diff --git a/Makefile b/Makefile
index bd44e23..7accdf2 100644
--- a/Makefile
+++ b/Makefile
@@ -45,6 +45,7 @@ SERIAL_SOURCES := \
src/crosscheck/yang_zhang_witness.c \
src/solver/byte_support_table.c \
src/solver/failed_leaf_trace.c \
+ src/solver/solver_event_trace.c \
src/solver/solver_serial.c \
src/verify/verify_tiling.c \
src/io/json.c \
diff --git a/README.md b/README.md
index 2657bf2..e3c0989 100644
--- a/README.md
+++ b/README.md
@@ -74,6 +74,8 @@ solving remains future work.
| Square-to-hex presentation port | Implemented as a pure in-memory Basire/Culik mapping with a raster-independent checker; no hex solver, schema, or core model |
| Static explainability snapshots | Implemented for parsed formula, canonical tile sheet, and unassigned region, with hash-bound JSON contracts and square/hex diagnostic views |
| Reduction construction provenance | Implemented as a separate opt-in native-owned result with exact signal orders, swap-bound gadget spans, manifest v2, and a square overlay view; the compact standard ABI does not allocate it |
+| Native solver event trace | Implemented as separate opt-in reference/optimized entry points with bounded observed events, full initial state, checkpoints, manifest v3, independent offline replay, and deterministic PNG/GIF views |
+| Reproducible Z3 summaries | Implemented for fixed seed/thread settings and explicit Boolean/Wang encoding order, result/model, and stable project-owned counts; no internal Z3 trace claim |
| Native C JSON layer | Not implemented; `src/io/json.c` is a placeholder |
| `TaskPlan` and native OpenMP solver | Not implemented; only the build scaffold exists |
@@ -107,17 +109,19 @@ The implemented paths are:
| |
| v
native reference/ Wang Z3
- optimized solver |
- | v
- v Python tiling checker
- native verifier
- |
- copied tiling + Python checker
- |
- v
- wang-solution-v1 --> square PNG (default/explain)
- \
- +--> pure hex port/check --> hex PNG (--hex)
+ optimized solver | \
+ | | | +--> encoding-order summary
+ | +--> observed trace +--> PNG/GIF
+ | | v
+ v | Python tiling checker
+ native verifier v
+ | offline replay --> PNG/GIF
+ copied tiling + Python checker
+ |
+ v
+ wang-solution-v1 --> square PNG (default/explain)
+ \
+ +--> pure hex port/check --> hex PNG (--hex)
```
The witness bridge relates exact Boolean assignments to the variable cells of
@@ -153,11 +157,11 @@ diagram.
Planned work remains separated into independently reviewed changes. The new
priority is explainability across the deterministic pipeline:
-1. define bounded, deterministic event traces for native DFS and explicit
- encoding summaries for Z3, then render partial states by replay;
-2. publish a compact formula-to-final-image gallery and optional technical
+1. publish a compact formula-to-final-image gallery and optional technical
report from versioned examples;
-3. resume serial MRV and hard-UNSAT evidence before `TaskPlan` and OpenMP work.
+2. resume serial MRV and hard-UNSAT evidence;
+3. define `TaskPlan` only after the serial evidence, then implement and measure
+ real OpenMP execution.
The implementation follows a deliberately small design rule: each datum has one
owner, derived state is computed when needed, and future metadata is not added to
@@ -180,7 +184,7 @@ make check
The imported renderer remains a separate locked Python project. Its Pillow and
NumPy dependencies are not installed by the root project or exercised by
-`make check`. Run its 238-test combined suite independently:
+`make check`. Run its 253-test combined suite independently:
```sh
cd renderer
@@ -220,6 +224,28 @@ opt-in final explainability views.
The [reduction explanation contract](docs/wang_reduction_explanation.md)
defines native signal/gadget provenance, manifest v2, ownership, replay
invariants, and the square-only construction overlay.
+The [solver event trace contract](docs/wang_solver_trace.md) defines bounded
+native capture, manifest v3, semantic replay, checkpoints, truncation, and the
+presentation-only animation boundary.
+
+To export one observed reference run and render selected replay states:
+
+```sh
+make shared
+uv run python tools/export_solver_trace.py \
+ tests/instances/pipeline_sat.cm13 build/solver-trace/manifest.json \
+ --event-capacity 4096 --checkpoint-interval 128 --checkpoint-capacity 32
+cd renderer
+uv run --locked python wang_trace_render.py \
+ ../build/solver-trace/manifest.json ../build/solver-trace/rendered
+```
+
+The fixed-configuration Boolean and Wang Z3 summaries are exported separately:
+
+```sh
+uv run python tools/export_z3_encoding_summaries.py \
+ tests/instances/pipeline_sat.cm13 build/z3-summaries
+```
Useful individual targets:
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diff --git a/docs/development_principles.md b/docs/development_principles.md
index 5b6d419..ada185e 100644
--- a/docs/development_principles.md
+++ b/docs/development_principles.md
@@ -6,7 +6,7 @@ description: How Tiling Foundry separates source data, derived state, native lif
section: Architecture and correctness
document_kind: Architecture reference
status: Current implementation
-updated: 2026-08-25
+updated: 2026-08-27
nav_order: 10
---
@@ -88,16 +88,19 @@ A module is implemented when it has:
| `region` | Active cells and exposed boundary constraints | Solver domains and scheduling |
| `yang_zhang` | Reduction construction, transferred swap trace, and immutable signal/gadget provenance | Solver state and presentation metadata |
| `solver` | Domains, trail, assignments, and search state | Formula and reduction semantics |
+| `solver_trace` | Opt-in bounded semantic events, full initial state, checkpoints, and their owned lifetime | Solving policy, raster composition, and Z3 internals |
| `verify` | Stateless validation of a candidate tiling | Search logic and solver caches |
| `crosscheck` | Stateless Boolean/Wang witness translation over a live reduction | Generic solver internals, clause validity, and copied swap data |
| `task_plan` | Future derived scheduling data | `Region` or serial-solver ownership |
-| `python/model` | Pure immutable formula, region, tiling, and reduction-explanation contracts | I/O, ctypes, Z3, and native ownership |
-| `python/native` | C ABI adaptation, scoped native lifetimes, and complete copy-out | Solver logic and escaping native pointers |
+| `python/model` | Pure immutable formula, region, tiling, reduction-explanation, and solver-trace contracts | I/O, ctypes, Z3, and native ownership |
+| `python/native` | C ABI adaptation, scoped native lifetimes, and complete result/trace copy-out | Solver logic and escaping native pointers |
| `python/crosscheck` | Scoped composition of adapters, Z3, and independent checkers | Persistent native state and duplicated reduction semantics |
| `python/oracles` | Independent solvers and checkers over pure models | Parsing, filesystem I/O, and reduction construction |
-| `python/formats` | Solution, static-stage, and reduction-provenance validation and deterministic export | Native lifetimes, solving, and presentation |
+| `python/formats` | Solution, static-stage, reduction-provenance, observed-trace, and Z3 encoding-summary validation/export | Native lifetimes, solving, and presentation |
| `renderer/wang_hex_port.py` | Pure square-to-hex mapping, inverse checks, and matching-equivalence checks | Raster geometry, semantic verification, and solver access |
| `renderer/wang_snapshot.py` | Strict hash-bound formula, tile-sheet, region, and recorded reduction-provenance views | Native access, solving, and geometry reconstruction |
+| `renderer/wang_trace.py` | Strict hash-bound trace loading and independent ordered-delta replay | Native access, frame composition, and solving |
+| `renderer/wang_animation.py` | Deterministic atomic PNG, contact-sheet, and GIF encoding from already composed frames | State reconstruction and correctness claims |
| `renderer/wang_square.py` | One CLI for solution and static views, with square/default or hex/explicit rasterization | Semantic verification and solver access |
`include/wang/task_plan.h`, `src/parallel/solver_openmp.c`, and the two modules
@@ -107,10 +110,10 @@ the implemented solution contract and exporter are Python modules under
### Native and Python ownership flow
-The C parser and Yang–Zhang builder own native allocations. The adapters copy
-complete values into immutable Python `Formula`, `Region`,
-`ReductionExplanation`, tileset, and tiling models. No ctypes pointer reaches
-those models or their consumers.
+The C parser, Yang–Zhang builder, and opt-in traced solver calls own native
+allocations. The adapters copy complete values into immutable Python `Formula`,
+`Region`, `ReductionExplanation`, solver trace, tileset, and tiling models. No
+ctypes pointer reaches those models or their consumers.
```text
C parser + Yang–Zhang builder
@@ -129,9 +132,9 @@ those models or their consumers.
v v
Python oracles checkers / exporter --> Wang renderer
| \
- | +--> pure hex port/check
+ trace replay -+ +--> pure hex port/check
v |
- square PNG v
+ PNG/GIF views v
hex PNG
```
@@ -154,6 +157,13 @@ reverse-marshalled into `Cm13Formula` or `Region`.
and `native/solve_pipeline.py` supplies copied, independently checked native
tilings to producers without importing Z3.
+The trace coordinator similarly parses and reduces once, copies the ordinary
+result plus every semantic event and checkpoint before native destruction, and
+checks any SAT tiling independently. Its JSON producer reuses the existing
+formula, tileset, region, reduction, and solution formats. The renderer performs
+one offline replay and passes already composed frames to the shared image
+encoder; it never reconstructs solver state from pixels.
+
### Oracle and verifier contracts
| Component | Input | Result | Independence boundary |
@@ -168,6 +178,11 @@ For generic tilesets with duplicate edge tuples, Wang Z3 returns a valid
positional ID from the constraint-equivalent entries. Its public contract does
not choose one duplicate over another.
+Both Z3 encoders fix `random_seed=0`, `threads=1`, and their explicit constraint
+order. A closed summary records the locked Z3 version, result/model, and stable
+project-owned encoding counts. Raw Z3 statistics and internal debug/search
+order are deliberately outside the stable contract.
+
### Witness correspondence boundary
The witness bridge adds exact assignment extension and tiling extraction above
diff --git a/docs/serial_solver_implementation_guide.md b/docs/serial_solver_implementation_guide.md
index a645fcb..4c65724 100644
--- a/docs/serial_solver_implementation_guide.md
+++ b/docs/serial_solver_implementation_guide.md
@@ -6,7 +6,7 @@ description: Domain propagation, deterministic search, ownership, diagnostics, a
section: Architecture and correctness
document_kind: Technical reference
status: Current implementation
-updated: 2026-08-25
+updated: 2026-08-27
nav_order: 20
---
@@ -15,8 +15,17 @@ nav_order: 20
The native reference and optimized entry points share one Wang-search core and
the same public status, ownership, diagnostic, and initial-domain contracts.
This page describes that core, the independent verifier applied to every SAT
-result, and the optional failed-leaf diagnostics. Public headers and regression
-tests remain authoritative for exact ABI behavior.
+result, the optional semantic event trace, and the optional failed-leaf
+diagnostics. Public headers and regression tests remain authoritative for
+exact ABI behavior.
+
+
+
+
+
+
+ Observed state. An offline consumer replays selected events from one complete 2,896-event reference run; skipped visual frames do not imply skipped solver events. The static contact sheet shows every rendered frame.
+
## 1. Scope and dependency boundary
@@ -55,10 +64,12 @@ The relevant public boundaries are:
| `wang/region.h` | Validated dense row-major geometry and exposed boundary colors |
| `wang/verify.h` | Independent validation of a complete dense tiling |
| `wang/solver.h` | Domains, options, statuses, result ownership, metrics, and both solve entry points |
+| `wang/solver_trace.h` | Opt-in bounded semantic events, checkpoints, traced entry points, and trace ownership |
The implementation lives primarily in `src/verify/verify_tiling.c`,
`src/solver/solver_serial.c`, `src/solver/byte_support_table.c`, and
-`src/solver/failed_leaf_trace.c`. It has no mutable global search state.
+`src/solver/failed_leaf_trace.c`, and `src/solver/solver_event_trace.c`. It has
+no mutable global search state.
## 2. Independent tiling verifier
@@ -321,11 +332,12 @@ Only a `WANG_VERIFY_VALID` candidate is published. Rejection converts the
internal result to `WANG_SOLVE_ERROR` because it exposes a solver defect rather
than a valid UNSAT decision.
-Trace finalization is the last fallible operation before publication. After it
-succeeds, the reference path copies verified domains into a caller-owned
-snapshot. The optimized path transfers its verified private domain buffer and
-detaches it from private state. Any diagnostic best-leaf buffer accumulated
-during a satisfiable run remains private and is freed.
+Failed-leaf file finalization is the last fallible operation before ordinary
+result publication. After it succeeds, the reference path copies verified
+domains into a caller-owned snapshot. The optimized path transfers its
+verified private domain buffer and detaches it from private state. Any
+diagnostic best-leaf buffer accumulated during a satisfiable run remains
+private and is freed.
## 8. UNSAT selection and snapshot policy
@@ -366,9 +378,49 @@ Metrics-enabled runs are diagnostic work measurements, not timing samples.
Elapsed time and process peak RSS are measured by the benchmark harness outside
the solver result.
-## 10. Binary failed-leaf trace
-
-### 10.1 Semantics and format
+## 10. Opt-in semantic event trace
+
+`wang/solver_trace.h` adds traced reference and optimized entry points without
+changing `WangSolverOptions`, `WangSolveResult`, or either ordinary entry
+point. A caller supplies an event capacity of at least two and may additionally
+request bounded full-state checkpoints. Every allocation is performed before
+search begins. Disabled ordinary solving allocates no event or checkpoint
+storage and publishes the same status, witness, metrics, and ownership as
+before.
+
+The trace begins with the full dense domain state after root restriction and
+then records stable semantic events in observed order:
+
+1. `root` publishes the initial replay base;
+2. `domain_reduction` carries one exact old/new domain delta and its decision
+ or propagation reason;
+3. `propagation` marks the end of an initial or search propagation interval;
+4. `decision`, `conflict`, and `backtrack` expose DFS control points with depth
+ and trail change marks;
+5. `result` terminates the run with `SAT` or `UNSAT`.
+
+The recorder preserves a prefix and always reserves the final slot for
+`result`. If the prefix fills, `truncated` becomes true and the terminal
+sequence number exposes the number of omitted observed events; missing deltas
+are never invented. Checkpoints contain a full dense domain row after every
+configured interval while their independent capacity lasts. The replay model
+validates event shapes, monotone domain reductions, exact rollback marks,
+checkpoint equality, terminal status, and the complete SAT state when the
+trace is not truncated.
+
+`WangTracedSolveResult` jointly owns the ordinary result and trace storage.
+Publication is transactional: invalid options, allocation failure, internal
+recording failure, or rejected SAT verification leave a conforming output
+destroyed. The combined destructor is null-safe and idempotent. The JSON and
+raster consumers live downstream in Python and `renderer/`; neither is part of
+the solver, and the GIF is presentation rather than a correctness check.
+
+The closed transport is documented in the
+[solver event trace contract]({{ '/wang-solver-trace/' | relative_url }}).
+
+## 11. Binary failed-leaf trace
+
+### 11.1 Semantics and format
`WANG_SOLVE_TRACE_FAILED_LEAVES` writes every observed failed leaf up to
`failed_leaf_capacity`. The trace may contain records even when the final
@@ -404,7 +456,7 @@ record_size = align_up(raw_record_size, 8)
The writer uses explicit offsets and byte helpers, so the file format does not
depend on C struct padding or host `sizeof` results.
-### 10.2 Writer lifecycle and failure cleanup
+### 11.2 Writer lifecycle and failure cleanup
Checked arithmetic establishes the maximum mapping size before file creation.
The writer opens the path with `O_RDWR | O_CREAT | O_TRUNC`, expands it with
@@ -427,7 +479,7 @@ impossible record bound marks the writer failed, returns an internal
The writer is private to the serial solver module. It is not a general
serialization API and has no shared-writer or multithreaded contract.
-## 11. Error handling and lifetimes
+## 12. Error handling and lifetimes
Allocation sizes and dense products use checked arithmetic. Private state owns
domains, neighbor masks, byte-support tables, trail storage, queue storage,
@@ -441,7 +493,7 @@ keeps a conforming output destroyed on every error. Ownership transfer in the
optimized SAT path occurs immediately before private cleanup, preventing both
double frees and leaks on late failures.
-## 12. Verification evidence
+## 13. Verification evidence
The verifier regressions cover null and length errors, invalid or incomplete
tile IDs, inactive assignments, boundary mismatches in every direction,
@@ -465,12 +517,19 @@ magic and version fields, record geometry, exact final size, truncation at
capacity, readability after unmap/close, and unlinking after post-creation setup
or finalization failure.
+Semantic event-trace tests run the same SAT backtracking region through both
+ordinary and traced reference/optimized calls. They require identical statuses,
+witness bytes, and public metrics; deterministic event equality; independent
+replay of all seven event kinds; bounded-prefix terminal publication;
+checkpoint validation; root-conflict UNSAT; invalid-option rejection; and
+idempotent cleanup.
+
Yang–Zhang integration includes shared SAT and UNSAT fixtures, the documented
three-variable satisfying instance, a clause-row regression, and all 1,701
canonical formulas through three variables checked against the independent
Boolean oracle.
-## 13. Reproduction and profiling
+## 14. Reproduction and profiling
The standard local gates are:
@@ -488,7 +547,7 @@ attribution. Dated reports in the
[solver optimization section]({{ '/#solver-optimization' | relative_url }})
record the evidence for each retained optimized mechanism.
-## 14. Current guarantees and limits
+## 15. Current guarantees and limits
The implementation returns distinct SAT, UNSAT, and ERROR statuses; verifies
every SAT witness independently; returns dense domains for SAT and only for
@@ -497,7 +556,7 @@ without that allocation; and removes trace output after post-creation setup or
finalization failure. Private caches and optimized storage remain derived from
domains, geometry, and `TILESET` rather than becoming new constraint sources.
-The failed-leaf snapshot and trace are diagnostics, not formal UNSAT
-certificates. The implemented paths are serial. `TaskPlan`, OpenMP execution,
-clause learning, backjumping, persistent memoization, rendering, and JSON
-export remain outside this solver contract.
+The failed-leaf snapshot and both trace forms are diagnostics, not formal
+UNSAT certificates. The implemented paths are serial. `TaskPlan`, OpenMP
+execution, clause learning, backjumping, persistent memoization, rendering,
+and JSON export remain outside this solver contract.
diff --git a/docs/solver_byte_support_2026-08-20.md b/docs/solver_byte_support_2026-08-20.md
index 75ee9c1..00f958e 100644
--- a/docs/solver_byte_support_2026-08-20.md
+++ b/docs/solver_byte_support_2026-08-20.md
@@ -6,12 +6,20 @@ description: Evidence for aggregating Wang propagation support by domain byte.
section: Solver optimization
document_kind: Benchmark report
status: Accepted mechanism
-updated: 2026-08-20
+updated: 2026-08-27
nav_order: 60
---
# Optimized solver byte-wise support tables — 20 August 2026
+
+
+
+
+
+ Didactic replay. This shared animation locates byte-wise support aggregation among the five isolated mechanisms; the measurements below, not the animation, establish its effect. The static contact sheet shows all stages.
+
+
This report evaluates only the union of compatible neighbor tiles during
propagation. The reference path retains the baseline loop over every set tile
in the source domain. The optimized path splits the 23-bit domain into three
diff --git a/docs/solver_dynamic_stack_2026-08-17.md b/docs/solver_dynamic_stack_2026-08-17.md
index 807d49a..f033135 100644
--- a/docs/solver_dynamic_stack_2026-08-17.md
+++ b/docs/solver_dynamic_stack_2026-08-17.md
@@ -6,12 +6,20 @@ description: Evidence for the optimized solver's geometrically growing DFS stack
section: Solver optimization
document_kind: Benchmark report
status: Accepted mechanism
-updated: 2026-08-17
+updated: 2026-08-27
nav_order: 30
---
# Optimized solver dynamic DFS stack — 17 August 2026
+
+
+
+
+
+ Didactic replay. This shared animation locates the dynamic stack among the five isolated mechanisms; the measurements below, not the animation, establish its effect. The static contact sheet shows all stages.
+
+
This report evaluates only DFS stack storage. The reference path still
allocates one `SearchFrame` per active cell. The optimized path starts with at
most 16 frames, doubles geometrically, and clamps its final growth to the
diff --git a/docs/solver_initial_trail_2026-08-17.md b/docs/solver_initial_trail_2026-08-17.md
index d228c03..558b806 100644
--- a/docs/solver_initial_trail_2026-08-17.md
+++ b/docs/solver_initial_trail_2026-08-17.md
@@ -6,12 +6,20 @@ description: Evidence for omitting rollback entries during non-rollbackable init
section: Solver optimization
document_kind: Benchmark report
status: Accepted mechanism
-updated: 2026-08-17
+updated: 2026-08-27
nav_order: 40
---
# Optimized solver initial-trail removal — 17 August 2026
+
+
+
+
+
+ Didactic replay. This shared animation locates initial-trail omission among the five isolated mechanisms; the measurements below, not the animation, establish its effect. The static contact sheet shows all stages.
+
+
This report evaluates undo-trail recording during initial propagation. The
reference path keeps the baseline behavior. The optimized path applies the
same domain reductions but does not store their old values, because no
diff --git a/docs/solver_queue_dedup_2026-08-20.md b/docs/solver_queue_dedup_2026-08-20.md
index cbcde6b..13c9a90 100644
--- a/docs/solver_queue_dedup_2026-08-20.md
+++ b/docs/solver_queue_dedup_2026-08-20.md
@@ -6,12 +6,20 @@ description: Evidence for the optimized solver's packed pending-cell index.
section: Solver optimization
document_kind: Benchmark report
status: Accepted mechanism
-updated: 2026-08-20
+updated: 2026-08-27
nav_order: 80
---
# Optimized solver queue deduplication — 20 August 2026
+
+
+
+
+
+ Didactic replay. This shared animation locates queue deduplication among the five isolated mechanisms; the measurements below, not the animation, establish its effect. The static contact sheet shows all stages.
+
+
This accepted mechanism changes only the optimized propagation queue. An
enqueue request for a cell that already has an unconsumed FIFO occurrence is
counted but no longer appended. The reference path retains the original duplicate-accepting
diff --git a/docs/solver_sat_ownership_2026-08-20.md b/docs/solver_sat_ownership_2026-08-20.md
index b4d9bdc..cb84837 100644
--- a/docs/solver_sat_ownership_2026-08-20.md
+++ b/docs/solver_sat_ownership_2026-08-20.md
@@ -6,12 +6,20 @@ description: Evidence for transferring the verified SAT domain buffer without a
section: Solver optimization
document_kind: Benchmark report
status: Accepted mechanism
-updated: 2026-08-20
+updated: 2026-08-27
nav_order: 50
---
# Optimized solver SAT ownership transfer — 20 August 2026
+
+
+
+
+
+ Didactic replay. This shared animation locates SAT ownership transfer among the five isolated mechanisms; the measurements below, not the animation, establish its effect. The static contact sheet shows all stages.
+
+
This report evaluates only construction of a successful solver result. The
reference path retains the baseline behavior: after independent SAT
verification it ensures that a separate dense snapshot exists, allocating it
diff --git a/docs/wang_solver_trace.md b/docs/wang_solver_trace.md
new file mode 100644
index 0000000..5d9fd7c
--- /dev/null
+++ b/docs/wang_solver_trace.md
@@ -0,0 +1,163 @@
+---
+layout: page
+title: Native solver event trace and offline replay
+permalink: /wang-solver-trace/
+description: Bounded semantic events, full-state checkpoints, hash-bound transport, and presentation-only replay for native Wang solves.
+section: Architecture and correctness
+document_kind: Data and rendering contract
+status: Current implementation
+updated: 2026-08-27
+nav_order: 34
+---
+
+# Native solver event trace and offline replay
+
+The reference and optimized native solvers can emit an opt-in sequence of
+semantic search events. The sequence records what the selected solver path
+actually observed; it is not a reconstructed lesson, a profiler sample, or a
+claim about a different engine. Ordinary solve calls retain their original ABI
+and allocate no provenance storage.
+
+
+
+
+
+
+ Observed state. These frames are selected from one complete 2,896-event reference trace. The renderer replays the versioned deltas once; frame selection does not change their order. The static contact sheet shows all selected states.
+
+
+## Native boundary and ownership
+
+`wang/solver_trace.h` defines separate
+`wang_solve_serial_traced()` and `wang_solve_optimized_traced()` entry points.
+They call the same exact solver core and mechanism policies as the ordinary
+entry points. The caller supplies `WangSolveTraceOptions` and a destroyed
+`WangTracedSolveResult`; the combined result owns both the ordinary solve
+result and the trace allocations.
+
+The recorder allocates the initial dense state, bounded event array, and any
+bounded checkpoint rows before search. An event capacity of at least two
+reserves both the root and terminal result. Checkpoints are disabled as
+`0/0`; otherwise interval and capacity must both be positive. Validation or
+allocation failure transfers nothing. The combined destructor releases every
+owned array, resets the structure, accepts null, and is idempotent.
+
+No trace option or field is added to `WangSolverOptions` or `WangSolveResult`.
+The ordinary reference and optimized calls therefore preserve their status,
+dense witness, metrics, and ownership contracts without allocating trace
+state.
+
+### Disabled-path profile control
+
+A deterministic Cachegrind control compared the same metrics-enabled 4-by-4
+backtracking smoke against merge base `8616e31`, using GCC 14.2, portable
+`-O2`, and trace-disabled ordinary entry points. Search work and every public
+metric are exactly equal. The reference executable moved from 487,161 to
+490,563 instructions (+0.70%) and from 101,091 to 101,706 data references
+(+0.61%); optimized moved from 388,660 to 390,553 instructions (+0.49%) and
+from 116,401 to 116,766 data references (+0.31%). Cache-miss rates and hotspot
+order remain unchanged. The small dispatch cost is below one percent on this
+control and creates no allocation or new search work; it is recorded rather
+than presented as an exact zero-overhead claim.
+
+This is one instruction-profile control, not a timing benchmark or a universal
+performance bound. The full Cachegrind gate also covers the traced entry points
+and the complete native test suite.
+
+## Event semantics
+
+The immutable root state is the dense domain array after root restrictions and
+before arc propagation. Ordered events then carry only stable semantic facts:
+
+| Kind | Meaning |
+| --- | --- |
+| `root` | Establish the full replay base in the initial phase |
+| `domain_reduction` | Replace one exact old domain with a strict subset, caused by decision or propagation |
+| `propagation` | Mark the end of an initial or search propagation interval |
+| `decision` | Record the chosen cell and singleton candidate before its delta |
+| `conflict` | Identify an observed empty active-cell domain |
+| `backtrack` | Restore the ordered delta stack to an exact change mark |
+| `result` | Publish the terminal `sat` or `unsat` status |
+
+Every event has a complete-run sequence number, DFS depth, and change mark;
+fields that do not apply are null in JSON. Domains remain canonical 23-bit
+tile masks. The event order is deterministic for a fixed solver path and
+input, but reference and optimized traces are not required to be byte-equal to
+one another.
+
+When capacity is exhausted, the recorder freezes the contiguous prefix and
+retains the reserved terminal result. Its sequence number reveals the omitted
+event count and `truncated` is true. The state after the gap is intentionally
+unknown: replay returns the last reconstructable prefix state for the terminal
+frame and never invents the missing deltas.
+
+## Checkpoints and independent replay
+
+Each checkpoint contains the full dense state and change mark immediately
+after its configured event interval. Checkpoint capacity is independent from
+event capacity; `checkpoints_truncated` reports exhaustion. They provide
+bounded random-access anchors and, more importantly, independent replay
+assertions.
+
+The immutable Python model and the isolated renderer each validate the event
+grammar and replay the same semantic deltas without calling either solver.
+They reject widening or no-op reductions, an incorrect old domain, invalid
+cell indices, impossible rollback marks, mismatched checkpoint state, a
+misplaced terminal event, and a complete SAT state that disagrees with the
+hash-bound solution. This is validation of recorded consistency, not a second
+proof that the source decision is correct; native and Python tiling checkers
+retain that responsibility.
+
+## Closed transport and identity
+
+`wang-solver-trace-v1` is a closed square, row-major document with
+`semantics: observed`. It records the solver name, terminal status, formula,
+region and optional solution digests, layout, capacity metadata, full initial
+domains, events, and checkpoints.
+
+`wang-explain-manifest-v3` binds that trace to the existing versioned formula,
+tileset, region, reduction-provenance, and optional solution artifacts through
+their exact schemas, basenames, and SHA-256 digests. The manifest is installed
+atomically only after all content-addressed artifacts. A SAT trace requires a
+solution reference; an UNSAT trace forbids one.
+
+The committed example under `tests/fixtures/pipeline_sat_solver_trace/` comes
+from the reference solver on `tests/instances/pipeline_sat.cm13`. It is a
+complete 2,896-event run with an event capacity of 4,096 and 22 checkpoints at
+interval 128. It records 451 dense positions, 444 of them active.
+
+## Reproduction and presentation
+
+Build the shared library and export one observed run:
+
+```sh
+make shared
+uv run python tools/export_solver_trace.py \
+ tests/instances/pipeline_sat.cm13 \
+ build/solver-trace/manifest.json \
+ --solver reference \
+ --event-capacity 4096 \
+ --checkpoint-interval 128 \
+ --checkpoint-capacity 32
+```
+
+The isolated renderer consumes only the manifest and its JSON artifacts:
+
+```sh
+cd renderer
+uv run --locked python wang_trace_render.py \
+ ../build/solver-trace/manifest.json \
+ ../build/solver-trace/rendered
+```
+
+`wang_trace.py` owns strict loading and one semantic replay.
+`wang_trace_render.py` selects events and composes RGB frames.
+`wang_animation.py` writes those same frames as deterministic atomic PNGs, one
+contact sheet, and a presentation-only GIF. The renderer imports neither Z3
+nor native code, and successful raster output is never treated as correctness
+evidence.
+
+Z3 uses a different boundary. Its versioned summaries are explicitly labeled
+`encoding-order`, fix version, seed and thread count, and record the
+project-defined constraint order, returned result/model, and stable
+project-owned counts. They do not expose or infer Z3's internal search order.
diff --git a/docs/wang_square_to_hex.md b/docs/wang_square_to_hex.md
index e9e80d9..3e1c09e 100644
--- a/docs/wang_square_to_hex.md
+++ b/docs/wang_square_to_hex.md
@@ -6,7 +6,7 @@ description: Algebra, coordinate convention, inverse proof, and raster boundary
section: Architecture and correctness
document_kind: Technical reference
status: Current specification
-updated: 2026-08-26
+updated: 2026-08-27
nav_order: 32
---
@@ -34,6 +34,14 @@ The exact edge tuple, coordinate convention, deterministic fresh-color rule,
and finite-region bijection below are Tiling Foundry's formalization of that
construction. They are not attributed to either source's diagram notation.
+
+
+
+
+
+ Canonical example. The pure renderer-side port and its raster-independent checker produce this mapping; the animation itself is not a proof. The static contact sheet shows all four stages.
+
+
## Project convention
The source stores square edges as `(N,E,S,W)`. Its dense row-major coordinates
diff --git a/docs/wang_z3_edge_table_2026-08-24.md b/docs/wang_z3_edge_table_2026-08-24.md
index 75fb933..b66fab6 100644
--- a/docs/wang_z3_edge_table_2026-08-24.md
+++ b/docs/wang_z3_edge_table_2026-08-24.md
@@ -6,7 +6,7 @@ description: Constraint model, correctness evidence, and before/after smoke meas
section: Cross-engine benchmarks
document_kind: Oracle model report
status: Current implementation
-updated: 2026-08-24
+updated: 2026-08-27
nav_order: 30
---
@@ -25,6 +25,29 @@ public `solve_tiling()` result contract. `SAT`, `UNSAT`, `UNKNOWN`, dense
row-major witnesses, inactive cells, boundary colors, and generic tilesets are
preserved.
+
+
+
+
+
+ Encoding order. The frames replay the project-owned constraint construction and returned result; they do not claim to expose Z3's internal search or debug order. The static contact sheet shows all five stages.
+
+
+## Reproducible summary boundary
+
+Both project oracles construct their solver through one fixed configuration:
+Z3 version `5.1.0` in the committed example, `random_seed=0`, and `threads=1`.
+The closed `z3-encoding-summary-v1` documents label their semantics
+`encoding-order` and preserve source hashes, the result status, the returned
+assignment or dense Wang model, exact assertion order, and deterministic
+project-owned counts. The Wang example records 444 active cells, 944 edge
+terms, 832 shared internal edges, 23 unique tile tuples, and 556 assertions.
+
+Internal Z3 statistics are deliberately excluded because their values are not
+a stable replay contract, even across repeated solves in one process. No
+solver debug trace, branching order, propagation order, or proof trace is
+exported or inferred by the renderer.
+
## Constraint model
The preceding encoding created one integer tile-ID variable per active cell.
diff --git a/docs/yang_zhang_builder_design.md b/docs/yang_zhang_builder_design.md
index c9fde4d..8309720 100644
--- a/docs/yang_zhang_builder_design.md
+++ b/docs/yang_zhang_builder_design.md
@@ -44,6 +44,14 @@ Primary source:
Text parsing, solving, independent verification, scheduling, oracles, solution
transport, and rendering have separate contracts.
+
+
+
+
+
+ Canonical example. The frames reveal spans from the versioned native construction sidecar; they are not timestamps from an instrumented builder. The static contact sheet shows all six stages.
+
+
## 1. Module boundary
`yang_zhang` is a deterministic reduction builder:
diff --git a/include/wang/solver_trace.h b/include/wang/solver_trace.h
new file mode 100644
index 0000000..0a778a7
--- /dev/null
+++ b/include/wang/solver_trace.h
@@ -0,0 +1,122 @@
+#ifndef WANG_SOLVER_TRACE_H
+#define WANG_SOLVER_TRACE_H
+
+#include
+#include
+#include
+
+#include "wang/solver.h"
+
+/* Stable semantic events emitted by the opt-in native solver trace. */
+typedef enum {
+ WANG_TRACE_EVENT_ROOT,
+ WANG_TRACE_EVENT_PROPAGATION,
+ WANG_TRACE_EVENT_DECISION,
+ WANG_TRACE_EVENT_DOMAIN_REDUCTION,
+ WANG_TRACE_EVENT_CONFLICT,
+ WANG_TRACE_EVENT_BACKTRACK,
+ WANG_TRACE_EVENT_RESULT
+} WangSolveTraceEventKind;
+
+typedef enum {
+ WANG_TRACE_PHASE_NONE,
+ WANG_TRACE_PHASE_INITIAL,
+ WANG_TRACE_PHASE_SEARCH
+} WangSolveTracePhase;
+
+typedef enum {
+ WANG_TRACE_REASON_NONE,
+ WANG_TRACE_REASON_DECISION,
+ WANG_TRACE_REASON_PROPAGATION
+} WangSolveTraceReason;
+
+/*
+ * One observed solver event. sequence is the event's ordinal in the complete
+ * run, so the final result may follow a gap when the bounded prefix truncated.
+ * Non-applicable scalar fields use zero, SIZE_MAX, or WANG_SOLVE_ERROR as
+ * described by the event kind. Domains are canonical TILESET bitmasks.
+ */
+typedef struct {
+ uint64_t sequence;
+ WangSolveTraceEventKind kind;
+ WangSolveTracePhase phase;
+ WangSolveTraceReason reason;
+ size_t depth;
+ size_t cell_index;
+ size_t change_mark;
+ uint32_t old_domain;
+ uint32_t new_domain;
+ WangSolveStatus status;
+} WangSolveTraceEvent;
+
+/* Full state captured after one recorded event for bounded random access. */
+typedef struct {
+ uint64_t event_sequence;
+ size_t change_mark;
+} WangSolveTraceCheckpoint;
+
+typedef struct {
+ /* At least two slots: the root event and the reserved terminal result. */
+ size_t event_capacity;
+
+ /* Both zero disables checkpoints; otherwise both values must be positive. */
+ size_t checkpoint_interval;
+ size_t checkpoint_capacity;
+} WangSolveTraceOptions;
+
+/*
+ * Caller-owned immutable trace published only after a successful solve call.
+ * initial_domains is the full state after root-domain initialization and before
+ * arc propagation. Each checkpoint owns one dense domain_count-sized row in
+ * checkpoint_domains, parallel to checkpoints.
