forked from Deuxfleurs/garage
Merge branch 'main' into k2v-watch-range-2
This commit is contained in:
commit
590a0a8450
119 changed files with 23631 additions and 3124 deletions
1542
Cargo.lock
generated
1542
Cargo.lock
generated
File diff suppressed because it is too large
Load diff
2
Makefile
2
Makefile
|
|
@ -4,7 +4,7 @@ all:
|
|||
clear; cargo build
|
||||
|
||||
release:
|
||||
nix-build --arg release true
|
||||
nix-build --attr pkgs.amd64.release --no-build-output
|
||||
|
||||
shell:
|
||||
nix-shell
|
||||
|
|
|
|||
28
default.nix
28
default.nix
|
|
@ -1,7 +1,4 @@
|
|||
{
|
||||
system ? builtins.currentSystem,
|
||||
git_version ? null,
|
||||
}:
|
||||
{ system ? builtins.currentSystem, git_version ? null, }:
|
||||
|
||||
with import ./nix/common.nix;
|
||||
|
||||
|
|
@ -13,22 +10,21 @@ let
|
|||
debug = (compile {
|
||||
inherit system target git_version pkgsSrc cargo2nixOverlay;
|
||||
release = false;
|
||||
}).workspace.garage {
|
||||
compileMode = "build";
|
||||
};
|
||||
}).workspace.garage { compileMode = "build"; };
|
||||
|
||||
release = (compile {
|
||||
inherit system target git_version pkgsSrc cargo2nixOverlay;
|
||||
release = true;
|
||||
}).workspace.garage {
|
||||
compileMode = "build";
|
||||
};
|
||||
}).workspace.garage { compileMode = "build"; };
|
||||
});
|
||||
|
||||
test = (rustPkgs: pkgs.symlinkJoin {
|
||||
name ="garage-tests";
|
||||
paths = builtins.map (key: rustPkgs.workspace.${key} { compileMode = "test"; }) (builtins.attrNames rustPkgs.workspace);
|
||||
});
|
||||
test = (rustPkgs:
|
||||
pkgs.symlinkJoin {
|
||||
name = "garage-tests";
|
||||
paths =
|
||||
builtins.map (key: rustPkgs.workspace.${key} { compileMode = "test"; })
|
||||
(builtins.attrNames rustPkgs.workspace);
|
||||
});
|
||||
|
||||
in {
|
||||
pkgs = {
|
||||
|
|
@ -55,8 +51,6 @@ in {
|
|||
inherit system git_version pkgsSrc cargo2nixOverlay;
|
||||
target = "x86_64-unknown-linux-musl";
|
||||
compiler = "clippy";
|
||||
}).workspace.garage {
|
||||
compileMode = "build";
|
||||
};
|
||||
}).workspace.garage { compileMode = "build"; };
|
||||
};
|
||||
}
|
||||
|
|
|
|||
|
|
@ -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
|
||||
|
||||
|
||||
|
|
|
|||
|
|
@ -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
|
||||
|
||||
|
|
|
|||
|
|
@ -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
|
||||
|
||||
|
|
|
|||
57
doc/book/connect/observability.md
Normal file
57
doc/book/connect/observability.md
Normal file
|
|
@ -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.
|
||||
|
|
@ -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).
|
||||
|
|
|
|||
BIN
doc/logo/garage_hires_crop.png
Normal file
BIN
doc/logo/garage_hires_crop.png
Normal file
Binary file not shown.
|
After Width: | Height: | Size: 41 KiB |
1
doc/talks/.envrc
Normal file
1
doc/talks/.envrc
Normal file
|
|
@ -0,0 +1 @@
|
|||
use_nix
|
||||
17
doc/talks/2023-01-18-tocatta/.gitignore
vendored
Normal file
17
doc/talks/2023-01-18-tocatta/.gitignore
vendored
Normal file
|
|
@ -0,0 +1,17 @@
|
|||
*
|
||||
|
||||
!*.txt
|
||||
!*.md
|
||||
|
||||
!assets
|
||||
|
||||
!.gitignore
|
||||
!*.svg
|
||||
!*.png
|
||||
!*.jpg
|
||||
!*.tex
|
||||
!Makefile
|
||||
!.gitignore
|
||||
!assets/*.drawio.pdf
|
||||
|
||||
!talk.pdf
|
||||
34
doc/talks/2023-01-18-tocatta/Makefile
Normal file
34
doc/talks/2023-01-18-tocatta/Makefile
Normal file
|
|
@ -0,0 +1,34 @@
|
|||
ASSETS=assets/consistent_hashing_1.pdf \
|
||||
assets/consistent_hashing_2.pdf \
|
||||
assets/consistent_hashing_3.pdf \
|
||||
assets/consistent_hashing_4.pdf \
|
||||
assets/garage_tables.pdf \
|
||||
assets/consensus.pdf_tex \
|
||||
assets/lattice1.pdf_tex \
|
||||
assets/lattice2.pdf_tex \
|
||||
assets/lattice3.pdf_tex \
|
||||
assets/lattice4.pdf_tex \
|
||||
assets/lattice5.pdf_tex \
|
||||
assets/lattice6.pdf_tex \
|
||||
assets/lattice7.pdf_tex \
|
||||
assets/lattice8.pdf_tex \
|
||||
assets/latticeB_1.pdf_tex \
|
||||
assets/latticeB_2.pdf_tex \
|
||||
assets/latticeB_3.pdf_tex \
|
||||
assets/latticeB_4.pdf_tex \
|
||||
assets/latticeB_5.pdf_tex \
|
||||
assets/latticeB_6.pdf_tex \
|
||||
assets/latticeB_7.pdf_tex \
|
||||
assets/latticeB_8.pdf_tex \
|
||||
assets/latticeB_9.pdf_tex \
|
||||
assets/latticeB_10.pdf_tex \
|
||||
assets/deuxfleurs.pdf
|
||||
|
||||
talk.pdf: talk.tex $(ASSETS)
|
||||
pdflatex talk.tex
|
||||
|
||||
assets/%.pdf: assets/%.svg
|
||||
inkscape -D -z --file=$^ --export-pdf=$@
|
||||
|
||||
assets/%.pdf_tex: assets/%.svg
|
||||
inkscape -D -z --file=$^ --export-pdf=$@ --export-latex
|
||||
39
doc/talks/2023-01-18-tocatta/abstract.md
Normal file
39
doc/talks/2023-01-18-tocatta/abstract.md
Normal file
|
|
@ -0,0 +1,39 @@
|
|||
### (fr) Garage, un système de stockage de données géo-distribué léger et robuste
|
||||
|
||||
Garage est un système de stockage de données léger, géo-distribué, qui
|
||||
implémente le protocole de stockage S3 de Amazon. 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.
|
||||
|
||||
|
||||
|
||||
BIN
doc/talks/2023-01-18-tocatta/assets/AGPLv3_Logo.png
Normal file
BIN
doc/talks/2023-01-18-tocatta/assets/AGPLv3_Logo.png
Normal file
Binary file not shown.
|
After Width: | Height: | Size: 32 KiB |
BIN
doc/talks/2023-01-18-tocatta/assets/aerogramme.png
Normal file
BIN
doc/talks/2023-01-18-tocatta/assets/aerogramme.png
Normal file
Binary file not shown.
|
After Width: | Height: | Size: 115 KiB |
1241
doc/talks/2023-01-18-tocatta/assets/aerogramme.svg
Normal file
1241
doc/talks/2023-01-18-tocatta/assets/aerogramme.svg
Normal file
File diff suppressed because one or more lines are too long
|
After Width: | Height: | Size: 184 KiB |
Binary file not shown.
BIN
doc/talks/2023-01-18-tocatta/assets/aerogramme_components1.png
Normal file
BIN
doc/talks/2023-01-18-tocatta/assets/aerogramme_components1.png
Normal file
Binary file not shown.
|
After Width: | Height: | Size: 26 KiB |
Binary file not shown.
BIN
doc/talks/2023-01-18-tocatta/assets/aerogramme_components2.png
Normal file
BIN
doc/talks/2023-01-18-tocatta/assets/aerogramme_components2.png
Normal file
Binary file not shown.
|
After Width: | Height: | Size: 27 KiB |
Binary file not shown.
BIN
doc/talks/2023-01-18-tocatta/assets/aerogramme_datatype.png
Normal file
BIN
doc/talks/2023-01-18-tocatta/assets/aerogramme_datatype.png
Normal file
Binary file not shown.
|
After Width: | Height: | Size: 8.9 KiB |
BIN
doc/talks/2023-01-18-tocatta/assets/aerogramme_keys.drawio.pdf
Normal file
BIN
doc/talks/2023-01-18-tocatta/assets/aerogramme_keys.drawio.pdf
Normal file
Binary file not shown.
BIN
doc/talks/2023-01-18-tocatta/assets/aerogramme_keys.png
Normal file
BIN
doc/talks/2023-01-18-tocatta/assets/aerogramme_keys.png
Normal file
Binary file not shown.
|
After Width: | Height: | Size: 18 KiB |
BIN
doc/talks/2023-01-18-tocatta/assets/alex.jpg
Normal file
BIN
doc/talks/2023-01-18-tocatta/assets/alex.jpg
Normal file
Binary file not shown.
|
After Width: | Height: | Size: 4.8 KiB |
BIN
doc/talks/2023-01-18-tocatta/assets/atuin.jpg
Normal file
BIN
doc/talks/2023-01-18-tocatta/assets/atuin.jpg
Normal file
Binary file not shown.
|
After Width: | Height: | Size: 263 KiB |
BIN
doc/talks/2023-01-18-tocatta/assets/compatibility.png
Normal file
BIN
doc/talks/2023-01-18-tocatta/assets/compatibility.png
Normal file
Binary file not shown.
|
After Width: | Height: | Size: 82 KiB |
137
doc/talks/2023-01-18-tocatta/assets/consensus.svg
Normal file
137
doc/talks/2023-01-18-tocatta/assets/consensus.svg
Normal file
|
|
@ -0,0 +1,137 @@
|
|||
<?xml version="1.0" encoding="UTF-8" standalone="no"?>
|
||||
<!-- Created with Inkscape (http://www.inkscape.org/) -->
|
||||
|
||||
<svg
|
||||
width="800"
|
||||
height="300"
|
||||
viewBox="0 0 211.66666 79.374999"
|
||||
version="1.1"
|
||||
id="svg5"
|
||||
inkscape:version="1.2.2 (b0a8486541, 2022-12-01)"
|
||||
sodipodi:docname="consensus.svg"
|
||||
xmlns:inkscape="http://www.inkscape.org/namespaces/inkscape"
|
||||
xmlns:sodipodi="http://sodipodi.sourceforge.net/DTD/sodipodi-0.dtd"
|
||||
xmlns="http://www.w3.org/2000/svg"
|
||||
xmlns:svg="http://www.w3.org/2000/svg">
|
||||
<sodipodi:namedview
|
||||
id="namedview7"
|
||||
pagecolor="#ffffff"
|
||||
bordercolor="#666666"
|
||||
borderopacity="1.0"
|
||||
inkscape:showpageshadow="2"
|
||||
inkscape:pageopacity="0.0"
|
||||
inkscape:pagecheckerboard="0"
|
||||
inkscape:deskcolor="#d1d1d1"
|
||||
inkscape:document-units="mm"
|
||||
showgrid="false"
|
||||
inkscape:zoom="1.4734708"
|
||||
inkscape:cx="310.49139"
|
||||
inkscape:cy="179.1688"
|
||||
inkscape:window-width="1920"
|
||||
inkscape:window-height="999"
|
||||
inkscape:window-x="0"
|
||||
inkscape:window-y="0"
|
||||
inkscape:window-maximized="1"
|
||||
inkscape:current-layer="layer1" />
|
||||
<defs
|
||||
id="defs2">
|
||||
<marker
|
||||
style="overflow:visible"
|
||||
id="Arrow2"
|
||||
refX="0"
|
||||
refY="0"
|
||||
orient="auto-start-reverse"
|
||||
inkscape:stockid="Arrow2"
|
||||
markerWidth="7.6999998"
|
||||
markerHeight="5.5999999"
|
||||
viewBox="0 0 7.7 5.6"
|
||||
inkscape:isstock="true"
|
||||
inkscape:collect="always"
|
||||
preserveAspectRatio="xMidYMid">
|
||||
<path
|
||||
transform="scale(0.7)"
|
||||
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
|
||||
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
|
||||
id="arrow2L" />
|
||||
</marker>
|
||||
</defs>
|
||||
<g
|
||||
inkscape:label="Layer 1"
|
||||
inkscape:groupmode="layer"
|
||||
id="layer1">
|
||||
<g
|
||||
id="g1218"
|
||||
transform="translate(-8.9161476,-12.502301)">
|
||||
<circle
|
||||
style="fill:#ffffff;stroke:#000000;stroke-width:1;stroke-dasharray:none;stroke-opacity:1"
|
||||
id="path111"
|
||||
cx="38.904896"
|
||||
cy="37.936272"
|
||||
r="13.474442" />
|
||||
<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="38.879501"
|
||||
y="40.908073"
|
||||
id="text1105"><tspan
|
||||
sodipodi:role="line"
|
||||
id="tspan1103"
|
||||
style="stroke-width:0.264583;fill:#000000"
|
||||
x="38.879501"
|
||||
y="40.908073">$\bot$</tspan></text>
|
||||
</g>
|
||||
<g
|
||||
id="g1218-3"
|
||||
transform="translate(127.41938,-12.502301)">
|
||||
<circle
|
||||
style="fill:#ffffff;stroke:#000000;stroke-width:1;stroke-dasharray:none;stroke-opacity:1"
|
||||
id="path111-5"
|
||||
cx="38.904896"
|
||||
cy="37.936272"
|
||||
r="13.474442" />
|
||||
<text
|
||||
xml:space="preserve"
|
||||
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
|
||||
x="38.879501"
|
||||
y="40.908073"
|
||||
id="text1105-6"><tspan
|
||||
sodipodi:role="line"
|
||||
id="tspan1103-2"
|
||||
style="stroke-width:0.264583;fill:#000000"
|
||||
x="38.879501"
|
||||
y="40.908073">$x$</tspan></text>
|
||||
</g>
|
||||
<path
|
||||
style="fill:none;stroke:#000000;stroke-width:1;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2)"
|
||||
d="M 44.289635,25.433971 H 145.90576"
|
||||
id="path1414"
|
||||
sodipodi:nodetypes="cc" />
|
||||
<text
|
||||
xml:space="preserve"
|
||||
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
|
||||
x="92.729836"
|
||||
y="21.781803"
|
||||
id="text2092"><tspan
|
||||
sodipodi:role="line"
|
||||
id="tspan2090"
|
||||
style="stroke-width:0.264583;fill:#000000"
|
||||
x="92.729836"
|
||||
y="21.781803">$propose(x) / x$</tspan></text>
|
||||
<text
|
||||
xml:space="preserve"
|
||||
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
|
||||
x="166.29887"
|
||||
y="69.89299"
|
||||
id="text2092-9"><tspan
|
||||
sodipodi:role="line"
|
||||
id="tspan2090-1"
|
||||
style="stroke-width:0.264583;fill:#000000"
|
||||
x="166.29887"
|
||||
y="69.89299">$propose(y) / x$</tspan></text>
|
||||
<path
|
||||
style="fill:none;stroke:#000000;stroke-width:1;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2)"
|
||||
d="m 155.82329,35.899857 c -8.35129,12.319651 0.54055,24.640898 11.72797,24.072085 8.65403,-0.440005 18.59818,-11.705963 11.8146,-20.570891"
|
||||
id="path2150"
|
||||
sodipodi:nodetypes="csc" />
|
||||
</g>
|
||||
</svg>
|
||||
|
After Width: | Height: | Size: 4.7 KiB |
301
doc/talks/2023-01-18-tocatta/assets/consistent_hashing_1.svg
Normal file
301
doc/talks/2023-01-18-tocatta/assets/consistent_hashing_1.svg
Normal file
File diff suppressed because one or more lines are too long
|
After Width: | Height: | Size: 53 KiB |
334
doc/talks/2023-01-18-tocatta/assets/consistent_hashing_2.svg
Normal file
334
doc/talks/2023-01-18-tocatta/assets/consistent_hashing_2.svg
Normal file
File diff suppressed because one or more lines are too long
|
After Width: | Height: | Size: 54 KiB |
358
doc/talks/2023-01-18-tocatta/assets/consistent_hashing_3.svg
Normal file
358
doc/talks/2023-01-18-tocatta/assets/consistent_hashing_3.svg
Normal file
File diff suppressed because one or more lines are too long
|
After Width: | Height: | Size: 56 KiB |
377
doc/talks/2023-01-18-tocatta/assets/consistent_hashing_4.svg
Normal file
377
doc/talks/2023-01-18-tocatta/assets/consistent_hashing_4.svg
Normal file
File diff suppressed because one or more lines are too long
|
After Width: | Height: | Size: 57 KiB |
91
doc/talks/2023-01-18-tocatta/assets/deuxfleurs.svg
Normal file
91
doc/talks/2023-01-18-tocatta/assets/deuxfleurs.svg
Normal file
|
|
@ -0,0 +1,91 @@
|
|||
<?xml version="1.0" encoding="UTF-8" standalone="no"?>
|
||||
<svg
|
||||
viewBox="0 0 70.424515 70.300102"
|
||||
version="1.1"
|
||||
id="svg8"
|
||||
sodipodi:docname="logo.svg"
|
||||
inkscape:version="1.1 (c68e22c387, 2021-05-23)"
|
||||
inkscape:export-filename="/home/quentin/Documents/dev/deuxfleurs/site/src/img/logo.png"
|
||||
inkscape:export-xdpi="699.30194"
|
||||
inkscape:export-ydpi="699.30194"
|
||||
width="70.424515"
|
||||
height="70.300102"
|
||||
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">
|
||||
<defs
|
||||
id="defs12" />
|
||||
<sodipodi:namedview
|
||||
id="namedview10"
|
||||
pagecolor="#ffffff"
|
||||
bordercolor="#666666"
|
||||
borderopacity="1.0"
|
||||
inkscape:pageshadow="2"
|
||||
inkscape:pageopacity="0.0"
|
||||
inkscape:pagecheckerboard="0"
|
||||
showgrid="false"
|
||||
inkscape:zoom="12.125"
|
||||
inkscape:cx="43.092783"
|
||||
inkscape:cy="48.082474"
|
||||
inkscape:window-width="3072"
|
||||
inkscape:window-height="1659"
|
||||
inkscape:window-x="0"
|
||||
inkscape:window-y="0"
|
||||
inkscape:window-maximized="1"
|
||||
inkscape:current-layer="svg8" />
|
||||
<g
|
||||
id="g79969"
|
||||
transform="translate(-0.827,34.992103)">
|
||||
<path
|
||||
fill="#ffffff"
|
||||
d="m 15.632,34.661 c -0.799,-0.597 -1.498,-1.484 -2.035,-2.592 l -0.228,-0.47 -0.46,0.249 c -0.975,0.528 -1.913,0.858 -2.744,0.969 L 9.963,29.061 6.327,30.029 C 6.17,29.175 6.202,28.142 6.423,27.007 L 6.526,26.482 5.994,26.416 C 4.752,26.262 3.688,25.891 2.89,25.336 L 4.411,22.419 1.423,20.896 C 1.742,19.952 2.371,19.014 3.257,18.161 L 3.634,17.798 3.255,17.438 C 2.452,16.674 1.847,15.884 1.485,15.127 L 4.995,13.774 2.95,10.615 C 3.69,10.213 4.643,9.929 5.739,9.783 L 6.258,9.715 6.167,9.201 C 5.952,7.99 5.995,6.863 6.291,5.913 l 3.308,0.523 0.524,-3.308 c 0.988,0.013 2.08,0.326 3.164,0.907 L 13.749,4.283 13.975,3.81 C 14.454,2.807 15.019,1.986 15.628,1.406 L 18,4.326 20.372,1.406 c 0.609,0.58 1.175,1.401 1.653,2.404 l 0.226,0.473 0.462,-0.247 C 23.798,3.455 24.891,3.142 25.877,3.13 L 26.4,6.438 29.71,5.913 c 0.296,0.951 0.34,2.078 0.124,3.288 l -0.092,0.515 0.518,0.069 c 1.095,0.145 2.048,0.43 2.788,0.832 l -2.046,3.156 3.511,1.355 c -0.361,0.757 -0.966,1.547 -1.77,2.311 l -0.379,0.36 0.377,0.363 c 0.888,0.854 1.516,1.793 1.835,2.736 l -2.984,1.52 1.521,2.984 c -0.812,0.574 -1.871,0.964 -3.094,1.134 l -0.518,0.072 0.096,0.514 c 0.201,1.089 0.226,2.083 0.073,2.909 l -3.634,-0.97 -0.204,3.757 c -0.83,-0.11 -1.768,-0.44 -2.742,-0.968 l -0.459,-0.249 -0.228,0.47 c -0.539,1.107 -1.237,1.994 -2.036,2.591 L 18,32.293 Z"
|
||||
id="path2" />
|
||||
<path
|
||||
d="M 7.092,10.678 C 6.562,9.189 6.394,7.708 6.66,6.478 l 2.368,0.375 0.987,0.156 0.157,-0.988 0.375,-2.368 C 11.808,3.78 13.16,4.396 14.409,5.359 14.527,5.022 14.653,4.696 14.791,4.392 13.24,3.257 11.568,2.629 10.061,2.629 9.938,2.629 9.816,2.633 9.695,2.642 L 9.184,5.865 5.96,5.354 C 5.36,6.841 5.395,8.769 6.045,10.747 6.38,10.71 6.729,10.686 7.092,10.678 Z M 21.593,5.359 c 1.248,-0.962 2.6,-1.578 3.86,-1.705 l 0.376,2.368 0.156,0.988 0.987,-0.157 2.369,-0.376 c 0.266,1.23 0.098,2.71 -0.432,4.2 0.361,0.009 0.711,0.032 1.046,0.07 C 30.606,8.769 30.64,6.841 30.04,5.353 L 26.815,5.865 26.304,2.641 c -0.12,-0.008 -0.242,-0.012 -0.365,-0.012 -1.507,0 -3.179,0.628 -4.73,1.762 0.14,0.306 0.266,0.631 0.384,0.968 z M 7.368,27 h 0.035 c 0.067,0 0.157,-0.604 0.26,-0.947 -0.098,0.004 -0.197,0.046 -0.294,0.046 -1.496,0 -2.826,-0.303 -3.83,-0.89 L 4.628,23.081 5.082,22.194 4.191,21.742 2.055,20.654 C 2.563,19.503 3.57,18.404 4.873,17.511 4.586,17.292 4.312,17.07 4.063,16.842 2.376,18.059 1.217,19.597 0.828,21.152 l 2.908,1.483 -1.482,2.843 C 3.475,26.501 5.303,27 7.368,27 Z m 27.806,-5.846 c -0.39,-1.555 -1.548,-3.093 -3.234,-4.311 -0.25,0.228 -0.523,0.451 -0.81,0.669 1.304,0.893 2.31,1.992 2.817,3.145 l -2.136,1.088 -0.891,0.453 0.454,0.892 1.089,2.137 c -1.004,0.587 -2.332,0.904 -3.828,0.904 -0.099,0 -0.199,-0.01 -0.299,-0.013 0.103,0.344 0.192,0.683 0.26,1.011 l 0.039,0.002 c 2.066,0 3.892,-0.563 5.112,-1.587 l -1.482,-2.908 z m -12.653,9.182 c -0.447,1.517 -1.181,2.812 -2.119,3.651 L 18.707,32.293 18,31.586 l -0.707,0.707 -1.695,1.694 c -0.938,-0.839 -1.673,-2.136 -2.12,-3.652 -0.296,0.206 -0.593,0.397 -0.886,0.563 0.636,1.98 1.741,3.559 3.1,4.409 L 18,33 l 2.308,2.308 c 1.358,-0.851 2.464,-2.428 3.101,-4.408 -0.295,-0.168 -0.591,-0.359 -0.888,-0.564 z"
|
||||
fill="#ea596e"
|
||||
id="path4" />
|
||||
<path
|
||||
fill="#ea596e"
|
||||
d="m 20.118,5.683 c 0.426,1.146 0.748,2.596 0.841,4.284 l 0.2,3.683 3.564,-0.946 c 1.32,-0.351 2.655,-0.536 3.86,-0.536 0.16,0 0.318,0.003 0.474,0.01 l -1.827,2.819 3.139,1.211 c -0.958,0.759 -2.237,1.514 -3.814,2.123 l -3.441,1.328 2.001,3.099 c 0.918,1.42 1.509,2.782 1.838,3.96 L 23.709,25.853 23.527,29.21 C 22.508,28.533 21.395,27.55 20.329,26.237 L 18,23.374 15.672,26.236 c -1.066,1.312 -2.179,2.295 -3.198,2.972 l -0.18,-3.354 -3.248,0.864 c 0.329,-1.178 0.921,-2.54 1.839,-3.961 L 12.889,19.658 9.447,18.33 C 7.87,17.721 6.591,16.967 5.633,16.208 L 8.768,15 6.941,12.177 c 0.155,-0.006 0.313,-0.01 0.473,-0.01 1.206,0 2.541,0.185 3.861,0.536 l 3.564,0.947 0.202,-3.683 c 0.092,-1.688 0.415,-3.138 0.84,-4.284 L 18,8.292 20.118,5.683 M 20.308,0.692 18,3.533 15.692,0.692 C 13.703,2.224 12.271,5.684 12.046,9.804 10.429,9.374 8.854,9.167 7.414,9.167 c -2.11,0 -3.929,0.445 -5.161,1.289 l 1.989,3.073 -3.415,1.316 c 0.842,2.366 3.69,4.797 7.54,6.283 -2.241,3.465 -3.116,7.106 -2.407,9.516 l 3.537,-0.941 0.196,3.654 c 2.512,-0.07 5.703,-2.027 8.307,-5.228 2.603,3.201 5.796,5.158 8.306,5.228 l 0.198,-3.655 3.535,0.943 c 0.71,-2.411 -0.165,-6.05 -2.404,-9.517 3.849,-1.485 6.696,-3.918 7.538,-6.283 l -3.415,-1.318 1.99,-3.07 c -1.233,-0.844 -3.053,-1.29 -5.164,-1.29 -1.438,0 -3.013,0.207 -4.63,0.636 C 23.729,5.684 22.297,2.224 20.308,0.692 Z"
|
||||
id="path6" />
|
||||
</g>
|
||||
<g
|
||||
id="g79964"
|
||||
transform="translate(-1.043816,35.993714)">
|
||||
<path
|
||||
fill="#ffffff"
|
||||
d="m 51.92633,-2.0247139 c -0.799,-0.597 -1.498,-1.484 -2.035,-2.592 l -0.228,-0.47 -0.46,0.249 c -0.975,0.528 -1.913,0.858 -2.744,0.969 l -0.202,-3.7560001 -3.636,0.968 c -0.157,-0.854 -0.125,-1.887 0.096,-3.022 l 0.103,-0.525 -0.532,-0.066 c -1.242,-0.154 -2.306,-0.525 -3.104,-1.08 l 1.521,-2.917 -2.988,-1.523 c 0.319,-0.944 0.948,-1.882 1.834,-2.735 l 0.377,-0.363 -0.379,-0.36 c -0.803,-0.764 -1.408,-1.554 -1.77,-2.311 l 3.51,-1.353 -2.045,-3.159 c 0.74,-0.402 1.693,-0.686 2.789,-0.832 l 0.519,-0.068 -0.091,-0.514 c -0.215,-1.211 -0.172,-2.338 0.124,-3.288 l 3.308,0.523 0.524,-3.308 c 0.988,0.013 2.08,0.326 3.164,0.907 l 0.462,0.248 0.226,-0.473 c 0.479,-1.003 1.044,-1.824 1.653,-2.404 l 2.372,2.92 2.372,-2.92 c 0.609,0.58 1.175,1.401 1.653,2.404 l 0.226,0.473 0.462,-0.247 c 1.085,-0.581 2.178,-0.894 3.164,-0.906 l 0.523,3.308 3.31,-0.525 c 0.296,0.951 0.34,2.078 0.124,3.288 l -0.092,0.515 0.518,0.069 c 1.095,0.145 2.048,0.43 2.788,0.832 l -2.046,3.156 3.511,1.355 c -0.361,0.757 -0.966,1.547 -1.77,2.311 l -0.379,0.36 0.377,0.363 c 0.888,0.854 1.516,1.793 1.835,2.736 l -2.984,1.52 1.521,2.984 c -0.812,0.574 -1.871,0.964 -3.094,1.134 l -0.518,0.072 0.096,0.514 c 0.201,1.089 0.226,2.083 0.073,2.909 l -3.634,-0.97 -0.204,3.7570001 c -0.83,-0.11 -1.768,-0.44 -2.742,-0.968 l -0.459,-0.249 -0.228,0.47 c -0.539,1.107 -1.237,1.994 -2.036,2.591 l -2.367,-2.369 z"
|
||||
id="path2-9" />
|
||||
<path
|
||||
d="m 43.38633,-26.007714 c -0.53,-1.489 -0.698,-2.97 -0.432,-4.2 l 2.368,0.375 0.987,0.156 0.157,-0.988 0.375,-2.368 c 1.261,0.127 2.613,0.743 3.862,1.706 0.118,-0.337 0.244,-0.663 0.382,-0.967 -1.551,-1.135 -3.223,-1.763 -4.73,-1.763 -0.123,0 -0.245,0.004 -0.366,0.013 l -0.511,3.223 -3.224,-0.511 c -0.6,1.487 -0.565,3.415 0.085,5.393 0.335,-0.037 0.684,-0.061 1.047,-0.069 z m 14.501,-5.319 c 1.248,-0.962 2.6,-1.578 3.86,-1.705 l 0.376,2.368 0.156,0.988 0.987,-0.157 2.369,-0.376 c 0.266,1.23 0.098,2.71 -0.432,4.2 0.361,0.009 0.711,0.032 1.046,0.07 0.651,-1.978 0.685,-3.906 0.085,-5.394 l -3.225,0.512 -0.511,-3.224 c -0.12,-0.008 -0.242,-0.012 -0.365,-0.012 -1.507,0 -3.179,0.628 -4.73,1.762 0.14,0.306 0.266,0.631 0.384,0.968 z m -14.225,21.641 h 0.035 c 0.067,0 0.157,-0.604 0.26,-0.947 -0.098,0.004 -0.197,0.046 -0.294,0.046 -1.496,0 -2.826,-0.303 -3.83,-0.89 l 1.089,-2.128 0.454,-0.887 -0.891,-0.452 -2.136,-1.088 c 0.508,-1.151 1.515,-2.25 2.818,-3.143 -0.287,-0.219 -0.561,-0.441 -0.81,-0.669 -1.687,1.217 -2.846,2.755 -3.235,4.31 l 2.908,1.483 -1.482,2.843 c 1.221,1.023 3.049,1.522 5.114,1.522 z m 27.806,-5.846 c -0.39,-1.555 -1.548,-3.093 -3.234,-4.311 -0.25,0.228 -0.523,0.451 -0.81,0.669 1.304,0.893 2.31,1.992 2.817,3.145 l -2.136,1.088 -0.891,0.453 0.454,0.892 1.089,2.137 c -1.004,0.587 -2.332,0.904 -3.828,0.904 -0.099,0 -0.199,-0.01 -0.299,-0.013 0.103,0.344 0.192,0.683 0.26,1.011 l 0.039,0.002 c 2.066,0 3.892,-0.563 5.112,-1.587 l -1.482,-2.908 z m -12.653,9.182 c -0.447,1.5170001 -1.181,2.8120001 -2.119,3.6510001 l -1.695,-1.694 -0.707,-0.707 -0.707,0.707 -1.695,1.694 c -0.938,-0.839 -1.673,-2.136 -2.12,-3.6520001 -0.296,0.2060001 -0.593,0.3970001 -0.886,0.5630001 0.636,1.98 1.741,3.559 3.1,4.409 l 2.308,-2.307 2.308,2.308 c 1.358,-0.851 2.464,-2.428 3.101,-4.408 -0.295,-0.168 -0.591,-0.359 -0.888,-0.5640001 z"
|
||||
fill="#ea596e"
|
||||
id="path4-3" />
|
||||
<path
|
||||
fill="#ea596e"
|
||||
d="m 56.41233,-31.002714 c 0.426,1.146 0.748,2.596 0.841,4.284 l 0.2,3.683 3.564,-0.946 c 1.32,-0.351 2.655,-0.536 3.86,-0.536 0.16,0 0.318,0.003 0.474,0.01 l -1.827,2.819 3.139,1.211 c -0.958,0.759 -2.237,1.514 -3.814,2.123 l -3.441,1.328 2.001,3.099 c 0.918,1.42 1.509,2.782 1.838,3.96 l -3.244,-0.865 -0.182,3.357 c -1.019,-0.677 -2.132,-1.66 -3.198,-2.973 l -2.329,-2.863 -2.328,2.862 c -1.066,1.312 -2.179,2.295 -3.198,2.972 l -0.18,-3.354 -3.248,0.864 c 0.329,-1.178 0.921,-2.54 1.839,-3.961 l 2.004,-3.099 -3.442,-1.328 c -1.577,-0.609 -2.856,-1.363 -3.814,-2.122 l 3.135,-1.208 -1.827,-2.823 c 0.155,-0.006 0.313,-0.01 0.473,-0.01 1.206,0 2.541,0.185 3.861,0.536 l 3.564,0.947 0.202,-3.683 c 0.092,-1.688 0.415,-3.138 0.84,-4.284 l 2.119,2.609 2.118,-2.609 m 0.19,-4.991 -2.308,2.841 -2.308,-2.841 c -1.989,1.532 -3.421,4.992 -3.646,9.112 -1.617,-0.43 -3.192,-0.637 -4.632,-0.637 -2.11,0 -3.929,0.445 -5.161,1.289 l 1.989,3.073 -3.415,1.316 c 0.842,2.366 3.69,4.797 7.54,6.283 -2.241,3.465 -3.116,7.106 -2.407,9.5160001 l 3.537,-0.9410001 0.196,3.6540001 c 2.512,-0.07 5.703,-2.027 8.307,-5.2280001 2.603,3.2010001 5.796,5.1580001 8.306,5.2280001 l 0.198,-3.6550001 3.535,0.9430001 c 0.71,-2.4110001 -0.165,-6.0500001 -2.404,-9.5170001 3.849,-1.485 6.696,-3.918 7.538,-6.283 l -3.415,-1.318 1.99,-3.07 c -1.233,-0.844 -3.053,-1.29 -5.164,-1.29 -1.438,0 -3.013,0.207 -4.63,0.636 -0.225,-4.119 -1.657,-7.579 -3.646,-9.111 z"
|
||||
id="path6-6" />
|
||||
</g>
|
||||
<text
|
||||
xml:space="preserve"
|
||||
style="font-style:normal;font-weight:normal;font-size:42.6667px;line-height:1.25;font-family:sans-serif;fill:#ea596e;fill-opacity:1;stroke:none"
|
||||
x="2.2188232"
|
||||
y="31.430677"
|
||||
id="text46212"><tspan
|
||||
sodipodi:role="line"
|
||||
id="tspan46210"
|
||||
x="2.2188232"
|
||||
y="31.430677"
|
||||
style="font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;font-size:42.6667px;font-family:'TeX Gyre Termes';-inkscape-font-specification:'TeX Gyre Termes'">D</tspan></text>
|
||||
<text
|
||||
xml:space="preserve"
|
||||
style="font-style:normal;font-weight:normal;font-size:42.6667px;line-height:1.25;font-family:sans-serif;fill:#ea596e;fill-opacity:1;stroke:none"
|
||||
x="41.347008"
|
||||
y="67.114784"
|
||||
id="text46212-1"><tspan
|
||||
sodipodi:role="line"
|
||||
id="tspan46210-5"
|
||||
x="41.347008"
|
||||
y="67.114784"
|
||||
style="font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;font-size:42.6667px;font-family:'TeX Gyre Termes';-inkscape-font-specification:'TeX Gyre Termes'">F</tspan></text>
|
||||
</svg>
|
||||
|
After Width: | Height: | Size: 12 KiB |
BIN
doc/talks/2023-01-18-tocatta/assets/endpoint-latency-dc.png
Normal file
BIN
doc/talks/2023-01-18-tocatta/assets/endpoint-latency-dc.png
Normal file
Binary file not shown.
|
After Width: | Height: | Size: 129 KiB |
BIN
doc/talks/2023-01-18-tocatta/assets/garage.drawio.pdf
Normal file
BIN
doc/talks/2023-01-18-tocatta/assets/garage.drawio.pdf
Normal file
Binary file not shown.
BIN
doc/talks/2023-01-18-tocatta/assets/garage.drawio.png
Normal file
BIN
doc/talks/2023-01-18-tocatta/assets/garage.drawio.png
Normal file
Binary file not shown.
|
After Width: | Height: | Size: 13 KiB |
BIN
doc/talks/2023-01-18-tocatta/assets/garage2.drawio.png
Normal file
BIN
doc/talks/2023-01-18-tocatta/assets/garage2.drawio.png
Normal file
Binary file not shown.
|
After Width: | Height: | Size: 88 KiB |
BIN
doc/talks/2023-01-18-tocatta/assets/garage2a.drawio.pdf
Normal file
BIN
doc/talks/2023-01-18-tocatta/assets/garage2a.drawio.pdf
Normal file
Binary file not shown.
BIN
doc/talks/2023-01-18-tocatta/assets/garage2b.drawio.pdf
Normal file
BIN
doc/talks/2023-01-18-tocatta/assets/garage2b.drawio.pdf
Normal file
Binary file not shown.
537
doc/talks/2023-01-18-tocatta/assets/garage_tables.svg
Normal file
537
doc/talks/2023-01-18-tocatta/assets/garage_tables.svg
Normal file
|
|
@ -0,0 +1,537 @@
|
|||
<?xml version="1.0" encoding="UTF-8" standalone="no"?>
|
||||
<svg
|
||||
width="850"
|
||||
height="480"
|
||||
viewBox="0 0 224.89584 127"
|
||||
version="1.1"
|
||||
id="svg8"
|
||||
inkscape:version="1.2 (dc2aedaf03, 2022-05-15)"
|
||||
sodipodi:docname="garage_tables.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"
|
||||
xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"
|
||||
xmlns:cc="http://creativecommons.org/ns#"
|
||||
xmlns:dc="http://purl.org/dc/elements/1.1/">
|
||||
<defs
|
||||
id="defs2">
|
||||
<marker
|
||||
style="overflow:visible"
|
||||
id="marker1262"
|
||||
refX="0"
|
||||
refY="0"
|
||||
orient="auto"
|
||||
inkscape:stockid="Arrow1Mend"
|
||||
inkscape:isstock="true">
|
||||
<path
|
||||
transform="matrix(-0.4,0,0,-0.4,-4,0)"
|
||||
style="fill:#000000;fill-opacity:1;fill-rule:evenodd;stroke:#000000;stroke-width:1pt;stroke-opacity:1"
|
||||
d="M 0,0 5,-5 -12.5,0 5,5 Z"
|
||||
id="path1260" />
|
||||
</marker>
|
||||
<marker
|
||||
style="overflow:visible"
|
||||
id="Arrow1Mend"
|
||||
refX="0"
|
||||
refY="0"
|
||||
orient="auto"
|
||||
inkscape:stockid="Arrow1Mend"
|
||||
inkscape:isstock="true"
|
||||
inkscape:collect="always">
|
||||
<path
|
||||
transform="matrix(-0.4,0,0,-0.4,-4,0)"
|
||||
style="fill:#000000;fill-opacity:1;fill-rule:evenodd;stroke:#000000;stroke-width:1pt;stroke-opacity:1"
|
||||
d="M 0,0 5,-5 -12.5,0 5,5 Z"
|
||||
id="path965" />
|
||||
</marker>
|
||||
<marker
|
||||
style="overflow:visible"
|
||||
id="Arrow1Lend"
|
||||
refX="0"
|
||||
refY="0"
|
||||
orient="auto"
|
||||
inkscape:stockid="Arrow1Lend"
|
||||
inkscape:isstock="true">
|
||||
<path
|
||||
transform="matrix(-0.8,0,0,-0.8,-10,0)"
|
||||
style="fill:#000000;fill-opacity:1;fill-rule:evenodd;stroke:#000000;stroke-width:1pt;stroke-opacity:1"
|
||||
d="M 0,0 5,-5 -12.5,0 5,5 Z"
|
||||
id="path959" />
|
||||
</marker>
|
||||
</defs>
|
||||
<sodipodi:namedview
|
||||
id="base"
|
||||
pagecolor="#ffffff"
|
||||
bordercolor="#666666"
|
||||
borderopacity="1.0"
|
||||
inkscape:pageopacity="0.0"
|
||||
inkscape:pageshadow="2"
|
||||
inkscape:zoom="0.98994949"
|
||||
inkscape:cx="429.31483"
|
||||
inkscape:cy="289.40871"
|
||||
inkscape:document-units="mm"
|
||||
inkscape:current-layer="layer1"
|
||||
inkscape:document-rotation="0"
|
||||
showgrid="false"
|
||||
units="px"
|
||||
inkscape:window-width="1678"
|
||||
inkscape:window-height="993"
|
||||
inkscape:window-x="0"
|
||||
inkscape:window-y="0"
|
||||
inkscape:window-maximized="1"
|
||||
inkscape:showpageshadow="2"
|
||||
inkscape:pagecheckerboard="0"
|
||||
inkscape:deskcolor="#d1d1d1" />
|
||||
<metadata
|
||||
id="metadata5">
|
||||
<rdf:RDF>
|
||||
<cc:Work
|
||||
rdf:about="">
|
||||
<dc:format>image/svg+xml</dc:format>
|
||||
<dc:type
|
||||
rdf:resource="http://purl.org/dc/dcmitype/StillImage" />
|
||||
<dc:title />
|
||||
</cc:Work>
|
||||
</rdf:RDF>
|
||||
</metadata>
|
||||
<g
|
||||
inkscape:label="Layer 1"
|
||||
inkscape:groupmode="layer"
|
||||
id="layer1">
|
||||
<text
|
||||
xml:space="preserve"
|
||||
style="font-style:normal;font-weight:normal;font-size:5.64444px;line-height:1.25;font-family:sans-serif;fill:#000000;fill-opacity:1;stroke:none;stroke-width:0.264583"
|
||||
x="39.570904"
|
||||
y="38.452755"
|
||||
id="text2025"><tspan
|
||||
sodipodi:role="line"
|
||||
id="tspan2023"
|
||||
x="39.570904"
|
||||
y="38.452755"
|
||||
style="font-size:5.64444px;stroke-width:0.264583" /></text>
|
||||
<text
|
||||
xml:space="preserve"
|
||||
style="font-style:normal;font-weight:normal;font-size:10.5833px;line-height:1.25;font-family:sans-serif;fill:#000000;fill-opacity:1;stroke:none;stroke-width:0.264583"
|
||||
x="101.95796"
|
||||
y="92.835831"
|
||||
id="text2139"><tspan
|
||||
sodipodi:role="line"
|
||||
id="tspan2137"
|
||||
x="101.95796"
|
||||
y="92.835831"
|
||||
style="stroke-width:0.264583"> </tspan></text>
|
||||
<g
|
||||
id="g2316"
|
||||
transform="translate(-11.455511,1.5722486)">
|
||||
<g
|
||||
id="g2277">
|
||||
<rect
|
||||
style="fill:none;stroke:#000000;stroke-width:0.8;stroke-miterlimit:4;stroke-dasharray:none;stroke-dashoffset:0;stroke-opacity:1"
|
||||
id="rect833"
|
||||
width="47.419891"
|
||||
height="95.353409"
|
||||
x="18.534418"
|
||||
y="24.42766" />
|
||||
<rect
|
||||
style="fill:none;stroke:#000000;stroke-width:0.799999;stroke-miterlimit:4;stroke-dasharray:none;stroke-dashoffset:0;stroke-opacity:1"
|
||||
id="rect833-3"
|
||||
width="47.419891"
|
||||
height="86.973076"
|
||||
x="18.534418"
|
||||
y="32.807987" />
|
||||
<text
|
||||
xml:space="preserve"
|
||||
style="font-style:normal;font-weight:normal;font-size:5.64444px;line-height:1.25;font-family:sans-serif;fill:#000000;fill-opacity:1;stroke:none;stroke-width:0.264583"
|
||||
x="32.250839"
|
||||
y="29.894743"
|
||||
id="text852"><tspan
|
||||
sodipodi:role="line"
|
||||
id="tspan850"
|
||||
x="32.250839"
|
||||
y="29.894743"
|
||||
style="font-style:normal;font-variant:normal;font-weight:bold;font-stretch:normal;font-size:5.64444px;font-family:'Liberation Mono';-inkscape-font-specification:'Liberation Mono Bold';stroke-width:0.264583">Object</tspan></text>
|
||||
</g>
|
||||
<g
|
||||
id="g2066"
|
||||
transform="translate(-2.1807817,-3.0621439)">
|
||||
<g
|
||||
id="g1969"
|
||||
transform="matrix(0.12763631,0,0,0.12763631,0.7215051,24.717273)"
|
||||
style="fill:#ff6600;fill-opacity:1;stroke:none;stroke-opacity:1">
|
||||
<path
|
||||
style="fill:#ff6600;fill-opacity:1;stroke:none;stroke-width:0.264583;stroke-opacity:1"
|
||||
d="m 203.71837,154.80038 c -1.11451,3.75057 -2.45288,5.84095 -5.11132,7.98327 -2.2735,1.83211 -4.66721,2.65982 -8.09339,2.79857 -2.59227,0.10498 -2.92868,0.0577 -5.02863,-0.70611 -3.99215,-1.45212 -7.1627,-4.65496 -8.48408,-8.57046 -1.28374,-3.80398 -0.61478,-8.68216 1.64793,-12.01698 0.87317,-1.28689 3.15089,-3.48326 4.18771,-4.03815 l 0.53332,-28.51234 5.78454,-5.09197 6.95158,6.16704 -3.21112,3.49026 3.17616,3.45499 -3.17616,3.40822 2.98973,3.28645 -3.24843,3.3829 4.49203,4.58395 0.0516,5.69106 c 1.06874,0.64848 3.81974,3.24046 4.69548,4.56257 0.452,0.68241 1.06834,2.0197 1.36962,2.97176 0.62932,1.98864 0.88051,5.785 0.47342,7.15497 z m -10.0406,2.32604 c -0.88184,-3.17515 -4.92402,-3.78864 -6.75297,-1.02492 -0.58328,0.8814 -0.6898,1.28852 -0.58362,2.23056 0.26492,2.35041 2.45434,3.95262 4.60856,3.37255 1.19644,-0.32217 2.39435,-1.44872 2.72875,-2.56621 0.30682,-1.02529 0.30686,-0.9045 -7.9e-4,-2.01198 z"
|
||||
id="path1971"
|
||||
sodipodi:nodetypes="ssscsscccccccccccssscsssscc" />
|
||||
</g>
|
||||
<text
|
||||
xml:space="preserve"
|
||||
style="font-style:normal;font-weight:normal;font-size:5.64444px;line-height:1.25;font-family:sans-serif;fill:#000000;fill-opacity:1;stroke:none;stroke-width:0.264583"
|
||||
x="28.809687"
|
||||
y="44.070885"
|
||||
id="text852-9"><tspan
|
||||
sodipodi:role="line"
|
||||
id="tspan850-4"
|
||||
x="28.809687"
|
||||
y="44.070885"
|
||||
style="font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;font-size:5.64444px;font-family:'Liberation Mono';-inkscape-font-specification:'Liberation Mono Bold';stroke-width:0.264583">bucket </tspan></text>
|
||||
</g>
|
||||
<g
|
||||
id="g2066-7"
|
||||
transform="translate(-2.1807817,6.2627616)">
|
||||
<g
|
||||
id="g1969-8"
|
||||
transform="matrix(0.12763631,0,0,0.12763631,0.7215051,24.717273)"
|
||||
style="fill:#ff6600;fill-opacity:1;stroke:none;stroke-opacity:1">
|
||||
<path
|
||||
style="fill:#4040ff;fill-opacity:1;stroke:none;stroke-width:0.264583;stroke-opacity:1"
|
||||
d="m 203.71837,154.80038 c -1.11451,3.75057 -2.45288,5.84095 -5.11132,7.98327 -2.2735,1.83211 -4.66721,2.65982 -8.09339,2.79857 -2.59227,0.10498 -2.92868,0.0577 -5.02863,-0.70611 -3.99215,-1.45212 -7.1627,-4.65496 -8.48408,-8.57046 -1.28374,-3.80398 -0.61478,-8.68216 1.64793,-12.01698 0.87317,-1.28689 3.15089,-3.48326 4.18771,-4.03815 l 0.53332,-28.51234 5.78454,-5.09197 6.95158,6.16704 -3.21112,3.49026 3.17616,3.45499 -3.17616,3.40822 2.98973,3.28645 -3.24843,3.3829 4.49203,4.58395 0.0516,5.69106 c 1.06874,0.64848 3.81974,3.24046 4.69548,4.56257 0.452,0.68241 1.06834,2.0197 1.36962,2.97176 0.62932,1.98864 0.88051,5.785 0.47342,7.15497 z m -10.0406,2.32604 c -0.88184,-3.17515 -4.92402,-3.78864 -6.75297,-1.02492 -0.58328,0.8814 -0.6898,1.28852 -0.58362,2.23056 0.26492,2.35041 2.45434,3.95262 4.60856,3.37255 1.19644,-0.32217 2.39435,-1.44872 2.72875,-2.56621 0.30682,-1.02529 0.30686,-0.9045 -7.9e-4,-2.01198 z"
|
||||
id="path1971-4"
|
||||
sodipodi:nodetypes="ssscsscccccccccccssscsssscc" />
|
||||
</g>
|
||||
<text
|
||||
xml:space="preserve"
|
||||
style="font-style:normal;font-weight:normal;font-size:5.64444px;line-height:1.25;font-family:sans-serif;fill:#000000;fill-opacity:1;stroke:none;stroke-width:0.264583"
|
||||
x="28.809687"
|
||||
y="44.070885"
|
||||
id="text852-9-5"><tspan
|
||||
sodipodi:role="line"
|
||||
id="tspan850-4-0"
|
||||
x="28.809687"
|
||||
y="44.070885"
|
||||
style="font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;font-size:5.64444px;font-family:'Liberation Mono';-inkscape-font-specification:'Liberation Mono Bold';stroke-width:0.264583">file path </tspan></text>
|
||||
<path
|
||||
style="fill:#ff6600;fill-opacity:1;stroke:none;stroke-width:0.0337704;stroke-opacity:1"
|
||||
d="m 174.20027,104.45585 c -0.14225,0.47871 -0.31308,0.74552 -0.65239,1.01896 -0.29018,0.23384 -0.5957,0.33949 -1.03301,0.3572 -0.33087,0.0134 -0.37381,0.007 -0.64184,-0.0901 -0.50954,-0.18534 -0.91422,-0.59414 -1.08287,-1.0939 -0.16385,-0.48552 -0.0785,-1.10816 0.21033,-1.5338 0.11145,-0.16426 0.40217,-0.44459 0.53451,-0.51542 l 0.0681,-3.639207 0.73832,-0.64992 0.88727,0.787138 -0.40986,0.445484 0.4054,0.440982 -0.4054,0.435013 0.3816,0.41947 -0.41461,0.43178 0.57334,0.58508 0.007,0.72639 c 0.13641,0.0828 0.48753,0.4136 0.59931,0.58235 0.0577,0.0871 0.13636,0.25778 0.17481,0.3793 0.0803,0.25382 0.11239,0.73838 0.0604,0.91323 z m -1.28154,0.29689 c -0.11256,-0.40526 -0.62849,-0.48357 -0.86193,-0.13082 -0.0745,0.1125 -0.088,0.16447 -0.0745,0.2847 0.0338,0.3 0.31326,0.5045 0.58822,0.43046 0.15271,-0.0411 0.30561,-0.1849 0.34829,-0.32754 0.0392,-0.13086 0.0392,-0.11544 -1e-4,-0.2568 z"
|
||||
id="path1971-3"
|
||||
sodipodi:nodetypes="ssscsscccccccccccssscsssscc" />
|
||||
<text
|
||||
xml:space="preserve"
|
||||
style="font-style:normal;font-weight:normal;font-size:5.64444px;line-height:1.25;font-family:sans-serif;fill:#000000;fill-opacity:1;stroke:none;stroke-width:0.264583"
|
||||
x="177.8474"
|
||||
y="104.05132"
|
||||
id="text852-9-6"><tspan
|
||||
sodipodi:role="line"
|
||||
id="tspan850-4-7"
|
||||
x="177.8474"
|
||||
y="104.05132"
|
||||
style="font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;font-size:5.64444px;font-family:'Liberation Mono';-inkscape-font-specification:'Liberation Mono Bold';stroke-width:0.264583">= partition key </tspan></text>
|
||||
<path
|
||||
style="fill:#4040ff;fill-opacity:1;stroke:none;stroke-width:0.0337704;stroke-opacity:1"
|
||||
d="m 174.20027,113.78076 c -0.14225,0.47871 -0.31308,0.74552 -0.65239,1.01895 -0.29018,0.23385 -0.5957,0.33949 -1.03301,0.3572 -0.33087,0.0134 -0.37381,0.007 -0.64184,-0.0901 -0.50954,-0.18534 -0.91422,-0.59414 -1.08287,-1.0939 -0.16385,-0.48553 -0.0785,-1.10816 0.21033,-1.53381 0.11145,-0.16425 0.40217,-0.44459 0.53451,-0.51541 l 0.0681,-3.63921 0.73832,-0.64992 0.88727,0.78714 -0.40986,0.44548 0.4054,0.44098 -0.4054,0.43502 0.3816,0.41947 -0.41461,0.43178 0.57334,0.58508 0.007,0.72638 c 0.13641,0.0828 0.48753,0.4136 0.59931,0.58235 0.0577,0.0871 0.13636,0.25779 0.17481,0.37931 0.0803,0.25382 0.11239,0.73837 0.0604,0.91323 z m -1.28154,0.29689 c -0.11256,-0.40527 -0.62849,-0.48357 -0.86193,-0.13082 -0.0745,0.1125 -0.088,0.16446 -0.0745,0.2847 0.0338,0.3 0.31326,0.5045 0.58822,0.43046 0.15271,-0.0411 0.30561,-0.18491 0.34829,-0.32754 0.0392,-0.13087 0.0392,-0.11545 -1e-4,-0.2568 z"
|
||||
id="path1971-4-5"
|
||||
sodipodi:nodetypes="ssscsscccccccccccssscsssscc" />
|
||||
<text
|
||||
xml:space="preserve"
|
||||
style="font-style:normal;font-weight:normal;font-size:5.64444px;line-height:1.25;font-family:sans-serif;fill:#000000;fill-opacity:1;stroke:none;stroke-width:0.264583"
|
||||
x="177.8474"
|
||||
y="113.37622"
|
||||
id="text852-9-5-3"><tspan
|
||||
sodipodi:role="line"
|
||||
id="tspan850-4-0-5"
|
||||
x="177.8474"
|
||||
y="113.37622"
|
||||
style="font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;font-size:5.64444px;font-family:'Liberation Mono';-inkscape-font-specification:'Liberation Mono Bold';stroke-width:0.264583">= sort key </tspan></text>
|
||||
</g>
|
||||
<g
|
||||
id="g2161"
|
||||
transform="translate(-62.264403,-59.333115)">
|
||||
<g
|
||||
id="g2271"
|
||||
transform="translate(0,67.042823)">
|
||||
<rect
|
||||
style="fill:none;stroke:#000000;stroke-width:0.799999;stroke-miterlimit:4;stroke-dasharray:none;stroke-dashoffset:0;stroke-opacity:1"
|
||||
id="rect833-6"
|
||||
width="39.008453"
|
||||
height="16.775949"
|
||||
x="84.896881"
|
||||
y="90.266838" />
|
||||
<rect
|
||||
style="fill:none;stroke:#000000;stroke-width:0.799999;stroke-miterlimit:4;stroke-dasharray:none;stroke-dashoffset:0;stroke-opacity:1"
|
||||
id="rect833-3-1"
|
||||
width="39.008453"
|
||||
height="8.673645"
|
||||
x="84.896881"
|
||||
y="98.369141" />
|
||||
<text
|
||||
xml:space="preserve"
|
||||
style="font-style:normal;font-weight:normal;font-size:5.64444px;line-height:1.25;font-family:sans-serif;fill:#000000;fill-opacity:1;stroke:none;stroke-width:0.264583"
|
||||
x="89.826942"
|
||||
y="96.212921"
|
||||
id="text852-0"><tspan
|
||||
sodipodi:role="line"
|
||||
id="tspan850-6"
|
||||
x="89.826942"
|
||||
y="96.212921"
|
||||
style="font-style:normal;font-variant:normal;font-weight:bold;font-stretch:normal;font-size:5.64444px;font-family:'Liberation Mono';-inkscape-font-specification:'Liberation Mono Bold';stroke-width:0.264583">Version 1</tspan></text>
|
||||
<text
|
||||
xml:space="preserve"
|
||||
style="font-style:normal;font-weight:normal;font-size:5.64444px;line-height:1.25;font-family:sans-serif;fill:#000000;fill-opacity:1;stroke:none;stroke-width:0.264583"
|
||||
x="89.826942"
|
||||
y="104.71013"
|
||||
id="text852-0-3"><tspan
|
||||
sodipodi:role="line"
|
||||
id="tspan850-6-2"
|
||||
x="89.826942"
|
||||
y="104.71013"
|
||||
style="font-style:italic;font-variant:normal;font-weight:normal;font-stretch:normal;font-size:5.64444px;font-family:'Liberation Mono';-inkscape-font-specification:'Liberation Mono Bold';fill:#4d4d4d;stroke-width:0.264583">deleted</tspan></text>
|
||||
</g>
|
||||
</g>
|
||||
<g
|
||||
id="g2263"
|
||||
transform="translate(0,-22.791204)">
|
||||
<g
|
||||
id="g2161-1"
|
||||
transform="translate(-62.264403,-10.910843)">
|
||||
<rect
|
||||
style="fill:none;stroke:#000000;stroke-width:0.799999;stroke-miterlimit:4;stroke-dasharray:none;stroke-dashoffset:0;stroke-opacity:1"
|
||||
id="rect833-6-5"
|
||||
width="39.008453"
|
||||
height="36.749603"
|
||||
x="84.896881"
|
||||
y="90.266838" />
|
||||
<rect
|
||||
style="fill:none;stroke:#000000;stroke-width:0.799999;stroke-miterlimit:4;stroke-dasharray:none;stroke-dashoffset:0;stroke-opacity:1"
|
||||
id="rect833-3-1-5"
|
||||
width="39.008453"
|
||||
height="28.647301"
|
||||
x="84.896881"
|
||||
y="98.369141" />
|
||||
<text
|
||||
xml:space="preserve"
|
||||
style="font-style:normal;font-weight:normal;font-size:5.64444px;line-height:1.25;font-family:sans-serif;fill:#000000;fill-opacity:1;stroke:none;stroke-width:0.264583"
|
||||
x="89.826942"
|
||||
y="96.212921"
|
||||
id="text852-0-4"><tspan
|
||||
sodipodi:role="line"
|
||||
id="tspan850-6-7"
|
||||
x="89.826942"
|
||||
y="96.212921"
|
||||
style="font-style:normal;font-variant:normal;font-weight:bold;font-stretch:normal;font-size:5.64444px;font-family:'Liberation Mono';-inkscape-font-specification:'Liberation Mono Bold';stroke-width:0.264583">Version 2</tspan></text>
|
||||
<text
|
||||
xml:space="preserve"
|
||||
style="font-style:normal;font-weight:normal;font-size:5.64444px;line-height:1.25;font-family:sans-serif;fill:#000000;fill-opacity:1;stroke:none;stroke-width:0.264583"
|
||||
x="89.826942"
|
||||
y="104.71013"
|
||||
id="text852-0-3-6"><tspan
|
||||
sodipodi:role="line"
|
||||
id="tspan850-6-2-5"
|
||||
x="89.826942"
|
||||
y="104.71013"
|
||||
style="font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;font-size:5.64444px;font-family:'Liberation Mono';-inkscape-font-specification:'Liberation Mono Bold';fill:#000000;stroke-width:0.264583">id</tspan></text>
|
||||
</g>
|
||||
<text
|
||||
xml:space="preserve"
|
