Add bulk UV sampler, TKHelix and MakeSphere (8.0.1.2)

- n3xd_ocp.sample.face_grid: a face's UV grid of points and outward
  normals in one GIL-free call, sampling exactly where np.linspace does
  so a caller's fitted surface does not move.
- n3xd_ocp.helix: OCCT 8.0's TKHelix, which upstream does not bind at
  all. Takes Python lists rather than NCollection_Array1. Two things the
  header does not say, both found by probing: SetParameters wants N+1
  diameters for N segments (one per boundary, so a taper interpolates),
  and the builder is right-hand only -- a negative pitch is error status
  12, not a mirrored helix.
- Bind BRepPrimAPI_MakeSphere and give inventory.py an EXTRA_SYMBOLS
  addendum for symbols no app source imports. assay's gen_flow_fixtures
  has been unrunnable since the 10C cutover for want of it; the gap was
  wider than --check, since sigdiff is inventory-driven too.

Gates: 105 tests, 139/139 symbols, sigdiff clean, ASAN clean, wheel
self-contained with no libGL/libX11 DT_NEEDED.

Co-Authored-By: Claude Opus 5 (1M context) <noreply@anthropic.com>
Claude-Session: https://claude.ai/code/session_01HbTQ2HYWQwdtGmGJwypt6Z

tests/test_ext_sample.py

@@ -0,0 +1,133 @@
+"""n3xd_ocp.sample — the bulk UV-grid sampler.
+
+The reference is the nested Python loop in cad/operations/surface_pattern.py's
+``_sample_grid``, reproduced below.  It has to match exactly rather than
+closely: the samples feed a B-spline fit, so a last-ulp difference in a sample
+location moves the patterned surface and would make the corpus disagree with
+itself for no reason.
+"""
+
+from __future__ import annotations
+
+import pytest
+
+np = pytest.importorskip("numpy")
+
+import n3xd_ocp
+from OCP.BRepAdaptor import BRepAdaptor_Surface
+from OCP.BRepPrimAPI import BRepPrimAPI_MakeBox, BRepPrimAPI_MakeCylinder
+from OCP.BRepTools import BRepTools
+from OCP.gp import gp_Ax2, gp_Dir, gp_Pnt, gp_Vec
+from OCP.TopAbs import TopAbs_FACE, TopAbs_REVERSED
+from OCP.TopoDS import TopoDS
+
+from .test_inc1_modeling import sub_shapes
+
+_MIN_NORMAL = 1e-12
+
+
+def _faces(shape):
+    return [TopoDS.Face_s(f) for f in sub_shapes(shape, TopAbs_FACE)]
+
+
+def _python_grid(face, n):
+    """surface_pattern.py::_sample_grid, reduced to points and normals."""
+    adaptor = BRepAdaptor_Surface(face)
+    umin, umax, vmin, vmax = BRepTools.UVBounds_s(face)
+    sign = -1.0 if face.Orientation() == TopAbs_REVERSED else 1.0
+    us = np.linspace(umin, umax, n)
+    vs = np.linspace(vmin, vmax, n)
+    point = np.zeros((n, n, 3))
+    normal = np.zeros((n, n, 3))
+    pnt, du, dv = gp_Pnt(), gp_Vec(), gp_Vec()
+    for i in range(n):
+        up = float(us[i])
+        for j in range(n):
+            adaptor.D1(up, float(vs[j]), pnt, du, dv)
+            point[i, j] = (pnt.X(), pnt.Y(), pnt.Z())
+            nx = du.Y() * dv.Z() - du.Z() * dv.Y()
+            ny = du.Z() * dv.X() - du.X() * dv.Z()
+            nz = du.X() * dv.Y() - du.Y() * dv.X()
+            mag = (nx * nx + ny * ny + nz * nz) ** 0.5
+            if mag > _MIN_NORMAL:
+                normal[i, j] = (sign * nx / mag, sign * ny / mag, sign * nz / mag)
+    return point, normal, (umin, umax, vmin, vmax)
+
+
+@pytest.fixture(scope="module")
+def shapes():
+    return {
+        "box": BRepPrimAPI_MakeBox(10.0, 20.0, 30.0).Shape(),
+        "cylinder": BRepPrimAPI_MakeCylinder(
+            gp_Ax2(gp_Pnt(0, 0, 0), gp_Dir(0, 0, 1)), 5.0, 12.0
+        ).Shape(),
+    }
+
+
+@pytest.mark.parametrize("name", ["box", "cylinder"])
+@pytest.mark.parametrize("n", [5, 33, 65])
+def test_matches_the_python_loop_exactly(shapes, name, n):
+    for face in _faces(shapes[name]):
+        points, normals, bounds = n3xd_ocp.sample.face_grid(face, n)
+        ref_points, ref_normals, ref_bounds = _python_grid(face, n)
+        assert bounds == ref_bounds
+        assert np.array_equal(points, ref_points)
+        assert np.array_equal(normals, ref_normals)
+
+
+def test_reversed_face_flips_the_normal(shapes):
+    """A box has both orientations; the sign has to follow each face."""
+    seen = set()
+    for face in _faces(shapes["box"]):
+        _points, normals, _bounds = n3xd_ocp.sample.face_grid(face, 5)
+        _rp, ref_normals, _rb = _python_grid(face, 5)
+        seen.add(face.Orientation() == TopAbs_REVERSED)
+        assert np.array_equal(normals, ref_normals)
+    assert seen == {True, False}, "fixture must cover both orientations"
+
+
+def test_normals_are_unit_length(shapes):
+    for face in _faces(shapes["cylinder"]):
+        _points, normals, _bounds = n3xd_ocp.sample.face_grid(face, 17)
+        lengths = np.linalg.norm(normals.reshape(-1, 3), axis=1)
+        assert np.allclose(lengths, 1.0, atol=1e-12)
+
+
+def test_endpoints_hit_the_bounds_exactly(shapes):
+    """linspace forces the last sample onto the bound; start + (n-1)*step can
+    miss it by an ulp, which is enough to move a fitted surface."""
+    face = _faces(shapes["cylinder"])[0]
+    n = 33
+    points, _normals, (umin, umax, vmin, vmax) = n3xd_ocp.sample.face_grid(face, n)
+    adaptor = BRepAdaptor_Surface(face)
+    for i, u in ((0, umin), (n - 1, umax)):
+        for j, v in ((0, vmin), (n - 1, vmax)):
+            expected = adaptor.Value(u, v)
+            assert points[i, j, 0] == expected.X()
+            assert points[i, j, 1] == expected.Y()
+            assert points[i, j, 2] == expected.Z()
+
+
+def test_single_sample_is_the_lower_bound(shapes):
+    face = _faces(shapes["box"])[0]
+    points, _normals, (umin, _umax, vmin, _vmax) = n3xd_ocp.sample.face_grid(face, 1)
+    assert points.shape == (1, 1, 3)
+    expected = BRepAdaptor_Surface(face).Value(umin, vmin)
+    assert points[0, 0, 0] == expected.X()
+
+
+def test_rejects_a_non_positive_grid(shapes):
+    with pytest.raises(ValueError):
+        n3xd_ocp.sample.face_grid(_faces(shapes["box"])[0], 0)
+
+
+def test_arrays_own_their_memory(shapes):
+    import gc
+
+    points, normals, _bounds = n3xd_ocp.sample.face_grid(
+        _faces(BRepPrimAPI_MakeBox(1.0, 2.0, 3.0).Shape())[0], 9
+    )
+    expected = float(points.sum())
+    gc.collect()
+    assert float(points.sum()) == expected
+    assert normals.base is not None  # the capsule, not the face