mirror of
https://gitlab.com/Anson-Projects/projects.git
synced 2025-09-19 03:52:37 +00:00
Compare commits
6 Commits
datascienc
...
brachistoc
Author | SHA1 | Date | |
---|---|---|---|
7cd96f1997 | |||
51c03d9213 | |||
609d4064a9 | |||
388adf4a02 | |||
590f8cb106 | |||
10083ec81c |
2
.gitignore
vendored
2
.gitignore
vendored
@@ -1,4 +1,3 @@
|
||||
_freeze/
|
||||
_site/
|
||||
public/
|
||||
ghost-upload/target/
|
||||
@@ -7,3 +6,4 @@ posts/*/\.jupyter_cache/
|
||||
!/.quarto/_freeze/
|
||||
!/.quarto/_freeze/*
|
||||
/.quarto/
|
||||
**/.DS_Store
|
||||
|
@@ -1,19 +1,16 @@
|
||||
build:
|
||||
stage: build
|
||||
image:
|
||||
name: gcr.io/kaniko-project/executor:v1.21.0-debug
|
||||
name: gcr.io/kaniko-project/executor:v1.23.2-debug
|
||||
entrypoint: [""]
|
||||
script:
|
||||
- /kaniko/executor
|
||||
--context "${CI_PROJECT_DIR}"
|
||||
--dockerfile "${CI_PROJECT_DIR}/Dockerfile"
|
||||
--destination "${CI_REGISTRY_IMAGE}:${CI_COMMIT_BRANCH}"
|
||||
--destination "${CI_REGISTRY_IMAGE}:latest"
|
||||
--cleanup
|
||||
|
||||
staging:
|
||||
cache:
|
||||
paths:
|
||||
- _freeze
|
||||
stage: deploy
|
||||
image: ${CI_REGISTRY_IMAGE}:${CI_COMMIT_BRANCH}
|
||||
script:
|
||||
|
File diff suppressed because one or more lines are too long
File diff suppressed because one or more lines are too long
File diff suppressed because one or more lines are too long
15
Dockerfile
15
Dockerfile
@@ -1,11 +1,12 @@
|
||||
FROM ubuntu:22.04
|
||||
FROM debian:bookworm
|
||||
|
||||
ARG DEBIAN_FRONTEND=noninteractive
|
||||
|
||||
ENV JULIA_VERSION=1.11.1 \
|
||||
ENV JULIA_VERSION=1.11.5 \
|
||||
JULIA_MAJOR_VERSION=1.11 \
|
||||
JULIA_PATH=/usr/local/julia \
|
||||
QUARTO_VERSION=1.6.37
|
||||
JULIA_PATH=/usr/local/julia
|
||||
|
||||
ENV QUARTO_VERSION=1.7.31
|
||||
|
||||
RUN apt-get update && apt-get install -y --no-install-recommends \
|
||||
apt-utils dialog \
|
||||
@@ -13,19 +14,19 @@ RUN apt-get update && apt-get install -y --no-install-recommends \
|
||||
python3 python3-pip python3-dev \
|
||||
r-base \
|
||||
gcc g++ \
|
||||
wget curl tar \
|
||||
curl tar \
|
||||
openssh-client \
|
||||
&& rm -rf /var/lib/apt/lists/*
|
||||
|
||||
# Use a RUN command for architecture detection and conditional logic
|
||||
RUN wget https://github.com/quarto-dev/quarto-cli/releases/download/v${QUARTO_VERSION}/quarto-${QUARTO_VERSION}-linux-$(if [ "$(uname -m)" = "x86_64" ]; then echo "amd64"; else echo "arm64"; fi).tar.gz -O quarto.tar.gz \
|
||||
RUN curl -fsSL "https://github.com/quarto-dev/quarto-cli/releases/download/v${QUARTO_VERSION}/quarto-${QUARTO_VERSION}-linux-$(if [ "$(uname -m)" = "x86_64" ]; then echo "amd64"; else echo "arm64"; fi).tar.gz" -o quarto.tar.gz \
|
||||
&& tar -xzf quarto.tar.gz -C /opt \
|
||||
&& mkdir -p /opt/quarto \
|
||||
&& mv /opt/quarto-${QUARTO_VERSION}/* /opt/quarto/ \
|
||||
&& ln -s /opt/quarto/bin/quarto /usr/local/bin/quarto \
|
||||
&& rm -rf quarto.tar.gz /opt/quarto-${QUARTO_VERSION}
|
||||
|
||||
RUN python3 -m pip install jupyter webio_jupyter_extension jupyter-cache
|
||||
RUN python3 -m pip install --break-system-packages jupyter webio_jupyter_extension jupyter-cache
