Compare commits

...

365 commits
main ... main

Author SHA1 Message Date
906c8708fd Merge pull request 'add extraVolumes and extraVolumeMounts to helm chart' (#896) from eugene-davis/garage:main into main
Reviewed-on: Deuxfleurs/garage#896
Reviewed-by: maximilien <me@mricher.fr>
2024-11-19 22:23:13 +00:00
747889a096 Merge pull request 'Update Python SDK documentation' (#887) from cryptolukas/garage:fix-python-sdk-docs into main
Reviewed-on: Deuxfleurs/garage#887
2024-11-19 09:15:03 +00:00
feb09a4bc6 Merge pull request 'doc: update mastodon media header pruning section' (#888) from teutat3s/garage:doc-update-mastodon-media into main
Reviewed-on: Deuxfleurs/garage#888
2024-11-19 09:14:34 +00:00
aa8bc6aa88 Merge pull request 'doc: add Triplebit's use-case' (#901) from jonah/garage:triplebit into main
Reviewed-on: Deuxfleurs/garage#901
Reviewed-by: maximilien <me@mricher.fr>
2024-11-17 13:43:49 +00:00
aba7902995
doc: add Triplebit's use-case 2024-11-15 16:27:46 -06:00
78de7b5bde Merge pull request 'fix bit/byte inversion in rpc secret error message' (#898) from trinity-1686a/garage:rpc-comment into main
Reviewed-on: Deuxfleurs/garage#898
2024-11-07 11:11:12 +00:00
9bd9e392ba fix bit/byte inversion in rpc secret error message 2024-11-07 00:29:26 +01:00
116ad479a8
add extraVolumes and extraVolumeMounts to helm chart 2024-10-26 21:14:08 +02:00
teutat3s
b6a58c5c16
doc: update mastodon media header pruning section
This is now possible since the upstream issue has been resolved.
https://github.com/mastodon/mastodon/issues/9567
2024-10-17 20:59:21 +02:00
2b0bfa9b18 the old value do not work out of the box 2024-10-14 17:20:26 +02:00
a18b3f0d1f Merge pull request 'Garage v1.0.1' (#881) from rel-v1.0.1 into main
Reviewed-on: Deuxfleurs/garage#881
2024-09-22 13:02:02 +00:00
7a143f46fc
Bump to version 1.0.1 2024-09-22 14:25:32 +02:00
c731f0291a Merge pull request 'fix logic in garage layout skip-dead-nodes + fix typo (fix #879)' (#880) from fix-skip-dead-nodes into main
Reviewed-on: Deuxfleurs/garage#880
2024-09-22 12:01:49 +00:00
34453bc9c2
fix logic in garage layout skip-dead-nodes + fix typo (fix #879) 2024-09-22 13:47:27 +02:00
6da1353541 Merge pull request 'Don't fetch old values in cross-partition transactional inserts' (#877) from withings/garage:perf/kv/insert-no-return-cross-partition into main
Reviewed-on: Deuxfleurs/garage#877
2024-09-14 15:57:27 +00:00
bd71728874
Tests: don't expect old value after transactional insert 2024-09-12 10:50:53 +02:00
51ced60366
Don't fetch old values in cross-partition transactional inserts 2024-09-12 10:26:28 +02:00
586957b4b7 Merge pull request 'KV: don't retrieve values for write ops' (#873) from marvinj97/garage:perf/kv/insert-no-return into main
Reviewed-on: Deuxfleurs/garage#873
Reviewed-by: Alex <alex@adnab.me>
2024-09-10 09:06:29 +00:00
8d2bb4afeb Merge pull request 'Typo' (#875) from faust/garage:doc2 into main
Reviewed-on: Deuxfleurs/garage#875
2024-09-10 09:03:31 +00:00
c26f32b769
Typo
And remove trailing white space.
2024-09-10 09:34:59 +02:00
8062ec7b4b test: fix db tests 2024-09-04 19:24:36 +02:00
eb416a02fb dont assert deletion count in sqlite KV adapter 2024-09-04 18:51:51 +02:00
74363c9060 perf(kv): dont retrieve values for write ops
see Deuxfleurs/garage#851
2024-09-04 18:45:17 +02:00
615698df7d Merge pull request 'update compiler to Rust 1.77' (#866) from rust-1.77 into main
Reviewed-on: Deuxfleurs/garage#866
2024-08-26 19:08:00 +00:00
7061fa5a56
use rust 1.77 in nix/compile.nix 2024-08-26 19:19:16 +02:00
8881930cdd
update nixpkgs and rust-overlay sources in flake.nix 2024-08-26 19:19:16 +02:00
52f6c0760b Merge pull request 'update crate time (fix #849)' (#865) from update-time into main
Reviewed-on: Deuxfleurs/garage#865
2024-08-26 16:20:04 +00:00
5b0602c7e9
update crate time (fix #849) 2024-08-26 18:11:21 +02:00
182b2af7e5 Merge pull request 'api servers: kill opened connections after SIGINT after 10s deadline (fix #806)' (#864) from exit-deadline into main
Reviewed-on: Deuxfleurs/garage#864
2024-08-25 18:34:55 +00:00
baf32c9575
api servers: kill opened connections after SIGINT after 10s deadline (fix #806) 2024-08-25 20:04:56 +02:00
3dda1ee4f6 Merge pull request 'fix build when lmdb feature is disabled (fix #800)' (#863) from fix-800 into main
Reviewed-on: Deuxfleurs/garage#863
2024-08-25 10:00:40 +00:00
aa7ce9e97c
fix build when lmdb feature is disabled (fix #800) 2024-08-25 11:42:37 +02:00
8d62616ec0 Merge pull request 'layout: discard old info when it is completely out-of-date (fix #841)' (#861) from fix-841 into main
Reviewed-on: Deuxfleurs/garage#861
2024-08-24 11:12:39 +00:00
bd6fe72c06 Merge pull request 'Quick start: mention Docker (replace #803)' (#862) from dougreeder into main
Reviewed-on: Deuxfleurs/garage#862
2024-08-24 11:07:46 +00:00
4c9e8ef625
doc: clarify quick start on using docker 2024-08-24 13:07:02 +02:00
3e711bc110 Merge pull request 'don't modify postobject request before validating policy' (#850) from trinity-1686a/garage:fix-acl-postobject into main
Reviewed-on: Deuxfleurs/garage#850
2024-08-24 10:49:14 +00:00
7fb66b4944
layout: discard old info when it is completely out-of-date (fix #841) 2024-08-24 12:38:56 +02:00
679ae8bcbb Merge pull request 'Set "no read ahead" on LMDB to improve performances when "LMDB size" > "RAM size"' (#855) from fix-lmdb-no-read-ahead into main
Reviewed-on: Deuxfleurs/garage#855
Reviewed-by: Alex <alex@adnab.me>
2024-08-18 12:25:35 +00:00
2a93ad0c84
force flag "no read ahead" on LMDB 2024-08-17 21:17:15 +02:00
f190032589 don't modify postobject request before validating policy 2024-08-10 20:10:47 +02:00
3a87bd1370 Merge pull request 'Improve error message for malformed RPC secret key' (#846) from improve-secret-error-message into main
Reviewed-on: Deuxfleurs/garage#846
Reviewed-by: Quentin <quentin@dufour.io>
2024-08-09 06:47:11 +00:00
9302cd42f0 Improve error message for malformed RPC secret key 2024-08-08 23:05:24 +00:00
060ad0da32 docs: Update LMDB website 2024-08-06 21:47:14 +00:00
a5ed1161c6 Merge pull request 'Add environment variable dict to helm chart.' (#843) from Benjamin/garage:main into main
Reviewed-on: Deuxfleurs/garage#843
Reviewed-by: maximilien <me@mricher.fr>
2024-08-06 21:45:35 +00:00
Benjamin von Mossner
222674432b This commit adds an environment dict to garage helm chart. Using it, env variables can be set into the garage container environment, useful to set eg. GARAGE_ADMIN_TOKEN or GARAGE_METRICS_TOKEN 2024-07-25 11:42:13 +02:00
070a8ad110 Merge pull request 'doc: fix typo' (#831) from Armael/garage:typo into main
Reviewed-on: Deuxfleurs/garage#831
2024-06-18 12:40:32 +00:00
770384cae1 Merge pull request 'add rpc_public_addr_subnet config option' (#817) from flokli/garage:rpc_public_addr_subnet into main
Reviewed-on: Deuxfleurs/garage#817
Reviewed-by: Alex <alex@adnab.me>
2024-06-18 12:40:07 +00:00
a0f6bc5b7f add rpc_public_addr_subnet config option
In case `rpc_public_addr` is not set, but autodiscovery is used, this
allows filtering the list of automatically discovered IPs to a specific
subnet.

For example, if nodes should pick *their* IP inside a specific subnet,
but you don't want to explicitly write the IP down (as it's dynamic, or
you want to share configs across nodes), you can use this option.
2024-06-05 08:41:36 +02:00
Armaël Guéneau
88c734bbd9 typo 2024-06-04 15:34:02 +02:00
d38509ef4b Merge pull request 'adding the ability to change the default podManagementPolicy for StatefulSets' (#823) from bodaciousbiscuits/garage:main into main
Reviewed-on: Deuxfleurs/garage#823
Reviewed-by: maximilien <me@mricher.fr>
2024-05-25 18:35:53 +00:00
bodaciousbiscuits
39b37833c5 adding the ability to change the default podManagementPolicy for StatefulSets 2024-05-19 21:31:19 -05:00
a2c1de646b Merge pull request 'cli: clarify garage block is node-local' (#813) from flokli/garage:block-node-local into main
Reviewed-on: Deuxfleurs/garage#813
2024-05-12 08:53:26 +00:00
15847a636a cli: clarify garage block is node-local
Prevents some of the confusion from
Deuxfleurs/garage#810.
2024-05-07 07:42:33 +00:00
123d3e1f04 Merge pull request 'flake.nix: add rust-analyzer to devShells.full, expose devShells.full in shell.nix' (#816) from flokli/garage:shell-fixes into main
Reviewed-on: Deuxfleurs/garage#816
2024-04-23 18:54:26 +00:00
a6e4b96ca9 shell.nix: expose devShellFull
This allows accessing devShells.full from shell.nix.
2024-04-23 11:59:37 +03:00
b442b0e35e devShells.full: add rust-analyzer 2024-04-23 11:59:37 +03:00
0c3b198b22 Improves Quick Start for users not using Linux 2024-04-10 16:42:10 -04:00
33c2086d9e Merge pull request '[fix-doc] fix broken references in documentation' (#802) from fix-doc into main
Reviewed-on: Deuxfleurs/garage#802
2024-04-10 15:49:03 +00:00
5ad1e55ccf [fix-doc] fix broken references in documentation 2024-04-10 17:47:34 +02:00
1779fd40c0 Merge pull request 'Garage v1.0' (#683) from next-0.10 into main
Reviewed-on: Deuxfleurs/garage#683
2024-04-10 15:23:12 +00:00
ff093ddbb8
Merge branch 'main' into next-0.10 2024-04-10 14:38:14 +02:00
90e3c2af91
[next-0.10] small updates to mention Garage v0.9.4 2024-04-10 14:35:30 +02:00
b47706809c Merge pull request 'fix typo in doc' (#799) from fix-typo into main
Reviewed-on: Deuxfleurs/garage#799
2024-04-08 15:09:27 +00:00
126e0f47a3 fix typo in doc 2024-04-08 17:08:44 +02:00
738bb2f09c Merge pull request 'Garage v0.9.4' (#798) from rel-0.9.4 into main
Reviewed-on: Deuxfleurs/garage#798
2024-04-08 09:57:03 +00:00
7dd7cb5759
[rel-0.9.4] upgrade version to v0.9.4 2024-04-08 11:18:19 +02:00
8b663d8c5b Merge pull request 'jepsen testing of Garage v1.0.0-rc1' (#796) from jepsen-1.0rc1 into main
Reviewed-on: Deuxfleurs/garage#796
2024-04-05 21:05:58 +00:00
c051db8204 jepsen testing of Garage v1.0.0-rc1 2024-04-05 22:57:00 +02:00
50669b3e76
[next-0.10] bump helm chart version 2024-04-03 14:19:59 +02:00
e5838b4837 Merge pull request '[doc-units] document how interval value is parsed' (#795) from doc-units into main
Reviewed-on: Deuxfleurs/garage#795
2024-04-03 12:15:18 +00:00
87dfaf2eb9
[doc-units] document how interval value is parsed 2024-04-03 14:14:13 +02:00
554437254e
[next-0.10] Add migration guide for v1.0 2024-03-28 18:45:06 +01:00
afad62939e
[next-0.10] bump version number to 1.0 2024-03-28 15:19:44 +01:00
8bfc16ba7d
Merge branch 'main' into next-0.10 2024-03-28 15:01:05 +01:00
ecf641d88c Merge pull request 'Fix unbounded buffering when one node has slower network' (#792) from fix-buffering into main
Reviewed-on: Deuxfleurs/garage#792
2024-03-28 12:40:27 +00:00
75cd14926d Merge pull request 'CI: properly cleanup between garage integration tests' (#793) from fix-ci into main
Reviewed-on: Deuxfleurs/garage#793
2024-03-28 12:37:18 +00:00
e1dc84e123
[fix-ci] CI: properly cleanup between garage integration tests 2024-03-28 13:08:42 +01:00
85f580cbde
[fix-buffering] change request sending strategy and fix priorities
remove LAS, priorize new requests but otherwise just do standard queuing
2024-03-27 16:22:40 +01:00
0d3e285d13
[fix-buffering] implement block_ram_buffer_max to avoid excessive RAM usage 2024-03-27 16:22:40 +01:00
25c196f34d
[next-0.10] admin api: fix logic in get cluster status 2024-03-27 13:55:49 +01:00
4eba32f29f
[next-0.10] layout helper: rename & clarify updates to update trackers 2024-03-27 13:47:06 +01:00
32f1786f9f
[next-0.10] cache layout check result 2024-03-27 13:37:20 +01:00
01a0bd5410
[next-0.10] remove impl Deref for LayoutHelper 2024-03-27 13:32:13 +01:00
c0eeb0b0f3
[next-0.10] fixes to k2v rpc + comment fixes 2024-03-27 10:44:03 +01:00
51d11b4b26
[next-0.10] doc: 2 changes
- rewrite section on encryption to mention SSE-C
- change to real-world to make it closer to main branch
2024-03-27 10:10:45 +01:00
f7cd4eb600
Merge branch 'main' into next-0.10 2024-03-26 16:34:40 +01:00
95eb8808e8 Merge pull request 'Disable more K2V tests' (#791) from disable-k2v-test into main
Reviewed-on: Deuxfleurs/garage#791
2024-03-26 15:33:46 +00:00
e0a4fc097a
[disable-k2v-test] remove obsolete k2v test script 2024-03-26 16:24:44 +01:00
73551e9a2d
[disable-k2v-test] disable the other k2v poll test 2024-03-26 16:24:26 +01:00
80f81fa6f3 Merge pull request '[disable-k2v-test] disable tests::k2v::test_poll_item as it is not 100% reliable' (#789) from disable-k2v-test into main
Reviewed-on: Deuxfleurs/garage#789
2024-03-26 14:57:46 +00:00
f267609343
[disable-k2v-test] disable tests::k2v::test_poll_item as it is not 100% reliable 2024-03-26 15:39:17 +01:00
cdde0f19ee Merge pull request 'checksum algorithms' (#787) from s3-checksum into next-0.10
Reviewed-on: Deuxfleurs/garage#787
2024-03-26 14:24:58 +00:00
74949c69cb
[s3-checksum] implement x-amz-checksum-* headers 2024-03-26 15:01:34 +01:00
7e0107c47d Merge pull request 'Fixes to garage_net peering manager' (#786) from net-fixes into next-0.10
Reviewed-on: Deuxfleurs/garage#786
2024-03-21 10:26:36 +00:00
3844110cd0
[net-fixes] netapp peer exchange: send only currently connected address 2024-03-21 10:50:44 +01:00
961b4f9af3
[net-fixes] fix issues with local peer address (fix #761) 2024-03-21 10:45:34 +01:00
5225a81dee
[net-fixes] peering: only count node IDs and not addresses in hash 2024-03-21 09:47:04 +01:00
e835196940 Merge pull request 'Add marker files in data directories (fix #601)' (#785) from check-data-dir into main
Reviewed-on: Deuxfleurs/garage#785
2024-03-20 16:53:47 +00:00
ba33bb31f1
[check-data-dir] add marker files in data directories (fix #601) 2024-03-20 15:20:25 +01:00
30abf7e086 Merge pull request 'Add support to logging to syslog (based on patch by @jirutka)' (#784) from syslog into main
Reviewed-on: Deuxfleurs/garage#784
2024-03-20 13:54:18 +00:00
84018be862
[syslog] warning when syslog support is not enabled 2024-03-20 14:39:04 +01:00
091e693670
[syslog] document environment variables 2024-03-20 14:39:04 +01:00
fe8a7819fa
[syslog] Add support to logging to syslog
Original patch by Jakub Jirutka for Alpine Linux port.
2024-03-20 14:22:18 +01:00
ce69dc302c
Merge branch 'main' into next-0.10 2024-03-19 17:17:46 +01:00
26310f3242 Merge pull request 'CLI: allow manipulating buckets by prefixes of their full IDs' (#783) from bucket-id-prefix into main
Reviewed-on: Deuxfleurs/garage#783
2024-03-19 16:17:16 +00:00
65853a4863 Merge pull request 'block refcount repair' (#782) from block-ref-repair into next-0.10
Reviewed-on: Deuxfleurs/garage#782
2024-03-19 15:59:19 +00:00
783b586de9
[bucket-id-prefix] CLI: allow manipulating buckets by prefixes of their full IDs 2024-03-19 16:57:51 +01:00
3eab639c14
[block-ref-repair] mention garage block repair-rc in documentation 2024-03-19 16:24:34 +01:00
3165ab926c
[block-ref-repair] rename rc's rc field to rc_table 2024-03-19 16:20:22 +01:00
dc0b78cdb8
[block-ref-repair] Block refcount recalculation and repair
- We always recalculate the reference count of a block before deleting
  it locally, to make sure that it is indeed zero.

- If we had to fetch a remote block but we were not able to get it,
  check that refcount is indeed > 0.

- Repair procedure that checks everything
2024-03-19 16:20:22 +01:00
693b89b94b Merge pull request 'Update WinSCP link in documentation' (#781) from stefano/garage:main into main
Reviewed-on: Deuxfleurs/garage#781
2024-03-19 09:34:16 +00:00
cf344d73d5 Update WinSCP link in documentation
Update link to new wiki location. See Deuxfleurs/garage#780
2024-03-19 09:21:50 +00:00
0038ca8a78
Merge branch 'main' into next-0.10 2024-03-18 20:19:30 +01:00
1a0bffae34 Merge pull request 'Use connection pooling in sqlite backend' (#779) from sqlite-r2d2 into main
Reviewed-on: Deuxfleurs/garage#779
2024-03-18 19:02:36 +00:00
b55f52a9b7
[sqlite-r2d2] run integration test with all db engines 2024-03-18 18:31:35 +01:00
e8f9718ccd
[sqlite-r2d2] implement connection pooling in sqlite backend 2024-03-18 18:05:25 +01:00
fd2e19bf1b Merge pull request 'metadata db snapshotting' (#775) from db-snapshot into main
Reviewed-on: Deuxfleurs/garage#775
2024-03-15 13:17:53 +00:00
8cf3d24875
[db-snapshot] documentation for metadata db snapshots 2024-03-15 13:51:31 +01:00
a68c37555d
[db-snapshot] add garage meta snapshot cli operation 2024-03-15 13:51:31 +01:00
1e42808a59
[db-snapshot] implement meta_auto_snapshot_interval 2024-03-15 13:51:31 +01:00
8dff278b72
[db-snapshot] Implement db snapshotting logic in garage_db 2024-03-15 10:57:22 +01:00
a80ce6ab5a Merge pull request 'disable_scrub configuration option' (#774) from disable-scrub into main
Reviewed-on: Deuxfleurs/garage#774
2024-03-15 09:22:33 +00:00
990205dc3b
[disable-scrub] document disable_scrub config option 2024-03-14 17:01:16 +01:00
7c86ff6c37
[disable-scrub] implement a disable_scrub configuration option 2024-03-14 17:01:16 +01:00
62b01d8705 Merge pull request 'Doc: be slightly more critical of LMDB' (#773) from doc-updates into main
Reviewed-on: Deuxfleurs/garage#773
2024-03-14 15:43:30 +00:00
422d45b659
[doc-updates] from source: fix default feature list 2024-03-14 16:35:15 +01:00
a7dddebedd
[doc-updates] doc: be slightly more critical of LMDB 2024-03-14 16:31:22 +01:00
81191d2d92 Merge pull request 'Remove Sled' (#767) from rm-sled into next-0.10
Reviewed-on: Deuxfleurs/garage#767
2024-03-12 10:45:57 +00:00
2795b53b8b
[rm-sled] factorize some code in sqlite backend 2024-03-12 11:15:26 +01:00
32aa246300
[rm-sled] Make proper use of pinning in LMDB adapter + comment unsafe 2024-03-08 17:39:17 +01:00
b942949940
[rm-sled] Implement iterators in sqlite & lmdb transactions
with way too much unsafe code
2024-03-08 16:38:01 +01:00
66c23890c1
[rm-sled] Implement some missing functionality in garage_db 2024-03-08 16:02:58 +01:00
05c92204ec
[rm-sled] Remove counted_tree_hack 2024-03-08 15:09:57 +01:00
2128b5febd Merge pull request 'Remove migration path from Garage v0.5' (#766) from rm-migration into next-0.10
Reviewed-on: Deuxfleurs/garage#766
2024-03-08 13:43:42 +00:00
44454aac01
[rm-sled] Remove the Sled database engine 2024-03-08 14:11:02 +01:00
1ace34adbb
Merge branch 'main' into next-0.10 2024-03-08 13:57:10 +01:00
238545e564 Merge pull request 'Refactoring of db engines' (#765) from factor-db-open into main
Reviewed-on: Deuxfleurs/garage#765
2024-03-08 12:56:40 +00:00
f537f76681
[rm-migration] Remove migration path from Garage v0.5 2024-03-08 13:24:47 +01:00
ec34728b27
[factor-db-open] Combine logic for opening db engines 2024-03-08 12:58:17 +01:00
20c0b4ffb2 Merge pull request 'ReplicationMode -> ConsistencyMode+ReplicationFactor' (#750) from yuka/garage:split-consistency-mode into next-0.10
Reviewed-on: Deuxfleurs/garage#750
2024-03-07 16:32:52 +00:00
2fd13c7d13 Merge pull request 'SSE-C encryption' (#730) from sse-c into next-0.10
Reviewed-on: Deuxfleurs/garage#730
2024-03-07 15:21:37 +00:00
3fcb54e3cf
[sse-c] Remove special case for Content-Type header 2024-03-07 15:43:48 +01:00
e3333f2ac5
[sse-c] Documentation for SSE-C 2024-03-07 15:43:48 +01:00
fa4878bad6
[sse-c] Testing for SSE-C encryption 2024-03-07 15:43:48 +01:00
57acc60082
[sse-c] Implement SSE-C encryption 2024-03-07 15:43:47 +01:00
fe2dc5d51c
Merge branch 'main' into next-0.10 2024-03-07 14:00:34 +01:00
afee8c2207 Merge pull request 'allow utf-8 in headers + add test for object metadata' (#763) from unicode-headers into main
Reviewed-on: Deuxfleurs/garage#763
2024-03-07 12:54:07 +00:00
eab2b81be2
[unicode-headers] allow utf-8 in headers + add test for object metadata 2024-03-07 13:42:01 +01:00
Yureka
c1769bbe69 ReplicationMode -> ConsistencyMode+ReplicationFactor 2024-03-07 12:45:33 +01:00
Yureka
8f86af52ed adjust docs for replication factor 2024-03-05 22:57:08 +01:00
603604cdfc Merge pull request 'refactor: remove max_write_errors and max_faults' (#760) from yuka/garage:remove-max-write-errors into next-0.10
Reviewed-on: Deuxfleurs/garage#760
2024-03-05 21:56:17 +00:00
Yureka
6760895926 refactor: remove max_write_errors and max_faults 2024-03-04 18:39:56 +01:00
bbde9bc912
Merge branch 'main' into next-0.10 2024-03-04 15:56:10 +01:00
3168bb34a0 Merge pull request 'add request context helper' (#751) from yuka/garage:req-ctx into main
Reviewed-on: Deuxfleurs/garage#751
2024-03-04 14:51:05 +00:00
512933a036 Merge pull request 'Garage v0.9.3' (#757) from rel-0.9.3 into main
Reviewed-on: Deuxfleurs/garage#757
2024-03-04 13:26:47 +00:00
8670140358
[rel-0.9.3] Bump version to 0.9.3 2024-03-04 14:00:55 +01:00
5bb69a1257 Merge pull request 'Add API test + fix presigned requests' (#756) from test-presigned into main
Reviewed-on: Deuxfleurs/garage#756
2024-03-04 12:56:02 +00:00
c8e416aaa5
[test-presigned] Use a HeaderMap type for QueryMap 2024-03-04 13:33:14 +01:00
Yureka
fb55682c66 add request context helper 2024-03-04 13:26:39 +01:00
c94bf45cba
Store original-cased query keys alongside query values 2024-03-04 13:03:27 +01:00
7c4f3473af
Lowercase query parameter keys when parsing 2024-03-04 13:03:16 +01:00
b6a91e549b
[test-presigned] Add API test for presigned requests 2024-03-04 13:02:07 +01:00
32d6b4def8 Merge pull request 'Add talk on 2024-02-09 at capitoul.org' (#755) from talk-capitoul into main
Reviewed-on: Deuxfleurs/garage#755
2024-03-04 11:08:23 +00:00
c4de471de1 Merge pull request 'doc: fix typo in connect/backup.md' (#749) from Armael/garage:doc-typo into main
Reviewed-on: Deuxfleurs/garage#749
2024-03-03 13:51:38 +00:00
Armaël Guéneau
16e17375c5 doc: fix typo in connect/backup.md 2024-03-03 13:02:56 +01:00
95ab36aae7 Merge pull request 'Bump version to v0.9.2' (#747) from rel-0.9.2 into main
Reviewed-on: Deuxfleurs/garage#747
2024-03-01 16:20:28 +00:00
6a7623e90d
[rel-0.9.2] Bump version to v0.9.2 2024-03-01 16:54:39 +01:00
70b9904e91 Merge pull request 'AWS signatures v4: don't actually check Content-Type is signed' (#745) from fix-signed-headers into main
Reviewed-on: Deuxfleurs/garage#745
2024-03-01 12:50:15 +00:00
a36248a169
[fix-signed-headers] aws signatures v4: don't actually check Content-Type is signed
This page of the AWS docs indicate that Content-Type should be part of
the CanonicalHeaders (and therefore SignedHeaders) strings in signature
calculation:

https://docs.aws.amazon.com/AmazonS3/latest/API/sig-v4-header-based-auth.html

However, testing with Minio Client revealed that it did not sign the
Content-Type header, and therefore we broke CI by expecting it to be
signed. With this commit, we don't mandate Content-Type to be signed
anymore, for better compatibility with the ecosystem. Testing against
the official behavior of S3 on AWS has not been done.
2024-03-01 13:12:18 +01:00
b8c7a560ef Merge pull request 'Fix potential timing side-channels in authentication mechanisms' (#737) from fix-auth-ct-eq into main
Reviewed-on: Deuxfleurs/garage#737
2024-02-29 14:04:38 +00:00
d3cf560e5c Merge pull request 'Docs: add default metrics_token in quick start + uniformize use of base64' (#739) from doc-default-token into main
Reviewed-on: Deuxfleurs/garage#739
2024-02-29 12:20:24 +00:00
73b11eb17c
[doc-default-token] add default metrics_token in quick start + uniformize use of base64 2024-02-29 13:17:36 +01:00
6d33e721c4
[fix-auth-ct-eq] use consant time comparison for awsv4 signature verification 2024-02-29 13:07:18 +01:00
eaac4924ef
[fix-auth-ct-eq] use argon2 hashing and verification for admin/metrics token checking 2024-02-29 13:07:15 +01:00
02005055ae Merge pull request 'Mention deduplication and compression in features page' (#736) from doc-dedup into main
Reviewed-on: Deuxfleurs/garage#736
2024-02-28 12:49:26 +00:00
a294dd9473
[doc-dedup] reorder features, move no-RAFT down 2024-02-28 13:48:45 +01:00
947973982d
[doc-dedup] fix #rpc_bind_outgoing anchor in config page 2024-02-28 13:45:30 +01:00
dc995059aa
[doc-dedup] mention deduplication and compression in features page 2024-02-28 13:43:30 +01:00
10031a3a91 Merge pull request 'Split presigned signature verification + fix conditions' (#735) from fix-presigned into main
Reviewed-on: Deuxfleurs/garage#735
2024-02-28 11:38:00 +00:00
90cab5b8f2
[fix-presigned] add comments and reorganize 2024-02-28 12:24:21 +01:00
e9f759d4cb
[fix-presigned] presigned requests: allow x-amz-* query parameters to stand in for equivalent headers 2024-02-28 12:24:21 +01:00
a5e4bfeae9
[fix-presigned] write comments 2024-02-28 12:24:21 +01:00
4c1d42cc5f
[fix-presigned] add back anonymous request code path + refactoring 2024-02-28 12:24:21 +01:00
2efa9c5a1a
[fix-presigned] PostObject: verify X-Amz-Algorithm 2024-02-28 12:24:20 +01:00
a8cb8e8a8b
[fix-presigned] split presigned/normal signature verification 2024-02-28 12:24:13 +01:00
d0d95fd53f
[next-0.10] woodpecker: run debug pipeline on manual trigger 2024-02-27 10:13:09 +01:00
4b978b7533
Merge branch 'main' into next-0.10 2024-02-26 18:55:24 +01:00
911a83ea7d Merge pull request 'rewrite read_and_put_block as a series of steps with channels' (#734) from refactor-put into main
Reviewed-on: Deuxfleurs/garage#734
2024-02-26 17:52:45 +00:00
b76c0c102e
[refactor-put] add ordering tag to blocks being sent to storage nodes 2024-02-26 18:35:11 +01:00
babccd2ad3
[refactor-put] send several blocks in parallel to storage nodes 2024-02-26 18:22:37 +01:00
3fe94cc14f
[refactor-put] rewrite read_and_put_block as a series of steps with channels 2024-02-26 17:55:37 +01:00
ee2b0c8dda
[talk-capitoul] Add talk on 2024-02-09 at capitoul.org 2024-02-26 13:42:47 +01:00
17b55205aa Merge pull request 'doc: reverse-proxy.md: Added section on caddy-fs-s3' (#733) from jpds/garage:caddy-fileserver-browse-s3 into main
Reviewed-on: Deuxfleurs/garage#733
2024-02-26 09:56:09 +00:00
Jonathan Davies
3813e6c71d doc: reverse-proxy.md: Added section on caddy-fs-s3. 2024-02-26 00:54:33 +00:00
3692af7052
Merge branch 'main' into next-0.10 2024-02-23 18:28:05 +01:00
e399b60e25 Merge pull request 'GetObject: split out handle_get_full (small refactoring)' (#732) from split_getobject into main
Reviewed-on: Deuxfleurs/garage#732
2024-02-23 17:26:53 +00:00
d640102b76
[split_getobject] GetObject: split out handle_get_full 2024-02-23 18:14:50 +01:00
916c67ccf4
Merge branch 'main' into next-0.10 2024-02-23 16:50:34 +01:00
61758ce0f9 Merge pull request 'some refactoring on data read/write path' (#729) from refactor-block into main
Reviewed-on: Deuxfleurs/garage#729
2024-02-23 15:49:43 +00:00
6ee691e65f
[refactor-block] simplify some more 2024-02-23 12:50:10 +01:00
e9c42bca34
[refactor-block] add DataBlockStream type 2024-02-23 12:22:29 +01:00
cd1069c1d4
[refactor-block] refactor DataBlock and DataBlockPath 2024-02-23 12:15:52 +01:00
07c7895948
[refactor-block] simplify rpc_get_block 2024-02-23 11:54:40 +01:00
9b41f4ff20
[refactor-block] move read_stream_to_end to garage_net 2024-02-23 11:46:57 +01:00
93552b9275
[refactor-block] Remove redundant BlockStream type 2024-02-23 11:33:38 +01:00
81cebdd124
[next-0.10] fix build 2024-02-22 15:53:47 +01:00
59f61c966a
Merge branch 'main' into next-0.10 2024-02-22 15:45:45 +01:00
74d0c47f21 Merge pull request 'Add node-global lock for bucket/key operations (fix #723)' (#728) from lock-createbucket into main
Reviewed-on: Deuxfleurs/garage#728
2024-02-22 12:05:19 +00:00
cff702a951
[lock-createbucket] Add node-global lock for bucket/key operations (fix #723) 2024-02-22 12:28:21 +01:00
7e212e20e0 Merge pull request 'Minor typos & grammar fixes in docs' (#727) from hartraft/garage:docs-typo-fix into main
Reviewed-on: Deuxfleurs/garage#727
2024-02-22 09:26:08 +00:00
hartraft
00a5f14a7b Align admin endpoint port 2024-02-20 21:19:00 +01:00
hartraft
1a07c8dd54 Minor typos and grammar 2024-02-20 21:03:39 +01:00
292f4ff9cb Typo
Fix small typo on the getting started guide
2024-02-20 18:35:56 +00:00
75e591727d
[next-0.10] cluster node status metrics: report nodes of all active layout versions 2024-02-20 17:08:31 +01:00
643d1aabd8
Merge branch 'main' into next-0.10 2024-02-20 17:02:44 +01:00
885405d944 Merge pull request 'system metrics improvements' (#726) from peer-metrics into main
Reviewed-on: Deuxfleurs/garage#726
2024-02-20 15:35:12 +00:00
bcd571ef57
[peer-metrics] add documentation for new cluster status metrics 2024-02-20 14:59:04 +01:00
b868493da9
[peer-metrics] add basic cluster node status metrics (fix #545) 2024-02-20 14:50:24 +01:00
182a23cc12
[peer-metrics] refactor SystemMetrics to hold a reference to System 2024-02-20 14:20:58 +01:00
3cdf69f079
[peer-metrics] Add metrics for cluster health, like GetClusterHealth admin API 2024-02-20 13:50:45 +01:00
00d479358d
[peer-metrics] refactor/simplify SystemMetrics 2024-02-20 13:50:45 +01:00
203bb10035 Merge pull request 'Filter nodes Garage tries to connect to' (#719) from reconnect-only-current into main
Reviewed-on: Deuxfleurs/garage#719
2024-02-20 10:37:11 +00:00
e91576677e
[reconnect-only-current] filter nodes to reconnect to
do not try reconnecting to nodes received from consul/kubernetes
discovery if they are not currently in the layout
2024-02-20 11:07:10 +01:00
0b9859befa Merge pull request 'garage_net: retry connecting when new IP is learned' (#724) from networking-fixes into main
Reviewed-on: Deuxfleurs/garage#724
2024-02-19 17:37:01 +00:00
95e3a39b4d
[networking-fixes] small refactoring in garage_net peering 2024-02-19 18:12:21 +01:00
66fe893023
[networking-fixes] garage_net: retry connecting when new IP is learned 2024-02-19 18:12:21 +01:00
6bb34899f2 Merge pull request 'fixes to RPC networking' (#721) from networking-fixes into main
Reviewed-on: Deuxfleurs/garage#721
2024-02-19 11:44:05 +00:00
eab54b3798
[networking-fixes] add doc for rpc_bind_outgoing 2024-02-19 11:45:44 +01:00
b96f84b894
[networking-fixes] add option to bind outgoing RPC sockets (fix #638)
Thanks to yuka for the original patch.
2024-02-19 11:45:44 +01:00
f0bbad2db9
[networking-fixes] use rpc_public_addr in netapp's HelloMessage 2024-02-19 11:45:44 +01:00
b8217361c0 Merge pull request 'doc: fixes to index of configuration options' (#722) from doc-fixes into main
Reviewed-on: Deuxfleurs/garage#722
2024-02-19 10:45:14 +00:00
e73cb79e1e
[doc-fixes] configuration reference: fix typo and set block size in M 2024-02-19 11:42:06 +01:00
e54effec45
[doc-fixes] fixes to index of configuration options 2024-02-19 11:36:22 +01:00
eb4a6ce106
Merge branch 'main' into next-0.10 2024-02-15 14:06:34 +01:00
7be3f15e45 Merge pull request 'import Netapp code into Garage codebase' (#717) from import-netapp into main
Reviewed-on: Deuxfleurs/garage#717
2024-02-15 12:51:52 +00:00
125c662860
[import-netapp] move and rename FullMeshPeeringSrategy to PeeringManager 2024-02-15 12:15:35 +01:00
5766befb24
[import-netapp] fix tests 2024-02-15 12:15:33 +01:00
5ea24254a9
[import-netapp] import Netapp code into Garage codebase 2024-02-15 12:15:07 +01:00
a2ab275da8 Merge pull request 'Fix cargo warnings in Cargo.toml files' (#718) from fix-cargo-toml into main
Reviewed-on: Deuxfleurs/garage#718
2024-02-15 11:14:01 +00:00
1b0f167d2f
[fix-cargo-toml] fix cargo warnings in Cargo.toml files 2024-02-15 10:54:58 +01:00
cf2af186fc
Merge branch 'main' into next-0.10 2024-02-13 11:36:28 +01:00
823078b4cd Merge pull request 'small fixes to config/secrets handling' (#715) from fix-secrets-695 into main
Reviewed-on: Deuxfleurs/garage#715
2024-02-13 10:04:49 +00:00
ea09b483fe Merge pull request 'doc: mention warn and error as available log levels' (#716) from emilylange/garage:doc/mention-warn-error-log-levels into main
Reviewed-on: Deuxfleurs/garage#716
2024-02-13 08:13:23 +00:00
c86ac264cb
doc: mention warn and error as available log levels
For some users, this might be their first time being interacting with
the `env_logger` crate.
As such, they might not be aware that less verbose log levels exist.
Some might not want to log every incoming request, for example.

This commit also adds syntax hints to the code-fence for bash for better
syntax highlighting of that section, and repeats itself multiple times,
that `info` is, in fact, the default.

