diff --git a/.gitignore b/.gitignore index 16a26ea91..7129da58a 100644 --- a/.gitignore +++ b/.gitignore @@ -34,3 +34,6 @@ build.ninja .ninja_log .clwb .vscode +.venv +benchmarks/fastgap/dems +benchmarks/fastgap/indices diff --git a/AGENTS.md b/AGENTS.md new file mode 100644 index 000000000..ac9fde786 --- /dev/null +++ b/AGENTS.md @@ -0,0 +1,571 @@ +# AGENTS.md — fastgap + +This file tells Codex how to build and extend **fastgap**, a fork of PyMatching +(https://github.com/oscarhiggott/PyMatching) that returns, alongside every minimum-weight +perfect matching (MWPM) decode, a **certified lower bound on the complementary gap** computed +from the decoder's own final state. It never runs a second decode and never sweeps the empty +spacetime volume. + +Read the whole file before writing code. Sections 2–4 are the specification. Section 5 is the +implementation plan, section 7 is the landmark-placement framework that later experiments +will extend, and section 9 lists the invariants that must never regress. + +--- + +## 0. Context and non-goals + +- The upstream baseline is PyMatching v2 (sparse blossom; Higgott & Gidney, *Quantum* 9, 1600, + 2025). The fork point used for this plan is upstream commit + `6f63b2b9474ba0fa7e511fe52bffdce858a06984` (2026-05-21). If you fork a newer commit, re-check + the file and function names in §5.1 before relying on them. +- The earlier SpecMatching work (a speculative, truncated-dual decoder) is **not** used here. + At d ≤ 17 it gives no latency gain over PyMatching, and applications such as code + concatenation cannot discard shots. fastgap therefore runs the ordinary, untruncated + PyMatching decode and adds the gap bound after it. Do not port SpecMatching code. +- Non-goals for v1: correlated matching (`enable_correlations=True`), negative edge weights, + codes whose observable can be flipped by a closed loop that never touches a boundary (see + §2.3), and hardware/FPGA work. + +--- + +## 1. Glossary (use these names in code, comments and output files) + +| Name in docs | Code name | Meaning | +|---|---|---| +| detector graph `G` | `graph` | PyMatching's matching graph built from a Stim detector error model (DEM). Nodes are detectors; edges are error mechanisms with weight `w_e = ln((1-p_e)/p_e)`; one virtual boundary node `b`. | +| `dist(u,v)` | `dist` | Shortest-path length between detectors `u,v` in `G`, **not** passing through `b`. | +| `dist(u,X)` | `dist_to_side` | For `X ∈ {L,R}` (§2.3): length of the shortest path from `u` that ends with a boundary edge on side `X`. | +| `d_LR` | `d_lr` | `dist(L,R)`: weight of the lightest logical operator (a boundary-to-boundary chain). A matching may include one bare `L`–`R` chain, so `W^c ≤ W* + d_LR`. | +| defect | `defect` | A detector that fired in this shot (a "detection event"). Set `D`. | +| `M*`, `W*` | `mstar`, `w_star` | Minimum-weight matching and its weight. | +| mate | `mate[u]` | The partner of defect `u` in `M*`: another defect, `L`, or `R`. | +| `W^c` | `w_comp` | Minimum weight over matchings in the **other** logical class. | +| gap `Δ` | `gap` | `Δ = W^c − W*` (the complementary gap). | +| `y_v`, `y_S` | `y_leaf`, `y_blossom` | Dual variables: one per defect region, one per blossom region. | +| blossom `S` | `blossom` | An odd set of defects merged by sparse blossom, with `y_S ≥ 0`. Nested or disjoint. | +| total radius `ρ_v` | `rho[v]` | `y_v + Σ_{S ∋ v} y_S`. | +| shared mass `β(u,v)` | `beta(u,v)` | `Σ_{S ∋ u, S ∋ v} y_S` (0 if no common blossom). | +| reduced cost `σ(u,v)` | `sigma` | `dist(u,v) − ρ_u − ρ_v + 2β(u,v) ≥ 0`. Boundary version: `σ(u,X) = dist(u,X) − ρ_u` for `X ∈ {L,R}`. | +| hop / relay | `hop`, `relay` | Along an alternating path: an edge added (in `M^c` only) / an edge of `M*` removed. | +| landmark potential `h_ℓ` | `potential[l]` | `h_ℓ(x) = dist(ℓ, x)` for a landmark `ℓ` (a node or a set of nodes). Precomputed per DEM. | +| `LB(u,v)` | `lb` | `max_ℓ |h_ℓ(u) − h_ℓ(v)| ≤ dist(u,v)`. | +| `Δ_σ,H` | `gap_lb` | The number fastgap reports: a certified lower bound on `Δ`. | +| `Δ_h` | `gap_ub` | Optional upper bound on `Δ` (§3.5). | + +Never call the reduced costs or the dual radii "Johnson potentials". The correct term is +**reduced costs** (LP-dual reduced costs, as in Edmonds' blossom algorithm). + +--- + +## 2. Problem setup + +### 2.1 Units + +PyMatching discretises weights as `w_int = 2 * round(w * c)`: +- `c` comes from `UserGraph::get_edge_weight_normalising_constant`; for non-integral weights it is + `(NUM_DISTINCT_WEIGHTS − 1) / max|w|` with `NUM_DISTINCT_WEIGHTS = 2^24`; +- the `×2` and the returned `2c` are in `iter_discretized_edges` (`driver/user_graph.h`); +- `to_matching_graph` (`driver/user_graph.cc`) stores the result as `normalising_constant = 2c`. + +`c` depends on the **heaviest edge in the graph**. Two graphs that differ by even one edge can +therefore have different internal units. +All radii, distances and reduced costs in fastgap are **integers in these internal units**. Do all +comparisons in integers. Internal distances can reach about `2^25` per edge times the path length, +so: +- store potentials and table distances as `int64`, or as `uint32` **saturated** at a cap `C`; +- saturating is still a valid lower bound, because `|min(a,C) − min(b,C)| ≤ |a − b|`; +- never use 16-bit storage. Convert to user units only at the API boundary by dividing by +`normalising_constant`. Also expose a decibel value, `gap_db = 10*log10(e) * gap`, because the +cultivation and yoking papers bin gaps in dB. + +### 2.2 One observable at a time + +fastgap computes the gap for one logical observable index `k` per call (default 0). For `K` +observables, call it once per observable. All experiments planned so far use one observable. + +### 2.3 Canonicalise the observable onto the boundary (once per DEM) + +Stim DEMs can attach an observable flip to interior edges. fastgap first applies a **gauge change** +so that observable `k` appears only on boundary edges. + +Work on the **raw DEM error list** (after `decompose_errors`), not on PyMatching's merged graph. +PyMatching's `UserGraph` does two things that would hide problems: +- it merges parallel edges (`merge_edge_or_boundary_edge`, `INDEPENDENT`) and keeps the *first* + edge's observables; +- it silently drops errors with more than two detectors (`handle_dem_instruction`). + +The steps are: + +1. Consider the interior graph (all 2-detector edges, no boundary). Assign each detector a bit + `s(x)` by BFS so that every interior edge `(u,v)` satisfies `obs_k(u,v) = s(u) XOR s(v)`. +2. If some interior cycle has odd observable parity, no such `s` exists. Raise a clear error: the + code has a logical that never touches a boundary, which v1 does not support. +3. New observable labels: interior edges get `obs'_k = 0`; a boundary edge at `u` gets + `obs'_k(u,b) = obs_k(u,b) XOR s(u)`. +4. **Parallel-edge check.** If two raw mechanisms share the same detector set but differ in + `obs'_k`, raise an error. This is a local weight-2 logical: PyMatching's comment on merging + says "the code has distance 2". In particular, a detector must not have boundary edges on both + `L` and `R`, because PyMatching would merge them into one boundary edge and the `L`/`R` model + below could no longer describe the decoder. + +For any error set `E` with syndrome `D`, `obs'_k(E) = obs_k(E) XOR (XOR_{x ∈ D} s(x))`. The shift is +a constant per shot, so the two logical classes are relabelled but not changed, and `W*`, `W^c`, +`Δ` are unchanged. When fastgap reports a prediction it must XOR the shift back in. + +**One graph for everything.** After canonicalisation, write the result out as a new DEM (the +*canonical DEM*). Build every consumer from that same canonical DEM, so they all see identical +edges, weights and internal units: +- fastgap's PyMatching decode; +- the landmark and table index; +- the exact two-decode baseline, where the observable becomes an extra detector; this is valid + because the canonical DEM has the observable only on boundary edges, so no 3-detector errors + appear. + +Assert that the baseline graph and fastgap's graph have the same `normalising_constant`. For +externally supplied reference DEMs (the cultivation `gap_dem`), see §7.3. + +After canonicalisation the single boundary `b` splits into two: +- `L`: boundary edges with `obs' = 1`; +- `R`: boundary edges with `obs' = 0`. + +A matching's class is the parity of its number of `L`-edges. Interior distances no longer depend on +parity. Every experiment DEM we plan to use (surface-code memory, yoked patches, phenomenological +inner patches, the cultivation escape-stage matchable DEM) has boundaries and passes step 2. Add a +test for each. + +### 2.4 Decoder state after the first decode + +After sparse blossom finishes: + +- every defect `v` has a leaf region with radius `y_v`; +- every blossom region `S` has radius `y_S` (PyMatching stores a blossom's *extra* radius, which is + exactly `y_S`); +- the matching `M*` pairs each defect with another defect or with the boundary, along a path whose + observable mask is known. + +Standard LP facts that the algorithm relies on (Edmonds 1965; Higgott & Gidney 2025): + +- **Feasibility:** `σ(u,v) ≥ 0` for every pair and `σ(u,X) ≥ 0` for `X ∈ {L,R}`. +- **Tightness:** `σ = 0` on every edge of `M*`, and on every edge inside a blossom's odd cycle. +- **Strong duality:** `W* = Σ_v y_v + Σ_S y_S`. (PyMatching itself computes the weight this way in + `shatter_blossom_and_extract_matches`.) +- **Complementary slackness:** if `y_S > 0`, exactly one edge of `M*` crosses `S`, called the + **base** of `S`. + +--- + +## 3. The algorithm + +### 3.1 Why a shortest path + +`M* XOR M^c` (the edges in exactly one of the two matchings) decomposes into components. Each +defect has degree 0 or 2 in it (one hop, one relay), and `L`/`R` can have any degree. Components +are cycles, paths from a boundary back to itself, or `L`–`R` paths. After §2.3 only `L`–`R` paths +change the class. Flipping any component costs `Σ hops dist − Σ relays dist ≥ 0`, because `M*` is +optimal. For the optimal `M^c` the difference is therefore a single simple `L`–`R` alternating +path `P`, so + +``` +Δ = min over simple alternating L–R paths P of [ Σ_{hops} dist − Σ_{relays} dist ]. +``` + +Hops and relays alternate along `P`. The two end edges touch `L` or `R` and may be of either +kind: a defect that `M*` matches to `L` can be released by a relay at the start of the path. A +path with no defects is the bare `L`–`R` chain of weight `d_LR`; this is why `W^c` is defined over +matchings that may include one such chain. + +### 3.2 Reduced costs turn it into a non-negative shortest path + +Relays are tight, `dist(a,b) = ρ_a + ρ_b − 2β(a,b)`, and every interior defect of `P` lies on one +hop and one relay. Moving `ρ` from each relay onto its neighbouring hops telescopes the sum: + +``` +cost(P) = Σ_{hops h} σ(h) + 2 Σ_S y_S · n_S(P), +``` + +Here `n_S(P) ≥ 0` counts the maximal runs of `P` inside blossom `S` that are entered **and** left +by hops. Runs that use the base contribute 0, and a simple path cannot use the base twice. So +every simple `P` satisfies `cost(P) ≥ Σ_hops σ(h)`, with every term non-negative. The proof is +in the talk slides (Blossoms 1–3) and the advisor report. + +### 3.3 The search: "stand at x, hop to u, relay to mate(u)" + +The search below is written with a generic hop price `c(x,u) ≥ 0`. +- With exact reduced costs, `c = max(σ, 0) = σ`, the answer is called `Δ_σ`. +- With the priced reduced costs `c = σ̂` of §3.4, the answer is `Δ_σ,H`, the number fastgap + computes. + +The walks are of the following kind: + +- **State:** "standing at `x`", with `x ∈ D ∪ {L}`. Standing at a defect `x` means we arrived at + `x` by a relay from `mate(x)` and must leave `x` by a hop. +- **Start:** standing at `L` with cost 0. Also standing at every defect `u` with `mate(u) = L`, + with cost 0 (a free relay `L ⇒ u`). +- **Move A (hop to a defect):** from `x`, hop to a defect `u ≠ x`, `u ≠ mate(x)`, paying + `c(x,u)`. Then relay to `m = mate(u)`: + - if `m` is a defect, the new state is standing at `m`; + - if `m = R`, the walk is finished; + - if `m = L`, discard the move (it only returns to the start). +- **Move B (hop to `R`):** from `x`, pay `c(x,R)`. The walk is finished. From `x = L` this + price is `d_LR = dist(L,R) = min_x (h_L(x) + h_R(x))`, the weight of the lightest logical, + stored once in the index. It is the answer when a shot has no defects. +- **Answer:** the cost of the cheapest finished walk. + +Boundary prices are `c(L,u) = dist(L,u) − ρ_u` and `c(x,R) = dist(x,R) − ρ_x`, always exact. The +graph is complete on `|D|+2` states with non-negative costs, so use **dense (array-based) +Dijkstra**: `O(|D|^2)` time, no heap, and cache-friendly rows. The matrix `P[x][u] = c(x,u)` is +symmetric. Row `x` is read when standing at `x`. + +Why this is a lower bound: every simple alternating path is one of these walks, with hop prices +`≤` its true cost. The search also admits walks that reuse a matched pair (land on `u`, later +land on `mate(u)`), and those only lower the minimum. Hence `Δ_σ ≤ Δ` on every shot, blossoms +included. + +### 3.4 Pricing a hop without visiting the volume + +``` +σ̂(u,v) = max( d̂(u,v) − ρ_u − ρ_v + 2β(u,v), 0 ) +d̂(u,v) = dist(u,v) if v is in u's local table (radius R_tab), exact + = max(LB(u,v), R_tab + 1) otherwise (not in the table ⇒ dist > R_tab; integers) +LB(u,v) = max_ℓ |h_ℓ(u) − h_ℓ(v)| +``` + +The boundary prices `dist(u,L)` and `dist(u,R)` are always exact, because `L` and `R` are +mandatory landmarks (§7.1). + +Since `d̂ ≤ dist`, it follows that `σ̂ ≤ σ` and therefore **`Δ_σ,H ≤ Δ_σ ≤ Δ`**. This is the number +fastgap reports as `gap_lb`. The clamp at 0 is safe because `σ ≥ 0`. + +### 3.5 Optional upper bound on the same walk + +Let `r(u) = ρ_u − β(u, mate(u))`, with `β = 0` when the mate is a boundary. Relays then split +exactly: `dist(u, mate(u)) = r(u) + r(mate(u))`. If the returned walk `P_H` is simple, meaning it +visits each defect at most once (no matched pair is used twice), then + +``` +Δ ≤ cost(P_H) = Σ_{hops (a,b) of P_H} ( dist(a,b) − r(a) − r(b) ) =: Δ_h, with r(L) = r(R) = 0. +``` + +Compute `dist` exactly only for the hops of `P_H`: typically 1–5 targeted queries per shot (§5.4). +Report `gap_ub = Δ_h` when the walk is simple and `+inf` otherwise. The interval +`[gap_lb, gap_ub]` always contains `Δ`. For post-selection at threshold `τ`: keep if +`gap_lb ≥ τ`, discard if `gap_ub < τ`, and otherwise mark the shot uncertain. Log the uncertain +fraction. + +### 3.6 Early termination + +When a threshold `τ` is given, stop the Dijkstra as soon as the smallest unsettled label is +`≥ τ`, and report `gap_lb = τ` with the flag `censored = True`. Post-selection needs nothing more. + +--- + +## 4. Public API (target) + +Python, in a new package `fastgap` that ships in the same distribution as the forked `pymatching`: + +```python +import fastgap + +idx = fastgap.GapIndex.from_dem( + dem, # stim.DetectorErrorModel (graphlike after decompose_errors=True) + observable=0, + strategy="auto", # landmark strategy name or LandmarkStrategy object (§7) + num_landmarks=16, + table_radius=None, # internal-unit radius of exact local tables; None = auto (§7.4) +) +idx.save(path); idx = fastgap.GapIndex.load(path) # tables are expensive; cache per DEM + +dec = fastgap.GapDecoder(idx, num_threads=1) +res = dec.decode(syndrome, threshold=None, upper_bound=False) +# res.prediction : uint8 array of observable flips (original, un-gauged labels) +# res.weight : W* in user units +# res.gap_lb : Δ_σ,H in user units res.gap_lb_db : same in dB +# res.gap_ub : Δ_h or inf (if upper_bound) res.censored : bool (early stop) +# res.walk_simple, res.all_hops_exact, res.num_defects, res.num_blossoms +# res.t_decode_ns, res.t_gap_ns (per-stage timings) + +batch = dec.decode_batch(shots_bit_packed, threshold=None, upper_bound=False) # arrays of the above + +# Exact baseline (two PyMatching decodes on the gauge-fixed DEM with the observable turned into +# an extra detector, the method used in Gidney's cultivation and yoking code): +exact = fastgap.exact_gap_batch(idx, shots_bit_packed) # returns (prediction, w_star, gap) +``` + +C++ core under `src/pymatching/fastgap/` (namespace `pm::fastgap`). Keep the upstream +`pymatching` package importable and unmodified in behaviour, so upstream tests still pass and +future rebases stay easy. Do not install upstream `pymatching` in the same environment. + +--- + +## 5. Implementation plan + +Work in phases. Each phase ends with its tests green (§9) and a short entry in `NOTES.md`. + +### 5.1 Phase 1: extract the dual state from PyMatching + +Relevant upstream code: + +- `src/pymatching/sparse_blossom/driver/mwpm_decoding.cc`: `process_timeline_until_completion` + runs sparse blossom to termination. `shatter_blossoms_for_all_detection_events_and_extract_match_edges` + then walks the region trees and **deletes** the regions (`flooder.region_arena.del`). Both are + file-local free functions, not declared in `mwpm_decoding.h`. Add declarations there; this is + the one small upstream edit. Keep it minimal so rebases stay easy. +- `src/pymatching/sparse_blossom/flooder/graph_fill_region.h`: `GraphFillRegion` has + `radius` (`VaryingCT`), `blossom_parent`, `blossom_parent_top`, `blossom_children` (vector of + `RegionEdge {region, edge}` around the odd cycle), and `match` (`{region, edge}`; `region == + nullptr` means matched to the boundary). +- `src/pymatching/sparse_blossom/matcher/mwpm.cc`: `create_detection_event` allocates one leaf + region per defect. `shatter_blossom_and_extract_match_edges` produces the final + `CompressedEdge {loc_from, loc_to, obs_mask}` list, where `loc_to == nullptr` means the + boundary. + +Add `pm::fastgap::extract_dual_state(Mwpm&, const std::vector& detection_events, DualState&)`: + +1. Record the leaf region of each defect when it is created. Add a hook in + `Mwpm::create_detection_event`, or read `nodes[i].region_that_arrived` right after event + creation. Do not assume `region_that_arrived` still points at the leaf after flooding + without testing it. +2. Call `process_timeline_until_completion`. +3. **Before shattering**, walk each defect's leaf → `blossom_parent` chain up to the top. + - Assert every region is frozen. + - Read each value with `radius.get_distance_at_time(flooder.queue.cur_time)`. For frozen + regions this equals `y_intercept()`. + - Assign dense ids to blossom regions. + - Store per defect: `y_leaf`, the ancestor list `[(blossom_id, y_S)]`, and `rho`. + - Store per blossom: its `y_S` and its depth. + - `β(u,v)` is the summed `y_S` of the common ancestors. With a per-defect ancestor list and + blossom depths this is a short merge. Most pairs share no blossom, so add a fast path: + `top(u) != top(v) → β = 0`. +4. Shatter with the existing `shatter_blossoms_for_all_detection_events_and_extract_match_edges` + to get `mwpm.flooder.match_edges`. From these, build `mate[u]` (defect index, or `L`/`R` after + gauge-fixing the edge's `obs_mask` bit `k` together with `s(u)`) and each relay's observable + parity. +5. Take `W* = Σ y` (all leaf and blossom values) from the pre-shatter walk. This is exactly what + upstream computes: it sums `y_intercept()` while shattering. After shattering to match edges + the regions are gone and cannot be shattered again, so this is the only point where `W*` can be + read. The prediction is the XOR of the match edges' `obs_mask`, plus the gauge shift. +6. Handle the upstream corner cases: + - detection events on user-declared boundary nodes are skipped by upstream; do the same; + - negative-weight graphs throw an error in v1; + - an odd component with no boundary makes upstream throw; propagate that error. + +Debug invariants (behind `FASTGAP_CHECK`, always on in tests): +- `Σ y == W*` in internal units; +- for every `M*` relay, `ρ_u + ρ_v − 2β(u,v) == dist(u,v)` (take `dist` from a brute-force + Dijkstra in tests); +- `σ ≥ 0` for all defect pairs in small tests. + +### 5.2 Phase 2: exact reduced-cost Dijkstra (no landmarks yet) + +- Implement §3.3 with exact `dist` from a per-shot brute-force multi-source Dijkstra. This is + slow, and it is the reference `Δ_σ`. +- Implement the exact baseline `Δ`: two PyMatching decodes on the gauge-fixed DEM with the + observable converted into an extra detector toggled on or off. This mirrors + `cultiv/_decoding/_pymatching_gap_sampler.py` and `_desaturation_sampler.py` in + `Strilanc/magic-state-cultivation`, which require the observable to live on boundary edges; + §2.3 guarantees that. +- Add a brute-force exact `Δ` (enumerate all matchings) for graphs with ≤ 10 defects. + +### 5.3 Phase 3: index (tables and landmarks) and the priced search + +- `GapIndex` stores: + - the gauge bits `s(x)`; + - boundary potentials `h_L`, `h_R`; + - `K` landmark potentials (`int64`, or `uint32` saturated at a cap; see §2.1); + - exact local tables: for each detector, a sorted list of `(neighbour id, dist)` for + `dist ≤ R_tab`, excluding transit through `b`; + - the strategy config and its hash. + Build it by Dijkstra over the interior graph; each landmark is a multi-source Dijkstra + (a set of nodes at distance 0). +- Pair lookup `d̂(u,v)`: search `v` in `u`'s table (binary search, or a small hash for large + tables), and fall back to `LB`. Store potentials node-major (`K` values contiguous per node), + so `LB` is two cache lines. +- Price matrix: fill the upper triangle, parallelised by row blocks with a persistent thread pool + created once per `GapDecoder`. Never spawn threads per shot: that alone costs microseconds. +- Dense Dijkstra: single-threaded, over `|D|+2` states, with predecessor tracking for path output. + +### 5.4 Phase 4: upper bound and diagnostics + +- Exact distance for a hop: build the upstream `SearchFlooder` (`get_mwpm_with_search_graph`) and + use its shortest-path routine between two detectors. Alternatively, write an A* on the flooder + graph using `LB` as the heuristic; it is consistent because `LB` is 1-Lipschitz. Either way, + exclude transit through the boundary, and verify against brute-force Dijkstra. +- Per-shot diagnostics, kept cheap: + - `walk_simple`; + - `all_hops_exact` (every hop of `P_H` came from a table); + - number of hops; + - `Σ (dist − d̂)` over the hops (only when `upper_bound=True`); + - `num_blossoms`; + - whether any hop was a hop-in/hop-out pass through a blossom. + +### 5.5 Phase 5: Python bindings, CLI, benchmark + +- pybind11 bindings following `user_graph.pybind.cc`. Batch entry points take bit-packed shots, + like upstream `decode_batch`. +- CLI: + - `python -m fastgap bench --dem X.dem --shots N --threads T` writes per-shot CSV rows: + `shot, num_defects, w_star, gap_exact, gap_lb, gap_ub, t_decode_ns, t_gap_ns, t_exact_ns, + walk_simple, all_hops_exact, censored`; + - `python -m fastgap build-index --dem X.dem --strategy S --out X.idx`. +- Timing rules: + - use `std::chrono::steady_clock` around each stage; + - warm up with 1000 shots; + - pin threads when the OS allows; + - report median, p99 and p99.9; + - report single-thread and `T`-thread numbers, plus core-seconds per shot; + - report compute-only latency separately from end-to-end latency (syndrome arriving from + outside the process, answer leaving it). Craig Gidney pointed out that the end-to-end number + is the relevant one for real-time use. + +--- + +## 6. Correctness rules (must always hold) + +1. `gap_lb ≤ gap_exact` on **every** shot of every test DEM. Compare in **integer internal + units**, after asserting that both come from graphs with identical edges and the same + `normalising_constant`. A single violation is a bug. Stop and investigate; never loosen the + test or add a float tolerance. +2. `gap_ub ≥ gap_exact` whenever `walk_simple`. +3. The prediction and `W*` are bit-identical to upstream PyMatching on the same DEM and shot + (after undoing the gauge shift). +4. Every distance used in pricing is `≤` the true interior distance. Never use a heuristic that + can overestimate, for example a closed-form lattice formula on a DEM with defects, hook edges + or postselected detectors, unless it is proven to be a lower bound. +5. Integer arithmetic only inside the core. No floats in pricing or Dijkstra. + +--- + +## 7. Landmark placement is DEM-dependent (framework for future experiments) + +Landmark quality decides how tight `gap_lb` is, and its correctness never depends on the choice: +any set of exact potentials gives a valid lower bound. Different DEMs need different strategies, +so placement is a pluggable component, and every experiment records which strategy produced its +numbers. + +### 7.1 Interface + +```python +class LandmarkStrategy(Protocol): + name: str + def select(self, graph: InteriorGraph, coords: dict[int, list[float]] | None, + meta: dict, k: int) -> list[LandmarkSource]: ... +# LandmarkSource = frozenset[int] of detector ids (distance 0 at every member), plus a label. +``` + +- `L` and `R` (the two boundary sides from §2.3) are **always** added by the framework, outside + any strategy. Two reasons: + - boundary hop prices must be exact; + - the yoking distance-preservation argument needs `|h_L(u) − h_L(v)| ≤ d̂(u,v)`. Keeping the + `L` potential in the landmark set guarantees that the bound "sees" the full `L`–`R` + separation. +- A landmark may be a **set** of nodes (a face, a time slice). Distance-to-a-set is 1-Lipschitz, + so `LB` stays valid. +- The strategy config (name, parameters, chosen sources) is serialised into the index file and + hashed. Output CSVs carry the hash. + +### 7.2 Built-in strategies + +| Strategy | Use for | Sources | +|---|---|---| +| `boundary_only` | ablation baseline | nothing beyond `L`, `R` | +| `faces` | surface-code memory, yoked patches | the time faces (first-round and last-round detectors) and the two spatial faces not already covered by `L`/`R`, found from detector coordinates | +| `faces_corners` | default for surface-code memory | `faces` plus the 8 spacetime corners (nearest detector to each bounding-box corner) | +| `fps` | any DEM, needs no coordinates | farthest-point sampling in the graph metric: start from `L ∪ R`, repeatedly add the detector farthest from all current landmarks | +| `greedy_cover` | tuning on a new DEM | from a candidate pool (e.g. `faces_corners ∪ fps(4k)`), greedily add the landmark that most increases `Σ LB` over hop pairs sampled from real shots (the hops of `P_H` on a few thousand shots). This is the "maxcover" idea for ALT landmarks (Goldberg & Harrelson, SODA 2005). | +| `grafted` | magic-state-cultivation escape DEM | see §7.3 | +| `phenomenological` | inner patches for qLDPC concatenation | uniform `L1` lattice: `faces_corners` is usually already near-exact; confirm with the tightness report | + +`auto` picks by inspecting the DEM: +- with `coords` and a regular lattice → `faces_corners`; +- with cultivation coordinate annotations (a 5th coordinate, or virtual pair nodes) → `grafted`; +- otherwise → `fps`. + +### 7.3 The grafted cultivation DEM + +The escape-stage DEM from Gidney's `DesaturationSampler` is a grafted code: a color-code region +made matchable by postselection and **virtual pair ("doublet") nodes**, embedded in a surface +code, plus a transition slab in time. + +- The irregular region is about `d1^2` in space by `r1` rounds in time. Distances bend around it, + so face landmarks alone are loose there. +- Place landmark sets on: + - the virtual pair nodes (as one set, and optionally per colour); + - the time slice where the code switches from grafted to matchable; + - the first and last rounds; + - the surface-code faces; + - then fill the rest of the budget with `fps` restricted to the irregular region. +- Use a larger `table_radius` inside the irregular region if memory allows. Exact tables are the + cheapest way to be tight where the geometry is complicated. +- Build fastgap's graph from **exactly the edges PyMatching keeps** when it loads Gidney's + desaturation `gap_dem` (`pymatching.Matching.from_detector_error_model(gap_dem).edges()`): + - edges to the observable detector become `L` boundary edges (`obs' = 1`); + - ordinary boundary edges become `R` edges; + - drop the observable-detector node; + - keep weights exactly. + + Why not reconstruct from the DEM text: `_dem_with_obs_detector` keeps the `L0` targets, and + PyMatching drops any 3-detector error it creates, so a DEM-level "inverse" would contain edges + the reference decoder never saw. + + Add a test that fastgap's edge set, weights and `normalising_constant` match the reference + graph exactly, and run the §2.3 parallel-edge check on it. +- Check how postselected detectors appear: clipped errors become synthetic boundary edges, which + can sit in the middle of the patch. Potentials computed by Dijkstra on this graph remain valid + automatically; only coordinate-based shortcuts would break. + +### 7.4 Table radius and memory + +- `table_radius` is chosen per DEM: + - default: about 4 edge weights, i.e. `4 · median(edge weight)`; + - for high-`p` concatenation DEMs, large enough that most overlapping-region pairs are exact. +- Report table memory (bytes per detector) and potential memory (`K × 4` bytes per detector) at + build time. + +### 7.5 Tightness report (run for every new DEM or strategy) + +`python -m fastgap landmark-report --dem X.dem --idx X.idx --shots 10000` writes: +- the distribution of `LB/dist` on hop pairs sampled from real shots; +- the fraction of shots with `gap_lb == Δ_σ` (exact-distance reference) and with + `gap_lb == gap_exact`; +- a histogram of `gap_exact − gap_lb` in dB, split into: + - the `LB` part: `Δ_σ − Δ_σ,H`; + - the alternation/blossom part: `Δ − Δ_σ`; +- the time per shot. + +Future experiments add strategies by implementing `LandmarkStrategy` and registering them in +`fastgap/landmarks/__init__.py`. Never edit the core. + +--- + +## 8. Repository conventions + +- New C++ lives in `src/pymatching/fastgap/`, with `*.test.cc` beside each file (GoogleTest, like + upstream). +- Register new C++ sources in `CMakeLists.txt`; `setup.py` delegates to CMake. The Bazel `BUILD` + file globs `src/**/*.cc`, so check that new test files do not end up in the library target. +- New Python lives in `src/fastgap/`, with tests in `tests/fastgap/`. +- Keep every upstream test passing: `pytest tests`, plus the C++ test target. +- Update `README.md` with an "fastgap" section once Phase 5 lands. +- Benchmarks go in `benchmarks/fastgap/`, with the DEM generation script, the index config, and + the raw CSV. Never commit only a summary. + +--- + +## 9. Test plan (all must pass before any experiment uses fastgap) + +1. **Tiny exact:** random small DEMs (≤ 10 defects) cover: + - all-pairs `σ ≥ 0`; + - relays tight; + - `Σ y = W*`; + - `gap_exact` (two-decode) equals the brute-force `Δ`; + - `gap_lb ≤ Δ_σ ≤ Δ`; + - `gap_ub ≥ Δ` when `walk_simple`. +2. **Gauge:** gauge-fixing leaves `Δ` unchanged, and flips the prediction exactly by the + per-shot shift. It raises the documented error on a toroidal/boundaryless DEM. +3. **Blossom-heavy:** rotated surface-code memory (`stim.Circuit.generated`, + `rotated_memory_x/z`), `d ∈ {3,5,7}`, `p ∈ {5e-3, 1e-2}`, 10^5 shots each. Check + `gap_lb ≤ gap_exact` on every shot, and log how often blossoms occur. +4. **Scale:** `d ∈ {9,13,17}` at `p ∈ {5e-4, 1e-3}`, 10^5 shots, same soundness check plus + the latency report. +5. **Upstream parity:** predictions and weights identical to upstream on all of the above. +6. **Index round-trip:** save and load produce bit-identical results. diff --git a/BUILD b/BUILD index ab1fbfba0..eb3e3234a 100644 --- a/BUILD +++ b/BUILD @@ -53,6 +53,7 @@ cc_test( srcs = SOURCE_FILES_NO_MAIN + TEST_FILES, copts = [ "-std=c++20", + "-DFASTGAP_CHECK", ], data = glob(["testdata/**"]), includes = ["src/"], diff --git a/CLAUDE.md b/CLAUDE.md new file mode 100644 index 000000000..a561607df --- /dev/null +++ b/CLAUDE.md @@ -0,0 +1,571 @@ +# CLAUDE.md — fastgap + +This file tells Claude Code how to build and extend **fastgap**, a fork of PyMatching +(https://github.com/oscarhiggott/PyMatching) that returns, alongside every minimum-weight +perfect matching (MWPM) decode, a **certified lower bound on the complementary gap** computed +from the decoder's own final state. It never runs a second decode and never sweeps the empty +spacetime volume. + +Read the whole file before writing code. Sections 2–4 are the specification. Section 5 is the +implementation plan, section 7 is the landmark-placement framework that later experiments +will extend, and section 9 lists the invariants that must never regress. + +--- + +## 0. Context and non-goals + +- The upstream baseline is PyMatching v2 (sparse blossom; Higgott & Gidney, *Quantum* 9, 1600, + 2025). The fork point used for this plan is upstream commit + `6f63b2b9474ba0fa7e511fe52bffdce858a06984` (2026-05-21). If you fork a newer commit, re-check + the file and function names in §5.1 before relying on them. +- The earlier SpecMatching work (a speculative, truncated-dual decoder) is **not** used here. + At d ≤ 17 it gives no latency gain over PyMatching, and applications such as code + concatenation cannot discard shots. fastgap therefore runs the ordinary, untruncated + PyMatching decode and adds the gap bound after it. Do not port SpecMatching code. +- Non-goals for v1: correlated matching (`enable_correlations=True`), negative edge weights, + codes whose observable can be flipped by a closed loop that never touches a boundary (see + §2.3), and hardware/FPGA work. + +--- + +## 1. Glossary (use these names in code, comments and output files) + +| Name in docs | Code name | Meaning | +|---|---|---| +| detector graph `G` | `graph` | PyMatching's matching graph built from a Stim detector error model (DEM). Nodes are detectors; edges are error mechanisms with weight `w_e = ln((1-p_e)/p_e)`; one virtual boundary node `b`. | +| `dist(u,v)` | `dist` | Shortest-path length between detectors `u,v` in `G`, **not** passing through `b`. | +| `dist(u,X)` | `dist_to_side` | For `X ∈ {L,R}` (§2.3): length of the shortest path from `u` that ends with a boundary edge on side `X`. | +| `d_LR` | `d_lr` | `dist(L,R)`: weight of the lightest logical operator (a boundary-to-boundary chain). A matching may include one bare `L`–`R` chain, so `W^c ≤ W* + d_LR`. | +| defect | `defect` | A detector that fired in this shot (a "detection event"). Set `D`. | +| `M*`, `W*` | `mstar`, `w_star` | Minimum-weight matching and its weight. | +| mate | `mate[u]` | The partner of defect `u` in `M*`: another defect, `L`, or `R`. | +| `W^c` | `w_comp` | Minimum weight over matchings in the **other** logical class. | +| gap `Δ` | `gap` | `Δ = W^c − W*` (the complementary gap). | +| `y_v`, `y_S` | `y_leaf`, `y_blossom` | Dual variables: one per defect region, one per blossom region. | +| blossom `S` | `blossom` | An odd set of defects merged by sparse blossom, with `y_S ≥ 0`. Nested or disjoint. | +| total radius `ρ_v` | `rho[v]` | `y_v + Σ_{S ∋ v} y_S`. | +| shared mass `β(u,v)` | `beta(u,v)` | `Σ_{S ∋ u, S ∋ v} y_S` (0 if no common blossom). | +| reduced cost `σ(u,v)` | `sigma` | `dist(u,v) − ρ_u − ρ_v + 2β(u,v) ≥ 0`. Boundary version: `σ(u,X) = dist(u,X) − ρ_u` for `X ∈ {L,R}`. | +| hop / relay | `hop`, `relay` | Along an alternating path: an edge added (in `M^c` only) / an edge of `M*` removed. | +| landmark potential `h_ℓ` | `potential[l]` | `h_ℓ(x) = dist(ℓ, x)` for a landmark `ℓ` (a node or a set of nodes). Precomputed per DEM. | +| `LB(u,v)` | `lb` | `max_ℓ |h_ℓ(u) − h_ℓ(v)| ≤ dist(u,v)`. | +| `Δ_σ,H` | `gap_lb` | The number fastgap reports: a certified lower bound on `Δ`. | +| `Δ_h` | `gap_ub` | Optional upper bound on `Δ` (§3.5). | + +Never call the reduced costs or the dual radii "Johnson potentials". The correct term is +**reduced costs** (LP-dual reduced costs, as in Edmonds' blossom algorithm). + +--- + +## 2. Problem setup + +### 2.1 Units + +PyMatching discretises weights as `w_int = 2 * round(w * c)`: +- `c` comes from `UserGraph::get_edge_weight_normalising_constant`; for non-integral weights it is + `(NUM_DISTINCT_WEIGHTS − 1) / max|w|` with `NUM_DISTINCT_WEIGHTS = 2^24`; +- the `×2` and the returned `2c` are in `iter_discretized_edges` (`driver/user_graph.h`); +- `to_matching_graph` (`driver/user_graph.cc`) stores the result as `normalising_constant = 2c`. + +`c` depends on the **heaviest edge in the graph**. Two graphs that differ by even one edge can +therefore have different internal units. +All radii, distances and reduced costs in fastgap are **integers in these internal units**. Do all +comparisons in integers. Internal distances can reach about `2^25` per edge times the path length, +so: +- store potentials and table distances as `int64`, or as `uint32` **saturated** at a cap `C`; +- saturating is still a valid lower bound, because `|min(a,C) − min(b,C)| ≤ |a − b|`; +- never use 16-bit storage. Convert to user units only at the API boundary by dividing by +`normalising_constant`. Also expose a decibel value, `gap_db = 10*log10(e) * gap`, because the +cultivation and yoking papers bin gaps in dB. + +### 2.2 One observable at a time + +fastgap computes the gap for one logical observable index `k` per call (default 0). For `K` +observables, call it once per observable. All experiments planned so far use one observable. + +### 2.3 Canonicalise the observable onto the boundary (once per DEM) + +Stim DEMs can attach an observable flip to interior edges. fastgap first applies a **gauge change** +so that observable `k` appears only on boundary edges. + +Work on the **raw DEM error list** (after `decompose_errors`), not on PyMatching's merged graph. +PyMatching's `UserGraph` does two things that would hide problems: +- it merges parallel edges (`merge_edge_or_boundary_edge`, `INDEPENDENT`) and keeps the *first* + edge's observables; +- it silently drops errors with more than two detectors (`handle_dem_instruction`). + +The steps are: + +1. Consider the interior graph (all 2-detector edges, no boundary). Assign each detector a bit + `s(x)` by BFS so that every interior edge `(u,v)` satisfies `obs_k(u,v) = s(u) XOR s(v)`. +2. If some interior cycle has odd observable parity, no such `s` exists. Raise a clear error: the + code has a logical that never touches a boundary, which v1 does not support. +3. New observable labels: interior edges get `obs'_k = 0`; a boundary edge at `u` gets + `obs'_k(u,b) = obs_k(u,b) XOR s(u)`. +4. **Parallel-edge check.** If two raw mechanisms share the same detector set but differ in + `obs'_k`, raise an error. This is a local weight-2 logical: PyMatching's comment on merging + says "the code has distance 2". In particular, a detector must not have boundary edges on both + `L` and `R`, because PyMatching would merge them into one boundary edge and the `L`/`R` model + below could no longer describe the decoder. + +For any error set `E` with syndrome `D`, `obs'_k(E) = obs_k(E) XOR (XOR_{x ∈ D} s(x))`. The shift is +a constant per shot, so the two logical classes are relabelled but not changed, and `W*`, `W^c`, +`Δ` are unchanged. When fastgap reports a prediction it must XOR the shift back in. + +**One graph for everything.