runner.bend

bend-kit-runner@0.12.0.1 · 1,793 lines · 0 definitions

1# Durable job runner: a journaled scheduler queue, bounded by a resources pool, with retry and a breaker per target. Source: https://github.com/paymog/bend-kit/tree/main/runner
2import Base
3import bend-kit-bytes@0.3.3.0/bytes.bend as Bytes
4import bend-kit-journal@0.3.0.1/journal.bend as J
5import bend-kit-scheduler@0.4.1.0/queue.bend as Q
6import bend-kit-resources@0.1.0.0/resources.bend as Res
7import bend-kit-retry@0.2.0.0/retry.bend as Retry
8import bend-kit-time@0.3.0.0/time.bend as Time
9import bend-kit-collections@0.1.4.1/heap.bend as H
10import bend-kit-collections@0.1.4.1/omap.bend as O
11import bend-kit-collections@0.1.4.1/hmap.bend as M
12import bend-kit-files@0.3.0.0/files.bend as Files
13
14# Why retry gave up on a ticket: its budget was spent, its deadline passed, its failure must not repeat,
15# or another try would repeat its failure.
16type Why is Data:
17  WhySpent{}
18  WhyLate{}
19  WhyUnsafe{}
20  WhyFailed{}
21
22# A ticket that retry gave up on, with its payload, and when it gave up (wall-clock ms).
23# It stays until Revive, Cancel, or Purge takes it.
24type Dead<-A: Data> is Data:
25  Dead{ticket: Q.Ticket<A>, why: Why, at: Nat}
26
27# One durable transition. Each one is one journal record, appended before the state changes.
28# Select: the queue's select at now. Replay runs it at the same now, so it takes the same ticket.
29# Requeue: the attempt failed; it counts one failure. Defer: the breaker held the ticket back; no attempt ran.
30# Abandon: retry gave up at at; the running ticket becomes dead. Revive: a dead ticket is pending again at deadline, with a new budget.
31# Purge: the dead tickets abandoned before before are dropped. PurgeAll: every dead ticket is dropped.
32# Break: the breaker of target changed to state.
33type Op<-A: Data> is Data:
34  Enqueue{deadline: Nat, payload: A}
35  Select{now: Nat}
36  Complete{id: Nat}
37  Cancel{id: Nat}
38  Requeue{id: Nat, deadline: Nat}
39  Defer{id: Nat, deadline: Nat}
40  Abandon{id: Nat, why: Why, at: Nat}
41  Revive{id: Nat, deadline: Nat}
42  Purge{before: Nat}
43  PurgeAll{}
44  Break{target: String, state: Retry.State}
45
46# The failed attempts of a ticket, and its first deadline, from which the policy deadline counts.
47type Try is Data:
48  Try{fails: Nat, start: Nat}
49
50# A Try for each ticket that is not yet complete, cancelled, or dead, by ticket id.
51def Tries() -> Data:
52  O.OMap<Nat, Try>
53
54# The breaker state of each target that has one, by target. An absent target is closed with no failures.
55def Breakers() -> Data:
56  Map<&2, Retry.State>
57
58def dead.hash(i: Nat) -> U32:
59  U32.from_nat(i)
60
61# The dead tickets, by ticket id.
62def Graves(-A: Data) -> Data:
63  M.HMap<Nat, Dead<A>>
64
65# The durable state: the queue, the tries, the dead tickets, and the breakers.
66type State<-A: Data> is Data:
67  State{queue: Q.State<A>, tries: Tries(), dead: Graves(A), breakers: Breakers()}
68
69def new(-A: Data) -> State<A>:
70  State{Q.new(A), O.OMap.new(Nat, Try), M.HMap.new(Nat, Dead<A>), Map.new(&2, Retry.State)}
71
72def queue(-A: Data, s: State<A>) -> Q.State<A>:
73  State{q, ts, ds, bs} = s
74  q
75
76def tries(-A: Data, s: State<A>) -> Tries():
77  State{q, ts, ds, bs} = s
78  ts
79
80# The dead tickets, by id. A Revive of one makes it pending again; a Cancel or a Purge drops it.
81def dead(-A: Data, s: State<A>) -> Graves(A):
82  State{q, ts, ds, bs} = s
83  ds
84
85def breakers(-A: Data, s: State<A>) -> Breakers():
86  State{q, ts, ds, bs} = s
87  bs
88
89# ---- dead tickets
90
91def dead.get(~A: Data, ds: Graves(A), +i: Nat) -> Maybe<&2, Dead<A>>:
92  M.HMap.get(~Nat, ~Dead<A>, ~dead.hash, ~Nat.is_eq, ds, i)
93
94def dead.drop(~A: Data, ds: Graves(A), +i: Nat) -> Graves(A):
95  M.HMap.del(~Nat, ~Dead<A>, ~dead.hash, ~Nat.is_eq, ds, i)
96
97def dead.bury(~A: Data, m: Maybe<&2, Q.Ticket<A>>, ds: Graves(A), w: Why, +at: Nat) -> Graves(A):
98  match m:
99    case None{}:
100      ds
101    case Some{Q.Ticket{+i, d, x}}:
102      M.HMap.put(~Nat, ~Dead<A>, ~dead.hash, ~Nat.is_eq, ds, i, Dead{Q.Ticket{i, d, x}, w, at})
103
104def dead.list.entries(-A: Data, es: List<&2, M.Entry<Nat, Dead<A>>>, acc: List<&2, Dead<A>>) -> List<&2, Dead<A>>:
105  match es:
106    case Nil{}:
107      acc
108    case Con{M.Entry{k, d}, rest}:
109      dead.list.entries(A, rest, Con{d, acc})
110
111def dead.list.go(-A: Data, ds: Graves(A), acc: List<&2, Dead<A>>) -> List<&2, Dead<A>>:
112  match ds:
113    case M.HNil{}:
114      acc
115    case M.HLeaf{h, es}:
116      dead.list.entries(A, es, acc)
117    case M.HBranch{lo, hi}:
118      dead.list.go(A, lo, dead.list.go(A, hi, acc))
119
120# The dead tickets, in no set order.
121def dead.list(-A: Data, ds: Graves(A)) -> List<&2, Dead<A>>:
122  dead.list.go(A, ds, Nil{})
123
124def dead.old.keep(-A: Data, old: Bool, +i: Nat, rest: List<&2, Nat>) -> List<&2, Nat>:
125  match old:
126    case True{}:
127      Con{i, rest}
128    case False{}:
129      rest
130
131# The ids of the dead tickets abandoned before t.
132def dead.old(-A: Data, ds: List<&2, Dead<A>>, +t: Nat) -> List<&2, Nat>:
133  match ds:
134    case Nil{}:
135      Nil{}
136    case Con{Dead{Q.Ticket{i, d, x}, w, +at}, rest}:
137      dead.old.keep(A, Nat.is_lt(at, t), i, dead.old(A, rest, t))
138
139def dead.drops(~A: Data, ks: List<&2, Nat>, ds: Graves(A)) -> Graves(A):
140  match ks:
141    case Nil{}:
142      ds
143    case Con{k, rest}:
144      dead.drops(~A, rest, dead.drop(~A, ds, k))
145
146# The dead tickets without those abandoned before t. It walks every dead ticket once.
147def dead.purge(~A: Data, +ds: Graves(A), +t: Nat) -> Graves(A):
148  dead.drops(~A, dead.old(A, dead.list(A, ds), t), ds)
149
150# ---- tries
151
152def tries.drop(ts: Tries(), +i: Nat) -> Tries():
153  O.OMap.del(~Nat, ~Try, ~Nat.cmp, ts, i)
154
155def tries.get(ts: Tries(), +i: Nat) -> Maybe<&2, Try>:
156  O.OMap.get(~Nat, ~Try, ~Nat.cmp, ts, i)
157
158def tries.bump.got(m: Maybe<&2, Try>, ts: Tries(), +i: Nat) -> Tries():
159  match m:
160    case None{}:
161      ts
162    case Some{Try{f, st}}:
163      O.OMap.put(~Nat, ~Try, ~Nat.cmp, ts, i, Try{1n+f, st})
164
165def tries.bump(+ts: Tries(), +i: Nat) -> Tries():
166  tries.bump.got(tries.get(ts, i), ts, i)
167
168# ---- breakers
169
170def brk.got(r: Breakers() & Retry.State) -> Retry.State:
171  (m, b) = r
172  b
173
174# The breaker state of target key.
175def brk.get(-A: Data, s: State<A>, key: String) -> Retry.State:
176  brk.got(Map.get(Retry.State, Retry.CircuitClosed{Nil{}}, breakers(A, s), key))
177
178def brk.state(br: Retry.Breaker, old: Retry.State) -> Retry.State:
179  match br:
180    case Retry.BreakerOff{}:
181      old
182    case Retry.BreakerOn{c, st}:
183      st
184
185def brk.nats(a: List<&2, Nat>, b: List<&2, Nat>) -> Bool:
186  match a b:
187    case Nil{} Nil{}:
188      True{}
189    case Con{+x, xs} Con{+y, ys}:
190      Bool.and(Nat.is_eq(x, y), brk.nats(xs, ys))
191    case p q:
192      False{}
193
194def brk.same(a: Retry.State, b: Retry.State) -> Bool:
195  match a b:
196    case Retry.CircuitClosed{xs} Retry.CircuitClosed{ys}:
197      brk.nats(xs, ys)
198    case Retry.CircuitOpen{+x} Retry.CircuitOpen{+y}:
199      Nat.is_eq(x, y)
200    case Retry.CircuitHalf{+x} Retry.CircuitHalf{+y}:
201      Nat.is_eq(x, y)
202    case p q:
203      False{}
204
205def calm.state(b: Retry.State) -> Retry.State:
206  match b:
207    case Retry.CircuitClosed{fs}:
208      Retry.CircuitClosed{fs}
209    case Retry.CircuitOpen{u}:
210      Retry.CircuitOpen{u}
211    case Retry.CircuitHalf{k}:
212      Retry.CircuitHalf{0n}
213
214def calm.map(m: Breakers()) -> Breakers():
215  match m:
216    case MTip{}:
217      MTip{}
218    case MLeaf{k, v}:
219      MLeaf{k, calm.state(v)}
220    case MNode{p, lo, hi}:
221      MNode{p, calm.map(lo), calm.map(hi)}
222
223# The probes of a half-open breaker died with the process that ran them, so open counts none in flight.
224def calm(-A: Data, s: State<A>) -> State<A>:
225  State{q, ts, ds, bs} = s
226  State{q, ts, ds, calm.map(bs)}
227
228# ---- the transition
229
230def step.enqueued(-A: Data, r: Q.State<A> & Nat, ts: Tries(), ds: Graves(A), bs: Breakers(), d: Nat) -> State<A>:
231  (q, i) = r
232  State{q, O.OMap.put(~Nat, ~Try, ~Nat.cmp, ts, i, Try{0n, d}), ds, bs}
233
234def step.selected(-A: Data, r: Q.State<A> & Maybe<&2, Q.Ticket<A>>, ts: Tries(), ds: Graves(A), bs: Breakers()) -> State<A>:
235  (q, t) = r
236  State{q, ts, ds, bs}
237
238def step.requeued(-A: Data, r: Q.State<A> & Bool, ts: Tries(), ds: Graves(A), bs: Breakers()) -> State<A>:
239  (q, b) = r
240  State{q, ts, ds, bs}
241
242# Complete takes the ticket from the running list only: O(running), not O(pending).
243def step.completed(-A: Data, r: Q.State<A> & Maybe<&2, Q.Ticket<A>>, ts: Tries(), ds: Graves(A), bs: Breakers()) -> State<A>:
244  (q, t) = r
245  State{q, ts, ds, bs}
246
247# Abandon takes the ticket from the running list, as Complete does, and keeps it with its payload.
248def step.abandoned(~A: Data, r: Q.State<A> & Maybe<&2, Q.Ticket<A>>, ts: Tries(), ds: Graves(A), bs: Breakers(), w: Why, +at: Nat) -> State<A>:
249  (q, t) = r
250  State{q, ts, dead.bury(~A, t, ds, w, at), bs}
251
252# The revived ticket keeps its payload and takes id i, the key it was dead under.
253def step.revived(~A: Data, m: Maybe<&2, Dead<A>>, +i: Nat, n: Nat, h: H.Heap<Q.Ticket<A>>, r: List<&2, Q.Ticket<A>>, ts: Tries(), ds: Graves(A), bs: Breakers(), +d: Nat) -> State<A>:
254  match m:
255    case None{}:
256      State{Q.State{n, h, r}, ts, ds, bs}
257    case Some{Dead{Q.Ticket{k, old, x}, w, at}}:
258      State{Q.State{n, H.Heap.push(~Q.Ticket<A>, ~(a => b => Q.le(A, a, b)), Q.Ticket{i, d, x}, h), r}, O.OMap.put(~Nat, ~Try, ~Nat.cmp, ts, i, Try{0n, d}), ds, bs}
259
260# A closed breaker with no failures reads the same as an absent one, so it leaves the map.
261def step.broke(bs: Breakers(), k: String, b: Retry.State) -> Breakers():
262  match b:
263    case Retry.CircuitClosed{Nil{}}:
264      Map.del(&2, Retry.State, bs, k)
265    case b:
266      Map.set(&2, Retry.State, bs, k, b)
267
268# The state after op. Live and replay both run it, so they agree.
