Check if a point lies inside a rectangle | Set-2
Given coordinates of bottom-left and top-right corners of a rectangle. Check if a point (x, y) lies inside this rectangle or not.
Examples:
Input: bottom-left: (0, 0), top-right: (10, 8), point: (1, 5)
Output: Yes
Input: bottom-left: (-1, 4), top-right:(2, 3), point:(0, 4)
Output: No
This problem is already discussed in a previous post. In this post we have discussed a new approach.
Approach: The above problem can be solved by observation. A point lies inside or not the rectangle if and only if it’s x-coordinate lies between the x-coordinate of the given bottom-right and top-left coordinates of the rectangle and y-coordinate lies between the y-coordinate of the given bottom-right and top-left coordinates.
Below is the implementation of the above approach:
C++
// CPP program to Check if a// point lies on or inside a rectangle | Set-2#include <bits/stdc++.h>using namespace std;// function to find if given point// lies inside a given rectangle or not.bool FindPoint(int x1, int y1, int x2, int y2, int x, int y){ if (x > x1 and x < x2 and y > y1 and y < y2) return true; return false;}// Driver codeint main(){ // bottom-left and top-right // corners of rectangle int x1 = 0, y1 = 0, x2 = 10, y2 = 8; // given point int x = 1, y = 5; // function call if (FindPoint(x1, y1, x2, y2, x, y)) cout << "Yes"; else cout << "No"; return 0;} |
Java
// Java program to Check if// a point lies on or inside// a rectangle | Set-2class GFG{// function to find if given point// lies inside a given rectangle or not.static boolean FindPoint(int x1, int y1, int x2, int y2, int x, int y){if (x > x1 && x < x2 && y > y1 && y < y2) return true;return false;}// Driver codepublic static void main(String[] args){ // bottom-left and top-right // corners of rectangle int x1 = 0, y1 = 0, x2 = 10, y2 = 8; // given point int x = 1, y = 5; // function call if (FindPoint(x1, y1, x2, y2, x, y)) System.out.println("Yes"); else System.out.println("No");}}// This code is contributed// by ChitraNayal |
Python3
# Python3 program to Check# if a point lies on or# inside a rectangle | Set-2# function to find if# given point lies inside# a given rectangle or not.def FindPoint(x1, y1, x2, y2, x, y) : if (x > x1 and x < x2 and y > y1 and y < y2) : return True else : return False# Driver codeif __name__ == "__main__" : # bottom-left and top-right # corners of rectangle. # use multiple assigment x1 , y1 , x2 , y2 = 0, 0, 10, 8 # given point x, y = 1, 5 # function call if FindPoint(x1, y1, x2, y2, x, y) : print("Yes") else : print("No")# This code is contributed# by Ankit Rai |
C#
// C# program to Check if a// point lies on or inside// a rectangle | Set-2using System;class GFG{// function to find if given// point lies inside a given// rectangle or not.static bool FindPoint(int x1, int y1, int x2, int y2, int x, int y){if (x > x1 && x < x2 && y > y1 && y < y2) return true;return false;}// Driver codepublic static void Main(){ // bottom-left and top-right // corners of rectangle int x1 = 0, y1 = 0, x2 = 10, y2 = 8; // given point int x = 1, y = 5; // function call if (FindPoint(x1, y1, x2, y2, x, y)) Console.Write("Yes"); else Console.Write("No");}}// This code is contributed// by ChitraNayal |
PHP
<?php// PHP program to Check if// a point lies on or inside// a rectangle | Set-2// function to find if given// point lies inside a given// rectangle or not.function FindPoint($x1, $y1, $x2, $y2, $x, $y){ if ($x > $x1 and $x < $x2 and $y > $y1 and $y < $y2) return true; return false;}// Driver code// bottom-left and top-right// corners of rectangle$x1 = 0; $y1 = 0;$x2 = 10; $y2 = 8;// given point$x = 1; $y = 5;// function callif (FindPoint($x1, $y1, $x2, $y2, $x, $y)) echo "Yes";else echo "No";// This code is contributed// by Akanksha Rai(Abby_akku)?> |
Javascript
<script>// Javascript program to Check if a// point lies on or inside a rectangle | Set-2// function to find if given point// lies inside a given rectangle or not.function FindPoint(x1, y1, x2, y2, x, y){ if (x > x1 && x < x2 && y > y1 && y < y2) return true; return false;}// Driver code // bottom-left and top-right // corners of rectangle let x1 = 0, y1 = 0, x2 = 10, y2 = 8; // given point let x = 1, y = 5; // function call if (FindPoint(x1, y1, x2, y2, x, y)) document.write("Yes"); else document.write("No");// This code is contributed by Mayank Tyagi</script> |
Output:
Yes