No changes to the recommendation of log levels were made.
2024-02-12 18:00:51 +01:00
bf283c9924
[fix-secrets-695] config: replace String by PathBuf for *_file 2024-02-12 15:36:43 +01:00
25e5738568
[fix-secrets-695] take into account rpc secret from file for cli commands (fix #695) 2024-02-12 10:42:17 +01:00
198188017c Merge pull request 'Implement header overriding in GetObject (fix #650)' (#713) from header-override-650 into main
Reviewed-on: Deuxfleurs/garage#713
2024-02-09 15:40:18 +00:00
02e98e2d10
[header-override-650] implement header overriding in GetObject (fix #650) 2024-02-09 15:58:46 +01:00
fe175fa8e2 Merge pull request 'garage block info: find blocks by prefix (fix #682)' (#712) from block-info-short-682 into main
Reviewed-on: Deuxfleurs/garage#712
2024-02-09 14:07:29 +00:00
3865080c35 Merge pull request 'Allow multi-character delimiters in List* (fix #692)' (#711) from multi-char-delimiter-692 into main
Reviewed-on: Deuxfleurs/garage#711
2024-02-09 13:38:17 +00:00
8da67b3aa2
[block-info-short-682] garage block info: find blocks by prefix (fix #682) 2024-02-09 14:35:53 +01:00
10bc2ead60
[multi-char-delimiter-692] allow multi-character delimiters in List* (fix #692) 2024-02-09 14:15:29 +01:00
0c7ce001c9 Merge pull request 'Fix & simplify CI using Woodpecker' (#706) from nix-improvements into main
Reviewed-on: Deuxfleurs/garage#706
2024-02-09 12:11:23 +00:00
f7ae966ed3
[nix-improvements] special case for Docker's "386" architecture 2024-02-09 12:49:17 +01:00
561fad0b44
[nix-improvements] get rid of Drone 2024-02-09 12:19:16 +01:00
1be75fbf4e
[nix-improvements] fix kaniko and manifest-tool 2024-02-09 11:46:46 +01:00
555ed75548
[nix-improvements] ci: check static as separate step 2024-02-09 11:36:51 +01:00
1c85e5e428
[nix-improvements] adapt woodpecker pipelines 2024-02-09 11:19:32 +01:00
d35d4599de
[nix-improvements] use kaniko and manifest-tools from nixpkgs, simplify 2024-02-09 11:15:52 +01:00
9900368380
[nix-improvements] modernize Nix infrastructure 2024-02-09 11:10:13 +01:00
e4a43bfd59 Merge pull request 'Upgrade toml, kube, k8s-openapi + code fixes' (#709) from dep-upgrade-202402 into main
Reviewed-on: Deuxfleurs/garage#709
2024-02-09 09:32:54 +00:00
5c63193d1d
[dep-upgrade-202402] fix shutdown issue introduced when upgrading hyper 2024-02-08 23:43:59 +01:00
bcbd15da84
[dep-upgrade-202402] cargo clippy fixes 2024-02-08 23:29:57 +01:00
ad5ce968d2
[dep-upgrade-202402] remove useless mut 2024-02-08 23:29:57 +01:00
c2e1e172d4
[dep-upgrade-202402] update toml, kube and k8s-openapi 2024-02-08 23:29:56 +01:00
8061bf5e1c Merge pull request 'Use only oxalica/rust-overlay toolchain and not nixpkgs' (#710) from oxalica-toolchain-only into main
Reviewed-on: Deuxfleurs/garage#710
2024-02-08 22:29:25 +00:00
8724aabdf5
[oxalica-toolchain-only] remove obsolete comment on toolchains 2024-02-08 23:23:27 +01:00
57024a2129
[oxalica-toolchain-only] remove custom toolchains from toolchains.nix 2024-02-08 23:21:00 +01:00
9e0b1dcf1c
[oxalica-toolchain-only] remove use of nixos rust toolchain 2024-02-08 19:10:26 +01:00
304a89c57b Merge pull request 'convert drone pipelines to woodpecker' (#708) from woodpecker into main
Reviewed-on: Deuxfleurs/garage#708
2024-02-08 17:46:00 +00:00
25c2f37667
[woodpecker] remove upgrade test on i386 2024-02-08 18:42:26 +01:00
4e62e86644
[woodpecker] disable docker image generation as auth is broken for now 2024-02-08 18:27:33 +01:00
8b6a44a53d
[woodpecker] convert drone pipelines to woodpecker 2024-02-08 18:24:52 +01:00
710680da15 Merge pull request 'update toolchain' (#705) from dep-upgrade-202402 into main
Reviewed-on: Deuxfleurs/garage#705
2024-02-08 14:58:18 +00:00
33e6db8b72
[dep-upgrade-202402] update rustc to 1.73 2024-02-08 12:33:09 +01:00
3a49f86073 Merge pull request 'Enable LTO for release builds using Nix' (#707) from lto-nix into main
Reviewed-on: Deuxfleurs/garage#707
2024-02-08 10:36:49 +00:00
2b92e8d7c6
[lto-nix] enable LTO for release builds using Nix 2024-02-08 10:22:23 +01:00
59930977e0 Merge pull request 'Cargo.toml: Enable full LTO in release builds and thin in dev builds.' (#704) from jpds/garage:release-build-lto into main
Reviewed-on: Deuxfleurs/garage#704
2024-02-07 16:37:02 +00:00
Jonathan Davies
620664ee9c Cargo.toml: Enable full LTO in release builds and thin in dev builds. 2024-02-07 16:11:27 +00:00
5d941e0100 Merge pull request 'Dependency upgrades: http, hyper, aws-sdk, smaller deps' (#703) from dep-upgrade-202402 into main
Reviewed-on: Deuxfleurs/garage#703
2024-02-07 14:59:40 +00:00
e011941964
[dep-upgrade-202402] refactor use of BodyStream 2024-02-07 15:32:51 +01:00
53746b59e5
[dep-upgrade-202402] slightly more explicit error management 2024-02-07 14:53:13 +01:00
a31d1bd496
[dep-upgrade-202402] fix obsolete DateTime::from_utc calls 2024-02-07 14:48:27 +01:00
e524e7a30d
[dep-upgrade-202402] rename BytesBody into ErrorBody for clarity 2024-02-07 14:45:52 +01:00
fe48d60d2b
[dep-upgrade-202402] refactor http listener code 2024-02-07 14:34:40 +01:00
22332e6c35
[dep-upgrade-202402] simplify/refactor GetObject 2024-02-05 20:26:33 +01:00
81ccd4586e
[dep-upgrade-202402] upgrade to http/hyper 1.x for tests 2024-02-05 19:57:35 +01:00
a22bd31920
[dep-upgrade-202402] migration to http/hyper 1.0 for k2v api 2024-02-05 19:27:12 +01:00
0bb5b77530
[dep-upgrade-202402] wip: port to http/hyper crates v1 2024-02-05 18:49:54 +01:00
6e69a1fffc
[dep-upgrade-202402] prepare migration to http/hyper 1.0 2024-02-05 14:44:12 +01:00
6e4229e29c
[dep-upgrade-202402] update aws-sdk dependencies 2024-02-05 14:02:45 +01:00
c0a7552015
[dep-upgrade-202402] upgrade easy dependencies 2024-02-05 13:58:23 +01:00
fe1af5d98b
[dep-upgrade-202402] refactor dependencies: move all as workspace deps 2024-02-05 13:02:02 +01:00
f65da26ae2
[dep-upgrade-202402] update dependency minor versions using cargo update 2024-02-05 12:26:31 +01:00
feeb076b7f Merge pull request 'Add FOSDEM'24 talk' (#702) from talk-fosdem-24 into main
Reviewed-on: Deuxfleurs/garage#702
2024-02-05 11:17:15 +00:00
fe37202f8f
[talk-fosdem-24] remove abstract.md 2024-02-05 12:16:09 +01:00
76e09c0472
[talk-fosdem-24] small change in talk 2024-02-01 11:43:21 +01:00
1d30cf36c8
[talk-fosdem-24] improve fosdem 24 talk 2024-01-30 14:27:39 +01:00
d45189e7b8 Merge pull request 'doc: fix some typos' (#696) from Armael/garage:typos into main
Reviewed-on: Deuxfleurs/garage#696
2024-01-28 14:15:47 +00:00
Armaël Guéneau
91a51dd3e8 doc: fix some typos 2024-01-27 14:51:15 +01:00
c7dad980b7
[talk-fosdem-24] remove geodistrib paper shot 2024-01-23 17:25:45 +01:00
c2541f280c
[talk-fosdem-24] WIP, write talk, modify lots of assets 2024-01-23 16:50:30 +01:00
4de7ac6023
FOSDEM'24 talk WIP 2024-01-22 18:52:14 +01:00
db48dd3d6c
bump crate versions to 0.10.0 2024-01-11 12:05:51 +01:00
8a6ec1d611 Merge pull request 'NLnet task 3' (#667) from nlnet-task3 into next-0.10
Reviewed-on: Deuxfleurs/garage#667
2024-01-11 10:58:08 +00:00
0041b013a4
layout: refactoring and fix in layout helper 2023-12-11 16:09:22 +01:00
adccce1145
layout: refactor/fix bad while loop 2023-12-11 15:45:14 +01:00
85b5a6bcd1
fix some clippy lints 2023-12-11 15:31:47 +01:00
e4f493b481
table: remove redundant tracing in insert_many 2023-12-11 14:57:42 +01:00
f8df90b79b
table: fix insert_many to not send duplicates 2023-12-08 14:54:11 +01:00
4dbf254512
layout: refactoring, merge two files 2023-12-08 14:15:52 +01:00
64a6e557a4
rpc helper: small refactorings 2023-12-08 12:18:12 +01:00
5dd200c015
layout: move block_read_nodes_of to rpc_helper to avoid double-locking
(in theory, this could have caused a deadlock)
2023-12-08 12:02:24 +01:00
063294dd56
layout version: refactor get_node_zone 2023-12-08 11:50:58 +01:00
7f2541101f
cli: improvements to the layout commands when multiple layouts are live 2023-12-08 11:24:23 +01:00
91b874c4ef
rpc: fix system::health 2023-12-08 10:36:37 +01:00
431b28e0cf
fix build with discovery features 2023-12-07 15:15:59 +01:00
9cecea64d4
layout: allow sync update tracker to progress with only quorums 2023-12-07 14:51:20 +01:00
aa59059a91
layout cli: safer skip-dead-nodes command 2023-12-07 11:56:14 +01:00
d90de365b3
table sync: use write quorums to report global success or failure of sync 2023-12-07 11:16:10 +01:00
95eb13eb08
rpc: refactor result tracking for quorum sets 2023-12-07 10:57:21 +01:00
c8356a91d9
layout updates: fix the set of nodes among which minima are calculated 2023-12-07 10:30:26 +01:00
c04dd8788a
admin: more info in admin GetClusterStatus 2023-11-28 14:25:04 +01:00
539af6eac4
rpc helper: write comments + small refactoring of tracing 2023-11-28 11:12:39 +01:00
c539077d30
cli: remove historic layout info from status 2023-11-27 16:22:27 +01:00
11e6fef93c
cli: add layout history and layout assume-sync commands 2023-11-27 16:22:25 +01:00
539a920313
cli: show when nodes are draining metadata 2023-11-27 13:18:59 +01:00
78362140f5
rpc: update system::health to take into account write sets for all partitions 2023-11-27 12:10:21 +01:00
d6d239fc79
block manager: read_block using old layout versions if necessary 2023-11-27 11:52:57 +01:00
3ecd14b9f6
table: implement write sets for insert_many 2023-11-16 16:41:45 +01:00
22f38808e7
rpc_helper: don't use tokio::spawn for individual requests 2023-11-16 16:34:01 +01:00
707442f5de
layout: refactor digests and add "!=" assertions before epidemic bcast 2023-11-16 13:51:40 +01:00
ad5c6f779f
layout: split helper in separate file; more precise difference tracking 2023-11-16 13:26:43 +01:00
d4df03424f
layout: fix test 2023-11-15 15:56:57 +01:00
33c8a489b0
layou: implement ack locking 2023-11-15 15:40:44 +01:00
393c4d4515
layout: add helper for cached/external values to centralize recomputation 2023-11-15 14:20:50 +01:00
65066c7064
layout: wip cache global mins 2023-11-15 13:28:30 +01:00
acd49de9f9
rpc: fix write set quorums 2023-11-15 13:07:42 +01:00
46007bf01d
integration test: print stdout and stderr on subcommand crash 2023-11-15 12:56:52 +01:00
b3e729f4b8
layout history merge: rm invalid versions when valid versions are added 2023-11-15 12:15:58 +01:00
7ef2c23120
layout: fix test 2023-11-14 15:45:01 +01:00
90e1619b1e
table: take into account multiple write sets in inserts 2023-11-14 15:40:46 +01:00
3b361d2959
layout: prepare for write sets 2023-11-14 14:28:16 +01:00
866196750f
system: add todo wrt new layout 2023-11-14 13:36:58 +01:00
83a11374ca
layout: fixes in schema 2023-11-14 13:29:26 +01:00
1aab1f4e68
layout: refactoring of all_nodes 2023-11-14 13:12:32 +01:00
8e292e06b3
layout: some refactoring of nongateway nodes 2023-11-14 12:48:38 +01:00
9a491fa137
layout: fix test 2023-11-11 13:10:59 +01:00
df24bb806d
layout/sync: fix bugs and add tracing 2023-11-11 12:44:27 +01:00
ce89d1ddab
table sync: adapt to new layout history 2023-11-11 12:08:32 +01:00
df36cf3099
layout: add helpers to LayoutHistory and prepare integration with Table 2023-11-09 16:32:31 +01:00
9d95f6f704
layout: fix tracker bugs 2023-11-09 15:52:45 +01:00
bad7cc812e
layout admin: add missing calls to update_hash 2023-11-09 15:42:10 +01:00
03ebf18830
layout: begin managing the update tracker values 2023-11-09 15:31:59 +01:00
94caf9c0c1
layout: separate code path for synchronizing update trackers only 2023-11-09 14:53:34 +01:00
bfb1845fdc
layout: refactor to use a RwLock on LayoutHistory 2023-11-09 14:12:05 +01:00
19ef1ec8e7
layout: more refactoring 2023-11-09 13:34:14 +01:00
8a2b1dd422
wip: split out layout management from System into separate LayoutManager 2023-11-09 12:55:36 +01:00
523d2ecb95
layout: use separate CRDT for staged layout changes 2023-11-09 11:19:43 +01:00
1da0a5676e
bump garage protocol version tag to 0x000A (0.10) 2023-11-08 19:30:58 +01:00
8dccee3ccf
cluster layout: adapt all uses of ClusterLayout to LayoutHistory 2023-11-08 19:28:36 +01:00
fe9af1dcaa
WIP: garage_rpc: store layout version history 2023-11-08 17:49:06 +01:00
4a9c94514f
avoid using layout_watch in System directly 2023-11-08 16:41:00 +01:00
12d1dbfc6b
remove Ring and use ClusterLayout everywhere 2023-11-08 15:41:24 +01:00
0962313ebd
garage_rpc: reorder functions in layout.rs 2023-11-08 13:13:04 +01:00
283 changed files with 31634 additions and 10185 deletions

View file

@ -1,300 +0,0 @@
---
kind: pipeline
name: default
node:
nix-daemon: 1
steps:
- name: check formatting
image: nixpkgs/nix:nixos-22.05
commands:
- nix-shell --attr rust --run "cargo fmt -- --check"
- name: build
image: nixpkgs/nix:nixos-22.05
commands:
- nix-build --no-build-output --attr clippy.amd64 --argstr git_version ${DRONE_TAG:-$DRONE_COMMIT}
- name: unit + func tests
image: nixpkgs/nix:nixos-22.05
environment:
GARAGE_TEST_INTEGRATION_EXE: result-bin/bin/garage
GARAGE_TEST_INTEGRATION_PATH: tmp-garage-integration
commands:
- nix-build --no-build-output --attr clippy.amd64 --argstr git_version ${DRONE_TAG:-$DRONE_COMMIT}
- nix-build --no-build-output --attr test.amd64
- ./result/bin/garage_db-*
- ./result/bin/garage_api-*
- ./result/bin/garage_model-*
- ./result/bin/garage_rpc-*
- ./result/bin/garage_table-*
- ./result/bin/garage_util-*
- ./result/bin/garage_web-*
- ./result/bin/garage-*
- ./result/bin/integration-* || (cat tmp-garage-integration/stderr.log; false)
- rm result
- rm -rv tmp-garage-integration
- name: integration tests
image: nixpkgs/nix:nixos-22.05
commands:
- nix-build --no-build-output --attr clippy.amd64 --argstr git_version ${DRONE_TAG:-$DRONE_COMMIT}
- nix-shell --attr integration --run ./script/test-smoke.sh || (cat /tmp/garage.log; false)
trigger:
event:
- custom
- push
- pull_request
- tag
- cron
---
kind: pipeline
type: docker
name: release-linux-amd64
node:
nix-daemon: 1
steps:
- name: build
image: nixpkgs/nix:nixos-22.05
commands:
- nix-build --no-build-output --attr pkgs.amd64.release --argstr git_version ${DRONE_TAG:-$DRONE_COMMIT}
- nix-shell --attr rust --run "./script/not-dynamic.sh result-bin/bin/garage"
- name: integration tests
image: nixpkgs/nix:nixos-22.05
commands:
- nix-shell --attr integration --run ./script/test-smoke.sh || (cat /tmp/garage.log; false)
- name: upgrade tests
image: nixpkgs/nix:nixos-22.05
commands:
- nix-shell --attr integration --run "./script/test-upgrade.sh v0.8.4 x86_64-unknown-linux-musl" || (cat /tmp/garage.log; false)
- name: push static binary
image: nixpkgs/nix:nixos-22.05
environment:
AWS_ACCESS_KEY_ID:
from_secret: garagehq_aws_access_key_id
AWS_SECRET_ACCESS_KEY:
from_secret: garagehq_aws_secret_access_key
TARGET: "x86_64-unknown-linux-musl"
commands:
- nix-shell --attr release --run "to_s3"
- name: docker build and publish
image: nixpkgs/nix:nixos-22.05
environment:
DOCKER_AUTH:
from_secret: docker_auth
DOCKER_PLATFORM: "linux/amd64"
CONTAINER_NAME: "dxflrs/amd64_garage"
HOME: "/kaniko"
commands:
- mkdir -p /kaniko/.docker
- echo $DOCKER_AUTH > /kaniko/.docker/config.json
- export CONTAINER_TAG=${DRONE_TAG:-$DRONE_COMMIT}
- nix-shell --attr release --run "to_docker"
trigger:
event:
- promote
- cron
---
kind: pipeline
type: docker
name: release-linux-i386
node:
nix-daemon: 1
steps:
- name: build
image: nixpkgs/nix:nixos-22.05
commands:
- nix-build --no-build-output --attr pkgs.i386.release --argstr git_version ${DRONE_TAG:-$DRONE_COMMIT}
- nix-shell --attr rust --run "./script/not-dynamic.sh result-bin/bin/garage"
- name: integration tests
image: nixpkgs/nix:nixos-22.05
commands:
- nix-shell --attr integration --run ./script/test-smoke.sh || (cat /tmp/garage.log; false)
- name: upgrade tests
image: nixpkgs/nix:nixos-22.05
commands:
- nix-shell --attr integration --run "./script/test-upgrade.sh v0.8.4 i686-unknown-linux-musl" || (cat /tmp/garage.log; false)
- name: push static binary
image: nixpkgs/nix:nixos-22.05
environment:
AWS_ACCESS_KEY_ID:
from_secret: garagehq_aws_access_key_id
AWS_SECRET_ACCESS_KEY:
from_secret: garagehq_aws_secret_access_key
TARGET: "i686-unknown-linux-musl"
commands:
- nix-shell --attr release --run "to_s3"
- name: docker build and publish
image: nixpkgs/nix:nixos-22.05
environment:
DOCKER_AUTH:
from_secret: docker_auth
DOCKER_PLATFORM: "linux/386"
CONTAINER_NAME: "dxflrs/386_garage"
HOME: "/kaniko"
commands:
- mkdir -p /kaniko/.docker
- echo $DOCKER_AUTH > /kaniko/.docker/config.json
- export CONTAINER_TAG=${DRONE_TAG:-$DRONE_COMMIT}
- nix-shell --attr release --run "to_docker"
trigger:
event:
- promote
- cron
---
kind: pipeline
type: docker
name: release-linux-arm64
node:
nix-daemon: 1
steps:
- name: build
image: nixpkgs/nix:nixos-22.05
commands:
- nix-build --no-build-output --attr pkgs.arm64.release --argstr git_version ${DRONE_TAG:-$DRONE_COMMIT}
- nix-shell --attr rust --run "./script/not-dynamic.sh result-bin/bin/garage"
- name: push static binary
image: nixpkgs/nix:nixos-22.05
environment:
AWS_ACCESS_KEY_ID:
from_secret: garagehq_aws_access_key_id
AWS_SECRET_ACCESS_KEY:
from_secret: garagehq_aws_secret_access_key
TARGET: "aarch64-unknown-linux-musl"
commands:
- nix-shell --attr release --run "to_s3"
- name: docker build and publish
image: nixpkgs/nix:nixos-22.05
environment:
DOCKER_AUTH:
from_secret: docker_auth
DOCKER_PLATFORM: "linux/arm64"
CONTAINER_NAME: "dxflrs/arm64_garage"
HOME: "/kaniko"
commands:
- mkdir -p /kaniko/.docker
- echo $DOCKER_AUTH > /kaniko/.docker/config.json
- export CONTAINER_TAG=${DRONE_TAG:-$DRONE_COMMIT}
- nix-shell --attr release --run "to_docker"
trigger:
event:
- promote
- cron
---
kind: pipeline
type: docker
name: release-linux-arm
node:
nix-daemon: 1
steps:
- name: build
image: nixpkgs/nix:nixos-22.05
commands:
- nix-build --no-build-output --attr pkgs.arm.release --argstr git_version ${DRONE_TAG:-$DRONE_COMMIT}
- nix-shell --attr rust --run "./script/not-dynamic.sh result-bin/bin/garage"
- name: push static binary
image: nixpkgs/nix:nixos-22.05
environment:
AWS_ACCESS_KEY_ID:
from_secret: garagehq_aws_access_key_id
AWS_SECRET_ACCESS_KEY:
from_secret: garagehq_aws_secret_access_key
TARGET: "armv6l-unknown-linux-musleabihf"
commands:
- nix-shell --attr release --run "to_s3"
- name: docker build and publish
image: nixpkgs/nix:nixos-22.05
environment:
DOCKER_AUTH:
from_secret: docker_auth
DOCKER_PLATFORM: "linux/arm"
CONTAINER_NAME: "dxflrs/arm_garage"
HOME: "/kaniko"
commands:
- mkdir -p /kaniko/.docker
- echo $DOCKER_AUTH > /kaniko/.docker/config.json
- export CONTAINER_TAG=${DRONE_TAG:-$DRONE_COMMIT}
- nix-shell --attr release --run "to_docker"
trigger:
event:
- promote
- cron
---
kind: pipeline
type: docker
name: refresh-release-page
node:
nix-daemon: 1
steps:
- name: multiarch-docker
image: nixpkgs/nix:nixos-22.05
environment:
DOCKER_AUTH:
from_secret: docker_auth
HOME: "/root"
commands:
- mkdir -p /root/.docker
- echo $DOCKER_AUTH > /root/.docker/config.json
- export CONTAINER_TAG=${DRONE_TAG:-$DRONE_COMMIT}
- nix-shell --attr release --run "multiarch_docker"
- name: refresh-index
image: nixpkgs/nix:nixos-22.05
environment:
AWS_ACCESS_KEY_ID:
from_secret: garagehq_aws_access_key_id
AWS_SECRET_ACCESS_KEY:
from_secret: garagehq_aws_secret_access_key
commands:
- mkdir -p /etc/nix && cp nix/nix.conf /etc/nix/nix.conf
- nix-shell --attr release --run "refresh_index"
depends_on:
- release-linux-amd64
- release-linux-i386
- release-linux-arm64
- release-linux-arm
trigger:
event:
- promote
- cron
---
kind: signature
hmac: 0c4b57eb4b27b7c6a6ff21ab87f0767fe3eb90f5d95d5cbcdccf794e9d2a5d86
...

47
.woodpecker/debug.yaml Normal file
View file

@ -0,0 +1,47 @@
when:
event:
- push
- tag
- pull_request
- deployment
- cron
- manual
steps:
- name: check formatting
image: nixpkgs/nix:nixos-22.05
commands:
- nix-shell --attr devShell --run "cargo fmt -- --check"
- name: build
image: nixpkgs/nix:nixos-22.05
commands:
- nix-build --no-build-output --attr clippy.amd64 --argstr git_version ${CI_COMMIT_TAG:-$CI_COMMIT_SHA}
- name: unit + func tests
image: nixpkgs/nix:nixos-22.05
environment:
GARAGE_TEST_INTEGRATION_EXE: result-bin/bin/garage
GARAGE_TEST_INTEGRATION_PATH: tmp-garage-integration
commands:
- nix-build --no-build-output --attr clippy.amd64 --argstr git_version ${CI_COMMIT_TAG:-$CI_COMMIT_SHA}
- nix-build --no-build-output --attr test.amd64
- ./result/bin/garage_db-*
- ./result/bin/garage_api-*
- ./result/bin/garage_model-*
- ./result/bin/garage_rpc-*
- ./result/bin/garage_table-*
- ./result/bin/garage_util-*
- ./result/bin/garage_web-*
- ./result/bin/garage-*
- GARAGE_TEST_INTEGRATION_DB_ENGINE=lmdb ./result/bin/integration-* || (cat tmp-garage-integration/stderr.log; false)
- nix-shell --attr ci --run "killall -9 garage" || true
- GARAGE_TEST_INTEGRATION_DB_ENGINE=sqlite ./result/bin/integration-* || (cat tmp-garage-integration/stderr.log; false)
- rm result
- rm -rv tmp-garage-integration
- name: integration tests
image: nixpkgs/nix:nixos-22.05
commands:
- nix-build --no-build-output --attr clippy.amd64 --argstr git_version ${CI_COMMIT_TAG:-$CI_COMMIT_SHA}
- nix-shell --attr ci --run ./script/test-smoke.sh || (cat /tmp/garage.log; false)

29
.woodpecker/publish.yaml Normal file
View file

@ -0,0 +1,29 @@
when:
event:
- deployment
- cron
depends_on:
- release
steps:
- name: refresh-index
image: nixpkgs/nix:nixos-22.05
secrets:
- source: garagehq_aws_access_key_id
target: AWS_ACCESS_KEY_ID
- source: garagehq_aws_secret_access_key
target: AWS_SECRET_ACCESS_KEY
commands:
- mkdir -p /etc/nix && cp nix/nix.conf /etc/nix/nix.conf
- nix-shell --attr ci --run "refresh_index"
- name: multiarch-docker
image: nixpkgs/nix:nixos-22.05
secrets:
- docker_auth
commands:
- mkdir -p /root/.docker
- echo $DOCKER_AUTH > /root/.docker/config.json
- export CONTAINER_TAG=${CI_COMMIT_TAG:-$CI_COMMIT_SHA}
- nix-shell --attr ci --run "multiarch_docker"

70
.woodpecker/release.yaml Normal file
View file

@ -0,0 +1,70 @@
when:
event:
- deployment
- cron
matrix:
include:
- ARCH: amd64
TARGET: x86_64-unknown-linux-musl
- ARCH: i386
TARGET: i686-unknown-linux-musl
- ARCH: arm64
TARGET: aarch64-unknown-linux-musl
- ARCH: arm
TARGET: armv6l-unknown-linux-musleabihf
steps:
- name: build
image: nixpkgs/nix:nixos-22.05
commands:
- nix-build --no-build-output --attr pkgs.${ARCH}.release --argstr git_version ${CI_COMMIT_TAG:-$CI_COMMIT_SHA}
- name: check is static binary
image: nixpkgs/nix:nixos-22.05
commands:
- nix-build --no-build-output --attr pkgs.${ARCH}.release --argstr git_version ${CI_COMMIT_TAG:-$CI_COMMIT_SHA}
- nix-shell --attr ci --run "./script/not-dynamic.sh result-bin/bin/garage"
- name: integration tests
image: nixpkgs/nix:nixos-22.05
commands:
- nix-shell --attr ci --run ./script/test-smoke.sh || (cat /tmp/garage.log; false)
when:
- matrix:
ARCH: amd64
- matrix:
ARCH: i386
- name: upgrade tests
image: nixpkgs/nix:nixos-22.05
commands:
- nix-shell --attr ci --run "./script/test-upgrade.sh v0.8.4 x86_64-unknown-linux-musl" || (cat /tmp/garage.log; false)
when:
- matrix:
ARCH: amd64
- name: push static binary
image: nixpkgs/nix:nixos-22.05
environment:
TARGET: "${TARGET}"
secrets:
- source: garagehq_aws_access_key_id
target: AWS_ACCESS_KEY_ID
- source: garagehq_aws_secret_access_key
target: AWS_SECRET_ACCESS_KEY
commands:
- nix-shell --attr ci --run "to_s3"
- name: docker build and publish
image: nixpkgs/nix:nixos-22.05
environment:
DOCKER_PLATFORM: "linux/${ARCH}"
CONTAINER_NAME: "dxflrs/${ARCH}_garage"
secrets:
- docker_auth
commands:
- mkdir -p /root/.docker
- echo $DOCKER_AUTH > /root/.docker/config.json
- export CONTAINER_TAG=${CI_COMMIT_TAG:-$CI_COMMIT_SHA}
- nix-shell --attr ci --run "to_docker"

2396
Cargo.lock generated

File diff suppressed because it is too large Load diff

4962
Cargo.nix

File diff suppressed because it is too large Load diff

View file

@ -3,6 +3,7 @@ resolver = "2"
members = [ members = [
"src/db", "src/db",
"src/util", "src/util",
"src/net",
"src/rpc", "src/rpc",
"src/table", "src/table",
"src/block", "src/block",
@ -17,19 +18,135 @@ members = [
default-members = ["src/garage"] default-members = ["src/garage"]
[workspace.dependencies] [workspace.dependencies]
# Internal Garage crates
format_table = { version = "0.1.1", path = "src/format-table" } format_table = { version = "0.1.1", path = "src/format-table" }
garage_api = { version = "0.9.1", path = "src/api" } garage_api = { version = "1.0.1", path = "src/api" }
garage_block = { version = "0.9.1", path = "src/block" } garage_block = { version = "1.0.1", path = "src/block" }
garage_db = { version = "0.9.1", path = "src/db", default-features = false } garage_db = { version = "1.0.1", path = "src/db", default-features = false }
garage_model = { version = "0.9.1", path = "src/model", default-features = false } garage_model = { version = "1.0.1", path = "src/model", default-features = false }
garage_rpc = { version = "0.9.1", path = "src/rpc" } garage_net = { version = "1.0.1", path = "src/net" }
garage_table = { version = "0.9.1", path = "src/table" } garage_rpc = { version = "1.0.1", path = "src/rpc" }
garage_util = { version = "0.9.1", path = "src/util" } garage_table = { version = "1.0.1", path = "src/table" }
garage_web = { version = "0.9.1", path = "src/web" } garage_util = { version = "1.0.1", path = "src/util" }
garage_web = { version = "1.0.1", path = "src/web" }
k2v-client = { version = "0.0.4", path = "src/k2v-client" } k2v-client = { version = "0.0.4", path = "src/k2v-client" }
# External crates from crates.io
arc-swap = "1.0"
argon2 = "0.5"
async-trait = "0.1.7"
backtrace = "0.3"
base64 = "0.21"
blake2 = "0.10"
bytes = "1.0"
bytesize = "1.1"
cfg-if = "1.0"
chrono = "0.4"
crc32fast = "1.4"
crc32c = "0.6"
crypto-common = "0.1"
digest = "0.10"
err-derive = "0.3"
gethostname = "0.4"
git-version = "0.3.4"
hex = "0.4"
hexdump = "0.1"
hmac = "0.12"
idna = "0.5"
itertools = "0.12"
ipnet = "2.9.0"
lazy_static = "1.4"
md-5 = "0.10"
mktemp = "0.5"
nix = { version = "0.27", default-features = false, features = ["fs"] }
nom = "7.1"
parse_duration = "2.1"
pin-project = "1.0.12"
pnet_datalink = "0.34"
rand = "0.8"
sha1 = "0.10"
sha2 = "0.10"
timeago = { version = "0.4", default-features = false }
xxhash-rust = { version = "0.8", default-features = false, features = ["xxh3"] }
aes-gcm = { version = "0.10", features = ["aes", "stream"] }
sodiumoxide = { version = "0.2.5-0", package = "kuska-sodiumoxide" }
kuska-handshake = { version = "0.2.0", features = ["default", "async_std"] }
clap = { version = "4.1", features = ["derive", "env"] }
pretty_env_logger = "0.5"
structopt = { version = "0.3", default-features = false }
syslog-tracing = "0.3"
tracing = "0.1"
tracing-subscriber = { version = "0.3", features = ["env-filter"] }
heed = { version = "0.11", default-features = false, features = ["lmdb"] }
rusqlite = "0.31.0"
r2d2 = "0.8"
r2d2_sqlite = "0.24"
async-compression = { version = "0.4", features = ["tokio", "zstd"] }
zstd = { version = "0.13", default-features = false }
quick-xml = { version = "0.26", features = [ "serialize" ] }
rmp-serde = "1.1.2"
serde = { version = "1.0", default-features = false, features = ["derive", "rc"] }
serde_bytes = "0.11"
serde_json = "1.0"
toml = { version = "0.8", default-features = false, features = ["parse"] }
# newer version requires rust edition 2021
k8s-openapi = { version = "0.21", features = ["v1_24"] }
kube = { version = "0.88", default-features = false, features = ["runtime", "derive", "client", "rustls-tls"] }
schemars = "0.8"
reqwest = { version = "0.11", default-features = false, features = ["rustls-tls-manual-roots", "json"] }
form_urlencoded = "1.0.0"
http = "1.0"
httpdate = "1.0"
http-range = "0.1"
http-body-util = "0.1"
hyper = { version = "1.0", default-features = false }
hyper-util = { version = "0.1", features = [ "full" ] }
multer = "3.0"
percent-encoding = "2.2"
roxmltree = "0.19"
url = "2.3"
futures = "0.3"
futures-util = "0.3"
tokio = { version = "1.0", default-features = false, features = ["net", "rt", "rt-multi-thread", "io-util", "net", "time", "macros", "sync", "signal", "fs"] }
tokio-util = { version = "0.7", features = ["compat", "io"] }
tokio-stream = { version = "0.1", features = ["net"] }
opentelemetry = { version = "0.17", features = [ "rt-tokio", "metrics", "trace" ] }
opentelemetry-prometheus = "0.10"
opentelemetry-otlp = "0.10"
opentelemetry-contrib = "0.9"
prometheus = "0.13"
# used by the k2v-client crate only
aws-sigv4 = { version = "1.1" }
hyper-rustls = { version = "0.26", features = ["http2"] }
log = "0.4"
thiserror = "1.0"
# ---- used only as build / dev dependencies ----
assert-json-diff = "2.0"
rustc_version = "0.4.0"
static_init = "1.0"
aws-config = "1.1.4"
aws-sdk-config = "1.13"
aws-sdk-s3 = "1.14"
[profile.dev] [profile.dev]
#lto = "thin" # disabled for now, adds 2-4 min to each CI build
lto = "off" lto = "off"
[profile.release] [profile.release]
debug = true lto = true
codegen-units = 1
opt-level = "s"
strip = true

View file

@ -1,4 +1,4 @@
Garage [![Build Status](https://drone.deuxfleurs.fr/api/badges/Deuxfleurs/garage/status.svg?ref=refs/heads/main)](https://drone.deuxfleurs.fr/Deuxfleurs/garage) Garage [![status-badge](https://woodpecker.deuxfleurs.fr/api/badges/1/status.svg)](https://woodpecker.deuxfleurs.fr/repos/1)
=== ===
<p align="center" style="text-align:center;"> <p align="center" style="text-align:center;">

View file

@ -40,7 +40,6 @@ in {
features = [ features = [
"garage/bundled-libs" "garage/bundled-libs"
"garage/k2v" "garage/k2v"
"garage/sled"
"garage/lmdb" "garage/lmdb"
"garage/sqlite" "garage/sqlite"
]; ];

View file

@ -98,7 +98,6 @@ paths:
type: string type: string
example: example:
- "k2v" - "k2v"
- "sled"
- "lmdb" - "lmdb"
- "sqlite" - "sqlite"
- "consul-discovery" - "consul-discovery"

View file

@ -23,7 +23,7 @@ client = minio.Minio(
"GKyourapikey", "GKyourapikey",
"abcd[...]1234", "abcd[...]1234",
# Force the region, this is specific to garage # Force the region, this is specific to garage
region="region", region="garage",
) )
``` ```

View file

@ -80,6 +80,53 @@ To test your new configuration, just reload your Nextcloud webpage and start sen
*External link:* [Nextcloud Documentation > Primary Storage](https://docs.nextcloud.com/server/latest/admin_manual/configuration_files/primary_storage.html) *External link:* [Nextcloud Documentation > Primary Storage](https://docs.nextcloud.com/server/latest/admin_manual/configuration_files/primary_storage.html)
#### SSE-C encryption (since Garage v1.0)
Since version 1.0, Garage supports server-side encryption with customer keys
(SSE-C). In this mode, Garage is responsible for encrypting and decrypting
objects, but it does not store the encryption key itself. The encryption key
should be provided by Nextcloud upon each request. This mode of operation is
supported by Nextcloud and it has successfully been tested together with
Garage.
To enable SSE-C encryption:
1. Make sure your Garage server is accessible via SSL through a reverse proxy
such as Nginx, and that it is using a valid public certificate (Nextcloud
might be able to connect to an S3 server that is using a self-signed
certificate, but you will lose many hours while trying, so don't).
Configure values for `use_ssl` and `port` accordingly in your `config.php`
file.
2. Generate an encryption key using the following command:
```
openssl rand -base64 32
```
Make sure to keep this key **secret**!
3. Add the encryption key in your `config.php` file as follows:
```php
<?php
$CONFIG = array(
'objectstore' => [
'class' => '\\OC\\Files\\ObjectStore\\S3',
'arguments' => [
...
'sse_c_key' => 'exampleencryptionkeyLbU+5fKYQcVoqnn+RaIOXgo=',
...
],
],
```
Nextcloud will now make Garage encrypt files at rest in the storage bucket.
These files will not be readable by an S3 client that has credentials to the
bucket but doesn't also know the secret encryption key.
### External Storage ### External Storage
**From the GUI.** Activate the "External storage support" app from the "Applications" page (click on your account icon on the top right corner of your screen to display the menu). Go to your parameters page (also located below your account icon). Click on external storage (or the corresponding translation in your language). **From the GUI.** Activate the "External storage support" app from the "Applications" page (click on your account icon on the top right corner of your screen to display the menu). Go to your parameters page (also located below your account icon). Click on external storage (or the corresponding translation in your language).
@ -245,7 +292,7 @@ with average object size ranging from 50 KB to 150 KB.
As such, your Garage cluster should be configured appropriately for good performance: As such, your Garage cluster should be configured appropriately for good performance:
- use Garage v0.8.0 or higher with the [LMDB database engine](@documentation/reference-manual/configuration.md#db-engine-since-v0-8-0). - use Garage v0.8.0 or higher with the [LMDB database engine](@documentation/reference-manual/configuration.md#db-engine-since-v0-8-0).
With the default Sled database engine, your database could quickly end up taking tens of GB of disk space. Older versions of Garage used the Sled database engine which had issues, such as databases quickly ending up taking tens of GB of disk space.
- the Garage database should be stored on a SSD - the Garage database should be stored on a SSD
### Creating your bucket ### Creating your bucket
@ -288,6 +335,7 @@ From the [official Mastodon documentation](https://docs.joinmastodon.org/admin/t
```bash ```bash
$ RAILS_ENV=production bin/tootctl media remove --days 3 $ RAILS_ENV=production bin/tootctl media remove --days 3
$ RAILS_ENV=production bin/tootctl media remove --days 15 --prune-profiles
$ RAILS_ENV=production bin/tootctl media remove-orphans $ RAILS_ENV=production bin/tootctl media remove-orphans
$ RAILS_ENV=production bin/tootctl preview_cards remove --days 15 $ RAILS_ENV=production bin/tootctl preview_cards remove --days 15
``` ```
@ -306,8 +354,6 @@ Imports: 1.7 KB
Settings: 0 Bytes Settings: 0 Bytes
``` ```
Unfortunately, [old avatars and headers cannot currently be cleaned up](https://github.com/mastodon/mastodon/issues/9567).
### Migrating your data ### Migrating your data
Data migration should be done with an efficient S3 client. Data migration should be done with an efficient S3 client.