269def step(~A: Data, s: State<A>, op: Op<A>) -> State<A>:
270  match s op:
271    case State{q, ts, ds, bs} Enqueue{+d, x}:
272      step.enqueued(A, Q.enqueue(~A, d, x, q), ts, ds, bs, d)
273    case State{q, ts, ds, bs} Select{now}:
274      step.selected(A, Q.select(~A, now, q), ts, ds, bs)
275    case State{q, ts, ds, bs} Complete{+i}:
276      step.completed(A, Q.complete(A, i, q), tries.drop(ts, i), ds, bs)
277    case State{q, ts, ds, bs} Cancel{+i}:
278      State{Q.cancel(~A, i, q), tries.drop(ts, i), dead.drop(~A, ds, i), bs}
279    case State{q, ts, ds, bs} Requeue{+i, d}:
280      step.requeued(A, Q.requeue(~A, i, d, q), tries.bump(ts, i), ds, bs)
281    case State{q, ts, ds, bs} Defer{i, d}:
282      step.requeued(A, Q.requeue(~A, i, d, q), ts, ds, bs)
283    case State{q, ts, ds, bs} Abandon{+i, w, at}:
284      step.abandoned(~A, Q.complete(A, i, q), tries.drop(ts, i), ds, bs, w, at)
285    case State{Q.State{n, h, r}, ts, +ds, bs} Revive{+i, d}:
286      step.revived(~A, dead.get(~A, ds, i), i, n, h, r, ts, dead.drop(~A, ds, i), bs, d)
287    case State{q, ts, ds, bs} Purge{t}:
288      State{q, ts, dead.purge(~A, ds, t), bs}
289    case State{q, ts, ds, bs} PurgeAll{}:
290      State{q, ts, M.HMap.new(Nat, Dead<A>), bs}
291    case State{q, ts, ds, bs} Break{k, b}:
292      State{q, ts, ds, step.broke(bs, k, b)}
293
294def apply.op(~A: Data, m: Maybe<&2, Op<A>>, s: State<A>) -> Maybe<&2, State<A>>:
295  match m:
296    case None{}:
297      None{}
298    case Some{op}:
299      Some{step(~A, s, op)}
300
301# Folds one record into the replayed state. A record that does not decode ends the replay with None.
302def apply(~A: Data, ~R: Type, ~dec: R -> Maybe<&2, Op<A>>, acc: Maybe<&2, State<A>>, r: R) -> Maybe<&2, State<A>>:
303  match acc:
304    case None{}:
305      None{}
306    case Some{s}:
307      apply.op(~A, dec(r), s)
308
309# A journal record. Compaction writes one Snap of the whole state; every other record is one op.
310type Rec<-A: Data> is Data:
311  Snap{state: State<A>}
312  Do{op: Op<A>}
313
314def load.rec(~A: Data, m: Maybe<&2, Rec<A>>, s: State<A>) -> Maybe<&2, State<A>>:
315  match m:
316    case None{}:
317      None{}
318    case Some{Snap{t}}:
319      Some{t}
320    case Some{Do{op}}:
321      Some{step(~A, s, op)}
322
323# Folds one record into the replayed state: a Snap replaces it, and an op steps it, as apply does.
324# A record that does not decode ends the replay with None.
325def load(~A: Data, ~R: Type, ~dec: R -> Maybe<&2, Rec<A>>, acc: Maybe<&2, State<A>>, r: R) -> Maybe<&2, State<A>>:
326  match acc:
327    case None{}:
328      None{}
329    case Some{s}:
330      load.rec(~A, dec(r), s)
331
332# ---- pool
333
334# Picked: a due ticket and one unit of the pool for it. Idle: no due ticket, or no free unit; the pool is unchanged.
335type Pick<-A: Data> is Type:
336  Picked{pool: Res.Pool, ticket: Q.Ticket<A>, grant: Res.Grant}
337  Idle{pool: Res.Pool}
338
339def pick.took(-A: Data, r: Res.Reserve, t: Q.Ticket<A>) -> Pick<A>:
340  match r:
341    case Res.Took{p, g}:
342      Picked{p, t, g}
343    case Res.Refused{p}:
344      Idle{p}
345
346def pick.due(-A: Data, m: Maybe<&2, Q.Ticket<A>>, p: Res.Pool) -> Pick<A>:
347  match m:
348    case None{}:
349      Idle{p}
350    case Some{t}:
351      pick.took(A, Res.reserve(p, 1n), t)
352
353def pick.sel(-A: Data, r: Q.State<A> & Maybe<&2, Q.Ticket<A>>, p: Res.Pool) -> Pick<A>:
354  (q, m) = r
355  pick.due(A, m, p)
356
357# The ticket that Select{now} takes, with one unit of p, when there is a ticket due and a unit free.
358def pick(~A: Data, p: Res.Pool, s: State<A>, now: Nat) -> Pick<A>:
359  State{q, ts, ds, bs} = s
360  pick.sel(A, Q.select(~A, now, q), p)
361
362# ---- retry
363
364# The budget left for ticket i: the policy's attempts less its failures, until its start plus the policy deadline.
365def budget.of(+attempts: Nat, t: Maybe<&2, Try>, d: Maybe<&2, Nat>) -> Retry.Budget:
366  match t d:
367    case None{} m:
368      Retry.Budget{attempts, None{}}
369    case Some{Try{f, st}} None{}:
370      Retry.Budget{Nat.sub(attempts, f), None{}}
371    case Some{Try{f, +st}} Some{ms}:
372      Retry.Budget{Nat.sub(attempts, f), Some{Nat.add(st, ms)}}
373
374def budget(p: Retry.Policy, t: Maybe<&2, Try>) -> Retry.Budget:
375  Retry.Policy{a, base, cap, d} = p
376  budget.of(a, t, d)
377
378# The failures so far: the index of the next retry.
379def fails(t: Maybe<&2, Try>) -> Nat:
380  match t:
381    case None{}:
382      0n
383    case Some{Try{f, st}}:
384      f
385
386# Why retry stopped a transient failure: no attempt is left, or the next wait would reach the deadline.
387def gave(b: Retry.Budget) -> Why:
388  Retry.Budget{left, d} = b
389  match left:
390    case 0n:
391      WhySpent{}
392    case 1n+k:
393      WhyLate{}
394
395# A settled attempt completes its ticket; retry gave up at now on any other.
396def stopped(-A: Data, o: Retry.Outcome, b: Retry.Budget, +id: Nat, +now: Nat) -> Op<A>:
397  match o:
398    case Retry.Settled{}:
399      Complete{id}
400    case Retry.Failed{}:
401      Abandon{id, WhyFailed{}, now}
402    case Retry.Unsafe{}:
403      Abandon{id, WhyUnsafe{}, now}
404    case Retry.Transient{w}:
405      Abandon{id, gave(b), now}
406
407def after.plan(-A: Data, pl: Retry.Plan, o: Retry.Outcome, b: Retry.Budget, +id: Nat, +now: Nat) -> Op<A>:
408  match pl:
409    case Retry.PlanStop{}:
410      stopped(A, o, b, id, now)
411    case Retry.PlanWait{w}:
412      Requeue{id, Nat.add(now, w)}
413
414# The record after an attempt of ticket id ends at now with o: requeue at now plus retry's wait,
415# complete when o is settled, or abandon when retry gave up.
416def after(-A: Data, +o: Retry.Outcome, p: Retry.Policy, +b: Retry.Budget, +id: Nat, +n: Nat, +now: Nat, +r: Nat) -> Op<A>:
417  after.plan(A, Retry.plan(o, p, b, n, now, r), o, b, id, now)
418
419# When an open breaker lets attempts start again.
420def until(br: Retry.Breaker, +now: Nat) -> Nat:
421  match br:
422    case Retry.BreakerOn{c, Retry.CircuitOpen{u}}:
423      u
424    case Retry.BreakerOn{c, Retry.CircuitClosed{fs}}:
425      Nat.add(now, Retry.Circuit.cooldown(c))
426    case Retry.BreakerOn{c, Retry.CircuitHalf{k}}:
427      Nat.add(now, Retry.Circuit.cooldown(c))
428    case Retry.BreakerOff{}:
429      now
430
431# The record for a ticket that admit refused: Defer to when the breaker may admit, or Abandon when its budget is spent or late.
432def held(-A: Data, why: Retry.Deny, br: Retry.Breaker, +id: Nat, +now: Nat) -> Op<A>:
433  match why:
434    case Retry.DenyOpen{}:
435      Defer{id, until(br, now)}
436    case Retry.DenyLate{}:
437      Abandon{id, WhyLate{}, now}
438    case Retry.DenySpent{}:
439      Abandon{id, WhySpent{}, now}
440
441# ---- the record codec: a u32le tag, then u64le fields; an Enqueue then holds the payload.
442# An Abandon is tag 8, then id, why.code, and at. A Purge is tag 11 and before; a PurgeAll is tag 12.
443# A Break is tag 10, then its target and its breaker state.
444
445def why.code(w: Why) -> Nat:
446  match w:
447    case WhySpent{}:
448      0n
449    case WhyLate{}:
450      1n
451    case WhyUnsafe{}:
452      2n
453    case WhyFailed{}:
454      3n
455
456def W() -> Nat:
457  Nat.mul(65536n, 65536n)
458
459# Nat fields hold values under 2^64.
460def put.u64(b: Bytes.Bytes, +at: U32, +n: Nat) -> Bytes.Bytes:
461  Bytes.set.u32le(Bytes.set.u32le(b, at, U32.from_nat(Nat.mod(n, W()))), (at + 4 : U32), U32.from_nat(Nat.div(n, W())))
462
463def head(+tag: U32, +a: Nat, +c: Nat) -> Bytes.Bytes:
464  put.u64(put.u64(Bytes.set.u32le(Bytes.new(20), 0, tag), 4, a), 12, c)
465
466def snap.u32(out: Bytes.Bytes, +v: U32) -> Bytes.Bytes:
467  Bytes.append(out, Bytes.set.u32le(Bytes.new(4), 0, v))
468
469def snap.u64(out: Bytes.Bytes, +n: Nat) -> Bytes.Bytes:
470  Bytes.append(out, put.u64(Bytes.new(8), 0, n))
471
472def snap.chars(s: String, out: Bytes.Bytes) -> Bytes.Bytes:
473  match s:
474    case SNil{}:
475      out
476    case SCon{Chr{c}, t}:
477      snap.chars(t, snap.u32(out, c))
478
479# A target is a u32 count of chars, then each char as a u32.
480def snap.key(out: Bytes.Bytes, +k: String) -> Bytes.Bytes:
481  snap.chars(k, snap.u32(out, Bytes.count(k, 0)))
482
483def snap.nats(xs: List<&2, Nat>, out: Bytes.Bytes) -> Bytes.Bytes:
484  match xs:
485    case Nil{}:
486      out
487    case Con{x, rest}:
488      snap.nats(rest, snap.u64(out, x))
489
490# A breaker state is a u32 kind. 0 is closed: a u32 count, then each failure as a u64. 1 is open: until. 2 is half-open: busy.
491def snap.brk(out: Bytes.Bytes, b: Retry.State) -> Bytes.Bytes:
492  match b:
493    case Retry.CircuitClosed{+fs}:
494      snap.nats(fs, snap.u32(snap.u32(out, 0), U32.from_nat(List.length(&2, Nat, fs))))
495    case Retry.CircuitOpen{u}:
496      snap.u64(snap.u32(out, 1), u)
497    case Retry.CircuitHalf{k}:
498      snap.u64(snap.u32(out, 2), k)
499
500def encode(~A: Data, ~penc: A -> Bytes.Bytes, op: Op<A>) -> Bytes.Bytes:
501  match op:
502    case Enqueue{+d, x}:
503      Bytes.append(put.u64(Bytes.set.u32le(Bytes.new(12), 0, 1), 4, d), penc(x))
504    case Select{+now}:
505      head(2, now, 0n)
506    case Complete{+i}:
507      head(3, i, 0n)
508    case Cancel{+i}:
509      head(4, i, 0n)
510    case Requeue{+i, +d}:
511      head(5, i, d)
512    case Defer{+i, +d}:
513      head(6, i, d)
514    case Abandon{+i, w, +at}:
515      Bytes.append(head(8, i, why.code(w)), put.u64(Bytes.new(8), 0, at))
516    case Revive{+i, +d}:
517      head(9, i, d)
518    case Purge{+t}:
519      head(11, t, 0n)
520    case PurgeAll{}:
521      head(12, 0n, 0n)
522    case Break{k, b}:
523      snap.brk(snap.key(snap.u32(Bytes.new(0), 10), k), b)
524
525def get.field(m: Maybe<&2, U32>) -> U32:
526  match m:
527    case None{}:
528      0
529    case Some{x}:
530      x
531
532def get.u32(r: Bytes.Bytes & Maybe<&2, U32>) -> Bytes.Bytes & U32:
533  (b, m) = r
534  (b, get.field(m))
535
536def get.hi(+lo: U32, r: Bytes.Bytes & Maybe<&2, U32>) -> Bytes.Bytes & Nat:
537  (b, m) = r
538  (b, Nat.add(U32.to_nat(lo), Nat.mul(U32.to_nat(get.field(m)), W())))
539
540def get.lo(+at: U32, r: Bytes.Bytes & Maybe<&2, U32>) -> Bytes.Bytes & Nat:
541  (b, m) = r
542  +lo = get.field(m)
543  get.hi(lo, Bytes.get.u32le(b, (at + 4 : U32)))
544
545def get.u64(b: Bytes.Bytes, +at: U32) -> Bytes.Bytes & Nat:
546  get.lo(at, Bytes.get.u32le(b, at))
547
548# ---- the snapshot codec: tag 7 and the next id, then the heap, the running list, the tries, the dead tickets, and the breakers.
