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cargo-exam
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48
README.md
48
README.md
@ -17,51 +17,3 @@ Note that currently this is just the barest beginnings of the project, more of a
|
||||
* Able to run in browser (so implemented in WASM-compatible language)
|
||||
|
||||
* Produce scalable graphics of 3D diagrams, and maybe STL files (or other fabricatable file format) as well.
|
||||
|
||||
## Prototype
|
||||
|
||||
The latest prototype is in the folder `app-proto`. It includes both a user interface and a numerical constraint-solving engine.
|
||||
|
||||
### Install the prerequisites
|
||||
|
||||
1. Install [`rustup`](https://rust-lang.github.io/rustup/): the officially recommended Rust toolchain manager
|
||||
* It's available on Ubuntu as a [Snap](https://snapcraft.io/rustup)
|
||||
2. Call `rustup default stable` to "download the latest stable release of Rust and set it as your default toolchain"
|
||||
* If you forget, the `rustup` [help system](https://github.com/rust-lang/rustup/blob/d9b3601c3feb2e88cf3f8ca4f7ab4fdad71441fd/src/errors.rs#L109-L112) will remind you
|
||||
3. Call `rustup target add wasm32-unknown-unknown` to add the [most generic 32-bit WebAssembly target](https://doc.rust-lang.org/nightly/rustc/platform-support/wasm32-unknown-unknown.html)
|
||||
4. Call `cargo install wasm-pack` to install the [WebAssembly toolchain](https://rustwasm.github.io/docs/wasm-pack/)
|
||||
5. Call `cargo install trunk` to install the [Trunk](https://trunkrs.dev/) web-build tool
|
||||
6. Add the `.cargo/bin` folder in your home directory to your executable search path
|
||||
* This lets you call Trunk, and other tools installed by Cargo, without specifying their paths
|
||||
* On POSIX systems, the search path is stored in the `PATH` environment variable
|
||||
|
||||
### Play with the prototype
|
||||
|
||||
1. Go into the `app-proto` folder
|
||||
2. Call `trunk serve --release` to build and serve the prototype
|
||||
* *The crates the prototype depends on will be downloaded and served automatically*
|
||||
* *For a faster build, at the expense of a much slower prototype, you can call `trunk serve` without the `--release` flag*
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||||
3. In a web browser, visit one of the URLs listed under the message `INFO 📡 server listening at:`
|
||||
* *Touching any file in the `app-proto` folder will make Trunk rebuild and live-reload the prototype*
|
||||
4. Press *ctrl+C* in the shell where Trunk is running to stop serving the prototype
|
||||
|
||||
### Run the engine on some example problems
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|
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1. Go into the `app-proto` folder
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2. Call `./run-examples`
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* *For each example problem, the engine will print the value of the loss function at each optimization step*
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* *The first example that prints is the same as the Irisawa hexlet example from the Julia version of the engine prototype. If you go into `engine-proto/gram-test`, launch Julia, and then*
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|
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```julia
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include("irisawa-hexlet.jl")
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for (step, scaled_loss) in enumerate(history_alt.scaled_loss)
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println(rpad(step-1, 4), " | ", scaled_loss)
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end
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```
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*you should see that it prints basically the same loss history until the last few steps, when the lower default precision of the Rust engine really starts to show*
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### Run the automated tests
|
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|
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1. Go into the `app-proto` folder
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2. Call `cargo test`
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@ -6,7 +6,7 @@ edition = "2021"
