arc.bend

near-architecture@0.5.0.0 · 608 lines · 0 definitions

1import Base
2
3# Arc: a system's architecture as types, in two hierarchies over the same containers.
4#   Where it runs: node -> container -> part.
5#   What it is:    system -> container -> part.
6# Keys work like foreign keys: a container names its node (`on`), a part its container (`in`),
7# a link two keys. A project states its laws with the predicates below; the compiler proves them.
8
9# ---- vocabulary ----
10# UserDevice: a user's own device. Server: a machine the project runs. Overlay: the private
11# (overlay) network between them. Outside: someone else's servers.
12type NodeRole is Data:
13  UserDevice{}
14  Server{}
15  Overlay{}
16  Outside{}
17
18type Node is Data:
19  Node{key: String, name: String, role: NodeRole}
20
21# What a container is. The list is closed: something that is none of these is not a container.
22# Client: the app, on the user's device. The private overlay is a node, not a container.
23# DataApi: answers queries on records and changes them.
24# Harness: an agent harness, the loop around a model (tools, context, threads), driven over its remote-control API.
25# Proxy: forwards connections to another container, adding what it lacks, such as TLS or authentication.
26# ModelApi: answers model calls. Cli: a command a person runs. Worker: has no API of its own; it
27# only moves data between data APIs, so it is the first thing to fold into a data API's own actions.
28type ContainerKind is Data:
29  Client{}
30  DataApi{}
31  Harness{}
32  Proxy{}
33  ModelApi{}
34  Cli{}
35  Worker{}
36
37# Whether the project builds and runs it, or uses it as it is.
38type Owner is Data:
39  Ours{}
40  Theirs{}
41
42# Who can reach it: its own machine (127.0.0.1), the local network, the overlay, the device it is on, anyone.
43type Exposure is Data:
44  Local{}
45  Lan{}
46  Tailnet{}
47  Device{}
48  Public{}
49
50# What a container provides. Hosting is serving the app itself (its HTML and scripts); a data API
51# may also host the app only while it is private (shared_hosting_ok).
52type Cap is Data:
53  Hosting{}
54  PrivateHosting{}
55  Realtime{}
56  BlobStore{}
57
58type Lang is Data:
59  Bend{}
60  C{}
61  Rust{}
62  TypeScript{}
63  JavaScript{}
64  Python{}
65  Opaque{}
66
67type Container is Data:
68  Container{key: String, name: String, kind: ContainerKind, owner: Owner, on: String, exposure: Exposure, caps: List<&2, Cap>, technology: List<&2, String>}
69
70type Part is Data:
71  Part{key: String, name: String, lang: Lang, in: String}
72
73# A talks-to edge between two containers or parts, by key.
74type Link is Data:
75  Link{src: String, dst: String, label: String, live: Bool}
76
77type System is Data:
78  System{nodes: List<&2, Node>, containers: List<&2, Container>, parts: List<&2, Part>, links: List<&2, Link>}
79
80# ---- access ----
81def nodes(s: System) -> List<&2, Node>:
82  match s:
83    case System{n, _, _, _}:
84      n
85
86def containers(s: System) -> List<&2, Container>:
87  match s:
88    case System{_, c, _, _}:
89      c
90
91def parts(s: System) -> List<&2, Part>:
92  match s:
93    case System{_, _, p, _}:
94      p
95
96def links(s: System) -> List<&2, Link>:
97  match s:
98    case System{_, _, _, l}:
99      l
100
101def nkey(n: Node) -> String:
102  match n:
103    case Node{k, _, _}:
104      k
105
106def ckey(c: Container) -> String:
107  match c:
108    case Container{k, _, _, _, _, _, _, _}:
109      k
110
111def con(c: Container) -> String:
112  match c:
113    case Container{_, _, _, _, o, _, _, _}:
114      o
115
116def caps(c: Container) -> List<&2, Cap>:
117  match c:
118    case Container{_, _, _, _, _, _, cs, _}:
119      cs
120
121def pkey(p: Part) -> String:
122  match p:
123    case Part{k, _, _, _}:
124      k
125
126def pin(p: Part) -> String:
127  match p:
128    case Part{_, _, _, i}:
129      i
130
131def nkeys(xs: List<&2, Node>) -> List<&2, String>:
132  match xs:
133    case []:
134      []
135    case n <> rest:
136      nkey(n) <> nkeys(rest)
137
138def ckeys(xs: List<&2, Container>) -> List<&2, String>:
139  match xs:
140    case []:
141      []
142    case c <> rest:
143      ckey(c) <> ckeys(rest)
144
145def pkeys(xs: List<&2, Part>) -> List<&2, String>:
146  match xs:
147    case []:
148      []
149    case p <> rest:
150      pkey(p) <> pkeys(rest)
151
152# Keys links may name: containers and parts.