View file

@ -55,8 +55,8 @@ Create your key and bucket:
```bash ```bash
garage key create my-key garage key create my-key
garage bucket create backup garage bucket create backups
garage bucket allow backup --read --write --key my-key garage bucket allow backups --read --write --key my-key
``` ```
Then register your Key ID and Secret key in your environment: Then register your Key ID and Secret key in your environment:

View file

@ -259,7 +259,7 @@ duck --delete garage:/my-files/an-object.txt
## WinSCP (libs3) {#winscp} ## WinSCP (libs3) {#winscp}
*You can find instructions on how to use the GUI in french [in our wiki](https://wiki.deuxfleurs.fr/fr/Guide/Garage/WinSCP).* *You can find instructions on how to use the GUI in french [in our wiki](https://guide.deuxfleurs.fr/prise_en_main/winscp/).*
How to use `winscp.com`, the CLI interface of WinSCP: How to use `winscp.com`, the CLI interface of WinSCP:

View file

@ -53,20 +53,43 @@ and that's also why your nodes have super long identifiers.
Adding TLS support built into Garage is not currently planned. Adding TLS support built into Garage is not currently planned.
## Garage stores data in plain text on the filesystem ## Garage stores data in plain text on the filesystem or encrypted using customer keys (SSE-C)
Garage does not handle data encryption at rest by itself, and instead delegates For standard S3 API requests, Garage does not encrypt data at rest by itself.
to the user to add encryption, either at the storage layer (LUKS, etc) or on For the most generic at rest encryption of data, we recommend setting up your
the client side (or both). There are no current plans to add data encryption storage partitions on encrypted LUKS devices.
directly in Garage.
Implementing data encryption directly in Garage might make things simpler for If you are developping your own client software that makes use of S3 storage,
end users, but also raises many more questions, especially around key we recommend implementing data encryption directly on the client side and never
management: for encryption of data, where could Garage get the encryption keys transmitting plaintext data to Garage. This makes it easy to use an external
from ? If we encrypt data but keep the keys in a plaintext file next to them, untrusted storage provider if necessary.
it's useless. We probably don't want to have to manage secrets in garage as it
would be very hard to do in a secure way. Maybe integrate with an external Garage does support [SSE-C
system such as Hashicorp Vault? encryption](https://docs.aws.amazon.com/AmazonS3/latest/userguide/ServerSideEncryptionCustomerKeys.html),
an encryption mode of Amazon S3 where data is encrypted at rest using
encryption keys given by the client. The encryption keys are passed to the
server in a header in each request, to encrypt or decrypt data at the moment of
reading or writing. The server discards the key as soon as it has finished
using it for the request. This mode allows the data to be encrypted at rest by
Garage itself, but it requires support in the client software. It is also not
adapted to a model where the server is not trusted or assumed to be
compromised, as the server can easily know the encryption keys. Note however
that when using SSE-C encryption, the only Garage node that knows the
encryption key passed in a given request is the node to which the request is
directed (which can be a gateway node), so it is easy to have untrusted nodes
in the cluster as long as S3 API requests containing SSE-C encryption keys are
not directed to them.
Implementing automatic data encryption directly in Garage without client-side
management of keys (something like
[SSE-S3](https://docs.aws.amazon.com/AmazonS3/latest/userguide/UsingServerSideEncryption.html))
could make things simpler for end users that don't want to setup LUKS, but also
raises many more questions, especially around key management: for encryption of
data, where could Garage get the encryption keys from? If we encrypt data but
keep the keys in a plaintext file next to them, it's useless. We probably don't
want to have to manage secrets in Garage as it would be very hard to do in a
secure way. At the time of speaking, there are no plans to implement this in
Garage.
# Adding data encryption using external tools # Adding data encryption using external tools

View file

@ -90,6 +90,6 @@ The following feature flags are available in v0.8.0:
| `kubernetes-discovery` | optional | Enable automatic registration and discovery<br>of cluster nodes through the Kubernetes API | | `kubernetes-discovery` | optional | Enable automatic registration and discovery<br>of cluster nodes through the Kubernetes API |
| `metrics` | *by default* | Enable collection of metrics in Prometheus format on the admin API | | `metrics` | *by default* | Enable collection of metrics in Prometheus format on the admin API |
| `telemetry-otlp` | optional | Enable collection of execution traces using OpenTelemetry | | `telemetry-otlp` | optional | Enable collection of execution traces using OpenTelemetry |
| `sled` | *by default* | Enable using Sled to store Garage's metadata | | `syslog` | optional | Enable logging to Syslog |
| `lmdb` | optional | Enable using LMDB to store Garage's metadata | | `lmdb` | *by default* | Enable using LMDB to store Garage's metadata |
| `sqlite` | optional | Enable using Sqlite3 to store Garage's metadata | | `sqlite` | *by default* | Enable using Sqlite3 to store Garage's metadata |

View file

@ -18,7 +18,7 @@ api_bind_addr = "0.0.0.0:3903"
``` ```
This will allow anyone to scrape Prometheus metrics by fetching This will allow anyone to scrape Prometheus metrics by fetching
`http://localhost:3093/metrics`. If you want to restrict access `http://localhost:3903/metrics`. If you want to restrict access
to the exported metrics, set the `metrics_token` configuration value to the exported metrics, set the `metrics_token` configuration value
to a bearer token to be used when fetching the metrics endpoint. to a bearer token to be used when fetching the metrics endpoint.

View file

@ -53,9 +53,9 @@ to store 2 TB of data in total.
### Best practices ### Best practices
- If you have fast dedicated networking between all your nodes, and are planing to store - If you have reasonably fast networking between all your nodes, and are planing to store
very large files, bump the `block_size` configuration parameter to 10 MB mostly large files, bump the `block_size` configuration parameter to 10 MB
(`block_size = 10485760`). (`block_size = "10M"`).
- Garage stores its files in two locations: it uses a metadata directory to store frequently-accessed - Garage stores its files in two locations: it uses a metadata directory to store frequently-accessed
small metadata items, and a data directory to store data blocks of uploaded objects. small metadata items, and a data directory to store data blocks of uploaded objects.
@ -68,31 +68,42 @@ to store 2 TB of data in total.
EXT4 is not recommended as it has more strict limitations on the number of inodes, EXT4 is not recommended as it has more strict limitations on the number of inodes,
which might cause issues with Garage when large numbers of objects are stored. which might cause issues with Garage when large numbers of objects are stored.
- If you only have an HDD and no SSD, it's fine to put your metadata alongside the data
on the same drive. Having lots of RAM for your kernel to cache the metadata will
help a lot with performance. Make sure to use the LMDB database engine,
instead of Sled, which suffers from quite bad performance degradation on HDDs.
Sled is still the default for legacy reasons, but is not recommended anymore.
- For the metadata storage, Garage does not do checksumming and integrity
verification on its own. If you are afraid of bitrot/data corruption,
put your metadata directory on a ZFS or BTRFS partition. Otherwise, just use regular
EXT4 or XFS.
- Servers with multiple HDDs are supported natively by Garage without resorting - Servers with multiple HDDs are supported natively by Garage without resorting
to RAID, see [our dedicated documentation page](@/documentation/operations/multi-hdd.md). to RAID, see [our dedicated documentation page](@/documentation/operations/multi-hdd.md).
- For the metadata storage, Garage does not do checksumming and integrity
verification on its own, so it is better to use a robust filesystem such as
BTRFS or ZFS. Users have reported that when using the LMDB database engine
(the default), database files have a tendency of becoming corrupted after an
unclean shutdown (e.g. a power outage), so you should take regular snapshots
to be able to recover from such a situation. This can be done using Garage's
built-in automatic snapshotting (since v0.9.4), or by using filesystem level
snapshots. If you cannot do so, you might want to switch to Sqlite which is
more robust.
- LMDB is the fastest and most tested database engine, but it has the following
weaknesses: 1/ data files are not architecture-independent, you cannot simply
move a Garage metadata directory between nodes running different architectures,
and 2/ LMDB is not suited for 32-bit platforms. Sqlite is a viable alternative
if any of these are of concern.
- If you only have an HDD and no SSD, it's fine to put your metadata alongside
the data on the same drive, but then consider your filesystem choice wisely
(see above). Having lots of RAM for your kernel to cache the metadata will
help a lot with performance. The default LMDB database engine is the most
tested and has good performance.
## Get a Docker image ## Get a Docker image
Our docker image is currently named `dxflrs/garage` and is stored on the [Docker Hub](https://hub.docker.com/r/dxflrs/garage/tags?page=1&ordering=last_updated). Our docker image is currently named `dxflrs/garage` and is stored on the [Docker Hub](https://hub.docker.com/r/dxflrs/garage/tags?page=1&ordering=last_updated).
We encourage you to use a fixed tag (eg. `v0.9.1`) and not the `latest` tag. We encourage you to use a fixed tag (eg. `v1.0.1`) and not the `latest` tag.
For this example, we will use the latest published version at the time of the writing which is `v0.9.1` but it's up to you For this example, we will use the latest published version at the time of the writing which is `v1.0.1` but it's up to you
to check [the most recent versions on the Docker Hub](https://hub.docker.com/r/dxflrs/garage/tags?page=1&ordering=last_updated). to check [the most recent versions on the Docker Hub](https://hub.docker.com/r/dxflrs/garage/tags?page=1&ordering=last_updated).
For example: For example:
``` ```
sudo docker pull dxflrs/garage:v0.9.1 sudo docker pull dxflrs/garage:v1.0.1
``` ```
## Deploying and configuring Garage ## Deploying and configuring Garage
@ -115,8 +126,9 @@ A valid `/etc/garage.toml` for our cluster would look as follows:
metadata_dir = "/var/lib/garage/meta" metadata_dir = "/var/lib/garage/meta"
data_dir = "/var/lib/garage/data" data_dir = "/var/lib/garage/data"
db_engine = "lmdb" db_engine = "lmdb"
metadata_auto_snapshot_interval = "6h"
replication_mode = "3" replication_factor = 3
compression_level = 2 compression_level = 2
@ -140,6 +152,8 @@ Check the following for your configuration files:
- Make sure `rpc_public_addr` contains the public IP address of the node you are configuring. - Make sure `rpc_public_addr` contains the public IP address of the node you are configuring.
This parameter is optional but recommended: if your nodes have trouble communicating with This parameter is optional but recommended: if your nodes have trouble communicating with
one another, consider adding it. one another, consider adding it.
Alternatively, you can also set `rpc_public_addr_subnet`, which can filter
the addresses announced to other peers to a specific subnet.
- Make sure `rpc_secret` is the same value on all nodes. It should be a 32-bytes hex-encoded secret key. - Make sure `rpc_secret` is the same value on all nodes. It should be a 32-bytes hex-encoded secret key.
You can generate such a key with `openssl rand -hex 32`. You can generate such a key with `openssl rand -hex 32`.
@ -157,7 +171,7 @@ docker run \
-v /etc/garage.toml:/etc/garage.toml \ -v /etc/garage.toml:/etc/garage.toml \
-v /var/lib/garage/meta:/var/lib/garage/meta \ -v /var/lib/garage/meta:/var/lib/garage/meta \
-v /var/lib/garage/data:/var/lib/garage/data \ -v /var/lib/garage/data:/var/lib/garage/data \
dxflrs/garage:v0.9.1 dxflrs/garage:v1.0.1
``` ```
With this command line, Garage should be started automatically at each boot. With this command line, Garage should be started automatically at each boot.
@ -171,7 +185,7 @@ If you want to use `docker-compose`, you may use the following `docker-compose.y
version: "3" version: "3"
services: services:
garage: garage:
image: dxflrs/garage:v0.9.1 image: dxflrs/garage:v1.0.1
network_mode: "host" network_mode: "host"
restart: unless-stopped restart: unless-stopped
volumes: volumes:
@ -187,7 +201,7 @@ upgrades. With the containerized setup proposed here, the upgrade process
will require stopping and removing the existing container, and re-creating it will require stopping and removing the existing container, and re-creating it
with the upgraded version. with the upgraded version.
## Controling the daemon ## Controlling the daemon
The `garage` binary has two purposes: The `garage` binary has two purposes:
- it acts as a daemon when launched with `garage server` - it acts as a daemon when launched with `garage server`
@ -245,7 +259,7 @@ You can then instruct nodes to connect to one another as follows:
Venus$ garage node connect 563e1ac825ee3323aa441e72c26d1030d6d4414aeb3dd25287c531e7fc2bc95d@[fc00:1::1]:3901 Venus$ garage node connect 563e1ac825ee3323aa441e72c26d1030d6d4414aeb3dd25287c531e7fc2bc95d@[fc00:1::1]:3901
``` ```
You don't nead to instruct all node to connect to all other nodes: You don't need to instruct all node to connect to all other nodes:
nodes will discover one another transitively. nodes will discover one another transitively.
Now if your run `garage status` on any node, you should have an output that looks as follows: Now if your run `garage status` on any node, you should have an output that looks as follows:

View file

@ -472,3 +472,32 @@ https:// {
More information on how this endpoint is implemented in Garage is available More information on how this endpoint is implemented in Garage is available
in the [Admin API Reference](@/documentation/reference-manual/admin-api.md) page. in the [Admin API Reference](@/documentation/reference-manual/admin-api.md) page.
### Fileserver browser
Caddy's built-in
[file_server](https://caddyserver.com/docs/caddyfile/directives/file_server)
browser functionality can be extended with the
[caddy-fs-s3](https://github.com/sagikazarmark/caddy-fs-s3) module.
This can be configured to use Garage as a backend with the following
configuration:
```caddy
browse.garage.tld {
file_server {
fs s3 {
bucket test-bucket
region garage
endpoint https://s3.garage.tld
use_path_style
}
browse
}
}
```
Caddy must also be configured with the required `AWS_ACCESS_KEY_ID` and
`AWS_SECRET_ACCESS_KEY` environment variables to access the bucket.

View file

@ -48,7 +48,22 @@ locations. They use Garage themselves for the following tasks:
- As a backup target using `rclone` and `restic` - As a backup target using `rclone` and `restic`
- In the Drone continuous integration platform to store task logs
The Deuxfleurs Garage cluster is a multi-site cluster currently composed of The Deuxfleurs Garage cluster is a multi-site cluster currently composed of
9 nodes in 3 physical locations. 9 nodes in 3 physical locations.
### Triplebit
[Triplebit](https://www.triplebit.org) is a non-profit hosting provider and
ISP focused on improving access to privacy-related services. They use
Garage themselves for the following tasks:
- Hosting of their homepage, [privacyguides.org](https://www.privacyguides.org/), and various other static sites
- As a Mastodon object storage backend for [mstdn.party](https://mstdn.party/) and [mstdn.plus](https://mstdn.plus/)
- As a PeerTube storage backend for [neat.tube](https://neat.tube/)
- As a [Matrix media backend](https://github.com/matrix-org/synapse-s3-storage-provider)
Triplebit's Garage cluster is a multi-site cluster currently composed of
10 nodes in 3 physical locations.

View file

@ -97,7 +97,7 @@ delete a tombstone, the following condition has to be met:
superseeded by the tombstone. This ensures that deleting the tombstone is superseeded by the tombstone. This ensures that deleting the tombstone is
safe and that no deleted value will come back in the system. safe and that no deleted value will come back in the system.
Garage makes use of Sled's atomic operations (such as compare-and-swap and Garage uses atomic database operations (such as compare-and-swap and
transactions) to ensure that only tombstones that have been correctly transactions) to ensure that only tombstones that have been correctly
propagated to other nodes are ever deleted from the local entry tree. propagated to other nodes are ever deleted from the local entry tree.

View file

@ -67,7 +67,7 @@ Pithos has been abandonned and should probably not used yet, in the following we
Pithos was relying as a S3 proxy in front of Cassandra (and was working with Scylla DB too). Pithos was relying as a S3 proxy in front of Cassandra (and was working with Scylla DB too).
From its designers' mouth, storing data in Cassandra has shown its limitations justifying the project abandonment. From its designers' mouth, storing data in Cassandra has shown its limitations justifying the project abandonment.
They built a closed-source version 2 that does not store blobs in the database (only metadata) but did not communicate further on it. They built a closed-source version 2 that does not store blobs in the database (only metadata) but did not communicate further on it.
We considered there v2's design but concluded that it does not fit both our *Self-contained & lightweight* and *Simple* properties. It makes the development, the deployment and the operations more complicated while reducing the flexibility. We considered their v2's design but concluded that it does not fit both our *Self-contained & lightweight* and *Simple* properties. It makes the development, the deployment and the operations more complicated while reducing the flexibility.
**[Riak CS](https://docs.riak.com/riak/cs/2.1.1/index.html):** **[Riak CS](https://docs.riak.com/riak/cs/2.1.1/index.html):**
*Not written yet* *Not written yet*

View file

@ -80,7 +80,7 @@ nix-build \
--git_version $(git rev-parse HEAD) --git_version $(git rev-parse HEAD)
``` ```
*The result is located in `result/bin`. You can pass arguments to cross compile: check `.drone.yml` for examples.* *The result is located in `result/bin`. You can pass arguments to cross compile: check `.woodpecker/release.yml` for examples.*
If you modify a `Cargo.toml` or regenerate any `Cargo.lock`, you must run `cargo2nix`: If you modify a `Cargo.toml` or regenerate any `Cargo.lock`, you must run `cargo2nix`:

View file

@ -81,12 +81,9 @@ Our cache will be checked.
- http://www.lpenz.org/articles/nixchannel/index.html - http://www.lpenz.org/articles/nixchannel/index.html
## Drone ## Woodpecker
Do not try to set a build as trusted from the interface or the CLI tool, Woodpecker can do parallelism both at the step and the pipeline level. At the step level, parallelism is restricted to the same runner.
your request would be ignored. Instead, directly edit the database (table `repos`, column `repo_trusted`).
Drone can do parallelism both at the step and the pipeline level. At the step level, parallelism is restricted to the same runner.
## Building Docker containers ## Building Docker containers
@ -99,3 +96,4 @@ We were:
- Unable to use the kaniko container provided by Google as we can't run arbitrary logic: we need to put our secret in .docker/config.json. - Unable to use the kaniko container provided by Google as we can't run arbitrary logic: we need to put our secret in .docker/config.json.
Finally we chose to build kaniko through nix and use it in a `nix-shell`. Finally we chose to build kaniko through nix and use it in a `nix-shell`.
We then switched to using kaniko from nixpkgs when it was packaged.

View file

@ -42,7 +42,7 @@ and the docker containers on Docker Hub.
## Automation ## Automation
We automated our release process with Nix and Drone to make it more reliable. We automated our release process with Nix and Woodpecker to make it more reliable.
Here we describe how we have done in case you want to debug or improve it. Here we describe how we have done in case you want to debug or improve it.
### Caching build steps ### Caching build steps
@ -62,52 +62,31 @@ Sending to the cache is done through `nix copy`, for example:
nix copy --to 's3://nix?endpoint=garage.deuxfleurs.fr&region=garage&secret-key=/etc/nix/signing-key.sec' result nix copy --to 's3://nix?endpoint=garage.deuxfleurs.fr&region=garage&secret-key=/etc/nix/signing-key.sec' result
``` ```
*Note that you need the signing key. In our case, it is stored as a secret in Drone.* *The signing key possessed by the Garage maintainers is required to update the Nix cache.*
The previous command will only send the built packet and not its dependencies. The previous command will only send the built package and not its dependencies.
To send its dependency, a tool named `nix-copy-closure` has been created but it is not compatible with the S3 protocol. In the case of our CI pipeline, we want to cache all intermediate build steps
as well. This can be done using this quite involved command (here as an example
Instead, you can use the following commands to list all the runtime dependencies: for the `pkgs.amd64.relase` package):
```bash ```bash
nix copy \ nix copy -j8 \
--to 's3://nix?endpoint=garage.deuxfleurs.fr&region=garage&secret-key=/etc/nix/signing-key.sec' \ --to 's3://nix?endpoint=garage.deuxfleurs.fr&region=garage&secret-key=/etc/nix/nix-signing-key.sec' \
$(nix-store -qR result/) $(nix path-info pkgs.amd64.release --file default.nix --derivation --recursive | sed 's/\.drv$/.drv^*/')
``` ```
*We could also write this expression with xargs but this tool is not available in our container.* This command will simultaneously build all of the required Nix paths (using at
most 8 parallel Nix builder jobs) and send the resulting objects to the cache.
But in certain cases, we want to cache compile time dependencies also. This can be run for all the Garage packages we build using the following command:
For example, the Nix project does not provide binaries for cross compiling to i686 and thus we need to compile gcc on our own.
We do not want to compile gcc each time, so even if it is a compile time dependency, we want to cache it.
This time, the command is a bit more involved:
```bash
nix copy --to \
's3://nix?endpoint=garage.deuxfleurs.fr&region=garage&secret-key=/etc/nix/signing-key.sec' \
$(nix-store -qR --include-outputs \
$(nix-instantiate))
```
This is the command we use in our CI as we expect the final binary to change, so we mainly focus on
caching our development dependencies.
*Currently there is no automatic garbage collection of the cache: we should monitor its growth.
Hopefully, we can erase it totally without breaking any build, the next build will only be slower.*
In practise, we concluded that we do not want to cache all the compilation dependencies.
Instead, we want to cache the toolchain we use to build Garage each time we change it.
So we removed from Drone any automatic update of the cache and instead handle them manually with:
``` ```
source ~/.awsrc source ~/.awsrc
nix-shell --run 'refresh_toolchain' nix-shell --attr cache --run 'refresh_cache'
``` ```
Internally, it will run `nix-build` on `nix/toolchain.nix` and send the output plus its depedencies to the cache. We don't automate this step at each CI build, as *there is currently no automatic garbage collection of the cache.*
This means we should also monitor the cache's size; if it ever becomes too big we can erase it with:
To erase the cache:
``` ```
mc rm --recursive --force 'garage/nix/' mc rm --recursive --force 'garage/nix/'
@ -157,9 +136,9 @@ nix-shell --run refresh_index
If you want to compile for different architectures, you will need to repeat all these commands for each architecture. If you want to compile for different architectures, you will need to repeat all these commands for each architecture.
**In practise, and except for debugging, you will never directly run these commands. Release is handled by drone** **In practice, and except for debugging, you will never directly run these commands. Release is handled by Woodpecker.**
### Drone ### Drone (obsolete)
Our instance is available at [https://drone.deuxfleurs.fr](https://drone.deuxfleurs.fr). Our instance is available at [https://drone.deuxfleurs.fr](https://drone.deuxfleurs.fr).
You need an account on [https://git.deuxfleurs.fr](https://git.deuxfleurs.fr) to use it. You need an account on [https://git.deuxfleurs.fr](https://git.deuxfleurs.fr) to use it.

View file

@ -19,7 +19,7 @@ connecting to. To run on all nodes, add the `-a` flag as follows:
# Data block operations # Data block operations
## Data store scrub ## Data store scrub {#scrub}
Scrubbing the data store means examining each individual data block to check that Scrubbing the data store means examining each individual data block to check that
their content is correct, by verifying their hash. Any block found to be corrupted their content is correct, by verifying their hash. Any block found to be corrupted
@ -49,7 +49,7 @@ verifications. Of course, scrubbing the entire data store will also take longer.
## Block check and resync ## Block check and resync
In some cases, nodes hold a reference to a block but do not actually have the block In some cases, nodes hold a reference to a block but do not actually have the block
stored on disk. Conversely, they may also have on disk blocks that are not referenced stored on disk. Conversely, they may also have on-disk blocks that are not referenced
any more. To fix both cases, a block repair may be run with `garage repair blocks`. any more. To fix both cases, a block repair may be run with `garage repair blocks`.
This will scan the entire block reference counter table to check that the blocks This will scan the entire block reference counter table to check that the blocks
exist on disk, and will scan the entire disk store to check that stored blocks exist on disk, and will scan the entire disk store to check that stored blocks
@ -95,7 +95,7 @@ using the `garage block purge` command.
In [multi-HDD setups](@/documentation/operations/multi-hdd.md), to ensure that In [multi-HDD setups](@/documentation/operations/multi-hdd.md), to ensure that
data blocks are well balanced between storage locations, you may run a data blocks are well balanced between storage locations, you may run a
rebalance operation using `garage repair rebalance`. This is usefull when rebalance operation using `garage repair rebalance`. This is useful when
adding storage locations or when capacities of the storage locations have been adding storage locations or when capacities of the storage locations have been
changed. Once this is finished, Garage will know for each block of a single changed. Once this is finished, Garage will know for each block of a single
possible location where it can be, which can increase access speed. This possible location where it can be, which can increase access speed. This
@ -104,6 +104,24 @@ operation will also move out all data from locations marked as read-only.
# Metadata operations # Metadata operations
## Metadata snapshotting
It is good practice to setup automatic snapshotting of your metadata database
file, to recover from situations where it becomes corrupted on disk. This can
be done at the filesystem level if you are using ZFS or BTRFS.
Since Garage v0.9.4, Garage is able to take snapshots of the metadata database
itself. This basically amounts to copying the database file, except that it can
be run live while Garage is running without the risk of corruption or
inconsistencies. This can be setup to run automatically on a schedule using
[`metadata_auto_snapshot_interval`](@/documentation/reference-manual/configuration.md#metadata_auto_snapshot_interval).
A snapshot can also be triggered manually using the `garage meta snapshot`
command. Note that taking a snapshot using this method is very intensive as it
requires making a full copy of the database file, so you might prefer using
filesystem-level snapshots if possible. To recover a corrupted node from such a
snapshot, read the instructions
[here](@/documentation/operations/recovering.md#corrupted_meta).
## Metadata table resync ## Metadata table resync
Garage automatically resyncs all entries stored in the metadata tables every hour, Garage automatically resyncs all entries stored in the metadata tables every hour,
@ -123,4 +141,7 @@ blocks may still be held by Garage. If you suspect that such corruption has occu
in your cluster, you can run one of the following repair procedures: in your cluster, you can run one of the following repair procedures:
- `garage repair versions`: checks that all versions belong to a non-deleted object, and purges any orphan version - `garage repair versions`: checks that all versions belong to a non-deleted object, and purges any orphan version
- `garage repair block_refs`: checks that all block references belong to a non-deleted object version, and purges any orphan block reference (this will then allow the blocks to be garbage-collected)
- `garage repair block-refs`: checks that all block references belong to a non-deleted object version, and purges any orphan block reference (this will then allow the blocks to be garbage-collected)
- `garage repair block-rc`: checks that the reference counters for blocks are in sync with the actual number of non-deleted entries in the block reference table

View file

@ -12,8 +12,8 @@ An introduction to building cluster layouts can be found in the [production depl
In Garage, all of the data that can be stored in a given cluster is divided In Garage, all of the data that can be stored in a given cluster is divided
into slices which we call *partitions*. Each partition is stored by into slices which we call *partitions*. Each partition is stored by
one or several nodes in the cluster one or several nodes in the cluster
(see [`replication_mode`](@/documentation/reference-manual/configuration.md#replication_mode)). (see [`replication_factor`](@/documentation/reference-manual/configuration.md#replication_factor)).
The layout determines the correspondence between these partition, The layout determines the correspondence between these partitions,
which exist on a logical level, and actual storage nodes. which exist on a logical level, and actual storage nodes.
## How cluster layouts work in Garage ## How cluster layouts work in Garage
@ -94,10 +94,10 @@ follow the following recommendations:
## Understanding unexpected layout calculations ## Understanding unexpected layout calculations
When adding, removing or modifying nodes in a cluster layout, sometimes When adding, removing or modifying nodes in a cluster layout, sometimes
unexpected assigntations of partitions to node can occur. These assignations unexpected assignations of partitions to node can occur. These assignations
are in fact normal and logical, given the objectives of the algorihtm. Indeed, are in fact normal and logical, given the objectives of the algorithm. Indeed,
**the layout algorithm prioritizes moving less data between nodes over the fact **the layout algorithm prioritizes moving less data between nodes over
of achieving equal distribution of load. It also tries to use all links between achieving equal distribution of load. It also tries to use all links between
pairs of nodes in equal proportions when moving data.** This section presents pairs of nodes in equal proportions when moving data.** This section presents
two examples and illustrates how one can control Garage's behavior to obtain two examples and illustrates how one can control Garage's behavior to obtain
the desired results. the desired results.
@ -270,5 +270,5 @@ that is moved to node1).
This illustrates the second principle of the layout computation: **if there is This illustrates the second principle of the layout computation: **if there is
a choice in moving data out of some nodes, then all links between pairs of a choice in moving data out of some nodes, then all links between pairs of
nodes are used in equal proportions** (this is approximately true, there is nodes are used in equal proportions** (this is approximately true, there is
randomness in the algorihtm to achieve this so there might be some small randomness in the algorithm to achieve this so there might be some small
fluctuations, as we see above). fluctuations, as we see above).

View file

@ -5,7 +5,7 @@ weight = 40
Garage is meant to work on old, second-hand hardware. Garage is meant to work on old, second-hand hardware.
In particular, this makes it likely that some of your drives will fail, and some manual intervention will be needed. In particular, this makes it likely that some of your drives will fail, and some manual intervention will be needed.
Fear not! For Garage is fully equipped to handle drive failures, in most common cases. Fear not! Garage is fully equipped to handle drive failures, in most common cases.
## A note on availability of Garage ## A note on availability of Garage
@ -108,3 +108,57 @@ garage layout apply # once satisfied, apply the changes
Garage will then start synchronizing all required data on the new node. Garage will then start synchronizing all required data on the new node.
This process can be monitored using the `garage stats -a` command. This process can be monitored using the `garage stats -a` command.
## Replacement scenario 3: corrupted metadata {#corrupted_meta}
In some cases, your metadata DB file might become corrupted, for instance if
your node suffered a power outage and did not shut down properly. In this case,
you can recover without having to change the node ID and rebuilding a cluster
layout. This means that data blocks will not need to be shuffled around, you
must simply find a way to repair the metadata file. The best way is generally
to discard the corrupted file and recover it from another source.
First of all, start by locating the database file in your metadata directory,
which [depends on your `db_engine`
choice](@/documentation/reference-manual/configuration.md#db_engine). Then,
your recovery options are as follows:
- **Option 1: resyncing from other nodes.** In case your cluster is replicated
with two or three copies, you can simply delete the database file, and Garage
will resync from other nodes. To do so, stop Garage, delete the database file
or directory, and restart Garage. Then, do a full table repair by calling
`garage repair -a --yes tables`. This will take a bit of time to complete as
the new node will need to receive copies of the metadata tables from the
network.
- **Option 2: restoring a snapshot taken by Garage.** Since v0.9.4, Garage can
[automatically take regular
snapshots](@/documentation/reference-manual/configuration.md#metadata_auto_snapshot_interval)
of your metadata DB file. This file or directory should be located under
`<metadata_dir>/snapshots`, and is named according to the UTC time at which it
was taken. Stop Garage, discard the database file/directory and replace it by the
snapshot you want to use. For instance, in the case of LMDB:
```bash
cd $METADATA_DIR
mv db.lmdb db.lmdb.bak
cp -r snapshots/2024-03-15T12:13:52Z db.lmdb
```
And for Sqlite:
```bash
cd $METADATA_DIR
mv db.sqlite db.sqlite.bak
cp snapshots/2024-03-15T12:13:52Z db.sqlite
```
Then, restart Garage and run a full table repair by calling `garage repair -a
--yes tables`. This should run relatively fast as only the changes that
occurred since the snapshot was taken will need to be resynchronized. Of
course, if your cluster is not replicated, you will lose all changes that
occurred since the snapshot was taken.
- **Option 3: restoring a filesystem-level snapshot.** If you are using ZFS or
BTRFS to snapshot your metadata partition, refer to their specific
documentation on rolling back or copying files from an old snapshot.

View file

@ -9,7 +9,7 @@ On a new version release, there is 2 possibilities:
- protocols and data structures remained the same ➡️ this is a **minor upgrade** - protocols and data structures remained the same ➡️ this is a **minor upgrade**
- protocols or data structures changed ➡️ this is a **major upgrade** - protocols or data structures changed ➡️ this is a **major upgrade**
You can quickly now what type of update you will have to operate by looking at the version identifier: You can quickly know what type of update you will have to operate by looking at the version identifier:
when we require our users to do a major upgrade, we will always bump the first nonzero component of the version identifier when we require our users to do a major upgrade, we will always bump the first nonzero component of the version identifier
(e.g. from v0.7.2 to v0.8.0). (e.g. from v0.7.2 to v0.8.0).
Conversely, for versions that only require a minor upgrade, the first nonzero component will always stay the same (e.g. from v0.8.0 to v0.8.1). Conversely, for versions that only require a minor upgrade, the first nonzero component will always stay the same (e.g. from v0.8.0 to v0.8.1).
@ -73,6 +73,18 @@ The entire procedure would look something like this:
You can do all of the nodes in a single zone at once as that won't impact global cluster availability. You can do all of the nodes in a single zone at once as that won't impact global cluster availability.
Do not try to make a backup of the metadata folder of a running node. Do not try to make a backup of the metadata folder of a running node.
**Since Garage v0.9.4,** you can use the `garage meta snapshot --all` command
to take a simultaneous snapshot of the metadata database files of all your
nodes. This avoids the tedious process of having to take them down one by
one before upgrading. Be careful that if automatic snapshotting is enabled,
Garage only keeps the last two snapshots and deletes older ones, so you might
want to disable automatic snapshotting in your upgraded configuration file
until you have confirmed that the upgrade ran successfully. In addition to
snapshotting the metadata databases of your nodes, you should back-up at
least the `cluster_layout` file of one of your Garage instances (this file
should be the same on all nodes and you can copy it safely while Garage is
running).
3. Prepare your binaries and configuration files for the new Garage version 3. Prepare your binaries and configuration files for the new Garage version
4. Restart all nodes simultaneously in the new version 4. Restart all nodes simultaneously in the new version

View file

@ -42,6 +42,13 @@ If a binary of the last version is not available for your architecture,
or if you want a build customized for your system, or if you want a build customized for your system,
you can [build Garage from source](@/documentation/cookbook/from-source.md). you can [build Garage from source](@/documentation/cookbook/from-source.md).
If none of these option work for you, you can also run Garage in a Docker
container. When using Docker, the commands used in this guide will not work
anymore. We recommend reading the tutorial on [configuring a
multi-node cluster](@/documentation/cookbook/real-world.md) to learn about
using Garage as a Docker container. For simplicity, a minimal command to launch
Garage using Docker is provided in this quick start guide as well.
## Configuring and starting Garage ## Configuring and starting Garage
@ -57,9 +64,9 @@ to generate unique and private secrets for security reasons:
cat > garage.toml <<EOF cat > garage.toml <<EOF
metadata_dir = "/tmp/meta" metadata_dir = "/tmp/meta"
data_dir = "/tmp/data" data_dir = "/tmp/data"
db_engine = "lmdb" db_engine = "sqlite"
replication_mode = "none" replication_factor = 1
rpc_bind_addr = "[::]:3901" rpc_bind_addr = "[::]:3901"
rpc_public_addr = "127.0.0.1:3901" rpc_public_addr = "127.0.0.1:3901"
@ -79,11 +86,15 @@ index = "index.html"
api_bind_addr = "[::]:3904" api_bind_addr = "[::]:3904"
[admin] [admin]
api_bind_addr = "0.0.0.0:3903" api_bind_addr = "[::]:3903"
admin_token = "$(openssl rand -base64 32)" admin_token = "$(openssl rand -base64 32)"
metrics_token = "$(openssl rand -base64 32)"
EOF EOF
``` ```
See the [Configuration file format](https://garagehq.deuxfleurs.fr/documentation/reference-manual/configuration/)
for complete options and values.
Now that your configuration file has been created, you may save it to the directory of your choice. Now that your configuration file has been created, you may save it to the directory of your choice.
By default, Garage looks for **`/etc/garage.toml`.** By default, Garage looks for **`/etc/garage.toml`.**
You can also store it somewhere else, but you will have to specify `-c path/to/garage.toml` You can also store it somewhere else, but you will have to specify `-c path/to/garage.toml`
@ -110,10 +121,31 @@ garage -c path/to/garage.toml server
If you have placed the `garage.toml` file in `/etc` (its default location), you can simply run `garage server`. If you have placed the `garage.toml` file in `/etc` (its default location), you can simply run `garage server`.
You can tune Garage's verbosity as follows (from less verbose to more verbose): Alternatively, if you cannot or do not wish to run the Garage binary directly,
you may use Docker to run Garage in a container using the following command:
```bash
docker run \
-d \
--name garaged \
-p 3900:3900 -p 3901:3901 -p 3902:3902 -p 3903:3903 \
-v /etc/garage.toml:/path/to/garage.toml \
-v /var/lib/garage/meta:/path/to/garage/meta \
-v /var/lib/garage/data:/path/to/garage/data \
dxflrs/garage:v0.9.4
``` ```
RUST_LOG=garage=info garage server
Under Linux, you can substitute `--network host` for `-p 3900:3900 -p 3901:3901 -p 3902:3902 -p 3903:3903`
#### Troubleshooting
Ensure your configuration file, `metadata_dir` and `data_dir` are readable by the user running the `garage` server or Docker.
You can tune Garage's verbosity by setting the `RUST_LOG=` environment variable. \
Available log levels are (from less verbose to more verbose): `error`, `warn`, `info` *(default)*, `debug` and `trace`.
```bash
RUST_LOG=garage=info garage server # default
RUST_LOG=garage=debug garage server RUST_LOG=garage=debug garage server
RUST_LOG=garage=trace garage server RUST_LOG=garage=trace garage server
``` ```
@ -129,6 +161,9 @@ It uses values from the TOML configuration file to find the Garage daemon runnin
local node, therefore if your configuration file is not at `/etc/garage.toml` you will local node, therefore if your configuration file is not at `/etc/garage.toml` you will
again have to specify `-c path/to/garage.toml` at each invocation. again have to specify `-c path/to/garage.toml` at each invocation.
If you are running Garage in a Docker container, you can set `alias garage="docker exec -ti <container name> /garage"`
to use the Garage binary inside your container.
If the `garage` CLI is able to correctly detect the parameters of your local Garage node, If the `garage` CLI is able to correctly detect the parameters of your local Garage node,
the following command should be enough to show the status of your cluster: the following command should be enough to show the status of your cluster:
@ -249,7 +284,7 @@ garage bucket info nextcloud-bucket
``` ```
## Uploading and downlading from Garage ## Uploading and downloading from Garage
To download and upload files on garage, we can use a third-party tool named `awscli`. To download and upload files on garage, we can use a third-party tool named `awscli`.

View file

@ -8,8 +8,8 @@ listen address is specified in the `[admin]` section of the configuration
file (see [configuration file file (see [configuration file
reference](@/documentation/reference-manual/configuration.md)) reference](@/documentation/reference-manual/configuration.md))
**WARNING.** At this point, there is no comittement to stability of the APIs described in this document. **WARNING.** At this point, there is no commitment to the stability of the APIs described in this document.
We will bump the version numbers prefixed to each API endpoint at each time the syntax We will bump the version numbers prefixed to each API endpoint each time the syntax
or semantics change, meaning that code that relies on these endpoint will break or semantics change, meaning that code that relies on these endpoint will break
when changes are introduced. when changes are introduced.
@ -22,7 +22,7 @@ Versions:
## Access control ## Access control
The admin API uses two different tokens for acces control, that are specified in the config file's `[admin]` section: The admin API uses two different tokens for access control, that are specified in the config file's `[admin]` section:
- `metrics_token`: the token for accessing the Metrics endpoint (if this token - `metrics_token`: the token for accessing the Metrics endpoint (if this token
is not set in the config file, the Metrics endpoint can be accessed without is not set in the config file, the Metrics endpoint can be accessed without
@ -88,8 +88,8 @@ Consult the full health check API endpoint at /v0/health for more details
### On-demand TLS `GET /check` ### On-demand TLS `GET /check`
To prevent abuses for on-demand TLS, Caddy developpers have specified an endpoint that can be queried by the reverse proxy To prevent abuse for on-demand TLS, Caddy developers have specified an endpoint that can be queried by the reverse proxy
to know if a given domain is allowed to get a certificate. Garage implements this endpoints to tell if a given domain is handled by Garage or is garbage. to know if a given domain is allowed to get a certificate. Garage implements these endpoints to tell if a given domain is handled by Garage or is garbage.
Garage responds with the following logic: Garage responds with the following logic:
- If the domain matches the pattern `<bucket-name>.<s3_api.root_domain>`, returns 200 OK - If the domain matches the pattern `<bucket-name>.<s3_api.root_domain>`, returns 200 OK
@ -102,7 +102,7 @@ You must manually declare the domain in your reverse-proxy. Idem for K2V.*
*Note 2: buckets in a user's namespace are not supported yet by this endpoint. This is a limitation of this endpoint currently.* *Note 2: buckets in a user's namespace are not supported yet by this endpoint. This is a limitation of this endpoint currently.*
**Example:** Suppose a Garage instance configured with `s3_api.root_domain = .s3.garage.localhost` and `s3_web.root_domain = .web.garage.localhost`. **Example:** Suppose a Garage instance is configured with `s3_api.root_domain = .s3.garage.localhost` and `s3_web.root_domain = .web.garage.localhost`.
With a private `media` bucket (name in the global namespace, website is disabled), the endpoint will feature the following behavior: With a private `media` bucket (name in the global namespace, website is disabled), the endpoint will feature the following behavior:

