Crate lina[−][src]
Expand description
Yet another linear algebra library with a focus on computer graphics.
This library heavily uses const generics for vectors, points and matrices,
but still allows scalar access via .x, .y, .z and .w for small
vectors and points. While these three types are generic over their
dimension, some features are only implemented for small dimensions.
- Vectors and points with generic dimension (see
this explanation on why
linahas two vector-like types) - Matrices with generic dimensions
- Strongly typed angles:
DegreesandRadians - Commonly used transformations
- Spherical coordinates:
SphericalPosandNormedSphericalPos - Several helper functions:
atan2,clamp,lerp,slerp, … - Auxiliary documentation about topics like computer graphics, linear algebra, …
Note: currently lina requires a nightly compiler.
Modules
Auxiliary documentation about linear algebra and computer graphics.
Helper types and traits to access specific coordinates of vectors of points
by name (x, y, z and w).
Transformation matrices for common transformations.
Structs
An angle in degrees. A full rotation is 360°.
A C×R matrix with element type T (C many columns, R many rows).
Column-major memory layout.
A point on the boundary of a unit sphere described in spherical coordinates (without radius).
A point in N-dimensional space with scalar type T. It represents
a location in space.
An angle in radians. A full rotation is 2π rad.
A 3D point described in spherical coordinates (theta θ, phi φ, radius r).
An N-dimensional vector with scalar type T. This represents
a displacement in space.
Traits
Functions
Returns the angle between the two given vectors. Returns garbage if either vector has length 0.
The atan2 function.
Clamps val into the range min..=max.
Returns the cross product a ⨯ b, a vector perpendicular to both
input vectors.
Returns the dot product a · b, a scalar value.
Linearly interpolates between a and b with the given factor.
factor = 0 is 100% a, factor = 1 is 100% b.
Shorthand for Point2::new(...).
Shorthand for Point3::new(...).
Spherical linear interpolation between a and b with the given factor.
factor = 0 is 100% a, factor = 1 is 100% b.
Shorthand for Vec2::new(...).
Shorthand for Vec3::new(...).
Shorthand for Vec4::new(...).
Type Definitions
A 2×2 matrix.
A 2×2 matrix with f62 elements.
A 2×2 matrix with f32 elements.
A 3×3 matrix.
A 3×3 matrix with f63 elements.
A 3×3 matrix with f32 elements.
A 4×4 matrix.
A 4×4 matrix with f64 elements.
A 4×4 matrix with f32 elements.
A point in 2-dimensional space.
A point in 2-dimensional space with scalar type f64.
A point in 2-dimensional space with scalar type f32.
A point in 3-dimensional space.
A point in 3-dimensional space with scalar type f64.
A point in 3-dimensional space with scalar type f32.
A 2-dimensional vector.
A 2-dimensional vector with scalar type f64.
A 2-dimensional vector with scalar type f32.
A 3-dimensional vector.
A 3-dimensional vector with scalar type f64.
A 3-dimensional vector with scalar type f32.
A 4-dimensional vector.
A 4-dimensional vector with scalar type f64.
A 4-dimensional vector with scalar type f32.