|
||||
|
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[features]
|
||||
default = ["console_error_panic_hook"]
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dev = []
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||||
irisawa = []
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||||
|
||||
[dependencies]
|
||||
itertools = "0.13.0"
|
||||
@ -26,7 +26,6 @@ console_error_panic_hook = { version = "0.1.7", optional = true }
|
||||
[dependencies.web-sys]
|
||||
version = "0.3.69"
|
||||
features = [
|
||||
'DomRect',
|
||||
'HtmlCanvasElement',
|
||||
'HtmlInputElement',
|
||||
'Performance',
|
||||
@ -43,7 +42,7 @@ features = [
|
||||
# https://github.com/rust-lang/cargo/issues/2911#issuecomment-1483256987
|
||||
#
|
||||
[dev-dependencies]
|
||||
dyna3 = { path = ".", default-features = false, features = ["dev"] }
|
||||
dyna3 = { path = ".", default-features = false, features = ["irisawa"] }
|
||||
wasm-bindgen-test = "0.3.34"
|
||||
|
||||
[profile.release]
|
||||
|
||||
@ -1,19 +1,7 @@
|
||||
:root {
|
||||
--text: #fcfcfc; /* almost white */
|
||||
--text-bright: white;
|
||||
--text-invalid: #f58fc2; /* bright pink */
|
||||
--border: #555; /* light gray */
|
||||
--border-focus: #aaa; /* bright gray */
|
||||
--border-invalid: #70495c; /* dusky pink */
|
||||
--selection-highlight: #444; /* medium gray */
|
||||
--page-background: #222; /* dark gray */
|
||||
--display-background: #020202; /* almost black */
|
||||
}
|
||||
|
||||
body {
|
||||
margin: 0px;
|
||||
color: var(--text);
|
||||
background-color: var(--page-background);
|
||||
color: #fcfcfc;
|
||||
background-color: #222;
|
||||
font-family: 'Fira Sans', sans-serif;
|
||||
}
|
||||
|
||||
@ -29,7 +17,7 @@ body {
|
||||
padding: 0px;
|
||||
border-width: 0px 1px 0px 0px;
|
||||
border-style: solid;
|
||||
border-color: var(--border);
|
||||
border-color: #555;
|
||||
}
|
||||
|
||||
/* add-remove */
|
||||
@ -47,10 +35,6 @@ body {
|
||||
}
|
||||
|
||||
/* KLUDGE */
|
||||
/*
|
||||
for convenience, we're using emoji as temporary icons for some buttons. these
|
||||
buttons need to be displayed in an emoji font
|
||||
*/
|
||||
#add-remove > button.emoji {
|
||||
font-family: 'Noto Emoji', sans-serif;
|
||||
}
|
||||
@ -73,49 +57,49 @@ summary {
|
||||
}
|
||||
|
||||
summary.selected {
|
||||
color: var(--text-bright);
|
||||
background-color: var(--selection-highlight);
|
||||
color: #fff;
|
||||
background-color: #444;
|
||||
}
|
||||
|
||||
summary > div, .constraint {
|
||||
summary > div, .cst {
|
||||
padding-top: 4px;
|
||||
padding-bottom: 4px;
|
||||
}
|
||||
|
||||
.element, .constraint {
|
||||
.elt, .cst {
|
||||
display: flex;
|
||||
flex-grow: 1;
|
||||
padding-left: 8px;
|
||||
padding-right: 8px;
|
||||
}
|
||||
|
||||
.element-switch {
|
||||
.elt-switch {
|
||||
width: 18px;
|
||||
padding-left: 2px;
|
||||
text-align: center;
|
||||
}
|
||||
|
||||
details:has(li) .element-switch::after {
|
||||
details:has(li) .elt-switch::after {
|
||||
content: '▸';
|
||||
}
|
||||
|
||||
details[open]:has(li) .element-switch::after {
|
||||
details[open]:has(li) .elt-switch::after {
|
||||
content: '▾';
|
||||
}
|
||||
|
||||
.element-label {
|
||||
.elt-label {
|
||||
flex-grow: 1;
|
||||
}
|
||||
|
||||
.constraint-label {
|
||||
.cst-label {
|
||||
flex-grow: 1;
|
||||
}
|
||||
|
||||
.element-representation {
|
||||
.elt-rep {
|
||||
display: flex;
|
||||
}
|
||||
|
||||
.element-representation > div {
|
||||
.elt-rep > div {
|
||||
padding: 2px 0px 0px 0px;
|
||||
font-size: 10pt;
|
||||
font-variant-numeric: tabular-nums;
|
||||
@ -123,27 +107,27 @@ details[open]:has(li) .element-switch::after {
|
||||
width: 56px;
|
||||
}
|
||||
|
||||
.constraint {
|
||||
.cst {
|
||||
font-style: italic;
|
||||
}
|
||||
|
||||
.constraint.invalid {
|
||||
color: var(--text-invalid);
|
||||
.cst.invalid {
|
||||
color: #f58fc2;
|
||||
}
|
||||
|
||||
.constraint > input[type=checkbox] {
|
||||
.cst > input[type=checkbox] {
|
||||
margin: 0px 8px 0px 0px;
|
||||
}
|
||||
|
||||
.constraint > input[type=text] {
|
||||
.cst > input[type=text] {
|
||||
color: inherit;
|
||||
background-color: inherit;
|
||||
border: 1px solid var(--border);
|
||||
border: 1px solid #555;
|
||||
border-radius: 2px;
|
||||
}
|
||||
|
||||
.constraint.invalid > input[type=text] {
|
||||
border-color: var(--border-invalid);