** After canonicalisation, write the result out as a new DEM (the +*canonical DEM*). Build every consumer from that same canonical DEM, so they all see identical +edges, weights and internal units: +- fastgap's PyMatching decode; +- the landmark and table index; +- the exact two-decode baseline, where the observable becomes an extra detector; this is valid + because the canonical DEM has the observable only on boundary edges, so no 3-detector errors + appear. + +Assert that the baseline graph and fastgap's graph have the same `normalising_constant`. For +externally supplied reference DEMs (the cultivation `gap_dem`), see §7.3. + +After canonicalisation the single boundary `b` splits into two: +- `L`: boundary edges with `obs' = 1`; +- `R`: boundary edges with `obs' = 0`. + +A matching's class is the parity of its number of `L`-edges. Interior distances no longer depend on +parity. Every experiment DEM we plan to use (surface-code memory, yoked patches, phenomenological +inner patches, the cultivation escape-stage matchable DEM) has boundaries and passes step 2. Add a +test for each. + +### 2.4 Decoder state after the first decode + +After sparse blossom finishes: + +- every defect `v` has a leaf region with radius `y_v`; +- every blossom region `S` has radius `y_S` (PyMatching stores a blossom's *extra* radius, which is + exactly `y_S`); +- the matching `M*` pairs each defect with another defect or with the boundary, along a path whose + observable mask is known. + +Standard LP facts that the algorithm relies on (Edmonds 1965; Higgott & Gidney 2025): + +- **Feasibility:** `σ(u,v) ≥ 0` for every pair and `σ(u,X) ≥ 0` for `X ∈ {L,R}`. +- **Tightness:** `σ = 0` on every edge of `M*`, and on every edge inside a blossom's odd cycle. +- **Strong duality:** `W* = Σ_v y_v + Σ_S y_S`. (PyMatching itself computes the weight this way in + `shatter_blossom_and_extract_matches`.) +- **Complementary slackness:** if `y_S > 0`, exactly one edge of `M*` crosses `S`, called the + **base** of `S`. + +--- + +## 3. The algorithm + +### 3.1 Why a shortest path + +`M* XOR M^c` (the edges in exactly one of the two matchings) decomposes into components. Each +defect has degree 0 or 2 in it (one hop, one relay), and `L`/`R` can have any degree. Components +are cycles, paths from a boundary back to itself, or `L`–`R` paths. After §2.3 only `L`–`R` paths +change the class. Flipping any component costs `Σ hops dist − Σ relays dist ≥ 0`, because `M*` is +optimal. For the optimal `M^c` the difference is therefore a single simple `L`–`R` alternating +path `P`, so + +``` +Δ = min over simple alternating L–R paths P of [ Σ_{hops} dist − Σ_{relays} dist ]. +``` + +Hops and relays alternate along `P`. The two end edges touch `L` or `R` and may be of either +kind: a defect that `M*` matches to `L` can be released by a relay at the start of the path. A +path with no defects is the bare `L`–`R` chain of weight `d_LR`; this is why `W^c` is defined over +matchings that may include one such chain. + +### 3.2 Reduced costs turn it into a non-negative shortest path + +Relays are tight, `dist(a,b) = ρ_a + ρ_b − 2β(a,b)`, and every interior defect of `P` lies on one +hop and one relay. Moving `ρ` from each relay onto its neighbouring hops telescopes the sum: + +``` +cost(P) = Σ_{hops h} σ(h) + 2 Σ_S y_S · n_S(P), +``` + +Here `n_S(P) ≥ 0` counts the maximal runs of `P` inside blossom `S` that are entered **and** left +by hops. Runs that use the base contribute 0, and a simple path cannot use the base twice. So +every simple `P` satisfies `cost(P) ≥ Σ_hops σ(h)`, with every term non-negative. The proof is +in the talk slides (Blossoms 1–3) and the advisor report. + +### 3.3 The search: "stand at x, hop to u, relay to mate(u)" + +The search below is written with a generic hop price `c(x,u) ≥ 0`. +- With exact reduced costs, `c = max(σ, 0) = σ`, the answer is called `Δ_σ`. +- With the priced reduced costs `c = σ̂` of §3.4, the answer is `Δ_σ,H`, the number fastgap + computes. + +The walks are of the following kind: + +- **State:** "standing at `x`", with `x ∈ D ∪ {L}`. Standing at a defect `x` means we arrived at + `x` by a relay from `mate(x)` and must leave `x` by a hop. +- **Start:** standing at `L` with cost 0. Also standing at every defect `u` with `mate(u) = L`, + with cost 0 (a free relay `L ⇒ u`). +- **Move A (hop to a defect):** from `x`, hop to a defect `u ≠ x`, `u ≠ mate(x)`, paying + `c(x,u)`. Then relay to `m = mate(u)`: + - if `m` is a defect, the new state is standing at `m`; + - if `m = R`, the walk is finished; + - if `m = L`, discard the move (it only returns to the start). +- **Move B (hop to `R`):** from `x`, pay `c(x,R)`. The walk is finished. From `x = L` this + price is `d_LR = dist(L,R) = min_x (h_L(x) + h_R(x))`, the weight of the lightest logical, + stored once in the index. It is the answer when a shot has no defects. +- **Answer:** the cost of the cheapest finished walk. + +Boundary prices are `c(L,u) = dist(L,u) − ρ_u` and `c(x,R) = dist(x,R) − ρ_x`, always exact. The +graph is complete on `|D|+2` states with non-negative costs, so use **dense (array-based) +Dijkstra**: `O(|D|^2)` time, no heap, and cache-friendly rows. The matrix `P[x][u] = c(x,u)` is +symmetric. Row `x` is read when standing at `x`. + +Why this is a lower bound: every simple alternating path is one of these walks, with hop prices +`≤` its true cost. The search also admits walks that reuse a matched pair (land on `u`, later +land on `mate(u)`), and those only lower the minimum. Hence `Δ_σ ≤ Δ` on every shot, blossoms +included. + +### 3.4 Pricing a hop without visiting the volume + +``` +σ̂(u,v) = max( d̂(u,v) − ρ_u − ρ_v + 2β(u,v), 0 ) +d̂(u,v) = dist(u,v) if v is in u's local table (radius R_tab), exact + = max(LB(u,v), R_tab + 1) otherwise (not in the table ⇒ dist > R_tab; integers) +LB(u,v) = max_ℓ |h_ℓ(u) − h_ℓ(v)| +``` + +The boundary prices `dist(u,L)` and `dist(u,R)` are always exact, because `L` and `R` are +mandatory landmarks (§7.1). + +Since `d̂ ≤ dist`, it follows that `σ̂ ≤ σ` and therefore **`Δ_σ,H ≤ Δ_σ ≤ Δ`**. This is the number +fastgap reports as `gap_lb`. The clamp at 0 is safe because `σ ≥ 0`. + +### 3.5 Optional upper bound on the same walk + +Let `r(u) = ρ_u − β(u, mate(u))`, with `β = 0` when the mate is a boundary. Relays then split +exactly: `dist(u, mate(u)) = r(u) + r(mate(u))`. If the returned walk `P_H` is simple, meaning it +visits each defect at most once (no matched pair is used twice), then + +``` +Δ ≤ cost(P_H) = Σ_{hops (a,b) of P_H} ( dist(a,b) − r(a) − r(b) ) =: Δ_h, with r(L) = r(R) = 0. +``` + +Compute `dist` exactly only for the hops of `P_H`: typically 1–5 targeted queries per shot (§5.4). +Report `gap_ub = Δ_h` when the walk is simple and `+inf` otherwise. The interval +`[gap_lb, gap_ub]` always contains `Δ`. For post-selection at threshold `τ`: keep if +`gap_lb ≥ τ`, discard if `gap_ub < τ`, and otherwise mark the shot uncertain. Log the uncertain +fraction. + +### 3.6 Early termination + +When a threshold `τ` is given, stop the Dijkstra as soon as the smallest unsettled label is +`≥ τ`, and report `gap_lb = τ` with the flag `censored = True`. Post-selection needs nothing more. + +--- + +## 4. Public API (target) + +Python, in a new package `fastgap` that ships in the same distribution as the forked `pymatching`: + +```python +import fastgap + +idx = fastgap.GapIndex.from_dem( + dem, # stim.DetectorErrorModel (graphlike after decompose_errors=True) + observable=0, + strategy="auto", # landmark strategy name or LandmarkStrategy object (§7) + num_landmarks=16, + table_radius=None, # internal-unit radius of exact local tables; None = auto (§7.4) +) +idx.save(path); idx = fastgap.GapIndex.load(path) # tables are expensive; cache per DEM + +dec = fastgap.GapDecoder(idx, num_threads=1) +res = dec.decode(syndrome, threshold=None, upper_bound=False) +# res.prediction : uint8 array of observable flips (original, un-gauged labels) +# res.weight : W* in user units +# res.gap_lb : Δ_σ,H in user units res.gap_lb_db : same in dB +# res.gap_ub : Δ_h or inf (if upper_bound) res.censored : bool (early stop) +# res.walk_simple, res.all_hops_exact, res.num_defects, res.num_blossoms +# res.t_decode_ns, res.t_gap_ns (per-stage timings) + +batch = dec.decode_batch(shots_bit_packed, threshold=None, upper_bound=False) # arrays of the above + +# Exact baseline (two PyMatching decodes on the gauge-fixed DEM with the observable turned into +# an extra detector, the method used in Gidney's cultivation and yoking code): +exact = fastgap.exact_gap_batch(idx, shots_bit_packed) # returns (prediction, w_star, gap) +``` + +C++ core under `src/pymatching/fastgap/` (namespace `pm::fastgap`). Keep the upstream +`pymatching` package importable and unmodified in behaviour, so upstream tests still pass and +future rebases stay easy. Do not install upstream `pymatching` in the same environment. + +--- + +## 5. Implementation plan + +Work in phases. Each phase ends with its tests green (§9) and a short entry in `NOTES.md`. + +### 5.1 Phase 1: extract the dual state from PyMatching + +Relevant upstream code: + +- `src/pymatching/sparse_blossom/driver/mwpm_decoding.cc`: `process_timeline_until_completion` + runs sparse blossom to termination. `shatter_blossoms_for_all_detection_events_and_extract_match_edges` + then walks the region trees and **deletes** the regions (`flooder.region_arena.del`). Both are + file-local free functions, not declared in `mwpm_decoding.h`. Add declarations there; this is + the one small upstream edit. Keep it minimal so rebases stay easy. +- `src/pymatching/sparse_blossom/flooder/graph_fill_region.h`: `GraphFillRegion` has + `radius` (`VaryingCT`), `blossom_parent`, `blossom_parent_top`, `blossom_children` (vector of + `RegionEdge {region, edge}` around the odd cycle), and `match` (`{region, edge}`; `region == + nullptr` means matched to the boundary). +- `src/pymatching/sparse_blossom/matcher/mwpm.cc`: `create_detection_event` allocates one leaf + region per defect. `shatter_blossom_and_extract_match_edges` produces the final + `CompressedEdge {loc_from, loc_to, obs_mask}` list, where `loc_to == nullptr` means the + boundary. + +Add `pm::fastgap::extract_dual_state(Mwpm&, const std::vector& detection_events, DualState&)`: + +1. Record the leaf region of each defect when it is created. Add a hook in + `Mwpm::create_detection_event`, or read `nodes[i].region_that_arrived` right after event + creation. Do not assume `region_that_arrived` still points at the leaf after flooding + without testing it. +2. Call `process_timeline_until_completion`. +3. **Before shattering**, walk each defect's leaf → `blossom_parent` chain up to the top. + - Assert every region is frozen. + - Read each value with `radius.get_distance_at_time(flooder.queue.cur_time)`. For frozen + regions this equals `y_intercept()`. + - Assign dense ids to blossom regions. + - Store per defect: `y_leaf`, the ancestor list `[(blossom_id, y_S)]`, and `rho`. + - Store per blossom: its `y_S` and its depth. + - `β(u,v)` is the summed `y_S` of the common ancestors. With a per-defect ancestor list and + blossom depths this is a short merge. Most pairs share no blossom, so add a fast path: + `top(u) != top(v) → β = 0`. +4. Shatter with the existing `shatter_blossoms_for_all_detection_events_and_extract_match_edges` + to get `mwpm.flooder.match_edges`. From these, build `mate[u]` (defect index, or `L`/`R` after + gauge-fixing the edge's `obs_mask` bit `k` together with `s(u)`) and each relay's observable + parity. +5. Take `W* = Σ y` (all leaf and blossom values) from the pre-shatter walk. This is exactly what + upstream computes: it sums `y_intercept()` while shattering. After shattering to match edges + the regions are gone and cannot be shattered again, so this is the only point where `W*` can be + read. The prediction is the XOR of the match edges' `obs_mask`, plus the gauge shift. +6. Handle the upstream corner cases: + - detection events on user-declared boundary nodes are skipped by upstream; do the same; + - negative-weight graphs throw an error in v1; + - an odd component with no boundary makes upstream throw; propagate that error. + +Debug invariants (behind `FASTGAP_CHECK`, always on in tests): +- `Σ y == W*` in internal units; +- for every `M*` relay, `ρ_u + ρ_v − 2β(u,v) == dist(u,v)` (take `dist` from a brute-force + Dijkstra in tests); +- `σ ≥ 0` for all defect pairs in small tests. + +### 5.2 Phase 2: exact reduced-cost Dijkstra (no landmarks yet) + +- Implement §3.3 with exact `dist` from a per-shot brute-force multi-source Dijkstra. This is + slow, and it is the reference `Δ_σ`. +- Implement the exact baseline `Δ`: two PyMatching decodes on the gauge-fixed DEM with the + observable converted into an extra detector toggled on or off. This mirrors + `cultiv/_decoding/_pymatching_gap_sampler.py` and `_desaturation_sampler.py` in + `Strilanc/magic-state-cultivation`, which require the observable to live on boundary edges; + §2.3 guarantees that. +- Add a brute-force exact `Δ` (enumerate all matchings) for graphs with ≤ 10 defects. + +### 5.3 Phase 3: index (tables and landmarks) and the priced search + +- `GapIndex` stores: + - the gauge bits `s(x)`; + - boundary potentials `h_L`, `h_R`; + - `K` landmark potentials (`int64`, or `uint32` saturated at a cap; see §2.1); + - exact local tables: for each detector, a sorted list of `(neighbour id, dist)` for + `dist ≤ R_tab`, excluding transit through `b`; + - the strategy config and its hash. + Build it by Dijkstra over the interior graph; each landmark is a multi-source Dijkstra + (a set of nodes at distance 0). +- Pair lookup `d̂(u,v)`: search `v` in `u`'s table (binary search, or a small hash for large + tables), and fall back to `LB`. Store potentials node-major (`K` values contiguous per node), + so `LB` is two cache lines. +- Price matrix: fill the upper triangle, parallelised by row blocks with a persistent thread pool + created once per `GapDecoder`. Never spawn threads per shot: that alone costs microseconds. +- Dense Dijkstra: single-threaded, over `|D|+2` states, with predecessor tracking for path output. + +### 5.4 Phase 4: upper bound and diagnostics + +- Exact distance for a hop: build the upstream `SearchFlooder` (`get_mwpm_with_search_graph`) and + use its shortest-path routine between two detectors. Alternatively, write an A* on the flooder + graph using `LB` as the heuristic; it is consistent because `LB` is 1-Lipschitz. Either way, + exclude transit through the boundary, and verify against brute-force Dijkstra. +- Per-shot diagnostics, kept cheap: + - `walk_simple`; + - `all_hops_exact` (every hop of `P_H` came from a table); + - number of hops; + - `Σ (dist − d̂)` over the hops (only when `upper_bound=True`); + - `num_blossoms`; + - whether any hop was a hop-in/hop-out pass through a blossom. + +### 5.5 Phase 5: Python bindings, CLI, benchmark + +- pybind11 bindings following `user_graph.pybind.cc`. Batch entry points take bit-packed shots, + like upstream `decode_batch`. +- CLI: + - `python -m fastgap bench --dem X.dem --shots N --threads T` writes per-shot CSV rows: + `shot, num_defects, w_star, gap_exact, gap_lb, gap_ub, t_decode_ns, t_gap_ns, t_exact_ns, + walk_simple, all_hops_exact, censored`; + - `python -m fastgap build-index --dem X.dem --strategy S --out X.idx`. +- Timing rules: + - use `std::chrono::steady_clock` around each stage; + - warm up with 1000 shots; + - pin threads when the OS allows; + - report median, p99 and p99.9; + - report single-thread and `T`-thread numbers, plus core-seconds per shot; + - report compute-only latency separately from end-to-end latency (syndrome arriving from + outside the process, answer leaving it). Craig Gidney pointed out that the end-to-end number + is the relevant one for real-time use. + +--- + +## 6. Correctness rules (must always hold) + +1. `gap_lb ≤ gap_exact` on **every** shot of every test DEM. Compare in **integer internal + units**, after asserting that both come from graphs with identical edges and the same + `normalising_constant`. A single violation is a bug. Stop and investigate; never loosen the + test or add a float tolerance. +2. `gap_ub ≥ gap_exact` whenever `walk_simple`. +3. The prediction and `W*` are bit-identical to upstream PyMatching on the same DEM and shot + (after undoing the gauge shift). +4. Every distance used in pricing is `≤` the true interior distance. Never use a heuristic that + can overestimate, for example a closed-form lattice formula on a DEM with defects, hook edges + or postselected detectors, unless it is proven to be a lower bound. +5. Integer arithmetic only inside the core. No floats in pricing or Dijkstra. + +--- + +## 7. Landmark placement is DEM-dependent (framework for future experiments) + +Landmark quality decides how tight `gap_lb` is, and its correctness never depends on the choice: +any set of exact potentials gives a valid lower bound. Different DEMs need different strategies, +so placement is a pluggable component, and every experiment records which strategy produced its +numbers. + +### 7.1 Interface + +```python +class LandmarkStrategy(Protocol): + name: str + def select(self, graph: InteriorGraph, coords: dict[int, list[float]] | None, + meta: dict, k: int) -> list[LandmarkSource]: ... +# LandmarkSource = frozenset[int] of detector ids (distance 0 at every member), plus a label. +``` + +- `L` and `R` (the two boundary sides from §2.3) are **always** added by the framework, outside + any strategy. Two reasons: + - boundary hop prices must be exact; + - the yoking distance-preservation argument needs `|h_L(u) − h_L(v)| ≤ d̂(u,v)`. Keeping the + `L` potential in the landmark set guarantees that the bound "sees" the full `L`–`R` + separation. +- A landmark may be a **set** of nodes (a face, a time slice). Distance-to-a-set is 1-Lipschitz, + so `LB` stays valid. +- The strategy config (name, parameters, chosen sources) is serialised into the index file and + hashed. Output CSVs carry the hash. + +### 7.2 Built-in strategies + +| Strategy | Use for | Sources | +|---|---|---| +| `boundary_only` | ablation baseline | nothing beyond `L`, `R` | +| `faces` | surface-code memory, yoked patches | the time faces (first-round and last-round detectors) and the two spatial faces not already covered by `L`/`R`, found from detector coordinates | +| `faces_corners` | default for surface-code memory | `faces` plus the 8 spacetime corners (nearest detector to each bounding-box corner) | +| `fps` | any DEM, needs no coordinates | farthest-point sampling in the graph metric: start from `L ∪ R`, repeatedly add the detector farthest from all current landmarks | +| `greedy_cover` | tuning on a new DEM | from a candidate pool (e.g. `faces_corners ∪ fps(4k)`), greedily add the landmark that most increases `Σ LB` over hop pairs sampled from real shots (the hops of `P_H` on a few thousand shots). This is the "maxcover" idea for ALT landmarks (Goldberg & Harrelson, SODA 2005). | +| `grafted` | magic-state-cultivation escape DEM | see §7.3 | +| `phenomenological` | inner patches for qLDPC concatenation | uniform `L1` lattice: `faces_corners` is usually already near-exact; confirm with the tightness report | + +`auto` picks by inspecting the DEM: +- with `coords` and a regular lattice → `faces_corners`; +- with cultivation coordinate annotations (a 5th coordinate, or virtual pair nodes) → `grafted`; +- otherwise → `fps`. + +### 7.3 The grafted cultivation DEM + +The escape-stage DEM from Gidney's `DesaturationSampler` is a grafted code: a color-code region +made matchable by postselection and **virtual pair ("doublet") nodes**, embedded in a surface +code, plus a transition slab in time. + +- The irregular region is about `d1^2` in space by `r1` rounds in time. Distances bend around it, + so face landmarks alone are loose there. +- Place landmark sets on: + - the virtual pair nodes (as one set, and optionally per colour); + - the time slice where the code switches from grafted to matchable; + - the first and last rounds; + - the surface-code faces; + - then fill the rest of the budget with `fps` restricted to the irregular region. +- Use a larger `table_radius` inside the irregular region if memory allows. Exact tables are the + cheapest way to be tight where the geometry is complicated. +- Build fastgap's graph from **exactly the edges PyMatching keeps** when it loads Gidney's + desaturation `gap_dem` (`pymatching.Matching.from_detector_error_model(gap_dem).edges()`): + - edges to the observable detector become `L` boundary edges (`obs' = 1`); + - ordinary boundary edges become `R` edges; + - drop the observable-detector node; + - keep weights exactly. + + Why not reconstruct from the DEM text: `_dem_with_obs_detector` keeps the `L0` targets, and + PyMatching drops any 3-detector error it creates, so a DEM-level "inverse" would contain edges + the reference decoder never saw. + + Add a test that fastgap's edge set, weights and `normalising_constant` match the reference + graph exactly, and run the §2.3 parallel-edge check on it. +- Check how postselected detectors appear: clipped errors become synthetic boundary edges, which + can sit in the middle of the patch. Potentials computed by Dijkstra on this graph remain valid + automatically; only coordinate-based shortcuts would break. + +### 7.4 Table radius and memory + +- `table_radius` is chosen per DEM: + - default: about 4 edge weights, i.e. `4 · median(edge weight)`; + - for high-`p` concatenation DEMs, large enough that most overlapping-region pairs are exact. +- Report table memory (bytes per detector) and potential memory (`K × 4` bytes per detector) at + build time. + +### 7.5 Tightness report (run for every new DEM or strategy) + +`python -m fastgap landmark-report --dem X.dem --idx X.idx --shots 10000` writes: +- the distribution of `LB/dist` on hop pairs sampled from real shots; +- the fraction of shots with `gap_lb == Δ_σ` (exact-distance reference) and with + `gap_lb == gap_exact`; +- a histogram of `gap_exact − gap_lb` in dB, split into: + - the `LB` part: `Δ_σ − Δ_σ,H`; + - the alternation/blossom part: `Δ − Δ_σ`; +- the time per shot. + +Future experiments add strategies by implementing `LandmarkStrategy` and registering them in +`fastgap/landmarks/__init__.py`. Never edit the core. + +--- + +## 8. Repository conventions + +- New C++ lives in `src/pymatching/fastgap/`, with `*.test.cc` beside each file (GoogleTest, like + upstream). +- Register new C++ sources in `CMakeLists.txt`; `setup.py` delegates to CMake. The Bazel `BUILD` + file globs `src/**/*.cc`, so check that new test files do not end up in the library target. +- New Python lives in `src/fastgap/`, with tests in `tests/fastgap/`. +- Keep every upstream test passing: `pytest tests`, plus the C++ test target. +- Update `README.md` with an "fastgap" section once Phase 5 lands. +- Benchmarks go in `benchmarks/fastgap/`, with the DEM generation script, the index config, and + the raw CSV. Never commit only a summary. + +--- + +## 9. Test plan (all must pass before any experiment uses fastgap) + +1. **Tiny exact:** random small DEMs (≤ 10 defects) cover: + - all-pairs `σ ≥ 0`; + - relays tight; + - `Σ y = W*`; + - `gap_exact` (two-decode) equals the brute-force `Δ`; + - `gap_lb ≤ Δ_σ ≤ Δ`; + - `gap_ub ≥ Δ` when `walk_simple`. +2. **Gauge:** gauge-fixing leaves `Δ` unchanged, and flips the prediction exactly by the + per-shot shift. It raises the documented error on a toroidal/boundaryless DEM. +3. **Blossom-heavy:** rotated surface-code memory (`stim.Circuit.generated`, + `rotated_memory_x/z`), `d ∈ {3,5,7}`, `p ∈ {5e-3, 1e-2}`, 10^5 shots each. Check + `gap_lb ≤ gap_exact` on every shot, and log how often blossoms occur. +4. **Scale:** `d ∈ {9,13,17}` at `p ∈ {5e-4, 1e-3}`, 10^5 shots, same soundness check plus + the latency report. +5. **Upstream parity:** predictions and weights identical to upstream on all of the above. +6. **Index round-trip:** save and load produce bit-identical results. diff --git a/CMakeLists.txt b/CMakeLists.txt index 7dd3a2363..4f8aaecba 100644 --- a/CMakeLists.txt +++ b/CMakeLists.txt @@ -60,6 +60,25 @@ set(SOURCE_FILES_NO_MAIN src/pymatching/rand/rand_gen.cc ) +# fastgap: certified complementary-gap lower bounds from the decoder's final dual state. +set(FASTGAP_SOURCE_FILES + src/pymatching/fastgap/canonical.cc + src/pymatching/fastgap/interior_graph.cc + src/pymatching/fastgap/dual_state.cc + src/pymatching/fastgap/gap_index.cc + src/pymatching/fastgap/gap_decoder.cc + src/pymatching/fastgap/exact.cc + ) + +set(FASTGAP_TEST_FILES + src/pymatching/fastgap/canonical.test.cc + src/pymatching/fastgap/interior_graph.test.cc + src/pymatching/fastgap/dual_state.test.cc + src/pymatching/fastgap/gap_index.test.cc + src/pymatching/fastgap/gap_decoder.test.cc + src/pymatching/fastgap/exact.test.cc + ) + set(TEST_FILES src/pymatching/sparse_blossom/driver/namespaced_main.test.cc src/pymatching/sparse_blossom/driver/mwpm_decoding.test.cc @@ -109,7 +128,9 @@ install(TARGETS pymatching RUNTIME DESTINATION bin) enable_testing() -add_executable(pymatching_tests ${SOURCE_FILES_NO_MAIN} ${TEST_FILES}) +add_executable(pymatching_tests ${SOURCE_FILES_NO_MAIN} ${TEST_FILES} ${FASTGAP_SOURCE_FILES} ${FASTGAP_TEST_FILES}) +# fastgap's debug invariants (CLAUDE.md §5.1) are always on in tests. +target_compile_definitions(pymatching_tests PRIVATE FASTGAP_CHECK) target_compile_options(pymatching_tests PRIVATE -fsanitize=address -g -fsanitize=undefined -fno-omit-frame-pointer -coverage) if (NOT (MSVC)) target_link_options(pymatching_tests PRIVATE -pthread -fsanitize=address -fsanitize=undefined -coverage) @@ -144,6 +165,17 @@ IF(EXISTS ${CMAKE_CURRENT_LIST_DIR}/pybind11/CMakeLists.txt) pybind11_add_module(_cpp_pymatching ${PYTHON_API_FILES} ${SOURCE_FILES_NO_MAIN}) target_link_libraries(_cpp_pymatching PRIVATE libstim) target_compile_options(_cpp_pymatching PRIVATE ${ARCH_OPT}) + + pybind11_add_module(_cpp_fastgap src/pymatching/fastgap/fastgap.pybind.cc ${SOURCE_FILES_NO_MAIN} ${FASTGAP_SOURCE_FILES}) + target_link_libraries(_cpp_fastgap PRIVATE libstim) + target_compile_options(_cpp_fastgap PRIVATE ${ARCH_OPT}) + # setup.py builds both extensions from one CMake tree; each lands in its own package directory. + if (DEFINED PYMATCHING_PY_OUTPUT_DIR) + set_target_properties(_cpp_pymatching PROPERTIES LIBRARY_OUTPUT_DIRECTORY ${PYMATCHING_PY_OUTPUT_DIR}) + endif () + if (DEFINED FASTGAP_PY_OUTPUT_DIR) + set_target_properties(_cpp_fastgap PROPERTIES LIBRARY_OUTPUT_DIRECTORY ${FASTGAP_PY_OUTPUT_DIR}) + endif () else() message("WARNING: Skipped the pybind11 module _cpp_pymatching because the `pybind11` git submodule isn't present. To fix, run `git submodule update --init --recursive`") endif() diff --git a/NOTES.md b/NOTES.md new file mode 100644 index 000000000..5b3657923 --- /dev/null +++ b/NOTES.md @@ -0,0 +1,382 @@ +# fastgap implementation notes + +Fork point: upstream PyMatching `6f63b2b9474ba0fa7e511fe52bffdce858a06984`. The file and function +names in CLAUDE.md §5.1 were checked against this commit and are unchanged. + +Environment used for the benchmark numbers below: Apple M5 Pro (arm64; 5 "Super" cores sharing +one L2, plus 10 performance cores in two L2 clusters), macOS 26.5, Apple clang 21, Python 3.14, +stim 1.16. Older sections (speed history, soundness tables before the re-run) were measured on an +earlier Apple M-series laptop with Apple clang 16 and Python 3.12. The timer is `std::chrono::steady_clock`, which ticks in +steps of ~41.7 ns on this machine, so sub-microsecond medians are quantised. macOS has no hard +thread-affinity API, so `--pin` is a no-op here; pinning only takes effect on Linux. + +## Layout + +| Path | What | +|---|---| +| `src/pymatching/fastgap/canonical.{h,cc}` | §2.3 gauge fixing on the raw flattened DEM, the parallel-edge check, canonical and baseline DEMs/graphs | +| `src/pymatching/fastgap/interior_graph.{h,cc}` | CSR copy of the decoder's own `MatchingGraph` (integer weights, sides L/R), Dijkstra, A* | +| `src/pymatching/fastgap/dual_state.{h,cc}` | §5.1 `extract_dual_state`: dual radii before shattering, then the upstream shatter for `mate` | +| `src/pymatching/fastgap/gap_index.{h,cc}` | §5.3 index: `h_L`, `h_R`, landmark potentials, exact local tables, save/load | +| `src/pymatching/fastgap/gap_decoder.{h,cc}` | §3.3–3.6 dense Dijkstra over hop/relay states, the upper bound, diagnostics, batch decoding | +| `src/pymatching/fastgap/exact.{h,cc}` | §5.2 two-decode baseline and the brute-force subset DP | +| `src/pymatching/fastgap/thread_pool.h` | `SpinTeam` (the threads that share one shot's search) and `ThreadPool` (shot-parallel exact baseline) | +| `src/pymatching/fastgap/fastgap.pybind.cc` | `fastgap._cpp_fastgap` (internal integer units only) | +| `src/fastgap/` | Python API (`GapIndex`, `GapDecoder`, `exact_gap_batch`), landmark strategies, CLI | +| `tests/fastgap/` | §9 tests in Python; C++ tests are the `*.test.cc` files next to each source | +| `benchmarks/fastgap/` | DEM generator, index config, run script, raw CSVs and summaries | + +The only upstream edit is the pair of declarations added to `driver/mwpm_decoding.h`. Build +plumbing changed too: `CMakeLists.txt` adds `FASTGAP_*` source lists, the `_cpp_fastgap` module +and `-DFASTGAP_CHECK` on the test target; `setup.py` builds both extensions from one CMake tree; +`BUILD` adds `-DFASTGAP_CHECK` to `cc_test`. Upstream tests still pass: 116 upstream C++ tests, +92 upstream Python tests (13 skipped by upstream for optional dependencies). + +Note for macOS (case-insensitive file systems): `cmake -B build` collides with Bazel's `BUILD` +file. Use another directory name, e.g. `cmake -B cmake-build` (already git-ignored). + +## Local tables removed (branch `remove-local-tables`, 2026-11-01) + +The exact local distance tables are gone. The index now holds only the boundary potentials and +the landmark potentials, and hop distances are priced by the landmark bound alone: +`d̂(u, v) = LB(u, v)`. The sections above that mention tables describe the earlier design. + +- `GapIndex::set_landmarks(sources, config)` no longer takes a radius. `table_radius`, + `table_bytes`, `table_lookup` and the `--table-radius` CLI flag are removed. The index file + format is now version 2. +- `compute_row` prices a row from the potential-major landmark block only. No node→defect map is + needed any more. +- `exact_distance` (used only for `gap_ub`) is always an A* with the landmark heuristic. +- `all_hops_exact` is now true only when the walk has no defect–defect hop. +- Tests: the table tests became `DHatIsALowerBound` and `EveryNodeALandmarkGivesExactSigma` + (every node a landmark ⇒ LB = dist ⇒ index pricing equals exact pricing). The phenomenological + tightness test now expects > 60% exact shots instead of > 90% (measured: 67%). Every soundness + test is unchanged and passes: 30 C++ fastgap tests and 75 Python tests. +- `GapIndexCore.dual_state(events)` (new binding) returns one shot's final dual state: `y_leaf`, + `rho`, `y_blossom`, ancestor blossoms and `mate`. It is used for the paper's figures. +- Benchmarks were re-run with `--no-upper-bound` (the paper does not report `gap_ub`), with + `rmx_d15_p1e-3` added. All 7 DEMs: 0 soundness violations. Gap-stage medians at T = 1 fell + (d = 17: 18.9 → 10.1 µs) because there is no table scan and no `gap_ub`. Since rows are now + cheaper, T = 4 helps only at d = 17 (10.1 → 8.5 µs); at d = 7 and d = 13 it is slower than + T = 1. Both numbers are reported as measured. + +Decode that both methods share, after the re-run (median / p99): + +| DEM | mean defects | fastgap decode (PyMatching) | baseline decode in the class of M* | +|---|---|---|---| +| rmx_d5_p5e-3 | 8.4 | 0.83 / 5.0 µs | 0.88 / 4.7 µs | +| rmx_d7_p5e-3 | 25.3 | 3.21 / 12.8 µs | 3.33 / 12.0 µs | +| rmx_d5_p1e-3 | 1.8 | 0.08 / 1.2 µs | 0.12 / 1.2 µs | +| rmx_d9_p1e-3 | 12.0 | 0.96 / 3.8 µs | 1.04 / 4.0 µs | +| rmx_d13_p1e-3 | 38.3 | 3.17 / 7.8 µs | 3.50 / 8.7 µs | +| rmx_d15_p1e-3 | 59.6 | 5.12 / 10.8 µs | 5.50 / 11.8 µs | +| rmx_d17_p1e-3 | 87.8 | 7.79 / 14.4 µs | 8.42 / 16.3 µs | + +## Phase 1: dual state (§5.1) + +- `extract_dual_state` validates and indexes the events first, then calls the upstream + `process_timeline_until_completion`. Before shattering, it walks every defect's leaf → + `blossom_parent` chain. It checks that each region is frozen, that + `get_distance_at_time(now) == y_intercept()`, and that `region_that_arrived_top` agrees with + the chain. Each defect stores its ancestors top-first with prefix sums, so `β(u,v)` is a + common-prefix walk; when the top blossoms differ it returns 0 immediately. +- Leaf identification: the leaf is read from `nodes[d].region_that_arrived` *after* flooding, + without hooking `create_detection_event`. The code checks on every shot that this region has + no children and that `reached_from_source == &node`. The checks are cheap and have not fired on + any of the several million shots decoded by the test suite: the source node of a detection + event is never released by its own leaf region. +- `W* = Σ y` is read before shattering. Tests compare it bit-for-bit with upstream's weight on + random grids (blossom-heavy) and on surface codes. +- Upstream corner cases: events on user-declared boundary nodes are skipped exactly as upstream + does. Negative weights are rejected (p > 0.5 at canonicalisation; any negative-weight state in + the Mwpm). "No perfect matching" propagates, and the Mwpm stays usable afterwards (tested). Bad + shots (duplicate or out-of-range events) are rejected before flooding, so the Mwpm is never + left half-processed. + +## Phase 2: references (§5.2) + +- `Pricing::EXACT` runs the same search with exact `dist`, computing one Dijkstra row per settled + state. This gives `Δ_σ`. +- `ExactBaseline` runs two upstream decodes on the baseline graph, with the observable detector + off and on. The baseline graph is built from the same canonical spec. Its normalising constant + is asserted equal to the decode graph's, both when the index is built and when the baseline is + constructed. +- `brute_force_gap`: a subset DP over ≤ 20 defects in the L/R model, including the bare L–R + chain. On random small DEMs it equals the two-decode baseline in both `W_even` and `W_odd`. + +## Phase 3: index and priced search (§5.3) + +- Canonicalisation works on `dem.flattened()`, splitting components at separators, as + PyMatching's own iterator does. The canonical DEM keeps every instruction in the same order and + changes only the observable-k labels of graphlike components, so PyMatching builds a + structurally identical graph. Merges and the first-edge observables are the same, and so are + `M*` and the tie-breaking. Upstream PyMatching itself parses `str(dem)`, which is not an exact + round trip of the probabilities, so fastgap also builds from `str(dem)`. The index stores that + text and re-canonicalises it on load. +- The distance graph is read from the decoder's own `MatchingGraph`, so its edges, weights and + units match the decoder's by construction. A 64-bit fingerprint of the graph is stored in the + index file and checked on load. +- Potentials: exact int64 in the index and the file. Pricing uses a saturated int32 copy (cap + 2³¹−1, §2.1), which halves the work and lets the bound vectorise; saturation keeps the bound + valid. +- Tables: a truncated Dijkstra from every detector, stored as CSR sorted by neighbour id. The + default radius is 4 × the median edge weight (§7.4). +- Search: dense Dijkstra over `|D|+2` states, as in §3.3. Implementation details that matter for + speed (prices are identical to the plain per-pair formula; tests compare against it): + - Labels live per *hop target*, not per state. Every target `u` (a defect not matched to `L`) + leads by its relay to exactly one place, `mate(u)` or `R`, so the label of state `mate(u)` + can sit at `u`'s position. Relaxing a row is then one contiguous, branch-free `min` pass, and + the argmin for the next iteration is fused into it. Targets that lead to states are sorted by + state index, so the first minimum is the serial tie-break. The start states (`L`, and defects + matched to `L`) have label 0, are never relaxed, and are kept in a separate sorted list. + - Each settled row is priced in one pass. The landmark bound is computed over a + potential-major block of the targets. The row's exact table is then scanned once through a + node→defect map, instead of one binary search per pair. + - Ties between finished walks are broken by (iteration, defect index), so the walk, and with it + `gap_ub`, never depends on the thread count. +- **Intra-shot parallelism.** `num_threads = T` threads cooperate on *each* shot; shots are always + decoded one after another (`decode_batch` is a plain loop). The aim is lower per-shot latency, + not throughput. + - Thread 0 runs the Dijkstra. The other `T − 1` threads *prefetch price rows*: each one + repeatedly claims (with a CAS) the free state whose tentative label is smallest and prices + its row into a shared row cache. Those are the states thread 0 settles next. Thread 0 + publishes a label to the prefetchers only when it drops. + - When thread 0 settles `x`, it uses row `x` if it is ready. Otherwise it prices the row itself, + or, if a prefetcher holds the claim, waits for it. A row's content does not depend on who + priced it, so every thread count gives bit-identical results (`gap_lb`, `gap_ub`, walk, + censoring). C++ and Python tests check this at T ∈ {2, 3, 4, 7}. + - Shared rows are int32, saturated at `cap = d_LR + 1`. This is exact, not approximate. After + `L` settles, `best ≤ d_LR`, so no state with a label ≥ `cap` is ever settled or on the walk, + and no candidate ≥ `cap` is ever the answer. Before `L` settles, only label-0 states settle. + When `d_LR + 1` does not fit in int32, the shot runs single-threaded. + - The threads are a `SpinTeam`. A condvar wake-up costs several µs, more than a whole search, so + idle workers spin for 2 ms after their last job before they sleep. On macOS they request the + user-interactive QoS class (performance cores). + - **Rejected: one barrier per settled state.** In that design each thread owned a slice of the + targets and all threads joined an all-reduce per iteration. On this M5 Pro an all-reduce costs + 70–150 ns at T = 2–4, about half of one row's work, so d=17 only reached 1.3×. + - **Rejected: gathering the potentials in parallel** at the start of a shot. The extra barrier + costs more than the ~0.5 µs it saves. + - Scaling is bounded by the core cluster. On this machine the 5 "Super" cores share one L2. + T ≤ 5 stays inside that cluster; at T > 5, prefetched rows cross clusters, and reading them + costs thread 0 more than pricing them itself. In microbenchmarks T = 4 and T = 5 were + within ~5% of each other. +- Speed history at d=17, p=1e-3 (88 defects per shot on average; median gap-stage time per shot, + no upper bound). Rows above the line were measured on the earlier machine, rows below it on + the M5 Pro: + + | step | time | + |---|---| + | first version: per-pair binary search plus int64 LB | 58.5 µs | + | row scan of the table, gathered potentials | 37.6 µs | + | int32 saturated potentials | 31.8 µs | + | active-target compaction | 27.9 µs | + | — M5 Pro: same code — | 21.0 µs | + | labels per target position, branch-free relax, fused argmin (T = 1) | 15.5 µs | + | row prefetching, T = 4 | 9.3 µs | + + For comparison, the decode is about 9.5 µs (earlier machine) and the exact baseline about + 600 µs. +- **Rejected idea, recorded so nobody retries it:** A* with the potential `h_R − ρ`. The intended + consistency argument needs an *upper* bound on `h_R(u)` across the relay `u ⇒ m`, but tightness + only gives `h_R(u) ≤ h_R(m) + ρ_u + ρ_m`, which leaves a slack of 2(ρ_u + ρ_m). Relays are free + in reduced-cost space, so there is no consistent goal potential of this form. The §9 soundness + test (`gap_lb ≤ gap_exact`) failed immediately on surface codes, and the change was reverted. + +## Phase 4: upper bound and diagnostics (§5.4) + +- Exact hop distances use an A* on the interior graph with the landmark bound as heuristic. + The heuristic is consistent because a max of 1-Lipschitz potentials is 1-Lipschitz, saturated + or not. It is verified against brute-force Dijkstra in `interior_graph.test.cc`. Table hits are + reused, and L/R hops use `h_L`/`h_R`. These are the only targeted distance queries. +- Diagnostics per shot: `walk_simple`, `all_hops_exact`, `num_hops`, `hop_slack = Σ(dist − d̂)` + (only with `upper_bound`), `num_blossoms`, and `blossom_pass` (a run inside a blossom entered + and left by hops, i.e. `n_S > 0`). +- Debug invariants (`check=True`; always on in the C++ tests through `FASTGAP_CHECK`): + - boundary reduced costs are ≥ 0; + - relays to L and R are tight; + - for every defect-defect relay, `ρ_u + ρ_v − 2β == dist` (brute-force Dijkstra); + - all-pairs `σ ≥ 0` (all pairs when there are ≤ 64 defects; for larger shots, all pairs among + the first 64); + - `d̂ ≤ dist`, with equality on table hits; + - `gap_ub ≥ gap_lb`. + +## Phase 5: bindings, CLI, benchmark (§5.5) + +- `python -m fastgap bench | build-index | landmark-report | serve`. The bench CSV has exactly + the columns of §5.5 plus a trailing `strategy_hash` column, so every row carries the hash (§7.1). +- Timing: + - compute-only per-stage timers in C++; + - 1000 warm-up shots; + - median, p99 and p99.9; + - per-shot latency at T = 1 and at every T in `--threads` (threads per shot; shots are decoded + one after another, so no throughput or core-seconds figures are reported); + - end-to-end latency (`--e2e`): a `python -m fastgap serve` subprocess reads bit-packed shots + from a pipe and writes answers back. The bench measures the round trip per shot, so this + number includes process-boundary I/O and the Python wrapper, as Craig Gidney asked for. + +## Results + +### Soundness (§9.3, §9.4, §9.5): 10⁵ shots per configuration + +Every configuration below passed all of these checks: +- `gap_lb ≤ gap_exact` in internal integer units on every shot; +- `gap_ub ≥ gap_exact` on every simple walk; +- predictions and weights bit-identical to `pymatching.Matching.decode_batch` on the original DEM; +- the in-decoder invariants on every shot for d ≤ 7, and on the first 2000 shots for d ≥ 9. + +The raw per-configuration stats are in `benchmarks/fastgap/results/soundness_1e5.jsonl`. Strategy +`auto` (= `faces_corners` here), K ≤ 16, default table radius. Times are the per-shot +compute-only stage timers on the M5 Pro. Shots were decoded one after another with T = 4 threads +per shot and `parallel_grain = 1`, so even tiny shots took the parallel path; that costs ~0.2 µs +on d = 3 shots, which the default grain avoids. The test also checks every shot bit-for-bit +against a single-threaded decoder. The gap time includes `gap_ub`. + +| basis | d | p | blossom shots | blossom passes | walk simple | gap_lb == exact | t_decode (median) | t_gap (median / p99) | t_exact (median) | +|---|---|---|---|---|---|---|---|---|---| +| X | 3 | 0.005 | 1.4% | 0.01% | 100.00% | 100.0% | 0.08 µs | 0.38 / 1.1 µs | 0.9 µs | +| Z | 3 | 0.005 | 0.9% | 0.02% | 100.00% | 100.0% | 0.08 µs | 0.33 / 1.1 µs | 0.9 µs | +| X | 5 | 0.005 | 9.7% | 0.22% | 99.81% | 99.6% | 0.88 µs | 1.17 / 2.6 µs | 8.8 µs | +| Z | 5 | 0.005 | 8.2% | 0.22% | 99.88% | 99.6% | 0.83 µs | 1.12 / 2.5 µs | 8.0 µs | +| X | 7 | 0.005 | 29.1% | 0.93% | 98.95% | 95.4% | 3.42 µs | 2.67 / 5.7 µs | 29.7 µs | +| Z | 7 | 0.005 | 26.4% | 0.88% | 99.19% | 95.1% | 3.38 µs | 2.50 / 5.3 µs | 27.9 µs | +| X | 3 | 0.01 | 3.6% | 0.07% | 99.98% | 99.9% | 0.17 µs | 0.50 / 1.4 µs | 1.2 µs | +| Z | 3 | 0.01 | 3.0% | 0.04% | 100.00% | 100.0% | 0.17 µs | 0.46 / 1.3 µs | 1.1 µs | +| X | 5 | 0.01 | 24.5% | 0.65% | 99.12% | 98.7% | 2.50 µs | 1.75 / 3.8 µs | 12.0 µs | +| Z | 5 | 0.01 | 23.3% | 0.77% | 99.38% | 98.9% | 2.42 µs | 1.67 / 3.6 µs | 11.3 µs | +| X | 7 | 0.01 | 66.3% | 3.01% | 95.77% | 94.0% | 10.08 µs | 4.58 / 9.6 µs | 39.2 µs | +| Z | 7 | 0.01 | 64.9% | 2.96% | 96.76% | 94.9% | 9.75 µs | 4.12 / 8.4 µs | 37.4 µs | +| X | 9 | 0.0005 | 0.7% | 0.02% | 99.99% | 88.9% | 0.46 µs | 1.00 / 5.0 µs | 33.6 µs | +| Z | 9 | 0.0005 | 0.7% | 0.01% | 100.00% | 91.3% | 0.46 µs | 0.96 / 4.8 µs | 30.3 µs | +| X | 13 | 0.0005 | 1.8% | 0.04% | 99.97% | 45.3% | 1.54 µs | 3.79 / 13.1 µs | 133.8 µs | +| Z | 13 | 0.0005 | 1.9% | 0.06% | 99.97% | 53.5% | 1.58 µs | 3.50 / 12.0 µs | 123.2 µs | +| X | 17 | 0.0005 | 3.7% | 0.08% | 99.92% | 17.8% | 3.71 µs | 7.88 / 22.7 µs | 397.0 µs | +| Z | 17 | 0.0005 | 3.9% | 0.10% | 99.94% | 25.5% | 3.71 µs | 7.29 / 19.5 µs | 362.8 µs | +| X | 9 | 0.001 | 2.7% | 0.07% | 99.95% | 78.5% | 1.00 µs | 1.75 / 6.0 µs | 42.0 µs | +| Z | 9 | 0.001 | 2.9% | 0.08% | 99.96% | 82.0% | 1.00 µs | 1.58 / 5.7 µs | 38.4 µs | +| X | 13 | 0.001 | 7.7% | 0.20% | 99.83% | 40.0% | 3.33 µs | 5.50 / 12.9 µs | 170.3 µs | +| Z | 13 | 0.001 | 8.0% | 0.20% | 99.87% | 46.0% | 3.33 µs | 5.12 / 11.6 µs | 156.2 µs | +| X | 17 | 0.001 | 15.7% | 0.39% | 99.65% | 24.4% | 8.00 µs | 11.96 / 22.0 µs | 556.8 µs | +| Z | 17 | 0.001 | 16.7% | 0.37% | 99.72% | 31.0% | 7.96 µs | 10.92 / 19.5 µs | 502.1 µs | + +Reading the table: +- Blossoms are common at d=7, p=1e-2 (65% of shots), but the bound almost never loses anything + to them. The `Δ − Δ_σ` part of the shortfall is ~0 on every DEM measured. +- All of the looseness at large d comes from the landmark bound on long hops (`Δ_σ − Δ_σ,H`). + +### Tightness vs index parameters (d=13, p=1e-3, rotated memory X, 5000 shots) + +| strategy | K | table radius | gap_lb == exact | mean shortfall | p90 shortfall | gap stage (median, before speed-ups) | table memory | +|---|---|---|---|---|---|---|---| +| boundary_only | 0 | 4w | 16.2% | 16.9 dB | 37.7 dB | 12.2 µs | 3.9 MB | +| faces_corners | 12 | 4w | 40.0% | 5.9 dB | 18.1 dB | 13.0 µs | 3.9 MB | +| fps | 16 | 4w | 43.3% | 5.4 dB | 16.5 dB | 12.6 µs | 3.9 MB | +| faces_corners + fps | 32 | 4w | 47.8% | 4.8 dB | 14.8 dB | 14.0 µs | 3.9 MB | +| faces_corners + fps | 64 | 4w | 60.7% | 3.4 dB | 12.5 dB | 17.2 µs | 3.9 MB | +| greedy_cover | 16 | 4w | 58.2% | 2.8 dB | 10.1 dB | 14.2 µs | 3.9 MB | +| faces_corners + fps | 16 | **8w** | **92.7%** | **0.55 dB** | **0.0 dB** | 18.0 µs | 16.3 MB | +| faces_corners + fps | 16 | 0 | 12.8% | 10.4 dB | 25.5 dB | 7.3 µs | 0 | + +(`w` = median edge weight. The landmark-report histogram puts the entire shortfall in the LB +part: `Δ_σ == Δ` on > 99.9% of shots.) + +Take-aways for future experiments: +1. **The table radius is the main tightness lever at large distance.** The default of 4 edge + weights (§7.4) is enough for d ≤ 7. For d ≥ 13, memory of about 16 MB at R = 8w buys exact + bounds on more than 90% of shots. +2. **Among landmark-only options, `greedy_cover` is the best use of a fixed K.** Plain FPS and + face/corner placements need about 4× more landmarks for the same tightness. +3. Post-selection decisions (`threshold`) are cheap regardless. Early termination stops at τ, and + `classify(τ)` is never wrong, which is tested against the exact gap. + +### Benchmarks (latency only) + +Every DEM in `benchmarks/fastgap/index_config.json` was benchmarked with 2×10⁴ shots, 1000 +warm-up shots, the `auto` strategy and the default table radius. Shots are sampled from the DEM +and decoded one after another. `T` is the number of threads that cooperate on each shot's gap +search, *including* the calling thread (thread 0 plus T − 1 prefetchers). T = 1 is the baseline +and T = 4 comes from the config. The raw per-shot CSVs (`t_decode_ns`, `t_gap_ns` for T = 1, +`t_gap_ns_t4`, `t_exact_ns`) and summaries are in `benchmarks/fastgap/results/`. + +**Gap computation: fastgap vs the exact PyMatching baseline.** The baseline is the method of +Gidney's cultivation and yoking code: two PyMatching decodes of the canonical DEM, with the +observable as an extra detector toggled off and on. The two decodes are timed separately. The +one in the class of M* yields W* and the prediction, just like an ordinary decode. The one in +the complementary class yields W^c, and is what the baseline pays for the gap. fastgap also runs +one ordinary decode, then computes the gap from its dual state (`t_gap`, including `gap_ub`). +The decode is common to both methods and is reported separately, so the speed-ups below are for +the gap computation only: + + speed-up = baseline complementary-class decode latency / fastgap gap-stage latency + +All values are compute-only per-shot stage timers (median / p99). + +| DEM | mean defects | baseline gap (complementary decode) | fastgap gap, T=1 | fastgap gap, T=4 | speed-up T=1 (med / p99) | speed-up T=4 (med / p99) | violations | +|---|---|---|---|---|---|---|---| +| rmx_d5_p5e-3 | 8.4 | 7.17 / 14.6 µs | 0.75 / 2.5 µs | 0.75 / 2.7 µs | 9.6× / 5.7× | 9.6× / 5.5× | 0 | +| rmx_d7_p5e-3 | 25.3 | 24.67 / 44.5 µs | 2.75 / 7.1 µs | 2.62 / 5.6 µs | 9.0× / 6.3× | 9.4× / 7.9× | 0 | +| rmx_d5_p1e-3 | 1.8 | 3.67 / 10.0 µs | 0.12 / 0.9 µs | 0.12 / 0.9 µs | 29.3× / 10.9× | 29.3× / 10.9× | 0 | +| rmx_d9_p1e-3 | 12.0 | 38.50 / 62.7 µs | 1.50 / 5.9 µs | 1.54 / 5.7 µs | 25.7× / 10.7× | 25.0× / 11.0× | 0 | +| rmx_d13_p1e-3 | 38.3 | 158.71 / 232.8 µs | 6.71 / 14.8 µs | 5.50 / 13.0 µs | 23.7× / 15.8× | 28.9× / 17.9× | 0 | +| rmx_d17_p1e-3 | 87.8 | 535.88 / 808.5 µs | 18.88 / 34.2 µs | 11.92 / 21.9 µs | 28.4× / 23.6× | 45.0× / 37.0× | 0 | + +The decode that both methods share (not part of the speed-ups): + +| DEM | mean defects | fastgap decode (PyMatching) | baseline decode in the class of M* | +|---|---|---|---| +| rmx_d5_p5e-3 | 8.4 | 0.83 / 5.2 µs | 0.92 / 4.9 µs | +| rmx_d7_p5e-3 | 25.3 | 3.29 / 13.3 µs | 3.46 / 12.5 µs | +| rmx_d5_p1e-3 | 1.8 | 0.12 / 1.2 µs | 0.12 / 1.3 µs | +| rmx_d9_p1e-3 | 12.0 | 1.00 / 3.9 µs | 1.08 / 4.2 µs | +| rmx_d13_p1e-3 | 38.3 | 3.33 / 7.9 µs | 3.62 / 8.8 µs | +| rmx_d17_p1e-3 | 87.8 | 7.83 / 14.1 µs | 8.71 / 16.0 µs | + +Other per-DEM numbers: + +| DEM | detectors | fastgap gap speed-up T=4 vs T=1 (median) | end-to-end med, T=1 / T=4 (µs) | gap_lb == exact | LB/dist on hops (median) | +|---|---|---|---|---|---| +| rmx_d5_p5e-3 | 120 | 1.00× | 15.2 / 13.7 | 99.6% | 1.000 | +| rmx_d7_p5e-3 | 336 | 1.05× | 21.3 / 19.1 | 95.5% | 1.000 | +| rmx_d5_p1e-3 | 120 | 1.00× | 13.6 / 13.5 | 100.0% | 1.000 | +| rmx_d9_p1e-3 | 720 | 0.97× | 16.0 / 14.0 | 78.8% | 0.996 | +| rmx_d13_p1e-3 | 2184 | 1.22× | 24.7 / 20.0 | 40.0% | 0.996 | +| rmx_d17_p1e-3 | 4896 | 1.58× | 44.2 / 31.0 | 24.3% | 1.000 | + +Notes: +- The baseline's decode in the class of M* runs on a graph with one extra node (the + observable detector), so it is slightly slower than fastgap's ordinary decode. +- End-to-end is the round trip of one shot through the `serve` pipe protocol, with `serve + --threads T`: syndrome in from another process, answer out. Roughly 10 µs of it is the fixed + cost of the pipe and the Python wrapper. +- No throughput figures: shot-level parallelism is gone, and every thread works on the shot in + hand. + +Reading the tables: +- fastgap's gap computation is 9–29× faster than the baseline's complementary decode at + T = 1, and up to 45× at T = 4 (d = 17). The complementary decode has to grow a region + across the whole spacetime volume, while the gap search touches only the defects. +- Four threads help only on large shots. At d = 17 the gap stage drops from 18.9 to 11.9 µs, and + the speed-up rises from 28× to 45×; at d = 13, from 24× to 29×. On shots with fewer than + `parallel_grain` = 16 defects a single thread does the search, and at d = 9 T = 4 is ~3% + slower. +- The single-threaded gap stage is faster than before this change (d = 17: 29.5 → 18.9 µs + median, including `gap_ub`), thanks to the target-indexed, branch-free relaxation. + +## Known gaps / not done + +- **The real cultivation escape-stage DEM has not been tested.