stabilizer_qec 1.4.0

Quantum error-correction simulation and decoding: Stim-format circuits and error models, a bit-parallel sampler, sparse-blossom, correlated and belief matching, BP+OSD, window decoders, bivariate bicycle codes and lattice surgery.
Documentation
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
362
363
364
365
366
367
368
369
370
371
372
373
374
375
376
377
378
379
380
381
382
383
384
385
386
387
388
389
390
391
392
393
394
395
396
397
398
399
400
401
402
403
404
405
406
407
408
409
410
411
412
413
414
415
416
417
418
419
420
421
422
423
424
425
426
427
428
429
430
431
432
433
434
435
436
437
438
439
440
441
442
443
444
445
446
447
448
449
450
451
452
453
454
455
456
457
458
459
460
461
462
463
464
465
466
467
468
469
470
471
472
473
474
475
476
477
478
479
480
481
482
483
484
485
486
487
488
489
490
491
492
493
494
495
496
497
498
499
500
501
502
503
504
505
506
507
508
509
510
511
512
513
514
515
516
517
518
519
520
521
522
523
524
525
526
527
528
529
530
531
532
533
534
535
536
537
538
539
540
541
542
543
544
545
546
547
548
549
550
551
552
553
554
555
556
557
558
559
560
561
562
563
564
565
566
567
568
569
570
571
572
573
574
575
576
577
578
579
580
581
582
583
584
585
586
587
588
589
590
591
592
593
594
595
596
597
598
599
600
//! The compiled objects behind the public Python API (`python/stabilizer_qec`). Each parses or
//! builds once and is reused; shots go in and results come out as Stim's b8 rows and
//! little-endian arrays, which the Python layer turns into numpy arrays; every loop over shots
//! releases the GIL. The shot loops here also serve the 0.4 functions in `py_api`.

// PyO3's #[pymethods] expansion converts each PyResult's error into PyErr, which clippy flags
// as a useless conversion; it is the macro's, not this code's.
#![allow(clippy::useless_conversion)]

use pyo3::exceptions::PyValueError;
use pyo3::prelude::*;
use pyo3::types::PyBytes;

use crate::batch_sampler::BatchSampler;
use crate::belief::BeliefMatching;
use crate::circuit::Circuit;
use crate::dem::Dem;
use crate::dem_decoder::DemDecoder;
use crate::m2d::M2d;
use crate::osd::{BpOsd, OsdMethod};
use crate::batch::{belief_shots, bposd_shots, match_shots, window_info, window_shots, WindowInfo};
use crate::window::{Mode, Model, WindowDecoder};

fn err(e: String) -> PyErr {
    PyValueError::new_err(e)
}

/// A buffer must hold exactly `num_shots` rows of `stride` bytes.
pub(crate) fn check_rows(len: usize, stride: usize, num_shots: usize, bits: usize, what: &str) -> PyResult<()> {
    if stride.checked_mul(num_shots) != Some(len) {
        return Err(err(format!("{len} bytes is not {num_shots} shots of {bits} {what}")));
    }
    Ok(())
}

/// Bits as a list of ints for Python (a `Vec<u8>` would arrive as `bytes`).
pub(crate) fn bits(xs: &[u8]) -> Vec<u32> {
    xs.iter().map(|&b| u32::from(b)).collect()
}

fn le_u64(xs: impl IntoIterator<Item = u64>) -> Vec<u8> {
    xs.into_iter().flat_map(u64::to_le_bytes).collect()
}

fn le_f64(xs: impl IntoIterator<Item = f64>) -> Vec<u8> {
    xs.into_iter().flat_map(f64::to_le_bytes).collect()
}

/* -- Circuits and models --------------------------------------------------------- */

