83c31d77c4
* feat(geom): surfaces through curve networks, and spline spaces to build them Adds spline_space (clamped B-spline spaces, Hermite interpolation, exact embedding by Bézier degree elevation and knot insertion, a monotone cubic for reparameterising) and network (loft, Coons and Gordon surfaces through curves in one or two directions, with G1/G2 cross-boundary conditions against a neighbouring face). Part of #763. Co-Authored-By: Claude Opus 5.5 <[email protected]> * feat(kernel): boundary surfaces from sketch curves, 3D curves and edges kernel::boundary_network turns sketch chains, 3D sketch polylines and edge chains into network curves, gives G1 frames of the faces along open edges (EdgeFaces), builds the B-spline face (sides split at chain vertices so a join shares the body's edges) and joins it into a surface body by stitching. G2 is refused for now (not supported yet). Part of #763. Co-Authored-By: Claude Opus 5.5 <[email protected]> * fix(kernel): second derivatives of B-spline surfaces in the vendored truck-geometry BSplineSurface::uuder and vvder multiplied the second differences by p instead of p·(p − 1), as BSplineCurve::der2 does, so every surface of degree p ≥ 3 (NURBS too, through its homogeneous surface) reported 1/(p − 1) of its second derivative: a cubic surface's curvature read as half. This is why a G2 boundary surface on a cylinder measured half the curvature it carries (#763). New tests hold both to finite differences for degrees 2 to 5. Co-Authored-By: Claude Opus 5.5 <[email protected]> Claude-Session: https://claude.ai/code/session_01LGeCa5jWWdroMWvXxN3LLM * feat(kernel): G2 boundary surfaces against a body's face The network always carried the face's curvature across a G2 edge; the refusal came from measuring it with truck's halved surface second derivatives (fixed in the previous commit). EdgeFaces now reads the face's second fundamental form from the exact second derivatives instead of differencing the normal. A new test holds the curvature across a cylinder's edge to the cylinder's within 0.1%, also with a sheared far curve; G3 is refused (a network holds up to G2). Co-Authored-By: Claude Opus 5.5 <[email protected]> Claude-Session: https://claude.ai/code/session_01LGeCa5jWWdroMWvXxN3LLM * test(kernel): a boundary patch with straight corners measures its own area A stadium's arcs meet its lines at 180°, so the Coons patch is singular at its corners. From such a corner the reference mesher's boundary walk ran onto the B-spline's extrapolation past its domain (a planar spline passes through every point of its plane there), and the face measured 289 mm² for its 158.5 (#763). The vendored mesher's bounded projection (nearest_projection, #2043) keeps the walk on the domain; this holds it there, by the faces, the measuring mesh and the display mesh. The display path (#1653) was never affected. Co-Authored-By: Claude Opus 5.5 <[email protected]> Claude-Session: https://claude.ai/code/session_01LGeCa5jWWdroMWvXxN3LLM * feat(geom,kernel): three-sided boundary surfaces (one side collapsed to a point) A network curve may be a PointCurve: the apex where the two sides beside it meet. The curves through it cross it at the point itself, its row of the net collapses there, and the kernel's face leaves that side out of its loop (three edges, one vertex at the apex). One point per patch, as a side; refused elsewhere, when it moves, or with a continuity condition. Tests: a triangle and a quarter disc filled flat with their analytic areas (40 mm², 25π), by geom and by the kernel's faces and meshes. Co-Authored-By: Claude Opus 5.5 <[email protected]> Claude-Session: https://claude.ai/code/session_01LGeCa5jWWdroMWvXxN3LLM * feat(doc): boundary surfaces through curve networks and loops of three or four FeatureKind::SurfaceNetwork saves a network as `u` and `v` curves, each a sketch chain (planar or 3D), a chain of a body's edges with an optional G1/G2 continuity, or a point (the apex of a three-sided patch), and an `operation` that can join the surface into the body of its edges. A SurfaceBoundary of three or four sketch curves, refused until now, builds as the flat Coons patch of its loop (three collapse the side opposite the first curve). The format change is one pending file; feature-walk goldens record the new variant's sketches, bodies and points. Co-Authored-By: Claude Opus 5.5 <[email protected]> Claude-Session: https://claude.ai/code/session_01LGeCa5jWWdroMWvXxN3LLM * feat(engine): surface.boundary through loops of three or four and curve networks The command keeps its loop form (two to four curves of one sketch; three and four now build the flat patch of the loop, crown refused there) and gains a network form: `u` and `v`, each curve a sketch curve id, a {sketch?, curves} chain (planar or 3D), a {body, edges, continuity?