RSAGL.Math.Ray

Documentation

data Ray3D

Rays with endpoints and vectors.

Although a ray is isomorphic to a SurfaceVertex3D, it does not have the same behavior.

Constructors

Ray3D

Fields

ray_endpoint :: Point3D

ray_vector :: Vector3D

Instances

Read Ray3D

Show Ray3D

AffineTransformable Ray3D

projectRay :: RSdouble -> Ray3D -> Point3D

The parametric function of a ray. The parameter is measured as a proportion of the length of the vector. projectRay 0 is the endpoint of the ray. projectRay 1 is the endpoint offset by the ray's vector.

distanceAlong :: Ray3D -> Point3D -> RSdouble

The inverse operation to projectRay. This could also be understood as the height of the point above the plane defined by the ray.

angleFrom :: Ray3D -> Point3D -> Angle

The angle between vector of the ray and the vector from the endpoint of the ray to the specified point.

normalizeRay :: Ray3D -> Ray3D

A ray normalize to a length of 1.