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Diffstat (limited to 'doc')
100 files changed, 20817 insertions, 395 deletions
diff --git a/doc/api/garage-admin-v0.yml b/doc/api/garage-admin-v0.yml index a841f8d9..51968894 100644 --- a/doc/api/garage-admin-v0.yml +++ b/doc/api/garage-admin-v0.yml @@ -678,10 +678,12 @@ paths: properties: maxSize: type: integer + format: int64 nullable: true example: 19029801 maxObjects: type: integer + format: int64 nullable: true example: null @@ -1158,9 +1160,11 @@ components: $ref: '#/components/schemas/BucketKeyInfo' objects: type: integer + format: int64 example: 14827 bytes: type: integer + format: int64 example: 13189855625 unfinishedUploads: type: integer @@ -1171,10 +1175,12 @@ components: maxSize: nullable: true type: integer + format: int64 example: null maxObjects: nullable: true type: integer + format: int64 example: null diff --git a/doc/book/connect/_index.md b/doc/book/connect/_index.md index ca44ac17..93a2b87e 100644 --- a/doc/book/connect/_index.md +++ b/doc/book/connect/_index.md @@ -10,11 +10,12 @@ Garage implements the Amazon S3 protocol, which makes it compatible with many ex In particular, you will find here instructions to connect it with: - - [Browsing tools](@/documentation/connect/cli.md) - [Applications](@/documentation/connect/apps/index.md) - - [Website hosting](@/documentation/connect/websites.md) - - [Software repositories](@/documentation/connect/repositories.md) + - [Browsing tools](@/documentation/connect/cli.md) - [FUSE](@/documentation/connect/fs.md) + - [Observability](@/documentation/connect/observability.md) + - [Software repositories](@/documentation/connect/repositories.md) + - [Website hosting](@/documentation/connect/websites.md) ### Generic instructions diff --git a/doc/book/connect/apps/index.md b/doc/book/connect/apps/index.md index 78d9310d..e2d007c3 100644 --- a/doc/book/connect/apps/index.md +++ b/doc/book/connect/apps/index.md @@ -13,7 +13,7 @@ In this section, we cover the following web applications: | [Matrix](#matrix) | ✅ | Tested with `synapse-s3-storage-provider` | | [Pixelfed](#pixelfed) | ❓ | Not yet tested | | [Pleroma](#pleroma) | ❓ | Not yet tested | -| [Lemmy](#lemmy) | ❓ | Not yet tested | +| [Lemmy](#lemmy) | ✅ | Supported with pict-rs | | [Funkwhale](#funkwhale) | ❓ | Not yet tested | | [Misskey](#misskey) | ❓ | Not yet tested | | [Prismo](#prismo) | ❓ | Not yet tested | @@ -484,7 +484,68 @@ And add a new line. For example, to run it every 10 minutes: ## Lemmy -Lemmy uses pict-rs that [supports S3 backends](https://git.asonix.dog/asonix/pict-rs/commit/f9f4fc63d670f357c93f24147c2ee3e1278e2d97) +Lemmy uses pict-rs that [supports S3 backends](https://git.asonix.dog/asonix/pict-rs/commit/f9f4fc63d670f357c93f24147c2ee3e1278e2d97). +This feature requires `pict-rs >= 4.0.0`. + +### Creating your bucket + +This is the usual Garage setup: + +```bash +garage key new --name pictrs-key +garage bucket create pictrs-data +garage bucket allow pictrs-data --read --write --key pictrs-key +``` + +Note the Key ID and Secret Key. + +### Migrating your data + +If your pict-rs instance holds existing data, you first need to migrate to the S3 bucket. + +Stop pict-rs, then run the migration utility from local filesystem to the bucket: + +``` +pict-rs \ + filesystem -p /path/to/existing/files \ + object-store \ + -e my-garage-instance.mydomain.tld:3900 \ + -b pictrs-data \ + -r garage \ + -a GK... \ + -s abcdef0123456789... +``` + +This is pretty slow, so hold on while migrating. + +### Running pict-rs with an S3 backend + +Pict-rs supports both a configuration file and environment variables. + +Either set the following section in your `pict-rs.toml`: + +``` +[store] +type = 'object_storage' +endpoint = 'http://my-garage-instance.mydomain.tld:3900' +bucket_name = 'pictrs-data' +region = 'garage' +access_key = 'GK...' +secret_key = 'abcdef0123456789...' +``` + +... or set these environment variables: + + +``` +PICTRS__STORE__TYPE=object_storage +PICTRS__STORE__ENDPOINT=http:/my-garage-instance.mydomain.tld:3900 +PICTRS__STORE__BUCKET_NAME=pictrs-data +PICTRS__STORE__REGION=garage +PICTRS__STORE__ACCESS_KEY=GK... +PICTRS__STORE__SECRET_KEY=abcdef0123456789... +``` + ## Funkwhale diff --git a/doc/book/connect/backup.md b/doc/book/connect/backup.md index 919e78c3..97a89e36 100644 --- a/doc/book/connect/backup.md +++ b/doc/book/connect/backup.md @@ -13,7 +13,41 @@ Borg Backup is very popular among the backup tools but it is not yet compatible We recommend using any other tool listed in this guide because they are all compatible with the S3 API. If you still want to use Borg, you can use it with `rclone mount`. +## git-annex +[git-annex](https://git-annex.branchable.com/) supports synchronizing files +with its [S3 special remote](https://git-annex.branchable.com/special_remotes/S3/). + +Note that `git-annex` requires to be compiled with Haskell package version +`aws-0.24` to work with Garage. + +```bash +garage key new --name my-key +garage bucket create my-git-annex +garage bucket allow my-git-annex --read --write --key my-key +``` + +Register your Key ID and Secret key in your environment: + +```bash +export AWS_ACCESS_KEY_ID=GKxxx +export AWS_SECRET_ACCESS_KEY=xxxx +``` + +Within a git-annex enabled repository, configure your Garage S3 endpoint with +the following command: + +```bash +git annex initremote garage type=S3 encryption=none host=my-garage-instance.mydomain.tld protocol=https bucket=my-git-annex requeststyle=path region=garage signature=v4 +``` + +Files can now be synchronized using the usual `git-annex` `copy` or `get` +commands. + +Note that for simplicity - this example does not enable encryption for the files +sent to Garage - please refer to the +[git-annex encryption page](https://git-annex.branchable.com/encryption/) for +how to configure this. ## Restic diff --git a/doc/book/connect/cli.md b/doc/book/connect/cli.md index 74e2d7ed..591ac151 100644 --- a/doc/book/connect/cli.md +++ b/doc/book/connect/cli.md @@ -12,6 +12,7 @@ These tools are particularly suitable for debug, backups, website deployments or | [AWS CLI](#aws-cli) | ✅ | Recommended | | [rclone](#rclone) | ✅ | | | [s3cmd](#s3cmd) | ✅ | | +| [s5cmd](#s5cmd) | ✅ | | | [(Cyber)duck](#cyberduck) | ✅ | | | [WinSCP (libs3)](#winscp) | ✅ | CLI instructions only | | [sftpgo](#sftpgo) | ✅ | | @@ -178,59 +179,34 @@ s3cmd put /tmp/hello.txt s3://my-bucket/ s3cmd get s3://my-bucket/hello.txt hello.txt ``` -## Cyberduck & duck {#cyberduck} +## `s5cmd` -Both Cyberduck (the GUI) and duck (the CLI) have a concept of "Connection Profiles" that contain some presets for a specific provider. -We wrote the following connection profile for Garage: - -```xml -<?xml version="1.0" encoding="UTF-8"?> -<!DOCTYPE plist PUBLIC "-//Apple//DTD PLIST 1.0//EN" "http://www.apple.com/DTDs/PropertyList-1.0.dtd"> -<plist version="1.0"> - <dict> - <key>Protocol</key> - <string>s3</string> - <key>Vendor</key> - <string>garage</string> - <key>Scheme</key> - <string>https</string> - <key>Description</key> - <string>GarageS3</string> - <key>Default Hostname</key> - <string>127.0.0.1</string> - <key>Default Port</key> - <string>4443</string> - <key>Hostname Configurable</key> - <false/> - <key>Port Configurable</key> - <false/> - <key>Username Configurable</key> - <true/> - <key>Username Placeholder</key> - <string>Access Key ID (GK...)</string> - <key>Password Placeholder</key> - <string>Secret Key</string> - <key>Properties</key> - <array> - <string>s3service.disable-dns-buckets=true</string> - </array> - <key>Region</key> - <string>garage</string> - <key>Regions</key> - <array> - <string>garage</string> - </array> - </dict> -</plist> +Configure a credentials file as follows: + +```bash +export AWS_ACCESS_KEY_ID=GK... +export AWS_SECRET_ACCESS_KEY= +export AWS_DEFAULT_REGION='garage' +export AWS_ENDPOINT='http://localhost:3900' ``` -*Note: If your garage instance is configured with vhost access style, you can remove `s3service.disable-dns-buckets=true`.* +After adding these environment variables in your shell, `s5cmd` can be used +with: -### Instructions for the GUI +```bash +s5cmd --endpoint-url=$AWS_ENDPOINT ls +``` + +See its usage output for other commands available. + +## Cyberduck & duck {#cyberduck} + +Both Cyberduck (the GUI) and duck (the CLI) have a concept of "Connection Profiles" that contain some presets for a specific provider. -Copy the connection profile, and save it anywhere as `garage.cyberduckprofile`. -Then find this file with your file explorer and double click on it: Cyberduck will open a connection wizard for this profile. -Simply follow the wizard and you should be done! +Within Cyberduck, a +[Garage connection profile](https://docs.cyberduck.io/protocols/s3/garage/) is +available within the `Preferences -> Profiles` section. This can enabled and +then connections to Garage may be configured. ### Instuctions for the CLI diff --git a/doc/book/connect/observability.md b/doc/book/connect/observability.md new file mode 100644 index 00000000..c5037fa4 --- /dev/null +++ b/doc/book/connect/observability.md @@ -0,0 +1,57 @@ ++++ +title = "Observability" +weight = 25 ++++ + +An object store can be used as data storage location for metrics, and logs which +can then be leveraged for systems observability. + +## Metrics + +### Prometheus + +Prometheus itself has no object store capabilities, however two projects exist +which support storing metrics in an object store: + + - [Cortex](https://cortexmetrics.io/) + - [Thanos](https://thanos.io/) + +## System logs + +### Vector + +[Vector](https://vector.dev/) natively supports S3 as a +[data sink](https://vector.dev/docs/reference/configuration/sinks/aws_s3/) +(and [source](https://vector.dev/docs/reference/configuration/sources/aws_s3/)). + +This can be configured with Garage with the following: + +```bash +garage key new --name vector-system-logs +garage bucket create system-logs +garage bucket allow system-logs --read --write --key vector-system-logs +``` + +The `vector.toml` can then be configured as follows: + +```toml +[sources.journald] +type = "journald" +current_boot_only = true + +[sinks.out] +encoding.codec = "json" +type = "aws_s3" +inputs = [ "journald" ] +bucket = "system-logs" +key_prefix = "%F/" +compression = "none" +region = "garage" +endpoint = "https://my-garage-instance.mydomain.tld" +auth.access_key_id = "" +auth.secret_access_key = "" +``` + +This is an example configuration - please refer to the Vector documentation for +all configuration and transformation possibilities. Also note that Garage +performs its own compression, so this should be disabled in Vector. diff --git a/doc/book/cookbook/_index.md b/doc/book/cookbook/_index.md index 6e279363..07bf6ebf 100644 --- a/doc/book/cookbook/_index.md +++ b/doc/book/cookbook/_index.md @@ -6,7 +6,7 @@ sort_by = "weight" +++ A cookbook, when you cook, is a collection of recipes. -Similarly, Garage's cookbook contains a collection of recipes that are known to works well! +Similarly, Garage's cookbook contains a collection of recipes that are known to work well! This chapter could also be referred as "Tutorials" or "Best practices". - **[Multi-node deployment](@/documentation/cookbook/real-world.md):** This page will walk you through all of the necessary @@ -16,6 +16,10 @@ This chapter could also be referred as "Tutorials" or "Best practices". source in case a binary is not provided for your architecture, or if you want to hack with us! +- **[Binary packages](@/documentation/cookbook/binary-packages.md):** This page + lists the different platforms that provide ready-built software packages for + Garage. + - **[Integration with Systemd](@/documentation/cookbook/systemd.md):** This page explains how to run Garage as a Systemd service (instead of as a Docker container). @@ -26,6 +30,14 @@ This chapter could also be referred as "Tutorials" or "Best practices". - **[Configuring a reverse-proxy](@/documentation/cookbook/reverse-proxy.md):** This page explains how to configure a reverse-proxy to add TLS support to your S3 api endpoint. +- **[Deploying on Kubernetes](@/documentation/cookbook/kubernetes.md):** This page explains how to deploy Garage on Kubernetes using our Helm chart. + +- **[Deploying with Ansible](@/documentation/cookbook/ansible.md):** This page lists available Ansible roles developed by the community to deploy Garage. + +- **[Monitoring Garage](@/documentation/cookbook/monitoring.md)** This page + explains the Prometheus metrics available for monitoring the Garage + cluster/nodes. + - **[Recovering from failures](@/documentation/cookbook/recovering.md):** Garage's first selling point is resilience to hardware failures. This section explains how to recover from such a failure in the best possible way. diff --git a/doc/book/cookbook/ansible.md b/doc/book/cookbook/ansible.md new file mode 100644 index 00000000..6d624c9c --- /dev/null +++ b/doc/book/cookbook/ansible.md @@ -0,0 +1,51 @@ ++++ +title = "Deploying with Ansible" +weight = 35 ++++ + +While Ansible is not officially supported to deploy Garage, several community members +have published Ansible roles. We list them and compare them below. + +## Comparison of Ansible roles + +| Feature | [ansible-role-garage](#zorun-ansible-role-garage) | [garage-docker-ansible-deploy](#moan0s-garage-docker-ansible-deploy) | +|------------------------------------|---------------------------------------------|---------------------------------------------------------------| +| **Runtime** | Systemd | Docker | +| **Target OS** | Any Linux | Any Linux | +| **Architecture** | amd64, arm64, i686 | amd64, arm64 | +| **Additional software** | None | Traefik | +| **Automatic node connection** | ❌ | ✅ | +| **Layout management** | ❌ | ✅ | +| **Manage buckets & keys** | ❌ | ✅ (basic) | +| **Allow custom Garage config** | ✅ | ❌ | +| **Facilitate Garage upgrades** | ✅ | ❌ | +| **Multiple instances on one host** | ✅ | ✅ | + + +## zorun/ansible-role-garage + +[Source code](https://github.com/zorun/ansible-role-garage), [Ansible galaxy](https://galaxy.ansible.com/zorun/garage) + +This role is voluntarily simple: it relies on the official Garage static +binaries and only requires Systemd. As such, it should work on any +Linux-based OS. + +To make things more flexible, the user has to provide a Garage +configuration template. This allows to customize Garage configuration in +any way. + +Some more