||||
style="font-style:normal;font-weight:normal;font-size:5.64444px;line-height:1.25;font-family:sans-serif;fill:#000000;fill-opacity:1;stroke:none;stroke-width:0.264583"
|
||||
x="27.56254"
|
||||
y="100.34132"
|
||||
id="text852-0-3-6-6"><tspan
|
||||
sodipodi:role="line"
|
||||
id="tspan850-6-2-5-9"
|
||||
x="27.56254"
|
||||
y="100.34132"
|
||||
style="font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;font-size:5.64444px;font-family:'Liberation Mono';-inkscape-font-specification:'Liberation Mono Bold';fill:#000000;stroke-width:0.264583">size</tspan></text>
|
||||
<text
|
||||
xml:space="preserve"
|
||||
style="font-style:normal;font-weight:normal;font-size:5.64444px;line-height:1.25;font-family:sans-serif;fill:#000000;fill-opacity:1;stroke:none;stroke-width:0.264583"
|
||||
x="27.56254"
|
||||
y="106.90263"
|
||||
id="text852-0-3-6-6-3"><tspan
|
||||
sodipodi:role="line"
|
||||
id="tspan850-6-2-5-9-7"
|
||||
x="27.56254"
|
||||
y="106.90263"
|
||||
style="font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;font-size:5.64444px;font-family:'Liberation Mono';-inkscape-font-specification:'Liberation Mono Bold';fill:#000000;stroke-width:0.264583">MIME type</tspan></text>
|
||||
<text
|
||||
xml:space="preserve"
|
||||
style="font-style:normal;font-weight:normal;font-size:5.64444px;line-height:1.25;font-family:sans-serif;fill:#000000;fill-opacity:1;stroke:none;stroke-width:0.264583"
|
||||
x="27.56254"
|
||||
y="111.92816"
|
||||
id="text852-0-3-6-6-3-4"><tspan
|
||||
sodipodi:role="line"
|
||||
id="tspan850-6-2-5-9-7-5"
|
||||
x="27.56254"
|
||||
y="111.92816"
|
||||
style="font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;font-size:5.64444px;font-family:'Liberation Mono';-inkscape-font-specification:'Liberation Mono Bold';fill:#000000;stroke-width:0.264583">...</tspan></text>
|
||||
</g>
|
||||
</g>
|
||||
<g
|
||||
id="g898"
|
||||
transform="translate(-6.2484318,29.95006)">
|
||||
<rect
|
||||
style="fill:none;stroke:#000000;stroke-width:0.799999;stroke-miterlimit:4;stroke-dasharray:none;stroke-dashoffset:0;stroke-opacity:1"
|
||||
id="rect833-7"
|
||||
width="47.419891"
|
||||
height="44.007515"
|
||||
x="95.443573"
|
||||
y="24.42766" />
|
||||
<rect
|
||||
style="fill:none;stroke:#000000;stroke-width:0.799999;stroke-miterlimit:4;stroke-dasharray:none;stroke-dashoffset:0;stroke-opacity:1"
|
||||
id="rect833-3-4"
|
||||
width="47.419891"
|
||||
height="35.627186"
|
||||
x="95.443573"
|
||||
y="32.807987" />
|
||||
<text
|
||||
xml:space="preserve"
|
||||
style="font-style:normal;font-weight:normal;font-size:5.64444px;line-height:1.25;font-family:sans-serif;fill:#000000;fill-opacity:1;stroke:none;stroke-width:0.264583"
|
||||
x="107.46638"
|
||||
y="29.894743"
|
||||
id="text852-4"><tspan
|
||||
sodipodi:role="line"
|
||||
id="tspan850-3"
|
||||
x="107.46638"
|
||||
y="29.894743"
|
||||
style="font-style:normal;font-variant:normal;font-weight:bold;font-stretch:normal;font-size:5.64444px;font-family:'Liberation Mono';-inkscape-font-specification:'Liberation Mono Bold';stroke-width:0.264583">Version</tspan></text>
|
||||
<path
|
||||
style="fill:#ff6600;fill-opacity:1;stroke:none;stroke-width:0.0337704;stroke-opacity:1"
|
||||
d="m 102.90563,41.413279 c -0.14226,0.478709 -0.31308,0.745518 -0.65239,1.018956 -0.29019,0.233843 -0.59571,0.339489 -1.03301,0.357199 -0.33087,0.0134 -0.37381,0.0074 -0.64184,-0.09013 -0.50954,-0.185343 -0.914221,-0.594142 -1.082877,-1.093901 -0.163852,-0.485526 -0.07847,-1.108159 0.210335,-1.533803 0.111448,-0.164254 0.402172,-0.444591 0.534502,-0.515415 l 0.0681,-3.63921 0.73832,-0.64992 0.88727,0.787138 -0.40985,0.445484 0.40539,0.440982 -0.40539,0.435013 0.3816,0.41947 -0.41462,0.431781 0.57335,0.585078 0.007,0.726386 c 0.13641,0.08277 0.48753,0.413601 0.59931,0.58235 0.0577,0.0871 0.13636,0.257787 0.17481,0.379304 0.0803,0.253823 0.11239,0.738377 0.0604,0.913234 z m -1.28155,0.296888 c -0.11255,-0.405265 -0.62848,-0.483569 -0.86192,-0.130817 -0.0744,0.112498 -0.088,0.164461 -0.0745,0.2847 0.0338,0.299998 0.31326,0.504498 0.58822,0.43046 0.15271,-0.04112 0.3056,-0.184909 0.34828,-0.327542 0.0392,-0.130864 0.0392,-0.115447 -1e-4,-0.256801 z"
|
||||
id="path1971-0"
|
||||
sodipodi:nodetypes="ssscsscccccccccccssscsssscc" />
|
||||
<text
|
||||
xml:space="preserve"
|
||||
style="font-style:normal;font-weight:normal;font-size:5.64444px;line-height:1.25;font-family:sans-serif;fill:#000000;fill-opacity:1;stroke:none;stroke-width:0.264583"
|
||||
x="104.99195"
|
||||
y="41.008743"
|
||||
id="text852-9-7"><tspan
|
||||
sodipodi:role="line"
|
||||
id="tspan850-4-8"
|
||||
x="104.99195"
|
||||
y="41.008743"
|
||||
style="font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;font-size:5.64444px;font-family:'Liberation Mono';-inkscape-font-specification:'Liberation Mono Bold';stroke-width:0.264583">id </tspan></text>
|
||||
<text
|
||||
xml:space="preserve"
|
||||
style="font-style:normal;font-weight:normal;font-size:5.64444px;line-height:1.25;font-family:sans-serif;fill:#000000;fill-opacity:1;stroke:none;stroke-width:0.264583"
|
||||
x="104.99195"
|
||||
y="49.168018"
|
||||
id="text852-9-7-6"><tspan
|
||||
sodipodi:role="line"
|
||||
id="tspan850-4-8-8"
|
||||
x="104.99195"
|
||||
y="49.168018"
|
||||
style="font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;font-size:5.64444px;font-family:'Liberation Mono';-inkscape-font-specification:'Liberation Mono Bold';stroke-width:0.264583">h(block 1)</tspan></text>
|
||||
<text
|
||||
xml:space="preserve"
|
||||
style="font-style:normal;font-weight:normal;font-size:5.64444px;line-height:1.25;font-family:sans-serif;fill:#000000;fill-opacity:1;stroke:none;stroke-width:0.264583"
|
||||
x="104.99195"
|
||||
y="56.583336"
|
||||
id="text852-9-7-6-8"><tspan
|
||||
sodipodi:role="line"
|
||||
id="tspan850-4-8-8-4"
|
||||
x="104.99195"
|
||||
y="56.583336"
|
||||
style="font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;font-size:5.64444px;font-family:'Liberation Mono';-inkscape-font-specification:'Liberation Mono Bold';stroke-width:0.264583">h(block 2)</tspan></text>
|
||||
<text
|
||||
xml:space="preserve"
|
||||
style="font-style:normal;font-weight:normal;font-size:5.64444px;line-height:1.25;font-family:sans-serif;fill:#000000;fill-opacity:1;stroke:none;stroke-width:0.264583"
|
||||
x="104.99195"
|
||||
y="64.265732"
|
||||
id="text852-9-7-6-3"><tspan
|
||||
sodipodi:role="line"
|
||||
id="tspan850-4-8-8-1"
|
||||
x="104.99195"
|
||||
y="64.265732"
|
||||
style="font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;font-size:5.64444px;font-family:'Liberation Mono';-inkscape-font-specification:'Liberation Mono Bold';stroke-width:0.264583">...</tspan></text>
|
||||
</g>
|
||||
<g
|
||||
id="g898-3"
|
||||
transform="translate(75.777779,38.888663)">
|
||||
<rect
|
||||
style="fill:none;stroke:#000000;stroke-width:0.799999;stroke-miterlimit:4;stroke-dasharray:none;stroke-dashoffset:0;stroke-opacity:1"
|
||||
id="rect833-7-6"
|
||||
width="47.419891"
|
||||
height="29.989157"
|
||||
x="95.443573"
|
||||
y="24.42766" />
|
||||
<rect
|
||||
style="fill:none;stroke:#000000;stroke-width:0.799999;stroke-miterlimit:4;stroke-dasharray:none;stroke-dashoffset:0;stroke-opacity:1"
|
||||
id="rect833-3-4-7"
|
||||
width="47.419891"
|
||||
height="21.608831"
|
||||
x="95.443573"
|
||||
y="32.807987" />
|
||||
<text
|
||||
xml:space="preserve"
|
||||
style="font-style:normal;font-weight:normal;font-size:5.64444px;line-height:1.25;font-family:sans-serif;fill:#000000;fill-opacity:1;stroke:none;stroke-width:0.264583"
|
||||
x="102.11134"
|
||||
y="29.894743"
|
||||
id="text852-4-5"><tspan
|
||||
sodipodi:role="line"
|
||||
id="tspan850-3-3"
|
||||
x="102.11134"
|
||||
y="29.894743"
|
||||
style="font-style:normal;font-variant:normal;font-weight:bold;font-stretch:normal;font-size:5.64444px;font-family:'Liberation Mono';-inkscape-font-specification:'Liberation Mono Bold';stroke-width:0.264583">Data block</tspan></text>
|
||||
<path
|
||||
style="fill:#ff6600;fill-opacity:1;stroke:none;stroke-width:0.0337704;stroke-opacity:1"
|
||||
d="m 102.90563,41.413279 c -0.14226,0.478709 -0.31308,0.745518 -0.65239,1.018956 -0.29019,0.233843 -0.59571,0.339489 -1.03301,0.357199 -0.33087,0.0134 -0.37381,0.0074 -0.64184,-0.09013 -0.50954,-0.185343 -0.914221,-0.594142 -1.082877,-1.093901 -0.163852,-0.485526 -0.07847,-1.108159 0.210335,-1.533803 0.111448,-0.164254 0.402172,-0.444591 0.534502,-0.515415 l 0.0681,-3.63921 0.73832,-0.64992 0.88727,0.787138 -0.40985,0.445484 0.40539,0.440982 -0.40539,0.435013 0.3816,0.41947 -0.41462,0.431781 0.57335,0.585078 0.007,0.726386 c 0.13641,0.08277 0.48753,0.413601 0.59931,0.58235 0.0577,0.0871 0.13636,0.257787 0.17481,0.379304 0.0803,0.253823 0.11239,0.738377 0.0604,0.913234 z m -1.28155,0.296888 c -0.11255,-0.405265 -0.62848,-0.483569 -0.86192,-0.130817 -0.0744,0.112498 -0.088,0.164461 -0.0745,0.2847 0.0338,0.299998 0.31326,0.504498 0.58822,0.43046 0.15271,-0.04112 0.3056,-0.184909 0.34828,-0.327542 0.0392,-0.130864 0.0392,-0.115447 -1e-4,-0.256801 z"
|
||||
id="path1971-0-5"
|
||||
sodipodi:nodetypes="ssscsscccccccccccssscsssscc" />
|
||||
<text
|
||||
xml:space="preserve"
|
||||
style="font-style:normal;font-weight:normal;font-size:5.64444px;line-height:1.25;font-family:sans-serif;fill:#000000;fill-opacity:1;stroke:none;stroke-width:0.264583"
|
||||
x="104.99195"
|
||||
y="41.008743"
|
||||
id="text852-9-7-62"><tspan
|
||||
sodipodi:role="line"
|
||||
id="tspan850-4-8-9"
|
||||
x="104.99195"
|
||||
y="41.008743"
|
||||
style="font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;font-size:5.64444px;font-family:'Liberation Mono';-inkscape-font-specification:'Liberation Mono Bold';stroke-width:0.264583">hash </tspan></text>
|
||||
<text
|
||||
xml:space="preserve"
|
||||
style="font-style:normal;font-weight:normal;font-size:5.64444px;line-height:1.25;font-family:sans-serif;fill:#000000;fill-opacity:1;stroke:none;stroke-width:0.264583"
|
||||
x="104.99195"
|
||||
y="49.168018"
|
||||
id="text852-9-7-6-1"><tspan
|
||||
sodipodi:role="line"
|
||||
id="tspan850-4-8-8-2"
|
||||
x="104.99195"
|
||||
y="49.168018"
|
||||
style="font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;font-size:5.64444px;font-family:'Liberation Mono';-inkscape-font-specification:'Liberation Mono Bold';stroke-width:0.264583">data</tspan></text>
|
||||
</g>
|
||||
<path
|
||||
style="fill:none;stroke:#000000;stroke-width:1;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:4;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow1Mend)"
|
||||
d="M 42.105292,69.455903 89.563703,69.317144"
|
||||
id="path954"
|
||||
sodipodi:nodetypes="cc" />
|
||||
<path
|
||||
style="fill:none;stroke:#000000;stroke-width:1;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:4;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#marker1262)"
|
||||
d="m 134.32612,77.363197 38.12618,0.260865"
|
||||
id="path1258"
|
||||
sodipodi:nodetypes="cc" />
|
||||
<text
|
||||
xml:space="preserve"
|
||||
style="font-style:normal;font-weight:normal;font-size:5.64444px;line-height:1.25;font-family:sans-serif;fill:#000000;fill-opacity:1;stroke:none;stroke-width:0.264583"
|
||||
x="8.6727352"
|
||||
y="16.687063"
|
||||
id="text852-3"><tspan
|
||||
sodipodi:role="line"
|
||||
id="tspan850-67"
|
||||
x="8.6727352"
|
||||
y="16.687063"
|
||||
style="font-style:normal;font-variant:normal;font-weight:bold;font-stretch:normal;font-size:5.64444px;font-family:'Liberation Mono';-inkscape-font-specification:'Liberation Mono Bold';stroke-width:0.264583">Objects table </tspan></text>
|
||||
<text
|
||||
xml:space="preserve"
|
||||
style="font-style:normal;font-weight:normal;font-size:5.64444px;line-height:1.25;font-family:sans-serif;fill:#000000;fill-opacity:1;stroke:none;stroke-width:0.264583"
|
||||
x="89.190445"
|
||||
y="16.687063"
|
||||
id="text852-3-5"><tspan
|
||||
sodipodi:role="line"
|
||||
id="tspan850-67-3"
|
||||
x="89.190445"
|
||||
y="16.687063"
|
||||
style="font-style:normal;font-variant:normal;font-weight:bold;font-stretch:normal;font-size:5.64444px;font-family:'Liberation Mono';-inkscape-font-specification:'Liberation Mono Bold';stroke-width:0.264583">Versions table </tspan></text>
|
||||
<text
|
||||
xml:space="preserve"
|
||||
style="font-style:normal;font-weight:normal;font-size:5.64444px;line-height:1.25;font-family:sans-serif;fill:#000000;fill-opacity:1;stroke:none;stroke-width:0.264583"
|
||||
x="174.55702"
|
||||
y="16.687063"
|
||||
id="text852-3-56"><tspan
|
||||
sodipodi:role="line"
|
||||
id="tspan850-67-2"
|
||||
x="174.55702"
|
||||
y="16.687063"
|
||||
style="font-style:normal;font-variant:normal;font-weight:bold;font-stretch:normal;font-size:5.64444px;font-family:'Liberation Mono';-inkscape-font-specification:'Liberation Mono Bold';stroke-width:0.264583">Blocks table</tspan></text>
|
||||
</g>
|
||||
</svg>
|
||||
|
After Width: | Height: | Size: 30 KiB |
BIN
doc/talks/2023-01-18-tocatta/assets/inframap.jpg
Normal file
BIN
doc/talks/2023-01-18-tocatta/assets/inframap.jpg
Normal file
Binary file not shown.
|
After Width: | Height: | Size: 37 KiB |
433
doc/talks/2023-01-18-tocatta/assets/lattice1.svg
Normal file
433
doc/talks/2023-01-18-tocatta/assets/lattice1.svg
Normal file
|
|
@ -0,0 +1,433 @@
|
|||
<?xml version="1.0" encoding="UTF-8" standalone="no"?>
|
||||
<!-- Created with Inkscape (http://www.inkscape.org/) -->
|
||||
|
||||
<svg
|
||||
width="1000"
|
||||
height="400"
|
||||
viewBox="0 0 264.58333 105.83333"
|
||||
version="1.1"
|
||||
id="svg5"
|
||||
inkscape:version="1.2.2 (b0a8486541, 2022-12-01)"
|
||||
sodipodi:docname="lattice1.svg"
|
||||
xmlns:inkscape="http://www.inkscape.org/namespaces/inkscape"
|
||||
xmlns:sodipodi="http://sodipodi.sourceforge.net/DTD/sodipodi-0.dtd"
|
||||
xmlns="http://www.w3.org/2000/svg"
|
||||
xmlns:svg="http://www.w3.org/2000/svg">
|
||||
<sodipodi:namedview
|
||||
id="namedview7"
|
||||
pagecolor="#ffffff"
|
||||
bordercolor="#666666"
|
||||
borderopacity="1.0"
|
||||
inkscape:showpageshadow="2"
|
||||
inkscape:pageopacity="0.0"
|
||||
inkscape:pagecheckerboard="0"
|
||||
inkscape:deskcolor="#d1d1d1"
|
||||
inkscape:document-units="mm"
|
||||
showgrid="false"
|
||||
inkscape:zoom="1.0419012"
|
||||
inkscape:cx="445.81962"
|
||||
inkscape:cy="222.66987"
|
||||
inkscape:window-width="1920"
|
||||
inkscape:window-height="999"
|
||||
inkscape:window-x="0"
|
||||
inkscape:window-y="0"
|
||||
inkscape:window-maximized="1"
|
||||
inkscape:current-layer="layer2" />
|
||||
<defs
|
||||
id="defs2">
|
||||
<marker
|
||||
style="overflow:visible"
|
||||
id="Arrow2"
|
||||
refX="0"
|
||||
refY="0"
|
||||
orient="auto-start-reverse"
|
||||
inkscape:stockid="Arrow2"
|
||||
markerWidth="7.6999998"
|
||||
markerHeight="5.5999999"
|
||||
viewBox="0 0 7.7 5.6"
|
||||
inkscape:isstock="true"
|
||||
inkscape:collect="always"
|
||||
preserveAspectRatio="xMidYMid">
|
||||
<path
|
||||
transform="scale(0.7)"
|
||||
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
|
||||
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
|
||||
id="arrow2L" />
|
||||
</marker>
|
||||
<marker
|
||||
style="overflow:visible"
|
||||
id="Arrow2-9"
|
||||
refX="0"
|
||||
refY="0"
|
||||
orient="auto-start-reverse"
|
||||
inkscape:stockid="Arrow2"
|
||||
markerWidth="7.6999998"
|
||||
markerHeight="5.5999999"
|
||||
viewBox="0 0 7.7 5.6"
|
||||
inkscape:isstock="true"
|
||||
inkscape:collect="always"
|
||||
preserveAspectRatio="xMidYMid">
|
||||
<path
|
||||
transform="scale(0.7)"
|
||||
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
|
||||
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
|
||||
id="arrow2L-1" />
|
||||
</marker>
|
||||
<marker
|
||||
style="overflow:visible"
|
||||
id="Arrow2-9-7"
|
||||
refX="0"
|
||||
refY="0"
|
||||
orient="auto-start-reverse"
|
||||
inkscape:stockid="Arrow2"
|
||||
markerWidth="7.6999998"
|
||||
markerHeight="5.5999999"
|
||||
viewBox="0 0 7.7 5.6"
|
||||
inkscape:isstock="true"
|
||||
inkscape:collect="always"
|
||||
preserveAspectRatio="xMidYMid">
|
||||
<path
|
||||
transform="scale(0.7)"
|
||||
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
|
||||
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
|
||||
id="arrow2L-1-0" />
|
||||
</marker>
|
||||
<marker
|
||||
style="overflow:visible"
|
||||
id="Arrow2-93"
|
||||
refX="0"
|
||||
refY="0"
|
||||
orient="auto-start-reverse"
|
||||
inkscape:stockid="Arrow2"
|
||||
markerWidth="7.6999998"
|
||||
markerHeight="5.5999999"
|
||||
viewBox="0 0 7.7 5.6"
|
||||
inkscape:isstock="true"
|
||||
inkscape:collect="always"
|
||||
preserveAspectRatio="xMidYMid">
|
||||
<path
|
||||
transform="scale(0.7)"
|
||||
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
|
||||
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
|
||||
id="arrow2L-6" />
|
||||
</marker>
|
||||
<marker
|
||||
style="overflow:visible"
|
||||
id="Arrow2-9-7-2"
|
||||
refX="0"
|
||||
refY="0"
|
||||
orient="auto-start-reverse"
|
||||
inkscape:stockid="Arrow2"
|
||||
markerWidth="7.6999998"
|
||||
markerHeight="5.5999999"
|
||||
viewBox="0 0 7.7 5.6"
|
||||
inkscape:isstock="true"
|
||||
inkscape:collect="always"
|
||||
preserveAspectRatio="xMidYMid">
|
||||
<path
|
||||
transform="scale(0.7)"
|
||||
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
|
||||
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
|
||||
id="arrow2L-1-0-6" />
|
||||
</marker>
|
||||
<marker
|
||||
style="overflow:visible"
|
||||
id="Arrow2-93-1"
|
||||
refX="0"
|
||||
refY="0"
|
||||
orient="auto-start-reverse"
|
||||
inkscape:stockid="Arrow2"
|
||||
markerWidth="7.6999998"
|
||||
markerHeight="5.5999999"
|
||||
viewBox="0 0 7.7 5.6"
|
||||
inkscape:isstock="true"
|
||||
inkscape:collect="always"
|
||||
preserveAspectRatio="xMidYMid">
|
||||
<path
|
||||
transform="scale(0.7)"
|
||||
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
|
||||
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
|
||||
id="arrow2L-6-8" />
|
||||
</marker>
|
||||
<marker
|
||||
style="overflow:visible"
|
||||
id="Arrow2-9-75"
|
||||
refX="0"
|
||||
refY="0"
|
||||
orient="auto-start-reverse"
|
||||
inkscape:stockid="Arrow2"
|
||||
markerWidth="7.6999998"
|
||||
markerHeight="5.5999999"
|
||||
viewBox="0 0 7.7 5.6"
|
||||
inkscape:isstock="true"
|
||||
inkscape:collect="always"
|
||||
preserveAspectRatio="xMidYMid">
|
||||
<path
|
||||
transform="scale(0.7)"
|
||||
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
|
||||
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
|
||||
id="arrow2L-1-9" />
|
||||
</marker>
|
||||
<marker
|
||||
style="overflow:visible"
|
||||
id="Arrow2-9-75-2"
|
||||
refX="0"
|
||||
refY="0"
|
||||
orient="auto-start-reverse"
|
||||
inkscape:stockid="Arrow2"
|
||||
markerWidth="7.6999998"
|
||||
markerHeight="5.5999999"
|
||||
viewBox="0 0 7.7 5.6"
|
||||
inkscape:isstock="true"
|
||||
inkscape:collect="always"
|
||||
preserveAspectRatio="xMidYMid">
|
||||
<path
|
||||
transform="scale(0.7)"
|
||||
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
|
||||
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
|
||||
id="arrow2L-1-9-8" />
|
||||
</marker>
|
||||
<marker
|
||||
style="overflow:visible"
|
||||
id="Arrow2-9-75-7"
|
||||
refX="0"
|
||||
refY="0"
|
||||
orient="auto-start-reverse"
|
||||
inkscape:stockid="Arrow2"
|
||||
markerWidth="7.6999998"
|
||||
markerHeight="5.5999999"
|
||||
viewBox="0 0 7.7 5.6"
|
||||
inkscape:isstock="true"
|
||||
inkscape:collect="always"
|
||||
preserveAspectRatio="xMidYMid">
|
||||
<path
|
||||
transform="scale(0.7)"
|
||||
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
|
||||
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
|
||||
id="arrow2L-1-9-3" />
|
||||
</marker>
|
||||
<marker
|
||||
style="overflow:visible"
|
||||
id="Arrow2-9-75-7-1"
|
||||
refX="0"
|
||||
refY="0"
|
||||
orient="auto-start-reverse"
|
||||
inkscape:stockid="Arrow2"
|
||||
markerWidth="7.6999998"
|
||||
markerHeight="5.5999999"
|
||||
viewBox="0 0 7.7 5.6"
|
||||
inkscape:isstock="true"
|
||||
inkscape:collect="always"
|
||||
preserveAspectRatio="xMidYMid">
|
||||
<path
|
||||
transform="scale(0.7)"
|
||||
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
|
||||
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
|
||||
id="arrow2L-1-9-3-2" />
|
||||
</marker>
|
||||
<marker
|
||||
style="overflow:visible"
|
||||
id="Arrow2-93-1-4"
|
||||
refX="0"
|
||||
refY="0"
|
||||
orient="auto-start-reverse"
|
||||
inkscape:stockid="Arrow2"
|
||||
markerWidth="7.6999998"
|
||||
markerHeight="5.5999999"
|
||||
viewBox="0 0 7.7 5.6"
|
||||
inkscape:isstock="true"
|
||||
inkscape:collect="always"
|
||||
preserveAspectRatio="xMidYMid">
|
||||
<path
|
||||
transform="scale(0.7)"
|
||||
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
|
||||
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
|
||||
id="arrow2L-6-8-7" />
|
||||
</marker>
|
||||
<marker
|
||||
style="overflow:visible"
|
||||
id="Arrow2-9-7-2-8"
|
||||
refX="0"
|
||||
refY="0"
|
||||
orient="auto-start-reverse"
|
||||
inkscape:stockid="Arrow2"
|
||||
markerWidth="7.6999998"
|
||||
markerHeight="5.5999999"
|
||||
viewBox="0 0 7.7 5.6"
|
||||
inkscape:isstock="true"
|
||||
inkscape:collect="always"
|
||||
preserveAspectRatio="xMidYMid">
|
||||
<path
|
||||
transform="scale(0.7)"
|
||||
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
|
||||
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
|
||||
id="arrow2L-1-0-6-4" />
|
||||
</marker>
|
||||
</defs>
|
||||
<g
|
||||
inkscape:label="Layer 1"
|
||||
inkscape:groupmode="layer"
|
||||
id="layer1"
|
||||
sodipodi:insensitive="true">
|
||||
<rect
|
||||
style="fill:#ffffff;stroke:none;stroke-width:1;stop-color:#000000"
|
||||
id="rect288"
|
||||
width="209.84705"
|
||||
height="104.42732"
|
||||
x="0.77790999"
|
||||
y="0.93738818" />
|
||||
</g>
|
||||
<g
|
||||
inkscape:groupmode="layer"
|
||||
id="layer2"
|
||||
inkscape:label="Layer 2">
|
||||
<text
|
||||
xml:space="preserve"
|
||||
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
|
||||
x="164.56372"
|
||||
y="99.307442"
|
||||
id="text951"><tspan
|
||||
sodipodi:role="line"
|
||||
id="tspan949"
|
||||
style="stroke-width:0.264583;fill:#000000"
|
||||
x="164.56372"
|
||||
y="99.307442">$\{\}$</tspan></text>
|
||||
<text
|
||||
xml:space="preserve"
|
||||
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
|
||||
x="164.56372"
|
||||
y="13.151893"
|
||||
id="text1005"><tspan
|
||||
sodipodi:role="line"
|
||||
id="tspan1003"
|
||||
style="stroke-width:0.264583;fill:#000000"
|
||||
x="164.56372"
|
||||
y="13.151893">$\{a,b,c\}$</tspan></text>
|
||||
<g
|
||||
id="g1175"
|
||||
transform="translate(51.996784,3.5774043)">
|
||||
<text
|
||||
xml:space="preserve"
|
||||
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
|
||||
x="49.27084"
|
||||
y="67.008698"
|
||||
id="text1009"><tspan
|
||||
sodipodi:role="line"
|
||||
id="tspan1007"
|
||||
style="stroke-width:0.264583;fill:#000000"
|
||||
x="49.27084"
|
||||
y="67.008698">$\{a\}$</tspan></text>
|
||||
<text
|
||||
xml:space="preserve"
|
||||
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
|
||||
x="112.90984"
|
||||
y="67.017166"
|
||||
id="text1009-3"><tspan
|
||||
sodipodi:role="line"
|
||||
id="tspan1007-6"
|
||||
style="stroke-width:0.264583;fill:#000000"
|
||||
x="112.90984"
|
||||
y="67.017166">$\{b\}$</tspan></text>
|
||||
<text
|
||||
xml:space="preserve"
|
||||
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
|
||||
x="176.20593"
|
||||
y="67.008698"
|
||||
id="text1009-7"><tspan
|
||||
sodipodi:role="line"
|
||||
id="tspan1007-5"
|
||||
style="stroke-width:0.264583;fill:#000000"
|
||||
x="176.20593"
|
||||
y="67.008698">$\{c\}$</tspan></text>
|
||||
</g>
|
||||
<g
|
||||
id="g1183"
|
||||
transform="translate(51.996784,1.0317046)">
|
||||
<text
|
||||
xml:space="preserve"
|
||||
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
|
||||
x="112.90984"
|
||||
y="40.841526"
|
||||
id="text1117"><tspan
|
||||
sodipodi:role="line"
|
||||
id="tspan1115"
|
||||
style="stroke-width:0.264583;fill:#000000"
|
||||
x="112.90984"
|
||||
y="40.841526">$\{a,c\}$</tspan></text>
|
||||
<text
|
||||
xml:space="preserve"
|
||||
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
|
||||
x="49.27084"
|
||||
y="40.841526"
|
||||
id="text1117-3"><tspan
|
||||
sodipodi:role="line"
|
||||
id="tspan1115-5"
|
||||
style="stroke-width:0.264583;fill:#000000"
|
||||
x="49.27084"
|
||||
y="40.841526">$\{a,b\}$</tspan></text>
|
||||
<text
|
||||
xml:space="preserve"
|
||||
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
|
||||
x="176.20593"
|
||||
y="40.841526"
|
||||
id="text1117-6"><tspan
|
||||
sodipodi:role="line"
|
||||
id="tspan1115-2"
|
||||
style="stroke-width:0.264583;fill:#000000"
|
||||
x="176.20593"
|
||||
y="40.841526">$\{b,c\}$</tspan></text>
|
||||
</g>
|
||||
<path
|
||||
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2)"
|
||||
d="M 153.33622,90.367682 118.34198,73.428915"
|
||||
id="path1300" />
|
||||
<path
|
||||
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9)"
|
||||
d="M 177.46016,90.367682 212.4544,73.428915"
|
||||
id="path1300-2" />
|
||||
<path
|
||||
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-93)"
|
||||
d="M 153.33622,61.655656 118.34198,44.716889"
|
||||
id="path1300-0" />
|
||||
<path
|
||||
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-7)"
|
||||
d="M 177.46016,61.655656 212.4544,44.716889"
|
||||
id="path1300-2-6" />
|
||||
<path
|
||||
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-93-1)"
|
||||
d="M 118.34198,61.655656 153.33622,44.716889"
|
||||
id="path1300-0-7" />
|
||||
<path
|
||||
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-7-2)"
|
||||
d="M 212.4544,61.655656 177.46016,44.716889"
|
||||
id="path1300-2-6-9" />
|
||||
<path
|
||||
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-93-1-4)"
|
||||
d="M 118.34198,34.227412 153.33622,17.288645"
|
||||
id="path1300-0-7-5" />
|
||||
<path
|
||||
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-7-2-8)"
|
||||
d="M 212.4544,34.227412 177.46016,17.288645"
|
||||
id="path1300-2-6-9-0" />
|
||||
<path
|
||||
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-75)"
|
||||
d="m 228.52843,61.091809 0.33313,-12.554874 m -0.33313,12.554874 0.33313,-12.554874"
|
||||
id="path1300-2-2"
|
||||
sodipodi:nodetypes="cc" />
|
||||
<path
|
||||
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-75-2)"
|
||||
d="m 101.90418,61.091809 0.33313,-12.554874 m -0.33313,12.554874 0.33313,-12.554874"
|
||||
id="path1300-2-2-9"
|
||||
sodipodi:nodetypes="cc" />
|
||||
<path
|
||||
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-75-7)"
|
||||
d="m 165.29305,89.571762 0.33313,-12.554874 m -0.33313,12.554874 0.33313,-12.554874"
|
||||
id="path1300-2-2-6"
|
||||
sodipodi:nodetypes="cc" />
|
||||
<path
|
||||
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-75-7-1)"
|
||||
d="m 165.29305,32.445235 0.33313,-12.554874 m -0.33313,12.554874 0.33313,-12.554874"
|
||||
id="path1300-2-2-6-9"
|
||||
sodipodi:nodetypes="cc" />
|
||||
</g>
|
||||
</svg>
|
||||
|
After Width: | Height: | Size: 15 KiB |
514
doc/talks/2023-01-18-tocatta/assets/lattice2.svg
Normal file
514
doc/talks/2023-01-18-tocatta/assets/lattice2.svg
Normal file
|
|
@ -0,0 +1,514 @@
|
|||
<?xml version="1.0" encoding="UTF-8" standalone="no"?>
|
||||
<!-- Created with Inkscape (http://www.inkscape.org/) -->
|
||||
|
||||
<svg
|
||||
width="1000"
|
||||
height="400"
|
||||
viewBox="0 0 264.58333 105.83333"
|
||||
version="1.1"
|
||||
id="svg5"
|
||||
inkscape:version="1.2.2 (b0a8486541, 2022-12-01)"
|
||||
sodipodi:docname="lattice2.svg"
|
||||
xmlns:inkscape="http://www.inkscape.org/namespaces/inkscape"
|
||||
xmlns:sodipodi="http://sodipodi.sourceforge.net/DTD/sodipodi-0.dtd"
|
||||
xmlns="http://www.w3.org/2000/svg"
|
||||
xmlns:svg="http://www.w3.org/2000/svg">
|
||||
<sodipodi:namedview
|
||||
id="namedview7"
|
||||
pagecolor="#ffffff"
|
||||
bordercolor="#666666"
|
||||
borderopacity="1.0"
|
||||
inkscape:showpageshadow="2"
|
||||
inkscape:pageopacity="0.0"
|
||||
inkscape:pagecheckerboard="0"
|
||||
inkscape:deskcolor="#d1d1d1"
|
||||
inkscape:document-units="mm"
|
||||
showgrid="false"
|
||||
inkscape:zoom="1.0419012"
|
||||
inkscape:cx="384.39345"
|
||||
inkscape:cy="227.46879"
|
||||
inkscape:window-width="1920"
|
||||
inkscape:window-height="999"
|
||||
inkscape:window-x="0"
|
||||
inkscape:window-y="0"
|
||||
inkscape:window-maximized="1"
|
||||
inkscape:current-layer="layer2" />
|
||||
<defs
|
||||
id="defs2">
|
||||
<marker
|
||||
style="overflow:visible"
|
||||
id="Arrow2"
|
||||
refX="0"
|
||||
refY="0"
|
||||
orient="auto-start-reverse"
|
||||
inkscape:stockid="Arrow2"
|
||||
markerWidth="7.6999998"
|
||||
markerHeight="5.5999999"
|
||||
viewBox="0 0 7.7 5.6"
|
||||
inkscape:isstock="true"
|
||||
inkscape:collect="always"
|
||||
preserveAspectRatio="xMidYMid">
|
||||
<path
|
||||
transform="scale(0.7)"
|
||||
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
|
||||
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
|
||||
id="arrow2L" />
|
||||
</marker>
|
||||
<marker
|
||||
style="overflow:visible"
|
||||
id="Arrow2-9"
|
||||
refX="0"
|
||||
refY="0"
|
||||
orient="auto-start-reverse"
|
||||
inkscape:stockid="Arrow2"
|
||||
markerWidth="7.6999998"
|
||||
markerHeight="5.5999999"
|
||||
viewBox="0 0 7.7 5.6"
|
||||
inkscape:isstock="true"
|
||||
inkscape:collect="always"
|
||||
preserveAspectRatio="xMidYMid">
|
||||
<path
|
||||
transform="scale(0.7)"
|
||||
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
|
||||
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
|
||||
id="arrow2L-1" />
|
||||
</marker>
|
||||
<marker
|
||||
style="overflow:visible"
|
||||
id="Arrow2-9-7"
|
||||
refX="0"
|
||||
refY="0"
|
||||
orient="auto-start-reverse"
|
||||
inkscape:stockid="Arrow2"
|
||||
markerWidth="7.6999998"
|
||||
markerHeight="5.5999999"
|
||||
viewBox="0 0 7.7 5.6"
|
||||
inkscape:isstock="true"
|
||||
inkscape:collect="always"
|
||||
preserveAspectRatio="xMidYMid">
|
||||
<path
|
||||
transform="scale(0.7)"
|
||||
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
|
||||
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
|
||||
id="arrow2L-1-0" />
|
||||
</marker>
|
||||
<marker
|
||||
style="overflow:visible"
|
||||
id="Arrow2-93"
|
||||
refX="0"
|
||||
refY="0"
|
||||
orient="auto-start-reverse"
|
||||
inkscape:stockid="Arrow2"
|
||||
markerWidth="7.6999998"
|
||||
markerHeight="5.5999999"
|
||||
viewBox="0 0 7.7 5.6"
|
||||
inkscape:isstock="true"
|
||||
inkscape:collect="always"
|
||||
preserveAspectRatio="xMidYMid">
|
||||
<path
|
||||
transform="scale(0.7)"
|
||||
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
|
||||
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
|
||||
id="arrow2L-6" />
|
||||
</marker>
|
||||
<marker
|
||||
style="overflow:visible"
|
||||
id="Arrow2-9-7-2"
|
||||
refX="0"
|
||||
refY="0"
|
||||
orient="auto-start-reverse"
|
||||
inkscape:stockid="Arrow2"
|
||||
markerWidth="7.6999998"
|
||||
markerHeight="5.5999999"
|
||||
viewBox="0 0 7.7 5.6"
|
||||
inkscape:isstock="true"
|
||||
inkscape:collect="always"
|
||||
preserveAspectRatio="xMidYMid">
|
||||
<path
|
||||
transform="scale(0.7)"
|
||||
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
|
||||
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
|
||||
id="arrow2L-1-0-6" />
|
||||
</marker>
|
||||
<marker
|
||||
style="overflow:visible"
|
||||
id="Arrow2-93-1"
|
||||
refX="0"
|
||||
refY="0"
|
||||
orient="auto-start-reverse"
|
||||
inkscape:stockid="Arrow2"
|
||||
markerWidth="7.6999998"
|
||||
markerHeight="5.5999999"
|
||||
viewBox="0 0 7.7 5.6"
|
||||
inkscape:isstock="true"
|
||||
inkscape:collect="always"
|
||||
preserveAspectRatio="xMidYMid">
|
||||
<path
|
||||
transform="scale(0.7)"
|
||||
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
|
||||
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
|
||||
id="arrow2L-6-8" />
|
||||
</marker>
|
||||
<marker
|
||||
style="overflow:visible"
|
||||
id="Arrow2-9-75"
|
||||
refX="0"
|
||||
refY="0"
|
||||
orient="auto-start-reverse"
|
||||
inkscape:stockid="Arrow2"
|
||||
markerWidth="7.6999998"
|
||||
markerHeight="5.5999999"
|
||||
viewBox="0 0 7.7 5.6"
|
||||
inkscape:isstock="true"
|
||||
inkscape:collect="always"
|
||||
preserveAspectRatio="xMidYMid">
|
||||
<path
|
||||
transform="scale(0.7)"
|
||||
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
|
||||
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
|
||||
id="arrow2L-1-9" />
|
||||
</marker>
|
||||
<marker
|
||||
style="overflow:visible"
|
||||
id="Arrow2-9-75-2"
|
||||
refX="0"
|
||||
refY="0"
|
||||
orient="auto-start-reverse"
|
||||
inkscape:stockid="Arrow2"
|
||||
markerWidth="7.6999998"
|
||||
markerHeight="5.5999999"
|
||||
viewBox="0 0 7.7 5.6"
|
||||
inkscape:isstock="true"
|
||||
inkscape:collect="always"
|
||||
preserveAspectRatio="xMidYMid">
|
||||
<path
|
||||
transform="scale(0.7)"
|
||||
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
|
||||
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
|
||||
id="arrow2L-1-9-8" />
|
||||
</marker>
|
||||
<marker
|
||||
style="overflow:visible"
|
||||
id="Arrow2-9-75-7"
|
||||
refX="0"
|
||||
refY="0"
|
||||
orient="auto-start-reverse"
|
||||
inkscape:stockid="Arrow2"
|
||||
markerWidth="7.6999998"
|
||||
markerHeight="5.5999999"
|
||||
viewBox="0 0 7.7 5.6"
|
||||
inkscape:isstock="true"
|
||||
inkscape:collect="always"
|
||||
preserveAspectRatio="xMidYMid">
|
||||
<path
|
||||
transform="scale(0.7)"
|
||||
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
|
||||
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
|
||||
id="arrow2L-1-9-3" />
|
||||
</marker>
|
||||
<marker
|
||||
style="overflow:visible"
|
||||
id="Arrow2-9-75-7-1"
|
||||
refX="0"
|
||||
refY="0"
|
||||
orient="auto-start-reverse"
|
||||
inkscape:stockid="Arrow2"
|
||||
markerWidth="7.6999998"
|
||||
markerHeight="5.5999999"
|
||||
viewBox="0 0 7.7 5.6"
|
||||
inkscape:isstock="true"
|
||||
inkscape:collect="always"
|
||||
preserveAspectRatio="xMidYMid">
|
||||
<path
|
||||
transform="scale(0.7)"
|
||||
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
|
||||
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
|
||||
id="arrow2L-1-9-3-2" />
|
||||
</marker>
|
||||
<marker
|
||||
style="overflow:visible"
|
||||
id="Arrow2-93-1-4"
|
||||
refX="0"
|
||||
refY="0"
|
||||
orient="auto-start-reverse"
|
||||
inkscape:stockid="Arrow2"
|
||||
markerWidth="7.6999998"
|
||||
markerHeight="5.5999999"
|
||||
viewBox="0 0 7.7 5.6"
|
||||
inkscape:isstock="true"
|
||||
inkscape:collect="always"
|
||||
preserveAspectRatio="xMidYMid">
|
||||
<path
|
||||
transform="scale(0.7)"
|
||||
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
|
||||
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
|
||||
id="arrow2L-6-8-7" />
|
||||
</marker>
|
||||
<marker
|
||||
style="overflow:visible"
|
||||
id="Arrow2-9-7-2-8"
|
||||
refX="0"
|
||||
refY="0"
|
||||
orient="auto-start-reverse"
|
||||
inkscape:stockid="Arrow2"
|
||||
markerWidth="7.6999998"
|
||||
markerHeight="5.5999999"
|
||||
viewBox="0 0 7.7 5.6"
|
||||
inkscape:isstock="true"
|
||||
inkscape:collect="always"
|
||||
preserveAspectRatio="xMidYMid">
|
||||
<path
|
||||
transform="scale(0.7)"
|
||||
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
|
||||
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
|
||||
id="arrow2L-1-0-6-4" />
|
||||
</marker>
|
||||
</defs>
|
||||
<g
|
||||
inkscape:label="Layer 1"
|
||||
inkscape:groupmode="layer"
|
||||
id="layer1"
|
||||
sodipodi:insensitive="true">
|
||||
<rect
|
||||
style="fill:#ffffff;stroke:none;stroke-width:1;stop-color:#000000"
|
||||
id="rect288"
|
||||
width="209.84705"
|
||||
height="104.42732"
|
||||
x="0.77790999"
|
||||
y="0.93738818" />
|
||||
</g>
|
||||
<g
|
||||
inkscape:groupmode="layer"
|
||||
id="layer2"
|
||||
inkscape:label="Layer 2">
|
||||
<text
|
||||
xml:space="preserve"
|
||||
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
|
||||
x="164.56372"
|
||||
y="99.307442"
|
||||
id="text951"><tspan
|
||||
sodipodi:role="line"
|
||||
id="tspan949"
|
||||
style="stroke-width:0.264583;fill:#000000"
|
||||
x="164.56372"
|
||||
y="99.307442">$\{\}$</tspan></text>
|
||||
<text
|
||||
xml:space="preserve"
|
||||
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
|
||||
x="164.56372"
|
||||
y="13.151893"
|
||||
id="text1005"><tspan
|
||||
sodipodi:role="line"
|
||||
id="tspan1003"
|
||||
style="stroke-width:0.264583;fill:#000000"
|
||||
x="164.56372"
|
||||
y="13.151893">$\{a,b,c\}$</tspan></text>
|
||||
<g
|
||||
id="g1175"
|
||||
transform="translate(51.996784,3.5774043)">
|
||||
<text
|
||||
xml:space="preserve"
|
||||
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
|
||||
x="49.27084"
|
||||
y="67.008698"
|
||||
id="text1009"><tspan
|
||||
sodipodi:role="line"
|
||||
id="tspan1007"
|
||||
style="stroke-width:0.264583;fill:#000000"
|
||||
x="49.27084"
|
||||
y="67.008698">$\{a\}$</tspan></text>
|
||||
<text
|
||||
xml:space="preserve"
|
||||
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
|
||||
x="112.90984"
|
||||
y="67.017166"
|
||||
id="text1009-3"><tspan
|
||||
sodipodi:role="line"
|
||||
id="tspan1007-6"
|
||||
style="stroke-width:0.264583;fill:#000000"
|
||||
x="112.90984"
|
||||
y="67.017166">$\{b\}$</tspan></text>
|
||||
<text
|
||||
xml:space="preserve"
|
||||
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
|
||||
x="176.20593"
|
||||
y="67.008698"
|
||||
id="text1009-7"><tspan
|
||||
sodipodi:role="line"
|
||||
id="tspan1007-5"
|
||||
style="stroke-width:0.264583;fill:#000000"
|
||||
x="176.20593"
|
||||
y="67.008698">$\{c\}$</tspan></text>
|
||||
</g>
|
||||
<g
|
||||
id="g1183"
|
||||
transform="translate(51.996784,1.0317046)"
|
||||
style="fill:#000000">
|
||||
<text
|
||||
xml:space="preserve"
|
||||
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
|
||||
x="112.90984"
|
||||
y="40.841526"
|
||||
id="text1117"><tspan
|
||||
sodipodi:role="line"
|
||||
id="tspan1115"
|
||||
style="stroke-width:0.264583;fill:#000000"
|
||||
x="112.90984"
|
||||
y="40.841526">$\{a,c\}$</tspan></text>
|
||||
<text
|
||||
xml:space="preserve"
|
||||
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
|
||||
x="49.27084"
|
||||
y="40.841526"
|
||||
id="text1117-3"><tspan
|
||||
sodipodi:role="line"
|
||||
id="tspan1115-5"
|
||||
style="stroke-width:0.264583;fill:#000000"
|
||||
x="49.27084"
|
||||
y="40.841526">$\{a,b\}$</tspan></text>
|
||||
<text
|
||||
xml:space="preserve"
|
||||
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
|
||||
x="176.20593"
|
||||
y="40.841526"
|
||||
id="text1117-6"><tspan
|
||||
sodipodi:role="line"
|
||||
id="tspan1115-2"
|
||||
style="stroke-width:0.264583;fill:#000000"
|
||||
x="176.20593"
|
||||
y="40.841526">$\{b,c\}$</tspan></text>
|
||||
</g>
|
||||
<path
|
||||
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2)"
|
||||
d="M 153.33622,90.367682 118.34198,73.428915"
|
||||
id="path1300" />
|
||||
<path
|
||||
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9)"
|
||||
d="M 177.46016,90.367682 212.4544,73.428915"
|
||||
id="path1300-2" />
|
||||
<path
|
||||
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-93)"
|
||||
d="M 153.33622,61.655656 118.34198,44.716889"
|
||||
id="path1300-0" />
|
||||
<path
|
||||
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-7)"
|
||||
d="M 177.46016,61.655656 212.4544,44.716889"
|
||||
id="path1300-2-6" />
|
||||
<path
|
||||
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-93-1)"
|
||||
d="M 118.34198,61.655656 153.33622,44.716889"
|
||||
id="path1300-0-7" />
|
||||
<path
|
||||
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-7-2)"
|
||||
d="M 212.4544,61.655656 177.46016,44.716889"
|
||||
id="path1300-2-6-9" />
|
||||
<path
|
||||
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-93-1-4)"
|
||||
d="M 118.34198,34.227412 153.33622,17.288645"
|
||||
id="path1300-0-7-5" />
|
||||
<path
|
||||
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-7-2-8)"
|
||||
d="M 212.4544,34.227412 177.46016,17.288645"
|
||||
id="path1300-2-6-9-0" />
|
||||
<path
|
||||
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-75)"
|
||||
d="m 228.52843,61.091809 0.33313,-12.554874 m -0.33313,12.554874 0.33313,-12.554874"
|
||||
id="path1300-2-2"
|
||||
sodipodi:nodetypes="cc" />
|
||||
<path
|
||||
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-75-2)"
|
||||
d="m 101.90418,61.091809 0.33313,-12.554874 m -0.33313,12.554874 0.33313,-12.554874"
|
||||
id="path1300-2-2-9"
|
||||
sodipodi:nodetypes="cc" />
|
||||
<path
|
||||
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-75-7)"
|
||||
d="m 165.29305,89.571762 0.33313,-12.554874 m -0.33313,12.554874 0.33313,-12.554874"
|
||||
id="path1300-2-2-6"
|
||||
sodipodi:nodetypes="cc" />
|
||||
<path
|
||||
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-75-7-1)"
|
||||
d="m 165.29305,32.445235 0.33313,-12.554874 m -0.33313,12.554874 0.33313,-12.554874"
|
||||
id="path1300-2-2-6-9"
|
||||
sodipodi:nodetypes="cc" />
|
||||
<circle
|
||||
style="fill:#ff0000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
|
||||
id="path3663"
|
||||
cx="147.35568"
|
||||
cy="95.24971"
|
||||
r="2.7302806" />
|
||||
<circle
|
||||
style="fill:#008000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
|
||||
id="path3663-3"
|
||||
cx="139.48744"
|
||||
cy="95.24971"
|
||||
r="2.7302806" />
|
||||
<circle
|
||||
style="fill:#800080;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
|
||||
id="path3663-6"
|
||||
cx="131.61919"
|
||||
cy="95.24971"
|
||||
r="2.7302806" />
|
||||
<circle
|
||||
style="fill:#ff0000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
|
||||
id="path3663-1"
|
||||
cx="18.004833"
|
||||
cy="39.402473"
|
||||
r="2.7302806" />
|
||||
<circle
|
||||
style="fill:#008000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
|
||||
id="path3663-3-0"
|
||||
cx="18.004833"
|
||||
cy="30.371933"
|
||||
r="2.7302806" />
|
||||
<circle
|
||||
style="fill:#800080;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
|
||||
id="path3663-6-6"
|
||||
cx="18.004833"
|
||||
cy="21.341394"
|
||||
r="2.7302806" />
|
||||
<text
|
||||
xml:space="preserve"
|
||||
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;stroke-width:0.264583;fill:#000000"
|
||||
x="6.9525447"
|
||||
y="13.702217"
|
||||
id="text3707"><tspan
|
||||
sodipodi:role="line"
|
||||
id="tspan3705"
|
||||
style="stroke-width:0.264583;fill:#000000"
|
||||
x="6.9525447"
|
||||
y="13.702217">$write(\{a\})$:</tspan></text>
|
||||
<text
|
||||
xml:space="preserve"
|
||||
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#999999;stroke-width:0.264583"
|
||||
x="23.457415"
|
||||
y="24.042637"
|
||||
id="text3750"><tspan
|
||||
sodipodi:role="line"
|
||||
id="tspan3748"
|
||||
style="fill:#999999;stroke-width:0.264583"
|
||||
x="23.457415"
|
||||
y="24.042637">$\not\sqsupseteq \{a\}$</tspan></text>
|
||||
<text
|
||||
xml:space="preserve"
|
||||
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#999999;stroke-width:0.264583"