|
||||
|
||||
RUN curl -fsSL "https://julialang-s3.julialang.org/bin/linux/$(if [ "$(uname -m)" = "x86_64" ]; then echo "x64"; else echo "aarch64"; fi)/${JULIA_MAJOR_VERSION}/julia-${JULIA_VERSION}-linux-$(if [ "$(uname -m)" = "x86_64" ]; then echo "x86_64"; else echo "aarch64"; fi).tar.gz" -o julia.tar.gz \
|
||||
&& tar -xzf julia.tar.gz -C /tmp \
|
||||
|
2711
Manifest.toml
2711
Manifest.toml
File diff suppressed because it is too large
Load Diff
11
Project.toml
11
Project.toml
@@ -1,20 +1,9 @@
|
||||
[deps]
|
||||
CSV = "336ed68f-0bac-5ca0-87d4-7b16caf5d00b"
|
||||
Colors = "5ae59095-9a9b-59fe-a467-6f913c188581"
|
||||
Conda = "8f4d0f93-b110-5947-807f-2305c1781a2d"
|
||||
DataFrames = "a93c6f00-e57d-5684-b7b6-d8193f3e46c0"
|
||||
DifferentialEquations = "0c46a032-eb83-5123-abaf-570d42b7fbaa"
|
||||
GR_jll = "d2c73de3-f751-5644-a686-071e5b155ba9"
|
||||
IJulia = "7073ff75-c697-5162-941a-fcdaad2a7d2a"
|
||||
LinearAlgebra = "37e2e46d-f89d-539d-b4ee-838fcccc9c8e"
|
||||
Measurements = "eff96d63-e80a-5855-80a2-b1b0885c5ab7"
|
||||
Optim = "429524aa-4258-5aef-a3af-852621145aeb"
|
||||
PlotlyJS = "f0f68f2c-4968-5e81-91da-67840de0976a"
|
||||
Plots = "91a5bcdd-55d7-5caf-9e0b-520d859cae80"
|
||||
Pluto = "c3e4b0f8-55cb-11ea-2926-15256bba5781"
|
||||
Revise = "295af30f-e4ad-537b-8983-00126c2a3abe"
|
||||
SatelliteToolbox = "6ac157d9-b43d-51bb-8fab-48bf53814f4a"
|
||||
Unitful = "1986cc42-f94f-5a68-af5c-568840ba703d"
|
||||
|
||||
[compat]
|
||||
julia = "1.11"
|
||||
|
File diff suppressed because one or more lines are too long
File diff suppressed because one or more lines are too long
File diff suppressed because one or more lines are too long
7
_freeze/site_libs/clipboard/clipboard.min.js
vendored
Normal file
7
_freeze/site_libs/clipboard/clipboard.min.js
vendored
Normal file
File diff suppressed because one or more lines are too long
2
_freeze/site_libs/quarto-listing/list.min.js
vendored
Normal file
2
_freeze/site_libs/quarto-listing/list.min.js
vendored
Normal file
File diff suppressed because one or more lines are too long
253
_freeze/site_libs/quarto-listing/quarto-listing.js
Normal file
253
_freeze/site_libs/quarto-listing/quarto-listing.js
Normal file
@@ -0,0 +1,253 @@
|
||||
const kProgressiveAttr = "data-src";
|
||||
let categoriesLoaded = false;
|
||||
|
||||
window.quartoListingCategory = (category) => {
|
||||
category = atob(category);
|
||||
if (categoriesLoaded) {
|
||||
activateCategory(category);
|
||||
setCategoryHash(category);
|
||||
}
|
||||
};
|
||||
|
||||
window["quarto-listing-loaded"] = () => {
|
||||
// Process any existing hash
|
||||
const hash = getHash();
|
||||
|
||||
if (hash) {
|
||||
// If there is a category, switch to that
|
||||
if (hash.category) {
|
||||
// category hash are URI encoded so we need to decode it before processing
|
||||
// so that we can match it with the category element processed in JS
|
||||
activateCategory(decodeURIComponent(hash.category));
|
||||
}
|
||||
// Paginate a specific listing
|
||||
const listingIds = Object.keys(window["quarto-listings"]);
|
||||
for (const listingId of listingIds) {
|
