Skip to content


Switch branches/tags

Name already in use

A tag already exists with the provided branch name. Many Git commands accept both tag and branch names, so creating this branch may cause unexpected behavior. Are you sure you want to create this branch?


Failed to load latest commit information.

CLA assistant All Contributors Build status Build status Sonar Status GitHub release GitHub license Conan Discord

Realtime Math

This library is geared towards realtime applications that require their math to be as fast as possible. Much care was taken to maximize inlining opportunities and for code generation to be optimal when a function isn't inlined by passing values in registers whenever possible. It contains 3D and 4D arithmetic commonly used in video games and realtime applications.

It offers an alternative to GLM and DirectX Math. See here for a comparison with similar libraries.


Much thought was put into designing the library for it to be as flexible and powerful as possible. To this end, the following decisions were made:

  • The library consists of 100% C++11 header files and is thus easy to integrate in any project
  • The interface follows C-style conventions to ensure optimal code generation
  • Both float32 and float64 arithmetic are supported
  • Row vectors are used
  • See here for more details

Supported platforms

  • Windows VS2015 x86 and x64
  • Windows (VS2017 to VS2022) x86, x64, and ARM64
  • Windows (VS2017 to VS2022) with clang x86 and x64
  • Linux (gcc 5 to 13) x86 and x64
  • Linux (clang 4 to 15) x86 and x64
  • OS X (Xcode 12.5, 13.2, 14.2) x64 and ARM64
  • Android (NDK 21) ARMv7-A and ARM64
  • iOS (Xcode 10.3, 11.7, 12.5, 13.2, 14.2) ARM64
  • Emscripten (1.39.11) WASM
  • MSYS2 x64

The above supported platform list is only what is tested every release but if it compiles, it should work just fine.

Getting started

This library is 100% headers as such you just need to include them in your own project to start using it. However, if you wish to run the unit tests or to contribute to RTM head on over to the getting started section in order to setup your environment and make sure to check out the contributing guidelines.

You can install rtm with Conan.

External dependencies

You don't need anything else to get started: everything is self contained. See here for details.

License, copyright, and code of conduct

This project uses the MIT license.

Copyright (c) 2018 Nicholas Frechette & Realtime Math contributors

This project was started from the math code found in the Animation Compression Library v1.1.0 and it retains the copyright of the original contributors.

Please note that this project is released with a Contributor Code of Conduct. By participating in this project you agree to abide by its terms.

Contributors ✨

Thanks goes to these wonderful people (emoji key):


πŸ’» πŸ“¦ πŸš‡
Malte Werschy
Malte Werschy

πŸ’» πŸ“¦
Yoann Potinet
Yoann Potinet

Pavel Iatchenii
Pavel Iatchenii

πŸ’» 🚧
Herman Semenov
Herman Semenov

Martin Valgur
Martin Valgur



This project follows the all-contributors specification. Contributions of any kind welcome!