emel/math/geometry

centroid

pub fn centroid(points: List(List(Float))) -> List(Float)

The arithmetic mean position of the points.

Points = [
  [0.0, 0.0],
  [0.0, 1.0],
  [1.0, 0.0],
  [1.0, 1.0]
],
emel@math@geometry:centroid(Points).
% [0.5, 0.5]

dot_product

</>

pub fn dot_product(x: List(Float), y: List(Float)) -> Float

The sum of the products of the corresponding entries of x and y.

X = [1.0, 2.0, 3.0],
Y = [4.0, -5.0, 6.0],
emel@math@geometry:dot_product(X, Y).
% 12.0

euclidean_distance

</>

pub fn euclidean_distance(x: List(Float), y: List(Float)) -> Float

The ordinary straight-line distance between two points in Euclidean space.

X = [2.0, -1.0],
Y = [-2.0, 2.0],
emel@math@geometry:euclidean_distance(X, Y).
% 5.0

magnitude

</>

pub fn magnitude(vector: List(Float)) -> Float

The euclidean distance between the initial and the terminal point of the vector.

Vector = [6.0, 8.0],
emel@math@geometry:magnitude(Vector).
% 10.0

nearest_neighbor

</>

pub fn nearest_neighbor(point: List(Float), neighbors: List(
    List(Float),
  )) -> List(Float)

The neighbor that is closest to the given point.

Point = [0.9, 0.0],
Neighbors = [
  [0.0, 0.0],
  [0.0, 0.1],
  [1.0, 0.0],
  [1.0, 1.0]
],
emel@math@geometry:nearest_neighbor(Point, Neighbors).
% [1.0, 0.0]