||||
const page = hash[getListingPageKey(listingId)];
|
||||
if (page) {
|
||||
showPage(listingId, page);
|
||||
}
|
||||
}
|
||||
}
|
||||
|
||||
const listingIds = Object.keys(window["quarto-listings"]);
|
||||
for (const listingId of listingIds) {
|
||||
// The actual list
|
||||
const list = window["quarto-listings"][listingId];
|
||||
|
||||
// Update the handlers for pagination events
|
||||
refreshPaginationHandlers(listingId);
|
||||
|
||||
// Render any visible items that need it
|
||||
renderVisibleProgressiveImages(list);
|
||||
|
||||
// Whenever the list is updated, we also need to
|
||||
// attach handlers to the new pagination elements
|
||||
// and refresh any newly visible items.
|
||||
list.on("updated", function () {
|
||||
renderVisibleProgressiveImages(list);
|
||||
setTimeout(() => refreshPaginationHandlers(listingId));
|
||||
|
||||
// Show or hide the no matching message
|
||||
toggleNoMatchingMessage(list);
|
||||
});
|
||||
}
|
||||
};
|
||||
|
||||
window.document.addEventListener("DOMContentLoaded", function (_event) {
|
||||
// Attach click handlers to categories
|
||||
const categoryEls = window.document.querySelectorAll(
|
||||
".quarto-listing-category .category"
|
||||
);
|
||||
|
||||
for (const categoryEl of categoryEls) {
|
||||
// category needs to support non ASCII characters
|
||||
const category = decodeURIComponent(
|
||||
atob(categoryEl.getAttribute("data-category"))
|
||||
);
|
||||
categoryEl.onclick = () => {
|
||||
activateCategory(category);
|
||||
setCategoryHash(category);
|
||||
};
|
||||
}
|
||||
|
||||
// Attach a click handler to the category title
|
||||
// (there should be only one, but since it is a class name, handle N)
|
||||
const categoryTitleEls = window.document.querySelectorAll(
|
||||
".quarto-listing-category-title"
|
||||
);
|
||||
for (const categoryTitleEl of categoryTitleEls) {
|
||||
categoryTitleEl.onclick = () => {
|
||||
activateCategory("");
|
||||
setCategoryHash("");
|
||||
};
|
||||
}
|
||||
|
||||
categoriesLoaded = true;
|
||||
});
|
||||
|
||||
function toggleNoMatchingMessage(list) {
|
||||
const selector = `#${list.listContainer.id} .listing-no-matching`;
|
||||
const noMatchingEl = window.document.querySelector(selector);
|
||||
if (noMatchingEl) {
|
||||
if (list.visibleItems.length === 0) {
|
||||
noMatchingEl.classList.remove("d-none");
|
||||
} else {
|
||||
if (!noMatchingEl.classList.contains("d-none")) {
|
||||
noMatchingEl.classList.add("d-none");
|
||||
}
|
||||
}
|
||||
}
|
||||
}
|
||||
|
||||
function setCategoryHash(category) {
|
||||
setHash({ category });
|
||||
}
|
||||
|
||||
function setPageHash(listingId, page) {
|
||||
const currentHash = getHash() || {};
|
||||
currentHash[getListingPageKey(listingId)] = page;
|
||||
setHash(currentHash);
|
||||
}
|
||||
|
||||
function getListingPageKey(listingId) {
|
||||
return `${listingId}-page`;
|
||||
}
|
||||
|
||||
function refreshPaginationHandlers(listingId) {
|
||||
const listingEl = window.document.getElementById(listingId);
|
||||
const paginationEls = listingEl.querySelectorAll(
|
||||
".pagination li.page-item:not(.disabled) .page.page-link"