/// A circuit, its counts taken through loops without unrolling them: the crate's `Circuit`,
/// so the two APIs build, count and validate circuits alike.
#[pyclass(name = "Circuit", module = "stabilizer_qec._core")]
pub struct PyCircuit {
    circuit: crate::api::Circuit,
}

fn api_err(e: crate::api::Error) -> PyErr {
    PyValueError::new_err(e.to_string())
}

impl PyCircuit {
    /// The engine's circuit.
    pub(crate) fn engine(&self) -> &Circuit {
        &self.circuit.inner
    }
}

#[pymethods]
impl PyCircuit {
    #[new]
    fn new(text: &str) -> PyResult<Self> {
        Ok(PyCircuit { circuit: crate::api::Circuit::parse(text).map_err(api_err)? })
    }

    #[getter]
    fn num_qubits(&self) -> usize {
        self.circuit.num_qubits()
    }

    #[getter]
    fn num_sweep_bits(&self) -> usize {
        self.circuit.num_sweep_bits()
    }

    #[getter]
    fn num_measurements(&self) -> usize {
        self.circuit.num_measurements()
    }

    #[getter]
    fn num_detectors(&self) -> usize {
        self.circuit.num_detectors()
    }

    #[getter]
    fn num_observables(&self) -> usize {
        self.circuit.num_observables()
    }

    fn __str__(&self) -> String {
        self.circuit.to_string()
    }

    fn __eq__(&self, other: &PyCircuit) -> bool {
        self.circuit.inner == other.circuit.inner
    }

    /// One instruction from its parts (targets as their text); the circuit is unchanged on an
    /// error.
    fn append_instruction(&mut self, name: &str, tag: &str, args: Vec<f64>, targets: Vec<String>) -> PyResult<()> {
        let piece = Circuit::instruction(name, tag, &args, &targets).map_err(err)?;
        let piece = crate::api::Circuit::from_engine(piece).map_err(api_err)?;
        self.circuit.append_circuit(&piece).map_err(api_err)
    }

    fn append_text(&mut self, text: &str) -> PyResult<()> {
        self.circuit.append_text(text).map_err(api_err)
    }

    fn append_circuit(&mut self, other: &PyCircuit) -> PyResult<()> {
        self.circuit.append_circuit(&other.circuit).map_err(api_err)
    }

    fn repeated(&self, count: u64) -> PyResult<PyCircuit> {
        Ok(PyCircuit { circuit: self.circuit.repeated(count).map_err(api_err)? })
    }

    /// A diagram: `kind` one of Stim's names (timeline-text, timeline-svg, detslice-text,
    /// detslice-svg, matchgraph-svg); `tick` the moment of a detector slice.
    #[pyo3(signature = (kind, tick=None))]
    fn diagram(&self, kind: &str, tick: Option<u64>) -> PyResult<String> {
        use crate::api::DiagramKind as K;
        let need_tick = || tick.ok_or_else(|| err(format!("a {kind} diagram needs tick=")));
        let kind = match kind {
            "timeline-text" => K::TimelineText,
            "timeline-svg" => K::TimelineSvg,
            "detslice-text" => K::DetectorSliceText { tick: need_tick()? },
            "detslice-svg" => K::DetectorSliceSvg { tick: need_tick()? },
            "matchgraph-svg" => K::MatchGraphSvg,
            other => return Err(err(format!("unknown diagram '{other}': timeline-text, timeline-svg, detslice-text, detslice-svg or matchgraph-svg"))),
        };
        self.circuit.diagram(kind).map_err(api_err)
    }

    fn copy(&self) -> PyCircuit {
        PyCircuit { circuit: self.circuit.clone() }
    }

    /// The detector error model; `decompose` splits faults into graph-like pieces as Stim does,
    /// `approximate` is Stim's `approximate_disjoint_errors` as a threshold (None: off), and
    /// `flatten` writes it without folding its loops.
    #[pyo3(signature = (decompose, approximate=None, flatten=false))]
    fn detector_error_model(&self, decompose: bool, approximate: Option<f64>, flatten: bool) -> PyResult<PyDem> {
        let options = crate::api::DemOptions::new().decompose_errors(decompose).approximate_disjoint_errors(approximate).flatten_loops(flatten);
        Ok(PyDem { dem: self.circuit.detector_error_model(&options).map_err(api_err)? })
    }

    fn sampler(&self, seed: u64) -> PyResult<PySampler> {
        Ok(PySampler { sampler: BatchSampler::new(&self.circuit.inner).map_err(err)?, seed, next: 0.into() })
    }

    fn m2d(&self) -> PyResult<PyM2d> {
        Ok(PyM2d { m2d: M2d::new(&self.circuit.inner).map_err(err)? })
    }
}

