MongoDB $acosh Operator

Posted in mongoDB Tutorial

Updated on Oct 30, 2024

By Mari Selvan

👁️ 13 - Views

⏳ 4 mins

💬 1 Comment

Photo Credit to CodeToFun

🙋 Introduction

In MongoDB's aggregation framework, the $acosh operator serves as a powerful tool for computing the inverse hyperbolic cosine of a given number. This operator enables users to perform advanced mathematical computations on numerical data, particularly useful in scenarios involving exponential growth or decay.

Let's dive into the details of how the $acosh operator can be effectively utilized within MongoDB's aggregation pipelines.

💡 Syntax

The syntax for the $acosh method is straightforward:

syntax.js

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{ $acosh: <expression> }

$acosh: This operator signifies that the subsequent operation will compute the inverse hyperbolic cosine.
<expression>: This represents the numerical expression for which the inverse hyperbolic cosine 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": 1 },
  { "_id": ObjectId("609c26812e9274a86871bc6b"), "x": 2 },
  { "_id": ObjectId("609c26812e9274a86871bc6c"), "x": 3 }
]

🔄 Aggregation

Suppose we want to compute the inverse hyperbolic cosine for each value. Here's how you can achieve this using the $acosh operator:

example.js

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db.values.aggregate([
  {
    $project: {
      acoshValue: { $acosh: "$x" }
    }
  }
])

🧩 Explanation

$project: This stage reshapes documents by including or excluding fields. Here, we're adding a new field acoshValue.
$acosh: Computes the inverse hyperbolic cosine of the specified field (x).

When discussing how the above aggregation works:

For the document where x is 1, the acosh value is 0 because acosh(1) = 0.
For the document where x is 2, the acosh value is approximately 1.3169578969248166.
For the document where x is 3, the acosh value is approximately 1.762747174039086.

💻 Output

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

Output

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{ "_id": ObjectId("609c26812e9274a86871bc6a"), "acoshValue": 0 }
{ "_id": ObjectId("609c26812e9274a86871bc6b"), "acoshValue": 1.3169578969248166 }
{ "_id": ObjectId("609c26812e9274a86871bc6c"), "acoshValue": 1.762747174039086 }

📚 Use Cases

Growth Analysis:

The $acosh operator can be useful in analyzing exponential growth rates or modeling processes with logarithmic growth.
Financial Modeling:

In finance, the inverse hyperbolic cosine can be employed in various calculations, such as modeling interest rates or predicting asset values.
Statistical Analysis:

When dealing with skewed distributions or extreme values, the inverse hyperbolic cosine offers a valuable tool for normalization or transformation.

🎉 Conclusion

The $acosh operator in MongoDB's aggregation framework provides a versatile tool for computing the inverse hyperbolic cosine within aggregation pipelines. Whether you're analyzing growth patterns, modeling financial scenarios, or conducting statistical analyses, mastering the usage of $acosh empowers you to perform advanced mathematical computations and gain deeper insights into your data.

With its intuitive syntax and diverse applications, the $acosh 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 enhance your understanding of complex numerical relationships within your datasets.