nalgebra/src/lib.rs

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/*!
# nalgebra
[![Build Status](https://travis-ci.org/sebcrozet/nalgebra.png?branch=master)](https://travis-ci.org/sebcrozet/nalgebra)
**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.
An on-line version of this documentation is available [here](http://www.rust-ci.org/sebcrozet/nalgebra/doc/nalgebra/index.html).
## Using **nalgebra**
All the functionalities of **nalgebra** are grouped in one place: the `na` module.
Api change: deal with inplace/out of place methods. Before, it was too easy to use an out of place method instead of the inplace one since they name were pretty mutch the same. This kind of confusion may lead to silly bugs very hard to understand. Thus the following changes have been made when a method is available both inplace and out-of-place: * inplace version keep a short name. * out-of-place version are suffixed by `_cpy` (meaning `copy`), and are static methods. Methods applying transformations (rotation, translation or general transform) are now prefixed by `append`, and a `prepend` version is available too. Also, free functions doing in-place modifications dont really make sense. They have been removed. Here are the naming changes: * `invert` -> `inv` * `inverted` -> `Inv::inv_cpy` * `transpose` -> `transpose` * `transposed` -> `Transpose::transpose_cpy` * `transform_by` -> `append_transformation` * `transformed` -> `Transform::append_transformation_cpy` * `rotate_by` -> `apppend_rotation` * `rotated` -> `Rotation::append_rotation_cpy` * `translate_by` -> `apppend_translation` * `translate` -> `Translation::append_translation_cpy` * `normalized` -> `Norm::normalize_cpy` * `rotated_wrt_point` -> `RotationWithTranslation::append_rotation_wrt_point_cpy` * `rotated_wrt_center` -> `RotationWithTranslation::append_rotation_wrt_center_cpy` Note that using those static methods is very verbose, and using in-place methods require an explicit import of the related trait. This is a way to convince the user to use free functions most of the time.
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This module re-exports everything and includes free functions for all traits methods doing
out-of-place modifications.
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* You can import the whole prelude using:
```.ignore
use nalgebra::na::*;
```
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The preferred way to use **nalgebra** is to import types and traits explicitly, and call
Api change: deal with inplace/out of place methods. Before, it was too easy to use an out of place method instead of the inplace one since they name were pretty mutch the same. This kind of confusion may lead to silly bugs very hard to understand. Thus the following changes have been made when a method is available both inplace and out-of-place: * inplace version keep a short name. * out-of-place version are suffixed by `_cpy` (meaning `copy`), and are static methods. Methods applying transformations (rotation, translation or general transform) are now prefixed by `append`, and a `prepend` version is available too. Also, free functions doing in-place modifications dont really make sense. They have been removed. Here are the naming changes: * `invert` -> `inv` * `inverted` -> `Inv::inv_cpy` * `transpose` -> `transpose` * `transposed` -> `Transpose::transpose_cpy` * `transform_by` -> `append_transformation` * `transformed` -> `Transform::append_transformation_cpy` * `rotate_by` -> `apppend_rotation` * `rotated` -> `Rotation::append_rotation_cpy` * `translate_by` -> `apppend_translation` * `translate` -> `Translation::append_translation_cpy` * `normalized` -> `Norm::normalize_cpy` * `rotated_wrt_point` -> `RotationWithTranslation::append_rotation_wrt_point_cpy` * `rotated_wrt_center` -> `RotationWithTranslation::append_rotation_wrt_center_cpy` Note that using those static methods is very verbose, and using in-place methods require an explicit import of the related trait. This is a way to convince the user to use free functions most of the time.
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free-functions using the `na::` prefix:
```.rust
extern crate nalgebra;
use nalgebra::na::{Vec3, Rot3, Rotation};
Api change: deal with inplace/out of place methods. Before, it was too easy to use an out of place method instead of the inplace one since they name were pretty mutch the same. This kind of confusion may lead to silly bugs very hard to understand. Thus the following changes have been made when a method is available both inplace and out-of-place: * inplace version keep a short name. * out-of-place version are suffixed by `_cpy` (meaning `copy`), and are static methods. Methods applying transformations (rotation, translation or general transform) are now prefixed by `append`, and a `prepend` version is available too. Also, free functions doing in-place modifications dont really make sense. They have been removed. Here are the naming changes: * `invert` -> `inv` * `inverted` -> `Inv::inv_cpy` * `transpose` -> `transpose` * `transposed` -> `Transpose::transpose_cpy` * `transform_by` -> `append_transformation` * `transformed` -> `Transform::append_transformation_cpy` * `rotate_by` -> `apppend_rotation` * `rotated` -> `Rotation::append_rotation_cpy` * `translate_by` -> `apppend_translation` * `translate` -> `Translation::append_translation_cpy` * `normalized` -> `Norm::normalize_cpy` * `rotated_wrt_point` -> `RotationWithTranslation::append_rotation_wrt_point_cpy` * `rotated_wrt_center` -> `RotationWithTranslation::append_rotation_wrt_center_cpy` Note that using those static methods is very verbose, and using in-place methods require an explicit import of the related trait. This is a way to convince the user to use free functions most of the time.
