2013-05-21 23:25:01 +08:00
|
|
|
/*!
|
2013-10-06 22:54:09 +08:00
|
|
|
# nalgebra
|
2013-05-21 23:25:01 +08:00
|
|
|
|
2013-10-06 22:54:09 +08:00
|
|
|
**nalgebra** is a linear algebra library written for Rust targeting:
|
|
|
|
|
|
|
|
* general-purpose linear algebra (still misses a lot of features…).
|
|
|
|
* real time computer graphics.
|
|
|
|
* real time computer physics.
|
|
|
|
|
2013-10-08 08:10:35 +08:00
|
|
|
An on-line version of this documentation is available [here](http://crozet.re/nalgebra/index.html).
|
|
|
|
|
2013-10-06 22:54:09 +08:00
|
|
|
## Using **nalgebra**
|
|
|
|
All the functionalities of **nalgebra** are grouped in one place: the `na` module.
|
2013-10-14 16:22:32 +08:00
|
|
|
This module re-exports everything and includes free functions for all traits methods doing
|
|
|
|
out-of-place modifications.
|
2013-10-06 22:54:09 +08:00
|
|
|
|
|
|
|
* You can import the whole prelude, including free functions, using:
|
|
|
|
|
|
|
|
```.rust
|
2013-10-07 01:36:59 +08:00
|
|
|
use nalgebra::na::*;
|
2013-10-06 22:54:09 +08:00
|
|
|
```
|
|
|
|
|
|
|
|
* If you dont want to import everything but only every trait:
|
|
|
|
|
|
|
|
```.rust
|
2013-10-07 01:36:59 +08:00
|
|
|
use nalgebra::traits::*;
|
2013-10-06 22:54:09 +08:00
|
|
|
```
|
|
|
|
|
|
|
|
* If you dont want to import everything but only every structure:
|
|
|
|
|
|
|
|
```.rust
|
2013-10-07 01:36:59 +08:00
|
|
|
use nalgebra::structs::*;
|
2013-10-06 22:54:09 +08:00
|
|
|
```
|
2013-10-14 16:22:32 +08:00
|
|
|
The preffered way to use **nalgebra** is to import types and traits explicitly, and call
|
|
|
|
free-functions using the `na::` prefix:
|
|
|
|
|
|
|
|
```.rust
|
|
|
|
extern mod nalgebra;
|
2013-10-14 17:22:38 +08:00
|
|
|
use nalgebra::na::{Vec3, Rot3, Rotation};
|
2013-10-14 16:22:32 +08:00
|
|
|
use nalgebra::na;
|
|
|
|
|
|
|
|
fn main() {
|
2013-10-14 17:22:38 +08:00
|
|
|
let a = Vec3::new(1.0f64, 1.0, 1.0);
|
|
|
|
let mut b = Rot3::new(na::zero());
|
2013-10-14 16:22:32 +08:00
|
|
|
|
|
|
|
b.append_rotation(&a);
|
|
|
|
|
|
|
|
assert!(na::rotation(&b).approx_eq(&a));
|
|
|
|
}
|
|
|
|
```
|
2013-10-06 22:54:09 +08:00
|
|
|
|
|
|
|
## Features
|
|
|
|
**nalgebra** is meant to be a general-purpose linear algebra library (but is very far from that…),
|
|
|
|
and keeps an optimized set of tools for computational graphics and physics. Those features include:
|
|
|
|
|
2013-10-08 07:22:56 +08:00
|
|
|
* Vectors with static sizes: `Vec0`, `Vec1`, `Vec2`, `Vec3`, `Vec4`, `Vec5`, `Vec6`.
|
|
|
|
* Square matrices with static sizes: `Mat1`, `Mat2`, `Mat3`, `Mat4`, `Mat5`, `Mat6 `.
|
2013-10-06 22:54:09 +08:00
|
|
|
* Rotation matrices: `Rot2`, `Rot3`, `Rot4`.
|
|
|
|
* Isometries: `Iso2`, `Iso3`, `Iso4`.
|
|
|
|
* Dynamically sized vector: `DVec`.
|
|
|
|
* Dynamically sized (square or rectangular) matrix: `DMat`.
|
2013-10-07 01:28:52 +08:00
|
|
|
* A few methods for data analysis: `Cov`, `Mean`.
|
2013-10-07 01:32:31 +08:00
|
|
|
* Almost one trait per functionality: useful for generic programming.
|
2013-10-06 22:54:09 +08:00
|
|
|
* Operator overloading using the double trait dispatch
|
|
|
|
[trick](http://smallcultfollowing.com/babysteps/blog/2012/10/04/refining-traits-slash-impls/).
|
2013-10-08 07:22:56 +08:00
|
|
|
For example, the following works:
|
2013-10-06 22:54:09 +08:00
|
|
|
|
|
|
|
```rust
|
|
|
|
extern mod nalgebra;
|
|
|
|
use nalgebra::na::{Vec3, Mat3};
|
2013-10-08 07:59:15 +08:00
|
|
|
use nalgebra::na;
|
2013-10-06 22:54:09 +08:00
|
|
|
|
|
|
|
fn main() {
|
2013-10-08 07:59:15 +08:00
|
|
|
let v: Vec3<f64> = na::zero();
|
|
|
|
let m: Mat3<f64> = na::one();
|
2013-10-06 22:54:09 +08:00
|
|
|
|
|
|
|
let _ = m * v; // matrix-vector multiplication.
