Crate linear_isomorphic

Set of traits to abstract over linear algebra types.

Provides an abstraction over vector-like types. This makes it easier to implement generic math algorithms.

Example

use linear_isomorphic::*;

pub fn point_segment_distance<Vec>(start: &Vec, end: &Vec, point: &Vec) -> f32
where
    Vec: VectorLike<Scalar = f32>,
{
    let dir = *end - *start;
    let t = (*point - *start).dot(&dir) / dir.norm_squared();

    let t = t.clamp(0.0, 1.0);

    let closest = *start + dir * t;

    (closest - *point).norm()
}

Traits

• LinAlg
  Trait representing a type isomorphic to a lin alg vector in the most basic sense. That is, it supports addition and scalar multiplication. Useful to write functions that work on arithmetic types.
• ScalarLike
  Trait representing a type which can be multiplied by, i.e. a scalar.
• VectorLike
  Extension of the LinAlg trait. It also demands that the type is indexable and can be default initialized (default initialization is assumed to be equivalent to the 0 vector). Additionally, provides methods common to vectors.