features might be added, such as a way to automatically connect +nodes to each other or to define a layout. + +## moan0s/garage-docker-ansible-deploy + +[Source code](https://github.com/moan0s/garage-docker-ansible-deploy), [Blog post](https://hyteck.de/post/garage/) + +This role is based on the Docker image for Garage, and comes with +"batteries included": it will additionally install Docker and Traefik. In +addition, it is "opinionated" in the sense that it expects a particular +deployment structure (one instance per disk, one gateway per host, +structured DNS names, etc). + +As a result, this role makes it easier to start with Garage on Ansible, +but is less flexible. diff --git a/doc/book/cookbook/binary-packages.md b/doc/book/cookbook/binary-packages.md new file mode 100644 index 00000000..606de2b6 --- /dev/null +++ b/doc/book/cookbook/binary-packages.md @@ -0,0 +1,28 @@ ++++ +title = "Binary packages" +weight = 11 ++++ + +Garage is also available in binary packages on: + +## Alpine Linux + +```bash +apk install garage +``` + +## Arch Linux + +Garage is available in the [AUR](https://aur.archlinux.org/packages/garage). + +## FreeBSD + +```bash +pkg install garage +``` + +## NixOS + +```bash +nix-shell -p garage +``` diff --git a/doc/book/cookbook/gateways.md b/doc/book/cookbook/gateways.md index 62ed0fe2..ce4c7fa8 100644 --- a/doc/book/cookbook/gateways.md +++ b/doc/book/cookbook/gateways.md @@ -21,7 +21,7 @@ You can configure Garage as a gateway on all nodes that will consume your S3 API The instructions are similar to a regular node, the only option that is different is while configuring the node, you must set the `--gateway` parameter: ```bash -garage layout assign --gateway --tag gw1 <node_id> +garage layout assign --gateway --tag gw1 -z dc1 <node_id> garage layout show # review the changes you are making garage layout apply # once satisfied, apply the changes ``` diff --git a/doc/book/cookbook/kubernetes.md b/doc/book/cookbook/kubernetes.md index 9eafe3e1..dfeb3281 100644 --- a/doc/book/cookbook/kubernetes.md +++ b/doc/book/cookbook/kubernetes.md @@ -48,7 +48,8 @@ garage: replicationMode: "2" # Start 4 instances (StatefulSets) of garage -replicaCount: 4 +deployment: + replicaCount: 4 # Override default storage class and size persistence: diff --git a/doc/book/cookbook/monitoring.md b/doc/book/cookbook/monitoring.md index 8206f645..8313daa9 100644 --- a/doc/book/cookbook/monitoring.md +++ b/doc/book/cookbook/monitoring.md @@ -52,255 +52,6 @@ or make your own. We detail below the list of exposed metrics and their meaning. - ## List of exported metrics - -### Metrics of the API endpoints - -#### `api_admin_request_counter` (counter) - -Counts the number of requests to a given endpoint of the administration API. Example: - -``` -api_admin_request_counter{api_endpoint="Metrics"} 127041 -``` - -#### `api_admin_request_duration` (histogram) - -Evaluates the duration of API calls to the various administration API endpoint. Example: - -``` -api_admin_request_duration_bucket{api_endpoint="Metrics",le="0.5"} 127041 -api_admin_request_duration_sum{api_endpoint="Metrics"} 605.250344830999 -api_admin_request_duration_count{api_endpoint="Metrics"} 127041 -``` - -#### `api_s3_request_counter` (counter) - -Counts the number of requests to a given endpoint of the S3 API. Example: - -``` -api_s3_request_counter{api_endpoint="CreateMultipartUpload"} 1 -``` - -#### `api_s3_error_counter` (counter) - -Counts the number of requests to a given endpoint of the S3 API that returned an error. Example: - -``` -api_s3_error_counter{api_endpoint="GetObject",status_code="404"} 39 -``` - -#### `api_s3_request_duration` (histogram) - -Evaluates the duration of API calls to the various S3 API endpoints. Example: - -``` -api_s3_request_duration_bucket{api_endpoint="CreateMultipartUpload",le="0.5"} 1 -api_s3_request_duration_sum{api_endpoint="CreateMultipartUpload"} 0.046340762 -api_s3_request_duration_count{api_endpoint="CreateMultipartUpload"} 1 -``` - -#### `api_k2v_request_counter` (counter), `api_k2v_error_counter` (counter), `api_k2v_error_duration` (histogram) - -Same as for S3, for the K2V API. - - -### Metrics of the Web endpoint - - -#### `web_request_counter` (counter) - -Number of requests to the web endpoint - -``` -web_request_counter{method="GET"} 80 -``` - -#### `web_request_duration` (histogram) - -Duration of requests to the web endpoint - -``` -web_request_duration_bucket{method="GET",le="0.5"} 80 -web_request_duration_sum{method="GET"} 1.0528433229999998 -web_request_duration_count{method="GET"} 80 -``` - -#### `web_error_counter` (counter) - -Number of requests to the web endpoint resulting in errors - -``` -web_error_counter{method="GET",status_code="404 Not Found"} 64 -``` - - -### Metrics of the data block manager - -#### `block_bytes_read`, `block_bytes_written` (counter) - -Number of bytes read/written to/from disk in the data storage directory. - -``` -block_bytes_read 120586322022 -block_bytes_written 3386618077 -``` - -#### `block_read_duration`, `block_write_duration` (histograms) - -Evaluates the duration of the reading/writing of individual data blocks in the data storage directory. - -``` -block_read_duration_bucket{le="0.5"} 169229 -block_read_duration_sum 2761.6902550310056 -block_read_duration_count 169240 -block_write_duration_bucket{le="0.5"} 3559 -block_write_duration_sum 195.59170078500006 -block_write_duration_count 3571 -``` - -#### `block_delete_counter` (counter) - -Counts the number of data blocks that have been deleted from storage. - -``` -block_delete_counter 122 -``` - -#### `block_resync_counter` (counter), `block_resync_duration` (histogram) - -Counts the number of resync operations the node has executed, and evaluates their duration. - -``` -block_resync_counter 308897 -block_resync_duration_bucket{le="0.5"} 308892 -block_resync_duration_sum 139.64204196100016 -block_resync_duration_count 308897 -``` - -#### `block_resync_queue_length` (gauge) - -The number of block hashes currently queued for a resync. -This is normal to be nonzero for long periods of time. - -``` -block_resync_queue_length 0 -``` - -#### `block_resync_errored_blocks` (gauge) - -The number of block hashes that we were unable to resync last time we tried. -**THIS SHOULD BE ZERO, OR FALL BACK TO ZERO RAPIDLY, IN A HEALTHY CLUSTER.** -Persistent nonzero values indicate that some data is likely to be lost. - -``` -block_resync_errored_blocks 0 -``` - - -### Metrics related to RPCs (remote procedure calls) between nodes - -#### `rpc_netapp_request_counter` (counter) - -Number of RPC requests emitted - -``` -rpc_request_counter{from="<this node>",rpc_endpoint="garage_block/manager.rs/Rpc",to="<remote node>"} 176 -``` - -#### `rpc_netapp_error_counter` (counter) - -Number of communication errors (errors in the Netapp library, generally due to disconnected nodes) - -``` -rpc_netapp_error_counter{from="<this node>",rpc_endpoint="garage_block/manager.rs/Rpc",to="<remote node>"} 354 -``` - -#### `rpc_timeout_counter` (counter) - -Number of RPC timeouts, should be close to zero in a healthy cluster. - -``` -rpc_timeout_counter{from="<this node>",rpc_endpoint="garage_rpc/membership.rs/SystemRpc",to="<remote node>"} 1 -``` - -#### `rpc_duration` (histogram) - -The duration of internal RPC calls between Garage nodes. - -``` -rpc_duration_bucket{from="<this node>",rpc_endpoint="garage_block/manager.rs/Rpc",to="<remote node>",le="0.5"} 166 -rpc_duration_sum{from="<this node>",rpc_endpoint="garage_block/manager.rs/Rpc",to="<remote node>"} 35.172253716 -rpc_duration_count{from="<this node>",rpc_endpoint="garage_block/manager.rs/Rpc",to="<remote node>"} 174 -``` - - -### Metrics of the metadata table manager - -#### `table_gc_todo_queue_length` (gauge) - -Table garbage collector TODO queue length - -``` -table_gc_todo_queue_length{table_name="block_ref"} 0 -``` - -#### `table_get_request_counter` (counter), `table_get_request_duration` (histogram) - -Number of get/get_range requests internally made on each table, and their duration. - -``` -table_get_request_counter{table_name="bucket_alias"} 315 -table_get_request_duration_bucket{table_name="bucket_alias",le="0.5"} 315 -table_get_request_duration_sum{table_name="bucket_alias"} 0.048509778000000024 -table_get_request_duration_count{table_name="bucket_alias"} 315 -``` - - -#### `table_put_request_counter` (counter), `table_put_request_duration` (histogram) - -Number of insert/insert_many requests internally made on this table, and their duration - -``` -table_put_request_counter{table_name="block_ref"} 677 -table_put_request_duration_bucket{table_name="block_ref",le="0.5"} 677 -table_put_request_duration_sum{table_name="block_ref"} 61.617528636 -table_put_request_duration_count{table_name="block_ref"} 677 -``` - -#### `table_internal_delete_counter` (counter) - -Number of value deletions in the tree (due to GC or repartitioning) - -``` -table_internal_delete_counter{table_name="block_ref"} 2296 -``` - -#### `table_internal_update_counter` (counter) - -Number of value updates where the value actually changes (includes creation of new key and update of existing key) - -``` -table_internal_update_counter{table_name="block_ref"} 5996 -``` - -#### `table_merkle_updater_todo_queue_length` (gauge) - -Merkle tree updater TODO queue length (should fall to zero rapidly) - -``` -table_merkle_updater_todo_queue_length{table_name="block_ref"} 0 -``` - -#### `table_sync_items_received`, `table_sync_items_sent` (counters) - -Number of data items sent to/recieved from other nodes during resync procedures - -``` -table_sync_items_received{from="<remote node>",table_name="bucket_v2"} 3 -table_sync_items_sent{table_name="block_ref",to="<remote node>"} 2 -``` - - +See our [dedicated page](@/documentation/reference-manual/monitoring.md) in the Reference manual section. diff --git a/doc/book/cookbook/real-world.md b/doc/book/cookbook/real-world.md index 5423bbab..08266b23 100644 --- a/doc/book/cookbook/real-world.md +++ b/doc/book/cookbook/real-world.md @@ -19,8 +19,12 @@ To run a real-world deployment, make sure the following conditions are met: - You have at least three machines with sufficient storage space available. -- Each machine has a public IP address which is reachable by other machines. - Running behind a NAT is likely to be possible but hasn't been tested for the latest version (TODO). +- Each machine has a public IP address which is reachable by other machines. It + is highly recommended that you use IPv6 for this end-to-end connectivity. If + IPv6 is not available, then using a mesh VPN such as + [Nebula](https://github.com/slackhq/nebula) or + [Yggdrasil](https://yggdrasil-network.github.io/) are approaches to consider + in addition to building out your own VPN tunneling. - This guide will assume you are using Docker containers to deploy Garage on each node. Garage can also be run independently, for instance as a [Systemd service](@/documentation/cookbook/systemd.md). @@ -345,5 +349,5 @@ and is covered in the [quick start guide](@/documentation/quick-start/_index.md) Remember also that the CLI is self-documented thanks to the `--help` flag and the `help` subcommand (e.g. `garage help`, `garage key --help`). -Configuring S3-compatible applicatiosn to interact with Garage +Configuring S3-compatible applications to interact with Garage is covered in the [Integrations](@/documentation/connect/_index.md) section. diff --git a/doc/book/cookbook/reverse-proxy.md b/doc/book/cookbook/reverse-proxy.md index c8fde28d..9c833ad0 100644 --- a/doc/book/cookbook/reverse-proxy.md +++ b/doc/book/cookbook/reverse-proxy.md @@ -168,40 +168,65 @@ Here is [a basic configuration file](https://doc.traefik.io/traefik/https/acme/# ### Add Garage service -To add Garage on Traefik you should declare a new service using its IP address (or hostname) and port: +To add Garage on Traefik you should declare two new services using its IP +address (or hostname) and port, these are used for the S3, and web components +of Garage: ```toml [http.services] - [http.services.my_garage_service.loadBalancer] - [[http.services.my_garage_service.loadBalancer.servers]] + [http.services.garage-s3-service.loadBalancer] + [[http.services.garage-s3-service.loadBalancer.servers]] url = "http://xxx.xxx.xxx.xxx" port = 3900 + + [http.services.garage-web-service.loadBalancer] + [[http.services.garage-web-service.loadBalancer.servers]] + url = "http://xxx.xxx.xxx.xxx" + port = 3902 ``` It's possible to declare multiple Garage servers as back-ends: ```toml [http.services] - [[http.services.my_garage_service.loadBalancer.servers]] + [[http.services.garage-s3-service.loadBalancer.servers]] url = "http://xxx.xxx.xxx.xxx" port = 3900 - [[http.services.my_garage_service.loadBalancer.servers]] + [[http.services.garage-s3-service.loadBalancer.servers]] url = "http://yyy.yyy.yyy.yyy" port = 3900 - [[http.services.my_garage_service.loadBalancer.servers]] + [[http.services.garage-s3-service.loadBalancer.servers]] url = "http://zzz.zzz.zzz.zzz" port = 3900 + + [[http.services.garage-web-service.loadBalancer.servers]] + url = "http://xxx.xxx.xxx.xxx" + port = 3902 + [[http.services.garage-web-service.loadBalancer.servers]] + url = "http://yyy.yyy.yyy.yyy" + port = 3902 + [[http.services.garage-web-service.loadBalancer.servers]] + url = "http://zzz.zzz.zzz.zzz" + port = 3902 ``` Traefik can remove unhealthy servers automatically with [a health check configuration](https://doc.traefik.io/traefik/routing/services/#health-check): ``` [http.services] - [http.services.my_garage_service.loadBalancer] - [http.services.my_garage_service.loadBalancer.healthCheck] - path = "/" - interval = "60s" - timeout = "5s" + [http.services.garage-s3-service.loadBalancer] + [http.services.garage-s3-service.loadBalancer.healthCheck] + path = "/health" + port = "3903" + #interval = "15s" + #timeout = "2s" + + [http.services.garage-web-service.loadBalancer] + [http.services.garage-web-service.loadBalancer.healthCheck] + path = "/health" + port = "3903" + #interval = "15s" + #timeout = "2s" ``` ### Adding a website @@ -210,10 +235,15 @@ To add a new website, add the following declaration to your Traefik configuratio ```toml [http.routers] + [http.routers.garage-s3] + rule = "Host(`s3.example.org`)" + service = "garage-s3-service" + entryPoints = ["websecure"] + [http.routers.my_website] rule = "Host(`yoururl.example.org`)" - service = "my_garage_service" - entryPoints = ["web"] + service = "garage-web-service" + entryPoints = ["websecure"] ``` Enable HTTPS access to your website with the following configuration section ([documentation](https://doc.traefik.io/traefik/https/overview/)): @@ -226,7 +256,7 @@ Enable HTTPS access to your website with the following configuration section ([d ... ``` -### Adding gzip compression +### Adding compression Add the following configuration section [to compress response](https://doc.traefik.io/traefik/middlewares/http/compress/) using [gzip](https://developer.mozilla.org/en-US/docs/Glossary/GZip_compression) before sending them to the client: @@ -234,10 +264,10 @@ Add the following configuration section [to compress response](https://doc.traef [http.routers] [http.routers.my_website] ... - middlewares = ["gzip_compress"] + middlewares = ["compression"] ... [http.middlewares] - [http.middlewares.gzip_compress.compress] + [http.middlewares.compression.compress] ``` ### Add caching response @@ -262,27 +292,54 @@ Traefik's caching middleware is only available on [entreprise version](https://d entryPoint = "web" [http.routers] + [http.routers.garage-s3] + rule = "Host(`s3.example.org`)" + service = "garage-s3-service" + entryPoints = ["websecure"] + [http.routers.my_website] rule = "Host(`yoururl.example.org`)" - service = "my_garage_service" - middlewares = ["gzip_compress"] + service = "garage-web-service" + middlewares = ["compression"] entryPoints = ["websecure"] [http.services] - [http.services.my_garage_service.loadBalancer] - [http.services.my_garage_service.loadBalancer.healthCheck] - path = "/" - interval = "60s" - timeout = "5s" - [[http.services.my_garage_service.loadBalancer.servers]] + [http.services.garage-s3-service.loadBalancer] + [http.services.garage-s3-service.loadBalancer.healthCheck] + path = "/health" + port = "3903" + #interval = "15s" + #timeout = "2s" + + [http.services.garage-web-service.loadBalancer] + [http.services.garage-web-service.loadBalancer.healthCheck] + path = "/health" + port = "3903" + #interval = "15s" + #timeout = "2s" + + [[http.services.garage-s3-service.loadBalancer.servers]] + url = "http://xxx.xxx.xxx.xxx" + port = 3900 + [[http.services.garage-s3-service.loadBalancer.servers]] + url = "http://yyy.yyy.yyy.yyy" + port = 3900 + [[http.services.garage-s3-service.loadBalancer.servers]] + url = "http://zzz.zzz.zzz.zzz" + port = 3900 + + [[http.services.garage-web-service.loadBalancer.servers]] url = "http://xxx.xxx.xxx.xxx" - [[http.services.my_garage_service.loadBalancer.servers]] + port = 3902 + [[http.services.garage-web-service.loadBalancer.servers]] url = "http://yyy.yyy.yyy.yyy" - [[http.services.my_garage_service.loadBalancer.servers]] + port = 3902 + [[http.services.garage-web-service.loadBalancer.servers]] url = "http://zzz.zzz.zzz.zzz" + port = 3902 [http.middlewares] - [http.middlewares.gzip_compress.compress] + [http.middlewares.compression.compress] ``` ## Caddy @@ -291,18 +348,83 @@ Your Caddy configuration can be as simple as: ```caddy s3.garage.tld, *.s3.garage.tld { - reverse_proxy localhost:3900 192.168.1.2:3900 example.tld:3900 + reverse_proxy localhost:3900 192.168.1.2:3900 example.tld:3900 { + health_uri /health + health_port 3903 + #health_interval 15s + #health_timeout 5s + } } *.web.garage.tld { - reverse_proxy localhost:3902 192.168.1.2:3900 example.tld:3900 + reverse_proxy localhost:3902 192.168.1.2:3902 example.tld:3902 { + health_uri /health + health_port 3903 + #health_interval 15s + #health_timeout 5s + } } admin.garage.tld { - reverse_proxy localhost:3903 + reverse_proxy localhost:3903 { + health_uri /health + health_port 3903 + #health_interval 15s + #health_timeout 5s + } } ``` But at the same time, the `reverse_proxy` is very flexible. For a production deployment, you should [read its documentation](https://caddyserver.com/docs/caddyfile/directives/reverse_proxy) as it supports features like DNS discovery of upstreams, load balancing with checks, streaming parameters, etc. +### On-demand TLS + +Caddy supports a technique called +[on-demand TLS](https://caddyserver.com/docs/automatic-https#on-demand-tls), by +which one can configure the webserver to provision TLS certificates when a +client first connects to it. + +In order to prevent an attack vector whereby domains are simply pointed at your +webserver and certificates are requested for them - Caddy can be configured to +ask Garage if a domain is authorized for web hosting, before it then requests +a TLS certificate. + +This 'check' endpoint, which is on the admin port (3903 by default), can be +configured in Caddy's global section as follows: + +```caddy +{ + ... + on_demand_tls { + ask http://localhost:3903/check + interval 2m + burst 5 + } + ... +} +``` + +The host section can then be configured with (note that this uses the web +endpoint instead): + +```caddy +# For a specific set of subdomains +*.web.garage.tld { + tls { + on_demand + } + + reverse_proxy localhost:3902 192.168.1.2:3902 example.tld:3902 +} + +# Accept all domains on HTTPS +# Never configure this without global section above +https:// { + tls { + on_demand + } + + reverse_proxy localhost:3902 192.168.1.2:3902 example.tld:3902 +} +``` diff --git a/doc/book/cookbook/upgrading.md b/doc/book/cookbook/upgrading.md index 9f2ba73b..9d60a988 100644 --- a/doc/book/cookbook/upgrading.md +++ b/doc/book/cookbook/upgrading.md @@ -6,45 +6,80 @@ weight = 60 Garage is a stateful clustered application, where all nodes are communicating together and share data structures. It makes upgrade more difficult than stateless applications so you must be more careful when upgrading. On a new version release, there is 2 possibilities: - - protocols and data structures remained the same ➡️ this is a **straightforward upgrade** - - protocols or data structures changed ➡️ this is an **advanced upgrade** + - protocols and data structures remained the same ➡️ this is a **minor 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. -Following the [SemVer ](https://semver.org/) terminology, if only the *patch* number changed, it will only need a straightforward upgrade. -Example: an upgrade from v0.6.0 from v0.6.1 is a straightforward upgrade. -If the *minor* or *major* number changed however, you will have to do an advanced upgrade. Example: from v0.6.1 to v0.7.0. +You can quickly now 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 +(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). -Migrations are designed to be run only between contiguous versions (from a *major*.*minor* perspective, *patches* can be skipped). -Example: migrations from v0.6.1 to v0.7.0 and from v0.6.0 to v0.7.0 are supported but migrations from v0.5.0 to v0.7.0 are not supported. +Major upgrades are designed to be run only between contiguous versions. +Example: migrations from v0.7.1 to v0.8.0 and from v0.7.0 to v0.8.2 are supported but migrations from v0.6.0 to v0.8.0 are not supported. -## Straightforward upgrades +The `garage_build_info` +[Prometheus metric](@/documentation/reference-manual/monitoring.md) provides +an overview for which Garage versions are currently in use within a cluster. -Straightforward upgrades do not imply cluster downtime. +## Minor upgrades + +Minor upgrades do not imply cluster downtime. Before upgrading, you should still read [the changelog](https://git.deuxfleurs.fr/Deuxfleurs/garage/releases) and ideally test your deployment on a staging cluster before. When you are ready, start by checking the health of your cluster. -You can force some checks with `garage repair`, we recommend at least running `garage repair --all-nodes --yes` that is very quick to run (less than a minute). -You will see that the command correctly terminated in the logs of your daemon. +You can force some checks with `garage repair`, we recommend at least running `garage repair --all-nodes --yes tables` which is very quick to run (less than a minute). +You will see that the command correctly terminated in the logs of your daemon, or using `garage worker list` (the repair workers should be in the `Done` state). -Finally, you can simply upgrades nodes one by one. -For each node: stop it, install the new binary, edit the configuration if needed, restart it. +Finally, you can simply upgrade nodes one by one. +For each node: stop it, install the new binary, edit the configuration if needed, restart it. -## Advanced upgrades +## Major upgrades -Advanced upgrades will imply cluster downtime. +Major upgrades can be done with minimal downtime with a bit of preparation, but the simplest way is usually to put the cluster offline for the duration of the migration. Before upgrading, you must read [the changelog](https://git.deuxfleurs.fr/Deuxfleurs/garage/releases) and you must test your deployment on a staging cluster before. -From a high level perspective, an advanced upgrade looks like this: - 1. Make sure the health of your cluster is good (see `garage repair`) - 2. Disable API access (comment the configuration in your reverse proxy) - 3. Check that your cluster is idle +We write guides for each major upgrade, they are stored under the "Working Documents" section of this documentation. + +### Major upgrades with full downtime + +From a high level perspective, a major upgrade looks like this: + + 1. Disable API access (for instance in your reverse proxy, or by commenting the corresponding section in your Garage configuration file and restarting Garage) + 2. Check that your cluster is idle + 3. Make sure the health of your cluster is good (see `garage repair`) 4. Stop the whole cluster - 5. Backup the metadata folder of all your nodes, so that you will be able to restore it quickly if the upgrade fails (blocks being immutable, they should not be impacted) + 5. Back up the metadata folder of all your nodes, so that you will be able to restore it if the upgrade fails (data blocks being immutable, they should not be impacted) 6. Install the new binary, update the configuration 7. Start the whole cluster 8. If needed, run the corresponding migration from `garage migrate` 9. Make sure the health of your cluster is good - 10. Enable API access (uncomment the configuration in your reverse proxy) + 10. Enable API access (reverse step 1) 11. Monitor your cluster while load comes back, check that all your applications are happy with this new version -We write guides for each advanced upgrade, they are stored under the "Working Documents" section of this documentation. +### Major upgarades with minimal downtime + +There is only one operation that has to be coordinated cluster-wide: the passage of one version of the internal RPC protocol to the next. +This means that an upgrade with very limited downtime can simply be performed from one major version to the next by restarting all nodes +simultaneously in the new version. +The downtime will simply be the time required for all nodes to stop and start again, which should be less than a minute. +If all nodes fail to stop and restart simultaneously, some nodes might be temporarily shut out from the cluster as nodes using different RPC protocol +versions are prevented to talk to one another. + +The entire procedure would look something like this: + +1. Make sure the health of your cluster is good (see `garage repair`) + +2. Take each node offline individually to back up its metadata folder, bring them back online once the backup is done. + 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. + +3. Prepare your binaries and configuration files for the new Garage version + +4. Restart all nodes simultaneously in the new version + +5. If any specific migration procedure is required, it is usually in one of the two cases: + + - It can be run on online nodes after the new version has started, during regular cluster operation. + - it has to be run offline + + For this last step, please refer to the specific documentation pertaining to the version upgrade you are doing. diff --git a/doc/book/design/_index.md b/doc/book/design/_index.md index a3a6ac11..50933139 100644 --- a/doc/book/design/_index.md +++ b/doc/book/design/_index.md @@ -20,12 +20,16 @@ and could not do, etc. We love to talk and hear about Garage, that's why we keep a log here: - - [(fr, 2021-11-13, video) Garage : Mille et une façons de stocker vos données](https://video.tedomum.net/w/moYKcv198dyMrT8hCS5jz9) and [slides (html)](https://rfid.deuxfleurs.fr/presentations/2021-11-13/garage/) - during [RFID#1](https://rfid.deuxfleurs.fr/programme/2021-11-13/) event + - [(en, 2023-01-18) Presentation of Garage with some details on CRDTs and data partitioning among nodes](https://git.deuxfleurs.fr/Deuxfleurs/garage/src/commit/4cff37397f626ef063dad29e5b5e97ab1206015d/doc/talks/2023-01-18-tocatta/talk.pdf) + + - [(fr, 2022-11-19) De l'auto-hébergement à l'entre-hébergement : Garage, pour conserver ses données ensemble](https://git.deuxfleurs.fr/Deuxfleurs/garage/src/commit/4cff37397f626ef063dad29e5b5e97ab1206015d/doc/talks/2022-11-19-Capitole-du-Libre/pr%C3%A9sentation.pdf) - - [(en, 2021-04-28) Distributed object storage is centralised](https://git.deuxfleurs.fr/Deuxfleurs/garage/raw/commit/b1f60579a13d3c5eba7f74b1775c84639ea9b51a/doc/talks/2021-04-28_spirals-team/talk.pdf) + - [(en, 2022-06-23) General presentation of Garage](https://git.deuxfleurs.fr/Deuxfleurs/garage/src/commit/4cff37397f626ef063dad29e5b5e97ab1206015d/doc/talks/2022-06-23-stack/talk.pdf) + + - [(fr, 2021-11-13, video) Garage : Mille et une façons de stocker vos données](https://video.tedomum.net/w/moYKcv198dyMrT8hCS5jz9) and [slides (html)](https://rfid.deuxfleurs.fr/presentations/2021-11-13/garage/) - during [RFID#1](https://rfid.deuxfleurs.fr/programme/2021-11-13/) event - - [(fr, 2020-12-02) Garage : jouer dans la cour des grands quand on est un hébergeur associatif](https://git.deuxfleurs.fr/Deuxfleurs/garage/raw/commit/b1f60579a13d3c5eba7f74b1775c84639ea9b51a/doc/talks/2020-12-02_wide-team/talk.pdf) + - [(en, 2021-04-28) Distributed object storage is centralised](https://git.deuxfleurs.fr/Deuxfleurs/garage/src/commit/b1f60579a13d3c5eba7f74b1775c84639ea9b51a/doc/talks/2021-04-28_spirals-team/talk.pdf) -*Did you write or talk about Garage? [Open a pull request](https://git.deuxfleurs.fr/Deuxfleurs/garage/) to add a link here!