153def keys(+s: System) -> List<&2, String>:
154  List.append(&2, String, ckeys(containers(s)), pkeys(parts(s)))
155
156# ---- predicates on the vocabulary ----
157def is_server(r: NodeRole) -> Bool:
158  match r:
159    case Server{}:
160      True{}
161    case _:
162      False{}
163
164def is_outside(r: NodeRole) -> Bool:
165  match r:
166    case Outside{}:
167      True{}
168    case _:
169      False{}
170
171def is_device(r: NodeRole) -> Bool:
172  match r:
173    case UserDevice{}:
174      True{}
175    case _:
176      False{}
177
178def is_overlay(r: NodeRole) -> Bool:
179  match r:
180    case Overlay{}:
181      True{}
182    case _:
183      False{}
184
185def one_if(b: Bool) -> Nat:
186  match b:
187    case True{}:
188      1n
189    case False{}:
190      0n
191
192def overlay_nodes.go(xs: List<&2, Node>) -> Nat:
193  match xs:
194    case []:
195      0n
196    case n <> rest:
197      match n:
198        case Node{_, _, role}:
199          Nat.add(one_if(is_overlay(role)), overlay_nodes.go(rest))
200
201# Private access is represented by exactly one Overlay node.
202def overlay_nodes(+s: System) -> Nat:
203  overlay_nodes.go(nodes(s))
204
205def is_client(k: ContainerKind) -> Bool:
206  match k:
207    case Client{}:
208      True{}
209    case _:
210      False{}
211
212def is_data_api(k: ContainerKind) -> Bool:
213  match k:
214    case DataApi{}:
215      True{}
216    case _:
217      False{}
218
219def is_ours(o: Owner) -> Bool:
220  match o:
221    case Ours{}:
222      True{}
223    case Theirs{}:
224      False{}
225
226def is_local(e: Exposure) -> Bool:
227  match e:
228    case Local{}:
229      True{}
230    case _:
231      False{}
232
233def is_tailnet(e: Exposure) -> Bool:
234  match e:
235    case Tailnet{}:
236      True{}
237    case _:
238      False{}
239
240def is_rust(l: Lang) -> Bool:
241  match l:
242    case Rust{}:
243      True{}
244    case _:
245      False{}
246
247# ---- keys, like foreign keys ----
248def str_eq(a: String, b: String) -> Bool:
249  String.eq(a, b)
250
251def has(+s: String, xs: List<&2, String>) -> Bool:
252  match xs:
253    case []:
254      False{}
255    case x <> rest:
256      str_eq(s, x) || has(s, rest)
257
258def pick_str(c: Bool, a: String, b: String) -> String:
259  match c:
260    case True{}:
261      a
262    case False{}:
263      b
264
265# No key names two things.
266def distinct_keys(xs: List<&2, String>) -> Bool:
267  match xs:
268    case []:
269      True{}
270    case +k <> +rest:
271      Bool.not(has(k, rest)) && distinct_keys(rest)
272
273# Every key in `xs` names something in `ks`.
274def all_in(xs: List<&2, String>, +ks: List<&2, String>) -> Bool:
275  match xs:
276    case []:
277      True{}
278    case x <> rest:
279      has(x, ks) && all_in(rest, ks)
280
281def part_ins(xs: List<&2, Part>) -> List<&2, String>:
282  match xs:
283    case []:
284      []
285    case p <> rest:
286      pin(p) <> part_ins(rest)
287
288def container_ons(xs: List<&2, Container>) -> List<&2, String>:
289  match xs:
290    case []:
291      []
292    case c <> rest:
293      con(c) <> container_ons(rest)
294
295def link_ends(xs: List<&2, Link>) -> List<&2, String>:
296  match xs:
297    case []:
298      []
299    case l <> rest:
300      match l:
301        case Link{a, b, _, _}:
302          a <> b <> link_ends(rest)
303
304# The system is well formed: node keys and container/part keys are unique, every container is on
305# a node, every part in a container, and every link joins two things that exist.
