 ``

Output:

```Point lies in 1st octant
Point lies in 6th octant
Point lies in 3rd octant```

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