} edge chain (g1/g2 with the face beside it) or a {point} for a three-sided patch, with `operation` new or join. Edits may move between the two forms (timeline.redefine accepts the command now that it has a dialog). Tests: analytic areas of loop patches and of a hyperbolic paraboloid bounded by four 3D lines (every mesh vertex on z = xy/10), a loft across two sketches, G1 and G2 measured across a cylinder's edge with inspect.continuity (angle < 0.1°; curvature jump 1e-16 with G2 against 0.027 with G1), 26 hostile networks refused without panicking, and u/v added to hostile_params_never_panic. Co-Authored-By: Claude Opus 5.5 <[email protected]> Claude-Session: https://claude.ai/code/session_01LGeCa5jWWdroMWvXxN3LLM * feat(ui): Boundary Surface dialog Curves and Cross curves take sketch curves and edges (picks that meet end to end in one sketch or body are one chain); Continuity and Operation (New Body or Join). Two to four sketch curves of one sketch with nothing across are the loop patch; anything else is a network. Edit Feature brings either back (per-side orders, crown and stations the dialog does not show are kept). Strings in en, ja and zh. Co-Authored-By: Claude Opus 5.5 <[email protected]> Claude-Session: https://claude.ai/code/session_01LGeCa5jWWdroMWvXxN3LLM * docs: ROADMAP M8 and the bridge patch's notes for boundary networks (#763) Co-Authored-By: Claude Opus 5.5 <[email protected]> Claude-Session: https://claude.ai/code/session_01LGeCa5jWWdroMWvXxN3LLM * test(oracle): a boundary surface through a loop, thickened (#763) Case 83: four sketch curves (a square's three sides and a half circle for its top) make one boundary surface, thickened 2 mm; analytic values from tools/oracle-analytic/cases_surfaces.py (V = 2A, area 2A + 2P, centroid by moments). Recipes gain boundary_surface, thicken and remove. Co-Authored-By: Claude Opus 5.5 <[email protected]> Claude-Session: https://claude.ai/code/session_01LGeCa5jWWdroMWvXxN3LLM * refactor: boundary surfaces, review cleanups Project onto the face once per derivative evaluation (the frame is passed to natural() and reused by scale()), keep each track's finite-difference step instead of rescanning its table, export the kernel's edge-pick and chain caps and the default station count for the engine, doc and dialog to share, map TooLarge spline errors to KernelError::TooLarge, reuse the engine's operation parser, and skip the dialog's sketch lookup when the picks are no loop. Co-Authored-By: Claude Opus 5.5 <[email protected]> Claude-Session: https://claude.ai/code/session_01LGeCa5jWWdroMWvXxN3LLM --------- Co-authored-by: jyviko <[email protected]> Co-authored-by: Claude Opus 5.5 <[email protected]> Co-authored-by: bherbruck <[email protected]>
24 KiB
24 KiB
Reference tests
Generated by cargo xtask oracle. Each case in tests/oracle/ is a part described by our own recipe.json. SolidCraft replays the recipe through its command engine and compares the result with expected.json: body count, volume and area (relative tolerance 1e-3 unless the case states another), centre of mass and bounding box (within 1e-3 of the part's size), face count where the geometry fixes it, and, where the case has a reference.stl, the sampled symmetric (Hausdorff) distance between the two surfaces and the principal second moments of both triangulations. Every rebuilt part is also exported as STEP, validated and read back.
Where the expected values come from (the Source column):
- analytic: closed-form geometry worked out by hand (prisms, cylinders, cones, spheres, tori and Pappus' theorems, fillets on straight edges with a constant radius or one varying along the edge, sheet-metal bends as annular sectors). The scripts in
tools/oracle-analytic/compute them and give the formulas. - freecad <version>: the same recipe built with FreeCAD's public Python scripting API by
tools/freecad-oracle/, an independent kernel run as an external program. FreeCAD is not a dependency of SolidCraft. Where the two kernels legitimately build a different shape (for example the corner patch where fillets meet), only volume and area are compared, within the tolerance the case states.
No expected value comes from a commercial CAD product.
83 / 83 cases pass; sources: 62 analytic, 21 freecad. 0 known failure(s) tracked in issues; 0 case(s) without expected values yet.