306def well_formed(+s: System) -> Bool:
307  distinct_keys(nkeys(nodes(s))) && distinct_keys(keys(s)) &&
308  all_in(container_ons(containers(s)), nkeys(nodes(s))) &&
309  all_in(part_ins(parts(s)), ckeys(containers(s))) &&
310  all_in(link_ends(links(s)), keys(s))
311
312# ---- looking things up ----
313def part_home(+k: String, xs: List<&2, Part>) -> String:
314  match xs:
315    case []:
316      ""
317    case +p <> rest:
318      pick_str(str_eq(k, pkey(p)), pin(p), part_home(k, rest))
319
320# The container a key belongs to: itself, or the one its part sits in.
321def home(+k: String, +s: System) -> String:
322  pick_str(has(k, ckeys(containers(s))), k, part_home(k, parts(s)))
323
324def none() -> Container:
325  Container{"", "", Worker{}, Theirs{}, "", Public{}, [], []}
326
327def pick_c(hit: Bool, c: Container, other: Container) -> Container:
328  match hit:
329    case True{}:
330      c
331    case False{}:
332      other
333
334# The container with key `k` (an empty one when `k` is unknown; well_formed rules that out).
335def container(+k: String, xs: List<&2, Container>) -> Container:
336  match xs:
337    case []:
338      none()
339    case +c <> rest:
340      pick_c(str_eq(k, ckey(c)), c, container(k, rest))
341
342def pick_r(hit: Bool, r: NodeRole, other: NodeRole) -> NodeRole:
343  match hit:
344    case True{}:
345      r
346    case False{}:
347      other
348
349def node_role(+k: String, xs: List<&2, Node>) -> NodeRole:
350  match xs:
351    case []:
352      Outside{}
353    case n <> rest:
354      match n:
355        case Node{nk, _, r}:
356          pick_r(str_eq(k, nk), r, node_role(k, rest))
357
358# The node a container or part runs on, and its role.
359def node_of(+k: String, +s: System) -> String:
360  con(container(home(k, s), containers(s)))
361
362def role_of(+k: String, +s: System) -> NodeRole:
363  node_role(node_of(k, s), nodes(s))
364
365def container_exposure(c: Container) -> Exposure:
366  match c:
367    case Container{_, _, _, _, _, exposure, _, _}:
368      exposure
369
370def exposure_of(+k: String, +s: System) -> Exposure:
371  container_exposure(container(home(k, s), containers(s)))
372
373# ---- where it runs ----
374# On a server, everything is reachable only from the server itself or over the overlay.
375def private_ok(c: Container, +ns: List<&2, Node>) -> Bool:
376  match c:
377    case Container{_, _, _, _, on, +exposure, _, _}:
378      Bool.not(is_server(node_role(on, ns))) || is_tailnet(exposure) || is_local(exposure)
379
380def all_private(xs: List<&2, Container>, +ns: List<&2, Node>) -> Bool:
381  match xs:
382    case []:
383      True{}
384    case c <> rest:
385      private_ok(c, ns) && all_private(rest, ns)
386
387def servers_private(+s: System) -> Bool:
388  all_private(containers(s), nodes(s))
389
390# A device reaches a server over the overlay only when the destination is exposed to the tailnet.