|
||||
x="23.457415"
|
||||
y="33.02087"
|
||||
id="text3750-3"><tspan
|
||||
sodipodi:role="line"
|
||||
id="tspan3748-2"
|
||||
style="fill:#999999;stroke-width:0.264583"
|
||||
x="23.457415"
|
||||
y="33.02087">$\not\sqsupseteq \{a\}$</tspan></text>
|
||||
<text
|
||||
xml:space="preserve"
|
||||
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#999999;stroke-width:0.264583"
|
||||
x="23.457415"
|
||||
y="41.972523"
|
||||
id="text3750-0"><tspan
|
||||
sodipodi:role="line"
|
||||
id="tspan3748-6"
|
||||
style="fill:#999999;stroke-width:0.264583"
|
||||
x="23.457415"
|
||||
y="41.972523">$\not\sqsupseteq \{a\}$</tspan></text>
|
||||
</g>
|
||||
</svg>
|
||||
|
After Width: | Height: | Size: 18 KiB |
515
doc/talks/2023-01-18-tocatta/assets/lattice3.svg
Normal file
515
doc/talks/2023-01-18-tocatta/assets/lattice3.svg
Normal file
|
|
@ -0,0 +1,515 @@
|
|||
<?xml version="1.0" encoding="UTF-8" standalone="no"?>
|
||||
<!-- Created with Inkscape (http://www.inkscape.org/) -->
|
||||
|
||||
<svg
|
||||
width="1000"
|
||||
height="400"
|
||||
viewBox="0 0 264.58333 105.83333"
|
||||
version="1.1"
|
||||
id="svg5"
|
||||
inkscape:version="1.2.2 (b0a8486541, 2022-12-01)"
|
||||
sodipodi:docname="lattice3.svg"
|
||||
xmlns:inkscape="http://www.inkscape.org/namespaces/inkscape"
|
||||
xmlns:sodipodi="http://sodipodi.sourceforge.net/DTD/sodipodi-0.dtd"
|
||||
xmlns="http://www.w3.org/2000/svg"
|
||||
xmlns:svg="http://www.w3.org/2000/svg">
|
||||
<sodipodi:namedview
|
||||
id="namedview7"
|
||||
pagecolor="#ffffff"
|
||||
bordercolor="#666666"
|
||||
borderopacity="1.0"
|
||||
inkscape:showpageshadow="2"
|
||||
inkscape:pageopacity="0.0"
|
||||
inkscape:pagecheckerboard="0"
|
||||
inkscape:deskcolor="#d1d1d1"
|
||||
inkscape:document-units="mm"
|
||||
showgrid="false"
|
||||
inkscape:zoom="1.4734708"
|
||||
inkscape:cx="324.06479"
|
||||
inkscape:cy="168.98876"
|
||||
inkscape:window-width="1920"
|
||||
inkscape:window-height="999"
|
||||
inkscape:window-x="0"
|
||||
inkscape:window-y="0"
|
||||
inkscape:window-maximized="1"
|
||||
inkscape:current-layer="layer2" />
|
||||
<defs
|
||||
id="defs2">
|
||||
<marker
|
||||
style="overflow:visible"
|
||||
id="Arrow2"
|
||||
refX="0"
|
||||
refY="0"
|
||||
orient="auto-start-reverse"
|
||||
inkscape:stockid="Arrow2"
|
||||
markerWidth="7.6999998"
|
||||
markerHeight="5.5999999"
|
||||
viewBox="0 0 7.7 5.6"
|
||||
inkscape:isstock="true"
|
||||
inkscape:collect="always"
|
||||
preserveAspectRatio="xMidYMid">
|
||||
<path
|
||||
transform="scale(0.7)"
|
||||
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
|
||||
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
|
||||
id="arrow2L" />
|
||||
</marker>
|
||||
<marker
|
||||
style="overflow:visible"
|
||||
id="Arrow2-9"
|
||||
refX="0"
|
||||
refY="0"
|
||||
orient="auto-start-reverse"
|
||||
inkscape:stockid="Arrow2"
|
||||
markerWidth="7.6999998"
|
||||
markerHeight="5.5999999"
|
||||
viewBox="0 0 7.7 5.6"
|
||||
inkscape:isstock="true"
|
||||
inkscape:collect="always"
|
||||
preserveAspectRatio="xMidYMid">
|
||||
<path
|
||||
transform="scale(0.7)"
|
||||
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
|
||||
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
|
||||
id="arrow2L-1" />
|
||||
</marker>
|
||||
<marker
|
||||
style="overflow:visible"
|
||||
id="Arrow2-9-7"
|
||||
refX="0"
|
||||
refY="0"
|
||||
orient="auto-start-reverse"
|
||||
inkscape:stockid="Arrow2"
|
||||
markerWidth="7.6999998"
|
||||
markerHeight="5.5999999"
|
||||
viewBox="0 0 7.7 5.6"
|
||||
inkscape:isstock="true"
|
||||
inkscape:collect="always"
|
||||
preserveAspectRatio="xMidYMid">
|
||||
<path
|
||||
transform="scale(0.7)"
|
||||
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
|
||||
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
|
||||
id="arrow2L-1-0" />
|
||||
</marker>
|
||||
<marker
|
||||
style="overflow:visible"
|
||||
id="Arrow2-93"
|
||||
refX="0"
|
||||
refY="0"
|
||||
orient="auto-start-reverse"
|
||||
inkscape:stockid="Arrow2"
|
||||
markerWidth="7.6999998"
|
||||
markerHeight="5.5999999"
|
||||
viewBox="0 0 7.7 5.6"
|
||||
inkscape:isstock="true"
|
||||
inkscape:collect="always"
|
||||
preserveAspectRatio="xMidYMid">
|
||||
<path
|
||||
transform="scale(0.7)"
|
||||
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
|
||||
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
|
||||
id="arrow2L-6" />
|
||||
</marker>
|
||||
<marker
|
||||
style="overflow:visible"
|
||||
id="Arrow2-9-7-2"
|
||||
refX="0"
|
||||
refY="0"
|
||||
orient="auto-start-reverse"
|
||||
inkscape:stockid="Arrow2"
|
||||
markerWidth="7.6999998"
|
||||
markerHeight="5.5999999"
|
||||
viewBox="0 0 7.7 5.6"
|
||||
inkscape:isstock="true"
|
||||
inkscape:collect="always"
|
||||
preserveAspectRatio="xMidYMid">
|
||||
<path
|
||||
transform="scale(0.7)"
|
||||
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
|
||||
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
|
||||
id="arrow2L-1-0-6" />
|
||||
</marker>
|
||||
<marker
|
||||
style="overflow:visible"
|
||||
id="Arrow2-93-1"
|
||||
refX="0"
|
||||
refY="0"
|
||||
orient="auto-start-reverse"
|
||||
inkscape:stockid="Arrow2"
|
||||
markerWidth="7.6999998"
|
||||
markerHeight="5.5999999"
|
||||
viewBox="0 0 7.7 5.6"
|
||||
inkscape:isstock="true"
|
||||
inkscape:collect="always"
|
||||
preserveAspectRatio="xMidYMid">
|
||||
<path
|
||||
transform="scale(0.7)"
|
||||
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
|
||||
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
|
||||
id="arrow2L-6-8" />
|
||||
</marker>
|
||||
<marker
|
||||
style="overflow:visible"
|
||||
id="Arrow2-9-75"
|
||||
refX="0"
|
||||
refY="0"
|
||||
orient="auto-start-reverse"
|
||||
inkscape:stockid="Arrow2"
|
||||
markerWidth="7.6999998"
|
||||
markerHeight="5.5999999"
|
||||
viewBox="0 0 7.7 5.6"
|
||||
inkscape:isstock="true"
|
||||
inkscape:collect="always"
|
||||
preserveAspectRatio="xMidYMid">
|
||||
<path
|
||||
transform="scale(0.7)"
|
||||
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
|
||||
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
|
||||
id="arrow2L-1-9" />
|
||||
</marker>
|
||||
<marker
|
||||
style="overflow:visible"
|
||||
id="Arrow2-9-75-2"
|
||||
refX="0"
|
||||
refY="0"
|
||||
orient="auto-start-reverse"
|
||||
inkscape:stockid="Arrow2"
|
||||
markerWidth="7.6999998"
|
||||
markerHeight="5.5999999"
|
||||
viewBox="0 0 7.7 5.6"
|
||||
inkscape:isstock="true"
|
||||
inkscape:collect="always"
|
||||
preserveAspectRatio="xMidYMid">
|
||||
<path
|
||||
transform="scale(0.7)"
|
||||
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
|
||||
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
|
||||
id="arrow2L-1-9-8" />
|
||||
</marker>
|
||||
<marker
|
||||
style="overflow:visible"
|
||||
id="Arrow2-9-75-7"
|
||||
refX="0"
|
||||
refY="0"
|
||||
orient="auto-start-reverse"
|
||||
inkscape:stockid="Arrow2"
|
||||
markerWidth="7.6999998"
|
||||
markerHeight="5.5999999"
|
||||
viewBox="0 0 7.7 5.6"
|
||||
inkscape:isstock="true"
|
||||
inkscape:collect="always"
|
||||
preserveAspectRatio="xMidYMid">
|
||||
<path
|
||||
transform="scale(0.7)"
|
||||
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
|
||||
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
|
||||
id="arrow2L-1-9-3" />
|
||||
</marker>
|
||||
<marker
|
||||
style="overflow:visible"
|
||||
id="Arrow2-9-75-7-1"
|
||||
refX="0"
|
||||
refY="0"
|
||||
orient="auto-start-reverse"
|
||||
inkscape:stockid="Arrow2"
|
||||
markerWidth="7.6999998"
|
||||
markerHeight="5.5999999"
|
||||
viewBox="0 0 7.7 5.6"
|
||||
inkscape:isstock="true"
|
||||
inkscape:collect="always"
|
||||
preserveAspectRatio="xMidYMid">
|
||||
<path
|
||||
transform="scale(0.7)"
|
||||
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
|
||||
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
|
||||
id="arrow2L-1-9-3-2" />
|
||||
</marker>
|
||||
<marker
|
||||
style="overflow:visible"
|
||||
id="Arrow2-93-1-4"
|
||||
refX="0"
|
||||
refY="0"
|
||||
orient="auto-start-reverse"
|
||||
inkscape:stockid="Arrow2"
|
||||
markerWidth="7.6999998"
|
||||
markerHeight="5.5999999"
|
||||
viewBox="0 0 7.7 5.6"
|
||||
inkscape:isstock="true"
|
||||
inkscape:collect="always"
|
||||
preserveAspectRatio="xMidYMid">
|
||||
<path
|
||||
transform="scale(0.7)"
|
||||
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
|
||||
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
|
||||
id="arrow2L-6-8-7" />
|
||||
</marker>
|
||||
<marker
|
||||
style="overflow:visible"
|
||||
id="Arrow2-9-7-2-8"
|
||||
refX="0"
|
||||
refY="0"
|
||||
orient="auto-start-reverse"
|
||||
inkscape:stockid="Arrow2"
|
||||
markerWidth="7.6999998"
|
||||
markerHeight="5.5999999"
|
||||
viewBox="0 0 7.7 5.6"
|
||||
inkscape:isstock="true"
|
||||
inkscape:collect="always"
|
||||
preserveAspectRatio="xMidYMid">
|
||||
<path
|
||||
transform="scale(0.7)"
|
||||
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
|
||||
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
|
||||
id="arrow2L-1-0-6-4" />
|
||||
</marker>
|
||||
</defs>
|
||||
<g
|
||||
inkscape:label="Layer 1"
|
||||
inkscape:groupmode="layer"
|
||||
id="layer1"
|
||||
sodipodi:insensitive="true">
|
||||
<rect
|
||||
style="fill:#ffffff;stroke:none;stroke-width:1;stop-color:#000000"
|
||||
id="rect288"
|
||||
width="209.84705"
|
||||
height="104.42732"
|
||||
x="0.77790999"
|
||||
y="0.93738818" />
|
||||
</g>
|
||||
<g
|
||||
inkscape:groupmode="layer"
|
||||
id="layer2"
|
||||
inkscape:label="Layer 2">
|
||||
<text
|
||||
xml:space="preserve"
|
||||
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
|
||||
x="164.56372"
|
||||
y="99.307442"
|
||||
id="text951"><tspan
|
||||
sodipodi:role="line"
|
||||
id="tspan949"
|
||||
style="stroke-width:0.264583;fill:#000000"
|
||||
x="164.56372"
|
||||
y="99.307442">$\{\}$</tspan></text>
|
||||
<text
|
||||
xml:space="preserve"
|
||||
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
|
||||
x="164.56372"
|
||||
y="13.151893"
|
||||
id="text1005"><tspan
|
||||
sodipodi:role="line"
|
||||
id="tspan1003"
|
||||
style="stroke-width:0.264583;fill:#000000"
|
||||
x="164.56372"
|
||||
y="13.151893">$\{a,b,c\}$</tspan></text>
|
||||
<g
|
||||
id="g1175"
|
||||
transform="translate(51.996784,3.5774043)"
|
||||
style="fill:#000000">
|
||||
<text
|
||||
xml:space="preserve"
|
||||
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
|
||||
x="49.27084"
|
||||
y="67.008698"
|
||||
id="text1009"><tspan
|
||||
sodipodi:role="line"
|
||||
id="tspan1007"
|
||||
style="stroke-width:0.264583;fill:#000000"
|
||||
x="49.27084"
|
||||
y="67.008698">$\{a\}$</tspan></text>
|
||||
<text
|
||||
xml:space="preserve"
|
||||
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
|
||||
x="112.90984"
|
||||
y="67.017166"
|
||||
id="text1009-3"><tspan
|
||||
sodipodi:role="line"
|
||||
id="tspan1007-6"
|
||||
style="stroke-width:0.264583;fill:#000000"
|
||||
x="112.90984"
|
||||
y="67.017166">$\{b\}$</tspan></text>
|
||||
<text
|
||||
xml:space="preserve"
|
||||
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
|
||||
x="176.20593"
|
||||
y="67.008698"
|
||||
id="text1009-7"><tspan
|
||||
sodipodi:role="line"
|
||||
id="tspan1007-5"
|
||||
style="stroke-width:0.264583;fill:#000000"
|
||||
x="176.20593"
|
||||
y="67.008698">$\{c\}$</tspan></text>
|
||||
</g>
|
||||
<g
|
||||
id="g1183"
|
||||
transform="translate(51.996784,1.0317046)"
|
||||
style="fill:#000000">
|
||||
<text
|
||||
xml:space="preserve"
|
||||
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
|
||||
x="112.90984"
|
||||
y="40.841526"
|
||||
id="text1117"><tspan
|
||||
sodipodi:role="line"
|
||||
id="tspan1115"
|
||||
style="stroke-width:0.264583;fill:#000000"
|
||||
x="112.90984"
|
||||
y="40.841526">$\{a,c\}$</tspan></text>
|
||||
<text
|
||||
xml:space="preserve"
|
||||
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
|
||||
x="49.27084"
|
||||
y="40.841526"
|
||||
id="text1117-3"><tspan
|
||||
sodipodi:role="line"
|
||||
id="tspan1115-5"
|
||||
style="stroke-width:0.264583;fill:#000000"
|
||||
x="49.27084"
|
||||
y="40.841526">$\{a,b\}$</tspan></text>
|
||||
<text
|
||||
xml:space="preserve"
|
||||
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
|
||||
x="176.20593"
|
||||
y="40.841526"
|
||||
id="text1117-6"><tspan
|
||||
sodipodi:role="line"
|
||||
id="tspan1115-2"
|
||||
style="stroke-width:0.264583;fill:#000000"
|
||||
x="176.20593"
|
||||
y="40.841526">$\{b,c\}$</tspan></text>
|
||||
</g>
|
||||
<path
|
||||
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2)"
|
||||
d="M 153.33622,90.367682 118.34198,73.428915"
|
||||
id="path1300" />
|
||||
<path
|
||||
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9)"
|
||||
d="M 177.46016,90.367682 212.4544,73.428915"
|
||||
id="path1300-2" />
|
||||
<path
|
||||
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-93)"
|
||||
d="M 153.33622,61.655656 118.34198,44.716889"
|
||||
id="path1300-0" />
|
||||
<path
|
||||
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-7)"
|
||||
d="M 177.46016,61.655656 212.4544,44.716889"
|
||||
id="path1300-2-6" />
|
||||
<path
|
||||
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-93-1)"
|
||||
d="M 118.34198,61.655656 153.33622,44.716889"
|
||||
id="path1300-0-7" />
|
||||
<path
|
||||
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-7-2)"
|
||||
d="M 212.4544,61.655656 177.46016,44.716889"
|
||||
id="path1300-2-6-9" />
|
||||
<path
|
||||
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-93-1-4)"
|
||||
d="M 118.34198,34.227412 153.33622,17.288645"
|
||||
id="path1300-0-7-5" />
|
||||
<path
|
||||
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-7-2-8)"
|
||||
d="M 212.4544,34.227412 177.46016,17.288645"
|
||||
id="path1300-2-6-9-0" />
|
||||
<path
|
||||
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-75)"
|
||||
d="m 228.52843,61.091809 0.33313,-12.554874 m -0.33313,12.554874 0.33313,-12.554874"
|
||||
id="path1300-2-2"
|
||||
sodipodi:nodetypes="cc" />
|
||||
<path
|
||||
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-75-2)"
|
||||
d="m 101.90418,61.091809 0.33313,-12.554874 m -0.33313,12.554874 0.33313,-12.554874"
|
||||
id="path1300-2-2-9"
|
||||
sodipodi:nodetypes="cc" />
|
||||
<path
|
||||
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-75-7)"
|
||||
d="m 165.29305,89.571762 0.33313,-12.554874 m -0.33313,12.554874 0.33313,-12.554874"
|
||||
id="path1300-2-2-6"
|
||||
sodipodi:nodetypes="cc" />
|
||||
<path
|
||||
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-75-7-1)"
|
||||
d="m 165.29305,32.445235 0.33313,-12.554874 m -0.33313,12.554874 0.33313,-12.554874"
|
||||
id="path1300-2-2-6-9"
|
||||
sodipodi:nodetypes="cc" />
|
||||
<circle
|
||||
style="fill:#ff0000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
|
||||
id="path3663"
|
||||
cx="147.35568"
|
||||
cy="95.24971"
|
||||
r="2.7302806" />
|
||||
<circle
|
||||
style="fill:#008000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
|
||||
id="path3663-3"
|
||||
cx="139.48744"
|
||||
cy="95.24971"
|
||||
r="2.7302806" />
|
||||
<circle
|
||||
style="fill:#800080;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
|
||||
id="path3663-6"
|
||||
cx="119.58919"
|
||||
cy="67.645035"
|
||||
r="2.7302806" />
|
||||
<circle
|
||||
style="fill:#ff0000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
|
||||
id="path3663-1"
|
||||
cx="18.004833"
|
||||
cy="39.402473"
|
||||
r="2.7302806" />
|
||||
<circle
|
||||
style="fill:#008000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
|
||||
id="path3663-3-0"
|
||||
cx="18.004833"
|
||||
cy="30.371933"
|
||||
r="2.7302806" />
|
||||
<circle
|
||||
style="fill:#800080;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
|
||||
id="path3663-6-6"
|
||||
cx="18.004833"
|
||||
cy="21.341394"
|
||||
r="2.7302806" />
|
||||
<text
|
||||
xml:space="preserve"
|
||||
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;stroke-width:0.264583;fill:#000000"
|
||||
x="6.9525447"
|
||||
y="13.702217"
|
||||
id="text3707"><tspan
|
||||
sodipodi:role="line"
|
||||
id="tspan3705"
|
||||
style="stroke-width:0.264583;fill:#000000"
|
||||
x="6.9525447"
|
||||
y="13.702217">$write(\{a\})$:</tspan></text>
|
||||
<text
|
||||
xml:space="preserve"
|
||||
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
|
||||
x="23.457415"
|
||||
y="24.042637"
|
||||
id="text3750"><tspan
|
||||
sodipodi:role="line"
|
||||
id="tspan3748"
|
||||
style="fill:#000000;stroke-width:0.264583"
|
||||
x="23.457415"
|
||||
y="24.042637">$\sqsupseteq \{a\} \to$ OK</tspan></text>
|
||||
<text
|
||||
xml:space="preserve"
|
||||
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#999999;stroke-width:0.264583"
|
||||
x="23.457415"
|
||||
y="33.02087"
|
||||
id="text3750-3"><tspan
|
||||
sodipodi:role="line"
|
||||
id="tspan3748-2"
|
||||
style="fill:#999999;stroke-width:0.264583"
|
||||
x="23.457415"
|
||||
y="33.02087">$\not\sqsupseteq \{a\}$</tspan></text>
|
||||
<text
|
||||
xml:space="preserve"
|
||||
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#999999;stroke-width:0.264583"
|
||||
x="23.457415"
|
||||
y="41.972523"
|
||||
id="text3750-0"><tspan
|
||||
sodipodi:role="line"
|
||||
id="tspan3748-6"
|
||||
style="fill:#999999;stroke-width:0.264583"
|
||||
x="23.457415"
|
||||
y="41.972523">$\not\sqsupseteq \{a\}$</tspan></text>
|
||||
</g>
|
||||
</svg>
|
||||
|
After Width: | Height: | Size: 18 KiB |
525
doc/talks/2023-01-18-tocatta/assets/lattice4.svg
Normal file
525
doc/talks/2023-01-18-tocatta/assets/lattice4.svg
Normal file
|
|
@ -0,0 +1,525 @@
|
|||
<?xml version="1.0" encoding="UTF-8" standalone="no"?>
|
||||
<!-- Created with Inkscape (http://www.inkscape.org/) -->
|
||||
|
||||
<svg
|
||||
width="1000"
|
||||
height="400"
|
||||
viewBox="0 0 264.58333 105.83333"
|
||||
version="1.1"
|
||||
id="svg5"
|
||||
inkscape:version="1.2.2 (b0a8486541, 2022-12-01)"
|
||||
sodipodi:docname="lattice4.svg"
|
||||
xmlns:inkscape="http://www.inkscape.org/namespaces/inkscape"
|
||||
xmlns:sodipodi="http://sodipodi.sourceforge.net/DTD/sodipodi-0.dtd"
|
||||
xmlns="http://www.w3.org/2000/svg"
|
||||
xmlns:svg="http://www.w3.org/2000/svg">
|
||||
<sodipodi:namedview
|
||||
id="namedview7"
|
||||
pagecolor="#ffffff"
|
||||
bordercolor="#666666"
|
||||
borderopacity="1.0"
|
||||
inkscape:showpageshadow="2"
|
||||
inkscape:pageopacity="0.0"
|
||||
inkscape:pagecheckerboard="0"
|
||||
inkscape:deskcolor="#d1d1d1"
|
||||
inkscape:document-units="mm"
|
||||
showgrid="false"
|
||||
inkscape:zoom="0.73673541"
|
||||
inkscape:cx="287.07728"
|
||||
inkscape:cy="294.54265"
|
||||
inkscape:window-width="1920"
|
||||
inkscape:window-height="999"
|
||||
inkscape:window-x="0"
|
||||
inkscape:window-y="0"
|
||||
inkscape:window-maximized="1"
|
||||
inkscape:current-layer="layer2" />
|
||||
<defs
|
||||
id="defs2">
|
||||
<marker
|
||||
style="overflow:visible"
|
||||
id="Arrow2"
|
||||
refX="0"
|
||||
refY="0"
|
||||
orient="auto-start-reverse"
|
||||
inkscape:stockid="Arrow2"
|
||||
markerWidth="7.6999998"
|
||||
markerHeight="5.5999999"
|
||||
viewBox="0 0 7.7 5.6"
|
||||
inkscape:isstock="true"
|
||||
inkscape:collect="always"
|
||||
preserveAspectRatio="xMidYMid">
|
||||
<path
|
||||
transform="scale(0.7)"
|
||||
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
|
||||
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
|
||||
id="arrow2L" />
|
||||
</marker>
|
||||
<marker
|
||||
style="overflow:visible"
|
||||
id="Arrow2-9"
|
||||
refX="0"
|
||||
refY="0"
|
||||
orient="auto-start-reverse"
|
||||
inkscape:stockid="Arrow2"
|
||||
markerWidth="7.6999998"
|
||||
markerHeight="5.5999999"
|
||||
viewBox="0 0 7.7 5.6"
|
||||
inkscape:isstock="true"
|
||||
inkscape:collect="always"
|
||||
preserveAspectRatio="xMidYMid">
|
||||
<path
|
||||
transform="scale(0.7)"
|
||||
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
|
||||
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
|
||||
id="arrow2L-1" />
|
||||
</marker>
|
||||
<marker
|
||||
style="overflow:visible"
|
||||
id="Arrow2-9-7"
|
||||
refX="0"
|
||||
refY="0"
|
||||
orient="auto-start-reverse"
|
||||
inkscape:stockid="Arrow2"
|
||||
markerWidth="7.6999998"
|
||||
markerHeight="5.5999999"
|
||||
viewBox="0 0 7.7 5.6"
|
||||
inkscape:isstock="true"
|
||||
inkscape:collect="always"
|
||||
preserveAspectRatio="xMidYMid">
|
||||
<path
|
||||
transform="scale(0.7)"
|
||||
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
|
||||
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
|
||||
id="arrow2L-1-0" />
|
||||
</marker>
|
||||
<marker
|
||||
style="overflow:visible"
|
||||
id="Arrow2-93"
|
||||
refX="0"
|
||||
refY="0"
|
||||
orient="auto-start-reverse"
|
||||
inkscape:stockid="Arrow2"
|
||||
markerWidth="7.6999998"
|
||||
markerHeight="5.5999999"
|
||||
viewBox="0 0 7.7 5.6"
|
||||
inkscape:isstock="true"
|
||||
inkscape:collect="always"
|
||||
preserveAspectRatio="xMidYMid">
|
||||
<path
|
||||
transform="scale(0.7)"
|
||||
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
|
||||
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
|
||||
id="arrow2L-6" />
|
||||
</marker>
|
||||
<marker
|
||||
style="overflow:visible"
|
||||
id="Arrow2-9-7-2"
|
||||
refX="0"
|
||||
refY="0"
|
||||
orient="auto-start-reverse"
|
||||
inkscape:stockid="Arrow2"
|
||||
markerWidth="7.6999998"
|
||||
markerHeight="5.5999999"
|
||||
viewBox="0 0 7.7 5.6"
|
||||
inkscape:isstock="true"
|
||||
inkscape:collect="always"
|
||||
preserveAspectRatio="xMidYMid">
|
||||
<path
|
||||
transform="scale(0.7)"
|
||||
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
|
||||
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
|
||||
id="arrow2L-1-0-6" />
|
||||
</marker>
|
||||
<marker
|
||||
style="overflow:visible"
|
||||
id="Arrow2-93-1"
|
||||
refX="0"
|
||||
refY="0"
|
||||
orient="auto-start-reverse"
|
||||
inkscape:stockid="Arrow2"
|
||||
markerWidth="7.6999998"
|
||||
markerHeight="5.5999999"
|
||||
viewBox="0 0 7.7 5.6"
|
||||
inkscape:isstock="true"
|
||||
inkscape:collect="always"
|
||||
preserveAspectRatio="xMidYMid">
|
||||
<path
|
||||
transform="scale(0.7)"
|
||||
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
|
||||
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
|
||||
id="arrow2L-6-8" />
|
||||
</marker>
|
||||
<marker
|
||||
style="overflow:visible"
|
||||
id="Arrow2-9-75"
|
||||
refX="0"
|
||||
refY="0"
|
||||
orient="auto-start-reverse"
|
||||
inkscape:stockid="Arrow2"
|
||||
markerWidth="7.6999998"
|
||||
markerHeight="5.5999999"
|
||||
viewBox="0 0 7.7 5.6"
|
||||
inkscape:isstock="true"
|
||||
inkscape:collect="always"
|
||||
preserveAspectRatio="xMidYMid">
|
||||
<path
|
||||
transform="scale(0.7)"
|
||||
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
|
||||
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
|
||||
id="arrow2L-1-9" />
|
||||
</marker>
|
||||
<marker
|
||||
style="overflow:visible"
|
||||
id="Arrow2-9-75-2"
|
||||
refX="0"
|
||||
refY="0"
|
||||
orient="auto-start-reverse"
|
||||
inkscape:stockid="Arrow2"
|
||||
markerWidth="7.6999998"
|
||||
markerHeight="5.5999999"
|
||||
viewBox="0 0 7.7 5.6"
|
||||
inkscape:isstock="true"
|
||||
inkscape:collect="always"
|
||||
preserveAspectRatio="xMidYMid">
|
||||
<path
|
||||
transform="scale(0.7)"
|
||||
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
|
||||
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
|
||||
id="arrow2L-1-9-8" />
|
||||
</marker>
|
||||
<marker
|
||||
style="overflow:visible"
|
||||
id="Arrow2-9-75-7"
|
||||
refX="0"
|
||||
refY="0"
|
||||
orient="auto-start-reverse"
|
||||
inkscape:stockid="Arrow2"
|
||||
markerWidth="7.6999998"
|
||||
markerHeight="5.5999999"
|
||||
viewBox="0 0 7.7 5.6"
|
||||
inkscape:isstock="true"
|
||||
inkscape:collect="always"
|
||||
preserveAspectRatio="xMidYMid">
|
||||
<path
|
||||
transform="scale(0.7)"
|
||||
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
|
||||
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
|
||||
id="arrow2L-1-9-3" />
|
||||
</marker>
|
||||
<marker
|
||||
style="overflow:visible"
|
||||
id="Arrow2-9-75-7-1"
|
||||
refX="0"
|
||||
refY="0"
|
||||
orient="auto-start-reverse"
|
||||
inkscape:stockid="Arrow2"
|
||||
markerWidth="7.6999998"
|
||||
markerHeight="5.5999999"
|
||||
viewBox="0 0 7.7 5.6"
|
||||
inkscape:isstock="true"
|
||||
inkscape:collect="always"
|
||||
preserveAspectRatio="xMidYMid">
|
||||
<path
|
||||
transform="scale(0.7)"
|
||||
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
|
||||
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
|
||||
id="arrow2L-1-9-3-2" />
|
||||
</marker>
|
||||
<marker
|
||||
style="overflow:visible"
|
||||
id="Arrow2-93-1-4"
|
||||
refX="0"
|
||||
refY="0"
|
||||
orient="auto-start-reverse"
|
||||
inkscape:stockid="Arrow2"
|
||||
markerWidth="7.6999998"
|
||||
markerHeight="5.5999999"
|
||||
viewBox="0 0 7.7 5.6"
|
||||
inkscape:isstock="true"
|
||||
inkscape:collect="always"
|
||||
preserveAspectRatio="xMidYMid">
|
||||
<path
|
||||
transform="scale(0.7)"
|
||||
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
|
||||
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
|
||||
id="arrow2L-6-8-7" />
|
||||
</marker>
|
||||
<marker
|
||||
style="overflow:visible"
|
||||
id="Arrow2-9-7-2-8"
|
||||
refX="0"
|
||||
refY="0"
|
||||
orient="auto-start-reverse"
|
||||
inkscape:stockid="Arrow2"
|
||||
markerWidth="7.6999998"
|
||||
markerHeight="5.5999999"
|
||||
viewBox="0 0 7.7 5.6"
|
||||
inkscape:isstock="true"
|
||||
inkscape:collect="always"
|
||||
preserveAspectRatio="xMidYMid">
|
||||
<path
|
||||
transform="scale(0.7)"
|
||||
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
|
||||
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
|
||||
id="arrow2L-1-0-6-4" />
|
||||
</marker>
|
||||
</defs>
|
||||
<g
|
||||
inkscape:label="Layer 1"
|
||||
inkscape:groupmode="layer"
|
||||
id="layer1"
|
||||
sodipodi:insensitive="true">
|
||||
<rect
|
||||
style="fill:#ffffff;stroke:none;stroke-width:1;stop-color:#000000"
|
||||
id="rect288"
|
||||
width="209.84705"
|
||||
height="104.42732"
|
||||
x="0.77790999"
|
||||
y="0.93738818" />
|
||||
</g>
|
||||
<g
|
||||
inkscape:groupmode="layer"
|
||||
id="layer2"
|
||||
inkscape:label="Layer 2">
|
||||
<text
|
||||
xml:space="preserve"
|
||||
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
|
||||
x="164.56372"
|
||||
y="99.307442"
|
||||
id="text951"><tspan
|
||||
sodipodi:role="line"
|
||||
id="tspan949"
|
||||
style="stroke-width:0.264583;fill:#000000"
|
||||
x="164.56372"
|
||||
y="99.307442">$\{\}$</tspan></text>
|
||||
<text
|
||||
xml:space="preserve"
|
||||
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
|
||||
x="164.56372"
|
||||
y="13.151893"
|
||||
id="text1005"><tspan
|
||||
sodipodi:role="line"
|
||||
id="tspan1003"
|
||||
style="stroke-width:0.264583;fill:#000000"
|
||||
x="164.56372"
|
||||
y="13.151893">$\{a,b,c\}$</tspan></text>
|
||||
<g
|
||||
id="g1175"
|
||||
transform="translate(51.996784,3.5774043)">
|
||||
<text
|
||||
xml:space="preserve"
|
||||
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
|
||||
x="49.27084"
|
||||
y="67.008698"
|
||||
id="text1009"><tspan
|
||||
sodipodi:role="line"
|
||||
id="tspan1007"
|
||||
style="stroke-width:0.264583;fill:#000000"
|
||||
x="49.27084"
|
||||
y="67.008698">$\{a\}$</tspan></text>
|
||||
<text
|
||||
xml:space="preserve"
|
||||
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
|
||||
x="112.90984"
|
||||
y="67.017166"
|
||||
id="text1009-3"><tspan
|
||||
sodipodi:role="line"
|
||||
id="tspan1007-6"
|
||||
style="stroke-width:0.264583;fill:#000000"
|
||||
x="112.90984"
|
||||
y="67.017166">$\{b\}$</tspan></text>
|
||||
<text
|
||||
xml:space="preserve"
|
||||
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
|
||||
x="176.20593"
|
||||
y="67.008698"
|
||||
id="text1009-7"><tspan
|
||||
sodipodi:role="line"
|
||||
id="tspan1007-5"
|
||||
style="stroke-width:0.264583;fill:#000000"
|
||||
x="176.20593"
|
||||
y="67.008698">$\{c\}$</tspan></text>
|
||||
</g>
|
||||
<g
|
||||
id="g1183"
|
||||
transform="translate(51.996784,1.0317046)"
|
||||
style="fill:#000000">
|
||||
<text
|
||||
xml:space="preserve"
|
||||
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
|
||||
x="112.90984"
|
||||
y="40.841526"
|
||||
id="text1117"><tspan
|
||||
sodipodi:role="line"
|
||||
id="tspan1115"
|
||||
style="stroke-width:0.264583;fill:#000000"
|
||||
x="112.90984"
|
||||
y="40.841526">$\{a,c\}$</tspan></text>
|
||||
<text
|
||||
xml:space="preserve"
|
||||
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
|
||||
x="49.27084"
|
||||
y="40.841526"
|
||||
id="text1117-3"><tspan
|
||||
sodipodi:role="line"
|
||||
id="tspan1115-5"
|
||||
style="stroke-width:0.264583;fill:#000000"
|
||||
x="49.27084"
|
||||
y="40.841526">$\{a,b\}$</tspan></text>
|
||||
<text
|
||||
xml:space="preserve"
|
||||
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
|
||||
x="176.20593"
|
||||
y="40.841526"
|
||||
id="text1117-6"><tspan
|
||||
sodipodi:role="line"
|
||||
id="tspan1115-2"
|
||||
style="stroke-width:0.264583;fill:#000000"
|
||||
x="176.20593"
|
||||
y="40.841526">$\{b,c\}$</tspan></text>
|
||||
</g>
|
||||
<path
|
||||
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2)"
|
||||
d="M 153.33622,90.367682 118.34198,73.428915"
|
||||
id="path1300" />
|
||||
<path
|
||||
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9)"
|
||||
d="M 177.46016,90.367682 212.4544,73.428915"
|
||||
id="path1300-2" />
|
||||
<path
|
||||
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-93)"
|
||||
d="M 153.33622,61.655656 118.34198,44.716889"
|
||||
id="path1300-0" />
|
||||
<path
|
||||
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-7)"
|
||||
d="M 177.46016,61.655656 212.4544,44.716889"
|
||||
id="path1300-2-6" />
|
||||
<path
|
||||
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-93-1)"
|
||||
d="M 118.34198,61.655656 153.33622,44.716889"
|
||||
id="path1300-0-7" />
|
||||
<path
|
||||
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-7-2)"
|
||||
d="M 212.4544,61.655656 177.46016,44.716889"
|
||||
id="path1300-2-6-9" />
|
||||
<path
|
||||
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-93-1-4)"
|
||||
d="M 118.34198,34.227412 153.33622,17.288645"
|
||||
id="path1300-0-7-5" />
|
||||
<path
|
||||
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-7-2-8)"
|
||||
d="M 212.4544,34.227412 177.46016,17.288645"
|
||||
id="path1300-2-6-9-0" />
|
||||
<path
|
||||
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-75)"
|
||||
d="m 228.52843,61.091809 0.33313,-12.554874 m -0.33313,12.554874 0.33313,-12.554874"
|
||||
id="path1300-2-2"
|
||||
sodipodi:nodetypes="cc" />
|
||||
<path
|
||||
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-75-2)"
|
||||
d="m 101.90418,61.091809 0.33313,-12.554874 m -0.33313,12.554874 0.33313,-12.554874"
|
||||
id="path1300-2-2-9"
|
||||
sodipodi:nodetypes="cc" />
|
||||
<path
|
||||
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-75-7)"
|
||||
d="m 165.29305,89.571762 0.33313,-12.554874 m -0.33313,12.554874 0.33313,-12.554874"
|
||||
id="path1300-2-2-6"
|
||||
sodipodi:nodetypes="cc" />
|
||||
<path
|
||||
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-75-7-1)"
|
||||
d="m 165.29305,32.445235 0.33313,-12.554874 m -0.33313,12.554874 0.33313,-12.554874"
|
||||
id="path1300-2-2-6-9"
|
||||
sodipodi:nodetypes="cc" />
|
||||
<circle
|
||||
style="fill:#ff0000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
|
||||
id="path3663"
|
||||
cx="147.35568"
|
||||
cy="95.24971"
|
||||
r="2.7302806" />
|
||||
<circle
|
||||
style="fill:#008000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
|
||||
id="path3663-3"
|
||||
cx="126.08154"
|
||||
cy="67.968384"
|
||||
r="2.7302806" />
|
||||
<circle
|
||||
style="fill:#800080;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
|
||||
id="path3663-6"
|
||||
cx="119.58919"
|
||||
cy="67.645035"
|
||||
r="2.7302806" />
|
||||
<circle
|
||||
style="fill:#ff0000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
|
||||
id="path3663-1"
|
||||
cx="18.004833"
|
||||
cy="39.402473"
|
||||
r="2.7302806" />
|
||||
<circle
|
||||
style="fill:#008000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
|
||||
id="path3663-3-0"
|
||||
cx="18.004833"
|
||||
cy="30.371933"
|
||||
r="2.7302806" />
|
||||
<circle
|
||||
style="fill:#800080;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
|
||||
id="path3663-6-6"
|
||||
cx="18.004833"
|
||||
cy="21.341394"
|
||||
r="2.7302806" />
|
||||
<text
|
||||
xml:space="preserve"
|
||||
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;stroke-width:0.264583;fill:#000000"
|
||||
x="6.9525447"
|
||||
y="13.702217"
|
||||
id="text3707"><tspan
|
||||
sodipodi:role="line"
|
||||
id="tspan3705"
|
||||
style="stroke-width:0.264583;fill:#000000"
|
||||
x="6.9525447"
|
||||
y="13.702217">$write(\{a\})$:</tspan></text>
|
||||
<text
|
||||
xml:space="preserve"
|
||||
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
|
||||
x="23.457415"
|
||||
y="24.042637"
|
||||
id="text3750"><tspan
|
||||
sodipodi:role="line"
|
||||
id="tspan3748"
|
||||
style="fill:#000000;stroke-width:0.264583"
|
||||
x="23.457415"
|
||||
y="24.042637">$\sqsupseteq \{a\} \to$ OK</tspan></text>
|
||||
<text
|
||||
xml:space="preserve"
|
||||
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
|
||||
x="23.457415"
|
||||
y="33.02087"
|
||||
id="text3750-3"><tspan
|
||||
sodipodi:role="line"
|
||||
id="tspan3748-2"
|
||||
style="fill:#000000;stroke-width:0.264583"
|
||||
x="23.457415"
|
||||
y="33.02087">$\sqsupseteq \{a\} \to$ OK</tspan></text>
|
||||
<text
|
||||
xml:space="preserve"
|
||||
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#999999;stroke-width:0.264583"
|
||||
x="23.457415"
|
||||
y="41.972523"
|
||||
id="text3750-0"><tspan
|
||||
sodipodi:role="line"
|
||||
id="tspan3748-6"
|
||||
style="fill:#999999;stroke-width:0.264583"
|
||||
x="23.457415"
|
||||
y="41.972523">$\not\sqsupseteq \{a\}$</tspan></text>
|
||||
<text
|
||||
xml:space="preserve"
|
||||
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
|
||||
x="14.395845"
|
||||
y="52.022549"
|
||||
id="text4280"><tspan
|
||||
sodipodi:role="line"
|
||||
id="tspan4278"
|
||||
style="fill:#000000;stroke-width:0.264583"
|
||||
x="14.395845"
|
||||
y="52.022549">return OK</tspan></text>
|
||||
</g>
|
||||
</svg>
|
||||
|
After Width: | Height: | Size: 18 KiB |
536
doc/talks/2023-01-18-tocatta/assets/lattice5.svg
Normal file
536
doc/talks/2023-01-18-tocatta/assets/lattice5.svg
Normal file
|
|
@ -0,0 +1,536 @@
|
|||
<?xml version="1.0" encoding="UTF-8" standalone="no"?>
|
||||
<!-- Created with Inkscape (http://www.inkscape.org/) -->
|
||||
|
||||
<svg
|
||||
width="1000"
|
||||
height="400"
|
||||
viewBox="0 0 264.58333 105.83333"
|
||||
version="1.1"
|
||||
id="svg5"
|
||||
inkscape:version="1.2.2 (b0a8486541, 2022-12-01)"
|
||||
sodipodi:docname="lattice5.svg"
|
||||
xmlns:inkscape="http://www.inkscape.org/namespaces/inkscape"
|
||||
xmlns:sodipodi="http://sodipodi.sourceforge.net/DTD/sodipodi-0.dtd"
|
||||
xmlns="http://www.w3.org/2000/svg"
|
||||
xmlns:svg="http://www.w3.org/2000/svg">
|
||||
<sodipodi:namedview
|
||||
id="namedview7"
|
||||
pagecolor="#ffffff"
|
||||
bordercolor="#666666"
|
||||
borderopacity="1.0"
|
||||
inkscape:showpageshadow="2"
|
||||
inkscape:pageopacity="0.0"
|
||||
inkscape:pagecheckerboard="0"
|
||||
inkscape:deskcolor="#d1d1d1"
|
||||
inkscape:document-units="mm"
|
||||
showgrid="false"
|
||||
inkscape:zoom="1.0419012"
|
||||
inkscape:cx="276.89766"
|
||||
inkscape:cy="254.34273"
|
||||
inkscape:window-width="1920"
|
||||
inkscape:window-height="999"
|
||||
inkscape:window-x="0"
|
||||
inkscape:window-y="0"
|
||||
inkscape:window-maximized="1"
|
||||
inkscape:current-layer="layer2" />
|
||||
<defs
|
||||
id="defs2">
|
||||
<marker
|
||||
style="overflow:visible"
|
||||
id="Arrow2"
|
||||
refX="0"
|
||||
refY="0"
|
||||
orient="auto-start-reverse"
|
||||
inkscape:stockid="Arrow2"
|
||||
markerWidth="7.6999998"
|
||||
markerHeight="5.5999999"
|
||||
viewBox="0 0 7.7 5.6"
|
||||
inkscape:isstock="true"
|
||||
inkscape:collect="always"
|
||||
preserveAspectRatio="xMidYMid">
|
||||
<path
|
||||
transform="scale(0.7)"
|
||||
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
|
||||
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
|
||||
id="arrow2L" />
|
||||
</marker>
|
||||
<marker
|
||||
style="overflow:visible"
|
||||
id="Arrow2-9"
|
||||
refX="0"
|
||||
refY="0"
|
||||
orient="auto-start-reverse"
|
||||
inkscape:stockid="Arrow2"
|
||||
markerWidth="7.6999998"
|
||||
markerHeight="5.5999999"
|
||||
viewBox="0 0 7.7 5.6"
|
||||
inkscape:isstock="true"
|
||||
inkscape:collect="always"
|
||||
preserveAspectRatio="xMidYMid">
|
||||
<path
|
||||
transform="scale(0.7)"
|
||||
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
|
||||
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
|
||||
id="arrow2L-1" />
|
||||
</marker>
|
||||
<marker
|
||||
style="overflow:visible"
|
||||
id="Arrow2-9-7"
|
||||
refX="0"
|
||||
refY="0"
|
||||
orient="auto-start-reverse"
|
||||
inkscape:stockid="Arrow2"
|
||||
markerWidth="7.6999998"
|
||||
markerHeight="5.5999999"
|
||||
viewBox="0 0 7.7 5.6"
|
||||
inkscape:isstock="true"
|
||||
inkscape:collect="always"
|
||||
preserveAspectRatio="xMidYMid">
|
||||
<path
|
||||
transform="scale(0.7)"
|
||||
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
|
||||
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
|
||||
id="arrow2L-1-0" />
|
||||
</marker>
|
||||
<marker
|
||||
style="overflow:visible"
|
||||
id="Arrow2-93"
|
||||
refX="0"
|
||||
refY="0"
|
||||
orient="auto-start-reverse"
|
||||
inkscape:stockid="Arrow2"
|
||||
markerWidth="7.6999998"
|
||||
markerHeight="5.5999999"
|
||||
viewBox="0 0 7.7 5.6"
|
||||
inkscape:isstock="true"
|
||||
inkscape:collect="always"
|
||||
preserveAspectRatio="xMidYMid">
|
||||
<path
|
||||
transform="scale(0.7)"
|
||||
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
|
||||
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
|
||||
id="arrow2L-6" />
|
||||
</marker>
|
||||
<marker
|
||||
style="overflow:visible"
|
||||
id="Arrow2-9-7-2"
|
||||
refX="0"
|
||||
refY="0"
|
||||
orient="auto-start-reverse"
|
||||
inkscape:stockid="Arrow2"
|
||||
markerWidth="7.6999998"
|
||||
markerHeight="5.5999999"
|
||||
viewBox="0 0 7.7 5.6"
|
||||
inkscape:isstock="true"
|
||||
inkscape:collect="always"
|
||||
preserveAspectRatio="xMidYMid">
|
||||
<path
|
||||
transform="scale(0.7)"
|
||||
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
|
||||
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
|
||||
id="arrow2L-1-0-6" />
|
||||
</marker>
|
||||
<marker
|
||||
style="overflow:visible"
|
||||
id="Arrow2-93-1"
|
||||
refX="0"
|
||||
refY="0"
|
||||
orient="auto-start-reverse"
|
||||
inkscape:stockid="Arrow2"
|
||||
markerWidth="7.6999998"
|
||||
markerHeight="5.5999999"
|
||||
viewBox="0 0 7.7 5.6"
|
||||
inkscape:isstock="true"
|
||||
inkscape:collect="always"
|
||||
preserveAspectRatio="xMidYMid">
|
||||
<path
|
||||
transform="scale(0.7)"
|
||||
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
|
||||
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
|
||||
id="arrow2L-6-8" />
|
||||
</marker>
|
||||
<marker
|
||||
style="overflow:visible"
|
||||
id="Arrow2-9-75"
|
||||
refX="0"
|
||||
refY="0"
|
||||
orient="auto-start-reverse"
|
||||
inkscape:stockid="Arrow2"
|
||||
markerWidth="7.6999998"
|
||||
markerHeight="5.5999999"
|
||||
viewBox="0 0 7.7 5.6"
|
||||
inkscape:isstock="true"
|
||||
inkscape:collect="always"
|
||||
preserveAspectRatio="xMidYMid">
|
||||
<path
|
||||
transform="scale(0.7)"
|
||||
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
|
||||
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
|
||||
id="arrow2L-1-9" />
|
||||
</marker>
|
||||
<marker
|
||||
style="overflow:visible"
|
||||
id="Arrow2-9-75-2"
|
||||
refX="0"
|
||||
refY="0"
|
||||
orient="auto-start-reverse"
|
||||
inkscape:stockid="Arrow2"
|
||||
markerWidth="7.6999998"
|
||||
markerHeight="5.5999999"
|
||||
viewBox="0 0 7.7 5.6"
|
||||
inkscape:isstock="true"
|
||||
inkscape:collect="always"
|
||||
preserveAspectRatio="xMidYMid">
|
||||
<path
|
||||
transform="scale(0.7)"
|
||||
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
|
||||
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
|
||||
id="arrow2L-1-9-8" />
|
||||
</marker>
|
||||
<marker
|
||||
style="overflow:visible"
|
||||
id="Arrow2-9-75-7"
|
||||
refX="0"
|
||||
refY="0"
|
||||
orient="auto-start-reverse"
|
||||
inkscape:stockid="Arrow2"
|
||||
markerWidth="7.6999998"
|
||||
markerHeight="5.5999999"
|
||||
viewBox="0 0 7.7 5.6"
|
||||
inkscape:isstock="true"
|
||||
inkscape:collect="always"
|
||||
preserveAspectRatio="xMidYMid">
|
||||
<path
|
||||
transform="scale(0.7)"
|
||||
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
|
||||
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
|
||||
id="arrow2L-1-9-3" />
|
||||
</marker>
|
||||
<marker
|
||||
style="overflow:visible"
|
||||
id="Arrow2-9-75-7-1"
|
||||
refX="0"
|
||||
refY="0"
|
||||
orient="auto-start-reverse"
|
||||
inkscape:stockid="Arrow2"
|
||||
markerWidth="7.6999998"
|
||||
markerHeight="5.5999999"
|
||||
viewBox="0 0 7.7 5.6"
|
||||
inkscape:isstock="true"
|
||||
inkscape:collect="always"
|
||||
preserveAspectRatio="xMidYMid">
|
||||
<path
|
||||
transform="scale(0.7)"
|
||||
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
|
||||
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
|
||||
id="arrow2L-1-9-3-2" />
|
||||
</marker>
|
||||
<marker
|
||||
style="overflow:visible"
|
||||
id="Arrow2-93-1-4"
|
||||
refX="0"
|
||||
refY="0"
|
||||
orient="auto-start-reverse"
|
||||
inkscape:stockid="Arrow2"
|
||||
markerWidth="7.6999998"
|
||||
markerHeight="5.5999999"
|
||||
viewBox="0 0 7.7 5.6"
|
||||
inkscape:isstock="true"
|
||||
inkscape:collect="always"
|
||||
preserveAspectRatio="xMidYMid">
|
||||
<path
|
||||
transform="scale(0.7)"
|
||||
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
|
||||
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
|
||||
id="arrow2L-6-8-7" />
|
||||
</marker>
|
||||
<marker
|
||||
style="overflow:visible"
|
||||
id="Arrow2-9-7-2-8"
|
||||
refX="0"
|
||||
refY="0"
|
||||
orient="auto-start-reverse"
|
||||
inkscape:stockid="Arrow2"
|
||||
markerWidth="7.6999998"
|
||||
markerHeight="5.5999999"
|
||||
viewBox="0 0 7.7 5.6"
|
||||
inkscape:isstock="true"
|
||||
inkscape:collect="always"
|
||||
preserveAspectRatio="xMidYMid">
|
||||
<path
|
||||
transform="scale(0.7)"
|
||||
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
|
||||
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
|
||||
id="arrow2L-1-0-6-4" />
|
||||
</marker>
|
||||
</defs>
|
||||
<g
|
||||
inkscape:label="Layer 1"
|
||||
inkscape:groupmode="layer"
|
||||
id="layer1"
|
||||
sodipodi:insensitive="true">
|
||||
<rect
|
||||
style="fill:#ffffff;stroke:none;stroke-width:1;stop-color:#000000"
|
||||
id="rect288"
|
||||