* + - [(fr, 2020-12-02) Garage : jouer dans la cour des grands quand on est un hébergeur associatif](https://git.deuxfleurs.fr/Deuxfleurs/garage/src/commit/b1f60579a13d3c5eba7f74b1775c84639ea9b51a/doc/talks/2020-12-02_wide-team/talk.pdf) diff --git a/doc/book/design/related-work.md b/doc/book/design/related-work.md index f96c6618..6c1a6b12 100644 --- a/doc/book/design/related-work.md +++ b/doc/book/design/related-work.md @@ -72,8 +72,7 @@ We considered there v2's design but concluded that it does not fit both our *Sel **[Riak CS](https://docs.riak.com/riak/cs/2.1.1/index.html):** *Not written yet* -**[IPFS](https://ipfs.io/):** -*Not written yet* +**[IPFS](https://ipfs.io/):** IPFS has design goals radically different from Garage, we have [a blog post](@/blog/2022-ipfs/index.md) talking about it. ## Specific research papers diff --git a/doc/book/development/devenv.md b/doc/book/development/devenv.md index c2ef4e7d..8d7d2e95 100644 --- a/doc/book/development/devenv.md +++ b/doc/book/development/devenv.md @@ -39,7 +39,7 @@ Now you can enter our nix-shell, all the required packages will be downloaded bu nix-shell ``` -You can use the traditionnal Rust development workflow: +You can use the traditional Rust development workflow: ```bash cargo build # compile the project diff --git a/doc/book/development/release-process.md b/doc/book/development/release-process.md index f6db971a..3fed4add 100644 --- a/doc/book/development/release-process.md +++ b/doc/book/development/release-process.md @@ -11,7 +11,7 @@ We define them as our release process. While we run some tests on every commits, we do not make a release for all of them. A release can be triggered manually by "promoting" a successful build. -Otherwise, every weeks, a release build is triggered on the `main` branch. +Otherwise, every night, a release build is triggered on the `main` branch. If the build is from a tag following the regex: `v[0-9]+\.[0-9]+\.[0-9]+`, it will be listed as stable. If it is a tag but with a different format, it will be listed as Extra. diff --git a/doc/book/quick-start/_index.md b/doc/book/quick-start/_index.md index ab83b75a..feab45f0 100644 --- a/doc/book/quick-start/_index.md +++ b/doc/book/quick-start/_index.md @@ -290,13 +290,13 @@ sourcing the right file.* aws s3 ls # list objects of a bucket -aws s3 ls s3://my_files +aws s3 ls s3://nextcloud-bucket # copy from your filesystem to garage -aws s3 cp /proc/cpuinfo s3://my_files/cpuinfo.txt +aws s3 cp /proc/cpuinfo s3://nextcloud-bucket/cpuinfo.txt # copy from garage to your filesystem -aws s3 cp s3/my_files/cpuinfo.txt /tmp/cpuinfo.txt +aws s3 cp s3://nextcloud-bucket/cpuinfo.txt /tmp/cpuinfo.txt ``` Note that you can use `awscli` for more advanced operations like diff --git a/doc/book/reference-manual/admin-api.md b/doc/book/reference-manual/admin-api.md index 0b7e2e16..363bc886 100644 --- a/doc/book/reference-manual/admin-api.md +++ b/doc/book/reference-manual/admin-api.md @@ -1,6 +1,6 @@ +++ title = "Administration API" -weight = 60 +weight = 40 +++ The Garage administration API is accessible through a dedicated server whose diff --git a/doc/book/reference-manual/configuration.md b/doc/book/reference-manual/configuration.md index 2d9c3f0c..38062bab 100644 --- a/doc/book/reference-manual/configuration.md +++ b/doc/book/reference-manual/configuration.md @@ -3,6 +3,8 @@ title = "Configuration file format" weight = 20 +++ +## Full example + Here is an example `garage.toml` configuration file that illustrates all of the possible options: ```toml @@ -96,7 +98,7 @@ Performance characteristics of the different DB engines are as follows: - Sled: the default database engine, which tends to produce large data files and also has performance issues, especially when the metadata folder - is on a traditionnal HDD and not on SSD. + is on a traditional HDD and not on SSD. - LMDB: the recommended alternative on 64-bit systems, much more space-efficiant and slightly faster. Note that the data format of LMDB is not portable between architectures, so for instance the Garage database of an x86-64 @@ -259,13 +261,17 @@ Compression is done synchronously, setting a value too high will add latency to This value can be different between nodes, compression is done by the node which receive the API call. -### `rpc_secret` +### `rpc_secret`, `rpc_secret_file` or `GARAGE_RPC_SECRET` (env) + +Garage uses a secret key, called an RPC secret, that is shared between all +nodes of the cluster in order to identify these nodes and allow them to +communicate together. The RPC secret is a 32-byte hex-encoded random string, +which can be generated with a command such as `openssl rand -hex 32`. -Garage uses a secret key that is shared between all nodes of the cluster -in order to identify these nodes and allow them to communicate together. -This key should be specified here in the form of a 32-byte hex-encoded -random string. Such a string can be generated with a command -such as `openssl rand -hex 32`. +The RPC secret should be specified in the `rpc_secret` configuration variable. +Since Garage `v0.8.2`, the RPC secret can also be stored in a file whose path is +given in the configuration variable `rpc_secret_file`, or specified as an +environment variable `GARAGE_RPC_SECRET`. ### `rpc_bind_addr` @@ -407,24 +413,30 @@ If specified, Garage will bind an HTTP server to this port and address, on which it will listen to requests for administration features. See [administration API reference](@/documentation/reference-manual/admin-api.md) to learn more about these features. -### `metrics_token` (since version 0.7.2) +### `metrics_token`, `metrics_token_file` or `GARAGE_METRICS_TOKEN` (env) -The token for accessing the Metrics endpoint. If this token is not set in -the config file, the Metrics endpoint can be accessed without access -control. +The token for accessing the Metrics endpoint. If this token is not set, the +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`. -### `admin_token` (since version 0.7.2) +`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`. + + +### `admin_token`, `admin_token_file` or `GARAGE_ADMIN_TOKEN` (env) The token for accessing all of the other administration endpoints. If this -token is not set in the config file, 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`. +`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`. + + ### `trace_sink` -Optionnally, the address of an Opentelemetry collector. If specified, -Garage will send traces in the Opentelemetry format to this endpoint. These +Optionally, the address of an OpenTelemetry collector. If specified, +Garage will send traces in the OpenTelemetry format to this endpoint. These trace allow to inspect Garage's operation when it handles S3 API requests. diff --git a/doc/book/reference-manual/k2v.md b/doc/book/reference-manual/k2v.md index 207d056a..ed069b27 100644 --- a/doc/book/reference-manual/k2v.md +++ b/doc/book/reference-manual/k2v.md @@ -1,6 +1,6 @@ +++ title = "K2V" -weight = 70 +weight = 100 +++ Starting with version 0.7.2, Garage introduces an optionnal feature, K2V, @@ -16,7 +16,7 @@ the `k2v` feature flag enabled can be obtained from our download page under with `-k2v` (example: `v0.7.2-k2v`). The specification of the K2V API can be found -[here](https://git.deuxfleurs.fr/Deuxfleurs/garage/src/branch/k2v/doc/drafts/k2v-spec.md). +[here](https://git.deuxfleurs.fr/Deuxfleurs/garage/src/branch/main/doc/drafts/k2v-spec.md). This document also includes a high-level overview of K2V's design. The K2V API uses AWSv4 signatures for authentification, same as the S3 API. diff --git a/doc/book/reference-manual/monitoring.md b/doc/book/reference-manual/monitoring.md new file mode 100644 index 00000000..97c533d3 --- /dev/null +++ b/doc/book/reference-manual/monitoring.md @@ -0,0 +1,285 @@ + ++++ +title = "Monitoring" +weight = 60 ++++ + + +For information on setting up monitoring, see our [dedicated page](@/documentation/cookbook/monitoring.md) in the Cookbook section. + +## List of exported metrics + +### Garage system metrics + +#### `garage_build_info` (counter) + +Exposes the Garage version number running on a node. + +``` +garage_build_info{version="1.0"} 1 +``` + +#### `garage_replication_factor` (counter) + +Exposes the Garage replication factor configured on the node + +``` +garage_replication_factor 3 +``` + +### Metrics of the API endpoints + +#### `api_admin_request_counter` (counter) + +Counts the number of requests to a given endpoint of the administration API. Example: + +``` +api_admin_request_counter{api_endpoint="Metrics"} 127041 +``` + +#### `api_admin_request_duration` (histogram) + +Evaluates the duration of API calls to the various administration API endpoint. Example: + +``` +api_admin_request_duration_bucket{api_endpoint="Metrics",le="0.5"} 127041 +api_admin_request_duration_sum{api_endpoint="Metrics"} 605.250344830999 +api_admin_request_duration_count{api_endpoint="Metrics"} 127041 +``` + +#### `api_s3_request_counter` (counter) + +Counts the number of requests to a given endpoint of the S3 API. Example: + +``` +api_s3_request_counter{api_endpoint="CreateMultipartUpload"} 1 +``` + +#### `api_s3_error_counter` (counter) + +Counts the number of requests to a given endpoint of the S3 API that returned an error. Example: + +``` +api_s3_error_counter{api_endpoint="GetObject",status_code="404"} 39 +``` + +#### `api_s3_request_duration` (histogram) + +Evaluates the duration of API calls to the various S3 API endpoints. Example: + +``` +api_s3_request_duration_bucket{api_endpoint="CreateMultipartUpload",le="0.5"} 1 +api_s3_request_duration_sum{api_endpoint="CreateMultipartUpload"} 0.046340762 +api_s3_request_duration_count{api_endpoint="CreateMultipartUpload"} 1 +``` + +#### `api_k2v_request_counter` (counter), `api_k2v_error_counter` (counter), `api_k2v_error_duration` (histogram) + +Same as for S3, for the K2V API. + + +### Metrics of the Web endpoint + + +#### `web_request_counter` (counter) + +Number of requests to the web endpoint + +``` +web_request_counter{method="GET"} 80 +``` + +#### `web_request_duration` (histogram) + +Duration of requests to the web endpoint + +``` +web_request_duration_bucket{method="GET",le="0.5"} 80 +web_request_duration_sum{method="GET"} 1.0528433229999998 +web_request_duration_count{method="GET"} 80 +``` + +#### `web_error_counter` (counter) + +Number of requests to the web endpoint resulting in errors + +``` +web_error_counter{method="GET",status_code="404 Not Found"} 64 +``` + + +### Metrics of the data block manager + +#### `block_bytes_read`, `block_bytes_written` (counter) + +Number of bytes read/written to/from disk in the data storage directory. + +``` +block_bytes_read 120586322022 +block_bytes_written 3386618077 +``` + +#### `block_compression_level` (counter) + +Exposes the block compression level configured for the Garage node. + +``` +block_compression_level 3 +``` + +#### `block_read_duration`, `block_write_duration` (histograms) + +Evaluates the duration of the reading/writing of individual data blocks in the data storage directory. + +``` +block_read_duration_bucket{le="0.5"} 169229 +block_read_duration_sum 2761.6902550310056 +block_read_duration_count 169240 +block_write_duration_bucket{le="0.5"} 3559 +block_write_duration_sum 195.59170078500006 +block_write_duration_count 3571 +``` + +#### `block_delete_counter` (counter) + +Counts the number of data blocks that have been deleted from storage. + +``` +block_delete_counter 122 +``` + +#### `block_resync_counter` (counter), `block_resync_duration` (histogram) + +Counts the number of resync operations the node has executed, and evaluates their duration. + +``` +block_resync_counter 308897 +block_resync_duration_bucket{le="0.5"} 308892 +block_resync_duration_sum 139.64204196100016 +block_resync_duration_count 308897 +``` + +#### `block_resync_queue_length` (gauge) + +The number of block hashes currently queued for a resync. +This is normal to be nonzero for long periods of time. + +``` +block_resync_queue_length 0 +``` + +#### `block_resync_errored_blocks` (gauge) + +The number of block hashes that we were unable to resync last time we tried. +**THIS SHOULD BE ZERO, OR FALL BACK TO ZERO RAPIDLY, IN A HEALTHY CLUSTER.** +Persistent nonzero values indicate that some data is likely to be lost. + +``` +block_resync_errored_blocks 0 +``` + + +### Metrics related to RPCs (remote procedure calls) between nodes + +#### `rpc_netapp_request_counter` (counter) + +Number of RPC requests emitted + +``` +rpc_request_counter{from="<this node>",rpc_endpoint="garage_block/manager.rs/Rpc",to="<remote node>"} 176 +``` + +#### `rpc_netapp_error_counter` (counter) + +Number of communication errors (errors in the Netapp library, generally due to disconnected nodes) + +``` +rpc_netapp_error_counter{from="<this node>",rpc_endpoint="garage_block/manager.rs/Rpc",to="<remote node>"} 354 +``` + +#### `rpc_timeout_counter` (counter) + +Number of RPC timeouts, should be close to zero in a healthy cluster. + +``` +rpc_timeout_counter{from="<this node>",rpc_endpoint="garage_rpc/membership.rs/SystemRpc",to="<remote node>"} 1 +``` + +#### `rpc_duration` (histogram) + +The duration of internal RPC calls between Garage nodes. + +``` +rpc_duration_bucket{from="<this node>",rpc_endpoint="garage_block/manager.rs/Rpc",to="<remote node>",le="0.5"} 166 +rpc_duration_sum{from="<this node>",rpc_endpoint="garage_block/manager.rs/Rpc",to="<remote node>"} 35.172253716 +rpc_duration_count{from="<this node>",rpc_endpoint="garage_block/manager.rs/Rpc",to="<remote node>"} 174 +``` + + +### Metrics of the metadata table manager + +#### `table_gc_todo_queue_length` (gauge) + +Table garbage collector TODO queue length + +``` +table_gc_todo_queue_length{table_name="block_ref"} 0 +``` + +#### `table_get_request_counter` (counter), `table_get_request_duration` (histogram) + +Number of get/get_range requests internally made on each table, and their duration. + +``` +table_get_request_counter{table_name="bucket_alias"} 315 +table_get_request_duration_bucket{table_name="bucket_alias",le="0.5"} 315 +table_get_request_duration_sum{table_name="bucket_alias"} 0.048509778000000024 +table_get_request_duration_count{table_name="bucket_alias"} 315 +``` + + +#### `table_put_request_counter` (counter), `table_put_request_duration` (histogram) + +Number of insert/insert_many requests internally made on this table, and their duration + +``` +table_put_request_counter{table_name="block_ref"} 677 +table_put_request_duration_bucket{table_name="block_ref",le="0.5"} 677 +table_put_request_duration_sum{table_name="block_ref"} 61.617528636 +table_put_request_duration_count{table_name="block_ref"} 677 +``` + +#### `table_internal_delete_counter` (counter) + +Number of value deletions in the tree (due to GC or repartitioning) + +``` +table_internal_delete_counter{table_name="block_ref"} 2296 +``` + +#### `table_internal_update_counter` (counter) + +Number of value updates where the value actually changes (includes creation of new key and update of existing key) + +``` +table_internal_update_counter{table_name="block_ref"} 5996 +``` + +#### `table_merkle_updater_todo_queue_length` (gauge) + +Merkle tree updater TODO queue length (should fall to zero rapidly) + +``` +table_merkle_updater_todo_queue_length{table_name="block_ref"} 0 +``` + +#### `table_sync_items_received`, `table_sync_items_sent` (counters) + +Number of data items sent to/recieved from other nodes during resync procedures + +``` +table_sync_items_received{from="<remote node>",table_name="bucket_v2"} 3 +table_sync_items_sent{table_name="block_ref",to="<remote node>"} 2 +``` + + diff --git a/doc/book/reference-manual/s3-compatibility.md b/doc/book/reference-manual/s3-compatibility.md index dd3492a0..15b29bd1 100644 --- a/doc/book/reference-manual/s3-compatibility.md +++ b/doc/book/reference-manual/s3-compatibility.md @@ -1,6 +1,6 @@ +++ title = "S3 Compatibility status" -weight = 40 +weight = 70 +++ ## DISCLAIMER diff --git a/doc/book/working-documents/migration-08.md b/doc/book/working-documents/migration-08.md index 5f97c45b..b7c4c783 100644 --- a/doc/book/working-documents/migration-08.md +++ b/doc/book/working-documents/migration-08.md @@ -12,13 +12,15 @@ back up all your data before attempting it!