/// A detector error model, parsed from Stim's text or built from a circuit: the crate's, held
/// folded and unrolled once for a decoder.
#[pyclass(name = "Dem", module = "stabilizer_qec._core")]
pub struct PyDem {
    dem: crate::api::DetectorErrorModel,
}

impl PyDem {
    /// The model unrolled, for a decoder.
    fn flat(&self) -> PyResult<&Dem> {
        self.dem.flat().map_err(api_err)
    }
}

#[pymethods]
impl PyDem {
    #[new]
    fn new(text: &str) -> PyResult<Self> {
        Ok(PyDem { dem: crate::api::DetectorErrorModel::parse(text).map_err(api_err)? })
    }

    #[getter]
    fn num_detectors(&self) -> usize {
        self.dem.num_detectors()
    }

    #[getter]
    fn num_observables(&self) -> usize {
        self.dem.num_observables()
    }

    #[getter]
    fn num_errors(&self) -> usize {
        self.dem.num_errors()
    }

    fn __str__(&self) -> String {
        self.dem.to_string()
    }

    fn matchgraph_svg(&self) -> PyResult<String> {
        self.dem.matchgraph_svg().map_err(api_err)
    }

    fn flattened(&self) -> PyResult<PyDem> {
        Ok(PyDem { dem: self.dem.flattened().map_err(api_err)? })
    }
}

/* -- Sampling and conversion ------------------------------------------------------ */

/// The bit-parallel sampler, drawing batch after batch from per-batch streams.
#[pyclass(name = "Sampler", module = "stabilizer_qec._core")]
pub struct PySampler {
    sampler: BatchSampler,
    seed: u64,
    /// The next batch's index: the shots drawn so far, in batches of 64. Each call reserves
    /// its batches before it samples, so threads sharing the sampler draw disjoint batches.
    next: std::sync::atomic::AtomicU64,
}

#[pymethods]
impl PySampler {
    #[getter]
    fn num_detectors(&self) -> usize {
        self.sampler.num_detectors
    }

    #[getter]
    fn num_observables(&self) -> usize {
        self.sampler.num_observables
    }

    /// `shots` shots as b8 rows of detectors and of observables. A call that ends mid-batch
    /// discards the batch's other lanes; the next call starts a new batch.
    fn sample<'py>(&self, py: Python<'py>, shots: usize, threads: usize) -> (Bound<'py, PyBytes>, Bound<'py, PyBytes>) {
        let first = self.next.fetch_add(shots.div_ceil(64) as u64, std::sync::atomic::Ordering::Relaxed);
        let (sampler, seed) = (&self.sampler, self.seed);
        let (d, o) = py.detach(|| sampler.sample_seeded(seed, first, shots, threads));
        (PyBytes::new(py, &d), PyBytes::new(py, &o))
    }
}

/// Raw measurements and sweep bits to detection events and observable flips.
#[pyclass(name = "M2d", module = "stabilizer_qec._core")]
pub struct PyM2d {
    m2d: M2d,
}

#[pymethods]
impl PyM2d {
    #[getter]
    fn num_measurements(&self) -> usize {
        self.m2d.num_measurements
    }

    #[getter]
    fn num_sweep_bits(&self) -> usize {
        self.m2d.num_sweep_bits
    }

    #[getter]
    fn num_detectors(&self) -> usize {
        self.m2d.num_detectors
    }