| Case | Source | Result | Surface distance mm (max / mean) | Method | Notes |
|---|---|---|---|---|---|
| 01-box | analytic | pass | box 40 x 30 x 20 from the origin: V = abc, A = 2(ab + bc + ca) | ||
| 02-cylinder | analytic | pass | cylinder r=15 h=50 on XY: V = pi r^2 h, A = 2 pi r^2 + 2 pi r h | ||
| 03-box-through-hole | analytic | pass | box 60x40x20 minus centred through cylinder r=6: V = abc - pi r^2 c, A = 2(ab+bc+ca) - 2 pi r^2 + 2 pi r c; hole is centred so the centroid stays at the box centre | ||
| 04-revolve-vase | analytic | pass | revolve of a line/3-point-arc profile (XZ, x = radius, z = -sketch y) 360 deg about Z. Pappus/Green: V = 2 pi * int x dA, z_c = int x z dA / int x dA, A = sum over profile edges of 2 pi int x ds (bottom disk r20, frustum r20->25, torus zone of the arc (centre (-16.000000, 33.000000), R=41.109610), frustum r15->18, top disk r18) | ||
| 05-taper-extrude | analytic | pass | square frustum: base 40 at z=0, top a1 = 40 + 230tan10 at z=30 (positive taper grows outward); V = h/3 (A0 + A1 + sqrt(A0 A1)), z_c = h (A0 + 2 sqrt(A0A1) + 3 A1) / (4 (A0 + sqrt(A0A1) + A1)), sides = 4 trapezoids (a0+a1)/2 * h/cos(10) | ||
| 06-symmetric-extrude | analytic | pass | 50 (x) by 20 (z) rectangle on XZ extruded +-15 along Y: box 50x30x20 centred at origin | ||
| 07-fillet-all-edges | analytic | pass | box 40x30x20 with every edge rounded r=3 = inner box (34x24x14) grown by a ball r (Steiner): V = abc + 2r(ab+bc+ca) + pi r^2 (a+b+c) + 4/3 pi r^3, A = 2(ab+bc+ca) + 2 pi r (a+b+c) + 4 pi r^2; faces 6 planes + 12 quarter cylinders + 8 sphere octants | ||
| 08-chamfer | analytic | pass | box 40x30x20 with the 4 top edges chamfered 2: lower box 40x30x18 + top slab with section (36+2u)x(26+2u) at depth u (V, moment by exact polynomial integration); A = bottom + sides(h=18) + top 36x26 + 4 trapezoid bevels of slant 2 sqrt2 | ||
| 09-shell | analytic | pass | 50x40x30 box shelled inward 2 with the top open: box minus cavity [2,48]x[2,38]x[2,30]; A = outer bottom + outer sides + rim + cavity floor + cavity walls | ||
| 10-rect-pattern-holes | analytic | pass | plate 90x70x5 minus 12 through cylinders r=3 at (15+20i, 15+20j), i<4, j<3: V = abc - 12 pi r^2 t, A = 2(ab+bc+ca) + 12(2 pi r t - 2 pi r^2) | ||
| 11-circular-pattern-flange | analytic | pass | annulus R50/r15 h10 minus 6 through cylinders r=5 on a 40 radius: V = pi(R^2-r^2)h - 6 pi rh^2 h, A = 2 pi(R^2-r^2) + 2 pi(R+r)h + 6(2 pi rh h - 2 pi rh^2); 6-fold symmetry keeps the centroid on the axis | ||
| 12-mirror-feature | analytic | pass | block [-30,30]x[0,30]x[0,10] + two bosses r=6 h=15 at (+-15,15) on top (mirror across YZ): V = abc + 2 pi r^2 h, A = 2(ab+bc+ca) + 2 * 2 pi r h | ||
| 13-combine-join | analytic | pass | box [0,40]^2x[0,20] union cylinder r=12 at (40,20) z 0..40: V = box + half-cylinder (x>40, z<20, centroid 40 + 4r/3pi) + full cylinder z 20..40; A = bottom (1600 + pi r^2/2) + box top (1600 - pi r^2/2) + cyl top + 3 full sides + x=40 side minus 24x20 + cyl side (pi r 40 outside half + pi r 20 upper inside half) | ||
| 14-combine-cut | analytic | pass | box [-25,25]^2x[-20,0] minus sphere r=15 at the origin (lower hemisphere removed): V = abc - 2/3 pi r^3, hemisphere centroid z = -3r/8; A = 2(ab+bc+ca) - pi r^2 + 2 pi r^2 | ||
| 15-combine-intersect | analytic | pass | cube [-20,20]^3 intersect sphere R=25: sphere minus 6 disjoint caps of height h=5 (caps cannot overlap: two would need x^2+y^2 > 800 > R^2); V = 4/3 pi R^3 - 6 pi h^2 (3R-h)/3, A = 4 pi R^2 - 6 * 2 pi R h + 6 pi (R^2-20^2) | ||
| 16-sweep | analytic | pass | circle r=3 swept along line 30 (+Z) + tangent R20 quarter arc + line 30 (+X): two cylinders + quarter torus (Pappus: V = pi r^2 R theta, A = 2 pi r R theta; torus centroid at rho = (R^2 + r^2/4)/R * sin(theta/2)/(theta/2) from the bend axis along the bisector) + 2 end disks | ||