** Garage v0.8 introduces new data tables that allow the counting of objects in buckets in order to implement bucket quotas. A manual migration step is required to first count objects in Garage buckets and populate these tables with accurate data. +## Simple migration procedure (takes cluster offline for a while) + The migration steps are as follows: 1. Disable API and web access. Garage v0.7 does not support disabling these endpoints but you can change the port number or stop your reverse proxy for instance. 2. Do `garage repair --all-nodes --yes tables` and `garage repair --all-nodes --yes blocks`, check the logs and check that all data seems to be synced correctly between - nodes. If you have time, do additional checks (`scrub`, `block_refs`, etc.) + nodes. If you have time, do additional checks (`versions`, `block_refs`, etc.) 3. Check that queues are empty: run `garage stats` to query them or inspect metrics in the Grafana dashboard. 4. Turn off Garage v0.7 5. **Backup the metadata folder of all your nodes!** For instance, use the following command @@ -32,3 +34,24 @@ The migration steps are as follows: 10. Your upgraded cluster should be in a working state. Re-enable API and Web access and check that everything went well. 11. Monitor your cluster in the next hours to see if it works well under your production load, report any issue. + +## Minimal downtime migration procedure + +The migration to Garage v0.8 can be done with almost no downtime, +by restarting all nodes at once in the new version. The only limitation with this +method is that bucket sizes and item counts will not be estimated correctly +until all nodes have had a chance to run their offline migration procedure. + +The migration steps are as follows: + +1. Do `garage repair --all-nodes --yes tables` and `garage repair --all-nodes --yes blocks`, + check the logs and check that all data seems to be synced correctly between + nodes. If you have time, do additional checks (`versions`, `block_refs`, etc.) + +2. Turn off each node individually; back up its metadata folder (see above); 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 binaries and configuration files for Garage v0.8 + +4. Shut down all v0.7 nodes simultaneously, and restart them all simultaneously in v0.8. Use your favorite deployment tool (Ansible, Kubernetes, Nomad) to achieve this as fast as possible. + +5. At this point, Garage will indicate invalid values for the size and number of objects in each bucket (most likely, it will indicate zero). To fix this, take each node offline individually to do the offline migration step: `garage offline-repair --yes object_counters`. Again you can do all nodes of a single zone at once. diff --git a/doc/drafts/k2v-spec.md b/doc/drafts/k2v-spec.md index 9d41b2c0..faa1a247 100644 --- a/doc/drafts/k2v-spec.md +++ b/doc/drafts/k2v-spec.md @@ -706,6 +706,73 @@ HTTP/1.1 200 OK ] ``` +**PollRange: `POST /<bucket>/<partition key>?poll_range`**, or alternatively<br/> +**PollRange: `SEARCH /<bucket>/<partition key>?poll_range`** + +Polls a range of items for changes. + +The query body is a JSON object consisting of the following fields: + +| name | default value | meaning | +|-----------------|---------------|----------------------------------------------------------------------------------------| +| `prefix` | `null` | Restrict items to poll to those whose sort keys start with this prefix | +| `start` | `null` | The sort key of the first item to poll | +| `end` | `null` | The sort key of the last item to poll (excluded) | +| `timeout` | 300 | The timeout before 304 NOT MODIFIED is returned if no value in the range is updated | +| `seenMarker` | `null` | An opaque string returned by a previous PollRange call, that represents items already seen | + +The timeout can be set to any number of seconds, with a maximum of 600 seconds (10 minutes). + +The response is either: + +- A HTTP 304 NOT MODIFIED response with an empty body, if the timeout expired and no changes occurred + +- A HTTP 200 response, indicating that some changes have occurred since the last PollRange call, in which case a JSON object is returned in the body with the following fields: + +| name | meaning | +|-----------------|----------------------------------------------------------------------------------------| +| `seenMarker` | An opaque string that represents items already seen for future PollRange calls | +| `items` | The list of items that have changed since last PollRange call, in the same format as ReadBatch | + +If no seen marker is known by the caller, it can do a PollRange call +without specifying `seenMarker`. In this case, the PollRange call will +complete immediately, and return the current content of the range (which +can be empty) and a seen marker to be used in further PollRange calls. This +is the only case in which PollRange might return an HTTP 200 with an empty +set of items. + +A seen marker returned as a response to a PollRange query can be used for further PollRange +queries on the same range, or for PollRange queries in a subrange of the initial range. +It may not be used for PollRange queries on ranges larger or outside of the initial range. + +Example query: + +```json +SEARCH /my_bucket?poll_range HTTP/1.1 + +{ + "prefix": "0391.", + "start": "0391.000001973107", + "seenMarker": "opaquestring123", +} +``` + + +Example response: + +```json +HTTP/1.1 200 OK +Content-Type: application/json + +{ + "seenMarker": "opaquestring456", + "items": [ + { sk: "0391.000001973221", ct: "opaquetoken123", v: ["b64cryptoblob123", "b64cryptoblob'123"] }, + { sk: "0391.000001974191", ct: "opaquetoken456", v: ["b64cryptoblob456", "b64cryptoblob'456"] }, + ] +} +``` + ## Internals: causality tokens diff --git a/doc/logo/garage_hires_crop.png b/doc/logo/garage_hires_crop.png 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Garage est destiné +principalement à l'auto-hébergement sur du matériel courant d'occasion. À ce +titre, il doit tolérer un grand nombre de pannes: coupures de courant, coupures +de connexion Internet, pannes de machines, ... Il doit également être facile à +déployer et à maintenir, afin de pouvoir être facilement utilisé par des +amateurs ou des petites organisations. + +Cette présentation vous proposera un aperçu de Garage et du choix technique +principal qui rend un système comme Garage possible: le refus d'utiliser des +algorithmes de consensus, remplacés avantageusement par des méthodes à +cohérence faible. Notre modèle est fortement inspiré de la base de donnée +Dynamo (DeCandia et al, 2007), et fait usage des types de données CRDT (Shapiro +et al, 2011). Nous exploreront comment ces méthodes s'appliquent à la +construction de l'abstraction "stockage objet" dans un système distribué, et +quelles autres abstractions peuvent ou ne peuvent pas être construites dans ce +modèle. + +### (en) Garage, a lightweight and robust geo-distributed data storage system + +Garage is a lightweight geo-distributed data store that implements the Amazon +S3 object storage protocol. Garage is meant primarily for self-hosting at home +on second-hand commodity hardware, meaning it has to tolerate a wide variety of +failure scenarios such as power cuts, Internet disconnections and machine +crashes. It also has to be easy to deploy and maintain, so that hobbyists and +small organizations can use it without trouble. + +This talk will present Garage and the key technical choice that made Garage +possible: refusing to use consensus algorithms and using instead weak +consistency methods, with a model that is loosely based on that of the Dynamo +database (DeCandia et al, 2007) and that makes heavy use of conflict-free +replicated data types (Shapiro et al, 2011). We will explore how these methods +are suited to building the "object store" abstraction in a distributed system, +and what other abstractions are possible or impossible to build in this model. + + + diff --git a/doc/talks/2023-01-18-tocatta/assets/AGPLv3_Logo.png b/doc/talks/2023-01-18-tocatta/assets/AGPLv3_Logo.png Binary files differnew file mode 100644 index 00000000..445284a3 --- /dev/null +++ b/doc/talks/2023-01-18-tocatta/assets/AGPLv3_Logo.png diff --git a/doc/talks/2023-01-18-tocatta/assets/aerogramme.png b/doc/talks/2023-01-18-tocatta/assets/aerogramme.png Binary files differnew file mode 100644 index 00000000..3aabe3ad --- /dev/null +++ b/doc/talks/2023-01-18-tocatta/assets/aerogramme.png diff --git a/doc/talks/2023-01-18-tocatta/assets/aerogramme.svg b/doc/talks/2023-01-18-tocatta/assets/aerogramme.svg new file mode 100644 index 00000000..0c1ee127 --- /dev/null +++ b/doc/talks/2023-01-18-tocatta/assets/aerogramme.svg @@ -0,0 +1,1241 @@ +<?xml version="1.0" encoding="UTF-8" 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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> diff --git 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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> diff --git a/doc/talks/2023-01-18-tocatta/assets/lattice8.svg b/doc/talks/2023-01-18-tocatta/assets/lattice8.svg new file mode 100644 index 00000000..c94a69b2 --- /dev/null +++ b/doc/talks/2023-01-18-tocatta/assets/lattice8.svg @@ -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 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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> diff --git a/doc/talks/2023-01-18-tocatta/assets/latticeB_1.svg b/doc/talks/2023-01-18-tocatta/assets/latticeB_1.svg new file mode 100644 index 00000000..92232a1b --- /dev/null +++ b/doc/talks/2023-01-18-tocatta/assets/latticeB_1.svg @@ -0,0 +1,576 @@ +<?xml version="1.0" encoding="UTF-8" standalone="no"?> +<!-- Created with Inkscape (http://www.inkscape.org/) --> + +<svg + width="1000" + height="600" + viewBox="0 0 264.58333 158.75" + version="1.1" + id="svg5" + inkscape:version="1.2.2 (b0a8486541, 2022-12-01)" + sodipodi:docname="latticeB_1.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"> + 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style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;fill:#000000;stroke-width:0.264583" + x="164.56372" + y="13.151893" + id="text1005"><tspan + sodipodi:role="line" + id="tspan1003" + style="fill:#000000;stroke-width:0.264583" + 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;fill:#000000;stroke-width:0.264583" + x="49.27084" + y="67.008698" + id="text1009"><tspan + sodipodi:role="line" + id="tspan1007" + style="fill:#000000;stroke-width:0.264583" + 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;fill:#000000;stroke-width:0.264583" + x="112.90984" + y="67.017166" + id="text1009-3"><tspan + sodipodi:role="line" + id="tspan1007-6" + style="fill:#000000;stroke-width:0.264583" + 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;fill:#000000;stroke-width:0.264583" + x="176.20593" + y="67.008698" + id="text1009-7"><tspan + sodipodi:role="line" + id="tspan1007-5" + style="fill:#000000;stroke-width:0.264583" + 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;fill:#000000;stroke-width:0.264583" + x="112.90984" + y="40.841526" + id="text1117"><tspan + sodipodi:role="line" + id="tspan1115" + style="fill:#000000;stroke-width:0.264583" + 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;fill:#000000;stroke-width:0.264583" + x="49.27084" + y="40.841526" + id="text1117-3"><tspan + sodipodi:role="line" + id="tspan1115-5" + style="fill:#000000;stroke-width:0.264583" + 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;fill:#000000;stroke-width:0.264583" + x="176.20593" + y="40.841526" + id="text1117-6"><tspan + sodipodi:role="line" + id="tspan1115-2" + style="fill:#000000;stroke-width:0.264583" + 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="176.97627" + cy="68.155472" + 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;fill:#000000;stroke-width:0.264583" + x="6.9525447" + y="13.702217" + id="text3707"><tspan + sodipodi:role="line" + id="tspan3705" + style="fill:#000000;stroke-width:0.264583" + 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> + <circle + style="fill:#ff0000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000" + id="path3663-1-4" + cx="18.004833" + cy="90.979645" + r="2.7302806" /> + <circle + style="fill:#008000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000" + id="path3663-3-0-5" + cx="18.004833" + cy="81.949104" + r="2.7302806" /> + <circle + style="fill:#800080;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000" + id="path3663-6-6-2" + cx="18.004833" + cy="72.918564" + 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="6.9525447" + y="65.279381" + id="text3707-5"><tspan + sodipodi:role="line" + id="tspan3705-4" + style="fill:#000000;stroke-width:0.264583" + x="6.9525447" + y="65.279381">$write(\{b\})$:</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="59.340172" + y="118.94403" + id="text3707-5-3"><tspan + sodipodi:role="line" + id="tspan3705-4-6" + style="fill:#000000;stroke-width:0.264583" + x="59.340172" + y="118.94403">$read()$:</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="75.619804" + id="text3750-7"><tspan + sodipodi:role="line" + id="tspan3748-4" + style="fill:#999999;stroke-width:0.264583" + x="23.457415" + y="75.619804">$\not\sqsupseteq \{b\}$</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="84.598038" + id="text3750-3-4"><tspan + sodipodi:role="line" + id="tspan3748-2-3" + style="fill:#000000;stroke-width:0.264583" + x="23.457415" + y="84.598038">$\sqsupseteq \{b\} \to$ 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="93.54969" + id="text3750-0-0"><tspan + sodipodi:role="line" + id="tspan3748-6-7" + style="fill:#999999;stroke-width:0.264583" + x="23.457415" + y="93.54969">$\not\sqsupseteq \{b\}$</tspan></text> + <circle + style="fill:#800080;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000" + id="path3663-6" + cx="118.63729" + cy="67.630196" + r="2.7302806" /> + <circle + style="fill:#800080;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000" + id="path3663-6-6-0" + cx="67.201363" + cy="124.91125" + 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="72.653946" + y="127.6125" + id="text3750-9"><tspan + sodipodi:role="line" + id="tspan3748-3" + style="fill:#000000;stroke-width:0.264583" + x="72.653946" + y="127.6125">$\to \{a\}$</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="62.764446" + y="146.3129" + id="text4280-6"><tspan + sodipodi:role="line" + style="fill:#000000;stroke-width:0.264583" + x="62.764446" + y="146.3129" + id="tspan2630">return $\{a\}$</tspan></text> + <circle + style="fill:#ff0000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000" + id="path3663-3-0-7" + cx="67.201363" + cy="133.94179" + 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="72.653946" + y="136.59073" + id="text3750-3-6"><tspan + sodipodi:role="line" + id="tspan3748-2-0" + style="fill:#000000;stroke-width:0.264583" + x="72.653946" + y="136.59073">$\to \{\}$</tspan></text> + <circle + style="fill:#ff0000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000" + id="path3663-6-6-0-6" + cx="174.36296" + cy="124.91125" + 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="179.81555" + y="127.6125" + id="text3750-9-1"><tspan + sodipodi:role="line" + id="tspan3748-3-8" + style="fill:#000000;stroke-width:0.264583" + x="179.81555" + y="127.6125">$\to \{\}$</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="162.7999" + y="118.94403" + id="text3707-5-3-7"><tspan + sodipodi:role="line" + id="tspan3705-4-6-5" + style="fill:#000000;stroke-width:0.264583" + x="162.7999" + y="118.94403">$read()$:</tspan></text> + <text + xml:space="preserve" + style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;stroke-width:0.264583" + x="134.97845" + y="132.58472" + id="text3899"><tspan + sodipodi:role="line" + id="tspan3897" + style="stroke-width:0.264583" + x="134.97845" + y="132.58472">;</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="169.92604" + y="146.3129" + id="text4280-6-7"><tspan + sodipodi:role="line" + style="fill:#000000;stroke-width:0.264583" + x="169.92604" + y="146.3129" + id="tspan2630-9">return $\{b\}$</tspan></text> + <circle + style="fill:#008000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000" + id="path3663-3-0-7-2" + cx="174.36296" + cy="133.94179" + 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="179.81555" + y="136.59073" + id="text3750-3-6-0"><tspan + sodipodi:role="line" + id="tspan3748-2-0-2" + style="fill:#000000;stroke-width:0.264583" + x="179.81555" + y="136.59073">$\to \{b\}$</tspan></text> + <text + xml:space="preserve" + style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:end;text-anchor:end;fill:#ff0000;stroke-width:0.264583" + x="259.75" + y="135.53111" + id="text9043"><tspan + sodipodi:role="line" + id="tspan9041" + style="fill:#ff0000;stroke-width:0.264583" + x="259.75" + y="135.53111">${\Large\textbf{??!}}$~~~~~</tspan><tspan + sodipodi:role="line" + style="fill:#ff0000;stroke-width:0.264583" + x="259.75" + y="146.11446" + id="tspan9372">$\{a\} \not\sqsubseteq \{b\}$</tspan></text> + </g> +</svg> diff --git a/doc/talks/2023-01-18-tocatta/assets/latticeB_2.svg b/doc/talks/2023-01-18-tocatta/assets/latticeB_2.svg new file mode 100644 index 00000000..c07cba2b --- /dev/null +++ b/doc/talks/2023-01-18-tocatta/assets/latticeB_2.svg @@ -0,0 +1,576 @@ +<?xml version="1.0" encoding="UTF-8" standalone="no"?> +<!-- Created with Inkscape (http://www.inkscape.org/) --> + +<svg + width="1000" + height="600" + viewBox="0 0 264.58333 158.75" + version="1.1" + id="svg5" + inkscape:version="1.2.2 (b0a8486541, 2022-12-01)" + sodipodi:docname="latticeB_2.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" + 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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 + 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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> + <circle + style="fill:#ff0000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000" + id="path3663-1-4" + cx="18.004833" + cy="90.979645" + r="2.7302806" /> + <circle + style="fill:#008000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000" + id="path3663-3-0-5" + cx="18.004833" + cy="81.949104" + r="2.7302806" /> + <circle + style="fill:#800080;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000" + id="path3663-6-6-2" + cx="18.004833" + cy="72.918564" + 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="6.9525447" + y="65.279381" + id="text3707-5"><tspan + sodipodi:role="line" + id="tspan3705-4" + style="fill:#000000;stroke-width:0.264583" + x="6.9525447" + y="65.279381">$write(\{b\})$:</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="59.340172" + y="118.94403" + id="text3707-5-3"><tspan + sodipodi:role="line" + id="tspan3705-4-6" + style="fill:#000000;stroke-width:0.264583" + x="59.340172" + y="118.94403">$read()$:</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="75.619804" + id="text3750-7"><tspan + sodipodi:role="line" + id="tspan3748-4" + style="fill:#999999;stroke-width:0.264583" + x="23.457415" + y="75.619804">$\not\sqsupseteq \{b\}$</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="84.598038" + id="text3750-3-4"><tspan + sodipodi:role="line" + id="tspan3748-2-3" + style="fill:#000000;stroke-width:0.264583" + x="23.457415" + y="84.598038">$\sqsupseteq \{b\} \to$ 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="93.54969" + id="text3750-0-0"><tspan + sodipodi:role="line" + id="tspan3748-6-7" + style="fill:#999999;stroke-width:0.264583" + x="23.457415" + y="93.54969">$\not\sqsupseteq \{b\}$</tspan></text> + <circle + style="fill:#800080;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000" + id="path3663-6" + cx="118.63729" + cy="67.630196" + r="2.7302806" /> + <circle + style="fill:#800080;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000" + id="path3663-6-6-0" + cx="67.201363" + cy="124.91125" + 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="72.653946" + y="127.6125" + id="text3750-9"><tspan + sodipodi:role="line" + id="tspan3748-3" + style="fill:#000000;stroke-width:0.264583" + x="72.653946" + y="127.6125">$\to \{a\}$</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="62.764446" + y="146.3129" + id="text4280-6"><tspan + sodipodi:role="line" + style="fill:#000000;stroke-width:0.264583" + x="62.764446" + y="146.3129" + id="tspan2630">return $\{a\}$</tspan></text> + <circle + style="fill:#ff0000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000" + id="path3663-3-0-7" + cx="67.201363" + cy="133.94179" + 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="72.653946" + y="136.59073" + id="text3750-3-6"><tspan + sodipodi:role="line" + id="tspan3748-2-0" + style="fill:#000000;stroke-width:0.264583" + x="72.653946" + y="136.59073">$\to \{\}$</tspan></text> + </g> +</svg> diff --git a/doc/talks/2023-01-18-tocatta/assets/latticeB_7.svg b/doc/talks/2023-01-18-tocatta/assets/latticeB_7.svg new file mode 100644 index 00000000..154c0b7d --- /dev/null +++ b/doc/talks/2023-01-18-tocatta/assets/latticeB_7.svg @@ -0,0 +1,654 @@ +<?xml version="1.0" encoding="UTF-8" standalone="no"?> +<!-- Created with Inkscape 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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> + <circle + style="fill:#ff0000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000" + id="path3663-1-4" + cx="18.004833" + cy="90.979645" + r="2.7302806" /> + <circle + style="fill:#008000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000" + id="path3663-3-0-5" + cx="18.004833" + cy="81.949104" + r="2.7302806" /> + <circle + style="fill:#800080;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000" + id="path3663-6-6-2" + cx="18.004833" + cy="72.918564" + 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="6.9525447" + y="65.279381" + id="text3707-5"><tspan + sodipodi:role="line" + id="tspan3705-4" + style="fill:#000000;stroke-width:0.264583" + x="6.9525447" + y="65.279381">$write(\{b\})$:</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="59.340172" + y="118.94403" + id="text3707-5-3"><tspan + sodipodi:role="line" + id="tspan3705-4-6" + style="fill:#000000;stroke-width:0.264583" + x="59.340172" + y="118.94403">$read()$:</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="75.619804" + id="text3750-7"><tspan + sodipodi:role="line" + id="tspan3748-4" + style="fill:#999999;stroke-width:0.264583" + x="23.457415" + y="75.619804">$\not\sqsupseteq \{b\}$</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="84.598038" + id="text3750-3-4"><tspan + sodipodi:role="line" + id="tspan3748-2-3" + style="fill:#000000;stroke-width:0.264583" + x="23.457415" + y="84.598038">$\sqsupseteq \{b\} \to$ 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="93.54969" + id="text3750-0-0"><tspan + sodipodi:role="line" + id="tspan3748-6-7" + style="fill:#999999;stroke-width:0.264583" + x="23.457415" + y="93.54969">$\not\sqsupseteq \{b\}$</tspan></text> + <circle + style="fill:#800080;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000" + id="path3663-6" + cx="118.63729" + cy="67.630196" + r="2.7302806" /> + <circle + style="fill:#800080;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000" + id="path3663-6-6-0" + cx="67.201363" + cy="124.91125" + 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="72.653946" + y="127.6125" + id="text3750-9"><tspan + sodipodi:role="line" + id="tspan3748-3" + style="fill:#000000;stroke-width:0.264583" + x="72.653946" + y="127.6125">$\to \{a\}$</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="62.764446" + y="146.3129" + id="text4280-6"><tspan + sodipodi:role="line" + style="fill:#000000;stroke-width:0.264583" + x="62.764446" + y="146.3129" + id="tspan2630">return $\{a\}$</tspan></text> + <circle + style="fill:#ff0000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000" + id="path3663-3-0-7" + cx="67.201363" + cy="133.94179" + 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="72.653946" + y="136.59073" + id="text3750-3-6"><tspan + sodipodi:role="line" + id="tspan3748-2-0" + style="fill:#000000;stroke-width:0.264583" + x="72.653946" + y="136.59073">$\to \{\}$</tspan></text> + <text + xml:space="preserve" + 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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:0.999998;stop-color:#000000" + id="rect288" + width="262.58151" + height="156.82782" + 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;fill:#000000;stroke-width:0.264583" + x="164.56372" + y="99.307442" + id="text951"><tspan + sodipodi:role="line" + id="tspan949" + style="fill:#000000;stroke-width:0.264583" + 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;fill:#000000;stroke-width:0.264583" + x="164.56372" + y="13.151893" + id="text1005"><tspan + sodipodi:role="line" + id="tspan1003" + style="fill:#000000;stroke-width:0.264583" + 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;fill:#000000;stroke-width:0.264583" + x="49.27084" + y="67.008698" + id="text1009"><tspan + sodipodi:role="line" + id="tspan1007" + style="fill:#000000;stroke-width:0.264583" + 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;fill:#000000;stroke-width:0.264583" + x="112.90984" + y="67.017166" + id="text1009-3"><tspan + sodipodi:role="line" + id="tspan1007-6" + style="fill:#000000;stroke-width:0.264583" + 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;fill:#000000;stroke-width:0.264583" + x="176.20593" + y="67.008698" + id="text1009-7"><tspan + sodipodi:role="line" + id="tspan1007-5" + style="fill:#000000;stroke-width:0.264583" + 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;fill:#000000;stroke-width:0.264583" + x="112.90984" + y="40.841526" + id="text1117"><tspan + sodipodi:role="line" + id="tspan1115" + style="fill:#000000;stroke-width:0.264583" + 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;fill:#000000;stroke-width:0.264583" + x="49.27084" + y="40.841526" + id="text1117-3"><tspan + sodipodi:role="line" + id="tspan1115-5" + style="fill:#000000;stroke-width:0.264583" + 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;fill:#000000;stroke-width:0.264583" + x="176.20593" + y="40.841526" + id="text1117-6"><tspan + sodipodi:role="line" + id="tspan1115-2" + style="fill:#000000;stroke-width:0.264583" + 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="176.97627" + cy="68.155472" + 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;fill:#000000;stroke-width:0.264583" + x="6.9525447" + y="13.702217" + id="text3707"><tspan + sodipodi:role="line" + id="tspan3705" + style="fill:#000000;stroke-width:0.264583" + 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> + <circle + style="fill:#ff0000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000" + id="path3663-1-4" + cx="18.004833" + cy="90.979645" + r="2.7302806" /> + <circle + style="fill:#008000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000" + id="path3663-3-0-5" + cx="18.004833" + cy="81.949104" + r="2.7302806" /> + <circle + style="fill:#800080;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000" + id="path3663-6-6-2" + cx="18.004833" + cy="72.918564" + 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="6.9525447" + y="65.279381" + id="text3707-5"><tspan + sodipodi:role="line" + id="tspan3705-4" + style="fill:#000000;stroke-width:0.264583" + x="6.9525447" + y="65.279381">$write(\{b\})$:</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="59.340172" + y="118.94403" + id="text3707-5-3"><tspan + sodipodi:role="line" + id="tspan3705-4-6" + style="fill:#000000;stroke-width:0.264583" + x="59.340172" + y="118.94403">$read()$:</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="75.619804" + id="text3750-7"><tspan + sodipodi:role="line" + id="tspan3748-4" + style="fill:#999999;stroke-width:0.264583" + x="23.457415" + y="75.619804">$\not\sqsupseteq \{b\}$</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="84.598038" + id="text3750-3-4"><tspan + sodipodi:role="line" + id="tspan3748-2-3" + style="fill:#000000;stroke-width:0.264583" + x="23.457415" + y="84.598038">$\sqsupseteq \{b\} \to$ 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="93.54969" + id="text3750-0-0"><tspan + sodipodi:role="line" + id="tspan3748-6-7" + style="fill:#999999;stroke-width:0.264583" + x="23.457415" + y="93.54969">$\not\sqsupseteq \{b\}$</tspan></text> + <circle + style="fill:#800080;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000" + id="path3663-6" + cx="118.63729" + cy="67.630196" + r="2.7302806" /> + <circle + style="fill:#800080;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000" + id="path3663-6-6-0" + cx="67.201363" + cy="124.91125" + 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="72.653946" + y="127.6125" + id="text3750-9"><tspan + sodipodi:role="line" + id="tspan3748-3" + style="fill:#000000;stroke-width:0.264583" + x="72.653946" + y="127.6125">$\to \{a\}$</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="62.764446" + y="146.3129" + id="text4280-6"><tspan + sodipodi:role="line" + style="fill:#000000;stroke-width:0.264583" + x="62.764446" + y="146.3129" + id="tspan2630">return $\{a\}$</tspan></text> + <circle + style="fill:#ff0000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000" + id="path3663-3-0-7" + cx="67.201363" + cy="133.94179" + 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="72.653946" + y="136.59073" + id="text3750-3-6"><tspan + sodipodi:role="line" + id="tspan3748-2-0" + style="fill:#000000;stroke-width:0.264583" + x="72.653946" + y="136.59073">$\to \{\}$</tspan></text> + <circle + style="fill:#ff0000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000" + id="path3663-6-6-0-6" + cx="174.36296" + cy="124.91125" + 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="179.81555" + y="127.6125" + id="text3750-9-1"><tspan + sodipodi:role="line" + id="tspan3748-3-8" + style="fill:#000000;stroke-width:0.264583" + x="179.81555" + y="127.6125">$\to \{\}$</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="162.7999" + y="118.94403" + id="text3707-5-3-7"><tspan + sodipodi:role="line" + id="tspan3705-4-6-5" + style="fill:#000000;stroke-width:0.264583" + x="162.7999" + y="118.94403">$read()$:</tspan></text> + <text + xml:space="preserve" + style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;stroke-width:0.264583" + x="134.97845" + y="132.58472" + id="text3899"><tspan + sodipodi:role="line" + id="tspan3897" + style="stroke-width:0.264583" + x="134.97845" + y="132.58472">;</tspan></text> + </g> +</svg> diff --git a/doc/talks/2023-01-18-tocatta/assets/latticeB_9.svg b/doc/talks/2023-01-18-tocatta/assets/latticeB_9.svg new file mode 100644 index 00000000..b60f8afe --- /dev/null +++ b/doc/talks/2023-01-18-tocatta/assets/latticeB_9.svg @@ -0,0 +1,699 @@ +<?xml version="1.0" encoding="UTF-8" standalone="no"?> +<!-- Created with Inkscape (http://www.inkscape.org/) --> + +<svg + width="1000" + height="600" + viewBox="0 0 264.58333 158.75" + version="1.1" + id="svg5" + inkscape:version="1.2.2 (b0a8486541, 2022-12-01)" + sodipodi:docname="latticeB_9.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" 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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> + <circle + style="fill:#ff0000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000" + id="path3663-1-4" + cx="18.004833" + cy="90.979645" + r="2.7302806" /> + <circle + style="fill:#008000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000" + id="path3663-3-0-5" + cx="18.004833" + cy="81.949104" + r="2.7302806" /> + <circle + style="fill:#800080;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000" + id="path3663-6-6-2" + cx="18.004833" + cy="72.918564" + 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="6.9525447" + y="65.279381" + id="text3707-5"><tspan + sodipodi:role="line" + id="tspan3705-4" + style="fill:#000000;stroke-width:0.264583" + x="6.9525447" + y="65.279381">$write(\{b\})$:</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="59.340172" + y="118.94403" + id="text3707-5-3"><tspan + sodipodi:role="line" + id="tspan3705-4-6" + style="fill:#000000;stroke-width:0.264583" + x="59.340172" + y="118.94403">$read()$:</tspan></text> + <text + xml:space="preserve" + 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y="93.54969">$\not\sqsupseteq \{b\}$</tspan></text> + <circle + style="fill:#800080;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000" + id="path3663-6" + cx="118.63729" + cy="67.630196" + r="2.7302806" /> + <circle + style="fill:#800080;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000" + id="path3663-6-6-0" + cx="67.201363" + cy="124.91125" + 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="72.653946" + y="127.6125" + id="text3750-9"><tspan + sodipodi:role="line" + id="tspan3748-3" + style="fill:#000000;stroke-width:0.264583" + x="72.653946" + y="127.6125">$\to \{a\}$</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="62.764446" + y="146.3129" + id="text4280-6"><tspan + sodipodi:role="line" + style="fill:#000000;stroke-width:0.264583" + x="62.764446" + y="146.3129" + id="tspan2630">return $\{a\}$</tspan></text> + <circle + style="fill:#ff0000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000" + id="path3663-3-0-7" + cx="67.201363" + cy="133.94179" + 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="72.653946" + y="136.59073" + id="text3750-3-6"><tspan + sodipodi:role="line" + id="tspan3748-2-0" + style="fill:#000000;stroke-width:0.264583" + x="72.653946" + y="136.59073">$\to \{\}$</tspan></text> + <circle + style="fill:#ff0000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000" + id="path3663-6-6-0-6" + cx="174.36296" + cy="124.91125" + 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="179.81555" + y="127.6125" + id="text3750-9-1"><tspan + sodipodi:role="line" + id="tspan3748-3-8" + style="fill:#000000;stroke-width:0.264583" + x="179.81555" + y="127.6125">$\to \{\}$</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="162.7999" + y="118.94403" + id="text3707-5-3-7"><tspan + sodipodi:role="line" + id="tspan3705-4-6-5" + style="fill:#000000;stroke-width:0.264583" + x="162.7999" + y="118.94403">$read()$:</tspan></text> + <text + xml:space="preserve" + style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;stroke-width:0.264583" + x="134.97845" + y="132.58472" + id="text3899"><tspan + sodipodi:role="line" + id="tspan3897" + style="stroke-width:0.264583" + x="134.97845" + y="132.58472">;</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="169.92604" + y="146.3129" + 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+\usepackage[utf8]{inputenc} +% \usepackage[frenchb]{babel} +\usepackage{amsmath} +\usepackage{mathtools} +\usepackage{breqn} +\usepackage{multirow} +\usetheme{boxes} +\usepackage{graphicx} +\usepackage{import} +\usepackage{adjustbox} +%\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} +\subtitle{a lightweight and robust geo-distributed data storage system} +\author{Alex Auvolat, Deuxfleurs Association} +\date{Inria, 2023-01-18} + +\begin{document} + +\begin{frame} + \centering + \includegraphics[width=.3\linewidth]{../../sticker/Garage.pdf} + \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/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/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{How to make a \underline{stable} system} + + Enterprise-grade systems typically employ: + \vspace{1em} + \begin{itemize} + \item RAID + \item Redundant power grid + UPS + \item Redundant Internet connections + \item Low-latency links + \item ... + \end{itemize} + \vspace{1em} + $\to$ it's costly and only worth it at DC scale +\end{frame} + +\begin{frame} + \frametitle{How to make a \underline{resilient} system} + + \only<1,4-5>{ + Instead, we use: + \vspace{1em} + \begin{itemize} + \item \textcolor<2->{gray}{Commodity hardware (e.g. old desktop PCs)} + \vspace{.5em} + \item<4-> \textcolor<5->{gray}{Commodity Internet (e.g. FTTB, FTTH) and power grid} + \vspace{.5em} + \item<5-> \textcolor<6->{gray}{\textbf{Geographical redundancy} (multi-site replication)} + \end{itemize} + } + \only<2>{ + \begin{center} + \includegraphics[width=.8\linewidth]{assets/atuin.jpg} + \end{center} + } + \only<3>{ + \begin{center} + \includegraphics[width=.8\linewidth]{assets/neptune.jpg} + \end{center} + } + \only<6>{ + \begin{center} + \includegraphics[width=.5\linewidth]{assets/inframap.jpg} + \end{center} + } +\end{frame} + +\begin{frame} + \frametitle{How to make this happen} + \begin{center} + \only<1>{\includegraphics[width=.8\linewidth]{assets/slide1.png}}% + \only<2>{\includegraphics[width=.8\linewidth]{assets/slide2.png}}% + \only<3>{\includegraphics[width=.8\linewidth]{assets/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]{../2020-12-02_wide-team/img/Amazon-S3.jpg} + \hspace{3em} + \includegraphics[height=5em]{assets/minio.png} + \hspace{3em} + \includegraphics[height=6em]{../../logo/garage_hires_crop.png} + \end{center} + \vspace{1em} + S3: a de-facto standard, many compatible applications + + \vspace{1em} + + MinIO is self-hostable but not suited for geo-distributed deployments + + \vspace{1em} + + \textbf{Garage is a self-hosted drop-in replacement for the Amazon S3 object store} +\end{frame} + + +\begin{frame} + \frametitle{The data model of object storage} + Object storage is basically a key-value store: + \vspace{1em} + + \begin{center} + \begin{tabular}{|l|p{8cm}|} + \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} + +\end{frame} + +\begin{frame} + \frametitle{Garage's architecture} + \begin{center} + \includegraphics[width=.35\linewidth]{assets/garage.drawio.pdf} + \end{center} +\end{frame} + +\begin{frame} + \frametitle{Two big problems} + \begin{enumerate} + \item \textbf{How to place data on different nodes?}\\ + \vspace{1em} + \underline{Constraints:} heterogeneous hardware\\ + \underline{Objective:} $n$ copies of everything, maximize usable capacity, maximize resilience\\ + \vspace{1em} + $\to$ the Dynamo model + optimization algorithms + \vspace{2em} + \item<2-> \textbf{How to guarantee consistency?}\\ + \vspace{1em} + \underline{Constraints:} slow network (geographical distance), node unavailability/crashes\\ + \underline{Objective:} maximize availability, read-after-write guarantee\\ + \vspace{1em} + $\to$ CRDTs, monotonicity, read and write quorums + \end{enumerate} +\end{frame} + +\section{Problem 1: placing data} + +\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{Key-value stores, upgraded: the Dynamo model} + \begin{itemize} + \item Data with different partition keys is stored independently,\\ + on a different set of nodes\\ + \vspace{.5em} + $\to$ no easy way to list all partition keys\\ + $\to$ no cross-shard transactions\\ + \vspace{2em} + \item Placing data: hash the partition key, select nodes accordingly\\ + \vspace{.5em} + $\to$ distributed hash table (DHT) + \vspace{2em} + \item For a given value of the partition key, items can be listed using their sort keys + \end{itemize} +\end{frame} + +\begin{frame} + \frametitle{How to spread files over different cluster nodes?} + \textbf{Consistent hashing (Dynamo):} + \vspace{1em} + + \begin{center} + \only<1>{\includegraphics[width=.40\columnwidth]{assets/consistent_hashing_1.pdf}}% + \only<2>{\includegraphics[width=.40\columnwidth]{assets/consistent_hashing_2.pdf}}% + \only<3>{\includegraphics[width=.40\columnwidth]{assets/consistent_hashing_3.pdf}}% + \only<4>{\includegraphics[width=.40\columnwidth]{assets/consistent_hashing_4.pdf}}% + \end{center} +\end{frame} + +\begin{frame} + \frametitle{Constraint: location-awareness} + \begin{center} + \includegraphics[width=\linewidth]{assets/location-aware.png} + \end{center} + \vspace{2em} + Garage replicates data on different zones when possible +\end{frame} + +\begin{frame} + \frametitle{Constraint: location-awareness} + \begin{center} + \includegraphics[width=.8\linewidth]{assets/map.png} + \end{center} +\end{frame} + +\begin{frame} + \frametitle{Issues with consistent hashing} + \begin{itemize} + \item Consistent hashing doesn't dispatch data based on geographical location of nodes + \vspace{1em} + \item<2-> Geographically aware adaptation, try 1:\\ + data quantities not well balanced between nodes + \vspace{1em} + \item<3-> Geographically aware adaptation, try 2:\\ + too many reshuffles when adding/removing nodes + \end{itemize} +\end{frame} + +\begin{frame} + \frametitle{How to spread files over different cluster nodes?} + \textbf{Garage's method: build an index table} + \vspace{1em} + + Realization: we can actually precompute an optimal solution + \vspace{1em} + + \visible<2->{ + \begin{center} + \begin{tabular}{|l|l|l|l|} + \hline + \textbf{Partition} & \textbf{Node 1} & \textbf{Node 2} & \textbf{Node 3} \\ + \hline + \hline + Partition 0 & Io (jupiter) & Drosera (atuin) & Courgette (neptune) \\ + \hline + Partition 1 & Datura (atuin) & Courgette (neptune) & Io (jupiter) \\ + \hline + Partition 2 & Io(jupiter) & Celeri (neptune) & Drosera (atuin) \\ + \hline + \hspace{1em}$\vdots$ & \hspace{1em}$\vdots$ & \hspace{1em}$\vdots$ & \hspace{1em}$\vdots$ \\ + \hline + Partition 255 & Concombre (neptune) & Io (jupiter) & Drosera (atuin) \\ + \hline + \end{tabular} + \end{center} + } + \vspace{1em} + \visible<3->{ + The index table is built centrally using an optimal algorithm,\\ + then propagated to all nodes + } +\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} + +\begin{frame} + \frametitle{Storing and retrieving files} + \begin{center} + \only<1>{\includegraphics[width=.45\linewidth]{assets/garage2a.drawio.pdf}}% + \only<2>{\includegraphics[width=.45\linewidth]{assets/garage2b.drawio.pdf}}% + \end{center} +\end{frame} + +\section{Problem 2: ensuring consistency} + +\begin{frame} + \frametitle{Consensus vs weak consistency} + + \hspace{1em} + \begin{minipage}{7cm} + \textbf{Consensus-based systems:} + \vspace{1em} + \begin{itemize} + \item \textbf{Leader-based:} a leader is elected to coordinate + all reads and writes + \vspace{1em} + \item \textbf{Linearizability} of all operations\\ + (strongest consistency guarantee) + \vspace{1em} + \item Any sequential specification can be implemented as a \textbf{replicated state machine} + \vspace{1em} + \item \textbf{Costly}, the leader is a bottleneck; + leader elections on failure take time + \end{itemize} + \end{minipage} + \hfill + \begin{minipage}{7cm} \visible<2->{ + \textbf{Weakly consistent systems:} + \vspace{1em} + \begin{itemize} + \item \textbf{Nodes are equivalent}, any node + can originate a read or write operation + \vspace{1em} + \item \textbf{Read-after-write consistency} with quorums, + eventual consistency without + \vspace{1em} + \item \textbf{Operations have to commute}, i.e.