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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, VS2019) x86, x64, and ARM64
  • Windows VS2019 with clang9 x86 and x64
  • Linux (gcc 5 to 10) x86 and x64
  • Linux (clang 4 to 11) x86 and x64
  • OS X (Xcode 10.3) x86 and x64
  • OS X (Xcode 11.2) x64
  • Android (NDK 21) ARMv7-A and ARM64
  • iOS (Xcode 10.3, 11.2) ARM64
  • Emscripten (1.39.11) WASM

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

Note: VS2017 and VS2019 compile with ARM64 on AppVeyor but I have no device to test them with.

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.


Thanks goes to these wonderful people (emoji key):


💻 📦 🚇

Malte Werschy

💻 📦

Yoann Potinet


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