View file

@ -8,30 +8,38 @@ weight = 20
Here is an example `garage.toml` configuration file that illustrates all of the possible options: Here is an example `garage.toml` configuration file that illustrates all of the possible options:
```toml ```toml
replication_mode = "3" replication_factor = 3
consistency_mode = "consistent"
metadata_dir = "/var/lib/garage/meta" metadata_dir = "/var/lib/garage/meta"
data_dir = "/var/lib/garage/data" data_dir = "/var/lib/garage/data"
metadata_fsync = true metadata_fsync = true
data_fsync = false data_fsync = false
disable_scrub = false
metadata_auto_snapshot_interval = "6h"
db_engine = "lmdb" db_engine = "lmdb"
block_size = 1048576 block_size = "1M"
block_ram_buffer_max = "256MiB"
sled_cache_capacity = "128MiB"
sled_flush_every_ms = 2000
lmdb_map_size = "1T" lmdb_map_size = "1T"
compression_level = 1 compression_level = 1
rpc_secret = "4425f5c26c5e11581d3223904324dcb5b5d5dfb14e5e7f35e38c595424f5f1e6" rpc_secret = "4425f5c26c5e11581d3223904324dcb5b5d5dfb14e5e7f35e38c595424f5f1e6"
rpc_bind_addr = "[::]:3901" rpc_bind_addr = "[::]:3901"
rpc_bind_outgoing = false
rpc_public_addr = "[fc00:1::1]:3901" rpc_public_addr = "[fc00:1::1]:3901"
# or set rpc_public_adr_subnet to filter down autodiscovery to a subnet:
# rpc_public_addr_subnet = "2001:0db8:f00:b00:/64"
allow_world_readable_secrets = false
bootstrap_peers = [ bootstrap_peers = [
"563e1ac825ee3323aa441e72c26d1030d6d4414aeb3dd25287c531e7fc2bc95d@[fc00:1::1]:3901", "563e1ac825ee3323aa441e72c26d1030d6d4414aeb3dd25287c531e7fc2bc95d@[fc00:1::1]:3901",
"86f0f26ae4afbd59aaf9cfb059eefac844951efd5b8caeec0d53f4ed6c85f332[fc00:1::2]:3901", "86f0f26ae4afbd59aaf9cfb059eefac844951efd5b8caeec0d53f4ed6c85f332@[fc00:1::2]:3901",
"681456ab91350f92242e80a531a3ec9392cb7c974f72640112f90a600d7921a4@[fc00:B::1]:3901", "681456ab91350f92242e80a531a3ec9392cb7c974f72640112f90a600d7921a4@[fc00:B::1]:3901",
"212fd62eeaca72c122b45a7f4fa0f55e012aa5e24ac384a72a3016413fa724ff@[fc00:F::1]:3901", "212fd62eeaca72c122b45a7f4fa0f55e012aa5e24ac384a72a3016413fa724ff@[fc00:F::1]:3901",
] ]
@ -68,8 +76,8 @@ root_domain = ".web.garage"
[admin] [admin]
api_bind_addr = "0.0.0.0:3903" api_bind_addr = "0.0.0.0:3903"
metrics_token = "cacce0b2de4bc2d9f5b5fdff551e01ac1496055aed248202d415398987e35f81" metrics_token = "BCAdFjoa9G0KJR0WXnHHm7fs1ZAbfpI8iIZ+Z/a2NgI="
admin_token = "ae8cb40ea7368bbdbb6430af11cca7da833d3458a5f52086f4e805a570fb5c2a" admin_token = "UkLeGWEvHnXBqnueR3ISEMWpOnm40jH2tM2HnnL/0F4="
trace_sink = "http://localhost:4317" trace_sink = "http://localhost:4317"
``` ```
@ -79,33 +87,39 @@ The following gives details about each available configuration option.
### Index ### Index
[Environment variables](#env_variables).
Top-level configuration options: Top-level configuration options:
[`allow_world_readable_secrets`](#allow_world_readable_secrets),
[`block_ram_buffer_max`](#block_ram_buffer_max),
[`block_size`](#block_size), [`block_size`](#block_size),
[`bootstrap_peers`](#bootstrap_peers), [`bootstrap_peers`](#bootstrap_peers),
[`compression_level`](#compression_level), [`compression_level`](#compression_level),
[`data_dir`](#metadata_dir), [`data_dir`](#data_dir),
[`data_fsync`](#data_fsync), [`data_fsync`](#data_fsync),
[`db_engine`](#db_engine), [`db_engine`](#db_engine),
[`disable_scrub`](#disable_scrub),
[`lmdb_map_size`](#lmdb_map_size), [`lmdb_map_size`](#lmdb_map_size),
[`metadata_auto_snapshot_interval`](#metadata_auto_snapshot_interval),
[`metadata_dir`](#metadata_dir), [`metadata_dir`](#metadata_dir),
[`metadata_fsync`](#metadata_fsync), [`metadata_fsync`](#metadata_fsync),
[`replication_mode`](#replication_mode), [`replication_factor`](#replication_factor),
[`consistency_mode`](#consistency_mode),
[`rpc_bind_addr`](#rpc_bind_addr), [`rpc_bind_addr`](#rpc_bind_addr),
[`rpc_bind_outgoing`](#rpc_bind_outgoing),
[`rpc_public_addr`](#rpc_public_addr), [`rpc_public_addr`](#rpc_public_addr),
[`rpc_secret`](#rpc_secret), [`rpc_public_addr_subnet`](#rpc_public_addr_subnet)
[`rpc_secret_file`](#rpc_secret), [`rpc_secret`/`rpc_secret_file`](#rpc_secret).
[`sled_cache_capacity`](#sled_cache_capacity),
[`sled_flush_every_ms`](#sled_flush_every_ms).
The `[consul_discovery]` section: The `[consul_discovery]` section:
[`api`](#consul_api), [`api`](#consul_api),
[`ca_cert`](#consul_ca_cert), [`ca_cert`](#consul_ca_cert),
[`client_cert`](#consul_client_cert), [`client_cert`](#consul_client_cert_and_key),
[`client_key`](#consul_client_cert), [`client_key`](#consul_client_cert_and_key),
[`consul_http_addr`](#consul_http_addr), [`consul_http_addr`](#consul_http_addr),
[`meta`](#consul_tags), [`meta`](#consul_tags_and_meta),
[`service_name`](#consul_service_name), [`service_name`](#consul_service_name),
[`tags`](#consul_tags), [`tags`](#consul_tags_and_meta),
[`tls_skip_verify`](#consul_tls_skip_verify), [`tls_skip_verify`](#consul_tls_skip_verify),
[`token`](#consul_token). [`token`](#consul_token).
@ -125,20 +139,36 @@ The `[s3_web]` section:
The `[admin]` section: The `[admin]` section:
[`api_bind_addr`](#admin_api_bind_addr), [`api_bind_addr`](#admin_api_bind_addr),
[`metrics_token`](#admin_metrics_token), [`metrics_token`/`metrics_token_file`](#admin_metrics_token),
[`metrics_token_file`](#admin_metrics_token), [`admin_token`/`admin_token_file`](#admin_token),
[`admin_token`](#admin_token),
[`admin_token_file`](#admin_token),
[`trace_sink`](#admin_trace_sink), [`trace_sink`](#admin_trace_sink),
### Environment variables {#env_variables}
The following configuration parameter must be specified as an environment
variable, it does not exist in the configuration file:
- `GARAGE_LOG_TO_SYSLOG` (since v0.9.4): set this to `1` or `true` to make the
Garage daemon send its logs to `syslog` (using the libc `syslog` function)
instead of printing to stderr.
The following environment variables can be used to override the corresponding
values in the configuration file:
- [`GARAGE_ALLOW_WORLD_READABLE_SECRETS`](#allow_world_readable_secrets)
- [`GARAGE_RPC_SECRET` and `GARAGE_RPC_SECRET_FILE`](#rpc_secret)
- [`GARAGE_ADMIN_TOKEN` and `GARAGE_ADMIN_TOKEN_FILE`](#admin_token)
- [`GARAGE_METRICS_TOKEN` and `GARAGE_METRICS_TOKEN`](#admin_metrics_token)
### Top-level configuration options ### Top-level configuration options
#### `replication_mode` {#replication_mode} #### `replication_factor` {#replication_factor}
Garage supports the following replication modes: The replication factor can be any positive integer smaller or equal the node count in your cluster.
The chosen replication factor has a big impact on the cluster's failure tolerancy and performance characteristics.
- `none` or `1`: data stored on Garage is stored on a single node. There is no - `1`: data stored on Garage is stored on a single node. There is no
redundancy, and data will be unavailable as soon as one node fails or its redundancy, and data will be unavailable as soon as one node fails or its
network is disconnected. Do not use this for anything else than test network is disconnected. Do not use this for anything else than test
deployments. deployments.
@ -149,17 +179,6 @@ Garage supports the following replication modes:
before losing data. Data remains available in read-only mode when one node is before losing data. Data remains available in read-only mode when one node is
down, but write operations will fail. down, but write operations will fail.
- `2-dangerous`: a variant of mode `2`, where written objects are written to
the second replica asynchronously. This means that Garage will return `200
OK` to a PutObject request before the second copy is fully written (or even
before it even starts being written). This means that data can more easily
be lost if the node crashes before a second copy can be completed. This
also means that written objects might not be visible immediately in read
operations. In other words, this mode severely breaks the consistency and
durability guarantees of standard Garage cluster operation. Benefits of
this mode: you can still write to your cluster when one node is
unavailable.
- `3`: data stored on Garage will be stored on three different nodes, if - `3`: data stored on Garage will be stored on three different nodes, if
possible each in a different zones. Garage tolerates two node failure, or possible each in a different zones. Garage tolerates two node failure, or
several node failures but in no more than two zones (in a deployment with at several node failures but in no more than two zones (in a deployment with at
@ -167,55 +186,84 @@ Garage supports the following replication modes:
or node failures are only in a single zone, reading and writing data to or node failures are only in a single zone, reading and writing data to
Garage can continue normally. Garage can continue normally.
- `3-degraded`: a variant of replication mode `3`, that lowers the read - `5`, `7`, ...: When setting the replication factor above 3, it is most useful to
quorum to `1`, to allow you to read data from your cluster when several choose an uneven value, since for every two copies added, one more node can fail
nodes (or nodes in several zones) are unavailable. In this mode, Garage before losing the ability to write and read to the cluster.
does not provide read-after-write consistency anymore. The write quorum is
still 2, ensuring that data successfully written to Garage is stored on at
least two nodes.
- `3-dangerous`: a variant of replication mode `3` that lowers both the read
and write quorums to `1`, to allow you to both read and write to your
cluster when several nodes (or nodes in several zones) are unavailable. It
is the least consistent mode of operation proposed by Garage, and also one
that should probably never be used.
Note that in modes `2` and `3`, Note that in modes `2` and `3`,
if at least the same number of zones are available, an arbitrary number of failures in if at least the same number of zones are available, an arbitrary number of failures in
any given zone is tolerated as copies of data will be spread over several zones. any given zone is tolerated as copies of data will be spread over several zones.
**Make sure `replication_mode` is the same in the configuration files of all nodes. **Make sure `replication_factor` is the same in the configuration files of all nodes.
Never run a Garage cluster where that is not the case.** Never run a Garage cluster where that is not the case.**
It is technically possible to change the replication factor although it's a
dangerous operation that is not officially supported. This requires you to
delete the existing cluster layout and create a new layout from scratch,
meaning that a full rebalancing of your cluster's data will be needed. To do
it, shut down your cluster entirely, delete the `custer_layout` files in the
meta directories of all your nodes, update all your configuration files with
the new `replication_factor` parameter, restart your cluster, and then create a
new layout with all the nodes you want to keep. Rebalancing data will take
some time, and data might temporarily appear unavailable to your users.
It is recommended to shut down public access to the cluster while rebalancing
is in progress. In theory, no data should be lost as rebalancing is a
routine operation for Garage, although we cannot guarantee you that everything
will go right in such an extreme scenario.
#### `consistency_mode` {#consistency_mode}
The consistency mode setting determines the read and write behaviour of your cluster.
- `consistent`: The default setting. This is what the paragraph above describes.
The read and write quorum will be determined so that read-after-write consistency
is guaranteed.
- `degraded`: Lowers the read
quorum to `1`, to allow you to read data from your cluster when several
nodes (or nodes in several zones) are unavailable. In this mode, Garage
does not provide read-after-write consistency anymore.
The write quorum stays the same as in the `consistent` mode, ensuring that
data successfully written to Garage is stored on multiple nodes (depending
the replication factor).
- `dangerous`: This mode lowers both the read
and write quorums to `1`, to allow you to both read and write to your
cluster when several nodes (or nodes in several zones) are unavailable. It
is the least consistent mode of operation proposed by Garage, and also one
that should probably never be used.
Changing the `consistency_mode` between modes while leaving the `replication_factor` untouched
(e.g. setting your node's `consistency_mode` to `degraded` when it was previously unset, or from
`dangerous` to `consistent`), can be done easily by just changing the `consistency_mode`
parameter in your config files and restarting all your Garage nodes.
The consistency mode can be used together with various replication factors, to achieve
a wide range of read and write characteristics. Some examples:
- Replication factor `2`, consistency mode `degraded`: While this mode
technically exists, its properties are the same as with consistency mode `consistent`,
since the read quorum with replication factor `2`, consistency mode `consistent` is already 1.
- Replication factor `2`, consistency mode `dangerous`: written objects are written to
the second replica asynchronously. This means that Garage will return `200
OK` to a PutObject request before the second copy is fully written (or even
before it even starts being written). This means that data can more easily
be lost if the node crashes before a second copy can be completed. This
also means that written objects might not be visible immediately in read
operations. In other words, this configuration severely breaks the consistency and
durability guarantees of standard Garage cluster operation. Benefits of
this configuration: you can still write to your cluster when one node is
unavailable.
The quorums associated with each replication mode are described below: The quorums associated with each replication mode are described below:
| `replication_mode` | Number of replicas | Write quorum | Read quorum | Read-after-write consistency? | | `consistency_mode` | `replication_factor` | Write quorum | Read quorum | Read-after-write consistency? |
| ------------------ | ------------------ | ------------ | ----------- | ----------------------------- | | ------------------ | -------------------- | ------------ | ----------- | ----------------------------- |
| `none` or `1` | 1 | 1 | 1 | yes | | `consistent` | 1 | 1 | 1 | yes |
| `2` | 2 | 2 | 1 | yes | | `consistent` | 2 | 2 | 1 | yes |
| `2-dangerous` | 2 | 1 | 1 | NO | | `dangerous` | 2 | 1 | 1 | NO |
| `3` | 3 | 2 | 2 | yes | | `consistent` | 3 | 2 | 2 | yes |
| `3-degraded` | 3 | 2 | 1 | NO | | `degraded` | 3 | 2 | 1 | NO |
| `3-dangerous` | 3 | 1 | 1 | NO | | `dangerous` | 3 | 1 | 1 | NO |
Changing the `replication_mode` between modes with the same number of replicas
(e.g. from `3` to `3-degraded`, or from `2-dangerous` to `2`), can be done easily by
just changing the `replication_mode` parameter in your config files and restarting all your
Garage nodes.
It is also technically possible to change the replication mode to a mode with a
different numbers of replicas, although it's a dangerous operation that is not
officially supported. This requires you to delete the existing cluster layout
and create a new layout from scratch, meaning that a full rebalancing of your
cluster's data will be needed. To do it, shut down your cluster entirely,
delete the `custer_layout` files in the meta directories of all your nodes,
update all your configuration files with the new `replication_mode` parameter,
restart your cluster, and then create a new layout with all the nodes you want
to keep. Rebalancing data will take some time, and data might temporarily
appear unavailable to your users. It is recommended to shut down public access
to the cluster while rebalancing is in progress. In theory, no data should be
lost as rebalancing is a routine operation for Garage, although we cannot
guarantee you that everything will go right in such an extreme scenario.
#### `metadata_dir` {#metadata_dir} #### `metadata_dir` {#metadata_dir}
@ -251,32 +299,43 @@ Since `v0.8.0`, Garage can use alternative storage backends as follows:
| DB engine | `db_engine` value | Database path | | DB engine | `db_engine` value | Database path |
| --------- | ----------------- | ------------- | | --------- | ----------------- | ------------- |
| [LMDB](https://www.lmdb.tech) (default since `v0.9.0`) | `"lmdb"` | `<metadata_dir>/db.lmdb/` | | [LMDB](https://www.symas.com/lmdb) (since `v0.8.0`, default since `v0.9.0`) | `"lmdb"` | `<metadata_dir>/db.lmdb/` |
| [Sled](https://sled.rs) (default up to `v0.8.0`) | `"sled"` | `<metadata_dir>/db/` | | [Sqlite](https://sqlite.org) (since `v0.8.0`) | `"sqlite"` | `<metadata_dir>/db.sqlite` |
| [Sqlite](https://sqlite.org) | `"sqlite"` | `<metadata_dir>/db.sqlite` | | [Sled](https://sled.rs) (old default, removed since `v1.0`) | `"sled"` | `<metadata_dir>/db/` |
Sled was the only database engine up to Garage v0.7.0. Performance issues and Sled was supported until Garage v0.9.x, and was removed in Garage v1.0.
API limitations of Sled prompted the addition of alternative engines in v0.8.0. You can still use an older binary of Garage (e.g. v0.9.4) to migrate
Since v0.9.0, LMDB is the default engine instead of Sled, and Sled is old Sled metadata databases to another engine.
deprecated. We plan to remove Sled in Garage v1.0.
Performance characteristics of the different DB engines are as follows: Performance characteristics of the different DB engines are as follows:
- Sled: tends to produce large data files and also has performance issues, - LMDB: the recommended database engine for high-performance distributed clusters.
especially when the metadata folder is on a traditional HDD and not on SSD. LMDB works very well, but is known to have the following limitations:
- LMDB: the recommended database engine on 64-bit systems, much more - The data format of LMDB is not portable between architectures, so for
space-efficient and slightly faster. Note that the data format of LMDB is not instance the Garage database of an x86-64 node cannot be moved to an ARM64
portable between architectures, so for instance the Garage database of an node.
x86-64 node cannot be moved to an ARM64 node. Also note that, while LMDB can
technically be used on 32-bit systems, this will limit your node to very - While LMDB can technically be used on 32-bit systems, this will limit your
small database sizes due to how LMDB works; it is therefore not recommended. node to very small database sizes due to how LMDB works; it is therefore
not recommended.
- Several users have reported corrupted LMDB database files after an unclean
shutdown (e.g. a power outage). This situation can generally be recovered
from if your cluster is geo-replicated (by rebuilding your metadata db from
other nodes), or if you have saved regular snapshots at the filesystem
level.
- Keys in LMDB are limited to 511 bytes. This limit translates to limits on
object keys in S3 and sort keys in K2V that are limted to 479 bytes.
- Sqlite: Garage supports Sqlite as an alternative storage backend for - Sqlite: Garage supports Sqlite as an alternative storage backend for
metadata, and although it has not been tested as much, it is expected to work metadata, which does not have the issues listed above for LMDB.
satisfactorily. Since Garage v0.9.0, performance issues have largely been On versions 0.8.x and earlier, Sqlite should be avoided due to abysmal
fixed by allowing for a no-fsync mode (see `metadata_fsync`). Sqlite does not performance, which was fixed with the addition of `metadata_fsync`.
have the database size limitation of LMDB on 32-bit systems. Sqlite is still probably slower than LMDB due to the way we use it,
so it is not the best choice for high-performance storage clusters,
but it should work fine in many cases.
It is possible to convert Garage's metadata directory from one format to another It is possible to convert Garage's metadata directory from one format to another
using the `garage convert-db` command, which should be used as follows: using the `garage convert-db` command, which should be used as follows:
@ -313,7 +372,6 @@ Here is how this option impacts the different database engines:
| Database | `metadata_fsync = false` (default) | `metadata_fsync = true` | | Database | `metadata_fsync = false` (default) | `metadata_fsync = true` |
|----------|------------------------------------|-------------------------------| |----------|------------------------------------|-------------------------------|
| Sled | default options | *unsupported* |
| Sqlite | `PRAGMA synchronous = OFF` | `PRAGMA synchronous = NORMAL` | | Sqlite | `PRAGMA synchronous = OFF` | `PRAGMA synchronous = NORMAL` |
| LMDB | `MDB_NOMETASYNC` + `MDB_NOSYNC` | `MDB_NOMETASYNC` | | LMDB | `MDB_NOMETASYNC` + `MDB_NOSYNC` | `MDB_NOMETASYNC` |
@ -332,6 +390,43 @@ at the cost of a moderate drop in write performance.
Similarly to `metatada_fsync`, this is likely not necessary Similarly to `metatada_fsync`, this is likely not necessary
if geographical replication is used. if geographical replication is used.
#### `metadata_auto_snapshot_interval` (since Garage v0.9.4) {#metadata_auto_snapshot_interval}
If this value is set, Garage will automatically take a snapshot of the metadata
DB file at a regular interval and save it in the metadata directory.
This parameter can take any duration string that can be parsed by
the [`parse_duration`](https://docs.rs/parse_duration/latest/parse_duration/#syntax) crate.
Snapshots can allow to recover from situations where the metadata DB file is
corrupted, for instance after an unclean shutdown. See [this
page](@/documentation/operations/recovering.md#corrupted_meta) for details.
Garage keeps only the two most recent snapshots of the metadata DB and deletes
older ones automatically.
Note that taking a metadata snapshot is a relatively intensive operation as the
entire data file is copied. A snapshot being taken might have performance
impacts on the Garage node while it is running. If the cluster is under heavy
write load when a snapshot operation is running, this might also cause the
database file to grow in size significantly as pages cannot be recycled easily.
For this reason, it might be better to use filesystem-level snapshots instead
if possible.
#### `disable_scrub` {#disable_scrub}
By default, Garage runs a scrub of the data directory approximately once per
month, with a random delay to avoid all nodes running at the same time. When
it scrubs the data directory, Garage will read all of the data files stored on
disk to check their integrity, and will rebuild any data files that it finds
corrupted, using the remaining valid copies stored on other nodes.
See [this page](@/documentation/operations/durability-repairs.md#scrub) for details.
Set the `disable_scrub` configuration value to `true` if you don't need Garage
to scrub the data directory, for instance if you are already scrubbing at the
filesystem level. Note that in this case, if you find a corrupted data file,
you should delete it from the data directory and then call `garage repair
blocks` on the node to ensure that it re-obtains a copy from another node on
the network.
#### `block_size` {#block_size} #### `block_size` {#block_size}
Garage splits stored objects in consecutive chunks of size `block_size` Garage splits stored objects in consecutive chunks of size `block_size`
@ -347,20 +442,36 @@ files will remain available. This however means that chunks from existing files
will not be deduplicated with chunks from newly uploaded files, meaning you will not be deduplicated with chunks from newly uploaded files, meaning you
might use more storage space that is optimally possible. might use more storage space that is optimally possible.
#### `sled_cache_capacity` {#sled_cache_capacity} #### `block_ram_buffer_max` (since v0.9.4) {#block_ram_buffer_max}
This parameter can be used to tune the capacity of the cache used by A limit on the total size of data blocks kept in RAM by S3 API nodes awaiting
[sled](https://sled.rs), the database Garage uses internally to store metadata. to be sent to storage nodes asynchronously.
Tune this to fit the RAM you wish to make available to your Garage instance.
This value has a conservative default (128MB) so that Garage doesn't use too much
RAM by default, but feel free to increase this for higher performance.
#### `sled_flush_every_ms` {#sled_flush_every_ms} Explanation: since Garage wants to tolerate node failures, it uses quorum
writes to send data blocks to storage nodes: try to write the block to three
nodes, and return ok as soon as two writes complete. So even if all three nodes
are online, the third write always completes asynchronously. In general, there
are not many writes to a cluster, and the third asynchronous write can
terminate early enough so as to not cause unbounded RAM growth. However, if
the S3 API node is continuously receiving large quantities of data and the
third node is never able to catch up, many data blocks will be kept buffered in
RAM as they are awaiting transfer to the third node.
This parameters can be used to tune the flushing interval of sled. The `block_ram_buffer_max` sets a limit to the size of buffers that can be kept
Increase this if sled is thrashing your SSD, at the risk of losing more data in case in RAM in this process. When the limit is reached, backpressure is applied
of a power outage (though this should not matter much as data is replicated on other back to the S3 client.
nodes). The default value, 2000ms, should be appropriate for most use cases.
Note that this only counts buffers that have arrived to a certain stage of
processing (received from the client + encrypted and/or compressed as
necessary) and are ready to send to the storage nodes. Many other buffers will
not be counted and this is not a hard limit on RAM consumption. In particular,
if many clients send requests simultaneously with large objects, the RAM
consumption will always grow linearly with the number of concurrent requests,
as each request will use a few buffers of size `block_size` for receiving and
intermediate processing before even trying to send the data to the storage
node.
The default value is 256MiB.
#### `lmdb_map_size` {#lmdb_map_size} #### `lmdb_map_size` {#lmdb_map_size}
@ -418,6 +529,17 @@ the node, even in the case of a NAT: the NAT should be configured to forward the
port number to the same internal port nubmer. This means that if you have several nodes running port number to the same internal port nubmer. This means that if you have several nodes running
behind a NAT, they should each use a different RPC port number. behind a NAT, they should each use a different RPC port number.
#### `rpc_bind_outgoing`(since v0.9.2) {#rpc_bind_outgoing}
If enabled, pre-bind all sockets for outgoing connections to the same IP address
used for listening (the IP address specified in `rpc_bind_addr`) before
trying to connect to remote nodes.
This can be necessary if a node has multiple IP addresses,
but only one is allowed or able to reach the other nodes,
for instance due to firewall rules or specific routing configuration.
Disabled by default.
#### `rpc_public_addr` {#rpc_public_addr} #### `rpc_public_addr` {#rpc_public_addr}
The address and port that other nodes need to use to contact this node for The address and port that other nodes need to use to contact this node for
@ -425,6 +547,14 @@ RPC calls. **This parameter is optional but recommended.** In case you have
a NAT that binds the RPC port to a port that is different on your public IP, a NAT that binds the RPC port to a port that is different on your public IP,
this field might help making it work. this field might help making it work.
#### `rpc_public_addr_subnet` {#rpc_public_addr_subnet}
In case `rpc_public_addr` is not set, but autodiscovery is used, this allows
filtering the list of automatically discovered IPs to a specific subnet.
For example, if nodes should pick *their* IP inside a specific subnet, but you
don't want to explicitly write the IP down (as it's dynamic, or you want to
share configs across nodes), you can use this option.
#### `bootstrap_peers` {#bootstrap_peers} #### `bootstrap_peers` {#bootstrap_peers}
A list of peer identifiers on which to contact other Garage peers of this cluster. A list of peer identifiers on which to contact other Garage peers of this cluster.
@ -441,7 +571,7 @@ be obtained by running `garage node id` and then included directly in the
key will be returned by `garage node id` and you will have to add the IP key will be returned by `garage node id` and you will have to add the IP
yourself. yourself.
### `allow_world_readable_secrets` ### `allow_world_readable_secrets` or `GARAGE_ALLOW_WORLD_READABLE_SECRETS` (env) {#allow_world_readable_secrets}
Garage checks the permissions of your secret files to make sure they're not Garage checks the permissions of your secret files to make sure they're not
world-readable. In some cases, the check might fail and consider your files as world-readable. In some cases, the check might fail and consider your files as
@ -474,7 +604,7 @@ the `/v1/catalog` endpoints, enabling mTLS if `client_cert` and `client_key` are
`service_name` should be set to the service name under which Garage's `service_name` should be set to the service name under which Garage's
RPC ports are announced. RPC ports are announced.
#### `client_cert`, `client_key` {#consul_client_cert} #### `client_cert`, `client_key` {#consul_client_cert_and_key}
TLS client certificate and client key to use when communicating with Consul over TLS. Both are mandatory when doing so. TLS client certificate and client key to use when communicating with Consul over TLS. Both are mandatory when doing so.
Only available when `api = "catalog"`. Only available when `api = "catalog"`.
@ -508,7 +638,7 @@ node_prefix "" {
} }
``` ```
#### `tags` and `meta` {#consul_tags} #### `tags` and `meta` {#consul_tags_and_meta}
Additional list of tags and map of service meta to add during service registration. Additional list of tags and map of service meta to add during service registration.
@ -602,7 +732,7 @@ the socket will have 0220 mode. Make sure to set user and group permissions acco
The token for accessing the Metrics endpoint. If this token is not set, the The token for accessing the Metrics endpoint. If this token is not set, the
Metrics endpoint can be accessed without access control. Metrics endpoint can be accessed without access control.
You can use any random string for this value. We recommend generating a random token with `openssl rand -hex 32`. You can use any random string for this value. We recommend generating a random token with `openssl rand -base64 32`.
`metrics_token` was introduced in Garage `v0.7.2`. `metrics_token` was introduced in Garage `v0.7.2`.
`metrics_token_file` and the `GARAGE_METRICS_TOKEN` environment variable are supported since Garage `v0.8.2`. `metrics_token_file` and the `GARAGE_METRICS_TOKEN` environment variable are supported since Garage `v0.8.2`.
@ -614,7 +744,7 @@ You can use any random string for this value. We recommend generating a random t
The token for accessing all of the other administration endpoints. If this The token for accessing all of the other administration endpoints. If this
token is not set, access to these endpoints is disabled entirely. token is not set, access to these endpoints is disabled entirely.
You can use any random string for this value. We recommend generating a random token with `openssl rand -hex 32`. You can use any random string for this value. We recommend generating a random token with `openssl rand -base64 32`.
`admin_token` was introduced in Garage `v0.7.2`. `admin_token` was introduced in Garage `v0.7.2`.
`admin_token_file` and the `GARAGE_ADMIN_TOKEN` environment variable are supported since Garage `v0.8.2`. `admin_token_file` and the `GARAGE_ADMIN_TOKEN` environment variable are supported since Garage `v0.8.2`.

View file

@ -37,6 +37,21 @@ A Garage cluster can very easily evolve over time, as storage nodes are added or
Garage will automatically rebalance data between nodes as needed to ensure the desired number of copies. Garage will automatically rebalance data between nodes as needed to ensure the desired number of copies.
Read about cluster layout management [here](@/documentation/operations/layout.md). Read about cluster layout management [here](@/documentation/operations/layout.md).
### Several replication modes
Garage supports a variety of replication modes, with configurable replica count,
and with various levels of consistency, in order to adapt to a variety of usage scenarios.
Read our reference page on [supported replication modes](@/documentation/reference-manual/configuration.md#replication_factor)
to select the replication mode best suited to your use case (hint: in most cases, `replication_factor = 3` is what you want).
### Compression and deduplication
All data stored in Garage is deduplicated, and optionnally compressed using
Zstd. Objects uploaded to Garage are chunked in blocks of constant sizes (see
[`block_size`](@/documentation/reference-manual/configuration.md#block_size)),
and the hashes of individual blocks are used to dispatch them to storage nodes
and to deduplicate them.
### No RAFT slowing you down ### No RAFT slowing you down
It might seem strange to tout the absence of something as a desirable feature, It might seem strange to tout the absence of something as a desirable feature,
@ -48,13 +63,6 @@ As a consequence, requests can be handled much faster, even in cases where laten
between cluster nodes is important (see our [benchmarks](@/documentation/design/benchmarks/index.md) for data on this). between cluster nodes is important (see our [benchmarks](@/documentation/design/benchmarks/index.md) for data on this).
This is particularly usefull when nodes are far from one another and talk to one other through standard Internet connections. This is particularly usefull when nodes are far from one another and talk to one other through standard Internet connections.
### Several replication modes
Garage supports a variety of replication modes, with 1 copy, 2 copies or 3 copies of your data,
and with various levels of consistency, in order to adapt to a variety of usage scenarios.
Read our reference page on [supported replication modes](@/documentation/reference-manual/configuration.md#replication_mode)
to select the replication mode best suited to your use case (hint: in most cases, `replication_mode = "3"` is what you want).
### Web server for static websites ### Web server for static websites
A storage bucket can easily be configured to be served directly by Garage as a static web site. A storage bucket can easily be configured to be served directly by Garage as a static web site.

View file

@ -27,6 +27,112 @@ Exposes the Garage replication factor configured on the node
garage_replication_factor 3 garage_replication_factor 3
``` ```
#### `garage_local_disk_avail` and `garage_local_disk_total` (gauge)
Reports the available and total disk space on each node, for data and metadata separately.
```
garage_local_disk_avail{volume="data"} 540341960704
garage_local_disk_avail{volume="metadata"} 540341960704
garage_local_disk_total{volume="data"} 763063566336
garage_local_disk_total{volume="metadata"} 763063566336
```
### Cluster health status metrics
#### `cluster_healthy` (gauge)
Whether all storage nodes are connected (0 or 1)
```
cluster_healthy 0
```
#### `cluster_available` (gauge)
Whether all requests can be served, even if some storage nodes are disconnected
```
cluster_available 1
```
#### `cluster_connected_nodes` (gauge)
Number of nodes currently connected
```
cluster_connected_nodes 3
```
#### `cluster_known_nodes` (gauge)
Number of nodes already seen once in the cluster
```
cluster_known_nodes 3
```
#### `cluster_layout_node_connected` (gauge)
Connection status for individual nodes of the cluster layout
```
cluster_layout_node_connected{id="62b218d848e86a64",role_capacity="1000000000",role_gateway="0",role_zone="dc1"} 1
cluster_layout_node_connected{id="a11c7cf18af29737",role_capacity="1000000000",role_gateway="0",role_zone="dc1"} 0
cluster_layout_node_connected{id="a235ac7695e0c54d",role_capacity="1000000000",role_gateway="0",role_zone="dc1"} 1
cluster_layout_node_connected{id="b10c110e4e854e5a",role_capacity="1000000000",role_gateway="0",role_zone="dc1"} 1
```
#### `cluster_layout_node_disconnected_time` (gauge)
Time (in seconds) since last connection to individual nodes of the cluster layout
```
cluster_layout_node_disconnected_time{id="62b218d848e86a64",role_capacity="1000000000",role_gateway="0",role_zone="dc1"} 0
cluster_layout_node_disconnected_time{id="a235ac7695e0c54d",role_capacity="1000000000",role_gateway="0",role_zone="dc1"} 0
cluster_layout_node_disconnected_time{id="b10c110e4e854e5a",role_capacity="1000000000",role_gateway="0",role_zone="dc1"} 0
```
#### `cluster_storage_nodes` (gauge)
Number of storage nodes declared in the current layout
```
cluster_storage_nodes 4
```
#### `cluster_storage_nodes_ok` (gauge)
Number of storage nodes currently connected
```
cluster_storage_nodes_ok 3
```
#### `cluster_partitions` (gauge)
Number of partitions in the layout (this is always 256)
```
cluster_partitions 256
```
#### `cluster_partitions_all_ok` (gauge)
Number of partitions for which all storage nodes are connected
```
cluster_partitions_all_ok 64
```
#### `cluster_partitions_quorum` (gauge)
Number of partitions for which we have a quorum of connected nodes and all requests can be served
```
cluster_partitions_quorum 256
```
### Metrics of the API endpoints ### Metrics of the API endpoints
#### `api_admin_request_counter` (counter) #### `api_admin_request_counter` (counter)
@ -119,6 +225,17 @@ block_bytes_read 120586322022
block_bytes_written 3386618077 block_bytes_written 3386618077
``` ```
#### `block_ram_buffer_free_kb` (gauge)
Kibibytes available for buffering blocks that have to be sent to remote nodes.
When clients send too much data to this node and a storage node is not receiving
data fast enough due to slower network conditions, this will decrease down to
zero and backpressure will be applied.
```
block_ram_buffer_free_kb 219829
```
#### `block_compression_level` (counter) #### `block_compression_level` (counter)
Exposes the block compression level configured for the Garage node. Exposes the block compression level configured for the Garage node.

View file

@ -33,6 +33,7 @@ Feel free to open a PR to suggest fixes this table. Minio is missing because the
| [URL path-style](https://docs.aws.amazon.com/AmazonS3/latest/userguide/VirtualHosting.html#path-style-access) (eg. `host.tld/bucket/key`) | ✅ Implemented | ✅ | ✅ | ❓| ✅ | | [URL path-style](https://docs.aws.amazon.com/AmazonS3/latest/userguide/VirtualHosting.html#path-style-access) (eg. `host.tld/bucket/key`) | ✅ Implemented | ✅ | ✅ | ❓| ✅ |
| [URL vhost-style](https://docs.aws.amazon.com/AmazonS3/latest/userguide/VirtualHosting.html#virtual-hosted-style-access) URL (eg. `bucket.host.tld/key`) | ✅ Implemented | ❌| ✅| ✅ | ✅ | | [URL vhost-style](https://docs.aws.amazon.com/AmazonS3/latest/userguide/VirtualHosting.html#virtual-hosted-style-access) URL (eg. `bucket.host.tld/key`) | ✅ Implemented | ❌| ✅| ✅ | ✅ |
| [Presigned URLs](https://docs.aws.amazon.com/AmazonS3/latest/userguide/ShareObjectPreSignedURL.html) | ✅ Implemented | ❌| ✅ | ✅ | ✅(❓) | | [Presigned URLs](https://docs.aws.amazon.com/AmazonS3/latest/userguide/ShareObjectPreSignedURL.html) | ✅ Implemented | ❌| ✅ | ✅ | ✅(❓) |
| [SSE-C encryption](https://docs.aws.amazon.com/AmazonS3/latest/userguide/ServerSideEncryptionCustomerKeys.html) | ✅ Implemented | ❓ | ✅ | ❌ | ✅ |
*Note:* OpenIO does not says if it supports presigned URLs. Because it is part *Note:* OpenIO does not says if it supports presigned URLs. Because it is part
of signature v4 and they claim they support it without additional precisions, of signature v4 and they claim they support it without additional precisions,

View file

@ -0,0 +1,77 @@
+++
title = "Migrating from 0.9 to 1.0"
weight = 11
+++
**This guide explains how to migrate to 1.0 if you have an existing 0.9 cluster.
We don't recommend trying to migrate to 1.0 directly from 0.8 or older.**
This migration procedure has been tested on several clusters without issues.
However, it is still a *critical procedure* that might cause issues.
**Make sure to back up all your data before attempting it!**
You might also want to read our [general documentation on upgrading Garage](@/documentation/operations/upgrading.md).
## Changes introduced in v1.0
The following are **breaking changes** in Garage v1.0 that require your attention when migrating:
- The Sled metadata db engine has been **removed**. If your cluster was still
using Sled, you will need to **use a Garage v0.9.x binary** to convert the
database using the `garage convert-db` subcommand. See
[here](@/documentation/reference-manual/configuration.md#db_engine) for the
details of the procedure.
The following syntax changes have been made to the configuration file:
- The `replication_mode` parameter has been split into two parameters:
[`replication_factor`](@/documentation/reference-manual/configuration.md#replication_factor)
and
[`consistency_mode`](@/documentation/reference-manual/configuration.md#consistency_mode).
The old syntax using `replication_mode` is still supported for legacy
reasons and can still be used.
- The parameters `sled_cache_capacity` and `sled_flush_every_ms` have been removed.
## Migration procedure
The migration to Garage v1.0 can be done with almost no downtime,
by restarting all nodes at once in the new version.
The migration steps are as follows:
1. Do a `garage repair --all-nodes --yes tables`, check the logs and check that
all data seems to be synced correctly between nodes. If you have time, do
additional `garage repair` procedures (`blocks`, `versions`, `block_refs`,
etc.)
2. Ensure you have a snapshot of your Garage installation that you can restore
to in case the upgrade goes wrong:
- If you are running Garage v0.9.4 or later, use the `garage meta snapshot
--all` to make a backup snapshot of the metadata directories of your nodes
for backup purposes, and save a copy of the following files in the
metadata directories of your nodes: `cluster_layout`, `data_layout`,
`node_key`, `node_key.pub`.
- If you are running a filesystem such as ZFS or BTRFS that support
snapshotting, you can create a filesystem-level snapshot to be used as a
restoration point if needed.
- In other cases, make a backup using the old procedure: turn off each node
individually; back up its metadata folder (for instance, use the following
command if your metadata directory is `/var/lib/garage/meta`: `cd
/var/lib/garage ; tar -acf meta-v0.9.tar.zst meta/`); turn it back on
again. This will allow you to take a backup of all nodes without
impacting global cluster availability. You can do all nodes of a single
zone at once as this does not impact the availability of Garage.
3. Prepare your updated binaries and configuration files for Garage v1.0
4. Shut down all v0.9 nodes simultaneously, and restart them all simultaneously
in v1.0. Use your favorite deployment tool (Ansible, Kubernetes, Nomad) to
achieve this as fast as possible. Garage v1.0 should be in a working state
as soon as enough nodes have started.
5. Monitor your cluster in the following hours to see if it works well under
your production load.

View file

@ -8,9 +8,9 @@ listen address is specified in the `[admin]` section of the configuration
file (see [configuration file file (see [configuration file
reference](@/documentation/reference-manual/configuration.md)) reference](@/documentation/reference-manual/configuration.md))
**WARNING.** At this point, there is no comittement to stability of the APIs described in this document. **WARNING.** At this point, there is no commitment to the stability of the APIs described in this document.
We will bump the version numbers prefixed to each API endpoint at each time the syntax We will bump the version numbers prefixed to each API endpoint each time the syntax
or semantics change, meaning that code that relies on these endpoint will break or semantics change, meaning that code that relies on these endpoints will break
when changes are introduced. when changes are introduced.
The Garage administration API was introduced in version 0.7.2, this document The Garage administration API was introduced in version 0.7.2, this document
@ -19,7 +19,7 @@ does not apply to older versions of Garage.
## Access control ## Access control
The admin API uses two different tokens for acces control, that are specified in the config file's `[admin]` section: The admin API uses two different tokens for access control, that are specified in the config file's `[admin]` section:
- `metrics_token`: the token for accessing the Metrics endpoint (if this token - `metrics_token`: the token for accessing the Metrics endpoint (if this token
is not set in the config file, the Metrics endpoint can be accessed without is not set in the config file, the Metrics endpoint can be accessed without
@ -69,11 +69,10 @@ Example response body:
```json ```json
{ {
"node": "ec79480e0ce52ae26fd00c9da684e4fa56658d9c64cdcecb094e936de0bfe71f", "node": "b10c110e4e854e5aa3f4637681befac755154b20059ec163254ddbfae86b09df",
"garageVersion": "git:v0.9.0-dev", "garageVersion": "v1.0.1",
"garageFeatures": [ "garageFeatures": [
"k2v", "k2v",
"sled",
"lmdb", "lmdb",
"sqlite", "sqlite",
"metrics", "metrics",
@ -81,84 +80,93 @@ Example response body:
], ],
"rustVersion": "1.68.0", "rustVersion": "1.68.0",
"dbEngine": "LMDB (using Heed crate)", "dbEngine": "LMDB (using Heed crate)",
"knownNodes": [ "layoutVersion": 5,
"nodes": [
{ {
"id": "ec79480e0ce52ae26fd00c9da684e4fa56658d9c64cdcecb094e936de0bfe71f", "id": "62b218d848e86a64f7fe1909735f29a4350547b54c4b204f91246a14eb0a1a8c",
"addr": "10.0.0.11:3901", "role": {
"isUp": true, "id": "62b218d848e86a64f7fe1909735f29a4350547b54c4b204f91246a14eb0a1a8c",
"lastSeenSecsAgo": 9,
"hostname": "node1"
},
{
"id": "4a6ae5a1d0d33bf895f5bb4f0a418b7dc94c47c0dd2eb108d1158f3c8f60b0ff",
"addr": "10.0.0.12:3901",
"isUp": true,
"lastSeenSecsAgo": 1,
"hostname": "node2"
},
{
"id": "23ffd0cdd375ebff573b20cc5cef38996b51c1a7d6dbcf2c6e619876e507cf27",
"addr": "10.0.0.21:3901",
"isUp": true,
"lastSeenSecsAgo": 7,
"hostname": "node3"
},
{
"id": "e2ee7984ee65b260682086ec70026165903c86e601a4a5a501c1900afe28d84b",
"addr": "10.0.0.22:3901",
"isUp": true,
"lastSeenSecsAgo": 1,
"hostname": "node4"
}
],
"layout": {
"version": 12,
"roles": [
{
"id": "ec79480e0ce52ae26fd00c9da684e4fa56658d9c64cdcecb094e936de0bfe71f",
"zone": "dc1", "zone": "dc1",
"capacity": 10737418240, "capacity": 100000000000,
"tags": [ "tags": []
"node1" },
] "addr": "10.0.0.3:3901",
"hostname": "node3",
"isUp": true,
"lastSeenSecsAgo": 12,
"draining": false,
"dataPartition": {
"available": 660270088192,
"total": 873862266880
},
"metadataPartition": {
"available": 660270088192,
"total": 873862266880
}
}, },
{ {
"id": "4a6ae5a1d0d33bf895f5bb4f0a418b7dc94c47c0dd2eb108d1158f3c8f60b0ff", "id": "a11c7cf18af297379eff8688360155fe68d9061654449ba0ce239252f5a7487f",
"role": null,
"addr": "10.0.0.2:3901",
"hostname": "node2",
"isUp": true,
"lastSeenSecsAgo": 11,
"draining": true,
"dataPartition": {
"available": 660270088192,
"total": 873862266880
},
"metadataPartition": {
"available": 660270088192,
"total": 873862266880
}
},
{
"id": "a235ac7695e0c54d7b403943025f57504d500fdcc5c3e42c71c5212faca040a2",
"role": {
"id": "a235ac7695e0c54d7b403943025f57504d500fdcc5c3e42c71c5212faca040a2",
"zone": "dc1", "zone": "dc1",
"capacity": 10737418240, "capacity": 100000000000,
"tags": [ "tags": []
"node2" },
] "addr": "127.0.0.1:3904",
"hostname": "lindy",
"isUp": true,
"lastSeenSecsAgo": 2,
"draining": false,
"dataPartition": {
"available": 660270088192,
"total": 873862266880
},
"metadataPartition": {
"available": 660270088192,
"total": 873862266880
}
}, },
{ {
"id": "23ffd0cdd375ebff573b20cc5cef38996b51c1a7d6dbcf2c6e619876e507cf27", "id": "b10c110e4e854e5aa3f4637681befac755154b20059ec163254ddbfae86b09df",
"zone": "dc2", "role": {
"capacity": 10737418240, "id": "b10c110e4e854e5aa3f4637681befac755154b20059ec163254ddbfae86b09df",
"tags": [ "zone": "dc1",
"node3" "capacity": 100000000000,
] "tags": []
},
"addr": "10.0.0.1:3901",
"hostname": "node1",
"isUp": true,
"lastSeenSecsAgo": 3,
"draining": false,
"dataPartition": {
"available": 660270088192,
"total": 873862266880
},
"metadataPartition": {
"available": 660270088192,
"total": 873862266880
} }
],
"stagedRoleChanges": [
{
"id": "e2ee7984ee65b260682086ec70026165903c86e601a4a5a501c1900afe28d84b",
"remove": false,
"zone": "dc2",
"capacity": 10737418240,
"tags": [
"node4"
]
}
{
"id": "23ffd0cdd375ebff573b20cc5cef38996b51c1a7d6dbcf2c6e619876e507cf27",
"remove": true,
"zone": null,
"capacity": null,
"tags": null,
} }
] ]
} }
}
``` ```
#### GetClusterHealth `GET /v1/health` #### GetClusterHealth `GET /v1/health`

View file

@ -146,7 +146,7 @@ in a bucket, as the partition key becomes the sort key in the index.
How indexing works: How indexing works:
- Each node keeps a local count of how many items it stores for each partition, - Each node keeps a local count of how many items it stores for each partition,
in a local Sled tree that is updated atomically when an item is modified. in a local database tree that is updated atomically when an item is modified.
- These local counters are asynchronously stored in the index table which is - These local counters are asynchronously stored in the index table which is
a regular Garage table spread in the network. Counters are stored as LWW values, a regular Garage table spread in the network. Counters are stored as LWW values,
so basically the final table will have the following structure: so basically the final table will have the following structure:

17
doc/talks/2024-02-03-fosdem/.gitignore vendored Normal file
View file

@ -0,0 +1,17 @@
*
!*.txt
!*.md
!assets
!.gitignore
!*.svg
!*.png
!*.jpg
!*.tex
!Makefile
!.gitignore
!assets/*.drawio.pdf
!talk.pdf

View file

@ -0,0 +1,19 @@
ASSETS=../assets/lattice/lattice1.pdf_tex \
../assets/lattice/lattice2.pdf_tex \
../assets/lattice/lattice3.pdf_tex \
../assets/lattice/lattice4.pdf_tex \
../assets/lattice/lattice5.pdf_tex \
../assets/lattice/lattice6.pdf_tex \
../assets/lattice/lattice7.pdf_tex \
../assets/lattice/lattice8.pdf_tex \
../assets/logos/deuxfleurs.pdf \
../assets/timeline-22-24.pdf
talk.pdf: talk.tex $(ASSETS)
pdflatex talk.tex
%.pdf: %.svg
inkscape -D -z --file=$^ --export-pdf=$@
%.pdf_tex: %.svg
inkscape -D -z --file=$^ --export-pdf=$@ --export-latex

Binary file not shown.

View file

@ -0,0 +1,764 @@
\nonstopmode
\documentclass[aspectratio=169,xcolor={svgnames}]{beamer}
\usepackage[utf8]{inputenc}
% \usepackage[frenchb]{babel}
\usepackage{amsmath}
\usepackage{mathtools}
\usepackage{breqn}
\usepackage{multirow}
\usetheme{boxes}
\usepackage{graphicx}
\usepackage{import}
\usepackage{adjustbox}
\usepackage[absolute,overlay]{textpos}
%\useoutertheme[footline=authortitle,subsection=false]{miniframes}
%\useoutertheme[footline=authorinstitute,subsection=false]{miniframes}
\useoutertheme{infolines}
\setbeamertemplate{headline}{}
\beamertemplatenavigationsymbolsempty
\definecolor{TitleOrange}{RGB}{255,137,0}
\setbeamercolor{title}{fg=TitleOrange}
\setbeamercolor{frametitle}{fg=TitleOrange}
\definecolor{ListOrange}{RGB}{255,145,5}
\setbeamertemplate{itemize item}{\color{ListOrange}$\blacktriangleright$}
\definecolor{verygrey}{RGB}{70,70,70}
\setbeamercolor{normal text}{fg=verygrey}
\usepackage{tabu}
\usepackage{multicol}
\usepackage{vwcol}
\usepackage{stmaryrd}
\usepackage{graphicx}
\usepackage[normalem]{ulem}
\AtBeginSection[]{
\begin{frame}
\vfill
\centering
\begin{beamercolorbox}[sep=8pt,center,shadow=true,rounded=true]{title}
\usebeamerfont{title}\insertsectionhead\par%
\end{beamercolorbox}
\vfill
\end{frame}
}
\title{Garage, the low-tech storage platform for geo-distributed clusters}
\author{Alex Auvolat, Deuxfleurs}
\date{FOSDEM'24, 2024-02-03}
\begin{document}
\begin{frame}
\centering
\includegraphics[width=.3\linewidth]{../../sticker/Garage.png}
\vspace{1em}
{\large\bf Alex Auvolat, Deuxfleurs Association}
\vspace{1em}
\url{https://garagehq.deuxfleurs.fr/}
Matrix channel: \texttt{\#garage:deuxfleurs.fr}
\end{frame}
\begin{frame}
\frametitle{Who I am}
\begin{columns}[t]
\begin{column}{.2\textwidth}
\centering
\adjincludegraphics[width=.4\linewidth, valign=t]{../assets/alex.jpg}
\end{column}
\begin{column}{.6\textwidth}
\textbf{Alex Auvolat}\\
PhD; co-founder of Deuxfleurs
\end{column}
\begin{column}{.2\textwidth}
~
\end{column}
\end{columns}
\vspace{2em}
\begin{columns}[t]
\begin{column}{.2\textwidth}
\centering
\adjincludegraphics[width=.5\linewidth, valign=t]{../assets/logos/deuxfleurs.pdf}
\end{column}
\begin{column}{.6\textwidth}
\textbf{Deuxfleurs}\\
A non-profit self-hosting collective,\\
member of the CHATONS network
\end{column}
\begin{column}{.2\textwidth}
\centering
\adjincludegraphics[width=.7\linewidth, valign=t]{../assets/logos/logo_chatons.png}
\end{column}
\end{columns}
\end{frame}
\begin{frame}
\frametitle{Our objective at Deuxfleurs}
\begin{center}
\textbf{Promote self-hosting and small-scale hosting\\
as an alternative to large cloud providers}
\end{center}
\vspace{2em}
\visible<2->{
Why is it hard?
}
\visible<3->{
\vspace{2em}
\begin{center}
\textbf{\underline{Resilience}}\\
{\footnotesize we want good uptime/availability with low supervision}
\end{center}
}
\end{frame}
\begin{frame}
\frametitle{Building a resilient system with cheap stuff}
\only<1,4-7>{
\begin{itemize}
\item \textcolor<5->{gray}{Commodity hardware (e.g. old desktop PCs)\\
\vspace{.5em}
\visible<4->{{\footnotesize (can die at any time)}}}
\vspace{1.5em}
\item<5-> \textcolor<7->{gray}{Regular Internet (e.g. FTTB, FTTH) and power grid connections\\
\vspace{.5em}
\visible<6->{{\footnotesize (can be unavailable randomly)}}}
\vspace{1.5em}
\item<7-> \textbf{Geographical redundancy} (multi-site replication)
\end{itemize}
}
\only<2>{
\begin{center}
\includegraphics[width=.8\linewidth]{../assets/neptune.jpg}
\end{center}
}
\only<3>{
\begin{center}
\includegraphics[width=.8\linewidth]{../assets/atuin.jpg}
\end{center}
}
\only<8>{
\begin{center}
\includegraphics[width=.8\linewidth]{../assets/inframap_jdll2023.pdf}
\end{center}
}
\end{frame}
\begin{frame}
\frametitle{Object storage: a crucial component}
\begin{center}
\includegraphics[height=6em]{../assets/logos/Amazon-S3.jpg}
\hspace{3em}
\visible<2->{\includegraphics[height=5em]{../assets/logos/minio.png}}
\hspace{3em}
\visible<3>{\includegraphics[height=6em]{../../logo/garage_hires_crop.png}}
\end{center}
\vspace{1em}
S3: a de-facto standard, many compatible applications
\vspace{1em}
\visible<2->{MinIO is self-hostable but not suited for geo-distributed deployments}
\vspace{1em}
\visible<3->{\textbf{Garage is a self-hosted drop-in replacement for the Amazon S3 object store}}
\end{frame}
\begin{frame}
\frametitle{CRDTs / weak consistency instead of consensus}
\underline{Internally, Garage uses only CRDTs} (conflict-free replicated data types)
\vspace{2em}
Why not Raft, Paxos, ...? Issues of consensus algorithms:
\vspace{1em}
\begin{itemize}
\item<2-> \textbf{Software complexity}
\vspace{1em}
\item<3-> \textbf{Performance issues:}
\vspace{.5em}
\begin{itemize}
\item<4-> The leader is a \textbf{bottleneck} for all requests\\
\vspace{.5em}
\item<5-> \textbf{Sensitive to higher latency} between nodes
\vspace{.5em}
\item<6-> \textbf{Takes time to reconverge} when disrupted (e.g. node going down)
\end{itemize}
\end{itemize}
\end{frame}
\begin{frame}
\frametitle{The data model of object storage}
Object storage is basically a \textbf{key-value store}:
\vspace{.5em}
{\scriptsize
\begin{center}
\begin{tabular}{|l|p{7cm}|}
\hline
\textbf{Key: file path + name} & \textbf{Value: file data + metadata} \\
\hline
\hline
\texttt{index.html} &
\texttt{Content-Type: text/html; charset=utf-8} \newline
\texttt{Content-Length: 24929} \newline
\texttt{<binary blob>} \\
\hline
\texttt{img/logo.svg} &
\texttt{Content-Type: text/svg+xml} \newline
\texttt{Content-Length: 13429} \newline
\texttt{<binary blob>} \\
\hline
\texttt{download/index.html} &
\texttt{Content-Type: text/html; charset=utf-8} \newline
\texttt{Content-Length: 26563} \newline
\texttt{<binary blob>} \\
\hline
\end{tabular}
\end{center}
}
\vspace{1em}
\begin{itemize}
\item<2> Maps well to CRDT data types
\end{itemize}
\end{frame}
\begin{frame}
\frametitle{Performance gains in practice}
\begin{center}
\includegraphics[width=.8\linewidth]{../assets/perf/endpoint_latency_0.7_0.8_minio.png}
\end{center}
\end{frame}
% ======================================== TIMELINE
% ======================================== TIMELINE
% ======================================== TIMELINE
\section{Recent developments}
% ====================== v0.7.0 ===============================
\begin{frame}
\begin{center}
\includegraphics[width=.8\linewidth]{../assets/timeline-22-24.pdf}
\end{center}
\end{frame}
\begin{frame}
\frametitle{April 2022 - Garage v0.7.0}
Focus on \underline{observability and ecosystem integration}
\vspace{2em}
\begin{itemize}
\item \textbf{Monitoring:} metrics and traces, using OpenTelemetry
\vspace{1em}
\item Replication modes with 1 or 2 copies / weaker consistency
\vspace{1em}
\item Kubernetes integration for node discovery
\vspace{1em}
\item Admin API (v0.7.2)
\end{itemize}
\end{frame}
\begin{frame}
\frametitle{Metrics (Prometheus + Grafana)}
\begin{center}
\includegraphics[width=.9\linewidth]{../assets/screenshots/grafana_dashboard.png}
\end{center}
\end{frame}
\begin{frame}
\frametitle{Traces (Jaeger)}
\begin{center}
\includegraphics[width=.8\linewidth]{../assets/screenshots/jaeger_listobjects.png}
\end{center}
\end{frame}
% ====================== v0.8.0 ===============================
\begin{frame}
\begin{center}
\includegraphics[width=.8\linewidth]{../assets/timeline-22-24.pdf}
\end{center}
\end{frame}
\begin{frame}
\frametitle{November 2022 - Garage v0.8.0}
Focus on \underline{performance}
\vspace{2em}
\begin{itemize}
\item \textbf{Alternative metadata DB engines} (LMDB, Sqlite)
\vspace{1em}
\item \textbf{Performance improvements:} block streaming, various optimizations...
\vspace{1em}
\item Bucket quotas (max size, max \#objects)
\vspace{1em}
\item Quality of life improvements, observability, etc.
\end{itemize}
\end{frame}
\begin{frame}
\frametitle{About metadata DB engines}
\textbf{Issues with Sled:}
\vspace{1em}
\begin{itemize}
\item Huge files on disk
\vspace{.5em}
\item Unpredictable performance, especially on HDD
\vspace{.5em}
\item API limitations
\vspace{.5em}
\item Not actively maintained
\end{itemize}
\vspace{2em}
\textbf{LMDB:} very stable, good performance, file size is reasonable\\
\textbf{Sqlite} also available as a second choice
\vspace{1em}
Sled will be removed in Garage v1.0
\end{frame}
\begin{frame}
\frametitle{DB engine performance comparison}
\begin{center}
\includegraphics[width=.6\linewidth]{../assets/perf/db_engine.png}
\end{center}
NB: Sqlite was slow due to synchronous mode, now configurable
\end{frame}
\begin{frame}
\frametitle{Block streaming}
\begin{center}
\only<1>{\includegraphics[width=.8\linewidth]{../assets/schema-streaming-1.png}}
\only<2>{\includegraphics[width=.8\linewidth]{../assets/schema-streaming-2.png}}
\end{center}
\end{frame}
\begin{frame}
\frametitle{TTFB benchmark}
\begin{center}
\includegraphics[width=.8\linewidth]{../assets/perf/ttfb.png}
\end{center}
\end{frame}
\begin{frame}
\frametitle{Throughput benchmark}
\begin{center}
\includegraphics[width=.7\linewidth]{../assets/perf/io-0.7-0.8-minio.png}
\end{center}
\end{frame}
% ====================== v0.9.0 ===============================
\begin{frame}
\begin{center}
\includegraphics[width=.8\linewidth]{../assets/timeline-22-24.pdf}
\end{center}
\end{frame}
\begin{frame}
\frametitle{October 2023 - Garage v0.9.0}
Focus on \underline{streamlining \& usability}
\vspace{2em}
\begin{itemize}
\item Support multiple HDDs per node
\vspace{1em}
\item S3 compatibility:
\vspace{1em}
\begin{itemize}
\item support basic lifecycle configurations
\vspace{.5em}
\item allow for multipart upload part retries
\end{itemize}
\vspace{1em}
\item LMDB by default, deprecation of Sled
\vspace{1em}
\item New layout computation algorithm
\end{itemize}
\end{frame}
\begin{frame}
\frametitle{Layout computation}
\begin{overprint}
\onslide<1>
\begin{center}
\includegraphics[width=\linewidth, trim=0 0 0 -4cm]{../assets/screenshots/garage_status_0.9_prod_zonehl.png}
\end{center}
\onslide<2>
\begin{center}
\includegraphics[width=.7\linewidth]{../assets/map.png}
\end{center}
\end{overprint}
\vspace{1em}
Garage stores replicas on different zones when possible
\end{frame}
\begin{frame}
\frametitle{What a "layout" is}
\textbf{A layout is a precomputed index table:}
\vspace{1em}
{\footnotesize
\begin{center}
\begin{tabular}{|l|l|l|l|}
\hline
\textbf{Partition} & \textbf{Node 1} & \textbf{Node 2} & \textbf{Node 3} \\
\hline
\hline
Partition 0 & df-ymk (bespin) & Abricot (scorpio) & Courgette (neptune) \\
\hline
Partition 1 & Ananas (scorpio) & Courgette (neptune) & df-ykl (bespin) \\
\hline
Partition 2 & df-ymf (bespin) & Celeri (neptune) & Abricot (scorpio) \\
\hline
\hspace{1em}$\vdots$ & \hspace{1em}$\vdots$ & \hspace{1em}$\vdots$ & \hspace{1em}$\vdots$ \\
\hline
Partition 255 & Concombre (neptune) & df-ykl (bespin) & Abricot (scorpio) \\
\hline
\end{tabular}
\end{center}
}
\vspace{2em}
\visible<2->{
The index table is built centrally using an optimal algorithm,\\
then propagated to all nodes
}
\vspace{1em}
\visible<3->{
\footnotesize
Oulamara, M., \& Auvolat, A. (2023). \emph{An algorithm for geo-distributed and redundant storage in Garage}.\\ arXiv preprint arXiv:2302.13798.
}
\end{frame}
% ====================== v0.10.0 ===============================
\begin{frame}
\begin{center}
\includegraphics[width=.8\linewidth]{../assets/timeline-22-24.pdf}
\end{center}
\end{frame}
\begin{frame}
\frametitle{October 2023 - Garage v0.10.0 beta}
Focus on \underline{consistency}
\vspace{2em}
\begin{itemize}
\item Fix consistency issues when reshuffling data
\end{itemize}
\end{frame}
\begin{frame}
\frametitle{Working with weak consistency}
Not using consensus limits us to the following:
\vspace{2em}
\begin{itemize}
\item<2-> \textbf{Conflict-free replicated data types} (CRDT)\\
\vspace{1em}
{\footnotesize Non-transactional key-value stores such as S3 are equivalent to a simple CRDT:\\
a map of \textbf{last-writer-wins registers} (each key is its own CRDT)}
\vspace{1.5em}
\item<3-> \textbf{Read-after-write consistency}\\
\vspace{1em}
{\footnotesize Can be implemented using quorums on read and write operations}
\end{itemize}
\end{frame}
\begin{frame}[t]
\frametitle{CRDT read-after-write consistency using quorums}
\vspace{1em}
{\small
\textbf{Property:} If client 1 did an operation $write(x)$ and received an OK response,\\
\hspace{2cm} and client 2 starts an operation $read()$ after client 1 received OK,\\
\hspace{2cm} then client 2 will read a value $x' \sqsupseteq x$.
}
\vspace{1.5em}
\begin{overprint}
\onslide<2-9>
\begin{figure}
\centering
\footnotesize
\def\svgwidth{.7\textwidth}
\only<2>{\import{../assets/lattice/}{lattice1.pdf_tex}}%
\only<3>{\import{../assets/lattice/}{lattice2.pdf_tex}}%
\only<4>{\import{../assets/lattice/}{lattice3.pdf_tex}}%
\only<5>{\import{../assets/lattice/}{lattice4.pdf_tex}}%
\only<6>{\import{../assets/lattice/}{lattice5.pdf_tex}}%
\only<7>{\import{../assets/lattice/}{lattice6.pdf_tex}}%
\only<8>{\import{../assets/lattice/}{lattice7.pdf_tex}}%
\only<9>{\import{../assets/lattice/}{lattice8.pdf_tex}}%
\end{figure}
\onslide<10>
\begin{minipage}{.10\textwidth}
~
\end{minipage}
\begin{minipage}{.40\textwidth}
\footnotesize
\textbf{Algorithm $write(x)$:}
\begin{enumerate}
\item Broadcast $write(x)$ to all nodes
\item Wait for $k > n/2$ nodes to reply OK
\item Return OK
\end{enumerate}
\end{minipage}
\begin{minipage}{.40\textwidth}
\footnotesize
\vspace{1em}
\textbf{Algorithm $read()$:}
\begin{enumerate}
\item Broadcast $read()$ to all nodes
\item Wait for $k > n/2$ nodes to reply\\
with values $x_1, \dots, x_k$
\item Return $x_1 \sqcup \dots \sqcup x_k$
\end{enumerate}
\end{minipage}
\end{overprint}
\end{frame}
\begin{frame}
\frametitle{A hard problem: layout changes}
\begin{itemize}
\item We rely on quorums $k > n/2$ within each partition:\\
$$n=3,~~~~~~~k\ge 2$$
\item<2-> When rebalancing, the set of nodes responsible for a partition can change:\\
\vspace{1em}
\begin{minipage}{.04\linewidth}~
\end{minipage}
\begin{minipage}{.40\linewidth}
{\tiny
\begin{tabular}{|l|l|l|l|}
\hline
\textbf{Partition} & \textbf{Node 1} & \textbf{Node 2} & \textbf{Node 3} \\
\hline
\hline
Partition 0 & \textcolor{Crimson}{df-ymk} & Abricot & \textcolor{Crimson}{Courgette} \\
\hline
Partition 1 & Ananas & \textcolor{Crimson}{Courgette} & \textcolor{Crimson}{df-ykl} \\
\hline
Partition 2 & \textcolor{Crimson}{df-ymf} & \textcolor{Crimson}{Celeri} & Abricot \\
\hline
\hspace{1em}$\dots$ & \hspace{1em}$\dots$ & \hspace{1em}$\dots$ & \hspace{1em}$\dots$ \\
\hline
\end{tabular}
}
\end{minipage}
\begin{minipage}{.04\linewidth}
$\to$
\end{minipage}
\begin{minipage}{.40\linewidth}
{\tiny
\begin{tabular}{|l|l|l|l|}
\hline
\textbf{Partition} & \textbf{Node 1} & \textbf{Node 2} & \textbf{Node 3} \\
\hline
\hline
Partition 0 & \textcolor{ForestGreen}{Dahlia} & Abricot & \textcolor{ForestGreen}{Eucalyptus} \\
\hline
Partition 1 & Ananas & \textcolor{ForestGreen}{Euphorbe} & \textcolor{ForestGreen}{Doradille} \\
\hline
Partition 2 & \textcolor{ForestGreen}{Dahlia} & \textcolor{ForestGreen}{Echinops} & Abricot \\
\hline
\hspace{1em}$\dots$ & \hspace{1em}$\dots$ & \hspace{1em}$\dots$ & \hspace{1em}$\dots$ \\
\hline
\end{tabular}
}
\end{minipage}
\vspace{2em}
\item<3-> During the rebalancing, new nodes don't yet have the data,\\
~~~~~~~~~~~~~~~~~~~and old nodes want to get rid of the data to free up space\\
\vspace{1.2em}
$\to$ risk of inconsistency, \textbf{how to coordinate?}
\end{itemize}
\end{frame}
\begin{frame}
\frametitle{Handling layout changes without losing consistency}
\begin{minipage}{.55\textwidth}
\begin{itemize}
\item \textbf{Solution:}\\
\vspace{.5em}
\begin{itemize}
\item keep track of data transfer to new nodes
\vspace{.5em}
\item use multiple write quorums\\
(new nodes + old nodes\\
while data transfer is in progress)
\vspace{.5em}
\item switching reads to new nodes\\
only once copy is finished
\end{itemize}
\vspace{1em}
\item \textbf{Implemented} in v0.10
\vspace{1em}
\item \textbf{Validated} with Jepsen testing
\end{itemize}
\end{minipage}
\begin{minipage}{.23\textwidth}
\includegraphics[width=3cm]{../assets/jepsen-0.9.png}\\
{\footnotesize Garage v0.9.0}
\end{minipage}
\begin{minipage}{.2\textwidth}
\includegraphics[width=3cm]{../assets/jepsen-0.10.png}\\
{\footnotesize Garage v0.10 beta}
\end{minipage}
\end{frame}
% ====================== v0.10.0 ===============================
\begin{frame}
\begin{center}
\includegraphics[width=.8\linewidth]{../assets/timeline-22-24.pdf}
\end{center}
\end{frame}
\begin{frame}
\frametitle{Towards v1.0...}
Focus on \underline{security \& stability}
\vspace{2em}
\begin{itemize}
\item \textbf{Security audit} in progress by Radically Open Security
\vspace{1em}
\item Misc. S3 features (SSE-C, ...) and compatibility fixes
\vspace{1em}
\item Improve UX
\vspace{1em}
\item Fix bugs
\end{itemize}
\end{frame}
\begin{frame}
\frametitle{...and beyond!}
\begin{center}
\includegraphics[width=.6\linewidth]{../assets/survey_requested_features.png}
\end{center}
\end{frame}
% ======================================== OPERATING
% ======================================== OPERATING
% ======================================== OPERATING
\section{Operating big Garage clusters}
\begin{frame}
\frametitle{Operating Garage}
\begin{center}
\only<1-2>{
\includegraphics[width=.9\linewidth]{../assets/screenshots/garage_status_0.10.png}
\\\vspace{1em}
\visible<2>{\includegraphics[width=.9\linewidth]{../assets/screenshots/garage_status_unhealthy_0.10.png}}
}
\end{center}
\end{frame}
\begin{frame}
\frametitle{Garage's architecture}
\begin{center}
\only<1>{\includegraphics[width=.45\linewidth]{../assets/garage.drawio.pdf}}%
\only<2>{\includegraphics[width=.6\linewidth]{../assets/garage_sync.drawio.pdf}}%
\end{center}
\end{frame}
\begin{frame}
\frametitle{Digging deeper}
\begin{center}
\only<1>{\includegraphics[width=.9\linewidth]{../assets/screenshots/garage_stats_0.10.png}}
\only<2>{\includegraphics[width=.5\linewidth]{../assets/screenshots/garage_worker_list_0.10.png}}
\only<3>{\includegraphics[width=.6\linewidth]{../assets/screenshots/garage_worker_param_0.10.png}}
\end{center}
\end{frame}
\begin{frame}
\frametitle{Potential limitations and bottlenecks}
\begin{itemize}
\item Global:
\begin{itemize}
\item Max. $\sim$100 nodes per cluster (excluding gateways)
\end{itemize}
\vspace{1em}
\item Metadata:
\begin{itemize}
\item One big bucket = bottleneck, object list on 3 nodes only
\end{itemize}
\vspace{1em}
\item Block manager:
\begin{itemize}
\item Lots of small files on disk
\item Processing the resync queue can be slow
\end{itemize}
\end{itemize}
\end{frame}
\begin{frame}
\frametitle{Deployment advice for very large clusters}
\begin{itemize}
\item Metadata storage:
\begin{itemize}
\item ZFS mirror (x2) on fast NVMe
\item Use LMDB storage engine
\end{itemize}
\vspace{.5em}
\item Data block storage:
\begin{itemize}
\item Use Garage's native multi-HDD support
\item XFS on individual drives
\item Increase block size (1MB $\to$ 10MB, requires more RAM and good networking)
\item Tune \texttt{resync-tranquility} and \texttt{resync-worker-count} dynamically
\end{itemize}
\vspace{.5em}
\item Other :
\begin{itemize}
\item Split data over several buckets
\item Use less than 100 storage nodes
\item Use gateway nodes
\end{itemize}
\vspace{.5em}
\end{itemize}
Our deployments: $< 10$ TB. Some people have done more!
\end{frame}
% ======================================== END
% ======================================== END
% ======================================== END
\begin{frame}
\frametitle{Where to find us}
\begin{center}
\includegraphics[width=.25\linewidth]{../../logo/garage_hires.png}\\
\vspace{-1em}
\url{https://garagehq.deuxfleurs.fr/}\\
\url{mailto:garagehq@deuxfleurs.fr}\\
\texttt{\#garage:deuxfleurs.fr} on Matrix
\vspace{1.5em}
\includegraphics[width=.06\linewidth]{../assets/logos/rust_logo.png}
\includegraphics[width=.13\linewidth]{../assets/logos/AGPLv3_Logo.png}
\end{center}
\end{frame}
\end{document}
%% vim: set ts=4 sw=4 tw=0 noet spelllang=en :

