AREA's Object option reported a full ellipse's perimeter with
Ramanujan's closed-form estimate, which falls short as the ellipse
flattens: 46.0256 for a 10 x 4 ellipse (exactly 46.0262), 39.8741 for a
10 x 0.1 one (exactly 40.0110, 0.34% short). It now integrates the
perimeter with the geometry crate's ellipse arc length, the one LENGTHEN
measures with, so both report the same length for the same ellipse.
Ellipse::arc_length_from halves a panel where it needs it (the same
adaptive Gauss-Legendre as spline arc lengths): with fixed panels a
100:1 ellipse came out 4e-8 long, as it turns sharply at its ends.
Tests check four ellipses (round to 100:1) against the
arithmetic-geometric mean to 1e-9, and the printed AREA line.
Co-authored-by: Brandon Thomas <echelon@gmail.com>
Co-authored-by: Claude Opus 5.5 <noreply@anthropic.com>
AREA's Object option measures picked objects; Add area / Subtract area keep
a running "Total area" over areas measured by points or by object, and
Enter at the first-corner prompt ends the command. Length continues the
last segment by a typed length in AREA and DIST point sequences. DIST's
Multiple points measures a path and reports the running and total
distance. Arc now says it is not available yet instead of being ignored
(or ending AREA as Total).
Co-authored-by: Claude Opus 5.5 <noreply@anthropic.com>