    #[getter]
    fn num_observables(&self) -> usize {
        self.m2d.num_observables
    }

    fn convert<'py>(&self, py: Python<'py>, meas: &[u8], sweeps: &[u8], shots: usize) -> PyResult<(Bound<'py, PyBytes>, Bound<'py, PyBytes>)> {
        let m2d = &self.m2d;
        let (d, o) = py.detach(|| m2d.convert_b8(meas, sweeps, shots)).map_err(err)?;
        Ok((PyBytes::new(py, &d), PyBytes::new(py, &o)))
    }
}

/* -- Decoders on a detector error model ----------------------------------------------- */

/// Exact matching, plain or correlated, on a model's graph.
#[pyclass(name = "Matcher", module = "stabilizer_qec._core")]
pub struct PyMatcher {
    // The graph and correlations alone, as the crate's `Matching` holds them: they are `Sync`,
    // so the matcher can be shared between threads (free-threaded Python included).
    graph: crate::sparse::SparseGraph,
    corr: Option<crate::sparse::Correlations>,
    #[pyo3(get)]
    num_detectors: usize,
    #[pyo3(get)]
    num_observables: usize,
}

#[pymethods]
impl PyMatcher {
    #[new]
    fn new(dem: &PyDem, correlated: bool) -> PyResult<Self> {
        let d = dem.flat()?;
        let (graph, corr) = DemDecoder::new(d).map_err(err)?.into_parts(correlated);
        Ok(PyMatcher { graph, corr, num_detectors: d.num_detectors, num_observables: d.num_observables })
    }

    /// (observables as u64 per shot, weights as f64 per shot, the shots with no matching).
    fn decode_batch<'py>(&self, py: Python<'py>, packed: &[u8], shots: usize, threads: usize) -> PyResult<(Bound<'py, PyBytes>, Bound<'py, PyBytes>, Vec<usize>)> {
        let nd = self.num_detectors;
        check_rows(packed.len(), nd.div_ceil(8), shots, nd, "detectors")?;
        let out = py.detach(|| match_shots(&self.graph, self.corr.as_ref(), packed, nd, shots, threads));
        let failed = out.iter().enumerate().filter(|(_, (_, w))| w.is_nan()).map(|(s, _)| s).collect();
        let preds = le_u64(out.iter().map(|&(o, _)| o));
        let weights = le_f64(out.iter().map(|&(_, w)| w));
        Ok((PyBytes::new(py, &preds), PyBytes::new(py, &weights), failed))
    }
}

/// Weighted union-find on a decomposed model's matching graph.
#[pyclass(name = "UnionFinder", module = "stabilizer_qec._core")]
pub struct PyUnionFinder {
    graph: crate::sparse::SparseGraph,
    #[pyo3(get)]
    num_detectors: usize,
    #[pyo3(get)]
    num_observables: usize,
}

#[pymethods]
impl PyUnionFinder {
    #[new]
    fn new(dem: &PyDem) -> PyResult<Self> {
        let d = dem.flat()?;
        let (graph, _) = DemDecoder::new(d).map_err(err)?.into_parts(false);
        Ok(PyUnionFinder { graph, num_detectors: d.num_detectors, num_observables: d.num_observables })
    }

    /// (observables as u64 per shot, the shots with no correction).
    fn decode_batch<'py>(&self, py: Python<'py>, packed: &[u8], shots: usize, threads: usize) -> PyResult<(Bound<'py, PyBytes>, Vec<usize>)> {
        let nd = self.num_detectors;
        check_rows(packed.len(), nd.div_ceil(8), shots, nd, "detectors")?;
        let out = py.detach(|| crate::batch::union_find_shots(&self.graph, packed, nd, shots, threads));
        let failed = out.iter().enumerate().filter(|(_, o)| o.is_none()).map(|(s, _)| s).collect();
        Ok((PyBytes::new(py, &le_u64(out.iter().map(|o| o.unwrap_or(0)))), failed))
    }
}