|
||||
);
|
||||
for (const paginationEl of paginationEls) {
|
||||
paginationEl.onclick = (sender) => {
|
||||
setPageHash(listingId, sender.target.getAttribute("data-i"));
|
||||
showPage(listingId, sender.target.getAttribute("data-i"));
|
||||
return false;
|
||||
};
|
||||
}
|
||||
}
|
||||
|
||||
function renderVisibleProgressiveImages(list) {
|
||||
// Run through the visible items and render any progressive images
|
||||
for (const item of list.visibleItems) {
|
||||
const itemEl = item.elm;
|
||||
if (itemEl) {
|
||||
const progressiveImgs = itemEl.querySelectorAll(
|
||||
`img[${kProgressiveAttr}]`
|
||||
);
|
||||
for (const progressiveImg of progressiveImgs) {
|
||||
const srcValue = progressiveImg.getAttribute(kProgressiveAttr);
|
||||
if (srcValue) {
|
||||
progressiveImg.setAttribute("src", srcValue);
|
||||
}
|
||||
progressiveImg.removeAttribute(kProgressiveAttr);
|
||||
}
|
||||
}
|
||||
}
|
||||
}
|
||||
|
||||
function getHash() {
|
||||
// Hashes are of the form
|
||||
// #name:value|name1:value1|name2:value2
|
||||
const currentUrl = new URL(window.location);
|
||||
const hashRaw = currentUrl.hash ? currentUrl.hash.slice(1) : undefined;
|
||||
return parseHash(hashRaw);
|
||||
}
|
||||
|
||||
const kAnd = "&";
|
||||
const kEquals = "=";
|
||||
|
||||
function parseHash(hash) {
|
||||
if (!hash) {
|
||||
return undefined;
|
||||
}
|
||||
const hasValuesStrs = hash.split(kAnd);
|
||||
const hashValues = hasValuesStrs
|
||||
.map((hashValueStr) => {
|
||||
const vals = hashValueStr.split(kEquals);
|
||||
if (vals.length === 2) {
|
||||
return { name: vals[0], value: vals[1] };
|
||||
} else {
|
||||
return undefined;
|
||||
}
|
||||
})
|
||||
.filter((value) => {
|
||||
return value !== undefined;
|
||||
});
|
||||
|
||||
const hashObj = {};
|
||||
hashValues.forEach((hashValue) => {
|
||||
hashObj[hashValue.name] = decodeURIComponent(hashValue.value);
|
||||
});
|
||||
return hashObj;
|
||||
}
|
||||
|
||||
function makeHash(obj) {
|
||||
return Object.keys(obj)
|
||||
.map((key) => {
|
||||
return `${key}${kEquals}${obj[key]}`;
|
||||
})
|
||||
.join(kAnd);
|
||||
}
|
||||
|
||||
function setHash(obj) {
|
||||
const hash = makeHash(obj);
|
||||
window.history.pushState(null, null, `#${hash}`);
|
||||
}
|
||||
|
||||
function showPage(listingId, page) {
|
||||
const list = window["quarto-listings"][listingId];
|
||||
if (list) {
|
||||
list.show((page - 1) * list.page + 1, list.page);
|
||||
}
|
||||
}
|
||||
|
||||
function activateCategory(category) {
|
||||
// Deactivate existing categories
|
||||
const activeEls = window.document.querySelectorAll(
|
||||
".quarto-listing-category .category.active"
|
||||
);
|
||||
for (const activeEl of activeEls) {
|
||||
activeEl.classList.remove("active");
|
||||
}
|
||||
|
||||
// Activate this category
|
||||
const categoryEl = window.document.querySelector(
|
||||
`.quarto-listing-category .category[data-category='${btoa(
|
||||
encodeURIComponent(category)
|
||||
)}']`
|
||||
);
|
||||
if (categoryEl) {
|
||||
categoryEl.classList.add("active");
|
||||
}
|
||||
|
||||
// Filter the listings to this category