+ */
+typedef struct {
+ uint32_t *initial_domains;
+ size_t domain_count;
+
+ WangSolveTraceEvent *events;
+ size_t event_count;
+ uint64_t observed_event_count;
+ size_t event_capacity;
+ bool truncated;
+
+ WangSolveTraceCheckpoint *checkpoints;
+ uint32_t *checkpoint_domains;
+ size_t checkpoint_count;
+ size_t checkpoint_interval;
+ size_t checkpoint_capacity;
+ bool checkpoints_truncated;
+} WangSolveTrace;
+
+/* One joint lifetime for the ordinary solve result and its opt-in trace. */
+typedef struct {
+ WangSolveResult solve;
+ WangSolveTrace trace;
+} WangTracedSolveResult;
+
+/*
+ * Traced entry points share the exact solver implementations used by the
+ * standard functions. solver_options may be NULL. trace_options is required.
+ * out_result must be zero-initialized or destroyed. ERROR is transactional.
+ */
+WangSolveStatus wang_solve_serial_traced(
+ const Region *region,
+ const WangSolverOptions *solver_options,
+ const WangSolveTraceOptions *trace_options,
+ WangTracedSolveResult *out_result
+);
+
+WangSolveStatus wang_solve_optimized_traced(
+ const Region *region,
+ const WangSolverOptions *solver_options,
+ const WangSolveTraceOptions *trace_options,
+ WangTracedSolveResult *out_result
+);
+
+/* Release every owned trace allocation and reset all fields. Accepts NULL. */
+void wang_solve_trace_destroy(WangSolveTrace *trace);
+
+/* Release solve and trace storage and reset all fields. Accepts NULL. */
+void wang_traced_solve_result_destroy(WangTracedSolveResult *result);
+
+#endif /* WANG_SOLVER_TRACE_H */
diff --git a/python/formats/solver_trace_snapshot.py b/python/formats/solver_trace_snapshot.py
new file mode 100644
index 0000000..80cf0d0
--- /dev/null
+++ b/python/formats/solver_trace_snapshot.py
@@ -0,0 +1,721 @@
+"""Closed, hash-bound snapshots for one observed native solver run.
+
+This producer owns the v1 semantic trace document and the v3 explainability
+manifest. It deliberately reuses the existing formula, tileset, region,
+reduction, and SAT-solution emitters instead of creating parallel formats.
+"""
+
+from __future__ import annotations
+
+import hashlib
+from pathlib import Path
+from typing import Final
+
+from formats.pipeline_snapshot import (
+ FORMULA_SCHEMA,
+ REDUCTION_SCHEMA,
+ REGION_SCHEMA,
+ TILESET_SCHEMA,
+ PipelineSnapshotError,
+ _encode_document,
+ _load_json_bytes,
+ _require_artifact_name,
+ _require_array,
+ _require_exact_fields,
+ _require_integer,
+ _require_literal,
+ _require_object,
+ _require_sha256,
+ _require_string,
+ _validate_base_bundle_identity,
+ _validate_reduction_bundle_identity,
+ _validate_reference,
+ _write_atomic,
+ build_formula_snapshot,
+ build_reduction_explanation_snapshot,
+ build_region_snapshot,
+ build_tileset_snapshot,
+ validate_formula_snapshot,
+ validate_reduction_explanation_snapshot,
+ validate_region_snapshot,
+ validate_tileset_snapshot,
+)
+from formats.wang_solution import SCHEMA_NAME as SOLUTION_SCHEMA
+from formats.wang_solution import validate_wang_solution
+from formats.wang_solution_export import build_wang_solution
+from model.formula import Formula
+from model.reduction_explanation import ReductionExplanation
+from model.region import Region
+from model.solver_trace import (
+ SOLVERS,
+ TRACE_KINDS,
+ TRACE_PHASES,
+ TRACE_REASONS,
+ SolverTrace,
+ SolverTraceCheckpoint,
+ SolverTraceEvent,
+ replay_solver_trace,
+)
+from model.tiling import TilingSolveResult, TilingSolveStatus
+
+
+TRACE_SCHEMA: Final = "wang-solver-trace-v1"
+TRACE_MANIFEST_SCHEMA: Final = "wang-explain-manifest-v3"
+TRACE_STAGE: Final = "solver-trace"
+TRACE_SEMANTICS: Final = "observed"
+GEOMETRY: Final = "square"
+INDEXING: Final = "row-major"
+TILE_COUNT: Final = 23
+_STATUSES: Final = frozenset({"sat", "unsat"})
+_EVENT_FIELDS: Final = frozenset(
+ {
+ "sequence",
+ "kind",
+ "phase",
+ "reason",
+ "depth",
+ "cell",
+ "change_mark",
+ "old_domain",
+ "new_domain",
+ "status",
+ }
+)
+
+
+def _require_optional_string(value: object, path: str) -> str | None:
+ if value is None:
+ return None
+ return _require_string(value, path)
+
+
+def _require_optional_integer(value: object, path: str) -> int | None:
+ if value is None:
+ return None
+ return _require_integer(value, path, nonnegative=True)
+
+
+def _require_boolean(value: object, path: str) -> bool:
+ if type(value) is not bool:
+ raise PipelineSnapshotError(f"{path}: must be a boolean")
+ return value
+
+
+def _require_status(value: object, path: str) -> str:
+ status = _require_string(value, path)
+ if status not in _STATUSES:
+ raise PipelineSnapshotError(f"{path}: must equal 'sat' or 'unsat'")
+ return status
+
+
+def _status_model(value: str) -> TilingSolveStatus:
+ return (
+ TilingSolveStatus.SAT
+ if value == "sat"
+ else TilingSolveStatus.UNSAT
+ )
+
+
+def _event_from_document(value: object, path: str) -> SolverTraceEvent:
+ event = _require_object(value, path)
+ _require_exact_fields(event, _EVENT_FIELDS, path)
+ kind = _require_string(event["kind"], f"{path}.kind")
+ if kind not in TRACE_KINDS:
+ raise PipelineSnapshotError(f"{path}.kind: is not a trace event kind")
+ phase = _require_optional_string(event["phase"], f"{path}.phase")
+ if phase is not None and phase not in TRACE_PHASES:
+ raise PipelineSnapshotError(f"{path}.phase: is not a trace phase")
+ reason = _require_optional_string(event["reason"], f"{path}.reason")
+ if reason is not None and reason not in TRACE_REASONS:
+ raise PipelineSnapshotError(f"{path}.reason: is not a trace reason")
+ status_value = _require_optional_string(event["status"], f"{path}.status")
+ if status_value is not None:
+ status_value = _require_status(status_value, f"{path}.status")
+ try:
+ return SolverTraceEvent(
+ sequence=_require_integer(
+ event["sequence"], f"{path}.sequence", nonnegative=True
+ ),
+ kind=kind,
+ phase=phase,
+ reason=reason,
+ depth=_require_integer(
+ event["depth"], f"{path}.depth", nonnegative=True
+ ),
+ cell=_require_optional_integer(event["cell"], f"{path}.cell"),
+ change_mark=_require_integer(
+ event["change_mark"],
+ f"{path}.change_mark",
+ nonnegative=True,
+ ),
+ old_domain=_require_optional_integer(
+ event["old_domain"], f"{path}.old_domain"
+ ),
+ new_domain=_require_optional_integer(
+ event["new_domain"], f"{path}.new_domain"
+ ),
+ status=(
+ None if status_value is None else _status_model(status_value)
+ ),
+ )
+ except (TypeError, ValueError) as error:
+ raise PipelineSnapshotError(f"{path}: {error}") from error
+
+
+def trace_from_document(document: object) -> SolverTrace:
+ """Validate and project a trace JSON document to its immutable model."""
+ root = _require_object(document, "$")
+ _require_exact_fields(
+ root,
+ frozenset(
+ {
+ "schema",
+ "semantics",
+ "solver",
+ "status",
+ "geometry",
+ "source_formula_sha256",
+ "region_sha256",
+ "solution_sha256",
+ "layout",
+ "capacity",
+ "initial_domains",
+ "events",
+ "checkpoints",
+ }
+ ),
+ "$",
+ )
+ _require_literal(root["schema"], TRACE_SCHEMA, "$.schema")
+ _require_literal(root["semantics"], TRACE_SEMANTICS, "$.semantics")
+ _require_literal(root["geometry"], GEOMETRY, "$.geometry")
+ _require_sha256(root["source_formula_sha256"], "$.source_formula_sha256")
+ _require_sha256(root["region_sha256"], "$.region_sha256")
+ if root["solution_sha256"] is not None:
+ _require_sha256(root["solution_sha256"], "$.solution_sha256")
+ solver = _require_string(root["solver"], "$.solver")
+ if solver not in SOLVERS:
+ raise PipelineSnapshotError("$.solver: is not a supported native solver")
+ status_value = _require_status(root["status"], "$.status")
+
+ layout = _require_object(root["layout"], "$.layout")
+ _require_exact_fields(
+ layout,
+ frozenset({"width", "height", "tile_count", "indexing"}),
+ "$.layout",
+ )
+ width = _require_integer(layout["width"], "$.layout.width", nonnegative=True)
+ height = _require_integer(
+ layout["height"], "$.layout.height", nonnegative=True
+ )
+ if width == 0 or height == 0:
+ raise PipelineSnapshotError("$.layout: dimensions must be positive")
+ if _require_integer(
+ layout["tile_count"], "$.layout.tile_count", nonnegative=True
+ ) != TILE_COUNT:
+ raise PipelineSnapshotError(
+ f"$.layout.tile_count: must equal {TILE_COUNT}"
+ )
+ _require_literal(layout["indexing"], INDEXING, "$.layout.indexing")
+
+ capacity = _require_object(root["capacity"], "$.capacity")
+ _require_exact_fields(
+ capacity,
+ frozenset(
+ {
+ "event_capacity",
+ "observed_event_count",
+ "truncated",
+ "checkpoint_interval",
+ "checkpoint_capacity",
+ "checkpoints_truncated",
+ }
+ ),
+ "$.capacity",
+ )
+ initial = tuple(
+ _require_integer(item, f"$.initial_domains[{index}]", nonnegative=True)
+ for index, item in enumerate(
+ _require_array(root["initial_domains"], "$.initial_domains")
+ )
+ )
+ events = tuple(
+ _event_from_document(item, f"$.events[{index}]")
+ for index, item in enumerate(_require_array(root["events"], "$.events"))
+ )
+ checkpoints: list[SolverTraceCheckpoint] = []
+ for index, raw_checkpoint in enumerate(
+ _require_array(root["checkpoints"], "$.checkpoints")
+ ):
+ path = f"$.checkpoints[{index}]"
+ checkpoint = _require_object(raw_checkpoint, path)
+ _require_exact_fields(
+ checkpoint,
+ frozenset({"event_sequence", "change_mark", "domains"}),
+ path,
+ )
+ try:
+ checkpoints.append(
+ SolverTraceCheckpoint(
+ event_sequence=_require_integer(
+ checkpoint["event_sequence"],
+ f"{path}.event_sequence",
+ nonnegative=True,
+ ),
+ change_mark=_require_integer(
+ checkpoint["change_mark"],
+ f"{path}.change_mark",
+ nonnegative=True,
+ ),
+ domains=tuple(
+ _require_integer(
+ item,
+ f"{path}.domains[{domain_index}]",
+ nonnegative=True,
+ )
+ for domain_index, item in enumerate(
+ _require_array(checkpoint["domains"], f"{path}.domains")
+ )
+ ),
+ )
+ )
+ except (TypeError, ValueError) as error:
+ raise PipelineSnapshotError(f"{path}: {error}") from error
+
+ try:
+ trace = SolverTrace(
+ solver=solver,
+ status=_status_model(status_value),
+ width=width,
+ height=height,
+ initial_domains=initial,
+ events=events,
+ observed_event_count=_require_integer(
+ capacity["observed_event_count"],
+ "$.capacity.observed_event_count",
+ nonnegative=True,
+ ),
+ event_capacity=_require_integer(
+ capacity["event_capacity"],
+ "$.capacity.event_capacity",
+ nonnegative=True,
+ ),
+ truncated=_require_boolean(
+ capacity["truncated"], "$.capacity.truncated"
+ ),
+ checkpoints=tuple(checkpoints),
+ checkpoint_interval=_require_integer(
+ capacity["checkpoint_interval"],
+ "$.capacity.checkpoint_interval",
+ nonnegative=True,
+ ),
+ checkpoint_capacity=_require_integer(
+ capacity["checkpoint_capacity"],
+ "$.capacity.checkpoint_capacity",
+ nonnegative=True,
+ ),
+ checkpoints_truncated=_require_boolean(
+ capacity["checkpoints_truncated"],
+ "$.capacity.checkpoints_truncated",
+ ),
+ )
+ except (TypeError, ValueError) as error:
+ raise PipelineSnapshotError(f"$: {error}") from error
+
+ expected_sequences = tuple(
+ trace.checkpoint_interval * (index + 1) - 1
+ for index in range(len(trace.checkpoints))
+ )
+ if tuple(item.event_sequence for item in trace.checkpoints) != expected_sequences:
+ raise PipelineSnapshotError(
+ "$.checkpoints: event sequences do not follow checkpoint_interval"
+ )
+ return trace
+
+
+def validate_solver_trace_snapshot(document: object) -> None:
+ """Validate the closed v1 trace syntax and replay semantics."""
+ trace_from_document(document)
+
+
+def build_solver_trace_snapshot(
+ trace: SolverTrace,
+ *,
+ source_formula_sha256: str,
+ region_sha256: str,
+ solution_sha256: str | None,
+) -> dict[str, object]:
+ """Build one presentation-neutral observed trace document."""
+ if not isinstance(trace, SolverTrace):
+ raise TypeError("trace must be a SolverTrace")
+ _require_sha256(source_formula_sha256, "source_formula_sha256")
+ _require_sha256(region_sha256, "region_sha256")
+ if solution_sha256 is not None:
+ _require_sha256(solution_sha256, "solution_sha256")
+ if (trace.status is TilingSolveStatus.SAT) != (solution_sha256 is not None):
+ raise PipelineSnapshotError(
+ "SAT traces require a solution digest and UNSAT traces forbid one"
+ )
+
+ document: dict[str, object] = {
+ "schema": TRACE_SCHEMA,
+ "semantics": TRACE_SEMANTICS,
+ "solver": trace.solver,
+ "status": trace.status.value,
+ "geometry": GEOMETRY,
+ "source_formula_sha256": source_formula_sha256,
+ "region_sha256": region_sha256,
+ "solution_sha256": solution_sha256,
+ "layout": {
+ "width": trace.width,
+ "height": trace.height,
+ "tile_count": TILE_COUNT,
+ "indexing": INDEXING,
+ },
+ "capacity": {
+ "event_capacity": trace.event_capacity,
+ "observed_event_count": trace.observed_event_count,
+ "truncated": trace.truncated,
+ "checkpoint_interval": trace.checkpoint_interval,
+ "checkpoint_capacity": trace.checkpoint_capacity,
+ "checkpoints_truncated": trace.checkpoints_truncated,
+ },
+ "initial_domains": list(trace.initial_domains),
+ "events": [
+ {
+ "sequence": event.sequence,
+ "kind": event.kind,
+ "phase": event.phase,
+ "reason": event.reason,
+ "depth": event.depth,
+ "cell": event.cell,
+ "change_mark": event.change_mark,
+ "old_domain": event.old_domain,
+ "new_domain": event.new_domain,
+ "status": None if event.status is None else event.status.value,
+ }
+ for event in trace.events
+ ],
+ "checkpoints": [
+ {
+ "event_sequence": checkpoint.event_sequence,
+ "change_mark": checkpoint.change_mark,
+ "domains": list(checkpoint.domains),
+ }
+ for checkpoint in trace.checkpoints
+ ],
+ }
+ validate_solver_trace_snapshot(document)
+ return document
+
+
+def _validate_trace_region_state(
+ trace: SolverTrace,
+ region_document: dict[str, object],
+) -> None:
+ active_raw = _require_array(region_document["active"], "region.active")
+ active = tuple(value is True for value in active_raw)
+ if len(active) != len(trace.initial_domains):
+ raise PipelineSnapshotError(
+ "trace.initial_domains: length does not match region active mask"
+ )
+ for index, is_active in enumerate(active):
+ if not is_active and trace.initial_domains[index] != 0:
+ raise PipelineSnapshotError(
+ f"trace.initial_domains[{index}]: inactive cell must be zero"
+ )
+ for checkpoint_index, checkpoint in enumerate(trace.checkpoints):
+ for cell, is_active in enumerate(active):
+ if not is_active and checkpoint.domains[cell] != 0:
+ raise PipelineSnapshotError(
+ "trace.checkpoints"
+ f"[{checkpoint_index}].domains[{cell}]: inactive cell must be zero"
+ )
+ for event_index, event in enumerate(trace.events):
+ if event.cell is not None:
+ if event.cell >= len(active):
+ raise PipelineSnapshotError(
+ f"trace.events[{event_index}].cell: lies outside region"
+ )
+ if not active[event.cell]:
+ raise PipelineSnapshotError(
+ f"trace.events[{event_index}].cell: must identify an active cell"
+ )
+
+
+def validate_solver_trace_manifest(document: object) -> None:
+ """Validate the v3 manifest without reading referenced artifacts."""
+ root = _require_object(document, "$")
+ _require_exact_fields(
+ root,
+ frozenset({"schema", "stage", "source_formula_sha256", "artifacts"}),
+ "$",
+ )
+ _require_literal(root["schema"], TRACE_MANIFEST_SCHEMA, "$.schema")
+ _require_literal(root["stage"], TRACE_STAGE, "$.stage")
+ _require_sha256(root["source_formula_sha256"], "$.source_formula_sha256")
+ artifacts = _require_object(root["artifacts"], "$.artifacts")
+ _require_exact_fields(
+ artifacts,
+ frozenset(
+ {"formula", "tileset", "region", "reduction", "trace", "solution"}
+ ),
+ "$.artifacts",
+ )
+ for name, schema in (
+ ("formula", FORMULA_SCHEMA),
+ ("tileset", TILESET_SCHEMA),
+ ("region", REGION_SCHEMA),
+ ("reduction", REDUCTION_SCHEMA),
+ ("trace", TRACE_SCHEMA),
+ ):
+ _validate_reference(
+ artifacts[name], f"$.artifacts.{name}", expected_schema=schema
+ )
+ if artifacts["solution"] is not None:
+ _validate_reference(
+ artifacts["solution"],
+ "$.artifacts.solution",
+ expected_schema=SOLUTION_SCHEMA,
+ )
+
+
+def _reference(
+ directory: Path,
+ name: str,
+ schema: str,
+ document: dict[str, object],
+ *,
+ manifest_name: str,
+) -> tuple[dict[str, object], str]:
+ encoded = _encode_document(document)
+ digest = hashlib.sha256(encoded).hexdigest()
+ artifact_name = f"{name}-{digest}.json"
+ _require_artifact_name(artifact_name, f"{name} artifact")
+ if artifact_name == manifest_name:
+ raise PipelineSnapshotError(
+ f"manifest filename collides with generated artifact {artifact_name}"
+ )
+ _write_atomic(directory / artifact_name, encoded)
+ return (
+ {"path": artifact_name, "sha256": digest, "schema": schema},
+ digest,
+ )
+
+
+def _read_referenced(
+ manifest_path: Path,
+ manifest: dict[str, object],
+) -> tuple[dict[str, dict[str, object]], dict[str, str]]:
+ artifacts = _require_object(manifest["artifacts"], "$.artifacts")
+ schemas = {
+ "formula": FORMULA_SCHEMA,
+ "tileset": TILESET_SCHEMA,
+ "region": REGION_SCHEMA,
+ "reduction": REDUCTION_SCHEMA,
+ "trace": TRACE_SCHEMA,
+ "solution": SOLUTION_SCHEMA,
+ }
+ documents: dict[str, dict[str, object]] = {}
+ digests: dict[str, str] = {}
+ for name, schema in schemas.items():
+ if artifacts[name] is None:
+ continue
+ reference = _require_object(artifacts[name], f"$.artifacts.{name}")
+ artifact_name, expected_digest = _validate_reference(
+ reference,
+ f"$.artifacts.{name}",
+ expected_schema=schema,
+ )
+ artifact_path = manifest_path.parent / artifact_name
+ try:
+ encoded = artifact_path.read_bytes()
+ except OSError as error:
+ raise PipelineSnapshotError(
+ f"cannot read {name} artifact {artifact_path!s}: {error}"
+ ) from error
+ if hashlib.sha256(encoded).hexdigest() != expected_digest:
+ raise PipelineSnapshotError(
+ f"$.artifacts.{name}.sha256: does not match {artifact_name}"
+ )
+ document = _load_json_bytes(encoded, str(artifact_path))
+ if document.get("schema") != schema:
+ raise PipelineSnapshotError(
+ f"$.artifacts.{name}.schema: does not match artifact"
+ )
+ documents[name] = document
+ digests[name] = expected_digest
+ return documents, digests
+
+
+def load_solver_trace_bundle(
+ manifest_path: str | Path,
+) -> tuple[dict[str, object], dict[str, dict[str, object]]]:
+ """Load and cross-check every v3 artifact, including semantic replay."""
+ path = Path(manifest_path)
+ try:
+ manifest = _load_json_bytes(path.read_bytes(), str(path))
+ except OSError as error:
+ raise PipelineSnapshotError(f"cannot read manifest {path!s}: {error}") from error
+ validate_solver_trace_manifest(manifest)
+ documents, digests = _read_referenced(path, manifest)
+ validate_formula_snapshot(documents["formula"])
+ validate_tileset_snapshot(documents["tileset"])
+ validate_region_snapshot(documents["region"])
+ validate_reduction_explanation_snapshot(documents["reduction"])
+ trace = trace_from_document(documents["trace"])
+ _validate_trace_region_state(trace, documents["region"])
+ if "solution" in documents:
+ validate_wang_solution(documents["solution"])
+
+ source_digest = _validate_base_bundle_identity(manifest, documents)
+ _validate_reduction_bundle_identity(manifest, documents, source_digest)
+ trace_document = documents["trace"]
+ if trace_document["source_formula_sha256"] != source_digest:
+ raise PipelineSnapshotError(
+ "trace.source_formula_sha256: does not match formula"
+ )
+ if trace_document["region_sha256"] != digests["region"]:
+ raise PipelineSnapshotError("trace.region_sha256: does not match region")
+ solution_reference = _require_object(manifest["artifacts"], "$.artifacts")[
+ "solution"
+ ]
+ if solution_reference is None:
+ if trace.status is not TilingSolveStatus.UNSAT:
+ raise PipelineSnapshotError("SAT trace requires a solution artifact")
+ if trace_document["solution_sha256"] is not None:
+ raise PipelineSnapshotError("UNSAT trace forbids a solution digest")
+ else:
+ if trace.status is not TilingSolveStatus.SAT:
+ raise PipelineSnapshotError("UNSAT trace forbids a solution artifact")
+ if trace_document["solution_sha256"] != digests["solution"]:
+ raise PipelineSnapshotError(
+ "trace.solution_sha256: does not match solution artifact"
+ )
+ solution = documents["solution"]
+ bounds = _require_object(solution["bounds"], "solution.bounds")
+ width = bounds["max_x_inclusive"] - bounds["min_x_inclusive"] + 1
+ height = bounds["max_y_inclusive"] - bounds["min_y_inclusive"] + 1
+ if (trace.width, trace.height) != (width, height):
+ raise PipelineSnapshotError("trace layout does not match solution")
+ if not trace.truncated:
+ expected = tuple(
+ 0 if tile_id is None else 1 << tile_id
+ for tile_id in _require_array(solution["cells"], "solution.cells")
+ )
+ if replay_solver_trace(trace)[-1] != expected:
+ raise PipelineSnapshotError(
+ "complete trace does not replay to the bound solution"
+ )
+ return manifest, documents
+
+
+def dump_solver_trace_bundle(
+ manifest_path: str | Path,
+ source_path: str | Path,
+ formula: Formula,
+ region: Region,
+ explanation: ReductionExplanation,
+ result: TilingSolveResult,
+ trace: SolverTrace,
+ *,
+ origin: tuple[int, int] = (0, 0),
+) -> Path:
+ """Write content-addressed artifacts, then atomically install v3."""
+ destination = Path(manifest_path)
+ source = Path(source_path)
+ try:
+ source_digest = hashlib.sha256(source.read_bytes()).hexdigest()
+ except OSError as error:
+ raise PipelineSnapshotError(
+ f"cannot read formula source {source!s}: {error}"
+ ) from error
+ if (trace.width, trace.height) != (region.width, region.height):
+ raise PipelineSnapshotError("trace dimensions do not match region")
+ if trace.status is not result.status:
+ raise PipelineSnapshotError("trace status does not match solve result")
+
+ documents: dict[str, tuple[str, dict[str, object]]] = {
+ "formula": (
+ FORMULA_SCHEMA,
+ build_formula_snapshot(
+ formula,
+ source_name=source.name,
+ source_sha256=source_digest,
+ ),
+ ),
+ "tileset": (TILESET_SCHEMA, build_tileset_snapshot()),
+ "region": (
+ REGION_SCHEMA,
+ build_region_snapshot(
+ region,
+ source_formula_sha256=source_digest,
+ origin=origin,
+ ),
+ ),
+ }
+ references: dict[str, object] = {}
+ digests: dict[str, str] = {}
+ for name, (schema, document) in documents.items():
+ references[name], digests[name] = _reference(
+ destination.parent,
+ name,
+ schema,
+ document,
+ manifest_name=destination.name,
+ )
+
+ reduction_document = build_reduction_explanation_snapshot(
+ explanation,
+ source_formula_sha256=source_digest,
+ region_sha256=digests["region"],
+ )
+ references["reduction"], digests["reduction"] = _reference(
+ destination.parent,
+ "reduction",
+ REDUCTION_SCHEMA,
+ reduction_document,
+ manifest_name=destination.name,
+ )
+
+ solution_digest: str | None = None
+ if result.status is TilingSolveStatus.SAT:
+ solution_document = build_wang_solution(
+ region,
+ result,
+ origin=origin,
+ metadata={"solver": trace.solver, "semantics": TRACE_SEMANTICS},
+ )
+ references["solution"], solution_digest = _reference(
+ destination.parent,
+ "solution",
+ SOLUTION_SCHEMA,
+ solution_document,
+ manifest_name=destination.name,
+ )
+ else:
+ references["solution"] = None
+
+ trace_document = build_solver_trace_snapshot(
+ trace,
+ source_formula_sha256=source_digest,
+ region_sha256=digests["region"],
+ solution_sha256=solution_digest,
+ )
+ references["trace"], _ = _reference(
+ destination.parent,
+ "trace",
+ TRACE_SCHEMA,
+ trace_document,
+ manifest_name=destination.name,
+ )
+ manifest: dict[str, object] = {
+ "schema": TRACE_MANIFEST_SCHEMA,
+ "stage": TRACE_STAGE,
+ "source_formula_sha256": source_digest,
+ "artifacts": references,
+ }
+ validate_solver_trace_manifest(manifest)
+ _write_atomic(destination, _encode_document(manifest))
+ load_solver_trace_bundle(destination)
+ return destination
diff --git a/python/formats/z3_encoding_summary.py b/python/formats/z3_encoding_summary.py
new file mode 100644
index 0000000..bd160a0
--- /dev/null
+++ b/python/formats/z3_encoding_summary.py
@@ -0,0 +1,400 @@
+"""Closed summaries of the project-owned Z3 encoding order and one result."""
+
+from __future__ import annotations
+
+from typing import Final
+
+from z3 import is_true, sat, unsat
+
+from formats.pipeline_snapshot import (
+ PipelineSnapshotError,
+ _require_array,
+ _require_exact_fields,
+ _require_integer,
+ _require_literal,
+ _require_object,
+ _require_sha256,
+ _require_string,
+)
+from model.formula import Formula
+from model.region import Region
+from model.tileset import COLOR_NONE, TILESET
+from oracles.boolean_solver import _encode_boolean
+from oracles.tiling_solver import _encode_tiling
+from oracles.z3_config import Z3_RANDOM_SEED, Z3_THREADS, z3_configuration
+
+
+SCHEMA_NAME: Final = "z3-encoding-summary-v1"
+SEMANTICS: Final = "encoding-order"
+BOOLEAN_ENGINE: Final = "boolean-z3"
+WANG_ENGINE: Final = "wang-z3"
+ENGINES: Final = frozenset({BOOLEAN_ENGINE, WANG_ENGINE})
+STATUSES: Final = frozenset({"sat", "unsat", "unknown"})
+WANG_TILE_COUNT: Final = len(TILESET)
+BOOLEAN_ORDER: Final = (
+ "variables:ascending-id",
+ "clauses:source-order",
+ "clause-positions:left-to-right",
+)
+WANG_ORDER: Final = (
+ "cells:row-major",
+ "directions:N,E,S,W",
+ "tile-tuples:first-positional-id",
+ "cell-relation-before-boundary",
+ "boundary-directions:N,E,S,W",
+)
+def _fail(path: str, message: str) -> None:
+ raise PipelineSnapshotError(f"{path}: {message}")
+
+
+def _require_nullable_sha256(value: object, path: str) -> str | None:
+ if value is None:
+ return None
+ return _require_sha256(value, path)
+
+
+def _status_name(status: object) -> str:
+ if status == sat:
+ return "sat"
+ if status == unsat:
+ return "unsat"
+ return "unknown"
+
+
+def validate_z3_encoding_summary(document: object) -> None:
+ """Validate the closed transport and engine-specific cross fields."""
+ root = _require_object(document, "$")
+ _require_exact_fields(
+ root,
+ frozenset(
+ {
+ "schema",
+ "semantics",
+ "engine",
+ "source_formula_sha256",
+ "region_sha256",
+ "z3",
+ "status",
+ "encoding",
+ "model",
+ "statistics",
+ }
+ ),
+ "$",
+ )
+ _require_literal(root["schema"], SCHEMA_NAME, "$.schema")
+ _require_literal(root["semantics"], SEMANTICS, "$.semantics")
+ engine = _require_string(root["engine"], "$.engine")
+ if engine not in ENGINES:
+ _fail("$.engine", "is not a supported encoding engine")
+ _require_sha256(root["source_formula_sha256"], "$.source_formula_sha256")
+ region_digest = _require_nullable_sha256(root["region_sha256"], "$.region_sha256")
+ if (engine == WANG_ENGINE) != (region_digest is not None):
+ _fail("$.region_sha256", "must be present exactly for Wang Z3")
+
+ z3 = _require_object(root["z3"], "$.z3")
+ _require_exact_fields(z3, frozenset({"version", "parameters"}), "$.z3")
+ if not _require_string(z3["version"], "$.z3.version"):
+ _fail("$.z3.version", "must not be empty")
+ parameters = _require_object(z3["parameters"], "$.z3.parameters")
+ _require_exact_fields(
+ parameters,
+ frozenset({"random_seed", "threads"}),
+ "$.z3.parameters",
+ )
+ if _require_integer(
+ parameters["random_seed"], "$.z3.parameters.random_seed", nonnegative=True
+ ) != Z3_RANDOM_SEED:
+ _fail("$.z3.parameters.random_seed", f"must equal {Z3_RANDOM_SEED}")
+ if _require_integer(
+ parameters["threads"], "$.z3.parameters.threads", nonnegative=True
+ ) != Z3_THREADS:
+ _fail("$.z3.parameters.threads", f"must equal {Z3_THREADS}")
+
+ status = _require_string(root["status"], "$.status")
+ if status not in STATUSES:
+ _fail("$.status", "is not a supported Z3 result")
+ encoding = _require_object(root["encoding"], "$.encoding")
+ _require_exact_fields(
+ encoding,
+ frozenset(
+ {
+ "order",
+ "variable_count",
+ "width",
+ "height",
+ "active_cell_count",
+ "edge_term_count",
+ "shared_internal_edge_count",
+ "unique_tile_tuple_count",
+ "assertion_count",
+ }
+ ),
+ "$.encoding",
+ )
+ order = tuple(
+ _require_string(item, f"$.encoding.order[{index}]")
+ for index, item in enumerate(
+ _require_array(encoding["order"], "$.encoding.order")
+ )
+ )
+ expected_order = BOOLEAN_ORDER if engine == BOOLEAN_ENGINE else WANG_ORDER
+ if order != expected_order:
+ _fail("$.encoding.order", "does not match the engine contract")
+ counts = {
+ name: _require_integer(
+ encoding[name], f"$.encoding.{name}", nonnegative=True
+ )
+ for name in (
+ "variable_count",
+ "width",
+ "height",
+ "active_cell_count",
+ "edge_term_count",
+ "shared_internal_edge_count",
+ "unique_tile_tuple_count",
+ "assertion_count",
+ )
+ }
+ if counts["variable_count"] == 0:
+ _fail("$.encoding.variable_count", "must be positive")
+ if engine == BOOLEAN_ENGINE and any(
+ counts[name] != 0
+ for name in (
+ "active_cell_count",
+ "width",
+ "height",
+ "edge_term_count",
+ "shared_internal_edge_count",
+ "unique_tile_tuple_count",
+ )
+ ):
+ _fail("$.encoding", "Boolean Z3 must not publish Wang counts")
+ if engine == WANG_ENGINE and (
+ counts["width"] == 0
+ or counts["height"] == 0
+ or counts["active_cell_count"] == 0
+ or counts["edge_term_count"] == 0
+ or counts["unique_tile_tuple_count"] != WANG_TILE_COUNT
+ ):
+ _fail(
+ "$.encoding",
+ "Wang Z3 requires nonzero region counts and the canonical tile table",
+ )
+ if engine == WANG_ENGINE and (
+ counts["active_cell_count"] > counts["width"] * counts["height"]
+ or counts["edge_term_count"]
+ != 4 * counts["active_cell_count"]
+ - counts["shared_internal_edge_count"]
+ ):
+ _fail("$.encoding", "Wang Z3 edge accounting is inconsistent")
+
+ model = _require_object(root["model"], "$.model")
+ _require_exact_fields(model, frozenset({"assignment", "cells"}), "$.model")
+ assignment = model["assignment"]
+ cells = model["cells"]
+ model_entry_count = 0
+ if status == "sat" and engine == BOOLEAN_ENGINE:
+ values = _require_array(assignment, "$.model.assignment")
+ if len(values) != counts["variable_count"] or any(
+ type(value) is not bool for value in values
+ ):
+ _fail("$.model.assignment", "must contain one boolean per variable")
+ if cells is not None:
+ _fail("$.model.cells", "must be null for Boolean Z3")
+ model_entry_count = len(values)
+ elif status == "sat":
+ if assignment is not None:
+ _fail("$.model.assignment", "must be null for Wang Z3")
+ values = _require_array(cells, "$.model.cells")
+ if len(values) != counts["width"] * counts["height"]:
+ _fail("$.model.cells", "length must equal the Wang extent")
+ active_model_cells = 0
+ for index, tile_id in enumerate(values):
+ if tile_id is not None:
+ parsed_tile_id = _require_integer(
+ tile_id, f"$.model.cells[{index}]", nonnegative=True
+ )
+ if parsed_tile_id >= counts["unique_tile_tuple_count"]:
+ _fail(
+ f"$.model.cells[{index}]",
+ "is outside the canonical tile table",
+ )
+ active_model_cells += 1
+ if active_model_cells != counts["active_cell_count"]:
+ _fail(
+ "$.model.cells",
+ "non-null entries must equal the active-cell count",
+ )
+ model_entry_count = len(values)
+ elif assignment is not None or cells is not None:
+ _fail("$.model", "non-SAT summaries must not publish a model")
+
+ statistics = _require_array(root["statistics"], "$.statistics")
+ parsed_statistics: list[tuple[str, int]] = []
+ for index, raw in enumerate(statistics):
+ path = f"$.statistics[{index}]"
+ statistic = _require_object(raw, path)
+ _require_exact_fields(statistic, frozenset({"name", "value"}), path)
+ name = _require_string(statistic["name"], f"{path}.name")
+ if not name:
+ _fail(f"{path}.name", "must not be empty")
+ value = _require_integer(
+ statistic["value"], f"{path}.value", nonnegative=True
+ )
+ parsed_statistics.append((name, value))
+ expected_statistics = (
+ [
+ ("variables", counts["variable_count"]),
+ ("assertions", counts["assertion_count"]),
+ ("model-entries", model_entry_count),
+ ]
+ if engine == BOOLEAN_ENGINE
+ else [
+ ("active-cells", counts["active_cell_count"]),
+ ("edge-terms", counts["edge_term_count"]),
+ ("shared-internal-edges", counts["shared_internal_edge_count"]),
+ ("assertions", counts["assertion_count"]),
+ ("model-entries", model_entry_count),
+ ]
+ )
+ if parsed_statistics != expected_statistics:
+ _fail("$.statistics", "must match the ordered project-owned counters")
+
+
+def build_boolean_z3_summary(
+ formula: Formula,
+ *,
+ source_formula_sha256: str,
+) -> dict[str, object]:
+ """Run the Boolean oracle once and summarize its explicit encoding."""
