RoundPoint
Builds the round point (ax, ay, az, aw), unitized and zero-sanitized.
A round weight az that doesn't round to zero is divided out of every component. A weight that rounds to zero at the SCALE quantum leaves the point at infinity, all four components kept raw: the magnitude is data. Signed zeroes sanitize to +0.0.
Parameters
ax
The e1 component.
ay
The e2 component.
az
The e3 round weight; 0 places the point at infinity.
aw
The e4 conformal component; (ax² + ay²)/2 makes a plain Euclidean point.
Builds the Euclidean point (ax, ay) with its conformal lift.
The null lift aw = (ax² + ay²)/2 makes radius2 exactly zero — a plain point with no size.
Parameters
ax
The Euclidean x-coordinate.
ay
The Euclidean y-coordinate.