G
Builds the flector reflecting across line and gliding glide units along it.
The transflection whose glide runs along the line's running direction (−gy, gx), so the sign of glide reads against the line's orientation: G(line, d) and G(-line, d) reflect identically — the orientation-blindness F documents — but glide oppositely. The versor representation's half coefficient stays inside the factory: the flector stores fw = glide/2 and the motion glides by exactly glide. There is no perpendicular offset to give — a mirror elsewhere is spelled as a shifted Line, never as an offset here. A line at infinity has no unitized mirror form, and no flector is built.
Return
The glide-reflection Flector.
Parameters
The mirror Line; its orientation fixes the glide's positive direction.
The glide distance along line's running direction; negative glides opposite.
Throws
when line is at infinity — its normal norm √(gx² + gy²) rounds to zero.