width="209.84705"
|
||||
height="104.42732"
|
||||
x="0.77790999"
|
||||
y="0.93738818" />
|
||||
</g>
|
||||
<g
|
||||
inkscape:groupmode="layer"
|
||||
id="layer2"
|
||||
inkscape:label="Layer 2">
|
||||
<text
|
||||
xml:space="preserve"
|
||||
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
|
||||
x="164.56372"
|
||||
y="99.307442"
|
||||
id="text951"><tspan
|
||||
sodipodi:role="line"
|
||||
id="tspan949"
|
||||
style="stroke-width:0.264583;fill:#000000"
|
||||
x="164.56372"
|
||||
y="99.307442">$\{\}$</tspan></text>
|
||||
<text
|
||||
xml:space="preserve"
|
||||
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
|
||||
x="164.56372"
|
||||
y="13.151893"
|
||||
id="text1005"><tspan
|
||||
sodipodi:role="line"
|
||||
id="tspan1003"
|
||||
style="stroke-width:0.264583;fill:#000000"
|
||||
x="164.56372"
|
||||
y="13.151893">$\{a,b,c\}$</tspan></text>
|
||||
<g
|
||||
id="g1175"
|
||||
transform="translate(51.996784,3.5774043)">
|
||||
<text
|
||||
xml:space="preserve"
|
||||
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
|
||||
x="49.27084"
|
||||
y="67.008698"
|
||||
id="text1009"><tspan
|
||||
sodipodi:role="line"
|
||||
id="tspan1007"
|
||||
style="stroke-width:0.264583;fill:#000000"
|
||||
x="49.27084"
|
||||
y="67.008698">$\{a\}$</tspan></text>
|
||||
<text
|
||||
xml:space="preserve"
|
||||
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
|
||||
x="112.90984"
|
||||
y="67.017166"
|
||||
id="text1009-3"><tspan
|
||||
sodipodi:role="line"
|
||||
id="tspan1007-6"
|
||||
style="stroke-width:0.264583;fill:#000000"
|
||||
x="112.90984"
|
||||
y="67.017166">$\{b\}$</tspan></text>
|
||||
<text
|
||||
xml:space="preserve"
|
||||
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
|
||||
x="176.20593"
|
||||
y="67.008698"
|
||||
id="text1009-7"><tspan
|
||||
sodipodi:role="line"
|
||||
id="tspan1007-5"
|
||||
style="stroke-width:0.264583;fill:#000000"
|
||||
x="176.20593"
|
||||
y="67.008698">$\{c\}$</tspan></text>
|
||||
</g>
|
||||
<g
|
||||
id="g1183"
|
||||
transform="translate(51.996784,1.0317046)"
|
||||
style="fill:#000000">
|
||||
<text
|
||||
xml:space="preserve"
|
||||
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
|
||||
x="112.90984"
|
||||
y="40.841526"
|
||||
id="text1117"><tspan
|
||||
sodipodi:role="line"
|
||||
id="tspan1115"
|
||||
style="stroke-width:0.264583;fill:#000000"
|
||||
x="112.90984"
|
||||
y="40.841526">$\{a,c\}$</tspan></text>
|
||||
<text
|
||||
xml:space="preserve"
|
||||
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
|
||||
x="49.27084"
|
||||
y="40.841526"
|
||||
id="text1117-3"><tspan
|
||||
sodipodi:role="line"
|
||||
id="tspan1115-5"
|
||||
style="stroke-width:0.264583;fill:#000000"
|
||||
x="49.27084"
|
||||
y="40.841526">$\{a,b\}$</tspan></text>
|
||||
<text
|
||||
xml:space="preserve"
|
||||
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
|
||||
x="176.20593"
|
||||
y="40.841526"
|
||||
id="text1117-6"><tspan
|
||||
sodipodi:role="line"
|
||||
id="tspan1115-2"
|
||||
style="stroke-width:0.264583;fill:#000000"
|
||||
x="176.20593"
|
||||
y="40.841526">$\{b,c\}$</tspan></text>
|
||||
</g>
|
||||
<path
|
||||
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2)"
|
||||
d="M 153.33622,90.367682 118.34198,73.428915"
|
||||
id="path1300" />
|
||||
<path
|
||||
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9)"
|
||||
d="M 177.46016,90.367682 212.4544,73.428915"
|
||||
id="path1300-2" />
|
||||
<path
|
||||
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-93)"
|
||||
d="M 153.33622,61.655656 118.34198,44.716889"
|
||||
id="path1300-0" />
|
||||
<path
|
||||
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-7)"
|
||||
d="M 177.46016,61.655656 212.4544,44.716889"
|
||||
id="path1300-2-6" />
|
||||
<path
|
||||
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-93-1)"
|
||||
d="M 118.34198,61.655656 153.33622,44.716889"
|
||||
id="path1300-0-7" />
|
||||
<path
|
||||
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-7-2)"
|
||||
d="M 212.4544,61.655656 177.46016,44.716889"
|
||||
id="path1300-2-6-9" />
|
||||
<path
|
||||
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-93-1-4)"
|
||||
d="M 118.34198,34.227412 153.33622,17.288645"
|
||||
id="path1300-0-7-5" />
|
||||
<path
|
||||
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-7-2-8)"
|
||||
d="M 212.4544,34.227412 177.46016,17.288645"
|
||||
id="path1300-2-6-9-0" />
|
||||
<path
|
||||
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-75)"
|
||||
d="m 228.52843,61.091809 0.33313,-12.554874 m -0.33313,12.554874 0.33313,-12.554874"
|
||||
id="path1300-2-2"
|
||||
sodipodi:nodetypes="cc" />
|
||||
<path
|
||||
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-75-2)"
|
||||
d="m 101.90418,61.091809 0.33313,-12.554874 m -0.33313,12.554874 0.33313,-12.554874"
|
||||
id="path1300-2-2-9"
|
||||
sodipodi:nodetypes="cc" />
|
||||
<path
|
||||
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-75-7)"
|
||||
d="m 165.29305,89.571762 0.33313,-12.554874 m -0.33313,12.554874 0.33313,-12.554874"
|
||||
id="path1300-2-2-6"
|
||||
sodipodi:nodetypes="cc" />
|
||||
<path
|
||||
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-75-7-1)"
|
||||
d="m 165.29305,32.445235 0.33313,-12.554874 m -0.33313,12.554874 0.33313,-12.554874"
|
||||
id="path1300-2-2-6-9"
|
||||
sodipodi:nodetypes="cc" />
|
||||
<circle
|
||||
style="fill:#ff0000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
|
||||
id="path3663"
|
||||
cx="147.35568"
|
||||
cy="95.24971"
|
||||
r="2.7302806" />
|
||||
<circle
|
||||
style="fill:#008000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
|
||||
id="path3663-3"
|
||||
cx="126.08154"
|
||||
cy="67.968384"
|
||||
r="2.7302806" />
|
||||
<circle
|
||||
style="fill:#800080;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
|
||||
id="path3663-6"
|
||||
cx="119.58919"
|
||||
cy="67.645035"
|
||||
r="2.7302806" />
|
||||
<circle
|
||||
style="fill:#ff0000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
|
||||
id="path3663-1"
|
||||
cx="18.004833"
|
||||
cy="39.402473"
|
||||
r="2.7302806" />
|
||||
<circle
|
||||
style="fill:#008000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
|
||||
id="path3663-3-0"
|
||||
cx="18.004833"
|
||||
cy="30.371933"
|
||||
r="2.7302806" />
|
||||
<circle
|
||||
style="fill:#800080;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
|
||||
id="path3663-6-6"
|
||||
cx="18.004833"
|
||||
cy="21.341394"
|
||||
r="2.7302806" />
|
||||
<text
|
||||
xml:space="preserve"
|
||||
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;stroke-width:0.264583;fill:#000000"
|
||||
x="6.9525447"
|
||||
y="13.702217"
|
||||
id="text3707"><tspan
|
||||
sodipodi:role="line"
|
||||
id="tspan3705"
|
||||
style="stroke-width:0.264583;fill:#000000"
|
||||
x="6.9525447"
|
||||
y="13.702217">$write(\{a\})$:</tspan></text>
|
||||
<text
|
||||
xml:space="preserve"
|
||||
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
|
||||
x="6.9525447"
|
||||
y="65.261436"
|
||||
id="text3707-1"><tspan
|
||||
sodipodi:role="line"
|
||||
id="tspan3705-5"
|
||||
style="fill:#000000;stroke-width:0.264583"
|
||||
x="6.9525447"
|
||||
y="65.261436">$read()$:</tspan></text>
|
||||
<text
|
||||
xml:space="preserve"
|
||||
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
|
||||
x="23.457415"
|
||||
y="24.042637"
|
||||
id="text3750"><tspan
|
||||
sodipodi:role="line"
|
||||
id="tspan3748"
|
||||
style="fill:#000000;stroke-width:0.264583"
|
||||
x="23.457415"
|
||||
y="24.042637">$\sqsupseteq \{a\} \to$ OK</tspan></text>
|
||||
<text
|
||||
xml:space="preserve"
|
||||
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
|
||||
x="23.457415"
|
||||
y="33.02087"
|
||||
id="text3750-3"><tspan
|
||||
sodipodi:role="line"
|
||||
id="tspan3748-2"
|
||||
style="fill:#000000;stroke-width:0.264583"
|
||||
x="23.457415"
|
||||
y="33.02087">$\sqsupseteq \{a\} \to$ OK</tspan></text>
|
||||
<text
|
||||
xml:space="preserve"
|
||||
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#999999;stroke-width:0.264583"
|
||||
x="23.457415"
|
||||
y="41.972523"
|
||||
id="text3750-0"><tspan
|
||||
sodipodi:role="line"
|
||||
id="tspan3748-6"
|
||||
style="fill:#999999;stroke-width:0.264583"
|
||||
x="23.457415"
|
||||
y="41.972523">$\not\sqsupseteq \{a\}$</tspan></text>
|
||||
<text
|
||||
xml:space="preserve"
|
||||
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
|
||||
x="14.395845"
|
||||
y="52.022549"
|
||||
id="text4280"><tspan
|
||||
sodipodi:role="line"
|
||||
id="tspan4278"
|
||||
style="fill:#000000;stroke-width:0.264583"
|
||||
x="14.395845"
|
||||
y="52.022549">return OK</tspan></text>
|
||||
</g>
|
||||
</svg>
|
||||
|
After Width: | Height: | Size: 19 KiB |
553
doc/talks/2023-01-18-tocatta/assets/lattice6.svg
Normal file
553
doc/talks/2023-01-18-tocatta/assets/lattice6.svg
Normal file
|
|
@ -0,0 +1,553 @@
|
|||
<?xml version="1.0" encoding="UTF-8" standalone="no"?>
|
||||
<!-- Created with Inkscape (http://www.inkscape.org/) -->
|
||||
|
||||
<svg
|
||||
width="1000"
|
||||
height="400"
|
||||
viewBox="0 0 264.58333 105.83333"
|
||||
version="1.1"
|
||||
id="svg5"
|
||||
inkscape:version="1.2.2 (b0a8486541, 2022-12-01)"
|
||||
sodipodi:docname="lattice6.svg"
|
||||
xmlns:inkscape="http://www.inkscape.org/namespaces/inkscape"
|
||||
xmlns:sodipodi="http://sodipodi.sourceforge.net/DTD/sodipodi-0.dtd"
|
||||
xmlns="http://www.w3.org/2000/svg"
|
||||
xmlns:svg="http://www.w3.org/2000/svg">
|
||||
<sodipodi:namedview
|
||||
id="namedview7"
|
||||
pagecolor="#ffffff"
|
||||
bordercolor="#666666"
|
||||
borderopacity="1.0"
|
||||
inkscape:showpageshadow="2"
|
||||
inkscape:pageopacity="0.0"
|
||||
inkscape:pagecheckerboard="0"
|
||||
inkscape:deskcolor="#d1d1d1"
|
||||
inkscape:document-units="mm"
|
||||
showgrid="false"
|
||||
inkscape:zoom="1.0419012"
|
||||
inkscape:cx="277.85744"
|
||||
inkscape:cy="254.34273"
|
||||
inkscape:window-width="1920"
|
||||
inkscape:window-height="999"
|
||||
inkscape:window-x="0"
|
||||
inkscape:window-y="0"
|
||||
inkscape:window-maximized="1"
|
||||
inkscape:current-layer="layer2" />
|
||||
<defs
|
||||
id="defs2">
|
||||
<marker
|
||||
style="overflow:visible"
|
||||
id="Arrow2"
|
||||
refX="0"
|
||||
refY="0"
|
||||
orient="auto-start-reverse"
|
||||
inkscape:stockid="Arrow2"
|
||||
markerWidth="7.6999998"
|
||||
markerHeight="5.5999999"
|
||||
viewBox="0 0 7.7 5.6"
|
||||
inkscape:isstock="true"
|
||||
inkscape:collect="always"
|
||||
preserveAspectRatio="xMidYMid">
|
||||
<path
|
||||
transform="scale(0.7)"
|
||||
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
|
||||
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
|
||||
id="arrow2L" />
|
||||
</marker>
|
||||
<marker
|
||||
style="overflow:visible"
|
||||
id="Arrow2-9"
|
||||
refX="0"
|
||||
refY="0"
|
||||
orient="auto-start-reverse"
|
||||
inkscape:stockid="Arrow2"
|
||||
markerWidth="7.6999998"
|
||||
markerHeight="5.5999999"
|
||||
viewBox="0 0 7.7 5.6"
|
||||
inkscape:isstock="true"
|
||||
inkscape:collect="always"
|
||||
preserveAspectRatio="xMidYMid">
|
||||
<path
|
||||
transform="scale(0.7)"
|
||||
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
|
||||
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
|
||||
id="arrow2L-1" />
|
||||
</marker>
|
||||
<marker
|
||||
style="overflow:visible"
|
||||
id="Arrow2-9-7"
|
||||
refX="0"
|
||||
refY="0"
|
||||
orient="auto-start-reverse"
|
||||
inkscape:stockid="Arrow2"
|
||||
markerWidth="7.6999998"
|
||||
markerHeight="5.5999999"
|
||||
viewBox="0 0 7.7 5.6"
|
||||
inkscape:isstock="true"
|
||||
inkscape:collect="always"
|
||||
preserveAspectRatio="xMidYMid">
|
||||
<path
|
||||
transform="scale(0.7)"
|
||||
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
|
||||
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
|
||||
id="arrow2L-1-0" />
|
||||
</marker>
|
||||
<marker
|
||||
style="overflow:visible"
|
||||
id="Arrow2-93"
|
||||
refX="0"
|
||||
refY="0"
|
||||
orient="auto-start-reverse"
|
||||
inkscape:stockid="Arrow2"
|
||||
markerWidth="7.6999998"
|
||||
markerHeight="5.5999999"
|
||||
viewBox="0 0 7.7 5.6"
|
||||
inkscape:isstock="true"
|
||||
inkscape:collect="always"
|
||||
preserveAspectRatio="xMidYMid">
|
||||
<path
|
||||
transform="scale(0.7)"
|
||||
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
|
||||
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
|
||||
id="arrow2L-6" />
|
||||
</marker>
|
||||
<marker
|
||||
style="overflow:visible"
|
||||
id="Arrow2-9-7-2"
|
||||
refX="0"
|
||||
refY="0"
|
||||
orient="auto-start-reverse"
|
||||
inkscape:stockid="Arrow2"
|
||||
markerWidth="7.6999998"
|
||||
markerHeight="5.5999999"
|
||||
viewBox="0 0 7.7 5.6"
|
||||
inkscape:isstock="true"
|
||||
inkscape:collect="always"
|
||||
preserveAspectRatio="xMidYMid">
|
||||
<path
|
||||
transform="scale(0.7)"
|
||||
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
|
||||
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
|
||||
id="arrow2L-1-0-6" />
|
||||
</marker>
|
||||
<marker
|
||||
style="overflow:visible"
|
||||
id="Arrow2-93-1"
|
||||
refX="0"
|
||||
refY="0"
|
||||
orient="auto-start-reverse"
|
||||
inkscape:stockid="Arrow2"
|
||||
markerWidth="7.6999998"
|
||||
markerHeight="5.5999999"
|
||||
viewBox="0 0 7.7 5.6"
|
||||
inkscape:isstock="true"
|
||||
inkscape:collect="always"
|
||||
preserveAspectRatio="xMidYMid">
|
||||
<path
|
||||
transform="scale(0.7)"
|
||||
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
|
||||
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
|
||||
id="arrow2L-6-8" />
|
||||
</marker>
|
||||
<marker
|
||||
style="overflow:visible"
|
||||
id="Arrow2-9-75"
|
||||
refX="0"
|
||||
refY="0"
|
||||
orient="auto-start-reverse"
|
||||
inkscape:stockid="Arrow2"
|
||||
markerWidth="7.6999998"
|
||||
markerHeight="5.5999999"
|
||||
viewBox="0 0 7.7 5.6"
|
||||
inkscape:isstock="true"
|
||||
inkscape:collect="always"
|
||||
preserveAspectRatio="xMidYMid">
|
||||
<path
|
||||
transform="scale(0.7)"
|
||||
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
|
||||
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
|
||||
id="arrow2L-1-9" />
|
||||
</marker>
|
||||
<marker
|
||||
style="overflow:visible"
|
||||
id="Arrow2-9-75-2"
|
||||
refX="0"
|
||||
refY="0"
|
||||
orient="auto-start-reverse"
|
||||
inkscape:stockid="Arrow2"
|
||||
markerWidth="7.6999998"
|
||||
markerHeight="5.5999999"
|
||||
viewBox="0 0 7.7 5.6"
|
||||
inkscape:isstock="true"
|
||||
inkscape:collect="always"
|
||||
preserveAspectRatio="xMidYMid">
|
||||
<path
|
||||
transform="scale(0.7)"
|
||||
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
|
||||
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
|
||||
id="arrow2L-1-9-8" />
|
||||
</marker>
|
||||
<marker
|
||||
style="overflow:visible"
|
||||
id="Arrow2-9-75-7"
|
||||
refX="0"
|
||||
refY="0"
|
||||
orient="auto-start-reverse"
|
||||
inkscape:stockid="Arrow2"
|
||||
markerWidth="7.6999998"
|
||||
markerHeight="5.5999999"
|
||||
viewBox="0 0 7.7 5.6"
|
||||
inkscape:isstock="true"
|
||||
inkscape:collect="always"
|
||||
preserveAspectRatio="xMidYMid">
|
||||
<path
|
||||
transform="scale(0.7)"
|
||||
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
|
||||
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
|
||||
id="arrow2L-1-9-3" />
|
||||
</marker>
|
||||
<marker
|
||||
style="overflow:visible"
|
||||
id="Arrow2-9-75-7-1"
|
||||
refX="0"
|
||||
refY="0"
|
||||
orient="auto-start-reverse"
|
||||
inkscape:stockid="Arrow2"
|
||||
markerWidth="7.6999998"
|
||||
markerHeight="5.5999999"
|
||||
viewBox="0 0 7.7 5.6"
|
||||
inkscape:isstock="true"
|
||||
inkscape:collect="always"
|
||||
preserveAspectRatio="xMidYMid">
|
||||
<path
|
||||
transform="scale(0.7)"
|
||||
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
|
||||
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
|
||||
id="arrow2L-1-9-3-2" />
|
||||
</marker>
|
||||
<marker
|
||||
style="overflow:visible"
|
||||
id="Arrow2-93-1-4"
|
||||
refX="0"
|
||||
refY="0"
|
||||
orient="auto-start-reverse"
|
||||
inkscape:stockid="Arrow2"
|
||||
markerWidth="7.6999998"
|
||||
markerHeight="5.5999999"
|
||||
viewBox="0 0 7.7 5.6"
|
||||
inkscape:isstock="true"
|
||||
inkscape:collect="always"
|
||||
preserveAspectRatio="xMidYMid">
|
||||
<path
|
||||
transform="scale(0.7)"
|
||||
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
|
||||
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
|
||||
id="arrow2L-6-8-7" />
|
||||
</marker>
|
||||
<marker
|
||||
style="overflow:visible"
|
||||
id="Arrow2-9-7-2-8"
|
||||
refX="0"
|
||||
refY="0"
|
||||
orient="auto-start-reverse"
|
||||
inkscape:stockid="Arrow2"
|
||||
markerWidth="7.6999998"
|
||||
markerHeight="5.5999999"
|
||||
viewBox="0 0 7.7 5.6"
|
||||
inkscape:isstock="true"
|
||||
inkscape:collect="always"
|
||||
preserveAspectRatio="xMidYMid">
|
||||
<path
|
||||
transform="scale(0.7)"
|
||||
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
|
||||
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
|
||||
id="arrow2L-1-0-6-4" />
|
||||
</marker>
|
||||
</defs>
|
||||
<g
|
||||
inkscape:label="Layer 1"
|
||||
inkscape:groupmode="layer"
|
||||
id="layer1"
|
||||
sodipodi:insensitive="true">
|
||||
<rect
|
||||
style="fill:#ffffff;stroke:none;stroke-width:1;stop-color:#000000"
|
||||
id="rect288"
|
||||
width="209.84705"
|
||||
height="104.42732"
|
||||
x="0.77790999"
|
||||
y="0.93738818" />
|
||||
</g>
|
||||
<g
|
||||
inkscape:groupmode="layer"
|
||||
id="layer2"
|
||||
inkscape:label="Layer 2">
|
||||
<text
|
||||
xml:space="preserve"
|
||||
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
|
||||
x="164.56372"
|
||||
y="99.307442"
|
||||
id="text951"><tspan
|
||||
sodipodi:role="line"
|
||||
id="tspan949"
|
||||
style="stroke-width:0.264583;fill:#000000"
|
||||
x="164.56372"
|
||||
y="99.307442">$\{\}$</tspan></text>
|
||||
<text
|
||||
xml:space="preserve"
|
||||
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
|
||||
x="164.56372"
|
||||
y="13.151893"
|
||||
id="text1005"><tspan
|
||||
sodipodi:role="line"
|
||||
id="tspan1003"
|
||||
style="stroke-width:0.264583;fill:#000000"
|
||||
x="164.56372"
|
||||
y="13.151893">$\{a,b,c\}$</tspan></text>
|
||||
<g
|
||||
id="g1175"
|
||||
transform="translate(51.996784,3.5774043)">
|
||||
<text
|
||||
xml:space="preserve"
|
||||
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
|
||||
x="49.27084"
|
||||
y="67.008698"
|
||||
id="text1009"><tspan
|
||||
sodipodi:role="line"
|
||||
id="tspan1007"
|
||||
style="stroke-width:0.264583;fill:#000000"
|
||||
x="49.27084"
|
||||
y="67.008698">$\{a\}$</tspan></text>
|
||||
<text
|
||||
xml:space="preserve"
|
||||
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
|
||||
x="112.90984"
|
||||
y="67.017166"
|
||||
id="text1009-3"><tspan
|
||||
sodipodi:role="line"
|
||||
id="tspan1007-6"
|
||||
style="stroke-width:0.264583;fill:#000000"
|
||||
x="112.90984"
|
||||
y="67.017166">$\{b\}$</tspan></text>
|
||||
<text
|
||||
xml:space="preserve"
|
||||
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
|
||||
x="176.20593"
|
||||
y="67.008698"
|
||||
id="text1009-7"><tspan
|
||||
sodipodi:role="line"
|
||||
id="tspan1007-5"
|
||||
style="stroke-width:0.264583;fill:#000000"
|
||||
x="176.20593"
|
||||
y="67.008698">$\{c\}$</tspan></text>
|
||||
</g>
|
||||
<g
|
||||
id="g1183"
|
||||
transform="translate(51.996784,1.0317046)"
|
||||
style="fill:#000000">
|
||||
<text
|
||||
xml:space="preserve"
|
||||
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
|
||||
x="112.90984"
|
||||
y="40.841526"
|
||||
id="text1117"><tspan
|
||||
sodipodi:role="line"
|
||||
id="tspan1115"
|
||||
style="stroke-width:0.264583;fill:#000000"
|
||||
x="112.90984"
|
||||
y="40.841526">$\{a,c\}$</tspan></text>
|
||||
<text
|
||||
xml:space="preserve"
|
||||
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
|
||||
x="49.27084"
|
||||
y="40.841526"
|
||||
id="text1117-3"><tspan
|
||||
sodipodi:role="line"
|
||||
id="tspan1115-5"
|
||||
style="stroke-width:0.264583;fill:#000000"
|
||||
x="49.27084"
|
||||
y="40.841526">$\{a,b\}$</tspan></text>
|
||||
<text
|
||||
xml:space="preserve"
|
||||
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
|
||||
x="176.20593"
|
||||
y="40.841526"
|
||||
id="text1117-6"><tspan
|
||||
sodipodi:role="line"
|
||||
id="tspan1115-2"
|
||||
style="stroke-width:0.264583;fill:#000000"
|
||||
x="176.20593"
|
||||
y="40.841526">$\{b,c\}$</tspan></text>
|
||||
</g>
|
||||
<path
|
||||
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2)"
|
||||
d="M 153.33622,90.367682 118.34198,73.428915"
|
||||
id="path1300" />
|
||||
<path
|
||||
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9)"
|
||||
d="M 177.46016,90.367682 212.4544,73.428915"
|
||||
id="path1300-2" />
|
||||
<path
|
||||
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-93)"
|
||||
d="M 153.33622,61.655656 118.34198,44.716889"
|
||||
id="path1300-0" />
|
||||
<path
|
||||
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-7)"
|
||||
d="M 177.46016,61.655656 212.4544,44.716889"
|
||||
id="path1300-2-6" />
|
||||
<path
|
||||
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-93-1)"
|
||||
d="M 118.34198,61.655656 153.33622,44.716889"
|
||||
id="path1300-0-7" />
|
||||
<path
|
||||
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-7-2)"
|
||||
d="M 212.4544,61.655656 177.46016,44.716889"
|
||||
id="path1300-2-6-9" />
|
||||
<path
|
||||
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-93-1-4)"
|
||||
d="M 118.34198,34.227412 153.33622,17.288645"
|
||||
id="path1300-0-7-5" />
|
||||
<path
|
||||
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-7-2-8)"
|
||||
d="M 212.4544,34.227412 177.46016,17.288645"
|
||||
id="path1300-2-6-9-0" />
|
||||
<path
|
||||
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-75)"
|
||||
d="m 228.52843,61.091809 0.33313,-12.554874 m -0.33313,12.554874 0.33313,-12.554874"
|
||||
id="path1300-2-2"
|
||||
sodipodi:nodetypes="cc" />
|
||||
<path
|
||||
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-75-2)"
|
||||
d="m 101.90418,61.091809 0.33313,-12.554874 m -0.33313,12.554874 0.33313,-12.554874"
|
||||
id="path1300-2-2-9"
|
||||
sodipodi:nodetypes="cc" />
|
||||
<path
|
||||
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-75-7)"
|
||||
d="m 165.29305,89.571762 0.33313,-12.554874 m -0.33313,12.554874 0.33313,-12.554874"
|
||||
id="path1300-2-2-6"
|
||||
sodipodi:nodetypes="cc" />
|
||||
<path
|
||||
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-75-7-1)"
|
||||
d="m 165.29305,32.445235 0.33313,-12.554874 m -0.33313,12.554874 0.33313,-12.554874"
|
||||
id="path1300-2-2-6-9"
|
||||
sodipodi:nodetypes="cc" />
|
||||
<circle
|
||||
style="fill:#ff0000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
|
||||
id="path3663"
|
||||
cx="147.35568"
|
||||
cy="95.24971"
|
||||
r="2.7302806" />
|
||||
<circle
|
||||
style="fill:#008000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
|
||||
id="path3663-3"
|
||||
cx="126.08154"
|
||||
cy="67.968384"
|
||||
r="2.7302806" />
|
||||
<circle
|
||||
style="fill:#800080;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
|
||||
id="path3663-6"
|
||||
cx="119.58919"
|
||||
cy="67.645035"
|
||||
r="2.7302806" />
|
||||
<circle
|
||||
style="fill:#ff0000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
|
||||
id="path3663-1"
|
||||
cx="18.004833"
|
||||
cy="39.402473"
|
||||
r="2.7302806" />
|
||||
<circle
|
||||
style="fill:#008000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
|
||||
id="path3663-3-0"
|
||||
cx="18.004833"
|
||||
cy="30.371933"
|
||||
r="2.7302806" />
|
||||
<circle
|
||||
style="fill:#800080;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
|
||||
id="path3663-6-6"
|
||||
cx="18.004833"
|
||||
cy="21.341394"
|
||||
r="2.7302806" />
|
||||
<text
|
||||
xml:space="preserve"
|
||||
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;stroke-width:0.264583;fill:#000000"
|
||||
x="6.9525447"
|
||||
y="13.702217"
|
||||
id="text3707"><tspan
|
||||
sodipodi:role="line"
|
||||
id="tspan3705"
|
||||
style="stroke-width:0.264583;fill:#000000"
|
||||
x="6.9525447"
|
||||
y="13.702217">$write(\{a\})$:</tspan></text>
|
||||
<text
|
||||
xml:space="preserve"
|
||||
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
|
||||
x="6.9525447"
|
||||
y="65.261436"
|
||||
id="text3707-1"><tspan
|
||||
sodipodi:role="line"
|
||||
id="tspan3705-5"
|
||||
style="fill:#000000;stroke-width:0.264583"
|
||||
x="6.9525447"
|
||||
y="65.261436">$read()$:</tspan></text>
|
||||
<text
|
||||
xml:space="preserve"
|
||||
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
|
||||
x="23.457415"
|
||||
y="24.042637"
|
||||
id="text3750"><tspan
|
||||
sodipodi:role="line"
|
||||
id="tspan3748"
|
||||
style="fill:#000000;stroke-width:0.264583"
|
||||
x="23.457415"
|
||||
y="24.042637">$\sqsupseteq \{a\} \to$ OK</tspan></text>
|
||||
<text
|
||||
xml:space="preserve"
|
||||
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
|
||||
x="23.457415"
|
||||
y="33.02087"
|
||||
id="text3750-3"><tspan
|
||||
sodipodi:role="line"
|
||||
id="tspan3748-2"
|
||||
style="fill:#000000;stroke-width:0.264583"
|
||||
x="23.457415"
|
||||
y="33.02087">$\sqsupseteq \{a\} \to$ OK</tspan></text>
|
||||
<text
|
||||
xml:space="preserve"
|
||||
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#999999;stroke-width:0.264583"
|
||||
x="23.457415"
|
||||
y="41.972523"
|
||||
id="text3750-0"><tspan
|
||||
sodipodi:role="line"
|
||||
id="tspan3748-6"
|
||||
style="fill:#999999;stroke-width:0.264583"
|
||||
x="23.457415"
|
||||
y="41.972523">$\not\sqsupseteq \{a\}$</tspan></text>
|
||||
<circle
|
||||
style="fill:#ff0000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
|
||||
id="path3663-6-6-4"
|
||||
cx="18.004833"
|
||||
cy="70.942116"
|
||||
r="2.7302806" />
|
||||
<text
|
||||
xml:space="preserve"
|
||||
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
|
||||
x="23.457415"
|
||||
y="73.643356"
|
||||
id="text3750-7"><tspan
|
||||
sodipodi:role="line"
|
||||
id="tspan3748-65"
|
||||
style="fill:#000000;stroke-width:0.264583"
|
||||
x="23.457415"
|
||||
y="73.643356">$\to \{\}$</tspan></text>
|
||||
<text
|
||||
xml:space="preserve"
|
||||
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
|
||||
x="14.395845"
|
||||
y="52.022549"
|
||||
id="text4280"><tspan
|
||||
sodipodi:role="line"
|
||||
id="tspan4278"
|
||||
style="fill:#000000;stroke-width:0.264583"
|
||||
x="14.395845"
|
||||
y="52.022549">return OK</tspan></text>
|
||||
</g>
|
||||
</svg>
|
||||
|
After Width: | Height: | Size: 19 KiB |
581
doc/talks/2023-01-18-tocatta/assets/lattice7.svg
Normal file
581
doc/talks/2023-01-18-tocatta/assets/lattice7.svg
Normal file
|
|
@ -0,0 +1,581 @@
|
|||
<?xml version="1.0" encoding="UTF-8" standalone="no"?>
|
||||
<!-- Created with Inkscape (http://www.inkscape.org/) -->
|
||||
|
||||
<svg
|
||||
width="1000"
|
||||
height="400"
|
||||
viewBox="0 0 264.58333 105.83333"
|
||||
version="1.1"
|
||||
id="svg5"
|
||||
inkscape:version="1.2.2 (b0a8486541, 2022-12-01)"
|
||||
sodipodi:docname="lattice7.svg"
|
||||
xmlns:inkscape="http://www.inkscape.org/namespaces/inkscape"
|
||||
xmlns:sodipodi="http://sodipodi.sourceforge.net/DTD/sodipodi-0.dtd"
|
||||
xmlns="http://www.w3.org/2000/svg"
|
||||
xmlns:svg="http://www.w3.org/2000/svg">
|
||||
<sodipodi:namedview
|
||||
id="namedview7"
|
||||
pagecolor="#ffffff"
|
||||
bordercolor="#666666"
|
||||
borderopacity="1.0"
|
||||
inkscape:showpageshadow="2"
|
||||
inkscape:pageopacity="0.0"
|
||||
inkscape:pagecheckerboard="0"
|
||||
inkscape:deskcolor="#d1d1d1"
|
||||
inkscape:document-units="mm"
|
||||
showgrid="false"
|
||||
inkscape:zoom="1.0419012"
|
||||
inkscape:cx="276.89766"
|
||||
inkscape:cy="254.34273"
|
||||
inkscape:window-width="1920"
|
||||
inkscape:window-height="999"
|
||||
inkscape:window-x="0"
|
||||
inkscape:window-y="0"
|
||||
inkscape:window-maximized="1"
|
||||
inkscape:current-layer="layer2" />
|
||||
<defs
|
||||
id="defs2">
|
||||
<marker
|
||||
style="overflow:visible"
|
||||
id="Arrow2"
|
||||
refX="0"
|
||||
refY="0"
|
||||
orient="auto-start-reverse"
|
||||
inkscape:stockid="Arrow2"
|
||||
markerWidth="7.6999998"
|
||||
markerHeight="5.5999999"
|
||||
viewBox="0 0 7.7 5.6"
|
||||
inkscape:isstock="true"
|
||||
inkscape:collect="always"
|
||||
preserveAspectRatio="xMidYMid">
|
||||
<path
|
||||
transform="scale(0.7)"
|
||||
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
|
||||
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
|
||||
id="arrow2L" />
|
||||
</marker>
|
||||
<marker
|
||||
style="overflow:visible"
|
||||
id="Arrow2-9"
|
||||
refX="0"
|
||||
refY="0"
|
||||
orient="auto-start-reverse"
|
||||
inkscape:stockid="Arrow2"
|
||||
markerWidth="7.6999998"
|
||||
markerHeight="5.5999999"
|
||||
viewBox="0 0 7.7 5.6"
|
||||
inkscape:isstock="true"
|
||||
inkscape:collect="always"
|
||||
preserveAspectRatio="xMidYMid">
|
||||
<path
|
||||
transform="scale(0.7)"
|
||||
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
|
||||
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
|
||||
id="arrow2L-1" />
|
||||
</marker>
|
||||
<marker
|
||||
style="overflow:visible"
|
||||
id="Arrow2-9-7"
|
||||
refX="0"
|
||||
refY="0"
|
||||
orient="auto-start-reverse"
|
||||
inkscape:stockid="Arrow2"
|
||||
markerWidth="7.6999998"
|
||||
markerHeight="5.5999999"
|
||||
viewBox="0 0 7.7 5.6"
|
||||
inkscape:isstock="true"
|
||||
inkscape:collect="always"
|
||||
preserveAspectRatio="xMidYMid">
|
||||
<path
|
||||
transform="scale(0.7)"
|
||||
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
|
||||
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
|
||||
id="arrow2L-1-0" />
|
||||
</marker>
|
||||
<marker
|
||||
style="overflow:visible"
|
||||
id="Arrow2-93"
|
||||
refX="0"
|
||||
refY="0"
|
||||
orient="auto-start-reverse"
|
||||
inkscape:stockid="Arrow2"
|
||||
markerWidth="7.6999998"
|
||||
markerHeight="5.5999999"
|
||||
viewBox="0 0 7.7 5.6"
|
||||
inkscape:isstock="true"
|
||||
inkscape:collect="always"
|
||||
preserveAspectRatio="xMidYMid">
|
||||
<path
|
||||
transform="scale(0.7)"
|
||||
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
|
||||
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
|
||||
id="arrow2L-6" />
|
||||
</marker>
|
||||
<marker
|
||||
style="overflow:visible"
|
||||
id="Arrow2-9-7-2"
|
||||
refX="0"
|
||||
refY="0"
|
||||
orient="auto-start-reverse"
|
||||
inkscape:stockid="Arrow2"
|
||||
markerWidth="7.6999998"
|
||||
markerHeight="5.5999999"
|
||||
viewBox="0 0 7.7 5.6"
|
||||
inkscape:isstock="true"
|
||||
inkscape:collect="always"
|
||||
preserveAspectRatio="xMidYMid">
|
||||
<path
|
||||
transform="scale(0.7)"
|
||||
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
|
||||
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
|
||||
id="arrow2L-1-0-6" />
|
||||
</marker>
|
||||
<marker
|
||||
style="overflow:visible"
|
||||
id="Arrow2-93-1"
|
||||
refX="0"
|
||||
refY="0"
|
||||
orient="auto-start-reverse"
|
||||
inkscape:stockid="Arrow2"
|
||||
markerWidth="7.6999998"
|
||||
markerHeight="5.5999999"
|
||||
viewBox="0 0 7.7 5.6"
|
||||
inkscape:isstock="true"
|
||||
inkscape:collect="always"
|
||||
preserveAspectRatio="xMidYMid">
|
||||
<path
|
||||
transform="scale(0.7)"
|
||||
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
|
||||
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
|
||||
id="arrow2L-6-8" />
|
||||
</marker>
|
||||
<marker
|
||||
style="overflow:visible"
|
||||
id="Arrow2-9-75"
|
||||
refX="0"
|
||||
refY="0"
|
||||
orient="auto-start-reverse"
|
||||
inkscape:stockid="Arrow2"
|
||||
markerWidth="7.6999998"
|
||||
markerHeight="5.5999999"
|
||||
viewBox="0 0 7.7 5.6"
|
||||
inkscape:isstock="true"
|
||||
inkscape:collect="always"
|
||||
preserveAspectRatio="xMidYMid">
|
||||
<path
|
||||
transform="scale(0.7)"
|
||||
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
|
||||
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
|
||||
id="arrow2L-1-9" />
|
||||
</marker>
|
||||
<marker
|
||||
style="overflow:visible"
|
||||
id="Arrow2-9-75-2"
|
||||
refX="0"
|
||||
refY="0"
|
||||
orient="auto-start-reverse"
|
||||
inkscape:stockid="Arrow2"
|
||||
markerWidth="7.6999998"
|
||||
markerHeight="5.5999999"
|
||||
viewBox="0 0 7.7 5.6"
|
||||
inkscape:isstock="true"
|
||||
inkscape:collect="always"
|
||||
preserveAspectRatio="xMidYMid">
|
||||
<path
|
||||
transform="scale(0.7)"
|
||||
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
|
||||
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
|
||||
id="arrow2L-1-9-8" />
|
||||
</marker>
|
||||
<marker
|
||||
style="overflow:visible"
|
||||
id="Arrow2-9-75-7"
|
||||
refX="0"
|
||||
refY="0"
|
||||
orient="auto-start-reverse"
|
||||
inkscape:stockid="Arrow2"
|
||||
markerWidth="7.6999998"
|
||||
markerHeight="5.5999999"
|
||||
viewBox="0 0 7.7 5.6"
|
||||
inkscape:isstock="true"
|
||||
inkscape:collect="always"
|
||||
preserveAspectRatio="xMidYMid">
|
||||
<path
|
||||
transform="scale(0.7)"
|
||||
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
|
||||
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
|
||||
id="arrow2L-1-9-3" />
|
||||
</marker>
|
||||
<marker
|
||||
style="overflow:visible"
|
||||
id="Arrow2-9-75-7-1"
|
||||
refX="0"
|
||||
refY="0"
|
||||
orient="auto-start-reverse"
|
||||
inkscape:stockid="Arrow2"
|
||||
markerWidth="7.6999998"
|
||||
markerHeight="5.5999999"
|
||||
viewBox="0 0 7.7 5.6"
|
||||
inkscape:isstock="true"
|
||||
inkscape:collect="always"
|
||||
preserveAspectRatio="xMidYMid">
|
||||
<path
|
||||
transform="scale(0.7)"
|
||||
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
|
||||
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
|
||||
id="arrow2L-1-9-3-2" />
|
||||
</marker>
|
||||
<marker
|
||||
style="overflow:visible"
|
||||
id="Arrow2-93-1-4"
|
||||
refX="0"
|
||||
refY="0"
|
||||
orient="auto-start-reverse"
|
||||
inkscape:stockid="Arrow2"
|
||||
markerWidth="7.6999998"
|
||||
markerHeight="5.5999999"
|
||||
viewBox="0 0 7.7 5.6"
|
||||
inkscape:isstock="true"
|
||||
inkscape:collect="always"
|
||||
preserveAspectRatio="xMidYMid">
|
||||
<path
|
||||
transform="scale(0.7)"
|
||||
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
|
||||
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
|
||||
id="arrow2L-6-8-7" />
|
||||
</marker>
|
||||
<marker
|
||||
style="overflow:visible"
|
||||
id="Arrow2-9-7-2-8"
|
||||
refX="0"
|
||||
refY="0"
|
||||
orient="auto-start-reverse"
|
||||
inkscape:stockid="Arrow2"
|
||||
markerWidth="7.6999998"
|
||||
markerHeight="5.5999999"
|
||||
viewBox="0 0 7.7 5.6"
|
||||
inkscape:isstock="true"
|
||||
inkscape:collect="always"
|
||||
preserveAspectRatio="xMidYMid">
|
||||
<path
|
||||
transform="scale(0.7)"
|
||||
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
|
||||
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
|
||||
id="arrow2L-1-0-6-4" />
|
||||
</marker>
|
||||
</defs>
|
||||
<g
|
||||
inkscape:label="Layer 1"
|
||||
inkscape:groupmode="layer"
|
||||
id="layer1"
|
||||
sodipodi:insensitive="true">
|
||||
<rect
|
||||
style="fill:#ffffff;stroke:none;stroke-width:1;stop-color:#000000"
|
||||
id="rect288"
|
||||
width="209.84705"
|
||||
height="104.42732"
|
||||
x="0.77790999"
|
||||
y="0.93738818" />
|
||||
</g>
|
||||
<g
|
||||
inkscape:groupmode="layer"
|
||||
id="layer2"
|
||||
inkscape:label="Layer 2">
|
||||
<text
|
||||
xml:space="preserve"
|
||||
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
|
||||
x="164.56372"
|
||||
y="99.307442"
|
||||
id="text951"><tspan
|
||||
sodipodi:role="line"
|
||||
id="tspan949"
|
||||
style="stroke-width:0.264583;fill:#000000"
|
||||
x="164.56372"
|
||||
y="99.307442">$\{\}$</tspan></text>
|
||||
<text
|
||||
xml:space="preserve"
|
||||
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
|
||||
x="164.56372"
|
||||
y="13.151893"
|
||||
id="text1005"><tspan
|
||||
sodipodi:role="line"
|
||||
id="tspan1003"
|
||||
style="stroke-width:0.264583;fill:#000000"
|
||||
x="164.56372"
|
||||
y="13.151893">$\{a,b,c\}$</tspan></text>
|
||||
<g
|
||||
id="g1175"
|
||||
transform="translate(51.996784,3.5774043)">
|
||||
<text
|
||||
xml:space="preserve"
|
||||
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
|
||||
x="49.27084"
|
||||
y="67.008698"
|
||||
id="text1009"><tspan
|
||||
sodipodi:role="line"
|
||||
id="tspan1007"
|
||||
style="stroke-width:0.264583;fill:#000000"
|
||||
x="49.27084"
|
||||
y="67.008698">$\{a\}$</tspan></text>
|
||||
<text
|
||||
xml:space="preserve"
|
||||
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
|
||||
x="112.90984"
|
||||
y="67.017166"
|
||||
id="text1009-3"><tspan
|
||||
sodipodi:role="line"
|
||||
id="tspan1007-6"
|
||||
style="stroke-width:0.264583;fill:#000000"
|
||||
x="112.90984"
|
||||
y="67.017166">$\{b\}$</tspan></text>
|
||||
<text
|
||||
xml:space="preserve"
|
||||
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
|
||||
x="176.20593"
|
||||
y="67.008698"
|
||||
id="text1009-7"><tspan
|
||||
sodipodi:role="line"
|
||||
id="tspan1007-5"
|
||||
style="stroke-width:0.264583;fill:#000000"
|
||||
x="176.20593"
|
||||
y="67.008698">$\{c\}$</tspan></text>
|
||||
</g>
|
||||
<g
|
||||
id="g1183"
|
||||
transform="translate(51.996784,1.0317046)"
|
||||
style="fill:#000000">
|
||||
<text
|
||||
xml:space="preserve"
|
||||
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
|
||||
x="112.90984"
|
||||
y="40.841526"
|
||||
id="text1117"><tspan
|
||||
sodipodi:role="line"
|
||||
id="tspan1115"
|
||||
style="stroke-width:0.264583;fill:#000000"
|
||||
x="112.90984"
|
||||
y="40.841526">$\{a,c\}$</tspan></text>
|
||||
<text
|
||||
xml:space="preserve"
|
||||
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
|
||||
x="49.27084"
|
||||
y="40.841526"
|
||||
id="text1117-3"><tspan
|
||||
sodipodi:role="line"
|
||||
id="tspan1115-5"
|
||||
style="stroke-width:0.264583;fill:#000000"
|
||||
x="49.27084"
|
||||
y="40.841526">$\{a,b\}$</tspan></text>
|
||||
<text
|
||||
xml:space="preserve"
|
||||
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
|
||||
x="176.20593"
|
||||
y="40.841526"
|
||||
id="text1117-6"><tspan
|
||||
sodipodi:role="line"
|
||||
id="tspan1115-2"
|
||||
style="stroke-width:0.264583;fill:#000000"
|
||||
x="176.20593"
|
||||
y="40.841526">$\{b,c\}$</tspan></text>
|
||||
</g>
|
||||
<path
|
||||
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2)"
|
||||
d="M 153.33622,90.367682 118.34198,73.428915"
|
||||
id="path1300" />
|
||||
<path
|
||||
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9)"
|
||||
d="M 177.46016,90.367682 212.4544,73.428915"
|
||||
id="path1300-2" />
|
||||
<path
|
||||
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-93)"
|
||||
d="M 153.33622,61.655656 118.34198,44.716889"
|
||||
id="path1300-0" />
|
||||
<path
|
||||
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-7)"
|
||||
d="M 177.46016,61.655656 212.4544,44.716889"
|
||||
id="path1300-2-6" />
|
||||
<path
|
||||
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-93-1)"
|
||||
d="M 118.34198,61.655656 153.33622,44.716889"
|
||||
id="path1300-0-7" />
|
||||
<path
|
||||
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-7-2)"
|
||||
d="M 212.4544,61.655656 177.46016,44.716889"
|
||||
id="path1300-2-6-9" />
|
||||
<path
|
||||
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-93-1-4)"
|
||||
d="M 118.34198,34.227412 153.33622,17.288645"
|
||||
id="path1300-0-7-5" />
|
||||
<path
|
||||
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-7-2-8)"
|
||||
d="M 212.4544,34.227412 177.46016,17.288645"
|
||||
id="path1300-2-6-9-0" />
|
||||
<path
|
||||
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-75)"
|
||||
d="m 228.52843,61.091809 0.33313,-12.554874 m -0.33313,12.554874 0.33313,-12.554874"
|
||||
id="path1300-2-2"
|
||||
sodipodi:nodetypes="cc" />
|
||||
<path
|
||||
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-75-2)"
|
||||
d="m 101.90418,61.091809 0.33313,-12.554874 m -0.33313,12.554874 0.33313,-12.554874"
|
||||
id="path1300-2-2-9"
|
||||
sodipodi:nodetypes="cc" />
|
||||
<path
|
||||
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-75-7)"
|
||||
d="m 165.29305,89.571762 0.33313,-12.554874 m -0.33313,12.554874 0.33313,-12.554874"
|
||||
id="path1300-2-2-6"
|
||||
sodipodi:nodetypes="cc" />
|
||||
<path
|
||||
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-75-7-1)"
|
||||
d="m 165.29305,32.445235 0.33313,-12.554874 m -0.33313,12.554874 0.33313,-12.554874"
|
||||
id="path1300-2-2-6-9"
|
||||
sodipodi:nodetypes="cc" />
|
||||
<circle
|
||||
style="fill:#ff0000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
|
||||
id="path3663"
|
||||
cx="147.35568"
|
||||
cy="95.24971"
|
||||
r="2.7302806" />
|
||||
<circle
|
||||
style="fill:#008000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
|
||||
id="path3663-3"
|
||||
cx="126.08154"
|
||||
cy="67.968384"
|
||||
r="2.7302806" />
|
||||
<circle
|
||||
style="fill:#800080;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
|
||||
id="path3663-6"
|
||||
cx="119.58919"
|
||||
cy="67.645035"
|
||||
r="2.7302806" />
|
||||
<circle
|
||||
style="fill:#ff0000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
|
||||
id="path3663-1"
|
||||
cx="18.004833"
|
||||
cy="39.402473"
|
||||
r="2.7302806" />
|
||||
<circle
|
||||
style="fill:#008000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
|
||||
id="path3663-3-0"
|
||||
cx="18.004833"
|
||||
cy="30.371933"
|
||||
r="2.7302806" />
|
||||
<circle
|
||||
style="fill:#800080;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
|
||||
id="path3663-6-6"
|
||||
cx="18.004833"
|
||||
cy="21.341394"
|
||||
r="2.7302806" />
|
||||
<text
|
||||
xml:space="preserve"
|
||||
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;stroke-width:0.264583;fill:#000000"
|
||||
x="6.9525447"
|
||||
y="13.702217"
|
||||
id="text3707"><tspan
|
||||
sodipodi:role="line"
|
||||
id="tspan3705"
|
||||
style="stroke-width:0.264583;fill:#000000"
|
||||
x="6.9525447"
|
||||
y="13.702217">$write(\{a\})$:</tspan></text>
|
||||
<text
|
||||
xml:space="preserve"
|
||||
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
|
||||
x="6.9525447"
|
||||
y="65.261436"
|
||||
id="text3707-1"><tspan
|
||||
sodipodi:role="line"
|
||||
id="tspan3705-5"
|
||||
style="fill:#000000;stroke-width:0.264583"
|
||||
x="6.9525447"
|
||||
y="65.261436">$read()$:</tspan></text>
|
||||
<text
|
||||
xml:space="preserve"
|
||||
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
|
||||
x="23.457415"
|
||||
y="24.042637"
|
||||
id="text3750"><tspan
|
||||
sodipodi:role="line"
|
||||
id="tspan3748"
|
||||
style="fill:#000000;stroke-width:0.264583"
|
||||
x="23.457415"
|
||||
y="24.042637">$\sqsupseteq \{a\} \to$ OK</tspan></text>
|
||||
<text
|
||||
xml:space="preserve"
|
||||
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
|
||||
x="23.457415"
|
||||
y="33.02087"
|
||||
id="text3750-3"><tspan
|
||||
sodipodi:role="line"
|
||||
id="tspan3748-2"
|
||||
style="fill:#000000;stroke-width:0.264583"
|
||||
x="23.457415"