| 17-loft | freecad 1.1.4 | pass | 0.013 / 0.0019 (worst at -7.9, -10.8, 31.2) | FreeCAD (OpenCASCADE) build of recipe.json by tools/freecad-oracle/build.py: Part.makeLoft | |
| 18-hole-features | analytic | pass | plate 60x40x15 minus: counterbore (r7 x 5 deep + r4 through), countersink (90 deg cone frustum r6->r3 over 3 mm + r3 through), blind r3 hole 10 deep to the shoulder with a 118 deg cone point (height 3/tan59, centroid 1/4 up from the apex); areas: removed top/bottom disks, cylinder walls 2 pi r h, cb floor annulus, cone laterals pi r s | ||
| 19-l-bracket-constrained | analytic | pass | solved L: (0,0)-(60,0)-(60,8)-(8,8)-(8,40)-(0,40); area 60x8 + 8x32, extruded 20: V = A2 h, A = 2 A2 + perimeter*h, centroid of the two rectangles | ||
| 20-slot-constrained | analytic | pass | obround: arc centres (0,0) and (40,0), R6, tangent horizontal lines y=+-6: A2 = 2rL + pi r^2, V = A2 h, A = 2 A2 + perimeter (2L + 2 pi r) h | ||
| 21-draft | analytic | pass | 40x40x30 box, 5 deg draft hinged on the bottom (z=0), pull -Z: square frustum 40 -> 40 + 230tan5; V = h/3 (A0 + A1 + sqrt(A0A1)), sides 4 trapezoids of slant h/cos5 | ||
| 22-split-body | analytic | pass | cylinder r20 z -30..30 split by the plane through the X axis tilted 30 deg (z = y tan30, stays within /z/<=11.6 inside the cylinder): 2 congruent halves (point symmetry), V total = pi r^2 h, A total = cylinder + 2 ellipses pi r (r/cos30) | ||
| 23-bracket-multifeature | freecad 1.1.4 | pass | 0.007 / 0.0010 (worst at 57.3, 49.3, 25.8) | FreeCAD (OpenCASCADE) build of recipe.json by tools/freecad-oracle/build.py: Part extrude, Part extrude join, Part makeFillet, Part extrude join, Part extrude cut, Part makeChamfer | |
| 24-user-parameters | analytic | pass | width 60 x depth 40 x height 15 block from the origin with a centred d10 through hole: V = (wd - pi r^2) h, A = 2(wd - pi r^2) + 2(w+d)h + 2 pi r h | ||
| 25-sketch-triangle | analytic | pass | solved triangle (0,0), (50,0), P = t(cos60, sin60) with t = 25 + sqrt(150) from /P-(50,0)/ = 45 (the root nearest the drawn apex); V = (1/2 * 50 * Py) * 5, A = 2 A2 + perimeter*5, centroid = vertex mean | ||
| 26-sketch-belt | analytic | pass | belt: convex hull of circles R20 @ (0,0) and r10 @ (50,0) (external tangents, sin a = (R-r)/d) minus the d8 hole at (50,0), extruded 5 as one body; hull area = (R+r) sqrt(d^2-(R-r)^2) + R^2(pi+2a)/2 + r^2(pi-2a)/2; moments by Green's theorem over the line/arc boundary | ||
| 27-sketch-trapezoid | analytic | pass | solved trapezoid bottom (-30,0)-(30,0), top (-15,25)-(15,25) minus two d6 holes at (+-18, 8) (symmetric about the axis, 36 apart, 8 above l1); trapezoid centroid y = H(a+2b)/(3(a+b)); V = A2 t, A = 2 A2 + perimeter t | ||
| 28-blind-pocket-fillets | freecad 1.1.4 | pass | 0.009 / 0.0015 (worst at 60.0, 15.1, 13.4) | FreeCAD (OpenCASCADE) build of recipe.json by tools/freecad-oracle/build.py: Part extrude, Part extrude cut, Part makeFillet | |
| 29-two-sided-and-partial-revolve | analytic | pass | block [-20,20]x[-25,10]x[0,20] minus the 270 deg revolve (from +X towards +Y) of the 8x8 square r 4..12, z 12..20; the removed section is the annular sector minus the circular segment y > 10 (R^2 acos(d/R) - d sqrt(R^2-d^2), y-moment 2/3 (R^2-d^2)^1.5) that lies outside the block; sector moments (R^3-r^3)/3 (sin, 1-cos); A = box - top opening + floor - front-face notch 2 sqrt(44) x 8 + inner wall r th h + outer wall (th - pi + 2 asin(5/6)) R h + 2 end caps | ||
| 30-fillet-after-shell | freecad 1.1.4 | pass | 0.008 / 0.0025 (worst at 56.3, 35.7, 3.5) | FreeCAD (OpenCASCADE) build of recipe.json by tools/freecad-oracle/build.py: Part extrude, makeThickness shell, Part makeFillet | |
| 31-fillet-l-all-edges | freecad 1.1.4 | pass | 0.009 / 0.0018 (worst at 7.9, 38.6, 18.0) | FreeCAD (OpenCASCADE) build of recipe.json by tools/freecad-oracle/build.py: Part extrude, Part makeFillet | |