** The DEM comes from Gidney's + `magic-state-cultivation` repository, which is not available in this environment. What is in + place: + - the `grafted` strategy, tested with virtual-node annotations supplied through `meta`; + - `GapIndex.from_gap_dem`, which builds fastgap's graph from exactly the edges PyMatching keeps + and asserts that edges, weights and `normalising_constant` match the reference graph; + - tests of `from_gap_dem` on synthetic gap DEMs that contain 3-detector errors PyMatching drops. + + Run `from_gap_dem` on the real `gap_dem` before using fastgap for cultivation, and check which + coordinate the virtual pair nodes carry. The `grafted` default assumes a 5th coordinate. +- **Yoked patches** are approximated by two independent patches whose logicals are XORed into one + observable. It passes canonicalisation and soundness, but it is not Gidney's actual yoked + circuit. +- **Bazel** is not installed here. The `BUILD` change is a one-line `copts` addition, and the + globs already exclude `*.test.cc`, `*.test.h` and `*.pybind.cc` from the library target. +- **CPU pinning** is implemented for Linux only. diff --git a/README.md b/README.md index 7c3a6353a..17612df41 100644 --- a/README.md +++ b/README.md @@ -1,309 +1,105 @@ -# PyMatching 2 - -![Continuous Integration](https://github.com/oscarhiggott/PyMatching/workflows/ci/badge.svg) -[![codecov](https://codecov.io/gh/oscarhiggott/PyMatching/branch/master/graph/badge.svg)](https://codecov.io/gh/oscarhiggott/PyMatching) -[![docs](https://readthedocs.org/projects/pymatching/badge/?version=latest&style=plastic)](https://readthedocs.org/projects/pymatching/builds/) -[![PyPI version](https://badge.fury.io/py/PyMatching.svg)](https://badge.fury.io/py/PyMatching) -[![Unitary Fund](https://img.shields.io/badge/Supported%20By-UNITARY%20FUND-brightgreen.svg?style=for-the-badge)](http://unitary.fund) - -PyMatching is a fast Python/C++ library for decoding quantum error correcting (QEC) codes using the Minimum Weight -Perfect Matching (MWPM) decoder. -Given the syndrome measurements from a quantum error correction circuit, the MWPM decoder finds the most probable set -of errors, given the assumption that error mechanisms are _independent_, as well as _graphlike_ (each error causes -either one or two detection events). -The MWPM decoder is the most popular decoder for decoding [surface codes](https://arxiv.org/abs/quant-ph/0110143), -and can also be used to decode various other code families, including -[subsystem codes](https://arxiv.org/abs/1207.1443), -[honeycomb codes](https://quantum-journal.org/papers/q-2021-10-19-564/) and -[2D hyperbolic codes](https://arxiv.org/abs/1506.04029). - -Version 2 includes a new implementation of the blossom algorithm which is **100-1000x faster** than previous versions -of PyMatching. -PyMatching can be configured using arbitrary weighted graphs, with or without a boundary, and can be combined with -Craig Gidney's [Stim](https://github.com/quantumlib/Stim) library to simulate and decode error correction circuits -in the presence of circuit-level noise. The [sinter](https://pypi.org/project/sinter/) package combines Stim and -PyMatching to perform fast, parallelised monte-carlo sampling of quantum error correction circuits. -As of a recent update (v2.3), pymatching also supports [correlated matching](https://arxiv.org/abs/1310.0863). - -Documentation for PyMatching can be found at: [pymatching.readthedocs.io](https://pymatching.readthedocs.io/en/stable/) - -Our [paper](https://arxiv.org/abs/2303.15933) gives more background on the MWPM decoder and our implementation (sparse blossom) released in PyMatching v2. - -To see how stim, sinter and pymatching can be used to estimate the threshold of an error correcting code with -circuit-level noise, try out the [stim getting started notebook](https://github.com/quantumlib/Stim/blob/main/doc/getting_started.ipynb). - -## The new >100x faster implementation for Version 2 - -Version 2 features a new implementation of the blossom algorithm, which I wrote with Craig Gidney. -Our new implementation, which we refer to as the _sparse blossom_ algorithm, can be seen as a generalisation of the -blossom algorithm to handle the decoding problem relevant to QEC. -We solve the problem of finding minimum-weight paths between detection events in a detector graph -_directly_, which avoids the need to use costly all-to-all Dijkstra searches to find a MWPM in a derived -graph using the original blossom algorithm. -The new version is also exact - unlike previous versions of PyMatching, no approximation is made. -See our [paper](https://arxiv.org/abs/2303.15933) for more details. - -Our new implementation is **over 100x faster** than previous versions of PyMatching, and is -**over 100,000x faster** than NetworkX (benchmarked with surface code circuits). At 0.1% circuit-noise, PyMatching can -decode both X and Z basis measurements of surface code circuits up to distance 17 in under 1 microsecond per round -of syndrome extraction on a single core. Furthermore, the runtime is roughly linear in the number -of nodes in the graph. - -The plot below compares the performance of PyMatching v2 with the previous -version (v0.7) as well as with NetworkX for decoding surface code circuits with circuit-level depolarising noise. -All decoders were run on a single core of an M1 processor, processing both the X and Z basis measurements. -The equations T=N^x in the legend (and plotted as dashed lines) are -obtained from a fit to the same dataset for -distance > 10, where N is the number of detectors (nodes) per round, and T is the decoding time per round. -See the [benchmarks](https://github.com/oscarhiggott/PyMatching/raw/master/benchmarks) folder in the repository -for the data and stim circuits, as well as additional benchmarks. - - -![PyMatching new vs old vs NetworkX](https://github.com/oscarhiggott/PyMatching/raw/master/benchmarks/surface_codes/surface_code_rotated_memory_x_p_0.001_d_5_7_9_13_17_23_29_39_50_both_bases/pymatching_v0.7_vs_pymatching_v2_vs_networkx_timing_p=0.001_per_round_both_bases_decoded.png) - - -Sparse blossom is conceptually similar to the approach described in [this paper](https://arxiv.org/abs/1307.1740) -by Austin Fowler, although our approach differs in many of the details (as explained in our [paper](https://arxiv.org/abs/2303.15933)). -There are even more similarities with the very nice independent work by Yue Wu, who recently released the -[fusion-blossom](https://pypi.org/project/fusion-blossom/) library. -One of the differences with our approach is that fusion-blossom grows the exploratory regions of alternating trees -in a similar way to how clusters are grown in Union-Find, whereas our approach instead progresses along a timeline, -and uses a global priority queue to grow alternating trees. -Yue also has a paper coming soon, so stay tuned for that as well. - -## Correlated matching - -As of PyMatching version 2.3, [correlated matching](https://arxiv.org/abs/1310.0863) is now also available in pymatching! Thank you to Sid Madhuk, who was the primary contributor for this new feature. - -Correlated matching has better accuracy than standard (uncorrelated) matching for many decoding problems where hyperedge errors are present. When these hyperedge errors are decomposed into edges (graphlike errors), they amount to correlations between these edges in the matching graph. A common example of such a hyperedge error is a $Y$ error in the surface code. - -The "two-pass" correlated matching decoder implemented in pymatching works by running sparse blossom twice. The first pass is a standard (uncorrelated) run of sparse blossom, to predict a set of edges in the matching graph. Correlated matching then assumes these errors (edges) occurred and reweights edges that are correlated with it based on this assumption. Matching is then run for the second time on this reweighted graph. - -## Installation - -The latest version of PyMatching can be downloaded and installed from [PyPI](https://pypi.org/project/PyMatching/) -with the command: - -``` -pip install pymatching --upgrade -``` - - -## Usage - -PyMatching can load matching graphs from a check matrix, a `stim.DetectorErrorModel`, a `networkx.Graph`, a -`rustworkx.PyGraph` or by adding edges individually with `pymatching.Matching.add_edge` and -`pymatching.Matching.add_boundary_edge`. - -### Decoding Stim circuits - -PyMatching can be combined with [Stim](https://github.com/quantumlib/Stim). Generally, the easiest and fastest way to -do this is using [sinter](https://pypi.org/project/stim/) (use v1.10.0 or later), which uses PyMatching and Stim to run -parallelised monte carlo simulations of quantum error correction circuits. -However, in this section we will use Stim and PyMatching directly, to demonstrate how their Python APIs can be used. -To install stim, run `pip install stim --upgrade`. - -First, we generate a stim circuit. Here, we use a surface code circuit included with stim: - -```python -import numpy as np -import stim -import pymatching -circuit = stim.Circuit.generated( - "surface_code:rotated_memory_x", - distance=5, - rounds=5, - after_clifford_depolarization=0.005 -) -``` - -Next, we use stim to generate a `stim.DetectorErrorModel` (DEM), which is effectively a -[Tanner graph](https://en.wikipedia.org/wiki/Tanner_graph) describing the circuit-level noise model. -By setting `decompose_errors=True`, stim decomposes all error mechanisms into _edge-like_ error -mechanisms (which cause either one or two detection events). -This ensures that our DEM is graphlike, and can be loaded by pymatching: - -```python -model = circuit.detector_error_model(decompose_errors=True) -matching = pymatching.Matching.from_detector_error_model(model) -``` - -Next, we will sample 1000 shots from the circuit. Each shot (a row of `shots`) contains the full syndrome (detector -measurements), as well as the logical observable measurements, from simulating the noisy circuit: - -```python -sampler = circuit.compile_detector_sampler() -syndrome, actual_observables = sampler.sample(shots=1000, separate_observables=True) -``` - -Now we can decode! We compare PyMatching's predictions of the logical observables with the actual observables sampled with stim, in order to count the number of mistakes and estimate the logical error rate: +# fastgap + +This fork adds **fastgap**, a Python package shipped in the same distribution as `pymatching`. +It decodes each shot with the ordinary sparse-blossom decode and returns a +**certified lower bound on the complementary gap** `Δ = W^c − W*` (the weight difference between +the best matching in the other logical class and the minimum-weight matching). The bound comes +from the decoder's own final dual state. fastgap never runs a second decode and never sweeps the +empty spacetime volume. + +Why: the complementary gap is the standard per-shot confidence signal for post-selection in magic-state cultivation +and decoder confidence in yoked surface code and other code concatenation schemes. +The usual way to compute it is to decode a second time, forced into the other logical class. +That second decode costs as much as the first, or more, and grows with the spacetime volume. +fastgap replaces it with a small search over the defects alone. +The search is sound by construction: `gap_lb ≤ Δ` on every shot, checked against the exact +two-decode baseline on 10⁵ shots per test configuration. Predictions and +`W*` stay bit-identical to upstream PyMatching. ```python -predicted_observables = matching.decode_batch(syndrome) -num_errors = np.sum(np.any(predicted_observables != actual_observables, axis=1)) +import stim, fastgap -print(num_errors) # prints 8 -``` +circuit = stim.Circuit.generated("surface_code:rotated_memory_x", distance=7, rounds=7, + after_clifford_depolarization=1e-3) +dem = circuit.detector_error_model(decompose_errors=True) -To decode instead with correlated matching, set `enable_correlations=True` both when configuiing the `pymatching.Matching` object: -```python -matching_corr = pymatching.Matching.from_detector_error_model(model, enable_correlations=True) -``` +idx = fastgap.GapIndex.from_dem(dem, observable=0, strategy="auto", num_landmarks=16) +idx.save("rmx_d7.idx") # cache the index per DEM +dec = fastgap.GapDecoder(idx, num_threads=4) # 4 threads share each shot's gap search -as well as when decoding: -```python -predicted_observables_corr = matching_corr.decode_batch(syndrome, enable_correlations=True) -num_errors = np.sum(np.any(predicted_observables_corr != actual_observables, axis=1)) +shots = circuit.compile_detector_sampler().sample(10_000, bit_packed=True) +res = dec.decode_batch(shots, threshold=None, upper_bound=True) +res.prediction # identical to pymatching.Matching.decode_batch +res.weight # W*, identical to upstream +res.gap_lb # certified lower bound on the gap (nats); res.gap_lb_db in dB +res.gap_ub # upper bound when the returned walk is simple, else inf -print(num_errors) # prints 3 +prediction, w_star, gap = fastgap.exact_gap_batch(idx, shots) # exact two-decode baseline +assert (res.gap_lb_int <= fastgap.exact_gap_batch(idx, shots).gap_int).all() ``` -### Loading from a parity check matrix - -We can also load a `pymatching.Matching` object from a binary -[parity check matrix](https://en.wikipedia.org/wiki/Parity-check_matrix), another representation of a Tanner graph. -Each row in the parity check matrix `H` corresponds to a parity check, and each column corresponds to an -error mechanism. -The element `H[i,j]` of `H` is 1 if parity check `i` is flipped by error mechanism `j`, and 0 otherwise. -To be used by PyMatching, the error mechanisms in `H` must be _graphlike_. -This means that each column must contain either one or two 1s (if a column has a single 1, it represents a half-edge -connected to the boundary). +For post-selection at threshold `τ`, pass `threshold=τ`: the search stops as soon as the bound +reaches `τ` (`censored=True`), and `res.classify(τ)` sorts shots into keep, discard and uncertain. -We can give each edge in the graph a weight, by providing PyMatching with a `weights` numpy array. -Element `weights[j]` of the `weights` array sets the edge weight for the edge corresponding to column `j` of `H`. -If the error mechanisms are treated as independent, then we typically want to set the weight of edge `j` to -the log-likelihood ratio `log((1-p_j)/p_j)`, where `p_j` is the error probability associated with edge `j`. -With this setting, PyMatching will find the most probable set of error mechanisms, given the syndrome. +How it works: -With PyMatching configured using `H` and `weights`, decoding a binary syndrome vector `syndrome` (a numpy array -of length `H.shape[0]`) corresponds to finding a set of errors defined in a binary `predictions` vector -satisfying `H@predictions % 2 == syndrome` while minimising the total solution weight `predictions@weights`. +1. Observable `k` is gauge-fixed onto the boundary, which splits the boundary into sides `L` and `R`. +2. The radii `y_v`, `y_S` are read before shattering the blossoms. +3. A dense Dijkstra runs over alternating "hop-relay-hop-relay" walks from `L` to `R`, + priced by reduced costs `σ(u,v) = dist(u,v) − ρ_u − ρ_v + 2β(u,v)`. + Each hop distance is a lower bound taken from landmark potentials. +4. `num_threads = T` threads cooperate on *each* shot to lower its latency; shots are decoded one + after another. The calling thread runs the Dijkstra, and the other `T − 1` threads price, in + advance, the rows of the states it is about to settle. Results are bit-identical for every + `T`. Use at most the size of the fastest core cluster (e.g. 4–5 on an Apple M5 Pro). -In quantum error correction, rather than predicting which exact set of error mechanisms occurred, we typically want to -predict the outcome of _logical observable_ measurements, which are the parities of error mechanisms. -These can be represented by a binary matrix `observables`. Similar to the check matrix, `observables[i,j]` is 1 if -logical observable `i` is flipped by error mechanism `j`. -For example, suppose our syndrome `syndrome`, was the result of a set of errors `noise` (a binary array of -length `H.shape[1]`), such that `syndrome = H@noise % 2`. -Our decoding is successful if `observables@noise % 2 == observables@predictions % 2`. +### Gap-computation latency -Putting this together, we can decode a distance 5 repetition code as follows: - -```python -import numpy as np -from scipy.sparse import csc_matrix -import pymatching -H = csc_matrix([[1, 1, 0, 0, 0], - [0, 1, 1, 0, 0], - [0, 0, 1, 1, 0], - [0, 0, 0, 1, 1]]) -weights = np.array([4, 3, 2, 3, 4]) # Set arbitrary weights for illustration -matching = pymatching.Matching(H, weights=weights) -prediction = matching.decode(np.array([0, 1, 0, 1])) -print(prediction) # prints: [0 0 1 1 0] -# Optionally, we can return the weight as well: -prediction, solution_weight = matching.decode(np.array([0, 1, 0, 1]), return_weight=True) -print(prediction) # prints: [0 0 1 1 0] -print(solution_weight) # prints: 5.0 -``` +The baseline runs two PyMatching decodes with the observable as an extra detector, toggled off and +on. Both methods run one ordinary decode, which gives the prediction (min weight matching). +The baseline then pays a second, complementary-class decode for the gap, while fastgap pays its gap search, +(without `gap_ub`). The table compares only those two costs: +speed-up = baseline complementary decode / fastgap gap stage. -And in order to estimate the logical error rate for a physical error rate of 10%, we can sample -as follows: +Setup: rotated surface-code memory X, `d` rounds, uniform circuit noise `p`, 2×10⁴ shots per DEM, +compute-only per-shot timers (median / p99), Apple M5 Pro. There were 0 soundness violations. -```python -import numpy as np -from scipy.sparse import csc_matrix -import pymatching -H = csc_matrix([[1, 1, 0, 0, 0], - [0, 1, 1, 0, 0], - [0, 0, 1, 1, 0], - [0, 0, 0, 1, 1]]) -observables = csc_matrix([[1, 0, 0, 0, 0]]) -error_probability = 0.1 -weights = np.ones(H.shape[1]) * np.log((1-error_probability)/error_probability) -matching = pymatching.Matching.from_check_matrix(H, weights=weights) -num_shots = 1000 -num_errors = 0 -for i in range(num_shots): - noise = (np.random.random(H.shape[1]) < error_probability).astype(np.uint8) - syndrome = H@noise % 2 - prediction = matching.decode(syndrome) - predicted_observables = observables@prediction % 2 - actual_observables = observables@noise % 2 - num_errors += not np.array_equal(predicted_observables, actual_observables) -print(num_errors) # prints 4 -``` +| DEM | mean defects | baseline gap (complementary decode) | fastgap gap, T=1 | fastgap gap, T=4 | speed-up T=1 (med / p99) | speed-up T=4 (med / p99) | +|---|---|---|---|---|---|---| +| d=5, p=5e-3 | 8.4 | 6.92 / 14.0 µs | 0.62 / 1.7 µs | 0.62 / 2.3 µs | 11.1× / 8.2× | 11.1× / 6.0× | +| d=7, p=5e-3 | 25.3 | 23.92 / 42.9 µs | 1.67 / 4.0 µs | 2.42 / 4.9 µs | 14.3× / 10.7× | 9.9× / 8.8× | +| d=5, p=1e-3 | 1.8 | 3.50 / 9.5 µs | 0.12 / 0.8 µs | 0.12 / 0.7 µs | 28.0× / 12.6× | 28.0× / 13.3× | +| d=9, p=1e-3 | 12.0 | 37.62 / 60.7 µs | 0.83 / 2.2 µs | 0.92 / 3.0 µs | 45.1× / 27.0× | 41.1× / 20.0× | +| d=13, p=1e-3 | 38.3 | 154.46 / 226.9 µs | 3.04 / 6.7 µs | 3.62 / 6.8 µs | 50.8× / 33.8× | 42.6× / 33.6× | +| d=15, p=1e-3 | 59.6 | 286.17 / 421.0 µs | 5.58 / 11.5 µs | 5.46 / 10.2 µs | 51.3× / 36.5× | 52.4× / 41.2× | +| d=17, p=1e-3 | 87.8 | 518.92 / 787.9 µs | 10.12 / 19.6 µs | 8.54 / 15.5 µs | 51.3× / 40.1× | 60.7× / 51.0× | -Note that we can also ask PyMatching to predict the logical observables directly, by supplying them -to the `faults_matrix` argument when constructing the `pymatching.Matching` object. This allows the decoder to make -some additional optimisations, that speed up the decoding procedure a bit. The following example uses this approach, -and is equivalent to the example above: +The shared ordinary decode costs about the same in both methods (e.g. 7.8 µs for fastgap vs +8.4 µs for the baseline at d=17), so it is left out. Raw per-shot CSVs and summaries are in +`benchmarks/fastgap/results/`; more detail is in `NOTES.md`. -```python -import numpy as np -from scipy.sparse import csc_matrix -import pymatching +Landmark placement is pluggable (`fastgap.landmarks`). It changes only how tight the bound is, +never whether it is valid. -H = csc_matrix([[1, 1, 0, 0, 0], - [0, 1, 1, 0, 0], - [0, 0, 1, 1, 0], - [0, 0, 0, 1, 1]]) -observables = csc_matrix([[1, 0, 0, 0, 0]]) -error_probability = 0.1 -weights = np.ones(H.shape[1]) * np.log((1-error_probability)/error_probability) -matching = pymatching.Matching.from_check_matrix(H, weights=weights, faults_matrix=observables) -num_shots = 1000 -num_errors = 0 -for i in range(num_shots): - noise = (np.random.random(H.shape[1]) < error_probability).astype(np.uint8) - syndrome = H@noise % 2 - predicted_observables = matching.decode(syndrome) - actual_observables = observables@noise % 2 - num_errors += not np.array_equal(predicted_observables, actual_observables) +Command line: -print(num_errors) # prints 6 ``` - -We'll make one more optimisation, which is to use `matching.decode_batch` to decode the batch of shots, rather than -iterating over calls to `matching.decode` in Python: - -```python -import numpy as np -from scipy.sparse import csc_matrix -import pymatching - -H = csc_matrix([[1, 1, 0, 0, 0], - [0, 1, 1, 0, 0], - [0, 0, 1, 1, 0], - [0, 0, 0, 1, 1]]) -observables = csc_matrix([[1, 0, 0, 0, 0]]) -error_probability = 0.1 -num_shots = 1000 -weights = np.ones(H.shape[1]) * np.log((1-error_probability)/error_probability) -matching = pymatching.Matching.from_check_matrix(H, weights=weights, faults_matrix=observables) -noise = (np.random.random((num_shots, H.shape[1])) < error_probability).astype(np.uint8) -shots = (noise @ H.T) % 2 -actual_observables = (noise @ observables.T) % 2 -predicted_observables = matching.decode_batch(shots) -num_errors = np.sum(np.any(predicted_observables != actual_observables, axis=1)) -print(num_errors) # prints 6 - +python -m fastgap build-index --dem X.dem --strategy auto --out X.idx +python -m fastgap bench --dem X.dem --idx X.idx --shots 100000 --threads 4 --out X.csv --e2e +python -m fastgap landmark-report --dem X.dem --idx X.idx --shots 10000 ``` - - -Instead of using a check matrix, the Matching object can also be constructed using -the [`Matching.add_edge`](https://pymatching.readthedocs.io/en/stable/api.html#pymatching.matching.Matching.add_edge) -and -[`Matching.add_boundary_edge`](https://pymatching.readthedocs.io/en/stable/api.html#pymatching.matching.Matching.add_boundary_edge) -methods, or by loading from a NetworkX or rustworkx graph. - -For more details on how to use PyMatching, -see [the documentation](https://pymatching.readthedocs.io). +Supported in v1: graphlike DEMs with boundaries, non-negative weights, and one observable per +index. Not supported: correlated matching, and codes with a logical that never touches a +boundary (toric codes raise `fastgap.BoundarylessLogicalError`). The design document is +`CLAUDE.md`. Implementation notes and measured results are in `NOTES.md`, and benchmarks are in +`benchmarks/fastgap/`. ## Attribution -When using PyMatching please cite our [paper](https://arxiv.org/abs/2303.15933) on the sparse blossom algorithm (implemented in version 2): +Cooked with Claude Opus 5.5. Paper for `fastgap` is coming soon. + +Please also cite the following as our method is based on it. ``` @article{Higgott2025sparseblossom, @@ -320,11 +116,3 @@ When using PyMatching please cite our [paper](https://arxiv.org/abs/2303.15933) year = {2025} } ``` - -Note: the previous PyMatching [paper](https://arxiv.org/abs/2105.13082) descibes the implementation in version 0.7 and -earlier of PyMatching (not v2). - -## Acknowledgements - -We are grateful to the Google Quantum AI team for supporting the development of PyMatching v2. Earlier versions of -PyMatching were supported by Unitary Fund and EPSRC. diff --git a/benchmarks/fastgap/README.md b/benchmarks/fastgap/README.md new file mode 100644 index 000000000..7d622f9cf --- /dev/null +++ b/benchmarks/fastgap/README.md @@ -0,0 +1,24 @@ +# fastgap benchmarks + +Everything here can be regenerated from the repository root, with the package installed: + +``` +PYTHON=python benchmarks/fastgap/run_bench.sh +``` + +| File | What | +|---|---| +| `index_config.json` | DEM list (rotated surface-code memory, uniform circuit noise `p`, `d` rounds unless `rounds` is set), index parameters (strategy, K, table radius) and bench parameters (shots, warm-up, threads per shot, seed) | +| `gen_dems.py` | writes `dems/.dem` from the config (git-ignored; deterministic) | +| `run_bench.sh` | for every DEM: `build-index`, `bench` and `landmark-report` | +| `results/.csv` | raw per-shot rows: `shot, num_defects, w_star, gap_exact, gap_lb, gap_ub, t_decode_ns, t_gap_ns, t_exact_ns, walk_simple, all_hops_exact, censored, strategy_hash`, then `t_gap_ns_t` for each thread count `T` in `bench.threads` (`t_gap_ns` is T = 1), then the exact baseline's two decodes timed separately: `t_exact_mstar_ns` (the decode in the class of M*) and `t_exact_comp_ns` (the complementary-class decode, i.e. the baseline's cost of the gap) | +| `results/.summary.json` | per-shot latency percentiles only: compute-only (`latency_ns_by_threads`: decode, gap and total stages, at T = 1 and at each `T` in `bench.threads`) and end-to-end (`end_to_end_ns_by_threads`), the exact baseline's latency (`exact_ns`), its two decodes separately (`exact_mstar_decode_ns`, `exact_comp_decode_ns`), the gap-computation speed-up (`gap_speedup_vs_exact_by_threads`: baseline complementary-decode latency / fastgap gap-stage latency, at the median, p99 and p99.9), plus the soundness count | +| `results/.index.json` | index build report: landmarks, memory, hash | +| `results/.landmarks.json` | tightness report (CLAUDE.md §7.5) | +| `results/soundness_1e5.jsonl` | stats logged by the 10^5-shot §9.3/§9.4 test run (`FASTGAP_TEST_LOG=...`) | + +`T` is the number of threads that cooperate on *one* shot's gap search (intra-shot parallelism). +Shots are always decoded one after another, so there are no throughput numbers. + +Gaps and weights in the CSV are in nats. The exact gap comes from the two-decode baseline on the +same canonical graph. diff --git a/benchmarks/fastgap/gen_dems.py b/benchmarks/fastgap/gen_dems.py new file mode 100644 index 000000000..853cf09c4 --- /dev/null +++ b/benchmarks/fastgap/gen_dems.py @@ -0,0 +1,36 @@ +"""Writes the benchmark DEMs (rotated surface-code memory, uniform circuit noise) to dems/. + +Usage: python benchmarks/fastgap/gen_dems.py +""" + +import json +import pathlib + +import stim + +HERE = pathlib.Path(__file__).parent +CONFIG = json.loads((HERE / "index_config.json").read_text()) + + +def main(): + out = HERE / "dems" + out.mkdir(exist_ok=True) + for cfg in CONFIG["dems"]: + p = cfg["p"] + circuit = stim.Circuit.generated( + cfg["task"], + distance=cfg["d"], + rounds=cfg.get("rounds", cfg["d"]), + after_clifford_depolarization=p, + before_round_data_depolarization=p, + before_measure_flip_probability=p, + after_reset_flip_probability=p, + ) + dem = circuit.detector_error_model(decompose_errors=True) + path = out / f"{cfg['name']}.dem" + dem.to_file(path) + print(path, dem.num_detectors, "detectors") + + +if __name__ == "__main__": + main() diff --git a/benchmarks/fastgap/index_config.json b/benchmarks/fastgap/index_config.json new file mode 100644 index 000000000..a5f791be1 --- /dev/null +++ b/benchmarks/fastgap/index_config.json @@ -0,0 +1,13 @@ +{ + "index": {"strategy": "auto", "num_landmarks": 16, "observable": 0}, + "bench": {"shots": 20000, "warmup": 1000, "threads": [4], "seed": 2026, "e2e_shots": 2000}, + "dems": [ + {"name": "rmx_d5_p5e-3", "task": "surface_code:rotated_memory_x", "d": 5, "p": 0.005}, + {"name": "rmx_d7_p5e-3", "task": "surface_code:rotated_memory_x", "d": 7, "p": 0.005}, + {"name": "rmx_d5_p1e-3", "task": "surface_code:rotated_memory_x", "d": 5, "p": 0.001}, + {"name": "rmx_d9_p1e-3", "task": "surface_code:rotated_memory_x", "d": 9, "p": 0.001}, + {"name": "rmx_d13_p1e-3", "task": "surface_code:rotated_memory_x", "d": 13, "p": 0.001}, + {"name": "rmx_d15_p1e-3", "task": "surface_code:rotated_memory_x", "d": 15, "p": 0.001}, + {"name": "rmx_d17_p1e-3", "task": "surface_code:rotated_memory_x", "d": 17, "p": 0.001} + ] +} diff --git a/benchmarks/fastgap/results/rmx_d13_p1e-3.csv b/benchmarks/fastgap/results/rmx_d13_p1e-3.csv new file mode 100644 index 000000000..7a65e3911 --- /dev/null +++ b/benchmarks/fastgap/results/rmx_d13_p1e-3.csv @@ -0,0 +1,20001 @@ +shot,num_defects,w_star,gap_exact,gap_lb,gap_ub,t_decode_ns,t_gap_ns,t_exact_ns,walk_simple,all_hops_exact,censored,strategy_hash,t_gap_ns_t4,t_exact_mstar_ns,t_exact_comp_ns +0,25,81.83756690038364,58.81358540314097,55.49707085351203,inf,2333,2292,134791,1,0,0,0cf4420c3f9f8a00,2833,2209,132500 +1,47,147.75481530494642,48.32603675126072,45.13399511226551,inf,4042,3500,153625,1,0,0,0cf4420c3f9f8a00,3834,3875,149708 +2,46,146.96569310219917,42.47940766125578,41.05890235186606,inf,5292,3958,202500,1,0,0,0cf4420c3f9f8a00,4458,4625,197750 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b/benchmarks/fastgap/results/rmx_d9_p1e-3.landmarks.json new file mode 100644 index 000000000..652ebddb2 --- /dev/null +++ b/benchmarks/fastgap/results/rmx_d9_p1e-3.landmarks.json @@ -0,0 +1,76 @@ +{ + "dem_detectors": 720, + "strategy": "faces_corners", + "strategy_hash": "efead4cd1a5d443f", + "landmarks": [ + "face:t=min", + "face:t=max", + "face:x1=min", + "face:x1=max", + "corner:---", + "corner:--+", + "corner:-+-", + "corner:-++", + "corner:+--", + "corner:+-+", + "corner:++-", + "corner:+++" + ], + "memory": { + "num_detectors": 720, + "num_landmarks": 12, + "potential_bytes": 120960, + "potential_bytes_per_detector": 168.0 + }, + "num_shots": 20000, + "lb_over_dist_on_hops": { + "count": 1707, + "mean": 0.9329817531241568, + "fraction_exact": 0.4030462800234329, + "quantiles": { + "0.01": 0.6532845143973595, + "0.1": 0.7734506638830709, + "0.5": 0.9913132737791028, + "0.9": 1.0 + } + }, + "fraction_gap_lb_equals_delta_sigma": 0.5491, + "fraction_gap_lb_equals_gap_exact": 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"gap_lb_equals_exact_fraction": 0.5487, + "mean_gap_shortfall_db": 4.01401320523397, + "end_to_end_ns_by_threads": { + "1": { + "median": 15750.0, + "p99": 22333.01, + "p99.9": 32838.04200000103, + "mean": 45821.9655, + "max": 59686084.0 + }, + "4": { + "median": 13250.0, + "p99": 20625.41, + "p99.9": 35433.79100000342, + "mean": 43328.572, + "max": 59157666.0 + } + } +} diff --git a/benchmarks/fastgap/results/soundness_1e5.jsonl b/benchmarks/fastgap/results/soundness_1e5.jsonl new file mode 100644 index 000000000..8eb3e8e3c --- /dev/null +++ b/benchmarks/fastgap/results/soundness_1e5.jsonl @@ -0,0 +1,24 @@ +{"task": "rotated_memory_x", "d": 3, "p": 0.005, "shots": 100000, "blossom_shot_fraction": 0.01372, "blossom_pass_fraction": 0.00012, "walk_simple_fraction": 0.99997, "gap_lb_equals_exact": 0.99985, "median_t_decode_ns": 83.0, "median_t_gap_ns": 375.0, "p99_t_gap_ns": 1083.0, "median_t_exact_ns": 875.0, "strategy_hash": "6942a7534f59d9e2"} +{"task": "rotated_memory_z", "d": 3, "p": 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--git a/benchmarks/fastgap/run_bench.sh b/benchmarks/fastgap/run_bench.sh new file mode 100755 index 000000000..9a45cdf16 --- /dev/null +++ b/benchmarks/fastgap/run_bench.sh @@ -0,0 +1,25 @@ +#!/usr/bin/env bash +# Regenerates every benchmark in this directory: DEMs, indices, per-shot CSVs, summaries and +# landmark tightness reports. Run from the repository root with the fastgap package installed. +set -euo pipefail +HERE="$(cd "$(dirname "$0")" && pwd)" +PY="${PYTHON:-python}" +CFG="$HERE/index_config.json" +cfg() { "$PY" -c "import json,sys; c=json.load(open('$CFG')); print(eval(sys.argv[1]))" "$1"; } + +"$PY" "$HERE/gen_dems.py" +mkdir -p "$HERE/indices" "$HERE/results" +for name in $(cfg "' '.join(d['name'] for d in c['dems'])"); do + dem="$HERE/dems/$name.dem" + idx="$HERE/indices/$name.idx" + "$PY" -m fastgap build-index --dem "$dem" --strategy "$(cfg "c['index']['strategy']")" \ + --num-landmarks "$(cfg "c['index']['num_landmarks']")" --out "$idx" > "$HERE/results/$name.index.json" + "$PY" -m fastgap bench --dem "$dem" --idx "$idx" \ + --shots "$(cfg "c['bench']['shots']")" --warmup "$(cfg "c['bench']['warmup']")" \ + --threads $(cfg "' '.join(map(str, c['bench']['threads']))") --seed "$(cfg "c['bench']['seed']")" --no-upper-bound \ + --e2e --e2e-shots "$(cfg "c['bench']['e2e_shots']")" \ + --out "$HERE/results/$name.csv" --summary "$HERE/results/$name.summary.json" > /dev/null + "$PY" -m fastgap landmark-report --dem "$dem" --idx "$idx" --shots "$(cfg "c['bench']['shots']")" \ + --seed "$(cfg "c['bench']['seed']")" --out "$HERE/results/$name.landmarks.json" > /dev/null + echo "done $name" +done diff --git a/setup.py b/setup.py index da3f1cd03..c1aed18c5 100644 --- a/setup.py +++ b/setup.py @@ -27,7 +27,16 @@ def __init__(self, name, sourcedir=""): class CMakeBuild(build_ext): def build_extension(self, ext): + # Both extensions (pymatching._cpp_pymatching and fastgap._cpp_fastgap) come from one CMake + # tree; the first call builds both targets and later calls are no-ops. + if getattr(self, "_cmake_built", False): + return + self._cmake_built = True extdir = os.path.abspath(os.path.dirname(self.get_ext_fullpath(ext.name))) + ext_dirs = { + e.name.split(".")[-1]: os.path.abspath(os.path.dirname(self.get_ext_fullpath(e.name))) + for e in self.extensions + } # required for auto-detection & inclusion of auxiliary "native" libs if not extdir.endswith(os.path.sep): @@ -48,6 +57,10 @@ def build_extension(self, ext): f"-DPYTHON_EXECUTABLE={sys.executable}", f"-DCMAKE_BUILD_TYPE={cfg}", # not used on MSVC, but no harm ] + if "_cpp_pymatching" in ext_dirs: + cmake_args.append(f"-DPYMATCHING_PY_OUTPUT_DIR={ext_dirs['_cpp_pymatching']}") + if "_cpp_fastgap" in ext_dirs: + cmake_args.append(f"-DFASTGAP_PY_OUTPUT_DIR={ext_dirs['_cpp_fastgap']}") build_args = [] # Adding CMake arguments set as environment variable # (needed e.g. to build for ARM OSx on conda-forge) @@ -121,11 +134,14 @@ def build_extension(self, ext): # CMake 3.12+ only. build_args += [f"-j{self.parallel}"] - build_temp = os.path.join(self.build_temp, ext.name) + build_temp = os.path.join(self.build_temp, "cmake") if not os.path.exists(build_temp): os.makedirs(build_temp) subprocess.check_call(["cmake", ext.sourcedir] + cmake_args, cwd=build_temp) - subprocess.check_call(["cmake", "--build", ".", "--target", "_cpp_pymatching"] + build_args, cwd=build_temp) + targets = [] + for target in ext_dirs: + targets += ["--target", target] + subprocess.check_call(["cmake", "--build", "."] + targets + build_args, cwd=build_temp) version = {} @@ -144,14 +160,17 @@ def build_extension(self, ext): long_description=long_description, long_description_content_type='text/markdown', license="Apache 2", - ext_modules=[CMakeExtension("pymatching._cpp_pymatching")], + ext_modules=[CMakeExtension("pymatching._cpp_pymatching"), CMakeExtension("fastgap._cpp_fastgap")], packages=find_packages("src"), package_dir={'': 'src'}, cmdclass={"build_ext": CMakeBuild}, zip_safe=False, - extras_require={"test": ["pytest>=6.0"]}, + extras_require={"test": ["pytest>=6.0"], "fastgap": ["stim"]}, entry_points={ - 'console_scripts': ['pymatching=pymatching._cli_argv:cli_argv'], + 'console_scripts': [ + 'pymatching=pymatching._cli_argv:cli_argv', + 'fastgap=fastgap.cli:main', + ], }, python_requires=">=3.8", install_requires=['scipy', 'numpy', 'networkx', 'matplotlib'], diff --git a/src/fastgap/__init__.py b/src/fastgap/__init__.py new file mode 100644 index 000000000..ed95a6b6f --- /dev/null +++ b/src/fastgap/__init__.py @@ -0,0 +1,45 @@ +"""fastgap: PyMatching decodes with a certified lower bound on the complementary gap. + +fastgap runs the ordinary, untruncated PyMatching (sparse blossom) decode and then computes a +lower bound on the complementary gap ``W^c - W*`` from the decoder's own final dual state, with a +dense Dijkstra over reduced costs priced by landmark potentials. It never +runs a second decode and never sweeps the empty spacetime volume. + +Example:: + + import stim, fastgap + circuit = stim.Circuit.generated("surface_code:rotated_memory_x", distance=5, rounds=5, + after_clifford_depolarization=0.005) + dem = circuit.detector_error_model(decompose_errors=True) + idx = fastgap.GapIndex.from_dem(dem) + dec = fastgap.GapDecoder(idx) + shots = circuit.compile_detector_sampler().sample(1000, bit_packed=True) + res = dec.decode_batch(shots) + res.gap_lb # certified lower bounds on the gap, in nats +""" + +from fastgap import _cpp_fastgap +from fastgap._cpp_fastgap import BoundarylessLogicalError, InvariantViolation, ParallelEdgeConflictError +from fastgap.decoder import BatchResult, GapDecoder, GapResult, pack_shots +from fastgap.exact import ExactBatch, brute_force_gap, exact_gap_batch +from fastgap.index import GapIndex +from fastgap.landmarks import InteriorGraph, LandmarkSource, LandmarkStrategy + +__version__ = "0.1.0" + +__all__ = [ + "BatchResult", + "BoundarylessLogicalError", + "ExactBatch", + "GapDecoder", + "GapIndex", + "GapResult", + "InteriorGraph", + "InvariantViolation", + "LandmarkSource", + "LandmarkStrategy", + "ParallelEdgeConflictError", + "brute_force_gap", + "exact_gap_batch", + "pack_shots", +] diff --git a/src/fastgap/__main__.py b/src/fastgap/__main__.py new file mode 100644 index 000000000..7b4d7c7c9 --- /dev/null +++ b/src/fastgap/__main__.py @@ -0,0 +1,8 @@ +"""Entry point for ``python -m fastgap``.""" + +import sys + +from fastgap.cli import main + +if __name__ == "__main__": + sys.exit(main()) diff --git a/src/fastgap/cli.py b/src/fastgap/cli.py new file mode 100644 index 000000000..4c0bcab3e --- /dev/null +++ b/src/fastgap/cli.py @@ -0,0 +1,438 @@ +"""Command line tools: ``python -m fastgap {bench,build-index,landmark-report,serve}``.""" + +from __future__ import annotations + +import argparse +import csv +import json +import os +import struct +import subprocess +import sys +import time +from typing import List, Optional + +import numpy as np + +from fastgap import _cpp_fastgap +from fastgap.decoder import GapDecoder +from fastgap.exact import exact_gap_batch +from fastgap.index import GapIndex + +CSV_COLUMNS = [ + "shot", + "num_defects", + "w_star", + "gap_exact", + "gap_lb", + "gap_ub", + "t_decode_ns", + "t_gap_ns", + "t_exact_ns", + "walk_simple", + "all_hops_exact", + "censored", + "strategy_hash", +] + + +# --------------------------------------------------------------------------------------------- +# Inputs + + +def add_dem_args(p: argparse.ArgumentParser) -> None: + p.add_argument("--dem", help="path to a graphlike .dem file") + p.add_argument("--gen", help="generate a stim circuit instead, e.g. surface_code:rotated_memory_x") + p.add_argument("-d", "--distance", type=int, default=5) + p.add_argument("-r", "--rounds", type=int, default=None, help="default: distance") + p.add_argument("-p", "--noise", type=float, default=1e-3, help="uniform circuit noise strength") + p.add_argument("--observable", type=int, default=0) + + +def load_dem(args): + import stim + + if args.dem: + return stim.DetectorErrorModel.from_file(args.dem) + if args.gen: + p = args.noise + circuit = stim.Circuit.generated( + args.gen, + distance=args.distance, + rounds=args.rounds or args.distance, + after_clifford_depolarization=p, + before_round_data_depolarization=p, + before_measure_flip_probability=p, + after_reset_flip_probability=p, + ) + return circuit.detector_error_model(decompose_errors=True) + raise SystemExit("pass --dem FILE or --gen CODE_TASK") + + +def add_index_args(p: argparse.ArgumentParser) -> None: + p.add_argument("--idx", help="prebuilt index file (from build-index)") + p.add_argument("--strategy", default="auto") + p.add_argument("--num-landmarks", type=int, default=16) + + +def get_index(args, dem) -> GapIndex: + if getattr(args, "idx", None) and os.path.exists(args.idx): + return GapIndex.load(args.idx) + return GapIndex.from_dem( + dem, + observable=args.observable, + strategy=args.strategy, + num_landmarks=args.num_landmarks, + ) + + +def sample_shots(dem, n: int, seed: Optional[int]) -> np.ndarray: + dets, _, _ = dem.compile_sampler(seed=seed).sample(n, bit_packed=True) + return np.ascontiguousarray(dets) + + +def percentiles(x) -> dict: + x = np.asarray(x, dtype=np.float64) + if len(x) == 0: + return {} + return { + "median": float(np.median(x)), + "p99": float(np.percentile(x, 99)), + "p99.9": float(np.percentile(x, 99.9)), + "mean": float(np.mean(x)), + "max": float(np.max(x)), + } + + +# --------------------------------------------------------------------------------------------- +# build-index + + +def cmd_build_index(args) -> int: + dem = load_dem(args) + t0 = time.perf_counter() + idx = GapIndex.from_dem( + dem, + observable=args.observable, + strategy=args.strategy, + num_landmarks=args.num_landmarks, + ) + elapsed = time.perf_counter() - t0 + idx.save(args.out) + report = idx.memory_report() + report.update({"strategy": idx.strategy_name, "strategy_hash": idx.strategy_hash, "build_seconds": elapsed, + "landmarks": [l.label for l in idx.landmarks], "out": args.out}) + print(json.dumps(report, indent=2)) + return 0 + + +# --------------------------------------------------------------------------------------------- +# serve: a minimal pipe protocol used to measure end-to-end latency (syndrome arriving from +# outside the process, answer leaving it). +# request: uint32 length, then `length` bytes of one bit-packed shot (length 0 = quit) +# response: uint64 prediction mask, int64 gap_lb (internal units, -1 = inf), uint8 censored + +RESPONSE = struct.Struct(" int: + idx = GapIndex.load(args.idx) + dec = GapDecoder(idx, num_threads=args.threads) + if args.pin is not None: + _cpp_fastgap.pin_current_thread(args.pin) + inp = sys.stdin.buffer + out = sys.stdout.buffer + core = dec._core + threshold = -1 if args.threshold is None else int(np.ceil(args.threshold * idx.normalising_constant)) + while True: + header = inp.read(4) + if len(header) < 4: + return 0 + (n,) = struct.unpack(" np.ndarray: + cmd = [sys.executable, "-m", "fastgap", "serve", "--idx", idx_path, "--threads", str(threads)] + if threshold is not None: + cmd += ["--threshold", str(threshold)] + if pin is not None: + cmd += ["--pin", str(pin)] + proc = subprocess.Popen(cmd, stdin=subprocess.PIPE, stdout=subprocess.PIPE, bufsize=0) + times = np.zeros(len(shots), dtype=np.int64) + try: + for i, row in enumerate(shots): + payload = struct.pack(" int: + dem = load_dem(args) + idx = get_index(args, dem) + if args.pin is not None: + _cpp_fastgap.pin_current_thread(args.pin) + shots = sample_shots(dem, args.shots, args.seed) + warm = sample_shots(dem, args.warmup, None if args.seed is None else args.seed + 1) + + # Latency at each thread count. Shots are always decoded one after another; the threads of a + # decoder cooperate on each shot's gap search, so more threads lower per-shot latency. + pin = args.pin is not None + thread_counts = sorted(set([1] + list(args.threads))) + by_threads = {} + for t in thread_counts: + dec = GapDecoder(idx, num_threads=t, pin_threads=pin) + dec.decode_batch(warm, threshold=args.threshold, upper_bound=args.upper_bound) + by_threads[t] = dec.decode_batch(shots, threshold=args.threshold, upper_bound=args.upper_bound) + res = by_threads[1] + for t, res_t in by_threads.items(): + same = (np.array_equal(res.gap_lb_int, res_t.gap_lb_int) and np.array_equal(res.gap_ub_int, res_t.gap_ub_int) + and np.array_equal(res.prediction, res_t.prediction) and np.array_equal(res.walk_simple, res_t.walk_simple)) + if not same: + raise AssertionError(f"{t}-thread results differ from single-threaded results") + + exact = None + violations = 0 + if not args.no_exact: + exact_gap_batch(idx, warm) + exact = exact_gap_batch(idx, shots) + bad = res.gap_lb_int > exact.gap_int + violations = int(np.sum(bad)) + ub_bad = int(np.sum(res.walk_simple & (res.gap_ub_int < exact.gap_int))) + if violations or ub_bad: + print(f"SOUNDNESS VIOLATION: {violations} shots with gap_lb > gap_exact, {ub_bad} with gap_ub < gap_exact", + file=sys.stderr) + + e2e = None + if args.e2e: + path = args.idx + if not path: + path = os.path.join(os.path.dirname(os.path.abspath(args.out or ".")) or ".", ".fastgap_bench.idx") + idx.save(path) + e2e = {} + for t in thread_counts: + measure_end_to_end(path, warm[: min(len(warm), 200)], args.threshold, args.pin, t) + e2e[t] = measure_end_to_end(path, shots[: args.e2e_shots], args.threshold, args.pin, t) + + nc = idx.normalising_constant + if args.out: + with open(args.out, "w", newline="") as f: + w = csv.writer(f) + extra = [t for t in thread_counts if t != 1] + w.writerow(CSV_COLUMNS + [f"t_gap_ns_t{t}" for t in extra] + ["t_exact_mstar_ns", "t_exact_comp_ns"]) + for i in