+ _require_sha256(source_formula_sha256, "source_formula_sha256")
+ solver, variables = _encode_boolean(formula)
+ status = solver.check()
+ assignment = None
+ if status == sat:
+ model = solver.model()
+ assignment = [
+ is_true(model.eval(variable, model_completion=True))
+ for variable in variables
+ ]
+ document: dict[str, object] = {
+ "schema": SCHEMA_NAME,
+ "semantics": SEMANTICS,
+ "engine": BOOLEAN_ENGINE,
+ "source_formula_sha256": source_formula_sha256,
+ "region_sha256": None,
+ "z3": z3_configuration(),
+ "status": _status_name(status),
+ "encoding": {
+ "order": list(BOOLEAN_ORDER),
+ "variable_count": formula.variable_count,
+ "width": 0,
+ "height": 0,
+ "active_cell_count": 0,
+ "edge_term_count": 0,
+ "shared_internal_edge_count": 0,
+ "unique_tile_tuple_count": 0,
+ "assertion_count": len(solver.assertions()),
+ },
+ "model": {"assignment": assignment, "cells": None},
+ "statistics": [
+ {"name": "variables", "value": formula.variable_count},
+ {"name": "assertions", "value": len(solver.assertions())},
+ {
+ "name": "model-entries",
+ "value": 0 if assignment is None else len(assignment),
+ },
+ ],
+ }
+ validate_z3_encoding_summary(document)
+ return document
+
+
+def build_wang_z3_summary(
+ formula: Formula,
+ region: Region,
+ *,
+ source_formula_sha256: str,
+ region_sha256: str,
+) -> dict[str, object]:
+ """Run the edge-table oracle once and summarize its encoding and model."""
+ _require_sha256(source_formula_sha256, "source_formula_sha256")
+ _require_sha256(region_sha256, "region_sha256")
+ solver, edges, tile_id_by_edges = _encode_tiling(region, TILESET)
+ status = solver.check()
+ cells = None
+ if status == sat:
+ model = solver.model()
+ cells = [
+ None
+ if cell_edges is None
+ else tile_id_by_edges[
+ tuple(
+ model.eval(edge, model_completion=True).as_long()
+ for edge in cell_edges
+ )
+ ]
+ for cell_edges in edges
+ ]
+ active_count = sum(region.active)
+ shared_edges = 0
+ boundary_constraints = 0
+ for index, active in enumerate(region.active):
+ if not active:
+ continue
+ x = index % region.width
+ y = index // region.width
+ if x + 1 < region.width and region.active[index + 1]:
+ shared_edges += 1
+ if y + 1 < region.height and region.active[index + region.width]:
+ shared_edges += 1
+ boundary_constraints += sum(
+ color != COLOR_NONE for color in region.boundary[index]
+ )
+ edge_term_count = len(
+ {
+ edge.get_id()
+ for cell_edges in edges
+ if cell_edges is not None
+ for edge in cell_edges
+ }
+ )
+ document: dict[str, object] = {
+ "schema": SCHEMA_NAME,
+ "semantics": SEMANTICS,
+ "engine": WANG_ENGINE,
+ "source_formula_sha256": source_formula_sha256,
+ "region_sha256": region_sha256,
+ "z3": z3_configuration(),
+ "status": _status_name(status),
+ "encoding": {
+ "order": list(WANG_ORDER),
+ "variable_count": formula.variable_count,
+ "width": region.width,
+ "height": region.height,
+ "active_cell_count": active_count,
+ "edge_term_count": edge_term_count,
+ "shared_internal_edge_count": shared_edges,
+ "unique_tile_tuple_count": len(tile_id_by_edges),
+ "assertion_count": active_count + boundary_constraints,
+ },
+ "model": {"assignment": None, "cells": cells},
+ "statistics": [
+ {"name": "active-cells", "value": active_count},
+ {"name": "edge-terms", "value": edge_term_count},
+ {"name": "shared-internal-edges", "value": shared_edges},
+ {
+ "name": "assertions",
+ "value": active_count + boundary_constraints,
+ },
+ {
+ "name": "model-entries",
+ "value": 0 if cells is None else len(cells),
+ },
+ ],
+ }
+ if len(solver.assertions()) != active_count + boundary_constraints:
+ raise PipelineSnapshotError("Wang Z3 assertion accounting diverged")
+ validate_z3_encoding_summary(document)
+ return document
diff --git a/python/model/solver_trace.py b/python/model/solver_trace.py
new file mode 100644
index 0000000..58ad664
--- /dev/null
+++ b/python/model/solver_trace.py
@@ -0,0 +1,320 @@
+"""Immutable semantic event trace copied from one native Wang solve."""
+
+from __future__ import annotations
+
+from dataclasses import dataclass
+from typing import Final
+
+from model.tiling import TilingSolveStatus
+from model.tileset import TILE_COUNT
+
+
+TRACE_ROOT: Final = "root"
+TRACE_PROPAGATION: Final = "propagation"
+TRACE_DECISION: Final = "decision"
+TRACE_DOMAIN_REDUCTION: Final = "domain_reduction"
+TRACE_CONFLICT: Final = "conflict"
+TRACE_BACKTRACK: Final = "backtrack"
+TRACE_RESULT: Final = "result"
+TRACE_KINDS: Final = frozenset(
+ {
+ TRACE_ROOT,
+ TRACE_PROPAGATION,
+ TRACE_DECISION,
+ TRACE_DOMAIN_REDUCTION,
+ TRACE_CONFLICT,
+ TRACE_BACKTRACK,
+ TRACE_RESULT,
+ }
+)
+
+TRACE_INITIAL: Final = "initial"
+TRACE_SEARCH: Final = "search"
+TRACE_PHASES: Final = frozenset({TRACE_INITIAL, TRACE_SEARCH})
+
+TRACE_REASON_DECISION: Final = "decision"
+TRACE_REASON_PROPAGATION: Final = "propagation"
+TRACE_REASONS: Final = frozenset(
+ {TRACE_REASON_DECISION, TRACE_REASON_PROPAGATION}
+)
+
+SOLVER_REFERENCE: Final = "reference"
+SOLVER_OPTIMIZED: Final = "optimized"
+SOLVERS: Final = frozenset({SOLVER_REFERENCE, SOLVER_OPTIMIZED})
+
+DOMAIN_ALL: Final = (1 << TILE_COUNT) - 1
+
+
+@dataclass(frozen=True, slots=True)
+class SolverTraceEvent:
+ sequence: int
+ kind: str
+ phase: str | None
+ reason: str | None
+ depth: int
+ cell: int | None
+ change_mark: int
+ old_domain: int | None
+ new_domain: int | None
+ status: TilingSolveStatus | None
+
+ def __post_init__(self) -> None:
+ for name in ("sequence", "depth", "change_mark"):
+ value = getattr(self, name)
+ if type(value) is not int or value < 0:
+ raise ValueError(f"trace event {name} must be nonnegative")
+ if type(self.kind) is not str or self.kind not in TRACE_KINDS:
+ raise ValueError("trace event kind is invalid")
+ if self.phase is not None and (
+ type(self.phase) is not str or self.phase not in TRACE_PHASES
+ ):
+ raise ValueError("trace event phase is invalid")
+ if self.reason is not None and (
+ type(self.reason) is not str or self.reason not in TRACE_REASONS
+ ):
+ raise ValueError("trace event reason is invalid")
+ if self.cell is not None and (type(self.cell) is not int or self.cell < 0):
+ raise ValueError("trace event cell must be nonnegative or None")
+ for name in ("old_domain", "new_domain"):
+ value = getattr(self, name)
+ if value is not None and (
+ type(value) is not int or not 0 <= value <= DOMAIN_ALL
+ ):
+ raise ValueError(f"trace event {name} is not a Wang domain")
+ if self.status is not None and self.status not in (
+ TilingSolveStatus.SAT,
+ TilingSolveStatus.UNSAT,
+ ):
+ raise ValueError("trace event status must be SAT, UNSAT, or None")
+
+
+@dataclass(frozen=True, slots=True)
+class SolverTraceCheckpoint:
+ event_sequence: int
+ change_mark: int
+ domains: tuple[int, ...]
+
+ def __post_init__(self) -> None:
+ if type(self.event_sequence) is not int or self.event_sequence < 0:
+ raise ValueError("checkpoint event_sequence must be nonnegative")
+ if type(self.change_mark) is not int or self.change_mark < 0:
+ raise ValueError("checkpoint change_mark must be nonnegative")
+ if type(self.domains) is not tuple:
+ raise TypeError("checkpoint domains must be a tuple")
+ _validate_domains(self.domains, "checkpoint domains")
+
+
+@dataclass(frozen=True, slots=True)
+class SolverTrace:
+ solver: str
+ status: TilingSolveStatus
+ width: int
+ height: int
+ initial_domains: tuple[int, ...]
+ events: tuple[SolverTraceEvent, ...]
+ observed_event_count: int
+ event_capacity: int
+ truncated: bool
+ checkpoints: tuple[SolverTraceCheckpoint, ...]
+ checkpoint_interval: int
+ checkpoint_capacity: int
+ checkpoints_truncated: bool
+
+ def __post_init__(self) -> None:
+ if type(self.solver) is not str or self.solver not in SOLVERS:
+ raise ValueError("solver trace engine is invalid")
+ if self.status not in (TilingSolveStatus.SAT, TilingSolveStatus.UNSAT):
+ raise ValueError("solver trace status must be SAT or UNSAT")
+ for name in (
+ "width",
+ "height",
+ "observed_event_count",
+ "event_capacity",
+ "checkpoint_interval",
+ "checkpoint_capacity",
+ ):
+ value = getattr(self, name)
+ if type(value) is not int or value < 0:
+ raise ValueError(f"solver trace {name} must be nonnegative")
+ if self.width == 0 or self.height == 0:
+ raise ValueError("solver trace dimensions must be positive")
+ if self.event_capacity < 2:
+ raise ValueError("solver trace event_capacity must be at least two")
+ if type(self.truncated) is not bool:
+ raise TypeError("solver trace truncated must be a boolean")
+ if type(self.checkpoints_truncated) is not bool:
+ raise TypeError("checkpoints_truncated must be a boolean")
+ if type(self.initial_domains) is not tuple:
+ raise TypeError("initial_domains must be a tuple")
+ if type(self.events) is not tuple:
+ raise TypeError("events must be a tuple")
+ if type(self.checkpoints) is not tuple:
+ raise TypeError("checkpoints must be a tuple")
+ area = self.width * self.height
+ if len(self.initial_domains) != area:
+ raise ValueError("initial_domains length must match trace dimensions")
+ _validate_domains(self.initial_domains, "initial domains")
+ if not self.events or len(self.events) > self.event_capacity:
+ raise ValueError("recorded events must fit the declared capacity")
+ if self.events[0].kind != TRACE_ROOT:
+ raise ValueError("the first trace event must be root")
+ terminal = self.events[-1]
+ if terminal.kind != TRACE_RESULT or terminal.status is not self.status:
+ raise ValueError("the final trace event must publish the solve status")
+ if self.observed_event_count != terminal.sequence + 1:
+ raise ValueError("observed_event_count must follow the result sequence")
+ if self.truncated:
+ if terminal.sequence <= len(self.events) - 1:
+ raise ValueError("a truncated trace must contain an event gap")
+ elif self.observed_event_count != len(self.events):
+ raise ValueError("a complete trace cannot contain an event gap")
+ for index, event in enumerate(self.events[:-1]):
+ if type(event) is not SolverTraceEvent:
+ raise TypeError("events must contain SolverTraceEvent values")
+ if event.sequence != index:
+ raise ValueError("the recorded trace prefix must be contiguous")
+ if type(terminal) is not SolverTraceEvent:
+ raise TypeError("events must contain SolverTraceEvent values")
+ if (self.checkpoint_interval == 0) != (self.checkpoint_capacity == 0):
+ raise ValueError("checkpoint interval and capacity must be jointly set")
+ if len(self.checkpoints) > self.checkpoint_capacity:
+ raise ValueError("checkpoints exceed their declared capacity")
+ checkpoint_opportunities = (
+ 0
+ if self.checkpoint_interval == 0
+ else (len(self.events) - int(self.truncated))
+ // self.checkpoint_interval
+ )
+ if len(self.checkpoints) != min(
+ checkpoint_opportunities,
+ self.checkpoint_capacity,
+ ):
+ raise ValueError("checkpoint count does not match recorded events")
+ if self.checkpoints_truncated != (
+ checkpoint_opportunities > self.checkpoint_capacity
+ ):
+ raise ValueError("checkpoints_truncated is inconsistent")
+ for checkpoint in self.checkpoints:
+ if type(checkpoint) is not SolverTraceCheckpoint:
+ raise TypeError(
+ "checkpoints must contain SolverTraceCheckpoint values"
+ )
+ if len(checkpoint.domains) != area:
+ raise ValueError("checkpoint domains length must match trace area")
+ replay_solver_trace(self)
+
+
+def _validate_domains(domains: tuple[int, ...], label: str) -> None:
+ for domain in domains:
+ if type(domain) is not int or not 0 <= domain <= DOMAIN_ALL:
+ raise ValueError(f"{label} must contain canonical Wang domains")
+
+
+def replay_solver_trace(
+ trace: SolverTrace,
+) -> tuple[tuple[int, ...], ...]:
+ """Replay the recorded prefix and return the state after every event.
+
+ The terminal result never mutates state. For a truncated trace the returned
+ terminal state is the last reconstructable prefix, not an invented final
+ solver state.
+ """
+ domains = list(trace.initial_domains)
+ changes: list[tuple[int, int]] = []
+ states: list[tuple[int, ...]] = []
+ checkpoints = {item.event_sequence: item for item in trace.checkpoints}
+ if len(checkpoints) != len(trace.checkpoints):
+ raise ValueError("checkpoint event sequences must be unique")
+
+ for index, event in enumerate(trace.events):
+ if event.kind != TRACE_RESULT and event.status is not None:
+ raise ValueError("only the result event may publish a status")
+ if event.kind != TRACE_DOMAIN_REDUCTION and event.reason is not None:
+ raise ValueError("only domain reduction may publish a reason")
+ if event.kind not in (TRACE_DECISION, TRACE_DOMAIN_REDUCTION) and (
+ event.old_domain is not None or event.new_domain is not None
+ ):
+ raise ValueError("only decision and reduction may publish domains")
+ if event.kind == TRACE_ROOT:
+ if index != 0 or event.phase != TRACE_INITIAL:
+ raise ValueError("root must be the first initial-phase event")
+ if event.cell is not None or event.change_mark != 0 or event.depth != 0:
+ raise ValueError("root fields are inconsistent")
+ elif event.kind == TRACE_DOMAIN_REDUCTION:
+ if event.phase not in TRACE_PHASES or event.reason not in TRACE_REASONS:
+ raise ValueError("domain reduction requires phase and reason")
+ if event.cell is None or event.cell >= len(domains):
+ raise ValueError("domain reduction cell lies outside the trace")
+ if event.old_domain is None or event.new_domain is None:
+ raise ValueError("domain reduction requires old and new domains")
+ if domains[event.cell] != event.old_domain:
+ raise ValueError("domain reduction old_domain does not match replay")
+ if event.new_domain == event.old_domain or (
+ event.new_domain & ~event.old_domain
+ ):
+ raise ValueError("domain reduction must remove at least one tile")
+ changes.append((event.cell, event.old_domain))
+ domains[event.cell] = event.new_domain
+ if event.change_mark != len(changes):
+ raise ValueError("domain reduction change_mark is inconsistent")
+ elif event.kind == TRACE_BACKTRACK:
+ if event.phase != TRACE_SEARCH or event.change_mark > len(changes):
+ raise ValueError("backtrack change_mark is inconsistent")
+ while len(changes) > event.change_mark:
+ cell, old_domain = changes.pop()
+ domains[cell] = old_domain
+ elif not (
+ event.kind == TRACE_RESULT
+ and trace.truncated
+ and event.sequence != index
+ ):
+ if event.change_mark != len(changes):
+ raise ValueError("trace event change_mark is inconsistent")
+
+ if event.kind == TRACE_DECISION:
+ if event.phase != TRACE_SEARCH or event.cell is None:
+ raise ValueError("decision requires a search-phase cell")
+ if event.old_domain != domains[event.cell]:
+ raise ValueError("decision old_domain does not match replay")
+ if event.new_domain is None or event.new_domain == 0 or (
+ event.new_domain & (event.new_domain - 1)
+ ):
+ raise ValueError("decision new_domain must be a singleton")
+ if event.old_domain is None or event.new_domain & ~event.old_domain:
+ raise ValueError("decision must select from its old domain")
+ elif event.kind == TRACE_PROPAGATION:
+ if event.phase not in TRACE_PHASES:
+ raise ValueError("propagation requires a phase")
+ if (event.phase == TRACE_INITIAL) != (event.cell is None):
+ raise ValueError("propagation cell does not match its phase")
+ if event.phase == TRACE_INITIAL and event.depth != 0:
+ raise ValueError("initial propagation must have depth zero")
+ elif event.kind == TRACE_CONFLICT:
+ if event.phase not in TRACE_PHASES or event.cell is None:
+ raise ValueError("conflict requires a phase and cell")
+ if event.cell >= len(domains) or domains[event.cell] != 0:
+ raise ValueError("conflict cell must have the empty domain")
+ elif event.kind == TRACE_RESULT:
+ if event is not trace.events[-1] or event.phase is not None:
+ raise ValueError("result must be the terminal phase-less event")
+ if event.status is not trace.status:
+ raise ValueError("result status does not match the trace")
+ if (trace.status is TilingSolveStatus.SAT) != (event.cell is None):
+ raise ValueError("result cell does not match the solve status")
+
+ state = tuple(domains)
+ checkpoint = checkpoints.get(event.sequence)
+ if checkpoint is not None:
+ if checkpoint.change_mark != len(changes):
+ raise ValueError("checkpoint change_mark does not match replay")
+ if checkpoint.domains != state:
+ raise ValueError("checkpoint domains do not match replay")
+ states.append(state)
+
+ recorded_sequences = {event.sequence for event in trace.events}
+ if any(
+ checkpoint.event_sequence not in recorded_sequences
+ for checkpoint in trace.checkpoints
+ ):
+ raise ValueError("checkpoint must reference a recorded event")
+ return tuple(states)
diff --git a/python/native/solver_trace_adapter.py b/python/native/solver_trace_adapter.py
new file mode 100644
index 0000000..3a50646
--- /dev/null
+++ b/python/native/solver_trace_adapter.py
@@ -0,0 +1,301 @@
+"""ctypes boundary for opt-in native Wang solver event traces."""
+
+from __future__ import annotations
+
+from ctypes import (
+ CDLL,
+ POINTER,
+ Structure,
+ byref,
+ c_bool,
+ c_int,
+ c_size_t,
+ c_uint32,
+ c_uint64,
+)
+from functools import cache
+
+from model.region import Region
+from model.solver_trace import (
+ SOLVER_OPTIMIZED,
+ SOLVER_REFERENCE,
+ TRACE_BACKTRACK,
+ TRACE_CONFLICT,
+ TRACE_DECISION,
+ TRACE_DOMAIN_REDUCTION,
+ TRACE_INITIAL,
+ TRACE_PROPAGATION,
+ TRACE_REASON_DECISION,
+ TRACE_REASON_PROPAGATION,
+ TRACE_RESULT,
+ TRACE_ROOT,
+ TRACE_SEARCH,
+ SolverTrace,
+ SolverTraceCheckpoint,
+ SolverTraceEvent,
+ replay_solver_trace,
+)
+from model.tiling import TilingSolveResult, TilingSolveStatus
+from native._lib import library
+from native.region_adapter import _Region, _YangZhangReduction
+from native.witness_adapter import (
+ NativeWitnessError,
+ _WangSolveResult,
+ _WangSolverOptions,
+ _adapt_solve_result,
+)
+
+
+_SIZE_MAX = c_size_t(-1).value
+_EVENT_KINDS = {
+ 0: TRACE_ROOT,
+ 1: TRACE_PROPAGATION,
+ 2: TRACE_DECISION,
+ 3: TRACE_DOMAIN_REDUCTION,
+ 4: TRACE_CONFLICT,
+ 5: TRACE_BACKTRACK,
+ 6: TRACE_RESULT,
+}
+_PHASES = {0: None, 1: TRACE_INITIAL, 2: TRACE_SEARCH}
+_REASONS = {
+ 0: None,
+ 1: TRACE_REASON_DECISION,
+ 2: TRACE_REASON_PROPAGATION,
+}
+_STATUSES = {
+ -1: None,
+ 0: TilingSolveStatus.UNSAT,
+ 1: TilingSolveStatus.SAT,
+}
+
+
+class _WangSolveTraceEvent(Structure):
+ _fields_ = [
+ ("sequence", c_uint64),
+ ("kind", c_int),
+ ("phase", c_int),
+ ("reason", c_int),
+ ("depth", c_size_t),
+ ("cell_index", c_size_t),
+ ("change_mark", c_size_t),
+ ("old_domain", c_uint32),
+ ("new_domain", c_uint32),
+ ("status", c_int),
+ ]
+
+
+class _WangSolveTraceCheckpoint(Structure):
+ _fields_ = [
+ ("event_sequence", c_uint64),
+ ("change_mark", c_size_t),
+ ]
+
+
+class _WangSolveTraceOptions(Structure):
+ _fields_ = [
+ ("event_capacity", c_size_t),
+ ("checkpoint_interval", c_size_t),
+ ("checkpoint_capacity", c_size_t),
+ ]
+
+
+class _WangSolveTrace(Structure):
+ _fields_ = [
+ ("initial_domains", POINTER(c_uint32)),
+ ("domain_count", c_size_t),
+ ("events", POINTER(_WangSolveTraceEvent)),
+ ("event_count", c_size_t),
+ ("observed_event_count", c_uint64),
+ ("event_capacity", c_size_t),
+ ("truncated", c_bool),
+ ("checkpoints", POINTER(_WangSolveTraceCheckpoint)),
+ ("checkpoint_domains", POINTER(c_uint32)),
+ ("checkpoint_count", c_size_t),
+ ("checkpoint_interval", c_size_t),
+ ("checkpoint_capacity", c_size_t),
+ ("checkpoints_truncated", c_bool),
+ ]
+
+
+class _WangTracedSolveResult(Structure):
+ _fields_ = [
+ ("solve", _WangSolveResult),
+ ("trace", _WangSolveTrace),
+ ]
+
+
+@cache
+def _trace_library() -> CDLL:
+ lib = library()
+ arguments = [
+ POINTER(_Region),
+ POINTER(_WangSolverOptions),
+ POINTER(_WangSolveTraceOptions),
+ POINTER(_WangTracedSolveResult),
+ ]
+ lib.wang_solve_serial_traced.argtypes = arguments
+ lib.wang_solve_serial_traced.restype = c_int
+ lib.wang_solve_optimized_traced.argtypes = arguments
+ lib.wang_solve_optimized_traced.restype = c_int
+ lib.wang_traced_solve_result_destroy.argtypes = [
+ POINTER(_WangTracedSolveResult)
+ ]
+ lib.wang_traced_solve_result_destroy.restype = None
+ return lib
+
+
+def _enum_value(mapping: dict[int, object], value: int, label: str) -> object:
+ try:
+ return mapping[value]
+ except KeyError as error:
+ raise NativeWitnessError(
+ f"native solver trace returned unknown {label} {value}"
+ ) from error
+
+
+def _copy_trace(
+ native: _WangSolveTrace,
+ region: Region,
+ solver: str,
+ status: TilingSolveStatus,
+) -> SolverTrace:
+ area = region.width * region.height
+ domain_count = int(native.domain_count)
+ event_count = int(native.event_count)
+ checkpoint_count = int(native.checkpoint_count)
+ if domain_count != area or not native.initial_domains:
+ raise NativeWitnessError("native solver trace returned malformed root state")
+ if event_count < 2 or event_count > int(native.event_capacity) or not native.events:
+ raise NativeWitnessError("native solver trace returned malformed event storage")
+ if checkpoint_count > int(native.checkpoint_capacity):
+ raise NativeWitnessError("native solver trace exceeded checkpoint capacity")
+ if checkpoint_count and (
+ not native.checkpoints or not native.checkpoint_domains
+ ):
+ raise NativeWitnessError("native solver trace returned malformed checkpoints")
+
+ initial_domains = tuple(
+ int(native.initial_domains[index]) for index in range(domain_count)
+ )
+ events: list[SolverTraceEvent] = []
+ for index in range(event_count):
+ item = native.events[index]
+ kind = _enum_value(_EVENT_KINDS, int(item.kind), "event kind")
+ assert type(kind) is str
+ phase = _enum_value(_PHASES, int(item.phase), "phase")
+ reason = _enum_value(_REASONS, int(item.reason), "reason")
+ event_status = _enum_value(_STATUSES, int(item.status), "status")
+ cell_index = int(item.cell_index)
+ cell = None if cell_index == _SIZE_MAX else cell_index
+ carries_domains = kind in (TRACE_DECISION, TRACE_DOMAIN_REDUCTION)
+ events.append(
+ SolverTraceEvent(
+ sequence=int(item.sequence),
+ kind=kind,
+ phase=phase if type(phase) is str else None,
+ reason=reason if type(reason) is str else None,
+ depth=int(item.depth),
+ cell=cell,
+ change_mark=int(item.change_mark),
+ old_domain=int(item.old_domain) if carries_domains else None,
+ new_domain=int(item.new_domain) if carries_domains else None,
+ status=(
+ event_status
+ if type(event_status) is TilingSolveStatus
+ else None
+ ),
+ )
+ )
+
+ checkpoints = tuple(
+ SolverTraceCheckpoint(
+ event_sequence=int(native.checkpoints[index].event_sequence),
+ change_mark=int(native.checkpoints[index].change_mark),
+ domains=tuple(
+ int(native.checkpoint_domains[index * domain_count + cell])
+ for cell in range(domain_count)
+ ),
+ )
+ for index in range(checkpoint_count)
+ )
+ return SolverTrace(
+ solver=solver,
+ status=status,
+ width=region.width,
+ height=region.height,
+ initial_domains=initial_domains,
+ events=tuple(events),
+ observed_event_count=int(native.observed_event_count),
+ event_capacity=int(native.event_capacity),
+ truncated=bool(native.truncated),
+ checkpoints=checkpoints,
+ checkpoint_interval=int(native.checkpoint_interval),
+ checkpoint_capacity=int(native.checkpoint_capacity),
+ checkpoints_truncated=bool(native.checkpoints_truncated),
+ )
+
+
+def _solve_native_traced(
+ native_reduction: _YangZhangReduction,
+ region: Region,
+ *,
+ optimized: bool,
+ event_capacity: int,
+ checkpoint_interval: int,
+ checkpoint_capacity: int,
+) -> tuple[TilingSolveResult, SolverTrace]:
+ """Run one traced solve and copy all caller-owned native storage."""
+ for name, value in (
+ ("event_capacity", event_capacity),
+ ("checkpoint_interval", checkpoint_interval),
+ ("checkpoint_capacity", checkpoint_capacity),
+ ):
+ if type(value) is not int or value < 0:
+ raise ValueError(f"{name} must be a nonnegative integer")
+ if event_capacity < 2:
+ raise ValueError("event_capacity must be at least two")
+ if (checkpoint_interval == 0) != (checkpoint_capacity == 0):
+ raise ValueError(
+ "checkpoint_interval and checkpoint_capacity must be jointly set"
+ )
+
+ native_options = _WangSolveTraceOptions(
+ event_capacity=event_capacity,
+ checkpoint_interval=checkpoint_interval,
+ checkpoint_capacity=checkpoint_capacity,
+ )
+ lib = _trace_library()
+ solve = (
+ lib.wang_solve_optimized_traced
+ if optimized
+ else lib.wang_solve_serial_traced
+ )
+ solver = SOLVER_OPTIMIZED if optimized else SOLVER_REFERENCE
+ native_result = _WangTracedSolveResult()
+ try:
+ status_code = solve(
+ byref(native_reduction.region),
+ None,
+ byref(native_options),
+ byref(native_result),
+ )
+ result = _adapt_solve_result(
+ status_code,
+ native_result.solve,
+ region,
+ "traced native Wang solve",
+ )
+ trace = _copy_trace(native_result.trace, region, solver, result.status)
+ if result.status is TilingSolveStatus.SAT and not trace.truncated:
+ assert result.tiling is not None
+ expected = tuple(
+ 0 if tile_id is None else 1 << tile_id
+ for tile_id in result.tiling
+ )
+ if replay_solver_trace(trace)[-1] != expected:
+ raise NativeWitnessError(
+ "native solver trace does not replay to its SAT witness"
+ )
+ return result, trace
+ finally:
+ lib.wang_traced_solve_result_destroy(byref(native_result))
diff --git a/python/native/trace_pipeline.py b/python/native/trace_pipeline.py
new file mode 100644
index 0000000..656b711
--- /dev/null
+++ b/python/native/trace_pipeline.py
@@ -0,0 +1,63 @@
+"""One-lifetime native formula, reduction, solve, and trace orchestration."""
+
+from model.formula import Formula
+from model.reduction_explanation import ReductionExplanation
+from model.region import Region
+from model.solver_trace import SolverTrace
+from model.tiling import TilingSolveResult, TilingSolveStatus
+from model.tileset import TILESET
+from native.formula_adapter import PathLike, _copy_formula, _loaded_formula
+from native.region_adapter import (
+ _built_explained_reduction,
+ _copy_reduction_explanation,
+ _copy_region,
+)
+from native.solver_trace_adapter import _solve_native_traced
+from native.witness_adapter import NativeWitnessError
+from oracles.tiling_check import is_valid_tiling
+
+
+def solve_native_pipeline_trace(
+ path: PathLike,
+ *,
+ optimized: bool = False,
+ event_capacity: int = 20_000,
+ checkpoint_interval: int = 64,
+ checkpoint_capacity: int = 64,
+) -> tuple[
+ Formula,
+ Region,
+ ReductionExplanation,
+ TilingSolveResult,
+ SolverTrace,
+]:
+ """Copy one observed native run before every C lifetime is released."""
+ if type(optimized) is not bool:
+ raise TypeError("optimized must be a boolean")
+
+ with _loaded_formula(path) as native_formula:
+ formula = _copy_formula(native_formula)
+ with _built_explained_reduction(native_formula) as native_reduction:
+ region = _copy_region(native_reduction.reduction.region)
+ explanation = _copy_reduction_explanation(
+ native_reduction,
+ int(native_formula.variable_count),
+ )
+ result, trace = _solve_native_traced(
+ native_reduction.reduction,
+ region,
+ optimized=optimized,
+ event_capacity=event_capacity,
+ checkpoint_interval=checkpoint_interval,
+ checkpoint_capacity=checkpoint_capacity,
+ )
+ if result.status is TilingSolveStatus.SAT:
+ if result.tiling is None or not is_valid_tiling(
+ region,
+ TILESET,
+ result.tiling,
+ ):
+ raise NativeWitnessError(
+ "traced native SAT tiling was rejected by the Python checker"
+ )
+ return formula, region, explanation, result, trace
diff --git a/python/oracles/boolean_solver.py b/python/oracles/boolean_solver.py
index c507fc6..26d2f9a 100644
--- a/python/oracles/boolean_solver.py
+++ b/python/oracles/boolean_solver.py
@@ -8,9 +8,10 @@
from dataclasses import dataclass
from enum import Enum
-from z3 import Bool, If, Solver, Sum, is_true, sat, unsat
+from z3 import Bool, BoolRef, If, Solver, Sum, is_true, sat, unsat
from model.formula import Formula
+from oracles.z3_config import configured_solver
class BooleanSolveStatus(Enum):
@@ -30,14 +31,18 @@ def __post_init__(self) -> None:
raise ValueError("only SAT results carry an assignment")
-def solve_boolean(formula: Formula) -> BooleanSolveResult:
- """Solve ``formula`` while counting all three positions of each clause."""
+def _encode_boolean(formula: Formula) -> tuple[Solver, tuple[BoolRef, ...]]:
+ """Build the canonical variable and clause order used by this oracle."""
variables = [Bool(f"x_{index}") for index in range(formula.variable_count)]
-
- solver = Solver()
-
+ solver = configured_solver(Solver())
for clause in formula.clauses:
solver.add(Sum([If(variables[index], 1, 0) for index in clause]) == 1)
+ return solver, tuple(variables)
+
+
+def solve_boolean(formula: Formula) -> BooleanSolveResult:
+ """Solve ``formula`` while counting all three positions of each clause."""
+ solver, variables = _encode_boolean(formula)
status = solver.check()
diff --git a/python/oracles/tiling_solver.py b/python/oracles/tiling_solver.py
index 35fb5de..24f2cf2 100644
--- a/python/oracles/tiling_solver.py
+++ b/python/oracles/tiling_solver.py
@@ -13,6 +13,7 @@
Tile,
Tileset,
)
+from oracles.z3_config import configured_solver
def _validate_tileset(tileset: Tileset) -> None:
@@ -59,18 +60,18 @@ def _edge_terms(
return tuple(terms)
-def solve_tiling(region: Region, tileset: Tileset) -> TilingSolveResult:
- """Solve an existing region without parsing or rebuilding its reduction.
-
- Each cell is constrained to one tileset edge tuple and adjacent cells
- share their internal edge-color term. SAT returns one dense row-major tile
- ID per active cell and ``None`` for inactive cells; UNSAT and UNKNOWN
- return no tiling. Duplicate edge tuples remain valid, constraint-equivalent
- tile IDs.
- """
+def _encode_tiling(
+ region: Region,
+ tileset: Tileset,
+) -> tuple[
+ Solver,
+ tuple[tuple[ArithRef, ArithRef, ArithRef, ArithRef] | None, ...],
+ dict[Tile, int],
+]:
+ """Build the canonical row-major edge-table encoding used by the oracle."""
_validate_tileset(tileset)
- solver = Solver()
+ solver = configured_solver(Solver())
edges = _edge_terms(region)
tile_id_by_edges: dict[Tile, int] = {}
for tile_id, tile in enumerate(tileset):
@@ -96,6 +97,19 @@ def solve_tiling(region: Region, tileset: Tileset) -> TilingSolveResult:
for direction, required_color in enumerate(region.boundary[index]):
if required_color != COLOR_NONE:
solver.add(cell_edges[direction] == required_color)
+ return solver, edges, tile_id_by_edges
+
+
+def solve_tiling(region: Region, tileset: Tileset) -> TilingSolveResult:
+ """Solve an existing region without parsing or rebuilding its reduction.
+
+ Each cell is constrained to one tileset edge tuple and adjacent cells
+ share their internal edge-color term. SAT returns one dense row-major tile
+ ID per active cell and ``None`` for inactive cells; UNSAT and UNKNOWN
+ return no tiling. Duplicate edge tuples remain valid, constraint-equivalent
+ tile IDs.
+ """
+ solver, edges, tile_id_by_edges = _encode_tiling(region, tileset)
status = solver.check()
if status == sat:
diff --git a/python/oracles/z3_config.py b/python/oracles/z3_config.py
new file mode 100644
index 0000000..ca8d03c
--- /dev/null
+++ b/python/oracles/z3_config.py
@@ -0,0 +1,28 @@
+"""Explicit reproducibility settings shared by the two Z3 oracles."""
+
+from typing import Final
+
+from z3 import Solver, get_version_string
+
+
+Z3_RANDOM_SEED: Final = 0
+Z3_THREADS: Final = 1
+
+
+def configured_solver(solver=None) -> Solver:
+ """Configure a supplied solver, or create one, with stable parameters."""
+ if solver is None:
+ solver = Solver()
+ solver.set(random_seed=Z3_RANDOM_SEED, threads=Z3_THREADS)
+ return solver
+
+
+def z3_configuration() -> dict[str, object]:
+ """Return the exact environment fields used by encoding summaries."""
+ return {
+ "version": get_version_string(),
+ "parameters": {
+ "random_seed": Z3_RANDOM_SEED,
+ "threads": Z3_THREADS,
+ },
+ }
diff --git a/renderer/README.md b/renderer/README.md
index 8ca15be..f5da873 100644
--- a/renderer/README.md
+++ b/renderer/README.md
@@ -134,6 +134,52 @@ Reduction spans describe the square construction itself, so this view rejects
the signal permutation, and gadget bounds without importing native code or
reconstructing builder geometry.