| 32-boss-plate-fillets | analytic | pass | plate 60x60x8 + boss (r10, z 8..23) with R3 concave base and R2 convex top fillets taken as one solid of revolution: V, z-moment and lateral area from Pappus/Green on its (r,z) profile (quarter-circle fillet arcs); plate top loses the r13 disc | ||
| 33-fillet-tangent-chain | analytic | pass | obround (R8, centres 40 apart) x 10 minus R2 fillet spandrel R^2(1-pi/4) and 1 mm chamfer triangle swept round the whole loop (Pappus: section x path of its centroid, inset R(10-3pi)/(3(4-pi)) resp. c/3); surfaces likewise (fillet arc centroid inset R-2R/pi) | ||
| 34-chamfer-then-fillet | freecad 1.1.4 | pass | 0.009 / 0.0022 (worst at 38.5, 5.6, 19.9) | FreeCAD (OpenCASCADE) build of recipe.json by tools/freecad-oracle/build.py: Part extrude, Part makeChamfer, Part makeFillet | |
| 35-fillet-curved-curved | freecad 1.1.4 | pass | 0.011 / 0.0024 (worst at -9.5, 5.3, 14.6) | FreeCAD (OpenCASCADE) build of recipe.json by tools/freecad-oracle/build.py: Part extrude, Part extrude join, Part makeFillet | |
| 36-corner-blend-two-radii | freecad 1.1.4 | pass | 0.012 / 0.0026 (worst at 45.4, 39.2, 26.5) | FreeCAD (OpenCASCADE) build of recipe.json by tools/freecad-oracle/build.py: Part extrude, Part makeFillet | |
| 37-pyramid-apex-blend | freecad 1.1.4 | pass | 0.020 / 0.0029 (worst at -0.0, 0.0, 28.4) | FreeCAD (OpenCASCADE) build of recipe.json by tools/freecad-oracle/build.py: Part.makeLoft, Part makeFillet | |
| 38-coincident-cylinders | analytic | pass | union of r10 z0..30 and r10 z20..50 = cylinder r10 h50: V = pi r^2 h, A = 2 pi r h + 2 pi r^2 | ||
| 39-tee-pipe | freecad 1.1.4 | pass | 0.008 / 0.0014 (worst at -9.7, 2.4, 40.0) | FreeCAD (OpenCASCADE) build of recipe.json by tools/freecad-oracle/build.py: Part extrude, Part extrude join, Part extrude cut | |
| 40-box-sphere-torus | analytic | pass | box 60x60x10 (z -10..0) + upper hemisphere r12 + spherical cap h2 below z=-10 (V = pi h^2(3R-h)/3, A = 2 pi R h) - lower half torus R22 r4 (Pappus: V = pi r^2/2 * 2 pi R, centroid -4r/3pi, A = pi r * 2 pi R); top loses disc r12 and annulus 18..26, bottom loses disc r sqrt(44) | faces: bottom, 4 sides, top split by the groove into an annulus (r 12..18) and the outer part, upper sphere, lower cap, torus | |
| 41-tube-radial-holes | freecad 1.1.4 | pass | 0.010 / 0.0012 (worst at 1.9, 19.9, 24.8) | FreeCAD (OpenCASCADE) build of recipe.json by tools/freecad-oracle/build.py: Part extrude, Part extrude cut, pattern (tools transformed and re-applied) | |
| 42-overlapping-patterns | freecad 1.1.4 | pass | 0.009 / 0.0010 (worst at -1.0, -10.1, 2.2) | FreeCAD (OpenCASCADE) build of recipe.json by tools/freecad-oracle/build.py: Part extrude, Part extrude cut, pattern (tools transformed and re-applied), Part extrude cut, pattern (tools transformed and re-applied) | |
| 43-cut-splits-body | analytic | pass | two boxes 35x20x20 (x 0..35 and 45..80): V = 2abc, A = 2*2(ab+bc+ca) | ||
| 44-shell-l-bracket | analytic | pass | L prism (area 736, perimeter 200) x 20 minus cavity = L shrunk by 2 (SolidCraft's intersection-join shell convention: inner faces offset by 2 and extended to meet, sharp inner corner at (6,6); area 352) from z=2 to 20. A rounded (arc) join would give V 8368.5487, A 8768.5487, 16 faces | ||
| 45-shell-boss-plate | analytic | pass | plate 60x60x10 + boss r12 h20 minus cavity (box 56x56x8 + cylinder r10 z8..28) under SolidCraft's intersection-join shell convention (offset faces extended to meet: sharp circular inner edge at r10, z8). A rounded (arc) join would give V 13620.2567, A 14104.4455, 16 faces (torus round r2) | ||
| 46-shell-two-open-faces | analytic | pass | box 50x40x30 minus cavity x3..47, y0..37, z3..30 (3 mm walls, top and front open) | ||
