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1# glam
2
3[![Build Status]][github-ci] [![Coverage Status]][coveralls.io]
4[![Latest Version]][crates.io] [![docs]][docs.rs]
5[![Minimum Supported Rust Version]][Rust 1.58.1]
6
7A simple and fast 3D math library for games and graphics.
8
9## Development status
10
11`glam` is in beta stage. Base functionality has been implemented and the look
12and feel of the API has solidified.
13
14## Features
15
16* `f32` types
17  * vectors: `Vec2`, `Vec3`, `Vec3A` and `Vec4`
18  * square matrices: `Mat2`, `Mat3`, `Mat3A` and `Mat4`
19  * a quaternion type: `Quat`
20  * affine transformation types: `Affine2` and `Affine3A`
21* `f64` types
22  * vectors: `DVec2`, `DVec3` and `DVec4`
23  * square matrices: `DMat2`, `DMat3` and `DMat4`
24  * a quaternion type: `DQuat`
25  * affine transformation types: `DAffine2` and `DAffine3`
26* `i32` types
27  * vectors: `IVec2`, `IVec3` and `IVec4`
28* `u32` types
29  * vectors: `UVec2`, `UVec3` and `UVec4`
30* `bool` types
31  * vectors: `BVec2`, `BVec3` and `BVec4`
32
33### SIMD
34
35The `Vec3A`, `Vec4`, `Quat`, `Mat2`, `Mat3A`, `Mat4`, `Affine2` and `Affine3A`
36types use 128-bit wide SIMD vector types for storage on `x86`, `x86_64` and
37`wasm32` architectures.  As a result, these types are all 16 byte aligned and
38depending on the size of the type or the type's members, they may contain
39internal padding.  This results in some wasted space in the cases of `Vec3A`,
40`Mat3A`, `Affine2` and `Affine3A`.  However, the use of SIMD generally results
41in better performance than scalar math.
42
43`glam` outperforms similar Rust libraries for common operations as tested by the
44[`mathbench`][mathbench] project.
45
46[mathbench]: https://github.com/bitshifter/mathbench-rs
47
48### Enabling SIMD
49
50SIMD is supported on `x86`, `x86_64` and `wasm32` targets.
51
52* `SSE2` is enabled by default on `x86_64` targets.
53* To enable `SSE2` on `x86` targets add `-C target-feature=+sse2` to
54  `RUSTCFLAGS`.
55* To enable `simd128` on `wasm32` targets add `-C target-feature=+simd128` to
56  `RUSTFLAGS`.
57* Experimental [portable simd] support can be enabled with the `core-simd`
58  feature. This requires the nightly compiler as it is still unstable in Rust.
59
60Note that SIMD on `wasm32` passes tests but has not been benchmarked,
61performance may or may not be better than scalar math.
62
63[portable simd]: https://doc.rust-lang.org/core/simd/index.html
64
65### `no_std` support
66
67`no_std` support can be enabled by compiling with `--no-default-features` to
68disable `std` support and `--features libm` for math functions that are only
69defined in `std`. For example:
70
71```toml
72[dependencies]
73glam = { version = "0.23", default-features = false, features = ["libm"] }
74```
75
76To support both `std` and `no_std` builds in project, you can use the following
77in your `Cargo.toml`:
78
79```toml
80[features]
81default = ["std"]
82
83std = ["glam/std"]
84libm = ["glam/libm"]
85
86[dependencies]
87glam = { version = "0.23", default-features = false }
88```
89
90### Optional features
91
92* [`approx`] - traits and macros for approximate float comparisons
93* [`bytemuck`] - for casting into slices of bytes
94* [`libm`] - required to compile with `no_std`
95* [`mint`] - for interoperating with other 3D math libraries
96* [`num-traits`] - required to compile `no_std`, will be included when enabling
97  the `libm` feature
98* [`rand`] - implementations of `Distribution` trait for all `glam` types.
99* [`serde`] - implementations of `Serialize` and `Deserialize` for all `glam`
100  types. Note that serialization should work between builds of `glam` with and
101  without SIMD enabled
102* [`rkyv`] - implementations of `Archive`, `Serialize` and `Deserialize` for all
103  `glam` types. Note that serialization is not interoperable with and without the
104  `scalar-math` feature. It should work between all other builds of `glam`.
105  Endian conversion is currently not supported
106* [`bytecheck`] - to perform archive validation when using the `rkyv` feature
107
108[`approx`]: https://docs.rs/approx
109[`bytemuck`]: https://docs.rs/bytemuck
110[`libm`]: https://github.com/rust-lang/libm
111[`mint`]: https://github.com/kvark/mint
112[`num-traits`]: https://github.com/rust-num/num-traits
113[`rand`]: https://github.com/rust-random/rand
114[`serde`]: https://serde.rs
115[`rkyv`]: https://github.com/rkyv/rkyv
116[`bytecheck`]: https://github.com/rkyv/bytecheck
117
118### Feature gates
119
120* `scalar-math` - compiles with SIMD support disabled
121* `debug-glam-assert` - adds assertions in debug builds which check the validity
122  of parameters passed to `glam` to help catch runtime errors
123* `glam-assert` - adds validation assertions to all builds
124* `cuda` - forces `glam` types to match expected [cuda alignment]
125* `fast-math` - By default, glam attempts to provide bit-for-bit identical
126  results on all platforms. Using this feature will enable platform specific
127  optimizations that may not be identical to other platforms. **Intermediate
128  libraries should not use this feature and defer the decision to the final
129  binary build**.