|
||||
.cst.invalid > input[type=text] {
|
||||
border-color: #70495c;
|
||||
}
|
||||
|
||||
.status {
|
||||
@ -156,7 +140,7 @@ details[open]:has(li) .element-switch::after {
|
||||
|
||||
.invalid > .status::after, details:has(.invalid):not([open]) .status::after {
|
||||
content: '⚠';
|
||||
color: var(--text-invalid);
|
||||
color: #f58fc2;
|
||||
}
|
||||
|
||||
/* display */
|
||||
@ -165,11 +149,11 @@ canvas {
|
||||
float: left;
|
||||
margin-left: 20px;
|
||||
margin-top: 20px;
|
||||
background-color: var(--display-background);
|
||||
border: 1px solid var(--border);
|
||||
background-color: #020202;
|
||||
border: 1px solid #555;
|
||||
border-radius: 16px;
|
||||
}
|
||||
|
||||
canvas:focus {
|
||||
border-color: var(--border-focus);
|
||||
border-color: #aaa;
|
||||
}
|
||||
@ -1,5 +1,3 @@
|
||||
#!/bin/sh
|
||||
|
||||
# run all Cargo examples, as described here:
|
||||
#
|
||||
# Karol Kuczmarski. "Add examples to your Rust libraries"
|
||||
@ -8,4 +6,4 @@
|
||||
|
||||
cargo run --example irisawa-hexlet
|
||||
cargo run --example three-spheres
|
||||
cargo run --example point-on-sphere
|
||||
cargo run --example point-on-sphere
|
||||
@ -4,8 +4,6 @@ use web_sys::{console, wasm_bindgen::JsValue};
|
||||
use crate::{engine, AppState, assembly::{Assembly, Constraint, Element}};
|
||||
|
||||
/* DEBUG */
|
||||
// load an example assembly for testing. this code will be removed once we've
|
||||
// built a more formal test assembly system
|
||||
fn load_gen_assemb(assembly: &Assembly) {
|
||||
let _ = assembly.try_insert_element(
|
||||
Element::new(
|
||||
@ -58,8 +56,6 @@ fn load_gen_assemb(assembly: &Assembly) {
|
||||
}
|
||||
|
||||
/* DEBUG */
|
||||
// load an example assembly for testing. this code will be removed once we've
|
||||
// built a more formal test assembly system
|
||||
fn load_low_curv_assemb(assembly: &Assembly) {
|
||||
let a = 0.75_f64.sqrt();
|
||||
let _ = assembly.try_insert_element(
|
||||
@ -177,27 +173,27 @@ pub fn AddRemove() -> View {
|
||||
}
|
||||
) { "+" }
|
||||
button(
|
||||
class="emoji", /* KLUDGE */ // for convenience, we're using an emoji as a temporary icon for this button
|
||||
class="emoji", /* KLUDGE */
|
||||
disabled={
|
||||
let state = use_context::<AppState>();
|
||||
state.selection.with(|sel| sel.len() != 2)
|
||||
},
|
||||
on:click=|_| {
|
||||
let state = use_context::<AppState>();
|
||||
let subjects = state.selection.with(
|
||||
let args = state.selection.with(
|
||||
|sel| {
|
||||
let subject_vec: Vec<_> = sel.into_iter().collect();
|
||||
(subject_vec[0].clone(), subject_vec[1].clone())
|
||||
let arg_vec: Vec<_> = sel.into_iter().collect();
|
||||
(arg_vec[0].clone(), arg_vec[1].clone())
|
||||
}
|
||||
);
|
||||
let lorentz_prod = create_signal(0.0);
|
||||
let lorentz_prod_valid = create_signal(false);
|
||||
let rep = create_signal(0.0);
|
||||
let rep_valid = create_signal(false);
|
||||
let active = create_signal(true);
|
||||
state.assembly.insert_constraint(Constraint {
|
||||
subjects: subjects,
|
||||
lorentz_prod: lorentz_prod,
|
||||
lorentz_prod_text: create_signal(String::new()),
|
||||
lorentz_prod_valid: lorentz_prod_valid,
|
||||
args: args,
|
||||
rep: rep,
|
||||
rep_text: create_signal(String::new()),
|
||||
rep_valid: rep_valid,
|
||||
active: active,
|
||||
});
|
||||
state.selection.update(|sel| sel.clear());
|
||||
@ -209,10 +205,10 @@ pub fn AddRemove() -> View {
|
||||
for (_, cst) in csts.into_iter() {
|
||||
console::log_5(
|
||||
&JsValue::from(" "),
|
||||
&JsValue::from(cst.subjects.0),
|
||||
&JsValue::from(cst.subjects.1),
|
||||
&JsValue::from(cst.args.0),
|
||||
&JsValue::from(cst.args.1),
|
||||
&JsValue::from(":"),
|
||||
&JsValue::from(cst.lorentz_prod.get_untracked())
|
||||
&JsValue::from(cst.rep.get_untracked())
|
||||
);
|
||||
}
|
||||
});
|
||||
@ -221,19 +217,18 @@ pub fn AddRemove() -> View {
|
||||
// and valid, or is edited while active and valid
|
||||
create_effect(move || {
|
||||
console::log_1(&JsValue::from(
|
||||
format!("Constraint ({}, {}) updated", subjects.0, subjects.1)
|
||||
format!("Constraint ({}, {}) updated", args.0, args.1)
|
||||
));
|
||||
lorentz_prod.track();
|
||||
if active.get() && lorentz_prod_valid.get() {
|
||||
rep.track();
|
||||
if active.get() && rep_valid.get() {
|
||||
state.assembly.realize();
|
||||
}
|
||||
});
|
||||