| 47-draft-curved-pocket | freecad 1.1.4 | pass | 0.008 / 0.0019 (worst at 22.1, 21.3, 15.0) | FreeCAD (OpenCASCADE) build of recipe.json by tools/freecad-oracle/build.py: Part extrude, Part extrude cut, PartDesign Draft | |
| 48-pulley | analytic | pass | revolve of the 12-segment (r,z) polygon about Z: V = 2 pi int r dA, Mz = 2 pi int r z dA, A = 2 pi int r ds (Pappus) | ||
| 49-helical-sweep | analytic | pass | true helix coil (screw motion of the axial d4 section, R20, pitch 8, 3 turns): V = turns * 2 pi R * pi a^2; lateral A = turns * 2 pi * int sqrt(r^2 + (p/2pi)^2 (dr/ds)^2) ds (periodic trapezoid, exact to round-off) + two end discs; COM z = pitch*turns/2 | ||
| 50-sweep-tight-bend | analytic | pass | tube r5 along line 20 + R5 quarter bend + line 20: V = pi r^2 L, A = 2 pi r L + 2 pi r^2 (Pappus, valid while bend radius >= r; here equal so the inner side pinches to a line); bend centroid at (R^2 + r^2/4)/R * sinc(pi/4) along the bisector | ||
| 51-loft-rect-circle-offset | freecad 1.1.4 | pass | 0.025 / 0.0030 (worst at -11.7, 15.0, 0.4) | FreeCAD (OpenCASCADE) build of recipe.json by tools/freecad-oracle/build.py: Part.makeLoft | |
| 52-circular-pattern-fillet | analytic | pass | disc r40 h8 + 6 x (boss r6 h10 with R2 concave base fillet as a solid of revolution, Pappus/Green on its (r,z) profile) at radius 28; disc top loses 6 discs r8 | ||
| 53-path-pattern | analytic | pass | plate 120x60x5 minus 7 through holes d6 at arc lengths k*17.875031 along the arc through (100,15),(60,45),(20,15) (centre (60,10/3), R 125/3), translated copies | ||
| 54-mirror-body-fillets | analytic | pass | prism h10 of the 60x40 rectangle with four R5 corner rounds and two d8 holes at (+-15,20): V = A h, area = 2A + perimeter*h | ||
| 55-tapped-hole-cosmetic | analytic | pass | plate 40x30x15 minus d6.8 cylinder 12 deep (to the shoulder) and 118 deg drill point cone (h = r/tan59, V = pi r^2 h/3, lateral pi r * r/sin59); cosmetic thread adds no geometry | ||
| 56-holes-on-curved-face | freecad 1.1.4 | pass | 0.009 / 0.0018 (worst at -16.9, 18.5, 0.0) | FreeCAD (OpenCASCADE) build of recipe.json by tools/freecad-oracle/build.py: Part extrude, hole tool (cylinder/cone) cut | |
| 57-hole-pattern-sketch-points | analytic | pass | plate 80x50x10 minus 6 counterbored through holes (cb d10 x 5.5, hole d5.5) at x 15/40/65, y 15/35 | ||
| 58-phone-stand | freecad 1.1.4 | pass | 0.007 / 0.0010 (worst at 82.5, 11.7, 6.1) | FreeCAD (OpenCASCADE) build of recipe.json by tools/freecad-oracle/build.py: Part extrude, Part makeFillet, Part extrude cut | |
| 59-enclosure-base | freecad 1.1.4 | pass | 0.008 / 0.0017 (worst at 90.9, 53.0, 6.0) | FreeCAD (OpenCASCADE) build of recipe.json by tools/freecad-oracle/build.py: Part extrude, Part makeFillet, makeThickness shell, Part extrude join, Part extrude cut | |
| 60-pipe-flange | freecad 1.1.4 | pass | FreeCAD (OpenCASCADE) build of recipe.json by tools/freecad-oracle/build.py: Part revolve, Part extrude cut, pattern (tools transformed and re-applied), Part makeChamfer, Part makeFillet | No reference.stl: over 409600 bytes even at 0.02 mm deflection (11380 facets). | |
| 61-shaft-keyway | freecad 1.1.4 | pass | 0.008 / 0.0019 (worst at 12.2, 2.8, 72.1) | FreeCAD (OpenCASCADE) build of recipe.json by tools/freecad-oracle/build.py: Part revolve, Part makeChamfer, Part extrude cut | |
| 62-heat-sink | analytic | pass | base 60x50x5 + 15 fins 1.5x50x25 at x = 2 + 4k: sums of boxes; fin ends coplanar with the base ends | faces: bottom, x=0, x=60, y=0 and y=50 (each merged with the fin ends), 16 base-top strips, 15x3 fin faces | |
| 63-hinge-knuckle | freecad 1.1.4 | pass | 0.008 / 0.0016 (worst at 28.0, 36.9, 4.7) | FreeCAD (OpenCASCADE) build of recipe.json by tools/freecad-oracle/build.py: Part extrude, Part extrude join, Part extrude cut | |
