Compile one site policy and realize an owner-preserving mesh cohort.

Evaluate one closed width-one witness at a local width per vertex site.

width-function is called once for each canonical lattice vertex as (width-function X Y Z INCIDENT-STOCKS) where INCIDENT-STOCKS is a sorted, duplicate-free list of the packed stocks on witness triangles using that site. It must return an integer width from one through four.

Every witness vertex has the exact affine form 8*S + Q with Q in {-1,0,1}^3. The result replaces it by 8*S + width(S)*Q. Since every incident primitive uses the same canonical S, shared vertices remain equal without stitching. At the medial limit a witness triangle can collapse to three collinear points. The result contracts that triangle by splitting its surviving neighbour's long edge at the middle point, eliminating the otherwise visible T-junction without inventing a surface. witness remains the rebuild oracle for topology and uniform-width geometry. Transition triangles may leave the uniform mesher's 26 exact normal directions. The packed trit normal remains an orientation witness; fragment shading derives the actual primitive normal from world-space position derivatives, so the new directions are not lighting-quantized.

The second value is a five-entry site census indexed by width. The third is a diagnostic plist containing the collapsed-triangle, locally unmatched-edge, repaired-edge, and residual-edge counts. For the required closed width-one witness, only a collapse can change edge parity, so the queried local counts are the complete transition defect. This production entry point always contracts medial T-junctions; the deliberately open study surface has a separate diagnostic name.

Return the deliberately open pre-repair variable-width study surface.

Evaluate a closed width-one witness from an incident-stock mask policy.

stock-masks is indexed by packed triangle stock. The masks of every stock incident on a canonical vertex site are combined with LOGIOR, then that mask indexes site-widths. This is the dense production form of the generic callback contract: it preserves the same shared site field and the same realization and repair algorithm without constructing stock lists in the triangle loop.

Every referenced stock mask must be a positive fixnum bit mask, and each combined mask must be a valid site-widths index. Index zero is unused; every selected entry must be an integer width from one through four. This canonical entry point always repairs medial T-junctions.

Return the dense-policy variable-width study surface before repair.

Evaluate an owner-keyed width-one cohort from one shared stock-mask policy.

owner-witnesses is a nonempty alist of stable owner keys to width-one surface meshes in one world domain. The incident stock masks of every witness are compiled into one canonical site field; collapse discovery and T-junction repair likewise see the entire cohort. Each surviving source triangle and every repair child is emitted to the source triangle's original owner.

When output-owners is omitted, every witness owner is returned. When supplied, it is a nonempty subset of the witness keys. Every witness contributes to the shared site policy and repair plan. realize-context-owners may additionally select nonpublished owners whose transformed surface is needed by a cold query, such as an attachment frame whose canonical primitive belongs to a neighboring chunk. Context realization never expands the output publication set.

The first value is a fresh alist, in owner-witnesses order, containing only the selected owners. The second value is the shared five-entry site-width census. The third is the transition diagnostic plist; its residual count covers only collapse/repair neighborhoods relevant to the selected output interior. The fourth value is a fresh alist of realized context owners, also in witness order and excluding every selected output owner.