~we + can only implement CRDTs + \vspace{1em} + \item \textbf{Fast}, no single bottleneck;\\ + works the same with offline nodes + \end{itemize} + } \end{minipage} + \hspace{1em} +\end{frame} + +\begin{frame} + \frametitle{Consensus vs weak consistency} + \begin{center} + \textbf{From a theoretical point of view:}\\ + + \end{center} + \vspace{2em} + + \hspace{1em} + \begin{minipage}{6.5cm} + \underline{Consensus-based systems:} + + \vspace{1em} + + Require \textbf{additional assumptions} such as a fault detector or a strong RNG\\ + (FLP impossibility theorem) + \end{minipage} + \hfill + \begin{minipage}{6.5cm} + \underline{Weakly consistent systems:} + + \vspace{1em} + + Can be implemented in \textbf{any\\asynchronous message passing\\distributed system} with node crashes + \end{minipage} + \hspace{1em} + + \vspace{3em} + \begin{center} + They represent \textbf{different classes of computational capability}\\ + \end{center} +\end{frame} + +\begin{frame} + \frametitle{Consensus vs weak consistency} + \begin{center} + \textbf{The same objects cannot be implemented in both models.} + \end{center} + \vspace{2em} + + \hspace{1em} + \begin{minipage}{6.5cm} + \underline{Consensus-based systems:} + + \vspace{1em} + + \textbf{Any sequential specification}\\~ + + \vspace{1em} + \textbf{Easier to program for}: just write your program as if it were sequential on a single machine + + \end{minipage} + \hfill + \begin{minipage}{6.5cm} + \underline{Weakly consistent systems:} + + \vspace{1em} + + \textbf{Only CRDTs}\\(conflict-free replicated data types) + + \vspace{1em} + Part of the complexity is \textbf{reported to the consumer of the API}\\~ + \end{minipage} + \hspace{1em} +\end{frame} + +\begin{frame} + \frametitle{Understanding the power of consensus} + \textbf{Consensus:} an API with a single operation, $propose(x)$ + \begin{enumerate} + \item nodes all call $propose(x)$ with their proposed value; + \item nodes all receive the same value as a return value, which is one of the proposed values + \end{enumerate} + \vspace{1em} + + \visible<2->{ + \textbf{Equivalent to} a distributed algorithm that gives a total order on all requests + } + \vspace{1em} + + \visible<3->{ + \textbf{Implemented by} this simple replicated state machine: + \vspace{.5em} + \begin{figure} + \centering + \def\svgwidth{.5\textwidth} + \large + \import{assets/}{consensus.pdf_tex} + \end{figure} + \vspace{1em} + } +\end{frame} + +\begin{frame} + \frametitle{Can my object be implemented without consensus?} + \underline{Given the specification of an API:} + \vspace{2em} + \begin{itemize} + \item \textbf{Using this API, we can implement the consensus object} (the $propose$ function)\\ + $\to$ the API is equivalent to consensus/total ordering of messages\\ + $\to$ the API cannot be implemented in a weakly consistent system + \vspace{2em} + \item<2-> \textbf{This API can be implemented using only weak primitives}\\ + (e.g. in the asynchronous message passing model with no further assumption)\\ + $\to$ the API is strictly weaker than consensus\\ + $\to$ we can implement it in Garage! + \end{itemize} +\end{frame} + +\begin{frame} + \frametitle{Why avoid consensus?} + Consensus can be implemented reasonably well in practice, so why avoid it? + \vspace{2em} + \begin{itemize} + \item \textbf{Software complexity:} RAFT and PAXOS are complex beasts;\\ + harder to prove, harder to reason about + \vspace{1.5em} + \item \textbf{Performance issues:} + \vspace{1em} + \begin{itemize} + \item Theoretical requirements (RNG, failure detector) translate into \textbf{practical costs} + \vspace{1em} + \item The leader is a \textbf{bottleneck} for all requests;\\ + even in leaderless approaches, \textbf{all nodes must process all operations in order} + \vspace{1em} + \item Particularly \textbf{sensitive to higher latency} between nodes + \end{itemize} + \end{itemize} +\end{frame} + +\begin{frame} + \frametitle{Performance gains in practice} + \begin{center} + \includegraphics[width=.8\linewidth]{assets/endpoint-latency-dc.png} + \end{center} +\end{frame} + +\begin{frame} + \frametitle{What can we implement without consensus?} + \begin{itemize} + \item Any \textbf{conflict-free replicated data type} (CRDT) + \vspace{1em} + \item<2-> 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{1em} + \item<3-> \textbf{Read-after-write consistency} can be implemented + using quorums on read and write operations + \vspace{1em} + \item<4-> \textbf{Monotonicity of reads} can be implemented with repair-on-read\\ + (makes reads more costly, not implemented in Garage) + \end{itemize} +\end{frame} + +\begin{frame} + \frametitle{CRDTs and quorums: read-after-write consistency} + \begin{figure} + \centering + \def\svgwidth{.8\textwidth} + \only<1>{\import{assets/}{lattice1.pdf_tex}}% + \only<2>{\import{assets/}{lattice2.pdf_tex}}% + \only<3>{\import{assets/}{lattice3.pdf_tex}}% + \only<4>{\import{assets/}{lattice4.pdf_tex}}% + \only<5>{\import{assets/}{lattice5.pdf_tex}}% + \only<6>{\import{assets/}{lattice6.pdf_tex}}% + \only<7>{\import{assets/}{lattice7.pdf_tex}}% + \only<8>{\import{assets/}{lattice8.pdf_tex}}% + \end{figure} +\end{frame} + +\begin{frame} + \frametitle{CRDTs and quorums: read-after-write consistency} + \textbf{Property:} If node $A$ did an operation $write(x)$ and received an OK response,\\ + \hspace{2cm} and node $B$ starts an operation $read()$ after $A$ received OK,\\ + \hspace{2cm} then $B$ will read a value $x' \sqsupseteq x$. + + \vspace{1em} + + \hspace{1em} + \begin{minipage}{6.8cm} + \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} + \hfill + \begin{minipage}{6.8cm} + \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} + \hspace{1em} + + \vspace{2em} + \textbf{Why does it work?} There is at least one node at the intersection between the two sets of nodes that replied to each request, that ``saw'' $x$ before the $read()$ started ($x_i \sqsupseteq x$). +\end{frame} + +\begin{frame} + \frametitle{CRDTs and quorums: monotonic-reads consistency} + \begin{figure} + \centering + \def\svgwidth{.8\textwidth} + \only<1>{\import{assets/}{latticeB_1.pdf_tex}}% + \only<2>{\import{assets/}{latticeB_2.pdf_tex}}% + \only<3>{\import{assets/}{latticeB_3.pdf_tex}}% + \only<4>{\import{assets/}{latticeB_4.pdf_tex}}% + \only<5>{\import{assets/}{latticeB_5.pdf_tex}}% + \only<6>{\import{assets/}{latticeB_6.pdf_tex}}% + \only<7>{\import{assets/}{latticeB_7.pdf_tex}}% + \only<8>{\import{assets/}{latticeB_8.pdf_tex}}% + \only<9>{\import{assets/}{latticeB_9.pdf_tex}}% + \only<10>{\import{assets/}{latticeB_10.pdf_tex}}% + \end{figure} +\end{frame} + +\begin{frame} + \frametitle{CRDTs and quorums: monotonic-reads consistency} + \textbf{Property:} If node $A$ did an operation $read()$ and received $x$ as a response,\\ + \hspace{2cm} and node $B$ starts an operation $read()$ after $A$ received $x$,\\ + \hspace{2cm} then $B$ will read a value $x' \sqsupseteq x$. + + \vspace{1em} + + \textbf{Algorithm $monotonic\_read()$:} {\small (a.k.a. repair-on-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 If $x_i \ne x_j$ for some nodes $i$ and $j$,\\ + \hspace{1cm}then call $write(x_1 \sqcup \dots \sqcup x_k)$ and wait for OK from $k' > n/2$ nodes + \item Return $x_1 \sqcup \dots \sqcup x_k$ + \end{enumerate} + + \vspace{1em} + + This makes reads slower in some cases, and is \textbf{not implemented in Garage}. +\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:\\ + $$\{n_A, n_B, n_C\} \to \{n_A, n_D, n_E\}$$ + \vspace{.01em} + \item<3-> During the rebalancing, $D$ and $E$ don't yet have the data,\\ + ~~~~~~~~~~~~~~~~~~~and $B$ and $C$ want to get rid of the data to free up space\\ + \vspace{.2em} + $\to$ quorums only within the new set of nodes don't work\\ + $\to$ how to coordinate? \textbf{currently, we don't...} + + \end{itemize} +\end{frame} + +\section{Going further than the S3 API} + +\begin{frame} + \frametitle{Using Garage for everything} + \begin{center} + \only<1>{\includegraphics[width=.8\linewidth]{assets/slideB1.png}}% + \only<2>{\includegraphics[width=.8\linewidth]{assets/slideB2.png}}% + \only<3>{\includegraphics[width=.8\linewidth]{assets/slideB3.png}}% + \end{center} +\end{frame} + +\begin{frame} + \frametitle{K2V Design} + \begin{itemize} + \item A new, custom, minimal API\\ + \vspace{.5em} + \begin{itemize} + \item Single-item operations + \item Operations on ranges and batches of items + \item Polling operations to help implement a PubSub pattern + \end{itemize} + \vspace{1em} + \item<2-> Exposes the partitoning mechanism of Garage\\ + K2V = partition key / sort key / value (like Dynamo) + \vspace{1em} + \item<3-> Weakly consistent, CRDT-friendly\\ + $\to$ no support for transactions (not ACID) + \vspace{1em} + \item<4-> Cryptography-friendly: values are binary blobs + \end{itemize} +\end{frame} + +\begin{frame} + \frametitle{Handling concurrent values} + \textbf{How to handle concurrency?} Example: + \vspace{1em} + \begin{enumerate} + \item Client $A$ reads the initial value of a key, $x_0$ + \vspace{1em} + \item<2-> Client $B$ also reads the initial value $x_0$ of that key + \vspace{1em} + \item<3-> Client $A$ modifies $x_0$, and writes a new value $x_1$ + \vspace{1em} + \item<4-> Client $B$ also modifies $x_0$, and writes a new value $x'_1$,\\ + without having a chance to first read $x_1$\\ + \vspace{1em} + $\to$ what should the final state be? + \end{enumerate} +\end{frame} + +\begin{frame} + \frametitle{Handling concurrent values} + \begin{itemize} + \item If we keep only $x_1$ or $x'_1$, we risk \textbf{loosing application data} + \vspace{1.5em} + \item<2-> Values are opaque binary blobs, \textbf{K2V cannot resolve conflicts} by itself\\ + (e.g. by implementing a CRDT) + \vspace{1.5em} + \item<3-> Solution: \textbf{we keep both!}\\ + $\to$ the value of the key is now $\{x_1, x'_1\}$\\ + $\to$ the client application can decide how to resolve conflicts on the next read + \end{itemize} +\end{frame} + +\begin{frame} + \frametitle{Keeping track of causality} + How does K2V know that $x_1$ and $x'_1$ are concurrent? + \vspace{1em} + \begin{itemize} + \item $read()$ returns \textbf{a set of values} and an associated \textbf{causality token}\\ + \vspace{1.5em} + \item<2-> When calling $write()$, the client sends \textbf{the causality token from its last read} + \vspace{1.5em} + \item<3-> The causality token represents the set of values \textbf{already seen by the client}\\ + $\to$ those values are the \textbf{causal past} of the write operation\\ + $\to$ K2V can keep concurrent values and overwrite all ones in the causal past + \vspace{1.5em} + \item<4-> Internally, the causality token is \textbf{a vector clock} + \end{itemize} +\end{frame} + +\begin{frame} + \frametitle{Application: an e-mail storage server} + \begin{center} + \only<1>{\includegraphics[width=.9\linewidth]{assets/aerogramme.png}}% + \end{center} +\end{frame} + +\begin{frame} + \frametitle{Aerogramme data model} + \begin{center} + \only<1>{\includegraphics[width=.4\linewidth]{assets/aerogramme_datatype.drawio.pdf}}% + \only<2->{\includegraphics[width=.9\linewidth]{assets/aerogramme_keys.drawio.pdf}\vspace{1em}}% + \end{center} + \visible<3->{Aerogramme encrypts all stored values for privacy\\ + (Garage server administrators can't read your mail)} +\end{frame} + +\begin{frame} + \frametitle{Different deployment scenarios} + \begin{center} + \only<1>{\includegraphics[width=.9\linewidth]{assets/aerogramme_components1.drawio.pdf}}% + \only<2>{\includegraphics[width=.9\linewidth]{assets/aerogramme_components2.drawio.pdf}}% + \end{center} +\end{frame} + +\begin{frame} + \frametitle{A new model for building resilient software} + How to build an application using only Garage as a data store: + \vspace{1em} + \begin{enumerate} + \item Design a data model suited to K2V\\ + {\footnotesize (see Cassandra docs on porting SQL data models to Cassandra)} + \vspace{1em} + \begin{itemize} + \item Use CRDTs or other eventually consistent data types (see e.g. Bayou) + \vspace{1em} + \item Store opaque binary blobs to provide End-to-End Encryption\\ + \end{itemize} + \vspace{1em} + \item<2-> Store big blobs (files) using the S3 API + \vspace{1em} + \item<3-> Let Garage manage sharding, replication, failover, etc. + \end{enumerate} +\end{frame} + +\section{Conclusion} + +\begin{frame} + \frametitle{Perspectives} + \begin{itemize} + \item Fix the consistency issue when rebalancing + \vspace{1em} + \item Write about Garage's architecture and properties,\\ + and about our proposed architecture for (E2EE) apps over K2V+S3 + \vspace{1em} + \item Continue developing Garage; finish Aerogramme; build new applications... + \vspace{1em} + \item Anything else? + \end{itemize} +\end{frame} + +\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/rust_logo.png} + \includegraphics[width=.13\linewidth]{assets/AGPLv3_Logo.png} + \end{center} +\end{frame} + +\end{document} + +%% vim: set ts=4 sw=4 tw=0 noet spelllang=en : diff --git a/doc/talks/shell.nix b/doc/talks/shell.nix new file mode 100644 index 00000000..161a61e1 --- /dev/null +++ b/doc/talks/shell.nix @@ -0,0 +1,12 @@ +{ pkgs ? import <nixpkgs> { } }: +let + latex = (pkgs.texlive.combine { + inherit (pkgs.texlive) + scheme-basic + beamer amsmath mathtools breqn + environ + multirow graphics import adjustbox tabu vwcol stmaryrd ulem ragged2e + dvisvgm dvipng wrapfig hyperref capt-of; + }); +in pkgs.mkShell { nativeBuildInputs = [ pkgs.gnumake latex ]; } + |