|
||||
filterListingCategory(category);
|
||||
}
|
||||
|
||||
function filterListingCategory(category) {
|
||||
const listingIds = Object.keys(window["quarto-listings"]);
|
||||
for (const listingId of listingIds) {
|
||||
const list = window["quarto-listings"][listingId];
|
||||
if (list) {
|
||||
if (category === "") {
|
||||
// resets the filter
|
||||
list.filter();
|
||||
} else {
|
||||
// filter to this category
|
||||
list.filter(function (item) {
|
||||
const itemValues = item.values();
|
||||
if (itemValues.categories !== null) {
|
||||
const categories = decodeURIComponent(
|
||||
atob(itemValues.categories)
|
||||
).split(",");
|
||||
return categories.includes(category);
|
||||
} else {
|
||||
return false;
|
||||
}
|
||||
});
|
||||
}
|
||||
}
|
||||
}
|
||||
}
|
BIN
posts/.DS_Store
vendored
BIN
posts/.DS_Store
vendored
Binary file not shown.
Binary file not shown.
155
posts/2025-05-10-double-pendulum-redux/index.qmd
Normal file
155
posts/2025-05-10-double-pendulum-redux/index.qmd
Normal file
@@ -0,0 +1,155 @@
|
||||
---
|
||||
title: "Double Pendulum"
|
||||
description: |
|
||||
Lets create a double pendulum in Observable JS!
|
||||
date: 2025-05-09
|
||||
categories:
|
||||
- Observable JS
|
||||
- Code
|
||||
- Math
|
||||
draft: false
|
||||
freeze: true
|
||||
image: FeistyCompetentGarpike-mobile.mp4
|
||||
image-alt: "My original Double Pendulum done in Python and Processing.js"
|
||||
---
|
||||
|
||||
Quarto (which this blog is built on) recently added support for [Observable JS](https://observablehq.com/@observablehq/observable-javascript), which lets you make really cool interactive and animated visualizations. I have an odd fixation with finding new tools to visualize data, and while JS is far from the first tool I want to grab I figure I should give OJS a shot. Web browsers have been the best way to distribute and share applications for a long time now so I think its time that I invest some time to learn something better than a plotly diagram or jupyter notebook saved as a pdf to share data.
|
||||
|
||||
{fig-alt="My original Double Pendulum done in Python and Processing.js"}
|
||||
|
||||
Many years ago I hit the front page the [/r/python](https://www.reddit.com/r/Python/comments/ci1cg4/double_pendulum_made_with_processingpy/) with a double pendulum I made after watching the wonderful [Daniel Shiffman](https://thecodingtrain.com/showcase/author/anson-biggs) of the Coding Train. The video was posted on gfycat which is now defunct but the internet archive has saved it: [https://web.archive.org/web/20201108021323/https://gfycat.com/feistycompetentgarpike-daniel-shiffman-double-pendulum-coding-train](https://web.archive.org/web/20201108021323/https://gfycat.com/feistycompetentgarpike-daniel-shiffman-double-pendulum-coding-train)
|
||||
|
||||
I originally used Processing's Python bindings to make the animation. So, a lot of the hard work was done (mostly by Daniel), and this animation seems to be a crowd pleaser so I went ahead and ported it over. Keeping the code hidden since its not the focus here, but feel free to expand it and peruse.