range(len(res)): + w.writerow([ + i, + int(res.num_defects[i]), + repr(float(res.weight[i])), + "" if exact is None else repr(float(exact.gap[i])), + repr(float(res.gap_lb[i])), + repr(float(res.gap_ub[i])), + int(res.t_decode_ns[i]), + int(res.t_gap_ns[i]), + "" if exact is None else int(exact.t_exact_ns[i]), + int(res.walk_simple[i]), + int(res.all_hops_exact[i]), + int(res.censored[i]), + idx.strategy_hash, + ] + [int(by_threads[t].t_gap_ns[i]) for t in extra] + ( + ["", ""] if exact is None else [int(exact.t_mstar_ns[i]), int(exact.t_comp_ns[i])])) + + n = len(res) + summary = { + "num_shots": n, + "num_detectors": idx.num_detectors, + "strategy": idx.strategy_name, + "strategy_hash": idx.strategy_hash, + "num_landmarks": len(idx.landmarks), + "normalising_constant": nc, + "threads": thread_counts, + "pinned": args.pin is not None and sys.platform.startswith("linux"), + # Compute-only per-shot latency at each thread count (stage timers inside decode_batch). + "latency_ns_by_threads": { + str(t): { + "decode": percentiles(r.t_decode_ns), + "gap": percentiles(r.t_gap_ns), + "total": percentiles(r.t_decode_ns + r.t_gap_ns), + "gap_median_speedup": float(np.median(res.t_gap_ns) / max(1.0, np.median(r.t_gap_ns))), + } + for t, r in by_threads.items() + }, + "gap_overhead_ratio_median": float(np.median(res.t_gap_ns) / max(1.0, np.median(res.t_decode_ns))), + "walk_simple_fraction": float(np.mean(res.walk_simple)), + "all_hops_exact_fraction": float(np.mean(res.all_hops_exact)), + "censored_fraction": float(np.mean(res.censored)), + "blossom_shot_fraction": float(np.mean(res.num_blossoms > 0)), + "mean_defects": float(np.mean(res.num_defects)), + } + if exact is not None: + summary["exact_ns"] = percentiles(exact.t_exact_ns) + # The baseline's two decodes separately: the one in the class of M* plays the role of the + # ordinary decode; the complementary-class decode is what the baseline pays for the gap. + summary["exact_mstar_decode_ns"] = percentiles(exact.t_mstar_ns) + summary["exact_comp_decode_ns"] = percentiles(exact.t_comp_ns) + # Gap computation only: baseline complementary decode latency / fastgap gap-stage latency. + summary["gap_speedup_vs_exact_by_threads"] = { + str(t): { + q: float(summary["exact_comp_decode_ns"][q] / max(1.0, summary["latency_ns_by_threads"][str(t)]["gap"][q])) + for q in ("median", "p99", "p99.9") + } + for t in by_threads + } + summary["soundness_violations"] = violations + summary["gap_lb_equals_exact_fraction"] = float(np.mean(res.gap_lb_int == exact.gap_int)) + summary["mean_gap_shortfall_db"] = float(np.mean(GapIndex.to_db(np.where( + np.isinf(exact.gap), 0.0, exact.gap - np.where(np.isinf(res.gap_lb), exact.gap, res.gap_lb))))) + if args.threshold is not None: + cls = res.classify(args.threshold) + summary["uncertain_fraction_at_threshold"] = float(np.mean(cls == 0)) + if e2e is not None: + summary["end_to_end_ns_by_threads"] = {str(t): percentiles(v) for t, v in e2e.items()} + text = json.dumps(summary, indent=2) + print(text) + if args.summary: + with open(args.summary, "w") as f: + f.write(text + "\n") + return 1 if violations else 0 + + +# --------------------------------------------------------------------------------------------- +# landmark-report (CLAUDE.md §7.5) + + +def cmd_landmark_report(args) -> int: + dem = load_dem(args) + idx = get_index(args, dem) + shots = sample_shots(dem, args.shots, args.seed) + dec = GapDecoder(idx) + t0 = time.perf_counter() + res = dec.decode_batch(shots) + wall = time.perf_counter() - t0 + sigma = dec.decode_batch(shots, pricing="exact") + exact = exact_gap_batch(idx, shots) + core = idx._core + + # LB/dist on the hop pairs of real walks. + ratios: List[float] = [] + dense = np.unpackbits(shots, axis=1, bitorder="little")[:, : idx.num_detectors] + for row in dense[: args.hop_shots]: + r = dec.decode(row, keep_walk=True) + for a, b, _, _exact in r.walk: + if a < 0 or b < 0: + continue + d = core.exact_distance(a, b) + if d > 0: + ratios.append(core.lower_bound(a, b) / d) + + finite = np.isfinite(exact.gap_int) & np.isfinite(res.gap_lb_int) & np.isfinite(sigma.gap_lb_int) + nc = idx.normalising_constant + lb_part = GapIndex.to_db((sigma.gap_lb_int - res.gap_lb_int)[finite] / nc) + alt_part = GapIndex.to_db((exact.gap_int - sigma.gap_lb_int)[finite] / nc) + total = GapIndex.to_db((exact.gap_int - res.gap_lb_int)[finite] / nc) + edges = np.array([0, 1e-9, 0.5, 1, 2, 3, 5, 10, 20, np.inf]) + + def hist(x): + counts, _ = np.histogram(x, bins=edges) + return {f"[{edges[i]:g},{edges[i + 1]:g})": int(c) for i, c in enumerate(counts)} + + ratios_arr = np.asarray(ratios) + report = { + "dem_detectors": idx.num_detectors, + "strategy": idx.strategy_name, + "strategy_hash": idx.strategy_hash, + "landmarks": [l.label for l in idx.landmarks], + "memory": idx.memory_report(), + "num_shots": len(res), + "lb_over_dist_on_hops": { + "count": int(len(ratios_arr)), + "mean": float(ratios_arr.mean()) if len(ratios_arr) else None, + "fraction_exact": float(np.mean(ratios_arr >= 1.0)) if len(ratios_arr) else None, + "quantiles": {q: float(np.quantile(ratios_arr, q)) for q in (0.01, 0.1, 0.5, 0.9)} if len(ratios_arr) else {}, + }, + "fraction_gap_lb_equals_delta_sigma": float(np.mean(res.gap_lb_int == sigma.gap_lb_int)), + "fraction_gap_lb_equals_gap_exact": float(np.mean(res.gap_lb_int == exact.gap_int)), + "shortfall_db_histogram": {"total": hist(total), "lb_part": hist(lb_part), "alternation_blossom_part": hist(alt_part)}, + "us_per_shot": 1e6 * wall / len(res), + "soundness_violations": int(np.sum(res.gap_lb_int > exact.gap_int)), + } + text = json.dumps(report, indent=2) + print(text) + if args.out: + with open(args.out, "w") as f: + f.write(text + "\n") + return 1 if report["soundness_violations"] else 0 + + +# --------------------------------------------------------------------------------------------- + + +def main(argv: Optional[List[str]] = None) -> int: + parser = argparse.ArgumentParser(prog="python -m fastgap", description=__doc__) + sub = parser.add_subparsers(dest="cmd", required=True) + + b = sub.add_parser("bench", help="per-shot CSV and latency summary") + add_dem_args(b) + add_index_args(b) + b.add_argument("--shots", type=int, default=10000) + b.add_argument("--warmup", type=int, default=1000) + b.add_argument("--threads", type=int, nargs="+", default=[1], + help="thread counts per shot to measure latency at (1 is always included), e.g. --threads 4 10") + b.add_argument("--seed", type=int, default=None) + b.add_argument("--threshold", type=float, default=None, help="post-selection threshold in nats") + b.add_argument("--upper-bound", action="store_true", default=True) + b.add_argument("--no-upper-bound", dest="upper_bound", action="store_false") + b.add_argument("--no-exact", action="store_true", help="skip the exact two-decode baseline") + b.add_argument("--e2e", action="store_true", help="also measure end-to-end latency through a pipe") + b.add_argument("--e2e-shots", type=int, default=2000) + b.add_argument("--pin", type=int, default=None, help="pin threads starting at this CPU (Linux)") + b.add_argument("--out", help="per-shot CSV path") + b.add_argument("--summary", help="summary JSON path") + b.set_defaults(func=cmd_bench) + + bi = sub.add_parser("build-index", help="build and save a GapIndex") + add_dem_args(bi) + bi.add_argument("--strategy", default="auto") + bi.add_argument("--num-landmarks", type=int, default=16) + bi.add_argument("--out", required=True) + bi.set_defaults(func=cmd_build_index) + + lr = sub.add_parser("landmark-report", help="tightness report for a DEM and landmark strategy") + add_dem_args(lr) + add_index_args(lr) + lr.add_argument("--shots", type=int, default=10000) + lr.add_argument("--hop-shots", type=int, default=2000, help="shots whose walks are used for LB/dist") + lr.add_argument("--seed", type=int, default=None) + lr.add_argument("--out", help="report JSON path") + lr.set_defaults(func=cmd_landmark_report) + + s = sub.add_parser("serve", help="decode shots from stdin (used by bench --e2e)") + s.add_argument("--idx", required=True) + s.add_argument("--threshold", type=float, default=None) + s.add_argument("--pin", type=int, default=None) + s.add_argument("--threads", type=int, default=1, help="threads per shot") + s.set_defaults(func=cmd_serve) + + args = parser.parse_args(argv) + return int(args.func(args) or 0) diff --git a/src/fastgap/decoder.py b/src/fastgap/decoder.py new file mode 100644 index 000000000..35567a574 --- /dev/null +++ b/src/fastgap/decoder.py @@ -0,0 +1,257 @@ +"""GapDecoder: MWPM decode plus a certified lower bound on the complementary gap.""" + +from __future__ import annotations + +import math +from dataclasses import dataclass, field +from typing import List, Optional, Tuple + +import numpy as np + +from fastgap import _cpp_fastgap +from fastgap.index import GapIndex + + +def pack_shots(shots: np.ndarray, num_detectors: int, bit_packed: bool) -> np.ndarray: + """Returns a C-contiguous (num_shots, ceil(num_detectors / 8)) uint8 bit-packed array.""" + shots = np.asarray(shots) + if shots.ndim == 1: + shots = shots.reshape(1, -1) + if bit_packed: + return np.ascontiguousarray(shots, dtype=np.uint8) + if shots.shape[1] != num_detectors: + raise ValueError(f"unpacked shots must have {num_detectors} columns, got {shots.shape[1]}") + return np.ascontiguousarray(np.packbits(shots.astype(np.uint8), axis=1, bitorder="little")) + + +def _threshold_int(idx: GapIndex, threshold: Optional[float]) -> int: + # gap_int >= ceil(tau * nc) implies gap >= tau, so post-selection decisions stay sound. + if threshold is None: + return -1 + if threshold < 0: + raise ValueError("threshold must be non-negative") + return int(math.ceil(float(threshold) * idx.normalising_constant)) + + +def _prediction_bits(masks: np.ndarray, num_observables: int) -> np.ndarray: + masks = np.asarray(masks, dtype=np.uint64) + bits = (masks[..., None] >> np.arange(num_observables, dtype=np.uint64)) & np.uint64(1) + return bits.astype(np.uint8) + + +@dataclass +class GapResult: + """Result of one shot. Weights and gaps are in user units (nats); ``*_int`` fields are in + PyMatching's internal integer units, which is what soundness comparisons must use.""" + + prediction: np.ndarray + weight: float + gap_lb: float + gap_lb_db: float + gap_ub: float + censored: bool + walk_simple: bool + all_hops_exact: bool + blossom_pass: bool + num_defects: int + num_blossoms: int + num_hops: int + hop_slack: float + t_decode_ns: int + t_gap_ns: int + weight_int: int + gap_lb_int: float + gap_ub_int: float + walk: List[Tuple[int, int, int, bool]] = field(default_factory=list) + + @property + def gap_ub_db(self) -> float: + return GapIndex.to_db(self.gap_ub) + + +@dataclass +class BatchResult: + """Arrays of per-shot results (same fields as :class:`GapResult`).""" + + prediction: np.ndarray + weight: np.ndarray + gap_lb: np.ndarray + gap_lb_db: np.ndarray + gap_ub: np.ndarray + censored: np.ndarray + walk_simple: np.ndarray + all_hops_exact: np.ndarray + blossom_pass: np.ndarray + num_defects: np.ndarray + num_blossoms: np.ndarray + num_hops: np.ndarray + hop_slack: np.ndarray + t_decode_ns: np.ndarray + t_gap_ns: np.ndarray + weight_int: np.ndarray + gap_lb_int: np.ndarray + gap_ub_int: np.ndarray + + def __len__(self) -> int: + return len(self.weight) + + @property + def gap_ub_db(self) -> np.ndarray: + return GapIndex.to_db(self.gap_ub) + + def classify(self, threshold: float) -> np.ndarray: + """Post-selection at threshold tau (CLAUDE.md §3.5): +1 keep (gap_lb >= tau), -1 discard + (gap_ub < tau), 0 uncertain.""" + out = np.zeros(len(self), dtype=np.int8) + out[self.gap_lb >= threshold] = 1 + out[(out == 0) & (self.gap_ub < threshold)] = -1 + return out + + +class GapDecoder: + """Decodes shots with PyMatching's sparse blossom and returns a certified lower bound on the + complementary gap from the decoder's final dual state (no second decode). + + Args: + index: the :class:`GapIndex` for the DEM. + num_threads: number of threads that cooperate on *each* shot's gap search, including the + calling thread (which runs the search; the other ``num_threads - 1`` prefetch price + rows). Created once here, never per shot. Shots are always decoded one after another, so this + lowers per-shot latency rather than raising throughput. Shots with fewer than + ``parallel_grain`` defects run on one thread. Use at most the size of the fastest + core cluster (5 on an M5 Pro); beyond that latency gets worse. + pin_threads: pin the threads to cores where the OS allows (Linux; on macOS they only ask + for the user-interactive QoS class). + check: run the debug invariants (dual feasibility, relay tightness, d_hat <= dist) on + every shot. Slow; meant for tests. + """ + + def __init__(self, index: GapIndex, num_threads: int = 1, pin_threads: bool = False, check: bool = False): + self.index = index + self.check = bool(check) + self._core = _cpp_fastgap.GapDecoderCore(index._core, int(num_threads), bool(pin_threads)) + + @property + def num_threads(self) -> int: + return int(self._core.num_threads) + + @property + def parallel_grain(self) -> int: + """Shots with fewer defects than this use one thread (results never depend on it).""" + return int(self._core.parallel_grain) + + @parallel_grain.setter + def parallel_grain(self, value: int) -> None: + self._core.parallel_grain = int(value) + + def decode( + self, + syndrome=None, + threshold: Optional[float] = None, + upper_bound: bool = False, + *, + detection_events=None, + pricing: str = "index", + keep_walk: bool = False, + ) -> GapResult: + """Decodes one shot. + + Args: + syndrome: dense binary array with one entry per detector (like + ``pymatching.Matching.decode``). Alternatively pass ``detection_events``. + threshold: early-termination threshold tau in user units (CLAUDE.md §3.6). The + search stops once every open label is >= tau and reports ``gap_lb = tau`` with + ``censored=True``. + upper_bound: also compute ``gap_ub`` (CLAUDE.md §3.5). + pricing: ``"index"`` (landmark bound: the reported bound) or ``"exact"`` (exact + reduced costs via Dijkstra: the slow reference Delta_sigma). + keep_walk: return the hops of the walk in ``walk`` as (from, to, price_int, exact), + with -1 for L and -2 for R. + """ + if detection_events is None: + if syndrome is None: + raise ValueError("pass a syndrome or detection_events") + syndrome = np.asarray(syndrome).reshape(-1) + if syndrome.shape[0] != self.index.num_detectors: + raise ValueError(f"syndrome must have {self.index.num_detectors} entries, got {syndrome.shape[0]}") + detection_events = np.flatnonzero(syndrome) + events = np.asarray(detection_events, dtype=np.uint64).reshape(-1) + r = self._core.decode( + events, + threshold=_threshold_int(self.index, threshold), + upper_bound=bool(upper_bound), + pricing=pricing, + check=self.check, + keep_walk=bool(keep_walk), + ) + idx = self.index + gap_lb = idx.to_user_units(int(r["gap_lb"])) + gap_ub = idx.to_user_units(int(r["gap_ub"])) + slack = int(r["hop_slack"]) + return GapResult( + prediction=_prediction_bits(np.uint64(r["prediction_mask"]), idx.num_observables), + weight=int(r["w_star"]) / idx.normalising_constant, + gap_lb=gap_lb, + gap_lb_db=GapIndex.to_db(gap_lb), + gap_ub=gap_ub, + censored=bool(r["censored"]), + walk_simple=bool(r["walk_simple"]), + all_hops_exact=bool(r["all_hops_exact"]), + blossom_pass=bool(r["blossom_pass"]), + num_defects=int(r["num_defects"]), + num_blossoms=int(r["num_blossoms"]), + num_hops=int(r["num_hops"]), + hop_slack=np.nan if slack < 0 else slack / idx.normalising_constant, + t_decode_ns=int(r["t_decode_ns"]), + t_gap_ns=int(r["t_gap_ns"]), + weight_int=int(r["w_star"]), + gap_lb_int=np.inf if int(r["gap_lb"]) < 0 else int(r["gap_lb"]), + gap_ub_int=np.inf if int(r["gap_ub"]) < 0 else int(r["gap_ub"]), + walk=[(int(a), int(b), int(p), bool(e)) for a, b, p, e in r["walk"]], + ) + + def decode_batch( + self, + shots, + threshold: Optional[float] = None, + upper_bound: bool = False, + *, + bit_packed_shots: bool = True, + pricing: str = "index", + ) -> BatchResult: + """Decodes many shots. ``shots`` is (num_shots, ceil(num_detectors/8)) bit-packed uint8 + (little-endian bit order, as from ``stim``'s ``bit_packed=True``), or set + ``bit_packed_shots=False`` for a dense (num_shots, num_detectors) array.""" + idx = self.index + packed = pack_shots(shots, idx.num_detectors, bit_packed_shots) + r = self._core.decode_batch( + packed, + threshold=_threshold_int(idx, threshold), + upper_bound=bool(upper_bound), + pricing=pricing, + check=self.check, + ) + gap_lb = idx.to_user_units(r["gap_lb"]) + gap_ub = idx.to_user_units(r["gap_ub"]) + slack = r["hop_slack"].astype(np.float64) + slack = np.where(slack < 0, np.nan, slack / idx.normalising_constant) + return BatchResult( + prediction=_prediction_bits(r["prediction_mask"], idx.num_observables), + weight=r["w_star"] / idx.normalising_constant, + gap_lb=gap_lb, + gap_lb_db=GapIndex.to_db(gap_lb), + gap_ub=gap_ub, + censored=r["censored"], + walk_simple=r["walk_simple"], + all_hops_exact=r["all_hops_exact"], + blossom_pass=r["blossom_pass"], + num_defects=r["num_defects"], + num_blossoms=r["num_blossoms"], + num_hops=r["num_hops"], + hop_slack=slack, + t_decode_ns=r["t_decode_ns"], + t_gap_ns=r["t_gap_ns"], + weight_int=r["w_star"], + gap_lb_int=np.where(r["gap_lb"] < 0, np.inf, r["gap_lb"].astype(np.float64)), + gap_ub_int=np.where(r["gap_ub"] < 0, np.inf, r["gap_ub"].astype(np.float64)), + ) diff --git a/src/fastgap/exact.py b/src/fastgap/exact.py new file mode 100644 index 000000000..59def5efd --- /dev/null +++ b/src/fastgap/exact.py @@ -0,0 +1,69 @@ +"""Exact references: the two-decode baseline and brute-force enumeration (CLAUDE.md §5.2).""" + +from __future__ import annotations + +from dataclasses import dataclass + +import numpy as np + +from fastgap import _cpp_fastgap +from fastgap.decoder import pack_shots +from fastgap.index import GapIndex + + +@dataclass +class ExactBatch: + """Exact gaps. ``prediction`` is observable k in the original labels; weights in user + units; ``*_int`` in internal units (use these for soundness comparisons).""" + + prediction: np.ndarray + w_star: np.ndarray + gap: np.ndarray + w_star_int: np.ndarray + gap_int: np.ndarray + t_exact_ns: np.ndarray + # The two decodes timed separately: the one in the class of M* (W* and the prediction, like + # an ordinary decode) and the one in the complementary class (W^c, the cost of the gap). + t_mstar_ns: np.ndarray + t_comp_ns: np.ndarray + + def __iter__(self): + # Allows ``prediction, w_star, gap = exact_gap_batch(...)``. + return iter((self.prediction, self.w_star, self.gap)) + + +def _baseline(idx: GapIndex, num_threads: int): + core = idx._exact_cache.get(num_threads) + if core is None: + core = _cpp_fastgap.ExactBaselineCore(idx._core, int(num_threads)) + if core.normalising_constant != idx.normalising_constant: + raise AssertionError("exact baseline graph and fastgap graph have different internal units") + idx._exact_cache[num_threads] = core + return core + + +def exact_gap_batch(idx: GapIndex, shots, *, bit_packed_shots: bool = True, num_threads: int = 1) -> ExactBatch: + """Exact gap by two PyMatching decodes on the gauge-fixed graph, with the observable turned + into an extra detector that is off / on (the method of Gidney's cultivation and yoking + samplers). Built from the same canonical graph as fastgap, with the same internal units. + + Returns an :class:`ExactBatch`, which unpacks as ``(prediction, w_star, gap)``. + """ + packed = pack_shots(shots, idx.num_detectors, bit_packed_shots) + r = _baseline(idx, num_threads).decode_batch(packed, idx.num_detectors) + return ExactBatch( + prediction=r["prediction"], + w_star=r["w_star"] / idx.normalising_constant, + gap=idx.to_user_units(r["gap"]), + w_star_int=r["w_star"], + gap_int=np.where(r["gap"] < 0, np.inf, r["gap"].astype(np.float64)), + t_exact_ns=r["t_exact_ns"], + t_mstar_ns=r["t_mstar_ns"], + t_comp_ns=r["t_comp_ns"], + ) + + +def brute_force_gap(idx: GapIndex, detection_events) -> dict: + """Exact gap by enumerating all matchings (at most 20 defects); internal units.""" + events = np.asarray(detection_events, dtype=np.uint64).reshape(-1) + return dict(_cpp_fastgap.brute_force_gap(idx._core, events)) diff --git a/src/fastgap/index.py b/src/fastgap/index.py new file mode 100644 index 000000000..f2465755f --- /dev/null +++ b/src/fastgap/index.py @@ -0,0 +1,262 @@ +"""GapIndex: per-DEM precomputation (canonical graph, boundary and landmark potentials).""" + +from __future__ import annotations + +import json +import logging +from typing import Any, Dict, List, Optional, Union + +import numpy as np + +from fastgap import _cpp_fastgap +from fastgap.landmarks import ( + InteriorGraph, + LandmarkSource, + LandmarkStrategy, + dedupe, + resolve, + strategy_params, +) + +LOG10_E_TIMES_10 = 10.0 * np.log10(np.e) + +logger = logging.getLogger("fastgap") + + +def _coords_of(dem) -> Optional[Dict[int, List[float]]]: + getter = getattr(dem, "get_detector_coordinates", None) + if getter is None: + return None + try: + return {int(k): list(v) for k, v in getter().items()} + except Exception: # pragma: no cover - coordinates are optional + return None + + +class GapIndex: + """Precomputed data for one (DEM, observable) pair (CLAUDE.md §5.3). + + Build with :meth:`from_dem` (or :meth:`from_gap_dem` for an external reference DEM). The + index stores the gauge bits, the boundary potentials ``h_L``/``h_R``, the landmark potentials + and the landmark strategy config with its hash. Cache indices with :meth:`save`/:meth:`load`. + """ + + def __init__(self, core): + self._core = core + self._exact_cache: Dict[int, Any] = {} + self._graph: Optional[InteriorGraph] = None + + # ------------------------------------------------------------------ construction + + @classmethod + def from_dem( + cls, + dem, + observable: int = 0, + strategy: Union[str, LandmarkStrategy] = "auto", + num_landmarks: int = 16, + meta: Optional[Dict[str, Any]] = None, + ) -> "GapIndex": + """Builds an index from a graphlike stim DEM (``decompose_errors=True``). + + Args: + dem: a ``stim.DetectorErrorModel`` (or its text). + observable: the observable index k whose gap is computed. + strategy: landmark strategy name (see ``fastgap.landmarks.STRATEGIES``), ``"auto"``, + or a ``LandmarkStrategy`` object. + num_landmarks: landmark budget K (L and R come on top). + meta: extra information for the strategy. + + Raises: + fastgap.BoundarylessLogicalError: observable k has a logical that never touches a + boundary (e.g. a toroidal code). + fastgap.ParallelEdgeConflictError: two mechanisms on the same detectors differ in + the gauge-fixed observable (a local weight-2 logical). + """ + text = dem if isinstance(dem, str) else str(dem) + core = _cpp_fastgap.GapIndexCore.create_from_dem(text, int(observable)) + coords = None if isinstance(dem, str) else _coords_of(dem) + meta = dict(meta or {}) + if not isinstance(dem, str): + meta.setdefault("dem", dem) + meta.setdefault("observable", int(observable)) + meta.setdefault("num_landmarks", int(num_landmarks)) + idx = cls(core) + idx._place_landmarks(strategy, coords, meta, num_landmarks) + return idx + + @classmethod + def from_gap_dem( + cls, + gap_dem, + obs_detector: Optional[int] = None, + strategy: Union[str, LandmarkStrategy] = "auto", + num_landmarks: int = 16, + meta: Optional[Dict[str, Any]] = None, + ) -> "GapIndex": + """Builds an index from a reference DEM whose observable is already a detector. + + This is the path for Gidney's desaturation ``gap_dem`` (CLAUDE.md §7.3): fastgap's graph + is built from exactly the edges PyMatching keeps for ``gap_dem``. Edges to the + observable detector become L boundary edges, ordinary boundary edges become R edges, and + the observable detector itself is dropped (its events are ignored). The edge set, weights + and normalising constant are then checked against the reference graph. + """ + import pymatching + + matching = pymatching.Matching.from_detector_error_model(gap_dem) + num_detectors = int(gap_dem.num_detectors) + if obs_detector is None: + obs_detector = num_detectors - 1 + edges = [] + for u, v, attrs in matching.edges(): + w = float(attrs["weight"]) + p = float(attrs.get("error_probability", -1.0)) + if v is None: + if u == obs_detector: + edges.append((-1, -1, False, w, p)) + else: + edges.append((u, -1, False, w, p)) + elif u == obs_detector or v == obs_detector: + other = v if u == obs_detector else u + edges.append((other, -1, True, w, p)) + else: + edges.append((u, v, False, w, p)) + core = _cpp_fastgap.GapIndexCore.create_from_reference_edges(num_detectors, int(obs_detector), edges) + mismatch = core.compare_with_reference_dem(str(gap_dem)) + if mismatch: + raise AssertionError(f"fastgap graph does not match the reference gap_dem graph: {mismatch}") + coords = _coords_of(gap_dem) + if coords is not None: + coords.pop(int(obs_detector), None) + meta = dict(meta or {}) + meta.setdefault("num_landmarks", int(num_landmarks)) + idx = cls(core) + idx._place_landmarks(strategy, coords, meta, num_landmarks) + return idx + + def _place_landmarks(self, strategy, coords, meta, k): + graph = self.graph + strat = resolve(strategy, graph, coords, meta) + sources: List[LandmarkSource] = dedupe(list(strat.select(graph, coords, meta, int(k))))[: int(k)] + sources = [LandmarkSource(frozenset(int(x) for x in s.nodes), str(s.label)) for s in sources] + payload = [(s.label, sorted(s.nodes)) for s in sources] + config = json.dumps( + { + "strategy": getattr(strat, "name", type(strat).__name__), + "params": strategy_params(strat), + "num_landmarks": int(k), + "observable": int(self.observable), + "sources": payload, + }, + sort_keys=True, + ) + self._core.set_landmarks(payload, config) + mem = self.memory_report() + logger.info( + "fastgap index: %d detectors, strategy %s (%d landmarks, hash %s); potentials %.0f B/detector", + mem["num_detectors"], self.strategy_name, mem["num_landmarks"], self.strategy_hash, + mem["potential_bytes_per_detector"], + ) + + # ------------------------------------------------------------------ persistence + + def save(self, path) -> None: + self._core.save(str(path)) + + @classmethod + def load(cls, path) -> "GapIndex": + return cls(_cpp_fastgap.GapIndexCore.load(str(path))) + + # ------------------------------------------------------------------ properties + + @property + def graph(self) -> InteriorGraph: + if self._graph is None: + self._graph = InteriorGraph(self._core) + return self._graph + + @property + def num_detectors(self) -> int: + return int(self._core.num_detectors) + + @property + def num_observables(self) -> int: + return int(self._core.num_observables) + + @property + def observable(self) -> int: + return int(self._core.observable) + + @property + def normalising_constant(self) -> float: + """Internal units per user unit (``2c`` in CLAUDE.md §2.1).""" + return float(self._core.normalising_constant) + + @property + def d_lr(self) -> float: + """Weight of the lightest logical (user units).""" + return self.to_user_units(self._core.d_lr) + + @property + def d_lr_int(self) -> int: + return int(self._core.d_lr) + + @property + def strategy_config(self) -> Dict[str, Any]: + return json.loads(self._core.strategy_config) + + @property + def strategy_name(self) -> str: + return self.strategy_config.get("strategy", "") + + @property + def strategy_hash(self) -> str: + return f"{int(self._core.strategy_hash):016x}" + + @property + def landmarks(self) -> List[LandmarkSource]: + return [LandmarkSource(frozenset(int(x) for x in nodes), label) for label, nodes in self._core.landmarks] + + @property + def gauge(self) -> np.ndarray: + return self._core.gauge + + @property + def potential_bytes(self) -> int: + return int(self._core.potential_bytes) + + def memory_report(self) -> Dict[str, float]: + """Potential memory (CLAUDE.md §7.4).""" + n = max(1, self.num_detectors) + return { + "num_detectors": self.num_detectors, + "num_landmarks": len(self.landmarks), + "potential_bytes": self.potential_bytes, + "potential_bytes_per_detector": self.potential_bytes / n, + } + + def canonical_dem(self): + """The canonical (gauge-fixed) DEM as a ``stim.DetectorErrorModel``.""" + import stim + + return stim.DetectorErrorModel(self._core.canonical_dem_text()) + + def to_user_units(self, x): + """Internal integers to user units; DIST_INF (or -1 from batch arrays) maps to inf.""" + arr = np.asarray(x, dtype=np.float64) + inf_mask = (arr < 0) | (arr >= _cpp_fastgap.DIST_INF // 2) + out = np.where(inf_mask, np.inf, arr / self.normalising_constant) + return float(out) if out.ndim == 0 else out + + @staticmethod + def to_db(x): + """Gap in decibels: 10 log10(e) * gap (CLAUDE.md §2.1).""" + return np.asarray(x, dtype=np.float64) * LOG10_E_TIMES_10 if np.ndim(x) else float(x) * LOG10_E_TIMES_10 + + def __repr__(self) -> str: + return ( + f"fastgap.GapIndex(num_detectors={self.num_detectors}, observable={self.observable}, " + f"strategy={self.strategy_name!r}, num_landmarks={len(self.landmarks)}, " + f"hash={self.strategy_hash})" + ) diff --git a/src/fastgap/landmarks/__init__.py b/src/fastgap/landmarks/__init__.py new file mode 100644 index 000000000..6be931ceb --- /dev/null +++ b/src/fastgap/landmarks/__init__.py @@ -0,0 +1,82 @@ +"""Landmark strategies (CLAUDE.md §7). + +Future experiments add strategies by implementing ``LandmarkStrategy`` and registering them here +with ``register``. The core never needs to change: any set of exact potentials gives a valid +lower bound. +""" + +from __future__ import annotations + +from typing import Callable, Dict, Union + +from fastgap.landmarks.base import ( + DIST_INF, + SIDE_L, + SIDE_NONE, + SIDE_R, + InteriorGraph, + LandmarkSource, + LandmarkStrategy, + dedupe, + strategy_params, +) +from fastgap.landmarks.builtin import ( + FPS, + BoundaryOnly, + Faces, + FacesCorners, + Grafted, + GreedyCover, + Phenomenological, + looks_like_cultivation, + looks_like_regular_lattice, +) + +STRATEGIES: Dict[str, Callable[[], LandmarkStrategy]] = {} + + +def register(name: str, factory: Callable[[], LandmarkStrategy]) -> None: + """Registers a strategy factory under ``name`` (usable as ``strategy=name``).""" + STRATEGIES[name] = factory + + +for _cls in (BoundaryOnly, Faces, FacesCorners, FPS, GreedyCover, Grafted, Phenomenological): + register(_cls.name, _cls) + + +def resolve(strategy: Union[str, LandmarkStrategy], graph: InteriorGraph, coords, meta) -> LandmarkStrategy: + """Turns a strategy name (or ``"auto"``) into a strategy object (CLAUDE.md §7.2).""" + if not isinstance(strategy, str): + return strategy + if strategy == "auto": + if looks_like_cultivation(coords, meta): + return Grafted() + if looks_like_regular_lattice(graph, coords): + return FacesCorners() + return FPS() + if strategy not in STRATEGIES: + raise ValueError(f"unknown landmark strategy {strategy!r}; known: {sorted(STRATEGIES)} or 'auto'") + return STRATEGIES[strategy]() + + +__all__ = [ + "DIST_INF", + "SIDE_L", + "SIDE_NONE", + "SIDE_R", + "InteriorGraph", + "LandmarkSource", + "LandmarkStrategy", + "STRATEGIES", + "register", + "resolve", + "dedupe", + "strategy_params", + "BoundaryOnly", + "Faces", + "FacesCorners", + "FPS", + "GreedyCover", + "Grafted", + "Phenomenological", +] diff --git a/src/fastgap/landmarks/base.py b/src/fastgap/landmarks/base.py new file mode 100644 index 000000000..5b4035a73 --- /dev/null +++ b/src/fastgap/landmarks/base.py @@ -0,0 +1,103 @@ +"""Landmark-placement framework (CLAUDE.md §7.1). + +A landmark is a set of detectors that all sit at distance 0. Its potential +``h(x) = dist(landmark, x)`` is 1-Lipschitz, so ``|h(u) - h(v)| <= dist(u, v)`` for any choice +of landmarks: placement only affects how tight ``gap_lb`` is, never whether it is valid. + +The two boundary sides L and R are always added by the framework, outside any strategy. +""" + +from __future__ import annotations + +from typing import Any, Dict, List, NamedTuple, Optional, Protocol, Sequence, runtime_checkable + +import numpy as np + +from fastgap import _cpp_fastgap + +DIST_INF = int(_cpp_fastgap.DIST_INF) + +SIDE_NONE = 0 +SIDE_L = 1 +SIDE_R = 2 + + +class LandmarkSource(NamedTuple): + """A landmark: detector ids at distance 0, plus a label recorded in the index config.""" + + nodes: frozenset + label: str + + +class InteriorGraph: + """Read-only view of fastgap's detector graph in internal integer units. + + This is exactly the graph the decoder floods (same edges, same weights). Distances never + pass through the boundary. ``boundary_side[x]`` is ``SIDE_L``, ``SIDE_R`` or ``SIDE_NONE``. + """ + + def __init__(self, core): + self._core = core + arrays = core.graph_arrays() + self.num_nodes: int = int(core.num_nodes) + self.num_detectors: int = int(core.num_detectors) + self.offsets: np.ndarray = arrays["offsets"] + self.neighbors: np.ndarray = arrays["neighbors"] + self.weights: np.ndarray = arrays["weights"] + self.boundary_weight: np.ndarray = arrays["boundary_weight"] + self.boundary_side: np.ndarray = arrays["boundary_side"] + self.h_l: np.ndarray = core.h_l + self.h_r: np.ndarray = core.h_r + self.normalising_constant: float = core.normalising_constant + self.median_edge_weight: int = int(core.median_edge_weight) + + def dijkstra(self, sources, cap: Optional[int] = None) -> np.ndarray: + """Multi-source Dijkstra (all sources at distance 0). Unreachable nodes get DIST_INF.""" + init = [(int(s), 0) for s in sources] + return self._core.dijkstra(init, -1 if cap is None else int(cap)) + + def boundary_nodes(self, side: int) -> np.ndarray: + return np.flatnonzero(self.boundary_side == side) + + def is_reachable(self, dist: np.ndarray) -> np.ndarray: + return dist < DIST_INF // 2 + + +@runtime_checkable +class LandmarkStrategy(Protocol): + """A pluggable landmark-placement strategy. + + ``select`` returns at most ``k`` landmark sources. ``meta`` carries optional extra + information (the stim DEM under ``"dem"``, sampled hop pairs under ``"hop_pairs"``, ...). + ``params()`` returns a JSON-serialisable dict that is stored (and hashed) in the index. + """ + + name: str + + def select( + self, + graph: InteriorGraph, + coords: Optional[Dict[int, List[float]]], + meta: Dict[str, Any], + k: int, + ) -> List[LandmarkSource]: + ... + + +def strategy_params(strategy) -> Dict[str, Any]: + params = getattr(strategy, "params", None) + if callable(params): + return dict(params()) + return {} + + +def dedupe(sources: Sequence[LandmarkSource]) -> List[LandmarkSource]: + """Drops empty and repeated landmark sets, keeping the first occurrence.""" + seen = set() + out = [] + for s in sources: + if not s.nodes or s.nodes in seen: + continue + seen.add(s.nodes) + out.append(s) + return out diff --git a/src/fastgap/landmarks/builtin.py b/src/fastgap/landmarks/builtin.py new file mode 100644 index 000000000..0cdf0b111 --- /dev/null +++ b/src/fastgap/landmarks/builtin.py @@ -0,0 +1,353 @@ +"""Built-in landmark strategies (CLAUDE.md §7.2).""" + +from __future__ import annotations + +import itertools +from typing import Any, Dict, Iterable, List, Optional, Sequence + +import numpy as np + +from fastgap.landmarks.base import ( + DIST_INF, + SIDE_L, + SIDE_NONE, + SIDE_R, + InteriorGraph, + LandmarkSource, + dedupe, +) + + +def _coord_array(coords: Dict[int, List[float]], num_detectors: int): + """(ids, array) of detectors that have coordinates, padded to a common dimension.""" + ids = [d for d in range(num_detectors) if d in coords and len(coords[d]) > 0] + if not ids: + return np.zeros(0, dtype=np.int64), np.zeros((0, 0)) + dim = max(len(coords[d]) for d in ids) + arr = np.full((len(ids), dim), np.nan) + for i, d in enumerate(ids): + c = coords[d] + arr[i, : len(c)] = c + return np.asarray(ids, dtype=np.int64), arr + + +def _layer_tolerance(values: np.ndarray) -> float: + """One lattice spacing along an axis: the smallest positive gap between distinct values.""" + distinct = np.unique(values[~np.isnan(values)]) + if len(distinct) < 2: + return 0.0 + return float(np.min(np.diff(distinct))) + + +def _spatial_axes(dim: int) -> List[int]: + # Stim convention: (x, y, t) or (x, y, t, ...): with 3 or more coordinates the third is time. + if dim >= 3: + return [0, 1] + return list(range(dim)) + + +def _time_axis(dim: int) -> Optional[int]: + return 2 if dim >= 3 else None + + +def _jaccard(a: frozenset, b: frozenset) -> float: + if not a and not b: + return 0.0 + return len(a & b) / len(a | b) + + +def _boundary_axis(graph: InteriorGraph, faces_by_axis: Dict[int, List[frozenset]]) -> Optional[int]: + """The spatial axis whose two faces best match the L and R boundary node sets (Jaccard).""" + sides = [frozenset(graph.boundary_nodes(SIDE_L).tolist()), frozenset(graph.boundary_nodes(SIDE_R).tolist())] + if not any(sides): + return None + best_axis, best_score = None, 0.0 + for a, faces in faces_by_axis.items(): + score = sum(max(_jaccard(f, s) for s in sides) for f in faces) + if score > best_score: + best_axis, best_score = a, score + return best_axis + + +class BoundaryOnly: + """Ablation baseline: no landmarks beyond L and R.""" + + name = "boundary_only" + + def params(self): + return {} + + def select(self, graph, coords, meta, k): + return [] + + +class Faces: + """Time faces (first/last round) and the spatial faces not already covered by L/R. + + A face is the set of detectors within one lattice spacing of the bounding-box extreme along + an axis. The spatial axis whose faces best match the L and R boundary node sets is already + represented by the h_L / h_R potentials and is skipped. + """ + + name = "faces" + + def __init__(self, layers: float = 1.0): + self.layers = layers + + def params(self): + return {"layers": self.layers} + + def faces(self, graph: InteriorGraph, coords) -> List[LandmarkSource]: + if not coords: + return [] + ids, arr = _coord_array(coords, graph.num_detectors) + if len(ids) == 0: + return [] + dim = arr.shape[1] + out = [] + t_axis = _time_axis(dim) + if t_axis is not None: + t = arr[:, t_axis] + out.append(LandmarkSource(frozenset(ids[t == np.nanmin(t)].tolist()), "face:t=min")) + out.append(LandmarkSource(frozenset(ids[t == np.nanmax(t)].tolist()), "face:t=max")) + spatial: Dict[int, List[LandmarkSource]] = {} + for a in _spatial_axes(dim): + x = arr[:, a] + if np.all(np.isnan(x)): + continue + tol = _layer_tolerance(x) * self.layers + 1e-9 + spatial[a] = [ + LandmarkSource(frozenset(ids[sel].tolist()), f"face:x{a}={side}") + for side, sel in (("min", x <= np.nanmin(x) + tol), ("max", x >= np.nanmax(x) - tol)) + ] + # The faces along the L-R axis are already represented by the h_L / h_R potentials. + covered = _boundary_axis(graph, {a: [f.nodes for f in fs] for a, fs in spatial.items()}) + for a, fs in spatial.items(): + if a != covered: + out += fs + return dedupe(out) + + def select(self, graph, coords, meta, k): + return self.faces(graph, coords)[:k] + + +class FacesCorners(Faces): + """``faces`` plus the spacetime corners (nearest detector to each bounding-box corner).""" + + name = "faces_corners" + + def corners(self, graph: InteriorGraph, coords) -> List[LandmarkSource]: + if not coords: + return [] + ids, arr = _coord_array(coords, graph.num_detectors) + if len(ids) == 0: + return [] + dims = [a for a in range(arr.shape[1]) if not np.all(np.isnan(arr[:, a]))][:3] + filled = np.nan_to_num(arr[:, dims], nan=0.0) + lo, hi = filled.min(axis=0), filled.max(axis=0) + out = [] + for corner_bits in itertools.product((0, 1), repeat=len(dims)): + corner = np.where(np.asarray(corner_bits) == 1, hi, lo) + best = int(ids[int(np.argmin(np.sum((filled - corner) ** 2, axis=1)))]) + label = "corner:" + "".join("+" if b else "-" for b in corner_bits) + out.append(LandmarkSource(frozenset([best]), label)) + return dedupe(out) + + def select(self, graph, coords, meta, k): + return dedupe(self.faces(graph, coords) + self.corners(graph, coords))[:k] + + +class FPS: + """Farthest-point sampling in the graph metric, starting from L and R. + + Repeatedly adds the detector farthest from all current landmarks. Unreachable detectors count + as farthest (one landmark per disconnected piece helps there). ``candidates`` restricts the + detectors that may be chosen; ``initial`` adds extra already-placed landmark sets. + """ + + name = "fps" + + def __init__(self, candidates: Optional[Sequence[int]] = None, initial: Sequence[LandmarkSource] = ()): + self.candidates = None if candidates is None else np.asarray(sorted(set(candidates)), dtype=np.int64) + self.initial = list(initial) + + def params(self): + return {"restricted": self.candidates is not None, "num_candidates": None if self.candidates is None else len(self.candidates)} + + def select(self, graph, coords, meta, k): + n = graph.num_detectors + dist = np.minimum(graph.h_l[:n], graph.h_r[:n]).astype(np.int64) + for s in self.initial: + dist = np.minimum(dist, graph.dijkstra(s.nodes)[:n]) + allowed = np.ones(n, dtype=bool) + if self.candidates is not None: + allowed[:] = False + allowed[self.candidates[self.candidates < n]] = True + out = [] + for i in range(k): + masked = np.where(allowed, dist, -1) + v = int(np.argmax(masked)) + if masked[v] <= 0: + break + out.append(LandmarkSource(frozenset([v]), f"fps:{i}")) + dist = np.minimum(dist, graph.dijkstra([v])[:n]) + allowed[v] = False + return out + + +class GreedyCover: + """Greedy max-cover over hop pairs sampled from real shots (Goldberg & Harrelson, SODA 2005). + + From a candidate pool (``faces_corners`` plus ``fps(pool_factor * k)``), greedily adds the + landmark that most increases the summed lower bound ``sum LB(u, v)`` over hop pairs. Hop + pairs come from ``meta["hop_pairs"]`` (an (m, 2) array of detector ids) or are sampled by + decoding ``num_shots`` shots of ``meta["dem"]`` with an ``fps`` index and collecting the hops + of the returned walks. + """ + + name = "greedy_cover" + + def __init__(self, pool_factor: int = 4, num_shots: int = 2000, seed: int = 0): + self.pool_factor = pool_factor + self.num_shots = num_shots + self.seed = seed + + def params(self): + return {"pool_factor": self.pool_factor, "num_shots": self.num_shots, "seed": self.seed} + + def sample_hop_pairs(self, meta) -> np.ndarray: + if "hop_pairs" in meta: + return np.asarray(meta["hop_pairs"], dtype=np.int64).reshape(-1, 2) + if "dem" not in meta: + raise ValueError("greedy_cover needs meta['hop_pairs'] or meta['dem'] to sample hop pairs") + from fastgap.decoder import GapDecoder + from fastgap.index import GapIndex + + dem = meta["dem"] + tmp = GapIndex.from_dem(dem, observable=meta.get("observable", 0), strategy="fps", + num_landmarks=meta.get("num_landmarks", 16)) + dec = GapDecoder(tmp) + sampler = dem.compile_sampler(seed=self.seed) + dets, _, _ = sampler.sample(self.num_shots) + pairs = [] + for row in dets: + r = dec.decode(row, keep_walk=True) + for a, b, _, exact in r.walk: + if a >= 0 and b >= 0 and not exact: + pairs.append((a, b)) + return np.asarray(pairs, dtype=np.int64).reshape(-1, 2) + + def select(self, graph, coords, meta, k): + pairs = self.sample_hop_pairs(meta) + pool = dedupe(FacesCorners().select(graph, coords, meta, 10 ** 6) + FPS().select(graph, coords, meta, self.pool_factor * k)) + if len(pairs) == 0: + return pool[:k] + u, v = pairs[:, 0], pairs[:, 1] + + def lb_of(h): + hu, hv = h[u], h[v] + both_inf = (hu >= DIST_INF // 2) & (hv >= DIST_INF // 2) + return np.where(both_inf, 0, np.abs(hu - hv)) + + current = np.maximum(lb_of(graph.h_l), lb_of(graph.h_r)) + cand_lb = [lb_of(graph.dijkstra(s.nodes)) for s in pool] + chosen = [] + remaining = list(range(len(pool))) + for _ in range(min(k, len(pool))): + gains = [np.sum(np.maximum(current, cand_lb[i]) - current) for i in remaining] + j = int(np.argmax(gains)) + if gains[j] <= 0: + break + i = remaining.pop(j) + chosen.append(pool[i]) + current = np.maximum(current, cand_lb[i]) + return chosen + + +class Grafted: + """Magic-state-cultivation escape DEM (CLAUDE.md §7.3). + + Landmark sets on: the virtual pair ("doublet") nodes (as one set, and optionally per colour), + the time slice where the code switches from grafted to matchable, the first and last rounds, + the surface-code faces; then the rest of the budget is filled with ``fps`` restricted to the + irregular region. + + Inputs (all optional) come from ``meta``: ``virtual_nodes`` (a list of ids, or a dict colour + -> ids), ``switch_time`` (time coordinate of the switch slice) and ``irregular_region`` + (detector ids). Without them, detectors whose coordinates have a 5th entry are taken as + virtual pair nodes, grouped by that entry as their colour, and the irregular region is every + detector inside their coordinate bounding box grown by ``region_margin``. + """ + + name = "grafted" + + def __init__(self, per_colour: bool = True, region_margin: float = 2.0): + self.per_colour = per_colour + self.region_margin = region_margin + + def params(self): + return {"per_colour": self.per_colour, "region_margin": self.region_margin} + + @staticmethod + def virtual_groups(coords, meta) -> Dict[str, List[int]]: + v = meta.get("virtual_nodes") + if isinstance(v, dict): + return {str(c): sorted(int(x) for x in ids) for c, ids in v.items()} + if v is not None: + return {"all": sorted(int(x) for x in v)} + groups: Dict[str, List[int]] = {} + for d, c in (coords or {}).items(): + if len(c) >= 5: + groups.setdefault(f"{c[4]:g}", []).append(int(d)) + return groups + + def select(self, graph, coords, meta, k): + groups = self.virtual_groups(coords, meta) + virtual = sorted({x for ids in groups.values() for x in ids}) + out: List[LandmarkSource] = [] + if virtual: + out.append(LandmarkSource(frozenset(virtual), "virtual:all")) + if self.per_colour and len(groups) > 1: + for c, ids in sorted(groups.items()): + out.append(LandmarkSource(frozenset(ids), f"virtual:{c}")) + ids, arr = _coord_array(coords or {}, graph.num_detectors) + t_axis = _time_axis(arr.shape[1]) if len(ids) else None + if t_axis is not None and "switch_time" in meta: + sel = np.isclose(arr[:, t_axis], float(meta["switch_time"])) + out.append(LandmarkSource(frozenset(ids[sel].tolist()), "slice:switch")) + out += Faces().faces(graph, coords) + out = dedupe(out)[:k] + + region = meta.get("irregular_region") + if region is None and virtual and len(ids): + pos = {int(d): arr[i] for i, d in enumerate(ids)} + vpos = np.asarray([np.nan_to_num(pos[v][:3]) for v in virtual if v in pos]) + if len(vpos): + lo = vpos.min(axis=0) - self.region_margin + hi = vpos.max(axis=0) + self.region_margin + filled = np.nan_to_num(arr[:, : vpos.shape[1]]) + inside = np.all((filled >= lo) & (filled <= hi), axis=1) + region = ids[inside].tolist() + if len(out) < k: + out += FPS(candidates=region, initial=out).select(graph, coords, meta, k - len(out)) + return dedupe(out)[:k] + + +class Phenomenological(FacesCorners): + """Inner patches for qLDPC concatenation: a uniform L1 lattice, where ``faces_corners`` is + usually already near-exact (confirm with the tightness report).""" + + name = "phenomenological" + + +def looks_like_cultivation(coords, meta) -> bool: + if meta.get("virtual_nodes") is not None: + return True + return any(len(c) >= 5 for c in (coords or {}).values()) + + +def looks_like_regular_lattice(graph: InteriorGraph, coords) -> bool: + if not coords: + return False + have = sum(1 for d in range(graph.num_detectors) if d in coords and len(coords[d]) >= 2) + return have == graph.num_detectors and graph.num_detectors > 0 diff --git a/src/pymatching/fastgap/canonical.cc b/src/pymatching/fastgap/canonical.cc new file mode 100644 index 000000000..263e70f77 --- /dev/null +++ b/src/pymatching/fastgap/canonical.cc @@ -0,0 +1,333 @@ +// Copyright 2026 fastgap contributors +// +// Licensed under the Apache License, Version 2.0 (the "License"); +// you may not use this file except in compliance with the License. +// You may obtain a copy of the License at +// +// http://www.apache.org/licenses/LICENSE-2.0 +// +// Unless required by applicable law or agreed to in writing, software +// distributed under the License is distributed on an "AS IS" BASIS, +// WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +// See the License for the specific language governing permissions and +// limitations under the License. + +#include "pymatching/fastgap/canonical.h" + +#include +#include +#include + +namespace pm { +namespace fastgap { + +namespace { + +/// One graphlike piece of an error instruction (the targets between two separators). +struct RawComponent { + std::vector dets; + std::vector observables; // in order, possibly repeated + bool obs_k = false; // parity of observable k in this component +}; + +std::vector split_components(const stim::DemInstruction& instruction, size_t observable) { + std::vector out(1); + for (const auto& t : instruction.target_data) { + if (t.is_separator()) { + out.emplace_back(); + } else if (t.is_relative_detector_id()) { + out.back().dets.push_back(t.val()); + } else if (t.is_observable_id()) { + out.back().observables.push_back(t.val()); + if (t.val() == observable) + out.back().obs_k ^= true; + } + } + return out; +} + +std::string edge_name(uint64_t u, uint64_t v) { + if (v == UINT64_MAX) + return "(D" + std::to_string(u) + ", boundary)"; + return "(D" + std::to_string(u) + ", D" + std::to_string(v) + ")"; +} + +/// Shared parallel-edge check (CLAUDE.md §2.3 step 4). Keys are (u, v) with u < v, or (u, MAX) +/// for a boundary edge at u. +struct ParallelEdgeChecker { + std::map, bool> seen; + void add(uint64_t u, uint64_t v, bool obs_prime) { + if (v != UINT64_MAX && u > v) + std::swap(u, v); + auto [it, inserted] = seen.emplace(std::make_pair(u, v), obs_prime); + if (!inserted && it->second != obs_prime) { + if (v == UINT64_MAX) { + throw ParallelEdgeConflictError( + "Detector D" + std::to_string(u) + + " has boundary edges on both sides L and R of the gauge-fixed observable. This is a local " + "weight-2 logical (PyMatching would merge both into one boundary edge, so the code has " + "distance 2), which fastgap does not support."); + } + throw ParallelEdgeConflictError( + "Parallel error mechanisms on edge " + edge_name(u, v) + + " differ in the gauge-fixed observable. This is a local weight-2 logical (the code has " + "distance 2), which fastgap does not support."); + } + } +}; + +} // namespace + +size_t GraphSpec::baseline_obs_detector() const { + if (kind == FROM_REFERENCE_EDGES) + return ref_obs_detector; + return num_detectors; +} + +GraphSpec canonicalize_dem(const stim::DetectorErrorModel& dem, size_t observable) { + GraphSpec spec; + spec.kind = GraphSpec::FROM_DEM; + stim::DetectorErrorModel flat = dem.flattened(); + spec.num_detectors = flat.count_detectors(); + spec.num_observables = flat.count_observables(); + spec.observable = observable; + if (observable >= spec.num_observables && spec.num_observables > 0) + throw std::invalid_argument( + "observable index " + std::to_string(observable) + " is out of range: the DEM has " + + std::to_string(spec.num_observables) + " observables."); + if (spec.num_observables == 0) + throw std::invalid_argument("The DEM has no observables, so there is no logical gap to compute."); + if (spec.num_observables > 64) + throw std::invalid_argument("fastgap v1 supports at most 64 observables."); + + // Pass 1: collect the interior edges with their obs_k parity (step 1). + size_t n = spec.num_detectors; + std::vector>> adj(n); + for (const auto& instruction : flat.instructions) { + if (instruction.type != stim::DemInstructionType::DEM_ERROR) + continue; + double p = instruction.arg_data[0]; + if (p > 0.5) + throw std::invalid_argument( + "fastgap v1 does not support negative edge weights, but the DEM has an error with probability " + + std::to_string(p) + " > 0.5."); + if (!