dimforge/nalgebra

★ 4,715RustAudience · developerComplexity · 4/5Setup · moderate

Mindmap

mindmap
  root((nalgebra))
    What it does
      Vector and matrix math
      3D rotation support
      Solve linear equations
      Matrix decomposition
    Tech stack
      Rust language
      Compile-time checks
      Fixed and dynamic sizes
    Use cases
      Game engines
      Robotics frameworks
      Scientific computing
      Graphics programming
    Audience
      Rust developers
      Physics sim builders
      ML engineers

mindmap root((nalgebra)) What it does Vector and matrix math 3D rotation support Solve linear equations Matrix decomposition Tech stack Rust language Compile-time checks Fixed and dynamic sizes Use cases Game engines Robotics frameworks Scientific computing Graphics programming Audience Rust developers Physics sim builders ML engineers

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Things people build with this

USE CASE 1

Build a 3D game engine in Rust that needs accurate physics and coordinate transforms.

USE CASE 2

Write a robotics control program that calculates positions and orientations in 3D space.

USE CASE 3

Perform scientific computing tasks like solving systems of equations or matrix factorization.

USE CASE 4

Create graphics rendering code that transforms and projects points into screen coordinates.

Tech stack

RustLinear AlgebraQuaternionsLU/QR/SVD/Cholesky

Getting it running

Difficulty · moderate Time to first run · 30min

Add nalgebra to your Cargo.toml dependencies. No external C libraries required, pure Rust. Pick the features you need in Cargo.toml feature flags.

License not specified in the explanation.

In plain English

nalgebra is a linear algebra library for the Rust programming language. Linear algebra is a branch of mathematics that deals with vectors and matrices, which are organized grids of numbers. These structures are used throughout computer graphics, physics simulations, robotics, and machine learning, anywhere a program needs to represent spatial coordinates, transformations, or large sets of numerical data in a structured way. The library is published as a Rust crate, which is the standard unit of shareable code in the Rust ecosystem. Developers add it to their projects by listing it as a dependency, and then use it to create and manipulate vectors, matrices, and related mathematical objects directly in their code. It is designed to work within Rust's strict type system, which means many errors that would otherwise appear at runtime can be caught at compile time. The repository description is brief: a linear algebra library for Rust. The listed topics are algebra, linear-algebra, matrix, and vector, which confirms the scope. The README itself is minimal, consisting mainly of badges and links to the project website and API documentation, where full usage examples and reference material live. The library is maintained by dimforge, an organization that also develops physics simulation libraries in Rust. It is available under the Apache 2.0 license, which allows use in both commercial and open-source projects. A Discord server is linked for community discussion. Because the README in this repository is a short pointer to external documentation, specific details about supported operations and types are not available here. Readers wanting usage examples should consult the linked user guide at nalgebra.rs.

Copy-paste prompts

Prompt 1

Using the nalgebra Rust crate, show me how to multiply two 4x4 matrices and apply the result as a transformation to a 3D point.

Prompt 2

With nalgebra in Rust, how do I represent a 3D rotation using a quaternion and convert it to a rotation matrix?

Prompt 3

Show me how to solve a system of linear equations in Rust using nalgebra's LU decomposition.

Prompt 4

Using nalgebra, how do I create a perspective projection matrix for a 3D scene in Rust?

Prompt 5

How do I use nalgebra's SVD to find the least-squares solution to an overdetermined system in Rust?

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