549# A u32 flag starts each tree node and list cell (1) and marks each end (0), so decode rebuilds the same shape.
550# A ticket is its u64 id and deadline, then a u32 length and the payload.
551# The dead tickets are a trie: each node is a u32 kind, 0 empty, 1 a bucket, or 2 a branch, then its lo and hi nodes.
552# A bucket is its u32 hash, then a list of entries: the u64 key, the ticket, a u32 why.code, and the u64 abandon time.
553# A breaker is its target, then its state, as in a Break record.
554
555def snap.payload(out: Bytes.Bytes, p: Bytes.Bytes) -> Bytes.Bytes:
556  Bytes.Bytes{+len, buf} = p
557  Bytes.append(snap.u32(out, len), Bytes.Bytes{len, buf})
558
559def snap.ticket(~A: Data, ~penc: A -> Bytes.Bytes, out: Bytes.Bytes, t: Q.Ticket<A>) -> Bytes.Bytes:
560  Q.Ticket{+i, +d, x} = t
561  snap.payload(snap.u64(snap.u64(out, i), d), penc(x))
562
563def snap.heap(~A: Data, ~penc: A -> Bytes.Bytes, h: H.Heap<Q.Ticket<A>>, out: Bytes.Bytes) -> Bytes.Bytes:
564  match h:
565    case H.HLeaf{}:
566      snap.u32(out, 0)
567    case H.HNode{+n, t, l, r}:
568      snap.heap(~A, ~penc, r, snap.heap(~A, ~penc, l, snap.ticket(~A, ~penc, snap.u64(snap.u32(out, 1), n), t)))
569
570def snap.run(~A: Data, ~penc: A -> Bytes.Bytes, xs: List<&2, Q.Ticket<A>>, out: Bytes.Bytes) -> Bytes.Bytes:
571  match xs:
572    case Nil{}:
573      snap.u32(out, 0)
574    case Con{t, rest}:
575      snap.run(~A, ~penc, rest, snap.ticket(~A, ~penc, snap.u32(out, 1), t))
576
577def snap.tries(ts: Tries(), out: Bytes.Bytes) -> Bytes.Bytes:
578  match ts:
579    case O.OTip{}:
580      snap.u32(out, 0)
581    case O.OBin{+n, +k, Try{+f, +st}, lo, hi}:
582      snap.tries(hi, snap.tries(lo, snap.u64(snap.u64(snap.u64(snap.u32(snap.u32(out, 1), n), k), f), st)))
583
584def snap.entries(~A: Data, ~penc: A -> Bytes.Bytes, es: List<&2, M.Entry<Nat, Dead<A>>>, out: Bytes.Bytes) -> Bytes.Bytes:
585  match es:
586    case Nil{}:
587      snap.u32(out, 0)
588    case Con{M.Entry{k, Dead{t, w, at}}, rest}:
589      snap.entries(~A, ~penc, rest, snap.u64(snap.u32(snap.ticket(~A, ~penc, snap.u64(snap.u32(out, 1), k), t), U32.from_nat(why.code(w))), at))
590
591def snap.graves(~A: Data, ~penc: A -> Bytes.Bytes, ds: Graves(A), out: Bytes.Bytes) -> Bytes.Bytes:
592  match ds:
593    case M.HNil{}:
594      snap.u32(out, 0)
595    case M.HLeaf{h, es}:
596      snap.entries(~A, ~penc, es, snap.u32(snap.u32(out, 1), h))
597    case M.HBranch{lo, hi}:
598      snap.graves(~A, ~penc, hi, snap.graves(~A, ~penc, lo, snap.u32(out, 2)))
599
600def snap.brks(xs: List<&2, Sigma<&2, &2, String, _ => Retry.State>>, out: Bytes.Bytes) -> Bytes.Bytes:
601  match xs:
602    case Nil{}:
603      snap.u32(out, 0)
604    case Con{(k, b), rest}:
605      snap.brks(rest, snap.brk(snap.key(snap.u32(out, 1), k), b))
606
607# The Snap record of s.
608def encode.snap(~A: Data, ~penc: A -> Bytes.Bytes, s: State<A>) -> Bytes.Bytes:
609  State{Q.State{+n, h, run}, ts, ds, bs} = s
610  snap.brks(Map.to_list(&2, Retry.State, bs),
611    snap.graves(~A, ~penc, ds, snap.tries(ts, snap.run(~A, ~penc, run, snap.heap(~A, ~penc, h, snap.u64(snap.u32(Bytes.new(0), 7), n))))))
612
613def encode.rec(~A: Data, ~penc: A -> Bytes.Bytes, r: Rec<A>) -> Bytes.Bytes:
614  match r:
615    case Snap{s}:
616      encode.snap(~A, ~penc, s)
617    case Do{op}:
618      encode(~A, ~penc, op)
619
620# A snapshot reader: the record, and the offset of the next field.
621type Rd is Type:
622  Rd{b: Bytes.Bytes, at: U32}
623
624# One step of the snapshot decoder. None: a field runs past the record or does not decode.
625def Dec(-T: Type) -> Type:
626  Rd -> Maybe<&1, Rd & T>
627
628def Dec.next(-A: Type, -B: Type, m: Maybe<&1, Rd & A>, f: A -> Dec(B)) -> Maybe<&1, Rd & B>:
629  match m:
630    case None{}:
631      None{}
632    case Some{(r, x)}:
633      f(x)(r)
634
635def Dec.bind(-A: Type, -B: Type, m: Dec(A), f: A -> Dec(B)) -> Dec(B):
636  r => Dec.next(A, B, m(r), f)
637
638def Dec.pure(-A: Type, x: A) -> Dec(A):
639  r => Some{(r, x)}
640
641def Dec.fail(-A: Type) -> Dec(A):
642  r => None{}
643
644def rd.u32.of(m: Maybe<&2, U32>, b: Bytes.Bytes, +at: U32) -> Maybe<&1, Rd & U32>:
645  match m:
646    case None{}:
647      None{}
648    case Some{x}:
649      Some{(Rd{b, (at + 4 : U32)}, x)}
650
651def rd.u32.got(+at: U32, r: Bytes.Bytes & Maybe<&2, U32>) -> Maybe<&1, Rd & U32>:
652  (b, m) = r
653  rd.u32.of(m, b, at)
654
655def rd.u32.at(r: Rd) -> Maybe<&1, Rd & U32>:
656  Rd{b, +at} = r
657  rd.u32.got(at, Bytes.get.u32le(b, at))
658
659def rd.u32() -> Dec(U32):
660  r => rd.u32.at(r)
661
662def rd.u64.of(+lo: U32, +hi: U32) -> Nat:
663  Nat.add(U32.to_nat(lo), Nat.mul(U32.to_nat(hi), W()))
664
665def rd.u64() -> Dec(Nat):
666  do Dec<Nat>:
667    lo : U32 <- rd.u32()
668    hi : U32 <- rd.u32()
669    return rd.u64.of(lo, hi)
670
671def rd.cut.got(+at: U32, +n: U32, r: Bytes.Bytes & Bytes.Bytes) -> Maybe<&1, Rd & Bytes.Bytes>:
672  (b, p) = r
673  Some{(Rd{b, (at + n : U32)}, p)}
674
675def rd.cut.if(ok: Bool, b: Bytes.Bytes, +at: U32, +n: U32) -> Maybe<&1, Rd & Bytes.Bytes>:
676  match ok:
677    case False{}:
678      None{}
679    case True{}:
680      rd.cut.got(at, n, Bytes.slice(b, at, n))
681
682def rd.cut.at(+n: U32, r: Rd) -> Maybe<&1, Rd & Bytes.Bytes>:
683  Rd{Bytes.Bytes{+len, buf}, +at} = r
684  rd.cut.if(Bytes.fits(len, at, n), Bytes.Bytes{len, buf}, at, n)
685
686# The next n octets.
687def rd.cut(+n: U32) -> Dec(Bytes.Bytes):
688  r => rd.cut.at(n, r)
689
690def rd.flag.of(+m: U32) -> Dec(Bool):
691  Bool.pick(Dec(Bool), U32.is_eq(m, 0), Dec.pure(Bool, False{}), Bool.pick(Dec(Bool), U32.is_eq(m, 1), Dec.pure(Bool, True{}), Dec.fail(Bool)))
692
693# A u32 flag: 1 is True, 0 is False, and any other value fails.
694def rd.flag() -> Dec(Bool):
695  Dec.bind(U32, Bool, rd.u32(), m => rd.flag.of(m))
696
697def rd.payload(-A: Data, +i: Nat, +d: Nat, m: Maybe<&2, A>) -> Dec(Q.Ticket<A>):
698  match m:
699    case None{}:
700      Dec.fail(Q.Ticket<A>)
701    case Some{x}:
702      Dec.pure(Q.Ticket<A>, Q.Ticket{i, d, x})
703
704def rd.ticket(~A: Data, ~pdec: Bytes.Bytes -> Maybe<&2, A>) -> Dec(Q.Ticket<A>):
705  do Dec<Q.Ticket<A>>:
706    i : Nat <- rd.u64()
707    d : Nat <- rd.u64()
708    n : U32 <- rd.u32()
709    p : Bytes.Bytes <- rd.cut(n)
710    rd.payload(A, i, d, pdec(p))
711
712# Each rd.* tree reader takes the flag already read. fuel bounds the depth: every node holds at least one 4-octet flag.
713def rd.heap(~A: Data, ~pdec: Bytes.Bytes -> Maybe<&2, A>, +fuel: Nat, node: Bool) -> Dec(H.Heap<Q.Ticket<A>>):
714  match fuel node:
715    case 0n b:
716      Dec.fail(H.Heap<Q.Ticket<A>>)
717    case 1n+f False{}:
718      Dec.pure(H.Heap<Q.Ticket<A>>, H.HLeaf{})
719    case 1n+f True{}:
720      do Dec<H.Heap<Q.Ticket<A>>>:
721        n : Nat <- rd.u64()
722        t : Q.Ticket<A> <- rd.ticket(~A, ~pdec)
723        lf : Bool <- rd.flag()
724        l : H.Heap<Q.Ticket<A>> <- rd.heap(~A, ~pdec, f, lf)
725        rf : Bool <- rd.flag()
726        r : H.Heap<Q.Ticket<A>> <- rd.heap(~A, ~pdec, f, rf)
727        return H.HNode{n, t, l, r}
728
729def rd.run(~A: Data, ~pdec: Bytes.Bytes -> Maybe<&2, A>, +fuel: Nat, more: Bool) -> Dec(List<&2, Q.Ticket<A>>):
730  match fuel more:
731    case 0n b:
732      Dec.fail(List<&2, Q.Ticket<A>>)
733    case 1n+f False{}:
734      Dec.pure(List<&2, Q.Ticket<A>>, Nil{})
735    case 1n+f True{}:
736      do Dec<List<&2, Q.Ticket<A>>>:
737        t : Q.Ticket<A> <- rd.ticket(~A, ~pdec)
738        m : Bool <- rd.flag()
739        rest : List<&2, Q.Ticket<A>> <- rd.run(~A, ~pdec, f, m)
740        return Con{t, rest}
741
742def rd.tries(+fuel: Nat, node: Bool) -> Dec(O.OMap<Nat, Try>):
743  match fuel node:
744    case 0n b:
745      Dec.fail(O.OMap<Nat, Try>)
746    case 1n+f False{}:
747      Dec.pure(O.OMap<Nat, Try>, O.OTip{})
748    case 1n+f True{}:
749      do Dec<O.OMap<Nat, Try>>:
750        n : U32 <- rd.u32()
751        k : Nat <- rd.u64()
752        fails : Nat <- rd.u64()
753        st : Nat <- rd.u64()
754        lf : Bool <- rd.flag()
755        lo : O.OMap<Nat, Try> <- rd.tries(f, lf)
756        hf : Bool <- rd.flag()
757        hi : O.OMap<Nat, Try> <- rd.tries(f, hf)
758        return O.OBin{n, k, Try{fails, st}, lo, hi}
759
760def rd.why(+c: U32) -> Dec(Why):
761  Bool.pick(Dec(Why), U32.is_eq(c, 0), Dec.pure(Why, WhySpent{}),
762  Bool.pick(Dec(Why), U32.is_eq(c, 1), Dec.pure(Why, WhyLate{}),
763  Bool.pick(Dec(Why), U32.is_eq(c, 2), Dec.pure(Why, WhyUnsafe{}),
764  Bool.pick(Dec(Why), U32.is_eq(c, 3), Dec.pure(Why, WhyFailed{}), Dec.fail(Why)))))
765
766def rd.entries(~A: Data, ~pdec: Bytes.Bytes -> Maybe<&2, A>, +fuel: Nat, more: Bool) -> Dec(List<&2, M.Entry<Nat, Dead<A>>>):
767  match fuel more:
768    case 0n b:
769      Dec.fail(List<&2, M.Entry<Nat, Dead<A>>>)
770    case 1n+f False{}:
771      Dec.pure(List<&2, M.Entry<Nat, Dead<A>>>, Nil{})
772    case 1n+f True{}:
773      do Dec<List<&2, M.Entry<Nat, Dead<A>>>>:
774        k : Nat <- rd.u64()
775        t : Q.Ticket<A> <- rd.ticket(~A, ~pdec)
776        c : U32 <- rd.u32()
777        w : Why <- rd.why(c)
778        at : Nat <- rd.u64()
779        m : Bool <- rd.flag()
780        rest : List<&2, M.Entry<Nat, Dead<A>>> <- rd.entries(~A, ~pdec, f, m)
781        return Con{M.Entry{k, Dead{t, w, at}}, rest}
782
783# A trie node whose kind is already read: nil is kind 0, leaf kind 1, and branch kind 2. Any other kind fails.
