A matrix whose first three columns are xprime, yprime, zprime: it sends the x, y and z axes to those vectors. The type defaults to Matrix4; pass Matrix3 as the last argument for that.
m := make_matrix_from_columns(xyz(0, 1, 0), xyz(1, 0, 0), xyz(0, 0, 1));
assert(m * xyzw(1, 0, 0, 1) == xyzw(0, 1, 0, 1));make_matrix_from_columns :: (
xprime: Vector3,
yprime: Vector3,
zprime: Vector3,
$T := Matrix4
) -> TA matrix whose upper-left 3x3 has the given vectors as its columns. The rest is the identity.
Parameters
- xprime: Vector3
- the first column.
- yprime: Vector3
- the second column.
- zprime: Vector3
- the third column.
- $T := Matrix4
- the matrix type to make.
Returns
- T