fn bp_method(method: &str, scale: f64) -> PyResult<crate::bp::Method> {
    match method {
        "product_sum" => Ok(crate::bp::Method::ProductSum),
        "minimum_sum" => Ok(crate::bp::Method::MinSum { scale }),
        other => Err(err(format!("BP method '{other}' is neither product_sum nor minimum_sum"))),
    }
}

fn osd_method(name: &str, order: usize) -> PyResult<OsdMethod> {
    match name {
        "osd_0" | "osd0" => Ok(OsdMethod::Osd0),
        "osd_e" => Ok(OsdMethod::Exhaustive(order)),
        "osd_cs" => Ok(OsdMethod::CombinationSweep(order)),
        other => Err(err(format!("OSD method '{other}' is not osd_0, osd_e or osd_cs"))),
    }
}

/// Belief-matching on a decomposed model.
#[pyclass(name = "BeliefMatcher", module = "stabilizer_qec._core")]
pub struct PyBeliefMatcher {
    bm: BeliefMatching,
    #[pyo3(get)]
    num_detectors: usize,
    #[pyo3(get)]
    num_observables: usize,
}

#[pymethods]
impl PyBeliefMatcher {
    #[new]
    fn new(dem: &PyDem, max_iter: usize, method: &str, scale: f64) -> PyResult<Self> {
        let d = dem.flat()?;
        let bm = BeliefMatching::from_dem(d, bp_method(method, scale)?, max_iter).map_err(err)?;
        Ok(PyBeliefMatcher { bm, num_detectors: d.num_detectors, num_observables: d.num_observables })
    }

    /// (observables as u64, weights as f64 (NaN where BP converged), one byte per shot 1
    /// where BP converged, the shots that failed).
    #[allow(clippy::type_complexity)]
    fn decode_batch<'py>(
        &self,
        py: Python<'py>,
        packed: &[u8],
        shots: usize,
        threads: usize,
    ) -> PyResult<(Bound<'py, PyBytes>, Bound<'py, PyBytes>, Bound<'py, PyBytes>, Vec<usize>)> {
        let nd = self.num_detectors;
        check_rows(packed.len(), nd.div_ceil(8), shots, nd, "detectors")?;
        let bm = &self.bm;
        let out = py.detach(|| belief_shots(bm, packed, nd, shots, threads));
        let failed = out.iter().enumerate().filter(|(_, x)| x.2 == 2).map(|(s, _)| s).collect();
        let conv: Vec<u8> = out.iter().map(|x| u8::from(x.2 == 1)).collect();
        Ok((
            PyBytes::new(py, &le_u64(out.iter().map(|x| x.0))),
            PyBytes::new(py, &le_f64(out.iter().map(|x| x.1))),
            PyBytes::new(py, &conv),
            failed,
        ))
    }
}

/// BP+OSD on an undecomposed model: each fault a column, its prior the model's.
#[pyclass(name = "DemBpOsd", module = "stabilizer_qec._core")]
pub struct PyDemBpOsd {
    dec: BpOsd,
    obs: Vec<u64>,
    #[pyo3(get)]
    num_detectors: usize,
    #[pyo3(get)]
    num_observables: usize,
}

#[pymethods]
impl PyDemBpOsd {
    #[new]
    #[allow(clippy::too_many_arguments)]
    fn new(dem: &PyDem, max_iter: usize, method: &str, scale: f64, osd: &str, order: usize) -> PyResult<Self> {
        let d = dem.flat()?;
        let columns: Vec<Vec<u32>> = d.mechanisms.iter().map(|m| m.detectors.clone()).collect();
        let priors: Vec<f64> = d.mechanisms.iter().map(|m| m.p).collect();
        let dec = BpOsd::new(d.num_detectors, columns, &priors, bp_method(method, scale)?, max_iter, osd_method(osd, order)?)
            .map_err(err)?;
        let obs = d.mechanisms.iter().map(|m| m.observables).collect();
        Ok(PyDemBpOsd { dec, obs, num_detectors: d.num_detectors, num_observables: d.num_observables })
    }