784def rd.graves(~A: Data, ~pdec: Bytes.Bytes -> Maybe<&2, A>, +fuel: Nat, nil: Bool, leaf: Bool, branch: Bool) -> Dec(Graves(A)):
785  match fuel nil leaf branch:
786    case 0n a b c:
787      Dec.fail(Graves(A))
788    case 1n+f True{} b c:
789      Dec.pure(Graves(A), M.HNil{})
790    case 1n+f False{} True{} c:
791      do Dec<Graves(A)>:
792        h : U32 <- rd.u32()
793        m : Bool <- rd.flag()
794        es : List<&2, M.Entry<Nat, Dead<A>>> <- rd.entries(~A, ~pdec, f, m)
795        return M.HLeaf{h, es}
796    case 1n+f False{} False{} True{}:
797      do Dec<Graves(A)>:
798        +lk : U32 <- rd.u32()
799        lo : Graves(A) <- rd.graves(~A, ~pdec, f, U32.is_eq(lk, 0), U32.is_eq(lk, 1), U32.is_eq(lk, 2))
800        +hk : U32 <- rd.u32()
801        hi : Graves(A) <- rd.graves(~A, ~pdec, f, U32.is_eq(hk, 0), U32.is_eq(hk, 1), U32.is_eq(hk, 2))
802        return M.HBranch{lo, hi}
803    case 1n+f False{} False{} False{}:
804      Dec.fail(Graves(A))
805
806# Each rd.* sequence reader takes the count or flag already read. fuel bounds its length: every item holds at least 4 octets.
807def rd.chars(+fuel: Nat, end: Bool, +n: U32) -> Dec(String):
808  match fuel end:
809    case 0n b:
810      Dec.fail(String)
811    case 1n+f True{}:
812      Dec.pure(String, SNil{})
813    case 1n+f False{}:
814      +k = (n - 1 : U32)
815      do Dec<String>:
816        c : U32 <- rd.u32()
817        rest : String <- rd.chars(f, U32.is_eq(k, 0), k)
818        return SCon{Chr{c}, rest}
819
820def rd.key(+fuel: Nat) -> Dec(String):
821  do Dec<String>:
822    +n : U32 <- rd.u32()
823    rd.chars(fuel, U32.is_eq(n, 0), n)
824
825def rd.nats(+fuel: Nat, end: Bool, +n: U32) -> Dec(List<&2, Nat>):
826  match fuel end:
827    case 0n b:
828      Dec.fail(List<&2, Nat>)
829    case 1n+f True{}:
830      Dec.pure(List<&2, Nat>, Nil{})
831    case 1n+f False{}:
832      +k = (n - 1 : U32)
833      do Dec<List<&2, Nat>>:
834        x : Nat <- rd.u64()
835        rest : List<&2, Nat> <- rd.nats(f, U32.is_eq(k, 0), k)
836        return Con{x, rest}
837
838def rd.closed(+fuel: Nat) -> Dec(Retry.State):
839  do Dec<Retry.State>:
840    +n : U32 <- rd.u32()
841    fs : List<&2, Nat> <- rd.nats(fuel, U32.is_eq(n, 0), n)
842    return Retry.CircuitClosed{fs}
843
844def rd.brk.of(+fuel: Nat, +kind: U32) -> Dec(Retry.State):
845  Bool.pick(Dec(Retry.State), U32.is_eq(kind, 0), rd.closed(fuel),
846  Bool.pick(Dec(Retry.State), U32.is_eq(kind, 1), Dec.bind(Nat, Retry.State, rd.u64(), u => Dec.pure(Retry.State, Retry.CircuitOpen{u})),
847  Bool.pick(Dec(Retry.State), U32.is_eq(kind, 2), Dec.bind(Nat, Retry.State, rd.u64(), k => Dec.pure(Retry.State, Retry.CircuitHalf{k})), Dec.fail(Retry.State))))
848
849def rd.brk(+fuel: Nat) -> Dec(Retry.State):
850  Dec.bind(U32, Retry.State, rd.u32(), k => rd.brk.of(fuel, k))
851
852def rd.break(-A: Data, +fuel: Nat) -> Dec(Op<A>):
853  do Dec<Op<A>>:
854    k : String <- rd.key(fuel)
855    b : Retry.State <- rd.brk(fuel)
856    return Break{k, b}
857
858def rd.brks(+fuel: Nat, more: Bool, acc: Map<&2, Retry.State>) -> Dec(Map<&2, Retry.State>):
859  match fuel more:
860    case 0n b:
861      Dec.fail(Map<&2, Retry.State>)
862    case 1n+f False{}:
863      Dec.pure(Map<&2, Retry.State>, acc)
864    case 1n+f True{}:
865      do Dec<Map<&2, Retry.State>>:
866        k : String <- rd.key(f)
867        b : Retry.State <- rd.brk(f)
868        m : Bool <- rd.flag()
869        rd.brks(f, m, Map.set(&2, Retry.State, acc, k, b))
870
871def rd.state(~A: Data, ~pdec: Bytes.Bytes -> Maybe<&2, A>, +fuel: Nat) -> Dec(State<A>):
872  do Dec<State<A>>:
873    n : Nat <- rd.u64()
874    hf : Bool <- rd.flag()
875    h : H.Heap<Q.Ticket<A>> <- rd.heap(~A, ~pdec, fuel, hf)
876    rf : Bool <- rd.flag()
877    run : List<&2, Q.Ticket<A>> <- rd.run(~A, ~pdec, fuel, rf)
878    tf : Bool <- rd.flag()
879    ts : O.OMap<Nat, Try> <- rd.tries(fuel, tf)
880    +dk : U32 <- rd.u32()
881    ds : Graves(A) <- rd.graves(~A, ~pdec, fuel, U32.is_eq(dk, 0), U32.is_eq(dk, 1), U32.is_eq(dk, 2))
882    bf : Bool <- rd.flag()
883    bs : Map<&2, Retry.State> <- rd.brks(fuel, bf, Map.new(&2, Retry.State))
884    return State{Q.State{n, h, run}, ts, ds, bs}
885
886# The value read, when the reader ended at len, the record's end.
887def rd.done(-T: Data, +len: U32, m: Maybe<&1, Rd & T>) -> Maybe<&2, T>:
888  match m:
889    case None{}:
890      None{}
891    case Some{(Rd{b, +at}, +x)}:
892      Bool.pick(Maybe<&2, T>, U32.is_eq(at, len), Some{x}, None{})
893
894# The Abandon of ticket a at e whose why.code is c, or None for any other code.
895def decode.abandon(-A: Data, +a: Nat, +c: Nat, +e: Nat) -> Maybe<&2, Op<A>>:
896  Bool.pick(Maybe<&2, Op<A>>, Nat.is_eq(c, 0n), Some{Abandon{a, WhySpent{}, e}},
897  Bool.pick(Maybe<&2, Op<A>>, Nat.is_eq(c, 1n), Some{Abandon{a, WhyLate{}, e}},
898  Bool.pick(Maybe<&2, Op<A>>, Nat.is_eq(c, 2n), Some{Abandon{a, WhyUnsafe{}, e}},
899  Bool.pick(Maybe<&2, Op<A>>, Nat.is_eq(c, 3n), Some{Abandon{a, WhyFailed{}, e}}, None{}))))
900
901def decode.small(-A: Data, ok: Bool, +tag: U32, +a: Nat, +c: Nat) -> Maybe<&2, Op<A>>:
902  match ok:
903    case False{}:
904      None{}
905    case True{}:
906      Bool.pick(Maybe<&2, Op<A>>, U32.is_eq(tag, 2), Some{Select{a}},
907      Bool.pick(Maybe<&2, Op<A>>, U32.is_eq(tag, 3), Some{Complete{a}},
908      Bool.pick(Maybe<&2, Op<A>>, U32.is_eq(tag, 4), Some{Cancel{a}},
909      Bool.pick(Maybe<&2, Op<A>>, U32.is_eq(tag, 5), Some{Requeue{a, c}},
910      Bool.pick(Maybe<&2, Op<A>>, U32.is_eq(tag, 6), Some{Defer{a, c}},
911      Bool.pick(Maybe<&2, Op<A>>, U32.is_eq(tag, 9), Some{Revive{a, c}},
912      Bool.pick(Maybe<&2, Op<A>>, U32.is_eq(tag, 11), Some{Purge{a}},
913      Bool.pick(Maybe<&2, Op<A>>, U32.is_eq(tag, 12), Some{PurgeAll{}}, None{}))))))))
914
915def decode.long(-A: Data, ok: Bool, +a: Nat, +c: Nat, r: Bytes.Bytes & Nat) -> Maybe<&2, Op<A>>:
916  match ok:
917    case False{}:
918      None{}
919    case True{}:
920      (b, +e) = r
921      decode.abandon(A, a, c, e)
922
923def decode.payload(-A: Data, m: Maybe<&2, A>, +d: Nat) -> Maybe<&2, Op<A>>:
924  match m:
925    case None{}:
926      None{}
927    case Some{x}:
928      Some{Enqueue{d, x}}
929
930def decode.c.if(-A: Data, abandon: Bool, +tag: U32, +len: U32, +a: Nat, +c: Nat, b: Bytes.Bytes) -> Maybe<&2, Op<A>>:
931  match abandon:
932    case True{}:
933      decode.long(A, U32.is_eq(len, 28), a, c, get.u64(b, 20))
934    case False{}:
935      decode.small(A, U32.is_eq(len, 20), tag, a, c)
936
937# An Abandon is 28 octets; every other op without a payload is 20.
938def decode.c(~A: Data, ~pdec: Bytes.Bytes -> Maybe<&2, A>, +tag: U32, +len: U32, +a: Nat, r: Bytes.Bytes & Nat) -> Maybe<&2, Op<A>>:
939  (b, +c) = r
940  decode.c.if(A, U32.is_eq(tag, 8), tag, len, a, c, b)
941
942def decode.kind(~A: Data, ~pdec: Bytes.Bytes -> Maybe<&2, A>, enq: Bool, +tag: U32, +len: U32, +a: Nat, b: Bytes.Bytes) -> Maybe<&2, Op<A>>:
943  match enq:
944    case True{}:
945      decode.payload(A, pdec(Bytes.snd(Bytes.slice(b, 12, (len - 12 : U32)))), a)
946    case False{}:
947      decode.c(~A, ~pdec, tag, len, a, get.u64(b, 12))
948
949def decode.a(~A: Data, ~pdec: Bytes.Bytes -> Maybe<&2, A>, +tag: U32, +len: U32, r: Bytes.Bytes & Nat) -> Maybe<&2, Op<A>>:
950  (b, +a) = r
951  decode.kind(~A, ~pdec, U32.is_eq(tag, 1), tag, len, a, b)
952
953def decode.tag.if(~A: Data, ~pdec: Bytes.Bytes -> Maybe<&2, A>, brk: Bool, +tag: U32, +len: U32, b: Bytes.Bytes) -> Maybe<&2, Op<A>>:
954  match brk:
955    case True{}:
956      rd.done(Op<A>, len, rd.break(A, U32.to_nat((len / 4 + 1 : U32)))(Rd{b, 4}))
957    case False{}:
958      decode.a(~A, ~pdec, tag, len, get.u64(b, 4))
959
960def decode.tag(~A: Data, ~pdec: Bytes.Bytes -> Maybe<&2, A>, +len: U32, r: Bytes.Bytes & U32) -> Maybe<&2, Op<A>>:
961  (b, +tag) = r
962  decode.tag.if(~A, ~pdec, U32.is_eq(tag, 10), tag, len, b)
963
964def decode.len(~A: Data, ~pdec: Bytes.Bytes -> Maybe<&2, A>, ok: Bool, +len: U32, b: Bytes.Bytes) -> Maybe<&2, Op<A>>:
965  match ok:
966    case False{}:
967      None{}
968    case True{}:
969      decode.tag(~A, ~pdec, len, get.u32(Bytes.get.u32le(b, 0)))
970
971# The op of a record, or None when it is not one that encode writes.
972def decode(~A: Data, ~pdec: Bytes.Bytes -> Maybe<&2, A>, b: Bytes.Bytes) -> Maybe<&2, Op<A>>:
973  Bytes.Bytes{+len, buf} = b
974  decode.len(~A, ~pdec, U32.is_ge(len, 12), len, Bytes.Bytes{len, buf})
975
976# The state of a Snap record whose tag is already checked. The decoder must end at the record's end.