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use nalgebra::na;
fn main() {
let a = Vec3::new(1.0f64, 1.0, 1.0);
let mut b = Rot3::new(na::zero());
Api change: deal with inplace/out of place methods. Before, it was too easy to use an out of place method instead of the inplace one since they name were pretty mutch the same. This kind of confusion may lead to silly bugs very hard to understand. Thus the following changes have been made when a method is available both inplace and out-of-place: * inplace version keep a short name. * out-of-place version are suffixed by `_cpy` (meaning `copy`), and are static methods. Methods applying transformations (rotation, translation or general transform) are now prefixed by `append`, and a `prepend` version is available too. Also, free functions doing in-place modifications dont really make sense. They have been removed. Here are the naming changes: * `invert` -> `inv` * `inverted` -> `Inv::inv_cpy` * `transpose` -> `transpose` * `transposed` -> `Transpose::transpose_cpy` * `transform_by` -> `append_transformation` * `transformed` -> `Transform::append_transformation_cpy` * `rotate_by` -> `apppend_rotation` * `rotated` -> `Rotation::append_rotation_cpy` * `translate_by` -> `apppend_translation` * `translate` -> `Translation::append_translation_cpy` * `normalized` -> `Norm::normalize_cpy` * `rotated_wrt_point` -> `RotationWithTranslation::append_rotation_wrt_point_cpy` * `rotated_wrt_center` -> `RotationWithTranslation::append_rotation_wrt_center_cpy` Note that using those static methods is very verbose, and using in-place methods require an explicit import of the related trait. This is a way to convince the user to use free functions most of the time.
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b.append_rotation(&a);
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assert!(na::approx_eq(&na::rotation(&b), &a));
Api change: deal with inplace/out of place methods. Before, it was too easy to use an out of place method instead of the inplace one since they name were pretty mutch the same. This kind of confusion may lead to silly bugs very hard to understand. Thus the following changes have been made when a method is available both inplace and out-of-place: * inplace version keep a short name. * out-of-place version are suffixed by `_cpy` (meaning `copy`), and are static methods. Methods applying transformations (rotation, translation or general transform) are now prefixed by `append`, and a `prepend` version is available too. Also, free functions doing in-place modifications dont really make sense. They have been removed. Here are the naming changes: * `invert` -> `inv` * `inverted` -> `Inv::inv_cpy` * `transpose` -> `transpose` * `transposed` -> `Transpose::transpose_cpy` * `transform_by` -> `append_transformation` * `transformed` -> `Transform::append_transformation_cpy` * `rotate_by` -> `apppend_rotation` * `rotated` -> `Rotation::append_rotation_cpy` * `translate_by` -> `apppend_translation` * `translate` -> `Translation::append_translation_cpy` * `normalized` -> `Norm::normalize_cpy` * `rotated_wrt_point` -> `RotationWithTranslation::append_rotation_wrt_point_cpy` * `rotated_wrt_center` -> `RotationWithTranslation::append_rotation_wrt_center_cpy` Note that using those static methods is very verbose, and using in-place methods require an explicit import of the related trait. This is a way to convince the user to use free functions most of the time.
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}
```
## 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:
* Vectors with static sizes: `Vec0`, `Vec1`, `Vec2`, `Vec3`, `Vec4`, `Vec5`, `Vec6`.
* Square matrices with static sizes: `Mat1`, `Mat2`, `Mat3`, `Mat4`, `Mat5`, `Mat6 `.
* Rotation matrices: `Rot2`, `Rot3`, `Rot4`.
* Isometries: `Iso2`, `Iso3`, `Iso4`.
* Dynamically sized vector: `DVec`.
* Dynamically sized (square or rectangular) matrix: `DMat`.
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* A few methods for data analysis: `Cov`, `Mean`.
* Almost one trait per functionality: useful for generic programming.
* Operator overloading using the double trait dispatch
[trick](http://smallcultfollowing.com/babysteps/blog/2012/10/04/refining-traits-slash-impls/).
For example, the following works:
```rust
extern crate nalgebra;
use nalgebra::na::{Vec3, Mat3};
use nalgebra::na;
fn main() {
let v: Vec3<f64> = na::zero();
let m: Mat3<f64> = na::one();
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.
```.ignore
git clone git://github.com/sebcrozet/nalgebra.git
cd nalgebra
make
```
You can build the documentation on the `doc` folder using:
```.ignore
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.
*/
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#![crate_id = "nalgebra#0.1"]
#![crate_type = "lib"]
#![deny(non_camel_case_types)]
#![deny(unnecessary_parens)]
#![deny(non_uppercase_statics)]
#![deny(unnecessary_qualification)]
#![deny(unused_result)]
#![warn(missing_doc)]
#![feature(macro_rules)]
#![doc(html_root_url = "http://www.rust-ci.org/sebcrozet/nalgebra/doc")]
extern crate std;
extern crate rand;
extern crate serialize;
#[cfg(test)]
extern crate test;
pub mod na;
mod structs;
mod traits;
mod linalg;
// mod lower_triangular;
// mod chol;
#[cfg(test)]
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mod tests {
mod vec;
mod mat;
}
#[cfg(test)]
mod bench {
mod vec;
mod mat;
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}