|
||||
y="33.02087">$\sqsupseteq \{a\} \to$ OK</tspan></text>
|
||||
<text
|
||||
xml:space="preserve"
|
||||
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#999999;stroke-width:0.264583"
|
||||
x="23.457415"
|
||||
y="41.972523"
|
||||
id="text3750-0"><tspan
|
||||
sodipodi:role="line"
|
||||
id="tspan3748-6"
|
||||
style="fill:#999999;stroke-width:0.264583"
|
||||
x="23.457415"
|
||||
y="41.972523">$\not\sqsupseteq \{a\}$</tspan></text>
|
||||
<circle
|
||||
style="fill:#ff0000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
|
||||
id="path3663-6-6-4"
|
||||
cx="18.004833"
|
||||
cy="70.942116"
|
||||
r="2.7302806" />
|
||||
<text
|
||||
xml:space="preserve"
|
||||
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
|
||||
x="23.457415"
|
||||
y="73.643356"
|
||||
id="text3750-7"><tspan
|
||||
sodipodi:role="line"
|
||||
id="tspan3748-65"
|
||||
style="fill:#000000;stroke-width:0.264583"
|
||||
x="23.457415"
|
||||
y="73.643356">$\to \{\}$</tspan></text>
|
||||
<text
|
||||
xml:space="preserve"
|
||||
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
|
||||
x="14.395845"
|
||||
y="52.022549"
|
||||
id="text4280"><tspan
|
||||
sodipodi:role="line"
|
||||
id="tspan4278"
|
||||
style="fill:#000000;stroke-width:0.264583"
|
||||
x="14.395845"
|
||||
y="52.022549">return OK</tspan></text>
|
||||
<text
|
||||
xml:space="preserve"
|
||||
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
|
||||
x="14.395845"
|
||||
y="92.005798"
|
||||
id="text4280-3"><tspan
|
||||
sodipodi:role="line"
|
||||
id="tspan4278-7"
|
||||
style="fill:#000000;stroke-width:0.264583"
|
||||
x="14.395845"
|
||||
y="92.005798">return $\{\}\sqcup\{a\}=\{a\}$</tspan></text>
|
||||
<circle
|
||||
style="fill:#800080;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
|
||||
id="path3663-1-5"
|
||||
cx="18.004833"
|
||||
cy="81.007744"
|
||||
r="2.7302806" />
|
||||
<text
|
||||
xml:space="preserve"
|
||||
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
|
||||
x="23.457415"
|
||||
y="83.577797"
|
||||
id="text3750-0-6"><tspan
|
||||
sodipodi:role="line"
|
||||
id="tspan3748-6-9"
|
||||
style="fill:#000000;stroke-width:0.264583"
|
||||
x="23.457415"
|
||||
y="83.577797">$\to \{a\}$</tspan></text>
|
||||
</g>
|
||||
</svg>
|
||||
|
After Width: | Height: | Size: 20 KiB |
581
doc/talks/2023-01-18-tocatta/assets/lattice8.svg
Normal file
581
doc/talks/2023-01-18-tocatta/assets/lattice8.svg
Normal file
|
|
@ -0,0 +1,581 @@
|
|||
<?xml version="1.0" encoding="UTF-8" standalone="no"?>
|
||||
<!-- Created with Inkscape (http://www.inkscape.org/) -->
|
||||
|
||||
<svg
|
||||
width="1000"
|
||||
height="400"
|
||||
viewBox="0 0 264.58333 105.83333"
|
||||
version="1.1"
|
||||
id="svg5"
|
||||
inkscape:version="1.2.2 (b0a8486541, 2022-12-01)"
|
||||
sodipodi:docname="lattice8.svg"
|
||||
xmlns:inkscape="http://www.inkscape.org/namespaces/inkscape"
|
||||
xmlns:sodipodi="http://sodipodi.sourceforge.net/DTD/sodipodi-0.dtd"
|
||||
xmlns="http://www.w3.org/2000/svg"
|
||||
xmlns:svg="http://www.w3.org/2000/svg">
|
||||
<sodipodi:namedview
|
||||
id="namedview7"
|
||||
pagecolor="#ffffff"
|
||||
bordercolor="#666666"
|
||||
borderopacity="1.0"
|
||||
inkscape:showpageshadow="2"
|
||||
inkscape:pageopacity="0.0"
|
||||
inkscape:pagecheckerboard="0"
|
||||
inkscape:deskcolor="#d1d1d1"
|
||||
inkscape:document-units="mm"
|
||||
showgrid="false"
|
||||
inkscape:zoom="1.4734708"
|
||||
inkscape:cx="399.39712"
|
||||
inkscape:cy="248.39311"
|
||||
inkscape:window-width="1920"
|
||||
inkscape:window-height="999"
|
||||
inkscape:window-x="0"
|
||||
inkscape:window-y="0"
|
||||
inkscape:window-maximized="1"
|
||||
inkscape:current-layer="layer2" />
|
||||
<defs
|
||||
id="defs2">
|
||||
<marker
|
||||
style="overflow:visible"
|
||||
id="Arrow2"
|
||||
refX="0"
|
||||
refY="0"
|
||||
orient="auto-start-reverse"
|
||||
inkscape:stockid="Arrow2"
|
||||
markerWidth="7.6999998"
|
||||
markerHeight="5.5999999"
|
||||
viewBox="0 0 7.7 5.6"
|
||||
inkscape:isstock="true"
|
||||
inkscape:collect="always"
|
||||
preserveAspectRatio="xMidYMid">
|
||||
<path
|
||||
transform="scale(0.7)"
|
||||
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
|
||||
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
|
||||
id="arrow2L" />
|
||||
</marker>
|
||||
<marker
|
||||
style="overflow:visible"
|
||||
id="Arrow2-9"
|
||||
refX="0"
|
||||
refY="0"
|
||||
orient="auto-start-reverse"
|
||||
inkscape:stockid="Arrow2"
|
||||
markerWidth="7.6999998"
|
||||
markerHeight="5.5999999"
|
||||
viewBox="0 0 7.7 5.6"
|
||||
inkscape:isstock="true"
|
||||
inkscape:collect="always"
|
||||
preserveAspectRatio="xMidYMid">
|
||||
<path
|
||||
transform="scale(0.7)"
|
||||
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
|
||||
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
|
||||
id="arrow2L-1" />
|
||||
</marker>
|
||||
<marker
|
||||
style="overflow:visible"
|
||||
id="Arrow2-9-7"
|
||||
refX="0"
|
||||
refY="0"
|
||||
orient="auto-start-reverse"
|
||||
inkscape:stockid="Arrow2"
|
||||
markerWidth="7.6999998"
|
||||
markerHeight="5.5999999"
|
||||
viewBox="0 0 7.7 5.6"
|
||||
inkscape:isstock="true"
|
||||
inkscape:collect="always"
|
||||
preserveAspectRatio="xMidYMid">
|
||||
<path
|
||||
transform="scale(0.7)"
|
||||
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
|
||||
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
|
||||
id="arrow2L-1-0" />
|
||||
</marker>
|
||||
<marker
|
||||
style="overflow:visible"
|
||||
id="Arrow2-93"
|
||||
refX="0"
|
||||
refY="0"
|
||||
orient="auto-start-reverse"
|
||||
inkscape:stockid="Arrow2"
|
||||
markerWidth="7.6999998"
|
||||
markerHeight="5.5999999"
|
||||
viewBox="0 0 7.7 5.6"
|
||||
inkscape:isstock="true"
|
||||
inkscape:collect="always"
|
||||
preserveAspectRatio="xMidYMid">
|
||||
<path
|
||||
transform="scale(0.7)"
|
||||
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
|
||||
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
|
||||
id="arrow2L-6" />
|
||||
</marker>
|
||||
<marker
|
||||
style="overflow:visible"
|
||||
id="Arrow2-9-7-2"
|
||||
refX="0"
|
||||
refY="0"
|
||||
orient="auto-start-reverse"
|
||||
inkscape:stockid="Arrow2"
|
||||
markerWidth="7.6999998"
|
||||
markerHeight="5.5999999"
|
||||
viewBox="0 0 7.7 5.6"
|
||||
inkscape:isstock="true"
|
||||
inkscape:collect="always"
|
||||
preserveAspectRatio="xMidYMid">
|
||||
<path
|
||||
transform="scale(0.7)"
|
||||
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
|
||||
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
|
||||
id="arrow2L-1-0-6" />
|
||||
</marker>
|
||||
<marker
|
||||
style="overflow:visible"
|
||||
id="Arrow2-93-1"
|
||||
refX="0"
|
||||
refY="0"
|
||||
orient="auto-start-reverse"
|
||||
inkscape:stockid="Arrow2"
|
||||
markerWidth="7.6999998"
|
||||
markerHeight="5.5999999"
|
||||
viewBox="0 0 7.7 5.6"
|
||||
inkscape:isstock="true"
|
||||
inkscape:collect="always"
|
||||
preserveAspectRatio="xMidYMid">
|
||||
<path
|
||||
transform="scale(0.7)"
|
||||
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
|
||||
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
|
||||
id="arrow2L-6-8" />
|
||||
</marker>
|
||||
<marker
|
||||
style="overflow:visible"
|
||||
id="Arrow2-9-75"
|
||||
refX="0"
|
||||
refY="0"
|
||||
orient="auto-start-reverse"
|
||||
inkscape:stockid="Arrow2"
|
||||
markerWidth="7.6999998"
|
||||
markerHeight="5.5999999"
|
||||
viewBox="0 0 7.7 5.6"
|
||||
inkscape:isstock="true"
|
||||
inkscape:collect="always"
|
||||
preserveAspectRatio="xMidYMid">
|
||||
<path
|
||||
transform="scale(0.7)"
|
||||
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
|
||||
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
|
||||
id="arrow2L-1-9" />
|
||||
</marker>
|
||||
<marker
|
||||
style="overflow:visible"
|
||||
id="Arrow2-9-75-2"
|
||||
refX="0"
|
||||
refY="0"
|
||||
orient="auto-start-reverse"
|
||||
inkscape:stockid="Arrow2"
|
||||
markerWidth="7.6999998"
|
||||
markerHeight="5.5999999"
|
||||
viewBox="0 0 7.7 5.6"
|
||||
inkscape:isstock="true"
|
||||
inkscape:collect="always"
|
||||
preserveAspectRatio="xMidYMid">
|
||||
<path
|
||||
transform="scale(0.7)"
|
||||
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
|
||||
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
|
||||
id="arrow2L-1-9-8" />
|
||||
</marker>
|
||||
<marker
|
||||
style="overflow:visible"
|
||||
id="Arrow2-9-75-7"
|
||||
refX="0"
|
||||
refY="0"
|
||||
orient="auto-start-reverse"
|
||||
inkscape:stockid="Arrow2"
|
||||
markerWidth="7.6999998"
|
||||
markerHeight="5.5999999"
|
||||
viewBox="0 0 7.7 5.6"
|
||||
inkscape:isstock="true"
|
||||
inkscape:collect="always"
|
||||
preserveAspectRatio="xMidYMid">
|
||||
<path
|
||||
transform="scale(0.7)"
|
||||
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
|
||||
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
|
||||
id="arrow2L-1-9-3" />
|
||||
</marker>
|
||||
<marker
|
||||
style="overflow:visible"
|
||||
id="Arrow2-9-75-7-1"
|
||||
refX="0"
|
||||
refY="0"
|
||||
orient="auto-start-reverse"
|
||||
inkscape:stockid="Arrow2"
|
||||
markerWidth="7.6999998"
|
||||
markerHeight="5.5999999"
|
||||
viewBox="0 0 7.7 5.6"
|
||||
inkscape:isstock="true"
|
||||
inkscape:collect="always"
|
||||
preserveAspectRatio="xMidYMid">
|
||||
<path
|
||||
transform="scale(0.7)"
|
||||
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
|
||||
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
|
||||
id="arrow2L-1-9-3-2" />
|
||||
</marker>
|
||||
<marker
|
||||
style="overflow:visible"
|
||||
id="Arrow2-93-1-4"
|
||||
refX="0"
|
||||
refY="0"
|
||||
orient="auto-start-reverse"
|
||||
inkscape:stockid="Arrow2"
|
||||
markerWidth="7.6999998"
|
||||
markerHeight="5.5999999"
|
||||
viewBox="0 0 7.7 5.6"
|
||||
inkscape:isstock="true"
|
||||
inkscape:collect="always"
|
||||
preserveAspectRatio="xMidYMid">
|
||||
<path
|
||||
transform="scale(0.7)"
|
||||
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
|
||||
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
|
||||
id="arrow2L-6-8-7" />
|
||||
</marker>
|
||||
<marker
|
||||
style="overflow:visible"
|
||||
id="Arrow2-9-7-2-8"
|
||||
refX="0"
|
||||
refY="0"
|
||||
orient="auto-start-reverse"
|
||||
inkscape:stockid="Arrow2"
|
||||
markerWidth="7.6999998"
|
||||
markerHeight="5.5999999"
|
||||
viewBox="0 0 7.7 5.6"
|
||||
inkscape:isstock="true"
|
||||
inkscape:collect="always"
|
||||
preserveAspectRatio="xMidYMid">
|
||||
<path
|
||||
transform="scale(0.7)"
|
||||
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
|
||||
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
|
||||
id="arrow2L-1-0-6-4" />
|
||||
</marker>
|
||||
</defs>
|
||||
<g
|
||||
inkscape:label="Layer 1"
|
||||
inkscape:groupmode="layer"
|
||||
id="layer1"
|
||||
sodipodi:insensitive="true">
|
||||
<rect
|
||||
style="fill:#ffffff;stroke:none;stroke-width:1;stop-color:#000000"
|
||||
id="rect288"
|
||||
width="209.84705"
|
||||
height="104.42732"
|
||||
x="0.77790999"
|
||||
y="0.93738818" />
|
||||
</g>
|
||||
<g
|
||||
inkscape:groupmode="layer"
|
||||
id="layer2"
|
||||
inkscape:label="Layer 2">
|
||||
<text
|
||||
xml:space="preserve"
|
||||
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
|
||||
x="164.56372"
|
||||
y="99.307442"
|
||||
id="text951"><tspan
|
||||
sodipodi:role="line"
|
||||
id="tspan949"
|
||||
style="stroke-width:0.264583;fill:#000000"
|
||||
x="164.56372"
|
||||
y="99.307442">$\{\}$</tspan></text>
|
||||
<text
|
||||
xml:space="preserve"
|
||||
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
|
||||
x="164.56372"
|
||||
y="13.151893"
|
||||
id="text1005"><tspan
|
||||
sodipodi:role="line"
|
||||
id="tspan1003"
|
||||
style="stroke-width:0.264583;fill:#000000"
|
||||
x="164.56372"
|
||||
y="13.151893">$\{a,b,c\}$</tspan></text>
|
||||
<g
|
||||
id="g1175"
|
||||
transform="translate(51.996784,3.5774043)">
|
||||
<text
|
||||
xml:space="preserve"
|
||||
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
|
||||
x="49.27084"
|
||||
y="67.008698"
|
||||
id="text1009"><tspan
|
||||
sodipodi:role="line"
|
||||
id="tspan1007"
|
||||
style="stroke-width:0.264583;fill:#000000"
|
||||
x="49.27084"
|
||||
y="67.008698">$\{a\}$</tspan></text>
|
||||
<text
|
||||
xml:space="preserve"
|
||||
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
|
||||
x="112.90984"
|
||||
y="67.017166"
|
||||
id="text1009-3"><tspan
|
||||
sodipodi:role="line"
|
||||
id="tspan1007-6"
|
||||
style="stroke-width:0.264583;fill:#000000"
|
||||
x="112.90984"
|
||||
y="67.017166">$\{b\}$</tspan></text>
|
||||
<text
|
||||
xml:space="preserve"
|
||||
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
|
||||
x="176.20593"
|
||||
y="67.008698"
|
||||
id="text1009-7"><tspan
|
||||
sodipodi:role="line"
|
||||
id="tspan1007-5"
|
||||
style="stroke-width:0.264583;fill:#000000"
|
||||
x="176.20593"
|
||||
y="67.008698">$\{c\}$</tspan></text>
|
||||
</g>
|
||||
<g
|
||||
id="g1183"
|
||||
transform="translate(51.996784,1.0317046)"
|
||||
style="fill:#000000">
|
||||
<text
|
||||
xml:space="preserve"
|
||||
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
|
||||
x="112.90984"
|
||||
y="40.841526"
|
||||
id="text1117"><tspan
|
||||
sodipodi:role="line"
|
||||
id="tspan1115"
|
||||
style="stroke-width:0.264583;fill:#000000"
|
||||
x="112.90984"
|
||||
y="40.841526">$\{a,c\}$</tspan></text>
|
||||
<text
|
||||
xml:space="preserve"
|
||||
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
|
||||
x="49.27084"
|
||||
y="40.841526"
|
||||
id="text1117-3"><tspan
|
||||
sodipodi:role="line"
|
||||
id="tspan1115-5"
|
||||
style="stroke-width:0.264583;fill:#000000"
|
||||
x="49.27084"
|
||||
y="40.841526">$\{a,b\}$</tspan></text>
|
||||
<text
|
||||
xml:space="preserve"
|
||||
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;text-align:center;text-anchor:middle;stroke-width:0.264583;fill:#000000"
|
||||
x="176.20593"
|
||||
y="40.841526"
|
||||
id="text1117-6"><tspan
|
||||
sodipodi:role="line"
|
||||
id="tspan1115-2"
|
||||
style="stroke-width:0.264583;fill:#000000"
|
||||
x="176.20593"
|
||||
y="40.841526">$\{b,c\}$</tspan></text>
|
||||
</g>
|
||||
<path
|
||||
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2)"
|
||||
d="M 153.33622,90.367682 118.34198,73.428915"
|
||||
id="path1300" />
|
||||
<path
|
||||
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9)"
|
||||
d="M 177.46016,90.367682 212.4544,73.428915"
|
||||
id="path1300-2" />
|
||||
<path
|
||||
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-93)"
|
||||
d="M 153.33622,61.655656 118.34198,44.716889"
|
||||
id="path1300-0" />
|
||||
<path
|
||||
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-7)"
|
||||
d="M 177.46016,61.655656 212.4544,44.716889"
|
||||
id="path1300-2-6" />
|
||||
<path
|
||||
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-93-1)"
|
||||
d="M 118.34198,61.655656 153.33622,44.716889"
|
||||
id="path1300-0-7" />
|
||||
<path
|
||||
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-7-2)"
|
||||
d="M 212.4544,61.655656 177.46016,44.716889"
|
||||
id="path1300-2-6-9" />
|
||||
<path
|
||||
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-93-1-4)"
|
||||
d="M 118.34198,34.227412 153.33622,17.288645"
|
||||
id="path1300-0-7-5" />
|
||||
<path
|
||||
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-7-2-8)"
|
||||
d="M 212.4544,34.227412 177.46016,17.288645"
|
||||
id="path1300-2-6-9-0" />
|
||||
<path
|
||||
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-75)"
|
||||
d="m 228.52843,61.091809 0.33313,-12.554874 m -0.33313,12.554874 0.33313,-12.554874"
|
||||
id="path1300-2-2"
|
||||
sodipodi:nodetypes="cc" />
|
||||
<path
|
||||
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-75-2)"
|
||||
d="m 101.90418,61.091809 0.33313,-12.554874 m -0.33313,12.554874 0.33313,-12.554874"
|
||||
id="path1300-2-2-9"
|
||||
sodipodi:nodetypes="cc" />
|
||||
<path
|
||||
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-75-7)"
|
||||
d="m 165.29305,89.571762 0.33313,-12.554874 m -0.33313,12.554874 0.33313,-12.554874"
|
||||
id="path1300-2-2-6"
|
||||
sodipodi:nodetypes="cc" />
|
||||
<path
|
||||
style="fill:none;stroke:#000000;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2-9-75-7-1)"
|
||||
d="m 165.29305,32.445235 0.33313,-12.554874 m -0.33313,12.554874 0.33313,-12.554874"
|
||||
id="path1300-2-2-6-9"
|
||||
sodipodi:nodetypes="cc" />
|
||||
<circle
|
||||
style="fill:#ff0000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
|
||||
id="path3663"
|
||||
cx="132.33408"
|
||||
cy="68.007973"
|
||||
r="2.7302806" />
|
||||
<circle
|
||||
style="fill:#008000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
|
||||
id="path3663-3"
|
||||
cx="126.08154"
|
||||
cy="67.968384"
|
||||
r="2.7302806" />
|
||||
<circle
|
||||
style="fill:#800080;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
|
||||
id="path3663-6"
|
||||
cx="119.58919"
|
||||
cy="67.645035"
|
||||
r="2.7302806" />
|
||||
<circle
|
||||
style="fill:#ff0000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
|
||||
id="path3663-1"
|
||||
cx="18.004833"
|
||||
cy="39.402473"
|
||||
r="2.7302806" />
|
||||
<circle
|
||||
style="fill:#008000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
|
||||
id="path3663-3-0"
|
||||
cx="18.004833"
|
||||
cy="30.371933"
|
||||
r="2.7302806" />
|
||||
<circle
|
||||
style="fill:#800080;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
|
||||
id="path3663-6-6"
|
||||
cx="18.004833"
|
||||
cy="21.341394"
|
||||
r="2.7302806" />
|
||||
<text
|
||||
xml:space="preserve"
|
||||
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;stroke-width:0.264583;fill:#000000"
|
||||
x="6.9525447"
|
||||
y="13.702217"
|
||||
id="text3707"><tspan
|
||||
sodipodi:role="line"
|
||||
id="tspan3705"
|
||||
style="stroke-width:0.264583;fill:#000000"
|
||||
x="6.9525447"
|
||||
y="13.702217">$write(\{a\})$:</tspan></text>
|
||||
<text
|
||||
xml:space="preserve"
|
||||
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
|
||||
x="6.9525447"
|
||||
y="65.261436"
|
||||
id="text3707-1"><tspan
|
||||
sodipodi:role="line"
|
||||
id="tspan3705-5"
|
||||
style="fill:#000000;stroke-width:0.264583"
|
||||
x="6.9525447"
|
||||
y="65.261436">$read()$:</tspan></text>
|
||||
<text
|
||||
xml:space="preserve"
|
||||
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
|
||||
x="23.457415"
|
||||
y="24.042637"
|
||||
id="text3750"><tspan
|
||||
sodipodi:role="line"
|
||||
id="tspan3748"
|
||||
style="fill:#000000;stroke-width:0.264583"
|
||||
x="23.457415"
|
||||
y="24.042637">$\sqsupseteq \{a\} \to$ OK</tspan></text>
|
||||
<text
|
||||
xml:space="preserve"
|
||||
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
|
||||
x="23.457415"
|
||||
y="33.02087"
|
||||
id="text3750-3"><tspan
|
||||
sodipodi:role="line"
|
||||
id="tspan3748-2"
|
||||
style="fill:#000000;stroke-width:0.264583"
|
||||
x="23.457415"
|
||||
y="33.02087">$\sqsupseteq \{a\} \to$ OK</tspan></text>
|
||||
<text
|
||||
xml:space="preserve"
|
||||
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
|
||||
x="23.457415"
|
||||
y="41.972523"
|
||||
id="text3750-0"><tspan
|
||||
sodipodi:role="line"
|
||||
id="tspan3748-6"
|
||||
style="fill:#000000;stroke-width:0.264583"
|
||||
x="23.457415"
|
||||
y="41.972523">$\sqsupseteq \{a\}$</tspan></text>
|
||||
<circle
|
||||
style="fill:#ff0000;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
|
||||
id="path3663-6-6-4"
|
||||
cx="18.004833"
|
||||
cy="70.942116"
|
||||
r="2.7302806" />
|
||||
<text
|
||||
xml:space="preserve"
|
||||
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
|
||||
x="23.457415"
|
||||
y="73.643356"
|
||||
id="text3750-7"><tspan
|
||||
sodipodi:role="line"
|
||||
id="tspan3748-65"
|
||||
style="fill:#000000;stroke-width:0.264583"
|
||||
x="23.457415"
|
||||
y="73.643356">$\to \{\}$</tspan></text>
|
||||
<text
|
||||
xml:space="preserve"
|
||||
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
|
||||
x="14.395845"
|
||||
y="52.022549"
|
||||
id="text4280"><tspan
|
||||
sodipodi:role="line"
|
||||
id="tspan4278"
|
||||
style="fill:#000000;stroke-width:0.264583"
|
||||
x="14.395845"
|
||||
y="52.022549">return OK</tspan></text>
|
||||
<text
|
||||
xml:space="preserve"
|
||||
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
|
||||
x="14.395845"
|
||||
y="92.005798"
|
||||
id="text4280-3"><tspan
|
||||
sodipodi:role="line"
|
||||
id="tspan4278-7"
|
||||
style="fill:#000000;stroke-width:0.264583"
|
||||
x="14.395845"
|
||||
y="92.005798">return $\{\}\sqcup\{a\}=\{a\}$</tspan></text>
|
||||
<circle
|
||||
style="fill:#800080;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
|
||||
id="path3663-1-5"
|
||||
cx="18.004833"
|
||||
cy="81.007744"
|
||||
r="2.7302806" />
|
||||
<text
|
||||
xml:space="preserve"
|
||||
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#000000;stroke-width:0.264583"
|
||||
x="23.457415"
|
||||
y="83.577797"
|
||||
id="text3750-0-6"><tspan
|
||||
sodipodi:role="line"
|
||||
id="tspan3748-6-9"
|
||||
style="fill:#000000;stroke-width:0.264583"
|
||||
x="23.457415"
|
||||
y="83.577797">$\to \{a\}$</tspan></text>
|
||||
</g>
|
||||
</svg>
|
||||
|
After Width: | Height: | Size: 20 KiB |
576
doc/talks/2023-01-18-tocatta/assets/latticeB_1.svg
Normal file
576
doc/talks/2023-01-18-tocatta/assets/latticeB_1.svg
Normal file
|
|
@ -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">
|
||||
<sodipodi:namedview
|
||||
id="namedview7"
|
||||
pagecolor="#ffffff"
|
||||
bordercolor="#666666"
|
||||
borderopacity="1.0"
|
||||
inkscape:showpageshadow="2"
|
||||
inkscape:pageopacity="0.0"
|
||||
inkscape:pagecheckerboard="0"
|
||||
inkscape:deskcolor="#d1d1d1"
|
||||
inkscape:document-units="mm"
|
||||
showgrid="false"
|
||||
inkscape:zoom="1.0419012"
|
||||
inkscape:cx="469.81422"
|
||||
inkscape:cy="257.22209"
|
||||
inkscape:window-width="1920"
|
||||
inkscape:window-height="999"
|
||||
inkscape:window-x="0"
|
||||
inkscape:window-y="0"
|
||||
inkscape:window-maximized="1"
|
||||
inkscape:current-layer="layer2" />
|
||||
<defs
|
||||
id="defs2">
|
||||
<marker
|
||||
style="overflow:visible"
|
||||
id="Arrow2"
|
||||
refX="0"
|
||||
refY="0"
|
||||
orient="auto-start-reverse"
|
||||
inkscape:stockid="Arrow2"
|
||||
markerWidth="7.6999998"
|
||||
markerHeight="5.5999999"
|
||||
viewBox="0 0 7.7 5.6"
|
||||
inkscape:isstock="true"
|
||||
inkscape:collect="always"
|
||||
preserveAspectRatio="xMidYMid">
|
||||
<path
|
||||
transform="scale(0.7)"
|
||||
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
|
||||
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
|
||||
id="arrow2L" />
|
||||
</marker>
|
||||
<marker
|
||||
style="overflow:visible"
|
||||
id="Arrow2-9"
|
||||
refX="0"
|
||||
refY="0"
|
||||
orient="auto-start-reverse"
|
||||
inkscape:stockid="Arrow2"
|
||||
markerWidth="7.6999998"
|
||||
markerHeight="5.5999999"
|
||||
viewBox="0 0 7.7 5.6"
|
||||
inkscape:isstock="true"
|
||||
inkscape:collect="always"
|
||||
preserveAspectRatio="xMidYMid">
|
||||
<path
|
||||
transform="scale(0.7)"
|
||||
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
|
||||
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
|
||||
id="arrow2L-1" />
|
||||
</marker>
|
||||
<marker
|
||||
style="overflow:visible"
|
||||
id="Arrow2-9-7"
|
||||
refX="0"
|
||||
refY="0"
|
||||
orient="auto-start-reverse"
|
||||
inkscape:stockid="Arrow2"
|
||||
markerWidth="7.6999998"
|
||||
markerHeight="5.5999999"
|
||||
viewBox="0 0 7.7 5.6"
|
||||
inkscape:isstock="true"
|
||||
inkscape:collect="always"
|
||||
preserveAspectRatio="xMidYMid">
|
||||
<path
|
||||
transform="scale(0.7)"
|
||||
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
|
||||
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
|
||||
id="arrow2L-1-0" />
|
||||
</marker>
|
||||
<marker
|
||||
style="overflow:visible"
|
||||
id="Arrow2-93"
|
||||
refX="0"
|
||||
refY="0"
|
||||
orient="auto-start-reverse"
|
||||
inkscape:stockid="Arrow2"
|
||||
markerWidth="7.6999998"
|
||||
markerHeight="5.5999999"
|
||||
viewBox="0 0 7.7 5.6"
|
||||
inkscape:isstock="true"
|
||||
inkscape:collect="always"
|
||||
preserveAspectRatio="xMidYMid">
|
||||
<path
|
||||
transform="scale(0.7)"
|
||||
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
|
||||
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
|
||||
id="arrow2L-6" />
|
||||
</marker>
|
||||
<marker
|
||||
style="overflow:visible"
|
||||
id="Arrow2-9-7-2"
|
||||
refX="0"
|
||||
refY="0"
|
||||
orient="auto-start-reverse"
|
||||
inkscape:stockid="Arrow2"
|
||||
markerWidth="7.6999998"
|
||||
markerHeight="5.5999999"
|
||||
viewBox="0 0 7.7 5.6"
|
||||
inkscape:isstock="true"
|
||||
inkscape:collect="always"
|
||||
preserveAspectRatio="xMidYMid">
|
||||
<path
|
||||
transform="scale(0.7)"
|
||||
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
|
||||
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
|
||||
id="arrow2L-1-0-6" />
|
||||
</marker>
|
||||
<marker
|
||||
style="overflow:visible"
|
||||
id="Arrow2-93-1"
|
||||
refX="0"
|
||||
refY="0"
|
||||
orient="auto-start-reverse"
|
||||
inkscape:stockid="Arrow2"
|
||||
markerWidth="7.6999998"
|
||||
markerHeight="5.5999999"
|
||||
viewBox="0 0 7.7 5.6"
|
||||
inkscape:isstock="true"
|
||||
inkscape:collect="always"
|
||||
preserveAspectRatio="xMidYMid">
|
||||
<path
|
||||
transform="scale(0.7)"
|
||||
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
|
||||
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
|
||||
id="arrow2L-6-8" />
|
||||
</marker>
|
||||
<marker
|
||||
style="overflow:visible"
|
||||
id="Arrow2-9-75"
|
||||
refX="0"
|
||||
refY="0"
|
||||
orient="auto-start-reverse"
|
||||
inkscape:stockid="Arrow2"
|
||||
markerWidth="7.6999998"
|
||||
markerHeight="5.5999999"
|
||||
viewBox="0 0 7.7 5.6"
|
||||
inkscape:isstock="true"
|
||||
inkscape:collect="always"
|
||||
preserveAspectRatio="xMidYMid">
|
||||
<path
|
||||
transform="scale(0.7)"
|
||||
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
|
||||
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
|
||||
id="arrow2L-1-9" />
|
||||
</marker>
|
||||
<marker
|
||||
style="overflow:visible"
|
||||
id="Arrow2-9-75-2"
|
||||
refX="0"
|
||||
refY="0"
|
||||
orient="auto-start-reverse"
|
||||
inkscape:stockid="Arrow2"
|
||||
markerWidth="7.6999998"
|
||||
markerHeight="5.5999999"
|
||||
viewBox="0 0 7.7 5.6"
|
||||
inkscape:isstock="true"
|
||||
inkscape:collect="always"
|
||||
preserveAspectRatio="xMidYMid">
|
||||
<path
|
||||
transform="scale(0.7)"
|
||||
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
|
||||
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
|
||||
id="arrow2L-1-9-8" />
|
||||
</marker>
|
||||
<marker
|
||||
style="overflow:visible"
|
||||
id="Arrow2-9-75-7"
|
||||
refX="0"
|
||||
refY="0"
|
||||
orient="auto-start-reverse"
|
||||
inkscape:stockid="Arrow2"
|
||||
markerWidth="7.6999998"
|
||||
markerHeight="5.5999999"
|
||||
viewBox="0 0 7.7 5.6"
|
||||
inkscape:isstock="true"
|
||||
inkscape:collect="always"
|
||||
preserveAspectRatio="xMidYMid">
|
||||
<path
|
||||
transform="scale(0.7)"
|
||||
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
|
||||
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
|
||||
id="arrow2L-1-9-3" />
|
||||
</marker>
|
||||
<marker
|
||||
style="overflow:visible"
|
||||
id="Arrow2-9-75-7-1"
|
||||
refX="0"
|
||||
refY="0"
|
||||
orient="auto-start-reverse"
|
||||
inkscape:stockid="Arrow2"
|
||||
markerWidth="7.6999998"
|
||||
markerHeight="5.5999999"
|
||||
viewBox="0 0 7.7 5.6"
|
||||
inkscape:isstock="true"
|
||||
inkscape:collect="always"
|
||||
preserveAspectRatio="xMidYMid">
|
||||
<path
|
||||
transform="scale(0.7)"
|
||||
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
|
||||
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
|
||||
id="arrow2L-1-9-3-2" />
|
||||
</marker>
|
||||
<marker
|
||||
style="overflow:visible"
|
||||
id="Arrow2-93-1-4"
|
||||
refX="0"
|
||||
refY="0"
|
||||
orient="auto-start-reverse"
|
||||
inkscape:stockid="Arrow2"
|
||||
markerWidth="7.6999998"
|
||||
markerHeight="5.5999999"
|
||||
viewBox="0 0 7.7 5.6"
|
||||
inkscape:isstock="true"
|
||||
inkscape:collect="always"
|
||||
preserveAspectRatio="xMidYMid">
|
||||
<path
|
||||
transform="scale(0.7)"
|
||||
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
|
||||
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
|
||||
id="arrow2L-6-8-7" />
|
||||
</marker>
|
||||
<marker
|
||||
style="overflow:visible"
|
||||
id="Arrow2-9-7-2-8"
|
||||
refX="0"
|
||||
refY="0"
|
||||
orient="auto-start-reverse"
|
||||
inkscape:stockid="Arrow2"
|
||||
markerWidth="7.6999998"
|
||||
markerHeight="5.5999999"
|
||||
viewBox="0 0 7.7 5.6"
|
||||
inkscape:isstock="true"
|
||||
inkscape:collect="always"
|
||||
preserveAspectRatio="xMidYMid">
|
||||
<path
|
||||
transform="scale(0.7)"
|
||||
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
|
||||
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
|
||||
id="arrow2L-1-0-6-4" />
|
||||
</marker>
|
||||
</defs>
|
||||
<g
|
||||
inkscape:label="Layer 1"
|
||||
inkscape:groupmode="layer"
|
||||
id="layer1"
|
||||
sodipodi:insensitive="true">
|
||||
<rect
|
||||
style="fill:#ffffff;stroke:none;stroke-width: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="141.05479"
|
||||
cy="95.316383"
|
||||
r="2.7302806" />
|
||||
<circle
|
||||
style="fill:#800080;stroke:none;stroke-width:0.499999;stroke-dasharray:none;stop-color:#000000"
|
||||
id="path3663-6"
|
||||
cx="134.56244"
|
||||
cy="94.993034"
|
||||
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:#999999;stroke-width:0.264583"
|
||||
x="23.457415"
|
||||
y="24.042637"
|
||||
id="text3750"><tspan
|
||||
sodipodi:role="line"
|
||||
id="tspan3748"
|
||||
style="fill:#999999;stroke-width:0.264583"
|
||||
x="23.457415"
|
||||
y="24.042637">$\not\sqsupseteq \{a\}$</tspan></text>
|
||||
<text
|
||||
xml:space="preserve"
|
||||
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#999999;stroke-width:0.264583"
|
||||
x="23.457415"
|
||||
y="33.02087"
|
||||
id="text3750-3"><tspan
|
||||
sodipodi:role="line"
|
||||
id="tspan3748-2"
|
||||
style="fill:#999999;stroke-width:0.264583"
|
||||
x="23.457415"
|
||||
y="33.02087">$\not\sqsupseteq \{a\}$</tspan></text>
|
||||
<text
|
||||
xml:space="preserve"
|
||||
style="font-size:8.46667px;line-height:1.25;font-family:sans-serif;fill:#999999;stroke-width:0.264583"
|
||||
x="23.457415"
|
||||
y="41.972523"
|
||||
id="text3750-0"><tspan
|
||||
sodipodi:role="line"
|
||||
id="tspan3748-6"
|
||||
style="fill:#999999;stroke-width:0.264583"
|
||||
x="23.457415"
|
||||
y="41.972523">$\not\sqsupseteq \{a\}$</tspan></text>
|
||||
<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:#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:#999999;stroke-width:0.264583"
|
||||
x="23.457415"
|
||||
y="84.598038"
|
||||
id="text3750-3-4"><tspan
|
||||
sodipodi:role="line"
|
||||
id="tspan3748-2-3"
|
||||
style="fill:#999999;stroke-width:0.264583"
|
||||
x="23.457415"
|
||||
y="84.598038">$\not\sqsupseteq \{b\}$</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>
|
||||
</g>
|
||||
</svg>
|
||||
|
After Width: | Height: | Size: 20 KiB |
715
doc/talks/2023-01-18-tocatta/assets/latticeB_10.svg
Normal file
715
doc/talks/2023-01-18-tocatta/assets/latticeB_10.svg
Normal file
|
|
@ -0,0 +1,715 @@
|
|||
<?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_10.svg"
|
||||
xmlns:inkscape="http://www.inkscape.org/namespaces/inkscape"
|
||||
xmlns:sodipodi="http://sodipodi.sourceforge.net/DTD/sodipodi-0.dtd"
|
||||
xmlns="http://www.w3.org/2000/svg"
|
||||
xmlns:svg="http://www.w3.org/2000/svg">
|
||||
<sodipodi:namedview
|
||||
id="namedview7"
|
||||
pagecolor="#ffffff"
|
||||
bordercolor="#666666"
|
||||
borderopacity="1.0"
|
||||
inkscape:showpageshadow="2"
|
||||
inkscape:pageopacity="0.0"
|
||||
inkscape:pagecheckerboard="0"
|
||||
inkscape:deskcolor="#d1d1d1"
|
||||
inkscape:document-units="mm"
|
||||
showgrid="false"
|
||||
inkscape:zoom="1.0419012"
|
||||
inkscape:cx="664.65036"
|
||||
inkscape:cy="366.63745"
|
||||
inkscape:window-width="1920"
|
||||
inkscape:window-height="999"
|
||||
inkscape:window-x="0"
|
||||
inkscape:window-y="0"
|
||||
inkscape:window-maximized="1"
|
||||
inkscape:current-layer="layer2" />
|
||||
<defs
|
||||
id="defs2">
|
||||
<marker
|
||||
style="overflow:visible"
|
||||
id="Arrow2"
|
||||
refX="0"
|
||||
refY="0"
|
||||
orient="auto-start-reverse"
|
||||
inkscape:stockid="Arrow2"
|
||||
markerWidth="7.6999998"
|
||||
markerHeight="5.5999999"
|
||||
viewBox="0 0 7.7 5.6"
|
||||
inkscape:isstock="true"
|
||||
inkscape:collect="always"
|
||||
preserveAspectRatio="xMidYMid">
|
||||
<path
|
||||
transform="scale(0.7)"
|
||||
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
|
||||
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
|
||||
id="arrow2L" />
|
||||
</marker>
|
||||
<marker
|
||||
style="overflow:visible"
|
||||
id="Arrow2-9"
|
||||
refX="0"
|
||||
refY="0"
|
||||
orient="auto-start-reverse"
|
||||
inkscape:stockid="Arrow2"
|
||||
markerWidth="7.6999998"
|
||||
markerHeight="5.5999999"
|
||||
viewBox="0 0 7.7 5.6"
|
||||
inkscape:isstock="true"
|
||||
inkscape:collect="always"
|
||||
preserveAspectRatio="xMidYMid">
|
||||
<path
|
||||
transform="scale(0.7)"
|
||||
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
|
||||
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
|
||||
id="arrow2L-1" />
|
||||
</marker>
|
||||
<marker
|
||||
style="overflow:visible"
|
||||
id="Arrow2-9-7"
|
||||
refX="0"
|
||||
refY="0"
|
||||
orient="auto-start-reverse"
|
||||
inkscape:stockid="Arrow2"
|
||||
markerWidth="7.6999998"
|
||||
markerHeight="5.5999999"
|
||||
viewBox="0 0 7.7 5.6"
|
||||
inkscape:isstock="true"
|
||||
inkscape:collect="always"
|
||||
preserveAspectRatio="xMidYMid">
|
||||
<path
|
||||
transform="scale(0.7)"
|
||||
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
|
||||
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
|
||||
id="arrow2L-1-0" />
|
||||
</marker>
|
||||
<marker
|
||||
style="overflow:visible"
|
||||
id="Arrow2-93"
|
||||
refX="0"
|
||||
refY="0"
|
||||
orient="auto-start-reverse"
|
||||
inkscape:stockid="Arrow2"
|
||||
markerWidth="7.6999998"
|
||||
markerHeight="5.5999999"
|
||||
viewBox="0 0 7.7 5.6"
|
||||
inkscape:isstock="true"
|
||||
inkscape:collect="always"
|
||||
preserveAspectRatio="xMidYMid">
|
||||
<path
|
||||
transform="scale(0.7)"
|
||||
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
|
||||
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
|
||||
id="arrow2L-6" />
|
||||
</marker>
|
||||
<marker
|
||||
style="overflow:visible"
|
||||
id="Arrow2-9-7-2"
|
||||
refX="0"
|
||||
refY="0"
|
||||
orient="auto-start-reverse"
|
||||
inkscape:stockid="Arrow2"
|
||||
markerWidth="7.6999998"
|
||||
markerHeight="5.5999999"
|
||||
viewBox="0 0 7.7 5.6"
|
||||
inkscape:isstock="true"
|
||||
inkscape:collect="always"
|
||||
preserveAspectRatio="xMidYMid">
|
||||
<path
|
||||
transform="scale(0.7)"
|
||||
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
|
||||
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
|
||||
id="arrow2L-1-0-6" />
|
||||
</marker>
|
||||
<marker
|
||||
style="overflow:visible"
|
||||
id="Arrow2-93-1"
|
||||
refX="0"
|
||||
refY="0"
|
||||
orient="auto-start-reverse"
|
||||
inkscape:stockid="Arrow2"
|
||||
markerWidth="7.6999998"
|
||||
markerHeight="5.5999999"
|
||||
viewBox="0 0 7.7 5.6"
|
||||
inkscape:isstock="true"
|
||||
inkscape:collect="always"
|
||||
preserveAspectRatio="xMidYMid">
|
||||
<path
|
||||
transform="scale(0.7)"
|
||||
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
|
||||
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
|
||||
id="arrow2L-6-8" />
|
||||
</marker>
|
||||
<marker
|
||||
style="overflow:visible"
|
||||
id="Arrow2-9-75"
|
||||
refX="0"
|
||||
refY="0"
|
||||
orient="auto-start-reverse"
|
||||
inkscape:stockid="Arrow2"
|
||||
markerWidth="7.6999998"
|
||||
markerHeight="5.5999999"
|
||||
viewBox="0 0 7.7 5.6"
|
||||
inkscape:isstock="true"
|
||||
inkscape:collect="always"
|
||||
preserveAspectRatio="xMidYMid">
|
||||
<path
|
||||
transform="scale(0.7)"
|
||||
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
|
||||
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
|
||||
id="arrow2L-1-9" />
|
||||
</marker>
|
||||
<marker
|
||||
style="overflow:visible"
|
||||
id="Arrow2-9-75-2"
|
||||
refX="0"
|
||||
refY="0"
|
||||
orient="auto-start-reverse"
|
||||
inkscape:stockid="Arrow2"
|
||||
markerWidth="7.6999998"
|
||||
markerHeight="5.5999999"
|
||||
viewBox="0 0 7.7 5.6"
|
||||
inkscape:isstock="true"
|
||||
inkscape:collect="always"
|
||||
preserveAspectRatio="xMidYMid">
|
||||
<path
|
||||
transform="scale(0.7)"
|
||||
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
|
||||
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
|
||||
id="arrow2L-1-9-8" />
|
||||
</marker>
|
||||
<marker
|
||||
style="overflow:visible"
|
||||
id="Arrow2-9-75-7"
|
||||
refX="0"
|
||||
refY="0"
|
||||
orient="auto-start-reverse"
|
||||
inkscape:stockid="Arrow2"
|
||||
markerWidth="7.6999998"
|
||||
markerHeight="5.5999999"
|
||||
viewBox="0 0 7.7 5.6"
|
||||
inkscape:isstock="true"
|
||||
inkscape:collect="always"
|
||||
preserveAspectRatio="xMidYMid">
|
||||
<path
|
||||
transform="scale(0.7)"
|
||||
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
|
||||
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
|
||||
id="arrow2L-1-9-3" />
|
||||
</marker>
|
||||
<marker
|
||||
style="overflow:visible"
|
||||
id="Arrow2-9-75-7-1"
|
||||
refX="0"
|
||||
refY="0"
|
||||
orient="auto-start-reverse"
|
||||
inkscape:stockid="Arrow2"
|
||||
markerWidth="7.6999998"
|
||||
markerHeight="5.5999999"
|
||||
viewBox="0 0 7.7 5.6"
|
||||
inkscape:isstock="true"
|
||||
inkscape:collect="always"
|
||||
preserveAspectRatio="xMidYMid">
|
||||
<path
|
||||
transform="scale(0.7)"
|
||||
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
|
||||
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
|
||||
id="arrow2L-1-9-3-2" />
|
||||
</marker>
|
||||
<marker
|
||||
style="overflow:visible"
|
||||
id="Arrow2-93-1-4"
|
||||
refX="0"
|
||||
refY="0"
|
||||
orient="auto-start-reverse"
|
||||
inkscape:stockid="Arrow2"
|
||||
markerWidth="7.6999998"
|
||||
markerHeight="5.5999999"
|
||||
viewBox="0 0 7.7 5.6"
|
||||
inkscape:isstock="true"
|
||||
inkscape:collect="always"
|
||||
preserveAspectRatio="xMidYMid">
|
||||
<path
|
||||
transform="scale(0.7)"
|
||||
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
|
||||
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
|
||||
id="arrow2L-6-8-7" />
|
||||
</marker>
|
||||
<marker
|
||||
style="overflow:visible"
|
||||
id="Arrow2-9-7-2-8"
|
||||
refX="0"
|
||||
refY="0"
|
||||
orient="auto-start-reverse"
|
||||
inkscape:stockid="Arrow2"
|
||||
markerWidth="7.6999998"
|
||||
markerHeight="5.5999999"
|
||||
viewBox="0 0 7.7 5.6"
|
||||
inkscape:isstock="true"
|
||||
inkscape:collect="always"
|
||||
preserveAspectRatio="xMidYMid">
|
||||
<path
|
||||
transform="scale(0.7)"
|
||||
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
|
||||
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
|
||||
id="arrow2L-1-0-6-4" />
|
||||
</marker>
|
||||
</defs>
|
||||
<g
|
||||
inkscape:label="Layer 1"
|
||||
inkscape:groupmode="layer"
|
||||
id="layer1"
|
||||
sodipodi:insensitive="true">
|
||||
<rect
|
||||
style="fill:#ffffff;stroke:none;stroke-width: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>
|
||||
<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>
|
||||
|
After Width: | Height: | Size: 25 KiB |
576
doc/talks/2023-01-18-tocatta/assets/latticeB_2.svg
Normal file
576
doc/talks/2023-01-18-tocatta/assets/latticeB_2.svg
Normal file
|
|
@ -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"
|
||||
inkscape:pageopacity="0.0"
|
||||
inkscape:pagecheckerboard="0"
|
||||
inkscape:deskcolor="#d1d1d1"
|
||||
inkscape:document-units="mm"
|
||||
showgrid="false"
|
||||
inkscape:zoom="1.4734708"
|
||||
inkscape:cx="586.70996"
|
||||
inkscape:cy="321.01077"
|
||||
inkscape:window-width="1920"
|
||||
inkscape:window-height="999"
|
||||
inkscape:window-x="0"
|
||||
inkscape:window-y="0"
|
||||
inkscape:window-maximized="1"
|
||||
inkscape:current-layer="layer2" />
|
||||
<defs
|
||||
id="defs2">
|
||||
<marker
|
||||
style="overflow:visible"
|
||||
id="Arrow2"
|
||||
refX="0"
|
||||
refY="0"
|
||||
orient="auto-start-reverse"
|
||||
inkscape:stockid="Arrow2"
|
||||
markerWidth="7.6999998"
|
||||
markerHeight="5.5999999"
|
||||
viewBox="0 0 7.7 5.6"
|
||||
inkscape:isstock="true"
|
||||
inkscape:collect="always"
|
||||
preserveAspectRatio="xMidYMid">
|
||||
<path
|
||||
transform="scale(0.7)"
|
||||
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
|
||||
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
|
||||
id="arrow2L" />
|
||||
</marker>
|
||||
<marker
|
||||
style="overflow:visible"
|
||||
id="Arrow2-9"
|
||||
refX="0"
|
||||
refY="0"
|
||||
orient="auto-start-reverse"
|
||||
inkscape:stockid="Arrow2"
|
||||
markerWidth="7.6999998"
|
||||
markerHeight="5.5999999"
|
||||
viewBox="0 0 7.7 5.6"
|
||||
inkscape:isstock="true"
|
||||
inkscape:collect="always"
|
||||
preserveAspectRatio="xMidYMid">
|
||||
<path
|
||||
transform="scale(0.7)"
|
||||
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
|
||||
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
|
||||
id="arrow2L-1" />
|
||||
</marker>
|
||||
<marker
|
||||
style="overflow:visible"
|
||||
id="Arrow2-9-7"
|
||||
refX="0"
|
||||
refY="0"
|
||||
orient="auto-start-reverse"
|
||||
inkscape:stockid="Arrow2"
|
||||
markerWidth="7.6999998"
|
||||
markerHeight="5.5999999"
|
||||
viewBox="0 0 7.7 5.6"
|
||||
inkscape:isstock="true"
|
||||
inkscape:collect="always"
|
||||
preserveAspectRatio="xMidYMid">
|
||||
<path
|
||||
transform="scale(0.7)"
|
||||
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
|
||||
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
|
||||
id="arrow2L-1-0" />
|
||||
</marker>
|
||||
<marker
|
||||
style="overflow:visible"
|
||||
id="Arrow2-93"
|
||||
refX="0"
|
||||
refY="0"
|
||||
orient="auto-start-reverse"
|
||||
inkscape:stockid="Arrow2"
|
||||
markerWidth="7.6999998"
|
||||
markerHeight="5.5999999"
|
||||
viewBox="0 0 7.7 5.6"
|
||||
inkscape:isstock="true"
|
||||
inkscape:collect="always"
|
||||
preserveAspectRatio="xMidYMid">
|
||||
<path
|
||||
transform="scale(0.7)"
|
||||
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
|
||||
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
|
||||
id="arrow2L-6" />
|
||||
</marker>
|
||||
<marker
|
||||
style="overflow:visible"
|
||||
id="Arrow2-9-7-2"
|
||||
refX="0"
|
||||
refY="0"
|
||||
orient="auto-start-reverse"
|
||||
inkscape:stockid="Arrow2"
|
||||
markerWidth="7.6999998"
|
||||
markerHeight="5.5999999"
|
||||
viewBox="0 0 7.7 5.6"
|
||||
inkscape:isstock="true"
|
||||
inkscape:collect="always"
|
||||
preserveAspectRatio="xMidYMid">
|
||||
<path
|
||||
transform="scale(0.7)"
|
||||
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