}
|
||||
) { "🔗" }
|
||||
select(bind:value=assembly_name) { /* DEBUG */ // example assembly chooser
|
||||
select(bind:value=assembly_name) { /* DEBUG */
|
||||
option(value="general") { "General" }
|
||||
option(value="low-curv") { "Low-curvature" }
|
||||
option(value="empty") { "Empty" }
|
||||
}
|
||||
}
|
||||
}
|
||||
|
||||
@ -1,111 +1,38 @@
|
||||
use nalgebra::{DMatrix, DVector, Vector3};
|
||||
use nalgebra::{DMatrix, DVector};
|
||||
use rustc_hash::FxHashMap;
|
||||
use slab::Slab;
|
||||
use std::{collections::BTreeSet, sync::atomic::{AtomicU64, Ordering}};
|
||||
use std::collections::BTreeSet;
|
||||
use sycamore::prelude::*;
|
||||
use web_sys::{console, wasm_bindgen::JsValue}; /* DEBUG */
|
||||
|
||||
use crate::engine::{realize_gram, PartialMatrix};
|
||||
|
||||
// the types of the keys we use to access an assembly's elements and constraints
|
||||
pub type ElementKey = usize;
|
||||
pub type ConstraintKey = usize;
|
||||
|
||||
pub type ElementColor = [f32; 3];
|
||||
|
||||
/* KLUDGE */
|
||||
// we should reconsider this design when we build a system for switching between
|
||||
// assemblies. at that point, we might want to switch to hierarchical keys,
|
||||
// where each each element has a key that identifies it within its assembly and
|
||||
// each assembly has a key that identifies it within the sesssion
|
||||
static NEXT_ELEMENT_SERIAL: AtomicU64 = AtomicU64::new(0);
|
||||
|
||||
#[derive(Clone, PartialEq)]
|
||||
pub struct Element {
|
||||
pub id: String,
|
||||
pub label: String,
|
||||
pub color: ElementColor,
|
||||
pub representation: Signal<DVector<f64>>,
|
||||
pub constraints: Signal<BTreeSet<ConstraintKey>>,
|
||||
|
||||
// a serial number, assigned by `Element::new`, that uniquely identifies
|
||||
// each element
|
||||
pub serial: u64,
|
||||
pub color: [f32; 3],
|
||||
pub rep: Signal<DVector<f64>>,
|
||||
pub constraints: Signal<BTreeSet<usize>>,
|
||||
|
||||
// the configuration matrix column index that was assigned to this element
|
||||
// last time the assembly was realized
|
||||
column_index: usize
|
||||
// internal properties, not reflected in any view
|
||||
pub index: usize
|
||||
}
|
||||
|
||||
impl Element {
|
||||
pub fn new(
|
||||
id: String,
|
||||
label: String,
|
||||
color: ElementColor,
|
||||
representation: DVector<f64>
|
||||
color: [f32; 3],
|
||||
rep: DVector<f64>
|
||||
) -> Element {
|
||||
// take the next serial number, panicking if that was the last number we
|
||||
// had left. the technique we use to panic on overflow is taken from
|
||||
// _Rust Atomics and Locks_, by Mara Bos
|
||||
//
|
||||
// https://marabos.nl/atomics/atomics.html#example-handle-overflow
|
||||
//
|
||||
let serial = NEXT_ELEMENT_SERIAL.fetch_update(
|
||||
Ordering::SeqCst, Ordering::SeqCst,
|
||||
|serial| serial.checked_add(1)
|
||||
).expect("Out of serial numbers for elements");
|
||||
|
||||
Element {
|
||||
id: id,
|
||||
label: label,
|
||||
color: color,
|
||||
representation: create_signal(representation),
|
||||
rep: create_signal(rep),
|
||||
constraints: create_signal(BTreeSet::default()),
|
||||
serial: serial,
|
||||
column_index: 0
|
||||
}
|
||||
}
|
||||
|
||||
// the smallest positive depth, represented as a multiple of `dir`, where
|
||||
// the line generated by `dir` hits the element (which is assumed to be a
|
||||
// sphere). returns `None` if the line misses the sphere. this function
|
||||
// should be kept synchronized with `sphere_cast` in `inversive.frag`, which
|
||||
// does essentially the same thing on the GPU side
|
||||
pub fn cast(&self, dir: Vector3<f64>, assembly_to_world: &DMatrix<f64>) -> Option<f64> {
|
||||
// if `a/b` is less than this threshold, we approximate
|
||||
// `a*u^2 + b*u + c` by the linear function `b*u + c`
|
||||
const DEG_THRESHOLD: f64 = 1e-9;
|
||||
|
||||
let rep = self.representation.with_untracked(|rep| assembly_to_world * rep);
|
||||
let a = -rep[3] * dir.norm_squared();
|
||||
let b = rep.rows_range(..3).dot(&dir);
|
||||
let c = -rep[4];
|
||||
|
||||
let adjust = 4.0*a*c/(b*b);
|
||||
if adjust < 1.0 {
|
||||
// as long as `b` is non-zero, the linear approximation of
|
||||
//
|
||||
// a*u^2 + b*u + c
|
||||
//
|
||||
// at `u = 0` will reach zero at a finite depth `u_lin`. the root of
|
||||
// the quadratic adjacent to `u_lin` is stored in `lin_root`. if
|
||||