(p > 0)) + continue; // PyMatching ignores these + for (auto& c : split_components(instruction, observable)) { + if (c.dets.size() == 2) { + if (c.dets[0] == c.dets[1]) + throw std::invalid_argument( + "Error component with a repeated detector D" + std::to_string(c.dets[0]) + + " (a self-loop) is not supported."); + adj[c.dets[0]].push_back({c.dets[1], c.obs_k}); + adj[c.dets[1]].push_back({c.dets[0], c.obs_k}); + } else if (c.dets.size() > 2) { + spec.num_hyperedges_ignored++; + } + } + } + + // BFS 2-colouring so that obs_k(u, v) = s(u) XOR s(v) on every interior edge (steps 1 and 2). + spec.gauge.assign(n, 0); + std::vector visited(n, 0); + std::deque queue; + for (uint64_t root = 0; root < n; root++) { + if (visited[root]) + continue; + visited[root] = 1; + queue.push_back(root); + while (!queue.empty()) { + uint64_t x = queue.front(); + queue.pop_front(); + for (auto [y, bit] : adj[x]) { + uint8_t want = spec.gauge[x] ^ bit; + if (!visited[y]) { + visited[y] = 1; + spec.gauge[y] = want; + queue.push_back(y); + } else if (spec.gauge[y] != want) { + throw BoundarylessLogicalError( + "Observable L" + std::to_string(observable) + + " can be flipped by a closed loop of interior errors that never touches a boundary (an " + "odd-parity cycle through D" + + std::to_string(x) + " and D" + std::to_string(y) + + "). The code has a logical that is not a boundary-to-boundary chain (e.g. a toroidal " + "code), which fastgap v1 does not support."); + } + } + } + } + + // Pass 2: relabel (step 3), check parallel edges (step 4), and write the canonical DEM. + ParallelEdgeChecker checker; + std::vector targets; + for (const auto& instruction : flat.instructions) { + if (instruction.type != stim::DemInstructionType::DEM_ERROR) { + spec.canonical_dem.append_dem_instruction(instruction); + continue; + } + double p = instruction.arg_data[0]; + auto components = split_components(instruction, observable); + targets.clear(); + for (size_t ci = 0; ci < components.size(); ci++) { + auto& c = components[ci]; + if (ci > 0) + targets.push_back(stim::DemTarget::separator()); + for (auto d : c.dets) + targets.push_back(stim::DemTarget::relative_detector_id(d)); + bool graphlike = c.dets.size() == 1 || c.dets.size() == 2; + bool obs_prime = c.obs_k; + if (graphlike) { + // Interior edges get obs'_k = 0; a boundary edge at u gets obs_k(u, b) XOR s(u). + for (auto d : c.dets) + obs_prime ^= (bool)spec.gauge[d]; + if (p > 0) { + if (c.dets.size() == 2) { + if (obs_prime) + throw std::logic_error("gauge fixing left observable k on an interior edge"); + checker.add(c.dets[0], c.dets[1], false); + } else { + checker.add(c.dets[0], UINT64_MAX, obs_prime); + } + } + } + // Components with 0 or > 2 detectors are dropped by PyMatching's decoder; their labels + // are left untouched (a detector-free component has no gauge shift anyway). + for (auto o : c.observables) { + if (o != observable) + targets.push_back(stim::DemTarget::observable_id(o)); + } + if (obs_prime) + targets.push_back(stim::DemTarget::observable_id(observable)); + } + spec.canonical_dem.append_error_instruction(p, targets, instruction.tag); + } + + if (spec.canonical_dem.count_detectors() != spec.num_detectors) + throw std::logic_error("canonical DEM changed the number of detectors"); + if (spec.canonical_dem.count_observables() < spec.num_observables) + spec.canonical_dem.append_logical_observable_instruction( + stim::DemTarget::observable_id(spec.num_observables - 1), ""); + return spec; +} + +GraphSpec spec_from_reference_edges(size_t num_detectors, size_t obs_detector, std::vector edges) { + GraphSpec spec; + spec.kind = GraphSpec::FROM_REFERENCE_EDGES; + spec.num_detectors = num_detectors; + spec.num_observables = 1; + spec.observable = 0; + spec.gauge.assign(num_detectors, 0); + spec.ref_obs_detector = obs_detector; + if (obs_detector >= num_detectors) + throw std::invalid_argument("obs_detector must be a detector of the reference graph."); + ParallelEdgeChecker checker; + for (auto& e : edges) { + if (e.u == SIZE_MAX && e.v == SIZE_MAX) + continue; + if (e.u >= num_detectors || (e.v != SIZE_MAX && e.v >= num_detectors)) + throw std::invalid_argument("reference edge refers to a detector outside the graph"); + if (e.u == obs_detector || e.v == obs_detector) + throw std::invalid_argument( + "reference edges must already be converted to the L/R model (no edge may touch obs_detector)"); + if (e.weight < 0) + throw std::invalid_argument("fastgap v1 does not support negative edge weights."); + if (e.v == SIZE_MAX) { + checker.add(e.u, UINT64_MAX, e.side_l); + } else { + checker.add(e.u, e.v, false); + } + } + spec.ref_edges = std::move(edges); + return spec; +} + +stim::DetectorErrorModel make_baseline_dem(const GraphSpec& spec) { + if (spec.kind != GraphSpec::FROM_DEM) + throw std::invalid_argument("make_baseline_dem requires a DEM-derived GraphSpec"); + size_t obs_det = spec.baseline_obs_detector(); + stim::DetectorErrorModel out; + std::vector targets; + for (const auto& instruction : spec.canonical_dem.instructions) { + if (instruction.type == stim::DemInstructionType::DEM_DETECTOR) { + out.append_dem_instruction(instruction); + continue; + } + if (instruction.type != stim::DemInstructionType::DEM_ERROR) + continue; // logical_observable declarations are dropped with the observables + targets.clear(); + bool first = true; + for (auto& c : split_components(instruction, spec.observable)) { + if (!first) + targets.push_back(stim::DemTarget::separator()); + first = false; + for (auto d : c.dets) + targets.push_back(stim::DemTarget::relative_detector_id(d)); + if (c.obs_k) + targets.push_back(stim::DemTarget::relative_detector_id(obs_det)); + } + out.append_error_instruction(instruction.arg_data[0], targets, instruction.tag); + } + std::vector no_coords; + out.append_detector_instruction(no_coords, stim::DemTarget::relative_detector_id(obs_det), ""); + return out; +} + +pm::UserGraph make_decode_user_graph(const GraphSpec& spec) { + if (spec.kind == GraphSpec::FROM_DEM) + return pm::detector_error_model_to_user_graph(spec.canonical_dem, false, pm::NUM_DISTINCT_WEIGHTS); + pm::UserGraph g(spec.num_detectors, 1); + for (auto& e : spec.ref_edges) { + if (e.u == SIZE_MAX) { + // Keep the detector-free L-R edge where the reference graph has it (a boundary edge of + // the observable detector, which is never a defect here), so both graphs share the + // same heaviest edge and therefore the same internal units. + g.add_or_merge_boundary_edge(spec.ref_obs_detector, {}, e.weight, e.error_probability, pm::INDEPENDENT); + continue; + } + if (e.v == SIZE_MAX) { + std::vector obs; + if (e.side_l) + obs.push_back(0); + g.add_or_merge_boundary_edge(e.u, obs, e.weight, e.error_probability, pm::INDEPENDENT); + } else { + g.add_or_merge_edge(e.u, e.v, {}, e.weight, e.error_probability, pm::INDEPENDENT); + } + } + g.loaded_from_dem_without_correlations = true; + return g; +} + +pm::UserGraph make_baseline_user_graph(const GraphSpec& spec) { + if (spec.kind == GraphSpec::FROM_DEM) + return pm::detector_error_model_to_user_graph(make_baseline_dem(spec), false, pm::NUM_DISTINCT_WEIGHTS); + size_t obs_det = spec.baseline_obs_detector(); + pm::UserGraph g(spec.num_detectors, 0); + for (auto& e : spec.ref_edges) { + if (e.u == SIZE_MAX) { + g.add_or_merge_boundary_edge(obs_det, {}, e.weight, e.error_probability, pm::INDEPENDENT); + } else if (e.v == SIZE_MAX) { + if (e.side_l) { + g.add_or_merge_edge(e.u, obs_det, {}, e.weight, e.error_probability, pm::INDEPENDENT); + } else { + g.add_or_merge_boundary_edge(e.u, {}, e.weight, e.error_probability, pm::INDEPENDENT); + } + } else { + g.add_or_merge_edge(e.u, e.v, {}, e.weight, e.error_probability, pm::INDEPENDENT); + } + } + g.loaded_from_dem_without_correlations = true; + return g; +} + +uint8_t gauge_shift(const GraphSpec& spec, const std::vector& detection_events) { + uint8_t s = 0; + for (auto d : detection_events) { + if (d < spec.gauge.size()) + s ^= spec.gauge[d]; + } + return s; +} + +} // namespace fastgap +} // namespace pm diff --git a/src/pymatching/fastgap/canonical.h b/src/pymatching/fastgap/canonical.h new file mode 100644 index 000000000..e34fe12ef --- /dev/null +++ b/src/pymatching/fastgap/canonical.h @@ -0,0 +1,103 @@ +// Copyright 2026 fastgap contributors +// +// Licensed under the Apache License, Version 2.0 (the "License"); +// you may not use this file except in compliance with the License. +// You may obtain a copy of the License at +// +// http://www.apache.org/licenses/LICENSE-2.0 +// +// Unless required by applicable law or agreed to in writing, software +// distributed under the License is distributed on an "AS IS" BASIS, +// WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +// See the License for the specific language governing permissions and +// limitations under the License. + +#ifndef PYMATCHING2_FASTGAP_CANONICAL_H +#define PYMATCHING2_FASTGAP_CANONICAL_H + +#include +#include +#include + +#include "pymatching/sparse_blossom/driver/user_graph.h" +#include "stim.h" + +namespace pm { +namespace fastgap { + +/// Raised when observable k can be flipped by a closed loop of interior edges (CLAUDE.md §2.3 step 2). +struct BoundarylessLogicalError : std::invalid_argument { + explicit BoundarylessLogicalError(const std::string& what) : std::invalid_argument(what) { + } +}; + +/// Raised when two raw mechanisms on the same detectors differ in obs'_k (CLAUDE.md §2.3 step 4). +struct ParallelEdgeConflictError : std::invalid_argument { + explicit ParallelEdgeConflictError(const std::string& what) : std::invalid_argument(what) { + } +}; + +/// One edge of an externally supplied reference graph (CLAUDE.md §7.3), already in the L/R model. +/// `u == SIZE_MAX && v == SIZE_MAX` is a detector-free L–R mechanism (an edge from the observable +/// detector straight to the boundary). +struct RefEdge { + size_t u; + size_t v; // SIZE_MAX means a boundary edge at u + bool side_l; // only meaningful for boundary edges + double weight; + double error_probability; +}; + +/// The canonicalised description of one (DEM, observable) pair. Every consumer (decode graph, +/// index, exact baseline) is built from this one object, so they all see identical edges, +/// weights and internal units. +struct GraphSpec { + enum Kind : uint8_t { FROM_DEM = 0, FROM_REFERENCE_EDGES = 1 }; + Kind kind = FROM_DEM; + size_t num_detectors = 0; + /// Number of observables of the decode graph (the size of the prediction vector). + size_t num_observables = 0; + /// The observable index k whose gap is computed. + size_t observable = 0; + /// Gauge bits s(x): obs'_k(E) = obs_k(E) XOR (XOR_{x in D} s(x)). + std::vector gauge; + + /// FROM_DEM: the canonical DEM (observable k only on boundary edges). + stim::DetectorErrorModel canonical_dem; + /// FROM_REFERENCE_EDGES: the reference edges, plus the detector that played the role of the + /// observable in the reference DEM. Detection events on that detector are ignored. + std::vector ref_edges; + size_t ref_obs_detector = SIZE_MAX; + + /// Number of raw components with more than two detectors (PyMatching drops these). + size_t num_hyperedges_ignored = 0; + + /// Index of the extra detector that represents observable k in the exact baseline graph. + size_t baseline_obs_detector() const; +}; + +/// Canonicalise observable `observable` of `dem` onto the boundary (CLAUDE.md §2.3). +/// Works on the raw (flattened) error list, not on PyMatching's merged graph. +GraphSpec canonicalize_dem(const stim::DetectorErrorModel& dem, size_t observable); + +/// Build a GraphSpec from the edges PyMatching keeps for a reference DEM (CLAUDE.md §7.3). +/// Runs the parallel-edge check. Gauge bits are all zero. +GraphSpec spec_from_reference_edges(size_t num_detectors, size_t obs_detector, std::vector edges); + +/// The DEM used by the exact two-decode baseline: observable k becomes detector +/// `spec.baseline_obs_detector()`; all observables are dropped. FROM_DEM only. +stim::DetectorErrorModel make_baseline_dem(const GraphSpec& spec); + +/// The UserGraph fastgap decodes on (built exactly as upstream builds it from a DEM). +pm::UserGraph make_decode_user_graph(const GraphSpec& spec); + +/// The UserGraph of the exact two-decode baseline. +pm::UserGraph make_baseline_user_graph(const GraphSpec& spec); + +/// The gauge shift XOR_{x in D} s(x) for one shot. +uint8_t gauge_shift(const GraphSpec& spec, const std::vector& detection_events); + +} // namespace fastgap +} // namespace pm + +#endif // PYMATCHING2_FASTGAP_CANONICAL_H diff --git a/src/pymatching/fastgap/canonical.test.cc b/src/pymatching/fastgap/canonical.test.cc new file mode 100644 index 000000000..d55584651 --- /dev/null +++ b/src/pymatching/fastgap/canonical.test.cc @@ -0,0 +1,208 @@ +// Copyright 2026 fastgap contributors +// +// Licensed under the Apache License, Version 2.0 (the "License"); +// you may not use this file except in compliance with the License. +// You may obtain a copy of the License at +// +// http://www.apache.org/licenses/LICENSE-2.0 +// +// Unless required by applicable law or agreed to in writing, software +// distributed under the License is distributed on an "AS IS" BASIS, +// WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +// See the License for the specific language governing permissions and +// limitations under the License. + +#include "pymatching/fastgap/canonical.h" + +#include + +#include "pymatching/fastgap/fastgap_test_util.test.h" +#include "pymatching/fastgap/interior_graph.h" + +using namespace pm::fastgap; + +namespace { + +/// Checks that the canonical DEM has observable k only on boundary components. +void expect_observable_only_on_boundary(const GraphSpec& spec) { + spec.canonical_dem.iter_flatten_error_instructions([&](const stim::DemInstruction& e) { + size_t dets = 0; + bool obs = false; + for (auto& t : e.target_data) { + if (t.is_separator()) { + EXPECT_FALSE(dets == 2 && obs); + dets = 0; + obs = false; + } else if (t.is_relative_detector_id()) { + dets++; + } else if (t.is_observable_id() && t.val() == spec.observable) { + obs = !obs; + } + } + EXPECT_FALSE(dets == 2 && obs); + }); +} + +} // namespace + +TEST(FastgapCanonical, GaugeMovesObservableToBoundary) { + std::mt19937_64 rng(5); + for (int trial = 0; trial < 20; trial++) { + auto dem = testutil::random_grid_dem(rng, 4 + trial % 3, 3 + trial % 2); + auto spec = canonicalize_dem(dem, 0); + expect_observable_only_on_boundary(spec); + EXPECT_EQ(spec.num_detectors, dem.count_detectors()); + EXPECT_EQ(spec.canonical_dem.count_detectors(), dem.count_detectors()); + + // The canonical DEM decodes on exactly the same graph as the original, apart from labels. + auto g1 = pm::detector_error_model_to_user_graph(dem, false, pm::NUM_DISTINCT_WEIGHTS); + auto g2 = make_decode_user_graph(spec); + auto m1 = g1.to_matching_graph(pm::NUM_DISTINCT_WEIGHTS); + auto m2 = g2.to_matching_graph(pm::NUM_DISTINCT_WEIGHTS); + ASSERT_EQ(m1.normalising_constant, m2.normalising_constant); + ASSERT_EQ(m1.nodes.size(), m2.nodes.size()); + for (size_t i = 0; i < m1.nodes.size(); i++) + ASSERT_EQ(m1.nodes[i].neighbor_weights, m2.nodes[i].neighbor_weights); + } +} + +TEST(FastgapCanonical, ShiftRelabelsClassesPerShot) { + // obs'(E) = obs(E) XOR (XOR_{x in D} s(x)) for any error set E. + std::mt19937_64 rng(11); + auto dem = testutil::random_grid_dem(rng, 5, 4); + auto spec = canonicalize_dem(dem, 0); + std::vector, uint8_t>> raw, canon; + auto collect = [](const stim::DetectorErrorModel& m, std::vector, uint8_t>>& out) { + m.iter_flatten_error_instructions([&](const stim::DemInstruction& e) { + std::vector dets; + uint8_t o = 0; + for (auto& t : e.target_data) { + if (t.is_relative_detector_id()) + dets.push_back(t.val()); + if (t.is_observable_id() && t.val() == 0) + o ^= 1; + } + out.push_back({dets, o}); + }); + }; + collect(dem, raw); + collect(spec.canonical_dem, canon); + ASSERT_EQ(raw.size(), canon.size()); + for (int trial = 0; trial < 200; trial++) { + std::set syndrome; + uint8_t o_raw = 0, o_canon = 0; + for (size_t i = 0; i < raw.size(); i++) { + if (rng() % 7 == 0) { + for (auto d : raw[i].first) { + if (!syndrome.erase(d)) + syndrome.insert(d); + } + o_raw ^= raw[i].second; + o_canon ^= canon[i].second; + } + } + std::vector events(syndrome.begin(), syndrome.end()); + ASSERT_EQ(o_canon, o_raw ^ gauge_shift(spec, events)); + } +} + +TEST(FastgapCanonical, BoundarylessLogicalRaises) { + // A ring with odd observable parity and no boundary: a toroidal-style logical. + stim::DetectorErrorModel dem(R"DEM( + error(0.1) D0 D1 L0 + error(0.1) D1 D2 + error(0.1) D2 D3 + error(0.1) D3 D0 + )DEM"); + EXPECT_THROW(canonicalize_dem(dem, 0), BoundarylessLogicalError); + // Even parity is fine. + stim::DetectorErrorModel ok(R"DEM( + error(0.1) D0 D1 L0 + error(0.1) D1 D2 L0 + error(0.1) D2 D3 + error(0.1) D3 D0 + error(0.1) D0 + )DEM"); + EXPECT_NO_THROW(canonicalize_dem(ok, 0)); +} + +TEST(FastgapCanonical, ToroidalSurfaceCodeRaises) { + // A 2x2 periodic repetition-like lattice: every cycle around the torus flips L0. + stim::DetectorErrorModel dem(R"DEM( + error(0.1) D0 D1 + error(0.1) D1 D0 L0 + error(0.1) D2 D3 + error(0.1) D3 D2 L0 + error(0.1) D0 D2 + error(0.1) D1 D3 + )DEM"); + EXPECT_THROW(canonicalize_dem(dem, 0), std::invalid_argument); +} + +TEST(FastgapCanonical, ParallelEdgeConflictRaises) { + stim::DetectorErrorModel boundary_both_sides(R"DEM( + error(0.1) D0 L0 + error(0.1) D0 + error(0.1) D0 D1 + error(0.1) D1 + )DEM"); + EXPECT_THROW(canonicalize_dem(boundary_both_sides, 0), ParallelEdgeConflictError); + stim::DetectorErrorModel interior(R"DEM( + error(0.1) D0 D1 L0 + error(0.1) D1 D0 + error(0.1) D0 + error(0.1) D1 + )DEM"); + // The two parallel mechanisms form an odd cycle D0-D1-D0: also a weight-2 logical. + EXPECT_THROW(canonicalize_dem(interior, 0), std::invalid_argument); +} + +TEST(FastgapCanonical, NegativeWeightsRaise) { + stim::DetectorErrorModel dem(R"DEM( + error(0.6) D0 L0 + error(0.1) D0 D1 + error(0.1) D1 + )DEM"); + EXPECT_THROW(canonicalize_dem(dem, 0), std::invalid_argument); +} + +TEST(FastgapCanonical, HyperedgesAndDecomposition) { + stim::DetectorErrorModel dem(R"DEM( + error(0.1) D0 D1 D2 + error(0.1) D0 D1 L0 ^ D2 + error(0.1) D0 + error(0.1) D2 + error(0.1) D1 D2 + )DEM"); + auto spec = canonicalize_dem(dem, 0); + EXPECT_EQ(spec.num_hyperedges_ignored, 1u); + expect_observable_only_on_boundary(spec); + // The baseline graph shares internal units with the decode graph. + auto b = make_baseline_user_graph(spec).to_matching_graph(pm::NUM_DISTINCT_WEIGHTS); + auto g = make_decode_user_graph(spec).to_matching_graph(pm::NUM_DISTINCT_WEIGHTS); + EXPECT_EQ(b.normalising_constant, g.normalising_constant); + EXPECT_EQ(b.nodes.size(), g.nodes.size() + 1); +} + +TEST(FastgapCanonical, RepeatBlocksAndShifts) { + auto dem = testutil::surface_code_dem(3, 3, 0.01, "rotated_memory_x"); + auto spec = canonicalize_dem(dem, 0); + expect_observable_only_on_boundary(spec); + EXPECT_EQ(spec.num_detectors, dem.count_detectors()); + auto g1 = pm::detector_error_model_to_user_graph(dem, false, pm::NUM_DISTINCT_WEIGHTS); + auto g2 = make_decode_user_graph(spec); + EXPECT_EQ( + g1.to_matching_graph(pm::NUM_DISTINCT_WEIGHTS).normalising_constant, + g2.to_matching_graph(pm::NUM_DISTINCT_WEIGHTS).normalising_constant); +} + +TEST(FastgapCanonical, ReferenceEdgesParallelCheck) { + std::vector edges = { + {0, SIZE_MAX, true, 1.0, 0.1}, + {0, 1, false, 1.0, 0.1}, + {1, SIZE_MAX, false, 1.0, 0.1}, + }; + EXPECT_NO_THROW(spec_from_reference_edges(3, 2, edges)); + edges.push_back({0, SIZE_MAX, false, 1.0, 0.1}); + EXPECT_THROW(spec_from_reference_edges(3, 2, edges), ParallelEdgeConflictError); +} diff --git a/src/pymatching/fastgap/dual_state.cc b/src/pymatching/fastgap/dual_state.cc new file mode 100644 index 000000000..e0b329402 --- /dev/null +++ b/src/pymatching/fastgap/dual_state.cc @@ -0,0 +1,175 @@ +// Copyright 2026 fastgap contributors +// +// Licensed under the Apache License, Version 2.0 (the "License"); +// you may not use this file except in compliance with the License. +// You may obtain a copy of the License at +// +// http://www.apache.org/licenses/LICENSE-2.0 +// +// Unless required by applicable law or agreed to in writing, software +// distributed under the License is distributed on an "AS IS" BASIS, +// WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +// See the License for the specific language governing permissions and +// limitations under the License. + +#include "pymatching/fastgap/dual_state.h" + +#include + +#include "pymatching/sparse_blossom/driver/mwpm_decoding.h" + +namespace pm { +namespace fastgap { + +void DualState::clear() { + defects.clear(); + y_leaf.clear(); + rho.clear(); + anc_offset.assign(1, 0); + anc_blossom.clear(); + anc_prefix.clear(); + y_blossom.clear(); + blossom_depth.clear(); + mate.clear(); + w_star = 0; + obs_mask = 0; +} + +namespace { + +dist_int frozen_radius(const pm::GraphFillRegion* region, pm::cumulative_time_int now) { + if (!region->radius.is_frozen()) + throw InvariantViolation("region is not frozen after sparse blossom finished"); + dist_int y = region->radius.get_distance_at_time(now); + if (y != region->radius.y_intercept()) + throw InvariantViolation("frozen region radius differs from its y-intercept"); + if (y < 0) + throw InvariantViolation("negative region radius"); + return y; +} + +} // namespace + +void extract_dual_state( + pm::Mwpm& mwpm, + const std::vector& detection_events, + size_t observable, + DualState& out, + DualStateScratch& scratch) { + if (!mwpm.flooder.negative_weight_detection_events.empty() || mwpm.flooder.negative_weight_sum != 0) + throw std::invalid_argument("fastgap v1 does not support graphs with negative edge weights."); + + out.clear(); + auto& graph = mwpm.flooder.graph; + if (scratch.defect_of_node.size() != graph.nodes.size()) + scratch.defect_of_node.assign(graph.nodes.size(), -1); + scratch.blossom_ids.clear(); + auto release = [&]() { + for (auto d : out.defects) + scratch.defect_of_node[d] = -1; + }; + + // Validate and index the defects before flooding, so that a bad shot never leaves the Mwpm + // half-processed. + for (auto d : detection_events) { + if (d >= graph.nodes.size()) { + release(); + throw std::invalid_argument( + "The detection event with index " + std::to_string(d) + + " does not correspond to a node in the graph, which only has " + std::to_string(graph.nodes.size()) + + " nodes."); + } + if (!(d + 1 > graph.is_user_graph_boundary_node.size() || !graph.is_user_graph_boundary_node[d])) + continue; // upstream skips detection events on user-declared boundary nodes + if (scratch.defect_of_node[d] != -1) { + release(); + throw std::invalid_argument("duplicate detection event D" + std::to_string(d)); + } + scratch.defect_of_node[d] = (int32_t)out.defects.size(); + out.defects.push_back((uint32_t)d); + } + try { + process_timeline_until_completion(mwpm, detection_events); + } catch (...) { + release(); + throw; + } + pm::cumulative_time_int now = mwpm.flooder.queue.cur_time; + + // Walk each defect's leaf -> blossom_parent chain before anything is shattered. + dist_int total = 0; + for (size_t i = 0; i < out.defects.size(); i++) { + uint32_t d = out.defects[i]; + const pm::DetectorNode& node = graph.nodes[d]; + const pm::GraphFillRegion* leaf = node.region_that_arrived; + // The source node of a detection event stays owned by its own leaf region for the whole + // decode; the checks below fail loudly if that ever stops being true. + if (leaf == nullptr || !leaf->blossom_children.empty() || node.reached_from_source != &node) + throw InvariantViolation("defect node is not owned by its own leaf region after flooding"); + dist_int y = frozen_radius(leaf, now); + out.y_leaf.push_back(y); + total += y; + + scratch.chain.clear(); + for (auto r = leaf->blossom_parent; r != nullptr; r = r->blossom_parent) + scratch.chain.push_back(r); + const pm::GraphFillRegion* top = scratch.chain.empty() ? leaf : scratch.chain.back(); + if (node.region_that_arrived_top != top) + throw InvariantViolation("region_that_arrived_top disagrees with the blossom_parent chain"); + + dist_int rho = y; + for (size_t k = scratch.chain.size(); k-- > 0;) { + const pm::GraphFillRegion* b = scratch.chain[k]; + auto [it, inserted] = scratch.blossom_ids.emplace(b, (int32_t)out.y_blossom.size()); + int32_t depth = (int32_t)(scratch.chain.size() - 1 - k); + if (inserted) { + dist_int yb = frozen_radius(b, now); + out.y_blossom.push_back(yb); + out.blossom_depth.push_back(depth); + total += yb; + } else if (out.blossom_depth[it->second] != depth) { + throw InvariantViolation("inconsistent blossom depth"); + } + rho += out.y_blossom[it->second]; + out.anc_blossom.push_back(it->second); + out.anc_prefix.push_back(rho - y); + } + out.anc_offset.push_back((uint32_t)out.anc_blossom.size()); + out.rho.push_back(rho); + } + out.w_star = total; + + // Shatter with the upstream routine to get the matching. + mwpm.flooder.match_edges.clear(); + shatter_blossoms_for_all_detection_events_and_extract_match_edges(mwpm, detection_events); + + size_t n = out.defects.size(); + out.mate.assign(n, INT32_MIN); + pm::obs_int bit = (pm::obs_int)1 << observable; + const pm::DetectorNode* base = graph.nodes.data(); + for (const auto& e : mwpm.flooder.match_edges) { + int32_t i = scratch.defect_of_node[e.loc_from - base]; + if (i < 0 || out.mate[i] != INT32_MIN) + throw InvariantViolation("match edge does not start at an unmatched defect"); + out.obs_mask ^= e.obs_mask; + if (e.loc_to == nullptr) { + out.mate[i] = (e.obs_mask & bit) ? MATE_L : MATE_R; + } else { + int32_t j = scratch.defect_of_node[e.loc_to - base]; + if (j < 0 || out.mate[j] != INT32_MIN) + throw InvariantViolation("match edge does not end at an unmatched defect"); + if (e.obs_mask & bit) + throw InvariantViolation("defect-defect relay crosses the gauge-fixed observable"); + out.mate[i] = j; + out.mate[j] = i; + } + } + release(); + for (size_t i = 0; i < n; i++) { + if (out.mate[i] == INT32_MIN) + throw InvariantViolation("defect left unmatched after shattering"); + } +} + +} // namespace fastgap +} // namespace pm diff --git a/src/pymatching/fastgap/dual_state.h b/src/pymatching/fastgap/dual_state.h new file mode 100644 index 000000000..d0f1ac3f5 --- /dev/null +++ b/src/pymatching/fastgap/dual_state.h @@ -0,0 +1,98 @@ +// Copyright 2026 fastgap contributors +// +// Licensed under the Apache License, Version 2.0 (the "License"); +// you may not use this file except in compliance with the License. +// You may obtain a copy of the License at +// +// http://www.apache.org/licenses/LICENSE-2.0 +// +// Unless required by applicable law or agreed to in writing, software +// distributed under the License is distributed on an "AS IS" BASIS, +// WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +// See the License for the specific language governing permissions and +// limitations under the License. + +#ifndef PYMATCHING2_FASTGAP_DUAL_STATE_H +#define PYMATCHING2_FASTGAP_DUAL_STATE_H + +#include +#include + +#include "pymatching/fastgap/types.h" +#include "pymatching/sparse_blossom/matcher/mwpm.h" + +namespace pm { +namespace fastgap { + +/// The decoder's final dual state and matching (CLAUDE.md §2.4), read before shattering. +struct DualState { + /// Detector id of each defect, in detection-event order (events on user boundary nodes skipped). + std::vector defects; + std::vector y_leaf; + /// rho_v = y_v + sum over blossoms S containing v of y_S. + std::vector rho; + /// Ancestor blossoms of each defect, ordered from the top-level blossom down to the leaf's + /// immediate parent, so common ancestors of two defects form a common prefix. CSR layout. + std::vector anc_offset; + std::vector anc_blossom; + /// anc_prefix[anc_offset[i] + j] = sum of y over the first j + 1 ancestors of defect i. + std::vector anc_prefix; + std::vector y_blossom; + std::vector blossom_depth; // 0 = top level + /// mate[i]: index of the defect matched to defect i, or MATE_L / MATE_R. + std::vector mate; + /// W* = sum of all y in internal units. + dist_int w_star = 0; + /// XOR of the observable masks of all match edges (canonical labels). + pm::obs_int obs_mask = 0; + + size_t num_defects() const { + return defects.size(); + } + size_t num_blossoms() const { + return y_blossom.size(); + } + int32_t top_blossom(size_t i) const { + return anc_offset[i] == anc_offset[i + 1] ? -1 : anc_blossom[anc_offset[i]]; + } + /// beta(i, j): summed y_S over blossoms containing both defects. + inline dist_int beta(size_t i, size_t j) const { + uint32_t a = anc_offset[i], ae = anc_offset[i + 1]; + uint32_t b = anc_offset[j], be = anc_offset[j + 1]; + if (a == ae || b == be || anc_blossom[a] != anc_blossom[b]) + return 0; // fast path: different (or no) top-level blossoms + uint32_t k = 0; + while (a + k + 1 < ae && b + k + 1 < be && anc_blossom[a + k + 1] == anc_blossom[b + k + 1]) + k++; + return anc_prefix[a + k]; + } + /// r(i) = rho_i - beta(i, mate(i)), so that dist(i, mate(i)) = r(i) + r(mate(i)). + inline dist_int r(size_t i) const { + int32_t m = mate[i]; + return m >= 0 ? rho[i] - beta(i, (size_t)m) : rho[i]; + } + + void clear(); +}; + +/// Reusable per-thread scratch for `extract_dual_state`. +struct DualStateScratch { + std::vector defect_of_node; + std::unordered_map blossom_ids; + std::vector chain; +}; + +/// Runs sparse blossom to completion on `detection_events`, reads the dual state before +/// shattering, then shatters to obtain the matching. `observable` is the gauge-fixed observable +/// whose bit on a boundary match edge means side L. Leaves the Mwpm ready for the next decode. +void extract_dual_state( + pm::Mwpm& mwpm, + const std::vector& detection_events, + size_t observable, + DualState& out, + DualStateScratch& scratch); + +} // namespace fastgap +} // namespace pm + +#endif // PYMATCHING2_FASTGAP_DUAL_STATE_H diff --git a/src/pymatching/fastgap/dual_state.test.cc b/src/pymatching/fastgap/dual_state.test.cc new file mode 100644 index 000000000..852fabc34 --- /dev/null +++ b/src/pymatching/fastgap/dual_state.test.cc @@ -0,0 +1,154 @@ +// Copyright 2026 fastgap contributors +// +// Licensed under the Apache License, Version 2.0 (the "License"); +// you may not use this file except in compliance with the License. +// You may obtain a copy of the License at +// +// http://www.apache.org/licenses/LICENSE-2.0 +// +// Unless required by applicable law or agreed to in writing, software +// distributed under the License is distributed on an "AS IS" BASIS, +// WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +// See the License for the specific language governing permissions and +// limitations under the License. + +#include "pymatching/fastgap/dual_state.h" + +#include + +#include "pymatching/fastgap/fastgap_test_util.test.h" +#include "pymatching/sparse_blossom/driver/mwpm_decoding.h" + +using namespace pm::fastgap; + +namespace { + +/// Checks Sigma y == W* against upstream, the prediction against upstream on the original DEM, +/// relay tightness and all-pairs sigma >= 0 with brute-force Dijkstra. +size_t check_against_upstream(const stim::DetectorErrorModel& dem, size_t shots, uint64_t seed) { + auto idx = GapIndex::create_from_dem(dem.str(), 0); + pm::Mwpm ours = idx->make_mwpm(); + pm::Mwpm upstream = pm::detector_error_model_to_mwpm(dem, pm::NUM_DISTINCT_WEIGHTS); + DualState ds; + DualStateScratch scratch; + std::mt19937_64 rng(seed); + size_t blossom_shots = 0; + for (size_t s = 0; s < shots; s++) { + auto events = testutil::sample_dem(dem, rng); + extract_dual_state(ours, events, 0, ds, scratch); + auto ref = pm::decode_detection_events_for_up_to_64_observables(upstream, events, false); + EXPECT_EQ(ds.w_star, ref.weight); + pm::obs_int shift = gauge_shift(idx->spec, events); + EXPECT_EQ(ds.obs_mask ^ shift, ref.obs_mask); + blossom_shots += ds.num_blossoms() > 0; + + size_t n = ds.num_defects(); + dist_int sum = 0; + for (auto y : ds.y_leaf) + sum += y; + for (auto y : ds.y_blossom) + sum += y; + EXPECT_EQ(sum, ds.w_star); + for (size_t i = 0; i < n; i++) { + auto row = idx->graph.dijkstra({{ds.defects[i], 0}}); + EXPECT_GE(idx->h_l[ds.defects[i]] - ds.rho[i], 0); + EXPECT_GE(idx->h_r[ds.defects[i]] - ds.rho[i], 0); + if (ds.mate[i] == MATE_L) + EXPECT_EQ(idx->h_l[ds.defects[i]], ds.rho[i]); + if (ds.mate[i] == MATE_R) + EXPECT_EQ(idx->h_r[ds.defects[i]], ds.rho[i]); + for (size_t j = 0; j < n; j++) { + if (i == j) + continue; + dist_int d = row[ds.defects[j]]; + dist_int sigma = d - ds.rho[i] - ds.rho[j] + 2 * ds.beta(i, j); + EXPECT_GE(sigma, 0); + EXPECT_EQ(ds.beta(i, j), ds.beta(j, i)); + if (ds.mate[i] == (int32_t)j) { + EXPECT_EQ(sigma, 0); + EXPECT_EQ(d, ds.r(i) + ds.r(j)); + } + } + } + } + return blossom_shots; +} + +} // namespace + +TEST(FastgapDualState, TinyHandExample) { + // D0 -- D1 -- D2 with boundaries at both ends. + stim::DetectorErrorModel dem(R"DEM( + error(0.1) D0 L0 + error(0.1) D0 D1 + error(0.1) D1 D2 + error(0.1) D2 + )DEM"); + auto idx = GapIndex::create_from_dem(dem.str(), 0); + pm::Mwpm mwpm = idx->make_mwpm(); + DualState ds; + DualStateScratch scratch; + extract_dual_state(mwpm, {0, 1}, 0, ds, scratch); + ASSERT_EQ(ds.num_defects(), 2u); + EXPECT_EQ(ds.mate[0], 1); + EXPECT_EQ(ds.mate[1], 0); + EXPECT_EQ(ds.w_star, idx->graph.weights[idx->graph.offsets[0]]); + extract_dual_state(mwpm, {0}, 0, ds, scratch); + EXPECT_EQ(ds.mate[0], MATE_L); + EXPECT_EQ(ds.obs_mask, 1u); + extract_dual_state(mwpm, {}, 0, ds, scratch); + EXPECT_EQ(ds.num_defects(), 0u); + EXPECT_EQ(ds.w_star, 0); +} + +TEST(FastgapDualState, RandomGridsAgainstUpstream) { + std::mt19937_64 rng(17); + size_t blossoms = 0; + for (int trial = 0; trial < 12; trial++) { + auto dem = testutil::random_grid_dem(rng, 5 + trial % 4, 4 + trial % 3, 0.5); + blossoms += check_against_upstream(dem, 150, trial); + } + EXPECT_GT(blossoms, 0u); +} + +TEST(FastgapDualState, SurfaceCodeAgainstUpstream) { + for (auto task : {"rotated_memory_x", "rotated_memory_z"}) { + auto dem = testutil::surface_code_dem(5, 5, 0.01, task); + size_t blossoms = check_against_upstream(dem, 150, 99); + EXPECT_GT(blossoms, 0u); + } +} + +TEST(FastgapDualState, OddComponentWithoutBoundaryPropagates) { + stim::DetectorErrorModel dem(R"DEM( + error(0.1) D0 L0 + error(0.1) D0 D1 + error(0.1) D2 D3 + )DEM"); + auto idx = GapIndex::create_from_dem(dem.str(), 0); + pm::Mwpm mwpm = idx->make_mwpm(); + DualState ds; + DualStateScratch scratch; + EXPECT_THROW(extract_dual_state(mwpm, {2}, 0, ds, scratch), std::invalid_argument); + // The Mwpm remains usable afterwards. + extract_dual_state(mwpm, {2, 3}, 0, ds, scratch); + EXPECT_EQ(ds.mate[0], 1); +} + +TEST(FastgapDualState, BadShotsLeaveMwpmUsable) { + stim::DetectorErrorModel dem(R"DEM( + error(0.1) D0 L0 + error(0.1) D0 D1 + error(0.1) D1 D2 + error(0.1) D2 + )DEM"); + auto idx = GapIndex::create_from_dem(dem.str(), 0); + pm::Mwpm mwpm = idx->make_mwpm(); + DualState ds; + DualStateScratch scratch; + EXPECT_THROW(extract_dual_state(mwpm, {1, 1}, 0, ds, scratch), std::invalid_argument); + EXPECT_THROW(extract_dual_state(mwpm, {0, 7}, 0, ds, scratch), std::invalid_argument); + extract_dual_state(mwpm, {0, 1}, 0, ds, scratch); + EXPECT_EQ(ds.mate[0], 1); + EXPECT_EQ(ds.w_star, idx->graph.weights[idx->graph.offsets[0]]); +} diff --git a/src/pymatching/fastgap/exact.cc b/src/pymatching/fastgap/exact.cc new file mode 100644 index 000000000..e86cc96e1 --- /dev/null +++ b/src/pymatching/fastgap/exact.cc @@ -0,0 +1,147 @@ +// Copyright 2026 fastgap contributors +// +// Licensed under the Apache License, Version 2.0 (the "License"); +// you may not use this file except in compliance with the License. +// You may obtain a copy of the License at +// +// http://www.apache.org/licenses/LICENSE-2.0 +// +// Unless required by applicable law or agreed to in writing, software +// distributed under the License is distributed on an "AS IS" BASIS, +// WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +// See the License for the specific language governing permissions and +// limitations under the License. + +#include "pymatching/fastgap/exact.h" + +#include + +#include "pymatching/fastgap/gap_decoder.h" +#include "pymatching/sparse_blossom/driver/mwpm_decoding.h" + +namespace pm { +namespace fastgap { + +namespace { + +void finish(ExactGap& g, uint8_t shift) { + if (is_inf(g.w_even) && is_inf(g.w_odd)) + throw std::invalid_argument("no perfect matching exists for this syndrome"); + bool odd_wins = g.w_odd < g.w_even; + g.w_star = odd_wins ? g.w_odd : g.w_even; + dist_int other = odd_wins ? g.w_even : g.w_odd; + g.gap = is_inf(other) ? DIST_INF : other - g.w_star; + g.prediction = (uint8_t)odd_wins ^ shift; +} + +} // namespace + +ExactBaseline::ExactBaseline(std::shared_ptr index, size_t num_threads) + : index_(std::move(index)), pool_(num_threads) { + for (size_t t = 0; t < pool_.size(); t++) { + pm::UserGraph g = make_baseline_user_graph(index_->spec); + mwpms_.push_back(g.to_mwpm(pm::NUM_DISTINCT_WEIGHTS, false)); + if (mwpms_.back().flooder.graph.normalising_constant != index_->graph.normalising_constant) + throw std::logic_error("exact baseline graph has different internal units from fastgap's graph"); + } + scratch_.resize(pool_.size()); +} + +double ExactBaseline::normalising_constant() const { + return mwpms_[0].flooder.graph.normalising_constant; +} + +ExactGap ExactBaseline::decode_with(pm::Mwpm& mwpm, std::vector& events) { + auto t0 = std::chrono::steady_clock::now(); + ExactGap g; + size_t obs_det = index_->spec.baseline_obs_detector(); + int64_t t_parity[2]; + for (int parity = 0; parity < 2; parity++) { + auto tp = std::chrono::steady_clock::now(); + if (parity == 1) + events.push_back(obs_det); + try { + auto r = pm::decode_detection_events_for_up_to_64_observables(mwpm, events, false); + (parity ? g.w_odd : g.w_even) = r.weight; + } catch (const std::invalid_argument&) { + // No matching in this class (e.g. no path from the observable detector to anything). + } + if (parity == 1) + events.pop_back(); + t_parity[parity] = + std::chrono::duration_cast(std::chrono::steady_clock::now() - tp).count(); + } + finish(g, gauge_shift(index_->spec, events)); + g.t_exact_ns = std::chrono::duration_cast(std::chrono::steady_clock::now() - t0).count(); + bool odd_wins = g.w_odd < g.w_even; // as in finish() + g.t_mstar_ns = t_parity[odd_wins ? 1 : 0]; + g.t_comp_ns = t_parity[odd_wins ? 