|
||||
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
|
||||
id="arrow2L-1-0-6" />
|
||||
</marker>
|
||||
<marker
|
||||
style="overflow:visible"
|
||||
id="Arrow2-93-1"
|
||||
refX="0"
|
||||
refY="0"
|
||||
orient="auto-start-reverse"
|
||||
inkscape:stockid="Arrow2"
|
||||
markerWidth="7.6999998"
|
||||
markerHeight="5.5999999"
|
||||
viewBox="0 0 7.7 5.6"
|
||||
inkscape:isstock="true"
|
||||
inkscape:collect="always"
|
||||
preserveAspectRatio="xMidYMid">
|
||||
<path
|
||||
transform="scale(0.7)"
|
||||
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
|
||||
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
|
||||
id="arrow2L-6-8" />
|
||||
</marker>
|
||||
<marker
|
||||
style="overflow:visible"
|
||||
id="Arrow2-9-75"
|
||||
refX="0"
|
||||
refY="0"
|
||||
orient="auto-start-reverse"
|
||||
inkscape:stockid="Arrow2"
|
||||
markerWidth="7.6999998"
|
||||
markerHeight="5.5999999"
|
||||
viewBox="0 0 7.7 5.6"
|
||||
inkscape:isstock="true"
|
||||
inkscape:collect="always"
|
||||
preserveAspectRatio="xMidYMid">
|
||||
<path
|
||||
transform="scale(0.7)"
|
||||
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
|
||||
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
|
||||
id="arrow2L-1-9" />
|
||||
</marker>
|
||||
<marker
|
||||
style="overflow:visible"
|
||||
id="Arrow2-9-75-2"
|
||||
refX="0"
|
||||
refY="0"
|
||||
orient="auto-start-reverse"
|
||||
inkscape:stockid="Arrow2"
|
||||
markerWidth="7.6999998"
|
||||
markerHeight="5.5999999"
|
||||
viewBox="0 0 7.7 5.6"
|
||||
inkscape:isstock="true"
|
||||
inkscape:collect="always"
|
||||
preserveAspectRatio="xMidYMid">
|
||||
<path
|
||||
transform="scale(0.7)"
|
||||
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
|
||||
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
|
||||
id="arrow2L-1-9-8" />
|
||||
</marker>
|
||||
<marker
|
||||
style="overflow:visible"
|
||||
id="Arrow2-9-75-7"
|
||||
refX="0"
|
||||
refY="0"
|
||||
orient="auto-start-reverse"
|
||||
inkscape:stockid="Arrow2"
|
||||
markerWidth="7.6999998"
|
||||
markerHeight="5.5999999"
|
||||
viewBox="0 0 7.7 5.6"
|
||||
inkscape:isstock="true"
|
||||
inkscape:collect="always"
|
||||
preserveAspectRatio="xMidYMid">
|
||||
<path
|
||||
transform="scale(0.7)"
|
||||
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
|
||||
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
|
||||
id="arrow2L-1-9-3" />
|
||||
</marker>
|
||||
<marker
|
||||
style="overflow:visible"
|
||||
id="Arrow2-9-75-7-1"
|
||||
refX="0"
|
||||
refY="0"
|
||||
orient="auto-start-reverse"
|
||||
inkscape:stockid="Arrow2"
|
||||
markerWidth="7.6999998"
|
||||
markerHeight="5.5999999"
|
||||
viewBox="0 0 7.7 5.6"
|
||||
inkscape:isstock="true"
|
||||
inkscape:collect="always"
|
||||
preserveAspectRatio="xMidYMid">
|
||||
<path
|
||||
transform="scale(0.7)"
|
||||
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
|
||||
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
|
||||
id="arrow2L-1-9-3-2" />
|
||||
</marker>
|
||||
<marker
|
||||
style="overflow:visible"
|
||||
id="Arrow2-93-1-4"
|
||||
refX="0"
|
||||
refY="0"
|
||||
orient="auto-start-reverse"
|
||||
inkscape:stockid="Arrow2"
|
||||
markerWidth="7.6999998"
|
||||
markerHeight="5.5999999"
|
||||
viewBox="0 0 7.7 5.6"
|
||||
inkscape:isstock="true"
|
||||
inkscape:collect="always"
|
||||
preserveAspectRatio="xMidYMid">
|
||||
<path
|
||||
transform="scale(0.7)"
|
||||
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
|
||||
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
|
||||
id="arrow2L-6-8-7" />
|
||||
</marker>
|
||||
<marker
|
||||
style="overflow:visible"
|
||||
id="Arrow2-9-7-2-8"
|
||||
refX="0"
|
||||
refY="0"
|
||||
orient="auto-start-reverse"
|
||||
inkscape:stockid="Arrow2"
|
||||
markerWidth="7.6999998"
|
||||
markerHeight="5.5999999"
|
||||
viewBox="0 0 7.7 5.6"
|
||||
inkscape:isstock="true"
|
||||
inkscape:collect="always"
|
||||
preserveAspectRatio="xMidYMid">
|
||||
<path
|
||||
transform="scale(0.7)"
|
||||
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
|
||||
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
|
||||
id="arrow2L-1-0-6-4" />
|
||||
</marker>
|
||||
</defs>
|
||||
<g
|
||||
inkscape:label="Layer 1"
|
||||
inkscape:groupmode="layer"
|
||||
id="layer1"
|
||||
sodipodi:insensitive="true">
|
||||
<rect
|
||||
style="fill:#ffffff;stroke:none;stroke-width: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="141.05479"
|
||||
cy="95.316383"
|
||||
r="2.7302806" />
|
||||
<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:#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:#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:#999999;stroke-width:0.264583"
|
||||
x="23.457415"
|
||||
y="84.598038"
|
||||
id="text3750-3-4"><tspan
|
||||
sodipodi:role="line"
|
||||
id="tspan3748-2-3"
|
||||
style="fill:#999999;stroke-width:0.264583"
|
||||
x="23.457415"
|
||||
y="84.598038">$\not\sqsupseteq \{b\}$</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>
|
||||
</g>
|
||||
</svg>
|
||||
|
After Width: | Height: | Size: 20 KiB |
576
doc/talks/2023-01-18-tocatta/assets/latticeB_3.svg
Normal file
576
doc/talks/2023-01-18-tocatta/assets/latticeB_3.svg
Normal file
|
|
@ -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_3.svg"
|
||||
xmlns:inkscape="http://www.inkscape.org/namespaces/inkscape"
|
||||
xmlns:sodipodi="http://sodipodi.sourceforge.net/DTD/sodipodi-0.dtd"
|
||||
xmlns="http://www.w3.org/2000/svg"
|
||||
xmlns:svg="http://www.w3.org/2000/svg">
|
||||
<sodipodi:namedview
|
||||
id="namedview7"
|
||||
pagecolor="#ffffff"
|
||||
bordercolor="#666666"
|
||||
borderopacity="1.0"
|
||||
inkscape:showpageshadow="2"
|
||||
inkscape:pageopacity="0.0"
|
||||
inkscape:pagecheckerboard="0"
|
||||
inkscape:deskcolor="#d1d1d1"
|
||||
inkscape:document-units="mm"
|
||||
showgrid="false"
|
||||
inkscape:zoom="2.0838024"
|
||||
inkscape:cx="465.25525"
|
||||
inkscape:cy="269.21938"
|
||||
inkscape:window-width="1920"
|
||||
inkscape:window-height="999"
|
||||
inkscape:window-x="0"
|
||||
inkscape:window-y="0"
|
||||
inkscape:window-maximized="1"
|
||||
inkscape:current-layer="layer2" />
|
||||
<defs
|
||||
id="defs2">
|
||||
<marker
|
||||
style="overflow:visible"
|
||||
id="Arrow2"
|
||||
refX="0"
|
||||
refY="0"
|
||||
orient="auto-start-reverse"
|
||||
inkscape:stockid="Arrow2"
|
||||
markerWidth="7.6999998"
|
||||
markerHeight="5.5999999"
|
||||
viewBox="0 0 7.7 5.6"
|
||||
inkscape:isstock="true"
|
||||
inkscape:collect="always"
|
||||
preserveAspectRatio="xMidYMid">
|
||||
<path
|
||||
transform="scale(0.7)"
|
||||
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
|
||||
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
|
||||
id="arrow2L" />
|
||||
</marker>
|
||||
<marker
|
||||
style="overflow:visible"
|
||||
id="Arrow2-9"
|
||||
refX="0"
|
||||
refY="0"
|
||||
orient="auto-start-reverse"
|
||||
inkscape:stockid="Arrow2"
|
||||
markerWidth="7.6999998"
|
||||
markerHeight="5.5999999"
|
||||
viewBox="0 0 7.7 5.6"
|
||||
inkscape:isstock="true"
|
||||
inkscape:collect="always"
|
||||
preserveAspectRatio="xMidYMid">
|
||||
<path
|
||||
transform="scale(0.7)"
|
||||
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
|
||||
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
|
||||
id="arrow2L-1" />
|
||||
</marker>
|
||||
<marker
|
||||
style="overflow:visible"
|
||||
id="Arrow2-9-7"
|
||||
refX="0"
|
||||
refY="0"
|
||||
orient="auto-start-reverse"
|
||||
inkscape:stockid="Arrow2"
|
||||
markerWidth="7.6999998"
|
||||
markerHeight="5.5999999"
|
||||
viewBox="0 0 7.7 5.6"
|
||||
inkscape:isstock="true"
|
||||
inkscape:collect="always"
|
||||
preserveAspectRatio="xMidYMid">
|
||||
<path
|
||||
transform="scale(0.7)"
|
||||
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
|
||||
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
|
||||
id="arrow2L-1-0" />
|
||||
</marker>
|
||||
<marker
|
||||
style="overflow:visible"
|
||||
id="Arrow2-93"
|
||||
refX="0"
|
||||
refY="0"
|
||||
orient="auto-start-reverse"
|
||||
inkscape:stockid="Arrow2"
|
||||
markerWidth="7.6999998"
|
||||
markerHeight="5.5999999"
|
||||
viewBox="0 0 7.7 5.6"
|
||||
inkscape:isstock="true"
|
||||
inkscape:collect="always"
|
||||
preserveAspectRatio="xMidYMid">
|
||||
<path
|
||||
transform="scale(0.7)"
|
||||
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
|
||||
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
|
||||
id="arrow2L-6" />
|
||||
</marker>
|
||||
<marker
|
||||
style="overflow:visible"
|
||||
id="Arrow2-9-7-2"
|
||||
refX="0"
|
||||
refY="0"
|
||||
orient="auto-start-reverse"
|
||||
inkscape:stockid="Arrow2"
|
||||
markerWidth="7.6999998"
|
||||
markerHeight="5.5999999"
|
||||
viewBox="0 0 7.7 5.6"
|
||||
inkscape:isstock="true"
|
||||
inkscape:collect="always"
|
||||
preserveAspectRatio="xMidYMid">
|
||||
<path
|
||||
transform="scale(0.7)"
|
||||
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
|
||||
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
|
||||
id="arrow2L-1-0-6" />
|
||||
</marker>
|
||||
<marker
|
||||
style="overflow:visible"
|
||||
id="Arrow2-93-1"
|
||||
refX="0"
|
||||
refY="0"
|
||||
orient="auto-start-reverse"
|
||||
inkscape:stockid="Arrow2"
|
||||
markerWidth="7.6999998"
|
||||
markerHeight="5.5999999"
|
||||
viewBox="0 0 7.7 5.6"
|
||||
inkscape:isstock="true"
|
||||
inkscape:collect="always"
|
||||
preserveAspectRatio="xMidYMid">
|
||||
<path
|
||||
transform="scale(0.7)"
|
||||
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
|
||||
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
|
||||
id="arrow2L-6-8" />
|
||||
</marker>
|
||||
<marker
|
||||
style="overflow:visible"
|
||||
id="Arrow2-9-75"
|
||||
refX="0"
|
||||
refY="0"
|
||||
orient="auto-start-reverse"
|
||||
inkscape:stockid="Arrow2"
|
||||
markerWidth="7.6999998"
|
||||
markerHeight="5.5999999"
|
||||
viewBox="0 0 7.7 5.6"
|
||||
inkscape:isstock="true"
|
||||
inkscape:collect="always"
|
||||
preserveAspectRatio="xMidYMid">
|
||||
<path
|
||||
transform="scale(0.7)"
|
||||
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
|
||||
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
|
||||
id="arrow2L-1-9" />
|
||||
</marker>
|
||||
<marker
|
||||
style="overflow:visible"
|
||||
id="Arrow2-9-75-2"
|
||||
refX="0"
|
||||
refY="0"
|
||||
orient="auto-start-reverse"
|
||||
inkscape:stockid="Arrow2"
|
||||
markerWidth="7.6999998"
|
||||
markerHeight="5.5999999"
|
||||
viewBox="0 0 7.7 5.6"
|
||||
inkscape:isstock="true"
|
||||
inkscape:collect="always"
|
||||
preserveAspectRatio="xMidYMid">
|
||||
<path
|
||||
transform="scale(0.7)"
|
||||
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
|
||||
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
|
||||
id="arrow2L-1-9-8" />
|
||||
</marker>
|
||||
<marker
|
||||
style="overflow:visible"
|
||||
id="Arrow2-9-75-7"
|
||||
refX="0"
|
||||
refY="0"
|
||||
orient="auto-start-reverse"
|
||||
inkscape:stockid="Arrow2"
|
||||
markerWidth="7.6999998"
|
||||
markerHeight="5.5999999"
|
||||
viewBox="0 0 7.7 5.6"
|
||||
inkscape:isstock="true"
|
||||
inkscape:collect="always"
|
||||
preserveAspectRatio="xMidYMid">
|
||||
<path
|
||||
transform="scale(0.7)"
|
||||
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
|
||||
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
|
||||
id="arrow2L-1-9-3" />
|
||||
</marker>
|
||||
<marker
|
||||
style="overflow:visible"
|
||||
id="Arrow2-9-75-7-1"
|
||||
refX="0"
|
||||
refY="0"
|
||||
orient="auto-start-reverse"
|
||||
inkscape:stockid="Arrow2"
|
||||
markerWidth="7.6999998"
|
||||
markerHeight="5.5999999"
|
||||
viewBox="0 0 7.7 5.6"
|
||||
inkscape:isstock="true"
|
||||
inkscape:collect="always"
|
||||
preserveAspectRatio="xMidYMid">
|
||||
<path
|
||||
transform="scale(0.7)"
|
||||
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
|
||||
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
|
||||
id="arrow2L-1-9-3-2" />
|
||||
</marker>
|
||||
<marker
|
||||
style="overflow:visible"
|
||||
id="Arrow2-93-1-4"
|
||||
refX="0"
|
||||
refY="0"
|
||||
orient="auto-start-reverse"
|
||||
inkscape:stockid="Arrow2"
|
||||
markerWidth="7.6999998"
|
||||
markerHeight="5.5999999"
|
||||
viewBox="0 0 7.7 5.6"
|
||||
inkscape:isstock="true"
|
||||
inkscape:collect="always"
|
||||
preserveAspectRatio="xMidYMid">
|
||||
<path
|
||||
transform="scale(0.7)"
|
||||
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
|
||||
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
|
||||
id="arrow2L-6-8-7" />
|
||||
</marker>
|
||||
<marker
|
||||
style="overflow:visible"
|
||||
id="Arrow2-9-7-2-8"
|
||||
refX="0"
|
||||
refY="0"
|
||||
orient="auto-start-reverse"
|
||||
inkscape:stockid="Arrow2"
|
||||
markerWidth="7.6999998"
|
||||
markerHeight="5.5999999"
|
||||
viewBox="0 0 7.7 5.6"
|
||||
inkscape:isstock="true"
|
||||
inkscape:collect="always"
|
||||
preserveAspectRatio="xMidYMid">
|
||||
<path
|
||||
transform="scale(0.7)"
|
||||
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
|
||||
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
|
||||
id="arrow2L-1-0-6-4" />
|
||||
</marker>
|
||||
</defs>
|
||||
<g
|
||||
inkscape:label="Layer 1"
|
||||
inkscape:groupmode="layer"
|
||||
id="layer1"
|
||||
sodipodi:insensitive="true">
|
||||
<rect
|
||||
style="fill:#ffffff;stroke:none;stroke-width: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:#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" />
|
||||
</g>
|
||||
</svg>
|
||||
|
After Width: | Height: | Size: 20 KiB |
587
doc/talks/2023-01-18-tocatta/assets/latticeB_4.svg
Normal file
587
doc/talks/2023-01-18-tocatta/assets/latticeB_4.svg
Normal file
|
|
@ -0,0 +1,587 @@
|
|||
<?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_4.svg"
|
||||
xmlns:inkscape="http://www.inkscape.org/namespaces/inkscape"
|
||||
xmlns:sodipodi="http://sodipodi.sourceforge.net/DTD/sodipodi-0.dtd"
|
||||
xmlns="http://www.w3.org/2000/svg"
|
||||
xmlns:svg="http://www.w3.org/2000/svg">
|
||||
<sodipodi:namedview
|
||||
id="namedview7"
|
||||
pagecolor="#ffffff"
|
||||
bordercolor="#666666"
|
||||
borderopacity="1.0"
|
||||
inkscape:showpageshadow="2"
|
||||
inkscape:pageopacity="0.0"
|
||||
inkscape:pagecheckerboard="0"
|
||||
inkscape:deskcolor="#d1d1d1"
|
||||
inkscape:document-units="mm"
|
||||
showgrid="false"
|
||||
inkscape:zoom="1.0419012"
|
||||
inkscape:cx="505.32622"
|
||||
inkscape:cy="316.72869"
|
||||
inkscape:window-width="1920"
|
||||
inkscape:window-height="999"
|
||||
inkscape:window-x="0"
|
||||
inkscape:window-y="0"
|
||||
inkscape:window-maximized="1"
|
||||
inkscape:current-layer="layer2" />
|
||||
<defs
|
||||
id="defs2">
|
||||
<marker
|
||||
style="overflow:visible"
|
||||
id="Arrow2"
|
||||
refX="0"
|
||||
refY="0"
|
||||
orient="auto-start-reverse"
|
||||
inkscape:stockid="Arrow2"
|
||||
markerWidth="7.6999998"
|
||||
markerHeight="5.5999999"
|
||||
viewBox="0 0 7.7 5.6"
|
||||
inkscape:isstock="true"
|
||||
inkscape:collect="always"
|
||||
preserveAspectRatio="xMidYMid">
|
||||
<path
|
||||
transform="scale(0.7)"
|
||||
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
|
||||
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
|
||||
id="arrow2L" />
|
||||
</marker>
|
||||
<marker
|
||||
style="overflow:visible"
|
||||
id="Arrow2-9"
|
||||
refX="0"
|
||||
refY="0"
|
||||
orient="auto-start-reverse"
|
||||
inkscape:stockid="Arrow2"
|
||||
markerWidth="7.6999998"
|
||||
markerHeight="5.5999999"
|
||||
viewBox="0 0 7.7 5.6"
|
||||
inkscape:isstock="true"
|
||||
inkscape:collect="always"
|
||||
preserveAspectRatio="xMidYMid">
|
||||
<path
|
||||
transform="scale(0.7)"
|
||||
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
|
||||
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
|
||||
id="arrow2L-1" />
|
||||
</marker>
|
||||
<marker
|
||||
style="overflow:visible"
|
||||
id="Arrow2-9-7"
|
||||
refX="0"
|
||||
refY="0"
|
||||
orient="auto-start-reverse"
|
||||
inkscape:stockid="Arrow2"
|
||||
markerWidth="7.6999998"
|
||||
markerHeight="5.5999999"
|
||||
viewBox="0 0 7.7 5.6"
|
||||
inkscape:isstock="true"
|
||||
inkscape:collect="always"
|
||||
preserveAspectRatio="xMidYMid">
|
||||
<path
|
||||
transform="scale(0.7)"
|
||||
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
|
||||
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
|
||||
id="arrow2L-1-0" />
|
||||
</marker>
|
||||
<marker
|
||||
style="overflow:visible"
|
||||
id="Arrow2-93"
|
||||
refX="0"
|
||||
refY="0"
|
||||
orient="auto-start-reverse"
|
||||
inkscape:stockid="Arrow2"
|
||||
markerWidth="7.6999998"
|
||||
markerHeight="5.5999999"
|
||||
viewBox="0 0 7.7 5.6"
|
||||
inkscape:isstock="true"
|
||||
inkscape:collect="always"
|
||||
preserveAspectRatio="xMidYMid">
|
||||
<path
|
||||
transform="scale(0.7)"
|
||||
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
|
||||
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
|
||||
id="arrow2L-6" />
|
||||
</marker>
|
||||
<marker
|
||||
style="overflow:visible"
|
||||
id="Arrow2-9-7-2"
|
||||
refX="0"
|
||||
refY="0"
|
||||
orient="auto-start-reverse"
|
||||
inkscape:stockid="Arrow2"
|
||||
markerWidth="7.6999998"
|
||||
markerHeight="5.5999999"
|
||||
viewBox="0 0 7.7 5.6"
|
||||
inkscape:isstock="true"
|
||||
inkscape:collect="always"
|
||||
preserveAspectRatio="xMidYMid">
|
||||
<path
|
||||
transform="scale(0.7)"
|
||||
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
|
||||
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
|
||||
id="arrow2L-1-0-6" />
|
||||
</marker>
|
||||
<marker
|
||||
style="overflow:visible"
|
||||
id="Arrow2-93-1"
|
||||
refX="0"
|
||||
refY="0"
|
||||
orient="auto-start-reverse"
|
||||
inkscape:stockid="Arrow2"
|
||||
markerWidth="7.6999998"
|
||||
markerHeight="5.5999999"
|
||||
viewBox="0 0 7.7 5.6"
|
||||
inkscape:isstock="true"
|
||||
inkscape:collect="always"
|
||||
preserveAspectRatio="xMidYMid">
|
||||
<path
|
||||
transform="scale(0.7)"
|
||||
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
|
||||
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
|
||||
id="arrow2L-6-8" />
|
||||
</marker>
|
||||
<marker
|
||||
style="overflow:visible"
|
||||
id="Arrow2-9-75"
|
||||
refX="0"
|
||||
refY="0"
|
||||
orient="auto-start-reverse"
|
||||
inkscape:stockid="Arrow2"
|
||||
markerWidth="7.6999998"
|
||||
markerHeight="5.5999999"
|
||||
viewBox="0 0 7.7 5.6"
|
||||
inkscape:isstock="true"
|
||||
inkscape:collect="always"
|
||||
preserveAspectRatio="xMidYMid">
|
||||
<path
|
||||
transform="scale(0.7)"
|
||||
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
|
||||
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
|
||||
id="arrow2L-1-9" />
|
||||
</marker>
|
||||
<marker
|
||||
style="overflow:visible"
|
||||
id="Arrow2-9-75-2"
|
||||
refX="0"
|
||||
refY="0"
|
||||
orient="auto-start-reverse"
|
||||
inkscape:stockid="Arrow2"
|
||||
markerWidth="7.6999998"
|
||||
markerHeight="5.5999999"
|
||||
viewBox="0 0 7.7 5.6"
|
||||
inkscape:isstock="true"
|
||||
inkscape:collect="always"
|
||||
preserveAspectRatio="xMidYMid">
|
||||
<path
|
||||
transform="scale(0.7)"
|
||||
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
|
||||
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
|
||||
id="arrow2L-1-9-8" />
|
||||
</marker>
|
||||
<marker
|
||||
style="overflow:visible"
|
||||
id="Arrow2-9-75-7"
|
||||
refX="0"
|
||||
refY="0"
|
||||
orient="auto-start-reverse"
|
||||
inkscape:stockid="Arrow2"
|
||||
markerWidth="7.6999998"
|
||||
markerHeight="5.5999999"
|
||||
viewBox="0 0 7.7 5.6"
|
||||
inkscape:isstock="true"
|
||||
inkscape:collect="always"
|
||||
preserveAspectRatio="xMidYMid">
|
||||
<path
|
||||
transform="scale(0.7)"
|
||||
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
|
||||
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
|
||||
id="arrow2L-1-9-3" />
|
||||
</marker>
|
||||
<marker
|
||||
style="overflow:visible"
|
||||
id="Arrow2-9-75-7-1"
|
||||
refX="0"
|
||||
refY="0"
|
||||
orient="auto-start-reverse"
|
||||
inkscape:stockid="Arrow2"
|
||||
markerWidth="7.6999998"
|
||||
markerHeight="5.5999999"
|
||||
viewBox="0 0 7.7 5.6"
|
||||
inkscape:isstock="true"
|
||||
inkscape:collect="always"
|
||||
preserveAspectRatio="xMidYMid">
|
||||
<path
|
||||
transform="scale(0.7)"
|
||||
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
|
||||
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
|
||||
id="arrow2L-1-9-3-2" />
|
||||
</marker>
|
||||
<marker
|
||||
style="overflow:visible"
|
||||
id="Arrow2-93-1-4"
|
||||
refX="0"
|
||||
refY="0"
|
||||
orient="auto-start-reverse"
|
||||
inkscape:stockid="Arrow2"
|
||||
markerWidth="7.6999998"
|
||||
markerHeight="5.5999999"
|
||||
viewBox="0 0 7.7 5.6"
|
||||
inkscape:isstock="true"
|
||||
inkscape:collect="always"
|
||||
preserveAspectRatio="xMidYMid">
|
||||
<path
|
||||
transform="scale(0.7)"
|
||||
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
|
||||
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
|
||||
id="arrow2L-6-8-7" />
|
||||
</marker>
|
||||
<marker
|
||||
style="overflow:visible"
|
||||
id="Arrow2-9-7-2-8"
|
||||
refX="0"
|
||||
refY="0"
|
||||
orient="auto-start-reverse"
|
||||
inkscape:stockid="Arrow2"
|
||||
markerWidth="7.6999998"
|
||||
markerHeight="5.5999999"
|
||||
viewBox="0 0 7.7 5.6"
|
||||
inkscape:isstock="true"
|
||||
inkscape:collect="always"
|
||||
preserveAspectRatio="xMidYMid">
|
||||
<path
|
||||
transform="scale(0.7)"
|
||||
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
|
||||
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
|
||||
id="arrow2L-1-0-6-4" />
|
||||
</marker>
|
||||
</defs>
|
||||
<g
|
||||
inkscape:label="Layer 1"
|
||||
inkscape:groupmode="layer"
|
||||
id="layer1"
|
||||
sodipodi:insensitive="true">
|
||||
<rect
|
||||
style="fill:#ffffff;stroke:none;stroke-width: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" />
|
||||
</g>
|
||||
</svg>
|
||||
|
After Width: | Height: | Size: 21 KiB |
604
doc/talks/2023-01-18-tocatta/assets/latticeB_5.svg
Normal file
604
doc/talks/2023-01-18-tocatta/assets/latticeB_5.svg
Normal file
|
|
@ -0,0 +1,604 @@
|
|||
<?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_5.svg"
|
||||
xmlns:inkscape="http://www.inkscape.org/namespaces/inkscape"
|
||||
xmlns:sodipodi="http://sodipodi.sourceforge.net/DTD/sodipodi-0.dtd"
|
||||
xmlns="http://www.w3.org/2000/svg"
|
||||
xmlns:svg="http://www.w3.org/2000/svg">
|
||||
<sodipodi:namedview
|
||||
id="namedview7"
|
||||
pagecolor="#ffffff"
|
||||
bordercolor="#666666"
|
||||
borderopacity="1.0"
|
||||
inkscape:showpageshadow="2"
|
||||
inkscape:pageopacity="0.0"
|
||||
inkscape:pagecheckerboard="0"
|
||||
inkscape:deskcolor="#d1d1d1"
|
||||
inkscape:document-units="mm"
|
||||
showgrid="false"
|
||||
inkscape:zoom="1.4734708"
|
||||
inkscape:cx="408.21983"
|
||||
inkscape:cy="319.65343"
|
||||
inkscape:window-width="1920"
|
||||
inkscape:window-height="999"
|
||||
inkscape:window-x="0"
|
||||
inkscape:window-y="0"
|
||||
inkscape:window-maximized="1"
|
||||
inkscape:current-layer="layer2" />
|
||||
<defs
|
||||
id="defs2">
|
||||
<marker
|
||||
style="overflow:visible"
|
||||
id="Arrow2"
|
||||
refX="0"
|
||||
refY="0"
|
||||
orient="auto-start-reverse"
|
||||
inkscape:stockid="Arrow2"
|
||||
markerWidth="7.6999998"
|
||||
markerHeight="5.5999999"
|
||||
viewBox="0 0 7.7 5.6"
|
||||
inkscape:isstock="true"
|
||||
inkscape:collect="always"
|
||||
preserveAspectRatio="xMidYMid">
|
||||
<path
|
||||
transform="scale(0.7)"
|
||||
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
|
||||
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
|
||||
id="arrow2L" />
|
||||
</marker>
|
||||
<marker
|
||||
style="overflow:visible"
|
||||
id="Arrow2-9"
|
||||
refX="0"
|
||||
refY="0"
|
||||
orient="auto-start-reverse"
|
||||
inkscape:stockid="Arrow2"
|
||||
markerWidth="7.6999998"
|
||||
markerHeight="5.5999999"
|
||||
viewBox="0 0 7.7 5.6"
|
||||
inkscape:isstock="true"
|
||||
inkscape:collect="always"
|
||||
preserveAspectRatio="xMidYMid">
|
||||
<path
|
||||
transform="scale(0.7)"
|
||||
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
|
||||
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
|
||||
id="arrow2L-1" />
|
||||
</marker>
|
||||
<marker
|
||||
style="overflow:visible"
|
||||
id="Arrow2-9-7"
|
||||
refX="0"
|
||||
refY="0"
|
||||
orient="auto-start-reverse"
|
||||
inkscape:stockid="Arrow2"
|
||||
markerWidth="7.6999998"
|
||||
markerHeight="5.5999999"
|
||||
viewBox="0 0 7.7 5.6"
|
||||
inkscape:isstock="true"
|
||||
inkscape:collect="always"
|
||||
preserveAspectRatio="xMidYMid">
|
||||
<path
|
||||
transform="scale(0.7)"
|
||||
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
|
||||
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
|
||||
id="arrow2L-1-0" />
|
||||
</marker>
|
||||
<marker
|
||||
style="overflow:visible"
|
||||
id="Arrow2-93"
|
||||
refX="0"
|
||||
refY="0"
|
||||
orient="auto-start-reverse"
|
||||
inkscape:stockid="Arrow2"
|
||||
markerWidth="7.6999998"
|
||||
markerHeight="5.5999999"
|
||||
viewBox="0 0 7.7 5.6"
|
||||
inkscape:isstock="true"
|
||||
inkscape:collect="always"
|
||||
preserveAspectRatio="xMidYMid">
|
||||
<path
|
||||
transform="scale(0.7)"
|
||||
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
|
||||
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
|
||||
id="arrow2L-6" />
|
||||
</marker>
|
||||
<marker
|
||||
style="overflow:visible"
|
||||
id="Arrow2-9-7-2"
|
||||
refX="0"
|
||||
refY="0"
|
||||
orient="auto-start-reverse"
|
||||
inkscape:stockid="Arrow2"
|
||||
markerWidth="7.6999998"
|
||||
markerHeight="5.5999999"
|
||||
viewBox="0 0 7.7 5.6"
|
||||
inkscape:isstock="true"
|
||||
inkscape:collect="always"
|
||||
preserveAspectRatio="xMidYMid">
|
||||
<path
|
||||
transform="scale(0.7)"
|
||||
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
|
||||
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
|
||||
id="arrow2L-1-0-6" />
|
||||
</marker>
|
||||
<marker
|
||||
style="overflow:visible"
|
||||
id="Arrow2-93-1"
|
||||
refX="0"
|
||||
refY="0"
|
||||
orient="auto-start-reverse"
|
||||
inkscape:stockid="Arrow2"
|
||||
markerWidth="7.6999998"
|
||||
markerHeight="5.5999999"
|
||||
viewBox="0 0 7.7 5.6"
|
||||
inkscape:isstock="true"
|
||||
inkscape:collect="always"
|
||||
preserveAspectRatio="xMidYMid">
|
||||
<path
|
||||
transform="scale(0.7)"
|
||||
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
|
||||
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
|
||||
id="arrow2L-6-8" />
|
||||
</marker>
|
||||
<marker
|
||||
style="overflow:visible"
|
||||
id="Arrow2-9-75"
|
||||
refX="0"
|
||||
refY="0"
|
||||
orient="auto-start-reverse"
|
||||
inkscape:stockid="Arrow2"
|
||||
markerWidth="7.6999998"
|
||||
markerHeight="5.5999999"
|
||||
viewBox="0 0 7.7 5.6"
|
||||
inkscape:isstock="true"
|
||||
inkscape:collect="always"
|
||||
preserveAspectRatio="xMidYMid">
|
||||
<path
|
||||
transform="scale(0.7)"
|
||||
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
|
||||
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
|
||||
id="arrow2L-1-9" />
|
||||
</marker>
|
||||
<marker
|
||||
style="overflow:visible"
|
||||
id="Arrow2-9-75-2"
|
||||
refX="0"
|
||||
refY="0"
|
||||
orient="auto-start-reverse"
|
||||
inkscape:stockid="Arrow2"
|
||||
markerWidth="7.6999998"
|
||||
markerHeight="5.5999999"
|
||||
viewBox="0 0 7.7 5.6"
|
||||
inkscape:isstock="true"
|
||||
inkscape:collect="always"
|
||||
preserveAspectRatio="xMidYMid">
|
||||
<path
|
||||
transform="scale(0.7)"
|
||||
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
|
||||
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
|
||||
id="arrow2L-1-9-8" />
|
||||
</marker>
|
||||
<marker
|
||||
style="overflow:visible"
|
||||
id="Arrow2-9-75-7"
|
||||
refX="0"
|
||||
refY="0"
|
||||
orient="auto-start-reverse"
|
||||
inkscape:stockid="Arrow2"
|
||||
markerWidth="7.6999998"
|
||||
markerHeight="5.5999999"
|
||||
viewBox="0 0 7.7 5.6"
|
||||
inkscape:isstock="true"
|
||||
inkscape:collect="always"
|
||||
preserveAspectRatio="xMidYMid">
|
||||
<path
|
||||
transform="scale(0.7)"
|
||||
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
|
||||
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
|
||||
id="arrow2L-1-9-3" />
|
||||
</marker>
|
||||
<marker
|
||||
style="overflow:visible"
|
||||
id="Arrow2-9-75-7-1"
|
||||
refX="0"
|
||||
refY="0"
|
||||
orient="auto-start-reverse"
|
||||
inkscape:stockid="Arrow2"
|
||||
markerWidth="7.6999998"
|
||||
markerHeight="5.5999999"
|
||||
viewBox="0 0 7.7 5.6"
|
||||
inkscape:isstock="true"
|
||||
inkscape:collect="always"
|
||||
preserveAspectRatio="xMidYMid">
|
||||
<path
|
||||
transform="scale(0.7)"
|
||||
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
|
||||
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
|
||||
id="arrow2L-1-9-3-2" />
|
||||
</marker>
|
||||
<marker
|
||||
style="overflow:visible"
|
||||
id="Arrow2-93-1-4"
|
||||
refX="0"
|
||||
refY="0"
|
||||
orient="auto-start-reverse"
|
||||
inkscape:stockid="Arrow2"
|
||||
markerWidth="7.6999998"
|
||||
markerHeight="5.5999999"
|
||||
viewBox="0 0 7.7 5.6"
|
||||
inkscape:isstock="true"
|
||||
inkscape:collect="always"
|
||||
preserveAspectRatio="xMidYMid">
|
||||
<path
|
||||
transform="scale(0.7)"
|
||||
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
|
||||
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
|
||||
id="arrow2L-6-8-7" />
|
||||
</marker>
|
||||
<marker
|
||||
style="overflow:visible"
|
||||
id="Arrow2-9-7-2-8"
|
||||
refX="0"
|
||||
refY="0"
|
||||
orient="auto-start-reverse"
|
||||
inkscape:stockid="Arrow2"
|
||||
markerWidth="7.6999998"
|
||||
markerHeight="5.5999999"
|
||||
viewBox="0 0 7.7 5.6"
|
||||
inkscape:isstock="true"
|
||||
inkscape:collect="always"
|
||||
preserveAspectRatio="xMidYMid">
|
||||
<path
|
||||
transform="scale(0.7)"
|
||||
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
|
||||
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
|
||||
id="arrow2L-1-0-6-4" />
|
||||
</marker>
|
||||
</defs>
|
||||
<g
|
||||
inkscape:label="Layer 1"
|
||||
inkscape:groupmode="layer"
|
||||
id="layer1"
|
||||
sodipodi:insensitive="true">
|
||||
<rect
|
||||
style="fill:#ffffff;stroke:none;stroke-width: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>
|
||||
</g>
|
||||
</svg>
|
||||
|
After Width: | Height: | Size: 21 KiB |
632
doc/talks/2023-01-18-tocatta/assets/latticeB_6.svg
Normal file
632
doc/talks/2023-01-18-tocatta/assets/latticeB_6.svg
Normal file
|
|
@ -0,0 +1,632 @@
|
|||
<?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_6.svg"
|
||||
xmlns:inkscape="http://www.inkscape.org/namespaces/inkscape"
|
||||
xmlns:sodipodi="http://sodipodi.sourceforge.net/DTD/sodipodi-0.dtd"
|
||||
xmlns="http://www.w3.org/2000/svg"
|
||||
xmlns:svg="http://www.w3.org/2000/svg">
|
||||
<sodipodi:namedview
|
||||
id="namedview7"
|
||||
pagecolor="#ffffff"
|
||||
bordercolor="#666666"
|
||||
borderopacity="1.0"
|
||||
inkscape:showpageshadow="2"
|
||||
inkscape:pageopacity="0.0"
|
||||
inkscape:pagecheckerboard="0"
|
||||
inkscape:deskcolor="#d1d1d1"
|
||||
inkscape:document-units="mm"
|
||||
showgrid="false"
|
||||
inkscape:zoom="1.4734708"
|
||||
inkscape:cx="408.21983"
|
||||
inkscape:cy="319.65343"
|
||||
inkscape:window-width="1920"
|
||||
inkscape:window-height="999"
|
||||
inkscape:window-x="0"
|
||||
inkscape:window-y="0"
|
||||
inkscape:window-maximized="1"
|
||||
inkscape:current-layer="layer2" />
|
||||
<defs
|
||||
id="defs2">
|
||||
<marker
|
||||
style="overflow:visible"
|
||||
id="Arrow2"
|
||||
refX="0"
|
||||
refY="0"
|
||||
orient="auto-start-reverse"
|
||||
inkscape:stockid="Arrow2"
|
||||
markerWidth="7.6999998"
|
||||
markerHeight="5.5999999"
|
||||
viewBox="0 0 7.7 5.6"
|
||||
inkscape:isstock="true"
|
||||
inkscape:collect="always"
|
||||
preserveAspectRatio="xMidYMid">
|
||||
<path
|
||||
transform="scale(0.7)"
|
||||
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
|
||||
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
|
||||
id="arrow2L" />
|
||||
</marker>
|
||||
<marker
|
||||
style="overflow:visible"
|
||||
id="Arrow2-9"
|
||||
refX="0"
|
||||
refY="0"
|
||||
orient="auto-start-reverse"
|
||||
inkscape:stockid="Arrow2"
|
||||
markerWidth="7.6999998"
|
||||
markerHeight="5.5999999"
|
||||
viewBox="0 0 7.7 5.6"
|
||||
inkscape:isstock="true"
|
||||
inkscape:collect="always"
|
||||
preserveAspectRatio="xMidYMid">
|
||||
<path
|
||||
transform="scale(0.7)"
|
||||
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
|
||||
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
|
||||
id="arrow2L-1" />
|
||||
</marker>
|
||||
<marker
|
||||
style="overflow:visible"
|
||||
id="Arrow2-9-7"
|
||||
refX="0"
|
||||
refY="0"
|
||||
orient="auto-start-reverse"
|
||||
inkscape:stockid="Arrow2"
|
||||
markerWidth="7.6999998"
|
||||
markerHeight="5.5999999"
|
||||
viewBox="0 0 7.7 5.6"
|
||||
inkscape:isstock="true"
|
||||
inkscape:collect="always"
|
||||
preserveAspectRatio="xMidYMid">
|
||||
<path
|
||||
transform="scale(0.7)"
|
||||
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
|
||||
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
|
||||
id="arrow2L-1-0" />
|
||||
</marker>
|
||||
<marker
|
||||
style="overflow:visible"
|
||||
id="Arrow2-93"
|
||||
refX="0"
|
||||
refY="0"
|
||||
orient="auto-start-reverse"
|
||||
inkscape:stockid="Arrow2"
|
||||
markerWidth="7.6999998"
|
||||
markerHeight="5.5999999"
|
||||
viewBox="0 0 7.7 5.6"
|
||||
inkscape:isstock="true"
|
||||
inkscape:collect="always"
|
||||
preserveAspectRatio="xMidYMid">
|
||||
<path
|
||||
transform="scale(0.7)"
|
||||
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
|
||||
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
|
||||
id="arrow2L-6" />
|
||||
</marker>
|
||||
<marker
|
||||
style="overflow:visible"
|
||||
id="Arrow2-9-7-2"
|
||||
refX="0"
|
||||
refY="0"
|
||||
orient="auto-start-reverse"
|
||||
inkscape:stockid="Arrow2"
|
||||
markerWidth="7.6999998"
|
||||
markerHeight="5.5999999"
|
||||
viewBox="0 0 7.7 5.6"
|
||||
inkscape:isstock="true"
|
||||
inkscape:collect="always"
|
||||
preserveAspectRatio="xMidYMid">
|
||||
<path
|
||||
transform="scale(0.7)"
|
||||
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
|
||||
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
|
||||
id="arrow2L-1-0-6" />
|
||||
</marker>
|
||||
<marker
|
||||
style="overflow:visible"
|
||||
id="Arrow2-93-1"
|
||||
refX="0"
|
||||
refY="0"
|
||||
orient="auto-start-reverse"
|
||||
inkscape:stockid="Arrow2"
|
||||
markerWidth="7.6999998"
|
||||
markerHeight="5.5999999"
|
||||
viewBox="0 0 7.7 5.6"
|
||||
inkscape:isstock="true"
|
||||
inkscape:collect="always"
|
||||
preserveAspectRatio="xMidYMid">
|
||||
<path
|
||||
transform="scale(0.7)"
|
||||
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
|
||||
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
|
||||
id="arrow2L-6-8" />
|
||||
</marker>
|
||||
<marker
|
||||
style="overflow:visible"
|
||||
id="Arrow2-9-75"
|
||||
refX="0"
|
||||
refY="0"
|
||||
orient="auto-start-reverse"
|
||||
inkscape:stockid="Arrow2"
|
||||
markerWidth="7.6999998"
|
||||
markerHeight="5.5999999"
|
||||
viewBox="0 0 7.7 5.6"
|
||||
inkscape:isstock="true"
|
||||
inkscape:collect="always"
|
||||
preserveAspectRatio="xMidYMid">
|
||||
<path
|
||||
transform="scale(0.7)"
|
||||
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
|
||||
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
|
||||
id="arrow2L-1-9" />
|
||||
</marker>
|
||||
<marker
|
||||
style="overflow:visible"
|
||||
id="Arrow2-9-75-2"
|
||||
refX="0"
|
||||
refY="0"
|
||||
orient="auto-start-reverse"
|
||||
inkscape:stockid="Arrow2"
|
||||
markerWidth="7.6999998"
|
||||
markerHeight="5.5999999"
|
||||
viewBox="0 0 7.7 5.6"
|
||||
inkscape:isstock="true"
|
||||
inkscape:collect="always"
|
||||
preserveAspectRatio="xMidYMid">
|
||||
<path
|
||||
transform="scale(0.7)"
|
||||
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
|
||||
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
|
||||
id="arrow2L-1-9-8" />
|
||||
</marker>
|
||||
<marker
|
||||
style="overflow:visible"
|
||||
id="Arrow2-9-75-7"
|
||||
refX="0"
|
||||
refY="0"
|
||||
orient="auto-start-reverse"
|
||||
inkscape:stockid="Arrow2"
|
||||
markerWidth="7.6999998"
|
||||
markerHeight="5.5999999"
|
||||
viewBox="0 0 7.7 5.6"
|
||||
inkscape:isstock="true"
|
||||
inkscape:collect="always"
|
||||
preserveAspectRatio="xMidYMid">
|
||||
<path
|
||||
transform="scale(0.7)"
|
||||
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
|
||||
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
|
||||
id="arrow2L-1-9-3" />
|
||||
</marker>
|
||||
<marker
|
||||
style="overflow:visible"
|
||||
id="Arrow2-9-75-7-1"
|
||||
refX="0"
|
||||
refY="0"
|
||||
orient="auto-start-reverse"
|
||||
inkscape:stockid="Arrow2"
|
||||
markerWidth="7.6999998"
|
||||
markerHeight="5.5999999"
|
||||
viewBox="0 0 7.7 5.6"
|
||||
inkscape:isstock="true"
|
||||
inkscape:collect="always"
|
||||
preserveAspectRatio="xMidYMid">
|
||||
<path
|
||||
transform="scale(0.7)"
|
||||
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
|
||||
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
|
||||
id="arrow2L-1-9-3-2" />
|
||||
</marker>
|
||||
<marker
|
||||
style="overflow:visible"
|
||||
id="Arrow2-93-1-4"
|
||||
refX="0"
|
||||
refY="0"
|
||||
orient="auto-start-reverse"
|
||||
inkscape:stockid="Arrow2"
|
||||
markerWidth="7.6999998"
|
||||
markerHeight="5.5999999"
|
||||
viewBox="0 0 7.7 5.6"
|
||||
inkscape:isstock="true"
|
||||
inkscape:collect="always"
|
||||
preserveAspectRatio="xMidYMid">
|
||||
<path
|
||||
transform="scale(0.7)"
|
||||
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
|
||||
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
|
||||
id="arrow2L-6-8-7" />
|
||||
</marker>
|
||||
<marker
|
||||
style="overflow:visible"
|
||||
id="Arrow2-9-7-2-8"
|
||||
refX="0"
|
||||
refY="0"
|
||||
orient="auto-start-reverse"
|
||||
inkscape:stockid="Arrow2"
|
||||
markerWidth="7.6999998"
|
||||
markerHeight="5.5999999"
|
||||
viewBox="0 0 7.7 5.6"
|
||||
inkscape:isstock="true"
|
||||
inkscape:collect="always"
|
||||
preserveAspectRatio="xMidYMid">
|
||||
<path
|
||||
transform="scale(0.7)"
|
||||
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
|
||||
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
|
||||
id="arrow2L-1-0-6-4" />
|
||||
</marker>
|
||||
</defs>
|
||||
<g
|
||||
inkscape:label="Layer 1"
|
||||
inkscape:groupmode="layer"
|
||||
id="layer1"
|
||||
sodipodi:insensitive="true">
|
||||
<rect
|
||||
style="fill:#ffffff;stroke:none;stroke-width: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>
|
||||
</g>
|
||||
</svg>
|
||||
|
After Width: | Height: | Size: 22 KiB |
654
doc/talks/2023-01-18-tocatta/assets/latticeB_7.svg
Normal file
654
doc/talks/2023-01-18-tocatta/assets/latticeB_7.svg
Normal file
|
|
@ -0,0 +1,654 @@
|
|||
<?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_7.svg"
|
||||
xmlns:inkscape="http://www.inkscape.org/namespaces/inkscape"
|
||||
xmlns:sodipodi="http://sodipodi.sourceforge.net/DTD/sodipodi-0.dtd"
|
||||
xmlns="http://www.w3.org/2000/svg"
|
||||
xmlns:svg="http://www.w3.org/2000/svg">
|
||||
<sodipodi:namedview
|
||||
id="namedview7"
|
||||
pagecolor="#ffffff"
|
||||
bordercolor="#666666"
|
||||
borderopacity="1.0"
|
||||
inkscape:showpageshadow="2"
|
||||
inkscape:pageopacity="0.0"
|
||||
inkscape:pagecheckerboard="0"
|
||||
inkscape:deskcolor="#d1d1d1"
|
||||
inkscape:document-units="mm"
|
||||
showgrid="false"
|
||||
inkscape:zoom="1.4734708"
|
||||
inkscape:cx="553.45515"
|
||||
inkscape:cy="346.80022"
|
||||
inkscape:window-width="1920"
|
||||
inkscape:window-height="999"
|
||||
inkscape:window-x="0"
|
||||
inkscape:window-y="0"
|
||||
inkscape:window-maximized="1"
|
||||
inkscape:current-layer="layer2" />
|
||||
<defs
|
||||
id="defs2">
|
||||
<marker
|
||||
style="overflow:visible"
|
||||
id="Arrow2"
|
||||
refX="0"
|
||||
refY="0"
|
||||
orient="auto-start-reverse"
|
||||
inkscape:stockid="Arrow2"
|
||||
markerWidth="7.6999998"
|
||||
markerHeight="5.5999999"
|
||||
viewBox="0 0 7.7 5.6"
|
||||
inkscape:isstock="true"
|
||||
inkscape:collect="always"
|
||||
preserveAspectRatio="xMidYMid">
|
||||
<path
|
||||
transform="scale(0.7)"
|
||||
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
|
||||
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
|
||||
id="arrow2L" />
|
||||
</marker>
|
||||
<marker
|
||||
style="overflow:visible"
|
||||
id="Arrow2-9"
|
||||
refX="0"
|
||||
refY="0"
|
||||
orient="auto-start-reverse"
|
||||
inkscape:stockid="Arrow2"
|
||||
markerWidth="7.6999998"
|
||||
markerHeight="5.5999999"
|
||||
viewBox="0 0 7.7 5.6"
|
||||
inkscape:isstock="true"
|
||||
inkscape:collect="always"
|
||||
preserveAspectRatio="xMidYMid">
|
||||
<path
|
||||
transform="scale(0.7)"
|
||||
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
|
||||
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
|
||||
id="arrow2L-1" />
|
||||
</marker>
|
||||
<marker
|
||||
style="overflow:visible"
|
||||
id="Arrow2-9-7"
|
||||
refX="0"
|
||||
refY="0"
|
||||
orient="auto-start-reverse"
|
||||
inkscape:stockid="Arrow2"
|
||||
markerWidth="7.6999998"
|
||||
markerHeight="5.5999999"
|
||||
viewBox="0 0 7.7 5.6"
|
||||
inkscape:isstock="true"
|
||||
inkscape:collect="always"
|
||||
preserveAspectRatio="xMidYMid">
|
||||
<path
|
||||
transform="scale(0.7)"
|
||||
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
|
||||
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
|
||||
id="arrow2L-1-0" />
|
||||
</marker>
|
||||
<marker
|
||||
style="overflow:visible"
|
||||
id="Arrow2-93"
|
||||
refX="0"
|
||||
refY="0"
|
||||
orient="auto-start-reverse"
|
||||
inkscape:stockid="Arrow2"
|
||||
markerWidth="7.6999998"
|
||||
markerHeight="5.5999999"
|
||||
viewBox="0 0 7.7 5.6"
|
||||
inkscape:isstock="true"
|
||||
inkscape:collect="always"
|
||||
preserveAspectRatio="xMidYMid">
|
||||
<path
|
||||
transform="scale(0.7)"
|
||||
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
|
||||
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
|
||||
id="arrow2L-6" />
|
||||
</marker>
|
||||
<marker
|
||||
style="overflow:visible"
|
||||
id="Arrow2-9-7-2"
|
||||
refX="0"
|
||||
refY="0"
|
||||
orient="auto-start-reverse"
|
||||
inkscape:stockid="Arrow2"
|
||||
markerWidth="7.6999998"
|
||||
markerHeight="5.5999999"
|
||||
viewBox="0 0 7.7 5.6"
|
||||
inkscape:isstock="true"
|
||||
inkscape:collect="always"
|
||||
preserveAspectRatio="xMidYMid">
|
||||
<path
|
||||
transform="scale(0.7)"
|
||||
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
|
||||
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
|
||||
id="arrow2L-1-0-6" />
|
||||
</marker>
|
||||
<marker
|
||||
style="overflow:visible"
|
||||
id="Arrow2-93-1"
|
||||
refX="0"
|
||||
refY="0"
|
||||
orient="auto-start-reverse"
|
||||
inkscape:stockid="Arrow2"
|
||||
markerWidth="7.6999998"
|
||||
markerHeight="5.5999999"
|
||||
viewBox="0 0 7.7 5.6"
|
||||
inkscape:isstock="true"
|
||||
inkscape:collect="always"
|