391def devices_via_network.go(xs: List<&2, Link>, +s: System) -> Bool:
392  match xs:
393    case []:
394      True{}
395    case l <> rest:
396      match l:
397        case Link{src, +dst, _, _}:
398          (Bool.not(is_device(role_of(src, s)) && is_server(role_of(dst, s))) ||
399            is_tailnet(exposure_of(dst, s))) && devices_via_network.go(rest, s)
400
401def devices_via_network(+s: System) -> Bool:
402  devices_via_network.go(links(s), s)
403
404# ---- what it is: minimality, every capability provided exactly once ----
405def is_cap(want: Cap, c: Cap) -> Bool:
406  match want c:
407    case Hosting{} Hosting{}:
408      True{}
409    case PrivateHosting{} PrivateHosting{}:
410      True{}
411    case Realtime{} Realtime{}:
412      True{}
413    case BlobStore{} BlobStore{}:
414      True{}
415    case _ _:
416      False{}
417
418def count_in(+want: Cap, cs: List<&2, Cap>) -> Nat:
419  match cs:
420    case []:
421      0n
422    case c <> rest:
423      Nat.add(one_if(is_cap(want, c)), count_in(want, rest))
424
425def direct(+want: Cap, xs: List<&2, Container>) -> Nat:
426  match xs:
427    case []:
428      0n
429    case c <> rest:
430      Nat.add(count_in(want, caps(c)), direct(want, rest))
431
432def tailnet_hosting.go(xs: List<&2, Container>) -> Nat:
433  match xs:
434    case []:
435      0n
436    case c <> rest:
437      match c:
438        case Container{_, _, _, _, _, exposure, cs, _}:
439          Nat.add(one_if(is_tailnet(exposure) && Nat.is_gt(count_in(Hosting{}, cs), 0n)), tailnet_hosting.go(rest))
440
441# How many containers host the app at Tailnet exposure.
442def tailnet_hosting(+s: System) -> Nat:
443  tailnet_hosting.go(containers(s))
444
445# How many containers provide `want`. One tailnet host plus one overlay composes private hosting.
446def provided(want: Cap, +s: System) -> Nat:
447  match want:
448    case PrivateHosting{}:
449      Nat.add(direct(PrivateHosting{}, containers(s)), one_if(Nat.is_eq(tailnet_hosting(s), 1n) && Nat.is_eq(overlay_nodes(s), 1n)))
450    case _:
451      direct(want, containers(s))
452
453def tailnet_data_apis.go(xs: List<&2, Container>) -> Nat:
454  match xs:
455    case []:
456      0n
457    case c <> rest:
458      match c:
459        case Container{_, _, kind, _, _, exposure, _, _}:
460          Nat.add(one_if(is_data_api(kind) && is_tailnet(exposure)), tailnet_data_apis.go(rest))
461
462# The data APIs the overlay reaches: the client's data API. Local and outside ones are its sources.
463def tailnet_data_apis(+s: System) -> Nat:
464  tailnet_data_apis.go(containers(s))
465
466def own_data_apis.go(xs: List<&2, Container>, +ns: List<&2, Node>) -> Nat:
467  match xs:
468    case []:
469      0n
470    case c <> rest:
471      match c:
472        case Container{_, _, kind, _, on, _, _, _}:
473          Nat.add(one_if(is_data_api(kind) && Bool.not(is_outside(node_role(on, ns)))), own_data_apis.go(rest, ns))
474
475# The system's own data APIs: those not on someone else's servers. "Exactly one" means one store.
476def own_data_apis(+s: System) -> Nat:
477  own_data_apis.go(containers(s), nodes(s))
478
479# A data API may also host the app only while it is private.
480def shared_hosting_ok(c: Container) -> Bool:
481  match c:
482    case Container{_, _, kind, _, _, +exposure, +cs, _}:
483      Bool.not(Nat.is_gt(count_in(Hosting{}, cs), 0n) && is_data_api(kind)) || is_tailnet(exposure) || is_local(exposure)
484
485def shared_hosting_private.go(xs: List<&2, Container>) -> Bool:
486  match xs:
487    case []:
488      True{}
489    case c <> rest:
490      shared_hosting_ok(c) && shared_hosting_private.go(rest)
491
492def shared_hosting_private(+s: System) -> Bool:
493  shared_hosting_private.go(containers(s))
494
495# ---- a goal: every part of our own non-client containers is Rust ----
496def backend(c: Container) -> Bool:
497  match c:
498    case Container{_, _, kind, owner, _, _, _, _}:
499      is_ours(owner) && Bool.not(is_client(kind))
500
501def rust_ok(p: Part, +s: System) -> Bool:
502  match p:
503    case Part{_, _, lang, i}:
504      Bool.not(backend(container(i, containers(s)))) || is_rust(lang)
505
506def all_rust.go(xs: List<&2, Part>, +s: System) -> Bool:
507  match xs:
508    case []:
509      True{}
510    case p <> rest:
511      rust_ok(p, s) && all_rust.go(rest, s)
512
513def all_rust(+s: System) -> Bool:
514  all_rust.go(parts(s), s)
515
516# Every modeled part belongs to a container we build; someone else's program is a black box.