+### Offline trace and algorithm animations
+
+The animation modules keep state interpretation separate from image encoding.
+`wang_trace.py` loads a hash-bound `wang-explain-manifest-v3` and independently
+replays its `observed` native events once. `wang_trace_render.py` selects and
+composes frames from those replayed states. `wang_animation.py` receives only
+completed RGB frames and writes deterministic atomic PNGs, a contact sheet,
+and a presentation-only GIF:
+
+```bash
+uv run --locked python wang_trace_render.py \
+ ../tests/fixtures/pipeline_sat_solver_trace/manifest.json \
+ output/solver-trace
+```
+
+Z3 uses a separate `encoding-order` summary. The renderer shows the explicit
+project-owned row-major constraint construction and returned model, never an
+internal Z3 search or debug trace:
+
+```bash
+uv run --locked python wang_z3_summary.py \
+ ../tests/fixtures/pipeline_sat_z3/wang-z3.json \
+ output/z3-encoding
+```
+
+Three additional commands make their source semantics explicit: builder and
+hex are `canonical-example` views over versioned data and pure checked
+transformation respectively; optimized is a `didactic` overview whose dated
+reports, not the animation, establish performance.
+
+```bash
+uv run --locked python wang_algorithm_animation.py builder \
+ ../tests/fixtures/pipeline_sat_reduction_explain/manifest.json \
+ output/builder-routing
+uv run --locked python wang_algorithm_animation.py optimized \
+ output/optimized-mechanisms
+uv run --locked python wang_algorithm_animation.py hex \
+ ../tests/fixtures/wang_solution_v1_square_sat.json \
+ output/square-to-hex
+```
+
+All loaders reject unknown fields and identity drift before rasterization. No
+animation module imports native code; trace rendering and algorithm rendering
+do not import Z3. PNG sources are the deterministic test oracles. GIFs exist
+only for presentation, and every published animation has a static fallback.
+
## Input Format
### palette.json
@@ -282,9 +328,17 @@ Raises `RenderingException` on pipeline errors.
├── wang_hex_port.py # Pure square-to-hex reducer and independent checker
├── wang_snapshot.py # Strict static-snapshot consumer and view compositor
├── wang_explain.py # Shared colored-edge and legend drawing primitives
+├── wang_trace.py # Strict observed-trace loader and offline replay
+├── wang_trace_render.py # Trace frame selection and composition CLI
+├── wang_z3_summary.py # Encoding-order summary consumer and compositor
+├── wang_animation.py # Deterministic PNG/contact-sheet/GIF encoder
+├── wang_algorithm_animation.py # Canonical and didactic algorithm views
├── test_wang_square.py # Square loader, raster, isolation, CLI, and failures
├── test_wang_hex.py # Port proof obligations, hex raster, golden, and CLI
├── test_wang_snapshot.py # Snapshot contracts, views, isolation, and goldens
+├── test_wang_trace.py # Hash-bound replay, isolation, and byte stability
+├── test_wang_z3_summary.py # Fixed encoding summaries and byte stability
+├── test_wang_algorithm_animation.py # Source checks and animation goldens
├── input/ # Example input files (palette, scene, tiles, sprites)
├── output/ # Rendered PNG output goes here
├── test_data/
@@ -306,9 +360,9 @@ Raises `RenderingException` on pipeline errors.
uv run --locked pytest -q
```
-The complete isolated suite has 238 tests: the 144 preserved legacy tests
-below, 45 Wang square tests, 24 square-to-hex/hex-raster tests, and 25 static
-snapshot/explainability tests.
+The complete isolated suite has 253 tests: the 144 preserved legacy tests
+below, 45 Wang square tests, 24 square-to-hex/hex-raster tests, 25 static
+snapshot/explainability tests, and 15 trace/Z3/algorithm-animation tests.
To run only the original upstream suite:
```bash
diff --git a/renderer/UPSTREAM.md b/renderer/UPSTREAM.md
index 0405b2f..ed45cf8 100644
--- a/renderer/UPSTREAM.md
+++ b/renderer/UPSTREAM.md
@@ -44,11 +44,11 @@ uv run --locked pytest -q
```
The import baseline remains 144 collected tests and 144 passing tests. The
-combined local suite is 238 tests: 144 preserved legacy tests, 45 Wang square
-tests, 24 square-to-hex/hex-raster tests, and 25 static
-snapshot/explainability tests. Keep the renderer environment under
-`renderer/.venv`; its local `.gitignore` excludes that environment and
-generated Python/build files.
+combined local suite is 253 tests: 144 preserved legacy tests, 45 Wang square
+tests, 24 square-to-hex/hex-raster tests, 25 static
+snapshot/explainability tests, and 15 trace/Z3/algorithm-animation tests. Keep
+the renderer environment under `renderer/.venv`; its local `.gitignore`
+excludes that environment and generated Python/build files.
The preserved `renderer/.github/workflows/ci.yml` is nested upstream evidence;
GitHub does not run it as a workflow of the containing repository. The
diff --git a/renderer/test_wang_algorithm_animation.py b/renderer/test_wang_algorithm_animation.py
new file mode 100644
index 0000000..ddcea16
--- /dev/null
+++ b/renderer/test_wang_algorithm_animation.py
@@ -0,0 +1,95 @@
+from __future__ import annotations
+
+from pathlib import Path
+
+from PIL import Image
+
+from wang_algorithm_animation import (
+ main,
+ render_builder_assets,
+ render_hex_assets,
+ render_optimized_assets,
+)
+
+
+RENDERER = Path(__file__).resolve().parent
+ROOT = RENDERER.parent
+BUILDER_MANIFEST = (
+ ROOT / "tests/fixtures/pipeline_sat_reduction_explain/manifest.json"
+)
+SQUARE_SOLUTION = ROOT / "tests/fixtures/wang_solution_v1_square_sat.json"
+GOLDENS = ROOT / "docs/assets/images"
+
+
+def _tree_bytes(directory: Path) -> dict[str, bytes]:
+ return {
+ path.relative_to(directory).as_posix(): path.read_bytes()
+ for path in directory.rglob("*")
+ if path.is_file()
+ }
+
+
+def _assert_stable_assets(
+ first_directory: Path,
+ second_directory: Path,
+ golden_directory: Path,
+ *,
+ frame_count: int,
+ fallback_name: str,
+) -> None:
+ assert _tree_bytes(first_directory) == _tree_bytes(second_directory)
+ assert _tree_bytes(first_directory) == _tree_bytes(golden_directory)
+ with Image.open(first_directory / "trace.gif") as animation:
+ assert animation.format == "GIF"
+ assert animation.n_frames == frame_count
+ assert (first_directory / fallback_name).is_file()
+
+
+def test_builder_animation_uses_versioned_provenance_and_is_byte_stable(tmp_path):
+ first = render_builder_assets(BUILDER_MANIFEST, tmp_path / "first")
+ render_builder_assets(BUILDER_MANIFEST, tmp_path / "second")
+
+ assert first.fallback.name == "frame-04.png"
+ _assert_stable_assets(
+ tmp_path / "first",
+ tmp_path / "second",
+ GOLDENS / "builder-routing",
+ frame_count=6,
+ fallback_name="frame-04.png",
+ )
+
+
+def test_optimized_didactic_animation_is_byte_stable(tmp_path):
+ first = render_optimized_assets(tmp_path / "first")
+ render_optimized_assets(tmp_path / "second")
+
+ assert first.fallback.name == "frame-05.png"
+ _assert_stable_assets(
+ tmp_path / "first",
+ tmp_path / "second",
+ GOLDENS / "optimized-mechanisms",
+ frame_count=6,
+ fallback_name="frame-05.png",
+ )
+
+
+def test_hex_animation_checks_the_pure_port_and_is_byte_stable(tmp_path):
+ first = render_hex_assets(SQUARE_SOLUTION, tmp_path / "first")
+ render_hex_assets(SQUARE_SOLUTION, tmp_path / "second")
+
+ assert first.fallback.name == "frame-02.png"
+ _assert_stable_assets(
+ tmp_path / "first",
+ tmp_path / "second",
+ GOLDENS / "square-to-hex",
+ frame_count=4,
+ fallback_name="frame-02.png",
+ )
+
+
+def test_cli_reports_animation_and_fallback(tmp_path, capsys):
+ assert main(["optimized", str(tmp_path)]) == 0
+ assert capsys.readouterr().out.splitlines() == [
+ f"animation={tmp_path / 'trace.gif'}",
+ f"fallback={tmp_path / 'frame-05.png'}",
+ ]
diff --git a/renderer/test_wang_trace.py b/renderer/test_wang_trace.py
new file mode 100644
index 0000000..5491494
--- /dev/null
+++ b/renderer/test_wang_trace.py
@@ -0,0 +1,167 @@
+from __future__ import annotations
+
+import hashlib
+import json
+from pathlib import Path
+import shutil
+import subprocess
+import sys
+
+from PIL import Image
+import pytest
+
+from wang_hex_port import WangSquareRenderError
+from wang_trace import load_trace_bundle
+from wang_trace_render import render_trace_assets
+
+
+RENDERER = Path(__file__).resolve().parent
+ROOT = RENDERER.parent
+FIXTURE_DIRECTORY = ROOT / "tests/fixtures/pipeline_sat_solver_trace"
+MANIFEST = FIXTURE_DIRECTORY / "manifest.json"
+GOLDENS = ROOT / "docs/assets/images/solver-trace"
+
+
+def _tree_bytes(directory: Path) -> dict[str, bytes]:
+ return {
+ path.relative_to(directory).as_posix(): path.read_bytes()
+ for path in directory.rglob("*")
+ if path.is_file()
+ }
+
+
+def test_loads_and_replays_hash_bound_trace_without_solver_imports():
+ bundle = load_trace_bundle(MANIFEST)
+
+ assert bundle.trace.solver == "reference"
+ assert bundle.trace.status == "sat"
+ assert bundle.trace.observed_event_count == 2896
+ assert len(bundle.trace.events) == 2896
+ assert len(bundle.trace.checkpoints) == 22
+ assert bundle.solution is not None
+ assert (bundle.trace.width, bundle.trace.height) == (41, 11)
+ assert "z3" not in sys.modules
+ assert not any(name.startswith("native") for name in sys.modules)
+
+
+def test_one_composition_chain_is_byte_stable_for_png_sheet_and_gif(tmp_path):
+ first = render_trace_assets(MANIFEST, tmp_path / "first", max_frames=8)
+ second = render_trace_assets(MANIFEST, tmp_path / "second", max_frames=8)
+
+ assert _tree_bytes(tmp_path / "first") == _tree_bytes(tmp_path / "second")
+ assert _tree_bytes(tmp_path / "first") == _tree_bytes(GOLDENS)
+ assert len(first.frames) == 8
+ assert first.fallback.name == "frame-002517.png"
+ assert first.animation.name == "trace.gif"
+ assert first.contact_sheet.name == "contact-sheet.png"
+ with Image.open(first.frames[0]) as frame:
+ assert frame.mode == "RGB"
+ assert frame.size == (988, 414)
+ with Image.open(first.animation) as animation:
+ assert animation.format == "GIF"
+ assert animation.n_frames == 8
+
+
+def test_rejects_hash_tampering_before_parsing_trace(tmp_path):
+ copied = tmp_path / "bundle"
+ shutil.copytree(FIXTURE_DIRECTORY, copied)
+ manifest = json.loads((copied / "manifest.json").read_text(encoding="utf-8"))
+ trace_path = copied / manifest["artifacts"]["trace"]["path"]
+ trace_path.write_bytes(trace_path.read_bytes() + b" ")
+
+ with pytest.raises(WangSquareRenderError, match="sha256"):
+ load_trace_bundle(copied / "manifest.json")
+
+
+def test_rejects_semantic_delta_tampering_even_with_updated_hash(tmp_path):
+ copied = tmp_path / "bundle"
+ shutil.copytree(FIXTURE_DIRECTORY, copied)
+ manifest_path = copied / "manifest.json"
+ manifest = json.loads(manifest_path.read_text(encoding="utf-8"))
+ trace_path = copied / manifest["artifacts"]["trace"]["path"]
+ trace = json.loads(trace_path.read_text(encoding="utf-8"))
+ event = next(
+ item for item in trace["events"] if item["kind"] == "domain_reduction"
+ )
+ event["old_domain"] ^= 1
+ encoded = (json.dumps(trace, indent=2) + "\n").encode("utf-8")
+ trace_path.write_bytes(encoded)
+ manifest["artifacts"]["trace"]["sha256"] = hashlib.sha256(encoded).hexdigest()
+ manifest_path.write_text(json.dumps(manifest), encoding="utf-8")
+
+ with pytest.raises(WangSquareRenderError, match="old_domain"):
+ load_trace_bundle(manifest_path)
+
+
+def test_rejects_inactive_cell_state_even_with_updated_hash(tmp_path):
+ copied = tmp_path / "bundle"
+ shutil.copytree(FIXTURE_DIRECTORY, copied)
+ manifest_path = copied / "manifest.json"
+ manifest = json.loads(manifest_path.read_text(encoding="utf-8"))
+ region_path = copied / manifest["artifacts"]["region"]["path"]
+ trace_path = copied / manifest["artifacts"]["trace"]["path"]
+ region = json.loads(region_path.read_text(encoding="utf-8"))
+ trace = json.loads(trace_path.read_text(encoding="utf-8"))
+ inactive = region["active"].index(False)
+ trace["initial_domains"][inactive] = 1
+ for checkpoint in trace["checkpoints"]:
+ checkpoint["domains"][inactive] = 1
+ encoded = (json.dumps(trace, indent=2) + "\n").encode("utf-8")
+ trace_path.write_bytes(encoded)
+ manifest["artifacts"]["trace"]["sha256"] = hashlib.sha256(encoded).hexdigest()
+ manifest_path.write_text(json.dumps(manifest), encoding="utf-8")
+
+ with pytest.raises(WangSquareRenderError, match="inactive cell"):
+ load_trace_bundle(manifest_path)
+
+
+def test_rejects_false_truncation_and_nonsemantic_event_fields(tmp_path):
+ copied = tmp_path / "bundle"
+ shutil.copytree(FIXTURE_DIRECTORY, copied)
+ manifest_path = copied / "manifest.json"
+ manifest = json.loads(manifest_path.read_text(encoding="utf-8"))
+ trace_path = copied / manifest["artifacts"]["trace"]["path"]
+ trace = json.loads(trace_path.read_text(encoding="utf-8"))
+ trace["capacity"]["truncated"] = True
+ encoded = (json.dumps(trace, indent=2) + "\n").encode("utf-8")
+ trace_path.write_bytes(encoded)
+ manifest["artifacts"]["trace"]["sha256"] = hashlib.sha256(encoded).hexdigest()
+ manifest_path.write_text(json.dumps(manifest), encoding="utf-8")
+ with pytest.raises(WangSquareRenderError, match="sequence gap"):
+ load_trace_bundle(manifest_path)
+
+ trace = json.loads(
+ (FIXTURE_DIRECTORY / manifest["artifacts"]["trace"]["path"]).read_text(
+ encoding="utf-8"
+ )
+ )
+ propagation = next(item for item in trace["events"] if item["kind"] == "propagation")
+ propagation["reason"] = "decision"
+ encoded = (json.dumps(trace, indent=2) + "\n").encode("utf-8")
+ trace_path.write_bytes(encoded)
+ manifest["artifacts"]["trace"]["sha256"] = hashlib.sha256(encoded).hexdigest()
+ manifest_path.write_text(json.dumps(manifest), encoding="utf-8")
+ with pytest.raises(WangSquareRenderError, match="reserved for reduction"):
+ load_trace_bundle(manifest_path)
+
+
+def test_cli_runs_in_isolated_renderer_process(tmp_path):
+ completed = subprocess.run(
+ [
+ sys.executable,
+ "wang_trace_render.py",
+ str(MANIFEST),
+ str(tmp_path / "rendered"),
+ "--max-frames",
+ "4",
+ ],
+ cwd=RENDERER,
+ check=False,
+ capture_output=True,
+ text=True,
+ )
+
+ assert completed.returncode == 0, completed.stderr
+ assert "animation=" in completed.stdout
+ assert (tmp_path / "rendered/trace.gif").is_file()
+ assert (tmp_path / "rendered/contact-sheet.png").is_file()
diff --git a/renderer/test_wang_z3_summary.py b/renderer/test_wang_z3_summary.py
new file mode 100644
index 0000000..9319699
--- /dev/null
+++ b/renderer/test_wang_z3_summary.py
@@ -0,0 +1,92 @@
+from __future__ import annotations
+
+import json
+from pathlib import Path
+import sys
+
+from PIL import Image
+import pytest
+
+from wang_hex_port import WangSquareRenderError
+from wang_z3_summary import load_z3_encoding_summary, render_wang_z3_assets
+
+
+RENDERER = Path(__file__).resolve().parent
+ROOT = RENDERER.parent
+FIXTURES = ROOT / "tests/fixtures/pipeline_sat_z3"
+GOLDENS = ROOT / "docs/assets/images/z3-encoding"
+
+
+def _tree_bytes(directory: Path) -> dict[str, bytes]:
+ return {
+ path.relative_to(directory).as_posix(): path.read_bytes()
+ for path in directory.rglob("*")
+ if path.is_file()
+ }
+
+
+def test_loads_both_closed_summaries_without_z3_or_native_imports():
+ boolean = load_z3_encoding_summary(FIXTURES / "boolean-z3.json")
+ wang = load_z3_encoding_summary(FIXTURES / "wang-z3.json")
+
+ assert boolean.engine == "boolean-z3"
+ assert boolean.assignment == (False, True, False)
+ assert wang.engine == "wang-z3"
+ assert (wang.width, wang.height) == (41, 11)
+ assert wang.edge_term_count == 944
+ assert wang.shared_internal_edge_count == 832
+ assert wang.cells is not None and len(wang.cells) == 451
+ assert "z3" not in sys.modules
+ assert not any(name.startswith("native") for name in sys.modules)
+
+
+def test_encoding_order_animation_is_byte_stable_and_matches_goldens(tmp_path):
+ source = FIXTURES / "wang-z3.json"
+ first = render_wang_z3_assets(source, tmp_path / "first")
+ render_wang_z3_assets(source, tmp_path / "second")
+
+ assert _tree_bytes(tmp_path / "first") == _tree_bytes(tmp_path / "second")
+ assert _tree_bytes(tmp_path / "first") == _tree_bytes(GOLDENS)
+ assert first.fallback.name == "frame-03.png"
+ with Image.open(first.animation) as animation:
+ assert animation.format == "GIF"
+ assert animation.n_frames == 5
+
+
+def test_rejects_unknown_fields_and_cross_engine_region_identity(tmp_path):
+ source = json.loads(
+ (FIXTURES / "boolean-z3.json").read_text(encoding="utf-8")
+ )
+ source["debug_order"] = []
+ path = tmp_path / "unknown.json"
+ path.write_text(json.dumps(source), encoding="utf-8")
+ with pytest.raises(WangSquareRenderError, match="unknown fields"):
+ load_z3_encoding_summary(path)
+
+ del source["debug_order"]
+ source["region_sha256"] = "0" * 64
+ path.write_text(json.dumps(source), encoding="utf-8")
+ with pytest.raises(WangSquareRenderError, match="region_sha256"):
+ load_z3_encoding_summary(path)
+
+
+def test_rejects_inconsistent_wang_model_and_statistics(tmp_path):
+ source = json.loads((FIXTURES / "wang-z3.json").read_text(encoding="utf-8"))
+ active_index = next(
+ index
+ for index, tile_id in enumerate(source["model"]["cells"])
+ if tile_id is not None
+ )
+ source["model"]["cells"][active_index] = source["encoding"][
+ "unique_tile_tuple_count"
+ ]
+ path = tmp_path / "invalid.json"
+ path.write_text(json.dumps(source), encoding="utf-8")
+ with pytest.raises(WangSquareRenderError, match="canonical tile table"):
+ load_z3_encoding_summary(path)
+
+ source = json.loads((FIXTURES / "wang-z3.json").read_text(encoding="utf-8"))
+ source["statistics"][1]["value"] += 1
+ path.write_text(json.dumps(source), encoding="utf-8")
+ with pytest.raises(WangSquareRenderError, match="project-owned counters"):
+ load_z3_encoding_summary(path)
diff --git a/renderer/wang_algorithm_animation.py b/renderer/wang_algorithm_animation.py
new file mode 100644
index 0000000..53687ec
--- /dev/null
+++ b/renderer/wang_algorithm_animation.py
@@ -0,0 +1,327 @@
+"""Canonical/didactic animations for non-trace pipeline algorithms."""
+
+from __future__ import annotations
+
+import argparse
+from pathlib import Path
+
+from PIL import Image, ImageDraw
+
+from wang_animation import AnimationOutputs, write_animation_assets
+from wang_explain import (
+ EXPLAIN_ACTIVE_RGB,
+ EXPLAIN_MUTED_RGB,
+ EXPLAIN_PANEL_RGB,
+ EXPLAIN_TEXT_RGB,
+ draw_explain_heading,
+ explain_font,
+)
+from wang_hex_port import WangSquareRenderError, check_square_to_hex, reduce_square_to_hex
+from wang_snapshot import load_explainability_bundle
+from wang_square import load_wang_presentation
+
+
+_GADGET_COLORS = {
+ "variable": (75, 137, 201),
+ "left_forward": (89, 170, 122),
+ "crossover": (234, 168, 61),
+ "right_forward": (169, 112, 191),
+ "clause": (214, 91, 91),
+}
+_OPTIMIZATIONS = (
+ ("Dynamic DFS stack", "grow from 16 frames instead of reserving all active cells"),
+ ("Initial trail omission", "do not store undo entries that search cannot consume"),
+ ("SAT ownership transfer", "publish the verified domain buffer without a result copy"),
+ ("Byte support table", "aggregate compatible tiles through three byte lookups"),
+ ("Queue deduplication", "suppress an enqueue while the cell is already pending"),
+)
+
+
+def _base_frame(title: str, subtitle: str, size: tuple[int, int]) -> tuple[Image.Image, ImageDraw.ImageDraw]:
+ image = Image.new("RGB", size, EXPLAIN_PANEL_RGB)
+ draw = ImageDraw.Draw(image)
+ draw_explain_heading(draw, (18, 16), title=title, subtitle=subtitle)
+ return image, draw
+
+
+def _builder_frame(bundle: object, stage: int) -> Image.Image:
+ reduction = bundle.reduction
+ assert reduction is not None
+ image, draw = _base_frame(
+ "Yang-Zhang construction provenance",
+ f"canonical-example stage {stage + 1}/6 | actual gadget spans, not a timed builder trace",
+ (980, 390),
+ )
+ origin_x, origin_y, cell = 18, 92, 15
+ grid_width = bundle.region.width * cell
+ grid_height = bundle.region.height * cell
+ for index, active in enumerate(bundle.region.active):
+ x = origin_x + (index % bundle.region.width) * cell
+ y = origin_y + (index // bundle.region.width) * cell
+ fill = (232, 235, 240) if active else (198, 204, 214)
+ draw.rectangle((x, y, x + cell - 1, y + cell - 1), fill=fill, outline=(187, 193, 203))
+
+ visible_kinds = (
+ (),
+ ("variable",),
+ ("variable", "left_forward"),
+ ("variable", "left_forward", "crossover"),
+ ("variable", "left_forward", "crossover", "right_forward"),
+ tuple(_GADGET_COLORS),
+ )[stage]
+ for gadget in reduction.gadgets:
+ if gadget.kind not in visible_kinds:
+ continue
+ x0 = origin_x + gadget.x_begin * cell
+ y0 = origin_y + gadget.y_begin * cell
+ x1 = origin_x + gadget.x_end * cell - 1
+ y1 = origin_y + gadget.y_end * cell - 1
+ draw.rectangle((x0, y0, x1, y1), outline=_GADGET_COLORS[gadget.kind], width=3)
+
+ legend_x = origin_x + grid_width + 24
+ draw.text((legend_x, 92), "Native sidecar spans", font=explain_font(14), fill=EXPLAIN_TEXT_RGB)
+ y = 126
+ for kind, color in _GADGET_COLORS.items():
+ draw.rectangle((legend_x, y, legend_x + 18, y + 18), fill=color)
+ count = sum(gadget.kind == kind for gadget in reduction.gadgets)
+ draw.text(
+ (legend_x + 27, y + 2),
+ f"{kind.replace('_', ' ')}: {count}",
+ font=explain_font(10),
+ fill=EXPLAIN_TEXT_RGB if kind in visible_kinds else EXPLAIN_MUTED_RGB,
+ )
+ y += 29
+ draw.text(
+ (legend_x, y + 10),
+ f"signals: {len(reduction.source_signals)}\nswaps: "
+ f"{sum(g.kind == 'crossover' for g in reduction.gadgets)}",
+ font=explain_font(10),
+ fill=EXPLAIN_TEXT_RGB,
+ spacing=7,
+ )
+ draw.text(
+ (18, 368),
+ "The provenance describes construction; Region remains presentation-neutral.",
+ font=explain_font(9),
+ fill=EXPLAIN_MUTED_RGB,
+ )
+ return image
+
+
+def render_builder_assets(
+ manifest_path: str | Path,
+ output_directory: str | Path,
+ *,
+ duration_ms: int = 750,
+) -> AnimationOutputs:
+ bundle = load_explainability_bundle(manifest_path)
+ if bundle.reduction is None:
+ raise WangSquareRenderError("builder animation requires reduction provenance")
+ frames = tuple(_builder_frame(bundle, stage) for stage in range(6))
+ return write_animation_assets(
+ frames,
+ tuple(f"frame-{stage:02d}.png" for stage in range(6)),
+ output_directory,
+ fallback_index=4,
+ duration_ms=duration_ms,
+ )
+
+
+def _optimized_frame(stage: int) -> Image.Image:
+ image, draw = _base_frame(
+ "Optimized serial mechanisms",
+ f"didactic stage {stage + 1}/6 | storage/work changes only; search semantics stay shared",
+ (960, 430),
+ )
+ draw.text(
+ (18, 82),
+ "Reference baseline",
+ font=explain_font(14),
+ fill=EXPLAIN_TEXT_RGB,
+ )
+ draw.rounded_rectangle(
+ (18, 106, 245, 392),
+ radius=7,
+ fill=(239, 241, 245),
+ outline=(170, 177, 190),
+ )
+ baseline = (
+ "direct set-tile support loop",
+ "duplicate-accepting FIFO",
+ "initial trail entries",
+ "full DFS frame reserve",
+ "verified SAT result copy",
+ )
+ y = 130
+ for line in baseline:
+ draw.text((34, y), line, font=explain_font(10), fill=EXPLAIN_MUTED_RGB)
+ y += 46
+
+ draw.text((276, 82), "Retained optimized path", font=explain_font(14), fill=EXPLAIN_TEXT_RGB)
+ for index, (name, description) in enumerate(_OPTIMIZATIONS):
+ y = 106 + index * 57
+ active = index < stage
+ current = index == stage - 1
+ draw.rounded_rectangle(
+ (276, y, 928, y + 45),
+ radius=6,
+ fill=(213, 237, 224) if active else (240, 242, 246),
+ outline=(52, 145, 94) if current else (181, 188, 199),
+ width=2 if current else 1,
+ )
+ draw.text(
+ (290, y + 6),
+ name,
+ font=explain_font(11),
+ fill=EXPLAIN_TEXT_RGB if active else EXPLAIN_MUTED_RGB,
+ )
+ draw.text(
+ (472, y + 8),
+ description,
+ font=explain_font(9),
+ fill=EXPLAIN_TEXT_RGB if active else EXPLAIN_MUTED_RGB,
+ )
+ draw.text(
+ (276, 400),
+ "Measured reports establish benefit separately; this animation claims no speedup.",
+ font=explain_font(9),
+ fill=EXPLAIN_MUTED_RGB,
+ )
+ return image
+
+
+def render_optimized_assets(
+ output_directory: str | Path,
+ *,
+ duration_ms: int = 750,
+) -> AnimationOutputs:
+ frames = tuple(_optimized_frame(stage) for stage in range(6))
+ return write_animation_assets(
+ frames,
+ tuple(f"frame-{stage:02d}.png" for stage in range(6)),
+ output_directory,
+ fallback_index=5,
+ duration_ms=duration_ms,
+ )
+
+
+def _draw_square_tile(draw: ImageDraw.ImageDraw, origin: tuple[int, int], edges: tuple[int, ...]) -> None:
+ x, y = origin
+ draw.rectangle((x, y, x + 122, y + 122), fill=EXPLAIN_ACTIVE_RGB, outline=(35, 39, 47), width=3)
+ positions = ((x + 51, y + 6), (x + 105, y + 55), (x + 51, y + 104), (x + 7, y + 55))
+ for label, position in zip((f"N={edges[0]}", f"E={edges[1]}", f"S={edges[2]}", f"W={edges[3]}"), positions, strict=True):
+ draw.text(position, label, font=explain_font(10), fill=EXPLAIN_TEXT_RGB)
+
+
+def _draw_hex_tile(draw: ImageDraw.ImageDraw, origin: tuple[int, int], edges: tuple[int, ...]) -> None:
+ x, y = origin
+ vertices = ((x + 62, y), (x + 122, y + 34), (x + 122, y + 94), (x + 62, y + 128), (x + 2, y + 94), (x + 2, y + 34))
+ draw.polygon(vertices, fill=EXPLAIN_ACTIVE_RGB, outline=(35, 39, 47))
+ labels = (
+ (f"E={edges[0]}", (x + 98, y + 58)),
+ (f"SE={edges[1]}", (x + 78, y + 102)),
+ (f"SW={edges[2]}", (x + 20, y + 102)),
+ (f"W={edges[3]}", (x + 7, y + 58)),
+ (f"NW={edges[4]}", (x + 18, y + 18)),
+ (f"NE={edges[5]}", (x + 77, y + 18)),
+ )
+ for label, position in labels:
+ draw.text(position, label, font=explain_font(9), fill=EXPLAIN_TEXT_RGB)
+
+
+def _hex_frame(square: object, port: object, stage: int) -> Image.Image:
+ image, draw = _base_frame(
+ "Square-to-hex presentation port",
+ f"canonical-example stage {stage + 1}/4 | pure Basire/Culik witness mapping",
+ (920, 430),
+ )
+ source_edges = square.tile_edges[0]
+ target_edges = port.tile_edges[0]
+ _draw_square_tile(draw, (45, 122), source_edges)
+ if stage >= 1:
+ draw.line((190, 184, 366, 184), fill=(55, 126, 168), width=4)
+ draw.polygon(((366, 184), (350, 174), (350, 194)), fill=(55, 126, 168))
+ draw.text(
+ (210, 140),
+ "H(N,E,S,W) =\n(E,S,kappa,W,N,kappa)",
+ font=explain_font(12),
+ fill=EXPLAIN_TEXT_RGB,
+ spacing=5,
+ )
+ if stage >= 2:
+ _draw_hex_tile(draw, (402, 119), target_edges)
+ draw.rounded_rectangle((580, 102, 892, 374), radius=7, fill=(239, 242, 246), outline=(181, 188, 199))
+ lines = [
+ f"square tiles: {len(square.tile_edges)}",
+ f"hex tiles: {len(port.tile_edges)}",
+ f"fresh kappa: {port.fresh_color}",
+ f"cells preserved: {len(square.cells)}",
+ f"holes preserved: {square.cells.count(None)}",
+ ]
+ if stage == 3:
+ lines.extend(("inverse projection: checked", "six-side matching: checked"))
+ y = 126
+ for line in lines:
+ draw.text((600, y), line, font=explain_font(11), fill=EXPLAIN_TEXT_RGB)
+ y += 31
+ draw.text(
+ (18, 400),
+ "The port preserves a verified square witness; raster output is not a correctness oracle.",
+ font=explain_font(9),
+ fill=EXPLAIN_MUTED_RGB,
+ )
+ return image
+
+
+def render_hex_assets(
+ solution_path: str | Path,
+ output_directory: str | Path,
+ *,
+ duration_ms: int = 850,
+) -> AnimationOutputs:
+ square = load_wang_presentation(solution_path)
+ port = reduce_square_to_hex(square)
+ check_square_to_hex(square, port)
+ frames = tuple(_hex_frame(square, port, stage) for stage in range(4))
+ return write_animation_assets(
+ frames,
+ tuple(f"frame-{stage:02d}.png" for stage in range(4)),
+ output_directory,
+ fallback_index=2,
+ duration_ms=duration_ms,
+ )
+
+
+def _parser() -> argparse.ArgumentParser:
+ parser = argparse.ArgumentParser(description="render canonical algorithm animations")
+ subparsers = parser.add_subparsers(dest="mode", required=True)
+ builder = subparsers.add_parser("builder")
+ builder.add_argument("manifest", type=Path)
+ builder.add_argument("output_directory", type=Path)
+ optimized = subparsers.add_parser("optimized")
+ optimized.add_argument("output_directory", type=Path)
+ hex_parser = subparsers.add_parser("hex")
+ hex_parser.add_argument("solution", type=Path)
+ hex_parser.add_argument("output_directory", type=Path)
+ return parser
+
+
+def main(arguments: list[str] | None = None) -> int:
+ parser = _parser()
+ args = parser.parse_args(arguments)
+ try:
+ if args.mode == "builder":
+ outputs = render_builder_assets(args.manifest, args.output_directory)
+ elif args.mode == "optimized":
+ outputs = render_optimized_assets(args.output_directory)
+ else:
+ outputs = render_hex_assets(args.solution, args.output_directory)
+ except (FileNotFoundError, WangSquareRenderError) as error:
+ parser.error(str(error))
+ print(f"animation={outputs.animation}")
+ print(f"fallback={outputs.fallback}")
+ return 0
+
+
+if __name__ == "__main__":
+ raise SystemExit(main())
diff --git a/renderer/wang_animation.py b/renderer/wang_animation.py
new file mode 100644
index 0000000..ac06e51
--- /dev/null
+++ b/renderer/wang_animation.py
@@ -0,0 +1,118 @@
+"""Shared deterministic PNG/contact-sheet/GIF encoding for renderer frames."""
+
+from __future__ import annotations
+
+from dataclasses import dataclass
+import os
+from pathlib import Path
+import tempfile
+
+import numpy as np
+from PIL import Image
+
+from wang_explain import EXPLAIN_OUTLINE_RGB
+from wang_hex_port import WangSquareRenderError
+from wang_square import MAX_CANVAS_PIXELS, MAX_CANVAS_SIDE, _save_png_atomic
+
+
+@dataclass(frozen=True, slots=True)
+class AnimationOutputs:
+ frames: tuple[Path, ...]
+ fallback: Path
+ contact_sheet: Path
+ animation: Path
+
+
+def _save_gif_atomic(
+ frames: tuple[Image.Image, ...],
+ path: Path,
+ duration_ms: int,
+) -> None:
+ temporary: Path | None = None
+ try:
+ with tempfile.NamedTemporaryFile(
+ mode="wb",
+ dir=path.parent,
+ prefix=f".{path.name}.",
+ suffix=".tmp",
+ delete=False,
+ ) as stream:
+ temporary = Path(stream.name)
+ frames[0].save(
+ temporary,
+ format="GIF",
+ save_all=True,
+ append_images=list(frames[1:]),
+ duration=duration_ms,
+ loop=0,
+ disposal=2,
+ optimize=False,
+ )
+ os.replace(temporary, path)
+ temporary = None
+ finally:
+ if temporary is not None:
+ try:
+ temporary.unlink()
+ except FileNotFoundError:
+ pass
+
+
+def write_animation_assets(
+ frames: tuple[Image.Image, ...],
+ frame_names: tuple[str, ...],
+ output_directory: str | Path,
+ *,
+ fallback_index: int,
+ duration_ms: int,
+) -> AnimationOutputs:
+ """Encode one composed frame sequence without reconstructing any frame."""