|
|
|
|
let _ = v * m; // vector-matrix multiplication.
|
|
|
|
let _ = m * m; // matrix-matrix multiplication.
|
|
|
|
let _ = v * 2.0; // vector-scalar multiplication.
|
|
|
|
}
|
|
|
|
```
|
|
|
|
|
|
|
|
## Compilation
|
|
|
|
You will need the last rust compiler from the master branch.
|
|
|
|
If you encounter problems, make sure you have the last version before creating an issue.
|
|
|
|
|
|
|
|
git clone git://github.com/sebcrozet/nalgebra.git
|
|
|
|
cd nalgebra
|
|
|
|
make
|
|
|
|
|
|
|
|
You can build the documentation on the `doc` folder using:
|
|
|
|
|
|
|
|
```.rust
|
|
|
|
make doc
|
|
|
|
```
|
|
|
|
|
|
|
|
## **nalgebra** in use
|
|
|
|
Here are some projects using **nalgebra**.
|
|
|
|
Feel free to add your project to this list if you happen to use **nalgebra**!
|
|
|
|
|
|
|
|
* [nphysics](https://github.com/sebcrozet/nphysics): a real-time physics engine.
|
|
|
|
* [ncollide](https://github.com/sebcrozet/ncollide): a collision detection library.
|
|
|
|
* [kiss3d](https://github.com/sebcrozet/kiss3d): a minimalistic graphics engine.
|
|
|
|
* [frog](https://github.com/natal/frog): a machine learning library.
|
2013-05-21 23:25:01 +08:00
|
|
|
|
|
|
|
*/
|
2013-05-15 05:08:29 +08:00
|
|
|
#[link(name = "nalgebra"
|
Removed occurences of copy/Copy + improved api.
Now, access to vector components are x, y, z, w, a, b, ... instead of at[i].
The method at(i) has the same (read only) effect as the old at[i].
Now, access to matrix components are m11, m12, ... instead of mij[offset(i, j)]...
The method at((i, j)) has the same effect as the old mij[offset(i, j)].
Automatic implementation of all traits the compiler supports has been added on the #[deriving]
clause for both matrices and vectors.
2013-07-20 21:07:49 +08:00
|
|
|
, vers = "0.1"
|
2013-05-15 05:08:29 +08:00
|
|
|
, author = "Sébastien Crozet"
|
2013-09-22 16:58:21 +08:00
|
|
|
, uuid = "1e96070f-4778-4ec1-b080-bf69f7048216")];
|
2013-05-15 05:08:29 +08:00
|
|
|
#[crate_type = "lib"];
|
2013-07-24 22:50:40 +08:00
|
|
|
#[deny(non_camel_case_types)];
|
|
|
|
#[deny(non_uppercase_statics)];
|
|
|
|
#[deny(unnecessary_qualification)];
|
2013-10-17 03:44:33 +08:00
|
|
|
#[warn(missing_doc)];
|
2013-10-08 07:22:56 +08:00
|
|
|
#[feature(macro_rules)];
|
2013-05-15 05:08:29 +08:00
|
|
|
|
|
|
|
extern mod std;
|
Removed occurences of copy/Copy + improved api.
Now, access to vector components are x, y, z, w, a, b, ... instead of at[i].
The method at(i) has the same (read only) effect as the old at[i].
Now, access to matrix components are m11, m12, ... instead of mij[offset(i, j)]...
The method at((i, j)) has the same effect as the old mij[offset(i, j)].
Automatic implementation of all traits the compiler supports has been added on the #[deriving]
clause for both matrices and vectors.
2013-07-20 21:07:49 +08:00
|
|
|
extern mod extra;
|
2013-05-15 05:08:29 +08:00
|
|
|
|
2013-10-06 22:54:09 +08:00
|
|
|
pub mod na;
|
|
|
|
pub mod structs;
|
|
|
|
pub mod traits;
|
2013-05-15 05:08:29 +08:00
|
|
|
|
2013-09-22 16:58:21 +08:00
|
|
|
// mod lower_triangular;
|
|
|
|
// mod chol;
|
|
|
|
|
2013-05-21 23:25:01 +08:00
|
|
|
#[cfg(test)]
|
2013-09-13 16:34:49 +08:00
|
|
|
mod tests {
|
|
|
|
mod vec;
|
2013-09-22 16:58:21 +08:00
|
|
|
mod mat;
|
2013-09-13 19:21:42 +08:00
|
|
|
}
|
|
|
|
|
|
|
|
#[cfg(test)]
|
|
|
|
mod bench {
|
|
|
|
mod vec;
|
2013-09-22 16:58:21 +08:00
|
|
|
mod mat;
|
2013-05-19 01:04:03 +08:00
|
|
|
}
|