| 64-sketch-tangent-arc-chain | analytic | pass | solved sketch: 80x20 rectangle whose top is 4 tangent R12 arcs on 20 mm chords alternating up/down (net area 1600); prism h3: V = A h, area = 2A + perimeter*h, Green's theorem for centroid | ||
| 65-sketch-gear-tooth | freecad 1.1.4 | pass | 0.008 / 0.0017 (worst at -6.5, 39.5, 0.0) | FreeCAD (OpenCASCADE) build of recipe.json by tools/freecad-oracle/build.py: Sketcher-solved sketch, Part extrude | |
| 66-sketch-linkage | analytic | pass | solved sketch: hull of circles R12 at (0,0) and R8 at (60,0) (outer tangent lines, cos a = 4/60) minus holes d12, d8 (concentric) and d4 at (30,+-4) (symmetry keeps radii equal); prism h6 | ||
| 67-sm-base-flange | analytic | pass | plate 100 x 60 x t, t = 2.5 (Steel (mm) rule), thickness along +Z: V = 10060t, A = 2(ab+bc+ca) | ||
| 68-sm-edge-flange | analytic | pass | extrusion along x (100) of the YZ section: base y 5..60 x t; 90 deg bend annulus R 2.5..5 about (y 5, z 5); flange y 0..2.5, z 5..20. Setback (R+t)tan45 = 5 (inside bend position, outer-face height datum: outer face of flange reaches z = 20); V = L*A_sec, A = 2 A_sec + L P_sec | trim/setback and height datum are SolidCraft's documented edge-flange conventions (sheet.rs add_flanges) | |
| 69-sm-tray | analytic | pass | tray: base 90 x 50 x 2.5 (each edge trimmed by the setback 5); four 90 deg bends R 2.5..5 along the trimmed edges (90, 50, 90, 50 long); four walls 2.5 thick, z 5..25, each running on past its bend by ext = (R+t) - (t + gap/sqrt2) = 0.732233047 at both ends; open corners. A = sum of prisms - 2 x joints | corner treatment is SolidCraft's convention (sheet.rs close_corners: panels extended until their inner corners are the rule gap = t apart; no corner fill, open corner relief below the walls) | |
| 70-sm-flange-45 | analytic | pass | as 68 with a 45 deg bend: setback (R+t)tan22.5 = 2.071068, base y 2.071068..60, bend annulus 2.5..5 over 45 deg about (y 2.071068, z 5), flat leg 15 - setback = 12.928932 turned 45 deg; extrusion along x 100 | SolidCraft convention: flange height (15) is measured along the flange's outer face from the virtual sharp at the original edge (y 0, z 0), so the outer top corner is at (y, z) = (-15 cos45, 15 sin45). | |
| 71-sm-custom-rule | analytic | pass | U channel, rule t 1.5, R 3, K 0.33 (K unused folded): base y 4.5..45.5 x 1.5; two 90 deg bend annuli R 3..4.5; flanges y 0..1.5 and 48.5..50, z 4.5..20; extrusion along x 80 | the rule edit applies to the whole sheet body (base built before it is 1.5 thick too, as the recipe's edge picks at z = 1.5 state) | |
| 72-sm-contour-flange | analytic | pass | contour flange, width 50 along +Y, XZ section: plate x 0..35 z 0..2.5; bend R 2.5..5 about (35, 5) (sketch corner = outer virtual sharp, setback R+t); wall x 37.5..40 z 5..27.5; bend R 2.5..5 about (42.5, 27.5) (sketch corner = inner virtual sharp, setback R); plate x 42.5..70 z 30..32.5 | SolidCraft convention: the sketch lines are the sheet face away from the material (material right of travel); thickness grows to the material side | |
| 73-sm-hem | analytic | pass | 68's part (height 20) plus a flat hem on the flange top edge: 180 deg bend, inner radius = hem gap 0.01, outer 2.51, about (y 2.51, z 20), folded toward +y (inside); hem leg 8 - (0.01 + 2.5) = 5.49: y 2.52..5.02, z 14.51..20; extrusion along x 100 | SolidCraft conventions: hem gap 0.01 mm (rule hem_gap), hem length measured to the outer face of the hem bend (top at z 22.51), hem folds over the flange's inner face. | |
| 74-sm-unfold-refold | analytic | pass | U channel 80x50 (t 2.5, R 2.5, base y 5..45, flanges z 5..20) with the flat-pattern slot x 35..45, y -12..10 refolded: BA = (pi/2)(R + K t) = 5.654866776, so the slot removes base y 5..10, the whole y=0 bend and the flange from z 5 to 5 + (12 - (BA - 5)) = 16.345133224; x-segments 0..35 / 35..45 / 45..80 | unfold/refold maps flat distance through the K-factor neutral layer (K 0.44) | |
