Crate linbra

Easily do linear algebra in game development, graphics and other sort of calculations using vectors and matrices.

Every implementation, function or item is documented mathematically and for programming. Browses the items and their functions to learn how to use them!

Overview

• Objects:

Mathematics	Linbra	Related types
$$ \begin{pmatrix} x_{1,1} & x_{1,2} & \dots & x_{1,C} \\ x_{2,1} & x_{2,2} & \dots & x_{2,C} \\ \vdots & \vdots & \ddots & \vdots \\ x_{R,1} & x_{R,2} & \dots & x_{R,C} \\ \end{pmatrix} $$	Matrix<T, C, R>	Matrix2<T> Matrix3<T> Matrix4<T>
$$ \begin{pmatrix} a_{1} \\ a_{2} \\ \vdots \\ a_{n} \\ \end{pmatrix} $$	Vector<T, N>	Vector2<T> Vector3<T> Vector4<T>

• Tools:

Mathematics	Related traits	and their functions
$$ \begin{pmatrix} x \\ y \\ \end{pmatrix} or \begin{pmatrix} x \\ y \\ z \\ \end{pmatrix} $$	Point2<T> Point3<T>	::x() ::y() ::z()
$$ \begin{pmatrix} w \\ h \\ \end{pmatrix} or \begin{pmatrix} w \\ h \\ d \\ \end{pmatrix} $$	Size2<T> Size3<T>	::w() ::h() ::d()
$$ \begin{pmatrix} r \\ g \\ b \\ \end{pmatrix} or \begin{pmatrix} r \\ g \\ b \\ a \\ \end{pmatrix} $$	RGB<T> RGBA<T>	::r() ::g() ::b() ::a()

Modules

• colours
  Traits to retrieve the red, blue, green (and alpha) channels of colour vectors and the implements of these traits for vectors 3 and 4.
• matrix
  Matrix types and functions to perform calculations on matrices.
• points
  Traits to get x, y and z values of a 2d-point or a 3d-point, and constructors for these points.
• sizes
  Traits to get width, height and depths values of a 2d-objects or 3d-objects, and constructors for these sizes.
• vector
  Fixed-size vector and easy-types for different usually used vectors with into/from implementations on relevant primitives types.

Traits

• Num
  Common properties to all the number-primitive types.
• Zero
  Implements a function to get the zero-value of the type.