The inner corner of a 20 x 20 x 10 notch in the 60 x 40 x 20 box, three
concave r5 rounds with corner: g2: one valid body of 13 faces within the box,
the patch's twelve seams jumping at most 1e-3 per mm clear of the hole's six
corners (2.7e-4 measured; the ball corner jumps 0.2). The continuity check
looks within 11 mm of the corner: the vertical round, 2.5 mm long past its
setback, meets its faces 11.2 mm out with every round's G1 jump.
Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com>
expected.json `continuity`: over the tangent seams wholly within `within_mm`
of `near`, the curvature jump across them (exact surfaces, 65 stations a
seam) at most `curvature_jump_per_mm` clear (`clear_mm` along the seam) of the
vertices where two of them turn, where a neighbour's own G1 seam ends.
07/015, the box corner's three r5 rounds with corner: g2: one valid body of 10
faces within the box, its patch's twelve seams jumping at most 1e-3 per mm
clear of the hole's six corners by 1.2 mm (2.7e-4 measured; the ball corner
of 009 jumps 0.2). Its golden entry is the passing run's.
Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com>
The r7 on the vertical edge runs on (tangent chain) up the side's arc on the
r5 round, a circle of radius 5: its contact line on that face would be the arc
offset 7 towards its centre, so no such round exists and the right answer is
a clean refusal. 018 picks a radius that fits (r2: 11 faces, inside the box).
cases.py now writes 013 (the corner setback, graded by its convexity bounds)
instead of marking it missing; its tolerance is the interval's exact half
width.
Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com>
003 and 004 passed on one valid body alone. 003 is now the flange less
its M30 groove (stopped clear of the root round, run out through the
chamfer) and three M8 tap drills; 004 is 10/008 less the M16 groove on
the shelled boss, which cuts the wall only. With bboxes. Both hold on
SMLib (worst 1.4e-7 relative).
Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com>
It passed on one valid body alone. Each d3 vent goes through the shelled
top skin into the cavity and meets nothing else, so the case is 09/011
less 4 pi 1.5^2 1.5; with the bbox. Holds on SMLib (1e-6 relative).
Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com>
010, 011 and 014 passed on one valid body alone. 010 (top rounds in
mitres, shelled open below) and 014 (drafted box with tilted rounds:
every level section loses the same elliptic corner) now check closed-form
volumes, exact counts and bbox (014 also its centre of mass). 011, the
running part shelled 1.5, checks the part less its cavity built feature
by feature, the offset faces meeting sharp at concave edges as in the
rest of the tier (a distance-based offset would differ by 0.3%). All hold
on SMLib (worst 1e-6 relative).
Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com>
It passed on one valid body alone. It now checks the chamfer's prism, the
two r2 rounds below it and the columns they carry on up into the chamfer
face (the section's first moment), with exact counts and bbox. Holds on
SMLib (8e-9 relative).
Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com>
010, 011 and 012 passed on one valid body alone. 010 (r7 then an r3 chain
round its arc) and 011 (two r5 rounds in a mitre) now check closed-form
volumes, counts and bbox; 012's variable round takes only its edge and
runs on into the vertical round's column, so its volume is graded as the
interval between that end carried on as a constant r5 tube and as its
growing radius. All hold on SMLib (worst 4e-8 relative; 012 at the
growing-radius end).
Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com>
010 passed on one valid body alone: it now checks the tier-05 part less
the M16 groove (stopped w above the boss's shoulder, run out at its free
top) and the bbox. Two new cases with closed forms: 018, an M10 cut both
hands, whose crossing grooves leave the material fraction squared
(2 pi L int r m^2 dr, exact for L a whole number of pitches); 019, a
two-start Tr40x14(P7), six pitches of the Tr40x7 section. All hold on
SMLib (worst 2e-6 relative).
Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com>
07, 08, 09, 11 and 12 passed on one valid body alone. Each now checks
its volume, bbox and (where derived) counts, area and centre of mass:
the three-section loft is the degree-2 interpolant r = 10 + (z-20)^2/40;
the square-to-circle loft a ruled prismatoid, its mixed area from the
sides ruled to rational quarter arcs; the periodic fit spline the cyclic
C2 chord-length cubic; the pleated skins star polygons on fixed rays,
their crossing integrated exactly per wedge; the cap's union integrated
as y-intervals over x and z. All hold on SMLib (worst 9e-8 relative).
Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com>
The generator had fallen behind the tree: it no longer wrote 02/021-025,
03/010, 04/011-012 and 09/012-015, and its 07/016 lacked the second round's
tangent_chain. Each is now built in cases.py; the two reporters' scripts
(04/011, 04/012) are kept verbatim in reported.py. Regenerating reproduces
the tree exactly; the only file changes are the generator's own format
(volumes to 9 decimals, one-space indent, a final newline), all under 1e-8
relative.
Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com>
Ladder 06/009 had no way to ask for one: "solid.thread has no runout (vanishing thread)
length". With SMLib's smlib_screw_sweep_radial (replay e7acea1):
- smlib: the FFI binding and Brep::screw_sweep_radial, the profile moved off the axis by a
piecewise linear law of the turn; crate test: a tooth moved out 1 mm over three turns has
A 2π (c turns + ∫ offset dt).
- kernel: sweep_helix_radial, sharing sweep_helix's checks (helix_profile).
- doc: `ease_in`, `ease_out` (a length, or ISO 3508's standard 2.5 P or short 1.25 P) fade the
groove over that length, its section moving out of the material as it turns (outward for a
shaft, inward for a nut). ease_in is at the end the thread starts from. The runout lies past
the full-form length: beyond a square stop, before a shoulder up to its clearance; at a free
end inside the face. Runouts longer than the thread are refused. No end gets one by default,
so saved threads keep their geometry.
The cut is the integral over the turn of the clipped section's 2π∫ r dA: engine test (2.5 P
and 1.25 P between two collars) within the sweep's wall tolerance times the runouts' wall area
(0.029 against a 0.036 mm³ bound), ladder 06/009 (004's shaft, a 2 P runout before the
shoulder) graded in closed form (measured 1.7e-6 off).
Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com>
`tip: chamfer` cuts ISO 4753's chamfered end at each free end a modelled external thread
reaches, after the groove, so the last teeth taper into the cone instead of ending in a
ragged first turn: the material outside a cone `chamfer_angle` to the axis (default 45°)
reaching d_f = d - 2 `chamfer_depth` at the face's end (default the external minor diameter,
the largest the standard allows), a revolved ring cut by one boolean per end. Past the end the
ring keeps to the radii the groove's overrun already cuts. An internal thread is refused (its
entry takes the hole's countersink), as is a tip with no free end or on a cosmetic thread.
The cone is axisymmetric and cut after the screw-symmetric groove, so the volume is the stock's
chamfered section with the thread's material fraction: engine test (both ends 45°, and 30°
x 0.5 mm at a shaft's one free end above a collar) within 1e-4, ladder 06/017 (measured
2.4e-7 off).
Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com>
Ladder 06/008 had no way to ask for one: "solid.thread has no start count". `starts: n` (1 to
8) cuts n grooves of lead n x P, the j-th a j/n turn round from the first (the same helix j
pitches along), in one boolean with their union. A designation that gives the lead
(M16xPh3P1.5, Tr40x14(P7)) gives the starts, and a `starts` that disagrees is refused. The
helix's self-clearance check and the turn limit use the lead.
Over the same length n grooves of lead nP take the volume of one start of pitch P: engine test
(2 and 3 starts, M10xPh3P1.5) within 1e-4 of the closed form, ladder 06/008 graded as 001
(measured 3.5e-7 off).
Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com>
Only the ISO metric 60° thread existed. Forms now (crates/doc/src/thread_forms.rs, values and
sources in docs/threads.md): ISO metric (ISO 68-1), trapezoidal (ISO 2904 design profile, ISO
2902 sizes), general purpose Acme (ASME B1.5), metric buttress 3°/30° (DIN 513), buttress inch
7°/45° (ASME B1.9 basic profile). Each has its groove as a straight-flanked polygon, its standard
sizes (none for ASME buttress), its designations (M10, M16xPh3P1.5, Tr40x14(P7), S20x4,
1/2-10 ACME, 2.5-8 BUTT) and the size that fits a face. The square thread is refused: no current
standard defines it.
`hand: right | left | both`: a left-handed groove is the screw motion about the reversed axis
rising along it; both cuts the two grooves, crossing, in one boolean. `steep_flank` turns a
buttress. The design diameters are checked against the published tables (ISO 2904/DIN 103,
DIN 513 via IS 4696-3); every form's cut against 2π∫ r w(r) dr per turn to 1e-4 in engine tests
and to 1e-4 in ladder 06/011 to 016 (they measure within 5e-7).