|
||||
|
||||
|
||||
```{ojs}
|
||||
//| echo: false
|
||||
|
||||
// Interactive controls
|
||||
viewof length1 = Inputs.range([50, 300], {step: 10, value: 200, label: "Length of pendulum 1"})
|
||||
viewof length2 = Inputs.range([50, 300], {step: 10, value: 200, label: "Length of pendulum 2"})
|
||||
viewof mass1 = Inputs.range([10, 100], {step: 5, value: 40, label: "Mass of pendulum 1"})
|
||||
viewof mass2 = Inputs.range([10, 100], {step: 5, value: 40, label: "Mass of pendulum 2"})
|
||||
|
||||
```
|
||||
|
||||
|
||||
|
||||
```{ojs}
|
||||
//| code-fold: true
|
||||
//| column: page
|
||||
|
||||
pendulum = {
|
||||
const width = 900;
|
||||
const height = 600;
|
||||
const canvas = DOM.canvas(width, height);
|
||||
const ctx = canvas.getContext("2d");
|
||||
const gravity = .1;
|
||||
const traceCanvas = DOM.canvas(width, height);
|
||||
const traceCtx = traceCanvas.getContext("2d");
|
||||
traceCtx.fillStyle = "white";
|
||||
traceCtx.fillRect(0, 0, width, height);
|
||||
|
||||
const centerX = width / 2;
|
||||
const centerY = 200;
|
||||
|
||||
// State variables
|
||||
let angle1 = Math.PI / 2;
|
||||
let angle2 = Math.PI / 2;
|
||||
let angularVelocity1 = 0;
|
||||
let angularVelocity2 = 0;
|
||||
let previousPosition2X = -1;
|
||||
let previousPosition2Y = -1;
|
||||
|
||||
|
||||
function animate() {
|
||||
// Physics calculations (same equations as Python)
|
||||
let numerator1Part1 = -gravity * (2 * mass1 + mass2) * Math.sin(angle1);
|
||||
let numerator1Part2 = -mass2 * gravity * Math.sin(angle1 - 2 * angle2);
|
||||
let numerator1Part3 = -2 * Math.sin(angle1 - angle2) * mass2;
|
||||
let numerator1Part4 = angularVelocity2 * angularVelocity2 * length2 +
|
||||
angularVelocity1 * angularVelocity1 * length1 * Math.cos(angle1 - angle2);
|
||||
let denominator1 = length1 * (2 * mass1 + mass2 - mass2 * Math.cos(2 * angle1 - 2 * angle2));
|
||||
let angularAcceleration1 = (numerator1Part1 + numerator1Part2 + numerator1Part3 * numerator1Part4) / denominator1;
|
||||
|
||||
let numerator2Part1 = 2 * Math.sin(angle1 - angle2);
|
||||
let numerator2Part2 = angularVelocity1 * angularVelocity1 * length1 * (mass1 + mass2);
|
||||
let numerator2Part3 = gravity * (mass1 + mass2) * Math.cos(angle1);
|
||||
let numerator2Part4 = angularVelocity2 * angularVelocity2 * length2 * mass2 * Math.cos(angle1 - angle2);
|
||||
let denominator2 = length2 * (2 * mass1 + mass2 - mass2 * Math.cos(2 * angle1 - 2 * angle2));
|
||||
let angularAcceleration2 = (numerator2Part1 * (numerator2Part2 + numerator2Part3 + numerator2Part4)) / denominator2;
|
||||
|
||||
// Update velocities and angles
|
||||
angularVelocity1 += angularAcceleration1;
|
||||
angularVelocity2 += angularAcceleration2;
|
||||
angle1 += angularVelocity1;
|
||||
angle2 += angularVelocity2;
|
||||
|
||||
// Calculate positions
|
||||
let position1X = length1 * Math.sin(angle1);
