Chris Angelico wrote:
I'm not sure there's any distinction between a "point" and a "vector
from the origin to a point".

They transform differently. For example, translation affects
a point, but makes no difference to a vector.

There are two ways of dealing with that. One is to use vectors
to represent both and have two different operations, "transform
point" and "transform vector".

The other is to represent them using different types and have
one operation that does different things depending on the
type.

The advantage of the latter is that you can't accidentally
apply the wrong operation, e.g. transform_point on something
that's actually a vector.

(There's actually a third way -- use homogeneous coordinates
and represent points as (x, y, z, 1) and vectors as
(x, y, z, 0). But that's really a variation on the "different
types" idea.)

--
Greg
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