    /// (observables as u64 per shot, one byte per shot 1 where BP converged).
    fn decode_batch<'py>(&self, py: Python<'py>, packed: &[u8], shots: usize, threads: usize) -> PyResult<(Bound<'py, PyBytes>, Bound<'py, PyBytes>)> {
        let nd = self.num_detectors;
        check_rows(packed.len(), nd.div_ceil(8), shots, nd, "detectors")?;
        let (dec, obs) = (&self.dec, &self.obs);
        let out = py.detach(|| bposd_shots(dec, obs, packed, nd, shots, threads));
        let conv: Vec<u8> = out.iter().map(|x| x.1).collect();
        Ok((PyBytes::new(py, &le_u64(out.iter().map(|x| x.0))), PyBytes::new(py, &conv)))
    }
}

/// Window decoding of a model cut by time.
#[pyclass(name = "WindowMatcher", module = "stabilizer_qec._core")]
pub struct PyWindowMatcher {
    wd: PyWindows,
    correlated: bool,
    #[pyo3(get)]
    num_detectors: usize,
    #[pyo3(get)]
    num_observables: usize,
}

enum PyWindows {
    Whole(Box<WindowDecoder>),
    Streamed(Box<crate::batch::StreamedWindows>),
}

#[pymethods]
impl PyWindowMatcher {
    /// `template`: windows from a template of the model's loop (True), from the whole model
    /// (False), or the template for a model of more than a million faults (None).
    #[new]
    #[pyo3(signature = (dem, commit, buffer, mode, correlated, template=None))]
    fn new(dem: &PyDem, commit: usize, buffer: usize, mode: &str, correlated: bool, template: Option<bool>) -> PyResult<Self> {
        let mode = match mode {
            "sliding" => Mode::Sliding,
            "parallel" => Mode::Parallel,
            other => return Err(err(format!("mode '{other}' is neither sliding nor parallel"))),
        };
        let (nd, no) = (dem.dem.num_detectors(), dem.dem.num_observables());
        let streamed = || crate::batch::StreamedWindows::new(dem.dem.program(), commit, buffer, mode).map(Box::new);
        let whole = || -> PyResult<PyWindows> {
            Ok(PyWindows::Whole(Box::new(WindowDecoder::new(Model::new(dem.flat()?).map_err(err)?, commit, buffer, mode).map_err(err)?)))
        };
        let wd = match template {
            Some(true) => PyWindows::Streamed(streamed().map_err(err)?),
            None if dem.dem.num_errors() > 1_000_000 => match streamed() {
                Ok(s) => PyWindows::Streamed(s),
                Err(_) => whole()?,
            },
            _ => whole()?,
        };
        Ok(PyWindowMatcher { wd, correlated, num_detectors: nd, num_observables: no })
    }

    fn windows(&self) -> Vec<WindowInfo> {
        match &self.wd {
            PyWindows::Whole(wd) => window_info(wd),
            PyWindows::Streamed(sw) => sw.windows(),
        }
    }

    /// Whether the windows come from a template of the model's loop.
    #[getter]
    fn streamed(&self) -> bool {
        matches!(self.wd, PyWindows::Streamed(_))
    }

    /// (observables as u64 per shot, the defects left unexplained, each window's decode
    /// seconds per shot as f64 when `timings`, the shots a window refused).
    #[allow(clippy::type_complexity)]
    fn decode_batch<'py>(
        &self,
        py: Python<'py>,
        packed: &[u8],
        shots: usize,
        threads: usize,
        timings: bool,
    ) -> PyResult<(Bound<'py, PyBytes>, usize, Bound<'py, PyBytes>, Vec<usize>)> {
        let nd = self.num_detectors;
        check_rows(packed.len(), nd.div_ceil(8), shots, nd, "detectors")?;
        let (wd, correlated) = (&self.wd, self.correlated);
        let out = py.detach(|| match wd {
            PyWindows::Whole(wd) => window_shots(wd, packed, nd, shots, correlated, threads, timings),
            PyWindows::Streamed(sw) => crate::batch::streamed_window_shots(sw, packed, nd, shots, correlated, threads, timings),
        });
        let unexplained = out.iter().map(|x| x.1).sum();
        let times = le_f64(out.iter().flat_map(|x| x.2.iter().copied()));
        let failed = out.iter().enumerate().filter(|(_, x)| x.3).map(|(s, _)| s).collect();
        Ok((PyBytes::new(py, &le_u64(out.iter().map(|x| x.0))), unexplained, PyBytes::new(py, &times), failed))
    }
}