|
||||
let position1Y = length1 * Math.cos(angle1);
|
||||
let position2X = position1X + length2 * Math.sin(angle2);
|
||||
let position2Y = position1Y + length2 * Math.cos(angle2);
|
||||
|
||||
// Clear and draw to canvas
|
||||
ctx.fillStyle = "white";
|
||||
ctx.fillRect(0, 0, width, height);
|
||||
ctx.drawImage(traceCanvas, 0, 0);
|
||||
|
||||
// Draw pendulum
|
||||
ctx.save();
|
||||
ctx.translate(centerX, centerY);
|
||||
|
||||
// First arm and mass
|
||||
ctx.beginPath();
|
||||
ctx.moveTo(0, 0);
|
||||
ctx.lineTo(position1X, position1Y);
|
||||
ctx.strokeStyle = "black";
|
||||
ctx.lineWidth = 2;
|
||||
ctx.stroke();
|
||||
|
||||
ctx.beginPath();
|
||||
ctx.arc(position1X, position1Y, mass1/2, 0, 2 * Math.PI);
|
||||
ctx.fillStyle = "black";
|
||||
ctx.fill();
|
||||
|
||||
// Second arm and mass
|
||||
ctx.beginPath();
|
||||
ctx.moveTo(position1X, position1Y);
|
||||
ctx.lineTo(position2X, position2Y);
|
||||
ctx.stroke();
|
||||
|
||||
ctx.beginPath();
|
||||
ctx.arc(position2X, position2Y, mass2/2, 0, 2 * Math.PI);
|
||||
ctx.fill();
|
||||
|
||||
ctx.restore();
|
||||
|
||||
// Draw trace line
|
||||
if (previousPosition2X !== -1 && previousPosition2Y !== -1) {
|
||||
traceCtx.save();
|
||||
traceCtx.translate(centerX, centerY);
|
||||
traceCtx.beginPath();
|
||||
traceCtx.moveTo(previousPosition2X, previousPosition2Y);
|
||||
traceCtx.lineTo(position2X, position2Y);
|
||||
traceCtx.strokeStyle = "black";
|
||||
traceCtx.stroke();
|
||||
traceCtx.restore();
|
||||
}
|
||||
|
||||
previousPosition2X = position2X;
|
||||
previousPosition2Y = position2Y;
|
||||
|
||||
requestAnimationFrame(animate);
|
||||
}
|
||||
|
||||
animate();
|
||||
return canvas;
|
||||
}
|
||||
```
|
||||
|
||||
## Conclusion
|
||||
|
||||
I think this is far from an idiomatic implementation so I'll keep this brief. I don't think I used JS or Observable as well as I could have so treat this as a beginner stabbing into the dark because thats essentially what the code is.
|
||||
|
||||
This was quite a bit more work than the [original Python implementation](https://gitlab.com/MisterBiggs/double_pendulum/blob/master/double_pendulum.pyde), but running real time, having beaufitul defaults, and being interactive without a backend make this leagues better than anything offered by any other language. There is definitely a loss of energy in the system over time that I attribute to Javascript being a mess, but I doubt that I would ever move all of my analysis to JS anyways so I don't think it matters. Its also very likely I'm doing something bad with my timesteps.
|
114
posts/2025-05-25-Brachistochrone/index.qmd
Normal file
114
posts/2025-05-25-Brachistochrone/index.qmd
Normal file
@@ -0,0 +1,114 @@
|
||||
---
|
||||
title: "Brachistochrone"
|
||||
description: |
|
||||
Lets create a double pendulum in Observable JS!