View file

@ -0,0 +1,17 @@
*
!*.txt
!*.md
!assets
!.gitignore
!*.svg
!*.png
!*.jpg
!*.tex
!Makefile
!.gitignore
!assets/*.drawio.pdf
!talk.pdf

View file

@ -0,0 +1,10 @@
ASSETS=../assets/logos/deuxfleurs.pdf
talk.pdf: talk.tex $(ASSETS)
pdflatex talk.tex
%.pdf: %.svg
inkscape -D -z --file=$^ --export-pdf=$@
%.pdf_tex: %.svg
inkscape -D -z --file=$^ --export-pdf=$@ --export-latex

Binary file not shown.

View file

@ -0,0 +1,543 @@
\nonstopmode
\documentclass[aspectratio=169,xcolor={svgnames}]{beamer}
\usepackage[utf8]{inputenc}
% \usepackage[frenchb]{babel}
\usepackage{amsmath}
\usepackage{mathtools}
\usepackage{breqn}
\usepackage{multirow}
\usetheme{boxes}
\usepackage{graphicx}
\usepackage{import}
\usepackage{adjustbox}
\usepackage[absolute,overlay]{textpos}
%\useoutertheme[footline=authortitle,subsection=false]{miniframes}
%\useoutertheme[footline=authorinstitute,subsection=false]{miniframes}
\useoutertheme{infolines}
\setbeamertemplate{headline}{}
\beamertemplatenavigationsymbolsempty
\definecolor{TitleOrange}{RGB}{255,137,0}
\setbeamercolor{title}{fg=TitleOrange}
\setbeamercolor{frametitle}{fg=TitleOrange}
\definecolor{ListOrange}{RGB}{255,145,5}
\setbeamertemplate{itemize item}{\color{ListOrange}$\blacktriangleright$}
\definecolor{verygrey}{RGB}{70,70,70}
\setbeamercolor{normal text}{fg=verygrey}
\usepackage{tabu}
\usepackage{multicol}
\usepackage{vwcol}
\usepackage{stmaryrd}
\usepackage{graphicx}
\usepackage[normalem]{ulem}
\AtBeginSection[]{
\begin{frame}
\vfill
\centering
\begin{beamercolorbox}[sep=8pt,center,shadow=true,rounded=true]{title}
\usebeamerfont{title}\insertsectionhead\par%
\end{beamercolorbox}
\vfill
\end{frame}
}
\title{Garage}
\author{Alex Auvolat, Deuxfleurs}
\date{Capitoul, 2024-02-29}
\begin{document}
\begin{frame}
\centering
\includegraphics[width=.3\linewidth]{../../sticker/Garage.png}
\vspace{1em}
{\large\bf Alex Auvolat, Deuxfleurs Association}
\vspace{1em}
\url{https://garagehq.deuxfleurs.fr/}
Matrix channel: \texttt{\#garage:deuxfleurs.fr}
\end{frame}
\begin{frame}
\frametitle{Who I am}
\begin{columns}[t]
\begin{column}{.2\textwidth}
\centering
\adjincludegraphics[width=.4\linewidth, valign=t]{../assets/alex.jpg}
\end{column}
\begin{column}{.6\textwidth}
\textbf{Alex Auvolat}\\
PhD; co-founder of Deuxfleurs
\end{column}
\begin{column}{.2\textwidth}
~
\end{column}
\end{columns}
\vspace{2em}
\begin{columns}[t]
\begin{column}{.2\textwidth}
\centering
\adjincludegraphics[width=.5\linewidth, valign=t]{../assets/logos/deuxfleurs.pdf}
\end{column}
\begin{column}{.6\textwidth}
\textbf{Deuxfleurs}\\
A non-profit self-hosting collective,\\
member of the CHATONS network
\end{column}
\begin{column}{.2\textwidth}
\centering
\adjincludegraphics[width=.7\linewidth, valign=t]{../assets/logos/logo_chatons.png}
\end{column}
\end{columns}
\end{frame}
\begin{frame}
\frametitle{Our objective at Deuxfleurs}
\begin{center}
\textbf{Promote self-hosting and small-scale hosting\\
as an alternative to large cloud providers}
\end{center}
\vspace{2em}
\visible<2->{
Why is it hard?
\vspace{2em}
\begin{center}
\textbf{\underline{Resilience}}\\
{\footnotesize we want good uptime/availability with low supervision}
\end{center}
}
\end{frame}
\begin{frame}
\frametitle{Our very low-tech infrastructure}
\only<1,3-6>{
\begin{itemize}
\item \textcolor<4->{gray}{Commodity hardware (e.g. old desktop PCs)\\
\vspace{.5em}
\visible<3->{{\footnotesize (can die at any time)}}}
\vspace{1.5em}
\item<4-> \textcolor<6->{gray}{Regular Internet (e.g. FTTB, FTTH) and power grid connections\\
\vspace{.5em}
\visible<5->{{\footnotesize (can be unavailable randomly)}}}
\vspace{1.5em}
\item<6-> \textbf{Geographical redundancy} (multi-site replication)
\end{itemize}
}
\only<2>{
\begin{center}
\includegraphics[width=.8\linewidth]{../assets/neptune.jpg}
\end{center}
}
\only<7>{
\begin{center}
\includegraphics[width=.8\linewidth]{../assets/inframap_jdll2023.pdf}
\end{center}
}
\end{frame}
\begin{frame}
\frametitle{How to make this happen}
\begin{center}
\only<1>{\includegraphics[width=.8\linewidth]{../assets/intro/slide1.png}}%
\only<2>{\includegraphics[width=.8\linewidth]{../assets/intro/slide2.png}}%
\only<3>{\includegraphics[width=.8\linewidth]{../assets/intro/slide3.png}}%
\end{center}
\end{frame}
\begin{frame}
\frametitle{Distributed file systems are slow}
File systems are complex, for example:
\vspace{1em}
\begin{itemize}
\item Concurrent modification by several processes
\vspace{1em}
\item Folder hierarchies
\vspace{1em}
\item Other requirements of the POSIX spec (e.g.~locks)
\end{itemize}
\vspace{1em}
Coordination in a distributed system is costly
\vspace{1em}
Costs explode with commodity hardware / Internet connections\\
{\small (we experienced this!)}
\end{frame}
\begin{frame}
\frametitle{A simpler solution: object storage}
Only two operations:
\vspace{1em}
\begin{itemize}
\item Put an object at a key
\vspace{1em}
\item Retrieve an object from its key
\end{itemize}
\vspace{1em}
{\footnotesize (and a few others)}
\vspace{1em}
Sufficient for many applications!
\end{frame}
\begin{frame}
\frametitle{A simpler solution: object storage}
\begin{center}
\includegraphics[height=6em]{../assets/logos/Amazon-S3.jpg}
\hspace{3em}
\visible<2->{\includegraphics[height=5em]{../assets/logos/minio.png}}
\hspace{3em}
\visible<3>{\includegraphics[height=6em]{../../logo/garage_hires_crop.png}}
\end{center}
\vspace{1em}
S3: a de-facto standard, many compatible applications
\vspace{1em}
\visible<2->{MinIO is self-hostable but not suited for geo-distributed deployments}
\vspace{1em}
\visible<3->{\textbf{Garage is a self-hosted drop-in replacement for the Amazon S3 object store}}
\end{frame}
% --------- BASED ON CRDTS ----------
\section{Principle 1: based on CRDTs}
\begin{frame}
\frametitle{CRDTs / weak consistency instead of consensus}
\underline{Internally, Garage uses only CRDTs} (conflict-free replicated data types)
\vspace{2em}
Why not Raft, Paxos, ...? Issues of consensus algorithms:
\vspace{1em}
\begin{itemize}
\item<2-> \textbf{Software complexity}
\vspace{1em}
\item<3-> \textbf{Performance issues:}
\vspace{.5em}
\begin{itemize}
\item<4-> The leader is a \textbf{bottleneck} for all requests\\
\vspace{.5em}
\item<5-> \textbf{Sensitive to higher latency} between nodes
\vspace{.5em}
\item<6-> \textbf{Takes time to reconverge} when disrupted (e.g. node going down)
\end{itemize}
\end{itemize}
\end{frame}
\begin{frame}
\frametitle{The data model of object storage}
Object storage is basically a \textbf{key-value store}:
\vspace{.5em}
{\scriptsize
\begin{center}
\begin{tabular}{|l|p{7cm}|}
\hline
\textbf{Key: file path + name} & \textbf{Value: file data + metadata} \\
\hline
\hline
\texttt{index.html} &
\texttt{Content-Type: text/html; charset=utf-8} \newline
\texttt{Content-Length: 24929} \newline
\texttt{<binary blob>} \\
\hline
\texttt{img/logo.svg} &
\texttt{Content-Type: text/svg+xml} \newline
\texttt{Content-Length: 13429} \newline
\texttt{<binary blob>} \\
\hline
\texttt{download/index.html} &
\texttt{Content-Type: text/html; charset=utf-8} \newline
\texttt{Content-Length: 26563} \newline
\texttt{<binary blob>} \\
\hline
\end{tabular}
\end{center}
}
\vspace{.5em}
\begin{itemize}
\item<2-> Maps well to CRDT data types
\item<3> Read-after-write consistency with quorums
\end{itemize}
\end{frame}
\begin{frame}
\frametitle{Performance gains in practice}
\begin{center}
\includegraphics[width=.8\linewidth]{../assets/perf/endpoint_latency_0.7_0.8_minio.png}
\end{center}
\end{frame}
% --------- GEO-DISTRIBUTED MODEL ----------
\section{Principle 2: geo-distributed data model}
\begin{frame}
\frametitle{Key-value stores, upgraded: the Dynamo model}
\textbf{Two keys:}
\begin{itemize}
\item Partition key: used to divide data into partitions {\small (a.k.a.~shards)}
\item Sort key: used to identify items inside a partition
\end{itemize}
\vspace{1em}
\begin{center}
\begin{tabular}{|l|l|p{3cm}|}
\hline
\textbf{Partition key: bucket} & \textbf{Sort key: filename} & \textbf{Value} \\
\hline
\hline
\texttt{website} & \texttt{index.html} & (file data) \\
\hline
\texttt{website} & \texttt{img/logo.svg} & (file data) \\
\hline
\texttt{website} & \texttt{download/index.html} & (file data) \\
\hline
\hline
\texttt{backup} & \texttt{borg/index.2822} & (file data) \\
\hline
\texttt{backup} & \texttt{borg/data/2/2329} & (file data) \\
\hline
\texttt{backup} & \texttt{borg/data/2/2680} & (file data) \\
\hline
\hline
\texttt{private} & \texttt{qq3a2nbe1qjq0ebbvo6ocsp6co} & (file data) \\
\hline
\end{tabular}
\end{center}
\end{frame}
\begin{frame}
\frametitle{Layout computation}
\begin{overprint}
\onslide<1>
\begin{center}
\includegraphics[width=\linewidth, trim=0 0 0 -4cm]{../assets/screenshots/garage_status_0.9_prod_zonehl.png}
\end{center}
\onslide<2>
\begin{center}
\includegraphics[width=.7\linewidth]{../assets/map.png}
\end{center}
\end{overprint}
\vspace{1em}
Garage stores replicas on different zones when possible
\end{frame}
\begin{frame}
\frametitle{What a "layout" is}
\textbf{A layout is a precomputed index table:}
\vspace{1em}
{\footnotesize
\begin{center}
\begin{tabular}{|l|l|l|l|}
\hline
\textbf{Partition} & \textbf{Node 1} & \textbf{Node 2} & \textbf{Node 3} \\
\hline
\hline
Partition 0 & df-ymk (bespin) & Abricot (scorpio) & Courgette (neptune) \\
\hline
Partition 1 & Ananas (scorpio) & Courgette (neptune) & df-ykl (bespin) \\
\hline
Partition 2 & df-ymf (bespin) & Celeri (neptune) & Abricot (scorpio) \\
\hline
\hspace{1em}$\vdots$ & \hspace{1em}$\vdots$ & \hspace{1em}$\vdots$ & \hspace{1em}$\vdots$ \\
\hline
Partition 255 & Concombre (neptune) & df-ykl (bespin) & Abricot (scorpio) \\
\hline
\end{tabular}
\end{center}
}
\vspace{2em}
\visible<2->{
The index table is built centrally using an optimal algorithm,\\
then propagated to all nodes
}
\vspace{1em}
\visible<3->{
\footnotesize
Oulamara, M., \& Auvolat, A. (2023). \emph{An algorithm for geo-distributed and redundant storage in Garage}.\\ arXiv preprint arXiv:2302.13798.
}
\end{frame}
\begin{frame}
\frametitle{The relationship between \emph{partition} and \emph{partition key}}
\begin{center}
\begin{tabular}{|l|l|l|l|}
\hline
\textbf{Partition key} & \textbf{Partition} & \textbf{Sort key} & \textbf{Value} \\
\hline
\hline
\texttt{website} & Partition 12 & \texttt{index.html} & (file data) \\
\hline
\texttt{website} & Partition 12 & \texttt{img/logo.svg} & (file data) \\
\hline
\texttt{website} & Partition 12 &\texttt{download/index.html} & (file data) \\
\hline
\hline
\texttt{backup} & Partition 42 & \texttt{borg/index.2822} & (file data) \\
\hline
\texttt{backup} & Partition 42 & \texttt{borg/data/2/2329} & (file data) \\
\hline
\texttt{backup} & Partition 42 & \texttt{borg/data/2/2680} & (file data) \\
\hline
\hline
\texttt{private} & Partition 42 & \texttt{qq3a2nbe1qjq0ebbvo6ocsp6co} & (file data) \\
\hline
\end{tabular}
\end{center}
\vspace{1em}
\textbf{To read or write an item:} hash partition key
\\ \hspace{5cm} $\to$ determine partition number (first 8 bits)
\\ \hspace{5cm} $\to$ find associated nodes
\end{frame}
\begin{frame}
\frametitle{Garage's internal data structures}
\centering
\includegraphics[width=.75\columnwidth]{../assets/garage_tables.pdf}
\end{frame}
% ---------- OPERATING GARAGE ---------
\section{Operating Garage clusters}
\begin{frame}
\frametitle{Operating Garage}
\begin{center}
\only<1-2>{
\includegraphics[width=.9\linewidth]{../assets/screenshots/garage_status_0.10.png}
\\\vspace{1em}
\visible<2>{\includegraphics[width=.9\linewidth]{../assets/screenshots/garage_status_unhealthy_0.10.png}}
}
\end{center}
\end{frame}
\begin{frame}
\frametitle{Background synchronization}
\begin{center}
\includegraphics[width=.6\linewidth]{../assets/garage_sync.drawio.pdf}
\end{center}
\end{frame}
\begin{frame}
\frametitle{Digging deeper}
\begin{center}
\only<1>{\includegraphics[width=.9\linewidth]{../assets/screenshots/garage_stats_0.10.png}}
\only<2>{\includegraphics[width=.5\linewidth]{../assets/screenshots/garage_worker_list_0.10.png}}
\only<3>{\includegraphics[width=.6\linewidth]{../assets/screenshots/garage_worker_param_0.10.png}}
\end{center}
\end{frame}
\begin{frame}
\frametitle{Monitoring with Prometheus + Grafana}
\begin{center}
\includegraphics[width=.9\linewidth]{../assets/screenshots/grafana_dashboard.png}
\end{center}
\end{frame}
\begin{frame}
\frametitle{Debugging with traces}
\begin{center}
\includegraphics[width=.8\linewidth]{../assets/screenshots/jaeger_listobjects.png}
\end{center}
\end{frame}
% ---------- SCALING GARAGE ---------
\section{Scaling Garage clusters}
\begin{frame}
\frametitle{Potential limitations and bottlenecks}
\begin{itemize}
\item Global:
\begin{itemize}
\item Max. $\sim$100 nodes per cluster (excluding gateways)
\end{itemize}
\vspace{1em}
\item Metadata:
\begin{itemize}
\item One big bucket = bottleneck, object list on 3 nodes only
\end{itemize}
\vspace{1em}
\item Block manager:
\begin{itemize}
\item Lots of small files on disk
\item Processing the resync queue can be slow
\end{itemize}
\end{itemize}
\end{frame}
\begin{frame}
\frametitle{Deployment advice for very large clusters}
\begin{itemize}
\item Metadata storage:
\begin{itemize}
\item ZFS mirror (x2) on fast NVMe
\item Use LMDB storage engine
\end{itemize}
\vspace{.5em}
\item Data block storage:
\begin{itemize}
\item Use Garage's native multi-HDD support
\item XFS on individual drives
\item Increase block size (1MB $\to$ 10MB, requires more RAM and good networking)
\item Tune \texttt{resync-tranquility} and \texttt{resync-worker-count} dynamically
\end{itemize}
\vspace{.5em}
\item Other :
\begin{itemize}
\item Split data over several buckets
\item Use less than 100 storage nodes
\item Use gateway nodes
\end{itemize}
\vspace{.5em}
\end{itemize}
Our deployments: $< 10$ TB. Some people have done more!
\end{frame}
% ======================================== END
% ======================================== END
% ======================================== END
\begin{frame}
\frametitle{Where to find us}
\begin{center}
\includegraphics[width=.25\linewidth]{../../logo/garage_hires.png}\\
\vspace{-1em}
\url{https://garagehq.deuxfleurs.fr/}\\
\url{mailto:garagehq@deuxfleurs.fr}\\
\texttt{\#garage:deuxfleurs.fr} on Matrix
\vspace{1.5em}
\includegraphics[width=.06\linewidth]{../assets/logos/rust_logo.png}
\includegraphics[width=.13\linewidth]{../assets/logos/AGPLv3_Logo.png}
\end{center}
\end{frame}
\end{document}
%% vim: set ts=4 sw=4 tw=0 noet spelllang=en :

View file

@ -1,2 +1,8 @@
# Files that are auto-generated when building pdfs # Files that are auto-generated when building pdfs
deuxfleurs.pdf deuxfleurs.pdf
timeline-22-24.pdf
lattice*.pdf_tex
lattice*.pdf
# tmp files generated by krita
*~

Binary file not shown.