FeatureKind::Thread holds every option the command has (form, hand, starts, ease_in, ease_out,
tip, chamfer_angle, chamfer_depth, steep_flank, all defaulted so saved threads load unchanged);
starts, runouts and the chamfered tip are refused as not built yet. suggested_thread_in takes the
form.
Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com>
A thread of some length ran from "the end of the face nearest the pick", a coin toss for a
pick in the middle (rig 602's 4 mm thread meant for the free bottom end ran at the head end,
cutting 1.17 mm into the hex), and every thread end at a face end got a one-pitch overrun,
which at a shoulder gouged the material past it (ladder 06/004 cut 0.9% of its volume out of
the collar).
- kernel: material_in_ring, the exact intersection of a body with a ring about a cylinder
face's axis, by an SMLib boolean.
- doc: a face end is free when no material lies past it, over the span the groove's one-pitch
overrun reaches beyond its first pitch, within the radii the groove cuts (a cap, a chamfer
the groove runs out through, a counterbore). At a free end the groove runs out as before; at
a closed one (a shoulder, a head, a blind hole's bottom) it stops with its widest part clear
of it; inside the face it stops square.
- doc: a thread of some length starts at the end nearest `from`, else at the face's only free
end, else at the end the pick lies within a third of the face of; a pick in the middle of a
face whose ends are alike is refused, naming `from`. A length as long as the face runs the
whole face. `up_to` a plane or a point's place along the axis. New fields `from`, `up_to`
default to none, so saved threads keep their meaning where it was not a coin toss.
- engine: solid.thread takes extent (full|length|up_to), from and up_to.
- ladder 06/003 (now with `from`), 004 and 007 are graded by volume and centre of mass in
closed form (a square stop inside material removes exactly length/P turns, the section being
symmetric); rig 602's method says why the thread is at the bottom, tolerance 0.02%.
Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com>
ladder/05/011 expected 8 faces (the stock's 6 and one per hole). With equal
radii the two walls cross along two ellipses that meet at the two points
where the walls are tangent (x = 25 and 35, y = 20, z = 10), so each wall is
left in two pieces that touch only at those points, with no edge between
them: separate faces, 10 in all. SMLib makes those 10 (volume exact); truck's
8 came with an invalid record. Derivation in the case's method.
Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com>
Claude-Session: https://claude.ai/code/session_017itGh5fpMEousnZ91cYcVt
Tiers: primitives; booleans in the degeneracy classes (coincident and coplanar faces, edge-on-edge,
vertex-on-face, tangent along a line and a circle, near-tangent gaps and overlaps of 1e-3 and
1e-6 mm, seam and pole crossings) and cuts that end in a single line (a knife-edge wedge, a V
groove and a cylinder that pinch the part in two, a hole tangent to a face, a notch flush with an
end); line-and-arc extrudes and revolves (partial, touching the axis); spline profiles, sweeps
and lofts; holes and tapped holes (blind, drilled, counterbore, countersink, M5-M8 taps, into a
curved face, near and tangent to an edge, crossing); modelled threads (external, fine, partial,
to a shoulder, internal, into a chamfer, at a filleted shoulder); fillets (constant, tangent
chains, convex and concave, variable down to 1e-3 and to 0 at a vertex, corners with equal and
unequal radii, g2 corners); chamfers (two distances, angle, three- and two-edge corners, curved);
shells and offsets; patterns and mirrors (overlapping instances that cut a core free); and
cumulative parts.
A running part grows one tier at a time through `base` (back wall, revolved boss and slot,
spline window, tapped holes, rounds, chamfers, shell, vents), and the last case adds its thread:
it carries every tier. Answers are analytic wherever the geometry has them (Pappus, Steinmetz,
ISO 68-1 basic thread profiles, exact Gauss quadrature of Bezier profiles, inclusion-exclusion
for chamfered corners), otherwise invariants; each `method` gives the derivation, and
tools/kernel-ladder/cases.py (standard-library Python, like tools/oracle-analytic) writes them.
Capabilities SolidCraft lacks are `missing` cases: multi-start threads, thread runout lengths,
fillet corner setbacks.
The golden is the first recording on truck, each tier sorted by its time. SMLib booleans are
not on this branch yet, so the smlib column records "not supported yet" for every case.
Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com>
Claude-Session: https://claude.ai/code/session_01QWhMwdqJYQKQq8RCLSL1LT
jyviko