0 : 1]; + return g; +} + +ExactGap ExactBaseline::decode(const std::vector& detection_events) { + auto& events = scratch_[0]; + events.clear(); + for (auto d : detection_events) { + if (d != index_->spec.ref_obs_detector) + events.push_back(d); + } + return decode_with(mwpms_[0], events); +} + +void ExactBaseline::decode_batch( + const uint8_t* shots, size_t num_shots, size_t bytes_per_shot, std::vector& out) { + out.resize(num_shots); + size_t num_detectors = index_->num_detectors(); + size_t ignored = index_->spec.ref_obs_detector; + pool_.run(num_shots, [&](size_t worker, size_t shot) { + auto& events = scratch_[worker]; + unpack_shot(shots + shot * bytes_per_shot, bytes_per_shot, num_detectors, ignored, events); + out[shot] = decode_with(mwpms_[worker], events); + }); +} + +ExactGap brute_force_gap(const GapIndex& index, const std::vector& detection_events) { + std::vector defects; + for (auto d : detection_events) { + if (d != index.spec.ref_obs_detector) + defects.push_back((uint32_t)d); + } + size_t n = defects.size(); + if (n > 20) + throw std::invalid_argument("brute_force_gap supports at most 20 defects"); + std::vector> dist(n); + for (size_t i = 0; i < n; i++) { + auto row = index.graph.dijkstra({{defects[i], 0}}); + for (size_t j = 0; j < n; j++) + dist[i].push_back(row[defects[j]]); + } + auto add = [](dist_int a, dist_int b) { return (is_inf(a) || is_inf(b)) ? DIST_INF : a + b; }; + size_t full = ((size_t)1 << n) - 1; + // f[mask * 2 + p]: min weight matching the defects in mask, with L-edge parity p. + std::vector f((full + 1) * 2, DIST_INF); + f[0] = 0; + for (size_t mask = 1; mask <= full; mask++) { + size_t i = __builtin_ctzll(mask); + size_t rest = mask & ~((size_t)1 << i); + for (int p = 0; p < 2; p++) { + dist_int best = DIST_INF; + best = std::min(best, add(f[rest * 2 + (p ^ 1)], index.h_l[defects[i]])); + best = std::min(best, add(f[rest * 2 + p], index.h_r[defects[i]])); + for (size_t j = i + 1; j < n; j++) { + if (rest & ((size_t)1 << j)) + best = std::min(best, add(f[(rest & ~((size_t)1 << j)) * 2 + p], dist[i][j])); + } + f[mask * 2 + p] = best; + } + } + ExactGap g; + // A matching may also include one bare L-R chain, which flips the class. + g.w_even = std::min(f[full * 2 + 0], add(f[full * 2 + 1], index.d_lr)); + g.w_odd = std::min(f[full * 2 + 1], add(f[full * 2 + 0], index.d_lr)); + finish(g, gauge_shift(index.spec, detection_events)); + return g; +} + +} // namespace fastgap +} // namespace pm diff --git a/src/pymatching/fastgap/exact.h b/src/pymatching/fastgap/exact.h new file mode 100644 index 000000000..7b3b06050 --- /dev/null +++ b/src/pymatching/fastgap/exact.h @@ -0,0 +1,69 @@ +// Copyright 2026 fastgap contributors +// +// Licensed under the Apache License, Version 2.0 (the "License"); +// you may not use this file except in compliance with the License. +// You may obtain a copy of the License at +// +// http://www.apache.org/licenses/LICENSE-2.0 +// +// Unless required by applicable law or agreed to in writing, software +// distributed under the License is distributed on an "AS IS" BASIS, +// WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +// See the License for the specific language governing permissions and +// limitations under the License. + +#ifndef PYMATCHING2_FASTGAP_EXACT_H +#define PYMATCHING2_FASTGAP_EXACT_H + +#include +#include + +#include "pymatching/fastgap/gap_index.h" +#include "pymatching/fastgap/thread_pool.h" + +namespace pm { +namespace fastgap { + +struct ExactGap { + /// Predicted flip of observable k in the original (un-gauged) labels. On a tie (gap 0) the + /// even class (canonical labels) is reported. + uint8_t prediction = 0; + dist_int w_star = 0; + dist_int gap = 0; + /// Minimum weights over matchings with an even / odd number of L edges (canonical labels). + dist_int w_even = DIST_INF; + dist_int w_odd = DIST_INF; + int64_t t_exact_ns = 0; + /// The two decodes timed separately: the one in the class of M* (it yields W* and the + /// prediction, like an ordinary decode) and the one in the complementary class (W^c). The + /// latter is what the baseline pays for the gap on top of an ordinary decode. + int64_t t_mstar_ns = 0; + int64_t t_comp_ns = 0; +}; + +/// The exact two-decode baseline (CLAUDE.md §5.2): PyMatching on the gauge-fixed graph with the +/// observable turned into an extra detector, decoded with that detector off and on. This is the +/// method of Gidney's cultivation and yoking samplers. +class ExactBaseline { + public: + explicit ExactBaseline(std::shared_ptr index, size_t num_threads = 1); + ExactGap decode(const std::vector& detection_events); + void decode_batch(const uint8_t* shots, size_t num_shots, size_t bytes_per_shot, std::vector& out); + double normalising_constant() const; + + private: + ExactGap decode_with(pm::Mwpm& mwpm, std::vector& events); + std::shared_ptr index_; + ThreadPool pool_; + std::vector mwpms_; + std::vector> scratch_; +}; + +/// Brute-force exact gap by enumerating all matchings in the L/R model (subset DP over at most +/// 20 defects), using exact interior distances. Includes the bare L-R chain of weight d_LR. +ExactGap brute_force_gap(const GapIndex& index, const std::vector& detection_events); + +} // namespace fastgap +} // namespace pm + +#endif // PYMATCHING2_FASTGAP_EXACT_H diff --git a/src/pymatching/fastgap/exact.test.cc b/src/pymatching/fastgap/exact.test.cc new file mode 100644 index 000000000..a518cd746 --- /dev/null +++ b/src/pymatching/fastgap/exact.test.cc @@ -0,0 +1,83 @@ +// Copyright 2026 fastgap contributors +// +// Licensed under the Apache License, Version 2.0 (the "License"); +// you may not use this file except in compliance with the License. +// You may obtain a copy of the License at +// +// http://www.apache.org/licenses/LICENSE-2.0 +// +// Unless required by applicable law or agreed to in writing, software +// distributed under the License is distributed on an "AS IS" BASIS, +// WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +// See the License for the specific language governing permissions and +// limitations under the License. + +#include "pymatching/fastgap/exact.h" + +#include + +#include "pymatching/fastgap/fastgap_test_util.test.h" + +using namespace pm::fastgap; + +TEST(FastgapExact, BaselineEqualsBruteForce) { + std::mt19937_64 rng(2024); + size_t compared = 0; + for (int trial = 0; trial < 10; trial++) { + auto dem = testutil::random_grid_dem(rng, 4 + trial % 3, 3 + trial % 3, 0.4, 0.02, 0.3); + auto idx = testutil::make_index(dem); + ExactBaseline baseline(idx); + EXPECT_EQ(baseline.normalising_constant(), idx->graph.normalising_constant); + for (int s = 0; s < 100; s++) { + auto events = testutil::sample_dem(dem, rng); + if (events.size() > 12) + continue; + auto a = baseline.decode(events); + auto b = brute_force_gap(*idx, events); + ASSERT_EQ(a.w_even, b.w_even); + ASSERT_EQ(a.w_odd, b.w_odd); + compared++; + } + } + EXPECT_GT(compared, 500u); +} + +TEST(FastgapExact, GaugeLeavesGapUnchanged) { + // Same code with two different random gauges: identical gaps, predictions flipped by the + // per-shot shift so that both agree in the original labels. + std::mt19937_64 rng_a(7), rng_b(7); + auto dem_a = testutil::random_grid_dem(rng_a, 5, 4, 0.4); + // Re-label the observable by an explicit gauge on the original DEM: flip L0 on every + // mechanism touching D3 (an odd number of times). + std::string text = dem_a.str(); + stim::DetectorErrorModel dem_b; + dem_a.iter_flatten_error_instructions([&](const stim::DemInstruction& e) { + std::vector t; + bool touches = false, obs = false; + for (auto& x : e.target_data) { + if (x.is_relative_detector_id()) { + t.push_back(x); + touches ^= x.val() == 3; + } else if (x.is_observable_id()) { + obs ^= true; + } + } + if (obs ^ touches) + t.push_back(stim::DemTarget::observable_id(0)); + dem_b.append_error_instruction(e.arg_data[0], t, ""); + }); + auto idx_a = testutil::make_index(dem_a); + auto idx_b = testutil::make_index(dem_b); + ExactBaseline ba(idx_a), bb(idx_b); + std::mt19937_64 rng(1); + for (int s = 0; s < 300; s++) { + auto events = testutil::sample_dem(dem_a, rng); + auto ga = ba.decode(events); + auto gb = bb.decode(events); + ASSERT_EQ(ga.gap, gb.gap); + ASSERT_EQ(ga.w_star, gb.w_star); + bool has3 = std::find(events.begin(), events.end(), 3u) != events.end(); + if (ga.gap > 0) + ASSERT_EQ(ga.prediction, gb.prediction ^ (uint8_t)has3); + } +} diff --git a/src/pymatching/fastgap/fastgap.pybind.cc b/src/pymatching/fastgap/fastgap.pybind.cc new file mode 100644 index 000000000..ed69514b4 --- /dev/null +++ b/src/pymatching/fastgap/fastgap.pybind.cc @@ -0,0 +1,436 @@ +// Copyright 2026 fastgap contributors +// +// Licensed under the Apache License, Version 2.0 (the "License"); +// you may not use this file except in compliance with the License. +// You may obtain a copy of the License at +// +// http://www.apache.org/licenses/LICENSE-2.0 +// +// Unless required by applicable law or agreed to in writing, software +// distributed under the License is distributed on an "AS IS" BASIS, +// WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +// See the License for the specific language governing permissions and +// limitations under the License. + +// Low-level bindings for the `fastgap` Python package. Everything here works in PyMatching's +// internal integer units; the Python layer converts to user units at the API boundary. + +#include + +#include "pybind11/numpy.h" +#include "pybind11/pybind11.h" +#include "pybind11/stl.h" +#include "pymatching/fastgap/exact.h" +#include "pymatching/fastgap/gap_decoder.h" +#include "pymatching/fastgap/gap_index.h" +#include "pymatching/sparse_blossom/driver/mwpm_decoding.h" + +namespace py = pybind11; +using namespace py::literals; +using namespace pm::fastgap; + +namespace { + +template +py::array_t to_array(const std::vector& v) { + py::array_t out(v.size()); + std::copy(v.begin(), v.end(), out.mutable_data()); + return out; +} + +std::vector to_events(const py::array_t& a) { + return std::vector(a.data(), a.data() + a.size()); +} + +Pricing parse_pricing(const std::string& s) { + if (s == "index") + return Pricing::INDEX; + if (s == "exact") + return Pricing::EXACT; + throw std::invalid_argument("pricing must be 'index' or 'exact'"); +} + +DecodeOptions make_options( + int64_t threshold, bool upper_bound, const std::string& pricing, bool check, bool keep_walk) { + DecodeOptions o; + o.threshold = threshold; + o.upper_bound = upper_bound; + o.pricing = parse_pricing(pricing); + o.check = check; + o.keep_walk = keep_walk; + return o; +} + +/// Validates a 2D uint8 bit-packed shot array and returns (num_shots, bytes_per_shot). +std::pair check_shots(const py::array_t& shots, size_t num_detectors) { + if (shots.ndim() != 2) + throw std::invalid_argument("shots must be a 2D uint8 array of bit-packed detection events"); + size_t bytes = shots.shape(1); + if (bytes * 8 < num_detectors) + throw std::invalid_argument( + "bit-packed shots need at least " + std::to_string((num_detectors + 7) / 8) + " bytes per row"); + return {(size_t)shots.shape(0), bytes}; +} + +py::dict gap_results_to_dict(const std::vector& rs) { + size_t n = rs.size(); + py::array_t prediction(n); + py::array_t w_star(n), gap_lb(n), gap_ub(n), hop_slack(n), t_decode(n), t_gap(n); + py::array_t censored(n), simple(n), exact(n), bpass(n); + py::array_t nd(n), nb(n), nh(n); + for (size_t i = 0; i < n; i++) { + auto& r = rs[i]; + prediction.mutable_at(i) = r.prediction; + w_star.mutable_at(i) = r.w_star; + gap_lb.mutable_at(i) = is_inf(r.gap_lb) ? -1 : r.gap_lb; + gap_ub.mutable_at(i) = is_inf(r.gap_ub) ? -1 : r.gap_ub; + hop_slack.mutable_at(i) = r.hop_slack; + t_decode.mutable_at(i) = r.t_decode_ns; + t_gap.mutable_at(i) = r.t_gap_ns; + censored.mutable_at(i) = r.censored; + simple.mutable_at(i) = r.walk_simple; + exact.mutable_at(i) = r.all_hops_exact; + bpass.mutable_at(i) = r.blossom_pass; + nd.mutable_at(i) = r.num_defects; + nb.mutable_at(i) = r.num_blossoms; + nh.mutable_at(i) = r.num_hops; + } + return py::dict( + "prediction_mask"_a = prediction, + "w_star"_a = w_star, + "gap_lb"_a = gap_lb, + "gap_ub"_a = gap_ub, + "hop_slack"_a = hop_slack, + "t_decode_ns"_a = t_decode, + "t_gap_ns"_a = t_gap, + "censored"_a = censored, + "walk_simple"_a = simple, + "all_hops_exact"_a = exact, + "blossom_pass"_a = bpass, + "num_defects"_a = nd, + "num_blossoms"_a = nb, + "num_hops"_a = nh); +} + +py::dict exact_results_to_dict(const std::vector& rs) { + size_t n = rs.size(); + py::array_t prediction(n); + py::array_t w_star(n), gap(n), w_even(n), w_odd(n), t(n), t_mstar(n), t_comp(n); + for (size_t i = 0; i < n; i++) { + prediction.mutable_at(i) = rs[i].prediction; + w_star.mutable_at(i) = rs[i].w_star; + gap.mutable_at(i) = is_inf(rs[i].gap) ? -1 : rs[i].gap; + w_even.mutable_at(i) = is_inf(rs[i].w_even) ? -1 : rs[i].w_even; + w_odd.mutable_at(i) = is_inf(rs[i].w_odd) ? -1 : rs[i].w_odd; + t.mutable_at(i) = rs[i].t_exact_ns; + t_mstar.mutable_at(i) = rs[i].t_mstar_ns; + t_comp.mutable_at(i) = rs[i].t_comp_ns; + } + return py::dict( + "prediction"_a = prediction, + "w_star"_a = w_star, + "gap"_a = gap, + "w_even"_a = w_even, + "w_odd"_a = w_odd, + "t_exact_ns"_a = t, + "t_mstar_ns"_a = t_mstar, + "t_comp_ns"_a = t_comp); +} + +/// Compares fastgap's decode graph with the graph PyMatching builds from a reference gap DEM +/// (CLAUDE.md §7.3). Returns an empty string when edges, weights and units are identical. +std::string compare_with_reference_dem(const GapIndex& idx, const std::string& gap_dem_text) { + if (idx.spec.kind != GraphSpec::FROM_REFERENCE_EDGES) + return "index was not built from reference edges"; + size_t obs_det = idx.spec.ref_obs_detector; + pm::Mwpm ref = pm::detector_error_model_to_mwpm(stim::DetectorErrorModel(gap_dem_text), pm::NUM_DISTINCT_WEIGHTS); + auto& rg = ref.flooder.graph; + auto& g = idx.graph; + if (rg.normalising_constant != g.normalising_constant) + return "normalising constants differ"; + if (rg.nodes.size() != g.num_nodes) + return "node counts differ"; + const pm::DetectorNode* base = rg.nodes.data(); + for (size_t u = 0; u < g.num_nodes; u++) { + // (neighbour, weight, side) multiset; neighbour -1 = boundary. + std::multiset> a, b; + auto& node = rg.nodes[u]; + for (size_t j = 0; j < node.neighbors.size(); j++) { + int64_t w = node.neighbor_weights[j]; + if (node.neighbors[j] == nullptr) { + a.insert({-1, w, u == obs_det ? 0 : (int)SIDE_R}); + } else { + size_t v = node.neighbors[j] - base; + if (u == obs_det) + continue; // its edges are compared from the other endpoint + if (v == obs_det) + a.insert({-1, w, (int)SIDE_L}); + else + a.insert({(int64_t)v, w, 0}); + } + } + for (uint32_t e = g.offsets[u]; e < g.offsets[u + 1]; e++) + b.insert({(int64_t)g.neighbors[e], g.weights[e], 0}); + if (g.boundary_side[u] != SIDE_NONE) + b.insert({-1, g.boundary_weight[u], u == obs_det ? 0 : (int)g.boundary_side[u]}); + if (a != b) + return "edges at detector D" + std::to_string(u) + " differ"; + } + return ""; +} + +} // namespace + +PYBIND11_MODULE(_cpp_fastgap, m) { + m.doc() = "Low-level C++ core of fastgap (internal integer units)."; + + py::register_exception(m, "BoundarylessLogicalError", PyExc_ValueError); + py::register_exception(m, "ParallelEdgeConflictError", PyExc_ValueError); + py::register_exception(m, "InvariantViolation", PyExc_AssertionError); + + m.attr("DIST_INF") = DIST_INF; + + py::class_>(m, "GapIndexCore") + .def_static("create_from_dem", &GapIndex::create_from_dem, "dem_text"_a, "observable"_a) + .def_static( + "create_from_reference_edges", + [](size_t num_detectors, size_t obs_detector, const std::vector>& edges) { + std::vector out; + for (auto& [u, v, side_l, w, p] : edges) + out.push_back({u < 0 ? SIZE_MAX : (size_t)u, v < 0 ? SIZE_MAX : (size_t)v, side_l, w, p}); + return GapIndex::create_from_reference_edges(num_detectors, obs_detector, std::move(out)); + }, + "num_detectors"_a, + "obs_detector"_a, + "edges"_a) + .def_static("load", &GapIndex::load, "path"_a) + .def("save", &GapIndex::save, "path"_a) + .def( + "set_landmarks", + [](GapIndex& self, const std::vector>>& sources, + const std::string& config) { + std::vector ls; + for (auto& [label, nodes] : sources) + ls.push_back({label, nodes}); + self.set_landmarks(std::move(ls), config); + }, + "sources"_a, + "config"_a) + .def_property_readonly("kind", [](const GapIndex& s) { return s.spec.kind == GraphSpec::FROM_DEM ? "dem" : "reference"; }) + .def_property_readonly("dem_text", [](const GapIndex& s) { return s.dem_text; }) + .def_property_readonly("num_detectors", [](const GapIndex& s) { return s.spec.num_detectors; }) + .def_property_readonly("num_nodes", [](const GapIndex& s) { return s.graph.num_nodes; }) + .def_property_readonly("num_observables", [](const GapIndex& s) { return s.spec.num_observables; }) + .def_property_readonly("observable", [](const GapIndex& s) { return s.spec.observable; }) + .def_property_readonly("ref_obs_detector", [](const GapIndex& s) -> int64_t { + return s.spec.ref_obs_detector == SIZE_MAX ? -1 : (int64_t)s.spec.ref_obs_detector; + }) + .def_property_readonly("num_hyperedges_ignored", [](const GapIndex& s) { return s.spec.num_hyperedges_ignored; }) + .def_property_readonly("normalising_constant", [](const GapIndex& s) { return s.graph.normalising_constant; }) + .def_property_readonly("d_lr", [](const GapIndex& s) { return s.d_lr; }) + .def_property_readonly("finalized", [](const GapIndex& s) { return s.finalized; }) + .def_property_readonly("strategy_config", [](const GapIndex& s) { return s.strategy_config; }) + .def_property_readonly("strategy_hash", [](const GapIndex& s) { return s.strategy_hash; }) + .def_property_readonly("fingerprint", [](const GapIndex& s) { return s.graph.fingerprint(); }) + .def_property_readonly("potential_bytes", &GapIndex::potential_bytes) + .def_property_readonly("median_edge_weight", [](const GapIndex& s) { return s.graph.median_edge_weight(); }) + .def_property_readonly("gauge", [](const GapIndex& s) { return to_array(s.spec.gauge); }) + .def_property_readonly("h_l", [](const GapIndex& s) { return to_array(s.h_l); }) + .def_property_readonly("h_r", [](const GapIndex& s) { return to_array(s.h_r); }) + .def_property_readonly( + "landmarks", + [](const GapIndex& s) { + py::list out; + for (auto& l : s.landmarks) + out.append(py::make_tuple(l.label, to_array(l.nodes))); + return out; + }) + .def_property_readonly( + "potentials", + [](const GapIndex& s) { + size_t k = s.potential_stride(); + py::array_t out({s.graph.num_nodes, k}); + std::copy(s.potentials.begin(), s.potentials.end(), out.mutable_data()); + return out; + }) + .def( + "graph_arrays", + [](const GapIndex& s) { + return py::dict( + "offsets"_a = to_array(s.graph.offsets), + "neighbors"_a = to_array(s.graph.neighbors), + "weights"_a = to_array(s.graph.weights), + "boundary_weight"_a = to_array(s.graph.boundary_weight), + "boundary_side"_a = to_array(s.graph.boundary_side)); + }) + .def("canonical_dem_text", [](const GapIndex& s) { + if (s.spec.kind != GraphSpec::FROM_DEM) + throw std::invalid_argument("index was built from reference edges, not a DEM"); + return s.spec.canonical_dem.str(); + }) + .def("baseline_dem_text", [](const GapIndex& s) { return make_baseline_dem(s.spec).str(); }) + .def( + "dijkstra", + [](const GapIndex& s, const std::vector>& init, int64_t cap) { + std::vector d; + { + py::gil_scoped_release release; + d = s.graph.dijkstra(init, cap < 0 ? DIST_INF : cap); + } + return to_array(d); + }, + "init"_a, + "cap"_a = -1) + .def( + "exact_distance", + [](const GapIndex& s, uint32_t u, uint32_t v) { + InteriorGraph::AStarScratch scratch; + return s.exact_distance(u, v, scratch); + }, + "u"_a, + "v"_a) + .def("lower_bound", &GapIndex::lower_bound, "u"_a, "v"_a) + .def( + "d_hat", + [](const GapIndex& s, uint32_t u, uint32_t v) { + bool exact; + dist_int d = s.d_hat(u, v, exact); + return py::make_tuple(d, exact); + }, + "u"_a, + "v"_a) + .def("compare_with_reference_dem", &compare_with_reference_dem, "gap_dem_text"_a) + .def( + "dual_state", + [](const GapIndex& s, const py::array_t& events) { + // The decoder's final dual state for one shot (for inspection and figures). + pm::Mwpm mwpm = s.make_mwpm(); + DualState ds; + DualStateScratch scratch; + extract_dual_state(mwpm, to_events(events), s.spec.observable, ds, scratch); + py::list ancestors; + for (size_t i = 0; i < ds.num_defects(); i++) { + py::list a; + for (uint32_t k = ds.anc_offset[i]; k < ds.anc_offset[i + 1]; k++) + a.append(ds.anc_blossom[k]); + ancestors.append(a); + } + return py::dict( + "defects"_a = to_array(ds.defects), + "y_leaf"_a = to_array(ds.y_leaf), + "rho"_a = to_array(ds.rho), + "y_blossom"_a = to_array(ds.y_blossom), + "ancestors"_a = ancestors, + "mate"_a = to_array(ds.mate), + "w_star"_a = ds.w_star, + "mate_l"_a = MATE_L, + "mate_r"_a = MATE_R); + }, + "detection_events"_a); + + py::class_(m, "GapDecoderCore") + .def( + py::init([](std::shared_ptr idx, size_t num_threads, bool pin) { + return new GapDecoder(idx, num_threads, pin); + }), + "index"_a, + "num_threads"_a = 1, + "pin_threads"_a = false) + .def_property_readonly("num_threads", &GapDecoder::num_threads) + .def_readwrite("parallel_grain", &GapDecoder::parallel_grain) + .def( + "decode", + [](GapDecoder& self, const py::array_t& events, + int64_t threshold, bool upper_bound, const std::string& pricing, bool check, bool keep_walk) { + auto ev = to_events(events); + auto o = make_options(threshold, upper_bound, pricing, check, keep_walk); + GapResult r; + { + py::gil_scoped_release release; + r = self.decode(ev, o); + } + py::dict d = gap_results_to_dict({r}); + py::dict out; + for (auto item : d) + out[item.first] = item.second.cast()[py::int_(0)]; + py::list walk; + for (auto& h : r.walk) + walk.append(py::make_tuple(h.from, h.to, h.price, h.exact)); + out["walk"] = walk; + return out; + }, + "detection_events"_a, + "threshold"_a = -1, + "upper_bound"_a = false, + "pricing"_a = "index", + "check"_a = CHECKS_DEFAULT_ON, + "keep_walk"_a = false) + .def( + "decode_batch", + [](GapDecoder& self, const py::array_t& shots, int64_t threshold, + bool upper_bound, const std::string& pricing, bool check) { + auto [num_shots, bytes] = check_shots(shots, self.index().num_detectors()); + auto o = make_options(threshold, upper_bound, pricing, check, false); + std::vector rs; + { + py::gil_scoped_release release; + self.decode_batch(shots.data(), num_shots, bytes, o, rs); + } + return gap_results_to_dict(rs); + }, + "shots"_a, + "threshold"_a = -1, + "upper_bound"_a = false, + "pricing"_a = "index", + "check"_a = CHECKS_DEFAULT_ON); + + py::class_(m, "ExactBaselineCore") + .def( + py::init([](std::shared_ptr idx, size_t num_threads) { return new ExactBaseline(idx, num_threads); }), + "index"_a, + "num_threads"_a = 1) + .def_property_readonly("normalising_constant", &ExactBaseline::normalising_constant) + .def( + "decode", + [](ExactBaseline& self, const py::array_t& events) { + auto r = self.decode(to_events(events)); + py::dict d = exact_results_to_dict({r}); + py::dict out; + for (auto item : d) + out[item.first] = item.second.cast()[py::int_(0)]; + return out; + }, + "detection_events"_a) + .def( + "decode_batch", + [](ExactBaseline& self, const py::array_t& shots, size_t num_detectors) { + auto [num_shots, bytes] = check_shots(shots, num_detectors); + std::vector rs; + { + py::gil_scoped_release release; + self.decode_batch(shots.data(), num_shots, bytes, rs); + } + return exact_results_to_dict(rs); + }, + "shots"_a, + "num_detectors"_a); + + m.def( + "brute_force_gap", + [](const GapIndex& idx, const py::array_t& events) { + auto r = brute_force_gap(idx, to_events(events)); + return py::dict( + "prediction"_a = r.prediction, + "w_star"_a = r.w_star, + "gap"_a = is_inf(r.gap) ? -1 : r.gap, + "w_even"_a = is_inf(r.w_even) ? -1 : r.w_even, + "w_odd"_a = is_inf(r.w_odd) ? -1 : r.w_odd); + }, + "index"_a, + "detection_events"_a); + + m.def( + "pin_current_thread", + [](size_t cpu) { return ThreadPool::pin_current_thread(cpu); }, + "cpu"_a); +} diff --git a/src/pymatching/fastgap/fastgap_test_util.test.h b/src/pymatching/fastgap/fastgap_test_util.test.h new file mode 100644 index 000000000..2db45f63b --- /dev/null +++ b/src/pymatching/fastgap/fastgap_test_util.test.h @@ -0,0 +1,124 @@ +// Copyright 2026 fastgap contributors +// +// Licensed under the Apache License, Version 2.0 (the "License"); +// you may not use this file except in compliance with the License. +// You may obtain a copy of the License at +// +// http://www.apache.org/licenses/LICENSE-2.0 +// +// Unless required by applicable law or agreed to in writing, software +// distributed under the License is distributed on an "AS IS" BASIS, +// WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +// See the License for the specific language governing permissions and +// limitations under the License. + +#ifndef PYMATCHING2_FASTGAP_TEST_UTIL_TEST_H +#define PYMATCHING2_FASTGAP_TEST_UTIL_TEST_H + +#include +#include +#include +#include + +#include "pymatching/fastgap/gap_index.h" +#include "stim.h" + +namespace pm { +namespace fastgap { +namespace testutil { + +/// A random matchable DEM: a w x h grid (with optional random diagonals, which create odd cycles +/// and therefore blossoms), boundary edges on the left (observable side) and right columns, random +/// probabilities, random duplicate mechanisms, and observable labels scrambled by a random gauge so +/// that the observable appears on interior edges too. +inline stim::DetectorErrorModel random_grid_dem( + std::mt19937_64& rng, size_t w, size_t h, double diag_frac = 0.3, double p_lo = 0.01, double p_hi = 0.2) { + std::uniform_real_distribution up(p_lo, p_hi), u01(0, 1); + size_t n = w * h; + std::vector s(n); + for (auto& b : s) + b = rng() & 1; + auto id = [&](size_t x, size_t y) { return y * w + x; }; + std::ostringstream out; + auto edge = [&](size_t a, size_t b, int obs) { + int o = obs ^ s[a] ^ s[b]; + int copies = u01(rng) < 0.15 ? 2 : 1; + for (int c = 0; c < copies; c++) { + out << "error(" << up(rng) << ") D" << a << " D" << b; + if (o) + out << " L0"; + out << "\n"; + } + }; + auto bedge = [&](size_t a, int obs) { + int o = obs ^ s[a]; + int copies = u01(rng) < 0.15 ? 2 : 1; + for (int c = 0; c < copies; c++) { + out << "error(" << up(rng) << ") D" << a; + if (o) + out << " L0"; + out << "\n"; + } + }; + for (size_t y = 0; y < h; y++) { + for (size_t x = 0; x < w; x++) { + if (x + 1 < w) + edge(id(x, y), id(x + 1, y), 0); + if (y + 1 < h) + edge(id(x, y), id(x, y + 1), 0); + if (x + 1 < w && y + 1 < h && u01(rng) < diag_frac) + edge(id(x, y), id(x + 1, y + 1), 0); + } + bedge(id(0, y), 1); + bedge(id(w - 1, y), 0); + } + for (size_t i = 0; i < n; i++) + out << "detector(" << (i % w) << ", " << (i / w) << ") D" << i << "\n"; + return stim::DetectorErrorModel(out.str()); +} + +/// Exact sample of a DEM's detection events: each error instruction fires independently. +inline std::vector sample_dem(const stim::DetectorErrorModel& dem, std::mt19937_64& rng) { + std::uniform_real_distribution u01(0, 1); + std::set on; + dem.iter_flatten_error_instructions([&](const stim::DemInstruction& e) { + if (u01(rng) < e.arg_data[0]) { + for (auto& t : e.target_data) { + if (t.is_relative_detector_id()) { + auto [it, inserted] = on.insert(t.val()); + if (!inserted) + on.erase(it); + } + } + } + }); + return {on.begin(), on.end()}; +} + +inline stim::DetectorErrorModel surface_code_dem(uint32_t d, uint64_t rounds, double p, const std::string& task) { + stim::CircuitGenParameters params(rounds, d, task); + params.after_clifford_depolarization = p; + params.before_round_data_depolarization = p; + params.before_measure_flip_probability = p; + params.after_reset_flip_probability = p; + auto circuit = stim::generate_surface_code_circuit(params).circuit; + return stim::ErrorAnalyzer::circuit_to_detector_error_model(circuit, true, true, false, 1, false, false); +} + +/// Index with a few single-node landmarks spread over the graph (enough to exercise LB). +inline std::shared_ptr make_index( + const stim::DetectorErrorModel& dem, size_t num_landmarks = 4) { + auto idx = GapIndex::create_from_dem(dem.str(), 0); + std::vector sources; + size_t n = idx->graph.num_nodes; + for (size_t i = 0; i < num_landmarks && n > 0; i++) + sources.push_back({"node" + std::to_string(i), {(uint32_t)((i * 7919) % n)}}); + idx->set_landmarks(sources, "{\"strategy\":\"test\"}"); + return idx; +} + +} // namespace testutil +} // namespace fastgap +} // namespace pm + +#endif // PYMATCHING2_FASTGAP_TEST_UTIL_TEST_H diff --git a/src/pymatching/fastgap/gap_decoder.cc b/src/pymatching/fastgap/gap_decoder.cc new file mode 100644 index 000000000..ae1287e0b --- /dev/null +++ b/src/pymatching/fastgap/gap_decoder.cc @@ -0,0 +1,809 @@ +// Copyright 2026 fastgap contributors +// +// Licensed under the Apache License, Version 2.0 (the "License"); +// you may not use this file except in compliance with the License. +// You may obtain a copy of the License at +// +// http://www.apache.org/licenses/LICENSE-2.0 +// +// Unless required by applicable law or agreed to in writing, software +// distributed under the License is distributed on an "AS IS" BASIS, +// WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +// See the License for the specific language governing permissions and +// limitations under the License. + +#include "pymatching/fastgap/gap_decoder.h" + +#include +#include +#include +#include + +namespace pm { +namespace fastgap { + +namespace { + +constexpr int32_t STATE_L = -1; +constexpr int32_t END_R = -2; +constexpr int32_t PRED_FREE_RELAY = -3; // standing at u with mate(u) = L, reached for free + +inline int64_t elapsed_ns(std::chrono::steady_clock::time_point a, std::chrono::steady_clock::time_point b) { + return std::chrono::duration_cast(b - a).count(); +} + +/// Hop prices c(x, u) (CLAUDE.md §3.3, §3.4). Every price is a lower bound on the true reduced +/// cost, clamped at 0 (safe because sigma >= 0). `hop`, `from_l`, `to_r` and `reduce` are +/// read-only and safe to call from several threads. +/// +/// Index pricing prices whole rows in `compute_row` (see RowCache). Exact pricing, the slow +/// reference Delta_sigma, reads one Dijkstra row at a time ("standing at x", `begin_row`) over the +/// *active* hop targets: defects u whose mate is R or an unsettled state (once state m is settled, +/// hopping into mate(m) can no longer improve anything). +struct Pricer { + const GapIndex& idx; + const DualState& ds; + GapWorker& w; + Pricing mode; + int32_t row_state = INT32_MIN; + size_t n = 0; + + Pricer(const GapIndex& idx, const DualState& ds, GapWorker& w, Pricing mode) + : idx(idx), ds(ds), w(w), mode(mode), n(ds.num_defects()) { + w.top.resize(n); + for (size_t i = 0; i < n; i++) + w.top[i] = ds.top_blossom(i); + if (mode == Pricing::INDEX) + return; + // Hops into a defect matched to L only lead back to L, so those are never targets. + w.act.clear(); + w.pos.assign(n, -1); + for (size_t i = 0; i < n; i++) { + if (ds.mate[i] != MATE_L) { + w.pos[i] = (int32_t)w.act.size(); + w.act.push_back((int32_t)i); + } + } + } + Pricer(const Pricer&) = delete; + + size_t num_active() const { + return w.act.size(); + } + + /// Removes u from the active targets (swap with the last one). Exact pricing only. + void deactivate(int32_t u) { + int32_t p = w.pos[u]; + if (p < 0) + return; + int32_t moved = w.act.back(); + w.act[p] = moved; + w.pos[moved] = p; + w.pos[u] = -1; + w.act.pop_back(); + } + + /// Exact pricing only: distances from state x to every detector. + void begin_row(int32_t x) { + if (x < 0 || row_state == x) + return; + row_state = x; + w.row = idx.graph.dijkstra({{ds.defects[x], 0}}); + } + + /// Exact pricing only: price of the hop from the current row x to the active target at + /// position p (requires begin_row(x)). + inline dist_int price_at(int32_t x, size_t p) const { + int32_t j = w.act[p]; + return reduce(x, j, w.row[ds.defects[j]]); + } + + inline dist_int beta(int32_t i, int32_t j) const { + return (w.top[i] < 0 || w.top[i] != w.top[j]) ? 0 : ds.beta(i, j); + } + + inline dist_int reduce(int32_t i, int32_t j, dist_int d) const { + if (is_inf(d)) + return DIST_INF; + dist_int s = d - ds.rho[i] - ds.rho[j] + 2 * beta(i, j); + return s > 0 ? s : 0; + } + + /// Price of any hop i -> j; read-only, so safe to call from several threads in INDEX mode. + /// In EXACT mode it requires begin_row(i). Optionally returns the distance estimate. + inline dist_int hop(int32_t i, int32_t j, bool& exact, dist_int* d_out = nullptr) const { + dist_int d; + if (mode == Pricing::EXACT) { + exact = true; + d = w.row[ds.defects[j]]; + } else { + d = idx.d_hat(ds.defects[i], ds.defects[j], exact); + } + if (d_out) + *d_out = d; + return reduce(i, j, d); + } + + inline dist_int from_l(int32_t j) const { + dist_int h = idx.h_l[ds.defects[j]]; + if (is_inf(h)) + return DIST_INF; + dist_int s = h - ds.rho[j]; + return s > 0 ? s : 0; + } + + inline dist_int to_r(int32_t i) const { + if (i == STATE_L) + return idx.d_lr; + dist_int h = idx.h_r[ds.defects[i]]; + if (is_inf(h)) + return DIST_INF; + dist_int s = h - ds.rho[i]; + return s > 0 ? s : 0; + } +}; + +struct InternalHop { + int32_t from; // defect index or STATE_L + int32_t to; // defect index or END_R + dist_int price; + dist_int dhat; // the distance estimate behind the price + bool exact; +}; + +/// Debug invariants of CLAUDE.md §5.1: relays tight, sigma >= 0, d_hat <= dist. +void check_dual_invariants(const GapIndex& idx, const DualState& ds, GapWorker& w) { + size_t n = ds.num_defects(); + for (size_t i = 0; i < n; i++) { + uint32_t u = ds.defects[i]; + if (idx.h_l[u] - ds.rho[i] < 0 || idx.h_r[u] - ds.rho[i] < 0) + throw InvariantViolation("boundary reduced cost sigma(u, X) < 0 at D" + std::to_string(u)); + int32_t m = ds.mate[i]; + if (m == MATE_L && idx.h_l[u] != ds.rho[i]) + throw InvariantViolation("relay to L is not tight at D" + std::to_string(u)); + if (m == MATE_R && idx.h_r[u] != ds.rho[i]) + throw InvariantViolation("relay to R is not tight at D" + std::to_string(u)); + } + size_t pair_rows = std::min(n, 64); + std::vector relay_checked(n, 0); + for (size_t i = 0; i < n; i++) { + int32_t m = ds.mate[i]; + bool need_row = i < pair_rows || (m >= 0 && (size_t)m > i); + if (!need_row) + continue; + auto row = idx.graph.dijkstra({{ds.defects[i], 0}}); + for (size_t j = i + 1; j < n; j++) { + bool is_mate = (int32_t)j == m; + if (i >= pair_rows && !is_mate) + continue; + dist_int d = row[ds.defects[j]]; + dist_int reduced = d - ds.rho[i] - ds.rho[j] + 2 * ds.beta(i, j); + if (!is_inf(d) && reduced < 0) + throw InvariantViolation( + "dual infeasible: sigma(D" + std::to_string(ds.defects[i]) + ", D" + std::to_string(ds.defects[j]) + + ") = " + std::to_string(reduced) + " < 0"); + if (is_mate) { + if (reduced != 0) + throw InvariantViolation("relay between matched defects is not tight"); + relay_checked[i] = relay_checked[j] = 1; + } + bool exact; + dist_int dh = idx.d_hat(ds.defects[i], ds.defects[j], exact); + if (dh > d || (exact && dh != d)) + throw InvariantViolation("d_hat overestimates the interior distance"); + } + } + for (size_t i = 0; i < n; i++) { + if (ds.mate[i] >= 0 && !relay_checked[i]) + throw InvariantViolation("relay tightness was not checked"); + } +} + +} // namespace + +void unpack_shot( + const uint8_t* shot, size_t bytes_per_shot, size_t num_detectors, size_t ignored_detector, + std::vector& out) { + out.clear(); + size_t limit = std::min(num_detectors, bytes_per_shot * 8); + for (size_t b = 0; b < bytes_per_shot; b++) { + uint8_t byte = shot[b]; + while (byte) { + int bit = __builtin_ctz(byte); + byte &= byte - 1; + size_t d = b * 8 + bit; + if (d >= limit) + throw std::invalid_argument( + "shot has a detection event at index " + std::to_string(d) + " but the graph only has " + + std::to_string(num_detectors) + " detectors"); + if (d != ignored_detector) + out.push_back(d); + } + } +} + +namespace { + +/// Result of the search over "standing at x" states. `best_hop` is END_R (hop straight to R) or +/// the defect whose mate is R; ties are broken by (iteration, hop) so the walk does not depend on +/// the number of threads. +struct SearchOutcome { + dist_int best = DIST_INF; + int32_t best_from = INT32_MIN; + int32_t best_hop = END_R; + dist_int stop_label = DIST_INF; +}; + +inline bool better(dist_int c, int64_t it, int32_t hop, dist_int best, int64_t best_it, int32_t best_hop) { + if (c != best) + return c < best; + return it < best_it || (it == best_it && hop < best_hop); +} + +/// Dense Dijkstra with exact pricing (CLAUDE.md §3.3, §5.2). State index n is "standing at L". +SearchOutcome exact_search(const DualState& ds, GapWorker& w, Pricer& pricer, dist_int tau) { + const int32_t n = (int32_t)ds.num_defects(); + SearchOutcome out; + int64_t best_iter = -1; + for (int64_t iter = 0;; iter++) { + int32_t x = -1; + dist_int lx = DIST_INF; + for (int32_t s = 0; s <= n; s++) { + if (!w.settled[s] && w.label[s] < lx) { + lx = w.label[s]; + x = s; + } + } + if (x < 0 || lx >= out.best || lx >= tau) { + out.stop_label = lx; + return out; + } + w.settled[x] = 1; + int32_t xs = x == n ? STATE_L : x; + // Move B: hop to R. + dist_int c_r = pricer.to_r(xs); + if (!is_inf(c_r) && better(lx + c_r, iter, END_R, out.best, best_iter, out.best_hop)) { + out.best = lx + c_r; + out.best_from = xs; + out.best_hop = END_R; + best_iter = iter; + } + // Move A: hop to defect u, then relay to mate(u). Settling x retires the target mate(x). + if (xs >= 0 && ds.mate[xs] >= 0) + pricer.deactivate(ds.mate[xs]); + pricer.begin_row(xs); + size_t a = pricer.num_active(); + for (size_t p = 0; p < a; p++) { + int32_t u = w.act[p]; + if (u == xs) + continue; + dist_int c = xs == STATE_L ? pricer.from_l(u) : pricer.price_at(xs, p); + if (is_inf(c)) + continue; + dist_int cand = lx + c; + int32_t m = ds.mate[u]; + if (m == MATE_R) { + if (better(cand, iter, u, out.best, best_iter, out.best_hop)) { + out.best = cand; + out.best_from = xs; + out.best_hop = u; + best_iter = iter; + } + } else if (cand < w.label[m]) { + w.label[m] = cand; + w.pred_state[m] = xs; + w.pred_hop[m] = u; + } + } + } +} + +/// Lays out the targets of this shot (see RowCache) and resets the search state. +void setup_row_cache(const GapIndex& idx, const DualState& ds, RowCache& c, bool shared) { + const int32_t n = (int32_t)ds.num_defects(); + const size_t stride = idx.potential_stride(); + c.num_states = (size_t)n + 1; + c.tgt_u.clear(); + c.tgt_state.clear(); + c.starts.clear(); + // Targets leading to a state, by state index; then targets leading to R, by defect index. + for (int32_t v = 0; v < n; v++) { + int32_t m = ds.mate[v]; + if (m == MATE_L) + c.starts.push_back(v); + else if (m >= 0) { + // v is the state reached from target m. + c.tgt_u.push_back(m); + c.tgt_state.push_back(v); + } + } + c.starts.push_back(n); + c.num_state_targets = c.tgt_u.size(); + for (int32_t u = 0; u < n; u++) { + if (ds.mate[u] == MATE_R) + c.tgt_u.push_back(u); + } + const size_t a = c.tgt_u.size(); + const size_t as = c.num_state_targets; + c.num_targets = a; + c.tgt_pos.assign(n, -1); + for (size_t p = 0; p < a; p++) + c.tgt_pos[c.tgt_u[p]] = (int32_t)p; + c.gathered.resize(a * stride); + for (size_t p = 0; p < a; p++) { + const int32_t* src = idx.potentials32.data() + (size_t)ds.defects[c.tgt_u[p]] * stride; + for (size_t k = 0; k < stride; k++) + c.gathered[k * a + p] = src[k]; + } + c.label.assign(as, DIST_INF); + c.settled_mask.assign(as, 0); + c.pred_state.assign(as, INT32_MIN); + c.pred_hop.assign(as, -1); + if (!shared) + return; + c.cap = idx.d_lr + 1; + c.hint_shadow.assign(as, DIST_INF); + c.rows.resize(c.num_states * a); + c.reserve_states(c.num_states); + for (size_t s = 0; s < c.num_states; s++) { + c.row_state[s].store(RowCache::ROW_FREE, std::memory_order_relaxed); + c.hint[s].store(DIST_INF, std::memory_order_relaxed); + } + for (int32_t s : c.starts) + c.hint[s].store(0, std::memory_order_relaxed); + c.done.store(false, std::memory_order_relaxed); +} + +/// Prices the hops from state x (n is L) to every target into `row`, saturated at `cap`; the +/// hop from x to itself is not allowed and gets `cap`. Same prices as Pricer::begin_row. +template +void compute_row(const GapIndex& idx, const DualState& ds, const Pricer& pricer, const GapWorker& w, + const RowCache& c, RowScratch& sc, int32_t x, RowT* row, dist_int cap) { + const int32_t n = (int32_t)ds.num_defects(); + const size_t a = c.num_targets; + if (x == n) { + for (size_t p = 0; p < a; p++) + row[p] = (RowT)std::min(pricer.from_l(c.tgt_u[p]), cap); + return; + } + const size_t stride = idx.potential_stride(); + sc.lb.resize(a); + int32_t* lb32 = sc.lb.data(); + std::fill(lb32, lb32 + a, 0); + uint32_t ux = ds.defects[x]; + const int32_t* px = idx.potentials32.data() + (size_t)ux * stride; + for (size_t k = 0; k < stride; k++) { + const int32_t* col = c.gathered.data() + k * a; + int32_t pk = px[k]; + for (size_t p = 0; p < a; p++) { + int32_t diff = col[p] - pk; + diff = diff < 0 ? -diff : diff; + lb32[p] = diff > lb32[p] ? diff : lb32[p]; + } + } + for (size_t p = 0; p < a; p++) + row[p] = (RowT)std::min(pricer.reduce(x, c.tgt_u[p], lb32[p]), cap); + if (c.tgt_pos[x] >= 0) + row[c.tgt_pos[x]] = (RowT)cap; +} + +/// Prefetching thread: repeatedly claims the free state with the smallest published label and +/// prices its row, until thread 0 finishes the search. +void prefetch_rows(const GapIndex& idx, const DualState& ds, const Pricer& pricer, const GapWorker& w, RowCache& c, + RowScratch& sc) { + const size_t ns = c.num_states; + const size_t a = c.num_targets; + while (!c.done.load(std::memory_order_acquire)) { + int32_t pick = -1; + dist_int best = DIST_INF; + for (size_t s = 0; s < ns; s++) { + dist_int l = c.hint[s].load(std::memory_order_relaxed); + if (l < best && c.row_state[s].load(std::memory_order_relaxed) == RowCache::ROW_FREE) { + best = l; + pick = (int32_t)s; + } + } + if (pick < 0) { + cpu_relax(); + continue; + } + uint32_t expected = RowCache::ROW_FREE; + if (!c.row_state[pick].compare_exchange_strong(expected, RowCache::ROW_CLAIMED, std::memory_order_acq_rel)) + continue; + compute_row(idx, ds, pricer, w, c, sc, pick, c.rows.data() + (size_t)pick * a, c.cap); + c.row_state[pick].store(RowCache::ROW_READY, std::memory_order_release); + } +} + +/// Dense Dijkstra with index pricing: the same iterations, prices and tie-breaks as +/// exact_search (exact pricing). With `shared`, rows come from the prefetchers when ready. +template +SearchOutcome row_search(const GapIndex& idx, const DualState& ds, const Pricer& pricer, GapWorker& w, RowCache& c, + RowScratch& sc, dist_int tau) { + using RowT = typename std::conditional::type; + const int32_t n = (int32_t)ds.num_defects(); + const size_t a = c.num_targets; + const size_t as = c.num_state_targets; + dist_int* label = c.label.data(); + dist_int* mask = c.settled_mask.data(); + int32_t* pst = c.pred_state.data(); + int32_t* phop = c.pred_hop.data(); + const int32_t* tu = c.tgt_u.data(); + if constexpr (!shared) + sc.row.resize(a); + // First position holding the smallest unsettled label `m` (the smallest state index). + auto first_min = [&](dist_int m) { + size_t p = 0; + while (std::max(label[p], mask[p]) != m) + p++; + return (int32_t)p; + }; + size_t next_start = 0; + SearchOutcome out; + int64_t best_iter = -1; + // Smallest unsettled label; each relaxation pass computes it for the next iteration. + dist_int lmin = DIST_INF; + for (size_t p = 0; p < as; p++) + lmin = std::min(lmin, std::max(label[p], mask[p])); + int32_t next_px = -1; + for (int64_t iter = 0;; iter++) { + dist_int lx = lmin; + int32_t px = -1, x = -1; + if (lx < DIST_INF) { + px = next_px >= 0 ? next_px : first_min(lx); + x = c.tgt_state[px]; + } + if (next_start < c.starts.size() && (lx > 0 || c.starts[next_start] < x)) { + px = -1; + x = c.starts[next_start]; + lx = 0; + } + if (x < 0 || lx >= out.best || lx >= tau) { + out.stop_label = x < 0 ? DIST_INF : lx; + break; + } + if (px >= 0) + mask[px] = DIST_INF; + else + next_start++; + int32_t xs = x == n ? STATE_L : x; + // Move B: hop to R. + dist_int c_r = pricer.to_r(xs); + if (!is_inf(c_r) && better(lx + c_r, iter, END_R, out.best, best_iter, out.best_hop)) { + out.best = lx + c_r; + out.best_from = xs; + out.best_hop = END_R; + best_iter = iter; + } + // Row x: from a prefetcher, priced here, or (rarely) waited for. + const RowT* row; + if constexpr (!shared) { + compute_row(idx, ds, pricer, w, c, sc, x, sc.row.data(), DIST_INF); + row = sc.row.data(); + } else { + c.hint[x].store(DIST_INF, std::memory_order_relaxed); + int32_t* slot = c.rows.data() + (size_t)x * a; + uint32_t st = c.row_state[x].load(std::memory_order_acquire); + if (st == RowCache::ROW_FREE && + c.row_state[x].compare_exchange_strong(st, RowCache::ROW_CLAIMED, std::memory_order_acq_rel)) { + compute_row(idx, ds, pricer, w, c, sc, x, slot, c.cap); + c.row_state[x].store(RowCache::ROW_READY, std::memory_order_relaxed); + } else { + while (c.row_state[x].load(std::memory_order_acquire) != RowCache::ROW_READY) + cpu_relax(); + } + row = slot; + } + // Move A into a state: hop to u, relay to mate(u). Branch-free; a settled state (mate(x) + // in particular) never improves, since cand >= lx >= its label; INF prices never do. + dist_int nm = DIST_INF; + for (size_t p = 0; p < as; p++) { + dist_int cand = lx + (dist_int)row[p]; + bool imp = cand < label[p]; + label[p] = imp ? cand : label[p]; + pst[p] = imp ? xs : pst[p]; + phop[p] = imp ? tu[p] : phop[p]; + nm = std::min(nm, std::max(label[p], mask[p])); + } + lmin = nm; + next_px = -1; + if constexpr (shared) { + // Pull the next state's row towards this core while the rest of the iteration runs. + if (nm < DIST_INF) { + next_px = first_min(nm); + const int32_t* next_row = c.rows.data() + (size_t)c.tgt_state[next_px] * a; + for (size_t off = 0; off < a; off += 64 / sizeof(int32_t)) + __builtin_prefetch(next_row + off); + } + } + // Move A into R: the cheapest target wins, ties to the smallest defect index. + for (size_t p = as; p < a; p++) { + if (is_inf((dist_int)row[p])) + continue; + dist_int cand = lx + (dist_int)row[p]; + if (better(cand, iter, tu[p], out.best, best_iter, out.best_hop)) { + out.best = cand; + out.best_from = xs; + out.best_hop = tu[p]; + best_iter = iter; + } + } + if constexpr (shared) { + // Publish the labels that dropped, as the prefetchers' priorities. + dist_int* shadow = c.hint_shadow.data(); + for (size_t p = 0; p < as; p++) { + if (label[p] < shadow[p] && !mask[p]) { + shadow[p] = label[p]; + c.hint[c.tgt_state[p]].store(label[p], std::memory_order_relaxed); + } + } + } + } + for (size_t p = 0; p < as; p++) { + if (pst[p] != INT32_MIN) { + w.pred_state[c.tgt_state[p]] = pst[p]; + w.pred_hop[c.tgt_state[p]] = phop[p]; + } + } + return out; +} + +} // namespace + +GapDecoder::GapDecoder(std::shared_ptr index, size_t num_threads, bool pin_threads) + : index_(std::move(index)), team_(num_threads, pin_threads) { + if (!index_->finalized) + throw std::invalid_argument("GapIndex has no landmarks yet (call set_landmarks first)"); + worker_.mwpm = index_->make_mwpm(); + for (size_t t = 0; t < team_.size(); t++) + scratch_.push_back(std::make_unique()); +} + +GapResult GapDecoder::decode(const std::vector& detection_events, const DecodeOptions& options) { + GapResult res; + auto& w = worker_; + w.events.clear(); + for (auto d : detection_events) { + if (d != index_->spec.ref_obs_detector) + w.events.push_back(d); + } + decode_with(w, w.events, options, res); + return res; +} + +void GapDecoder::decode_batch( + const uint8_t* shots, + size_t num_shots, + size_t bytes_per_shot, + const DecodeOptions& options, + std::vector& out) { + out.resize(num_shots); + size_t num_detectors = index_->num_detectors(); + size_t ignored = index_->spec.ref_obs_detector; + auto& w = worker_; + for (size_t shot = 0; shot < num_shots; shot++) { + unpack_shot(shots + shot * bytes_per_shot, bytes_per_shot, num_detectors, ignored, w.events); + out[shot] = GapResult(); + decode_with(w, w.events, options, out[shot]); + } +} + +void GapDecoder::decode_with(GapWorker& w, const std::vector& events, const DecodeOptions& o, GapResult& res) { + const GapIndex& idx = *index_; + auto t0 = std::chrono::steady_clock::now(); + + // Stage 1: the ordinary, untruncated PyMatching decode, keeping the dual state. + extract_dual_state(w.mwpm, events, idx.spec.observable, w.ds, w.ds_scratch); + const DualState& ds = w.ds; + auto t1 = std::chrono::steady_clock::now(); + + pm::obs_int shift = (pm::obs_int)gauge_shift(idx.spec, events) << idx.spec.observable; + res.prediction = ds.obs_mask ^ shift; + res.w_star = ds.w_star; + res.num_defects = (uint32_t)ds.num_defects(); + res.num_blossoms = (uint32_t)ds.num_blossoms(); + if (o.check) + check_dual_invariants(idx, ds, w); + + // Stage 2: dense Dijkstra over the |D| + 2 states "standing at x" (CLAUDE.md §3.3). With + // several threads, thread 0 runs it while the others prefetch its price rows. + const int32_t n = (int32_t)ds.num_defects(); + const bool index_pricing = o.pricing == Pricing::INDEX; + // The shared rows hold int32 prices saturated at d_LR + 1, which must fit. + const bool parallel = index_pricing && team_.size() > 1 && (size_t)n >= parallel_grain && + idx.d_lr < (dist_int)std::numeric_limits::max() - 1; + Pricer pricer(idx, ds, w, o.pricing); + + w.pred_state.assign(n + 1, INT32_MIN); + w.pred_hop.assign(n + 1, -1); + for (int32_t j = 0; j < n; j++) { + if (ds.mate[j] == MATE_L) + w.pred_state[j] = PRED_FREE_RELAY; + } + dist_int tau = o.threshold >= 0 ? o.threshold : DIST_INF; + SearchOutcome so; + if (!index_pricing) { + // State index n is "standing at L". + w.label.assign(n + 1, DIST_INF); + w.settled.assign(n + 1, 0); + w.label[n] = 0; + for (int32_t j = 0; j < n; j++) { + if (ds.mate[j] == MATE_L) + w.label[j] = 0; + } + so = exact_search(ds, w, pricer, tau); + } else if (!parallel) { + setup_row_cache(idx, ds, cache_, false); + so = row_search(idx, ds, pricer, w, cache_, *scratch_[0], tau); + } else { + setup_row_cache(idx, ds, cache_, true); + team_.run(team_.size(), [&](size_t t) { + if (t == 0) { + so = row_search(idx, ds, pricer, w, cache_, *scratch_[0], tau); + cache_.done.store(true, std::memory_order_release); + } else { + prefetch_rows(idx, ds, pricer, w, cache_, *scratch_[t]); + } + }); + } + dist_int best = so.best; + int32_t best_from = so.best_from; + int32_t best_hop = so.best_hop; + dist_int stop_label = so.stop_label; + + if (best <= stop_label) { + res.gap_lb = best; + res.censored = false; + } else { + // Every unsettled label is >= tau, so the answer is >= tau (CLAUDE.md §3.6). + res.gap_lb = tau; + res.censored = true; + } + + // Reconstruct the walk P_H (only when it finished). + std::vector hops; + int32_t start_state = STATE_L; + if (!res.censored && best_from != INT32_MIN) { + auto make_hop = [&](int32_t a, int32_t b) { + InternalHop h{a, b, 0, 0, true}; + if (o.pricing == Pricing::EXACT) + pricer.begin_row(a); + if (a == STATE_L && b == END_R) { + h.price = h.dhat = idx.d_lr; + } else if (a == STATE_L) { + h.price = pricer.from_l(b); + h.dhat = idx.h_l[ds.defects[b]]; + } else if (b == END_R) { + h.price = pricer.to_r(a); + h.dhat = idx.h_r[ds.defects[a]]; + } else { + h.price = pricer.hop(a, b, h.exact, &h.dhat); + } + return h; + }; + hops.push_back(make_hop(best_from, best_hop)); + int32_t s = best_from; + while (s != STATE_L) { + int32_t p = w.pred_state[s]; + if (p == PRED_FREE_RELAY) { + start_state = s; + break; + } + hops.push_back(make_hop(p, w.pred_hop[s])); + s = p; + } + std::reverse(hops.begin(), hops.end()); + } + + if (!hops.empty()) { + // Node sequence z_0 = L, ..., z_last = R, with the type of the edge entering each node. + struct Step { + int32_t node; // defect index, STATE_L or END_R + bool via_hop; + }; + std::vector seq; + seq.push_back({STATE_L, false}); + if (start_state != STATE_L) + seq.push_back({start_state, false}); + for (auto& h : hops) { + seq.push_back({h.to, true}); + if (h.to != END_R) { + int32_t m = ds.mate[h.to]; + seq.push_back({m >= 0 ? m : END_R, false}); + } + } + res.num_hops = (uint32_t)hops.size(); + res.all_hops_exact = std::all_of(hops.begin(), hops.end(), [](const InternalHop& h) { return h.exact; }); + + // Simple: every defect at most once. + std::vector visited; + for (auto& st : seq) { + if (st.node >= 0) + visited.push_back(st.node); + } + std::sort(visited.begin(), visited.end()); + res.walk_simple = std::adjacent_find(visited.begin(), visited.end()) == visited.end(); + + // Blossom passes: runs inside a blossom S entered and left by hops (n_S of §3.2). + if (ds.num_blossoms() > 0) { + std::vector blossoms; + for (auto v : visited) { + for (uint32_t a = ds.anc_offset[v]; a < ds.anc_offset[v + 1]; a++) + blossoms.push_back(ds.anc_blossom[a]); + } + std::sort(blossoms.begin(), blossoms.end()); + blossoms.erase(std::unique(blossoms.begin(), blossoms.end()), blossoms.end()); + auto in_blossom = [&](int32_t v, int32_t b) { + if (v < 0) + return false; + for (uint32_t a = ds.anc_offset[v]; a < ds.anc_offset[v + 1]; a++) { + if (ds.anc_blossom[a] == b) + return true; + } + return false; + }; + for (auto b : blossoms) { + for (size_t p = 0; p < seq.size(); p++) { + if (!in_blossom(seq[p].node, b) || (p > 0 && in_blossom(seq[p - 1].node, b))) + continue; + size_t q = p; + while (q + 1 < seq.size() && in_blossom(seq[q + 1].node, b)) + q++; + if (seq[p].via_hop && q + 1 < seq.size() && seq[q + 1].via_hop) + res.blossom_pass = true; + } + } + } + + // Upper bound Delta_h on the same walk (CLAUDE.md §3.5). + if (o.upper_bound) { + dist_int ub = 0, slack = 0; + for (auto& h : hops) { + dist_int d; + if (h.from == STATE_L && h.to == END_R) { + d = idx.d_lr; + } else if (h.from == STATE_L) { + d = idx.h_l[ds.defects[h.to]]; + } else if (h.to == END_R) { + d = idx.h_r[ds.defects[h.from]]; + } else if (h.exact) { + d = h.dhat; + } else { + d = idx.exact_distance(ds.defects[h.from], ds.defects[h.to], w.astar); + } + if (is_inf(d)) { + ub = DIST_INF; + break; + } + if (o.check && d < h.dhat) + throw InvariantViolation("d_hat exceeds the exact hop distance"); + slack += d - h.dhat; + dist_int ra = h.from >= 0 ? ds.r(h.from) : 0; + dist_int rb = h.to >= 0 ? ds.r(h.to) : 0; + ub += d - ra - rb; + } + res.hop_slack = is_inf(ub) ? -1 : slack; + res.gap_ub = (res.walk_simple && !is_inf(ub)) ? ub : DIST_INF; + if (o.check && res.gap_ub < res.gap_lb) + throw InvariantViolation("gap_ub < gap_lb"); + } + + if (o.keep_walk) { + auto code = [&](int32_t v) -> int64_t { + if (v == STATE_L) + return -1; + if (v == END_R) + return -2; + return ds.defects[v]; + }; + for (auto& h : hops) + res.walk.push_back({code(h.from), code(h.to), h.price, h.exact}); + } + } + auto t2 = std::chrono::steady_clock::now(); + res.t_decode_ns = elapsed_ns(t0, t1); + res.t_gap_ns = elapsed_ns(t1, t2); +} + +} // namespace fastgap +} // namespace pm diff --git a/src/pymatching/fastgap/gap_decoder.h b/src/pymatching/fastgap/gap_decoder.h new file mode 100644 index 000000000..f8a81e5b2 --- /dev/null +++ b/src/pymatching/fastgap/gap_decoder.h @@ -0,0 +1,193 @@ +// Copyright 2026 fastgap contributors +// +// Licensed under the Apache License, Version 2.0 (the "License"); +// you may not use this file except in compliance with the License. +// You may obtain a copy of the License at +// +// http://www.apache.org/licenses/LICENSE-2.0 +// +// Unless required by applicable law or agreed to in writing, software +// distributed under the License is distributed on an "AS IS" BASIS, +// WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +// See the License for the specific language governing permissions and +// limitations under the License. + +#ifndef PYMATCHING2_FASTGAP_GAP_DECODER_H +#define PYMATCHING2_FASTGAP_GAP_DECODER_H + +#include +#include +#include +#include + +#include "pymatching/fastgap/dual_state.h" +#include "pymatching/fastgap/gap_index.h" +#include "pymatching/fastgap/thread_pool.h" + +namespace pm { +namespace fastgap { + +enum class Pricing : uint8_t { + /// sigma_hat from the landmark bound (CLAUDE.md §3.4): the number fastgap reports. + INDEX = 0, + /// Exact sigma from a per-shot Dijkstra: the slow reference Delta_sigma (CLAUDE.md §5.2). + EXACT = 1, +}; + +struct DecodeOptions { + /// Early-termination threshold tau in internal units (CLAUDE.md §3.6); < 0 means none. + dist_int threshold = -1; + /// Compute gap_ub (CLAUDE.md §3.5). + bool upper_bound = false; + Pricing pricing = Pricing::INDEX; + /// Run the §5.1 debug invariants on every shot (always on in tests). + bool check = CHECKS_DEFAULT_ON; + /// Keep the walk in the result (single-shot API). + bool keep_walk = false; +}; + +/// One step of the returned walk P_H: a hop from `from` to `to`. Endpoints are detector ids, or +/// -1 for L and -2 for R. +struct Hop { + int64_t from; + int64_t to; + dist_int price; // c(from, to) used by the search + bool exact; // the price used an exact distance +}; + +struct GapResult { + pm::obs_int prediction = 0; // original (un-gauged) observable labels + dist_int w_star = 0; + dist_int gap_lb = 0; + dist_int gap_ub = DIST_INF; + bool censored = false; + bool walk_simple = false; + bool all_hops_exact = false; + bool blossom_pass = false; // some hop-in/hop-out run through a blossom + uint32_t num_defects = 0; + uint32_t num_blossoms = 0; + uint32_t num_hops = 0; + dist_int hop_slack = -1; // sum over hops of (dist - d_hat), only with upper_bound + int64_t t_decode_ns = 0; + int64_t t_gap_ns = 0; + std::vector walk; +}; + +/// Decoder state: the Mwpm plus scratch buffers reused across shots. +struct GapWorker { + pm::Mwpm mwpm; + DualState ds; + DualStateScratch ds_scratch; + std::vector events; + std::vector label; + std::vector settled; + std::vector pred_state; + std::vector pred_hop; + std::vector row; // exact pricing: distances from the current state to all detectors + InteriorGraph::AStarScratch astar; + // Per-shot pricing scratch. + std::vector act; // exact pricing: active hop targets (defect indices), compacted + std::vector pos; // exact pricing: position of each defect in `act`, or -1 + std::vector top; // top-level blossom of each defect, -1 if none +}; + +/// State of one shot's search with index pricing (CLAUDE.md §3.3, §3.4). +/// +/// Every hop target u (a defect not matched to L) leads, by its relay, to exactly one place: +/// the state mate(u), or R. Labels are therefore stored per target position, which makes +/// relaxing a row one contiguous, branch-free pass. Targets leading to states come first, +/// sorted by state index (so the first minimum is the serial tie-break), then targets leading to +/// R, sorted by defect index. The start states (L, and defects matched to L) all have label 0 +/// and are never relaxed, so they are kept in a separate sorted list. +/// +/// With several threads, thread 0 runs the search while the others prefetch price rows "standing +/// at x" for the unsettled states with the smallest labels, the ones thread 0 settles next. A +/// row's content does not depend on who priced it, so results never depend on the thread count. +struct RowCache { + static constexpr uint32_t ROW_FREE = 0, ROW_CLAIMED = 1, ROW_READY = 2; + size_t num_states = 0; // n + 1 (state n is "standing at L") + size_t num_targets = 0; + size_t num_state_targets = 0; // targets [0, num_state_targets) lead to a state + std::vector tgt_u; // target defect, per position + std::vector tgt_state; // state reached by the relay, per position < num_state_targets + std::vector tgt_pos; // position of each defect among the targets, or -1 + std::vector starts; // start states, ascending + std::vector gathered; // target potentials, potential-major (k * num_targets + p) + // Thread 0's search state, per target position. + std::vector label; + std::vector settled_mask; // 0, or DIST_INF once the state is settled + std::vector pred_state; + std::vector pred_hop; + std::vector hint_shadow; // last label published to `hint`, per target position + // Shared with the prefetchers. Rows are stored as int32, saturated at `cap` = d_LR + 1: the + // answer is at most d_LR, so a state whose label reaches d_LR + 1 is never settled, never on + // the walk, and never the answer, and saturation changes nothing that is reported. + dist_int cap = DIST_INF; + std::vector rows; // num_states x num_targets prices + std::unique_ptr[]> row_state; + std::unique_ptr[]> hint; // label published by thread 0 (INF once settled) + size_t capacity = 0; + std::atomic done{false}; + + void reserve_states(size_t n) { + if (n <= capacity) + return; + capacity = std::max(n, 2 * capacity); + row_state = std::make_unique[]>(capacity); + hint = std::make_unique[]>(capacity); + } +}; + +/// Per-thread scratch for pricing one row. +struct alignas(64) RowScratch { + std::vector lb; + std::vector row; // single-threaded search: the current row +}; + +class GapDecoder { + public: + /// `num_threads` threads cooperate on each shot's gap search (intra-shot parallelism); shots + /// are always decoded one after another. + GapDecoder(std::shared_ptr index, size_t num_threads = 1, bool pin_threads = false); + + /// Decode one shot given as detection-event indices. + GapResult decode(const std::vector& detection_events, const DecodeOptions& options); + + /// Decode `num_shots` bit-packed shots (`bytes_per_shot` bytes each, little-endian bit order as + /// produced by stim), in order. `out` is resized to num_shots. + void decode_batch( + const uint8_t* shots, + size_t num_shots, + size_t bytes_per_shot, + const DecodeOptions& options, + std::vector& out); + + const GapIndex& index() const { + return *index_; + } + size_t num_threads() const { + return team_.size(); + } + + /// Shots with fewer than `parallel_grain` defects are searched on one thread (the row + /// prefetchers cannot get ahead on tiny shots). Results never depend on it. + size_t parallel_grain = 16; + + private: + void decode_with(GapWorker& w, const std::vector& events, const DecodeOptions& o, GapResult& res); + std::shared_ptr index_; + SpinTeam team_; + GapWorker worker_; + RowCache cache_; + std::vector> scratch_; +}; + +/// Unpacks one bit-packed shot into detection events (dropping `ignored_detector` if given). +void unpack_shot( + const uint8_t* shot, size_t bytes_per_shot, size_t num_detectors, size_t ignored_detector, + std::vector& out); + +} // namespace fastgap +} // namespace pm + +#endif // PYMATCHING2_FASTGAP_GAP_DECODER_H diff --git a/src/pymatching/fastgap/gap_decoder.test.cc b/src/pymatching/fastgap/gap_decoder.test.cc new file mode 100644 index 000000000..86fabd273 --- /dev/null +++ b/src/pymatching/fastgap/gap_decoder.test.cc @@ -0,0 +1,295 @@ +// Copyright 2026 fastgap contributors +// +// Licensed under the Apache License, Version 2.0 (the "License"); +// you may not use this file except in compliance with the License. +// You may obtain a copy of the License at +// +// http://www.apache.org/licenses/LICENSE-2.0 +// +// Unless required by applicable law or agreed to in writing, software +// distributed under the License is distributed on an "AS IS" BASIS, +// WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +// See the License for the specific language governing permissions and +// limitations under the License. + +#include "pymatching/fastgap/gap_decoder.h" + +#include + +#include + +#include "pymatching/fastgap/exact.h" +#include "pymatching/fastgap/fastgap_test_util.test.h" +#include "pymatching/sparse_blossom/driver/mwpm_decoding.h" + +using namespace pm::fastgap; + +namespace { + +std::vector pack(const std::vector>& shots, size_t bytes) { + std::vector out(shots.size() * bytes, 0); + for (size_t s = 0; s < shots.size(); s++) { + for (auto d : shots[s]) + out[s * bytes + d / 8] |= (uint8_t)(1 << (d % 8)); + } + return out; +} + +struct Counts { + size_t shots = 0, simple = 0, lb_equals_exact = 0, blossom = 0; +}; + +/// The full §9.1 chain on one DEM: gap_lb <= Delta_sigma <= Delta == brute force == baseline, and +/// gap_ub >= Delta whenever the walk is simple. +Counts tiny_exact_chain(const stim::DetectorErrorModel& dem, size_t shots, uint64_t seed, size_t num_landmarks) { + auto idx = testutil::make_index(dem, num_landmarks); + GapDecoder dec(idx, 1); + ExactBaseline baseline(idx); + pm::Mwpm upstream = pm::detector_error_model_to_mwpm(dem, pm::NUM_DISTINCT_WEIGHTS); + std::mt19937_64 rng(seed); + DecodeOptions lb_opts; + lb_opts.upper_bound = true; + lb_opts.check = true; + DecodeOptions sigma_opts = lb_opts; + sigma_opts.pricing = Pricing::EXACT; + Counts c; + for (size_t s = 0; s < shots; s++) { + auto events = testutil::sample_dem(dem, rng); + if (events.size() > 16) + continue; + c.shots++; + auto lb = dec.decode(events, lb_opts); + auto sigma = dec.decode(events, sigma_opts); + auto brute = brute_force_gap(*idx, events); + auto exact = baseline.decode(events); + auto ref = pm::decode_detection_events_for_up_to_64_observables(upstream, events, false); + + // Upstream parity (rule 3). + EXPECT_EQ(lb.w_star, ref.weight); + EXPECT_EQ(lb.prediction, ref.obs_mask); + // The exact references agree with each other and with the decoder. + EXPECT_EQ(exact.gap, brute.gap); + EXPECT_EQ(exact.w_star, brute.w_star); + EXPECT_EQ(exact.w_star, lb.w_star); + if (exact.gap > 0) + EXPECT_EQ(exact.prediction, lb.prediction & 1); + // Soundness (rule 1) in integer internal units. + EXPECT_LE(lb.gap_lb, sigma.gap_lb); + EXPECT_LE(sigma.gap_lb, exact.gap); + if (lb.walk_simple) { + EXPECT_GE(lb.gap_ub, exact.gap); + c.simple++; + } + if (sigma.walk_simple) + EXPECT_GE(sigma.gap_ub, exact.gap); + c.lb_equals_exact += lb.gap_lb == exact.gap; + c.blossom += lb.num_blossoms > 0; + } + return c; +} + +} // namespace + +TEST(FastgapDecoder, NoDefectsGivesLightestLogical) { + stim::DetectorErrorModel dem(R"DEM( + error(0.1) D0 L0 + error(0.1) D0 D1 + error(0.05) D1 D2 + error(0.1) D2 + )DEM"); + auto idx = testutil::make_index(dem); + GapDecoder dec(idx, 1); + DecodeOptions o; + o.upper_bound = true; + auto r = dec.decode({}, o); + EXPECT_EQ(r.gap_lb, idx->d_lr); + EXPECT_EQ(r.gap_ub, idx->d_lr); + EXPECT_TRUE(r.walk_simple); + EXPECT_EQ(r.num_hops, 1u); +} + +TEST(FastgapDecoder, RepetitionCodeHandComputed) { + // Chain L - D0 - D1 - D2 - R with equal weights w. One defect at D0: matched to L (weight w); + // the complement matches it to R (weight 3w), so the gap is 2w. + stim::DetectorErrorModel dem(R"DEM( + error(0.1) D0 L0 + error(0.1) D0 D1 + error(0.1) D1 D2 + error(0.1) D2 + )DEM"); + auto idx = testutil::make_index(dem); + GapDecoder dec(idx, 1); + DecodeOptions o; + o.upper_bound = true; + auto r = dec.decode({0}, o); + dist_int w = idx->graph.boundary_weight[0]; + EXPECT_EQ(r.w_star, w); + EXPECT_EQ(r.gap_lb, 2 * w); + EXPECT_EQ(r.gap_ub, 2 * w); + EXPECT_EQ(r.prediction, 1u); +} + +TEST(FastgapDecoder, TinyExactRandomGrids) { + std::mt19937_64 rng(1234); + Counts total; + for (int trial = 0; trial < 16; trial++) { + auto dem = testutil::random_grid_dem(rng, 3 + trial % 4, 3 + trial % 3, 0.5, 0.02, 0.25); + for (size_t k : {(size_t)0, (size_t)3}) { + auto c = tiny_exact_chain(dem, 80, trial * 31 + k, k); + total.shots += c.shots; + total.simple += c.simple; + total.lb_equals_exact += c.lb_equals_exact; + total.blossom += c.blossom; + } + } + EXPECT_GT(total.shots, 1000u); + EXPECT_GT(total.blossom, 0u); + EXPECT_GT(total.simple, total.shots / 2); +} + +TEST(FastgapDecoder, EveryNodeALandmarkGivesExactSigma) { + std::mt19937_64 rng(77); + for (int trial = 0; trial < 6; trial++) { + auto dem = testutil::random_grid_dem(rng, 5, 4, 0.5); + auto idx = GapIndex::create_from_dem(dem.str(), 0); + std::vector sources; + for (uint32_t v = 0; v < idx->graph.num_nodes; v++) + sources.push_back({"node" + std::to_string(v), {v}}); + idx->set_landmarks(sources, "{}"); + GapDecoder dec(idx, 1); + DecodeOptions a, b; + b.pricing = Pricing::EXACT; + for (int s = 0; s < 100; s++) { + auto events = testutil::sample_dem(dem, rng); + auto ra = dec.decode(events, a); + auto rb = dec.decode(events, b); + EXPECT_EQ(ra.gap_lb, rb.gap_lb); + } + } +} + +TEST(FastgapDecoder, ThresholdCensoring) { + std::mt19937_64 rng(5); + auto dem = testutil::random_grid_dem(rng, 6, 5, 0.3); + auto idx = testutil::make_index(dem); + GapDecoder dec(idx, 1); + for (int s = 0; s < 300; s++) { + auto events = testutil::sample_dem(dem, rng); + auto full = dec.decode(events, DecodeOptions()); + for (dist_int tau : {full.gap_lb / 2, full.gap_lb, full.gap_lb + 1, full.gap_lb * 2 + 1}) { + DecodeOptions o; + o.threshold = tau; + auto r = dec.decode(events, o); + if (r.censored) { + EXPECT_EQ(r.gap_lb, tau); + EXPECT_GE(full.gap_lb, tau); + } else { + EXPECT_EQ(r.gap_lb, full.gap_lb); + } + // Post-selection decision is never wrong. + EXPECT_EQ(r.gap_lb >= tau, full.gap_lb >= tau); + } + } +} + +TEST(FastgapDecoder, BatchAndThreadsMatchSingleShot) { + auto dem = testutil::surface_code_dem(5, 5, 0.01, "rotated_memory_x"); + auto idx = testutil::make_index(dem); + std::mt19937_64 rng(9); + std::vector> shots; + for (int s = 0; s < 300; s++) + shots.push_back(testutil::sample_dem(dem, rng)); + // Many very large shots, so the default grain also takes the parallel search path. + for (int s = 0; s < 40; s++) { + std::vector big; + for (uint64_t d = s % 3; d < idx->num_detectors(); d += 3) + big.push_back(d); + if (big.size() % 2) + big.pop_back(); + shots.push_back(big); + } + size_t bytes = (idx->num_detectors() + 7) / 8; + auto packed = pack(shots, bytes); + DecodeOptions o; + o.upper_bound = true; + o.check = false; + o.keep_walk = true; + GapDecoder single(idx, 1); + std::vector batch1; + single.decode_batch(packed.data(), shots.size(), bytes, o, batch1); + // Every thread count and grain must reproduce the single-threaded search exactly, walk + // included (ties are broken independently of the partition). Grain 1 forces the parallel + // search even on shots with a handful of defects. + for (size_t threads : {2u, 3u, 4u, 7u}) { + for (size_t grain : {1u, 16u}) { + GapDecoder multi(idx, threads); + multi.parallel_grain = grain; + std::vector batch; + multi.decode_batch(packed.data(), shots.size(), bytes, o, batch); + for (size_t s = 0; s < shots.size(); s++) { + // Unsorted events exercise the target layout of each thread. + auto shuffled = shots[s]; + std::shuffle(shuffled.begin(), shuffled.end(), rng); + auto r = single.decode(shots[s], o); + auto rm = multi.decode(shuffled, o); + auto rs = single.decode(shuffled, o); + for (auto* other : {&batch1[s], &batch[s]}) { + EXPECT_EQ(other->gap_lb, r.gap_lb); + EXPECT_EQ(other->gap_ub, r.gap_ub); + EXPECT_EQ(other->w_star, r.w_star); + EXPECT_EQ(other->prediction, r.prediction); + EXPECT_EQ(other->walk_simple, r.walk_simple); + ASSERT_EQ(other->walk.size(), r.walk.size()); + for (size_t h = 0; h < r.walk.size(); h++) { + EXPECT_EQ(other->walk[h].from, r.walk[h].from); + EXPECT_EQ(other->walk[h].to, r.walk[h].to); + EXPECT_EQ(other->walk[h].price, r.walk[h].price); + } + } + EXPECT_EQ(rm.gap_lb, rs.gap_lb); + EXPECT_EQ(rm.gap_ub, rs.gap_ub); + EXPECT_EQ(rm.prediction, rs.prediction); + ASSERT_EQ(rm.walk.size(), rs.walk.size()); + for (size_t h = 0; h < rs.walk.size(); h++) { + EXPECT_EQ(rm.walk[h].from, rs.walk[h].from); + EXPECT_EQ(rm.walk[h].to, rs.walk[h].to); + } + // Early termination agrees too. + DecodeOptions ot = o; + ot.threshold = r.gap_lb / 2 + 1; + auto c1 = single.decode(shots[s], ot); + auto cm = multi.decode(shots[s], ot); + EXPECT_EQ(c1.gap_lb, cm.gap_lb); + EXPECT_EQ(c1.censored, cm.censored); + } + } + } +} + +TEST(FastgapDecoder, SurfaceCodeSoundness) { + for (auto task : {"rotated_memory_x", "rotated_memory_z"}) { + for (uint32_t d : {3u, 5u}) { + auto dem = testutil::surface_code_dem(d, d, 0.01, task); + auto idx = testutil::make_index(dem); + GapDecoder dec(idx, 1); + ExactBaseline baseline(idx); + std::mt19937_64 rng(d); + DecodeOptions o; + o.upper_bound = true; + o.check = true; + size_t blossoms = 0; + for (int s = 0; s < 300; s++) { + auto events = testutil::sample_dem(dem, rng); + auto r = dec.decode(events, o); + auto e = baseline.decode(events); + ASSERT_LE(r.gap_lb, e.gap); + if (r.walk_simple) + ASSERT_GE(r.gap_ub, e.gap); + ASSERT_EQ(r.w_star, e.w_star); + blossoms += r.num_blossoms > 0; + } + EXPECT_GT(blossoms, 0u); + } + } +} + diff --git a/src/pymatching/fastgap/gap_index.cc b/src/pymatching/fastgap/gap_index.cc new file mode 100644 index 000000000..7c4edecce --- /dev/null +++ b/src/pymatching/fastgap/gap_index.cc @@ -0,0 +1,304 @@ +// Copyright 2026 fastgap contributors +// +// Licensed under the Apache License, Version 2.0 (the "License"); +// you may not use this file except in compliance with the License. +// You may obtain a copy of the License at +// +// http://www.apache.org/licenses/LICENSE-2.0 +// +// Unless required by applicable law or agreed to in writing, software +// distributed under the License is distributed on an "AS IS" BASIS, +// WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +// See the License for the specific language governing permissions and +// limitations under the License. + +#include "pymatching/fastgap/gap_index.h" + +#include +#include +#include +#include + +namespace pm { +namespace fastgap { + +uint64_t fnv1a(const void* data, size_t len, uint64_t h) { + auto p = (const uint8_t*)data; + for (size_t i = 0; i < len; i++) { + h ^= p[i]; + h *= 1099511628211ULL; + } + return h; +} + +void GapIndex::build_graph() { + decode_user_graph = make_decode_user_graph(spec); + pm::Mwpm mwpm = decode_user_graph.to_mwpm(pm::NUM_DISTINCT_WEIGHTS, false); + if (mwpm.flooder.negative_weight_sum != 0 || !mwpm.flooder.negative_weight_detection_events.empty()) + throw std::invalid_argument("fastgap v1 does not support negative edge weights."); + graph = InteriorGraph::from_matching_graph(mwpm.flooder.graph, spec.observable); + if (graph.num_nodes < spec.num_detectors) + throw std::logic_error("decode graph has fewer nodes than the DEM has detectors"); + h_l = graph.side_potential(SIDE_L); + h_r = graph.side_potential(SIDE_R); + + // The exact baseline graph must share the internal units (CLAUDE.md §2.3). It also carries + // any detector-free L-R mechanism, as a boundary edge of the observable detector. + pm::UserGraph baseline = make_baseline_user_graph(spec); + pm::MatchingGraph bg = baseline.to_matching_graph(pm::NUM_DISTINCT_WEIGHTS); + if (bg.normalising_constant != graph.normalising_constant) + throw std::invalid_argument( + "The exact-baseline graph and fastgap's decode graph have different normalising constants (" + + std::to_string(bg.normalising_constant) + " vs " + std::to_string(graph.normalising_constant) + + "), so their internal units differ. This happens when a detector-free error that flips the " + "observable is the heaviest edge; it is not supported."); + d_lr = DIST_INF; + size_t obs_det = spec.baseline_obs_detector(); + if (obs_det < bg.nodes.size()) { + auto& node = bg.nodes[obs_det]; + for (size_t j = 0; j < node.neighbors.size(); j++) { + if (node.neighbors[j] == nullptr) + d_lr = std::min(d_lr, (dist_int)node.neighbor_weights[j]); + } + } + for (size_t x = 0; x < graph.num_nodes; x++) { + if (!is_inf(h_l[x]) && !is_inf(h_r[x])) + d_lr = std::min(d_lr, h_l[x] + h_r[x]); + } +} + +std::shared_ptr GapIndex::create_from_dem(const std::string& dem_text, size_t observable) { + auto idx = std::make_shared(); + idx->dem_text = dem_text; + idx->spec = canonicalize_dem(stim::DetectorErrorModel(dem_text), observable); + idx->build_graph(); + return idx; +} + +std::shared_ptr GapIndex::create_from_reference_edges( + size_t num_detectors, size_t obs_detector, std::vector edges) { + auto idx = std::make_shared(); + idx->spec = spec_from_reference_edges(num_detectors, obs_detector, std::move(edges)); + idx->build_graph(); + return idx; +} + +void GapIndex::set_landmarks(std::vector sources, const std::string& config) { + size_t n = graph.num_nodes; + for (auto& s : sources) { + if (s.nodes.empty()) + throw std::invalid_argument("landmark '" + s.label + "' has no nodes"); + for (auto v : s.nodes) { + if (v >= n) + throw std::invalid_argument("landmark '" + s.label + "' refers to a node outside the graph"); + } + } + landmarks = std::move(sources); + strategy_config = config; + uint64_t h = fnv1a(config.data(), config.size()); + for (auto& s : landmarks) { + h = fnv1a(s.label.data(), s.label.size(), h); + h = fnv1a(s.nodes.data(), s.nodes.size() * sizeof(uint32_t), h); + } + strategy_hash = h; + + // Potentials, node-major. + size_t k = potential_stride(); + potentials.assign(n * k, DIST_INF); + for (size_t x = 0; x < n; x++) { + potentials[x * k + 0] = h_l[x]; + potentials[x * k + 1] = h_r[x]; + } + for (size_t l = 0; l < landmarks.size(); l++) { + std::vector> init; + for (auto v : landmarks[l].nodes) + init.push_back({v, 0}); + auto d = graph.dijkstra(init); + for (size_t x = 0; x < n; x++) + potentials[x * k + 2 + l] = d[x]; + } + + derive_saturated_potentials(); + finalized = true; +} + +void GapIndex::derive_saturated_potentials() { + potentials32.resize(potentials.size()); + for (size_t i = 0; i < potentials.size(); i++) + potentials32[i] = saturate_potential(potentials[i]); +} + +dist_int GapIndex::exact_distance(uint32_t u, uint32_t v, InteriorGraph::AStarScratch& scratch) const { + if (u == v) + return 0; + return graph.astar(u, v, [&](uint32_t x) { return lower_bound(x, v); }, scratch); +} + +pm::Mwpm GapIndex::make_mwpm() const { + std::lock_guard lock(user_graph_mutex); + return decode_user_graph.to_mwpm(pm::NUM_DISTINCT_WEIGHTS, false); +} + +size_t GapIndex::potential_bytes() const { + return potentials.size() * sizeof(dist_int) + potentials32.size() * sizeof(int32_t); +} + +// --------------------------------------------------------------------------------------------- +// Serialisation. Little-endian raw dumps; the graph is rebuilt from the source on load and its +// fingerprint is compared, so a stale or mismatched index file is rejected. + +namespace { + +constexpr char MAGIC[8] = {'F', 'A', 'S', 'T', 'G', 'A', 'P', '1'}; +// Version 2 dropped the local distance tables. +constexpr uint32_t FORMAT_VERSION = 2; + +struct Writer { + std::ofstream out; + explicit Writer(const std::string& path) : out(path, std::ios::binary) { + if (!out) + throw std::runtime_error("cannot open '" + path + "' for writing"); + } + template + void pod(const T& v) { + out.write((const char*)&v, sizeof(T)); + } + void str(const std::string& s) { + pod(s.size()); + out.write(s.data(), s.size()); + } + template + void vec(const std::vector& v) { + pod(v.size()); + out.write((const char*)v.data(), v.size() * sizeof(T)); + } +}; + +struct Reader { + std::ifstream in; + explicit Reader(const std::string& path) : in(path, std::ios::binary) { + if (!in) + throw std::runtime_error("cannot open '" + path + "' for reading"); + } + void check() { + if (!in) + throw std::runtime_error("truncated or corrupt fastgap index file"); + } + template + T pod() { + T v; + in.read((char*)&v, sizeof(T)); + check(); + return v; + } + std::string str() { + auto n = pod(); + std::string s(n, '\0'); + in.read(s.data(), n); + check(); + return s; + } + template + std::vector vec() { + auto n = pod(); + std::vector v(n); + in.read((char*)v.data(), n * sizeof(T)); + check(); + return v; + } +}; + +} // namespace + +void GapIndex::save(const std::string& path) const { + if (!finalized) + throw std::logic_error("cannot save an index before set_landmarks"); + Writer w(path); + w.out.write(MAGIC, sizeof(MAGIC)); + w.pod(FORMAT_VERSION); + w.pod(spec.kind); + w.pod(spec.observable); + if (spec.kind == GraphSpec::FROM_DEM) { + w.str(dem_text); + } else { + w.pod(spec.num_detectors); + w.pod(spec.ref_obs_detector); + w.pod(spec.ref_edges.size()); + for (auto& e : spec.ref_edges) { + w.pod(e.u); + w.pod(e.v); + w.pod(e.side_l); + w.pod(e.weight); + w.pod(e.error_probability); + } + } + w.pod(graph.fingerprint()); + w.pod(d_lr); + w.str(strategy_config); + w.pod(strategy_hash); + w.pod(landmarks.size()); + for (auto& s : landmarks) { + w.str(s.label); + w.vec(s.nodes); + } + w.vec(potentials); + if (!w.out) + throw std::runtime_error("error while writing '" + path + "'"); +} + +std::shared_ptr GapIndex::load(const std::string& path) { + Reader r(path); + char magic[8]; + r.in.read(magic, 8); + r.check(); + if (std::memcmp(magic, MAGIC, 8) != 0) + throw std::runtime_error("'" + path + "' is not a fastgap index file"); + if (r.pod() != FORMAT_VERSION) + throw std::runtime_error("unsupported fastgap index format version"); + auto kind = (GraphSpec::Kind)r.pod(); + auto observable = r.pod(); + std::shared_ptr idx; + if (kind == GraphSpec::FROM_DEM) { + idx = create_from_dem(r.str(), observable); + } else { + auto num_detectors = r.pod(); + auto obs_detector = r.pod(); + std::vector edges(r.pod()); + for (auto& e : edges) { + e.u = r.pod(); + e.v = r.pod(); + e.side_l = r.pod() != 0; + e.weight = r.pod(); + e.error_probability = r.pod(); + } + idx = create_from_reference_edges(num_detectors, obs_detector, std::move(edges)); + } + if (r.pod() != idx->graph.fingerprint()) + throw std::runtime_error("fastgap index file does not match the graph rebuilt from its source"); + if (r.pod() != idx->d_lr) + throw std::runtime_error("fastgap index file has a different d_LR than the rebuilt graph"); + idx->strategy_config = r.str(); + idx->strategy_hash = r.pod(); + auto num_landmarks = r.pod(); + for (uint64_t i = 0; i < num_landmarks; i++) { + LandmarkSource s; + s.label = r.str(); + s.nodes = r.vec(); + idx->landmarks.push_back(std::move(s)); + } + idx->potentials = r.vec(); + size_t n = idx->graph.num_nodes; + if (idx->potentials.size() != n * idx->potential_stride()) + throw std::runtime_error("fastgap index file has inconsistent array sizes"); + for (size_t x = 0; x < n; x++) { + if (idx->potentials[x * idx->potential_stride()] != idx->h_l[x] || + idx->potentials[x * idx->potential_stride() + 1] != idx->h_r[x]) + throw std::runtime_error("fastgap index file has boundary potentials that do not match the graph"); + } + idx->derive_saturated_potentials(); + idx->finalized = true; + return idx; +} + +} // namespace fastgap +} // namespace pm diff --git a/src/pymatching/fastgap/gap_index.h b/src/pymatching/fastgap/gap_index.h new file mode 100644 index 000000000..8a108cc11 --- /dev/null +++ b/src/pymatching/fastgap/gap_index.h @@ -0,0 +1,136 @@ +// Copyright 2026 fastgap contributors +// +// Licensed under the Apache License, Version 2.0 (the "License"); +// you may not use this file except in compliance with the License. +// You may obtain a copy of the License at +// +// http://www.apache.org/licenses/LICENSE-2.0 +// +// Unless required by applicable law or agreed to in writing, software +// distributed under the License is distributed on an "AS IS" BASIS, +// WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +// See the License for the specific language governing permissions and +// limitations under the License. + +#ifndef PYMATCHING2_FASTGAP_GAP_INDEX_H +#define PYMATCHING2_FASTGAP_GAP_INDEX_H + +#include +#include +#include +#include + +#include "pymatching/fastgap/canonical.h" +#include "pymatching/fastgap/interior_graph.h" + +namespace pm { +namespace fastgap { + +/// Potentials used for pricing are saturated at POTENTIAL_CAP and stored as int32 (CLAUDE.md +/// §2.1): |min(a, C) - min(b, C)| <= |a - b|, so the bound stays valid, and unreachable entries +/// all become C, so a landmark that reaches neither node contributes 0. +constexpr int32_t POTENTIAL_CAP = std::numeric_limits::max(); + +inline int32_t saturate_potential(dist_int v) { + return v >= (dist_int)POTENTIAL_CAP ? POTENTIAL_CAP : (int32_t)v; +} + +/// max_i |pu[i] - pv[i]| over two saturated potential rows (branch-free, vectorisable). +inline dist_int lower_bound_rows(const int32_t* pu, const int32_t* pv, size_t k) { + int32_t best = 0; + for (size_t i = 0; i < k; i++) { + int32_t diff = pu[i] - pv[i]; // both in [0, C], so no overflow + diff = diff < 0 ? -diff : diff; + best = diff > best ? diff : best; + } + return best; +} + +/// A landmark: a set of detectors that all sit at distance 0 (CLAUDE.md §7.1). +struct LandmarkSource { + std::string label; + std::vector nodes; +}; + +/// Per-DEM precomputation (CLAUDE.md §5.3). Built in two steps: `create` canonicalises and builds +/// the graph and boundary potentials; `set_landmarks` adds landmark potentials. Immutable +/// afterwards and shared between decoders and threads. +class GapIndex { + public: + GraphSpec spec; + /// FROM_DEM: the DEM text the index was built from (re-canonicalised on load). + std::string dem_text; + InteriorGraph graph; + /// h_L, h_R: exact distances to the two boundary sides. + std::vector h_l; + std::vector h_r; + /// d_LR = dist(L, R), the weight of the lightest logical. + dist_int d_lr = DIST_INF; + + /// Landmarks chosen by the strategy (L and R are not in this list; they are always added). + std::vector landmarks; + /// Node-major potentials with stride `potential_stride()`: entry 0 is h_L, entry 1 is h_R, + /// entries 2.. are the landmarks. Exact (int64); `potentials32` is the saturated copy used + /// for pricing. + std::vector potentials; + std::vector potentials32; + + std::string strategy_config; + uint64_t strategy_hash = 0; + bool finalized = false; + + static std::shared_ptr create_from_dem(const std::string& dem_text, size_t observable); + static std::shared_ptr create_from_reference_edges( + size_t num_detectors, size_t obs_detector, std::vector edges); + + /// Computes the landmark potentials. + void set_landmarks(std::vector sources, const std::string& config); + + size_t potential_stride() const { + return landmarks.size() + 2; + } + size_t num_detectors() const { + return spec.num_detectors; + } + + /// LB(u, v) = max over all (saturated) potentials (h_L, h_R and landmarks) of |h(u) - h(v)|. + inline dist_int lower_bound(uint32_t u, uint32_t v) const { + size_t k = potential_stride(); + const int32_t* pu = potentials32.data() + (size_t)u * k; + const int32_t* pv = potentials32.data() + (size_t)v * k; + return lower_bound_rows(pu, pv, k); + } + + /// d_hat(u, v) = LB(u, v) <= dist(u, v). `exact` is set only for u == v; the landmark bound is + /// never assumed to be exact. + inline dist_int d_hat(uint32_t u, uint32_t v, bool& exact) const { + exact = u == v; + return exact ? 