977def decode.snap(~A: Data, ~pdec: Bytes.Bytes -> Maybe<&2, A>, b: Bytes.Bytes) -> Maybe<&2, State<A>>:
978  Bytes.Bytes{+len, buf} = b
979  rd.done(State<A>, len, rd.state(~A, ~pdec, U32.to_nat((len / 4 + 1 : U32)))(Rd{Bytes.Bytes{len, buf}, 4}))
980
981def decode.snapped(-A: Data, m: Maybe<&2, State<A>>) -> Maybe<&2, Rec<A>>:
982  match m:
983    case None{}:
984      None{}
985    case Some{s}:
986      Some{Snap{s}}
987
988def decode.did(-A: Data, m: Maybe<&2, Op<A>>) -> Maybe<&2, Rec<A>>:
989  match m:
990    case None{}:
991      None{}
992    case Some{op}:
993      Some{Do{op}}
994
995def decode.rec.if(~A: Data, ~pdec: Bytes.Bytes -> Maybe<&2, A>, snap: Bool, b: Bytes.Bytes) -> Maybe<&2, Rec<A>>:
996  match snap:
997    case True{}:
998      decode.snapped(A, decode.snap(~A, ~pdec, b))
999    case False{}:
1000      decode.did(A, decode(~A, ~pdec, b))
1001
1002def decode.rec.tag(~A: Data, ~pdec: Bytes.Bytes -> Maybe<&2, A>, r: Bytes.Bytes & U32) -> Maybe<&2, Rec<A>>:
1003  (b, +tag) = r
1004  decode.rec.if(~A, ~pdec, U32.is_eq(tag, 7), b)
1005
1006# The Rec of a journal record, or None when it is neither a Snap nor an op that encode.rec writes.
1007def decode.rec(~A: Data, ~pdec: Bytes.Bytes -> Maybe<&2, A>, b: Bytes.Bytes) -> Maybe<&2, Rec<A>>:
1008  decode.rec.tag(~A, ~pdec, get.u32(Bytes.get.u32le(b, 0)))
1009
1010# ---- the runner
1011
1012# policy: retry's policy for each ticket. circuit: the breaker of each target. idle: ms that drain waits when no attempt started.
1013# compact: tick compacts the journal once records past this many octets were appended since open or the last compaction; 0 never.
1014type Config is Data:
1015  Config{policy: Retry.Policy, circuit: Retry.Circuit, idle: U32, compact: U32}
1016
1017# The journal, its path, its file cap, and its length at open or at the last compaction.
1018type Log is Type:
1019  Log{journal: J.Journal, path: String, limit: U32, base: U32}
1020
1021# An attempt that runs: its unit of the pool, the budget that admit left, and its target.
1022type Flight<-A: Data> is Type:
1023  Flight{ticket: Q.Ticket<A>, grant: Res.Grant, budget: Retry.Budget, target: String}
1024
1025def Out(-X: Type) -> Type:
1026  Result<&1, &1, U32 & String, X>
1027
1028# A message to the fiber that owns the runner. Ended: an attempt finished. Add and Drop: another fiber asks for an enqueue or a cancel.
1029type Msg<-A: Data> is Type:
1030  Ended{id: Nat, outcome: Retry.Outcome}
1031  Add{deadline: Nat, payload: A, reply: Chan(Out(Nat))}
1032  Drop{id: Nat, reply: Chan(Out(Unit))}
1033
1034# An open runner. Replaying its journal gives its state; its pool bounds the attempts that run at once.
1035# Each attempt sends its outcome, and each other fiber its ask, on inbox. flights are the attempts that run.
1036type Runner<-A: Data> is Type:
1037  Runner{log: Log, state: State<A>, pool: Res.Pool, config: Config, inbox: Chan(Msg<A>), flights: List<&1, Flight<A>>}
1038
1039# The runner, the claim fuel left, and the first error.
1040def Claimed(-A: Data) -> Type:
1041  Runner<A> & Nat & Out(Unit)
1042
1043def Ran(-A: Data) -> Type:
1044  Runner<A> & Out(Unit)
1045
1046# Wall-clock ms since the Unix epoch. Deadlines must keep their meaning across a restart.
1047def clock() -> IO(Nat):
1048  do IO<Nat>:
1049    t : Time.Instant <- Time.now()
1050    return Time.Duration.to_ms_nat(Time.Instant.since_epoch(t))
1051
1052def first(a: Out(Unit), b: Out(Unit)) -> Out(Unit):
1053  match a:
1054    case Fail{e}:
1055      Fail{e}
1056    case Done{u}:
1057      b
1058
1059def log.appended(+path: String, +limit: U32, +base: U32, x: J.Journal & Out(Unit)) -> Log & Out(Unit):
1060  (j, o) = x
1061  (Log{j, path, limit, base}, o)
1062
1063def log.append(l: Log, p: Bytes.Bytes) -> IO(Log & Out(Unit)):
1064  Log{j, +path, +limit, +base} = l
1065  do IO<Log & Out(Unit)>:
1066    x : J.Journal & Out(Unit) <- J.append(j, p)
1067    return log.appended(path, limit, base, x)
1068
1069def log.close(l: Log) -> IO(Unit):
1070  Log{j, path, limit, base} = l
1071  J.close(j)
1072
1073# The journal reads with limit as its record cap, so that a snapshot fits; appends keep max.
1074def log.of(j: J.Journal, +max: U32, path: String, +limit: U32) -> Log:
1075  J.Journal{file, cap, +end, ok} = j
1076  Log{J.Journal{file, max, end, ok}, path, limit, end}
1077
1078def commit.done(~A: Data, x: Log & Out(Unit), s: State<A>, +op: Op<A>, p: Res.Pool, c: Config, ib: Chan(Msg<A>), fs: List<&1, Flight<A>>) -> Ran(A):
1079  match x:
1080    case (j, Done{u}):
1081      (Runner{j, step(~A, s, op), p, c, ib, fs}, Done{u})
1082    case (j, Fail{e}):
1083      (Runner{j, s, p, c, ib, fs}, Fail{e})
1084
1085# Appends op, and applies it once the append is durable. After a failed append the state is as it was,
1086# and the journal refuses every later append until the runner is reopened.
1087def commit(~A: Data, ~penc: A -> Bytes.Bytes, r: Runner<A>, +op: Op<A>) -> IO(Ran(A)):
1088  Runner{j, s, p, c, ib, fs} = r
1089  do IO<Ran(A)>:
1090    x : Log & Out(Unit) <- log.append(j, encode(~A, ~penc, op))
1091    return commit.done(~A, x, s, op, p, c, ib, fs)
1092
1093def enqueue.done(-A: Data, +id: Nat, y: Ran(A)) -> Runner<A> & Out(Nat):
1094  match y:
1095    case (r, Done{u}):
1096      (r, Done{id})
1097    case (r, Fail{e}):
1098      (r, Fail{e})
1099
1100# Adds a job that is due at deadline (wall-clock ms) and answers its ticket id once the record is durable.
1101def enqueue(~A: Data, ~penc: A -> Bytes.Bytes, r: Runner<A>, +deadline: Nat, x: A) -> IO(Runner<A> & Out(Nat)):
1102  Runner{j, +s, p, c, ib, fs} = r
1103  do IO<Runner<A> & Out(Nat)>:
1104    y : Ran(A) <- commit(~A, ~penc, Runner{j, s, p, c, ib, fs}, Enqueue{deadline, x})
1105    return enqueue.done(A, Q.next_id(A, queue(A, s)), y)
1106
1107# Cancels ticket id. A running attempt finishes, but its ticket is never selected again. A dead ticket is dropped.
1108def cancel(~A: Data, ~penc: A -> Bytes.Bytes, r: Runner<A>, +id: Nat) -> IO(Ran(A)):
1109  commit(~A, ~penc, r, Cancel{id})
1110
1111# Makes dead ticket id pending again at deadline (wall-clock ms), with its payload and a new retry budget.
1112# A ticket that is not dead does not change.
1113def revive(~A: Data, ~penc: A -> Bytes.Bytes, r: Runner<A>, +id: Nat, +deadline: Nat) -> IO(Ran(A)):
1114  commit(~A, ~penc, r, Revive{id, deadline})
1115
1116# Drops, as one record, the dead tickets that retry gave up on before `before` (wall-clock ms).
1117def purge(~A: Data, ~penc: A -> Bytes.Bytes, r: Runner<A>, +before: Nat) -> IO(Ran(A)):
1118  commit(~A, ~penc, r, Purge{before})
1119
1120# Drops every dead ticket, as one record.
1121def purge.all(~A: Data, ~penc: A -> Bytes.Bytes, r: Runner<A>) -> IO(Ran(A)):
1122  commit(~A, ~penc, r, PurgeAll{})
1123
1124# ---- asks from other fibers
1125
1126# The runner back, and its inbox. Another fiber passes the inbox to ask.enqueue and ask.cancel.
1127def inbox(-A: Data, r: Runner<A>) -> Runner<A> & Chan(Msg<A>):
1128  Runner{j, s, p, c, +ib, fs} = r
1129  (Runner{j, s, p, c, ib, fs}, ib)
1130
1131def ask.answer(-X: Type, m: Maybe<&1, Out(X)>) -> Out(X):
1132  match m:
1133    case None{}:
1134      Fail{(32, "runner: the runner closed before it answered")}
1135    case Some{o}:
1136      o
1137
1138def ask.sent(-A: Data, -X: Type, x: Result<&1, &1, Msg<A>, Unit>, +rep: Chan(Out(X))) -> IO(Out(X)):
1139  match x:
1140    case Fail{m}:
1141      IO.pure(Out(X), Fail{(32, "runner: the inbox is closed")})
1142    case Done{u}:
1143      do IO<Out(X)>:
1144        a : Maybe<&1, Out(X)> <- Chan.recv(Out(X), rep)
1145        return ask.answer(X, a)
1146
1147# Sends m, built with a new reply channel, on the inbox and waits for the reply.
1148def ask(-A: Data, -X: Type, +ib: Chan(Msg<A>), m: Chan(Out(X)) -> Msg<A>) -> IO(Out(X)):
1149  do IO<Out(X)>:
1150    +rep : Chan(Out(X)) <- Chan.new(Out(X), 1)
1151    x : Result<&1, &1, Msg<A>, Unit> <- Chan.send(Msg<A>, ib, m(rep))
1152    ask.sent(A, X, x, rep)
1153
1154# From another fiber: adds a job due at deadline, and answers its ticket id once the record is durable.
1155# The answer comes when the fiber that owns the runner reads the inbox, in tick or drain.
1156def ask.enqueue(-A: Data, +ib: Chan(Msg<A>), +deadline: Nat, x: A) -> IO(Out(Nat)):
1157  ask(A, Nat, ib, rep => Add{deadline, x, rep})
1158
1159# From another fiber: cancels ticket id, as cancel does. The answer comes when the owner reads the inbox.
1160def ask.cancel(-A: Data, +ib: Chan(Msg<A>), +id: Nat) -> IO(Out(Unit)):
1161  ask(A, Unit, ib, rep => Drop{id, rep})
1162
1163# ---- one round
1164
1165# A grant of this runner's pool always fits it, so Kept does not happen.
1166def release.got(-A: Data, x: Res.Release, j: Log, s: State<A>, c: Config, ib: Chan(Msg<A>), fs: List<&1, Flight<A>>) -> Runner<A>:
1167  match x:
1168    case Res.Released{p}:
1169      Runner{j, s, p, c, ib, fs}
1170    case Res.Kept{p, g}:
1171      Runner{j, s, p, c, ib, fs}
1172
1173def release(-A: Data, r: Runner<A>, g: Res.Grant) -> Runner<A>:
1174  Runner{j, s, p, c, ib, fs} = r
1175  release.got(A, Res.release(p, g), j, s, c, ib, fs)
1176
1177def claim.held(-A: Data, y: Ran(A), g: Res.Grant, next: Runner<A> -> IO(Claimed(A))) -> IO(Claimed(A)):
1178  match y:
1179    case (r, Fail{e}):
1180      IO.pure(Claimed(A), (release(A, r, g), 0n, Fail{e}))
1181    case (r, Done{u}):
1182      next(release(A, r, g))
1183
1184def claim.tag(-A: Data, +id: Nat, o: Retry.Outcome) -> IO(Msg<A>):
1185  IO.pure(Msg<A>, Ended{id, o})
1186
1187def trip.if(~A: Data, ~penc: A -> Bytes.Bytes, same: Bool, r: Runner<A>, +key: String, st: Retry.State) -> IO(Ran(A)):
1188  match same:
1189    case True{}:
1190      IO.pure(Ran(A), (r, Done{Unit{}}))
1191    case False{}:
1192      commit(~A, ~penc, r, Break{key, st})
1193
1194# Appends a Break when the target's breaker left old, so that a reopen restores it.