130* `core-simd` - enables SIMD support via the [portable simd] module. This is an
131  unstable feature which requires a nightly Rust toolchain and `std` support.
132
133[cuda alignment]: https://docs.nvidia.com/cuda/cuda-c-programming-guide/index.html#built-in-vector-types
134
135### Minimum Supported Rust Version (MSRV)
136
137The minimum supported version of Rust for `glam` is `1.58.1`.
138
139## Conventions
140
141### Column vectors
142
143`glam` interprets vectors as column matrices (also known as "column vectors")
144meaning when transforming a vector with a matrix the matrix goes on the left,
145e.g. `v' = Mv`.  DirectX uses row vectors, OpenGL uses column vectors. There
146are pros and cons to both.
147
148### Column-major order
149
150Matrices are stored in column major format. Each column vector is stored in
151contiguous memory.
152
153### Co-ordinate system
154
155`glam` is co-ordinate system agnostic and intends to support both right-handed
156and left-handed conventions.
157
158## Design Philosophy
159
160The design of this library is guided by a desire for simplicity and good
161performance.
162
163* No generics and minimal traits in the public API for simplicity of usage
164* All dependencies are optional (e.g. `mint`, `rand` and `serde`)
165* Follows the [Rust API Guidelines] where possible
166* Aiming for 100% test [coverage]
167* Common functionality is benchmarked using [Criterion.rs]
168
169[Rust API Guidelines]: https://rust-lang-nursery.github.io/api-guidelines/
170[coverage]: coveralls.io
171[Criterion.rs]: https://bheisler.github.io/criterion.rs/book/index.html
172
173## Architecture
174
175See [ARCHITECTURE.md] for details on `glam`'s internals.
176
177[ARCHITECTURE.md]: ARCHITECTURE.md
178
179## Inspirations
180
181There were many inspirations for the interface and internals of glam from the
182Rust and C++ worlds. In particular:
183
184* [How to write a maths library in 2016] inspired the initial `Vec3A`
185  implementation
186* [Realtime Math] - header only C++11 with SSE and NEON SIMD intrinsic support
187* [DirectXMath] - header only SIMD C++ linear algebra library for use in games
188  and graphics apps
189* `glam` is a play on the name of the popular C++ library [GLM]
190
191[How to write a maths library in 2016]: http://www.codersnotes.com/notes/maths-lib-2016/
192[Realtime Math]: https://github.com/nfrechette/rtm
193[DirectXMath]: https://docs.microsoft.com/en-us/windows/desktop/dxmath/directxmath-portal
194[GLM]: https://glm.g-truc.net
195
196## License
197
198Licensed under either of
199
200* Apache License, Version 2.0 ([LICENSE-APACHE](LICENSE-APACHE)
201  or http://www.apache.org/licenses/LICENSE-2.0)
202* MIT license ([LICENSE-MIT](LICENSE-MIT)
203  or http://opensource.org/licenses/MIT)
204
205at your option.
206
207## Contribution
208
209Contributions in any form (issues, pull requests, etc.) to this project must
210adhere to Rust's [Code of Conduct].
211
212Unless you explicitly state otherwise, any contribution intentionally submitted
213for inclusion in the work by you, as defined in the Apache-2.0 license, shall be
214dual licensed as above, without any additional terms or conditions.
215
216Thank you to all of the `glam` [contributors]!
217
218[Code of Conduct]: https://www.rust-lang.org/en-US/conduct.html
219[contributors]: https://github.com/bitshifter/glam-rs/graphs/contributors
220
221## Support
222
223If you are interested in contributing or have a request or suggestion
224[start a discussion] on GitHub. See [CONTRIBUTING.md] for more information for
225contributors.
226
227The [Game Development in Rust Discord] and [Bevy Engine Discord] servers are
228not official support channels but can be good places to ask for help with
229`glam`.
230
231[start a discussion]: https://github.com/bitshifter/glam-rs/discussions
232[CONTRIBUTING.md]: CONTRIBUTING.md
233[Game Development in Rust Discord]: https://discord.gg/yNtPTb2
234[Bevy Engine Discord]: https://discord.gg/gMUk5Ph
235
236## Attribution
237
238`glam` contains code ported from the following C++ libraries:
239
240* [DirectXMath] - MIT License - Copyright (c) 2011-2020 Microsoft Corp
241* [Realtime Math] - MIT License - Copyright (c) 2018 Nicholas Frechette
242* [GLM] - MIT License - Copyright (c) 2005 - G-Truc Creation
243
244See [ATTRIBUTION.md] for details.
245
246[ATTRIBUTION.md]: ATTRIBUTION.md
247
248[Build Status]: https://github.com/bitshifter/glam-rs/actions/workflows/ci.yml/badge.svg
249[github-ci]: https://github.com/bitshifter/glam-rs/actions/workflows/ci.yml
250[Coverage Status]: https://coveralls.io/repos/github/bitshifter/glam-rs/badge.svg?branch=main
251[coveralls.io]: https://coveralls.io/github/bitshifter/glam-rs?branch=main
252[Latest Version]: https://img.shields.io/crates/v/glam.svg
253[crates.io]: https://crates.io/crates/glam/
254[docs]: https://docs.rs/glam/badge.svg
255[docs.rs]: https://docs.rs/glam/
256[Minimum Supported Rust Version]: https://img.shields.io/badge/Rust-1.58.1-blue?color=fc8d62&logo=rust
257[Rust 1.58.1]: https://github.com/rust-lang/rust/blob/master/RELEASES.md#version-1581-2022-01-19
258