// both roots have the same sign, `lin_root` will be the one closer
|
||||
// to `u = 0`
|
||||
let square_rect_ratio = 1.0 + (1.0 - adjust).sqrt();
|
||||
let lin_root = -(2.0*c)/b / square_rect_ratio;
|
||||
if a.abs() > DEG_THRESHOLD * b.abs() {
|
||||
if lin_root > 0.0 {
|
||||
Some(lin_root)
|
||||
} else {
|
||||
let other_root = -b/(2.*a) * square_rect_ratio;
|
||||
(other_root > 0.0).then_some(other_root)
|
||||
}
|
||||
} else {
|
||||
(lin_root > 0.0).then_some(lin_root)
|
||||
}
|
||||
} else {
|
||||
// the line through `dir` misses the sphere completely
|
||||
None
|
||||
index: 0
|
||||
}
|
||||
}
|
||||
}
|
||||
@ -113,10 +40,10 @@ impl Element {
|
||||
|
||||
#[derive(Clone)]
|
||||
pub struct Constraint {
|
||||
pub subjects: (ElementKey, ElementKey),
|
||||
pub lorentz_prod: Signal<f64>,
|
||||
pub lorentz_prod_text: Signal<String>,
|
||||
pub lorentz_prod_valid: Signal<bool>,
|
||||
pub args: (usize, usize),
|
||||
pub rep: Signal<f64>,
|
||||
pub rep_text: Signal<String>,
|
||||
pub rep_valid: Signal<bool>,
|
||||
pub active: Signal<bool>
|
||||
}
|
||||
|
||||
@ -128,7 +55,7 @@ pub struct Assembly {
|
||||
pub constraints: Signal<Slab<Constraint>>,
|
||||
|
||||
// indexing
|
||||
pub elements_by_id: Signal<FxHashMap<String, ElementKey>>
|
||||
pub elements_by_id: Signal<FxHashMap<String, usize>>
|
||||
}
|
||||
|
||||
impl Assembly {
|
||||
@ -184,13 +111,13 @@ impl Assembly {
|
||||
}
|
||||
|
||||
pub fn insert_constraint(&self, constraint: Constraint) {
|
||||
let subjects = constraint.subjects;
|
||||
let args = constraint.args;
|
||||
let key = self.constraints.update(|csts| csts.insert(constraint));
|
||||
let subject_constraints = self.elements.with(
|
||||
|elts| (elts[subjects.0].constraints, elts[subjects.1].constraints)
|
||||
let arg_constraints = self.elements.with(
|
||||
|elts| (elts[args.0].constraints, elts[args.1].constraints)
|
||||
);
|
||||
subject_constraints.0.update(|csts| csts.insert(key));
|
||||
subject_constraints.1.update(|csts| csts.insert(key));
|
||||
arg_constraints.0.update(|csts| csts.insert(key));
|
||||
arg_constraints.1.update(|csts| csts.insert(key));
|
||||
}
|
||||
|
||||
// --- realization ---
|
||||
@ -199,7 +126,7 @@ impl Assembly {
|
||||
// index the elements
|
||||
self.elements.update_silent(|elts| {
|
||||
for (index, (_, elt)) in elts.into_iter().enumerate() {
|
||||
elt.column_index = index;
|
||||
elt.index = index;
|
||||
}
|
||||
});
|
||||
|
||||
@ -209,11 +136,11 @@ impl Assembly {
|
||||
let mut gram_to_be = PartialMatrix::new();
|
||||
self.constraints.with_untracked(|csts| {
|
||||
for (_, cst) in csts {
|
||||
if cst.active.get_untracked() && cst.lorentz_prod_valid.get_untracked() {
|
||||
let subjects = cst.subjects;
|
||||
let row = elts[subjects.0].column_index;
|
||||
let col = elts[subjects.1].column_index;
|
||||
gram_to_be.push_sym(row, col, cst.lorentz_prod.get_untracked());
|
||||
if cst.active.get_untracked() && cst.rep_valid.get_untracked() {
|
||||
let args = cst.args;
|
||||
let row = elts[args.0].index;
|
||||
let col = elts[args.1].index;
|
||||
gram_to_be.push_sym(row, col, cst.rep.get_untracked());
|
||||
}
|
||||
}
|
||||
});
|
||||
@ -222,9 +149,9 @@ impl Assembly {
|
||||
// Gram matrix
|
||||
let mut guess_to_be = DMatrix::<f64>::zeros(5, elts.len());
|
||||
for (_, elt) in elts {
|
||||
let index = elt.column_index;
|
||||
let index = elt.index;
|
||||
gram_to_be.push_sym(index, index, 1.0);
|
||||
guess_to_be.set_column(index, &elt.representation.get_clone_untracked());
|
||||
guess_to_be.set_column(index, &elt.rep.get_clone_untracked());
|
||||
}
|
||||
|
||||
(gram_to_be, guess_to_be)
|
||||
@ -267,8 +194,8 @@ impl Assembly {
|
||||
if success {
|
||||
// read out the solution
|
||||
for (_, elt) in self.elements.get_clone_untracked() {
|
||||
elt.representation.update(
|
||||
|rep| rep.set_column(0, &config.column(elt.column_index))
|
||||
elt.rep.update(
|
||||
|rep| rep.set_column(0, &config.column(elt.index))
|
||||
);
|
||||
}
|
||||
}
|
||||
|
||||
@ -4,9 +4,7 @@ use sycamore::{prelude::*, motion::create_raf};
|
||||
use web_sys::{
|
||||
console,
|
||||
window,
|
||||
Element,
|
||||
KeyboardEvent,
|
||||
MouseEvent,
|
||||
WebGl2RenderingContext,
|
||||
WebGlProgram,
|
||||
WebGlShader,
|
||||
@ -14,7 +12,7 @@ use web_sys::{
|
||||
wasm_bindgen::{JsCast, JsValue}
|
||||
};
|
||||
|
||||