+ if not frames or len(frames) != len(frame_names):
+ raise WangSquareRenderError("animation frames and names must align")
+ if any(frame.mode != "RGB" or frame.size != frames[0].size for frame in frames):
+ raise WangSquareRenderError("animation frames must share one RGB extent")
+ if len(set(frame_names)) != len(frame_names) or any(
+ not name or Path(name).name != name or not name.endswith(".png")
+ for name in frame_names
+ ):
+ raise WangSquareRenderError("animation frame names must be unique PNG basenames")
+ if type(fallback_index) is not int or not 0 <= fallback_index < len(frames):
+ raise WangSquareRenderError("animation fallback index lies outside frames")
+ if type(duration_ms) is not int or not 40 <= duration_ms <= 10_000:
+ raise WangSquareRenderError("duration_ms must be in [40, 10000]")
+
+ destination = Path(output_directory)
+ destination.mkdir(parents=True, exist_ok=True)
+ frame_paths: list[Path] = []
+ for frame, name in zip(frames, frame_names, strict=True):
+ path = destination / name
+ _save_png_atomic(np.asarray(frame, dtype=np.uint8), path)
+ frame_paths.append(path)
+
+ columns = min(3, len(frames))
+ rows = (len(frames) + columns - 1) // columns
+ frame_width, frame_height = frames[0].size
+ sheet_width = columns * frame_width
+ sheet_height = rows * frame_height
+ if (
+ sheet_width > MAX_CANVAS_SIDE
+ or sheet_height > MAX_CANVAS_SIDE
+ or sheet_width * sheet_height > MAX_CANVAS_PIXELS
+ ):
+ raise WangSquareRenderError("animation contact sheet exceeds canvas limits")
+ sheet = Image.new("RGB", (sheet_width, sheet_height), EXPLAIN_OUTLINE_RGB)
+ for index, frame in enumerate(frames):
+ sheet.paste(
+ frame,
+ ((index % columns) * frame_width, (index // columns) * frame_height),
+ )
+ contact_path = destination / "contact-sheet.png"
+ _save_png_atomic(np.asarray(sheet, dtype=np.uint8), contact_path)
+ animation_path = destination / "trace.gif"
+ _save_gif_atomic(frames, animation_path, duration_ms)
+ return AnimationOutputs(
+ frames=tuple(frame_paths),
+ fallback=frame_paths[fallback_index],
+ contact_sheet=contact_path,
+ animation=animation_path,
+ )
diff --git a/renderer/wang_trace.py b/renderer/wang_trace.py
new file mode 100644
index 0000000..f566a68
--- /dev/null
+++ b/renderer/wang_trace.py
@@ -0,0 +1,668 @@
+"""Strict offline validation and replay for solver trace v1.
+
+The consumer is presentation-only: it loads hash-bound JSON, independently
+replays the recorded semantic deltas. Raster composition and animation live
+in separate downstream modules. This imports neither native code nor solvers.
+"""
+
+from __future__ import annotations
+
+from dataclasses import dataclass
+import hashlib
+from pathlib import Path
+from typing import Final
+
+from wang_hex_port import WangPresentation, WangSquareRenderError
+from wang_snapshot import (
+ FORMULA_SCHEMA,
+ REDUCTION_SCHEMA,
+ REGION_SCHEMA,
+ TILESET_SCHEMA,
+ ExplainabilityBundle,
+ _array,
+ _basename,
+ _fields,
+ _integer,
+ _load_json_bytes,
+ _object,
+ _parse_formula,
+ _parse_reduction,
+ _parse_region,
+ _parse_tileset,
+ _read_bytes,
+ _sha256,
+ _string,
+)
+from wang_square import SCHEMA_NAME as SOLUTION_SCHEMA
+from wang_square import _project_wang_presentation
+
+
+TRACE_SCHEMA: Final = "wang-solver-trace-v1"
+MANIFEST_SCHEMA: Final = "wang-explain-manifest-v3"
+_TRACE_STAGE: Final = "solver-trace"
+_SEMANTICS: Final = "observed"
+_DOMAIN_ALL: Final = (1 << 23) - 1
+_KINDS: Final = frozenset(
+ {
+ "root",
+ "propagation",
+ "decision",
+ "domain_reduction",
+ "conflict",
+ "backtrack",
+ "result",
+ }
+)
+_PHASES: Final = frozenset({"initial", "search"})
+_REASONS: Final = frozenset({"decision", "propagation"})
+_SOLVERS: Final = frozenset({"reference", "optimized"})
+_STATUSES: Final = frozenset({"sat", "unsat"})
+_EVENT_FIELDS: Final = frozenset(
+ {
+ "sequence",
+ "kind",
+ "phase",
+ "reason",
+ "depth",
+ "cell",
+ "change_mark",
+ "old_domain",
+ "new_domain",
+ "status",
+ }
+)
+
+
+@dataclass(frozen=True, slots=True)
+class TraceEvent:
+ sequence: int
+ kind: str
+ phase: str | None
+ reason: str | None
+ depth: int
+ cell: int | None
+ change_mark: int
+ old_domain: int | None
+ new_domain: int | None
+ status: str | None
+
+
+@dataclass(frozen=True, slots=True)
+class TraceCheckpoint:
+ event_sequence: int
+ change_mark: int
+ domains: tuple[int, ...]
+
+
+@dataclass(frozen=True, slots=True)
+class TraceSnapshot:
+ solver: str
+ status: str
+ source_formula_sha256: str
+ region_sha256: str
+ solution_sha256: str | None
+ width: int
+ height: int
+ event_capacity: int
+ observed_event_count: int
+ truncated: bool
+ checkpoint_interval: int
+ checkpoint_capacity: int
+ checkpoints_truncated: bool
+ initial_domains: tuple[int, ...]
+ events: tuple[TraceEvent, ...]
+ checkpoints: tuple[TraceCheckpoint, ...]
+
+
+@dataclass(frozen=True, slots=True)
+class TraceBundle:
+ explanation: ExplainabilityBundle
+ trace: TraceSnapshot
+ solution: WangPresentation | None
+
+
+def _check_reduction_formula_identity(
+ bundle: ExplainabilityBundle,
+) -> None:
+ reduction = bundle.reduction
+ assert reduction is not None
+ variable_count = bundle.formula.variable_count
+ expected_source: list[tuple[str, int, int | None, int | None]] = []
+ for variable in range(variable_count):
+ expected_source.extend(
+ ("variable", 3 * variable + occurrence, variable, occurrence)
+ for occurrence in range(3)
+ )
+ if variable + 1 < variable_count:
+ expected_source.append(
+ ("redundant", 3 * variable_count + variable, None, None)
+ )
+ expected_target: list[tuple[str, int, int | None, int | None]] = []
+ next_occurrence = [0] * variable_count
+ for clause_id, clause in enumerate(bundle.formula.clauses):
+ for variable in clause:
+ occurrence = next_occurrence[variable]
+ next_occurrence[variable] += 1
+ expected_target.append(
+ ("variable", 3 * variable + occurrence, variable, occurrence)
+ )
+ if clause_id + 1 < variable_count:
+ expected_target.append(
+ ("redundant", 3 * variable_count + clause_id, None, None)
+ )
+ if tuple(expected_source) != tuple(
+ signal.identity for signal in reduction.source_signals
+ ):
+ _fail("reduction $.signals.source", "does not match formula")
+ if tuple(expected_target) != tuple(
+ signal.identity for signal in reduction.target_signals
+ ):
+ _fail("reduction $.signals.target", "does not match formula")
+
+
+def _fail(path: str, message: str) -> None:
+ raise WangSquareRenderError(f"solver trace {path}: {message}")
+
+
+def _optional_string(value: object, path: str) -> str | None:
+ if value is None:
+ return None
+ return _string(value, path)
+
+
+def _optional_integer(value: object, path: str) -> int | None:
+ if value is None:
+ return None
+ return _integer(value, path, nonnegative=True)
+
+
+def _boolean(value: object, path: str) -> bool:
+ if type(value) is not bool:
+ _fail(path, "must be a boolean")
+ return value
+
+
+def _domain(value: object, path: str) -> int:
+ domain = _integer(value, path, nonnegative=True)
+ if domain > _DOMAIN_ALL:
+ _fail(path, "exceeds the 23-tile Wang domain")
+ return domain
+
+
+def _reference(
+ value: object,
+ path: str,
+ expected_schema: str,
+) -> tuple[str, str]:
+ reference = _object(value, path)
+ _fields(reference, frozenset({"path", "sha256", "schema"}), path)
+ name = _basename(reference["path"], f"{path}.path")
+ digest = _sha256(reference["sha256"], f"{path}.sha256")
+ if _string(reference["schema"], f"{path}.schema") != expected_schema:
+ _fail(f"{path}.schema", f"must equal {expected_schema!r}")
+ return name, digest
+
+
+def _parse_event(value: object, path: str) -> TraceEvent:
+ event = _object(value, path)
+ _fields(event, _EVENT_FIELDS, path)
+ kind = _string(event["kind"], f"{path}.kind")
+ if kind not in _KINDS:
+ _fail(f"{path}.kind", "is not a supported event kind")
+ phase = _optional_string(event["phase"], f"{path}.phase")
+ if phase is not None and phase not in _PHASES:
+ _fail(f"{path}.phase", "is not a supported phase")
+ reason = _optional_string(event["reason"], f"{path}.reason")
+ if reason is not None and reason not in _REASONS:
+ _fail(f"{path}.reason", "is not a supported reason")
+ status = _optional_string(event["status"], f"{path}.status")
+ if status is not None and status not in _STATUSES:
+ _fail(f"{path}.status", "is not a terminal status")
+ return TraceEvent(
+ sequence=_integer(event["sequence"], f"{path}.sequence", nonnegative=True),
+ kind=kind,
+ phase=phase,
+ reason=reason,
+ depth=_integer(event["depth"], f"{path}.depth", nonnegative=True),
+ cell=_optional_integer(event["cell"], f"{path}.cell"),
+ change_mark=_integer(
+ event["change_mark"], f"{path}.change_mark", nonnegative=True
+ ),
+ old_domain=(
+ None
+ if event["old_domain"] is None
+ else _domain(event["old_domain"], f"{path}.old_domain")
+ ),
+ new_domain=(
+ None
+ if event["new_domain"] is None
+ else _domain(event["new_domain"], f"{path}.new_domain")
+ ),
+ status=status,
+ )
+
+
+def _parse_trace(document: dict[str, object]) -> TraceSnapshot:
+ _fields(
+ document,
+ frozenset(
+ {
+ "schema",
+ "semantics",
+ "solver",
+ "status",
+ "geometry",
+ "source_formula_sha256",
+ "region_sha256",
+ "solution_sha256",
+ "layout",
+ "capacity",
+ "initial_domains",
+ "events",
+ "checkpoints",
+ }
+ ),
+ "trace $",
+ )
+ for field, expected in (
+ ("schema", TRACE_SCHEMA),
+ ("semantics", _SEMANTICS),
+ ("geometry", "square"),
+ ):
+ if _string(document[field], f"trace $.{field}") != expected:
+ _fail(f"trace $.{field}", f"must equal {expected!r}")
+ solver = _string(document["solver"], "trace $.solver")
+ status = _string(document["status"], "trace $.status")
+ if solver not in _SOLVERS or status not in _STATUSES:
+ _fail("trace $", "has an unsupported solver or status")
+ source_digest = _sha256(
+ document["source_formula_sha256"], "trace $.source_formula_sha256"
+ )
+ region_digest = _sha256(document["region_sha256"], "trace $.region_sha256")
+ solution_digest = document["solution_sha256"]
+ if solution_digest is not None:
+ solution_digest = _sha256(solution_digest, "trace $.solution_sha256")
+ if (status == "sat") != (solution_digest is not None):
+ _fail("trace $.solution_sha256", "must be present exactly for SAT")
+
+ layout = _object(document["layout"], "trace $.layout")
+ _fields(
+ layout,
+ frozenset({"width", "height", "tile_count", "indexing"}),
+ "trace $.layout",
+ )
+ width = _integer(layout["width"], "trace $.layout.width", nonnegative=True)
+ height = _integer(
+ layout["height"], "trace $.layout.height", nonnegative=True
+ )
+ if width == 0 or height == 0:
+ _fail("trace $.layout", "dimensions must be positive")
+ if layout["tile_count"] != 23 or type(layout["tile_count"]) is not int:
+ _fail("trace $.layout.tile_count", "must equal 23")
+ if layout["indexing"] != "row-major":
+ _fail("trace $.layout.indexing", "must equal 'row-major'")
+
+ capacity = _object(document["capacity"], "trace $.capacity")
+ _fields(
+ capacity,
+ frozenset(
+ {
+ "event_capacity",
+ "observed_event_count",
+ "truncated",
+ "checkpoint_interval",
+ "checkpoint_capacity",
+ "checkpoints_truncated",
+ }
+ ),
+ "trace $.capacity",
+ )
+ initial = tuple(
+ _domain(item, f"trace $.initial_domains[{index}]")
+ for index, item in enumerate(
+ _array(document["initial_domains"], "trace $.initial_domains")
+ )
+ )
+ events = tuple(
+ _parse_event(item, f"trace $.events[{index}]")
+ for index, item in enumerate(_array(document["events"], "trace $.events"))
+ )
+ checkpoints: list[TraceCheckpoint] = []
+ for index, raw in enumerate(
+ _array(document["checkpoints"], "trace $.checkpoints")
+ ):
+ path = f"trace $.checkpoints[{index}]"
+ checkpoint = _object(raw, path)
+ _fields(
+ checkpoint,
+ frozenset({"event_sequence", "change_mark", "domains"}),
+ path,
+ )
+ checkpoints.append(
+ TraceCheckpoint(
+ event_sequence=_integer(
+ checkpoint["event_sequence"],
+ f"{path}.event_sequence",
+ nonnegative=True,
+ ),
+ change_mark=_integer(
+ checkpoint["change_mark"],
+ f"{path}.change_mark",
+ nonnegative=True,
+ ),
+ domains=tuple(
+ _domain(item, f"{path}.domains[{domain_index}]")
+ for domain_index, item in enumerate(
+ _array(checkpoint["domains"], f"{path}.domains")
+ )
+ ),
+ )
+ )
+ trace = TraceSnapshot(
+ solver=solver,
+ status=status,
+ source_formula_sha256=source_digest,
+ region_sha256=region_digest,
+ solution_sha256=solution_digest,
+ width=width,
+ height=height,
+ event_capacity=_integer(
+ capacity["event_capacity"],
+ "trace $.capacity.event_capacity",
+ nonnegative=True,
+ ),
+ observed_event_count=_integer(
+ capacity["observed_event_count"],
+ "trace $.capacity.observed_event_count",
+ nonnegative=True,
+ ),
+ truncated=_boolean(capacity["truncated"], "trace $.capacity.truncated"),
+ checkpoint_interval=_integer(
+ capacity["checkpoint_interval"],
+ "trace $.capacity.checkpoint_interval",
+ nonnegative=True,
+ ),
+ checkpoint_capacity=_integer(
+ capacity["checkpoint_capacity"],
+ "trace $.capacity.checkpoint_capacity",
+ nonnegative=True,
+ ),
+ checkpoints_truncated=_boolean(
+ capacity["checkpoints_truncated"],
+ "trace $.capacity.checkpoints_truncated",
+ ),
+ initial_domains=initial,
+ events=events,
+ checkpoints=tuple(checkpoints),
+ )
+ replay_trace(trace)
+ return trace
+
+
+def replay_trace(trace: TraceSnapshot) -> tuple[tuple[int, ...], ...]:
+ area = trace.width * trace.height
+ if len(trace.initial_domains) != area:
+ _fail("trace $.initial_domains", "length must equal layout area")
+ if trace.event_capacity < 2 or not 2 <= len(trace.events) <= trace.event_capacity:
+ _fail("trace $.events", "must fit an event capacity of at least two")
+ terminal = trace.events[-1]
+ if trace.events[0].kind != "root" or terminal.kind != "result":
+ _fail("trace $.events", "must start at root and end at result")
+ if terminal.status != trace.status:
+ _fail("trace $.events", "terminal status does not match trace")
+ if terminal.sequence + 1 != trace.observed_event_count:
+ _fail("trace $.capacity.observed_event_count", "does not follow result")
+ if trace.truncated and terminal.sequence <= len(trace.events) - 1:
+ _fail("trace $.events", "truncated trace must contain a sequence gap")
+ if not trace.truncated and trace.observed_event_count != len(trace.events):
+ _fail("trace $.events", "complete trace cannot contain a sequence gap")
+ for index, event in enumerate(trace.events[:-1]):
+ if event.sequence != index:
+ _fail(f"trace $.events[{index}].sequence", "breaks prefix order")
+
+ domains = list(trace.initial_domains)
+ changes: list[tuple[int, int]] = []
+ states: list[tuple[int, ...]] = []
+ checkpoints = {item.event_sequence: item for item in trace.checkpoints}
+ if len(checkpoints) != len(trace.checkpoints):
+ _fail("trace $.checkpoints", "event sequences must be unique")
+ expected_checkpoint_sequences = tuple(
+ trace.checkpoint_interval * (index + 1) - 1
+ for index in range(len(trace.checkpoints))
+ )
+ if tuple(checkpoints) != expected_checkpoint_sequences:
+ _fail("trace $.checkpoints", "does not follow checkpoint_interval")
+ if (trace.checkpoint_interval == 0) != (trace.checkpoint_capacity == 0):
+ _fail("trace $.capacity", "checkpoint settings must be jointly enabled")
+ if len(trace.checkpoints) > trace.checkpoint_capacity:
+ _fail("trace $.checkpoints", "exceeds checkpoint_capacity")
+ checkpoint_opportunities = (
+ 0
+ if trace.checkpoint_interval == 0
+ else (len(trace.events) - int(trace.truncated))
+ // trace.checkpoint_interval
+ )
+ if len(trace.checkpoints) != min(
+ checkpoint_opportunities,
+ trace.checkpoint_capacity,
+ ):
+ _fail("trace $.checkpoints", "count does not match recorded events")
+ if trace.checkpoints_truncated != (
+ checkpoint_opportunities > trace.checkpoint_capacity
+ ):
+ _fail("trace $.capacity.checkpoints_truncated", "is inconsistent")
+
+ for index, event in enumerate(trace.events):
+ if event.kind != "result" and event.status is not None:
+ _fail(f"trace $.events[{index}].status", "is reserved for result")
+ if event.kind != "domain_reduction" and event.reason is not None:
+ _fail(f"trace $.events[{index}].reason", "is reserved for reduction")
+ if event.kind not in ("decision", "domain_reduction") and (
+ event.old_domain is not None or event.new_domain is not None
+ ):
+ _fail(f"trace $.events[{index}]", "must not publish domains")
+ if event.kind == "root":
+ if index != 0 or event.phase != "initial" or event.cell is not None:
+ _fail(f"trace $.events[{index}]", "root fields are inconsistent")
+ if event.change_mark != 0 or event.depth != 0:
+ _fail(f"trace $.events[{index}]", "root counters must equal zero")
+ elif event.kind == "domain_reduction":
+ if event.phase not in _PHASES or event.reason not in _REASONS:
+ _fail(f"trace $.events[{index}]", "reduction needs phase and reason")
+ if event.cell is None or event.cell >= area:
+ _fail(f"trace $.events[{index}].cell", "lies outside layout")
+ if event.old_domain is None or event.new_domain is None:
+ _fail(f"trace $.events[{index}]", "reduction needs both domains")
+ if domains[event.cell] != event.old_domain:
+ _fail(f"trace $.events[{index}].old_domain", "does not match replay")
+ if event.new_domain == event.old_domain or event.new_domain & ~event.old_domain:
+ _fail(f"trace $.events[{index}].new_domain", "must narrow old_domain")
+ changes.append((event.cell, event.old_domain))
+ domains[event.cell] = event.new_domain
+ if event.change_mark != len(changes):
+ _fail(f"trace $.events[{index}].change_mark", "is inconsistent")
+ elif event.kind == "backtrack":
+ if event.phase != "search" or event.change_mark > len(changes):
+ _fail(f"trace $.events[{index}]", "backtrack mark is inconsistent")
+ while len(changes) > event.change_mark:
+ cell, previous = changes.pop()
+ domains[cell] = previous
+ elif not (
+ event.kind == "result" and trace.truncated and event.sequence != index
+ ) and event.change_mark != len(changes):
+ _fail(f"trace $.events[{index}].change_mark", "is inconsistent")
+
+ if event.kind == "decision":
+ if event.phase != "search" or event.cell is None or event.cell >= area:
+ _fail(f"trace $.events[{index}]", "decision cell is inconsistent")
+ if event.old_domain != domains[event.cell]:
+ _fail(f"trace $.events[{index}].old_domain", "does not match replay")
+ if event.new_domain is None or event.new_domain == 0 or (
+ event.new_domain & (event.new_domain - 1)
+ ):
+ _fail(f"trace $.events[{index}].new_domain", "is not a singleton")
+ if event.old_domain is None or event.new_domain & ~event.old_domain:
+ _fail(f"trace $.events[{index}]", "decision lies outside old domain")
+ elif event.kind == "propagation":
+ if event.phase not in _PHASES:
+ _fail(f"trace $.events[{index}].phase", "is required")
+ if (event.phase == "initial") != (event.cell is None):
+ _fail(f"trace $.events[{index}].cell", "does not match phase")
+ if event.phase == "initial" and event.depth != 0:
+ _fail(f"trace $.events[{index}].depth", "must equal zero")
+ elif event.kind == "conflict":
+ if event.phase not in _PHASES or event.cell is None or event.cell >= area:
+ _fail(f"trace $.events[{index}]", "conflict fields are inconsistent")
+ if domains[event.cell] != 0:
+ _fail(f"trace $.events[{index}].cell", "must hold the empty domain")
+ elif event.kind == "result":
+ if index != len(trace.events) - 1 or event.phase is not None:
+ _fail(f"trace $.events[{index}]", "result must be terminal")
+ if (trace.status == "sat") != (event.cell is None):
+ _fail(f"trace $.events[{index}].cell", "does not match status")
+
+ state = tuple(domains)
+ checkpoint = checkpoints.get(event.sequence)
+ if checkpoint is not None and (
+ checkpoint.change_mark != len(changes) or checkpoint.domains != state
+ ):
+ _fail("trace $.checkpoints", "does not match replay state")
+ states.append(state)
+ if any(sequence not in {event.sequence for event in trace.events} for sequence in checkpoints):
+ _fail("trace $.checkpoints", "must reference recorded events")
+ return tuple(states)
+
+
+def _check_trace_region_state(
+ trace: TraceSnapshot,
+ active: tuple[bool, ...],
+) -> None:
+ if len(active) != len(trace.initial_domains):
+ _fail("trace $.initial_domains", "does not match region active mask")
+ for index, is_active in enumerate(active):
+ if not is_active and trace.initial_domains[index] != 0:
+ _fail(
+ f"trace $.initial_domains[{index}]",
+ "inactive cell must be zero",
+ )
+ for checkpoint_index, checkpoint in enumerate(trace.checkpoints):
+ for cell, is_active in enumerate(active):
+ if not is_active and checkpoint.domains[cell] != 0:
+ _fail(
+ f"trace $.checkpoints[{checkpoint_index}].domains[{cell}]",
+ "inactive cell must be zero",
+ )
+ for event_index, event in enumerate(trace.events):
+ if event.cell is not None:
+ if event.cell >= len(active):
+ _fail(
+ f"trace $.events[{event_index}].cell",
+ "lies outside region",
+ )
+ if not active[event.cell]:
+ _fail(
+ f"trace $.events[{event_index}].cell",
+ "must identify an active cell",
+ )
+
+
+def load_trace_bundle(path: str | Path) -> TraceBundle:
+ """Load a v3 bundle, verify identities, and replay the trace offline."""
+ manifest_path = Path(path)
+ manifest = _load_json_bytes(
+ _read_bytes(manifest_path, "solver trace manifest"),
+ str(manifest_path),
+ )
+ _fields(
+ manifest,
+ frozenset({"schema", "stage", "source_formula_sha256", "artifacts"}),
+ "$",
+ )
+ if manifest["schema"] != MANIFEST_SCHEMA or manifest["stage"] != _TRACE_STAGE:
+ _fail("$", "must be a solver-trace v3 manifest")
+ source_digest = _sha256(
+ manifest["source_formula_sha256"], "$.source_formula_sha256"
+ )
+ artifacts = _object(manifest["artifacts"], "$.artifacts")
+ expected = {
+ "formula": FORMULA_SCHEMA,
+ "tileset": TILESET_SCHEMA,
+ "region": REGION_SCHEMA,
+ "reduction": REDUCTION_SCHEMA,
+ "trace": TRACE_SCHEMA,
+ "solution": SOLUTION_SCHEMA,
+ }
+ _fields(artifacts, frozenset(expected), "$.artifacts")
+ documents: dict[str, dict[str, object]] = {}
+ digests: dict[str, str] = {}
+ for name, schema in expected.items():
+ if artifacts[name] is None:
+ if name != "solution":
+ _fail(f"$.artifacts.{name}", "must not be null")
+ continue
+ artifact_name, digest = _reference(
+ artifacts[name], f"$.artifacts.{name}", schema
+ )
+ encoded = _read_bytes(manifest_path.parent / artifact_name, f"{name} artifact")
+ if hashlib.sha256(encoded).hexdigest() != digest:
+ _fail(f"$.artifacts.{name}.sha256", f"does not match {artifact_name}")
+ document = _load_json_bytes(encoded, artifact_name)
+ if document.get("schema") != schema:
+ _fail(f"$.artifacts.{name}.schema", "does not match artifact")
+ documents[name] = document
+ digests[name] = digest
+
+ formula = _parse_formula(documents["formula"])
+ tileset = _parse_tileset(documents["tileset"])
+ region = _parse_region(documents["region"])
+ reduction = _parse_reduction(documents["reduction"])
+ if formula.source_sha256 != source_digest or region.source_formula_sha256 != source_digest:
+ _fail("$.source_formula_sha256", "does not match formula and region")
+ if reduction.source_formula_sha256 != source_digest:
+ _fail("reduction $.source_formula_sha256", "does not match formula")
+ if reduction.region_sha256 != digests["region"]:
+ _fail("reduction $.region_sha256", "does not match region")
+ if reduction.variable_count != formula.variable_count or (
+ reduction.width,
+ reduction.height,
+ ) != (region.width, region.height):
+ _fail("reduction $", "does not match formula and region dimensions")
+
+ explanation = ExplainabilityBundle(
+ source_formula_sha256=source_digest,
+ formula=formula,
+ tileset=tileset,
+ region=region,
+ reduction=reduction,
+ )
+ _check_reduction_formula_identity(explanation)
+
+ trace = _parse_trace(documents["trace"])
+ if trace.source_formula_sha256 != source_digest or trace.region_sha256 != digests["region"]:
+ _fail("trace $", "does not match formula and region")
+ if (trace.width, trace.height) != (region.width, region.height):
+ _fail("trace $.layout", "does not match region")
+ _check_trace_region_state(trace, region.active)
+ solution: WangPresentation | None = None
+ if "solution" in documents:
+ solution = _project_wang_presentation(documents["solution"])
+ if trace.solution_sha256 != digests["solution"]:
+ _fail("trace $.solution_sha256", "does not match solution")
+ if (solution.width, solution.height) != (trace.width, trace.height):
+ _fail("solution $.bounds", "does not match trace layout")
+ if not trace.truncated:
+ final_domains = replay_trace(trace)[-1]
+ expected_domains = tuple(
+ 0 if tile_id is None else 1 << tile_id
+ for tile_id in solution.cells
+ )
+ if final_domains != expected_domains:
+ _fail("trace $", "does not replay to the bound SAT solution")
+ elif trace.status != "unsat" or trace.solution_sha256 is not None:
+ _fail("$.artifacts.solution", "must be present exactly for SAT")
+
+ return TraceBundle(
+ explanation=explanation,
+ trace=trace,
+ solution=solution,
+ )
diff --git a/renderer/wang_trace_render.py b/renderer/wang_trace_render.py
new file mode 100644
index 0000000..76d455d
--- /dev/null
+++ b/renderer/wang_trace_render.py
@@ -0,0 +1,245 @@
+"""Frame selection and raster composition for replayed solver traces."""
+
+from __future__ import annotations
+
+import argparse
+from pathlib import Path
+from typing import Final
+
+from PIL import Image, ImageDraw
+
+from wang_animation import AnimationOutputs, write_animation_assets
+from wang_explain import (
+ EXPLAIN_INACTIVE_DARK_RGB,
+ EXPLAIN_INACTIVE_LIGHT_RGB,
+ EXPLAIN_MUTED_RGB,
+ EXPLAIN_PANEL_RGB,
+ EXPLAIN_TEXT_RGB,
+ draw_explain_heading,
+ explain_font,
+)
+from wang_hex_port import WangSquareRenderError
+from wang_square import MAX_CANVAS_PIXELS, MAX_CANVAS_SIDE
+from wang_trace import TraceBundle, TraceEvent, load_trace_bundle, replay_trace
+
+
+_CELL_SIZE: Final = 18
+_MARGIN: Final = 14
+_HEADER: Final = 76
+_LEGEND_WIDTH: Final = 210
+_GAP: Final = 12
+_UNSAT_RGB: Final = (218, 82, 82)
+_SINGLETON_RGB: Final = (83, 166, 116)
+_CHANGED_RGB: Final = (245, 178, 60)
+
+
+def _selected_indices(events: tuple[TraceEvent, ...], maximum: int) -> tuple[int, ...]:
+ if type(maximum) is not int or not 2 <= maximum <= 32:
+ raise WangSquareRenderError("max_frames must be in [2, 32]")
+ count = len(events)
+ if count <= maximum:
+ return tuple(range(count))
+ priority = [0, count - 1]
+ for kind in ("propagation", "decision", "conflict", "backtrack"):
+ match = next(
+ (index for index, event in enumerate(events) if event.kind == kind),
+ None,
+ )
+ if match is not None:
+ priority.append(match)
+ selected = list(dict.fromkeys(priority))[:maximum]
+ for slot in range(maximum):
+ index = slot * (count - 1) // (maximum - 1)
+ if index not in selected:
+ selected.append(index)
+ if len(selected) == maximum:
+ break
+ return tuple(sorted(selected))
+
+
+def _domain_rgb(domain: int) -> tuple[int, int, int]:
+ if domain == 0:
+ return _UNSAT_RGB
+ count = domain.bit_count()
+ if count == 1:
+ return _SINGLETON_RGB
+ shade = 225 - min(12, count - 2) * 6
+ return (128, max(145, shade - 24), shade)
+
+
+def _compose_frame(
+ bundle: TraceBundle,
+ event: TraceEvent,
+ domains: tuple[int, ...],
+) -> Image.Image:
+ region = bundle.explanation.region
+ grid_width = region.width * _CELL_SIZE
+ grid_height = region.height * _CELL_SIZE
+ width = 2 * _MARGIN + grid_width + _GAP + _LEGEND_WIDTH
+ height = 2 * _MARGIN + _HEADER + max(grid_height, 310)
+ if (
+ width > MAX_CANVAS_SIDE
+ or height > MAX_CANVAS_SIDE
+ or width * height > MAX_CANVAS_PIXELS
+ ):
+ raise WangSquareRenderError("solver trace frame exceeds canvas limits")
+ image = Image.new("RGB", (width, height), EXPLAIN_PANEL_RGB)
+ draw = ImageDraw.Draw(image)
+ subtitle = (
+ f"observed event {event.sequence + 1}/{bundle.trace.observed_event_count}"
+ f" | {event.kind.replace('_', ' ')} | depth {event.depth}"
+ )
+ if (
+ bundle.trace.truncated
+ and event.kind == "result"
+ and event.sequence >= len(bundle.trace.events)
+ ):
+ subtitle += " | prefix state; omitted events are not reconstructed"
+ draw_explain_heading(
+ draw,
+ (_MARGIN, _MARGIN),
+ title=f"Observed {bundle.trace.solver} solver trace",
+ subtitle=subtitle,
+ )
+ top = _MARGIN + _HEADER
+ for index, (active, domain) in enumerate(
+ zip(region.active, domains, strict=True)
+ ):
+ x = _MARGIN + (index % region.width) * _CELL_SIZE
+ y = top + (index // region.width) * _CELL_SIZE
+ box = (x, y, x + _CELL_SIZE - 1, y + _CELL_SIZE - 1)
+ if not active:
+ fill = (
+ EXPLAIN_INACTIVE_LIGHT_RGB
+ if (index % region.width + index // region.width) % 2 == 0
+ else EXPLAIN_INACTIVE_DARK_RGB
+ )
+ else:
+ fill = _domain_rgb(domain)
+ draw.rectangle(box, fill=fill, outline=(178, 184, 194))
+ if active and domain != 0 and domain.bit_count() == 1:
+ tile_id = domain.bit_length() - 1
+ draw.text(
+ (x + 4, y + 2),
+ str(tile_id),
+ font=explain_font(9),
+ fill=EXPLAIN_TEXT_RGB,
+ )
+ if event.cell == index:
+ draw.rectangle(box, outline=_CHANGED_RGB, width=3)
+
+ legend_x = _MARGIN + grid_width + _GAP
+ legend_y = top + 4
+ draw.text(
+ (legend_x, legend_y),
+ "Domain state",
+ font=explain_font(14),
+ fill=EXPLAIN_TEXT_RGB,
+ )
+ entries = (
+ (_SINGLETON_RGB, "singleton / selected tile"),
+ (_domain_rgb(8), "multiple candidate tiles"),
+ (_UNSAT_RGB, "empty domain / conflict"),
+ (_CHANGED_RGB, "current event cell"),
+ )
+ for offset, (color, label) in enumerate(entries, start=1):
+ y = legend_y + offset * 28
+ draw.rectangle((legend_x, y, legend_x + 18, y + 18), fill=color)
+ draw.text(
+ (legend_x + 26, y + 2),
+ label,
+ font=explain_font(10),
+ fill=EXPLAIN_TEXT_RGB,
+ )
+ details = [
+ f"phase: {event.phase or '-'}",
+ f"reason: {event.reason or '-'}",
+ f"change mark: {event.change_mark}",
+ f"active: {sum(region.active)}",
+ f"fixed: {sum(domain.bit_count() == 1 for domain in domains)}",
+ f"empty: {sum(domain == 0 for domain in domains)}",
+ ]
+ y = legend_y + 142
+ for line in details:
+ draw.text(
+ (legend_x, y),
+ line,
+ font=explain_font(10),
+ fill=EXPLAIN_MUTED_RGB,
+ )
+ y += 18
+ draw.text(
+ (legend_x, height - _MARGIN - 15),
+ "Rendering is not a correctness proof.",
+ font=explain_font(9),
+ fill=EXPLAIN_MUTED_RGB,
+ )
+ return image
+
+
+def render_trace_assets(
+ manifest_path: str | Path,
+ output_directory: str | Path,
+ *,
+ max_frames: int = 12,
+ duration_ms: int = 500,
+) -> AnimationOutputs:
+ """Replay once, compose each selected frame once, then encode assets."""
+ bundle = load_trace_bundle(manifest_path)
+ states = replay_trace(bundle.trace)
+ selected = _selected_indices(bundle.trace.events, max_frames)
+ frames = tuple(
+ _compose_frame(bundle, bundle.trace.events[index], states[index])
+ for index in selected
+ )
+ fallback_index = next(
+ (
+ index
+ for index, selected_index in enumerate(selected)
+ if bundle.trace.events[selected_index].kind == "decision"
+ ),
+ len(frames) - 1,
+ )
+ return write_animation_assets(
+ frames,
+ tuple(
+ f"frame-{bundle.trace.events[index].sequence:06d}.png"
+ for index in selected
+ ),
+ output_directory,
+ fallback_index=fallback_index,
+ duration_ms=duration_ms,
+ )
+
+
+def _parser() -> argparse.ArgumentParser:
+ parser = argparse.ArgumentParser(
+ description="replay a solver-trace v3 bundle and render observed states"
+ )
+ parser.add_argument("manifest", type=Path)
+ parser.add_argument("output_directory", type=Path)
+ parser.add_argument("--max-frames", type=int, default=12)
+ parser.add_argument("--duration-ms", type=int, default=500)
+ return parser
+
+
+def main(arguments: list[str] | None = None) -> int:
+ parser = _parser()
+ args = parser.parse_args(arguments)
+ try:
+ outputs = render_trace_assets(
+ args.manifest,
+ args.output_directory,
+ max_frames=args.max_frames,
+ duration_ms=args.duration_ms,
+ )
+ except (FileNotFoundError, WangSquareRenderError) as error:
+ parser.error(str(error))
+ print(f"animation={outputs.animation}")
+ print(f"contact_sheet={outputs.contact_sheet}")
+ print(f"fallback={outputs.fallback}")
+ return 0
+
+
+if __name__ == "__main__":
+ raise SystemExit(main())
diff --git a/renderer/wang_z3_summary.py b/renderer/wang_z3_summary.py
new file mode 100644
index 0000000..22fcdea
--- /dev/null
+++ b/renderer/wang_z3_summary.py
@@ -0,0 +1,433 @@
+"""Z3-free consumer and encoding-order animation for Z3 summary v1."""