Binary file not shown.

After

Width:  |  Height:  |  Size: 13 KiB

Binary file not shown.

Binary file not shown.

Binary file not shown.

Binary file not shown.

After

Width:  |  Height:  |  Size: 30 KiB

Binary file not shown.

Binary file not shown.

After

Width:  |  Height:  |  Size: 295 KiB

Binary file not shown.

After

Width:  |  Height:  |  Size: 87 KiB

Binary file not shown.

After

Width:  |  Height:  |  Size: 81 KiB

Binary file not shown.

After

Width:  |  Height:  |  Size: 124 KiB

Binary file not shown.

After

Width:  |  Height:  |  Size: 84 KiB

Binary file not shown.

After

Width:  |  Height:  |  Size: 81 KiB

Binary file not shown.

After

Width:  |  Height:  |  Size: 81 KiB

File diff suppressed because it is too large Load diff

After

Width:  |  Height:  |  Size: 315 KiB

File diff suppressed because one or more lines are too long

After

Width:  |  Height:  |  Size: 286 KiB

Binary file not shown.

After

Width:  |  Height:  |  Size: 346 KiB

Binary file not shown.

After

Width:  |  Height:  |  Size: 350 KiB

View file

@ -0,0 +1,433 @@
<?xml version="1.0" encoding="UTF-8" standalone="no"?>
<!-- Created with Inkscape (http://www.inkscape.org/) -->
<svg
width="1000"
height="400"
viewBox="0 0 264.58333 105.83333"
version="1.1"
id="svg5"
inkscape:version="1.2.2 (b0a8486541, 2022-12-01)"
sodipodi:docname="lattice1.svg"
xmlns:inkscape="http://www.inkscape.org/namespaces/inkscape"
xmlns:sodipodi="http://sodipodi.sourceforge.net/DTD/sodipodi-0.dtd"
xmlns="http://www.w3.org/2000/svg"
xmlns:svg="http://www.w3.org/2000/svg">
<sodipodi:namedview
id="namedview7"
pagecolor="#ffffff"
bordercolor="#666666"
borderopacity="1.0"
inkscape:showpageshadow="2"
inkscape:pageopacity="0.0"
inkscape:pagecheckerboard="0"
inkscape:deskcolor="#d1d1d1"
inkscape:document-units="mm"
showgrid="false"
inkscape:zoom="1.0419012"
inkscape:cx="445.81962"
inkscape:cy="222.66987"
inkscape:window-width="1920"
inkscape:window-height="999"
inkscape:window-x="0"
inkscape:window-y="0"
inkscape:window-maximized="1"
inkscape:current-layer="layer2" />
<defs
id="defs2">
<marker
style="overflow:visible"
id="Arrow2"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-9"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-1" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-9-7"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-1-0" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-93"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-6" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-9-7-2"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-1-0-6" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-93-1"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-6-8" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-9-75"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-1-9" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-9-75-2"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-1-9-8" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-9-75-7"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-1-9-3" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-9-75-7-1"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-1-9-3-2" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-93-1-4"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-6-8-7" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-9-7-2-8"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-1-0-6-4" />
</marker>
</defs>
<g
inkscape:label="Layer 1"
inkscape:groupmode="layer"
id="layer1"
sodipodi:insensitive="true">
<rect
style="fill:#ffffff;stroke:none;stroke-width:1;stop-color:#000000"
id="rect288"
width="209.84705"
height="104.42732"
x="0.77790999"
y="0.93738818" />
</g>
<g
inkscape:groupmode="layer"
id="layer2"
inkscape:label="Layer 2">
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
x="164.56372"
y="99.307442"
id="text951"><tspan
sodipodi:role="line"
id="tspan949"
style="stroke-width:0.264583;fill:#000000"
x="164.56372"
y="99.307442">$\{\}$</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
x="164.56372"
y="13.151893"
id="text1005"><tspan
sodipodi:role="line"
id="tspan1003"
style="stroke-width:0.264583;fill:#000000"
x="164.56372"
y="13.151893">$\{a,b,c\}$</tspan></text>
<g
id="g1175"
transform="translate(51.996784,3.5774043)">
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
x="49.27084"
y="67.008698"
id="text1009"><tspan
sodipodi:role="line"
id="tspan1007"
style="stroke-width:0.264583;fill:#000000"
x="49.27084"
y="67.008698">$\{a\}$</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
x="112.90984"
y="67.017166"
id="text1009-3"><tspan
sodipodi:role="line"
id="tspan1007-6"
style="stroke-width:0.264583;fill:#000000"
x="112.90984"
y="67.017166">$\{b\}$</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
x="176.20593"
y="67.008698"
id="text1009-7"><tspan
sodipodi:role="line"
id="tspan1007-5"
style="stroke-width:0.264583;fill:#000000"
x="176.20593"
y="67.008698">$\{c\}$</tspan></text>
</g>
<g
id="g1183"
transform="translate(51.996784,1.0317046)">
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
x="112.90984"
y="40.841526"
id="text1117"><tspan
sodipodi:role="line"
id="tspan1115"
style="stroke-width:0.264583;fill:#000000"
x="112.90984"
y="40.841526">$\{a,c\}$</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
x="49.27084"
y="40.841526"
id="text1117-3"><tspan
sodipodi:role="line"
id="tspan1115-5"
style="stroke-width:0.264583;fill:#000000"
x="49.27084"
y="40.841526">$\{a,b\}$</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
x="176.20593"
y="40.841526"
id="text1117-6"><tspan
sodipodi:role="line"
id="tspan1115-2"
style="stroke-width:0.264583;fill:#000000"
x="176.20593"
y="40.841526">$\{b,c\}$</tspan></text>
</g>
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2)"
d="M 153.33622,90.367682 118.34198,73.428915"
id="path1300" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9)"
d="M 177.46016,90.367682 212.4544,73.428915"
id="path1300-2" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-93)"
d="M 153.33622,61.655656 118.34198,44.716889"
id="path1300-0" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-7)"
d="M 177.46016,61.655656 212.4544,44.716889"
id="path1300-2-6" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-93-1)"
d="M 118.34198,61.655656 153.33622,44.716889"
id="path1300-0-7" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-7-2)"
d="M 212.4544,61.655656 177.46016,44.716889"
id="path1300-2-6-9" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-93-1-4)"
d="M 118.34198,34.227412 153.33622,17.288645"
id="path1300-0-7-5" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-7-2-8)"
d="M 212.4544,34.227412 177.46016,17.288645"
id="path1300-2-6-9-0" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-75)"
d="m 228.52843,61.091809 0.33313,-12.554874 m -0.33313,12.554874 0.33313,-12.554874"
id="path1300-2-2"
sodipodi:nodetypes="cc" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-75-2)"
d="m 101.90418,61.091809 0.33313,-12.554874 m -0.33313,12.554874 0.33313,-12.554874"
id="path1300-2-2-9"
sodipodi:nodetypes="cc" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-75-7)"
d="m 165.29305,89.571762 0.33313,-12.554874 m -0.33313,12.554874 0.33313,-12.554874"
id="path1300-2-2-6"
sodipodi:nodetypes="cc" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-75-7-1)"
d="m 165.29305,32.445235 0.33313,-12.554874 m -0.33313,12.554874 0.33313,-12.554874"
id="path1300-2-2-6-9"
sodipodi:nodetypes="cc" />
</g>
</svg>

After

Width:  |  Height:  |  Size: 15 KiB

View file

@ -0,0 +1,514 @@
<?xml version="1.0" encoding="UTF-8" standalone="no"?>
<!-- Created with Inkscape (http://www.inkscape.org/) -->
<svg
width="1000"
height="400"
viewBox="0 0 264.58333 105.83333"
version="1.1"
id="svg5"
inkscape:version="1.2.2 (b0a8486541, 2022-12-01)"
sodipodi:docname="lattice2.svg"
xmlns:inkscape="http://www.inkscape.org/namespaces/inkscape"
xmlns:sodipodi="http://sodipodi.sourceforge.net/DTD/sodipodi-0.dtd"
xmlns="http://www.w3.org/2000/svg"
xmlns:svg="http://www.w3.org/2000/svg">
<sodipodi:namedview
id="namedview7"
pagecolor="#ffffff"
bordercolor="#666666"
borderopacity="1.0"
inkscape:showpageshadow="2"
inkscape:pageopacity="0.0"
inkscape:pagecheckerboard="0"
inkscape:deskcolor="#d1d1d1"
inkscape:document-units="mm"
showgrid="false"
inkscape:zoom="1.0419012"
inkscape:cx="384.39345"
inkscape:cy="227.46879"
inkscape:window-width="1920"
inkscape:window-height="999"
inkscape:window-x="0"
inkscape:window-y="0"
inkscape:window-maximized="1"
inkscape:current-layer="layer2" />
<defs
id="defs2">
<marker
style="overflow:visible"
id="Arrow2"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-9"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-1" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-9-7"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-1-0" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-93"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-6" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-9-7-2"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-1-0-6" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-93-1"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-6-8" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-9-75"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-1-9" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-9-75-2"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-1-9-8" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-9-75-7"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-1-9-3" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-9-75-7-1"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-1-9-3-2" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-93-1-4"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-6-8-7" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-9-7-2-8"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-1-0-6-4" />
</marker>
</defs>
<g
inkscape:label="Layer 1"
inkscape:groupmode="layer"
id="layer1"
sodipodi:insensitive="true">
<rect
style="fill:#ffffff;stroke:none;stroke-width:1;stop-color:#000000"
id="rect288"
width="209.84705"
height="104.42732"
x="0.77790999"
y="0.93738818" />
</g>
<g
inkscape:groupmode="layer"
id="layer2"
inkscape:label="Layer 2">
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
x="164.56372"
y="99.307442"
id="text951"><tspan
sodipodi:role="line"
id="tspan949"
style="stroke-width:0.264583;fill:#000000"
x="164.56372"
y="99.307442">$\{\}$</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
x="164.56372"
y="13.151893"
id="text1005"><tspan
sodipodi:role="line"
id="tspan1003"
style="stroke-width:0.264583;fill:#000000"
x="164.56372"
y="13.151893">$\{a,b,c\}$</tspan></text>
<g
id="g1175"
transform="translate(51.996784,3.5774043)">
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
x="49.27084"
y="67.008698"
id="text1009"><tspan
sodipodi:role="line"
id="tspan1007"
style="stroke-width:0.264583;fill:#000000"
x="49.27084"
y="67.008698">$\{a\}$</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
x="112.90984"
y="67.017166"
id="text1009-3"><tspan
sodipodi:role="line"
id="tspan1007-6"
style="stroke-width:0.264583;fill:#000000"
x="112.90984"
y="67.017166">$\{b\}$</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
x="176.20593"
y="67.008698"
id="text1009-7"><tspan
sodipodi:role="line"
id="tspan1007-5"
style="stroke-width:0.264583;fill:#000000"
x="176.20593"
y="67.008698">$\{c\}$</tspan></text>
</g>
<g
id="g1183"
transform="translate(51.996784,1.0317046)"
style="fill:#000000">
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
x="112.90984"
y="40.841526"
id="text1117"><tspan
sodipodi:role="line"
id="tspan1115"
style="stroke-width:0.264583;fill:#000000"
x="112.90984"
y="40.841526">$\{a,c\}$</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
x="49.27084"
y="40.841526"
id="text1117-3"><tspan
sodipodi:role="line"
id="tspan1115-5"
style="stroke-width:0.264583;fill:#000000"
x="49.27084"
y="40.841526">$\{a,b\}$</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
x="176.20593"
y="40.841526"
id="text1117-6"><tspan
sodipodi:role="line"
id="tspan1115-2"
style="stroke-width:0.264583;fill:#000000"
x="176.20593"
y="40.841526">$\{b,c\}$</tspan></text>
</g>
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2)"
d="M 153.33622,90.367682 118.34198,73.428915"
id="path1300" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9)"
d="M 177.46016,90.367682 212.4544,73.428915"
id="path1300-2" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-93)"
d="M 153.33622,61.655656 118.34198,44.716889"
id="path1300-0" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-7)"
d="M 177.46016,61.655656 212.4544,44.716889"
id="path1300-2-6" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-93-1)"
d="M 118.34198,61.655656 153.33622,44.716889"
id="path1300-0-7" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-7-2)"
d="M 212.4544,61.655656 177.46016,44.716889"
id="path1300-2-6-9" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-93-1-4)"
d="M 118.34198,34.227412 153.33622,17.288645"
id="path1300-0-7-5" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-7-2-8)"
d="M 212.4544,34.227412 177.46016,17.288645"
id="path1300-2-6-9-0" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-75)"
d="m 228.52843,61.091809 0.33313,-12.554874 m -0.33313,12.554874 0.33313,-12.554874"
id="path1300-2-2"
sodipodi:nodetypes="cc" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-75-2)"
d="m 101.90418,61.091809 0.33313,-12.554874 m -0.33313,12.554874 0.33313,-12.554874"
id="path1300-2-2-9"
sodipodi:nodetypes="cc" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-75-7)"
d="m 165.29305,89.571762 0.33313,-12.554874 m -0.33313,12.554874 0.33313,-12.554874"
id="path1300-2-2-6"
sodipodi:nodetypes="cc" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-75-7-1)"
d="m 165.29305,32.445235 0.33313,-12.554874 m -0.33313,12.554874 0.33313,-12.554874"
id="path1300-2-2-6-9"
sodipodi:nodetypes="cc" />
<circle
style="fill:#ff0000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
id="path3663"
cx="147.35568"
cy="95.24971"
r="2.7302806" />
<circle
style="fill:#008000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
id="path3663-3"
cx="139.48744"
cy="95.24971"
r="2.7302806" />
<circle
style="fill:#800080;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
id="path3663-6"
cx="131.61919"
cy="95.24971"
r="2.7302806" />
<circle
style="fill:#ff0000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
id="path3663-1"
cx="18.004833"
cy="39.402473"
r="2.7302806" />
<circle
style="fill:#008000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
id="path3663-3-0"
cx="18.004833"
cy="30.371933"
r="2.7302806" />
<circle
style="fill:#800080;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
id="path3663-6-6"
cx="18.004833"
cy="21.341394"
r="2.7302806" />
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;stroke-width:0.264583;fill:#000000"
x="6.9525447"
y="13.702217"
id="text3707"><tspan
sodipodi:role="line"
id="tspan3705"
style="stroke-width:0.264583;fill:#000000"
x="6.9525447"
y="13.702217">$write(\{a\})$:</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#999999;stroke-width:0.264583"
x="23.457415"
y="24.042637"
id="text3750"><tspan
sodipodi:role="line"
id="tspan3748"
style="fill:#999999;stroke-width:0.264583"
x="23.457415"
y="24.042637">$\not\sqsupseteq \{a\}$</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#999999;stroke-width:0.264583"
x="23.457415"
y="33.02087"
id="text3750-3"><tspan
sodipodi:role="line"
id="tspan3748-2"
style="fill:#999999;stroke-width:0.264583"
x="23.457415"
y="33.02087">$\not\sqsupseteq \{a\}$</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#999999;stroke-width:0.264583"
x="23.457415"
y="41.972523"
id="text3750-0"><tspan
sodipodi:role="line"
id="tspan3748-6"
style="fill:#999999;stroke-width:0.264583"
x="23.457415"
y="41.972523">$\not\sqsupseteq \{a\}$</tspan></text>
</g>
</svg>

After

Width:  |  Height:  |  Size: 18 KiB

View file

@ -0,0 +1,515 @@
<?xml version="1.0" encoding="UTF-8" standalone="no"?>
<!-- Created with Inkscape (http://www.inkscape.org/) -->
<svg
width="1000"
height="400"
viewBox="0 0 264.58333 105.83333"
version="1.1"
id="svg5"
inkscape:version="1.2.2 (b0a8486541, 2022-12-01)"
sodipodi:docname="lattice3.svg"
xmlns:inkscape="http://www.inkscape.org/namespaces/inkscape"
xmlns:sodipodi="http://sodipodi.sourceforge.net/DTD/sodipodi-0.dtd"
xmlns="http://www.w3.org/2000/svg"
xmlns:svg="http://www.w3.org/2000/svg">
<sodipodi:namedview
id="namedview7"
pagecolor="#ffffff"
bordercolor="#666666"
borderopacity="1.0"
inkscape:showpageshadow="2"
inkscape:pageopacity="0.0"
inkscape:pagecheckerboard="0"
inkscape:deskcolor="#d1d1d1"
inkscape:document-units="mm"
showgrid="false"
inkscape:zoom="1.4734708"
inkscape:cx="324.06479"
inkscape:cy="168.98876"
inkscape:window-width="1920"
inkscape:window-height="999"
inkscape:window-x="0"
inkscape:window-y="0"
inkscape:window-maximized="1"
inkscape:current-layer="layer2" />
<defs
id="defs2">
<marker
style="overflow:visible"
id="Arrow2"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-9"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-1" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-9-7"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-1-0" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-93"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-6" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-9-7-2"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-1-0-6" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-93-1"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-6-8" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-9-75"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-1-9" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-9-75-2"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-1-9-8" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-9-75-7"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-1-9-3" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-9-75-7-1"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-1-9-3-2" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-93-1-4"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-6-8-7" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-9-7-2-8"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-1-0-6-4" />
</marker>
</defs>
<g
inkscape:label="Layer 1"
inkscape:groupmode="layer"
id="layer1"
sodipodi:insensitive="true">
<rect
style="fill:#ffffff;stroke:none;stroke-width:1;stop-color:#000000"
id="rect288"
width="209.84705"
height="104.42732"
x="0.77790999"
y="0.93738818" />
</g>
<g
inkscape:groupmode="layer"
id="layer2"
inkscape:label="Layer 2">
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
x="164.56372"
y="99.307442"
id="text951"><tspan
sodipodi:role="line"
id="tspan949"
style="stroke-width:0.264583;fill:#000000"
x="164.56372"
y="99.307442">$\{\}$</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
x="164.56372"
y="13.151893"
id="text1005"><tspan
sodipodi:role="line"
id="tspan1003"
style="stroke-width:0.264583;fill:#000000"
x="164.56372"
y="13.151893">$\{a,b,c\}$</tspan></text>
<g
id="g1175"
transform="translate(51.996784,3.5774043)"
style="fill:#000000">
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
x="49.27084"
y="67.008698"
id="text1009"><tspan
sodipodi:role="line"
id="tspan1007"
style="stroke-width:0.264583;fill:#000000"
x="49.27084"
y="67.008698">$\{a\}$</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
x="112.90984"
y="67.017166"
id="text1009-3"><tspan
sodipodi:role="line"
id="tspan1007-6"
style="stroke-width:0.264583;fill:#000000"
x="112.90984"
y="67.017166">$\{b\}$</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
x="176.20593"
y="67.008698"
id="text1009-7"><tspan
sodipodi:role="line"
id="tspan1007-5"
style="stroke-width:0.264583;fill:#000000"
x="176.20593"
y="67.008698">$\{c\}$</tspan></text>
</g>
<g
id="g1183"
transform="translate(51.996784,1.0317046)"
style="fill:#000000">
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
x="112.90984"
y="40.841526"
id="text1117"><tspan
sodipodi:role="line"
id="tspan1115"
style="stroke-width:0.264583;fill:#000000"
x="112.90984"
y="40.841526">$\{a,c\}$</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
x="49.27084"
y="40.841526"
id="text1117-3"><tspan
sodipodi:role="line"
id="tspan1115-5"
style="stroke-width:0.264583;fill:#000000"
x="49.27084"
y="40.841526">$\{a,b\}$</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
x="176.20593"
y="40.841526"
id="text1117-6"><tspan
sodipodi:role="line"
id="tspan1115-2"
style="stroke-width:0.264583;fill:#000000"
x="176.20593"
y="40.841526">$\{b,c\}$</tspan></text>
</g>
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2)"
d="M 153.33622,90.367682 118.34198,73.428915"
id="path1300" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9)"
d="M 177.46016,90.367682 212.4544,73.428915"
id="path1300-2" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-93)"
d="M 153.33622,61.655656 118.34198,44.716889"
id="path1300-0" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-7)"
d="M 177.46016,61.655656 212.4544,44.716889"
id="path1300-2-6" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-93-1)"
d="M 118.34198,61.655656 153.33622,44.716889"
id="path1300-0-7" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-7-2)"
d="M 212.4544,61.655656 177.46016,44.716889"
id="path1300-2-6-9" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-93-1-4)"
d="M 118.34198,34.227412 153.33622,17.288645"
id="path1300-0-7-5" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-7-2-8)"
d="M 212.4544,34.227412 177.46016,17.288645"
id="path1300-2-6-9-0" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-75)"
d="m 228.52843,61.091809 0.33313,-12.554874 m -0.33313,12.554874 0.33313,-12.554874"
id="path1300-2-2"
sodipodi:nodetypes="cc" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-75-2)"
d="m 101.90418,61.091809 0.33313,-12.554874 m -0.33313,12.554874 0.33313,-12.554874"
id="path1300-2-2-9"
sodipodi:nodetypes="cc" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-75-7)"
d="m 165.29305,89.571762 0.33313,-12.554874 m -0.33313,12.554874 0.33313,-12.554874"
id="path1300-2-2-6"
sodipodi:nodetypes="cc" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-75-7-1)"
d="m 165.29305,32.445235 0.33313,-12.554874 m -0.33313,12.554874 0.33313,-12.554874"
id="path1300-2-2-6-9"
sodipodi:nodetypes="cc" />
<circle
style="fill:#ff0000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
id="path3663"
cx="147.35568"
cy="95.24971"
r="2.7302806" />
<circle
style="fill:#008000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
id="path3663-3"
cx="139.48744"
cy="95.24971"
r="2.7302806" />
<circle
style="fill:#800080;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
id="path3663-6"
cx="119.58919"
cy="67.645035"
r="2.7302806" />
<circle
style="fill:#ff0000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
id="path3663-1"
cx="18.004833"
cy="39.402473"
r="2.7302806" />
<circle
style="fill:#008000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
id="path3663-3-0"
cx="18.004833"
cy="30.371933"
r="2.7302806" />
<circle
style="fill:#800080;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
id="path3663-6-6"
cx="18.004833"
cy="21.341394"
r="2.7302806" />
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;stroke-width:0.264583;fill:#000000"
x="6.9525447"
y="13.702217"
id="text3707"><tspan
sodipodi:role="line"
id="tspan3705"
style="stroke-width:0.264583;fill:#000000"
x="6.9525447"
y="13.702217">$write(\{a\})$:</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
x="23.457415"
y="24.042637"
id="text3750"><tspan
sodipodi:role="line"
id="tspan3748"
style="fill:#000000;stroke-width:0.264583"
x="23.457415"
y="24.042637">$\sqsupseteq \{a\} \to$ OK</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#999999;stroke-width:0.264583"
x="23.457415"
y="33.02087"
id="text3750-3"><tspan
sodipodi:role="line"
id="tspan3748-2"
style="fill:#999999;stroke-width:0.264583"
x="23.457415"
y="33.02087">$\not\sqsupseteq \{a\}$</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#999999;stroke-width:0.264583"
x="23.457415"
y="41.972523"
id="text3750-0"><tspan
sodipodi:role="line"
id="tspan3748-6"
style="fill:#999999;stroke-width:0.264583"
x="23.457415"
y="41.972523">$\not\sqsupseteq \{a\}$</tspan></text>
</g>
</svg>

After

Width:  |  Height:  |  Size: 18 KiB

View file

@ -0,0 +1,525 @@
<?xml version="1.0" encoding="UTF-8" standalone="no"?>
<!-- Created with Inkscape (http://www.inkscape.org/) -->
<svg
width="1000"
height="400"
viewBox="0 0 264.58333 105.83333"
version="1.1"
id="svg5"
inkscape:version="1.2.2 (b0a8486541, 2022-12-01)"
sodipodi:docname="lattice4.svg"
xmlns:inkscape="http://www.inkscape.org/namespaces/inkscape"
xmlns:sodipodi="http://sodipodi.sourceforge.net/DTD/sodipodi-0.dtd"
xmlns="http://www.w3.org/2000/svg"
xmlns:svg="http://www.w3.org/2000/svg">
<sodipodi:namedview
id="namedview7"
pagecolor="#ffffff"
bordercolor="#666666"
borderopacity="1.0"
inkscape:showpageshadow="2"
inkscape:pageopacity="0.0"
inkscape:pagecheckerboard="0"
inkscape:deskcolor="#d1d1d1"
inkscape:document-units="mm"
showgrid="false"
inkscape:zoom="0.73673541"
inkscape:cx="287.07728"
inkscape:cy="294.54265"
inkscape:window-width="1920"
inkscape:window-height="999"
inkscape:window-x="0"
inkscape:window-y="0"
inkscape:window-maximized="1"
inkscape:current-layer="layer2" />
<defs
id="defs2">
<marker
style="overflow:visible"
id="Arrow2"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-9"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-1" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-9-7"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-1-0" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-93"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-6" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-9-7-2"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-1-0-6" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-93-1"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-6-8" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-9-75"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-1-9" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-9-75-2"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-1-9-8" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-9-75-7"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-1-9-3" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-9-75-7-1"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-1-9-3-2" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-93-1-4"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-6-8-7" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-9-7-2-8"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-1-0-6-4" />
</marker>
</defs>
<g
inkscape:label="Layer 1"
inkscape:groupmode="layer"
id="layer1"
sodipodi:insensitive="true">
<rect
style="fill:#ffffff;stroke:none;stroke-width:1;stop-color:#000000"
id="rect288"
width="209.84705"
height="104.42732"
x="0.77790999"
y="0.93738818" />
</g>
<g
inkscape:groupmode="layer"
id="layer2"
inkscape:label="Layer 2">
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
x="164.56372"
y="99.307442"
id="text951"><tspan
sodipodi:role="line"
id="tspan949"
style="stroke-width:0.264583;fill:#000000"
x="164.56372"
y="99.307442">$\{\}$</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
x="164.56372"
y="13.151893"
id="text1005"><tspan
sodipodi:role="line"
id="tspan1003"
style="stroke-width:0.264583;fill:#000000"
x="164.56372"
y="13.151893">$\{a,b,c\}$</tspan></text>
<g
id="g1175"
transform="translate(51.996784,3.5774043)">
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
x="49.27084"
y="67.008698"
id="text1009"><tspan
sodipodi:role="line"
id="tspan1007"
style="stroke-width:0.264583;fill:#000000"
x="49.27084"
y="67.008698">$\{a\}$</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
x="112.90984"
y="67.017166"
id="text1009-3"><tspan
sodipodi:role="line"
id="tspan1007-6"
style="stroke-width:0.264583;fill:#000000"
x="112.90984"
y="67.017166">$\{b\}$</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
x="176.20593"
y="67.008698"
id="text1009-7"><tspan
sodipodi:role="line"
id="tspan1007-5"
style="stroke-width:0.264583;fill:#000000"
x="176.20593"
y="67.008698">$\{c\}$</tspan></text>
</g>
<g
id="g1183"
transform="translate(51.996784,1.0317046)"
style="fill:#000000">
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
x="112.90984"
y="40.841526"
id="text1117"><tspan
sodipodi:role="line"
id="tspan1115"
style="stroke-width:0.264583;fill:#000000"
x="112.90984"
y="40.841526">$\{a,c\}$</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
x="49.27084"
y="40.841526"
id="text1117-3"><tspan
sodipodi:role="line"
id="tspan1115-5"
style="stroke-width:0.264583;fill:#000000"
x="49.27084"
y="40.841526">$\{a,b\}$</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
x="176.20593"
y="40.841526"
id="text1117-6"><tspan
sodipodi:role="line"
id="tspan1115-2"
style="stroke-width:0.264583;fill:#000000"
x="176.20593"
y="40.841526">$\{b,c\}$</tspan></text>
</g>
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2)"
d="M 153.33622,90.367682 118.34198,73.428915"
id="path1300" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9)"
d="M 177.46016,90.367682 212.4544,73.428915"
id="path1300-2" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-93)"
d="M 153.33622,61.655656 118.34198,44.716889"
id="path1300-0" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-7)"
d="M 177.46016,61.655656 212.4544,44.716889"
id="path1300-2-6" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-93-1)"
d="M 118.34198,61.655656 153.33622,44.716889"
id="path1300-0-7" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-7-2)"
d="M 212.4544,61.655656 177.46016,44.716889"
id="path1300-2-6-9" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-93-1-4)"
d="M 118.34198,34.227412 153.33622,17.288645"
id="path1300-0-7-5" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-7-2-8)"
d="M 212.4544,34.227412 177.46016,17.288645"
id="path1300-2-6-9-0" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-75)"
d="m 228.52843,61.091809 0.33313,-12.554874 m -0.33313,12.554874 0.33313,-12.554874"
id="path1300-2-2"
sodipodi:nodetypes="cc" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-75-2)"
d="m 101.90418,61.091809 0.33313,-12.554874 m -0.33313,12.554874 0.33313,-12.554874"
id="path1300-2-2-9"
sodipodi:nodetypes="cc" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-75-7)"
d="m 165.29305,89.571762 0.33313,-12.554874 m -0.33313,12.554874 0.33313,-12.554874"
id="path1300-2-2-6"
sodipodi:nodetypes="cc" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-75-7-1)"
d="m 165.29305,32.445235 0.33313,-12.554874 m -0.33313,12.554874 0.33313,-12.554874"
id="path1300-2-2-6-9"
sodipodi:nodetypes="cc" />
<circle
style="fill:#ff0000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
id="path3663"
cx="147.35568"
cy="95.24971"
r="2.7302806" />
<circle
style="fill:#008000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
id="path3663-3"
cx="126.08154"
cy="67.968384"
r="2.7302806" />
<circle
style="fill:#800080;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
id="path3663-6"
cx="119.58919"
cy="67.645035"
r="2.7302806" />
<circle
style="fill:#ff0000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
id="path3663-1"
cx="18.004833"
cy="39.402473"
r="2.7302806" />
<circle
style="fill:#008000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
id="path3663-3-0"
cx="18.004833"
cy="30.371933"
r="2.7302806" />
<circle
style="fill:#800080;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
id="path3663-6-6"
cx="18.004833"
cy="21.341394"
r="2.7302806" />
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;stroke-width:0.264583;fill:#000000"
x="6.9525447"
y="13.702217"
id="text3707"><tspan
sodipodi:role="line"
id="tspan3705"
style="stroke-width:0.264583;fill:#000000"
x="6.9525447"
y="13.702217">$write(\{a\})$:</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
x="23.457415"
y="24.042637"
id="text3750"><tspan
sodipodi:role="line"
id="tspan3748"
style="fill:#000000;stroke-width:0.264583"
x="23.457415"
y="24.042637">$\sqsupseteq \{a\} \to$ OK</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
x="23.457415"
y="33.02087"
id="text3750-3"><tspan
sodipodi:role="line"
id="tspan3748-2"
style="fill:#000000;stroke-width:0.264583"
x="23.457415"
y="33.02087">$\sqsupseteq \{a\} \to$ OK</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#999999;stroke-width:0.264583"
x="23.457415"
y="41.972523"
id="text3750-0"><tspan
sodipodi:role="line"
id="tspan3748-6"
style="fill:#999999;stroke-width:0.264583"
x="23.457415"
y="41.972523">$\not\sqsupseteq \{a\}$</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
x="14.395845"
y="52.022549"
id="text4280"><tspan
sodipodi:role="line"
id="tspan4278"
style="fill:#000000;stroke-width:0.264583"
x="14.395845"
y="52.022549">return OK</tspan></text>
</g>
</svg>

After

Width:  |  Height:  |  Size: 18 KiB

View file

@ -0,0 +1,536 @@
<?xml version="1.0" encoding="UTF-8" standalone="no"?>
<!-- Created with Inkscape (http://www.inkscape.org/) -->
<svg
width="1000"
height="400"
viewBox="0 0 264.58333 105.83333"
version="1.1"
id="svg5"
inkscape:version="1.2.2 (b0a8486541, 2022-12-01)"
sodipodi:docname="lattice5.svg"
xmlns:inkscape="http://www.inkscape.org/namespaces/inkscape"
xmlns:sodipodi="http://sodipodi.sourceforge.net/DTD/sodipodi-0.dtd"
xmlns="http://www.w3.org/2000/svg"
xmlns:svg="http://www.w3.org/2000/svg">
<sodipodi:namedview
id="namedview7"
pagecolor="#ffffff"
bordercolor="#666666"
borderopacity="1.0"
inkscape:showpageshadow="2"
inkscape:pageopacity="0.0"
inkscape:pagecheckerboard="0"
inkscape:deskcolor="#d1d1d1"
inkscape:document-units="mm"
showgrid="false"
inkscape:zoom="1.0419012"
inkscape:cx="276.89766"
inkscape:cy="254.34273"
inkscape:window-width="1920"
inkscape:window-height="999"
inkscape:window-x="0"
inkscape:window-y="0"
inkscape:window-maximized="1"
inkscape:current-layer="layer2" />
<defs
id="defs2">
<marker
style="overflow:visible"
id="Arrow2"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-9"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-1" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-9-7"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-1-0" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-93"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-6" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-9-7-2"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-1-0-6" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-93-1"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-6-8" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-9-75"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-1-9" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-9-75-2"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-1-9-8" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-9-75-7"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-1-9-3" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-9-75-7-1"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-1-9-3-2" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-93-1-4"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-6-8-7" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-9-7-2-8"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-1-0-6-4" />
</marker>
</defs>
<g
inkscape:label="Layer 1"
inkscape:groupmode="layer"
id="layer1"
sodipodi:insensitive="true">
<rect
style="fill:#ffffff;stroke:none;stroke-width:1;stop-color:#000000"
id="rect288"
width="209.84705"
height="104.42732"
x="0.77790999"
y="0.93738818" />
</g>
<g
inkscape:groupmode="layer"
id="layer2"
inkscape:label="Layer 2">
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
x="164.56372"
y="99.307442"
id="text951"><tspan
sodipodi:role="line"
id="tspan949"
style="stroke-width:0.264583;fill:#000000"
x="164.56372"
y="99.307442">$\{\}$</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
x="164.56372"
y="13.151893"
id="text1005"><tspan
sodipodi:role="line"
id="tspan1003"
style="stroke-width:0.264583;fill:#000000"
x="164.56372"
y="13.151893">$\{a,b,c\}$</tspan></text>
<g
id="g1175"
transform="translate(51.996784,3.5774043)">
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
x="49.27084"
y="67.008698"
id="text1009"><tspan
sodipodi:role="line"
id="tspan1007"
style="stroke-width:0.264583;fill:#000000"
x="49.27084"
y="67.008698">$\{a\}$</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
x="112.90984"
y="67.017166"
id="text1009-3"><tspan
sodipodi:role="line"
id="tspan1007-6"
style="stroke-width:0.264583;fill:#000000"
x="112.90984"
y="67.017166">$\{b\}$</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
x="176.20593"
y="67.008698"
id="text1009-7"><tspan
sodipodi:role="line"
id="tspan1007-5"
style="stroke-width:0.264583;fill:#000000"
x="176.20593"
y="67.008698">$\{c\}$</tspan></text>
</g>
<g
id="g1183"
transform="translate(51.996784,1.0317046)"
style="fill:#000000">
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
x="112.90984"
y="40.841526"
id="text1117"><tspan
sodipodi:role="line"
id="tspan1115"
style="stroke-width:0.264583;fill:#000000"
x="112.90984"
y="40.841526">$\{a,c\}$</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
x="49.27084"
y="40.841526"
id="text1117-3"><tspan
sodipodi:role="line"
id="tspan1115-5"
style="stroke-width:0.264583;fill:#000000"
x="49.27084"
y="40.841526">$\{a,b\}$</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
x="176.20593"
y="40.841526"
id="text1117-6"><tspan
sodipodi:role="line"
id="tspan1115-2"
style="stroke-width:0.264583;fill:#000000"
x="176.20593"
y="40.841526">$\{b,c\}$</tspan></text>
</g>
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2)"
d="M 153.33622,90.367682 118.34198,73.428915"
id="path1300" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9)"
d="M 177.46016,90.367682 212.4544,73.428915"
id="path1300-2" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-93)"
d="M 153.33622,61.655656 118.34198,44.716889"
id="path1300-0" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-7)"
d="M 177.46016,61.655656 212.4544,44.716889"
id="path1300-2-6" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-93-1)"
d="M 118.34198,61.655656 153.33622,44.716889"
id="path1300-0-7" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-7-2)"
d="M 212.4544,61.655656 177.46016,44.716889"
id="path1300-2-6-9" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-93-1-4)"
d="M 118.34198,34.227412 153.33622,17.288645"
id="path1300-0-7-5" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-7-2-8)"
d="M 212.4544,34.227412 177.46016,17.288645"
id="path1300-2-6-9-0" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-75)"
d="m 228.52843,61.091809 0.33313,-12.554874 m -0.33313,12.554874 0.33313,-12.554874"
id="path1300-2-2"
sodipodi:nodetypes="cc" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-75-2)"
d="m 101.90418,61.091809 0.33313,-12.554874 m -0.33313,12.554874 0.33313,-12.554874"
id="path1300-2-2-9"
sodipodi:nodetypes="cc" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-75-7)"
d="m 165.29305,89.571762 0.33313,-12.554874 m -0.33313,12.554874 0.33313,-12.554874"
id="path1300-2-2-6"
sodipodi:nodetypes="cc" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-75-7-1)"
d="m 165.29305,32.445235 0.33313,-12.554874 m -0.33313,12.554874 0.33313,-12.554874"
id="path1300-2-2-6-9"
sodipodi:nodetypes="cc" />
<circle
style="fill:#ff0000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
id="path3663"
cx="147.35568"
cy="95.24971"
r="2.7302806" />
<circle
style="fill:#008000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
id="path3663-3"
cx="126.08154"
cy="67.968384"
r="2.7302806" />
<circle
style="fill:#800080;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
id="path3663-6"
cx="119.58919"
cy="67.645035"
r="2.7302806" />
<circle
style="fill:#ff0000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
id="path3663-1"
cx="18.004833"
cy="39.402473"
r="2.7302806" />
<circle
style="fill:#008000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
id="path3663-3-0"
cx="18.004833"
cy="30.371933"
r="2.7302806" />
<circle
style="fill:#800080;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
id="path3663-6-6"
cx="18.004833"
cy="21.341394"
r="2.7302806" />
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;stroke-width:0.264583;fill:#000000"
x="6.9525447"
y="13.702217"
id="text3707"><tspan
sodipodi:role="line"
id="tspan3705"
style="stroke-width:0.264583;fill:#000000"
x="6.9525447"
y="13.702217">$write(\{a\})$:</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
x="6.9525447"
y="65.261436"
id="text3707-1"><tspan
sodipodi:role="line"
id="tspan3705-5"
style="fill:#000000;stroke-width:0.264583"
x="6.9525447"
y="65.261436">$read()$:</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
x="23.457415"
y="24.042637"
id="text3750"><tspan
sodipodi:role="line"
id="tspan3748"
style="fill:#000000;stroke-width:0.264583"
x="23.457415"
y="24.042637">$\sqsupseteq \{a\} \to$ OK</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
x="23.457415"
y="33.02087"
id="text3750-3"><tspan
sodipodi:role="line"
id="tspan3748-2"
style="fill:#000000;stroke-width:0.264583"
x="23.457415"
y="33.02087">$\sqsupseteq \{a\} \to$ OK</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#999999;stroke-width:0.264583"
x="23.457415"
y="41.972523"
id="text3750-0"><tspan
sodipodi:role="line"
id="tspan3748-6"
style="fill:#999999;stroke-width:0.264583"
x="23.457415"
y="41.972523">$\not\sqsupseteq \{a\}$</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
x="14.395845"
y="52.022549"
id="text4280"><tspan
sodipodi:role="line"
id="tspan4278"
style="fill:#000000;stroke-width:0.264583"
x="14.395845"
y="52.022549">return OK</tspan></text>
</g>
</svg>