1195def trip(~A: Data, ~penc: A -> Bytes.Bytes, r: Runner<A>, +key: String, +old: Retry.State, br: Retry.Breaker) -> IO(Ran(A)):
1196  +st = brk.state(br, old)
1197  trip.if(~A, ~penc, brk.same(old, st), r, key, st)
1198
1199def claim.go(~A: Data, ~penc: A -> Bytes.Bytes, ~work: A -> IO(Retry.Outcome), +now: Nat, gate: Retry.Gate, +br: Retry.Breaker, b: Retry.Budget, +key: String,
1200    r: Runner<A>, +id: Nat, d: Nat, +x: A, g: Res.Grant, next: Runner<A> -> IO(Claimed(A))) -> IO(Claimed(A)):
1201  match gate:
1202    case Retry.GateGo{}:
1203      Runner{j, s, p, c, +ib, fs} = r
1204      do IO<Claimed(A)>:
1205        u : Chan(Msg<A>) <- IO.fork.go(Msg<A>, IO.bind(Retry.Outcome, Msg<A>, work(x), o => claim.tag(A, id, o)), ib)
1206        next(Runner{j, s, p, c, ib, Con{Flight{Q.Ticket{id, d, x}, g, b, key}, fs}})
1207    case Retry.GateNo{why}:
1208      do IO<Claimed(A)>:
1209        y : Ran(A) <- commit(~A, ~penc, r, held(A, why, br, id, now))
1210        claim.held(A, y, g, next)
1211
1212def claim.tripped(~A: Data, ~penc: A -> Bytes.Bytes, ~work: A -> IO(Retry.Outcome), +now: Nat, y: Ran(A), gate: Retry.Gate, +br: Retry.Breaker, b: Retry.Budget, +key: String,
1213    +id: Nat, d: Nat, +x: A, g: Res.Grant, next: Runner<A> -> IO(Claimed(A))) -> IO(Claimed(A)):
1214  match y:
1215    case (r, Fail{e}):
1216      IO.pure(Claimed(A), (release(A, r, g), 0n, Fail{e}))
1217    case (r, Done{u}):
1218      claim.go(~A, ~penc, ~work, now, gate, br, b, key, r, id, d, x, g, next)
1219
1220# A change to the breaker is durable before the attempt starts.
1221def claim.gate(~A: Data, ~penc: A -> Bytes.Bytes, ~work: A -> IO(Retry.Outcome), +now: Nat, a: Retry.Breaker & Retry.Budget & Retry.Gate, +key: String, +old: Retry.State,
1222    r: Runner<A>, +id: Nat, d: Nat, +x: A, g: Res.Grant, next: Runner<A> -> IO(Claimed(A))) -> IO(Claimed(A)):
1223  (+br, b, gate) = a
1224  do IO<Claimed(A)>:
1225    y : Ran(A) <- trip(~A, ~penc, r, key, old, br)
1226    claim.tripped(~A, ~penc, ~work, now, y, gate, br, b, key, id, d, x, g, next)
1227
1228# The selected ticket asks its target's breaker and its own budget for an attempt.
1229def claim.admit(~A: Data, ~penc: A -> Bytes.Bytes, ~target: A -> String, ~work: A -> IO(Retry.Outcome), +now: Nat, r: Runner<A>, t: Q.Ticket<A>, g: Res.Grant,
1230    next: Runner<A> -> IO(Claimed(A))) -> IO(Claimed(A)):
1231  Runner{j, +s, p, +c, ib, fs} = r
1232  Config{pol, circ, idle, every} = c
1233  Q.Ticket{+id, d, +x} = t
1234  +key = target(x)
1235  +old = brk.get(A, s, key)
1236  claim.gate(~A, ~penc, ~work, now, Retry.admit(Retry.BreakerOn{circ, old}, budget(pol, tries.get(tries(A, s), id)), now), key, old,
1237    Runner{j, s, p, c, ib, fs}, id, d, x, g, next)
1238
1239def claim.selected(~A: Data, ~penc: A -> Bytes.Bytes, ~target: A -> String, ~work: A -> IO(Retry.Outcome), +now: Nat, y: Ran(A),
1240    t: Q.Ticket<A>, g: Res.Grant, next: Runner<A> -> IO(Claimed(A))) -> IO(Claimed(A)):
1241  match y:
1242    case (r, Fail{e}):
1243      IO.pure(Claimed(A), (release(A, r, g), 0n, Fail{e}))
1244    case (r, Done{u}):
1245      claim.admit(~A, ~penc, ~target, ~work, now, r, t, g, next)
1246
1247def claim.pick(~A: Data, ~penc: A -> Bytes.Bytes, ~target: A -> String, ~work: A -> IO(Retry.Outcome), +left: Nat, +now: Nat, k: Pick<A>, j: Log, s: State<A>,
1248    c: Config, ib: Chan(Msg<A>), fs: List<&1, Flight<A>>, next: Runner<A> -> IO(Claimed(A))) -> IO(Claimed(A)):
1249  match k:
1250    case Idle{p}:
1251      IO.pure(Claimed(A), (Runner{j, s, p, c, ib, fs}, Nat.add(1n, left), Done{Unit{}}))
1252    case Picked{p, t, g}:
1253      do IO<Claimed(A)>:
1254        y : Ran(A) <- commit(~A, ~penc, Runner{j, s, p, c, ib, fs}, Select{now})
1255        claim.selected(~A, ~penc, ~target, ~work, now, y, t, g, next)
1256
1257# Starts an attempt for each due ticket while the pool has a free unit; each attempt sends its outcome on the inbox.
1258# fuel bounds the tickets taken, and the fuel left comes back.
1259def claim(~A: Data, ~penc: A -> Bytes.Bytes, ~target: A -> String, ~work: A -> IO(Retry.Outcome), fuel: Nat, +now: Nat, r: Runner<A>) -> IO(Claimed(A)):
1260  match fuel:
1261    case 0n:
1262      IO.pure(Claimed(A), (r, 0n, Done{Unit{}}))
1263    case 1n+n:
1264      Runner{j, +s, p, c, ib, fs} = r
1265      +m = n
1266      claim.pick(~A, ~penc, ~target, ~work, m, now, pick(~A, p, s, now), j, s, c, ib, fs, (r2 => claim(~A, ~penc, ~target, ~work, m, now, r2)))
1267
1268def settle.done(-A: Data, y: Ran(A), g: Res.Grant, err: Out(Unit), next: Runner<A> -> Out(Unit) -> IO(Runner<A> & Out(Bool))) -> IO(Runner<A> & Out(Bool)):
1269  (r, res) = y
1270  next(release(A, r, g), first(err, res))
1271
1272def settle.br(~A: Data, ~penc: A -> Bytes.Bytes, +op: Op<A>, y: Ran(A), g: Res.Grant, err: Out(Unit),
1273    next: Runner<A> -> Out(Unit) -> IO(Runner<A> & Out(Bool))) -> IO(Runner<A> & Out(Bool)):
1274  match y:
1275    case (r, Fail{e}):
1276      next(release(A, r, g), first(err, Fail{e}))
1277    case (r, Done{u}):
1278      do IO<Runner<A> & Out(Bool)>:
1279        z : Ran(A) <- commit(~A, ~penc, r, op)
1280        settle.done(A, z, g, err, next)
1281
1282# Tells the target's breaker, appends the outcome's op, and returns the attempt's unit to the pool.
1283# The op of a cancelled ticket changes no state: the queue no longer holds it.
1284def settle.op(~A: Data, ~penc: A -> Bytes.Bytes, +o: Retry.Outcome, b: Retry.Budget, +id: Nat, +key: String, +now: Nat, +rnd: Nat, r: Runner<A>, g: Res.Grant,
1285    err: Out(Unit), next: Runner<A> -> Out(Unit) -> IO(Runner<A> & Out(Bool))) -> IO(Runner<A> & Out(Bool)):
1286  Runner{j, +s, p, +c, ib, fs} = r
1287  Config{pol, circ, idle, every} = c
1288  +old = brk.get(A, s, key)
1289  do IO<Runner<A> & Out(Bool)>:
1290    y : Ran(A) <- trip(~A, ~penc, Runner{j, s, p, c, ib, fs}, key, old, Retry.Breaker.done(Retry.BreakerOn{circ, old}, now, Retry.failed(o)))
1291    settle.br(~A, ~penc, after(A, o, pol, b, id, fails(tries.get(tries(A, s), id)), now, rnd), y, g, err, next)
1292
1293def random(r: Out(U32)) -> Nat:
1294  match r:
1295    case Done{x}:
1296      U32.to_nat(x)
1297    case Fail{e}:
1298      0n
1299
1300def take.keep(-A: Data, m: Maybe<&1, Flight<A>>, xs: List<&1, Flight<A>>) -> List<&1, Flight<A>>:
1301  match m:
1302    case None{}:
1303      xs
1304    case Some{f}:
1305      Con{f, xs}
1306
1307def take.at(-A: Data, eq: Bool, f: Flight<A>, r: Maybe<&1, Flight<A>> & List<&1, Flight<A>>) -> Maybe<&1, Flight<A>> & List<&1, Flight<A>>:
1308  match eq:
1309    case True{}:
1310      (m, xs) = r
1311      (Some{f}, take.keep(A, m, xs))
1312    case False{}:
1313      (m, xs) = r
1314      (m, Con{f, xs})
1315
1316# The flight of ticket id, and the other flights.
1317def take(-A: Data, fs: List<&1, Flight<A>>, +id: Nat) -> Maybe<&1, Flight<A>> & List<&1, Flight<A>>:
1318  match fs:
1319    case Nil{}:
1320      (None{}, Nil{})
1321    case Con{Flight{Q.Ticket{+i, d, x}, g, b, k}, rest}:
1322      take.at(A, Nat.is_eq(i, id), Flight{Q.Ticket{i, d, x}, g, b, k}, take(A, rest, id))
1323
1324def settle.flight(~A: Data, ~penc: A -> Bytes.Bytes, mf: Maybe<&1, Flight<A>>, +o: Retry.Outcome, +now: Nat, +rnd: Nat, r: Runner<A>, err: Out(Unit),
1325    next: Runner<A> -> Out(Unit) -> IO(Runner<A> & Out(Bool))) -> IO(Runner<A> & Out(Bool)):
1326  match mf:
1327    case None{}:
1328      next(r, err)
1329    case Some{Flight{Q.Ticket{id, d, x}, g, b, key}}:
1330      settle.op(~A, ~penc, o, b, id, key, now, rnd, r, g, err, next)
1331
1332def settle.take(~A: Data, ~penc: A -> Bytes.Bytes, t: Maybe<&1, Flight<A>> & List<&1, Flight<A>>, +o: Retry.Outcome, +now: Nat, +rnd: Nat,
1333    j: Log, s: State<A>, p: Res.Pool, c: Config, ib: Chan(Msg<A>), err: Out(Unit),
1334    next: Runner<A> -> Out(Unit) -> IO(Runner<A> & Out(Bool))) -> IO(Runner<A> & Out(Bool)):
1335  (mf, fs) = t
1336  settle.flight(~A, ~penc, mf, o, now, rnd, Runner{j, s, p, c, ib, fs}, err, next)
1337
1338# Settles the flight of ticket id with outcome o.
1339def settle(~A: Data, ~penc: A -> Bytes.Bytes, +id: Nat, +o: Retry.Outcome, +now: Nat, +rnd: Nat, r: Runner<A>, err: Out(Unit),
1340    next: Runner<A> -> Out(Unit) -> IO(Runner<A> & Out(Bool))) -> IO(Runner<A> & Out(Bool)):
1341  Runner{j, s, p, c, ib, fs} = r
1342  settle.take(~A, ~penc, take(A, fs, id), o, now, rnd, j, s, p, c, ib, err, next)
1343
1344# Sends the failure to the asker, and keeps it as the round's error.
1345def asked.failed(-A: Data, -X: Type, +rep: Chan(Out(X)), r: Runner<A>, +c: U32, +m: String, err: Out(Unit),
1346    next: Runner<A> -> Nat -> Out(Unit) -> IO(Runner<A> & Out(Bool))) -> IO(Runner<A> & Out(Bool)):
1347  do IO<Runner<A> & Out(Bool)>:
1348    x : Result<&1, &1, Out(X), Unit> <- Chan.send(Out(X), rep, Fail{(c, m)})
1349    next(r, 0n, first(err, Fail{(c, m)}))
1350
1351def asked.fail(-A: Data, -X: Type, +rep: Chan(Out(X)), r: Runner<A>, e: U32 & String, err: Out(Unit),
1352    next: Runner<A> -> Nat -> Out(Unit) -> IO(Runner<A> & Out(Bool))) -> IO(Runner<A> & Out(Bool)):
1353  (c, m) = e
1354  asked.failed(A, X, rep, r, c, m, err, next)
1355
1356def added(-A: Data, +rep: Chan(Out(Nat)), y: Runner<A> & Out(Nat), err: Out(Unit),
1357    next: Runner<A> -> Nat -> Out(Unit) -> IO(Runner<A> & Out(Bool))) -> IO(Runner<A> & Out(Bool)):
1358  match y:
1359    case (r, Done{+i}):
1360      do IO<Runner<A> & Out(Bool)>:
1361        x : Result<&1, &1, Out(Nat), Unit> <- Chan.send(Out(Nat), rep, Done{i})
1362        next(r, 1n, err)
1363    case (r, Fail{e}):
1364      asked.fail(A, Nat, rep, r, e, err, next)
1365
1366def dropped(-A: Data, +rep: Chan(Out(Unit)), y: Ran(A), err: Out(Unit),
1367    next: Runner<A> -> Nat -> Out(Unit) -> IO(Runner<A> & Out(Bool))) -> IO(Runner<A> & Out(Bool)):
1368  match y:
1369    case (r, Done{u}):
1370      do IO<Runner<A> & Out(Bool)>:
1371        x : Result<&1, &1, Out(Unit), Unit> <- Chan.send(Out(Unit), rep, Done{Unit{}})
1372        next(r, 0n, err)
1373    case (r, Fail{e}):
1374      asked.fail(A, Unit, rep, r, e, err, next)
1375
1376# Settles an ended attempt, or appends an ask's op and answers it. next gets the claim fuel the message adds: 1 for an enqueue.