+
+from __future__ import annotations
+
+import argparse
+from dataclasses import dataclass
+from pathlib import Path
+
+from PIL import Image, ImageDraw
+
+from wang_animation import AnimationOutputs, write_animation_assets
+from wang_explain import (
+ EXPLAIN_ACTIVE_RGB,
+ EXPLAIN_MUTED_RGB,
+ EXPLAIN_OUTLINE_RGB,
+ EXPLAIN_PANEL_RGB,
+ EXPLAIN_TEXT_RGB,
+ draw_explain_heading,
+ explain_font,
+)
+from wang_hex_port import WangSquareRenderError
+from wang_snapshot import (
+ _array,
+ _fields,
+ _integer,
+ _load_json_bytes,
+ _object,
+ _read_bytes,
+ _sha256,
+ _string,
+)
+
+
+SCHEMA_NAME = "z3-encoding-summary-v1"
+BOOLEAN_ENGINE = "boolean-z3"
+WANG_ENGINE = "wang-z3"
+_WANG_TILE_COUNT = 23
+_BOOLEAN_ORDER = (
+ "variables:ascending-id",
+ "clauses:source-order",
+ "clause-positions:left-to-right",
+)
+_WANG_ORDER = (
+ "cells:row-major",
+ "directions:N,E,S,W",
+ "tile-tuples:first-positional-id",
+ "cell-relation-before-boundary",
+ "boundary-directions:N,E,S,W",
+)
+
+
+@dataclass(frozen=True, slots=True)
+class Z3EncodingSummary:
+ engine: str
+ source_formula_sha256: str
+ region_sha256: str | None
+ version: str
+ random_seed: int
+ threads: int
+ status: str
+ order: tuple[str, ...]
+ variable_count: int
+ width: int
+ height: int
+ active_cell_count: int
+ edge_term_count: int
+ shared_internal_edge_count: int
+ unique_tile_tuple_count: int
+ assertion_count: int
+ assignment: tuple[bool, ...] | None
+ cells: tuple[int | None, ...] | None
+ statistics: tuple[tuple[str, int], ...]
+
+
+def _fail(path: str, message: str) -> None:
+ raise WangSquareRenderError(f"Z3 encoding summary {path}: {message}")
+
+
+def load_z3_encoding_summary(path: str | Path) -> Z3EncodingSummary:
+ """Strictly load a closed summary without importing Z3."""
+ source = Path(path)
+ document = _load_json_bytes(_read_bytes(source, "Z3 summary"), str(source))
+ _fields(
+ document,
+ frozenset(
+ {
+ "schema",
+ "semantics",
+ "engine",
+ "source_formula_sha256",
+ "region_sha256",
+ "z3",
+ "status",
+ "encoding",
+ "model",
+ "statistics",
+ }
+ ),
+ "$",
+ )
+ if document["schema"] != SCHEMA_NAME or document["semantics"] != "encoding-order":
+ _fail("$", "must use the closed encoding-order v1 contract")
+ engine = _string(document["engine"], "$.engine")
+ if engine not in (BOOLEAN_ENGINE, WANG_ENGINE):
+ _fail("$.engine", "is not supported")
+ source_digest = _sha256(
+ document["source_formula_sha256"], "$.source_formula_sha256"
+ )
+ region_digest = document["region_sha256"]
+ if region_digest is not None:
+ region_digest = _sha256(region_digest, "$.region_sha256")
+ if (engine == WANG_ENGINE) != (region_digest is not None):
+ _fail("$.region_sha256", "must be present exactly for Wang Z3")
+
+ z3 = _object(document["z3"], "$.z3")
+ _fields(z3, frozenset({"version", "parameters"}), "$.z3")
+ version = _string(z3["version"], "$.z3.version")
+ if not version:
+ _fail("$.z3.version", "must not be empty")
+ parameters = _object(z3["parameters"], "$.z3.parameters")
+ _fields(parameters, frozenset({"random_seed", "threads"}), "$.z3.parameters")
+ random_seed = _integer(
+ parameters["random_seed"], "$.z3.parameters.random_seed", nonnegative=True
+ )
+ threads = _integer(
+ parameters["threads"], "$.z3.parameters.threads", nonnegative=True
+ )
+ if (random_seed, threads) != (0, 1):
+ _fail("$.z3.parameters", "must equal random_seed=0 and threads=1")
+ status = _string(document["status"], "$.status")
+ if status not in ("sat", "unsat", "unknown"):
+ _fail("$.status", "is not supported")
+
+ encoding = _object(document["encoding"], "$.encoding")
+ count_names = (
+ "variable_count",
+ "width",
+ "height",
+ "active_cell_count",
+ "edge_term_count",
+ "shared_internal_edge_count",
+ "unique_tile_tuple_count",
+ "assertion_count",
+ )
+ _fields(encoding, frozenset({"order", *count_names}), "$.encoding")
+ order = tuple(
+ _string(item, f"$.encoding.order[{index}]")
+ for index, item in enumerate(_array(encoding["order"], "$.encoding.order"))
+ )
+ expected_order = _BOOLEAN_ORDER if engine == BOOLEAN_ENGINE else _WANG_ORDER
+ if order != expected_order:
+ _fail("$.encoding.order", "does not match the engine contract")
+ counts = {
+ name: _integer(encoding[name], f"$.encoding.{name}", nonnegative=True)
+ for name in count_names
+ }
+ if counts["variable_count"] == 0 or counts["assertion_count"] == 0:
+ _fail("$.encoding", "variable and assertion counts must be positive")
+ if engine == BOOLEAN_ENGINE and any(
+ counts[name] != 0 for name in count_names[1:-1]
+ ):
+ _fail("$.encoding", "Boolean summary must not contain Wang counts")
+ if engine == WANG_ENGINE and (
+ any(
+ counts[name] == 0
+ for name in (
+ "width",
+ "height",
+ "active_cell_count",
+ "edge_term_count",
+ )
+ )
+ or counts["unique_tile_tuple_count"] != _WANG_TILE_COUNT
+ ):
+ _fail(
+ "$.encoding",
+ "Wang summary requires region counts and the canonical tile table",
+ )
+ if engine == WANG_ENGINE and (
+ counts["active_cell_count"] > counts["width"] * counts["height"]
+ or counts["edge_term_count"]
+ != 4 * counts["active_cell_count"]
+ - counts["shared_internal_edge_count"]
+ ):
+ _fail("$.encoding", "Wang edge accounting is inconsistent")
+
+ model = _object(document["model"], "$.model")
+ _fields(model, frozenset({"assignment", "cells"}), "$.model")
+ assignment: tuple[bool, ...] | None = None
+ cells: tuple[int | None, ...] | None = None
+ if model["assignment"] is not None:
+ raw_assignment = _array(model["assignment"], "$.model.assignment")
+ if any(type(value) is not bool for value in raw_assignment):
+ _fail("$.model.assignment", "must contain only booleans")
+ assignment = tuple(raw_assignment)
+ if model["cells"] is not None:
+ cells = tuple(
+ None
+ if value is None
+ else _integer(value, f"$.model.cells[{index}]", nonnegative=True)
+ for index, value in enumerate(_array(model["cells"], "$.model.cells"))
+ )
+ if status == "sat" and engine == BOOLEAN_ENGINE:
+ if assignment is None or len(assignment) != counts["variable_count"] or cells is not None:
+ _fail("$.model", "does not match a SAT Boolean result")
+ elif status == "sat":
+ if assignment is not None or cells is None or len(cells) != counts["width"] * counts["height"]:
+ _fail("$.model", "does not match a SAT Wang result")
+ if any(
+ tile_id is not None
+ and tile_id >= counts["unique_tile_tuple_count"]
+ for tile_id in cells
+ ):
+ _fail("$.model.cells", "contains an ID outside the canonical tile table")
+ if sum(tile_id is not None for tile_id in cells) != counts["active_cell_count"]:
+ _fail("$.model.cells", "non-null entries must equal active cells")
+ elif assignment is not None or cells is not None:
+ _fail("$.model", "must be empty for a non-SAT result")
+
+ statistics: list[tuple[str, int]] = []
+ for index, raw in enumerate(_array(document["statistics"], "$.statistics")):
+ item = _object(raw, f"$.statistics[{index}]")
+ _fields(item, frozenset({"name", "value"}), f"$.statistics[{index}]")
+ statistics.append(
+ (
+ _string(item["name"], f"$.statistics[{index}].name"),
+ _integer(
+ item["value"],
+ f"$.statistics[{index}].value",
+ nonnegative=True,
+ ),
+ )
+ )
+ model_entry_count = (
+ len(assignment)
+ if assignment is not None
+ else len(cells)
+ if cells is not None
+ else 0
+ )
+ expected_statistics = (
+ [
+ ("variables", counts["variable_count"]),
+ ("assertions", counts["assertion_count"]),
+ ("model-entries", model_entry_count),
+ ]
+ if engine == BOOLEAN_ENGINE
+ else [
+ ("active-cells", counts["active_cell_count"]),
+ ("edge-terms", counts["edge_term_count"]),
+ ("shared-internal-edges", counts["shared_internal_edge_count"]),
+ ("assertions", counts["assertion_count"]),
+ ("model-entries", model_entry_count),
+ ]
+ )
+ if statistics != expected_statistics:
+ _fail("$.statistics", "must match the ordered project-owned counters")
+ return Z3EncodingSummary(
+ engine=engine,
+ source_formula_sha256=source_digest,
+ region_sha256=region_digest,
+ version=version,
+ random_seed=random_seed,
+ threads=threads,
+ status=status,
+ order=order,
+ assignment=assignment,
+ cells=cells,
+ statistics=tuple(statistics),
+ **counts,
+ )
+
+
+def _compose_wang_frame(summary: Z3EncodingSummary, stage: int) -> Image.Image:
+ width, height = 940, 430
+ image = Image.new("RGB", (width, height), EXPLAIN_PANEL_RGB)
+ draw = ImageDraw.Draw(image)
+ labels = (
+ "configuration",
+ "edge terms",
+ "shared internal edges",
+ "cell relations and boundaries",
+ "result, model, and encoding statistics",
+ )
+ draw_explain_heading(
+ draw,
+ (18, 16),
+ title="Wang Z3 encoding order",
+ subtitle=(
+ f"encoding-order stage {stage + 1}/5 | {labels[stage]} | "
+ "not a Z3 internal execution trace"
+ ),
+ )
+ draw.text(
+ (18, 78),
+ f"Z3 {summary.version} | random_seed={summary.random_seed} | "
+ f"threads={summary.threads}",
+ font=explain_font(12),
+ fill=EXPLAIN_TEXT_RGB,
+ )
+ steps = (
+ "1. create edge terms in row-major cell order",
+ "2. share north/south and east/west internal terms",
+ "3. add one positional tile-tuple relation per active cell",
+ "4. add exposed boundary equalities in N,E,S,W order",
+ "5. check once; copy model and encoding statistics",
+ )
+ for index, label in enumerate(steps):
+ y = 112 + index * 38
+ active = index <= stage
+ draw.rounded_rectangle(
+ (18, y, 455, y + 28),
+ radius=5,
+ fill=(213, 235, 246) if active else (239, 241, 245),
+ outline=(54, 127, 169) if index == stage else (184, 190, 201),
+ width=2 if index == stage else 1,
+ )
+ draw.text(
+ (29, y + 7),
+ label,
+ font=explain_font(10),
+ fill=EXPLAIN_TEXT_RGB if active else EXPLAIN_MUTED_RGB,
+ )
+
+ panel = (485, 106, 922, 402)
+ draw.rounded_rectangle(panel, radius=6, fill=EXPLAIN_ACTIVE_RGB, outline=(180, 187, 198))
+ if stage == 0:
+ lines = (
+ f"formula variables: {summary.variable_count}",
+ f"region: {summary.width} x {summary.height}",
+ f"active cells: {summary.active_cell_count}",
+ "project order is public; Z3 search order is not",
+ )
+ elif stage == 1:
+ lines = (
+ f"distinct edge terms: {summary.edge_term_count}",
+ "N and W reuse already-created neighbor terms",
+ "E and S create the forward row-major frontier",
+ )
+ elif stage == 2:
+ lines = (
+ f"shared internal edges: {summary.shared_internal_edge_count}",
+ "one arithmetic term represents both sides of an adjacency",
+ "no support implications or copied native propagation",
+ )
+ elif stage == 3:
+ lines = (
+ f"unique tile tuples: {summary.unique_tile_tuple_count}",
+ f"assertions: {summary.assertion_count}",
+ "cell relation precedes boundary equalities",
+ )
+ else:
+ lines = (
+ f"result: {summary.status.upper()}",
+ f"model cells: {0 if summary.cells is None else len(summary.cells)}",
+ f"encoding statistics: {len(summary.statistics)}",
+ "internal Z3 counters and debug order are not claimed",
+ )
+ y = 124
+ for line in lines:
+ draw.text((502, y), line, font=explain_font(11), fill=EXPLAIN_TEXT_RGB)
+ y += 27
+
+ if stage == 4 and summary.cells is not None:
+ cell = 8
+ origin_x, origin_y = 502, 246
+ for index, tile_id in enumerate(summary.cells):
+ x = origin_x + (index % summary.width) * cell
+ y = origin_y + (index // summary.width) * cell
+ fill = (205, 210, 218) if tile_id is None else (88, 170, 122)
+ draw.rectangle((x, y, x + cell - 1, y + cell - 1), fill=fill)
+ draw.text(
+ (502, 346),
+ "model projection (inactive positions in gray)",
+ font=explain_font(9),
+ fill=EXPLAIN_MUTED_RGB,
+ )
+ draw.text(
+ (18, 408),
+ "Rendering explains the declared encoding order; it makes no claim about Z3's internal decisions.",
+ font=explain_font(9),
+ fill=EXPLAIN_MUTED_RGB,
+ )
+ return image
+
+
+def render_wang_z3_assets(
+ summary_path: str | Path,
+ output_directory: str | Path,
+ *,
+ duration_ms: int = 800,
+) -> AnimationOutputs:
+ summary = load_z3_encoding_summary(summary_path)
+ if summary.engine != WANG_ENGINE:
+ raise WangSquareRenderError("encoding animation requires a Wang Z3 summary")
+ frames = tuple(_compose_wang_frame(summary, stage) for stage in range(5))
+ return write_animation_assets(
+ frames,
+ tuple(f"frame-{stage:02d}.png" for stage in range(5)),
+ output_directory,
+ fallback_index=3,
+ duration_ms=duration_ms,
+ )
+
+
+def _parser() -> argparse.ArgumentParser:
+ parser = argparse.ArgumentParser(
+ description="render the declared Wang Z3 encoding order without Z3"
+ )
+ parser.add_argument("summary", type=Path)
+ parser.add_argument("output_directory", type=Path)
+ parser.add_argument("--duration-ms", type=int, default=800)
+ return parser
+
+
+def main(arguments: list[str] | None = None) -> int:
+ parser = _parser()
+ args = parser.parse_args(arguments)
+ try:
+ outputs = render_wang_z3_assets(
+ args.summary,
+ args.output_directory,
+ duration_ms=args.duration_ms,
+ )
+ except (FileNotFoundError, WangSquareRenderError) as error:
+ parser.error(str(error))
+ print(f"animation={outputs.animation}")
+ print(f"fallback={outputs.fallback}")
+ return 0
+
+
+if __name__ == "__main__":
+ raise SystemExit(main())
diff --git a/schemas/wang-explain-manifest-v3.schema.json b/schemas/wang-explain-manifest-v3.schema.json
new file mode 100644
index 0000000..16c0a8f
--- /dev/null
+++ b/schemas/wang-explain-manifest-v3.schema.json
@@ -0,0 +1,80 @@
+{
+ "$schema": "https://json-schema.org/draft/2020-12/schema",
+ "$id": "urn:tiling-foundry:schema:wang-explain-manifest-v3",
+ "title": "Tiling Foundry solver-trace explainability manifest v3",
+ "type": "object",
+ "additionalProperties": false,
+ "required": ["schema", "stage", "source_formula_sha256", "artifacts"],
+ "properties": {
+ "schema": {"const": "wang-explain-manifest-v3"},
+ "stage": {"const": "solver-trace"},
+ "source_formula_sha256": {"$ref": "#/$defs/sha256"},
+ "artifacts": {
+ "type": "object",
+ "additionalProperties": false,
+ "required": [
+ "formula",
+ "tileset",
+ "region",
+ "reduction",
+ "trace",
+ "solution"
+ ],
+ "properties": {
+ "formula": {
+ "$ref": "#/$defs/reference",
+ "properties": {"schema": {"const": "cm13-formula-snapshot-v1"}}
+ },
+ "tileset": {
+ "$ref": "#/$defs/reference",
+ "properties": {"schema": {"const": "wang-tileset-snapshot-v1"}}
+ },
+ "region": {
+ "$ref": "#/$defs/reference",
+ "properties": {"schema": {"const": "wang-region-snapshot-v1"}}
+ },
+ "reduction": {
+ "$ref": "#/$defs/reference",
+ "properties": {
+ "schema": {"const": "wang-reduction-explanation-v1"}
+ }
+ },
+ "trace": {
+ "$ref": "#/$defs/reference",
+ "properties": {"schema": {"const": "wang-solver-trace-v1"}}
+ },
+ "solution": {
+ "oneOf": [
+ {
+ "$ref": "#/$defs/reference",
+ "properties": {"schema": {"const": "wang-solution-v1"}}
+ },
+ {"type": "null"}
+ ]
+ }
+ }
+ }
+ },
+ "$defs": {
+ "sha256": {
+ "type": "string",
+ "pattern": "^[0-9a-f]{64}$"
+ },
+ "artifact_path": {
+ "type": "string",
+ "minLength": 1,
+ "pattern": "^[^/\\]+$",
+ "not": {"enum": [".", ".."]}
+ },
+ "reference": {
+ "type": "object",
+ "additionalProperties": false,
+ "required": ["path", "sha256", "schema"],
+ "properties": {
+ "path": {"$ref": "#/$defs/artifact_path"},
+ "sha256": {"$ref": "#/$defs/sha256"},
+ "schema": {"type": "string"}
+ }
+ }
+ }
+}
diff --git a/schemas/wang-solver-trace-v1.schema.json b/schemas/wang-solver-trace-v1.schema.json
new file mode 100644
index 0000000..4919744
--- /dev/null
+++ b/schemas/wang-solver-trace-v1.schema.json
@@ -0,0 +1,165 @@
+{
+ "$schema": "https://json-schema.org/draft/2020-12/schema",
+ "$id": "urn:tiling-foundry:schema:wang-solver-trace-v1",
+ "title": "Tiling Foundry observed native solver trace v1",
+ "type": "object",
+ "additionalProperties": false,
+ "required": [
+ "schema",
+ "semantics",
+ "solver",
+ "status",
+ "geometry",
+ "source_formula_sha256",
+ "region_sha256",
+ "solution_sha256",
+ "layout",
+ "capacity",
+ "initial_domains",
+ "events",
+ "checkpoints"
+ ],
+ "properties": {
+ "schema": {"const": "wang-solver-trace-v1"},
+ "semantics": {"const": "observed"},
+ "solver": {"enum": ["reference", "optimized"]},
+ "status": {"enum": ["sat", "unsat"]},
+ "geometry": {"const": "square"},
+ "source_formula_sha256": {"$ref": "#/$defs/sha256"},
+ "region_sha256": {"$ref": "#/$defs/sha256"},
+ "solution_sha256": {
+ "oneOf": [
+ {"$ref": "#/$defs/sha256"},
+ {"type": "null"}
+ ]
+ },
+ "layout": {
+ "type": "object",
+ "additionalProperties": false,
+ "required": ["width", "height", "tile_count", "indexing"],
+ "properties": {
+ "width": {"type": "integer", "minimum": 1},
+ "height": {"type": "integer", "minimum": 1},
+ "tile_count": {"const": 23},
+ "indexing": {"const": "row-major"}
+ }
+ },
+ "capacity": {
+ "type": "object",
+ "additionalProperties": false,
+ "required": [
+ "event_capacity",
+ "observed_event_count",
+ "truncated",
+ "checkpoint_interval",
+ "checkpoint_capacity",
+ "checkpoints_truncated"
+ ],
+ "properties": {
+ "event_capacity": {"type": "integer", "minimum": 2},
+ "observed_event_count": {"type": "integer", "minimum": 2},
+ "truncated": {"type": "boolean"},
+ "checkpoint_interval": {"type": "integer", "minimum": 0},
+ "checkpoint_capacity": {"type": "integer", "minimum": 0},
+ "checkpoints_truncated": {"type": "boolean"}
+ }
+ },
+ "initial_domains": {
+ "type": "array",
+ "minItems": 1,
+ "items": {"$ref": "#/$defs/domain"}
+ },
+ "events": {
+ "type": "array",
+ "minItems": 2,
+ "items": {"$ref": "#/$defs/event"}
+ },
+ "checkpoints": {
+ "type": "array",
+ "items": {"$ref": "#/$defs/checkpoint"}
+ }
+ },
+ "allOf": [
+ {
+ "if": {"properties": {"status": {"const": "sat"}}},
+ "then": {"properties": {"solution_sha256": {"$ref": "#/$defs/sha256"}}},
+ "else": {"properties": {"solution_sha256": {"type": "null"}}}
+ }
+ ],
+ "$defs": {
+ "sha256": {
+ "type": "string",
+ "pattern": "^[0-9a-f]{64}$"
+ },
+ "domain": {
+ "type": "integer",
+ "minimum": 0,
+ "maximum": 8388607
+ },
+ "event": {
+ "type": "object",
+ "additionalProperties": false,
+ "required": [
+ "sequence",
+ "kind",
+ "phase",
+ "reason",
+ "depth",
+ "cell",
+ "change_mark",
+ "old_domain",
+ "new_domain",
+ "status"
+ ],
+ "properties": {
+ "sequence": {"type": "integer", "minimum": 0},
+ "kind": {
+ "enum": [
+ "root",
+ "propagation",
+ "decision",
+ "domain_reduction",
+ "conflict",
+ "backtrack",
+ "result"
+ ]
+ },
+ "phase": {
+ "type": ["string", "null"],
+ "enum": [null, "initial", "search"]
+ },
+ "reason": {
+ "type": ["string", "null"],
+ "enum": [null, "decision", "propagation"]
+ },
+ "depth": {"type": "integer", "minimum": 0},
+ "cell": {"type": ["integer", "null"], "minimum": 0},
+ "change_mark": {"type": "integer", "minimum": 0},
+ "old_domain": {
+ "oneOf": [{"$ref": "#/$defs/domain"}, {"type": "null"}]
+ },
+ "new_domain": {
+ "oneOf": [{"$ref": "#/$defs/domain"}, {"type": "null"}]
+ },
+ "status": {
+ "type": ["string", "null"],
+ "enum": [null, "sat", "unsat"]
+ }
+ }
+ },
+ "checkpoint": {
+ "type": "object",
+ "additionalProperties": false,
+ "required": ["event_sequence", "change_mark", "domains"],
+ "properties": {
+ "event_sequence": {"type": "integer", "minimum": 0},
+ "change_mark": {"type": "integer", "minimum": 0},
+ "domains": {
+ "type": "array",
+ "minItems": 1,
+ "items": {"$ref": "#/$defs/domain"}
+ }
+ }
+ }
+ }
+}
diff --git a/schemas/z3-encoding-summary-v1.schema.json b/schemas/z3-encoding-summary-v1.schema.json
new file mode 100644
index 0000000..71c6bf3
--- /dev/null
+++ b/schemas/z3-encoding-summary-v1.schema.json
@@ -0,0 +1,134 @@
+{
+ "$schema": "https://json-schema.org/draft/2020-12/schema",
+ "$id": "urn:tiling-foundry:schema:z3-encoding-summary-v1",
+ "title": "Tiling Foundry explicit Z3 encoding summary v1",
+ "type": "object",
+ "additionalProperties": false,
+ "required": [
+ "schema",
+ "semantics",
+ "engine",
+ "source_formula_sha256",
+ "region_sha256",
+ "z3",
+ "status",
+ "encoding",
+ "model",
+ "statistics"
+ ],
+ "properties": {
+ "schema": {"const": "z3-encoding-summary-v1"},
+ "semantics": {"const": "encoding-order"},
+ "engine": {"enum": ["boolean-z3", "wang-z3"]},
+ "source_formula_sha256": {"$ref": "#/$defs/sha256"},
+ "region_sha256": {
+ "oneOf": [{"$ref": "#/$defs/sha256"}, {"type": "null"}]
+ },
+ "z3": {
+ "type": "object",
+ "additionalProperties": false,
+ "required": ["version", "parameters"],
+ "properties": {
+ "version": {"type": "string", "minLength": 1},
+ "parameters": {
+ "type": "object",
+ "additionalProperties": false,
+ "required": ["random_seed", "threads"],
+ "properties": {
+ "random_seed": {"const": 0},
+ "threads": {"const": 1}
+ }
+ }
+ }
+ },
+ "status": {"enum": ["sat", "unsat", "unknown"]},
+ "encoding": {
+ "type": "object",
+ "additionalProperties": false,
+ "required": [
+ "order",
+ "variable_count",
+ "width",
+ "height",
+ "active_cell_count",
+ "edge_term_count",
+ "shared_internal_edge_count",
+ "unique_tile_tuple_count",
+ "assertion_count"
+ ],
+ "properties": {
+ "order": {
+ "type": "array",
+ "minItems": 3,
+ "items": {"type": "string", "minLength": 1}
+ },
+ "variable_count": {"type": "integer", "minimum": 1},
+ "width": {"type": "integer", "minimum": 0},
+ "height": {"type": "integer", "minimum": 0},
+ "active_cell_count": {"type": "integer", "minimum": 0},
+ "edge_term_count": {"type": "integer", "minimum": 0},
+ "shared_internal_edge_count": {"type": "integer", "minimum": 0},
+ "unique_tile_tuple_count": {"type": "integer", "minimum": 0},
+ "assertion_count": {"type": "integer", "minimum": 1}
+ }
+ },
+ "model": {
+ "type": "object",
+ "additionalProperties": false,
+ "required": ["assignment", "cells"],
+ "properties": {
+ "assignment": {
+ "oneOf": [
+ {"type": "array", "items": {"type": "boolean"}},
+ {"type": "null"}
+ ]
+ },
+ "cells": {
+ "oneOf": [
+ {
+ "type": "array",
+ "items": {
+ "type": ["integer", "null"],
+ "minimum": 0,
+ "maximum": 22
+ }
+ },
+ {"type": "null"}
+ ]
+ }
+ }
+ },
+ "statistics": {
+ "type": "array",
+ "items": {
+ "type": "object",
+ "additionalProperties": false,
+ "required": ["name", "value"],
+ "properties": {
+ "name": {"type": "string", "minLength": 1},
+ "value": {"type": "integer", "minimum": 0}
+ }
+ }
+ }
+ },
+ "allOf": [
+ {
+ "if": {"properties": {"engine": {"const": "boolean-z3"}}},
+ "then": {"properties": {"region_sha256": {"type": "null"}}},
+ "else": {
+ "properties": {
+ "region_sha256": {"$ref": "#/$defs/sha256"},
+ "encoding": {
+ "properties": {"unique_tile_tuple_count": {"const": 23}}
+ }
+ }
+ }
+ }
+ ],
+ "$defs": {
+ "sha256": {
+ "type": "string",
+ "pattern": "^[0-9a-f]{64}$"
+ }
+ }
+}
diff --git a/src/solver/solver_event_trace.c b/src/solver/solver_event_trace.c
new file mode 100644
index 0000000..ea6d10e
--- /dev/null
+++ b/src/solver/solver_event_trace.c
@@ -0,0 +1,252 @@
+#include "solver_event_trace.h"
+
+#include
+#include
+
+static bool checked_mul_size(size_t a, size_t b, size_t *out)
+{
+ if (out == NULL || (a != 0 && b > SIZE_MAX / a)) {
+ return false;
+ }
+ *out = a * b;
+ return true;
+}
+
+bool solver_event_trace_options_are_valid(
+ const WangSolveTraceOptions *options
+)
+{
+ if (options == NULL || options->event_capacity < 2) {
+ return false;
+ }
+ const bool checkpoints_disabled = options->checkpoint_interval == 0 &&
+ options->checkpoint_capacity == 0;
+ const bool checkpoints_enabled = options->checkpoint_interval != 0 &&
+ options->checkpoint_capacity != 0;
+ return checkpoints_disabled || checkpoints_enabled;
+}
+
+bool solver_event_trace_is_destroyed(const WangSolveTrace *trace)
+{
+ return trace != NULL &&
+ trace->initial_domains == NULL &&
+ trace->domain_count == 0 &&
+ trace->events == NULL &&
+ trace->event_count == 0 &&
+ trace->observed_event_count == 0 &&
+ trace->event_capacity == 0 &&
+ !trace->truncated &&
+ trace->checkpoints == NULL &&
+ trace->checkpoint_domains == NULL &&
+ trace->checkpoint_count == 0 &&
+ trace->checkpoint_interval == 0 &&
+ trace->checkpoint_capacity == 0 &&
+ !trace->checkpoints_truncated;
+}
+
+void wang_solve_trace_destroy(WangSolveTrace *trace)
+{
+ if (trace == NULL) {
+ return;
+ }
+ free(trace->checkpoint_domains);
+ free(trace->checkpoints);
+ free(trace->events);
+ free(trace->initial_domains);
+ *trace = (WangSolveTrace){0};
+}
+
+void wang_traced_solve_result_destroy(WangTracedSolveResult *result)
+{
+ if (result == NULL) {
+ return;
+ }
+ wang_solve_result_destroy(&result->solve);
+ wang_solve_trace_destroy(&result->trace);
+}
+
+void solver_event_trace_discard(SolverEventTrace *recorder)
+{
+ if (recorder == NULL) {
+ return;
+ }
+ wang_solve_trace_destroy(&recorder->trace);
+ *recorder = (SolverEventTrace){0};
+}
+
+bool solver_event_trace_init(
+ SolverEventTrace *recorder,
+ const WangSolveTraceOptions *options,
+ const uint32_t *initial_domains,
+ size_t domain_count
+)
+{
+ size_t domain_bytes;
+ size_t event_bytes;
+ if (recorder == NULL || !solver_event_trace_options_are_valid(options) ||
+ initial_domains == NULL || domain_count == 0 ||
+ !checked_mul_size(domain_count, sizeof(*initial_domains), &domain_bytes) ||
+ !checked_mul_size(
+ options->event_capacity,
+ sizeof(WangSolveTraceEvent),
+ &event_bytes
+ )) {
+ return false;
+ }
+
+ *recorder = (SolverEventTrace){0};
+ WangSolveTrace *trace = &recorder->trace;
+ trace->initial_domains = malloc(domain_bytes);
+ trace->events = malloc(event_bytes);
+ if (trace->initial_domains == NULL || trace->events == NULL) {
+ solver_event_trace_discard(recorder);
+ return false;
+ }
+
+ if (options->checkpoint_capacity != 0) {
+ size_t checkpoint_bytes;
+ size_t checkpoint_domain_count;
+ size_t checkpoint_domain_bytes;
+ if (!checked_mul_size(
+ options->checkpoint_capacity,
+ sizeof(*trace->checkpoints),
+ &checkpoint_bytes
+ ) ||
+ !checked_mul_size(
+ options->checkpoint_capacity,
+ domain_count,
+ &checkpoint_domain_count
+ ) ||
+ !checked_mul_size(
+ checkpoint_domain_count,
+ sizeof(*trace->checkpoint_domains),
+ &checkpoint_domain_bytes
+ )) {
+ solver_event_trace_discard(recorder);
+ return false;
+ }
+ trace->checkpoints = malloc(checkpoint_bytes);
+ trace->checkpoint_domains = malloc(checkpoint_domain_bytes);
+ if (trace->checkpoints == NULL || trace->checkpoint_domains == NULL) {
+ solver_event_trace_discard(recorder);
+ return false;
+ }
+ }
+
+ memcpy(trace->initial_domains, initial_domains, domain_bytes);
+ trace->domain_count = domain_count;
+ trace->event_capacity = options->event_capacity;
+ trace->checkpoint_interval = options->checkpoint_interval;
+ trace->checkpoint_capacity = options->checkpoint_capacity;
+ return true;
+}
+
+static void maybe_record_checkpoint(
+ SolverEventTrace *recorder,
+ const WangSolveTraceEvent *event,
+ const uint32_t *domains
+)
+{
+ WangSolveTrace *trace = &recorder->trace;
+ if (trace->checkpoint_interval == 0 ||
+ trace->event_count % trace->checkpoint_interval != 0) {
+ return;
+ }
+ if (trace->checkpoint_count == trace->checkpoint_capacity) {
+ trace->checkpoints_truncated = true;
+ return;
+ }
+
+ const size_t checkpoint = trace->checkpoint_count++;
+ trace->checkpoints[checkpoint] = (WangSolveTraceCheckpoint){
+ .event_sequence = event->sequence,
+ .change_mark = event->change_mark,
+ };
+ memcpy(
+ &trace->checkpoint_domains[checkpoint * trace->domain_count],
+ domains,
+ trace->domain_count * sizeof(*domains)
+ );
+}
+
+void solver_event_trace_record(
+ SolverEventTrace *recorder,
+ WangSolveTraceEventKind kind,
+ WangSolveTracePhase phase,
+ WangSolveTraceReason reason,
+ size_t depth,
+ size_t cell_index,
+ size_t change_mark,
+ uint32_t old_domain,
+ uint32_t new_domain,
+ WangSolveStatus status,
+ const uint32_t *domains
+)
+{
+ if (recorder == NULL || recorder->trace.events == NULL) {
+ return;
+ }
+
+ const uint64_t sequence = recorder->next_sequence++;
+ WangSolveTrace *trace = &recorder->trace;
+ if (recorder->frozen || trace->event_count + 1 >= trace->event_capacity) {
+ recorder->frozen = true;
+ trace->truncated = true;
+ return;
+ }
+
+ WangSolveTraceEvent *event = &trace->events[trace->event_count++];
+ *event = (WangSolveTraceEvent){
+ .sequence = sequence,
+ .kind = kind,
+ .phase = phase,
+ .reason = reason,
+ .depth = depth,
+ .cell_index = cell_index,
+ .change_mark = change_mark,
+ .old_domain = old_domain,
+ .new_domain = new_domain,
+ .status = status,
+ };
+ maybe_record_checkpoint(recorder, event, domains);
+}
+
+bool solver_event_trace_finish(
+ SolverEventTrace *recorder,
+ WangSolveStatus status,
+ size_t depth,
+ size_t cell_index,
+ size_t change_mark,
+ const uint32_t *domains,
+ WangSolveTrace *out_trace
+)
+{
+ if (recorder == NULL || out_trace == NULL ||
+ !solver_event_trace_is_destroyed(out_trace) ||
+ recorder->trace.events == NULL ||
+ domains == NULL ||
+ recorder->trace.event_count >= recorder->trace.event_capacity ||
+ (status != WANG_SOLVE_SAT && status != WANG_SOLVE_UNSAT)) {
+ return false;
+ }
+
+ WangSolveTraceEvent *event =
+ &recorder->trace.events[recorder->trace.event_count++];
+ *event = (WangSolveTraceEvent){
+ .sequence = recorder->next_sequence++,
+ .kind = WANG_TRACE_EVENT_RESULT,
+ .phase = WANG_TRACE_PHASE_NONE,
+ .reason = WANG_TRACE_REASON_NONE,
+ .depth = depth,
+ .cell_index = cell_index,
+ .change_mark = change_mark,
+ .status = status,
+ };
+ if (!recorder->trace.truncated) {
+ maybe_record_checkpoint(recorder, event, domains);
+ }
+ recorder->trace.observed_event_count = recorder->next_sequence;
