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 octantInput: -4, 2, -8
Output: Point lies in 6th octantInput: -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 <bits/stdc++.h> #include<math.h>using namespace std;// Function to print octantvoid 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 <stdio.h>// Function to print octantvoid 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 Codeint 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 octantstatic 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 octantdef 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, 4octant(x, y, z) x, y, z = -4, 2, -8octant(x, y, z) x, y, z = -6, -2, 8octant(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
<?php // PHP program to print octant // of a given point. // Function to print octantfunction octant($x, $y, $z){ if ($x >= 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
<script>// Javascript program to print octant// of a given point.// Function to print octantfunction octant( x, y, z){ if (x >= 0 && y >= 0 && z >= 0) document.write("Point lies in 1st octant"+"</br>"); else if (x < 0 && y >= 0 && z >= 0) document.write( "Point lies in 2nd octant"+"</br>"); else if (x < 0 && y < 0 && z >= 0) document.write("Point lies in 3rd octant"+"</br>"); else if (x >= 0 && y < 0 && z >= 0) document.write("Point lies in 4th octant"+"</br>"); else if (x >= 0 && y >= 0 && z < 0) document.write("Point lies in 5th octant"+"</br>"); else if (x < 0 && y >= 0 && z < 0) document.write("Point lies in 6th octant"+"</br>"); else if (x < 0 && y < 0 && z < 0) document.write("Point lies in 7th octant"+"</br>"); else if (x >= 0 && y < 0 && z < 0) document.write("Point lies in 8th octant"+"</br>");} // driver code let 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 jana_sayantan. </script> |
Output:
Point lies in 1st octant Point lies in 6th octant Point lies in 3rd octant
Time complexity: O(1)
Auxiliary space: O(1)
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