Check if a point lies on or inside a rectangle

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

Recommended: Please try your approach on {IDE} first, before moving on to the solution.

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 code 
int 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-2 
class 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 code 
public 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 code 
if __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-2 
using 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 code 
public 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 call 
if (FindPoint($x1, $y1, $x2, 
              $y2, $x, $y)) 
    echo "Yes"; 
else
    echo "No"; 
  
// This code is contributed 
// by Akanksha Rai(Abby_akku) 
?> 