+ *out_trace = recorder->trace;
+ *recorder = (SolverEventTrace){0};
+ return true;
+}
diff --git a/src/solver/solver_event_trace.h b/src/solver/solver_event_trace.h
new file mode 100644
index 0000000..d99adc4
--- /dev/null
+++ b/src/solver/solver_event_trace.h
@@ -0,0 +1,55 @@
+#ifndef WANG_SOLVER_EVENT_TRACE_H
+#define WANG_SOLVER_EVENT_TRACE_H
+
+#include
+#include
+#include
+
+#include "wang/solver_trace.h"
+
+typedef struct {
+ WangSolveTrace trace;
+ uint64_t next_sequence;
+ bool frozen;
+} SolverEventTrace;
+
+bool solver_event_trace_options_are_valid(
+ const WangSolveTraceOptions *options
+);
+
+bool solver_event_trace_is_destroyed(const WangSolveTrace *trace);
+
+bool solver_event_trace_init(
+ SolverEventTrace *recorder,
+ const WangSolveTraceOptions *options,
+ const uint32_t *initial_domains,
+ size_t domain_count
+);
+
+void solver_event_trace_record(
+ SolverEventTrace *recorder,
+ WangSolveTraceEventKind kind,
+ WangSolveTracePhase phase,
+ WangSolveTraceReason reason,
+ size_t depth,
+ size_t cell_index,
+ size_t change_mark,
+ uint32_t old_domain,
+ uint32_t new_domain,
+ WangSolveStatus status,
+ const uint32_t *domains
+);
+
+bool solver_event_trace_finish(
+ SolverEventTrace *recorder,
+ WangSolveStatus status,
+ size_t depth,
+ size_t cell_index,
+ size_t change_mark,
+ const uint32_t *domains,
+ WangSolveTrace *out_trace
+);
+
+void solver_event_trace_discard(SolverEventTrace *recorder);
+
+#endif /* WANG_SOLVER_EVENT_TRACE_H */
diff --git a/src/solver/solver_serial.c b/src/solver/solver_serial.c
index a762384..415e618 100644
--- a/src/solver/solver_serial.c
+++ b/src/solver/solver_serial.c
@@ -2,6 +2,7 @@
#include "byte_support_table.h"
#include "failed_leaf_trace.h"
+#include "solver_event_trace.h"
#include "wang/tile.h"
#include "wang/verify.h"
@@ -95,6 +96,11 @@ typedef struct {
bool capture_unsat_snapshot;
WangSolverMetrics metrics;
FailedLeafWriter writer;
+
+ SolverEventTrace event_trace;
+ bool trace_events;
+ size_t trace_change_mark;
+ size_t trace_search_base;
} SolverState;
typedef enum {
@@ -226,6 +232,7 @@ static void solver_state_destroy(SolverState *state)
if (state->writer.active) {
(void)failed_leaf_writer_finish(&state->writer);
}
+ solver_event_trace_discard(&state->event_trace);
free(state->domains);
free(state->neighbor_mask);
free(state->byte_support);
@@ -470,7 +477,9 @@ static void begin_trail_interval(SolverState *state)
static bool restrict_domain(
SolverState *state,
size_t cell_index,
- uint32_t new_domain
+ uint32_t new_domain,
+ WangSolveTraceReason trace_reason,
+ size_t depth
)
{
const uint32_t old_domain = state->domains[cell_index];
@@ -478,6 +487,10 @@ static bool restrict_domain(
return true;
}
+ if (state->trace_events && state->trace_change_mark == SIZE_MAX) {
+ return false;
+ }
+
if (state->record_trail) {
if (state->trail_count == SIZE_MAX) {
return false;
@@ -527,6 +540,24 @@ static bool restrict_domain(
state->metrics.trail_peak = state->trail_count;
}
}
+ if (state->trace_events) {
+ ++state->trace_change_mark;
+ solver_event_trace_record(
+ &state->event_trace,
+ WANG_TRACE_EVENT_DOMAIN_REDUCTION,
+ state->trail_phase == TRAIL_PHASE_INITIAL
+ ? WANG_TRACE_PHASE_INITIAL
+ : WANG_TRACE_PHASE_SEARCH,
+ trace_reason,
+ depth,
+ cell_index,
+ state->trace_change_mark,
+ old_domain,
+ new_domain,
+ WANG_SOLVE_ERROR,
+ state->domains
+ );
+ }
return true;
}
@@ -605,7 +636,8 @@ static uint32_t supported_neighbor_domain(
static PropagateStatus propagate_queue(
SolverState *state,
- size_t *out_conflict_cell
+ size_t *out_conflict_cell,
+ size_t depth
)
{
size_t head = 0;
@@ -645,7 +677,13 @@ static PropagateStatus propagate_queue(
continue;
}
- if (!restrict_domain(state, adjacent, new_domain)) {
+ if (!restrict_domain(
+ state,
+ adjacent,
+ new_domain,
+ WANG_TRACE_REASON_PROPAGATION,
+ depth
+ )) {
queue_discard_pending(state, head);
return PROPAGATE_ERROR;
}
@@ -669,14 +707,15 @@ static PropagateStatus propagate_queue(
static PropagateStatus propagate_from_cell(
SolverState *state,
size_t cell_index,
- size_t *out_conflict_cell
+ size_t *out_conflict_cell,
+ size_t depth
)
{
state->queue_count = 0;
if (!queue_push(state, cell_index)) {
return PROPAGATE_ERROR;
}
- return propagate_queue(state, out_conflict_cell);
+ return propagate_queue(state, out_conflict_cell, depth);
}
static PropagateStatus propagate_initial(
@@ -691,7 +730,7 @@ static PropagateStatus propagate_initial(
return PROPAGATE_ERROR;
}
}
- return propagate_queue(state, out_conflict_cell);
+ return propagate_queue(state, out_conflict_cell, 0);
}
static bool record_failed_leaf(
@@ -899,6 +938,7 @@ static WangSolveStatus search(
SearchFrame *frame = &stack.frames[stack.count - 1];
if (frame->candidates == 0) {
const size_t entry_mark = frame->entry_mark;
+ const size_t frame_cell = frame->cell_index;
--stack.count;
if (stack.count == 0) {
status = WANG_SOLVE_UNSAT;
@@ -906,6 +946,23 @@ static WangSolveStatus search(
}
rollback_to(state, entry_mark);
+ if (state->trace_events) {
+ state->trace_change_mark =
+ state->trace_search_base + entry_mark;
+ solver_event_trace_record(
+ &state->event_trace,
+ WANG_TRACE_EVENT_BACKTRACK,
+ WANG_TRACE_PHASE_SEARCH,
+ WANG_TRACE_REASON_NONE,
+ stack.count,
+ frame_cell,
+ state->trace_change_mark,
+ 0,
+ 0,
+ WANG_SOLVE_ERROR,
+ state->domains
+ );
+ }
if (state->collect_metrics) {
++state->metrics.backtracks;
}
@@ -915,6 +972,23 @@ static WangSolveStatus search(
const TileId tile = first_set_tile(frame->candidates);
const uint32_t singleton = UINT32_C(1) << tile;
frame->candidates &= frame->candidates - UINT32_C(1);
+ const size_t branch_depth = stack.count;
+
+ if (state->trace_events) {
+ solver_event_trace_record(
+ &state->event_trace,
+ WANG_TRACE_EVENT_DECISION,
+ WANG_TRACE_PHASE_SEARCH,
+ WANG_TRACE_REASON_NONE,
+ branch_depth,
+ frame->cell_index,
+ state->trace_change_mark,
+ state->domains[frame->cell_index],
+ singleton,
+ WANG_SOLVE_ERROR,
+ state->domains
+ );
+ }
if (state->collect_metrics) {
++state->metrics.decisions;
@@ -922,7 +996,13 @@ static WangSolveStatus search(
const size_t mark = state->trail_count;
begin_trail_interval(state);
- if (!restrict_domain(state, frame->cell_index, singleton)) {
+ if (!restrict_domain(
+ state,
+ frame->cell_index,
+ singleton,
+ WANG_TRACE_REASON_DECISION,
+ branch_depth
+ )) {
rollback_to(state, mark);
break;
}
@@ -931,7 +1011,8 @@ static WangSolveStatus search(
const PropagateStatus propagated = propagate_from_cell(
state,
frame->cell_index,
- &conflict_cell
+ &conflict_cell,
+ branch_depth
);
if (propagated == PROPAGATE_ERROR) {
@@ -939,8 +1020,37 @@ static WangSolveStatus search(
break;
}
- const size_t branch_depth = stack.count;
+ if (state->trace_events) {
+ solver_event_trace_record(
+ &state->event_trace,
+ WANG_TRACE_EVENT_PROPAGATION,
+ WANG_TRACE_PHASE_SEARCH,
+ WANG_TRACE_REASON_NONE,
+ branch_depth,
+ frame->cell_index,
+ state->trace_change_mark,
+ 0,
+ 0,
+ WANG_SOLVE_ERROR,
+ state->domains
+ );
+ }
if (propagated == PROPAGATE_CONFLICT) {
+ if (state->trace_events) {
+ solver_event_trace_record(
+ &state->event_trace,
+ WANG_TRACE_EVENT_CONFLICT,
+ WANG_TRACE_PHASE_SEARCH,
+ WANG_TRACE_REASON_NONE,
+ branch_depth,
+ conflict_cell,
+ state->trace_change_mark,
+ 0,
+ 0,
+ WANG_SOLVE_ERROR,
+ state->domains
+ );
+ }
if (!record_failed_leaf(
state,
conflict_cell,
@@ -973,6 +1083,22 @@ static WangSolveStatus search(
}
rollback_to(state, mark);
+ if (state->trace_events) {
+ state->trace_change_mark = state->trace_search_base + mark;
+ solver_event_trace_record(
+ &state->event_trace,
+ WANG_TRACE_EVENT_BACKTRACK,
+ WANG_TRACE_PHASE_SEARCH,
+ WANG_TRACE_REASON_NONE,
+ branch_depth,
+ frame->cell_index,
+ state->trace_change_mark,
+ 0,
+ 0,
+ WANG_SOLVE_ERROR,
+ state->domains
+ );
+ }
if (state->collect_metrics) {
++state->metrics.backtracks;
}
@@ -1203,11 +1329,17 @@ static WangSolveStatus solve_wang_core(
const Region *region,
const WangSolverOptions *options,
WangSolveResult *out_result,
- SolverMechanisms mechanisms
+ SolverMechanisms mechanisms,
+ const WangSolveTraceOptions *trace_options,
+ WangSolveTrace *out_trace
)
{
if (!result_is_destroyed(out_result) ||
- !solver_options_are_valid(options)) {
+ !solver_options_are_valid(options) ||
+ ((trace_options == NULL) != (out_trace == NULL)) ||
+ (trace_options != NULL &&
+ (!solver_event_trace_options_are_valid(trace_options) ||
+ !solver_event_trace_is_destroyed(out_trace)))) {
return WANG_SOLVE_ERROR;
}
@@ -1268,9 +1400,35 @@ static WangSolveStatus solve_wang_core(
return WANG_SOLVE_ERROR;
}
- const bool trace_requested = options != NULL &&
+ if (trace_options != NULL) {
+ if (!solver_event_trace_init(
+ &state.event_trace,
+ trace_options,
+ state.domains,
+ state.cell_count
+ )) {
+ solver_state_destroy(&state);
+ return WANG_SOLVE_ERROR;
+ }
+ state.trace_events = true;
+ solver_event_trace_record(
+ &state.event_trace,
+ WANG_TRACE_EVENT_ROOT,
+ WANG_TRACE_PHASE_INITIAL,
+ WANG_TRACE_REASON_NONE,
+ 0,
+ SIZE_MAX,
+ 0,
+ 0,
+ 0,
+ WANG_SOLVE_ERROR,
+ state.domains
+ );
+ }
+
+ const bool failed_leaf_trace_requested = options != NULL &&
(options->flags & WANG_SOLVE_TRACE_FAILED_LEAVES) != 0;
- if (trace_requested && !failed_leaf_writer_init(
+ if (failed_leaf_trace_requested && !failed_leaf_writer_init(
&state.writer,
options->failed_leaf_path,
options->failed_leaf_capacity,
@@ -1282,6 +1440,21 @@ static WangSolveStatus solve_wang_core(
WangSolveStatus status;
if (initial_conflict != SIZE_MAX) {
+ if (state.trace_events) {
+ solver_event_trace_record(
+ &state.event_trace,
+ WANG_TRACE_EVENT_CONFLICT,
+ WANG_TRACE_PHASE_INITIAL,
+ WANG_TRACE_REASON_NONE,
+ 0,
+ initial_conflict,
+ state.trace_change_mark,
+ 0,
+ 0,
+ WANG_SOLVE_ERROR,
+ state.domains
+ );
+ }
if (!record_failed_leaf(&state, initial_conflict, 0)) {
solver_state_destroy(&state);
return WANG_SOLVE_ERROR;
@@ -1298,7 +1471,37 @@ static WangSolveStatus solve_wang_core(
solver_state_destroy(&state);
return WANG_SOLVE_ERROR;
}
+ if (state.trace_events) {
+ solver_event_trace_record(
+ &state.event_trace,
+ WANG_TRACE_EVENT_PROPAGATION,
+ WANG_TRACE_PHASE_INITIAL,
+ WANG_TRACE_REASON_NONE,
+ 0,
+ SIZE_MAX,
+ state.trace_change_mark,
+ 0,
+ 0,
+ WANG_SOLVE_ERROR,
+ state.domains
+ );
+ }
if (initial_status == PROPAGATE_CONFLICT) {
+ if (state.trace_events) {
+ solver_event_trace_record(
+ &state.event_trace,
+ WANG_TRACE_EVENT_CONFLICT,
+ WANG_TRACE_PHASE_INITIAL,
+ WANG_TRACE_REASON_NONE,
+ 0,
+ conflict_cell,
+ state.trace_change_mark,
+ 0,
+ 0,
+ WANG_SOLVE_ERROR,
+ state.domains
+ );
+ }
if (!record_failed_leaf(&state, conflict_cell, 0)) {
solver_state_destroy(&state);
return WANG_SOLVE_ERROR;
@@ -1308,6 +1511,7 @@ static WangSolveStatus solve_wang_core(
state.trail_count = 0;
state.trail_phase = TRAIL_PHASE_SEARCH;
state.record_trail = true;
+ state.trace_search_base = state.trace_change_mark;
status = search(&state, mechanisms.stack_mode);
}
}
@@ -1356,6 +1560,19 @@ static WangSolveStatus solve_wang_core(
return WANG_SOLVE_ERROR;
}
+ if (state.trace_events && !solver_event_trace_finish(
+ &state.event_trace,
+ status,
+ state.best_depth,
+ status == WANG_SOLVE_SAT ? SIZE_MAX : state.best_conflict_cell,
+ state.trace_change_mark,
+ state.domains,
+ out_trace
+ )) {
+ solver_state_destroy(&state);
+ return WANG_SOLVE_ERROR;
+ }
+
const bool return_domains = status == WANG_SOLVE_SAT ||
state.capture_unsat_snapshot;
const bool transfer_sat_domains = status == WANG_SOLVE_SAT &&
@@ -1403,7 +1620,9 @@ WangSolveStatus wang_solve_serial(
.transfer_sat_domains = false,
.use_bytewise_support = false,
.deduplicate_queue = false,
- }
+ },
+ NULL,
+ NULL
);
}
@@ -1423,6 +1642,67 @@ WangSolveStatus wang_solve_optimized(
.transfer_sat_domains = true,
.use_bytewise_support = true,
.deduplicate_queue = WANG_OPTIMIZED_QUEUE_DEDUP != 0,
- }
+ },
+ NULL,
+ NULL
+ );
+}
+
+static bool traced_result_is_destroyed(const WangTracedSolveResult *result)
+{
+ return result != NULL &&
+ result_is_destroyed(&result->solve) &&
+ solver_event_trace_is_destroyed(&result->trace);
+}
+
+WangSolveStatus wang_solve_serial_traced(
+ const Region *region,
+ const WangSolverOptions *solver_options,
+ const WangSolveTraceOptions *trace_options,
+ WangTracedSolveResult *out_result
+)
+{
+ if (!traced_result_is_destroyed(out_result)) {
+ return WANG_SOLVE_ERROR;
+ }
+ return solve_wang_core(
+ region,
+ solver_options,
+ &out_result->solve,
+ (SolverMechanisms) {
+ .stack_mode = SEARCH_STACK_FIXED,
+ .record_initial_trail = true,
+ .transfer_sat_domains = false,
+ .use_bytewise_support = false,
+ .deduplicate_queue = false,
+ },
+ trace_options,
+ &out_result->trace
+ );
+}
+
+WangSolveStatus wang_solve_optimized_traced(
+ const Region *region,
+ const WangSolverOptions *solver_options,
+ const WangSolveTraceOptions *trace_options,
+ WangTracedSolveResult *out_result
+)
+{
+ if (!traced_result_is_destroyed(out_result)) {
+ return WANG_SOLVE_ERROR;
+ }
+ return solve_wang_core(
+ region,
+ solver_options,
+ &out_result->solve,
+ (SolverMechanisms) {
+ .stack_mode = SEARCH_STACK_DYNAMIC,
+ .record_initial_trail = false,
+ .transfer_sat_domains = true,
+ .use_bytewise_support = true,
+ .deduplicate_queue = WANG_OPTIMIZED_QUEUE_DEDUP != 0,
+ },
+ trace_options,
+ &out_result->trace
);
}
diff --git a/tests/c/test_solver_event_trace.c b/tests/c/test_solver_event_trace.c
new file mode 100644
index 0000000..222e681
--- /dev/null
+++ b/tests/c/test_solver_event_trace.c
@@ -0,0 +1,360 @@
+#include "wang/solver_trace.h"
+
+#include "wang/tile.h"
+
+#include
+#include
+#include
+#include
+#include
+#include
+
+typedef WangSolveStatus (*TracedSolveFunction)(
+ const Region *,
+ const WangSolverOptions *,
+ const WangSolveTraceOptions *,
+ WangTracedSolveResult *
+);
+
+typedef WangSolveStatus (*SolveFunction)(
+ const Region *,
+ const WangSolverOptions *,
+ WangSolveResult *
+);
+
+typedef struct {
+ size_t cell_index;
+ uint32_t old_domain;
+} ReplayChange;
+
+static void activate_all(Region *region)
+{
+ for (int32_t y = 0; y < region->height; ++y) {
+ for (int32_t x = 0; x < region->width; ++x) {
+ assert(region_set_active(region, x, y, true));
+ }
+ }
+}
+
+static void build_backtracking_region(Region *region)
+{
+ assert(region_init(region, 4, 4));
+ activate_all(region);
+ assert(region_set_boundary(region, 1, 0, N, COLOR_R));
+ assert(region_set_boundary(region, 2, 3, S, COLOR_B));
+ assert(region_set_boundary(region, 0, 3, W, COLOR_1));
+ assert(region_set_boundary(region, 3, 1, E, COLOR_1));
+ assert(region_set_boundary(region, 3, 3, E, COLOR_0));
+}
+
+static bool trace_event_equal(
+ const WangSolveTraceEvent *left,
+ const WangSolveTraceEvent *right
+)
+{
+ return left->sequence == right->sequence &&
+ left->kind == right->kind &&
+ left->phase == right->phase &&
+ left->reason == right->reason &&
+ left->depth == right->depth &&
+ left->cell_index == right->cell_index &&
+ left->change_mark == right->change_mark &&
+ left->old_domain == right->old_domain &&
+ left->new_domain == right->new_domain &&
+ left->status == right->status;
+}
+
+static void assert_trace_equal(
+ const WangSolveTrace *left,
+ const WangSolveTrace *right
+)
+{
+ assert(left->domain_count == right->domain_count);
+ assert(left->event_count == right->event_count);
+ assert(left->observed_event_count == right->observed_event_count);
+ assert(left->event_capacity == right->event_capacity);
+ assert(left->truncated == right->truncated);
+ assert(left->checkpoint_count == right->checkpoint_count);
+ assert(left->checkpoint_interval == right->checkpoint_interval);
+ assert(left->checkpoint_capacity == right->checkpoint_capacity);
+ assert(left->checkpoints_truncated == right->checkpoints_truncated);
+ assert(memcmp(
+ left->initial_domains,
+ right->initial_domains,
+ left->domain_count * sizeof(*left->initial_domains)
+ ) == 0);
+ for (size_t i = 0; i < left->event_count; ++i) {
+ assert(trace_event_equal(&left->events[i], &right->events[i]));
+ }
+ for (size_t i = 0; i < left->checkpoint_count; ++i) {
+ assert(left->checkpoints[i].event_sequence ==
+ right->checkpoints[i].event_sequence);
+ assert(left->checkpoints[i].change_mark ==
+ right->checkpoints[i].change_mark);
+ }
+ assert(memcmp(
+ left->checkpoint_domains,
+ right->checkpoint_domains,
+ left->checkpoint_count * left->domain_count *
+ sizeof(*left->checkpoint_domains)
+ ) == 0);
+}
+
+static void assert_trace_replays(
+ const WangSolveTrace *trace,
+ const WangSolveResult *solve
+)
+{
+ assert(!trace->truncated);
+ assert(trace->event_count == trace->observed_event_count);
+ assert(trace->event_count >= 2);
+ assert(trace->events[0].kind == WANG_TRACE_EVENT_ROOT);
+ assert(trace->events[trace->event_count - 1].kind ==
+ WANG_TRACE_EVENT_RESULT);
+
+ uint32_t *domains = malloc(
+ trace->domain_count * sizeof(*domains)
+ );
+ ReplayChange *changes = malloc(
+ trace->observed_event_count * sizeof(*changes)
+ );
+ assert(domains != NULL);
+ assert(changes != NULL);
+ memcpy(
+ domains,
+ trace->initial_domains,
+ trace->domain_count * sizeof(*domains)
+ );
+
+ bool kinds[WANG_TRACE_EVENT_RESULT + 1] = {false};
+ size_t change_count = 0;
+ size_t checkpoint = 0;
+ for (size_t i = 0; i < trace->event_count; ++i) {
+ const WangSolveTraceEvent *event = &trace->events[i];
+ assert(event->sequence == i);
+ assert(event->kind <= WANG_TRACE_EVENT_RESULT);
+ kinds[event->kind] = true;
+ if (event->kind == WANG_TRACE_EVENT_DOMAIN_REDUCTION) {
+ assert(event->cell_index < trace->domain_count);
+ assert(domains[event->cell_index] == event->old_domain);
+ assert((event->new_domain & ~event->old_domain) == 0);
+ assert(event->new_domain != event->old_domain);
+ changes[change_count++] = (ReplayChange){
+ .cell_index = event->cell_index,
+ .old_domain = event->old_domain,
+ };
+ domains[event->cell_index] = event->new_domain;
+ assert(event->change_mark == change_count);
+ } else if (event->kind == WANG_TRACE_EVENT_BACKTRACK) {
+ assert(event->change_mark <= change_count);
+ while (change_count > event->change_mark) {
+ const ReplayChange change = changes[--change_count];
+ domains[change.cell_index] = change.old_domain;
+ }
+ } else {
+ assert(event->change_mark == change_count);
+ }
+
+ if (checkpoint < trace->checkpoint_count &&
+ trace->checkpoints[checkpoint].event_sequence == event->sequence) {
+ assert(trace->checkpoints[checkpoint].change_mark == change_count);
+ assert(memcmp(
+ domains,
+ &trace->checkpoint_domains[
+ checkpoint * trace->domain_count
+ ],
+ trace->domain_count * sizeof(*domains)
+ ) == 0);
+ ++checkpoint;
+ }
+ }
+ assert(checkpoint == trace->checkpoint_count);
+ assert(kinds[WANG_TRACE_EVENT_ROOT]);
+ assert(kinds[WANG_TRACE_EVENT_PROPAGATION]);
+ assert(kinds[WANG_TRACE_EVENT_DECISION]);
+ assert(kinds[WANG_TRACE_EVENT_DOMAIN_REDUCTION]);
+ assert(kinds[WANG_TRACE_EVENT_CONFLICT]);
+ assert(kinds[WANG_TRACE_EVENT_BACKTRACK]);
+ assert(kinds[WANG_TRACE_EVENT_RESULT]);
+ assert(trace->events[trace->event_count - 1].status == WANG_SOLVE_SAT);
+ assert(solve->domain_count == trace->domain_count);
+ assert(memcmp(
+ domains,
+ solve->domains,
+ trace->domain_count * sizeof(*domains)
+ ) == 0);
+
+ free(changes);
+ free(domains);
+}
+
+static void assert_traced_path(
+ SolveFunction plain_solve,
+ TracedSolveFunction traced_solve
+)
+{
+ Region region = {0};
+ build_backtracking_region(®ion);
+ const WangSolverOptions solver_options = {
+ .flags = WANG_SOLVE_COLLECT_METRICS,
+ };
+ const WangSolveTraceOptions trace_options = {
+ .event_capacity = 4096,
+ .checkpoint_interval = 7,
+ .checkpoint_capacity = 64,
+ };
+ WangSolveResult plain = {0};
+ WangTracedSolveResult first = {0};
+ WangTracedSolveResult second = {0};
+
+ assert(plain_solve(®ion, &solver_options, &plain) == WANG_SOLVE_SAT);
+ assert(traced_solve(
+ ®ion,
+ &solver_options,
+ &trace_options,
+ &first
+ ) == WANG_SOLVE_SAT);
+ assert(traced_solve(
+ ®ion,
+ &solver_options,
+ &trace_options,
+ &second
+ ) == WANG_SOLVE_SAT);
+
+ assert(plain.domain_count == first.solve.domain_count);
+ assert(memcmp(
+ plain.domains,
+ first.solve.domains,
+ plain.domain_count * sizeof(*plain.domains)
+ ) == 0);
+ assert(memcmp(
+ &plain.metrics,
+ &first.solve.metrics,
+ sizeof(plain.metrics)
+ ) == 0);
+ assert_trace_equal(&first.trace, &second.trace);
+ assert_trace_replays(&first.trace, &first.solve);
+ assert(!first.trace.checkpoints_truncated);
+ assert(first.trace.checkpoint_count > 0);
+
+ wang_solve_result_destroy(&plain);
+ wang_traced_solve_result_destroy(&first);
+ wang_traced_solve_result_destroy(&first);
+ wang_traced_solve_result_destroy(&second);
+ region_destroy(®ion);
+}
+
+static void test_reference_and_optimized_traces_are_replayable(void)
+{
+ assert_traced_path(wang_solve_serial, wang_solve_serial_traced);
+ assert_traced_path(wang_solve_optimized, wang_solve_optimized_traced);
+}
+
+static void test_capacity_keeps_root_and_terminal_result(void)
+{
+ Region region = {0};
+ build_backtracking_region(®ion);
+ const WangSolveTraceOptions options = { .event_capacity = 2 };
+ WangTracedSolveResult result = {0};
+
+ assert(wang_solve_serial_traced(
+ ®ion,
+ NULL,
+ &options,
+ &result
+ ) == WANG_SOLVE_SAT);
+ assert(result.trace.event_count == 2);
+ assert(result.trace.events[0].kind == WANG_TRACE_EVENT_ROOT);
+ assert(result.trace.events[1].kind == WANG_TRACE_EVENT_RESULT);
+ assert(result.trace.events[1].sequence > 1);
+ assert(result.trace.observed_event_count ==
+ result.trace.events[1].sequence + 1);
+ assert(result.trace.truncated);
+
+ wang_traced_solve_result_destroy(&result);
+ region_destroy(®ion);
+}
+
+static void test_root_conflict_and_contract_rejections(void)
+{
+ Region region = {0};
+ assert(region_init(®ion, 1, 1));
+ activate_all(®ion);
+ assert(region_set_boundary(®ion, 0, 0, N, COLOR_V));
+
+ const WangSolveTraceOptions options = {
+ .event_capacity = 8,
+ .checkpoint_interval = 1,
+ .checkpoint_capacity = 1,
+ };
+ WangTracedSolveResult result = {0};
+ assert(wang_solve_optimized_traced(
+ ®ion,
+ NULL,
+ &options,
+ &result
+ ) == WANG_SOLVE_UNSAT);
+ assert(result.trace.event_count == 3);
+ assert(result.trace.events[0].kind == WANG_TRACE_EVENT_ROOT);
+ assert(result.trace.events[1].kind == WANG_TRACE_EVENT_CONFLICT);
+ assert(result.trace.events[1].cell_index == 0);
+ assert(result.trace.events[2].kind == WANG_TRACE_EVENT_RESULT);
+ assert(result.trace.events[2].status == WANG_SOLVE_UNSAT);
+ assert(result.trace.checkpoint_count == 1);
+ assert(result.trace.checkpoints_truncated);
+ wang_traced_solve_result_destroy(&result);
+
+ const WangSolveTraceOptions terminal_checkpoint = {
+ .event_capacity = 8,
+ .checkpoint_interval = 3,
+ .checkpoint_capacity = 1,
+ };
+ assert(wang_solve_optimized_traced(
+ ®ion,
+ NULL,
+ &terminal_checkpoint,
+ &result
+ ) == WANG_SOLVE_UNSAT);
+ assert(result.trace.checkpoint_count == 1);
+ assert(result.trace.checkpoints[0].event_sequence == 2);
+ assert(!result.trace.checkpoints_truncated);
+ wang_traced_solve_result_destroy(&result);
+
+ const WangSolveTraceOptions too_small = { .event_capacity = 1 };
+ assert(wang_solve_serial_traced(
+ ®ion,
+ NULL,
+ &too_small,
+ &result
+ ) == WANG_SOLVE_ERROR);
+ const WangSolveTraceOptions mismatched_checkpoints = {
+ .event_capacity = 4,
+ .checkpoint_interval = 2,
+ };
+ assert(wang_solve_serial_traced(
+ ®ion,
+ NULL,
+ &mismatched_checkpoints,
+ &result
+ ) == WANG_SOLVE_ERROR);
+ result.trace.event_count = 1;
+ assert(wang_solve_serial_traced(
+ ®ion,
+ NULL,
+ &options,
+ &result
+ ) == WANG_SOLVE_ERROR);
+ result.trace.event_count = 0;
+
+ region_destroy(®ion);
+}
+
+int main(void)
+{
+ test_reference_and_optimized_traces_are_replayable();
+ test_capacity_keeps_root_and_terminal_result();
+ test_root_conflict_and_contract_rejections();
+
+ puts("test_solver_event_trace: OK");
+ return 0;
+}
diff --git a/tests/fixtures/pipeline_sat_solver_trace/formula-5098eb9a85adebf28757b1368e9307fdb5fea0617de3256b717ead1af1d67815.json b/tests/fixtures/pipeline_sat_solver_trace/formula-5098eb9a85adebf28757b1368e9307fdb5fea0617de3256b717ead1af1d67815.json
new file mode 100644
index 0000000..e7775ba
--- /dev/null
+++ b/tests/fixtures/pipeline_sat_solver_trace/formula-5098eb9a85adebf28757b1368e9307fdb5fea0617de3256b717ead1af1d67815.json
@@ -0,0 +1,34 @@
+{
+ "schema": "cm13-formula-snapshot-v1",
+ "source": {
+ "name": "pipeline_sat.cm13",
+ "sha256": "3caaa6b29ac988fb4f51cc7071202d83ea1591ba6170e683b6da449cb3641542"
+ },
+ "variable_count": 3,
+ "clauses": [
+ {
+ "clause_id": 0,
+ "variables": [
+ 0,
+ 0,
+ 1
+ ]
+ },
+ {
+ "clause_id": 1,
+ "variables": [
+ 0,
+ 1,
+ 2
+ ]
+ },
+ {
+ "clause_id": 2,
+ "variables": [
+ 1,
+ 2,
+ 2
+ ]
+ }
+ ]
+}
diff --git a/tests/fixtures/pipeline_sat_solver_trace/manifest.json b/tests/fixtures/pipeline_sat_solver_trace/manifest.json
new file mode 100644
index 0000000..771321c
--- /dev/null
+++ b/tests/fixtures/pipeline_sat_solver_trace/manifest.json
@@ -0,0 +1,37 @@
+{
+ "schema": "wang-explain-manifest-v3",
+ "stage": "solver-trace",
+ "source_formula_sha256": "3caaa6b29ac988fb4f51cc7071202d83ea1591ba6170e683b6da449cb3641542",
+ "artifacts": {
+ "formula": {
+ "path": "formula-5098eb9a85adebf28757b1368e9307fdb5fea0617de3256b717ead1af1d67815.json",
+ "sha256": "5098eb9a85adebf28757b1368e9307fdb5fea0617de3256b717ead1af1d67815",
+ "schema": "cm13-formula-snapshot-v1"
+ },
+ "tileset": {
+ "path": "tileset-462a102690c420bfe52a634e7b365a6be3bfcf59169f0acd96264831196723fa.json",
+ "sha256": "462a102690c420bfe52a634e7b365a6be3bfcf59169f0acd96264831196723fa",
+ "schema": "wang-tileset-snapshot-v1"
+ },
+ "region": {
+ "path": "region-aad4dc7dcb46ed070995bf975248a7f2f0bf27d69db3eb653208d08c5826199a.json",
+ "sha256": "aad4dc7dcb46ed070995bf975248a7f2f0bf27d69db3eb653208d08c5826199a",
+ "schema": "wang-region-snapshot-v1"
+ },
+ "reduction": {
+ "path": "reduction-6abbea9333509f852d59ed9be943d76380a49bfbdcf0f1c13e923e9ec4c4f3e2.json",
+ "sha256": "6abbea9333509f852d59ed9be943d76380a49bfbdcf0f1c13e923e9ec4c4f3e2",
+ "schema": "wang-reduction-explanation-v1"
+ },
+ "solution": {
+ "path": "solution-2273f58cda026dca73c0dfa25c960e01296ac1e34ae6accbddf5be29034d156a.json",
+ "sha256": "2273f58cda026dca73c0dfa25c960e01296ac1e34ae6accbddf5be29034d156a",
+ "schema": "wang-solution-v1"
+ },
+ "trace": {
+ "path": "trace-0d02e80d2c2379633cf09f86b947ad984b9af6b4e14d4d8569fe3a209f3d8b11.json",
+ "sha256": "0d02e80d2c2379633cf09f86b947ad984b9af6b4e14d4d8569fe3a209f3d8b11",
+ "schema": "wang-solver-trace-v1"
+ }
+ }
+}
diff --git a/tests/fixtures/pipeline_sat_solver_trace/reduction-6abbea9333509f852d59ed9be943d76380a49bfbdcf0f1c13e923e9ec4c4f3e2.json b/tests/fixtures/pipeline_sat_solver_trace/reduction-6abbea9333509f852d59ed9be943d76380a49bfbdcf0f1c13e923e9ec4c4f3e2.json
new file mode 100644
index 0000000..995a489
--- /dev/null
+++ b/tests/fixtures/pipeline_sat_solver_trace/reduction-6abbea9333509f852d59ed9be943d76380a49bfbdcf0f1c13e923e9ec4c4f3e2.json
@@ -0,0 +1,329 @@
+{
+ "schema": "wang-reduction-explanation-v1",
+ "geometry": "square",
+ "source_formula_sha256": "3caaa6b29ac988fb4f51cc7071202d83ea1591ba6170e683b6da449cb3641542",
+ "region_sha256": "aad4dc7dcb46ed070995bf975248a7f2f0bf27d69db3eb653208d08c5826199a",
+ "variable_count": 3,
+ "bounds": {
+ "x_begin": 0,
+ "x_end": 41,
+ "y_begin": 0,
+ "y_end": 11
+ },
+ "signals": {
+ "source": [
+ {
+ "row": 0,
+ "kind": "variable",
+ "token_id": 0,
+ "variable": 0,
+ "occurrence": 0
+ },
+ {
+ "row": 1,
+ "kind": "variable",
+ "token_id": 1,
+ "variable": 0,
+ "occurrence": 1
+ },
+ {
+ "row": 2,
+ "kind": "variable",
+ "token_id": 2,
+ "variable": 0,
+ "occurrence": 2
+ },
+ {
+ "row": 3,
+ "kind": "redundant",
+ "token_id": 9,
+ "variable": null,
+ "occurrence": null
+ },
+ {
+ "row": 4,
+ "kind": "variable",
+ "token_id": 3,
+ "variable": 1,
+ "occurrence": 0
+ },
+ {
+ "row": 5,
+ "kind": "variable",
+ "token_id": 4,
+ "variable": 1,
+ "occurrence": 1
+ },
+ {
+ "row": 6,
+ "kind": "variable",
+ "token_id": 5,
+ "variable": 1,
+ "occurrence": 2
+ },
+ {
+ "row": 7,
+ "kind": "redundant",
+ "token_id": 10,
+ "variable": null,
+ "occurrence": null
+ },
+ {
+ "row": 8,
+ "kind": "variable",
+ "token_id": 6,
+ "variable": 2,
+ "occurrence": 0
+ },
+ {
+ "row": 9,
+ "kind": "variable",
+ "token_id": 7,
+ "variable": 2,
+ "occurrence": 1
+ },
+ {
+ "row": 10,
+ "kind": "variable",
+ "token_id": 8,
+ "variable": 2,
+ "occurrence": 2
+ }
+ ],
+ "target": [
+ {
+ "row": 0,
+ "kind": "variable",
+ "token_id": 0,
+ "variable": 0,
+ "occurrence": 0
+ },
+ {
+ "row": 1,
+ "kind": "variable",
+ "token_id": 1,
+ "variable": 0,
+ "occurrence": 1
+ },
+ {
+ "row": 2,
+ "kind": "variable",
+ "token_id": 3,
+ "variable": 1,
+ "occurrence": 0
+ },
+ {
+ "row": 3,
+ "kind": "redundant",
+ "token_id": 9,
+ "variable": null,
+ "occurrence": null
+ },
+ {
+ "row": 4,
+ "kind": "variable",
+ "token_id": 2,
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+ "occurrence": 2
+ },
+ {
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+ "kind": "variable",
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+ "occurrence": 1
+ },
+ {
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+ "kind": "variable",
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+ "variable": 2,