After

Width:  |  Height:  |  Size: 19 KiB

View file

@ -0,0 +1,553 @@
<?xml version="1.0" encoding="UTF-8" standalone="no"?>
<!-- Created with Inkscape (http://www.inkscape.org/) -->
<svg
width="1000"
height="400"
viewBox="0 0 264.58333 105.83333"
version="1.1"
id="svg5"
inkscape:version="1.2.2 (b0a8486541, 2022-12-01)"
sodipodi:docname="lattice6.svg"
xmlns:inkscape="http://www.inkscape.org/namespaces/inkscape"
xmlns:sodipodi="http://sodipodi.sourceforge.net/DTD/sodipodi-0.dtd"
xmlns="http://www.w3.org/2000/svg"
xmlns:svg="http://www.w3.org/2000/svg">
<sodipodi:namedview
id="namedview7"
pagecolor="#ffffff"
bordercolor="#666666"
borderopacity="1.0"
inkscape:showpageshadow="2"
inkscape:pageopacity="0.0"
inkscape:pagecheckerboard="0"
inkscape:deskcolor="#d1d1d1"
inkscape:document-units="mm"
showgrid="false"
inkscape:zoom="1.0419012"
inkscape:cx="277.85744"
inkscape:cy="254.34273"
inkscape:window-width="1920"
inkscape:window-height="999"
inkscape:window-x="0"
inkscape:window-y="0"
inkscape:window-maximized="1"
inkscape:current-layer="layer2" />
<defs
id="defs2">
<marker
style="overflow:visible"
id="Arrow2"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-9"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-1" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-9-7"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-1-0" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-93"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-6" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-9-7-2"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-1-0-6" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-93-1"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-6-8" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-9-75"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-1-9" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-9-75-2"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-1-9-8" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-9-75-7"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-1-9-3" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-9-75-7-1"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-1-9-3-2" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-93-1-4"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-6-8-7" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-9-7-2-8"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-1-0-6-4" />
</marker>
</defs>
<g
inkscape:label="Layer 1"
inkscape:groupmode="layer"
id="layer1"
sodipodi:insensitive="true">
<rect
style="fill:#ffffff;stroke:none;stroke-width:1;stop-color:#000000"
id="rect288"
width="209.84705"
height="104.42732"
x="0.77790999"
y="0.93738818" />
</g>
<g
inkscape:groupmode="layer"
id="layer2"
inkscape:label="Layer 2">
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
x="164.56372"
y="99.307442"
id="text951"><tspan
sodipodi:role="line"
id="tspan949"
style="stroke-width:0.264583;fill:#000000"
x="164.56372"
y="99.307442">$\{\}$</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
x="164.56372"
y="13.151893"
id="text1005"><tspan
sodipodi:role="line"
id="tspan1003"
style="stroke-width:0.264583;fill:#000000"
x="164.56372"
y="13.151893">$\{a,b,c\}$</tspan></text>
<g
id="g1175"
transform="translate(51.996784,3.5774043)">
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
x="49.27084"
y="67.008698"
id="text1009"><tspan
sodipodi:role="line"
id="tspan1007"
style="stroke-width:0.264583;fill:#000000"
x="49.27084"
y="67.008698">$\{a\}$</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
x="112.90984"
y="67.017166"
id="text1009-3"><tspan
sodipodi:role="line"
id="tspan1007-6"
style="stroke-width:0.264583;fill:#000000"
x="112.90984"
y="67.017166">$\{b\}$</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
x="176.20593"
y="67.008698"
id="text1009-7"><tspan
sodipodi:role="line"
id="tspan1007-5"
style="stroke-width:0.264583;fill:#000000"
x="176.20593"
y="67.008698">$\{c\}$</tspan></text>
</g>
<g
id="g1183"
transform="translate(51.996784,1.0317046)"
style="fill:#000000">
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
x="112.90984"
y="40.841526"
id="text1117"><tspan
sodipodi:role="line"
id="tspan1115"
style="stroke-width:0.264583;fill:#000000"
x="112.90984"
y="40.841526">$\{a,c\}$</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
x="49.27084"
y="40.841526"
id="text1117-3"><tspan
sodipodi:role="line"
id="tspan1115-5"
style="stroke-width:0.264583;fill:#000000"
x="49.27084"
y="40.841526">$\{a,b\}$</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
x="176.20593"
y="40.841526"
id="text1117-6"><tspan
sodipodi:role="line"
id="tspan1115-2"
style="stroke-width:0.264583;fill:#000000"
x="176.20593"
y="40.841526">$\{b,c\}$</tspan></text>
</g>
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2)"
d="M 153.33622,90.367682 118.34198,73.428915"
id="path1300" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9)"
d="M 177.46016,90.367682 212.4544,73.428915"
id="path1300-2" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-93)"
d="M 153.33622,61.655656 118.34198,44.716889"
id="path1300-0" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-7)"
d="M 177.46016,61.655656 212.4544,44.716889"
id="path1300-2-6" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-93-1)"
d="M 118.34198,61.655656 153.33622,44.716889"
id="path1300-0-7" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-7-2)"
d="M 212.4544,61.655656 177.46016,44.716889"
id="path1300-2-6-9" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-93-1-4)"
d="M 118.34198,34.227412 153.33622,17.288645"
id="path1300-0-7-5" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-7-2-8)"
d="M 212.4544,34.227412 177.46016,17.288645"
id="path1300-2-6-9-0" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-75)"
d="m 228.52843,61.091809 0.33313,-12.554874 m -0.33313,12.554874 0.33313,-12.554874"
id="path1300-2-2"
sodipodi:nodetypes="cc" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-75-2)"
d="m 101.90418,61.091809 0.33313,-12.554874 m -0.33313,12.554874 0.33313,-12.554874"
id="path1300-2-2-9"
sodipodi:nodetypes="cc" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-75-7)"
d="m 165.29305,89.571762 0.33313,-12.554874 m -0.33313,12.554874 0.33313,-12.554874"
id="path1300-2-2-6"
sodipodi:nodetypes="cc" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-75-7-1)"
d="m 165.29305,32.445235 0.33313,-12.554874 m -0.33313,12.554874 0.33313,-12.554874"
id="path1300-2-2-6-9"
sodipodi:nodetypes="cc" />
<circle
style="fill:#ff0000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
id="path3663"
cx="147.35568"
cy="95.24971"
r="2.7302806" />
<circle
style="fill:#008000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
id="path3663-3"
cx="126.08154"
cy="67.968384"
r="2.7302806" />
<circle
style="fill:#800080;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
id="path3663-6"
cx="119.58919"
cy="67.645035"
r="2.7302806" />
<circle
style="fill:#ff0000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
id="path3663-1"
cx="18.004833"
cy="39.402473"
r="2.7302806" />
<circle
style="fill:#008000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
id="path3663-3-0"
cx="18.004833"
cy="30.371933"
r="2.7302806" />
<circle
style="fill:#800080;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
id="path3663-6-6"
cx="18.004833"
cy="21.341394"
r="2.7302806" />
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;stroke-width:0.264583;fill:#000000"
x="6.9525447"
y="13.702217"
id="text3707"><tspan
sodipodi:role="line"
id="tspan3705"
style="stroke-width:0.264583;fill:#000000"
x="6.9525447"
y="13.702217">$write(\{a\})$:</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
x="6.9525447"
y="65.261436"
id="text3707-1"><tspan
sodipodi:role="line"
id="tspan3705-5"
style="fill:#000000;stroke-width:0.264583"
x="6.9525447"
y="65.261436">$read()$:</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
x="23.457415"
y="24.042637"
id="text3750"><tspan
sodipodi:role="line"
id="tspan3748"
style="fill:#000000;stroke-width:0.264583"
x="23.457415"
y="24.042637">$\sqsupseteq \{a\} \to$ OK</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
x="23.457415"
y="33.02087"
id="text3750-3"><tspan
sodipodi:role="line"
id="tspan3748-2"
style="fill:#000000;stroke-width:0.264583"
x="23.457415"
y="33.02087">$\sqsupseteq \{a\} \to$ OK</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#999999;stroke-width:0.264583"
x="23.457415"
y="41.972523"
id="text3750-0"><tspan
sodipodi:role="line"
id="tspan3748-6"
style="fill:#999999;stroke-width:0.264583"
x="23.457415"
y="41.972523">$\not\sqsupseteq \{a\}$</tspan></text>
<circle
style="fill:#ff0000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
id="path3663-6-6-4"
cx="18.004833"
cy="70.942116"
r="2.7302806" />
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
x="23.457415"
y="73.643356"
id="text3750-7"><tspan
sodipodi:role="line"
id="tspan3748-65"
style="fill:#000000;stroke-width:0.264583"
x="23.457415"
y="73.643356">$\to \{\}$</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
x="14.395845"
y="52.022549"
id="text4280"><tspan
sodipodi:role="line"
id="tspan4278"
style="fill:#000000;stroke-width:0.264583"
x="14.395845"
y="52.022549">return OK</tspan></text>
</g>
</svg>

After

Width:  |  Height:  |  Size: 19 KiB

View file

@ -0,0 +1,581 @@
<?xml version="1.0" encoding="UTF-8" standalone="no"?>
<!-- Created with Inkscape (http://www.inkscape.org/) -->
<svg
width="1000"
height="400"
viewBox="0 0 264.58333 105.83333"
version="1.1"
id="svg5"
inkscape:version="1.2.2 (b0a8486541, 2022-12-01)"
sodipodi:docname="lattice7.svg"
xmlns:inkscape="http://www.inkscape.org/namespaces/inkscape"
xmlns:sodipodi="http://sodipodi.sourceforge.net/DTD/sodipodi-0.dtd"
xmlns="http://www.w3.org/2000/svg"
xmlns:svg="http://www.w3.org/2000/svg">
<sodipodi:namedview
id="namedview7"
pagecolor="#ffffff"
bordercolor="#666666"
borderopacity="1.0"
inkscape:showpageshadow="2"
inkscape:pageopacity="0.0"
inkscape:pagecheckerboard="0"
inkscape:deskcolor="#d1d1d1"
inkscape:document-units="mm"
showgrid="false"
inkscape:zoom="1.0419012"
inkscape:cx="276.89766"
inkscape:cy="254.34273"
inkscape:window-width="1920"
inkscape:window-height="999"
inkscape:window-x="0"
inkscape:window-y="0"
inkscape:window-maximized="1"
inkscape:current-layer="layer2" />
<defs
id="defs2">
<marker
style="overflow:visible"
id="Arrow2"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-9"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-1" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-9-7"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-1-0" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-93"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-6" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-9-7-2"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-1-0-6" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-93-1"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-6-8" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-9-75"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-1-9" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-9-75-2"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-1-9-8" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-9-75-7"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-1-9-3" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-9-75-7-1"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-1-9-3-2" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-93-1-4"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-6-8-7" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-9-7-2-8"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-1-0-6-4" />
</marker>
</defs>
<g
inkscape:label="Layer 1"
inkscape:groupmode="layer"
id="layer1"
sodipodi:insensitive="true">
<rect
style="fill:#ffffff;stroke:none;stroke-width:1;stop-color:#000000"
id="rect288"
width="209.84705"
height="104.42732"
x="0.77790999"
y="0.93738818" />
</g>
<g
inkscape:groupmode="layer"
id="layer2"
inkscape:label="Layer 2">
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
x="164.56372"
y="99.307442"
id="text951"><tspan
sodipodi:role="line"
id="tspan949"
style="stroke-width:0.264583;fill:#000000"
x="164.56372"
y="99.307442">$\{\}$</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
x="164.56372"
y="13.151893"
id="text1005"><tspan
sodipodi:role="line"
id="tspan1003"
style="stroke-width:0.264583;fill:#000000"
x="164.56372"
y="13.151893">$\{a,b,c\}$</tspan></text>
<g
id="g1175"
transform="translate(51.996784,3.5774043)">
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
x="49.27084"
y="67.008698"
id="text1009"><tspan
sodipodi:role="line"
id="tspan1007"
style="stroke-width:0.264583;fill:#000000"
x="49.27084"
y="67.008698">$\{a\}$</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
x="112.90984"
y="67.017166"
id="text1009-3"><tspan
sodipodi:role="line"
id="tspan1007-6"
style="stroke-width:0.264583;fill:#000000"
x="112.90984"
y="67.017166">$\{b\}$</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
x="176.20593"
y="67.008698"
id="text1009-7"><tspan
sodipodi:role="line"
id="tspan1007-5"
style="stroke-width:0.264583;fill:#000000"
x="176.20593"
y="67.008698">$\{c\}$</tspan></text>
</g>
<g
id="g1183"
transform="translate(51.996784,1.0317046)"
style="fill:#000000">
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
x="112.90984"
y="40.841526"
id="text1117"><tspan
sodipodi:role="line"
id="tspan1115"
style="stroke-width:0.264583;fill:#000000"
x="112.90984"
y="40.841526">$\{a,c\}$</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
x="49.27084"
y="40.841526"
id="text1117-3"><tspan
sodipodi:role="line"
id="tspan1115-5"
style="stroke-width:0.264583;fill:#000000"
x="49.27084"
y="40.841526">$\{a,b\}$</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
x="176.20593"
y="40.841526"
id="text1117-6"><tspan
sodipodi:role="line"
id="tspan1115-2"
style="stroke-width:0.264583;fill:#000000"
x="176.20593"
y="40.841526">$\{b,c\}$</tspan></text>
</g>
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2)"
d="M 153.33622,90.367682 118.34198,73.428915"
id="path1300" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9)"
d="M 177.46016,90.367682 212.4544,73.428915"
id="path1300-2" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-93)"
d="M 153.33622,61.655656 118.34198,44.716889"
id="path1300-0" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-7)"
d="M 177.46016,61.655656 212.4544,44.716889"
id="path1300-2-6" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-93-1)"
d="M 118.34198,61.655656 153.33622,44.716889"
id="path1300-0-7" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-7-2)"
d="M 212.4544,61.655656 177.46016,44.716889"
id="path1300-2-6-9" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-93-1-4)"
d="M 118.34198,34.227412 153.33622,17.288645"
id="path1300-0-7-5" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-7-2-8)"
d="M 212.4544,34.227412 177.46016,17.288645"
id="path1300-2-6-9-0" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-75)"
d="m 228.52843,61.091809 0.33313,-12.554874 m -0.33313,12.554874 0.33313,-12.554874"
id="path1300-2-2"
sodipodi:nodetypes="cc" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-75-2)"
d="m 101.90418,61.091809 0.33313,-12.554874 m -0.33313,12.554874 0.33313,-12.554874"
id="path1300-2-2-9"
sodipodi:nodetypes="cc" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-75-7)"
d="m 165.29305,89.571762 0.33313,-12.554874 m -0.33313,12.554874 0.33313,-12.554874"
id="path1300-2-2-6"
sodipodi:nodetypes="cc" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-75-7-1)"
d="m 165.29305,32.445235 0.33313,-12.554874 m -0.33313,12.554874 0.33313,-12.554874"
id="path1300-2-2-6-9"
sodipodi:nodetypes="cc" />
<circle
style="fill:#ff0000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
id="path3663"
cx="147.35568"
cy="95.24971"
r="2.7302806" />
<circle
style="fill:#008000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
id="path3663-3"
cx="126.08154"
cy="67.968384"
r="2.7302806" />
<circle
style="fill:#800080;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
id="path3663-6"
cx="119.58919"
cy="67.645035"
r="2.7302806" />
<circle
style="fill:#ff0000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
id="path3663-1"
cx="18.004833"
cy="39.402473"
r="2.7302806" />
<circle
style="fill:#008000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
id="path3663-3-0"
cx="18.004833"
cy="30.371933"
r="2.7302806" />
<circle
style="fill:#800080;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
id="path3663-6-6"
cx="18.004833"
cy="21.341394"
r="2.7302806" />
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;stroke-width:0.264583;fill:#000000"
x="6.9525447"
y="13.702217"
id="text3707"><tspan
sodipodi:role="line"
id="tspan3705"
style="stroke-width:0.264583;fill:#000000"
x="6.9525447"
y="13.702217">$write(\{a\})$:</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
x="6.9525447"
y="65.261436"
id="text3707-1"><tspan
sodipodi:role="line"
id="tspan3705-5"
style="fill:#000000;stroke-width:0.264583"
x="6.9525447"
y="65.261436">$read()$:</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
x="23.457415"
y="24.042637"
id="text3750"><tspan
sodipodi:role="line"
id="tspan3748"
style="fill:#000000;stroke-width:0.264583"
x="23.457415"
y="24.042637">$\sqsupseteq \{a\} \to$ OK</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
x="23.457415"
y="33.02087"
id="text3750-3"><tspan
sodipodi:role="line"
id="tspan3748-2"
style="fill:#000000;stroke-width:0.264583"
x="23.457415"
y="33.02087">$\sqsupseteq \{a\} \to$ OK</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#999999;stroke-width:0.264583"
x="23.457415"
y="41.972523"
id="text3750-0"><tspan
sodipodi:role="line"
id="tspan3748-6"
style="fill:#999999;stroke-width:0.264583"
x="23.457415"
y="41.972523">$\not\sqsupseteq \{a\}$</tspan></text>
<circle
style="fill:#ff0000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
id="path3663-6-6-4"
cx="18.004833"
cy="70.942116"
r="2.7302806" />
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
x="23.457415"
y="73.643356"
id="text3750-7"><tspan
sodipodi:role="line"
id="tspan3748-65"
style="fill:#000000;stroke-width:0.264583"
x="23.457415"
y="73.643356">$\to \{\}$</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
x="14.395845"
y="52.022549"
id="text4280"><tspan
sodipodi:role="line"
id="tspan4278"
style="fill:#000000;stroke-width:0.264583"
x="14.395845"
y="52.022549">return OK</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
x="14.395845"
y="92.005798"
id="text4280-3"><tspan
sodipodi:role="line"
id="tspan4278-7"
style="fill:#000000;stroke-width:0.264583"
x="14.395845"
y="92.005798">return $\{\}\sqcup\{a\}=\{a\}$</tspan></text>
<circle
style="fill:#800080;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
id="path3663-1-5"
cx="18.004833"
cy="81.007744"
r="2.7302806" />
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
x="23.457415"
y="83.577797"
id="text3750-0-6"><tspan
sodipodi:role="line"
id="tspan3748-6-9"
style="fill:#000000;stroke-width:0.264583"
x="23.457415"
y="83.577797">$\to \{a\}$</tspan></text>
</g>
</svg>

After

Width:  |  Height:  |  Size: 20 KiB

View file

@ -0,0 +1,581 @@
<?xml version="1.0" encoding="UTF-8" standalone="no"?>
<!-- Created with Inkscape (http://www.inkscape.org/) -->
<svg
width="1000"
height="400"
viewBox="0 0 264.58333 105.83333"
version="1.1"
id="svg5"
inkscape:version="1.2.2 (b0a8486541, 2022-12-01)"
sodipodi:docname="lattice8.svg"
xmlns:inkscape="http://www.inkscape.org/namespaces/inkscape"
xmlns:sodipodi="http://sodipodi.sourceforge.net/DTD/sodipodi-0.dtd"
xmlns="http://www.w3.org/2000/svg"
xmlns:svg="http://www.w3.org/2000/svg">
<sodipodi:namedview
id="namedview7"
pagecolor="#ffffff"
bordercolor="#666666"
borderopacity="1.0"
inkscape:showpageshadow="2"
inkscape:pageopacity="0.0"
inkscape:pagecheckerboard="0"
inkscape:deskcolor="#d1d1d1"
inkscape:document-units="mm"
showgrid="false"
inkscape:zoom="1.4734708"
inkscape:cx="399.39712"
inkscape:cy="248.39311"
inkscape:window-width="1920"
inkscape:window-height="999"
inkscape:window-x="0"
inkscape:window-y="0"
inkscape:window-maximized="1"
inkscape:current-layer="layer2" />
<defs
id="defs2">
<marker
style="overflow:visible"
id="Arrow2"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-9"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-1" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-9-7"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-1-0" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-93"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-6" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-9-7-2"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-1-0-6" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-93-1"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-6-8" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-9-75"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-1-9" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-9-75-2"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-1-9-8" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-9-75-7"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-1-9-3" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-9-75-7-1"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-1-9-3-2" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-93-1-4"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-6-8-7" />
</marker>
<marker
style="overflow:visible"
id="Arrow2-9-7-2-8"
refX="0"
refY="0"
orient="auto-start-reverse"
inkscape:stockid="Arrow2"
markerWidth="7.6999998"
markerHeight="5.5999999"
viewBox="0 0 7.7 5.6"
inkscape:isstock="true"
inkscape:collect="always"
preserveAspectRatio="xMidYMid">
<path
transform="scale(0.7)"
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
id="arrow2L-1-0-6-4" />
</marker>
</defs>
<g
inkscape:label="Layer 1"
inkscape:groupmode="layer"
id="layer1"
sodipodi:insensitive="true">
<rect
style="fill:#ffffff;stroke:none;stroke-width:1;stop-color:#000000"
id="rect288"
width="209.84705"
height="104.42732"
x="0.77790999"
y="0.93738818" />
</g>
<g
inkscape:groupmode="layer"
id="layer2"
inkscape:label="Layer 2">
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
x="164.56372"
y="99.307442"
id="text951"><tspan
sodipodi:role="line"
id="tspan949"
style="stroke-width:0.264583;fill:#000000"
x="164.56372"
y="99.307442">$\{\}$</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
x="164.56372"
y="13.151893"
id="text1005"><tspan
sodipodi:role="line"
id="tspan1003"
style="stroke-width:0.264583;fill:#000000"
x="164.56372"
y="13.151893">$\{a,b,c\}$</tspan></text>
<g
id="g1175"
transform="translate(51.996784,3.5774043)">
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
x="49.27084"
y="67.008698"
id="text1009"><tspan
sodipodi:role="line"
id="tspan1007"
style="stroke-width:0.264583;fill:#000000"
x="49.27084"
y="67.008698">$\{a\}$</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
x="112.90984"
y="67.017166"
id="text1009-3"><tspan
sodipodi:role="line"
id="tspan1007-6"
style="stroke-width:0.264583;fill:#000000"
x="112.90984"
y="67.017166">$\{b\}$</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
x="176.20593"
y="67.008698"
id="text1009-7"><tspan
sodipodi:role="line"
id="tspan1007-5"
style="stroke-width:0.264583;fill:#000000"
x="176.20593"
y="67.008698">$\{c\}$</tspan></text>
</g>
<g
id="g1183"
transform="translate(51.996784,1.0317046)"
style="fill:#000000">
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
x="112.90984"
y="40.841526"
id="text1117"><tspan
sodipodi:role="line"
id="tspan1115"
style="stroke-width:0.264583;fill:#000000"
x="112.90984"
y="40.841526">$\{a,c\}$</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
x="49.27084"
y="40.841526"
id="text1117-3"><tspan
sodipodi:role="line"
id="tspan1115-5"
style="stroke-width:0.264583;fill:#000000"
x="49.27084"
y="40.841526">$\{a,b\}$</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
x="176.20593"
y="40.841526"
id="text1117-6"><tspan
sodipodi:role="line"
id="tspan1115-2"
style="stroke-width:0.264583;fill:#000000"
x="176.20593"
y="40.841526">$\{b,c\}$</tspan></text>
</g>
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2)"
d="M 153.33622,90.367682 118.34198,73.428915"
id="path1300" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9)"
d="M 177.46016,90.367682 212.4544,73.428915"
id="path1300-2" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-93)"
d="M 153.33622,61.655656 118.34198,44.716889"
id="path1300-0" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-7)"
d="M 177.46016,61.655656 212.4544,44.716889"
id="path1300-2-6" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-93-1)"
d="M 118.34198,61.655656 153.33622,44.716889"
id="path1300-0-7" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-7-2)"
d="M 212.4544,61.655656 177.46016,44.716889"
id="path1300-2-6-9" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-93-1-4)"
d="M 118.34198,34.227412 153.33622,17.288645"
id="path1300-0-7-5" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-7-2-8)"
d="M 212.4544,34.227412 177.46016,17.288645"
id="path1300-2-6-9-0" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-75)"
d="m 228.52843,61.091809 0.33313,-12.554874 m -0.33313,12.554874 0.33313,-12.554874"
id="path1300-2-2"
sodipodi:nodetypes="cc" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-75-2)"
d="m 101.90418,61.091809 0.33313,-12.554874 m -0.33313,12.554874 0.33313,-12.554874"
id="path1300-2-2-9"
sodipodi:nodetypes="cc" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-75-7)"
d="m 165.29305,89.571762 0.33313,-12.554874 m -0.33313,12.554874 0.33313,-12.554874"
id="path1300-2-2-6"
sodipodi:nodetypes="cc" />
<path
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-75-7-1)"
d="m 165.29305,32.445235 0.33313,-12.554874 m -0.33313,12.554874 0.33313,-12.554874"
id="path1300-2-2-6-9"
sodipodi:nodetypes="cc" />
<circle
style="fill:#ff0000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
id="path3663"
cx="132.33408"
cy="68.007973"
r="2.7302806" />
<circle
style="fill:#008000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
id="path3663-3"
cx="126.08154"
cy="67.968384"
r="2.7302806" />
<circle
style="fill:#800080;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
id="path3663-6"
cx="119.58919"
cy="67.645035"
r="2.7302806" />
<circle
style="fill:#ff0000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
id="path3663-1"
cx="18.004833"
cy="39.402473"
r="2.7302806" />
<circle
style="fill:#008000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
id="path3663-3-0"
cx="18.004833"
cy="30.371933"
r="2.7302806" />
<circle
style="fill:#800080;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
id="path3663-6-6"
cx="18.004833"
cy="21.341394"
r="2.7302806" />
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;stroke-width:0.264583;fill:#000000"
x="6.9525447"
y="13.702217"
id="text3707"><tspan
sodipodi:role="line"
id="tspan3705"
style="stroke-width:0.264583;fill:#000000"
x="6.9525447"
y="13.702217">$write(\{a\})$:</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
x="6.9525447"
y="65.261436"
id="text3707-1"><tspan
sodipodi:role="line"
id="tspan3705-5"
style="fill:#000000;stroke-width:0.264583"
x="6.9525447"
y="65.261436">$read()$:</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
x="23.457415"
y="24.042637"
id="text3750"><tspan
sodipodi:role="line"
id="tspan3748"
style="fill:#000000;stroke-width:0.264583"
x="23.457415"
y="24.042637">$\sqsupseteq \{a\} \to$ OK</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
x="23.457415"
y="33.02087"
id="text3750-3"><tspan
sodipodi:role="line"
id="tspan3748-2"
style="fill:#000000;stroke-width:0.264583"
x="23.457415"
y="33.02087">$\sqsupseteq \{a\} \to$ OK</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
x="23.457415"
y="41.972523"
id="text3750-0"><tspan
sodipodi:role="line"
id="tspan3748-6"
style="fill:#000000;stroke-width:0.264583"
x="23.457415"
y="41.972523">$\sqsupseteq \{a\}$</tspan></text>
<circle
style="fill:#ff0000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
id="path3663-6-6-4"
cx="18.004833"
cy="70.942116"
r="2.7302806" />
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
x="23.457415"
y="73.643356"
id="text3750-7"><tspan
sodipodi:role="line"
id="tspan3748-65"
style="fill:#000000;stroke-width:0.264583"
x="23.457415"
y="73.643356">$\to \{\}$</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
x="14.395845"
y="52.022549"
id="text4280"><tspan
sodipodi:role="line"
id="tspan4278"
style="fill:#000000;stroke-width:0.264583"
x="14.395845"
y="52.022549">return OK</tspan></text>
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
x="14.395845"
y="92.005798"
id="text4280-3"><tspan
sodipodi:role="line"
id="tspan4278-7"
style="fill:#000000;stroke-width:0.264583"
x="14.395845"
y="92.005798">return $\{\}\sqcup\{a\}=\{a\}$</tspan></text>
<circle
style="fill:#800080;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
id="path3663-1-5"
cx="18.004833"
cy="81.007744"
r="2.7302806" />
<text
xml:space="preserve"
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
x="23.457415"
y="83.577797"
id="text3750-0-6"><tspan
sodipodi:role="line"
id="tspan3748-6-9"
style="fill:#000000;stroke-width:0.264583"
x="23.457415"
y="83.577797">$\to \{a\}$</tspan></text>
</g>
</svg>

After

Width:  |  Height:  |  Size: 20 KiB

View file

Before

Width:  |  Height:  |  Size: 32 KiB

After

Width:  |  Height:  |  Size: 32 KiB

Binary file not shown.

After

Width:  |  Height:  |  Size: 44 KiB

Binary file not shown.