/* -- Decoders on a check matrix ------------------------------------------------------------ */

/// Belief propagation on a check matrix given by its columns, flooding schedule, as `ldpc`.
#[pyclass(name = "Bp", module = "stabilizer_qec._core")]
pub struct PyBp {
    bp: crate::bp::Bp,
    method: crate::bp::Method,
    max_iter: usize,
    num_checks: usize,
}

#[pymethods]
impl PyBp {
    #[new]
    fn new(num_checks: usize, columns: Vec<Vec<u32>>, priors: Vec<f64>, max_iter: usize, method: &str, scale: f64) -> PyResult<Self> {
        let bp = crate::bp::Bp::new(num_checks, &columns, &priors).map_err(err)?;
        Ok(PyBp { bp, method: bp_method(method, scale)?, max_iter, num_checks })
    }

    /// (hard decision, posterior log-likelihood ratios, converged, iterations).
    fn decode(&self, syndrome: Vec<u8>) -> PyResult<(Vec<u32>, Vec<f64>, bool, usize)> {
        if syndrome.len() != self.num_checks {
            return Err(err(format!("{} syndrome bits for {} checks", syndrome.len(), self.num_checks)));
        }
        let mut w = self.bp.work();
        let out = self.bp.decode(&syndrome, self.method, self.max_iter, &mut w);
        Ok((bits(&w.hard), w.llr, out.converged, out.iterations))
    }
}

/// BP+OSD on a check matrix given by its columns.
#[pyclass(name = "BpOsd", module = "stabilizer_qec._core")]
pub struct PyBpOsd {
    dec: BpOsd,
    num_checks: usize,
}

#[pymethods]
impl PyBpOsd {
    #[new]
    #[allow(clippy::too_many_arguments)]
    fn new(num_checks: usize, columns: Vec<Vec<u32>>, priors: Vec<f64>, max_iter: usize, method: &str, scale: f64, osd: &str, order: usize) -> PyResult<Self> {
        let dec = BpOsd::new(num_checks, columns, &priors, bp_method(method, scale)?, max_iter, osd_method(osd, order)?).map_err(err)?;
        Ok(PyBpOsd { dec, num_checks })
    }

    /// (correction, BP converged, iterations).
    fn decode(&self, syndrome: Vec<u8>) -> PyResult<(Vec<u32>, bool, usize)> {
        if syndrome.len() != self.num_checks {
            return Err(err(format!("{} syndrome bits for {} checks", syndrome.len(), self.num_checks)));
        }
        let mut w = self.dec.work();
        let out = self.dec.decode(&syndrome, &mut w);
        Ok((bits(&w.correction), out.converged, out.iterations))
    }
}

pub fn register(m: &Bound<'_, PyModule>) -> PyResult<()> {
    m.add_class::<PyCircuit>()?;
    m.add_class::<PyDem>()?;
    m.add_class::<PySampler>()?;
    m.add_class::<PyM2d>()?;
    m.add_class::<PyMatcher>()?;
    m.add_class::<PyUnionFinder>()?;
    m.add_class::<PyBeliefMatcher>()?;
    m.add_class::<PyDemBpOsd>()?;
    m.add_class::<PyWindowMatcher>()?;
    m.add_class::<PyBp>()?;
    m.add_class::<PyBpOsd>()?;
    Ok(())
}