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 [OpenGL Mathematics](http://glm.g-truc.net/) (*GLM*) is a header only C++ mathematics library for graphics software based on the [OpenGL Shading Language (GLSL) specifications](https://www.opengl.org/registry/doc/GLSLangSpec.4.50.diff.pdf). *GLM* provides classes and functions designed and implemented with the same naming conventions and functionality than *GLSL* so that anyone who knows *GLSL*, can use *GLM* as well in C++. This project isn't limited to *GLSL* features. An extension system, based on the *GLSL* extension conventions, provides extended capabilities: matrix transformations, quaternions, data packing, random numbers, noise, etc... This library works perfectly with *[OpenGL](https://www.opengl.org)* but it also ensures interoperability with other third party libraries and SDK. It is a good candidate for software rendering (raytracing / rasterisation), image processing, physics simulations and any development context that requires a simple and convenient mathematics library. *GLM* is written in C++98 but can take advantage of C++11 when supported by the compiler. It is a platform independent library with no dependence and it officially supports the following compilers: - [*GCC*](http://gcc.gnu.org/) 4.7 and higher - [*Intel C++ Compose*](https://software.intel.com/en-us/intel-compilers) XE 2013 and higher - [*Clang*](http://llvm.org/) 3.4 and higher - [*Apple Clang 6.0*](https://developer.apple.com/library/mac/documentation/CompilerTools/Conceptual/LLVMCompilerOverview/index.html) and higher - [*Visual C++*](http://www.visualstudio.com/) 2013 and higher - [*CUDA*](https://developer.nvidia.com/about-cuda) 9.0 and higher (experimental) - [*SYCL*](https://www.khronos.org/sycl/) (experimental: only [ComputeCpp](https://codeplay.com/products/computesuite/computecpp) implementation has been tested). - Any C++11 compiler For more information about *GLM*, please have a look at the [manual](manual.md) and the [API reference documentation](http://glm.g-truc.net/0.9.8/api/index.html). The source code and the documentation are licensed under either the [Happy Bunny License (Modified MIT) or the MIT License](manual.md#section0). Thanks for contributing to the project by [submitting pull requests](https://github.com/g-truc/glm/pulls). ```cpp #include <glm/vec3.hpp> // glm::vec3 #include <glm/vec4.hpp> // glm::vec4 #include <glm/mat4x4.hpp> // glm::mat4 #include <glm/ext/matrix_transform.hpp> // glm::translate, glm::rotate, glm::scale #include <glm/ext/matrix_clip_space.hpp> // glm::perspective #include <glm/ext/scalar_constants.hpp> // glm::pi glm::mat4 camera(float Translate, glm::vec2 const& Rotate) { glm::mat4 Projection = glm::perspective(glm::pi<float>() * 0.25f, 4.0f / 3.0f, 0.1f, 100.f); glm::mat4 View = glm::translate(glm::mat4(1.0f), glm::vec3(0.0f, 0.0f, -Translate)); View = glm::rotate(View, Rotate.y, glm::vec3(-1.0f, 0.0f, 0.0f)); View = glm::rotate(View, Rotate.x, glm::vec3(0.0f, 1.0f, 0.0f)); glm::mat4 Model = glm::scale(glm::mat4(1.0f), glm::vec3(0.5f)); return Projection * View * Model; } ``` ## [Lastest release](https://github.com/g-truc/glm/releases/latest) ## Project Health | Service | System | Compiler | Status | | ------- | ------ | -------- | ------ | | [Travis CI](https://travis-ci.org/g-truc/glm)| MacOSX, Linux 64 bits | Clang 3.6, Clang 5.0, GCC 4.9, GCC 7.3 | [](https://travis-ci.org/g-truc/glm) | [AppVeyor](https://ci.appveyor.com/project/Groovounet/glm)| Windows 32 and 64 | Visual Studio 2013, Visual Studio 2015, Visual Studio 2017 | [](https://ci.appveyor.com/project/Groovounet/glm) ## Release notes ### [GLM 0.9.9.9](https://github.com/g-truc/glm/releases/tag/0.9.9.9) - 2020-XX-XX #### Features: - Added *GLM_EXT_scalar_reciprocal* with tests - Added *GLM_EXT_vector_reciprocal* with tests - Added `glm::iround` and `glm::uround` to *GLM_EXT_scalar_common* and *GLM_EXT_vector_common* - Added *GLM_EXT_matrix_integer* with tests #### Improvements: - Added `constexpr` qualifier for `cross` product #1040 - Added `constexpr` qualifier for `dot` product #1040 #### Fixes: - Fixed incorrect assertion for `glm::min` and `glm::max` #1009 - Fixed quaternion orientation in `glm::decompose` #1012 - Fixed singularity in quaternion to euler angle roll conversion #1019 - Fixed `quat` `glm::pow` handling of small magnitude quaternions #1022 - Fixed `glm::fastNormalize` build error #1033 - Fixed `glm::isMultiple` build error #1034 - Fixed `glm::adjugate` calculation #1035 - Fixed `glm::angle` discards the sign of result for angles in range (2*pi-1, 2*pi) #1038 - Removed ban on using `glm::string_cast` with *CUDA* host code #1041 ### [GLM 0.9.9.8](https://github.com/g-truc/glm/releases/tag/0.9.9.8) - 2020-04-13 #### Features: - Added *GLM_EXT_vector_intX* and *GLM_EXT_vector_uintX* extensions - Added *GLM_EXT_matrix_intX* and *GLM_EXT_matrix_uintX* extensions #### Improvements: - Added `glm::clamp`, `glm::repeat`, `glm::mirrorClamp` and `glm::mirrorRepeat` function to `GLM_EXT_scalar_commond` and `GLM_EXT_vector_commond` extensions with tests #### Fixes: - Fixed unnecessary warnings from `matrix_projection.inl` #995 - Fixed quaternion `glm::slerp` overload which interpolates with extra spins #996 - Fixed for `glm::length` using arch64 #992 - Fixed singularity check for `glm::quatLookAt` #770 ### [GLM 0.9.9.7](https://github.com/g-truc/glm/releases/tag/0.9.9.7) - 2020-01-05 #### Improvements: - Improved *Neon* support with more functions optimized #950 - Added *CMake* *GLM* interface #963 - Added `glm::fma` implementation based on `std::fma` #969 - Added missing quat constexpr #955 - Added `GLM_FORCE_QUAT_DATA_WXYZ` to store quat data as w,x,y,z instead of x,y,z,w #983 #### Fixes: - Fixed equal *ULP* variation when using negative sign #965 - Fixed for intersection ray/plane and added related tests #953 - Fixed ARM 64bit detection #949 - Fixed *GLM_EXT_matrix_clip_space* warnings #980 - Fixed Wimplicit-int-float-conversion warnings with clang 10+ #986 - Fixed *GLM_EXT_matrix_clip_space* `perspectiveFov` ### [GLM 0.9.9.6](https://github.com/g-truc/glm/releases/tag/0.9.9.6) - 2019-09-08 #### Features: - Added *Neon* support #945 - Added *SYCL* support #914 - Added *GLM_EXT_scalar_integer* extension with power of two and multiple scalar functions - Added *GLM_EXT_vector_integer* extension with power of two and multiple vector functions #### Improvements: - Added *Visual C++ 2019* detection - Added *Visual C++ 2017* 15.8 and 15.9 detection - Added missing genType check for `glm::bitCount` and `glm::bitfieldReverse` #893 #### Fixes: - Fixed for g++6 where -std=c++1z sets __cplusplus to 201500 instead of 201402 #921 - Fixed hash hashes qua instead of tquat #919 - Fixed `.natvis` as structs renamed #915 - Fixed `glm::ldexp` and `glm::frexp` declaration #895 - Fixed missing const to quaternion conversion operators #890 - Fixed *GLM_EXT_scalar_ulp* and *GLM_EXT_vector_ulp* API coding style - Fixed quaternion componant order: `w, {x, y, z}` #916 - Fixed `GLM_HAS_CXX11_STL` broken on Clang with Linux #926 - Fixed *Clang* or *GCC* build due to wrong `GLM_HAS_IF_CONSTEXPR` definition #907 - Fixed *CUDA* 9 build #910 #### Deprecation: - Removed CMake install and uninstall scripts ### [GLM 0.9.9.5](https://github.com/g-truc/glm/releases/tag/0.9.9.5) - 2019-04-01 #### Fixes: - Fixed build errors when defining `GLM_ENABLE_EXPERIMENTAL` #884 #883 - Fixed `if constexpr` warning #887 - Fixed missing declarations for `glm::frexp` and `glm::ldexp` #886 ### [GLM 0.9.9.4](https://github.com/g-truc/glm/releases/tag/0.9.9.4) - 2019-03-19 #### Features: - Added `glm::mix` implementation for matrices in *GLM_EXT_matrix_common/ #842 - Added *CMake* `BUILD_SHARED_LIBS` and `BUILD_STATIC_LIBS` build options #871 #### Improvements: - Added GLM_FORCE_INTRINSICS to ena