MongoDB $atanh Operator

24 - Views

4 mins

1 Comment

Photo Credit to CodeToFun

Introduction

In MongoDB's aggregation framework, the $atanh operator serves as a valuable tool for computing the inverse hyperbolic tangent of a given number. This operator is particularly useful in scenarios where you need to work with hyperbolic functions and perform advanced mathematical computations.

Let's delve into the details of how the $atanh operator functions within MongoDB's aggregation pipelines.

Syntax

The syntax for the $atanh method is straightforward:

syntax.js

Copied

{ $atanh: <expression> }

• $atanh: This operator signifies that the subsequent operation will compute the inverse hyperbolic tangent.
• <expression>: This represents the numerical expression for which the inverse hyperbolic tangent will be calculated. It could be a field reference, a mathematical expression, or a value.

Example

Input

Consider a collection named values containing documents with fields x representing numerical values. Here are sample documents from the values collection:

Input

Copied

[
  { "_id": ObjectId("609c26812e9274a86871bc6a"), "x": 0.5 },
  { "_id": ObjectId("609c26812e9274a86871bc6b"), "x": 0.7 },
  { "_id": ObjectId("609c26812e9274a86871bc6c"), "x": 0.9 }
]

Aggregation

Suppose we want to calculate the inverse hyperbolic tangent for each value of x. Here's how you can achieve this using the $atanh operator:

example.js

Copied

db.values.aggregate([
  {
    $project: {
      inverseTanh: { $atanh: "$x" }
    }
  }
])

Explanation

• $project: This stage reshapes documents, including or excluding fields, or computing new values based on existing ones.
• $atanh: Computes the inverse hyperbolic tangent of the specified field x.

When discussing how the above aggregation works:

• For x = 0.5, inverse hyperbolic tangent of 0.5 is approximately 0.5493.
• For x = 0.7, inverse hyperbolic tangent of 0.7 is approximately 0.8673.
• For x = 0.9, inverse hyperbolic tangent of 0.9 is approximately 1.4722.

Output

Now, let's take a look at the output generated by the aggregation pipeline:

Output

Copied

{ "_id": ObjectId("609c26812e9274a86871bc6a"), "inverseTanh": 0.549306144334055 }
{ "_id": ObjectId("609c26812e9274a86871bc6b"), "inverseTanh": 0.867300527694053 }
{ "_id": ObjectId("609c26812e9274a86871bc6c"), "inverseTanh": 1.47221948958322 }

Use Cases

1. Mathematical Computations:

   The $atanh operator facilitates complex mathematical computations involving hyperbolic functions, enabling advanced analyses and simulations.

2. Statistical Analysis:

   In statistical modeling or data analysis, the inverse hyperbolic tangent can be used to transform skewed data distributions or normalize data.

3. Machine Learning:

   In machine learning algorithms, hyperbolic functions and their inverses are utilized in various activation functions and optimization techniques.

Conclusion

The $atanh operator in MongoDB's aggregation framework provides a powerful mechanism for computing the inverse hyperbolic tangent within aggregation pipelines. Whether you're performing mathematical computations, statistical analyses, or machine learning tasks, mastering the usage of $atanh empowers you to efficiently manipulate numerical data and extract meaningful insights from your datasets.

With its intuitive syntax and diverse applications, the $atanh operator proves to be a valuable asset for handling numerical data effectively within MongoDB. Incorporate it into your aggregation pipelines to unlock new dimensions of data analysis and gain deeper insights into your datasets.

Join our Community:

To get interesting news and instant updates on Front-End, Back-End, CMS and other Frameworks. Please Join the Telegram Channel:

Telegram 450

Author

Hey, I'm Mari Selvan

For over eight years, I worked as a full-stack web developer. Now, I have chosen my profession as a full-time blogger at codetofun.com.

Buy me a coffee to make codetofun.com free for everyone.

Buy me a Coffee

Share Your Findings to All