**Comparing Doubles in Programming**When programming, it's often necessary to compare two double-precision floating-point numbers (doubles) to check how close they are to each other. In this task, you will write a program that compares two such doubles and a third double which represents a difference threshold, known as epsilon. The program should output one of the following three phrases based on the comparison:- **Output "equal"** if the doubles are within 0.001 (exclusively) of each other.- **Output "close enough"** if the doubles are within epsilon (exclusively) of each other.- **Output "not close"** if the doubles are not within epsilon.Here's how you can structurally approach this problem in your code:1. **Input the doubles and epsilon**: Begin by accepting or defining the two doubles you want to compare, and also define the epsilon value.2. **Calculate the absolute difference**: Find the absolute difference between the two doubles.3. **Comparison logic**: - If the absolute difference is less than 0.001, output "equal". - If the difference is not less than 0.001 but less than epsilon, output "close enough". - If the difference is greater than or equal to epsilon, output "not close".This structure ensures clear, readable, and efficient code that checks the doubles' proximity accurately.By practicing this comparison operation, you solidify the understanding of precision and tolerance levels in floating-point arithmetic, a crucial skill in various fields of programming, especially those involving scientific computations and data analysis.

As no programming language is mentioned I am assuming it to be C++, The source code, implementation…

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Write a program that is given two doubles for three phrases: output "equal" if the doubles are within C

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

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Concept explainers

Bare bones programming language

Bare bones programming language is a low-level programming language that gives a detailed stepwise description of a program. It has a tight program design and in-depth understanding of the toolchain. It is based on the target environment and is used for safe coding practices. C programming language is a type of bare bones programming language.

Question

**Comparing Doubles in Programming**

When programming, it's often necessary to compare two double-precision floating-point numbers (doubles) to check how close they are to each other. In this task, you will write a program that compares two such doubles and a third double which represents a difference threshold, known as epsilon. The program should output one of the following three phrases based on the comparison:

- **Output "equal"** if the doubles are within 0.001 (exclusively) of each other.
- **Output "close enough"** if the doubles are within epsilon (exclusively) of each other.
- **Output "not close"** if the doubles are not within epsilon.

Here's how you can structurally approach this problem in your code:

1. **Input the doubles and epsilon**: Begin by accepting or defining the two doubles you want to compare, and also define the epsilon value.
2. **Calculate the absolute difference**: Find the absolute difference between the two doubles.
3. **Comparison logic**:
- If the absolute difference is less than 0.001, output "equal".
- If the difference is not less than 0.001 but less than epsilon, output "close enough".
- If the difference is greater than or equal to epsilon, output "not close".

This structure ensures clear, readable, and efficient code that checks the doubles' proximity accurately.

By practicing this comparison operation, you solidify the understanding of precision and tolerance levels in floating-point arithmetic, a crucial skill in various fields of programming, especially those involving scientific computations and data analysis.

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