0 : lower_bound(u, v); + } + + /// Exact interior distance (A* with the landmark bound as heuristic). + dist_int exact_distance(uint32_t u, uint32_t v, InteriorGraph::AStarScratch& scratch) const; + + /// Creates a fresh Mwpm for decoding (one per thread). Identical to what upstream builds. + pm::Mwpm make_mwpm() const; + + size_t potential_bytes() const; + + void save(const std::string& path) const; + static std::shared_ptr load(const std::string& path); + + /// Recomputes `potentials32` from `potentials`. + void derive_saturated_potentials(); + + private: + void build_graph(); + mutable std::mutex user_graph_mutex; + mutable pm::UserGraph decode_user_graph; +}; + +uint64_t fnv1a(const void* data, size_t len, uint64_t h = 1469598103934665603ULL); + +} // namespace fastgap +} // namespace pm + +#endif // PYMATCHING2_FASTGAP_GAP_INDEX_H diff --git a/src/pymatching/fastgap/gap_index.test.cc b/src/pymatching/fastgap/gap_index.test.cc new file mode 100644 index 000000000..287d03317 --- /dev/null +++ b/src/pymatching/fastgap/gap_index.test.cc @@ -0,0 +1,107 @@ +// Copyright 2026 fastgap contributors +// +// Licensed under the Apache License, Version 2.0 (the "License"); +// you may not use this file except in compliance with the License. +// You may obtain a copy of the License at +// +// http://www.apache.org/licenses/LICENSE-2.0 +// +// Unless required by applicable law or agreed to in writing, software +// distributed under the License is distributed on an "AS IS" BASIS, +// WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +// See the License for the specific language governing permissions and +// limitations under the License. + +#include "pymatching/fastgap/gap_index.h" + +#include + +#include + +#include "pymatching/fastgap/fastgap_test_util.test.h" +#include "pymatching/fastgap/gap_decoder.h" + +using namespace pm::fastgap; + +TEST(FastgapIndex, DHatIsALowerBound) { + std::mt19937_64 rng(42); + auto dem = testutil::random_grid_dem(rng, 6, 5, 0.3); + auto idx = testutil::make_index(dem); + for (uint32_t u = 0; u < idx->graph.num_nodes; u++) { + auto row = idx->graph.dijkstra({{u, 0}}); + for (uint32_t v = 0; v < idx->graph.num_nodes; v++) { + bool exact; + dist_int dh = idx->d_hat(u, v, exact); + ASSERT_LE(dh, row[v]); + ASSERT_EQ(dh, idx->lower_bound(u, v)); + ASSERT_EQ(exact, u == v); + } + } +} + +TEST(FastgapIndex, LandmarkSetsAreLowerBounds) { + auto dem = testutil::surface_code_dem(5, 5, 0.005, "rotated_memory_z"); + auto idx = GapIndex::create_from_dem(dem.str(), 0); + std::vector sources = {{"first_half", {}}, {"single", {7}}}; + for (uint32_t v = 0; v < idx->graph.num_nodes / 2; v++) + sources[0].nodes.push_back(v); + idx->set_landmarks(sources, "{}"); + for (uint32_t u = 0; u < idx->graph.num_nodes; u += 3) { + auto row = idx->graph.dijkstra({{u, 0}}); + for (uint32_t v = 0; v < idx->graph.num_nodes; v++) + ASSERT_LE(idx->lower_bound(u, v), row[v]); + } +} + +TEST(FastgapIndex, SaveLoadRoundTripIsBitIdentical) { + auto dem = testutil::surface_code_dem(3, 3, 0.01, "rotated_memory_x"); + auto idx = testutil::make_index(dem); + std::string path = testing::TempDir() + "fastgap_roundtrip.idx"; + idx->save(path); + auto loaded = GapIndex::load(path); + EXPECT_EQ(loaded->potentials, idx->potentials); + EXPECT_EQ(loaded->strategy_hash, idx->strategy_hash); + EXPECT_EQ(loaded->strategy_config, idx->strategy_config); + EXPECT_EQ(loaded->d_lr, idx->d_lr); + GapDecoder a(idx, 1), b(loaded, 1); + std::mt19937_64 rng(3); + DecodeOptions o; + o.upper_bound = true; + for (int s = 0; s < 200; s++) { + auto events = testutil::sample_dem(dem, rng); + auto ra = a.decode(events, o); + auto rb = b.decode(events, o); + ASSERT_EQ(ra.gap_lb, rb.gap_lb); + ASSERT_EQ(ra.gap_ub, rb.gap_ub); + ASSERT_EQ(ra.prediction, rb.prediction); + ASSERT_EQ(ra.w_star, rb.w_star); + } + // A corrupted file is rejected. + { + FILE* f = fopen(path.c_str(), "r+b"); + ASSERT_NE(f, nullptr); + fseek(f, 0, SEEK_SET); + fputc('X', f); + fclose(f); + } + EXPECT_THROW(GapIndex::load(path), std::runtime_error); + std::remove(path.c_str()); +} + +TEST(FastgapIndex, ReferenceEdgesPath) { + // Repetition code in the L/R model given as reference edges, with a detector-free L-R edge. + std::vector edges = { + {0, SIZE_MAX, true, 2.0, -1}, + {0, 1, false, 2.0, -1}, + {1, SIZE_MAX, false, 2.0, -1}, + {SIZE_MAX, SIZE_MAX, false, 3.0, -1}, + }; + auto idx = GapIndex::create_from_reference_edges(3, 2, edges); + idx->set_landmarks({}, "{}"); + // Bare chain through the interior: 6; direct edge: 3. + EXPECT_EQ(idx->d_lr, (dist_int)std::llround(3.0 * idx->graph.normalising_constant)); + GapDecoder dec(idx, 1); + auto r = dec.decode({2}, DecodeOptions()); // the obs detector is ignored + EXPECT_EQ(r.num_defects, 0u); + EXPECT_EQ(r.gap_lb, idx->d_lr); +} diff --git a/src/pymatching/fastgap/interior_graph.cc b/src/pymatching/fastgap/interior_graph.cc new file mode 100644 index 000000000..700a7fe18 --- /dev/null +++ b/src/pymatching/fastgap/interior_graph.cc @@ -0,0 +1,167 @@ +// Copyright 2026 fastgap contributors +// +// Licensed under the Apache License, Version 2.0 (the "License"); +// you may not use this file except in compliance with the License. +// You may obtain a copy of the License at +// +// http://www.apache.org/licenses/LICENSE-2.0 +// +// Unless required by applicable law or agreed to in writing, software +// distributed under the License is distributed on an "AS IS" BASIS, +// WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +// See the License for the specific language governing permissions and +// limitations under the License. + +#include "pymatching/fastgap/interior_graph.h" + +#include +#include +#include + +namespace pm { +namespace fastgap { + +InteriorGraph InteriorGraph::from_matching_graph(const pm::MatchingGraph& graph, size_t observable) { + InteriorGraph g; + g.num_nodes = graph.nodes.size(); + g.normalising_constant = graph.normalising_constant; + g.offsets.assign(g.num_nodes + 1, 0); + g.boundary_weight.assign(g.num_nodes, DIST_INF); + g.boundary_side.assign(g.num_nodes, SIDE_NONE); + pm::obs_int mask = (pm::obs_int)1 << observable; + const pm::DetectorNode* base = graph.nodes.data(); + for (size_t i = 0; i < g.num_nodes; i++) { + const auto& node = graph.nodes[i]; + for (size_t j = 0; j < node.neighbors.size(); j++) { + dist_int w = (dist_int)node.neighbor_weights[j]; + if (node.neighbors[j] == nullptr) { + if (g.boundary_side[i] != SIDE_NONE) + throw std::logic_error("detector has two boundary edges in the matching graph"); + g.boundary_weight[i] = w; + g.boundary_side[i] = (node.neighbor_observables[j] & mask) ? SIDE_L : SIDE_R; + } else { + if (node.neighbor_observables[j] & mask) + throw std::logic_error( + "interior edge carries the gauge-fixed observable; canonicalisation was not applied"); + g.neighbors.push_back((uint32_t)(node.neighbors[j] - base)); + g.weights.push_back(w); + } + } + g.offsets[i + 1] = (uint32_t)g.neighbors.size(); + } + return g; +} + +uint64_t InteriorGraph::fingerprint() const { + // FNV-1a over the raw arrays. + uint64_t h = 1469598103934665603ULL; + auto mix = [&](const void* data, size_t len) { + auto p = (const uint8_t*)data; + for (size_t i = 0; i < len; i++) { + h ^= p[i]; + h *= 1099511628211ULL; + } + }; + mix(&num_nodes, sizeof(num_nodes)); + mix(offsets.data(), offsets.size() * sizeof(uint32_t)); + mix(neighbors.data(), neighbors.size() * sizeof(uint32_t)); + mix(weights.data(), weights.size() * sizeof(dist_int)); + mix(boundary_weight.data(), boundary_weight.size() * sizeof(dist_int)); + mix(boundary_side.data(), boundary_side.size()); + mix(&normalising_constant, sizeof(normalising_constant)); + return h; +} + +std::vector InteriorGraph::dijkstra( + const std::vector>& init, dist_int cap) const { + std::vector dist(num_nodes, DIST_INF); + typedef std::pair item; + std::priority_queue, std::greater> pq; + for (auto [v, d] : init) { + if (v >= num_nodes) + throw std::invalid_argument("dijkstra source out of range"); + if (d <= cap && d < dist[v]) { + dist[v] = d; + pq.push({d, v}); + } + } + while (!pq.empty()) { + auto [d, x] = pq.top(); + pq.pop(); + if (d != dist[x]) + continue; + for (uint32_t e = offsets[x]; e < offsets[x + 1]; e++) { + dist_int nd = d + weights[e]; + uint32_t y = neighbors[e]; + if (nd <= cap && nd < dist[y]) { + dist[y] = nd; + pq.push({nd, y}); + } + } + } + return dist; +} + +std::vector InteriorGraph::side_potential(uint8_t side) const { + std::vector> init; + for (uint32_t i = 0; i < num_nodes; i++) { + if (boundary_side[i] == side) + init.push_back({i, boundary_weight[i]}); + } + return dijkstra(init); +} + +dist_int InteriorGraph::astar( + uint32_t a, uint32_t b, const std::function& heuristic, AStarScratch& scratch) const { + if (a == b) + return 0; + if (scratch.g.size() != num_nodes) + scratch.g.assign(num_nodes, DIST_INF); + typedef std::pair item; // (g + h, node) + std::priority_queue, std::greater> pq; + scratch.g[a] = 0; + scratch.touched.push_back(a); + pq.push({heuristic(a), a}); + dist_int result = DIST_INF; + while (!pq.empty()) { + auto [f, x] = pq.top(); + pq.pop(); + dist_int gx = scratch.g[x]; + if (x == b) { + result = gx; + break; + } + dist_int hx = heuristic(x); + if (f != gx + hx) + continue; // stale entry + for (uint32_t e = offsets[x]; e < offsets[x + 1]; e++) { + uint32_t y = neighbors[e]; + dist_int ng = gx + weights[e]; + if (ng < scratch.g[y]) { + if (is_inf(scratch.g[y])) + scratch.touched.push_back(y); + scratch.g[y] = ng; + pq.push({ng + heuristic(y), y}); + } + } + } + for (auto t : scratch.touched) + scratch.g[t] = DIST_INF; + scratch.touched.clear(); + return result; +} + +dist_int InteriorGraph::median_edge_weight() const { + std::vector all(weights.begin(), weights.end()); + for (auto w : boundary_weight) { + if (!is_inf(w)) + all.push_back(w); + } + if (all.empty()) + return 0; + std::nth_element(all.begin(), all.begin() + all.size() / 2, all.end()); + return all[all.size() / 2]; +} + +} // namespace fastgap +} // namespace pm diff --git a/src/pymatching/fastgap/interior_graph.h b/src/pymatching/fastgap/interior_graph.h new file mode 100644 index 000000000..1ad7d1c6a --- /dev/null +++ b/src/pymatching/fastgap/interior_graph.h @@ -0,0 +1,71 @@ +// Copyright 2026 fastgap contributors +// +// Licensed under the Apache License, Version 2.0 (the "License"); +// you may not use this file except in compliance with the License. +// You may obtain a copy of the License at +// +// http://www.apache.org/licenses/LICENSE-2.0 +// +// Unless required by applicable law or agreed to in writing, software +// distributed under the License is distributed on an "AS IS" BASIS, +// WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +// See the License for the specific language governing permissions and +// limitations under the License. + +#ifndef PYMATCHING2_FASTGAP_INTERIOR_GRAPH_H +#define PYMATCHING2_FASTGAP_INTERIOR_GRAPH_H + +#include +#include + +#include "pymatching/fastgap/types.h" +#include "pymatching/sparse_blossom/flooder/graph.h" + +namespace pm { +namespace fastgap { + +/// The detector graph G in internal integer units, read directly from the MatchingGraph that the +/// decoder floods, so distances use exactly the decoder's edges and weights. Interior edges are +/// stored in CSR form; the (at most one) boundary edge of each detector is stored separately with +/// its side L or R (CLAUDE.md §2.3). +struct InteriorGraph { + size_t num_nodes = 0; + std::vector offsets; // size num_nodes + 1 + std::vector neighbors; + std::vector weights; + std::vector boundary_weight; // DIST_INF if no boundary edge + std::vector boundary_side; // SIDE_NONE / SIDE_L / SIDE_R + double normalising_constant = 0; + + /// Reads the graph. `observable` is the (gauge-fixed) observable whose bit labels side L. + /// Throws if an interior edge carries that observable (canonicalisation failed). + static InteriorGraph from_matching_graph(const pm::MatchingGraph& graph, size_t observable); + + /// 64-bit fingerprint of edges, weights, sides and the normalising constant. + uint64_t fingerprint() const; + + /// Multi-source Dijkstra over interior edges only (never through the boundary). `init` gives + /// (node, starting distance) pairs. Nodes farther than `cap` are left at DIST_INF. + std::vector dijkstra(const std::vector>& init, dist_int cap = DIST_INF) + const; + + /// h_X(x) = dist(x, X) for side X: shortest path from x ending with a boundary edge on side X. + std::vector side_potential(uint8_t side) const; + + /// Exact interior distance from a to b with A*; `heuristic(x)` must be a consistent lower bound + /// on dist(x, b) (e.g. a landmark bound, which is 1-Lipschitz). Uses `scratch` as workspace. + struct AStarScratch { + std::vector g; + std::vector touched; + }; + dist_int astar( + uint32_t a, uint32_t b, const std::function& heuristic, AStarScratch& scratch) const; + + /// Median interior-or-boundary edge weight (internal units). + dist_int median_edge_weight() const; +}; + +} // namespace fastgap +} // namespace pm + +#endif // PYMATCHING2_FASTGAP_INTERIOR_GRAPH_H diff --git a/src/pymatching/fastgap/interior_graph.test.cc b/src/pymatching/fastgap/interior_graph.test.cc new file mode 100644 index 000000000..652cebb2d --- /dev/null +++ b/src/pymatching/fastgap/interior_graph.test.cc @@ -0,0 +1,72 @@ +// Copyright 2026 fastgap contributors +// +// Licensed under the Apache License, Version 2.0 (the "License"); +// you may not use this file except in compliance with the License. +// You may obtain a copy of the License at +// +// http://www.apache.org/licenses/LICENSE-2.0 +// +// Unless required by applicable law or agreed to in writing, software +// distributed under the License is distributed on an "AS IS" BASIS, +// WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +// See the License for the specific language governing permissions and +// limitations under the License. + +#include "pymatching/fastgap/interior_graph.h" + +#include + +#include "pymatching/fastgap/fastgap_test_util.test.h" + +using namespace pm::fastgap; + +TEST(FastgapInteriorGraph, ReadsDecoderGraphWithSides) { + stim::DetectorErrorModel dem(R"DEM( + error(0.1) D0 L0 + error(0.1) D0 D1 + error(0.2) D1 D2 + error(0.1) D2 + )DEM"); + auto idx = GapIndex::create_from_dem(dem.str(), 0); + auto& g = idx->graph; + EXPECT_EQ(g.num_nodes, 3u); + EXPECT_EQ(g.boundary_side[0], SIDE_L); + EXPECT_EQ(g.boundary_side[1], SIDE_NONE); + EXPECT_EQ(g.boundary_side[2], SIDE_R); + // h_L(2) = w(0,b) + dist(0,2); d_LR is the full chain. + auto row = g.dijkstra({{0, 0}}); + EXPECT_EQ(idx->h_l[2], g.boundary_weight[0] + row[2]); + EXPECT_EQ(idx->h_l[0], g.boundary_weight[0]); + EXPECT_EQ(idx->d_lr, idx->h_l[2] + g.boundary_weight[2]); + EXPECT_EQ(idx->d_lr, idx->h_r[0] + g.boundary_weight[0]); +} + +TEST(FastgapInteriorGraph, AStarMatchesDijkstra) { + std::mt19937_64 rng(3); + for (int trial = 0; trial < 5; trial++) { + auto dem = testutil::random_grid_dem(rng, 7, 6); + auto idx = testutil::make_index(dem, 3); + InteriorGraph::AStarScratch scratch; + for (uint32_t a = 0; a < idx->graph.num_nodes; a += 5) { + auto row = idx->graph.dijkstra({{a, 0}}); + for (uint32_t b = 0; b < idx->graph.num_nodes; b++) { + dist_int d = idx->graph.astar(b, a, [&](uint32_t x) { return idx->lower_bound(x, a); }, scratch); + ASSERT_EQ(d, row[b]); + ASSERT_LE(idx->lower_bound(a, b), row[b]); + } + } + } +} + +TEST(FastgapInteriorGraph, DistancesNeverTransitTheBoundary) { + // Two detectors that are close via the boundary but far through the interior. + stim::DetectorErrorModel dem(R"DEM( + error(0.3) D0 L0 + error(0.001) D0 D1 + error(0.3) D1 L0 + )DEM"); + auto idx = GapIndex::create_from_dem(dem.str(), 0); + auto row = idx->graph.dijkstra({{0, 0}}); + EXPECT_EQ(row[1], idx->graph.weights[idx->graph.offsets[0]]); + EXPECT_GT(row[1], idx->graph.boundary_weight[0] + idx->graph.boundary_weight[1]); +} diff --git a/src/pymatching/fastgap/thread_pool.h b/src/pymatching/fastgap/thread_pool.h new file mode 100644 index 000000000..6ea236271 --- /dev/null +++ b/src/pymatching/fastgap/thread_pool.h @@ -0,0 +1,298 @@ +// Copyright 2026 fastgap contributors +// +// Licensed under the Apache License, Version 2.0 (the "License"); +// you may not use this file except in compliance with the License. +// You may obtain a copy of the License at +// +// http://www.apache.org/licenses/LICENSE-2.0 +// +// Unless required by applicable law or agreed to in writing, software +// distributed under the License is distributed on an "AS IS" BASIS, +// WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +// See the License for the specific language governing permissions and +// limitations under the License. + +#ifndef PYMATCHING2_FASTGAP_THREAD_POOL_H +#define PYMATCHING2_FASTGAP_THREAD_POOL_H + +#include +#include +#include +#include +#include +#include +#include +#include +#include + +#ifdef __linux__ +#include +#include +#endif +#ifdef __APPLE__ +#include +#include +#endif +#if defined(__x86_64__) || defined(_M_X64) +#include +#endif + +namespace pm { +namespace fastgap { + +/// A persistent pool created once per GapDecoder (never per shot). `run(n, fn)` calls +/// fn(worker, task) for task in [0, n), with worker in [0, size()); the calling thread acts as +/// worker 0 and blocks until all tasks are done. Tasks are handed out dynamically. +class ThreadPool { + public: + explicit ThreadPool(size_t num_threads, bool pin = false) : num_threads_(num_threads < 1 ? 1 : num_threads) { + if (pin) + pin_current_thread(0); + for (size_t w = 1; w < num_threads_; w++) { + threads_.emplace_back([this, w, pin] { + if (pin) + pin_current_thread(w); + worker_loop(w); + }); + } + } + ~ThreadPool() { + { + std::lock_guard lock(mutex_); + stop_ = true; + generation_++; + } + cv_.notify_all(); + for (auto& t : threads_) + t.join(); + } + ThreadPool(const ThreadPool&) = delete; + ThreadPool& operator=(const ThreadPool&) = delete; + + size_t size() const { + return num_threads_; + } + + void run(size_t num_tasks, const std::function& fn) { + if (num_threads_ == 1 || num_tasks <= 1 || inside_job()) { + // Serial fallback; also taken by a nested call from inside a task, since the pool is + // not re-entrant. A nested caller keeps its own worker slot (0 here is only correct + // for the outermost caller, so nested callers must not rely on the worker index). + for (size_t t = 0; t < num_tasks; t++) + fn(0, t); + return; + } + { + std::lock_guard lock(mutex_); + job_ = &fn; + num_tasks_ = num_tasks; + next_task_.store(0); + pending_workers_ = num_threads_ - 1; + error_ = nullptr; + generation_++; + } + cv_.notify_all(); + drain(0); + std::unique_lock lock(mutex_); + done_cv_.wait(lock, [this] { return pending_workers_ == 0; }); + job_ = nullptr; + if (error_) + std::rethrow_exception(error_); + } + + /// Best effort: pins on Linux, no-op elsewhere (macOS has no hard affinity API). + static bool pin_current_thread(size_t cpu) { +#ifdef __linux__ + cpu_set_t set; + CPU_ZERO(&set); + CPU_SET(cpu % std::max(1u, std::thread::hardware_concurrency()), &set); + return pthread_setaffinity_np(pthread_self(), sizeof(set), &set) == 0; +#else + (void)cpu; + return false; +#endif + } + + private: + static bool& inside_job() { + thread_local bool flag = false; + return flag; + } + + void drain(size_t worker) { + while (true) { + size_t t = next_task_.fetch_add(1); + if (t >= num_tasks_) + break; + try { + inside_job() = true; + (*job_)(worker, t); + inside_job() = false; + } catch (...) { + inside_job() = false; + std::lock_guard lock(mutex_); + if (!error_) + error_ = std::current_exception(); + next_task_.store(num_tasks_); + } + } + } + + void worker_loop(size_t worker) { + uint64_t seen = 0; + while (true) { + { + std::unique_lock lock(mutex_); + cv_.wait(lock, [&] { return generation_ != seen; }); + seen = generation_; + if (stop_) + return; + } + drain(worker); + { + std::lock_guard lock(mutex_); + pending_workers_--; + } + done_cv_.notify_one(); + } + } + + size_t num_threads_; + std::vector threads_; + std::mutex mutex_; + std::condition_variable cv_; + std::condition_variable done_cv_; + const std::function* job_ = nullptr; + size_t num_tasks_ = 0; + std::atomic next_task_{0}; + size_t pending_workers_ = 0; + uint64_t generation_ = 0; + bool stop_ = false; + std::exception_ptr error_; +}; + +/// Hint to the CPU that the caller is spinning. +inline void cpu_relax() { +#if defined(__x86_64__) || defined(_M_X64) + _mm_pause(); +#elif defined(__aarch64__) + asm volatile("yield" ::: "memory"); +#endif +} + +/// A team of threads that work together on *one* shot (intra-shot parallelism), as opposed to +/// ThreadPool, which hands out independent tasks. `run(active, fn)` calls fn(t) concurrently on +/// threads t in [0, active) (t = 0 is the caller) and returns once all of them have returned, so +/// fn may synchronise its threads with spin barriers. +/// +/// Waking a sleeping thread costs several microseconds, more than the whole search on a typical +/// shot, so idle workers spin for `SPIN_BEFORE_SLEEP` after their last job before they block. +/// Back-to-back shots (a decode_batch, or a real-time stream) therefore never pay a wake-up. +class SpinTeam { + public: + static constexpr std::chrono::microseconds SPIN_BEFORE_SLEEP{2000}; + + explicit SpinTeam(size_t num_threads, bool pin = false) : num_threads_(num_threads < 1 ? 1 : num_threads) { + if (pin) + ThreadPool::pin_current_thread(0); + for (size_t t = 1; t < num_threads_; t++) { + threads_.emplace_back([this, t, pin] { + if (pin) + ThreadPool::pin_current_thread(t); +#ifdef __APPLE__ + // Ask for performance cores; no hard affinity exists on macOS. + pthread_set_qos_class_self_np(QOS_CLASS_USER_INTERACTIVE, 0); +#endif + worker_loop(t); + }); + } + } + ~SpinTeam() { + stop_.store(true); + job_seq_.fetch_add(1); + { + std::lock_guard lock(mutex_); + } + cv_.notify_all(); + for (auto& t : threads_) + t.join(); + } + SpinTeam(const SpinTeam&) = delete; + SpinTeam& operator=(const SpinTeam&) = delete; + + size_t size() const { + return num_threads_; + } + + /// fn must not throw. + void run(size_t active, const std::function& fn) { + active = std::min(std::max(active, 1), num_threads_); + if (active == 1) { + fn(0); + return; + } + job_ = &fn; + active_ = active; + remaining_.store(active - 1, std::memory_order_relaxed); + job_seq_.fetch_add(1); // seq_cst: pairs with the sleepers_ check in worker_loop + if (sleepers_.load() > 0) { + std::lock_guard lock(mutex_); + cv_.notify_all(); + } + fn(0); + while (remaining_.load(std::memory_order_acquire) != 0) + cpu_relax(); + } + + private: + void worker_loop(size_t t) { + uint64_t seen = 0; + while (true) { + uint64_t now = wait_for_job(seen); + seen = now; + if (stop_.load()) + return; + if (t < active_) { + (*job_)(t); + remaining_.fetch_sub(1, std::memory_order_release); + } + } + } + + uint64_t wait_for_job(uint64_t seen) { + auto deadline = std::chrono::steady_clock::now() + SPIN_BEFORE_SLEEP; + while (true) { + for (int i = 0; i < 1024; i++) { + uint64_t s = job_seq_.load(std::memory_order_acquire); + if (s != seen) + return s; + cpu_relax(); + } + if (std::chrono::steady_clock::now() >= deadline) + break; + } + std::unique_lock lock(mutex_); + sleepers_.fetch_add(1); + uint64_t s; + while ((s = job_seq_.load()) == seen) + cv_.wait(lock); + sleepers_.fetch_sub(1); + return s; + } + + size_t num_threads_; + std::vector threads_; + const std::function* job_ = nullptr; + size_t active_ = 0; + std::atomic job_seq_{0}; + std::atomic remaining_{0}; + std::atomic sleepers_{0}; + std::atomic stop_{false}; + std::mutex mutex_; + std::condition_variable cv_; +}; + +} // namespace fastgap +} // namespace pm + +#endif // PYMATCHING2_FASTGAP_THREAD_POOL_H diff --git a/src/pymatching/fastgap/types.h b/src/pymatching/fastgap/types.h new file mode 100644 index 000000000..8f291bd39 --- /dev/null +++ b/src/pymatching/fastgap/types.h @@ -0,0 +1,61 @@ +// Copyright 2026 fastgap contributors +// +// Licensed under the Apache License, Version 2.0 (the "License"); +// you may not use this file except in compliance with the License. +// You may obtain a copy of the License at +// +// http://www.apache.org/licenses/LICENSE-2.0 +// +// Unless required by applicable law or agreed to in writing, software +// distributed under the License is distributed on an "AS IS" BASIS, +// WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +// See the License for the specific language governing permissions and +// limitations under the License. + +#ifndef PYMATCHING2_FASTGAP_TYPES_H +#define PYMATCHING2_FASTGAP_TYPES_H + +#include +#include +#include +#include + +namespace pm { +namespace fastgap { + +/// All radii, distances and reduced costs are integers in PyMatching's internal units +/// (`w_int = 2 * round(w * c)`). See CLAUDE.md §2.1. +typedef int64_t dist_int; + +/// "Unreachable" distance. Chosen so that sums of a few INF values cannot overflow int64. +constexpr dist_int DIST_INF = std::numeric_limits::max() / 8; + +/// Mate codes for `DualState::mate`: a non-negative value is a defect index. +constexpr int32_t MATE_L = -1; +constexpr int32_t MATE_R = -2; + +/// Boundary side codes stored per detector in `InteriorGraph::boundary_side`. +constexpr uint8_t SIDE_NONE = 0; +constexpr uint8_t SIDE_L = 1; // boundary edge with obs' = 1 +constexpr uint8_t SIDE_R = 2; // boundary edge with obs' = 0 + +inline bool is_inf(dist_int d) { + return d >= DIST_INF / 2; +} + +/// Thrown when an invariant from CLAUDE.md §5.1 / §9 is violated. A violation is a bug. +struct InvariantViolation : std::logic_error { + explicit InvariantViolation(const std::string& what) : std::logic_error("fastgap invariant violated: " + what) { + } +}; + +#ifdef FASTGAP_CHECK +constexpr bool CHECKS_DEFAULT_ON = true; +#else +constexpr bool CHECKS_DEFAULT_ON = false; +#endif + +} // namespace fastgap +} // namespace pm + +#endif // PYMATCHING2_FASTGAP_TYPES_H diff --git a/src/pymatching/sparse_blossom/driver/mwpm_decoding.h b/src/pymatching/sparse_blossom/driver/mwpm_decoding.h index 960a1da89..5955266e5 100644 --- a/src/pymatching/sparse_blossom/driver/mwpm_decoding.h +++ b/src/pymatching/sparse_blossom/driver/mwpm_decoding.h @@ -84,4 +84,10 @@ void decode_detection_events_to_edges_with_edge_correlations( } // namespace pm +// Defined in mwpm_decoding.cc. Declared here so that fastgap can read the dual state between +// flooding and shattering. +void process_timeline_until_completion(pm::Mwpm& mwpm, const std::vector& detection_events); +void shatter_blossoms_for_all_detection_events_and_extract_match_edges( + pm::Mwpm& mwpm, const std::vector& detection_events); + #endif // PYMATCHING2_MWPM_DECODING_H diff --git a/tests/fastgap/fastgap_helpers.py b/tests/fastgap/fastgap_helpers.py new file mode 100644 index 000000000..61b800179 --- /dev/null +++ b/tests/fastgap/fastgap_helpers.py @@ -0,0 +1,125 @@ +"""Shared helpers for the fastgap tests: DEM generators and an exact DEM sampler.""" + +from __future__ import annotations + +import os + +import numpy as np +import stim + +# CLAUDE.md §9 asks for 10^5 shots per configuration; FASTGAP_TEST_SHOTS lowers it for quick runs. +SHOTS = int(os.environ.get("FASTGAP_TEST_SHOTS", "100000")) + + +def surface_dem(task: str, d: int, p: float, rounds=None) -> stim.DetectorErrorModel: + circuit = surface_circuit(task, d, p, rounds) + return circuit.detector_error_model(decompose_errors=True) + + +def surface_circuit(task: str, d: int, p: float, rounds=None) -> stim.Circuit: + return stim.Circuit.generated( + f"surface_code:{task}", + distance=d, + rounds=rounds or d, + after_clifford_depolarization=p, + before_round_data_depolarization=p, + before_measure_flip_probability=p, + after_reset_flip_probability=p, + ) + + +def phenomenological_dem(d: int, p: float, rounds=None) -> stim.DetectorErrorModel: + """Inner-patch style phenomenological noise: data errors between rounds plus measurement + flips, no circuit-level hook errors.""" + circuit = stim.Circuit.generated( + "surface_code:rotated_memory_z", + distance=d, + rounds=rounds or d, + before_round_data_depolarization=p, + before_measure_flip_probability=p, + ) + return circuit.detector_error_model(decompose_errors=True) + + +def yoked_dem(d: int, p: float) -> stim.DetectorErrorModel: + """Two surface-code patches whose logicals are yoked into one observable (L0 = XOR of both).""" + a = surface_dem("rotated_memory_x", d, p) + b = surface_dem("rotated_memory_x", d, p) + out = stim.DetectorErrorModel() + out += a.flattened() + out.append(stim.DemInstruction("shift_detectors", [], [a.num_detectors])) + out += b.flattened() + return out.flattened() + + +def random_grid_dem(rng: np.random.Generator, w: int, h: int, diag: float = 0.4, + p_lo: float = 0.02, p_hi: float = 0.25, gauge_density: float = 0.5) -> stim.DetectorErrorModel: + """A random matchable grid DEM with left (observable) and right boundaries, diagonals (odd + cycles, hence blossoms), duplicated mechanisms, and observable labels scrambled by a random + gauge so the observable also sits on interior edges.""" + n = w * h + s = (rng.random(size=n) < gauge_density).astype(np.int64) + lines = [] + + def emit(dets, obs): + o = obs + for x in dets: + o ^= int(s[x]) + for _ in range(2 if rng.random() < 0.15 else 1): + p = rng.uniform(p_lo, p_hi) + lines.append(f"error({p}) " + " ".join(f"D{x}" for x in dets) + (" L0" if o else "")) + + for y in range(h): + for x in range(w): + i = y * w + x + if x + 1 < w: + emit([i, i + 1], 0) + if y + 1 < h: + emit([i, i + w], 0) + if x + 1 < w and y + 1 < h and rng.random() < diag: + emit([i, i + w + 1], 0) + emit([y * w], 1) + emit([y * w + w - 1], 0) + for i in range(n): + lines.append(f"detector({i % w}, {i // w}) D{i}") + return stim.DetectorErrorModel("\n".join(lines)) + + +def toric_dem(n: int, p: float = 0.05) -> stim.DetectorErrorModel: + """Code-capacity toric code (one sector): an n x n periodic grid with no boundary. The + observable is carried by the vertical edges that wrap from the last row to the first, so + every vertical loop around the torus flips it once.""" + lines = [] + for y in range(n): + for x in range(n): + i = y * n + x + lines.append(f"error({p}) D{i} D{y * n + (x + 1) % n}") + lines.append(f"error({p}) D{i} D{((y + 1) % n) * n + x}" + (" L0" if y == n - 1 else "")) + return stim.DetectorErrorModel("\n".join(lines)) + + +def with_obs_detector(dem: stim.DetectorErrorModel) -> stim.DetectorErrorModel: + """Gidney-style gap DEM: the observable L0 becomes an extra last detector (targets kept on + every error that flipped the observable).""" + flat = dem.flattened() + obs_det = flat.num_detectors + out = stim.DetectorErrorModel() + for inst in flat: + if inst.type != "error": + if inst.type == "detector": + out.append(inst) + continue + targets = [] + for t in inst.targets_copy(): + if t.is_logical_observable_id(): + targets.append(stim.target_relative_detector_id(obs_det)) + else: + targets.append(t) + out.append("error", inst.args_copy(), targets) + out.append("detector", [], [stim.target_relative_detector_id(obs_det)]) + return out + + +def sample(dem: stim.DetectorErrorModel, shots: int, seed: int): + dets, obs, _ = dem.compile_sampler(seed=seed).sample(shots, bit_packed=True) + return np.ascontiguousarray(dets), obs diff --git a/tests/fastgap/index_landmarks_test.py b/tests/fastgap/index_landmarks_test.py new file mode 100644 index 000000000..06a31e867 --- /dev/null +++ b/tests/fastgap/index_landmarks_test.py @@ -0,0 +1,202 @@ +"""Index round-trip (§9.6), landmark strategies (§7), the reference gap-DEM path (§7.3), CLI.""" + +import json +import subprocess +import sys + +import numpy as np +import pytest + +import fastgap +from fastgap import landmarks +from fastgap_helpers import phenomenological_dem, random_grid_dem, sample, surface_dem, with_obs_detector + + +def test_index_round_trip_bit_identical(tmp_path): + dem = surface_dem("rotated_memory_z", 5, 0.01) + idx = fastgap.GapIndex.from_dem(dem) + path = tmp_path / "x.idx" + idx.save(path) + loaded = fastgap.GapIndex.load(path) + assert loaded.strategy_hash == idx.strategy_hash + assert loaded.strategy_config == idx.strategy_config + assert [l.label for l in loaded.landmarks] == [l.label for l in idx.landmarks] + dets, _ = sample(dem, 5000, 1) + a = fastgap.GapDecoder(idx).decode_batch(dets, upper_bound=True) + b = fastgap.GapDecoder(loaded).decode_batch(dets, upper_bound=True) + for field in ("prediction", "weight_int", "gap_lb_int", "gap_ub_int", "censored", "walk_simple", "all_hops_exact"): + assert np.array_equal(getattr(a, field), getattr(b, field)), field + + +def test_index_rejects_corrupt_file(tmp_path): + dem = surface_dem("rotated_memory_z", 3, 0.01) + idx = fastgap.GapIndex.from_dem(dem) + path = tmp_path / "x.idx" + idx.save(path) + data = bytearray(path.read_bytes()) + data[-3] ^= 0xFF + data[:8] = b"NOTFGAP!" + path.write_bytes(bytes(data)) + with pytest.raises(RuntimeError): + fastgap.GapIndex.load(path) + + +@pytest.mark.parametrize("strategy", ["boundary_only", "faces", "faces_corners", "fps", "greedy_cover", "phenomenological", "grafted", "auto"]) +def test_strategies_are_sound(strategy): + dem = surface_dem("rotated_memory_x", 5, 0.01) + idx = fastgap.GapIndex.from_dem(dem, strategy=strategy, num_landmarks=8) + assert len(idx.landmarks) <= 8 + assert idx.strategy_config["num_landmarks"] == 8 + g = idx.graph + rng = np.random.default_rng(0) + for u in rng.integers(0, g.num_nodes, size=10): + row = g.dijkstra([u]) + for v in range(g.num_nodes): + assert idx._core.lower_bound(int(u), v) <= row[v] + dets, _ = sample(dem, 3000, 2) + res = fastgap.GapDecoder(idx).decode_batch(dets) + exact = fastgap.exact_gap_batch(idx, dets) + assert np.all(res.gap_lb_int <= exact.gap_int) + + +def test_more_landmarks_never_hurt_much(): + dem = surface_dem("rotated_memory_x", 7, 0.01) + dets, _ = sample(dem, 3000, 3) + exact = fastgap.exact_gap_batch(fastgap.GapIndex.from_dem(dem, strategy="boundary_only"), dets) + fracs = {} + for s in ("boundary_only", "faces_corners"): + idx = fastgap.GapIndex.from_dem(dem, strategy=s) + res = fastgap.GapDecoder(idx).decode_batch(dets) + fracs[s] = np.mean(res.gap_lb_int == exact.gap_int) + assert fracs["faces_corners"] >= fracs["boundary_only"] + + +def test_auto_picks_by_dem(): + g = fastgap.GapIndex.from_dem(surface_dem("rotated_memory_x", 3, 0.01)) + assert g.strategy_name == "faces_corners" + no_coords = "\n".join(l for l in str(surface_dem("rotated_memory_x", 3, 0.01)).splitlines() if not l.strip().startswith("detector")) + g2 = fastgap.GapIndex.from_dem(no_coords) + assert g2.strategy_name == "fps" + + +def test_custom_strategy_registration(): + class FirstNodes: + name = "first_nodes" + + def params(self): + return {"n": 2} + + def select(self, graph, coords, meta, k): + return [landmarks.LandmarkSource(frozenset([0, 1]), "first")] + + landmarks.register("first_nodes", FirstNodes) + idx = fastgap.GapIndex.from_dem(surface_dem("rotated_memory_x", 3, 0.01), strategy="first_nodes") + assert idx.strategy_name == "first_nodes" + assert idx.landmarks[0].nodes == frozenset([0, 1]) + assert isinstance(FirstNodes(), fastgap.LandmarkStrategy) + + +def test_grafted_on_synthetic_virtual_nodes(): + # Pretend a patch region is irregular: tag some detectors as virtual pair nodes via meta. + dem = surface_dem("rotated_memory_x", 5, 0.01) + idx = fastgap.GapIndex.from_dem( + dem, strategy="grafted", num_landmarks=10, + meta={"virtual_nodes": {"r": [10, 11, 12], "g": [20, 21]}, "switch_time": 2}, + ) + labels = [l.label for l in idx.landmarks] + assert labels[:3] == ["virtual:all", "virtual:g", "virtual:r"] + assert "slice:switch" in labels + assert len(labels) == 10 + + +def test_from_gap_dem_matches_reference(): + """§7.3: fastgap's graph equals the edges PyMatching keeps for a gap_dem, even when the gap + DEM has 3-detector errors (observable on interior edges) that PyMatching drops.""" + rng = np.random.default_rng(8) + raw = random_grid_dem(rng, 6, 5, gauge_density=0.1) # observable on some interior edges too + gap_dem = with_obs_detector(raw) + idx = fastgap.GapIndex.from_gap_dem(gap_dem, strategy="fps", num_landmarks=4) + assert idx.num_detectors == raw.num_detectors + 1 + assert any(len([t for t in inst.targets_copy() if t.is_relative_detector_id()]) == 3 + for inst in gap_dem.flattened() if inst.type == "error"), "want 3-detector errors in gap_dem" + # Sample from the edges the reference graph keeps (errors PyMatching dropped cannot occur in + # the reference decoder's model either). + import pymatching + + m = pymatching.Matching.from_detector_error_model(gap_dem) + pymatching.set_seed(4) + full = np.array([m.add_noise()[1] for _ in range(2000)], dtype=np.uint8) + full[:, -1] = 0 + res = fastgap.GapDecoder(idx, check=True).decode_batch(full, bit_packed_shots=False, upper_bound=True) + exact = fastgap.exact_gap_batch(idx, full, bit_packed_shots=False) + assert np.all(res.gap_lb_int <= exact.gap_int) + assert np.all(~res.walk_simple | (res.gap_ub_int >= exact.gap_int)) + + # Reference two-decode (Gidney's method) directly on gap_dem with pymatching. Dropping the + # 3-detector errors can leave pieces whose only "boundary" is the observable detector; the + # reference decoder cannot match those shots in one class, so they are skipped here. + compared = 0 + for i, row in enumerate(full): + on = row.copy() + on[-1] = 1 + try: + _, w_off = m.decode(row, return_weight=True) + _, w_on = m.decode(on, return_weight=True) + except ValueError: + continue + compared += 1 + assert abs(abs(w_on - w_off) - exact.gap[i]) < 1e-9 + assert compared > 0.5 * len(full) + + +def test_from_gap_dem_of_canonical_surface_code_equals_dem_path(): + dem = surface_dem("rotated_memory_x", 5, 0.01) + idx = fastgap.GapIndex.from_dem(dem) + gap_dem = with_obs_detector(idx.canonical_dem()) + ref = fastgap.GapIndex.from_gap_dem(gap_dem) + assert ref.normalising_constant == idx.normalising_constant + assert ref.d_lr_int == idx.d_lr_int + dets, _, _ = dem.compile_sampler(seed=0).sample(2000) + full = np.zeros((len(dets), ref.num_detectors), dtype=np.uint8) + full[:, : dem.num_detectors] = dets + a = fastgap.exact_gap_batch(idx, dets, bit_packed_shots=False) + b = fastgap.exact_gap_batch(ref, full, bit_packed_shots=False) + assert np.array_equal(a.gap_int, b.gap_int) + + +def test_phenomenological_faces_corners_tight(): + dem = phenomenological_dem(7, 0.03) + idx = fastgap.GapIndex.from_dem(dem, strategy="phenomenological") + dets, _ = sample(dem, 3000, 0) + res = fastgap.GapDecoder(idx).decode_batch(dets) + exact = fastgap.exact_gap_batch(idx, dets) + assert np.all(res.gap_lb_int <= exact.gap_int) + # Landmarks only (no local tables): about two thirds of the shots are exact here. + assert np.mean(res.gap_lb_int == exact.gap_int) > 0.6 + + +def test_cli_build_index_bench_and_report(tmp_path): + idx_path = tmp_path / "s.idx" + run = lambda *a: subprocess.run([sys.executable, "-m", "fastgap", *a], check=True, capture_output=True, text=True) + out = run("build-index", "--gen", "surface_code:rotated_memory_x", "-d", "3", "-p", "0.01", "--out", str(idx_path)) + assert json.loads(out.stdout)["strategy"] == "faces_corners" + csv_path = tmp_path / "b.csv" + out = run("bench", "--gen", "surface_code:rotated_memory_x", "-d", "3", "-p", "0.01", "--idx", str(idx_path), + "--shots", "500", "--warmup", "100", "--threads", "2", "3", "--seed", "1", "--out", str(csv_path), + "--e2e", "--e2e-shots", "50") + summary = json.loads(out.stdout) + assert summary["soundness_violations"] == 0 + assert summary["threads"] == [1, 2, 3] + assert set(summary["latency_ns_by_threads"]) == {"1", "2", "3"} + assert set(summary["end_to_end_ns_by_threads"]) == {"1", "2", "3"} + assert "throughput" not in summary + header = csv_path.read_text().splitlines()[0].split(",") + assert header[:12] == ["shot", "num_defects", "w_star", "gap_exact", "gap_lb", "gap_ub", "t_decode_ns", + "t_gap_ns", "t_exact_ns", "walk_simple", "all_hops_exact", "censored"] + assert header[-4:] == ["t_gap_ns_t2", "t_gap_ns_t3", "t_exact_mstar_ns", "t_exact_comp_ns"] + assert set(summary["gap_speedup_vs_exact_by_threads"]) == {"1", "2", "3"} + out = run("landmark-report", "--gen", "surface_code:rotated_memory_x", "-d", "3", "-p", "0.01", + "--idx", str(idx_path), "--shots", "300", "--hop-shots", "100", "--seed", "2") + report = json.loads(out.stdout) + assert report["soundness_violations"] == 0 + assert 0 <= report["fraction_gap_lb_equals_gap_exact"] <= 1 diff --git a/tests/fastgap/surface_soundness_test.py b/tests/fastgap/surface_soundness_test.py new file mode 100644 index 000000000..8f6500015 --- /dev/null +++ b/tests/fastgap/surface_soundness_test.py @@ -0,0 +1,80 @@ +"""CLAUDE.md §9.3 (blossom-heavy), §9.4 (scale) and §9.5 (upstream parity). + +Each configuration decodes SHOTS (default 10^5) shots and checks, in integer internal units: +gap_lb <= gap_exact on every shot, gap_ub >= gap_exact when the walk is simple, and predictions +and weights bit-identical to upstream PyMatching on the original DEM. +""" + +import json +import os + +import numpy as np +import pymatching +import pytest + +import fastgap +from fastgap_helpers import SHOTS, sample, surface_dem + +LOG = os.environ.get("FASTGAP_TEST_LOG") + + +def _check(task, d, p, shots, threads=4, check_shots=None): + """``check_shots``: how many shots also run the in-decoder invariants (all-pairs sigma >= 0, + relays tight, d_hat <= dist); None = all of them.""" + dem = surface_dem(task, d, p) + idx = fastgap.GapIndex.from_dem(dem) + dets, _ = sample(dem, shots, seed=d * 1000 + int(p * 1e5)) + dec = fastgap.GapDecoder(idx, num_threads=threads) + dec.parallel_grain = 1 # every shot takes the intra-shot parallel search + res = dec.decode_batch(dets, upper_bound=True) + single = fastgap.GapDecoder(idx, num_threads=1).decode_batch(dets, upper_bound=True) + for field in ("gap_lb_int", "gap_ub_int", "prediction", "weight_int", "walk_simple", "all_hops_exact", "censored"): + assert np.array_equal(getattr(res, field), getattr(single, field)), field + n_check = len(dets) if check_shots is None else min(check_shots, len(dets)) + checked = fastgap.GapDecoder(idx, num_threads=threads, check=True).decode_batch(dets[:n_check], upper_bound=True) + assert np.array_equal(checked.gap_lb_int, res.gap_lb_int[:n_check]) + exact = fastgap.exact_gap_batch(idx, dets, num_threads=threads) + + violations = np.flatnonzero(res.gap_lb_int > exact.gap_int) + assert len(violations) == 0, f"gap_lb > gap_exact on shots {violations[:10]}" + ub_bad = np.flatnonzero(res.walk_simple & (res.gap_ub_int < exact.gap_int)) + assert len(ub_bad) == 0, f"gap_ub < gap_exact on simple walks {ub_bad[:10]}" + assert np.array_equal(res.weight_int, exact.w_star_int) + + matching = pymatching.Matching.from_detector_error_model(dem) + pred, weights = matching.decode_batch(dets, bit_packed_shots=True, return_weights=True) + assert np.array_equal(res.prediction, pred) + assert np.array_equal(res.weight, weights) + + stats = { + "task": task, "d": d, "p": p, "shots": shots, + "blossom_shot_fraction": float(np.mean(res.num_blossoms > 0)), + "blossom_pass_fraction": float(np.mean(res.blossom_pass)), + "walk_simple_fraction": float(np.mean(res.walk_simple)), + "gap_lb_equals_exact": float(np.mean(res.gap_lb_int == exact.gap_int)), + "median_t_decode_ns": float(np.median(res.t_decode_ns)), + "median_t_gap_ns": float(np.median(res.t_gap_ns)), + "p99_t_gap_ns": float(np.percentile(res.t_gap_ns, 99)), + "median_t_exact_ns": float(np.median(exact.t_exact_ns)), + "strategy_hash": idx.strategy_hash, + } + print(json.dumps(stats)) + if LOG: + with open(LOG, "a") as f: + f.write(json.dumps(stats) + "\n") + return stats + + +@pytest.mark.parametrize("task", ["rotated_memory_x", "rotated_memory_z"]) +@pytest.mark.parametrize("d", [3, 5, 7]) +@pytest.mark.parametrize("p", [5e-3, 1e-2]) +def test_blossom_heavy(task, d, p): + stats = _check(task, d, p, SHOTS) + assert stats["blossom_shot_fraction"] > 0 + + +@pytest.mark.parametrize("task", ["rotated_memory_x", "rotated_memory_z"]) +@pytest.mark.parametrize("d", [9, 13, 17]) +@pytest.mark.parametrize("p", [5e-4, 1e-3]) +def test_scale(task, d, p): + _check(task, d, p, SHOTS, check_shots=2000) diff --git a/tests/fastgap/tiny_exact_test.py b/tests/fastgap/tiny_exact_test.py new file mode 100644 index 000000000..a51622d11 --- /dev/null +++ b/tests/fastgap/tiny_exact_test.py @@ -0,0 +1,156 @@ +"""CLAUDE.md §9.1 (tiny exact) and §9.2 (gauge).""" + +import numpy as np +import pytest +import stim + +import fastgap +from fastgap_helpers import random_grid_dem, toric_dem, yoked_dem, phenomenological_dem, surface_dem + + +def _shots(dem, n, seed): + dets, _, _ = dem.compile_sampler(seed=seed).sample(n) + return dets + + +@pytest.mark.parametrize("seed", range(12)) +@pytest.mark.parametrize("num_landmarks", [0, 3]) +def test_tiny_exact_chain(seed, num_landmarks): + """gap_lb <= Delta_sigma <= Delta == brute force == two-decode, gap_ub >= Delta when simple, + with the in-decoder invariants (all-pairs sigma >= 0, relays tight, Sigma y = W*, d_hat <= dist) + switched on.""" + rng = np.random.default_rng(seed) + dem = random_grid_dem(rng, 3 + seed % 4, 3 + seed % 3) + idx = fastgap.GapIndex.from_dem(dem, strategy="fps", num_landmarks=num_landmarks) + dec = fastgap.GapDecoder(idx, check=True) + dets = _shots(dem, 150, seed) + dets = dets[dets.sum(axis=1) <= 10] + res = dec.decode_batch(dets, upper_bound=True, bit_packed_shots=False) + sigma = dec.decode_batch(dets, upper_bound=True, bit_packed_shots=False, pricing="exact") + exact = fastgap.exact_gap_batch(idx, dets, bit_packed_shots=False) + for i, row in enumerate(dets): + brute = fastgap.brute_force_gap(idx, np.flatnonzero(row)) + assert brute["gap"] == exact.gap_int[i] + assert brute["w_star"] == res.weight_int[i] == exact.w_star_int[i] + assert np.all(res.gap_lb_int <= sigma.gap_lb_int) + assert np.all(sigma.gap_lb_int <= exact.gap_int) + assert np.all(~res.walk_simple | (res.gap_ub_int >= exact.gap_int)) + assert np.all(~sigma.walk_simple | (sigma.gap_ub_int >= exact.gap_int)) + # Sigma y = W*: the weight matches upstream PyMatching on the original DEM. + import pymatching + + _, w = pymatching.Matching.from_detector_error_model(dem).decode_batch(dets, return_weights=True) + assert np.array_equal(res.weight, w) + + +def test_hand_computed_repetition(): + dem = stim.DetectorErrorModel(""" + error(0.1) D0 L0 + error(0.1) D0 D1 + error(0.1) D1 D2 + error(0.1) D2 + """) + idx = fastgap.GapIndex.from_dem(dem, strategy="boundary_only") + dec = fastgap.GapDecoder(idx, check=True) + w = np.log(0.9 / 0.1) + r = dec.decode([1, 0, 0], upper_bound=True) + assert r.prediction.tolist() == [1] + assert r.weight == pytest.approx(w) + assert r.gap_lb == pytest.approx(2 * w) + assert r.gap_ub == pytest.approx(2 * w) + assert r.gap_lb_db == pytest.approx(10 * np.log10(np.e) * 2 * w) + r0 = dec.decode([0, 0, 0], upper_bound=True) + assert r0.gap_lb == pytest.approx(idx.d_lr) + assert idx.d_lr == pytest.approx(4 * w) + + +def test_gauge_shift_and_invariance(): + """Different gauges of the same code: identical gaps, predictions differing exactly by the + per-shot shift; predictions in original labels always match upstream.""" + import pymatching + + rng = np.random.default_rng(3) + dem = random_grid_dem(rng, 5, 4) + idx = fastgap.GapIndex.from_dem(dem, strategy="fps", num_landmarks=4) + gauge = idx.gauge + assert np.any(gauge), "test DEM should need a non-trivial gauge" + dets = _shots(dem, 2000, 1) + res = fastgap.GapDecoder(idx).decode_batch(dets, bit_packed_shots=False) + pred = pymatching.Matching.from_detector_error_model(dem).decode_batch(dets) + assert np.array_equal(res.prediction, pred) + + # Canonical DEM: all-zero gauge, predictions shifted by XOR_{x in D} s(x). + canon = idx.canonical_dem() + idx2 = fastgap.GapIndex.from_dem(canon, strategy="fps", num_landmarks=4) + assert not np.any(idx2.gauge) + res2 = fastgap.GapDecoder(idx2).decode_batch(dets, bit_packed_shots=False) + shift = (dets.astype(np.int64) @ gauge.astype(np.int64)) % 2 + assert np.array_equal(res2.prediction[:, 0], res.prediction[:, 0] ^ shift.astype(np.uint8)) + e1 = fastgap.exact_gap_batch(idx, dets, bit_packed_shots=False) + e2 = fastgap.exact_gap_batch(idx2, dets, bit_packed_shots=False) + assert np.array_equal(e1.gap_int, e2.gap_int) + assert np.array_equal(res.gap_lb_int, res2.gap_lb_int) + + +def test_toroidal_dem_raises(): + with pytest.raises(fastgap.BoundarylessLogicalError): + fastgap.GapIndex.from_dem(toric_dem(4)) + with pytest.raises(ValueError): + fastgap.GapIndex.from_dem(toric_dem(5)) + + +def test_parallel_edge_conflict_raises(): + dem = stim.DetectorErrorModel(""" + error(0.1) D0 L0 + error(0.1) D0 + error(0.1) D0 D1 + error(0.1) D1 + """) + with pytest.raises(fastgap.ParallelEdgeConflictError): + fastgap.GapIndex.from_dem(dem) + + +@pytest.mark.parametrize("name,dem", [ + ("surface_x", surface_dem("rotated_memory_x", 3, 0.01)), + ("surface_z", surface_dem("rotated_memory_z", 3, 0.01)), + ("yoked", yoked_dem(3, 0.01)), + ("phenomenological", phenomenological_dem(5, 0.02)), +]) +def test_experiment_dems_canonicalise(name, dem): + """Every DEM family we plan to use passes §2.3 step 2, and the canonical DEM has the + observable only on boundary edges.""" + idx = fastgap.GapIndex.from_dem(dem) + canon = idx.canonical_dem() + for inst in canon.flattened(): + if inst.type != "error": + continue + dets, obs = 0, False + for t in inst.targets_copy() + [stim.target_separator()]: + if t.is_separator(): + assert not (dets == 2 and obs) + dets, obs = 0, False + elif t.is_relative_detector_id(): + dets += 1 + elif t.is_logical_observable_id() and t.val == 0: + obs = not obs + dets = _shots(dem, 500, 0) + res = fastgap.GapDecoder(idx, check=True).decode_batch(dets, bit_packed_shots=False, upper_bound=True) + exact = fastgap.exact_gap_batch(idx, dets, bit_packed_shots=False) + assert np.all(res.gap_lb_int <= exact.gap_int) + + +def test_threshold_censoring_user_units(): + dem = surface_dem("rotated_memory_x", 5, 0.01) + idx = fastgap.GapIndex.from_dem(dem) + dec = fastgap.GapDecoder(idx) + dets = _shots(dem, 2000, 5) + full = dec.decode_batch(dets, bit_packed_shots=False) + for tau in (0.5, 2.0, 5.0, 20.0): + r = dec.decode_batch(dets, threshold=tau, bit_packed_shots=False) + assert np.array_equal(r.gap_lb >= tau, full.gap_lb >= tau) + assert np.all(r.gap_lb[r.censored] >= tau) + assert np.all(r.gap_lb_int[~r.censored] == full.gap_lb_int[~r.censored]) + cls = dec.decode_batch(dets, threshold=tau, upper_bound=True, bit_packed_shots=False).classify(tau) + exact = fastgap.exact_gap_batch(idx, dets, bit_packed_shots=False) + assert np.all(exact.gap[cls == 1] >= tau) + assert np.all(exact.gap[cls == -1] < tau)