+ "occurrence": 0
+ },
+ {
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+ "kind": "redundant",
+ "token_id": 10,
+ "variable": null,
+ "occurrence": null
+ },
+ {
+ "row": 8,
+ "kind": "variable",
+ "token_id": 5,
+ "variable": 1,
+ "occurrence": 2
+ },
+ {
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+ "kind": "variable",
+ "token_id": 7,
+ "variable": 2,
+ "occurrence": 1
+ },
+ {
+ "row": 10,
+ "kind": "variable",
+ "token_id": 8,
+ "variable": 2,
+ "occurrence": 2
+ }
+ ]
+ },
+ "gadgets": [
+ {
+ "kind": "variable",
+ "ordinal": 0,
+ "bounds": {
+ "x_begin": 0,
+ "x_end": 1,
+ "y_begin": 0,
+ "y_end": 3
+ },
+ "swap_row": null
+ },
+ {
+ "kind": "variable",
+ "ordinal": 1,
+ "bounds": {
+ "x_begin": 0,
+ "x_end": 1,
+ "y_begin": 4,
+ "y_end": 7
+ },
+ "swap_row": null
+ },
+ {
+ "kind": "variable",
+ "ordinal": 2,
+ "bounds": {
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+ "x_end": 1,
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+ "y_end": 11
+ },
+ "swap_row": null
+ },
+ {
+ "kind": "left_forward",
+ "ordinal": 0,
+ "bounds": {
+ "x_begin": 1,
+ "x_end": 3,
+ "y_begin": 0,
+ "y_end": 11
+ },
+ "swap_row": null
+ },
+ {
+ "kind": "crossover",
+ "ordinal": 0,
+ "bounds": {
+ "x_begin": 3,
+ "x_end": 7,
+ "y_begin": 0,
+ "y_end": 11
+ },
+ "swap_row": 3
+ },
+ {
+ "kind": "crossover",
+ "ordinal": 1,
+ "bounds": {
+ "x_begin": 7,
+ "x_end": 10,
+ "y_begin": 0,
+ "y_end": 11
+ },
+ "swap_row": 2
+ },
+ {
+ "kind": "crossover",
+ "ordinal": 2,
+ "bounds": {
+ "x_begin": 10,
+ "x_end": 14,
+ "y_begin": 0,
+ "y_end": 11
+ },
+ "swap_row": 3
+ },
+ {
+ "kind": "crossover",
+ "ordinal": 3,
+ "bounds": {
+ "x_begin": 14,
+ "x_end": 22,
+ "y_begin": 0,
+ "y_end": 11
+ },
+ "swap_row": 7
+ },
+ {
+ "kind": "crossover",
+ "ordinal": 4,
+ "bounds": {
+ "x_begin": 22,
+ "x_end": 29,
+ "y_begin": 0,
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+ },
+ "swap_row": 6
+ },
+ {
+ "kind": "crossover",
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+ "bounds": {
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+ "y_begin": 0,
+ "y_end": 11
+ },
+ "swap_row": 7
+ },
+ {
+ "kind": "right_forward",
+ "ordinal": 0,
+ "bounds": {
+ "x_begin": 37,
+ "x_end": 39,
+ "y_begin": 0,
+ "y_end": 11
+ },
+ "swap_row": null
+ },
+ {
+ "kind": "clause",
+ "ordinal": 0,
+ "bounds": {
+ "x_begin": 39,
+ "x_end": 41,
+ "y_begin": 0,
+ "y_end": 4
+ },
+ "swap_row": null
+ },
+ {
+ "kind": "clause",
+ "ordinal": 1,
+ "bounds": {
+ "x_begin": 39,
+ "x_end": 41,
+ "y_begin": 4,
+ "y_end": 8
+ },
+ "swap_row": null
+ },
+ {
+ "kind": "clause",
+ "ordinal": 2,
+ "bounds": {
+ "x_begin": 39,
+ "x_end": 41,
+ "y_begin": 8,
+ "y_end": 11
+ },
+ "swap_row": null
+ }
+ ]
+}
diff --git a/tests/fixtures/pipeline_sat_solver_trace/region-aad4dc7dcb46ed070995bf975248a7f2f0bf27d69db3eb653208d08c5826199a.json b/tests/fixtures/pipeline_sat_solver_trace/region-aad4dc7dcb46ed070995bf975248a7f2f0bf27d69db3eb653208d08c5826199a.json
new file mode 100644
index 0000000..fa245cd
--- /dev/null
+++ b/tests/fixtures/pipeline_sat_solver_trace/region-aad4dc7dcb46ed070995bf975248a7f2f0bf27d69db3eb653208d08c5826199a.json
@@ -0,0 +1,3137 @@
+{
+ "schema": "wang-region-snapshot-v1",
+ "geometry": "square",
+ "source_formula_sha256": "3caaa6b29ac988fb4f51cc7071202d83ea1591ba6170e683b6da449cb3641542",
+ "bounds": {
+ "min_x_inclusive": 0,
+ "min_y_inclusive": 0,
+ "max_x_inclusive": 40,
+ "max_y_inclusive": 10
+ },
+ "active": [
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diff --git a/tests/fixtures/pipeline_sat_solver_trace/solution-2273f58cda026dca73c0dfa25c960e01296ac1e34ae6accbddf5be29034d156a.json b/tests/fixtures/pipeline_sat_solver_trace/solution-2273f58cda026dca73c0dfa25c960e01296ac1e34ae6accbddf5be29034d156a.json
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diff --git a/tests/fixtures/pipeline_sat_z3/boolean-z3.json b/tests/fixtures/pipeline_sat_z3/boolean-z3.json
new file mode 100644
index 0000000..57d3133
--- /dev/null
+++ b/tests/fixtures/pipeline_sat_z3/boolean-z3.json
@@ -0,0 +1,52 @@
+{
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+ "semantics": "encoding-order",
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+ "status": "sat",
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+ "variable_count": 3,
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+ "height": 0,
+ "active_cell_count": 0,
+ "edge_term_count": 0,
+ "shared_internal_edge_count": 0,
+ "unique_tile_tuple_count": 0,
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+ "model": {
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+ "cells": null
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+ {
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+ }
+ ]
+}
diff --git a/tests/fixtures/pipeline_sat_z3/wang-z3.json b/tests/fixtures/pipeline_sat_z3/wang-z3.json
new file mode 100644
index 0000000..740ae8e
--- /dev/null
+++ b/tests/fixtures/pipeline_sat_z3/wang-z3.json
@@ -0,0 +1,510 @@
+{
+ "schema": "z3-encoding-summary-v1",
+ "semantics": "encoding-order",
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+ "source_formula_sha256": "3caaa6b29ac988fb4f51cc7071202d83ea1591ba6170e683b6da449cb3641542",
+ "region_sha256": "aad4dc7dcb46ed070995bf975248a7f2f0bf27d69db3eb653208d08c5826199a",
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+ },
+ "status": "sat",
+ "encoding": {
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+ "directions:N,E,S,W",
+ "tile-tuples:first-positional-id",
+ "cell-relation-before-boundary",
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+ "variable_count": 3,
+ "width": 41,
+ "height": 11,
+ "active_cell_count": 444,
+ "edge_term_count": 944,
+ "shared_internal_edge_count": 832,
+ "unique_tile_tuple_count": 23,
+ "assertion_count": 556
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+ {
+ "name": "active-cells",
+ "value": 444
+ },
+ {
+ "name": "edge-terms",
+ "value": 944
+ },
+ {
+ "name": "shared-internal-edges",
+ "value": 832
+ },
+ {
+ "name": "assertions",
+ "value": 556
+ },
+ {
+ "name": "model-entries",
+ "value": 451
+ }
+ ]
+}
diff --git a/tests/python/test_native_solver_trace.py b/tests/python/test_native_solver_trace.py
new file mode 100644
index 0000000..1828ef8
--- /dev/null
+++ b/tests/python/test_native_solver_trace.py
@@ -0,0 +1,109 @@
+import os
+import subprocess
+import sys
+import unittest
+from pathlib import Path
+
+from model.solver_trace import (
+ SOLVER_OPTIMIZED,
+ SOLVER_REFERENCE,
+ TRACE_DECISION,
+ TRACE_DOMAIN_REDUCTION,
+ TRACE_PROPAGATION,
+ TRACE_RESULT,
+ TRACE_ROOT,
+ replay_solver_trace,
+)
+from model.tiling import TilingSolveStatus
+from native.trace_pipeline import solve_native_pipeline_trace
+
+
+INSTANCE = Path(__file__).resolve().parents[1] / "instances/pipeline_sat.cm13"
+ROOT = INSTANCE.parents[2]
+
+
+class NativeSolverTraceTests(unittest.TestCase):
+ def test_reference_and_optimized_runs_are_deterministic_and_complete(self) -> None:
+ for optimized, expected_solver in (
+ (False, SOLVER_REFERENCE),
+ (True, SOLVER_OPTIMIZED),
+ ):
+ with self.subTest(solver=expected_solver):
+ first = solve_native_pipeline_trace(INSTANCE, optimized=optimized)
+ second = solve_native_pipeline_trace(INSTANCE, optimized=optimized)
+ formula, region, explanation, result, trace = first
+
+ self.assertEqual(first, second)
+ self.assertEqual(formula.variable_count, 3)
+ self.assertEqual(
+ (explanation.width, explanation.height),
+ (region.width, region.height),
+ )
+ self.assertEqual(result.status, TilingSolveStatus.SAT)
+ self.assertEqual(trace.solver, expected_solver)
+ self.assertFalse(trace.truncated)
+ self.assertFalse(trace.checkpoints_truncated)
+ self.assertGreater(len(trace.checkpoints), 0)
+ self.assertEqual(trace.events[0].kind, TRACE_ROOT)
+ self.assertEqual(trace.events[-1].kind, TRACE_RESULT)
+ kinds = {event.kind for event in trace.events}
+ self.assertTrue(
+ {
+ TRACE_PROPAGATION,
+ TRACE_DECISION,
+ TRACE_DOMAIN_REDUCTION,
+ }.issubset(kinds)
+ )
+ self.assertIsNotNone(result.tiling)
+ expected_domains = tuple(
+ 0 if tile_id is None else 1 << tile_id
+ for tile_id in result.tiling or ()
+ )
+ self.assertEqual(replay_solver_trace(trace)[-1], expected_domains)
+
+ def test_pipeline_import_is_z3_free_in_a_fresh_process(self) -> None:
+ completed = subprocess.run(
+ [
+ sys.executable,
+ "-c",
+ (
+ "import sys; import native.trace_pipeline; "
+ "assert 'z3' not in sys.modules"
+ ),
+ ],
+ cwd=ROOT,
+ env={**os.environ, "PYTHONPATH": "python"},
+ check=False,
+ capture_output=True,
+ text=True,
+ )
+ self.assertEqual(completed.returncode, 0, completed.stderr)
+
+ def test_capacity_two_retains_only_root_and_terminal_result(self) -> None:
+ *_, trace = solve_native_pipeline_trace(
+ INSTANCE,
+ event_capacity=2,
+ checkpoint_interval=0,
+ checkpoint_capacity=0,
+ )
+
+ self.assertTrue(trace.truncated)
+ self.assertEqual(
+ tuple(event.kind for event in trace.events),
+ (TRACE_ROOT, TRACE_RESULT),
+ )
+ self.assertGreater(trace.events[-1].sequence, 1)
+
+ def test_rejects_invalid_trace_capacity_before_native_call(self) -> None:
+ with self.assertRaisesRegex(ValueError, "at least two"):
+ solve_native_pipeline_trace(INSTANCE, event_capacity=1)
+ with self.assertRaisesRegex(ValueError, "jointly set"):
+ solve_native_pipeline_trace(
+ INSTANCE,
+ checkpoint_interval=2,
+ checkpoint_capacity=0,
+ )
+
+
+if __name__ == "__main__":
+ unittest.main()
diff --git a/tests/python/test_solver_trace_model.py b/tests/python/test_solver_trace_model.py
new file mode 100644
index 0000000..14bedad
--- /dev/null
+++ b/tests/python/test_solver_trace_model.py
@@ -0,0 +1,155 @@
+from dataclasses import FrozenInstanceError, replace
+import unittest
+
+from model.solver_trace import (
+ DOMAIN_ALL,
+ SOLVER_REFERENCE,
+ TRACE_DECISION,
+ TRACE_DOMAIN_REDUCTION,
+ TRACE_INITIAL,
+ TRACE_PROPAGATION,
+ TRACE_REASON_DECISION,
+ TRACE_RESULT,
+ TRACE_ROOT,
+ TRACE_SEARCH,
+ SolverTrace,
+ SolverTraceCheckpoint,
+ SolverTraceEvent,
+ replay_solver_trace,
+)
+from model.tiling import TilingSolveStatus
+
+
+def _trace() -> SolverTrace:
+ events = (
+ SolverTraceEvent(
+ 0,
+ TRACE_ROOT,
+ TRACE_INITIAL,
+ None,
+ 0,
+ None,
+ 0,
+ None,
+ None,
+ None,
+ ),
+ SolverTraceEvent(
+ 1,
+ TRACE_DECISION,
+ TRACE_SEARCH,
+ None,
+ 1,
+ 0,
+ 0,
+ DOMAIN_ALL,
+ 1,
+ None,
+ ),
+ SolverTraceEvent(
+ 2,
+ TRACE_DOMAIN_REDUCTION,
+ TRACE_SEARCH,
+ TRACE_REASON_DECISION,
+ 1,
+ 0,
+ 1,
+ DOMAIN_ALL,
+ 1,
+ None,
+ ),
+ SolverTraceEvent(
+ 3,
+ TRACE_PROPAGATION,
+ TRACE_SEARCH,
+ None,
+ 1,
+ 0,
+ 1,
+ None,
+ None,
+ None,
+ ),
+ SolverTraceEvent(
+ 4,
+ TRACE_RESULT,
+ None,
+ None,
+ 1,
+ None,
+ 1,
+ None,
+ None,
+ TilingSolveStatus.SAT,
+ ),
+ )
+ return SolverTrace(
+ solver=SOLVER_REFERENCE,
+ status=TilingSolveStatus.SAT,
+ width=1,
+ height=1,
+ initial_domains=(DOMAIN_ALL,),
+ events=events,
+ observed_event_count=5,
+ event_capacity=8,
+ truncated=False,
+ checkpoints=(
+ SolverTraceCheckpoint(1, 0, (DOMAIN_ALL,)),
+ SolverTraceCheckpoint(3, 1, (1,)),
+ ),
+ checkpoint_interval=2,
+ checkpoint_capacity=2,
+ checkpoints_truncated=False,
+ )
+
+
+class SolverTraceModelTests(unittest.TestCase):
+ def test_is_immutable_and_replays_ordered_domain_deltas(self) -> None:
+ trace = _trace()
+
+ self.assertEqual(replay_solver_trace(trace)[-1], (1,))
+ with self.assertRaises(FrozenInstanceError):
+ trace.width = 2 # type: ignore[misc]
+
+ def test_rejects_delta_that_does_not_match_replay_state(self) -> None:
+ trace = _trace()
+ invalid = replace(trace.events[2], old_domain=3)
+
+ with self.assertRaisesRegex(ValueError, "old_domain"):
+ replace(trace, events=(*trace.events[:2], invalid, *trace.events[3:]))
+
+ def test_rejects_checkpoint_that_reconstructs_another_state(self) -> None:
+ trace = _trace()
+ invalid = replace(trace.checkpoints[0], domains=(2,))
+
+ with self.assertRaisesRegex(ValueError, "checkpoint domains"):
+ replace(trace, checkpoints=(invalid, trace.checkpoints[1]))
+
+ def test_accepts_a_bounded_prefix_with_a_terminal_sequence_gap(self) -> None:
+ trace = _trace()
+ terminal = replace(trace.events[-1], sequence=99, change_mark=0)
+ bounded = replace(
+ trace,
+ events=(trace.events[0], terminal),
+ observed_event_count=100,
+ event_capacity=2,
+ truncated=True,
+ checkpoints=(),
+ checkpoint_interval=0,
+ checkpoint_capacity=0,
+ )
+
+ self.assertEqual(replay_solver_trace(bounded)[-1], (DOMAIN_ALL,))
+
+ def test_rejects_false_truncation_and_nonsemantic_event_fields(self) -> None:
+ trace = _trace()
+ with self.assertRaisesRegex(ValueError, "event gap"):
+ replace(trace, truncated=True)
+
+ invalid = replace(trace.events[3], reason=TRACE_REASON_DECISION)
+ with self.assertRaisesRegex(ValueError, "only domain reduction"):
+ replace(trace, events=(*trace.events[:3], invalid, trace.events[4]))
+
+
+if __name__ == "__main__":
+ unittest.main()
diff --git a/tests/python/test_solver_trace_snapshot.py b/tests/python/test_solver_trace_snapshot.py
new file mode 100644
index 0000000..48a75d6
--- /dev/null
+++ b/tests/python/test_solver_trace_snapshot.py
@@ -0,0 +1,163 @@
+import copy
+import hashlib
+import json
+from pathlib import Path
+import tempfile
+import unittest
+
+from formats.pipeline_snapshot import PipelineSnapshotError
+from formats.solver_trace_snapshot import (
+ TRACE_MANIFEST_SCHEMA,
+ TRACE_SCHEMA,
+ build_solver_trace_snapshot,
+ dump_solver_trace_bundle,
+ load_solver_trace_bundle,
+ validate_solver_trace_manifest,
+ validate_solver_trace_snapshot,
+)
+from native.trace_pipeline import solve_native_pipeline_trace
+
+
+ROOT = Path(__file__).resolve().parents[2]
+INSTANCE = ROOT / "tests/instances/pipeline_sat.cm13"
+COMMITTED = ROOT / "tests/fixtures/pipeline_sat_solver_trace"
+
+
+class SolverTraceSnapshotTests(unittest.TestCase):
+ @classmethod
+ def setUpClass(cls) -> None:
+ cls.values = solve_native_pipeline_trace(
+ INSTANCE,
+ event_capacity=4096,
+ checkpoint_interval=128,
+ checkpoint_capacity=32,
+ )
+
+ def test_builds_closed_replayable_trace(self) -> None:
+ formula, region, explanation, result, trace = self.values
+ del formula, explanation
+ document = build_solver_trace_snapshot(
+ trace,
+ source_formula_sha256="1" * 64,
+ region_sha256="2" * 64,
+ solution_sha256="3" * 64,
+ )
+
+ validate_solver_trace_snapshot(document)
+ self.assertEqual(document["schema"], TRACE_SCHEMA)
+ self.assertEqual(document["semantics"], "observed")
+ self.assertEqual(document["solver"], "reference")
+ self.assertEqual(document["layout"]["width"], region.width)
+ self.assertEqual(document["status"], result.status.value)
+
+ corrupted = copy.deepcopy(document)
+ event = next(
+ item
+ for item in corrupted["events"]
+ if item["kind"] == "domain_reduction"
+ )
+ event["old_domain"] ^= 1
+ with self.assertRaisesRegex(PipelineSnapshotError, "old_domain"):
+ validate_solver_trace_snapshot(corrupted)
+
+ def test_dump_is_deterministic_hash_bound_and_cross_checked(self) -> None:
+ generated: list[dict[str, bytes]] = []
+ for _ in range(2):
+ with tempfile.TemporaryDirectory() as directory:
+ manifest_path = dump_solver_trace_bundle(
+ Path(directory) / "manifest.json",
+ INSTANCE,
+ *self.values,
+ )
+ manifest, documents = load_solver_trace_bundle(manifest_path)
+ validate_solver_trace_manifest(manifest)
+ generated.append(
+ {
+ path.name: path.read_bytes()
+ for path in manifest_path.parent.iterdir()
+ }
+ )
+ self.assertEqual(manifest["schema"], TRACE_MANIFEST_SCHEMA)
+ self.assertEqual(set(documents), {
+ "formula",
+ "tileset",
+ "region",
+ "reduction",
+ "trace",
+ "solution",
+ })
+ for reference in manifest["artifacts"].values():
+ if reference is None:
+ continue
+ encoded = (manifest_path.parent / reference["path"]).read_bytes()
+ self.assertEqual(
+ hashlib.sha256(encoded).hexdigest(),
+ reference["sha256"],
+ )
+ self.assertEqual(generated[0], generated[1])
+ committed = {
+ path.name: path.read_bytes() for path in COMMITTED.iterdir()
+ }
+ self.assertEqual(generated[0], committed)
+
+ def test_loader_rejects_a_changed_trace_before_replay(self) -> None:
+ with tempfile.TemporaryDirectory() as directory:
+ manifest_path = dump_solver_trace_bundle(
+ Path(directory) / "manifest.json",
+ INSTANCE,
+ *self.values,
+ )
+ manifest = json.loads(manifest_path.read_text(encoding="utf-8"))
+ trace_path = manifest_path.parent / manifest["artifacts"]["trace"]["path"]
+ trace_path.write_bytes(trace_path.read_bytes() + b" ")
+ with self.assertRaisesRegex(PipelineSnapshotError, "sha256"):
+ load_solver_trace_bundle(manifest_path)
+
+ def test_loader_rejects_trace_state_on_an_inactive_region_cell(self) -> None:
+ with tempfile.TemporaryDirectory() as directory:
+ manifest_path = dump_solver_trace_bundle(
+ Path(directory) / "manifest.json",
+ INSTANCE,
+ *self.values,
+ )
+ manifest = json.loads(manifest_path.read_text(encoding="utf-8"))
+ region_path = (
+ manifest_path.parent / manifest["artifacts"]["region"]["path"]
+ )
+ trace_path = (
+ manifest_path.parent / manifest["artifacts"]["trace"]["path"]
+ )
+ region = json.loads(region_path.read_text(encoding="utf-8"))
+ trace = json.loads(trace_path.read_text(encoding="utf-8"))
+ inactive = region["active"].index(False)
+ trace["initial_domains"][inactive] = 1
+ for checkpoint in trace["checkpoints"]:
+ checkpoint["domains"][inactive] = 1
+ encoded = (json.dumps(trace, indent=2) + "\n").encode("utf-8")
+ trace_path.write_bytes(encoded)
+ manifest["artifacts"]["trace"]["sha256"] = hashlib.sha256(
+ encoded
+ ).hexdigest()
+ manifest_path.write_text(json.dumps(manifest), encoding="utf-8")
+
+ with self.assertRaisesRegex(PipelineSnapshotError, "inactive cell"):
+ load_solver_trace_bundle(manifest_path)
+
+ def test_publishes_closed_draft_2020_12_schemas(self) -> None:
+ for contract in (TRACE_SCHEMA, TRACE_MANIFEST_SCHEMA):
+ with self.subTest(contract=contract):
+ schema = json.loads(
+ (ROOT / "schemas" / f"{contract}.schema.json").read_text(
+ encoding="utf-8"
+ )
+ )
+ self.assertEqual(
+ schema["$schema"],
+ "https://json-schema.org/draft/2020-12/schema",
+ )
+ self.assertEqual(schema["properties"]["schema"]["const"], contract)
+ self.assertFalse(schema["additionalProperties"])
+
+
+if __name__ == "__main__":
+ unittest.main()
diff --git a/tests/python/test_z3_encoding_summary.py b/tests/python/test_z3_encoding_summary.py
new file mode 100644
index 0000000..1fec1f5
--- /dev/null
+++ b/tests/python/test_z3_encoding_summary.py
@@ -0,0 +1,124 @@
+import copy
+import hashlib
+import json
+from pathlib import Path
+import unittest
+
+from formats.pipeline_snapshot import (
+ PipelineSnapshotError,
+ _encode_document,
+ build_region_snapshot,
+)
+from formats.z3_encoding_summary import (
+ SCHEMA_NAME,
+ build_boolean_z3_summary,
+ build_wang_z3_summary,
+ validate_z3_encoding_summary,
+)
+from native.reduction_adapter import load_formula_and_region
+
+
+ROOT = Path(__file__).resolve().parents[2]
+INSTANCE = ROOT / "tests/instances/pipeline_sat.cm13"
+FIXTURES = ROOT / "tests/fixtures/pipeline_sat_z3"
+
+
+class Z3EncodingSummaryTests(unittest.TestCase):
+ @classmethod
+ def setUpClass(cls) -> None:
+ cls.formula, cls.region = load_formula_and_region(INSTANCE)
+ cls.source_digest = hashlib.sha256(INSTANCE.read_bytes()).hexdigest()
+ region = build_region_snapshot(
+ cls.region,
+ source_formula_sha256=cls.source_digest,
+ origin=(0, 0),
+ )
+ cls.region_digest = hashlib.sha256(_encode_document(region)).hexdigest()
+
+ def _documents(self) -> dict[str, dict[str, object]]:
+ return {
+ "boolean-z3.json": build_boolean_z3_summary(
+ self.formula,
+ source_formula_sha256=self.source_digest,
+ ),
+ "wang-z3.json": build_wang_z3_summary(
+ self.formula,
+ self.region,
+ source_formula_sha256=self.source_digest,
+ region_sha256=self.region_digest,
+ ),
+ }
+
+ def test_summaries_are_deterministic_and_match_committed_examples(self) -> None:
+ first = self._documents()
+ second = self._documents()
+ self.assertEqual(first, second)
+ for name, document in first.items():
+ with self.subTest(name=name):
+ validate_z3_encoding_summary(document)
+ committed = json.loads((FIXTURES / name).read_text(encoding="utf-8"))
+ self.assertEqual(document, committed)
+ self.assertEqual(document["z3"]["parameters"], {
+ "random_seed": 0,
+ "threads": 1,
+ })
+ self.assertEqual(document["status"], "sat")
+
+ def test_boolean_and_wang_orders_are_explicit_and_distinct(self) -> None:
+ documents = self._documents()
+ boolean = documents["boolean-z3.json"]
+ wang = documents["wang-z3.json"]
+
+ self.assertEqual(boolean["semantics"], "encoding-order")
+ self.assertEqual(boolean["encoding"]["assertion_count"], 3)
+ self.assertEqual(boolean["model"]["assignment"], [False, True, False])
+ self.assertEqual(wang["encoding"]["active_cell_count"], 444)
+ self.assertEqual(wang["encoding"]["edge_term_count"], 944)
+ self.assertEqual(wang["encoding"]["shared_internal_edge_count"], 832)
+ self.assertEqual(wang["encoding"]["assertion_count"], 556)
+ self.assertEqual(len(wang["model"]["cells"]), 451)
+
+ def test_rejects_cross_engine_identity_and_unknown_fields(self) -> None:
+ boolean = self._documents()["boolean-z3.json"]
+ wrong_region = copy.deepcopy(boolean)
+ wrong_region["region_sha256"] = "0" * 64
+ with self.assertRaisesRegex(PipelineSnapshotError, "region_sha256"):
+ validate_z3_encoding_summary(wrong_region)
+
+ extra = copy.deepcopy(boolean)
+ extra["debug_trace"] = []
+ with self.assertRaisesRegex(PipelineSnapshotError, "unknown fields"):
+ validate_z3_encoding_summary(extra)
+
+ def test_rejects_inconsistent_wang_model_and_statistics(self) -> None:
+ wang = self._documents()["wang-z3.json"]
+ invalid_tile = copy.deepcopy(wang)
+ cells = invalid_tile["model"]["cells"]
+ active_index = next(
+ index for index, tile_id in enumerate(cells) if tile_id is not None
+ )
+ cells[active_index] = invalid_tile["encoding"]["unique_tile_tuple_count"]
+ with self.assertRaisesRegex(PipelineSnapshotError, "canonical tile table"):
+ validate_z3_encoding_summary(invalid_tile)
+
+ inconsistent_statistics = copy.deepcopy(wang)
+ inconsistent_statistics["statistics"][1]["value"] += 1
+ with self.assertRaisesRegex(PipelineSnapshotError, "project-owned counters"):
+ validate_z3_encoding_summary(inconsistent_statistics)
+
+ def test_publishes_closed_draft_2020_12_schema(self) -> None:
+ schema = json.loads(
+ (ROOT / "schemas/z3-encoding-summary-v1.schema.json").read_text(
+ encoding="utf-8"
+ )
+ )
+ self.assertEqual(
+ schema["$schema"],
+ "https://json-schema.org/draft/2020-12/schema",
+ )
+ self.assertEqual(schema["properties"]["schema"]["const"], SCHEMA_NAME)
+ self.assertFalse(schema["additionalProperties"])
+
+
+if __name__ == "__main__":
+ unittest.main()
diff --git a/tools/check_pages.py b/tools/check_pages.py
index 61115f3..20053ed 100644
--- a/tools/check_pages.py
+++ b/tools/check_pages.py
@@ -3,6 +3,7 @@
from __future__ import annotations
+import hashlib
import re
import sys
from datetime import date
@@ -41,6 +42,8 @@
)
MARKDOWN_SOURCE_LINK = re.compile(r"\]\([^)]*\.md(?:[#?][^)]*)?\)")
HISTORICAL_PDF = "Wang23_C_OpenMP_Architecture_Spec_Merged.pdf"
+FIGURE = re.compile(r"]*>.*?", re.IGNORECASE | re.DOTALL)
+TAG = re.compile(r"<(?:img|source)\b[^>]*>", re.IGNORECASE | re.DOTALL)
def fail(errors: list[str], path: Path, message: str) -> None:
@@ -198,11 +201,58 @@ def check_site_structure(errors: list[str]) -> None:
fail(errors, DOCS / "assets/css/site.css", "unbalanced braces")
+def check_animated_assets(errors: list[str]) -> None:
+ """Require accessible static fallbacks and one stored copy per GIF."""
+ for path in public_documents():
+ text = path.read_text(encoding="utf-8")
+ figures = FIGURE.findall(text)
+ covered_gifs = sum(figure.lower().count(".gif") for figure in figures)
+ if covered_gifs != text.lower().count(".gif"):
+ fail(errors, path, "animated GIF must be contained in a figure")
+
+ for figure in figures:
+ if ".gif" not in figure.lower():
+ continue
+ tags = TAG.findall(figure)
+ image_tags = [tag for tag in tags if tag.lower().startswith("
]*>\s*\S.*?",
+ figure,
+ re.IGNORECASE | re.DOTALL,
+ ):
+ fail(errors, path, "animated GIF requires a nonempty figcaption")
+
+ gif_hashes: dict[bytes, Path] = {}
+ for path in sorted((DOCS / "assets/images").rglob("*.gif")):
+ digest = hashlib.sha256(path.read_bytes()).digest()
+ if digest in gif_hashes:
+ fail(
+ errors,
+ path,
+ f"duplicates animated asset {gif_hashes[digest].relative_to(ROOT)}",
+ )
+ gif_hashes[digest] = path
+
+
def main() -> int:
errors: list[str] = []
permalinks, document_count = check_catalog(errors)
check_liquid_links(permalinks, errors)
check_site_structure(errors)
+ check_animated_assets(errors)
if errors:
for error in errors:
diff --git a/tools/export_solver_trace.py b/tools/export_solver_trace.py
new file mode 100644
index 0000000..d6140b9
--- /dev/null
+++ b/tools/export_solver_trace.py
@@ -0,0 +1,68 @@
+#!/usr/bin/env python3
+"""Export one bounded observed native solve as a hash-bound v3 bundle."""
+
+from __future__ import annotations
+
+import argparse
+from pathlib import Path
+import sys
+
+
+ROOT = Path(__file__).resolve().parents[1]
+sys.path.insert(0, str(ROOT / "python"))
+
+from formats.solver_trace_snapshot import ( # noqa: E402
+ dump_solver_trace_bundle,
+ load_solver_trace_bundle,
+)
+from native.trace_pipeline import solve_native_pipeline_trace # noqa: E402
+
+
+def _parser() -> argparse.ArgumentParser:
+ parser = argparse.ArgumentParser(
+ description=(
+ "parse and reduce a CM13 formula, run one native solver, and "
+ "export its bounded semantic event trace"
+ )
+ )
+ parser.add_argument("source", type=Path, help="input .cm13 formula")
+ parser.add_argument("manifest", type=Path, help="output v3 manifest JSON")
+ parser.add_argument(
+ "--solver",
+ choices=("reference", "optimized"),
+ default="reference",
+ )
+ parser.add_argument("--event-capacity", type=int, default=20_000)
+ parser.add_argument("--checkpoint-interval", type=int, default=64)
+ parser.add_argument("--checkpoint-capacity", type=int, default=64)
+ parser.add_argument("--origin-x", type=int, default=0)
+ parser.add_argument("--origin-y", type=int, default=0)
+ return parser
+
+
+def main(arguments: list[str] | None = None) -> int:
+ args = _parser().parse_args(arguments)
+ args.manifest.parent.mkdir(parents=True, exist_ok=True)
+ values = solve_native_pipeline_trace(
+ args.source,
+ optimized=args.solver == "optimized",
+ event_capacity=args.event_capacity,
+ checkpoint_interval=args.checkpoint_interval,
+ checkpoint_capacity=args.checkpoint_capacity,
+ )
+ manifest_path = dump_solver_trace_bundle(
+ args.manifest,
+ args.source,
+ *values,
+ origin=(args.origin_x, args.origin_y),
+ )
+ manifest, _ = load_solver_trace_bundle(manifest_path)
+ print(f"manifest={manifest_path}")
+ for name, reference in manifest["artifacts"].items():
+ if reference is not None:
+ print(f"{name}={manifest_path.parent / reference['path']}")
+ return 0
+
+
+if __name__ == "__main__":
+ raise SystemExit(main())
diff --git a/tools/export_z3_encoding_summaries.py b/tools/export_z3_encoding_summaries.py
new file mode 100644
index 0000000..b1f9ee2
--- /dev/null
+++ b/tools/export_z3_encoding_summaries.py
@@ -0,0 +1,72 @@
+#!/usr/bin/env python3
+"""Export explicit Boolean and Wang Z3 encoding summaries for one formula."""
+
+from __future__ import annotations
+
+import argparse
+import hashlib
+from pathlib import Path
+import sys
+
+
+ROOT = Path(__file__).resolve().parents[1]
+sys.path.insert(0, str(ROOT / "python"))
+
+from formats.pipeline_snapshot import ( # noqa: E402
+ _encode_document,
+ _write_atomic,
+ build_region_snapshot,
+)
+from formats.z3_encoding_summary import ( # noqa: E402
+ build_boolean_z3_summary,
+ build_wang_z3_summary,
+ validate_z3_encoding_summary,
+)
+from native.reduction_adapter import load_formula_and_region # noqa: E402
+
+
+def _parser() -> argparse.ArgumentParser:
+ parser = argparse.ArgumentParser(
+ description=(
+ "run the fixed-parameter Boolean and Wang Z3 oracles and export "
+ "their project-owned encoding order, result, model, and stable stats"
+ )
+ )
+ parser.add_argument("source", type=Path)
+ parser.add_argument("output_directory", type=Path)
+ return parser
+
+
+def main(arguments: list[str] | None = None) -> int:
+ args = _parser().parse_args(arguments)
+ args.output_directory.mkdir(parents=True, exist_ok=True)
+ formula, region = load_formula_and_region(args.source)
+ source_digest = hashlib.sha256(args.source.read_bytes()).hexdigest()
+ region_document = build_region_snapshot(
+ region,
+ source_formula_sha256=source_digest,
+ origin=(0, 0),
+ )
+ region_digest = hashlib.sha256(_encode_document(region_document)).hexdigest()
+ documents = {
+ "boolean-z3.json": build_boolean_z3_summary(
+ formula,
+ source_formula_sha256=source_digest,
+ ),
+ "wang-z3.json": build_wang_z3_summary(
+ formula,
+ region,
+ source_formula_sha256=source_digest,
+ region_sha256=region_digest,
+ ),
+ }
+ for name, document in documents.items():
+ validate_z3_encoding_summary(document)
+ destination = args.output_directory / name
+ _write_atomic(destination, _encode_document(document))
+ print(f"summary={destination}")
+ return 0
+
+
+if __name__ == "__main__":
+ raise SystemExit(main())