MongoDB $atanh Operator

Posted in mongoDB Tutorial

Updated on Oct 30, 2024

By Mari Selvan

👁️ 14 - 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

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{ $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

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[
  { "_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

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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

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

📚 Use Cases

Mathematical Computations:

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

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