use crate::{AppState, assembly::ElementKey};
|
||||
use crate::AppState;
|
||||
|
||||
fn compile_shader(
|
||||
context: &WebGl2RenderingContext,
|
||||
@ -84,24 +82,6 @@ fn bind_vertex_attrib(
|
||||
);
|
||||
}
|
||||
|
||||
// the direction in camera space that a mouse event is pointing along
|
||||
fn event_dir(event: &MouseEvent) -> Vector3<f64> {
|
||||
let target: Element = event.target().unwrap().unchecked_into();
|
||||
let rect = target.get_bounding_client_rect();
|
||||
let width = rect.width();
|
||||
let height = rect.height();
|
||||
let shortdim = width.min(height);
|
||||
|
||||
// this constant should be kept synchronized with `inversive.frag`
|
||||
const FOCAL_SLOPE: f64 = 0.3;
|
||||
|
||||
Vector3::new(
|
||||
FOCAL_SLOPE * (2.0*(f64::from(event.client_x()) - rect.left()) - width) / shortdim,
|
||||
FOCAL_SLOPE * (2.0*(rect.bottom() - f64::from(event.client_y())) - height) / shortdim,
|
||||
-1.0
|
||||
)
|
||||
}
|
||||
|
||||
#[component]
|
||||
pub fn Display() -> View {
|
||||
let state = use_context::<AppState>();
|
||||
@ -109,9 +89,6 @@ pub fn Display() -> View {
|
||||
// canvas
|
||||
let display = create_node_ref();
|
||||
|
||||
// viewpoint
|
||||
let assembly_to_world = create_signal(DMatrix::<f64>::identity(5, 5));
|
||||
|
||||
// navigation
|
||||
let pitch_up = create_signal(0.0);
|
||||
let pitch_down = create_signal(0.0);
|
||||
@ -128,7 +105,7 @@ pub fn Display() -> View {
|
||||
create_effect(move || {
|
||||
state.assembly.elements.with(|elts| {
|
||||
for (_, elt) in elts {
|
||||
elt.representation.track();
|
||||
elt.rep.track();
|
||||
}
|
||||
});
|
||||
state.selection.track();
|
||||
@ -319,7 +296,7 @@ pub fn Display() -> View {
|
||||
0.0, 0.0, 0.0, 0.0, 1.0
|
||||
])
|
||||
};
|
||||
let asm_to_world = &location * &orientation;
|
||||
let assembly_to_world = &location * &orientation;
|
||||
|
||||
// get the assembly
|
||||
let (
|
||||
@ -334,7 +311,7 @@ pub fn Display() -> View {
|
||||
|
||||
// representation vectors in world coordinates
|
||||
elts.iter().map(
|
||||
|(_, elt)| elt.representation.with(|rep| &asm_to_world * rep)
|
||||
|(_, elt)| elt.rep.with(|rep| &assembly_to_world * rep)
|
||||
).collect::<Vec<_>>(),
|
||||
|
||||
// colors
|
||||
@ -393,9 +370,6 @@ pub fn Display() -> View {
|
||||
// draw the scene
|
||||
ctx.draw_arrays(WebGl2RenderingContext::TRIANGLES, 0, VERTEX_CNT as i32);
|
||||
|
||||
// update the viewpoint
|
||||
assembly_to_world.set(asm_to_world);
|
||||
|
||||
// clear the scene change flag
|
||||
scene_changed.set(
|
||||
pitch_up_val != 0.0
|
||||
@ -484,31 +458,6 @@ pub fn Display() -> View {
|
||||
yaw_left.set(0.0);
|
||||
roll_ccw.set(0.0);
|
||||
roll_cw.set(0.0);
|
||||
},
|
||||
on:click=move |event: MouseEvent| {
|
||||
// find the nearest element along the pointer direction
|
||||
let dir = event_dir(&event);
|
||||
console::log_1(&JsValue::from(dir.to_string()));
|
||||
let mut clicked: Option<(ElementKey, f64)> = None;
|
||||
for (key, elt) in state.assembly.elements.get_clone_untracked() {
|
||||
match assembly_to_world.with(|asm_to_world| elt.cast(dir, asm_to_world)) {
|
||||
Some(depth) => match clicked {
|
||||
Some((_, best_depth)) => {
|
||||
if depth < best_depth {
|
||||
clicked = Some((key, depth))
|
||||
}
|
||||
},
|
||||
None => clicked = Some((key, depth))
|
||||
}
|
||||
None => ()
|
||||
};
|
||||
}
|
||||
|
||||
// if we clicked something, select it
|
||||
match clicked {
|
||||
Some((key, _)) => state.select(key, event.shift_key()),
|
||||
None => state.selection.update(|sel| sel.clear())
|
||||
};
|
||||
}
|
||||
)
|
||||
}
|
||||
|
||||
@ -4,7 +4,6 @@ use web_sys::{console, wasm_bindgen::JsValue}; /* DEBUG */
|
||||
|
||||
// --- elements ---
|
||||
|
||||
#[cfg(feature = "dev")]
|
||||
pub fn point(x: f64, y: f64, z: f64) -> DVector<f64> {
|
||||
DVector::from_column_slice(&[x, y, z, 0.5, 0.5*(x*x + y*y + z*z)])
|
||||
}
|
||||
@ -285,7 +284,7 @@ pub fn realize_gram(
|
||||
// "Japan's 'Wasan' Mathematical Tradition", by Abe Haruki
|
||||
// https://www.nippon.com/en/japan-topics/c12801/
|
||||
//
|
||||
#[cfg(feature = "dev")]
|
||||
#[cfg(feature = "irisawa")]
|
||||
pub mod irisawa {
|
||||
use std::{array, f64::consts::PI};
|
||||
|
||||
@ -408,38 +407,4 @@ mod tests {
|
||||
assert!((config[(3, k)] - 1.0 / diam).abs() < entry_tol);
|
||||
}
|
||||
}
|
||||
|
||||