||||
preserveAspectRatio="xMidYMid">
|
||||
<path
|
||||
transform="scale(0.7)"
|
||||
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
|
||||
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
|
||||
id="arrow2L-6-8" />
|
||||
</marker>
|
||||
<marker
|
||||
style="overflow:visible"
|
||||
id="Arrow2-9-75"
|
||||
refX="0"
|
||||
refY="0"
|
||||
orient="auto-start-reverse"
|
||||
inkscape:stockid="Arrow2"
|
||||
markerWidth="7.6999998"
|
||||
markerHeight="5.5999999"
|
||||
viewBox="0 0 7.7 5.6"
|
||||
inkscape:isstock="true"
|
||||
inkscape:collect="always"
|
||||
preserveAspectRatio="xMidYMid">
|
||||
<path
|
||||
transform="scale(0.7)"
|
||||
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
|
||||
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
|
||||
id="arrow2L-1-9" />
|
||||
</marker>
|
||||
<marker
|
||||
style="overflow:visible"
|
||||
id="Arrow2-9-75-2"
|
||||
refX="0"
|
||||
refY="0"
|
||||
orient="auto-start-reverse"
|
||||
inkscape:stockid="Arrow2"
|
||||
markerWidth="7.6999998"
|
||||
markerHeight="5.5999999"
|
||||
viewBox="0 0 7.7 5.6"
|
||||
inkscape:isstock="true"
|
||||
inkscape:collect="always"
|
||||
preserveAspectRatio="xMidYMid">
|
||||
<path
|
||||
transform="scale(0.7)"
|
||||
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
|
||||
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
|
||||
id="arrow2L-1-9-8" />
|
||||
</marker>
|
||||
<marker
|
||||
style="overflow:visible"
|
||||
id="Arrow2-9-75-7"
|
||||
refX="0"
|
||||
refY="0"
|
||||
orient="auto-start-reverse"
|
||||
inkscape:stockid="Arrow2"
|
||||
markerWidth="7.6999998"
|
||||
markerHeight="5.5999999"
|
||||
viewBox="0 0 7.7 5.6"
|
||||
inkscape:isstock="true"
|
||||
inkscape:collect="always"
|
||||
preserveAspectRatio="xMidYMid">
|
||||
<path
|
||||
transform="scale(0.7)"
|
||||
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
|
||||
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
|
||||
id="arrow2L-1-9-3" />
|
||||
</marker>
|
||||
<marker
|
||||
style="overflow:visible"
|
||||
id="Arrow2-9-75-7-1"
|
||||
refX="0"
|
||||
refY="0"
|
||||
orient="auto-start-reverse"
|
||||
inkscape:stockid="Arrow2"
|
||||
markerWidth="7.6999998"
|
||||
markerHeight="5.5999999"
|
||||
viewBox="0 0 7.7 5.6"
|
||||
inkscape:isstock="true"
|
||||
inkscape:collect="always"
|
||||
preserveAspectRatio="xMidYMid">
|
||||
<path
|
||||
transform="scale(0.7)"
|
||||
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
|
||||
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
|
||||
id="arrow2L-1-9-3-2" />
|
||||
</marker>
|
||||
<marker
|
||||
style="overflow:visible"
|
||||
id="Arrow2-93-1-4"
|
||||
refX="0"
|
||||
refY="0"
|
||||
orient="auto-start-reverse"
|
||||
inkscape:stockid="Arrow2"
|
||||
markerWidth="7.6999998"
|
||||
markerHeight="5.5999999"
|
||||
viewBox="0 0 7.7 5.6"
|
||||
inkscape:isstock="true"
|
||||
inkscape:collect="always"
|
||||
preserveAspectRatio="xMidYMid">
|
||||
<path
|
||||
transform="scale(0.7)"
|
||||
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
|
||||
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
|
||||
id="arrow2L-6-8-7" />
|
||||
</marker>
|
||||
<marker
|
||||
style="overflow:visible"
|
||||
id="Arrow2-9-7-2-8"
|
||||
refX="0"
|
||||
refY="0"
|
||||
orient="auto-start-reverse"
|
||||
inkscape:stockid="Arrow2"
|
||||
markerWidth="7.6999998"
|
||||
markerHeight="5.5999999"
|
||||
viewBox="0 0 7.7 5.6"
|
||||
inkscape:isstock="true"
|
||||
inkscape:collect="always"
|
||||
preserveAspectRatio="xMidYMid">
|
||||
<path
|
||||
transform="scale(0.7)"
|
||||
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
|
||||
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
|
||||
id="arrow2L-1-0-6-4" />
|
||||
</marker>
|
||||
</defs>
|
||||
<g
|
||||
inkscape:label="Layer 1"
|
||||
inkscape:groupmode="layer"
|
||||
id="layer1"
|
||||
sodipodi:insensitive="true">
|
||||
<rect
|
||||
style="fill:#ffffff;stroke:none;stroke-width: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>
|
||||
<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>
|
||||
|
After Width: | Height: | Size: 23 KiB |
671
doc/talks/2023-01-18-tocatta/assets/latticeB_8.svg
Normal file
671
doc/talks/2023-01-18-tocatta/assets/latticeB_8.svg
Normal file
|
|
@ -0,0 +1,671 @@
|
|||
<?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_8.svg"
|
||||
xmlns:inkscape="http://www.inkscape.org/namespaces/inkscape"
|
||||
xmlns:sodipodi="http://sodipodi.sourceforge.net/DTD/sodipodi-0.dtd"
|
||||
xmlns="http://www.w3.org/2000/svg"
|
||||
xmlns:svg="http://www.w3.org/2000/svg">
|
||||
<sodipodi:namedview
|
||||
id="namedview7"
|
||||
pagecolor="#ffffff"
|
||||
bordercolor="#666666"
|
||||
borderopacity="1.0"
|
||||
inkscape:showpageshadow="2"
|
||||
inkscape:pageopacity="0.0"
|
||||
inkscape:pagecheckerboard="0"
|
||||
inkscape:deskcolor="#d1d1d1"
|
||||
inkscape:document-units="mm"
|
||||
showgrid="false"
|
||||
inkscape:zoom="1.4734708"
|
||||
inkscape:cx="448.94001"
|
||||
inkscape:cy="322.36811"
|
||||
inkscape:window-width="1920"
|
||||
inkscape:window-height="999"
|
||||
inkscape:window-x="0"
|
||||
inkscape:window-y="0"
|
||||
inkscape:window-maximized="1"
|
||||
inkscape:current-layer="layer2" />
|
||||
<defs
|
||||
id="defs2">
|
||||
<marker
|
||||
style="overflow:visible"
|
||||
id="Arrow2"
|
||||
refX="0"
|
||||
refY="0"
|
||||
orient="auto-start-reverse"
|
||||
inkscape:stockid="Arrow2"
|
||||
markerWidth="7.6999998"
|
||||
markerHeight="5.5999999"
|
||||
viewBox="0 0 7.7 5.6"
|
||||
inkscape:isstock="true"
|
||||
inkscape:collect="always"
|
||||
preserveAspectRatio="xMidYMid">
|
||||
<path
|
||||
transform="scale(0.7)"
|
||||
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
|
||||
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
|
||||
id="arrow2L" />
|
||||
</marker>
|
||||
<marker
|
||||
style="overflow:visible"
|
||||
id="Arrow2-9"
|
||||
refX="0"
|
||||
refY="0"
|
||||
orient="auto-start-reverse"
|
||||
inkscape:stockid="Arrow2"
|
||||
markerWidth="7.6999998"
|
||||
markerHeight="5.5999999"
|
||||
viewBox="0 0 7.7 5.6"
|
||||
inkscape:isstock="true"
|
||||
inkscape:collect="always"
|
||||
preserveAspectRatio="xMidYMid">
|
||||
<path
|
||||
transform="scale(0.7)"
|
||||
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
|
||||
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
|
||||
id="arrow2L-1" />
|
||||
</marker>
|
||||
<marker
|
||||
style="overflow:visible"
|
||||
id="Arrow2-9-7"
|
||||
refX="0"
|
||||
refY="0"
|
||||
orient="auto-start-reverse"
|
||||
inkscape:stockid="Arrow2"
|
||||
markerWidth="7.6999998"
|
||||
markerHeight="5.5999999"
|
||||
viewBox="0 0 7.7 5.6"
|
||||
inkscape:isstock="true"
|
||||
inkscape:collect="always"
|
||||
preserveAspectRatio="xMidYMid">
|
||||
<path
|
||||
transform="scale(0.7)"
|
||||
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
|
||||
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
|
||||
id="arrow2L-1-0" />
|
||||
</marker>
|
||||
<marker
|
||||
style="overflow:visible"
|
||||
id="Arrow2-93"
|
||||
refX="0"
|
||||
refY="0"
|
||||
orient="auto-start-reverse"
|
||||
inkscape:stockid="Arrow2"
|
||||
markerWidth="7.6999998"
|
||||
markerHeight="5.5999999"
|
||||
viewBox="0 0 7.7 5.6"
|
||||
inkscape:isstock="true"
|
||||
inkscape:collect="always"
|
||||
preserveAspectRatio="xMidYMid">
|
||||
<path
|
||||
transform="scale(0.7)"
|
||||
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
|
||||
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
|
||||
id="arrow2L-6" />
|
||||
</marker>
|
||||
<marker
|
||||
style="overflow:visible"
|
||||
id="Arrow2-9-7-2"
|
||||
refX="0"
|
||||
refY="0"
|
||||
orient="auto-start-reverse"
|
||||
inkscape:stockid="Arrow2"
|
||||
markerWidth="7.6999998"
|
||||
markerHeight="5.5999999"
|
||||
viewBox="0 0 7.7 5.6"
|
||||
inkscape:isstock="true"
|
||||
inkscape:collect="always"
|
||||
preserveAspectRatio="xMidYMid">
|
||||
<path
|
||||
transform="scale(0.7)"
|
||||
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
|
||||
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
|
||||
id="arrow2L-1-0-6" />
|
||||
</marker>
|
||||
<marker
|
||||
style="overflow:visible"
|
||||
id="Arrow2-93-1"
|
||||
refX="0"
|
||||
refY="0"
|
||||
orient="auto-start-reverse"
|
||||
inkscape:stockid="Arrow2"
|
||||
markerWidth="7.6999998"
|
||||
markerHeight="5.5999999"
|
||||
viewBox="0 0 7.7 5.6"
|
||||
inkscape:isstock="true"
|
||||
inkscape:collect="always"
|
||||
preserveAspectRatio="xMidYMid">
|
||||
<path
|
||||
transform="scale(0.7)"
|
||||
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
|
||||
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
|
||||
id="arrow2L-6-8" />
|
||||
</marker>
|
||||
<marker
|
||||
style="overflow:visible"
|
||||
id="Arrow2-9-75"
|
||||
refX="0"
|
||||
refY="0"
|
||||
orient="auto-start-reverse"
|
||||
inkscape:stockid="Arrow2"
|
||||
markerWidth="7.6999998"
|
||||
markerHeight="5.5999999"
|
||||
viewBox="0 0 7.7 5.6"
|
||||
inkscape:isstock="true"
|
||||
inkscape:collect="always"
|
||||
preserveAspectRatio="xMidYMid">
|
||||
<path
|
||||
transform="scale(0.7)"
|
||||
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
|
||||
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
|
||||
id="arrow2L-1-9" />
|
||||
</marker>
|
||||
<marker
|
||||
style="overflow:visible"
|
||||
id="Arrow2-9-75-2"
|
||||
refX="0"
|
||||
refY="0"
|
||||
orient="auto-start-reverse"
|
||||
inkscape:stockid="Arrow2"
|
||||
markerWidth="7.6999998"
|
||||
markerHeight="5.5999999"
|
||||
viewBox="0 0 7.7 5.6"
|
||||
inkscape:isstock="true"
|
||||
inkscape:collect="always"
|
||||
preserveAspectRatio="xMidYMid">
|
||||
<path
|
||||
transform="scale(0.7)"
|
||||
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
|
||||
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
|
||||
id="arrow2L-1-9-8" />
|
||||
</marker>
|
||||
<marker
|
||||
style="overflow:visible"
|
||||
id="Arrow2-9-75-7"
|
||||
refX="0"
|
||||
refY="0"
|
||||
orient="auto-start-reverse"
|
||||
inkscape:stockid="Arrow2"
|
||||
markerWidth="7.6999998"
|
||||
markerHeight="5.5999999"
|
||||
viewBox="0 0 7.7 5.6"
|
||||
inkscape:isstock="true"
|
||||
inkscape:collect="always"
|
||||
preserveAspectRatio="xMidYMid">
|
||||
<path
|
||||
transform="scale(0.7)"
|
||||
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
|
||||
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
|
||||
id="arrow2L-1-9-3" />
|
||||
</marker>
|
||||
<marker
|
||||
style="overflow:visible"
|
||||
id="Arrow2-9-75-7-1"
|
||||
refX="0"
|
||||
refY="0"
|
||||
orient="auto-start-reverse"
|
||||
inkscape:stockid="Arrow2"
|
||||
markerWidth="7.6999998"
|
||||
markerHeight="5.5999999"
|
||||
viewBox="0 0 7.7 5.6"
|
||||
inkscape:isstock="true"
|
||||
inkscape:collect="always"
|
||||
preserveAspectRatio="xMidYMid">
|
||||
<path
|
||||
transform="scale(0.7)"
|
||||
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
|
||||
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
|
||||
id="arrow2L-1-9-3-2" />
|
||||
</marker>
|
||||
<marker
|
||||
style="overflow:visible"
|
||||
id="Arrow2-93-1-4"
|
||||
refX="0"
|
||||
refY="0"
|
||||
orient="auto-start-reverse"
|
||||
inkscape:stockid="Arrow2"
|
||||
markerWidth="7.6999998"
|
||||
markerHeight="5.5999999"
|
||||
viewBox="0 0 7.7 5.6"
|
||||
inkscape:isstock="true"
|
||||
inkscape:collect="always"
|
||||
preserveAspectRatio="xMidYMid">
|
||||
<path
|
||||
transform="scale(0.7)"
|
||||
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
|
||||
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
|
||||
id="arrow2L-6-8-7" />
|
||||
</marker>
|
||||
<marker
|
||||
style="overflow:visible"
|
||||
id="Arrow2-9-7-2-8"
|
||||
refX="0"
|
||||
refY="0"
|
||||
orient="auto-start-reverse"
|
||||
inkscape:stockid="Arrow2"
|
||||
markerWidth="7.6999998"
|
||||
markerHeight="5.5999999"
|
||||
viewBox="0 0 7.7 5.6"
|
||||
inkscape:isstock="true"
|
||||
inkscape:collect="always"
|
||||
preserveAspectRatio="xMidYMid">
|
||||
<path
|
||||
transform="scale(0.7)"
|
||||
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
|
||||
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
|
||||
id="arrow2L-1-0-6-4" />
|
||||
</marker>
|
||||
</defs>
|
||||
<g
|
||||
inkscape:label="Layer 1"
|
||||
inkscape:groupmode="layer"
|
||||
id="layer1"
|
||||
sodipodi:insensitive="true">
|
||||
<rect
|
||||
style="fill:#ffffff;stroke:none;stroke-width: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>
|
||||
|
After Width: | Height: | Size: 24 KiB |
699
doc/talks/2023-01-18-tocatta/assets/latticeB_9.svg
Normal file
699
doc/talks/2023-01-18-tocatta/assets/latticeB_9.svg
Normal file
|
|
@ -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"
|
||||
bordercolor="#666666"
|
||||
borderopacity="1.0"
|
||||
inkscape:showpageshadow="2"
|
||||
inkscape:pageopacity="0.0"
|
||||
inkscape:pagecheckerboard="0"
|
||||
inkscape:deskcolor="#d1d1d1"
|
||||
inkscape:document-units="mm"
|
||||
showgrid="false"
|
||||
inkscape:zoom="1.0419012"
|
||||
inkscape:cx="664.65036"
|
||||
inkscape:cy="366.63745"
|
||||
inkscape:window-width="1920"
|
||||
inkscape:window-height="999"
|
||||
inkscape:window-x="0"
|
||||
inkscape:window-y="0"
|
||||
inkscape:window-maximized="1"
|
||||
inkscape:current-layer="layer2" />
|
||||
<defs
|
||||
id="defs2">
|
||||
<marker
|
||||
style="overflow:visible"
|
||||
id="Arrow2"
|
||||
refX="0"
|
||||
refY="0"
|
||||
orient="auto-start-reverse"
|
||||
inkscape:stockid="Arrow2"
|
||||
markerWidth="7.6999998"
|
||||
markerHeight="5.5999999"
|
||||
viewBox="0 0 7.7 5.6"
|
||||
inkscape:isstock="true"
|
||||
inkscape:collect="always"
|
||||
preserveAspectRatio="xMidYMid">
|
||||
<path
|
||||
transform="scale(0.7)"
|
||||
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
|
||||
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
|
||||
id="arrow2L" />
|
||||
</marker>
|
||||
<marker
|
||||
style="overflow:visible"
|
||||
id="Arrow2-9"
|
||||
refX="0"
|
||||
refY="0"
|
||||
orient="auto-start-reverse"
|
||||
inkscape:stockid="Arrow2"
|
||||
markerWidth="7.6999998"
|
||||
markerHeight="5.5999999"
|
||||
viewBox="0 0 7.7 5.6"
|
||||
inkscape:isstock="true"
|
||||
inkscape:collect="always"
|
||||
preserveAspectRatio="xMidYMid">
|
||||
<path
|
||||
transform="scale(0.7)"
|
||||
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
|
||||
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
|
||||
id="arrow2L-1" />
|
||||
</marker>
|
||||
<marker
|
||||
style="overflow:visible"
|
||||
id="Arrow2-9-7"
|
||||
refX="0"
|
||||
refY="0"
|
||||
orient="auto-start-reverse"
|
||||
inkscape:stockid="Arrow2"
|
||||
markerWidth="7.6999998"
|
||||
markerHeight="5.5999999"
|
||||
viewBox="0 0 7.7 5.6"
|
||||
inkscape:isstock="true"
|
||||
inkscape:collect="always"
|
||||
preserveAspectRatio="xMidYMid">
|
||||
<path
|
||||
transform="scale(0.7)"
|
||||
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
|
||||
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
|
||||
id="arrow2L-1-0" />
|
||||
</marker>
|
||||
<marker
|
||||
style="overflow:visible"
|
||||
id="Arrow2-93"
|
||||
refX="0"
|
||||
refY="0"
|
||||
orient="auto-start-reverse"
|
||||
inkscape:stockid="Arrow2"
|
||||
markerWidth="7.6999998"
|
||||
markerHeight="5.5999999"
|
||||
viewBox="0 0 7.7 5.6"
|
||||
inkscape:isstock="true"
|
||||
inkscape:collect="always"
|
||||
preserveAspectRatio="xMidYMid">
|
||||
<path
|
||||
transform="scale(0.7)"
|
||||
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
|
||||
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
|
||||
id="arrow2L-6" />
|
||||
</marker>
|
||||
<marker
|
||||
style="overflow:visible"
|
||||
id="Arrow2-9-7-2"
|
||||
refX="0"
|
||||
refY="0"
|
||||
orient="auto-start-reverse"
|
||||
inkscape:stockid="Arrow2"
|
||||
markerWidth="7.6999998"
|
||||
markerHeight="5.5999999"
|
||||
viewBox="0 0 7.7 5.6"
|
||||
inkscape:isstock="true"
|
||||
inkscape:collect="always"
|
||||
preserveAspectRatio="xMidYMid">
|
||||
<path
|
||||
transform="scale(0.7)"
|
||||
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
|
||||
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
|
||||
id="arrow2L-1-0-6" />
|
||||
</marker>
|
||||
<marker
|
||||
style="overflow:visible"
|
||||
id="Arrow2-93-1"
|
||||
refX="0"
|
||||
refY="0"
|
||||
orient="auto-start-reverse"
|
||||
inkscape:stockid="Arrow2"
|
||||
markerWidth="7.6999998"
|
||||
markerHeight="5.5999999"
|
||||
viewBox="0 0 7.7 5.6"
|
||||
inkscape:isstock="true"
|
||||
inkscape:collect="always"
|
||||
preserveAspectRatio="xMidYMid">
|
||||
<path
|
||||
transform="scale(0.7)"
|
||||
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
|
||||
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
|
||||
id="arrow2L-6-8" />
|
||||
</marker>
|
||||
<marker
|
||||
style="overflow:visible"
|
||||
id="Arrow2-9-75"
|
||||
refX="0"
|
||||
refY="0"
|
||||
orient="auto-start-reverse"
|
||||
inkscape:stockid="Arrow2"
|
||||
markerWidth="7.6999998"
|
||||
markerHeight="5.5999999"
|
||||
viewBox="0 0 7.7 5.6"
|
||||
inkscape:isstock="true"
|
||||
inkscape:collect="always"
|
||||
preserveAspectRatio="xMidYMid">
|
||||
<path
|
||||
transform="scale(0.7)"
|
||||
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
|
||||
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
|
||||
id="arrow2L-1-9" />
|
||||
</marker>
|
||||
<marker
|
||||
style="overflow:visible"
|
||||
id="Arrow2-9-75-2"
|
||||
refX="0"
|
||||
refY="0"
|
||||
orient="auto-start-reverse"
|
||||
inkscape:stockid="Arrow2"
|
||||
markerWidth="7.6999998"
|
||||
markerHeight="5.5999999"
|
||||
viewBox="0 0 7.7 5.6"
|
||||
inkscape:isstock="true"
|
||||
inkscape:collect="always"
|
||||
preserveAspectRatio="xMidYMid">
|
||||
<path
|
||||
transform="scale(0.7)"
|
||||
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
|
||||
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
|
||||
id="arrow2L-1-9-8" />
|
||||
</marker>
|
||||
<marker
|
||||
style="overflow:visible"
|
||||
id="Arrow2-9-75-7"
|
||||
refX="0"
|
||||
refY="0"
|
||||
orient="auto-start-reverse"
|
||||
inkscape:stockid="Arrow2"
|
||||
markerWidth="7.6999998"
|
||||
markerHeight="5.5999999"
|
||||
viewBox="0 0 7.7 5.6"
|
||||
inkscape:isstock="true"
|
||||
inkscape:collect="always"
|
||||
preserveAspectRatio="xMidYMid">
|
||||
<path
|
||||
transform="scale(0.7)"
|
||||
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
|
||||
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
|
||||
id="arrow2L-1-9-3" />
|
||||
</marker>
|
||||
<marker
|
||||
style="overflow:visible"
|
||||
id="Arrow2-9-75-7-1"
|
||||
refX="0"
|
||||
refY="0"
|
||||
orient="auto-start-reverse"
|
||||
inkscape:stockid="Arrow2"
|
||||
markerWidth="7.6999998"
|
||||
markerHeight="5.5999999"
|
||||
viewBox="0 0 7.7 5.6"
|
||||
inkscape:isstock="true"
|
||||
inkscape:collect="always"
|
||||
preserveAspectRatio="xMidYMid">
|
||||
<path
|
||||
transform="scale(0.7)"
|
||||
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
|
||||
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
|
||||
id="arrow2L-1-9-3-2" />
|
||||
</marker>
|
||||
<marker
|
||||
style="overflow:visible"
|
||||
id="Arrow2-93-1-4"
|
||||
refX="0"
|
||||
refY="0"
|
||||
orient="auto-start-reverse"
|
||||
inkscape:stockid="Arrow2"
|
||||
markerWidth="7.6999998"
|
||||
markerHeight="5.5999999"
|
||||
viewBox="0 0 7.7 5.6"
|
||||
inkscape:isstock="true"
|
||||
inkscape:collect="always"
|
||||
preserveAspectRatio="xMidYMid">
|
||||
<path
|
||||
transform="scale(0.7)"
|
||||
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
|
||||
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
|
||||
id="arrow2L-6-8-7" />
|
||||
</marker>
|
||||
<marker
|
||||
style="overflow:visible"
|
||||
id="Arrow2-9-7-2-8"
|
||||
refX="0"
|
||||
refY="0"
|
||||
orient="auto-start-reverse"
|
||||
inkscape:stockid="Arrow2"
|
||||
markerWidth="7.6999998"
|
||||
markerHeight="5.5999999"
|
||||
viewBox="0 0 7.7 5.6"
|
||||
inkscape:isstock="true"
|
||||
inkscape:collect="always"
|
||||
preserveAspectRatio="xMidYMid">
|
||||
<path
|
||||
transform="scale(0.7)"
|
||||
d="M -2,-4 9,0 -2,4 c 2,-2.33 2,-5.66 0,-8 z"
|
||||
style="fill:context-stroke;fill-rule:evenodd;stroke:none"
|
||||
id="arrow2L-1-0-6-4" />
|
||||
</marker>
|
||||
</defs>
|
||||
<g
|
||||
inkscape:label="Layer 1"
|
||||
inkscape:groupmode="layer"
|
||||
id="layer1"
|
||||
sodipodi:insensitive="true">
|
||||
<rect
|
||||
style="fill:#ffffff;stroke:none;stroke-width: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>
|
||||
<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>
|
||||
</g>
|
||||
</svg>
|
||||
|
After Width: | Height: | Size: 25 KiB |
BIN
doc/talks/2023-01-18-tocatta/assets/location-aware.png
Normal file
BIN
doc/talks/2023-01-18-tocatta/assets/location-aware.png
Normal file
Binary file not shown.
|
After Width: | Height: | Size: 97 KiB |
BIN
doc/talks/2023-01-18-tocatta/assets/logo_chatons.png
Normal file
BIN
doc/talks/2023-01-18-tocatta/assets/logo_chatons.png
Normal file
Binary file not shown.
|
After Width: | Height: | Size: 199 KiB |
BIN
doc/talks/2023-01-18-tocatta/assets/map.png
Normal file
BIN
doc/talks/2023-01-18-tocatta/assets/map.png
Normal file
Binary file not shown.
|
After Width: | Height: | Size: 145 KiB |
BIN
doc/talks/2023-01-18-tocatta/assets/minio.png
Normal file
BIN
doc/talks/2023-01-18-tocatta/assets/minio.png
Normal file
Binary file not shown.
|
After Width: | Height: | Size: 13 KiB |
BIN
doc/talks/2023-01-18-tocatta/assets/neptune.jpg
Normal file
BIN
doc/talks/2023-01-18-tocatta/assets/neptune.jpg
Normal file
Binary file not shown.
|
After Width: | Height: | Size: 174 KiB |
BIN
doc/talks/2023-01-18-tocatta/assets/quentin.jpg
Normal file
BIN
doc/talks/2023-01-18-tocatta/assets/quentin.jpg
Normal file
Binary file not shown.
|
After Width: | Height: | Size: 38 KiB |
BIN
doc/talks/2023-01-18-tocatta/assets/rust_logo.png
Normal file
BIN
doc/talks/2023-01-18-tocatta/assets/rust_logo.png
Normal file
Binary file not shown.
|
After Width: | Height: | Size: 14 KiB |
BIN
doc/talks/2023-01-18-tocatta/assets/slide1.png
Normal file
BIN
doc/talks/2023-01-18-tocatta/assets/slide1.png
Normal file
Binary file not shown.
|
After Width: | Height: | Size: 87 KiB |
BIN
doc/talks/2023-01-18-tocatta/assets/slide2.png
Normal file
BIN
doc/talks/2023-01-18-tocatta/assets/slide2.png
Normal file
Binary file not shown.
|
After Width: | Height: | Size: 81 KiB |
BIN
doc/talks/2023-01-18-tocatta/assets/slide3.png
Normal file
BIN
doc/talks/2023-01-18-tocatta/assets/slide3.png
Normal file
Binary file not shown.
|
After Width: | Height: | Size: 124 KiB |
BIN
doc/talks/2023-01-18-tocatta/assets/slideB1.png
Normal file
BIN
doc/talks/2023-01-18-tocatta/assets/slideB1.png
Normal file
Binary file not shown.
|
After Width: | Height: | Size: 84 KiB |
BIN
doc/talks/2023-01-18-tocatta/assets/slideB2.png
Normal file
BIN
doc/talks/2023-01-18-tocatta/assets/slideB2.png
Normal file
Binary file not shown.
|
After Width: | Height: | Size: 81 KiB |
BIN
doc/talks/2023-01-18-tocatta/assets/slideB3.png
Normal file
BIN
doc/talks/2023-01-18-tocatta/assets/slideB3.png
Normal file
Binary file not shown.
|
After Width: | Height: | Size: 81 KiB |
4326
doc/talks/2023-01-18-tocatta/assets/slides.svg
Normal file
4326
doc/talks/2023-01-18-tocatta/assets/slides.svg
Normal file
File diff suppressed because it is too large
Load diff
|
After Width: | Height: | Size: 315 KiB |
444
doc/talks/2023-01-18-tocatta/assets/slidesB.svg
Normal file
444
doc/talks/2023-01-18-tocatta/assets/slidesB.svg
Normal file
File diff suppressed because one or more lines are too long
|
After Width: | Height: | Size: 286 KiB |
BIN
doc/talks/2023-01-18-tocatta/talk.pdf
Normal file
BIN
doc/talks/2023-01-18-tocatta/talk.pdf
Normal file
Binary file not shown.
935
doc/talks/2023-01-18-tocatta/talk.tex
Normal file
935
doc/talks/2023-01-18-tocatta/talk.tex
Normal file
|
|
@ -0,0 +1,935 @@
|
|||
%\nonstopmode
|
||||
\documentclass[aspectratio=169]{beamer}
|
||||
\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 :
|
||||
12
doc/talks/shell.nix
Normal file
12
doc/talks/shell.nix
Normal file
|
|
@ -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 ]; }
|
||||
|
||||
12
flake.nix
12
flake.nix
|
|
@ -1,7 +1,9 @@
|
|||
{
|
||||
description = "Garage, an S3-compatible distributed object store for self-hosted deployments";
|
||||
description =
|
||||
"Garage, an S3-compatible distributed object store for self-hosted deployments";
|
||||
|
||||
inputs.nixpkgs.url = "github:NixOS/nixpkgs/a3073c49bc0163fea6a121c276f526837672b555";
|
||||
inputs.nixpkgs.url =
|
||||
"github:NixOS/nixpkgs/a3073c49bc0163fea6a121c276f526837672b555";
|
||||
inputs.cargo2nix = {
|
||||
# As of 2022-10-18: two small patches over unstable branch, one for clippy and one to fix feature detection
|
||||
url = "github:Alexis211/cargo2nix/a7a61179b66054904ef6a195d8da736eaaa06c36";
|
||||
|
|
@ -24,13 +26,11 @@
|
|||
release = true;
|
||||
}).workspace.garage { compileMode = "build"; };
|
||||
};
|
||||
devShell = ((compile {
|
||||
devShell = (compile {
|
||||
inherit system git_version;
|
||||
pkgsSrc = nixpkgs;
|
||||
cargo2nixOverlay = cargo2nix.overlays.default;
|
||||
release = false;
|
||||
}).workspaceShell {
|
||||
packages = [ pkgs.rustfmt cargo2nix.packages.${system}.default ];
|
||||
});
|
||||
}).workspaceShell { packages = [ pkgs.rustfmt ]; };
|
||||
});
|
||||
}
|
||||
|
|
|
|||
|
|
@ -1,10 +1,8 @@
|
|||
{
|
||||
path ? "/../aws-list.txt",
|
||||
}:
|
||||
{ path ? "/../aws-list.txt", }:
|
||||
|
||||
with import ./common.nix;
|
||||
let
|
||||
pkgs = import pkgsSrc {};
|
||||
let
|
||||
pkgs = import pkgsSrc { };
|
||||
lib = pkgs.lib;
|
||||
|
||||
/* Converts a key list and a value list to a set
|
||||
|
|
@ -13,139 +11,182 @@ let
|
|||
listToSet [ "name" "version" ] [ "latex" "3.14" ]
|
||||
=> { name = "latex"; version = "3.14"; }
|
||||
*/
|
||||
listToSet = keys: values:
|
||||
builtins.listToAttrs
|
||||
(lib.zipListsWith
|
||||
(a: b: { name = a; value = b; })
|
||||
keys
|
||||
values);
|
||||
listToSet = keys: values:
|
||||
builtins.listToAttrs (lib.zipListsWith (a: b: {
|
||||
name = a;
|
||||
value = b;
|
||||
}) keys values);
|
||||
|
||||
/* Says if datetime a is more recent than datetime b
|
||||
|
||||
Example:
|
||||
cmpDate { date = "2021-09-10"; time = "22:12:15"; } { date = "2021-02-03"; time = "23:54:12"; }
|
||||
=> true
|
||||
Example:
|
||||
cmpDate { date = "2021-09-10"; time = "22:12:15"; } { date = "2021-02-03"; time = "23:54:12"; }
|
||||
=> true
|
||||
*/
|
||||
cmpDate = a: b:
|
||||
let da = (builtins.head a.builds).date;
|
||||
db = (builtins.head b.builds).date;
|
||||
in
|
||||
if da == db then (builtins.head a.builds).time > (builtins.head b.builds).time
|
||||
else da > db;
|
||||
cmpDate = a: b:
|
||||
let
|
||||
da = (builtins.head a.builds).date;
|
||||
db = (builtins.head b.builds).date;
|
||||
in if da == db then
|
||||
(builtins.head a.builds).time > (builtins.head b.builds).time
|
||||
else
|
||||
da > db;
|
||||
|
||||
/* Pretty platforms */
|
||||
# Pretty platforms
|
||||
prettyPlatform = name:
|
||||
if name == "aarch64-unknown-linux-musl" then "linux/arm64"
|
||||
else if name == "armv6l-unknown-linux-musleabihf" then "linux/arm"
|
||||
else if name == "x86_64-unknown-linux-musl" then "linux/amd64"
|
||||
else if name == "i686-unknown-linux-musl" then "linux/386"
|
||||
else name;
|
||||
if name == "aarch64-unknown-linux-musl" then
|
||||
"linux/arm64"
|
||||
else if name == "armv6l-unknown-linux-musleabihf" then
|
||||
"linux/arm"
|
||||
else if name == "x86_64-unknown-linux-musl" then
|
||||
"linux/amd64"
|
||||
else if name == "i686-unknown-linux-musl" then
|
||||
"linux/386"
|
||||
else
|
||||
name;
|
||||
|
||||
/* Parsing */
|
||||
# Parsing
|
||||
list = builtins.readFile (./. + path);
|
||||
entries = lib.splitString "\n" list;
|
||||
|
||||
elems = builtins.filter
|
||||
(e: (builtins.length e) == 4)
|
||||
(map
|
||||
(x: builtins.filter (e: e != "") (lib.splitString " " x))
|
||||
entries);
|
||||
elems = builtins.filter (e: (builtins.length e) == 4)
|
||||
(map (x: builtins.filter (e: e != "") (lib.splitString " " x)) entries);
|
||||
|
||||
keys = ["date" "time" "size" "path"];
|
||||
keys = [ "date" "time" "size" "path" ];
|
||||
parsed = map (entry: listToSet keys entry) elems;
|
||||
|
||||
subkeys = ["root" "version" "platform" "binary" ];
|
||||
builds = map (entry: entry // listToSet subkeys (lib.splitString "/" entry.path) // { url = "https://garagehq.deuxfleurs.fr/" + entry.path; }) parsed;
|
||||
subkeys = [ "root" "version" "platform" "binary" ];
|
||||
builds = map (entry:
|
||||
entry // listToSet subkeys (lib.splitString "/" entry.path) // {
|
||||
url = "https://garagehq.deuxfleurs.fr/" + entry.path;
|
||||
}) parsed;
|
||||
|
||||
/* Aggregation */
|
||||
builds_per_version = lib.foldl (acc: v: acc // { ${v.version} = if builtins.hasAttr v.version acc then acc.${v.version} ++ [ v ] else [ v ]; }) {} builds;
|
||||
# Aggregation
|
||||
builds_per_version = lib.foldl (acc: v:
|
||||
acc // {
|
||||
${v.version} = if builtins.hasAttr v.version acc then
|
||||
acc.${v.version} ++ [ v ]
|
||||
else
|
||||
[ v ];
|
||||
}) { } builds;
|
||||
|
||||
versions = builtins.attrNames builds_per_version;
|
||||
versions_release = builtins.filter (x: builtins.match "v[0-9]+\.[0-9]+\.[0-9]+(\.[0-9]+)?" x != null) versions;
|
||||
versions_commit = builtins.filter (x: builtins.match "[0-9a-f]{40}" x != null) versions;
|
||||
versions_extra = lib.subtractLists (versions_release ++ versions_commit) versions;
|
||||
versions_release = builtins.filter
|
||||
(x: builtins.match "v[0-9]+.[0-9]+.[0-9]+(.[0-9]+)?" x != null) versions;
|
||||
versions_commit =
|
||||
builtins.filter (x: builtins.match "[0-9a-f]{40}" x != null) versions;
|
||||
versions_extra =
|
||||
lib.subtractLists (versions_release ++ versions_commit) versions;
|
||||
|
||||
sorted_builds = [
|
||||
{
|
||||
name = "Release";
|
||||
hide = false;
|
||||
type = "tag";
|
||||
description = "Release builds are the official builds, they are tailored for productions and are the most tested.";
|
||||
builds = builtins.sort (a: b: a.version > b.version) (map (x: { version = x; builds = builtins.getAttr x builds_per_version; }) versions_release);
|
||||
description =
|
||||
"Release builds are the official builds, they are tailored for productions and are the most tested.";
|
||||
builds = builtins.sort (a: b: a.version > b.version) (map (x: {
|
||||
version = x;
|
||||
builds = builtins.getAttr x builds_per_version;
|
||||
}) versions_release);
|
||||
}
|
||||
{
|
||||
name = "Extra";
|
||||
hide = true;
|
||||
type = "tag";
|
||||
description = "Extra builds are built on demand to test a specific feature or a specific need.";
|
||||
builds = builtins.sort cmpDate (map (x: { version = x; builds = builtins.getAttr x builds_per_version; }) versions_extra);
|
||||
description =
|
||||
"Extra builds are built on demand to test a specific feature or a specific need.";
|
||||
builds = builtins.sort cmpDate (map (x: {
|
||||
version = x;
|
||||
builds = builtins.getAttr x builds_per_version;
|
||||
}) versions_extra);
|
||||
}
|
||||
{
|
||||
name = "Development";
|
||||
hide = true;
|
||||
type = "commit";
|
||||
description = "Development builds are built periodically. Use them if you want to test a specific feature that is not yet released.";
|
||||
builds = builtins.sort cmpDate (map (x: { version = x; builds = builtins.getAttr x builds_per_version; }) versions_commit);
|
||||
description =
|
||||
"Development builds are built periodically. Use them if you want to test a specific feature that is not yet released.";
|
||||
builds = builtins.sort cmpDate (map (x: {
|
||||
version = x;
|
||||
builds = builtins.getAttr x builds_per_version;
|
||||
}) versions_commit);
|
||||
}
|
||||
];
|
||||
|
||||
json = pkgs.writeTextDir "share/_releases.json" (builtins.toJSON sorted_builds);
|
||||
json =
|
||||
pkgs.writeTextDir "share/_releases.json" (builtins.toJSON sorted_builds);
|
||||
html = pkgs.writeTextDir "share/_releases.html" ''
|
||||
<!doctype html>
|
||||
<html>
|
||||
<head>
|
||||
<meta charset="utf-8" />
|
||||
<title>Garage releases</title>
|
||||
<style>
|
||||
html, body { margin:0; padding: 0 }
|
||||
body { font-family: 'Helvetica', Sans; }
|
||||
section { margin: 1rem; }
|
||||
ul { padding:0; margin: 0.2rem }
|
||||
li {
|
||||
border-radius: 0.2rem;
|
||||
display: inline;
|
||||
border: 2px #0b5d83 solid;
|
||||
padding: 0.5rem;
|
||||
line-height: 3rem;
|
||||
color: #0b5d83;
|
||||
}
|
||||
li:hover { background-color: #0b5d83; color: #fff; }
|
||||
li a, li a:hover { color: inherit; text-decoration: none }
|
||||
</style>
|
||||
</head>
|
||||
<body>
|
||||
${ builtins.toString (lib.forEach sorted_builds (r: ''
|
||||
<section>
|
||||
<h2>${r.name} builds</h2>
|
||||
<!doctype html>
|
||||
<html>
|
||||
<head>
|
||||
<meta charset="utf-8" />
|
||||
<title>Garage releases</title>
|
||||
<style>
|
||||
html, body { margin:0; padding: 0 }
|
||||
body { font-family: 'Helvetica', Sans; }
|
||||
section { margin: 1rem; }
|
||||
ul { padding:0; margin: 0.2rem }
|
||||
li {
|
||||
border-radius: 0.2rem;
|
||||
display: inline;
|
||||
border: 2px #0b5d83 solid;
|
||||
padding: 0.5rem;
|
||||
line-height: 3rem;
|
||||
color: #0b5d83;
|
||||
}
|
||||
li:hover { background-color: #0b5d83; color: #fff; }
|
||||
li a, li a:hover { color: inherit; text-decoration: none }
|
||||
</style>
|
||||
</head>
|
||||
<body>
|
||||
${
|
||||
builtins.toString (lib.forEach sorted_builds (r: ''
|
||||
<section>
|
||||
<h2>${r.name} builds</h2>
|
||||
|
||||
<p>${r.description}</p>
|
||||
<p>${r.description}</p>
|
||||
|
||||
${if r.hide then "<details><summary>Show ${r.name} builds</summary>" else ""}
|
||||
${ builtins.toString (lib.forEach r.builds (x: ''
|
||||
<h3> ${x.version} (${(builtins.head x.builds).date}) </h3>
|
||||
<p>See this build on</p>
|
||||
<p> Binaries:
|
||||
<ul>
|
||||
${ builtins.toString (lib.forEach x.builds (b: ''
|
||||
<li><a href="/${b.path}">${prettyPlatform b.platform}</a></li>
|
||||
''))}
|
||||
</ul></p>
|
||||
<p> Sources:
|
||||
<ul>
|
||||
<li><a href="https://git.deuxfleurs.fr/Deuxfleurs/garage/src/${r.type}/${x.version}">gitea</a></li>
|
||||
<li><a href="https://git.deuxfleurs.fr/Deuxfleurs/garage/archive/${x.version}.zip">.zip</a></li>
|
||||
<li><a href="https://git.deuxfleurs.fr/Deuxfleurs/garage/archive/${x.version}.tar.gz">.tar.gz</a></li>
|
||||
</ul></p>
|
||||
'')) }
|
||||
${ if builtins.length r.builds == 0 then "<em>There is no build for this category</em>" else "" }
|
||||
${if r.hide then "</details>" else ""}
|
||||
</section>
|
||||
''))}
|
||||
</body>
|
||||
</html>
|
||||
'';
|
||||
in
|
||||
pkgs.symlinkJoin {
|
||||
name = "releases";
|
||||
paths = [ json html ];
|
||||
}
|
||||
${
|
||||
if r.hide then
|
||||
"<details><summary>Show ${r.name} builds</summary>"
|
||||
else
|
||||
""
|
||||
}
|
||||
${
|
||||
builtins.toString (lib.forEach r.builds (x: ''
|
||||
<h3> ${x.version} (${(builtins.head x.builds).date}) </h3>
|
||||
<p>See this build on</p>
|
||||
<p> Binaries:
|
||||
<ul>
|
||||
${builtins.toString (lib.forEach x.builds (b: ''
|
||||
<li><a href="/${b.path}">${
|
||||
prettyPlatform b.platform
|
||||
}</a></li>
|
||||
''))}
|
||||
</ul></p>
|
||||
<p> Sources:
|
||||
<ul>
|
||||
<li><a href="https://git.deuxfleurs.fr/Deuxfleurs/garage/src/${r.type}/${x.version}">gitea</a></li>
|
||||
<li><a href="https://git.deuxfleurs.fr/Deuxfleurs/garage/archive/${x.version}.zip">.zip</a></li>
|
||||
<li><a href="https://git.deuxfleurs.fr/Deuxfleurs/garage/archive/${x.version}.tar.gz">.tar.gz</a></li>
|
||||
</ul></p>
|
||||
''))
|
||||
}
|
||||
${
|
||||
if builtins.length r.builds == 0 then
|
||||
"<em>There is no build for this category</em>"
|
||||
else
|
||||
""
|
||||
}
|
||||
${if r.hide then "</details>" else ""}
|
||||
</section>
|
||||
''))
|
||||
}
|
||||
</body>
|
||||
</html>
|
||||
'';
|
||||
in pkgs.symlinkJoin {
|
||||
name = "releases";
|
||||
paths = [ json html ];
|
||||
}
|
||||
|
|
|
|||
|
|
@ -1,10 +1,9 @@
|
|||
rec {
|
||||
/*
|
||||
* Fixed dependencies
|
||||
*/
|
||||
# * Fixed dependencies
|
||||
pkgsSrc = fetchTarball {
|
||||
# As of 2022-10-13
|
||||
url = "https://github.com/NixOS/nixpkgs/archive/a3073c49bc0163fea6a121c276f526837672b555.zip";
|
||||
url =
|
||||
"https://github.com/NixOS/nixpkgs/archive/a3073c49bc0163fea6a121c276f526837672b555.zip";
|
||||
sha256 = "1bz632psfbpmicyzjb8b4265y50shylccvfm6ry6mgnv5hvz324s";
|
||||
};
|
||||
cargo2nixSrc = fetchGit {
|
||||
|
|
@ -14,9 +13,7 @@ rec {
|
|||
rev = "a7a61179b66054904ef6a195d8da736eaaa06c36";
|
||||
};
|
||||
|
||||
/*
|
||||
* Shared objects
|
||||
*/
|
||||
# * Shared objects
|
||||
cargo2nix = import cargo2nixSrc;
|
||||
cargo2nixOverlay = cargo2nix.overlays.default;
|
||||
}
|
||||
|
|
|
|||
417
nix/compile.nix
417
nix/compile.nix
|
|
@ -1,227 +1,240 @@
|
|||
{
|
||||
system,
|
||||
target ? null,
|
||||
pkgsSrc,
|
||||
cargo2nixOverlay,
|
||||
compiler ? "rustc",
|
||||
release ? false,
|
||||
git_version ? null,
|
||||
features ? null,
|
||||
}:
|
||||
{ system, target ? null, pkgsSrc, cargo2nixOverlay, compiler ? "rustc"
|
||||
, release ? false, git_version ? null, features ? null, }:
|
||||
|
||||
let
|
||||
log = v: builtins.trace v v;
|
||||
|
||||
pkgs =
|
||||
if target != null then
|
||||
import pkgsSrc {
|
||||
inherit system;
|
||||
crossSystem = {
|
||||
config = target;
|
||||
isStatic = true;
|
||||
};
|
||||
overlays = [ cargo2nixOverlay ];
|
||||
}
|
||||
else
|
||||
import pkgsSrc {
|
||||
inherit system;
|
||||
overlays = [ cargo2nixOverlay ];
|
||||
};
|
||||
|
||||
/*
|
||||
Cargo2nix is built for rustOverlay which installs Rust from Mozilla releases.
|
||||
This is fine for 64-bit platforms, but for 32-bit platforms, we need our own Rust
|
||||
to avoid incompatibilities with time_t between different versions of musl
|
||||
(>= 1.2.0 shipped by NixOS, < 1.2.0 with which rustc was built), which lead to compilation breakage.
|
||||
So we want a Rust release that is bound to our Nix repository to avoid these problems.
|
||||
See here for more info: https://musl.libc.org/time64.html
|
||||
Because Cargo2nix does not support the Rust environment shipped by NixOS,
|
||||
we emulate the structure of the Rust object created by rustOverlay.
|
||||
In practise, rustOverlay ships rustc+cargo in a single derivation while
|
||||
NixOS ships them in separate ones. We reunite them with symlinkJoin.
|
||||
*/
|
||||
toolchainOptions =
|
||||
if target == null || target == "x86_64-unknown-linux-musl" || target == "aarch64-unknown-linux-musl" then {
|
||||
rustVersion = "1.63.0";
|
||||
extraRustComponents = [ "clippy" ];
|
||||
} else {
|
||||
rustToolchain = pkgs.symlinkJoin {
|
||||
name = "rust-static-toolchain-${target}";
|
||||
paths = [
|
||||
pkgs.rustPlatform.rust.cargo
|
||||
pkgs.rustPlatform.rust.rustc
|
||||
# clippy not needed, it only runs on amd64
|
||||
];
|
||||
pkgs = if target != null then
|
||||
import pkgsSrc {
|
||||
inherit system;
|
||||
crossSystem = {
|
||||
config = target;
|
||||
isStatic = true;
|
||||
};
|
||||
overlays = [ cargo2nixOverlay ];
|
||||
}
|
||||
else
|
||||
import pkgsSrc {
|
||||
inherit system;
|
||||
overlays = [ cargo2nixOverlay ];
|
||||
};
|
||||
|
||||
|
||||
buildEnv = (drv: {
|
||||
rustc = drv.setBuildEnv;
|
||||
clippy = ''
|
||||
${drv.setBuildEnv or "" }
|
||||
echo
|
||||
echo --- BUILDING WITH CLIPPY ---
|
||||
echo
|
||||
|
||||
export NIX_RUST_BUILD_FLAGS="''${NIX_RUST_BUILD_FLAGS} --deny warnings"
|
||||
export RUSTC="''${CLIPPY_DRIVER}"
|
||||
'';
|
||||
}.${compiler});
|
||||
|
||||
/*
|
||||
Cargo2nix provides many overrides by default, you can take inspiration from them:
|
||||
https://github.com/cargo2nix/cargo2nix/blob/master/overlay/overrides.nix
|
||||
|
||||
You can have a complete list of the available options by looking at the overriden object, mkcrate:
|
||||
https://github.com/cargo2nix/cargo2nix/blob/master/overlay/mkcrate.nix
|
||||
/* Cargo2nix is built for rustOverlay which installs Rust from Mozilla releases.
|
||||
This is fine for 64-bit platforms, but for 32-bit platforms, we need our own Rust
|
||||
to avoid incompatibilities with time_t between different versions of musl
|
||||
(>= 1.2.0 shipped by NixOS, < 1.2.0 with which rustc was built), which lead to compilation breakage.
|
||||
So we want a Rust release that is bound to our Nix repository to avoid these problems.
|
||||
See here for more info: https://musl.libc.org/time64.html
|
||||
Because Cargo2nix does not support the Rust environment shipped by NixOS,
|
||||
we emulate the structure of the Rust object created by rustOverlay.
|
||||
In practise, rustOverlay ships rustc+cargo in a single derivation while
|
||||
NixOS ships them in separate ones. We reunite them with symlinkJoin.
|
||||
*/
|
||||
packageOverrides = pkgs: pkgs.rustBuilder.overrides.all ++ [
|
||||
/*
|
||||
[1] We add some logic to compile our crates with clippy, it provides us many additional lints
|
||||
toolchainOptions = if target == null || target == "x86_64-unknown-linux-musl"
|
||||
|| target == "aarch64-unknown-linux-musl" then {
|
||||
rustVersion = "1.63.0";
|
||||
extraRustComponents = [ "clippy" ];
|
||||
} else {
|
||||
rustToolchain = pkgs.symlinkJoin {
|
||||
name = "rust-static-toolchain-${target}";
|
||||
paths = [
|
||||
pkgs.rustPlatform.rust.cargo
|
||||
pkgs.rustPlatform.rust.rustc
|
||||
# clippy not needed, it only runs on amd64
|
||||
];
|
||||
};
|
||||
};
|
||||
|
||||
[2] We need to alter Nix hardening to make static binaries: PIE,
|
||||
Position Independent Executables seems to be supported only on amd64. Having
|
||||
this flag set either 1. make our executables crash or 2. compile as dynamic on some platforms.
|
||||
Here, we deactivate it. Later (find `codegenOpts`), we reactivate it for supported targets
|
||||
(only amd64 curently) through the `-static-pie` flag.
|
||||
PIE is a feature used by ASLR, which helps mitigate security issues.
|
||||
Learn more about Nix Hardening at: https://github.com/NixOS/nixpkgs/blob/master/pkgs/build-support/cc-wrapper/add-hardening.sh
|
||||
buildEnv = (drv:
|
||||
{
|
||||
rustc = drv.setBuildEnv;
|
||||
clippy = ''
|
||||
${drv.setBuildEnv or ""}
|
||||
echo
|
||||
echo --- BUILDING WITH CLIPPY ---
|
||||
echo
|
||||
|
||||
[3] We want to inject the git version while keeping the build deterministic.
|
||||
As we do not want to consider the .git folder as part of the input source,
|
||||
we ask the user (the CI often) to pass the value to Nix.
|
||||
export NIX_RUST_BUILD_FLAGS="''${NIX_RUST_BUILD_FLAGS} --deny warnings"
|
||||
export RUSTC="''${CLIPPY_DRIVER}"
|
||||
'';
|
||||
}.${compiler});
|
||||
|
||||
[4] We don't want libsodium-sys and zstd-sys to try to use pkgconfig to build against a system library.
|
||||
However the features to do so get activated for some reason (due to a bug in cargo2nix?),
|
||||
so disable them manually here.
