Question

This is an entry to Java Question. Please answer with Pseudocode and Java code for better understanding.

We are mainly using basic in and out declarations and are focusing on API for method invocations. Any help would be very appreciated :)

Problem 7: Distance (10 points) Use API (Data Science) Data Science is an emergent field from Computer Science with applications in almost every domain including finances, medical research, entertainment, retail, advertising, and insurance. The role of a data analyst is to aggregate data points and make conclusions based on how that data clusters together. Fundamentally, this is how Pandora selects what song to play next, how Netflix determines what shows to recommend next, how Amazon chooses which products to promote together, how banks determine whether to issue a loan, and how hedge companies decide which stocks to invest into. One critical component that empowers data analysts to make such predictions is to determine how close or far two data points are in relation to one another. This is accomplished using Trigonometry, a field of study in mathematics which observes the relationships of the sides and angles of triangles. By mapping the data points onto a 2d chart, it is then possible to use the distance formula (pythagorean theorem) to calculate the geometric distance between these two points. Your task in this problem is to calculate the distance between two points.

Facts

● Distance formula: distance = √(x x ) 2 − 1 2 + (y y ) 2 − 1 2

● Java Math class contains sqrt and pow methods ○ https://docs.oracle.com/javase/10/docs/api/java/lang/Math.html

● Your solution should have a main method.

● Use Scanner for input & Use System.out for output!

Input The first line of input is the number of test cases. Each line afterwards contains four double values. The first two values represent the first point's coordinates as (x1 ,y1 ). The second set of values represent the second point's coordinates as (x2 ,y2 ).

Output Print the distance between the two points as a double type. Use System.out.println() on your result.

Sample Input

3

0 0 2 2

-1 -1 1 1

0 0 0.5 0.5

Sample Output

2.8284271247461903

2.8284271247461903

0.7071067811865476

Answer 1

Java Implementation

//import all the modules required
import java.util.*;
public class GeometricDistance {
   public static void main(String args[]) {
       //variable declarations
       double x1, x2 , y1, y2 ,first_term , second_term;
       //creating a scanner object to read the input from user
       Scanner sc = new Scanner(System.in);
       // reading the number of test cases from the user.
       int n =sc.nextInt();
       // creating an array to store distance values in the distance array.
       double[] distance = new double[n];
       //Running a for loop to take the input from the user and to calculate distance
       for(int i =0;i <n;i++) {
           //Reading the input from the user
           x1 = sc.nextDouble();
           y1 = sc.nextDouble();
           x2 = sc.nextDouble();
           y2 = sc.nextDouble();  
           //calculating the square terms first
           first_term = Math.pow((x1-x2),2);
           second_term = Math.pow((y1-y2),2);
           // calculating the square root of the sum of the aboce terms
           distance[i] = Math.sqrt((first_term+second_term));
           //storing the distance value in the array .
       }
       //running the for loop to display the distances
       for(int i=0;i<n;i++)
           //printing the distances
           System.out.println(distance[i]);
       //closing the scanner object.
       sc.close();
   }
}

Output: -