|
||||
date: 2025-05-09
|
||||
categories:
|
||||
- Observable JS
|
||||
- Code
|
||||
- Math
|
||||
---
|
||||
|
||||
This is a bunch of text This is a bunch of text This is a bunch of text This is a bunch of text This is a bunch of text This is a bunch of text This is a bunch of text This is a bunch of text This is a bunch of text This is a bunch of text This is a bunch of text
|
||||
|
||||
:::{.column-screen}
|
||||
```{ojs}
|
||||
//| echo: false
|
||||
|
||||
|
||||
viewof canvas = {
|
||||
const height = 500;
|
||||
const canvas = html`<canvas width=${width} height="${height}" style="border: 1px solid #ccc; cursor: crosshair;"></canvas>`;
|
||||
const ctx = canvas.getContext('2d');
|
||||
|
||||
let isDrawing = false;
|
||||
let lastX = 0;
|
||||
let lastY = 0;
|
||||
let pathLength = 0;
|
||||
let pathHistory = [{time: Date.now(), length: 0}];
|
||||
|
||||
// Drawing settings
|
||||
ctx.strokeStyle = '#000';
|
||||
ctx.lineWidth = 2;
|
||||
ctx.lineCap = 'round';
|
||||
ctx.lineJoin = 'round';
|
||||
|
||||
canvas.addEventListener('mousedown', (e) => {
|
||||
if (!isDrawing) {
|
||||
ctx.clearRect(0, 0, canvas.width, canvas.height);
|
||||
ctx.arc(300, 100, 5, 0, 2 * Math.PI);
|
||||
ctx.fillStyle = 'red';
|
||||
ctx.fill();
|
||||
ctx.arc(600, 300, 5, 0, 2 * Math.PI);
|
||||
ctx.fillStyle = 'red';
|
||||
ctx.fill();
|
||||
pathLength = 0;
|
||||
pathHistory = [{time: Date.now(), length: 0}];
|
||||
canvas.value = {length: pathLength, history: pathHistory};
|
||||
canvas.dispatchEvent(new CustomEvent("input"));
|
||||
}
|
||||
isDrawing = true;
|
||||
[lastX, lastY] = [e.offsetX, e.offsetY];
|
||||
});
|
||||
|
||||
canvas.addEventListener('mousemove', (e) => {
|
||||
if (!isDrawing) return;
|
||||
|
||||
// Calculate distance
|
||||
const distance = Math.sqrt(
|
||||
Math.pow(e.offsetX - lastX, 2) +
|
||||
Math.pow(e.offsetY - lastY, 2)
|
||||
);
|
||||
const angle = Math.atan2(e.offsetY - lastY, e.offsetX - lastX)
|
||||
pathLength += distance;
|
||||
|
||||
// Draw
|
||||
ctx.beginPath();
|
||||
ctx.moveTo(lastX, lastY);
|
||||
ctx.lineTo(e.offsetX, e.offsetY);
|
||||
ctx.stroke();
|
||||
[lastX, lastY] = [e.offsetX, e.offsetY];
|
||||
|
||||
// Update value and emit event
|
||||
pathHistory.push({time: Date.now(), length: pathLength});
|
||||
canvas.value = {length: pathLength, history: pathHistory};
|
||||
canvas.dispatchEvent(new CustomEvent("input"));
|
||||
});
|
||||
|
||||
canvas.addEventListener('mouseup', () => isDrawing = false);
|
||||
canvas.addEventListener('mouseout', () => isDrawing = false);
|
||||
|
||||
// Initial value
|
||||
canvas.value = {length: 0, history: pathHistory};
|
||||
return canvas;
|
||||
}
|
||||
|
||||
```
|
||||
|
||||
|
||||
```{ojs}
|
||||
//| echo: false
|
||||
md`Current path length: **${canvas.length?.toFixed(0) || 0} pixels**`
|
||||
```
|
||||
|
||||
```{ojs}
|
||||
//| echo: false
|
||||
import {Plot} from "@observablehq/plot"
|
||||
|
||||
pathChart = Plot.plot({
|
||||
width: width,
|
||||
height: 200,
|
||||
y: {label: "Path Length (pixels)"},
|
||||
x: {label: "Time", type: "time"},
|
||||
marks: [
|
||||
Plot.line(canvas.history || [], {
|
||||
x: "time",
|
||||
y: "length",
|
||||
stroke: "steelblue",
|
||||
strokeWidth: 2
|
||||
})
|
||||
]
|
||||
})
|
||||
```
|
||||
|
||||
This is a bunch of text This is a bunch of text This is a bunch of text This is a bunch of text This is a bunch of text This is a bunch of text This is a bunch of text This is a bunch of text This is a bunch of text This is a bunch of text This is a bunch of text
|
Reference in New Issue
Block a user