|
||||
*/
|
||||
(pkgs.rustBuilder.rustLib.makeOverride {
|
||||
name = "garage";
|
||||
overrideAttrs = drv:
|
||||
(if git_version != null then {
|
||||
/* [3] */ preConfigure = ''
|
||||
${drv.preConfigure or ""}
|
||||
export GIT_VERSION="${git_version}"
|
||||
'';
|
||||
} else {})
|
||||
//
|
||||
{
|
||||
/* [1] */ setBuildEnv = (buildEnv drv);
|
||||
/* [2] */ hardeningDisable = [ "pie" ];
|
||||
};
|
||||
})
|
||||
/* Cargo2nix provides many overrides by default, you can take inspiration from them:
|
||||
https://github.com/cargo2nix/cargo2nix/blob/master/overlay/overrides.nix
|
||||
|
||||
(pkgs.rustBuilder.rustLib.makeOverride {
|
||||
name = "garage_rpc";
|
||||
overrideAttrs = drv: { /* [1] */ setBuildEnv = (buildEnv drv); };
|
||||
})
|
||||
|
||||
(pkgs.rustBuilder.rustLib.makeOverride {
|
||||
name = "garage_db";
|
||||
overrideAttrs = drv: { /* [1] */ setBuildEnv = (buildEnv drv); };
|
||||
})
|
||||
|
||||
(pkgs.rustBuilder.rustLib.makeOverride {
|
||||
name = "garage_util";
|
||||
overrideAttrs = drv: { /* [1] */ setBuildEnv = (buildEnv drv); };
|
||||
})
|
||||
|
||||
(pkgs.rustBuilder.rustLib.makeOverride {
|
||||
name = "garage_table";
|
||||
overrideAttrs = drv: { /* [1] */ setBuildEnv = (buildEnv drv); };
|
||||
})
|
||||
|
||||
(pkgs.rustBuilder.rustLib.makeOverride {
|
||||
name = "garage_block";
|
||||
overrideAttrs = drv: { /* [1] */ setBuildEnv = (buildEnv drv); };
|
||||
})
|
||||
|
||||
(pkgs.rustBuilder.rustLib.makeOverride {
|
||||
name = "garage_model";
|
||||
overrideAttrs = drv: { /* [1] */ setBuildEnv = (buildEnv drv); };
|
||||
})
|
||||
|
||||
(pkgs.rustBuilder.rustLib.makeOverride {
|
||||
name = "garage_api";
|
||||
overrideAttrs = drv: { /* [1] */ setBuildEnv = (buildEnv drv); };
|
||||
})
|
||||
|
||||
(pkgs.rustBuilder.rustLib.makeOverride {
|
||||
name = "garage_web";
|
||||
overrideAttrs = drv: { /* [1] */ setBuildEnv = (buildEnv drv); };
|
||||
})
|
||||
|
||||
(pkgs.rustBuilder.rustLib.makeOverride {
|
||||
name = "k2v-client";
|
||||
overrideAttrs = drv: { /* [1] */ setBuildEnv = (buildEnv drv); };
|
||||
})
|
||||
|
||||
(pkgs.rustBuilder.rustLib.makeOverride {
|
||||
name = "libsodium-sys";
|
||||
overrideArgs = old: {
|
||||
features = [ ]; /* [4] */
|
||||
};
|
||||
})
|
||||
|
||||
(pkgs.rustBuilder.rustLib.makeOverride {
|
||||
name = "zstd-sys";
|
||||
overrideArgs = old: {
|
||||
features = [ ]; /* [4] */
|
||||
};
|
||||
})
|
||||
];
|
||||
|
||||
/*
|
||||
We ship some parts of the code disabled by default by putting them behind a flag.
|
||||
It speeds up the compilation (when the feature is not required) and released crates have less dependency by default (less attack surface, disk space, etc.).
|
||||
But we want to ship these additional features when we release Garage.
|
||||
In the end, we chose to exclude all features from debug builds while putting (all of) them in the release builds.
|
||||
You can have a complete list of the available options by looking at the overriden object, mkcrate:
|
||||
https://github.com/cargo2nix/cargo2nix/blob/master/overlay/mkcrate.nix
|
||||
*/
|
||||
rootFeatures = if features != null then features else
|
||||
([
|
||||
"garage/bundled-libs"
|
||||
"garage/sled"
|
||||
"garage/k2v"
|
||||
] ++ (if release then [
|
||||
"garage/consul-discovery"
|
||||
"garage/kubernetes-discovery"
|
||||
"garage/metrics"
|
||||
"garage/telemetry-otlp"
|
||||
"garage/lmdb"
|
||||
"garage/sqlite"
|
||||
] else []));
|
||||
packageOverrides = pkgs:
|
||||
pkgs.rustBuilder.overrides.all ++ [
|
||||
/* [1] We add some logic to compile our crates with clippy, it provides us many additional lints
|
||||
|
||||
[2] We need to alter Nix hardening to make static binaries: PIE,
|
||||
Position Independent Executables seems to be supported only on amd64. Having
|
||||
this flag set either 1. make our executables crash or 2. compile as dynamic on some platforms.
|
||||
Here, we deactivate it. Later (find `codegenOpts`), we reactivate it for supported targets
|
||||
(only amd64 curently) through the `-static-pie` flag.
|
||||
PIE is a feature used by ASLR, which helps mitigate security issues.
|
||||
Learn more about Nix Hardening at: https://github.com/NixOS/nixpkgs/blob/master/pkgs/build-support/cc-wrapper/add-hardening.sh
|
||||
|
||||
[3] We want to inject the git version while keeping the build deterministic.
|
||||
As we do not want to consider the .git folder as part of the input source,
|
||||
we ask the user (the CI often) to pass the value to Nix.
|
||||
|
||||
[4] We don't want libsodium-sys and zstd-sys to try to use pkgconfig to build against a system library.
|
||||
However the features to do so get activated for some reason (due to a bug in cargo2nix?),
|
||||
so disable them manually here.
|
||||
*/
|
||||
(pkgs.rustBuilder.rustLib.makeOverride {
|
||||
name = "garage";
|
||||
overrideAttrs = drv:
|
||||
(if git_version != null then {
|
||||
# [3]
|
||||
preConfigure = ''
|
||||
${drv.preConfigure or ""}
|
||||
export GIT_VERSION="${git_version}"
|
||||
'';
|
||||
} else
|
||||
{ }) // {
|
||||
# [1]
|
||||
setBuildEnv = (buildEnv drv);
|
||||
# [2]
|
||||
hardeningDisable = [ "pie" ];
|
||||
};
|
||||
})
|
||||
|
||||
(pkgs.rustBuilder.rustLib.makeOverride {
|
||||
name = "garage_rpc";
|
||||
overrideAttrs = drv: { # [1]
|
||||
setBuildEnv = (buildEnv drv);
|
||||
};
|
||||
})
|
||||
|
||||
(pkgs.rustBuilder.rustLib.makeOverride {
|
||||
name = "garage_db";
|
||||
overrideAttrs = drv: { # [1]
|
||||
setBuildEnv = (buildEnv drv);
|
||||
};
|
||||
})
|
||||
|
||||
(pkgs.rustBuilder.rustLib.makeOverride {
|
||||
name = "garage_util";
|
||||
overrideAttrs = drv: { # [1]
|
||||
setBuildEnv = (buildEnv drv);
|
||||
};
|
||||
})
|
||||
|
||||
(pkgs.rustBuilder.rustLib.makeOverride {
|
||||
name = "garage_table";
|
||||
overrideAttrs = drv: { # [1]
|
||||
setBuildEnv = (buildEnv drv);
|
||||
};
|
||||
})
|
||||
|
||||
(pkgs.rustBuilder.rustLib.makeOverride {
|
||||
name = "garage_block";
|
||||
overrideAttrs = drv: { # [1]
|
||||
setBuildEnv = (buildEnv drv);
|
||||
};
|
||||
})
|
||||
|
||||
(pkgs.rustBuilder.rustLib.makeOverride {
|
||||
name = "garage_model";
|
||||
overrideAttrs = drv: { # [1]
|
||||
setBuildEnv = (buildEnv drv);
|
||||
};
|
||||
})
|
||||
|
||||
(pkgs.rustBuilder.rustLib.makeOverride {
|
||||
name = "garage_api";
|
||||
overrideAttrs = drv: { # [1]
|
||||
setBuildEnv = (buildEnv drv);
|
||||
};
|
||||
})
|
||||
|
||||
(pkgs.rustBuilder.rustLib.makeOverride {
|
||||
name = "garage_web";
|
||||
overrideAttrs = drv: { # [1]
|
||||
setBuildEnv = (buildEnv drv);
|
||||
};
|
||||
})
|
||||
|
||||
(pkgs.rustBuilder.rustLib.makeOverride {
|
||||
name = "k2v-client";
|
||||
overrideAttrs = drv: { # [1]
|
||||
setBuildEnv = (buildEnv drv);
|
||||
};
|
||||
})
|
||||
|
||||
(pkgs.rustBuilder.rustLib.makeOverride {
|
||||
name = "libsodium-sys";
|
||||
overrideArgs = old: {
|
||||
features = [ ]; # [4]
|
||||
};
|
||||
})
|
||||
|
||||
(pkgs.rustBuilder.rustLib.makeOverride {
|
||||
name = "zstd-sys";
|
||||
overrideArgs = old: {
|
||||
features = [ ]; # [4]
|
||||
};
|
||||
})
|
||||
];
|
||||
|
||||
/* We ship some parts of the code disabled by default by putting them behind a flag.
|
||||
It speeds up the compilation (when the feature is not required) and released crates have less dependency by default (less attack surface, disk space, etc.).
|
||||
But we want to ship these additional features when we release Garage.
|
||||
In the end, we chose to exclude all features from debug builds while putting (all of) them in the release builds.
|
||||
*/
|
||||
rootFeatures = if features != null then
|
||||
features
|
||||
else
|
||||
([ "garage/bundled-libs" "garage/sled" "garage/k2v" ] ++ (if release then [
|
||||
"garage/consul-discovery"
|
||||
"garage/kubernetes-discovery"
|
||||
"garage/metrics"
|
||||
"garage/telemetry-otlp"
|
||||
"garage/lmdb"
|
||||
"garage/sqlite"
|
||||
] else
|
||||
[ ]));
|
||||
|
||||
packageFun = import ../Cargo.nix;
|
||||
|
||||
/*
|
||||
We compile fully static binaries with musl to simplify deployment on most systems.
|
||||
When possible, we reactivate PIE hardening (see above).
|
||||
/* We compile fully static binaries with musl to simplify deployment on most systems.
|
||||
When possible, we reactivate PIE hardening (see above).
|
||||
|
||||
Also, if you set the RUSTFLAGS environment variable, the following parameters will
|
||||
be ignored.
|
||||
Also, if you set the RUSTFLAGS environment variable, the following parameters will
|
||||
be ignored.
|
||||
|
||||
For more information on static builds, please refer to Rust's RFC 1721.
|
||||
https://rust-lang.github.io/rfcs/1721-crt-static.html#specifying-dynamicstatic-c-runtime-linkage
|
||||
For more information on static builds, please refer to Rust's RFC 1721.
|
||||
https://rust-lang.github.io/rfcs/1721-crt-static.html#specifying-dynamicstatic-c-runtime-linkage
|
||||
*/
|
||||
|
||||
codegenOpts = {
|
||||
"armv6l-unknown-linux-musleabihf" = [ "target-feature=+crt-static" "link-arg=-static" ]; /* compile as dynamic with static-pie */
|
||||
"aarch64-unknown-linux-musl" = [ "target-feature=+crt-static" "link-arg=-static" ]; /* segfault with static-pie */
|
||||
"i686-unknown-linux-musl" = [ "target-feature=+crt-static" "link-arg=-static" ]; /* segfault with static-pie */
|
||||
"x86_64-unknown-linux-musl" = [ "target-feature=+crt-static" "link-arg=-static-pie" ];
|
||||
"armv6l-unknown-linux-musleabihf" = [
|
||||
"target-feature=+crt-static"
|
||||
"link-arg=-static"
|
||||
]; # compile as dynamic with static-pie
|
||||
"aarch64-unknown-linux-musl" = [
|
||||
"target-feature=+crt-static"
|
||||
"link-arg=-static"
|
||||
]; # segfault with static-pie
|
||||
"i686-unknown-linux-musl" = [
|
||||
"target-feature=+crt-static"
|
||||
"link-arg=-static"
|
||||
]; # segfault with static-pie
|
||||
"x86_64-unknown-linux-musl" =
|
||||
[ "target-feature=+crt-static" "link-arg=-static-pie" ];
|
||||
};
|
||||
|
||||
/*
|
||||
NixOS and Rust/Cargo triples do not match for ARM, fix it here.
|
||||
*/
|
||||
rustTarget = if target == "armv6l-unknown-linux-musleabihf"
|
||||
then "arm-unknown-linux-musleabihf"
|
||||
else target;
|
||||
# NixOS and Rust/Cargo triples do not match for ARM, fix it here.
|
||||
rustTarget = if target == "armv6l-unknown-linux-musleabihf" then
|
||||
"arm-unknown-linux-musleabihf"
|
||||
else
|
||||
target;
|
||||
|
||||
in
|
||||
pkgs.rustBuilder.makePackageSet ({
|
||||
inherit release packageFun packageOverrides codegenOpts rootFeatures;
|
||||
target = rustTarget;
|
||||
} // toolchainOptions)
|
||||
in pkgs.rustBuilder.makePackageSet ({
|
||||
inherit release packageFun packageOverrides codegenOpts rootFeatures;
|
||||
target = rustTarget;
|
||||
} // toolchainOptions)
|
||||
|
|
|
|||
|
|
@ -15,7 +15,8 @@ pkgs.buildGoModule rec {
|
|||
checkPhase = "true";
|
||||
|
||||
meta = with pkgs.lib; {
|
||||
description = "kaniko is a tool to build container images from a Dockerfile, inside a container or Kubernetes cluster.";
|
||||
description =
|
||||
"kaniko is a tool to build container images from a Dockerfile, inside a container or Kubernetes cluster.";
|
||||
homepage = "https://github.com/GoogleContainerTools/kaniko";
|
||||
license = licenses.asl20;
|
||||
platforms = platforms.linux;
|
||||
|
|
|
|||
|
|
@ -15,7 +15,8 @@ pkgs.buildGoModule rec {
|
|||
checkPhase = "true";
|
||||
|
||||
meta = with pkgs.lib; {
|
||||
description = "Command line tool to create and query container image manifest list/indexes";
|
||||
description =
|
||||
"Command line tool to create and query container image manifest list/indexes";
|
||||
homepage = "https://github.com/estesp/manifest-tool";
|
||||
license = licenses.asl20;
|
||||
platforms = platforms.linux;
|
||||
|
|
|
|||
|
|
@ -1,6 +1,4 @@
|
|||
{
|
||||
system ? builtins.currentSystem,
|
||||
}:
|
||||
{ system ? builtins.currentSystem, }:
|
||||
|
||||
with import ./common.nix;
|
||||
|
||||
|
|
@ -11,27 +9,23 @@ let
|
|||
#"aarch64-unknown-linux-musl"
|
||||
"armv6l-unknown-linux-musleabihf"
|
||||
];
|
||||
pkgsList = builtins.map (target: import pkgsSrc {
|
||||
inherit system;
|
||||
crossSystem = {
|
||||
config = target;
|
||||
isStatic = true;
|
||||
};
|
||||
overlays = [ cargo2nixOverlay ];
|
||||
}) platforms;
|
||||
pkgsHost = import pkgsSrc {};
|
||||
pkgsList = builtins.map (target:
|
||||
import pkgsSrc {
|
||||
inherit system;
|
||||
crossSystem = {
|
||||
config = target;
|
||||
isStatic = true;
|
||||
};
|
||||
overlays = [ cargo2nixOverlay ];
|
||||
}) platforms;
|
||||
pkgsHost = import pkgsSrc { };
|
||||
lib = pkgsHost.lib;
|
||||
kaniko = (import ./kaniko.nix) pkgsHost;
|
||||
winscp = (import ./winscp.nix) pkgsHost;
|
||||
manifestTool = (import ./manifest-tool.nix) pkgsHost;
|
||||
in
|
||||
lib.flatten (builtins.map (pkgs: [
|
||||
pkgs.rustPlatform.rust.rustc
|
||||
pkgs.rustPlatform.rust.cargo
|
||||
pkgs.buildPackages.stdenv.cc
|
||||
]) pkgsList) ++ [
|
||||
kaniko
|
||||
winscp
|
||||
manifestTool
|
||||
]
|
||||
in lib.flatten (builtins.map (pkgs: [
|
||||
pkgs.rustPlatform.rust.rustc
|
||||
pkgs.rustPlatform.rust.cargo
|
||||
pkgs.buildPackages.stdenv.cc
|
||||
]) pkgsList) ++ [ kaniko winscp manifestTool ]
|
||||
|
||||
|
|
|
|||
|
|
@ -11,12 +11,12 @@ pkgs.stdenv.mkDerivation rec {
|
|||
};
|
||||
|
||||
buildPhase = ''
|
||||
cat > winscp <<EOF
|
||||
#!${pkgs.bash}/bin/bash
|
||||
cat > winscp <<EOF
|
||||
#!${pkgs.bash}/bin/bash
|
||||
|
||||
WINEDEBUG=-all
|
||||
${pkgs.winePackages.minimal}/bin/wine $out/opt/WinSCP.com
|
||||
EOF
|
||||
WINEDEBUG=-all
|
||||
${pkgs.winePackages.minimal}/bin/wine $out/opt/WinSCP.com
|
||||
EOF
|
||||
'';
|
||||
|
||||
installPhase = ''
|
||||
|
|
|
|||
303
shell.nix
303
shell.nix
|
|
@ -1,6 +1,4 @@
|
|||
{
|
||||
system ? builtins.currentSystem,
|
||||
}:
|
||||
{ system ? builtins.currentSystem, }:
|
||||
|
||||
with import ./nix/common.nix;
|
||||
|
||||
|
|
@ -13,161 +11,152 @@ let
|
|||
manifest-tool = (import ./nix/manifest-tool.nix) pkgs;
|
||||
winscp = (import ./nix/winscp.nix) pkgs;
|
||||
|
||||
in
|
||||
{
|
||||
/* --- Rust Shell ---
|
||||
* Use it to compile Garage
|
||||
*/
|
||||
rust = pkgs.mkShell {
|
||||
nativeBuildInputs = [
|
||||
#pkgs.rustPlatform.rust.rustc
|
||||
pkgs.rustPlatform.rust.cargo
|
||||
#pkgs.clippy
|
||||
pkgs.rustfmt
|
||||
#pkgs.perl
|
||||
#pkgs.protobuf
|
||||
#pkgs.pkg-config
|
||||
#pkgs.openssl
|
||||
pkgs.file
|
||||
#cargo2nix.packages.x86_64-linux.cargo2nix
|
||||
];
|
||||
};
|
||||
in {
|
||||
# --- Rust Shell ---
|
||||
# Use it to compile Garage
|
||||
rust = pkgs.mkShell {
|
||||
nativeBuildInputs = [
|
||||
#pkgs.rustPlatform.rust.rustc
|
||||
pkgs.rustPlatform.rust.cargo
|
||||
#pkgs.clippy
|
||||
pkgs.rustfmt
|
||||
#pkgs.perl
|
||||
#pkgs.protobuf
|
||||
#pkgs.pkg-config
|
||||
#pkgs.openssl
|
||||
pkgs.file
|
||||
#cargo2nix.packages.x86_64-linux.cargo2nix
|
||||
];
|
||||
};
|
||||
|
||||
/* --- Integration shell ---
|
||||
* Use it to test Garage with common S3 clients
|
||||
*/
|
||||
integration = pkgs.mkShell {
|
||||
nativeBuildInputs = [
|
||||
winscp
|
||||
pkgs.s3cmd
|
||||
pkgs.awscli2
|
||||
pkgs.minio-client
|
||||
pkgs.rclone
|
||||
pkgs.socat
|
||||
pkgs.psmisc
|
||||
pkgs.which
|
||||
pkgs.openssl
|
||||
pkgs.curl
|
||||
pkgs.jq
|
||||
];
|
||||
};
|
||||
# --- Integration shell ---
|
||||
# Use it to test Garage with common S3 clients
|
||||
integration = pkgs.mkShell {
|
||||
nativeBuildInputs = [
|
||||
winscp
|
||||
pkgs.s3cmd
|
||||
pkgs.awscli2
|
||||
pkgs.minio-client
|
||||
pkgs.rclone
|
||||
pkgs.socat
|
||||
pkgs.psmisc
|
||||
pkgs.which
|
||||
pkgs.openssl
|
||||
pkgs.curl
|
||||
pkgs.jq
|
||||
];
|
||||
};
|
||||
|
||||
/* --- Release shell ---
|
||||
* A shell built to make releasing easier
|
||||
*/
|
||||
release = pkgs.mkShell {
|
||||
shellHook = ''
|
||||
function refresh_toolchain {
|
||||
pass show deuxfleurs/nix_priv_key > /tmp/nix-signing-key.sec
|
||||
nix copy \
|
||||
--to 's3://nix?endpoint=garage.deuxfleurs.fr®ion=garage&secret-key=/tmp/nix-signing-key.sec' \
|
||||
$(nix-store -qR \
|
||||
$(nix-build --no-build-output --no-out-link nix/toolchain.nix))
|
||||
rm /tmp/nix-signing-key.sec
|
||||
# --- Release shell ---
|
||||
# A shell built to make releasing easier
|
||||
release = pkgs.mkShell {
|
||||
shellHook = ''
|
||||
function refresh_toolchain {
|
||||
pass show deuxfleurs/nix_priv_key > /tmp/nix-signing-key.sec
|
||||
nix copy \
|
||||
--to 's3://nix?endpoint=garage.deuxfleurs.fr®ion=garage&secret-key=/tmp/nix-signing-key.sec' \
|
||||
$(nix-store -qR \
|
||||
$(nix-build --no-build-output --no-out-link nix/toolchain.nix))
|
||||
rm /tmp/nix-signing-key.sec
|
||||
}
|
||||
|
||||
function refresh_cache {
|
||||
pass show deuxfleurs/nix_priv_key > /tmp/nix-signing-key.sec
|
||||
for attr in clippy.amd64 test.amd64 pkgs.{amd64,i386,arm,arm64}.{debug,release}; do
|
||||
echo "Updating cache for ''${attr}"
|
||||
derivation=$(nix-instantiate --attr ''${attr})
|
||||
nix copy -j8 \
|
||||
--to 's3://nix?endpoint=garage.deuxfleurs.fr®ion=garage&secret-key=/tmp/nix-signing-key.sec' \
|
||||
$(nix-store -qR ''${derivation%\!bin})
|
||||
done
|
||||
rm /tmp/nix-signing-key.sec
|
||||
}
|
||||
|
||||
function refresh_flake_cache {
|
||||
pass show deuxfleurs/nix_priv_key > /tmp/nix-signing-key.sec
|
||||
for attr in packages.x86_64-linux.default devShell.x86_64-linux; do
|
||||
echo "Updating cache for ''${attr}"
|
||||
derivation=$(nix path-info --derivation ".#''${attr}")
|
||||
nix copy -j8 \
|
||||
--to 's3://nix?endpoint=garage.deuxfleurs.fr®ion=garage&secret-key=/tmp/nix-signing-key.sec' \
|
||||
$(nix-store -qR ''${derivation})
|
||||
done
|
||||
rm /tmp/nix-signing-key.sec
|
||||
}
|
||||
|
||||
function to_s3 {
|
||||
aws \
|
||||
--endpoint-url https://garage.deuxfleurs.fr \
|
||||
--region garage \
|
||||
s3 cp \
|
||||
./result-bin/bin/garage \
|
||||
s3://garagehq.deuxfleurs.fr/_releases/''${DRONE_TAG:-$DRONE_COMMIT}/''${TARGET}/garage
|
||||
}
|
||||
|
||||
function to_docker {
|
||||
executor \
|
||||
--force \
|
||||
--customPlatform="''${DOCKER_PLATFORM}" \
|
||||
--destination "''${CONTAINER_NAME}:''${CONTAINER_TAG}" \
|
||||
--context dir://`pwd` \
|
||||
--verbosity=debug
|
||||
}
|
||||
|
||||
function multiarch_docker {
|
||||
manifest-tool push from-spec <(cat <<EOF
|
||||
image: dxflrs/garage:''${CONTAINER_TAG}
|
||||
manifests:
|
||||
-
|
||||
image: dxflrs/arm64_garage:''${CONTAINER_TAG}
|
||||
platform:
|
||||
architecture: arm64
|
||||
os: linux
|
||||
-
|
||||
image: dxflrs/amd64_garage:''${CONTAINER_TAG}
|
||||
platform:
|
||||
architecture: amd64
|
||||
os: linux
|
||||
-
|
||||
image: dxflrs/386_garage:''${CONTAINER_TAG}
|
||||
platform:
|
||||
architecture: 386
|
||||
os: linux
|
||||
-
|
||||
image: dxflrs/arm_garage:''${CONTAINER_TAG}
|
||||
platform:
|
||||
architecture: arm
|
||||
os: linux
|
||||
EOF
|
||||
)
|
||||
}
|
||||
|
||||
function refresh_index {
|
||||
aws \
|
||||
--endpoint-url https://garage.deuxfleurs.fr \
|
||||
--region garage \
|
||||
s3 ls \
|
||||
--recursive \
|
||||
s3://garagehq.deuxfleurs.fr/_releases/ \
|
||||
> aws-list.txt
|
||||
|
||||
nix-build nix/build_index.nix
|
||||
|
||||
aws \
|
||||
--endpoint-url https://garage.deuxfleurs.fr \
|
||||
--region garage \
|
||||
s3 cp \
|
||||
result/share/_releases.json \
|
||||
s3://garagehq.deuxfleurs.fr/
|
||||
|
||||
aws \
|
||||
--endpoint-url https://garage.deuxfleurs.fr \
|
||||
--region garage \
|
||||
s3 cp \
|
||||
result/share/_releases.html \
|
||||
s3://garagehq.deuxfleurs.fr/
|
||||
}
|
||||
'';
|
||||
nativeBuildInputs = [ pkgs.awscli2 kaniko manifest-tool ];
|
||||
};
|
||||
}
|
||||
|
||||
function refresh_cache {
|
||||
pass show deuxfleurs/nix_priv_key > /tmp/nix-signing-key.sec
|
||||
for attr in clippy.amd64 test.amd64 pkgs.{amd64,i386,arm,arm64}.{debug,release}; do
|
||||
echo "Updating cache for ''${attr}"
|
||||
derivation=$(nix-instantiate --attr ''${attr})
|
||||
nix copy -j8 \
|
||||
--to 's3://nix?endpoint=garage.deuxfleurs.fr®ion=garage&secret-key=/tmp/nix-signing-key.sec' \
|
||||
$(nix-store -qR ''${derivation%\!bin})
|
||||
done
|
||||
rm /tmp/nix-signing-key.sec
|
||||
}
|
||||
|
||||
function refresh_flake_cache {
|
||||
pass show deuxfleurs/nix_priv_key > /tmp/nix-signing-key.sec
|
||||
for attr in packages.x86_64-linux.default; do
|
||||
echo "Updating cache for ''${attr}"
|
||||
derivation=$(nix path-info --derivation ".#''${attr}")
|
||||
nix copy -j8 \
|
||||
--to 's3://nix?endpoint=garage.deuxfleurs.fr®ion=garage&secret-key=/tmp/nix-signing-key.sec' \
|
||||
$(nix-store -qR ''${derivation})
|
||||
done
|
||||
rm /tmp/nix-signing-key.sec
|
||||
}
|
||||
|
||||
function to_s3 {
|
||||
aws \
|
||||
--endpoint-url https://garage.deuxfleurs.fr \
|
||||
--region garage \
|
||||
s3 cp \
|
||||
./result-bin/bin/garage \
|
||||
s3://garagehq.deuxfleurs.fr/_releases/''${DRONE_TAG:-$DRONE_COMMIT}/''${TARGET}/garage
|
||||
}
|
||||
|
||||
function to_docker {
|
||||
executor \
|
||||
--force \
|
||||
--customPlatform="''${DOCKER_PLATFORM}" \
|
||||
--destination "''${CONTAINER_NAME}:''${CONTAINER_TAG}" \
|
||||
--context dir://`pwd` \
|
||||
--verbosity=debug
|
||||
}
|
||||
|
||||
function multiarch_docker {
|
||||
manifest-tool push from-spec <(cat <<EOF
|
||||
image: dxflrs/garage:''${CONTAINER_TAG}
|
||||
manifests:
|
||||
-
|
||||
image: dxflrs/arm64_garage:''${CONTAINER_TAG}
|
||||
platform:
|
||||
architecture: arm64
|
||||
os: linux
|
||||
-
|
||||
image: dxflrs/amd64_garage:''${CONTAINER_TAG}
|
||||
platform:
|
||||
architecture: amd64
|
||||
os: linux
|
||||
-
|
||||
image: dxflrs/386_garage:''${CONTAINER_TAG}
|
||||
platform:
|
||||
architecture: 386
|
||||
os: linux
|
||||
-
|
||||
image: dxflrs/arm_garage:''${CONTAINER_TAG}
|
||||
platform:
|
||||
architecture: arm
|
||||
os: linux
|
||||
EOF
|
||||
)
|
||||
}
|
||||
|
||||
function refresh_index {
|
||||
aws \
|
||||
--endpoint-url https://garage.deuxfleurs.fr \
|
||||
--region garage \
|
||||
s3 ls \
|
||||
--recursive \
|
||||
s3://garagehq.deuxfleurs.fr/_releases/ \
|
||||
> aws-list.txt
|
||||
|
||||
nix-build nix/build_index.nix
|
||||
|
||||
aws \
|
||||
--endpoint-url https://garage.deuxfleurs.fr \
|
||||
--region garage \
|
||||
s3 cp \
|
||||
result/share/_releases.json \
|
||||
s3://garagehq.deuxfleurs.fr/
|
||||
|
||||
aws \
|
||||
--endpoint-url https://garage.deuxfleurs.fr \
|
||||
--region garage \
|
||||
s3 cp \
|
||||
result/share/_releases.html \
|
||||
s3://garagehq.deuxfleurs.fr/
|
||||
}
|
||||
'';
|
||||
nativeBuildInputs = [
|
||||
pkgs.awscli2
|
||||
kaniko
|
||||
manifest-tool
|
||||
];
|
||||
};
|
||||
}
|
||||
|
||||
|
||||
|
|
|
|||
|
|
@ -21,28 +21,28 @@ garage_util = { version = "0.8.1", path = "../util" }
|
|||
garage_rpc = { version = "0.8.1", path = "../rpc" }
|
||||
|
||||
async-trait = "0.1.7"
|
||||
base64 = "0.13"
|
||||
base64 = "0.21"
|
||||
bytes = "1.0"
|
||||
chrono = "0.4"
|
||||
crypto-common = "0.1"
|
||||
err-derive = "0.3"
|
||||
hex = "0.4"
|
||||
hmac = "0.12"
|
||||
idna = "0.2"
|
||||
tracing = "0.1.30"
|
||||
idna = "0.3"
|
||||
tracing = "0.1"
|
||||
md-5 = "0.10"
|
||||
nom = "7.1"
|
||||
sha2 = "0.10"
|
||||
|
||||
futures = "0.3"
|
||||
futures-util = "0.3"
|
||||
pin-project = "1.0.11"
|
||||
pin-project = "1.0.12"
|
||||
tokio = { version = "1.0", default-features = false, features = ["rt", "rt-multi-thread", "io-util", "net", "time", "macros", "sync", "signal", "fs"] }
|
||||
tokio-stream = "0.1"
|
||||
|
||||
form_urlencoded = "1.0.0"
|
||||
http = "0.2"
|
||||
httpdate = "0.3"
|
||||
httpdate = "1.0"
|
||||
http-range = "0.1"
|
||||
hyper = { version = "0.14", features = ["server", "http1", "runtime", "tcp", "stream"] }
|
||||
multer = "2.0"
|
||||
|
|
@ -52,7 +52,7 @@ serde = { version = "1.0", features = ["derive"] }
|
|||
serde_bytes = "0.11"
|
||||
serde_json = "1.0"
|
||||
quick-xml = { version = "0.21", features = [ "serialize" ] }
|
||||
url = "2.1"
|
||||
url = "2.3"
|
||||
|
||||
opentelemetry = "0.17"
|
||||
opentelemetry-prometheus = { version = "0.10", optional = true }
|
||||
|
|
|
|||
|
|
@ -77,6 +77,53 @@ impl AdminApiServer {
|
|||
.body(Body::empty())?)
|
||||
}
|
||||
|
||||
async fn handle_check_website_enabled(
|
||||
&self,
|
||||
req: Request<Body>,
|
||||
) -> Result<Response<Body>, Error> {
|
||||
let has_domain_header = req.headers().contains_key("domain");
|
||||
|
||||
if !has_domain_header {
|
||||
return Err(Error::bad_request("No domain header found"));
|
||||
}
|
||||
|
||||
let domain = &req
|
||||
.headers()
|
||||
.get("domain")
|
||||
.ok_or_internal_error("Could not parse domain header")?;
|
||||
|
||||
let domain_string = String::from(
|
||||
domain
|
||||
.to_str()
|
||||
.ok_or_bad_request("Invalid characters found in domain header")?,
|
||||
);
|
||||
|
||||
let bucket_id = self
|
||||
.garage
|
||||
.bucket_helper()
|
||||
.resolve_global_bucket_name(&domain_string)
|
||||
.await?
|
||||
.ok_or_else(|| HelperError::NoSuchBucket(domain_string))?;
|
||||
|
||||
let bucket = self
|
||||
.garage
|
||||
.bucket_helper()
|
||||
.get_existing_bucket(bucket_id)
|
||||
.await?;
|
||||
|
||||
let bucket_state = bucket.state.as_option().unwrap();
|
||||
let bucket_website_config = bucket_state.website_config.get();
|
||||
|
||||
match bucket_website_config {
|
||||
Some(_v) => Ok(Response::builder()
|
||||
.status(StatusCode::OK)
|
||||
.body(Body::from("Bucket authorized for website hosting"))?),
|
||||
None => Err(Error::bad_request(
|
||||
"Bucket is not authorized for website hosting",
|
||||
)),
|
||||
}
|
||||
}
|
||||
|
||||
fn handle_health(&self) -> Result<Response<Body>, Error> {
|
||||
let health = self.garage.system.health();
|
||||
|
||||
|
|
@ -174,6 +221,7 @@ impl ApiHandler for AdminApiServer {
|
|||
|
||||
match endpoint {
|
||||
Endpoint::Options => self.handle_options(&req),
|
||||
Endpoint::CheckWebsiteEnabled => self.handle_check_website_enabled(req).await,
|
||||
Endpoint::Health => self.handle_health(),
|
||||
Endpoint::Metrics => self.handle_metrics(),
|
||||
Endpoint::GetClusterStatus => handle_get_cluster_status(&self.garage).await,
|
||||
|
|
|
|||
|
|
@ -17,6 +17,7 @@ router_match! {@func
|
|||
#[derive(Debug, Clone, PartialEq, Eq)]
|
||||
pub enum Endpoint {
|
||||
Options,
|
||||
CheckWebsiteEnabled,
|
||||
Health,
|
||||
Metrics,
|
||||
GetClusterStatus,
|
||||
|
|
@ -91,6 +92,7 @@ impl Endpoint {
|
|||
|
||||
let res = router_match!(@gen_path_parser (req.method(), path, query) [
|
||||
OPTIONS _ => Options,
|
||||
GET "/check" => CheckWebsiteEnabled,
|
||||
GET "/health" => Health,
|
||||
GET "/metrics" => Metrics,
|
||||
GET "/v0/status" => GetClusterStatus,
|
||||
|
|
@ -136,6 +138,7 @@ impl Endpoint {
|
|||
pub fn authorization_type(&self) -> Authorization {
|
||||
match self {
|
||||
Self::Health => Authorization::None,
|
||||
Self::CheckWebsiteEnabled => Authorization::None,
|
||||
Self::Metrics => Authorization::MetricsToken,
|
||||
_ => Authorization::AdminToken,
|
||||
}
|
||||
|
|
|
|||
|
|
@ -1,5 +1,6 @@
|
|||
use std::sync::Arc;
|
||||
|
||||
use base64::prelude::*;
|
||||
use hyper::{Body, Request, Response, StatusCode};
|
||||
use serde::{Deserialize, Serialize};
|
||||
|
||||
|
|
@ -26,9 +27,11 @@ pub async fn handle_insert_batch(
|
|||
for it in items {
|
||||
let ct = it.ct.map(|s| CausalContext::parse_helper(&s)).transpose()?;
|
||||
let v = match it.v {
|
||||
Some(vs) => {
|
||||
DvvsValue::Value(base64::decode(vs).ok_or_bad_request("Invalid base64 value")?)
|
||||
}
|
||||
Some(vs) => DvvsValue::Value(
|
||||
BASE64_STANDARD
|
||||
.decode(vs)
|
||||
.ok_or_bad_request("Invalid base64 value")?,
|
||||
),
|
||||
None => DvvsValue::Deleted,
|
||||
};
|
||||
items2.push((it.pk, it.sk, ct, v));
|
||||
|
|
@ -358,7 +361,7 @@ impl ReadBatchResponseItem {
|
|||
.values()
|
||||
.iter()
|
||||
.map(|v| match v {
|
||||
DvvsValue::Value(x) => Some(base64::encode(x)),
|
||||
DvvsValue::Value(x) => Some(BASE64_STANDARD.encode(x)),
|
||||
DvvsValue::Deleted => None,
|
||||
})
|
||||
.collect::<Vec<_>>();
|
||||
|
|
|
|||
|
|
@ -1,5 +1,6 @@
|
|||
use std::sync::Arc;
|
||||
|
||||
use base64::prelude::*;
|
||||
use http::header;
|
||||
|
||||
use hyper::{Body, Request, Response, StatusCode};
|
||||
|
|
@ -81,7 +82,7 @@ impl ReturnFormat {
|
|||
.iter()
|
||||
.map(|v| match v {
|
||||
DvvsValue::Deleted => serde_json::Value::Null,
|
||||
DvvsValue::Value(v) => serde_json::Value::String(base64::encode(v)),
|
||||
DvvsValue::Value(v) => serde_json::Value::String(BASE64_STANDARD.encode(v)),
|
||||
})
|
||||
.collect::<Vec<_>>();
|
||||
let json_body =
|
||||
|
|
|
|||
|
|
@ -3,6 +3,7 @@ use std::collections::{BTreeMap, BTreeSet};
|
|||
use std::iter::{Iterator, Peekable};
|
||||
use std::sync::Arc;
|
||||
|
||||
use base64::prelude::*;
|
||||
use hyper::{Body, Response};
|
||||
|
||||
use garage_util::data::*;
|
||||
|
|
@ -129,11 +130,11 @@ pub async fn handle_list(
|
|||
next_continuation_token: match (query.is_v2, &pagination) {
|
||||
(true, Some(RangeBegin::AfterKey { key })) => Some(s3_xml::Value(format!(
|
||||
"]{}",
|
||||
base64::encode(key.as_bytes())
|
||||
BASE64_STANDARD.encode(key.as_bytes())
|
||||
))),
|
||||
(true, Some(RangeBegin::IncludingKey { key, .. })) => Some(s3_xml::Value(format!(
|
||||
"[{}",
|
||||
base64::encode(key.as_bytes())
|
||||
BASE64_STANDARD.encode(key.as_bytes())
|
||||
))),
|
||||
_ => None,
|
||||
},
|
||||
|
|
@ -583,14 +584,16 @@ impl ListObjectsQuery {
|
|||
(Some(token), _) => match &token[..1] {
|
||||
"[" => Ok(RangeBegin::IncludingKey {
|
||||
key: String::from_utf8(
|
||||
base64::decode(token[1..].as_bytes())
|
||||
BASE64_STANDARD
|
||||
.decode(token[1..].as_bytes())
|
||||
.ok_or_bad_request("Invalid continuation token")?,
|
||||
)?,
|
||||
fallback_key: None,
|
||||
}),
|
||||
"]" => Ok(RangeBegin::AfterKey {
|
||||
key: String::from_utf8(
|
||||
base64::decode(token[1..].as_bytes())
|
||||
BASE64_STANDARD
|
||||
.decode(token[1..].as_bytes())
|
||||
.ok_or_bad_request("Invalid continuation token")?,
|
||||
)?,
|
||||
}),
|
||||
|
|
|
|||
|
|
@ -4,6 +4,7 @@ use std::ops::RangeInclusive;
|
|||
use std::sync::Arc;
|
||||
use std::task::{Context, Poll};
|
||||
|
||||
use base64::prelude::*;
|
||||
use bytes::Bytes;
|
||||
use chrono::{DateTime, Duration, Utc};
|
||||
use futures::{Stream, StreamExt};
|
||||
|
|
@ -138,7 +139,9 @@ pub async fn handle_post_object(
|
|||
.get_existing_bucket(bucket_id)
|
||||
.await?;
|
||||
|
||||
let decoded_policy = base64::decode(&policy).ok_or_bad_request("Invalid policy")?;
|
||||
let decoded_policy = BASE64_STANDARD
|
||||
.decode(&policy)
|
||||
.ok_or_bad_request("Invalid policy")?;
|
||||
let decoded_policy: Policy =
|
||||
serde_json::from_slice(&decoded_policy).ok_or_bad_request("Invalid policy")?;
|
||||
|
||||
|
|
|
|||
|
|
@ -1,6 +1,7 @@
|
|||
use std::collections::{BTreeMap, BTreeSet, HashMap};
|
||||
use std::sync::Arc;
|
||||
|
||||
use base64::prelude::*;
|
||||
use futures::prelude::*;
|
||||
use hyper::body::{Body, Bytes};
|
||||
use hyper::header::{HeaderMap, HeaderValue};
|
||||
|
|
@ -207,7 +208,7 @@ fn ensure_checksum_matches(
|
|||
}
|
||||
}
|
||||
if let Some(expected_md5) = content_md5 {
|
||||
if expected_md5.trim_matches('"') != base64::encode(data_md5sum) {
|
||||
if expected_md5.trim_matches('"') != BASE64_STANDARD.encode(data_md5sum) {
|
||||
return Err(Error::bad_request("Unable to validate content-md5"));
|
||||
} else {
|
||||
trace!("Successfully validated content-md5");
|
||||
|
|
|
|||
|
|
@ -25,11 +25,11 @@ arc-swap = "1.5"
|
|||
async-trait = "0.1.7"
|
||||
bytes = "1.0"
|
||||
hex = "0.4"
|
||||
tracing = "0.1.30"
|
||||
tracing = "0.1"
|
||||
rand = "0.8"
|
||||
|
||||
async-compression = { version = "0.3", features = ["tokio", "zstd"] }
|
||||
zstd = { version = "0.9", default-features = false }
|
||||
zstd = { version = "0.12", default-features = false }
|
||||
|
||||
serde = { version = "1.0", default-features = false, features = ["derive", "rc"] }
|
||||
serde_bytes = "0.11"
|
||||
|
|
|
|||
|
|
@ -19,18 +19,18 @@ required-features = ["cli"]
|
|||
[dependencies]
|
||||
err-derive = "0.3"
|
||||
hexdump = "0.1"
|
||||
tracing = "0.1.30"
|
||||
tracing = "0.1"
|
||||
|
||||
heed = { version = "0.11", default-features = false, features = ["lmdb"], optional = true }
|
||||
rusqlite = { version = "0.27", optional = true }
|
||||
rusqlite = { version = "0.28", optional = true }
|
||||
sled = { version = "0.34", optional = true }
|
||||
|
||||
# cli deps
|
||||
clap = { version = "3.1.18", optional = true, features = ["derive", "env"] }
|
||||
clap = { version = "4.1", optional = true, features = ["derive", "env"] }
|
||||
pretty_env_logger = { version = "0.4", optional = true }
|
||||
|
||||
[dev-dependencies]
|
||||
mktemp = "0.4"
|
||||
mktemp = "0.5"
|
||||
|
||||
[features]
|
||||
default = [ "sled" ]
|
||||
|
|
|
|||
|
|
@ -33,10 +33,10 @@ garage_web = { version = "0.8.1", path = "../web" }
|
|||
backtrace = "0.3"
|
||||
bytes = "1.0"
|
||||
bytesize = "1.1"
|
||||
timeago = "0.3"
|
||||
timeago = "0.4"
|
||||
parse_duration = "2.1"
|
||||
hex = "0.4"
|
||||
tracing = { version = "0.1.30" }
|
||||
tracing = { version = "0.1" }
|
||||
tracing-subscriber = { version = "0.3", features = ["env-filter"] }
|
||||
rand = "0.8"
|
||||
async-trait = "0.1.7"
|
||||
|
|
@ -45,7 +45,7 @@ sodiumoxide = { version = "0.2.5-0", package = "kuska-sodiumoxide" }
|
|||
serde = { version = "1.0", default-features = false, features = ["derive", "rc"] }
|
||||
serde_bytes = "0.11"
|
||||
structopt = { version = "0.3", default-features = false }
|
||||
toml = "0.5"
|
||||
toml = "0.6"
|
||||
|
||||
futures = "0.3"
|
||||
futures-util = "0.3"
|
||||
|
|
@ -69,7 +69,7 @@ sha2 = "0.10"
|
|||
static_init = "1.0"
|
||||
assert-json-diff = "2.0"
|
||||
serde_json = "1.0"
|
||||
base64 = "0.13"
|
||||
base64 = "0.21"
|
||||
|
||||
|
||||
[features]
|
||||
|
|
|
|||
|
|
@ -15,6 +15,7 @@ use garage_util::time::*;
|
|||
use garage_table::replication::*;
|
||||
use garage_table::*;
|
||||
|
||||
use garage_rpc::ring::PARTITION_BITS;
|
||||
use garage_rpc::*;
|
||||
|
||||
use garage_block::manager::BlockResyncErrorInfo;
|
||||
|
|
@ -783,6 +784,7 @@ impl AdminRpcHandler {
|
|||
for node in ring.layout.node_ids().iter() {
|
||||
let mut opt = opt.clone();
|
||||
opt.all_nodes = false;
|
||||
opt.skip_global = true;
|
||||
|
||||
writeln!(&mut ret, "\n======================").unwrap();
|
||||
writeln!(&mut ret, "Stats for node {:?}:", node).unwrap();
|
||||
|
|
@ -799,6 +801,15 @@ impl AdminRpcHandler {
|
|||
Err(e) => writeln!(&mut ret, "Network error: {}", e).unwrap(),
|
||||
}
|
||||
}
|
||||
|
||||
writeln!(&mut ret, "\n======================").unwrap();
|
||||
write!(
|
||||
&mut ret,
|
||||
"Cluster statistics:\n\n{}",
|
||||
self.gather_cluster_stats()
|
||||
)
|
||||
.unwrap();
|
||||
|
||||
Ok(AdminRpc::Ok(ret))
|
||||
} else {
|
||||
Ok(AdminRpc::Ok(self.gather_stats_local(opt)?))
|
||||
|
|
@ -819,22 +830,6 @@ impl AdminRpcHandler {
|
|||
|
||||
writeln!(&mut ret, "\nDatabase engine: {}", self.garage.db.engine()).unwrap();
|
||||
|
||||
// Gather ring statistics
|
||||
let ring = self.garage.system.ring.borrow().clone();
|
||||
let mut ring_nodes = HashMap::new();
|
||||
for (_i, loc) in ring.partitions().iter() {
|
||||
for n in ring.get_nodes(loc, ring.replication_factor).iter() {
|
||||
if !ring_nodes.contains_key(n) {
|
||||
ring_nodes.insert(*n, 0usize);
|
||||
}
|
||||
*ring_nodes.get_mut(n).unwrap() += 1;
|
||||
}
|
||||
}
|
||||
writeln!(&mut ret, "\nRing nodes & partition count:").unwrap();
|
||||
for (n, c) in ring_nodes.iter() {
|
||||
writeln!(&mut ret, " {:?} {}", n, c).unwrap();
|
||||
}
|
||||
|
||||
// Gather table statistics
|
||||
let mut table = vec![" Table\tItems\tMklItems\tMklTodo\tGcTodo".into()];
|
||||
table.push(self.gather_table_stats(&self.garage.bucket_table, opt.detailed)?);
|
||||
|
|
@ -881,12 +876,108 @@ impl AdminRpcHandler {
|
|||
.unwrap();
|
||||
|
||||
if !opt.detailed {
|
||||
writeln!(&mut ret, "\nIf values are missing (marked as NC), consider adding the --detailed flag - this will be slow.").unwrap();
|
||||
writeln!(&mut ret, "\nIf values are missing above (marked as NC), consider adding the --detailed flag (this will be slow).").unwrap();
|
||||
}
|
||||
|
||||
if !opt.skip_global {
|
||||
write!(&mut ret, "\n{}", self.gather_cluster_stats()).unwrap();
|
||||
}
|
||||
|
||||
Ok(ret)
|
||||
}
|
||||
|
||||
fn gather_cluster_stats(&self) -> String {
|
||||
let mut ret = String::new();
|
||||
|
||||
// Gather storage node and free space statistics
|
||||
let layout = &self.garage.system.ring.borrow().layout;
|
||||
let mut node_partition_count = HashMap::<Uuid, u64>::new();
|
||||
for short_id in layout.ring_assignation_data.iter() {
|
||||
let id = layout.node_id_vec[*short_id as usize];
|
||||
*node_partition_count.entry(id).or_default() += 1;
|
||||
}
|
||||
let node_info = self
|
||||
.garage
|
||||
.system
|
||||
.get_known_nodes()
|
||||
.into_iter()
|
||||
.map(|n| (n.id, n))
|
||||
.collect::<HashMap<_, _>>();
|
||||
|
||||
let mut table = vec![" ID\tHostname\tZone\tCapacity\tPart.\tDataAvail\tMetaAvail".into()];
|
||||
for (id, parts) in node_partition_count.iter() {
|
||||
let info = node_info.get(id);
|
||||
let status = info.map(|x| &x.status);
|
||||
let role = layout.roles.get(id).and_then(|x| x.0.as_ref());
|
||||
let hostname = status.map(|x| x.hostname.as_str()).unwrap_or("?");
|
||||
let zone = role.map(|x| x.zone.as_str()).unwrap_or("?");
|
||||
let capacity = role.map(|x| x.capacity_string()).unwrap_or("?".into());
|
||||
let avail_str = |x| match x {
|
||||
Some((avail, total)) => {
|
||||
let pct = (avail as f64) / (total as f64) * 100.;
|
||||
let avail = bytesize::ByteSize::b(avail);
|
||||
let total = bytesize::ByteSize::b(total);
|
||||
format!("{}/{} ({:.1}%)", avail, total, pct)
|
||||
}
|
||||
None => "?".into(),
|
||||
};
|
||||
let data_avail = avail_str(status.and_then(|x| x.data_disk_avail));
|
||||
let meta_avail = avail_str(status.and_then(|x| x.meta_disk_avail));
|
||||
table.push(format!(
|
||||
" {:?}\t{}\t{}\t{}\t{}\t{}\t{}",
|
||||
id, hostname, zone, capacity, parts, data_avail, meta_avail
|
||||
));
|
||||
}
|
||||
write!(
|
||||
&mut ret,
|
||||
"Storage nodes:\n{}",
|
||||
format_table_to_string(table)
|
||||
)
|
||||
.unwrap();
|
||||
|
||||
let meta_part_avail = node_partition_count
|
||||
.iter()
|
||||
.filter_map(|(id, parts)| {
|
||||
node_info
|
||||
.get(id)
|
||||
.and_then(|x| x.status.meta_disk_avail)
|
||||
.map(|c| c.0 / *parts)
|
||||
})
|
||||
.collect::<Vec<_>>();
|
||||
let data_part_avail = node_partition_count
|
||||
.iter()
|
||||
.filter_map(|(id, parts)| {
|
||||
node_info
|
||||
.get(id)
|
||||
.and_then(|x| x.status.data_disk_avail)
|
||||
.map(|c| c.0 / *parts)
|
||||
})
|
||||
.collect::<Vec<_>>();
|
||||
if !meta_part_avail.is_empty() && !data_part_avail.is_empty() {
|
||||
let meta_avail =
|
||||
bytesize::ByteSize(meta_part_avail.iter().min().unwrap() * (1 << PARTITION_BITS));
|
||||
let data_avail =
|
||||
bytesize::ByteSize(data_part_avail.iter().min().unwrap() * (1 << PARTITION_BITS));
|
||||
writeln!(
|
||||
&mut ret,
|
||||
"\nEstimated available storage space cluster-wide (might be lower in practice):"
|
||||
)
|
||||
.unwrap();
|
||||
if meta_part_avail.len() < node_partition_count.len()
|
||||
|| data_part_avail.len() < node_partition_count.len()
|
||||
{
|
||||
writeln!(&mut ret, " data: < {}", data_avail).unwrap();
|
||||
writeln!(&mut ret, " metadata: < {}", meta_avail).unwrap();
|
||||
writeln!(&mut ret, "A precise estimate could not be given as information is missing for some storage nodes.").unwrap();
|
||||
} else {
|
||||
writeln!(&mut ret, " data: {}", data_avail).unwrap();
|
||||
writeln!(&mut ret, " metadata: {}", meta_avail).unwrap();
|
||||
}
|
||||
}
|
||||
|
||||
ret
|
||||
}
|
||||
|
||||
fn gather_table_stats<F, R>(
|
||||
&self,
|
||||
t: &Arc<Table<F, R>>,
|
||||
|
|
|
|||
|
|
@ -59,18 +59,29 @@ pub async fn cmd_status(rpc_cli: &Endpoint<SystemRpc, ()>, rpc_host: NodeID) ->
|
|||
let layout = fetch_layout(rpc_cli, rpc_host).await?;
|
||||
|
||||
println!("==== HEALTHY NODES ====");
|
||||
let mut healthy_nodes = vec!["ID\tHostname\tAddress\tTags\tZone\tCapacity".to_string()];
|
||||
let mut healthy_nodes =
|
||||
vec!["ID\tHostname\tAddress\tTags\tZone\tCapacity\tDataAvail\tMetaAvail".to_string()];
|
||||
for adv in status.iter().filter(|adv| adv.is_up) {
|
||||
match layout.roles.get(&adv.id) {
|
||||
Some(NodeRoleV(Some(cfg))) => {
|
||||
let data_avail = match &adv.status.data_disk_avail {
|
||||
_ if cfg.capacity.is_none() => "N/A".into(),
|
||||
Some((avail, total)) => {
|
||||
let pct = (*avail as f64) / (*total as f64) * 100.;
|
||||
let avail = bytesize::ByteSize::b(*avail);
|
||||
format!("{} ({:.1}%)", avail, pct)
|
||||
}
|
||||
None => "?".into(),
|
||||
};
|
||||
healthy_nodes.push(format!(
|
||||
"{id:?}\t{host}\t{addr}\t[{tags}]\t{zone}\t{capacity}",
|
||||
"{id:?}\t{host}\t{addr}\t[{tags}]\t{zone}\t{capacity}\t{data_avail}",
|
||||
id = adv.id,
|
||||
host = adv.status.hostname,
|
||||
addr = adv.addr,
|
||||
tags = cfg.tags.join(","),
|
||||
zone = cfg.zone,
|
||||
capacity = cfg.capacity_string(),
|
||||
data_avail = data_avail,
|
||||
));
|
||||
}
|
||||
_ => {
|
||||
|
|
|
|||
Some files were not shown because too many files have changed in this diff Show more
Loading…
Reference in a new issue