517def container_ours(c: Container) -> Bool:
518  match c:
519    case Container{_, _, _, owner, _, _, _, _}:
520      is_ours(owner)
521
522def parts_ours.go(xs: List<&2, Part>, +s: System) -> Bool:
523  match xs:
524    case []:
525      True{}
526    case p <> rest:
527      container_ours(container(pin(p), containers(s))) && parts_ours.go(rest, s)
528
529def parts_ours(+s: System) -> Bool:
530  parts_ours.go(parts(s), s)
531
532# ---- the diagram (D2): nodes as boxes, containers inside their node, parts inside their container ----
533def path(+k: String, +s: System) -> String:
534  node_of(k, s) ++ "." ++ pick_str(String.eq(home(k, s), k), k, home(k, s) ++ "." ++ k)
535
536def node_box(n: Node) -> String:
537  match n:
538    case Node{k, name, role}:
539      match role:
540        case Outside{}:
541          k ++ ": \"" ++ name ++ "\" {class: node; style.stroke-dash: 4; style.fill: \"#FFFFFF\"}\n"
542        case _:
543          k ++ ": \"" ++ name ++ "\" {class: node}\n"
544
545def node_boxes(xs: List<&2, Node>) -> String:
546  match xs:
547    case []:
548      ""
549    case n <> rest:
550      node_box(n) ++ node_boxes(rest)
551
552def technology_label(xs: List<&2, String>) -> String:
553  match xs:
554    case []:
555      ""
556    case _:
557      "\\n[" ++ String.join(xs, ", ") ++ "]"
558
559def container_box(c: Container) -> String:
560  match c:
561    case Container{k, name, _, _, on, _, _, technology}:
562      on ++ "." ++ k ++ ": \"" ++ name ++ technology_label(technology) ++ "\" {class: container}\n"
563
564def container_boxes(xs: List<&2, Container>) -> String:
565  match xs:
566    case []:
567      ""
568    case c <> rest:
569      container_box(c) ++ container_boxes(rest)
570
571def part_box(p: Part, +s: System) -> String:
572  match p:
573    case Part{+k, name, _, _}:
574      path(k, s) ++ ": \"" ++ name ++ "\" {class: part}\n"
575
576def part_boxes(xs: List<&2, Part>, +s: System) -> String:
577  match xs:
578    case []:
579      ""
580    case p <> rest:
581      part_box(p, s) ++ part_boxes(rest, s)
582
583def style(live: Bool) -> String:
584  match live:
585    case True{}:
586      "live"
587    case False{}:
588      "plain"
589
590def edges(xs: List<&2, Link>, +s: System) -> String:
591  match xs:
592    case []:
593      ""
594    case l <> rest:
595      match l:
596        case Link{src, dst, label, live}:
597          path(src, s) ++ " -> " ++ path(dst, s) ++ ": \"" ++ label ++ "\" {class: " ++ style(live) ++ "}\n" ++ edges(rest, s)
598
599def d2(+s: System) -> String:
600  "direction: right\n" ++
601  "classes: {\n" ++
602  "  node: {style: {fill: \"#F2F2F2\"; stroke: \"#D9D9D9\"; border-radius: 14; font-size: 26; bold: true}}\n" ++
603  "  container: {style: {fill: \"#FFFFFF\"; stroke: \"#8C8C8C\"; border-radius: 10; font-size: 22}}\n" ++
604  "  part: {style: {fill: \"#FAFAFA\"; stroke: \"#BFBFBF\"; border-radius: 8; font-size: 18}}\n" ++
605  "  live: {style: {stroke: \"#3E8A62\"; stroke-width: 3; font-color: \"#3E8A62\"; font-size: 18; bold: true}}\n" ++
606  "  plain: {style: {stroke: \"#8C8C8C\"; stroke-width: 2; font-color: \"#8C8C8C\"; font-size: 16}}\n" ++
607  "}\n" ++
608  node_boxes(nodes(s)) ++ container_boxes(containers(s)) ++ part_boxes(parts(s), s) ++ edges(links(s), s)