1377def handle(~A: Data, ~penc: A -> Bytes.Bytes, m: Msg<A>, +now: Nat, +rnd: Nat, r: Runner<A>, err: Out(Unit),
1378    next: Runner<A> -> Nat -> Out(Unit) -> IO(Runner<A> & Out(Bool))) -> IO(Runner<A> & Out(Bool)):
1379  match m:
1380    case Ended{+id, +o}:
1381      settle(~A, ~penc, id, o, now, rnd, r, err, (r2 => e2 => next(r2, 0n, e2)))
1382    case Add{+d, x, +rep}:
1383      IO.bind(Runner<A> & Out(Nat), Runner<A> & Out(Bool), enqueue(~A, ~penc, r, d, x), y => added(A, rep, y, err, next))
1384    case Drop{+i, +rep}:
1385      IO.bind(Ran(A), Runner<A> & Out(Bool), cancel(~A, ~penc, r, i), y => dropped(A, rep, y, err, next))
1386
1387def merged(-A: Data, e: Out(Unit), k: Claimed(A)) -> Claimed(A):
1388  (r, n, err) = k
1389  (r, n, first(e, err))
1390
1391def empty.heap(-A: Data, h: H.Heap<Q.Ticket<A>>) -> Bool:
1392  match h:
1393    case H.HLeaf{}:
1394      True{}
1395    case H.HNode{n, t, l, r}:
1396      False{}
1397
1398def empty.list(-A: Data, xs: List<&2, Q.Ticket<A>>) -> Bool:
1399  match xs:
1400    case Nil{}:
1401      True{}
1402    case Con{t, rest}:
1403      False{}
1404
1405# No ticket is pending or running. Dead tickets wait for a Revive, so they do not count.
1406def idle(-A: Data, s: State<A>) -> Bool:
1407  State{Q.State{n, h, run}, ts, ds, bs} = s
1408  Bool.and(empty.heap(A, h), empty.list(A, run))
1409
1410def pending(-A: Data, s: State<A>) -> Nat:
1411  State{Q.State{n, h, run}, ts, ds, bs} = s
1412  H.Heap.size(Q.Ticket<A>, h)
1413
1414# The flights back, and whether none runs.
1415def flights.none(-A: Data, fs: List<&1, Flight<A>>) -> List<&1, Flight<A>> & Bool:
1416  match fs:
1417    case Nil{}:
1418      (Nil{}, True{})
1419    case Con{f, rest}:
1420      (Con{f, rest}, False{})
1421
1422# ---- compaction
1423
1424# Kept: compaction failed before the rename, and the old journal stands.
1425# Lost: the rename happened, but the new journal did not open. Moved: the journal at path is the snapshot.
1426type Swap is Type:
1427  Kept{err: U32 & String}
1428  Lost{err: U32 & String}
1429  Moved{journal: J.Journal}
1430
1431def swap.reopened(x: Out(J.Journal & Unit)) -> Swap:
1432  match x:
1433    case Fail{e}:
1434      Lost{e}
1435    case Done{(j, u)}:
1436      Moved{j}
1437
1438# The reopen fsyncs the directory, so the rename is durable before the next append.
1439def swap.renamed(+path: String, +limit: U32, x: Out(Unit)) -> IO(Swap):
1440  match x:
1441    case Fail{e}:
1442      IO.pure(Swap, Kept{e})
1443    case Done{u}:
1444      do IO<Swap>:
1445        y : Out(J.Journal & Unit) <- J.open(~Unit, ~(a => b => a), path, limit, limit, Unit{})
1446        return swap.reopened(y)
1447
1448def swap.written(+path: String, +tmp: String, +limit: U32, x: J.Journal & Out(Unit)) -> IO(Swap):
1449  match x:
1450    case (t, Fail{e}):
1451      do IO<Swap>:
1452        J.close(t)
1453        return Kept{e}
1454    case (t, Done{u}):
1455      do IO<Swap>:
1456        J.close(t)
1457        y : Out(Unit) <- Files.rename(tmp, path)
1458        swap.renamed(path, limit, y)
1459
1460def swap.opened(+path: String, +tmp: String, +limit: U32, x: Out(J.Journal & Unit), snap: Bytes.Bytes) -> IO(Swap):
1461  match x:
1462    case Fail{e}:
1463      IO.pure(Swap, Kept{e})
1464    case Done{(t, u)}:
1465      do IO<Swap>:
1466        y : J.Journal & Out(Unit) <- J.append(t, snap)
1467        swap.written(path, tmp, limit, y)
1468
1469# Writes snap as the only record of path.compact, fsyncs it, and renames it over path.
1470def swap(+path: String, +limit: U32, snap: Bytes.Bytes) -> IO(Swap):
1471  +tmp = path ++ ".compact"
1472  do IO<Swap>:
1473    gone : Out(Unit) <- Files.remove(tmp)
1474    x : Out(J.Journal & Unit) <- J.open(~Unit, ~(a => b => a), tmp, limit, limit, Unit{})
1475    swap.opened(path, tmp, limit, x, snap)
1476
1477def log.stop(j: J.Journal) -> J.Journal:
1478  J.Journal{file, max, end, ok} = j
1479  J.Journal{file, max, end, False{}}
1480
1481def compact.moved(x: Swap, j: J.Journal, +max: U32, path: String, +limit: U32, +base: U32) -> IO(Log & Out(Unit)):
1482  match x:
1483    case Kept{e}:
1484      IO.pure(Log & Out(Unit), (Log{j, path, limit, base}, Fail{e}))
1485    case Lost{e}:
1486      IO.pure(Log & Out(Unit), (Log{log.stop(j), path, limit, base}, Fail{e}))
1487    case Moved{k}:
1488      do IO<Log & Out(Unit)>:
1489        J.close(j)
1490        return (log.of(k, max, path, limit), Done{Unit{}})
1491
1492def compact.if(~A: Data, ~penc: A -> Bytes.Bytes, ok: Bool, j: J.Journal, +max: U32, +path: String, +limit: U32, +base: U32, s: State<A>) -> IO(Log & Out(Unit)):
1493  match ok:
1494    case False{}:
1495      IO.pure(Log & Out(Unit), (Log{j, path, limit, base}, Fail{(5, "runner: an append failed; reopen the runner")}))
1496    case True{}:
1497      do IO<Log & Out(Unit)>:
1498        x : Swap <- swap(path, limit, encode.snap(~A, ~penc, s))
1499        compact.moved(x, j, max, path, limit, base)
1500
1501def compact.done(-A: Data, x: Log & Out(Unit), s: State<A>, p: Res.Pool, c: Config, ib: Chan(Msg<A>), fs: List<&1, Flight<A>>) -> Ran(A):
1502  (l, o) = x
1503  (Runner{l, s, p, c, ib, fs}, o)
1504
1505# Writes the state as one Snap record into a new journal, fsyncs it, and renames it over the old one.
1506# A crash leaves one of the two journals, and both replay to this state. After a failure the old
1507# journal stands; when the failure came after the rename, appends stop until the runner is reopened.
1508def compact(~A: Data, ~penc: A -> Bytes.Bytes, r: Runner<A>) -> IO(Ran(A)):
1509  Runner{Log{j, path, limit, base}, +s, p, c, ib, fs} = r
1510  J.Journal{file, +max, end, +ok} = j
1511  do IO<Ran(A)>:
1512    x : Log & Out(Unit) <- compact.if(~A, ~penc, ok, J.Journal{file, max, end, ok}, max, path, limit, base, s)
1513    return compact.done(A, x, s, p, c, ib, fs)
1514
1515def tick.ran(e: Out(Unit), b: Bool) -> Out(Bool):
1516  match e:
1517    case Fail{x}:
1518      Fail{x}
1519    case Done{u}:
1520      Done{b}
1521
1522def tick.compacted(-A: Data, +b: Bool, y: Ran(A)) -> Runner<A> & Out(Bool):
1523  (r, e) = y
1524  (r, tick.ran(e, b))
1525
1526def tick.due(~A: Data, ~penc: A -> Bytes.Bytes, due: Bool, +b: Bool, r: Runner<A>) -> IO(Runner<A> & Out(Bool)):
1527  match due:
1528    case False{}:
1529      IO.pure(Runner<A> & Out(Bool), (r, Done{b}))
1530    case True{}:
1531      do IO<Runner<A> & Out(Bool)>:
1532        y : Ran(A) <- compact(~A, ~penc, r)
1533        return tick.compacted(A, b, y)
1534
1535def tick.size(~A: Data, ~penc: A -> Bytes.Bytes, r: Runner<A>, +b: Bool) -> IO(Runner<A> & Out(Bool)):
1536  Runner{Log{J.Journal{file, max, +end, ok}, path, limit, +base}, s, p, +c, ib, fs} = r
1537  Config{pol, circ, idle, +every} = c
1538  tick.due(~A, ~penc, Bool.and(Bool.not(U32.is_eq(every, 0)), U32.is_gt((end - base : U32), every)), b,
1539    Runner{Log{J.Journal{file, max, end, ok}, path, limit, base}, s, p, c, ib, fs})
1540
1541# Compacts once the journal grew past Config.compact octets since open or the last compaction.
1542def tick.grown(~A: Data, ~penc: A -> Bytes.Bytes, t: Runner<A> & Out(Bool)) -> IO(Runner<A> & Out(Bool)):
1543  match t:
1544    case (r, Fail{e}):
1545      IO.pure(Runner<A> & Out(Bool), (r, Fail{e}))
1546    case (r, Done{b}):
1547      tick.size(~A, ~penc, r, b)
1548
1549def tick.polled(-A: Data, x: Poll<&1, &1, Maybe<&1, Msg<A>>, Unit>) -> Maybe<&1, Msg<A>>:
1550  match x:
1551    case Ready{m}:
1552      m
1553    case Wait{u}:
1554      None{}
1555
1556def tick.wait(-A: Data, t: List<&1, Flight<A>> & Bool, j: Log, s: State<A>, p: Res.Pool, c: Config, +ib: Chan(Msg<A>)) ->
1557    IO(Runner<A> & Maybe<&1, Msg<A>>):
1558  (fs, none) = t
1559  match none:
1560    case False{}:
1561      do IO<Runner<A> & Maybe<&1, Msg<A>>>:
1562        m : Maybe<&1, Msg<A>> <- Chan.recv(Msg<A>, ib)
1563        return (Runner{j, s, p, c, ib, fs}, m)
1564    case True{}:
1565      do IO<Runner<A> & Maybe<&1, Msg<A>>>:
1566        x : Poll<&1, &1, Maybe<&1, Msg<A>>, Unit> <- Chan.try_recv(Msg<A>, ib, 0)
1567        return (Runner{j, s, p, c, ib, fs}, tick.polled(A, x))
1568
1569# The next message. While an attempt runs, it waits for one; when none runs, it takes one only when the inbox holds one.
1570def tick.next(-A: Data, r: Runner<A>) -> IO(Runner<A> & Maybe<&1, Msg<A>>):
1571  Runner{j, s, p, c, ib, fs} = r
1572  tick.wait(A, flights.none(A, fs), j, s, p, c, ib)
1573
1574# Handles the message, then claims due tickets into free units with the claim fuel left. None ends the round.
1575def tick.got(~A: Data, ~penc: A -> Bytes.Bytes, ~target: A -> String, ~work: A -> IO(Retry.Outcome), x: Runner<A> & Maybe<&1, Msg<A>>, +ran: Bool, +left: Nat,
1576    err: Out(Unit), next: Claimed(A) -> IO(Runner<A> & Out(Bool))) -> IO(Runner<A> & Out(Bool)):
1577  (r, m) = x
1578  match m:
1579    case None{}:
1580      IO.pure(Runner<A> & Out(Bool), (r, tick.ran(err, ran)))
1581    case Some{msg}:
1582      do IO<Runner<A> & Out(Bool)>:
1583        +now : Nat <- clock()
1584        rnd : Out(U32) <- IO.random_u32()
1585        handle(~A, ~penc, msg, now, random(rnd), r, err, (r2 => more => e2 =>
1586          IO.bind(Claimed(A), Runner<A> & Out(Bool), claim(~A, ~penc, ~target, ~work, Nat.add(left, more), now, r2), k2 => next(merged(A, e2, k2)))))
1587
1588# Handles messages until no attempt runs and the inbox is empty. fuel bounds the messages; attempts that still run
1589# when it ends stay in the runner, and the next tick settles them.
1590def tick.run(~A: Data, ~penc: A -> Bytes.Bytes, ~target: A -> String, ~work: A -> IO(Retry.Outcome), fuel: Nat, +ran: Bool, k: Claimed(A)) ->
1591    IO(Runner<A> & Out(Bool)):
1592  match fuel:
1593    case 0n:
1594      (r, left, err) = k
1595      IO.pure(Runner<A> & Out(Bool), (r, tick.ran(err, ran)))
1596    case 1n+n:
1597      (r, +left, err) = k
1598      do IO<Runner<A> & Out(Bool)>:
1599        x : Runner<A> & Maybe<&1, Msg<A>> <- tick.next(A, r)
1600        tick.got(~A, ~penc, ~target, ~work, x, ran, left, err, (k2 => tick.run(~A, ~penc, ~target, ~work, n, True{}, k2)))
1601
1602# Fuel for each pending ticket, each attempt that may already run, and the last look at the inbox.