// at the frozen indices, the optimization steps should have exact zeros,
|
||||
// and the realized configuration should match the initial guess
|
||||
#[test]
|
||||
fn frozen_entry_test() {
|
||||
let gram = {
|
||||
let mut gram_to_be = PartialMatrix::new();
|
||||
for j in 0..2 {
|
||||
for k in j..2 {
|
||||
gram_to_be.push_sym(j, k, if (j, k) == (1, 1) { 1.0 } else { 0.0 });
|
||||
}
|
||||
}
|
||||
gram_to_be
|
||||
};
|
||||
let guess = DMatrix::from_columns(&[
|
||||
point(0.0, 0.0, 2.0),
|
||||
sphere(0.0, 0.0, 0.0, 1.0)
|
||||
]);
|
||||
let frozen = [(3, 0), (3, 1)];
|
||||
println!();
|
||||
let (config, success, history) = realize_gram(
|
||||
&gram, guess.clone(), &frozen,
|
||||
1.0e-12, 0.5, 0.9, 1.1, 200, 110
|
||||
);
|
||||
assert_eq!(success, true);
|
||||
for base_step in history.base_step.into_iter() {
|
||||
for index in frozen {
|
||||
assert_eq!(base_step[index], 0.0);
|
||||
}
|
||||
}
|
||||
for index in frozen {
|
||||
assert_eq!(config[index], guess[index]);
|
||||
}
|
||||
}
|
||||
}
|
||||
@ -8,14 +8,14 @@ use rustc_hash::FxHashSet;
|
||||
use sycamore::prelude::*;
|
||||
|
||||
use add_remove::AddRemove;
|
||||
use assembly::{Assembly, ElementKey};
|
||||
use assembly::Assembly;
|
||||
use display::Display;
|
||||
use outline::Outline;
|
||||
|
||||
#[derive(Clone)]
|
||||
struct AppState {
|
||||
assembly: Assembly,
|
||||
selection: Signal<FxHashSet<ElementKey>>
|
||||
selection: Signal<FxHashSet<usize>>
|
||||
}
|
||||
|
||||
impl AppState {
|
||||
@ -25,24 +25,6 @@ impl AppState {
|
||||
selection: create_signal(FxHashSet::default())
|
||||
}
|
||||
}
|
||||
|
||||
// in single-selection mode, select the element with the given key. in
|
||||
// multiple-selection mode, toggle whether the element with the given key
|
||||
// is selected
|
||||
fn select(&self, key: ElementKey, multi: bool) {
|
||||
if multi {
|
||||
self.selection.update(|sel| {
|
||||
if !sel.remove(&key) {
|
||||
sel.insert(key);
|
||||
}
|
||||
});
|
||||
} else {
|
||||
self.selection.update(|sel| {
|
||||
sel.clear();
|
||||
sel.insert(key);
|
||||
});
|
||||
}
|
||||
}
|
||||
}
|
||||
|
||||
fn main() {
|
||||
|
||||
@ -8,7 +8,7 @@ use web_sys::{
|
||||
wasm_bindgen::JsCast
|
||||
};
|
||||
|
||||
use crate::{AppState, assembly, assembly::{Constraint, ConstraintKey, ElementKey}};
|
||||
use crate::{AppState, assembly, assembly::Constraint};
|
||||
|
||||
// an editable view of the Lorentz product representing a constraint
|
||||
#[component(inline_props)]
|
||||
@ -16,15 +16,15 @@ fn LorentzProductInput(constraint: Constraint) -> View {
|
||||
view! {
|
||||
input(
|
||||
r#type="text",
|
||||
bind:value=constraint.lorentz_prod_text,
|
||||
bind:value=constraint.rep_text,
|
||||
on:change=move |event: Event| {
|
||||
let target: HtmlInputElement = event.target().unwrap().unchecked_into();
|
||||
match target.value().parse::<f64>() {
|
||||
Ok(lorentz_prod) => batch(|| {
|
||||
constraint.lorentz_prod.set(lorentz_prod);
|
||||
constraint.lorentz_prod_valid.set(true);
|
||||
Ok(rep) => batch(|| {
|
||||
constraint.rep.set(rep);
|
||||
constraint.rep_valid.set(true);
|
||||
}),
|
||||
Err(_) => constraint.lorentz_prod_valid.set(false)
|
||||
Err(_) => constraint.rep_valid.set(false)
|
||||
};
|
||||
}
|
||||
)
|
||||
@ -33,23 +33,23 @@ fn LorentzProductInput(constraint: Constraint) -> View {
|
||||
|
||||
// a list item that shows a constraint in an outline view of an element
|
||||
#[component(inline_props)]
|
||||
fn ConstraintOutlineItem(constraint_key: ConstraintKey, element_key: ElementKey) -> View {
|
||||
fn ConstraintOutlineItem(constraint_key: usize, element_key: usize) -> View {
|
||||
let state = use_context::<AppState>();
|
||||
let assembly = &state.assembly;
|
||||
let constraint = assembly.constraints.with(|csts| csts[constraint_key].clone());
|
||||
let other_subject = if constraint.subjects.0 == element_key {
|
||||
constraint.subjects.1
|
||||
let other_arg = if constraint.args.0 == element_key {
|
||||
constraint.args.1
|
||||
} else {
|
||||
constraint.subjects.0
|
||||
constraint.args.0
|
||||
};
|
||||
let other_subject_label = assembly.elements.with(|elts| elts[other_subject].label.clone());
|
||||
let class = constraint.lorentz_prod_valid.map(
|
||||
|&lorentz_prod_valid| if lorentz_prod_valid { "constraint" } else { "constraint invalid" }
|
||||