| 75-sm-bracket-holes | analytic | pass | base x 0..75, y 5..40, z 0..2.5 (trimmed 5 by each flange's setback); bend 1 (R 2.5..5 about y 5, z 5) x 0..75; flange 1 y 0..2.5, z 5..30, x 0..80; bend 2 (R 2.5..5 about x 75, z 5) y 5..40; flange 2 x 77.5..80, z 5..15, y 5..40; minus two d6 through holes at (25,20), (55,20) in the base. A = sum of prism areas - 2 x 4 joint areas (75t, 75t, 35t, 35t) + hole walls - hole discs | SolidCraft convention: the second flange trims the base under the first bend, so bend 1 stops at x 75 while flange 1's panel runs to x 80 (open corner relief, no fill). | |
| 76-sm-thickness-variant | analytic | pass | final rule thickness 3 (bend radius = Thickness = 3): base y 6..60 x 3; bend annulus R 3..6 about (y 6, z 6); flange y 0..3, z 6..20; extrusion along x 100 | the rule's thickness edits regenerate the whole sheet body; only the final 3 mm state matters | |
| 77-fillet-variable-linear | analytic | pass | box 40x30x20 with its top front edge (y=0, z=20) rounded at a radius running straight from 2 (x=0) to 5 (x=40): sections are quarter rounds, V = abc - (1 - pi/4) L (a^2 + ab + b^2) / 3; moments and the round's area integrated along the edge (tools/oracle-analytic/cases_fillets.py) | ||
| 78-fillet-variable-to-zero | analytic | pass | as 77 with the radius running from 4 (x=0) down to 0 (x=40), where the round closes to the corner: V = abc - (1 - pi/4) L a^2 / 3; the round is three-sided and the corner at x=40 stays | ||
| 79-fillet-chord-length | analytic | pass | box 40x30x20, top front edge rounded 4 wide across (chord c): r = c / (2 cos 45 deg) = 2 sqrt 2; V = abc - (1 - pi/4) r^2 L, A = 2(ab + bc + ca) - 2 r L + (pi/2) r L - 2 (1 - pi/4) r^2 | ||
| 80-fillet-taper-to-fit | analytic | pass | plate (top 20 -> 2 wide over x 0..40, 15 high) with its top front edge filleted at 3, fit: taper. The radius is the taper law: a clamped cubic B-spline in u = x/40 on 8 equal spans, control radii min(3, 0.9 room) at the Greville abscissae, room = min(20 - 18u, 15) tan 45 deg (top face width, front face height): 3.0000, 3.0000, 3.0000, 3.0000, 3.0000, 3.0000, 3.0000, 3.0000, 3.0000, 2.4750, 1.8000. Sections are quarter rounds; V, moments and areas integrated along the edge | ||
| 81-fillet-spline-radius | analytic | pass | box 40x30x20 with its top front edge (y=0, z=20) rounded at a radius that is a clamped cubic B-spline in u = x/40, knots 0,0,0,0,0.25,0.6,1,1,1,1, control radii 2, 5, 1.5, 4, 1, 3 (r(0) = 2, r(40) = 3). Sections are quarter rounds; V, moments and areas integrated along the edge, exactly per knot span | ||
| 82-thin-extrude-frame | analytic | pass | square frame: the lines' 40 mm square walled 3 mm inside and 1 mm outside (mitred corners) is 42 x 42 less 34 x 34, 10 mm tall: V = (42^2 - 34^2) * 10, A = 2 (42^2 - 34^2) + 4 * 42 * 10 + 4 * 34 * 10 | ||
| 83-boundary-loop-thicken | analytic | pass | region = 10 x 10 square + half disc r 5 on its top side: A = 100 + 12.5 pi, centroid by moments (half disc's at 4r / (3 pi) above its diameter); slab of thickness 2 over it (symmetric about z = 0): V = 2A, area = 2A + 2 (30 + 5 pi) |
Not covered by a reference case
| Feature | Tested by |
|---|---|
| Boss (draft, root fillet, hole, ribs) | post, hole and rib volumes (boss_with_hole_fillet_and_ribs) |
| Lip / Groove | band offsets and groove clearance on a shelled box (lip_and_groove_on_a_shelled_box, groove_takes_the_rule_clearance) |
| Snap Fit | arm and catch volume, hook direction (snap_fit_arm_and_catch) |
| Rest | rectangle, round, hollow and drafted pads (rest_pads) |
| Plastic Rules (manage, assign) | library values, Thickness-based values, rule draft as the boss default (plastic_rules_library_edit_and_assign) |