cga/fromcrackpot.kintsugi.cga.d2.queries.measures

Package-level declarations

The measure tier: scalar Euclidean measurements answered raw — distances as non-negative Doubles, angles as signed Angles.

Pairing	Result
`FlatPoint distanceTo FlatPoint` `RoundPoint distanceTo RoundPoint` `FlatPoint distanceTo RoundPoint` `RoundPoint distanceTo FlatPoint`	the raw distance between the positions
`FlatPoint distanceTo Line` `RoundPoint distanceTo Line`	the raw perpendicular distance to the line
`Line angleTo Line`	the raw signed angle turning the first direction onto the second

The family contract:

Distances are absolute. A distance is non-negative; the signed sidedness of a point against a line keeps its one spelling in the dot family (point dot line).
Angles are signed and orientation-sensitive. Counter-clockwise positive in (−π, π]; reversing either line's orientation offsets the answer by a half turn.
Positions only. A sized or imaginary round point measures from its position — the conformal component takes no part. Circles and dipoles have no pairing here: a scalar against a genuinely round object is a conformal measurement, not a Euclidean one, and lives in the dot family.
Raw everywhere. No SCALE rounding anywhere in the family — measures are values, not decisions.
Finite operands. An operand at infinity has no Euclidean reading and the answer degenerates; gate with the isAtInfinity predicates.

Functions

infix fun Line.angleTo(other: Line): Angle

Line angleTo Line => Angle
Returns the signed angle turning this line's direction onto other's — counter-clockwise positive, in (−π, π].

FlatPoint distanceTo FlatPoint => Double
Returns the raw Euclidean distance between the two points.

FlatPoint distanceTo Line => Double
Returns the raw perpendicular distance from the point to the line.

FlatPoint distanceTo RoundPoint => Double
Returns the raw Euclidean distance between the flat point and the round point's position.

RoundPoint distanceTo FlatPoint => Double
Returns the raw Euclidean distance between the round point's position and the flat point.

RoundPoint distanceTo Line => Double
Returns the raw perpendicular distance from the point's position to the line.

RoundPoint distanceTo RoundPoint => Double
Returns the raw Euclidean distance between the two points' positions.