1603def tick.at(~A: Data, ~penc: A -> Bytes.Bytes, ~target: A -> String, ~work: A -> IO(Retry.Outcome), +now: Nat, r: Runner<A>) -> IO(Runner<A> & Out(Bool)):
1604  Runner{j, +s, +p, c, ib, fs} = r
1605  +fuel = Nat.add(2n, Nat.add(pending(A, s), Res.capacity(p)))
1606  do IO<Runner<A> & Out(Bool)>:
1607    k : Claimed(A) <- claim(~A, ~penc, ~target, ~work, fuel, now, Runner{j, s, p, c, ib, fs})
1608    tick.run(~A, ~penc, ~target, ~work, fuel, False{}, k)
1609
1610# One round: start an attempt for each due ticket the pool admits. Then read the inbox: as each attempt finishes, record its outcome,
1611# return its unit, and start the next due ticket in that unit; append and answer each ask from another fiber.
1612# The round ends when no attempt runs and the inbox is empty. Then compact the journal when it grew past Config.compact.
1613# Done{True} when an attempt ran or an ask was answered. work runs on its own; target names the breaker that guards it.
1614def tick(~A: Data, ~penc: A -> Bytes.Bytes, ~target: A -> String, ~work: A -> IO(Retry.Outcome), r: Runner<A>) -> IO(Runner<A> & Out(Bool)):
1615  do IO<Runner<A> & Out(Bool)>:
1616    now : Nat <- clock()
1617    t : Runner<A> & Out(Bool) <- tick.at(~A, ~penc, ~target, ~work, now, r)
1618    tick.grown(~A, ~penc, t)
1619
1620def finished.of(-A: Data, +quiet: Bool, t: List<&1, Flight<A>> & Bool, j: Log, s: State<A>, p: Res.Pool, c: Config, ib: Chan(Msg<A>)) ->
1621    Runner<A> & Bool:
1622  (fs, none) = t
1623  (Runner{j, s, p, c, ib, fs}, Bool.and(quiet, none))
1624
1625# The runner back, and whether no ticket is pending or running and no attempt runs.
1626def finished(-A: Data, r: Runner<A>) -> Runner<A> & Bool:
1627  Runner{j, +s, p, c, ib, fs} = r
1628  finished.of(A, idle(A, s), flights.none(A, fs), j, s, p, c, ib)
1629
1630def drain.handled(-A: Data, t: Runner<A> & Out(Bool), next: Runner<A> -> IO(Ran(A))) -> IO(Ran(A)):
1631  match t:
1632    case (r, Fail{e}):
1633      IO.pure(Ran(A), (r, Fail{e}))
1634    case (r, Done{b}):
1635      next(r)
1636
1637def drain.woke(~A: Data, ~penc: A -> Bytes.Bytes, ~target: A -> String, ~work: A -> IO(Retry.Outcome), +idle: U32,
1638    x: Poll<&1, &1, Maybe<&1, Msg<A>>, Unit>, r: Runner<A>, next: Runner<A> -> IO(Ran(A))) -> IO(Ran(A)):
1639  match x:
1640    case Ready{Some{m}}:
1641      do IO<Ran(A)>:
1642        t : Runner<A> & Out(Bool) <- tick.got(~A, ~penc, ~target, ~work, (r, Some{m}), True{}, 0n, Done{Unit{}},
1643          (k => tick.run(~A, ~penc, ~target, ~work, 0n, True{}, k)))
1644        drain.handled(A, t, next)
1645    case Ready{None{}}:
1646      do IO<Ran(A)>:
1647        IO.sleep(idle)
1648        next(r)
1649    case Wait{u}:
1650      next(r)
1651
1652def drain.wait(~A: Data, ~penc: A -> Bytes.Bytes, ~target: A -> String, ~work: A -> IO(Retry.Outcome), +idle: U32, r: Runner<A>,
1653    next: Runner<A> -> IO(Ran(A))) -> IO(Ran(A)):
1654  Runner{j, s, p, c, +ib, fs} = r
1655  do IO<Ran(A)>:
1656    x : Poll<&1, &1, Maybe<&1, Msg<A>>, Unit> <- Chan.try_recv(Msg<A>, ib, idle)
1657    drain.woke(~A, ~penc, ~target, ~work, idle, x, Runner{j, s, p, c, ib, fs}, next)
1658
1659def drain.ticked(~A: Data, ~penc: A -> Bytes.Bytes, ~target: A -> String, ~work: A -> IO(Retry.Outcome), +idle: U32,
1660    t: Runner<A> & Out(Bool), next: Runner<A> -> IO(Ran(A))) -> IO(Ran(A)):
1661  match t:
1662    case (r, Fail{e}):
1663      IO.pure(Ran(A), (r, Fail{e}))
1664    case (r, Done{True{}}):
1665      next(r)
1666    case (r, Done{False{}}):
1667      drain.wait(~A, ~penc, ~target, ~work, idle, r, next)
1668
1669def drain.if(~A: Data, ~penc: A -> Bytes.Bytes, ~target: A -> String, ~work: A -> IO(Retry.Outcome), done: Bool, r: Runner<A>, next: Runner<A> -> IO(Ran(A))) -> IO(Ran(A)):
1670  match done:
1671    case True{}:
1672      IO.pure(Ran(A), (r, Done{Unit{}}))
1673    case False{}:
1674      Runner{j, s, p, +c, ib, fs} = r
1675      Config{pol, circ, +idle, every} = c
1676      do IO<Ran(A)>:
1677        t : Runner<A> & Out(Bool) <- tick(~A, ~penc, ~target, ~work, Runner{j, s, p, c, ib, fs})
1678        drain.ticked(~A, ~penc, ~target, ~work, idle, t, next)
1679
1680def drain.at(~A: Data, ~penc: A -> Bytes.Bytes, ~target: A -> String, ~work: A -> IO(Retry.Outcome), x: Runner<A> & Bool, next: Runner<A> -> IO(Ran(A))) -> IO(Ran(A)):
1681  (r, done) = x
1682  drain.if(~A, ~penc, ~target, ~work, done, r, next)
1683
1684def drain.end(-A: Data, x: Runner<A> & Bool) -> Ran(A):
1685  (r, done) = x
1686  (r, Bool.pick(Out(Unit), done, Done{Unit{}}, Fail{(62, "runner: drain ran out of rounds")}))
1687
1688# Ticks until no ticket is pending or running and no attempt runs. After a round that did nothing, it waits up to idle ms
1689# for a message, and handles one that arrives at once.
1690# Fails when fuel rounds leave work.
1691def drain(~A: Data, ~penc: A -> Bytes.Bytes, ~target: A -> String, ~work: A -> IO(Retry.Outcome), fuel: Nat, r: Runner<A>) -> IO(Ran(A)):
1692  match fuel:
1693    case 0n:
1694      IO.pure(Ran(A), drain.end(A, finished(A, r)))
1695    case 1n+n:
1696      drain.at(~A, ~penc, ~target, ~work, finished(A, r), (r2 => drain(~A, ~penc, ~target, ~work, n, r2)))
1697
1698def orphans.next(-A: Data, y: Ran(A), err: Out(Unit), next: Runner<A> -> Out(Unit) -> IO(Ran(A))) -> IO(Ran(A)):
1699  (r, e) = y
1700  next(r, first(err, e))
1701
1702# A running ticket at open lost its attempt in a crash: it is requeued at now, as a failed attempt.
1703def orphans(~A: Data, ~penc: A -> Bytes.Bytes, ts: List<&2, Q.Ticket<A>>, +now: Nat, r: Runner<A>, err: Out(Unit)) -> IO(Ran(A)):
1704  match ts:
1705    case Nil{}:
1706      IO.pure(Ran(A), (r, err))
1707    case Con{Q.Ticket{id, d, x}, rest}:
1708      do IO<Ran(A)>:
1709        y : Ran(A) <- commit(~A, ~penc, r, Requeue{id, now})
1710        orphans.next(A, y, err, (r2 => e2 => orphans(~A, ~penc, rest, now, r2, e2)))
1711
1712def close.answer(-A: Data, m: Msg<A>) -> IO(Unit):
1713  match m:
1714    case Ended{id, o}:
1715      IO.pure(Unit, Unit{})
1716    case Add{d, x, rep}:
1717      do IO<Unit>:
1718        y : Result<&1, &1, Out(Nat), Unit> <- Chan.send(Out(Nat), rep, Fail{(32, "runner: the runner closed")})
1719        return Unit{}
1720    case Drop{i, rep}:
1721      do IO<Unit>:
1722        y : Result<&1, &1, Out(Unit), Unit> <- Chan.send(Out(Unit), rep, Fail{(32, "runner: the runner closed")})
1723        return Unit{}
1724
1725def close.polled(-A: Data, x: Poll<&1, &1, Maybe<&1, Msg<A>>, Unit>, next: Unit -> IO(Unit)) -> IO(Unit):
1726  match x:
1727    case Ready{Some{m}}:
1728      do IO<Unit>:
1729        close.answer(A, m)
1730        next(Unit{})
1731    case Ready{None{}}:
1732      IO.pure(Unit, Unit{})
1733    case Wait{u}:
1734      IO.pure(Unit, Unit{})
1735
1736# Answers each ask left in the closed inbox with a failure. fuel bounds the messages it reads.
1737def close.drain(-A: Data, fuel: Nat, +ib: Chan(Msg<A>)) -> IO(Unit):
1738  match fuel:
1739    case 0n:
1740      IO.pure(Unit, Unit{})
1741    case 1n+n:
1742      do IO<Unit>:
1743        x : Poll<&1, &1, Maybe<&1, Msg<A>>, Unit> <- Chan.try_recv(Msg<A>, ib, 0)
1744        close.polled(A, x, (u => close.drain(A, n, ib)))
1745
1746# Closes the inbox and the journal. Each ask still in the inbox gets a failure, and no op is appended for it.
1747def close(-A: Data, r: Runner<A>) -> IO(Unit):
1748  Runner{j, s, +p, c, +ib, fs} = r
1749  do IO<Unit>:
1750    Chan.close(Msg<A>, ib)
1751    close.drain(A, Nat.add(2n, Res.capacity(p)), ib)
1752    log.close(j)
1753
1754def open.done(-A: Data, y: Ran(A)) -> IO(Out(Runner<A>)):
1755  match y:
1756    case (r, Fail{e}):
1757      do IO<Out(Runner<A>)>:
1758        close(A, r)
1759        return Fail{e}
1760    case (r, Done{u}):
1761      IO.pure(Out(Runner<A>), Done{r})
1762
1763def open.got(~A: Data, ~penc: A -> Bytes.Bytes, x: Out(J.Journal & Maybe<&2, State<A>>), +max: U32, path: String, +limit: U32, c: Config, +capacity: Nat) ->
1764    IO(Out(Runner<A>)):
1765  match x:
1766    case Fail{e}:
1767      IO.pure(Out(Runner<A>), Fail{e})
1768    case Done{(j, None{})}:
1769      do IO<Out(Runner<A>)>:
1770        J.close(j)
1771        return Fail{(22, "runner: a journal record is not a runner record")}
1772    case Done{(j, Some{+s})}:
1773      do IO<Out(Runner<A>)>:
1774        now : Nat <- clock()
1775        ib : Chan(Msg<A>) <- Chan.new(Msg<A>, (U32.from_nat(capacity) + 1 : U32))
1776        y : Ran(A) <- orphans(~A, ~penc, Q.running(A, queue(A, s)), now, Runner{log.of(j, max, path, limit), calm(A, s), Res.new(0n, capacity), c, ib, Nil{}}, Done{Unit{}})
1777        open.done(A, y)
1778
1779def replay.step(~A: Data, ~pdec: Bytes.Bytes -> Maybe<&2, A>, acc: Maybe<&2, State<A>>, b: Bytes.Bytes) -> Maybe<&2, State<A>>:
1780  load(~A, ~Bytes.Bytes, ~(y => decode.rec(~A, ~pdec, y)), acc, b)
1781
1782# Opens the runner at path: replays its journal into the state, then requeues each ticket that was running.
1783# capacity bounds the attempts that run at once. max caps an op record's octets; limit caps the journal file and a snapshot.
1784# Fails when the journal fails to open, or a committed record is not a snapshot or an op.
1785def open(~A: Data, ~penc: A -> Bytes.Bytes, ~pdec: Bytes.Bytes -> Maybe<&2, A>, +path: String, +max: U32, +limit: U32, c: Config, +capacity: Nat) -> IO(Out(Runner<A>)):
1786  do IO<Out(Runner<A>)>:
1787    x : Out(J.Journal & Maybe<&2, State<A>>) <- J.open(~Maybe<&2, State<A>>, ~(acc => b => replay.step(~A, ~pdec, acc, b)), path, limit, limit, Some{new(A)})
1788    open.got(~A, ~penc, x, max, path, limit, c, capacity)
1789
1790# The runner back, and a copy of its state.
1791def state(-A: Data, r: Runner<A>) -> Runner<A> & State<A>:
1792  Runner{j, +s, p, c, ib, fs} = r
1793  (Runner{j, s, p, c, ib, fs}, s)