Conversion functions for Frame3d
.
toMat4 : Frame3d units coordinates defines -> Math.Matrix4.Mat4
Convert a Frame3d
to a Mat4
. The resulting matrix can be thought of in
a couple of ways:
The first bullet implies that something like
Frame3d.atOrigin
|> Frame3d.translateBy displacement
|> Frame3d.rotateAround axis angle
|> Frame3d.mirrorAcross plane
|> Frame3d.toMat4
gives you a transformation matrix that is equivalent to applying the given displacement, then the given rotation, then the given mirror. The second bullet means that, for example,
Point3d.placeIn frame
is equivalent to
Point3d.transformBy (Frame3d.toMat4 frame)
and
Point3d.relativeTo frame
is equivalent to
Point3d.transformBy <|
Matrix4.inverseOrthonormal
(Frame3d.toMat4 frame)