After

Width:  |  Height:  |  Size: 77 KiB

View file

@ -0,0 +1,149 @@
<?xml version="1.0" encoding="UTF-8" standalone="no"?>
<!-- Created with Inkscape (http://www.inkscape.org/) -->
<svg
version="1.1"
id="svg2"
xml:space="preserve"
width="1600.5095"
height="502.77777"
viewBox="0 0 480.15286 150.83333"
sodipodi:docname="NGI0Entrust_tag.svg"
inkscape:export-filename="NGI0Entrust_tag.png"
inkscape:export-xdpi="96"
inkscape:export-ydpi="96"
inkscape:version="1.3.2 (091e20ef0f, 2023-11-25)"
xmlns:inkscape="http://www.inkscape.org/namespaces/inkscape"
xmlns:sodipodi="http://sodipodi.sourceforge.net/DTD/sodipodi-0.dtd"
xmlns:xlink="http://www.w3.org/1999/xlink"
xmlns="http://www.w3.org/2000/svg"
xmlns:svg="http://www.w3.org/2000/svg"
xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"
xmlns:cc="http://creativecommons.org/ns#"
xmlns:dc="http://purl.org/dc/elements/1.1/"><sodipodi:namedview
id="namedview1"
pagecolor="#ffffff"
bordercolor="#000000"
borderopacity="0.25"
inkscape:showpageshadow="2"
inkscape:pageopacity="0.0"
inkscape:pagecheckerboard="0"
inkscape:deskcolor="#d1d1d1"
inkscape:export-bgcolor="#ffffff00"
inkscape:zoom="0.32251476"
inkscape:cx="581.36873"
inkscape:cy="93.018997"
inkscape:window-width="1900"
inkscape:window-height="1008"
inkscape:window-x="0"
inkscape:window-y="0"
inkscape:window-maximized="1"
inkscape:current-layer="svg2" /><metadata
id="metadata8"><rdf:RDF><cc:Work
rdf:about=""><dc:format>image/svg+xml</dc:format><dc:type
rdf:resource="http://purl.org/dc/dcmitype/StillImage" /></cc:Work></rdf:RDF></metadata><defs
id="defs6"><linearGradient
id="linearGradient1220"><stop
id="stop1216"
offset="0"
style="stop-color:#98bf00;stop-opacity:1;" /><stop
id="stop1218"
offset="1"
style="stop-color:#98bf00;stop-opacity:0.51" /></linearGradient><linearGradient
x1="0"
y1="0"
x2="1"
y2="0"
gradientUnits="userSpaceOnUse"
gradientTransform="matrix(-139.45511,-135.52185,-135.52185,139.45511,177.4727,131.75308)"
spreadMethod="pad"
id="linearGradient28"><stop
style="stop-opacity:1;stop-color:#00afbc"
offset="0"
id="stop24" /><stop
style="stop-opacity:1;stop-color:#205374"
offset="1"
id="stop26" /></linearGradient><clipPath
clipPathUnits="userSpaceOnUse"
id="clipPath38"><path
d="M 0,127.984 H 415.474 V 0 H 0 Z"
id="path36" /></clipPath><linearGradient
xlink:href="#linearGradient1220"
id="linearGradient947"
gradientUnits="userSpaceOnUse"
x1="14.915152"
y1="14.167241"
x2="214.11908"
y2="111.76186"
gradientTransform="matrix(4.4444443,0,0,-4.4444443,-33.008887,535.8)" /><clipPath
clipPathUnits="userSpaceOnUse"
id="clipPath38-9"><path
d="M 0,127.984 H 415.474 V 0 H 0 Z"
id="path36-1" /></clipPath></defs><path
id="path30-1"
style="fill:#f9f9f9;fill-opacity:1;stroke:none;stroke-width:1.33333"
d="m 23.734571,9.0000043 c -8.105334,0 -14.7345708,6.6305707 -14.7345708,14.7345707 V 127.09864 c 0,8.10534 6.6292368,14.73457 14.7345708,14.73457 H 243.78106 c 8.104,0 14.73516,-6.63057 14.73516,-14.73457 v -24.34687 c 0,-2.69601 1.07032,-5.28263 2.97832,-7.19063 l 12.12832,-12.127734 c 3.38667,-3.385335 3.37709,-8.876115 -0.0176,-12.250783 L 261.51622,59.159772 c -1.92,-1.908 -3,-4.505052 -3,-7.211718 V 23.734575 c 0,-8.104 -6.63116,-14.7345707 -14.73516,-14.7345707 z M 167.57344,31.463678 c 7.44667,0 14.20688,1.256061 20.27754,3.764061 2.632,1.088001 5.08275,2.388849 7.34942,3.903516 4.80533,3.209334 5.06012,10.281271 0.42011,13.935937 -2.97733,2.345334 -7.22163,2.377851 -10.34296,0.228516 -4.91334,-3.384 -10.49187,-5.075976 -16.73321,-5.075976 -5.424,0 -10.24005,1.134438 -14.44805,3.398439 -4.21066,2.269332 -7.48813,5.464221 -9.83613,9.593553 -2.348,4.128 -3.5209,8.863551 -3.5209,14.204884 0,5.262666 1.1729,9.957351 3.5209,14.085351 2.348,4.128 5.60586,7.346655 9.7752,9.653322 4.168,2.306669 8.92374,3.459959 14.2664,3.459959 3.10534,0 6.04131,-0.3652 8.80664,-1.09453 2.94134,-0.776 5.18537,-2.993344 6.0627,-5.777344 0.30933,-0.986667 -0.44658,-1.991601 -1.48125,-1.991601 -5.64933,0 -10.18571,-4.761453 -9.81504,-10.489452 0.33867,-5.226669 4.91211,-9.179884 10.15078,-9.179884 h 9.71074 c 0.0867,0 0.17072,0.01023 0.25606,0.0129 0.0867,-0.0027 0.17072,-0.0129 0.25605,-0.0129 h 0.67442 c 4.77733,0 8.64844,3.871852 8.64844,8.647852 v 12.062694 c 0,9.916005 -6.37351,18.792905 -15.84551,21.728905 -0.06,0.0187 -0.12164,0.0376 -0.18164,0.0563 -6.072,1.86133 -12.18391,2.79317 -18.33458,2.79317 -8.82399,0 -16.75577,-1.88135 -23.79843,-5.64668 -7.04267,-3.764 -12.56658,-8.98403 -16.57324,-15.662698 -4.00667,-6.678666 -6.01055,-14.225313 -6.01055,-22.645314 0,-8.417335 2.00388,-15.966223 6.01055,-22.643554 4.00666,-6.678669 9.57036,-11.900032 16.6957,-15.662698 7.12,-3.763998 15.13451,-5.646678 24.03984,-5.646678 z M 42.631642,32.920319 h 1.957032 c 2.911998,0 5.670649,1.305063 7.514647,3.558396 l 32.180275,39.300002 c 2.402667,2.936001 7.160157,1.236303 7.160157,-2.55703 V 42.633404 c 0,-5.365335 4.347753,-9.713085 9.713087,-9.713085 5.36533,0 9.71484,4.34775 9.71484,9.713085 v 65.568166 c 0,5.364 -4.34951,9.71309 -9.71484,9.71309 h -1.841018 c -2.907999,0 -5.662869,-1.30236 -7.508202,-3.54903 L 59.502542,75.025789 c -2.405334,-2.929336 -7.157814,-1.228363 -7.157814,2.562303 v 30.613478 c 0,5.364 -4.347754,9.71309 -9.713086,9.71309 -5.364,0 -9.713085,-4.34909 -9.713085,-9.71309 V 42.633404 c 0,-5.365335 4.349085,-9.713085 9.713085,-9.713085 z m 182.129888,6e-4 c 5.432,0 9.83496,4.402374 9.83496,9.834375 v 65.323826 c 0,5.432 -4.40296,9.83497 -9.83496,9.83497 -5.432,0 -9.83437,-4.40297 -9.83437,-9.83497 V 42.755279 c 0,-5.432001 4.40237,-9.834375 9.83437,-9.834375 z" /><g
id="g10"
transform="matrix(1.3333333,0,0,-1.3333333,-9.9026662,160.74)"><g
id="g40"
transform="translate(175.9982,95.8645)" /><g
id="g44"
transform="translate(152.1193,64.9934)" />
<g
id="NGI0Entrust"><title
id="title12661">NGI Zero Entrust</title><path
id="path7692"
style="fill:#ffffff;fill-opacity:1;stroke:none;stroke-width:0.999999"
d="m 133.10651,96.933602 c -6.67899,0 -12.68988,-1.41201 -18.02988,-4.23501 -5.344,-2.822 -9.51678,-6.73803 -12.52178,-11.74702 -3.004994,-5.008 -4.507906,-10.66967 -4.507906,-16.982669 0,-6.314995 1.502912,-11.974991 4.507906,-16.983985 3.005,-5.008995 7.14794,-8.924024 12.42993,-11.747021 5.282,-2.823998 11.23084,-4.23501 17.84883,-4.23501 4.613,0 9.19693,0.698875 13.75093,2.094873 0.045,0.014 0.0912,0.02819 0.13623,0.04219 7.10399,2.201999 11.88413,8.859686 11.88413,16.29668 v 9.047022 c 0,3.581996 -2.90333,6.485889 -6.48633,6.485889 h -0.50581 c -0.064,0 -0.12704,-0.0077 -0.19204,-0.0097 -0.064,0.002 -0.12704,0.0097 -0.19204,0.0097 h -7.28306 c -3.92899,0 -7.35908,-2.964914 -7.61308,-6.884912 -0.278,-4.295996 3.12428,-7.86709 7.36128,-7.86709 0.776,0 1.34293,-0.753702 1.11093,-1.493702 -0.65799,-2.087998 -2.34102,-3.751009 -4.54702,-4.333008 -2.07399,-0.546999 -4.27598,-0.820898 -6.60498,-0.820898 -4.00699,0 -7.57381,0.864972 -10.6998,2.594971 -3.127,1.729999 -5.5704,4.143993 -7.3314,7.23999 -1.761,3.095997 -2.64067,6.617018 -2.64067,10.564014 0,4.005996 0.87967,7.557666 2.64067,10.653656 1.761,3.097 4.2191,5.49317 7.3771,7.19517 3.156,1.698 6.76804,2.54883 10.83604,2.54883 4.68099,0 8.8649,-1.26899 12.5499,-3.80699 2.341,-1.61199 5.52423,-1.58761 7.75723,0.17139 3.47999,2.741 3.2889,8.04495 -0.31509,10.45196 -1.7,1.13599 -3.53807,2.11163 -5.51206,2.92763 -4.553,1.881 -9.62316,2.82305 -15.20816,2.82305 z m -93.706345,-1.09248 c -4.022996,0 -7.284815,-3.26081 -7.284815,-7.28482 v -49.17612 c 0,-4.022993 3.261819,-7.284815 7.284815,-7.284815 4.023996,0 7.284814,3.261822 7.284814,7.284815 V 62.34029 c 0,2.842996 3.564362,4.118722 5.36836,1.921728 L 76.282148,34.757135 c 1.383999,-1.685 3.450155,-2.661768 5.631153,-2.661768 h 1.380761 c 4.023997,0 7.286133,3.261822 7.286133,7.284815 v 49.17612 c 0,4.02401 -3.262136,7.28482 -7.286133,7.28482 -4.023995,0 -7.284815,-3.26081 -7.284815,-7.28482 V 65.615095 c 0,-2.844997 -3.568118,-4.119773 -5.370117,-1.917774 L 46.503925,93.172322 c -1.382997,1.69 -3.45199,2.6688 -5.635987,2.6688 z m 136.597415,-4.4e-4 c -4.074,0 -7.37578,-3.30178 -7.37578,-7.37578 V 39.472027 c 0,-4.073996 3.30178,-7.37622 7.37578,-7.37622 4.074,0 7.37622,3.302224 7.37622,7.37622 v 48.992875 c 0,4.074 -3.30222,7.37578 -7.37622,7.37578 z" /><path
id="path30"
style="fill:url(#linearGradient947);fill-opacity:1;stroke:none;stroke-width:4.44444"
d="M 79.115234 30 C 52.097457 30 30 52.101902 30 79.115234 L 30 423.66211 C 30 450.67989 52.097457 472.77734 79.115234 472.77734 L 812.60352 472.77734 C 839.61685 472.77734 861.7207 450.67544 861.7207 423.66211 L 861.7207 342.50586 C 861.7207 333.51919 865.28844 324.89711 871.64844 318.53711 L 912.07617 278.11133 C 923.36506 266.82688 923.33313 248.52428 912.01758 237.27539 L 871.7207 197.19922 C 865.3207 190.83922 861.7207 182.18238 861.7207 173.16016 L 861.7207 79.115234 C 861.7207 52.101902 839.61685 30 812.60352 30 L 79.115234 30 z M 558.57812 104.87891 C 583.40035 104.87891 605.93437 109.06578 626.16992 117.42578 C 634.94325 121.05245 643.11241 125.38861 650.66797 130.4375 C 666.68575 141.13528 667.53503 164.7084 652.06836 176.89062 C 642.14392 184.7084 627.99624 184.81679 617.5918 177.65234 C 601.21402 166.37234 582.6189 160.73242 561.81445 160.73242 C 543.73445 160.73242 527.68096 164.51388 513.6543 172.06055 C 499.61874 179.62499 488.69385 190.27462 480.86719 204.03906 C 473.04052 217.79906 469.13086 233.58423 469.13086 251.38867 C 469.13086 268.93089 473.04052 284.57984 480.86719 298.33984 C 488.69385 312.09984 499.55339 322.82869 513.45117 330.51758 C 527.3445 338.20647 543.19697 342.05078 561.00586 342.05078 C 571.35697 342.05078 581.14355 340.83345 590.36133 338.40234 C 600.16577 335.81568 607.64587 328.42453 610.57031 319.14453 C 611.60142 315.85564 609.0817 312.50586 605.63281 312.50586 C 586.8017 312.50586 571.68046 296.63435 572.91602 277.54102 C 574.0449 260.11879 589.28973 246.94141 606.75195 246.94141 L 639.12109 246.94141 C 639.40998 246.94141 639.69016 246.97549 639.97461 246.98438 C 640.2635 246.97549 640.54368 246.94141 640.82812 246.94141 L 643.07617 246.94141 C 659.00062 246.94141 671.9043 259.84758 671.9043 275.76758 L 671.9043 315.97656 C 671.9043 349.0299 650.65927 378.61958 619.08594 388.40625 C 618.88594 388.46847 618.68047 388.53153 618.48047 388.59375 C 598.24047 394.79819 577.86746 397.9043 557.36523 397.9043 C 527.9519 397.9043 501.51266 391.63314 478.03711 379.08203 C 454.56155 366.53536 436.14852 349.13527 422.79297 326.87305 C 409.43741 304.61083 402.75781 279.45534 402.75781 251.38867 C 402.75781 223.33089 409.43741 198.16793 422.79297 175.91016 C 436.14852 153.64793 454.6942 136.24339 478.44531 123.70117 C 502.17865 111.15451 528.89368 104.87891 558.57812 104.87891 z M 142.10547 109.73438 L 148.62891 109.73438 C 158.33557 109.73438 167.53107 114.08459 173.67773 121.5957 L 280.94531 252.5957 C 288.9542 262.38237 304.8125 256.71671 304.8125 244.07227 L 304.8125 142.11133 C 304.8125 124.22688 319.30501 109.73438 337.18945 109.73438 C 355.0739 109.73438 369.57227 124.22688 369.57227 142.11133 L 369.57227 360.67188 C 369.57227 378.55187 355.0739 393.04883 337.18945 393.04883 L 331.05273 393.04883 C 321.3594 393.04883 312.1765 388.70764 306.02539 381.21875 L 198.3418 250.08594 C 190.32402 240.32149 174.48242 245.9914 174.48242 258.62695 L 174.48242 360.67188 C 174.48242 378.55187 159.98991 393.04883 142.10547 393.04883 C 124.22547 393.04883 109.72852 378.55187 109.72852 360.67188 L 109.72852 142.11133 C 109.72852 124.22688 124.22547 109.73438 142.10547 109.73438 z M 749.20508 109.73633 C 767.31174 109.73633 781.98828 124.41091 781.98828 142.51758 L 781.98828 360.26367 C 781.98828 378.37034 767.31174 393.04688 749.20508 393.04688 C 731.09841 393.04688 716.42383 378.37034 716.42383 360.26367 L 716.42383 142.51758 C 716.42383 124.41091 731.09841 109.73633 749.20508 109.73633 z "
transform="matrix(0.22500001,0,0,-0.22500001,7.4269998,120.555)" /><g
aria-label="Z E R O"
transform="scale(1,-1)"
id="text56"
style="font-weight:600;font-size:31.76px;font-family:'Montserrat SemiBold';-inkscape-font-specification:Montserrat-SemiBold;fill:#6f9aa8"><path
d="m 261.75384,-85.665085 -13.08512,15.97528 h 13.498 v 3.4936 H 243.206 v -2.76312 l 13.08512,-15.97528 h -12.8628 v -3.4936 h 18.32552 z"
id="path12603" /><path
d="m 278.84063,-75.787725 v 6.12968 h 12.5452 v 3.46184 h -16.674 v -22.232 h 16.22936 v 3.46184 h -12.10056 v 5.78032 h 10.73488 v 3.39832 z"
id="path12605" /><path
d="m 323.74919,-66.196205 h -4.4464 l -4.54168,-6.5108 q -0.28584,0.03176 -0.85752,0.03176 h -5.01808 v 6.47904 h -4.1288 v -22.232 h 9.14688 q 2.89016,0 5.01808,0.9528 2.15968,0.9528 3.30304,2.73136 1.14336,1.77856 1.14336,4.22408 0,2.50904 -1.23864,4.31936 -1.20688,1.81032 -3.4936,2.6996 z m -4.54168,-14.32376 q 0,-2.12792 -1.39744,-3.27128 -1.39744,-1.14336 -4.09704,-1.14336 h -4.82752 v 8.86104 h 4.82752 q 2.6996,0 4.09704,-1.14336 1.39744,-1.17512 1.39744,-3.30304 z"
id="path12607" /><path
d="m 347.12448,-65.878605 q -3.39832,0 -6.12968,-1.46096 -2.73136,-1.49272 -4.2876,-4.09704 -1.55624,-2.63608 -1.55624,-5.8756 0,-3.23952 1.55624,-5.84384 1.55624,-2.63608 4.2876,-4.09704 2.73136,-1.49272 6.12968,-1.49272 3.39832,0 6.12968,1.49272 2.73136,1.46096 4.2876,4.06528 1.55624,2.60432 1.55624,5.8756 0,3.27128 -1.55624,5.8756 -1.55624,2.60432 -4.2876,4.09704 -2.73136,1.46096 -6.12968,1.46096 z m 0,-3.62064 q 2.2232,0 4.00176,-0.98456 1.77856,-1.01632 2.79488,-2.79488 1.01632,-1.81032 1.01632,-4.03352 0,-2.2232 -1.01632,-4.00176 -1.01632,-1.81032 -2.79488,-2.79488 -1.77856,-1.01632 -4.00176,-1.01632 -2.2232,0 -4.00176,1.01632 -1.77856,0.98456 -2.79488,2.79488 -1.01632,1.77856 -1.01632,4.00176 0,2.2232 1.01632,4.03352 1.01632,1.77856 2.79488,2.79488 1.77856,0.98456 4.00176,0.98456 z"
id="path12609" /></g><g
aria-label="ENTRUST"
transform="scale(0.99994801,-1.000052)"
id="Entrust"
style="font-weight:bold;font-size:20.009px;font-family:'Montserrat SemiBold';-inkscape-font-specification:'Montserrat SemiBold, Bold';letter-spacing:3.55932px;fill:#6f9aa8;stroke-width:0.999947"><path
d="m 245.81989,-41.935548 v 3.861737 h 7.90356 v 2.180981 h -10.50473 v -14.0063 h 10.2246 v 2.180981 h -7.62343 v 3.641638 h 6.76304 v 2.140963 z"
id="path12612" /><path
d="m 270.04847,-40.414864 v -9.484266 h 2.58116 v 14.0063 h -2.14096 l -7.72347,-9.484266 v 9.484266 h -2.58117 v -14.0063 h 2.14097 z"
id="path12614" /><path
d="m 285.39308,-35.89283 h -2.60117 v -11.80531 h -4.64209 v -2.20099 h 11.88535 v 2.20099 h -4.64209 z"
id="path12616" /><path
d="m 307.52074,-35.89283 h -2.80126 l -2.86129,-4.101845 q -0.18008,0.02001 -0.54024,0.02001 h -3.16142 v 4.081836 h -2.60117 v -14.0063 h 5.76259 q 1.82082,0 3.16142,0.60027 1.36061,0.60027 2.08094,1.720774 0.72032,1.120504 0.72032,2.661197 0,1.580711 -0.78035,2.721224 -0.76034,1.140513 -2.20099,1.700765 z m -2.86129,-9.024059 q 0,-1.340603 -0.88039,-2.060927 -0.8804,-0.720324 -2.58116,-0.720324 h -3.04137 v 5.582511 h 3.04137 q 1.70076,0 2.58116,-0.720324 0.88039,-0.740333 0.88039,-2.080936 z"
id="path12618" /><path
d="m 319.76395,-35.69274 q -2.90131,0 -4.52204,-1.620729 -1.62073,-1.640738 -1.62073,-4.682106 v -7.903555 h 2.60117 v 7.80351 q 0,4.121854 3.5616,4.121854 3.5416,0 3.5416,-4.121854 v -7.80351 h 2.56115 v 7.903555 q 0,3.041368 -1.62073,4.682106 -1.60072,1.620729 -4.50202,1.620729 z"
id="path12620" /><path
d="m 337.4296,-35.69274 q -1.62073,0 -3.14141,-0.460207 -1.50068,-0.460207 -2.38107,-1.220549 l 0.9004,-2.020909 q 0.86039,0.680306 2.10095,1.120504 1.26056,0.420189 2.52113,0.420189 1.5607,0 2.32105,-0.500225 0.78035,-0.500225 0.78035,-1.320594 0,-0.60027 -0.4402,-0.980441 -0.42019,-0.40018 -1.08049,-0.620279 -0.66029,-0.220099 -1.80081,-0.500225 -1.60072,-0.380171 -2.60117,-0.760342 -0.98044,-0.380171 -1.70076,-1.180531 -0.70032,-0.820369 -0.70032,-2.20099 0,-1.160522 0.62028,-2.100945 0.64029,-0.960432 1.90086,-1.520684 1.28057,-0.560252 3.1214,-0.560252 1.28058,0 2.52113,0.320144 1.24056,0.320144 2.14097,0.920414 l -0.82037,2.020909 q -0.92042,-0.540243 -1.92087,-0.820369 -1.00045,-0.280126 -1.94087,-0.280126 -1.54069,0 -2.30103,0.520234 -0.74034,0.520234 -0.74034,1.380621 0,0.60027 0.42019,0.980441 0.4402,0.380171 1.1005,0.60027 0.66029,0.220099 1.80081,0.500225 1.5607,0.360162 2.56115,0.760342 1.00045,0.380171 1.70076,1.180531 0.72033,0.80036 0.72033,2.160972 0,1.160522 -0.64029,2.100945 -0.62028,0.940423 -1.90085,1.500675 -1.28058,0.560252 -3.12141,0.560252 z"
id="path12622" /><path
d="m 354.47498,-35.89283 h -2.60117 v -11.80531 h -4.64209 v -2.20099 h 11.88535 v 2.20099 h -4.64209 z"
id="path12624" /></g></g>
<text
style="font-style:normal;font-variant:normal;font-weight:bold;font-stretch:normal;font-size:20.01px;font-family:'Montserrat SemiBold';-inkscape-font-specification:'Montserrat SemiBold, Bold';font-variant-ligatures:normal;font-variant-caps:normal;font-variant-numeric:normal;font-feature-settings:normal;text-align:start;writing-mode:lr-tb;text-anchor:start;fill:#6f9aa8;fill-opacity:1;fill-rule:nonzero;stroke:none;stroke-width:1"
id="text2843"
x="240.16206"
y="-35.894695"
transform="scale(1,-1)"><tspan
id="tspan2841"
x="240.16206"
y="-35.894695" /></text></g></svg>

After

Width:  |  Height:  |  Size: 17 KiB

Binary file not shown.

After

Width:  |  Height:  |  Size: 30 KiB

View file

Before

Width:  |  Height:  |  Size: 12 KiB

After

Width:  |  Height:  |  Size: 12 KiB

Binary file not shown.

After

Width:  |  Height:  |  Size: 7.2 KiB

Binary file not shown.

After

Width:  |  Height:  |  Size: 7.6 KiB

Binary file not shown.

After

Width:  |  Height:  |  Size: 10 KiB

View file

Before

Width:  |  Height:  |  Size: 199 KiB

After

Width:  |  Height:  |  Size: 199 KiB

View file

Before

Width:  |  Height:  |  Size: 13 KiB

After

Width:  |  Height:  |  Size: 13 KiB

Binary file not shown.

After

Width:  |  Height:  |  Size: 21 KiB

View file

@ -0,0 +1,34 @@
<?xml version="1.0" standalone="no"?>
<!DOCTYPE svg PUBLIC "-//W3C//DTD SVG 20010904//EN" "http://www.w3.org/TR/2001/REC-SVG-20010904/DTD/svg10.dtd">
<!-- Created using Karbon14, part of koffice: http://www.koffice.org/karbon -->
<svg xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink" width="449px" height="168px">
<defs>
</defs>
<g id="Layer">
</g>
<g id="Layer">
<path fill="#98bf00" d="M446.602 73.8789L449.102 60.234L436.207 60.234L439.957 40.145L424.512 46.191L422.012 60.234L412.617 60.234L410.117 73.8789L419.363 73.8789L416.215 91.1719C416.066 92.125 415.816 93.5234 415.566 95.3203C415.316 97.1211 415.164 98.7188 415.164 100.07C415.215 106.316 416.715 111.465 419.664 115.516C422.613 119.66 427.41 122.109 434.109 122.859L440.555 109.566C437.105 109.117 434.508 107.766 432.66 105.469C430.809 103.117 429.91 100.168 429.91 96.5703C429.91 95.8711 430.012 94.8711 430.16 93.5234C430.309 92.1719 430.461 91.0742 430.609 90.2227L433.609 73.8789L446.602 73.8789L446.602 73.8789Z" />
<path fill="#98bf00" d="M310.707 72.332C313.105 71.4805 315.207 71.0312 316.957 71.0312C318.855 71.0312 320.453 71.582 321.754 72.6797C323.004 73.7305 323.602 75.2812 323.602 77.4297C323.602 78.0273 323.504 78.9297 323.301 80.1797C323.102 81.3281 322.953 82.3789 322.805 83.2773L319.203 100.168C318.953 101.469 318.703 102.82 318.453 104.219C318.203 105.668 318.105 106.918 318.105 107.965C318.105 112.016 319.203 115.414 321.453 118.113C323.602 120.812 327.449 122.41 333 122.859L339.348 110.016C337.195 109.668 335.648 108.867 334.699 107.617C333.699 106.418 333.199 104.719 333.199 102.57C333.199 102.07 333.25 101.469 333.348 100.82C333.398 100.168 333.5 99.6211 333.547 99.2188L337.195 82.0273C337.496 80.5781 337.746 79.1289 337.945 77.6797C338.148 76.2812 338.246 74.8789 338.246 73.5312C338.246 68.582 336.797 64.586 333.898 61.637C330.949 58.688 326.852 57.188 321.602 57.188C318.555 57.188 315.656 57.688 312.809 58.688C310.008 59.637 306.609 61.234 302.66 63.586C302.512 62.637 302.16 61.484 301.66 60.188C301.113 58.938 300.512 57.836 299.863 56.836L286.469 62.586C287.617 64.336 288.516 66.184 289.066 68.082C289.566 69.9805 289.816 71.7812 289.816 73.4297C289.816 74.2812 289.766 75.3281 289.617 76.4805C289.516 77.6289 289.367 78.5273 289.215 79.1797L281.27 121.512L295.664 121.512L304.109 75.8281C306.16 74.2812 308.359 73.1289 310.707 72.332L310.707 72.332Z" />
<path fill="#98bf00" d="M350.742 80.0781C349.191 84.6758 348.441 89.5742 348.441 94.7227C348.441 99.2188 349.043 103.219 350.191 106.719C351.34 110.215 352.992 113.164 355.09 115.516C357.141 117.914 359.688 119.711 362.637 120.961C365.586 122.211 368.883 122.859 372.484 122.859C376.832 122.859 381.129 122.062 385.43 120.461C389.777 118.863 393.574 116.363 396.824 113.016L391.426 100.519C388.926 103.32 386.176 105.418 383.129 106.867C380.078 108.316 377.031 109.016 374.031 109.016C370.535 109.016 367.785 107.918 365.785 105.719C363.836 103.469 362.836 100.668 362.836 97.3711L362.836 96.4219C362.836 96.0234 362.887 95.6211 362.988 95.2227C365.637 94.8711 368.633 94.4219 371.984 93.8242C375.332 93.2227 378.73 92.5234 382.18 91.7227C385.629 90.875 388.977 89.9258 392.273 88.9258C395.523 87.9258 398.422 86.875 400.871 85.8242L400.871 80.0781C400.871 76.5312 400.32 73.332 399.223 70.4805C398.074 67.734 396.574 65.332 394.625 63.285C392.676 61.285 390.324 59.785 387.676 58.785C385.078 57.738 382.23 57.188 379.18 57.188C374.73 57.188 370.582 58.188 366.836 60.137C363.035 62.086 359.789 64.785 357.141 68.2344C354.391 71.6328 352.293 75.5781 350.742 80.0781L350.742 80.0781ZM372.383 69.9805C373.934 69.1328 375.684 68.7344 377.633 68.7344C380.281 68.7344 382.48 69.582 384.227 71.332C385.977 73.0312 386.879 75.5781 386.879 79.0273C385.43 79.4766 383.727 80.0273 381.73 80.5781C379.68 81.0781 377.633 81.5781 375.531 82.0273C373.383 82.4766 371.332 82.9258 369.285 83.3281C367.234 83.6758 365.484 83.9766 363.984 84.2266C364.234 82.1289 364.688 80.1289 365.387 78.2773C366.137 76.4297 367.086 74.7812 368.234 73.3789C369.484 71.9805 370.832 70.832 372.383 69.9805L372.383 69.9805Z" fill-rule="evenodd" />
<path fill="#000000" d="M404.172 140.453C404.172 139.203 403.969 138.055 403.57 137.055C403.172 136.055 402.621 135.207 401.973 134.457C401.27 133.758 400.473 133.207 399.523 132.856C398.574 132.508 397.523 132.309 396.422 132.309C394.973 132.309 393.625 132.606 392.375 133.156C391.125 133.707 390.027 134.508 389.078 135.504C388.125 136.504 387.379 137.656 386.828 139.004C386.277 140.356 385.977 141.805 385.977 143.402C385.977 144.652 386.176 145.75 386.578 146.801C386.926 147.801 387.477 148.652 388.176 149.352C388.828 150.101 389.676 150.648 390.625 151.051C391.574 151.399 392.625 151.598 393.773 151.598C395.176 151.598 396.523 151.301 397.773 150.75C399.023 150.199 400.121 149.398 401.07 148.402C402.02 147.449 402.77 146.25 403.32 144.902C403.871 143.551 404.172 142.055 404.172 140.453L404.172 140.453ZM390.277 140.402C390.574 139.504 390.977 138.703 391.477 138.004C392.023 137.305 392.676 136.754 393.426 136.305C394.176 135.856 394.973 135.656 395.922 135.656C397.371 135.656 398.422 136.106 399.172 137.004C399.922 137.856 400.32 139.106 400.32 140.652C400.32 141.602 400.172 142.555 399.871 143.504C399.621 144.402 399.223 145.203 398.672 145.902C398.121 146.602 397.473 147.152 396.723 147.601C395.973 148 395.125 148.199 394.223 148.199C392.773 148.199 391.727 147.75 390.977 146.902C390.227 146 389.824 144.801 389.824 143.254C389.824 142.305 389.977 141.352 390.277 140.402L390.277 140.402Z" fill-rule="evenodd" />
<path fill="#000000" d="M434.559 132.559L431.008 132.559L429.109 143.602C429.059 143.754 429.012 144.004 429.012 144.352C429.012 144.703 429.012 144.953 429.012 145.203L428.859 145.203L422.465 132.559L419.113 132.559L415.766 151.301L419.363 151.301L421.363 140.004C421.414 139.856 421.414 139.606 421.414 139.356C421.414 139.106 421.414 138.805 421.414 138.504L421.563 138.504L428.109 151.449L431.309 151.149L434.559 132.559L434.559 132.559Z" />
<path fill="#000000" d="M374.383 132.559L370.734 132.559L367.387 151.301L371.082 151.301L374.383 132.559L374.383 132.559Z" />
<path fill="#000000" d="M328.949 132.559L324.703 132.559C323.902 133.906 323.051 135.457 322.102 137.106C321.152 138.754 320.254 140.453 319.355 142.152C318.453 143.852 317.656 145.5 316.906 147.102C316.156 148.699 315.555 150.101 315.105 151.301L318.953 151.301C319.105 150.949 319.254 150.5 319.453 150.051C319.652 149.602 319.855 149.102 320.105 148.652C320.305 148.199 320.504 147.75 320.703 147.301C320.902 146.852 321.102 146.453 321.254 146.102L327.75 146.102C327.801 146.551 327.801 147 327.852 147.5L328 148.949C328.051 149.398 328.102 149.852 328.152 150.301C328.199 150.75 328.199 151.098 328.199 151.449L331.898 151.149C331.898 150.449 331.848 149.648 331.75 148.699C331.699 147.75 331.551 146.75 331.398 145.703C331.25 144.652 331.098 143.504 330.898 142.351C330.75 141.203 330.551 140.055 330.301 138.906C330.102 137.754 329.898 136.656 329.648 135.555C329.398 134.508 329.199 133.508 328.949 132.559L328.949 132.559ZM326.602 138.106C326.703 138.656 326.801 139.254 326.902 139.902C327 140.504 327.102 141.106 327.152 141.652C327.25 142.203 327.301 142.601 327.352 142.953L322.703 142.953C322.953 142.504 323.203 142.004 323.453 141.453C323.754 140.902 324.051 140.305 324.352 139.703C324.703 139.106 325 138.555 325.301 138.004C325.602 137.453 325.852 136.957 326.102 136.606L326.301 136.606C326.402 137.004 326.5 137.504 326.602 138.106L326.602 138.106Z" fill-rule="evenodd" />
<path fill="#000000" d="M357.641 135.957L358.188 132.559L345.395 132.559L344.844 135.957L349.391 135.957L346.742 151.301L350.391 151.301L353.09 135.957L357.641 135.957L357.641 135.957Z" />
<path fill="#000000" d="M297.465 132.309C296.414 132.309 295.363 132.356 294.312 132.457C293.266 132.606 292.266 132.758 291.316 133.008L288.168 150.852C289.117 151.098 290.215 151.25 291.414 151.399C292.566 151.551 293.664 151.598 294.715 151.598C296.262 151.598 297.664 151.348 299.012 150.852C300.363 150.301 301.562 149.602 302.562 148.652C303.559 147.699 304.359 146.551 304.961 145.203C305.508 143.852 305.809 142.305 305.809 140.606C305.809 139.254 305.609 138.106 305.211 137.055C304.762 136.004 304.211 135.156 303.461 134.457C302.711 133.758 301.812 133.207 300.812 132.856C299.762 132.508 298.664 132.309 297.465 132.309L297.465 132.309ZM296.664 135.707C297.414 135.707 298.113 135.805 298.762 135.957C299.414 136.106 299.961 136.406 300.41 136.805C300.91 137.203 301.312 137.703 301.562 138.356C301.812 138.953 301.961 139.703 301.961 140.652C301.961 141.852 301.812 142.902 301.461 143.852C301.16 144.801 300.711 145.602 300.113 146.25C299.512 146.902 298.812 147.352 297.961 147.699C297.113 148.051 296.215 148.199 295.164 148.199C294.715 148.199 294.266 148.199 293.715 148.152C293.164 148.102 292.664 148.051 292.316 148L294.465 135.906C294.766 135.856 295.164 135.805 295.613 135.754C296.062 135.707 296.414 135.707 296.664 135.707L296.664 135.707Z" fill-rule="evenodd" />
<path fill="#000000" d="M185.809 62.586C186.957 64.336 187.855 66.184 188.406 68.082C188.906 69.9805 189.156 71.7812 189.156 73.4297C189.156 74.2812 189.105 75.3281 188.957 76.4805C188.855 77.6289 188.707 78.5273 188.555 79.1797L180.609 121.512L195.004 121.512L203.449 75.8281C205.5 74.2812 207.699 73.1289 210.047 72.332C212.445 71.4805 214.547 71.0312 216.297 71.0312C218.195 71.0312 219.793 71.582 221.094 72.6797C222.344 73.7305 222.941 75.2812 222.941 77.4297C222.941 78.0273 222.844 78.9297 222.645 80.1797C222.441 81.3281 222.293 82.3789 222.145 83.2773L218.543 100.168C218.293 101.469 218.043 102.82 217.793 104.219C217.547 105.668 217.445 106.918 217.445 107.965C217.445 112.016 218.543 115.414 220.793 118.113C222.941 120.812 226.793 122.41 232.34 122.859L238.688 110.016C236.539 109.668 234.988 108.867 234.039 107.617C233.039 106.418 232.539 104.719 232.539 102.57C232.539 102.07 232.59 101.469 232.688 100.82C232.738 100.168 232.84 99.6211 232.891 99.2188L236.539 82.0273C236.836 80.5781 237.086 79.1289 237.285 77.6797C237.488 76.2812 237.586 74.8789 237.586 73.5312C237.586 68.582 236.137 64.586 233.238 61.637C230.289 58.688 226.191 57.188 220.945 57.188C217.895 57.188 214.996 57.688 212.148 58.688C209.348 59.637 205.949 61.234 202 63.586C201.852 62.637 201.5 61.484 201 60.188C200.453 58.938 199.852 57.836 199.203 56.836L185.809 62.586L185.809 62.586Z" />
<path fill="#000000" d="M276.82 31.547L262.676 31.547L251.883 90.0234C251.43 91.9727 251.082 94.0234 250.832 96.1719C250.582 98.2695 250.434 100.219 250.434 102.019C250.434 107.816 251.531 112.566 253.781 116.262C256.031 119.961 259.828 122.16 265.176 122.859L271.672 109.566C270.625 109.066 269.723 108.516 268.875 107.918C268.023 107.367 267.324 106.617 266.773 105.769C266.176 104.918 265.727 103.918 265.477 102.719C265.227 101.519 265.074 100.019 265.074 98.2695C265.074 97.4219 265.125 96.4727 265.227 95.4727C265.375 94.4219 265.527 93.3711 265.676 92.2734L276.82 31.547L276.82 31.547Z" />
<path fill="#000000" d="M246.434 132.559L242.785 132.559L240.387 146.25C239.887 146.801 239.285 147.25 238.535 147.652C237.785 148 236.988 148.199 236.086 148.199C235.188 148.199 234.488 148 233.988 147.601C233.438 147.152 233.188 146.453 233.188 145.402C233.188 145.203 233.238 144.902 233.289 144.504C233.34 144.152 233.34 143.801 233.387 143.504L235.387 132.559L231.688 132.559L229.738 143.453C229.691 143.902 229.641 144.352 229.59 144.801C229.539 145.25 229.539 145.602 229.539 145.953C229.539 146.953 229.691 147.801 229.988 148.551C230.289 149.301 230.691 149.852 231.191 150.301C231.738 150.75 232.34 151.098 232.988 151.301C233.688 151.5 234.387 151.598 235.137 151.598C236.988 151.598 238.637 151.051 240.137 149.898C240.137 150.148 240.137 150.449 240.188 150.75C240.188 151 240.188 151.25 240.234 151.5L243.883 151.25C243.836 151 243.836 150.75 243.836 150.449C243.785 150.199 243.785 149.898 243.785 149.551C243.785 148.949 243.836 148.301 243.883 147.652C243.934 146.953 243.984 146.301 244.133 145.703L246.434 132.559L246.434 132.559Z" />
<path fill="#000000" d="M276.621 132.559L273.074 132.559L271.172 143.602C271.125 143.754 271.074 144.004 271.074 144.352C271.074 144.703 271.074 144.953 271.074 145.203L270.922 145.203L264.527 132.559L261.176 132.559L257.828 151.301L261.426 151.301L263.426 140.004C263.477 139.856 263.477 139.606 263.477 139.356C263.477 139.106 263.477 138.805 263.477 138.504L263.625 138.504L270.176 151.449L273.371 151.149L276.621 132.559L276.621 132.559Z" />
<path fill="#000000" d="M214.797 134.457C214.098 133.758 213.297 133.207 212.348 132.856C211.398 132.508 210.348 132.309 209.25 132.309C207.801 132.309 206.449 132.606 205.199 133.156C203.949 133.707 202.852 134.508 201.902 135.504C200.953 136.504 200.203 137.656 199.652 139.004C199.102 140.356 198.801 141.805 198.801 143.402C198.801 144.652 199.004 145.75 199.402 146.801C199.754 147.801 200.301 148.652 201 149.352C201.652 150.101 202.5 150.648 203.449 151.051C204.398 151.399 205.449 151.598 206.598 151.598C208 151.598 209.348 151.301 210.598 150.75C211.848 150.199 212.945 149.398 213.895 148.402C214.848 147.449 215.598 146.25 216.145 144.902C216.695 143.551 216.996 142.055 216.996 140.453C216.996 139.203 216.797 138.055 216.395 137.055C215.996 136.055 215.445 135.207 214.797 134.457L214.797 134.457ZM204.301 138.004C204.852 137.305 205.5 136.754 206.25 136.305C207 135.856 207.801 135.656 208.75 135.656C210.199 135.656 211.246 136.106 211.996 137.004C212.746 137.856 213.148 139.106 213.148 140.652C213.148 141.602 212.996 142.555 212.695 143.504C212.445 144.402 212.047 145.203 211.496 145.902C210.949 146.602 210.297 147.152 209.547 147.601C208.797 148 207.949 148.199 207.051 148.199C205.602 148.199 204.551 147.75 203.801 146.902C203.051 146 202.652 144.801 202.652 143.254C202.652 142.305 202.801 141.352 203.102 140.402C203.402 139.504 203.801 138.703 204.301 138.004L204.301 138.004Z" fill-rule="evenodd" />
<path fill="#000000" d="M188.258 132.559L177.961 132.559L174.613 151.301L178.312 151.301L179.559 144.152L186.309 144.152L186.906 140.754L180.16 140.754L181.008 135.957L187.656 135.957L188.258 132.559L188.258 132.559Z" />
<path fill="#98bf00" d="M127.082 44.891C128.43 33.945 125.684 24.102 118.883 15.402C112.086 6.707 103.191 1.66 92.2461 0.309C81.3008 -1.039 71.4531 1.711 62.7578 8.508C54.7109 14.754 49.8125 22.801 48.0625 32.648C47.9141 33.496 47.7617 34.297 47.6641 35.145C47.5625 35.996 47.5117 36.797 47.4648 37.594C47.1133 42.191 47.5625 46.59 48.7617 50.789C50.1133 55.688 52.4609 60.285 55.8594 64.633C59.2578 68.9805 63.1563 72.3828 67.6055 74.9297C71.3516 77.0781 75.5 78.5273 80.0508 79.3281C80.8516 79.4766 81.6484 79.5781 82.5 79.7266C82.9492 79.7773 83.3984 79.8281 83.8477 79.8789C84.9492 75.4297 86.6484 71.2812 88.9961 67.531C87.4453 67.582 85.8477 67.531 84.25 67.383C84.1484 67.332 84.0977 67.332 84.0469 67.332C82.1992 67.082 80.3984 66.734 78.75 66.184C73.6016 64.535 69.2539 61.484 65.707 56.938C62.1562 52.391 60.2578 47.441 59.9062 42.043C59.8086 40.293 59.8594 38.543 60.1094 36.695C60.1094 36.645 60.1094 36.547 60.1094 36.496C61.0586 29.047 64.5078 23 70.4531 18.352C76.4531 13.703 83.1992 11.805 90.7461 12.754C98.293 13.656 104.391 17.102 109.039 23.102C113.688 29.098 115.586 35.844 114.688 43.395C114.438 45.094 114.137 46.691 113.688 48.242C117.887 46.891 122.281 46.191 126.883 46.242C126.93 45.793 127.031 45.344 127.082 44.891L127.082 44.891Z" />
<path fill="#98bf00" d="M132.328 51.488C131.48 51.391 130.68 51.289 129.828 51.238C125.23 50.941 120.832 51.391 116.637 52.539C111.738 53.887 107.141 56.289 102.789 59.688C98.4414 63.035 95.043 66.934 92.5469 71.3828C90.3945 75.1289 88.9453 79.2773 88.0977 83.8281C92.4453 84.5742 96.4453 85.8242 100.141 87.6758C100.391 85.875 100.742 84.1758 101.242 82.5781C102.891 77.4297 105.941 73.082 110.488 69.5312C115.035 65.984 119.984 64.035 125.434 63.684C127.18 63.586 128.93 63.633 130.781 63.883C130.828 63.883 130.879 63.883 130.93 63.883C138.375 64.836 144.426 68.332 149.074 74.2812C153.77 80.2266 155.668 86.9766 154.719 94.5234C153.77 102.07 150.32 108.168 144.375 112.863C138.426 117.512 131.68 119.363 124.23 118.461C125.082 122.512 125.332 126.758 125.031 131.156C134.977 131.809 143.973 128.957 152.02 122.711C160.719 115.914 165.766 107.016 167.113 96.0703C168.465 85.125 165.715 75.2812 158.918 66.582C152.621 58.535 144.574 53.637 134.777 51.891C133.93 51.738 133.129 51.59 132.328 51.488L132.328 51.488Z" />
<path fill="#000000" d="M128.93 78.7266C125.48 78.3281 122.434 79.1797 119.684 81.3281C116.934 83.4766 115.387 86.2266 114.984 89.625C114.535 93.0742 115.387 96.1211 117.535 98.8711C119.684 101.621 122.434 103.168 125.883 103.57C129.281 104.019 132.328 103.168 135.078 101.019C137.828 98.8711 139.375 96.1211 139.824 92.6719C140.227 89.2734 139.375 86.2266 137.227 83.4766C135.078 80.7266 132.328 79.1797 128.93 78.7266L128.93 78.7266Z" />
<path fill="#98bf00" d="M12.8281 73.6289C13.7773 66.082 17.2266 59.938 23.2227 55.289C29.1719 50.641 35.8672 48.742 43.3164 49.691C42.4648 45.641 42.1641 41.395 42.5156 36.996C32.5703 36.344 23.5742 39.145 15.5273 45.441C6.77734 52.238 1.78125 61.137 0.433594 72.082C-0.917969 83.0273 1.78125 92.8242 8.62891 101.57C14.875 109.617 22.9219 114.516 32.7695 116.262C33.5703 116.414 34.3672 116.512 35.2188 116.664C36.0664 116.762 36.8672 116.863 37.7188 116.914C42.3164 117.215 46.7148 116.762 50.9102 115.613C55.7578 114.215 60.4062 111.816 64.7578 108.465C69.0547 105.066 72.4531 101.168 75.0039 96.7695C77.1523 93.0234 78.6016 88.875 79.4492 84.3281C75.1016 83.5781 71.1055 82.2773 67.4062 80.4766C67.1563 82.2266 66.8047 83.9258 66.3047 85.5742C64.6562 90.7227 61.6055 95.0703 57.0586 98.6211C52.5117 102.168 47.5625 104.117 42.1641 104.469C40.4141 104.566 38.6172 104.519 36.7656 104.269C36.7188 104.269 36.668 104.269 36.6172 104.219C29.1719 103.269 23.1211 99.8203 18.4727 93.8711C13.7773 87.875 11.8789 81.1289 12.8281 73.6289L12.8281 73.6289Z" />
<path fill="#000000" d="M32.4688 67.133C29.7188 69.2305 28.1719 72.0312 27.7227 75.4805C27.3203 78.8281 28.1719 81.8789 30.3203 84.625C32.418 87.375 35.168 88.9727 38.6172 89.4258C42.0664 89.7734 45.1133 88.9258 47.8633 86.8242C50.5625 84.6758 52.1094 81.8789 52.5625 78.5273C53.0117 75.0781 52.1602 71.9805 50.0117 69.2812C47.8633 66.535 45.1133 64.984 41.6641 64.586C38.2148 64.133 35.168 64.984 32.4688 67.133L32.4688 67.133Z" />
<path fill="#000000" d="M97.293 32.348C95.1445 29.598 92.3438 28.047 88.9453 27.648C85.4961 27.199 82.4492 28.047 79.75 30.199C77 32.297 75.4023 35.098 75.0039 38.543C74.5508 41.941 75.4531 44.992 77.6016 47.742C79.6992 50.441 82.4492 52.039 85.8984 52.488C89.2969 52.84 92.3438 51.988 95.0938 49.891C97.8438 47.742 99.3906 44.941 99.8438 41.594C100.242 38.145 99.3906 35.047 97.293 32.348L97.293 32.348Z" />
<path fill="#98bf00" d="M85.0469 88.4258C84.5977 88.375 84.1484 88.3242 83.6992 88.2734C82.5977 92.7227 80.8984 96.8711 78.5508 100.621C80.1016 100.519 81.6992 100.57 83.3477 100.769C83.3984 100.769 83.4492 100.769 83.5 100.82C85.3477 101.019 87.0977 101.371 88.7969 101.918C93.9453 103.57 98.293 106.668 101.84 111.215C105.391 115.715 107.289 120.66 107.641 126.109C107.738 127.859 107.688 129.609 107.438 131.457C107.438 131.508 107.438 131.559 107.438 131.656C106.488 139.106 103.039 145.152 97.0938 149.801C91.0938 154.449 84.3477 156.348 76.8008 155.398C69.2539 154.449 63.1563 151 58.5078 145.051C53.8086 139.055 51.9102 132.309 52.8594 124.762C53.0625 123.062 53.4102 121.461 53.9102 119.91C49.6641 121.262 45.2656 121.91 40.6641 121.91C40.6172 122.359 40.5156 122.812 40.4648 123.262C39.1172 134.207 41.8164 144.004 48.6641 152.75C55.4609 161.445 64.3555 166.492 75.3008 167.844C86.2461 169.191 96.043 166.445 104.789 159.645C112.836 153.348 117.734 145.301 119.484 135.457C119.633 134.656 119.734 133.856 119.883 133.008C119.934 132.156 120.035 131.359 120.082 130.559C120.383 125.91 119.934 121.512 118.785 117.363C117.434 112.465 115.035 107.867 111.688 103.519C108.289 99.1719 104.391 95.7227 99.9922 93.2227C96.1953 91.0742 92.0469 89.625 87.4961 88.8242C86.6992 88.6758 85.8984 88.5234 85.0469 88.4258L85.0469 88.4258Z" />
<path fill="#000000" d="M89.9961 120.41C87.8477 117.664 85.0977 116.113 81.6484 115.664C78.1992 115.266 75.1523 116.113 72.4531 118.262C69.7031 120.41 68.1562 123.16 67.7031 126.559C67.2539 130.008 68.1562 133.059 70.3047 135.805C72.4024 138.555 75.1523 140.106 78.6016 140.504C82.0508 140.953 85.0977 140.106 87.8477 137.953C90.5469 135.805 92.0938 133.059 92.5469 129.609C92.9453 126.211 92.0938 123.16 89.9961 120.41L89.9961 120.41Z" />
</g>
</svg>

After

Width:  |  Height:  |  Size: 20 KiB

Binary file not shown.

After

Width:  |  Height:  |  Size: 22 KiB

View file

Before

Width:  |  Height:  |  Size: 14 KiB

After

Width:  |  Height:  |  Size: 14 KiB

Binary file not shown.

After

Width:  |  Height:  |  Size: 177 KiB

Binary file not shown.

After

Width:  |  Height:  |  Size: 144 KiB

Binary file not shown.

After

Width:  |  Height:  |  Size: 189 KiB

Binary file not shown.

After

Width:  |  Height:  |  Size: 128 KiB

Binary file not shown.

After

Width:  |  Height:  |  Size: 91 KiB

Binary file not shown.

After

Width:  |  Height:  |  Size: 90 KiB

Binary file not shown.

After

Width:  |  Height:  |  Size: 233 KiB

Binary file not shown.

After

Width:  |  Height:  |  Size: 127 KiB

Binary file not shown.

After

Width:  |  Height:  |  Size: 49 KiB

Binary file not shown.

After

Width:  |  Height:  |  Size: 82 KiB

Binary file not shown.

After

Width:  |  Height:  |  Size: 73 KiB

Binary file not shown.

After

Width:  |  Height:  |  Size: 57 KiB

Some files were not shown because too many files have changed in this diff Show more