Describe the problem including input and output in your own words.) Design: (Describe the major steps for solving the problem.) Coding: (Go over your code step by step) Testing: (Describe how you test this program). In other words run your code with sample outputs.

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
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(Describe the problem including input and output in your own words.)

Design:

(Describe the major steps for solving the problem.)

Coding: (Go over your code step by step)

Testing: (Describe how you test this program). In other words run your code with sample outputs.

 
Step 1

Analysis of the problem:

There is a rectangle with vertices a,b,c,d(let). The position of the vertices are :

a=(-5,2.5)

b=(-5,-2.5)

c=(5,-2.5)

d=(5,2.5)

The centre of the rectangle is (0,0). Now a point x,y would be given by the user and the program concludes whether the point x,y is within the rectangle or not.

The approach of the java code:

  1. Take the input of the 2D coordinates from the user.
  2. Check whether the horizontal distance is between -5 to 5 and the vertical distance is between -2.5 to 2.5.
  3. If the condition is true print the coordinate within the given rectangle.
  4. Otherwise print it is not in the rectangle.
import java.util.*; class Main{ public static void main(String [] args){ Scanner sc=new Scanner(System.in); // Taking the input of the points from the user System.out.print("Enter a point with two coordinates: "); // Declaring the x,y coordinates for the points double x=sc.nextDouble(); double y=sc.nextDouble(); //printing the position of the point System.out.print("Point("+x+","+y+") "); // checking if the given point is within the rectangle or not if(x>=-5 && x<=5 && y>=-2.5 && y<=2.5) System.out.print("is in the rectangle"); else System.out.print("is not in the rectangle"); } }

Step 2

The output of the program:

 

Here the point (2,2) is within the rectangle in terms of horizontal and vertical distances.

 

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