let other_arg_label = assembly.elements.with(|elts| elts[other_arg].label.clone());
|
||||
let class = constraint.rep_valid.map(
|
||||
|&rep_valid| if rep_valid { "cst" } else { "cst invalid" }
|
||||
);
|
||||
view! {
|
||||
li(class=class.get()) {
|
||||
input(r#type="checkbox", bind:checked=constraint.active)
|
||||
div(class="constraint-label") { (other_subject_label) }
|
||||
div(class="cst-label") { (other_arg_label) }
|
||||
LorentzProductInput(constraint=constraint)
|
||||
div(class="status")
|
||||
}
|
||||
@ -58,13 +58,13 @@ fn ConstraintOutlineItem(constraint_key: ConstraintKey, element_key: ElementKey)
|
||||
|
||||
// a list item that shows an element in an outline view of an assembly
|
||||
#[component(inline_props)]
|
||||
fn ElementOutlineItem(key: ElementKey, element: assembly::Element) -> View {
|
||||
fn ElementOutlineItem(key: usize, element: assembly::Element) -> View {
|
||||
let state = use_context::<AppState>();
|
||||
let class = state.selection.map(
|
||||
move |sel| if sel.contains(&key) { "selected" } else { "" }
|
||||
);
|
||||
let label = element.label.clone();
|
||||
let rep_components = element.representation.map(
|
||||
let rep_components = element.rep.map(
|
||||
|rep| rep.iter().map(
|
||||
|u| format!("{:.3}", u).replace("-", "\u{2212}")
|
||||
).collect()
|
||||
@ -83,7 +83,18 @@ fn ElementOutlineItem(key: ElementKey, element: assembly::Element) -> View {
|
||||
move |event: KeyboardEvent| {
|
||||
match event.key().as_str() {
|
||||
"Enter" => {
|
||||
state.select(key, event.shift_key());
|
||||
if event.shift_key() {
|
||||
state.selection.update(|sel| {
|
||||
if !sel.remove(&key) {
|
||||
sel.insert(key);
|
||||
}
|
||||
});
|
||||
} else {
|
||||
state.selection.update(|sel| {
|
||||
sel.clear();
|
||||
sel.insert(key);
|
||||
});
|
||||
}
|
||||
event.prevent_default();
|
||||
},
|
||||
"ArrowRight" if constrained.get() => {
|
||||
@ -104,11 +115,11 @@ fn ElementOutlineItem(key: ElementKey, element: assembly::Element) -> View {
|
||||
}
|
||||
) {
|
||||
div(
|
||||
class="element-switch",
|
||||
class="elt-switch",
|
||||
on:click=|event: MouseEvent| event.stop_propagation()
|
||||
)
|
||||
div(
|
||||
class="element",
|
||||
class="elt",
|
||||
on:click={
|
||||
move |event: MouseEvent| {
|
||||
if event.shift_key() {
|
||||
@ -128,8 +139,8 @@ fn ElementOutlineItem(key: ElementKey, element: assembly::Element) -> View {
|
||||
}
|
||||
}
|
||||
) {
|
||||
div(class="element-label") { (label) }
|
||||
div(class="element-representation") {
|
||||
div(class="elt-label") { (label) }
|
||||
div(class="elt-rep") {
|
||||
Indexed(
|
||||
list=rep_components,
|
||||
view=|coord_str| view! {
|
||||
@ -189,7 +200,7 @@ pub fn Outline() -> View {
|
||||
view=|(key, elt)| view! {
|
||||
ElementOutlineItem(key=key, element=elt)
|
||||
},
|
||||
key=|(_, elt)| elt.serial
|
||||
key=|(key, _)| key.clone()
|
||||
)
|
||||
}
|
||||
}
|
||||
|
||||
@ -41,25 +41,3 @@ I will have to work out formulas for the Euclidean distance between two entities
|
||||
In this vein, it seems as though if J1 and J2 are the reps of two points, then Q(J1,J2) = d^2/2. So then the sphere centered at J1 through J2 is (J1-(2Q(J1,J2),0,0,0,0))/sqrt(2Q(J1,J2)). Ugh has a sqrt in it. Similarly for sphere centered at J3 through J2, (J3-(2Q(J3,J2),0000))/sqrt(2Q(J3,J2)). J1,J2,J3 are collinear if these spheres are tangent, i.e. if those vectors have Q-inner-product 1, which is to say Q(J1,J3) - Q(J1,J2) - Q(J3,J2) = 2sqrt(Q(J1,J2)Q(J2,J3)). But maybe that's not the simplest way of putting it. After all, we can just say that the cross-product of the two differences is 0; that has no square roots in it.
|
||||
|
||||
One conceivable way to canonicalize lines is to use the *perpendicular* plane that goes through the origin, that's uniquely defined, and anyway just amounts to I = (0,0,d) where d is the ordinary direction vector of the line; and a point J in that plane that the line goes through, which just amounts to J=(r^2,1,E) with Q(I,J) = 0, i.e. E\dot d = 0. It's also the point on the line closest to the origin. The reason that we don't usually use that point as the companion to the direction vector is that the resulting set of six coordinates is not homogeneous. But here that's not an issue, since we have our standard point coordinates and plane coordinates; and for a plane through the origin, only two of the direction coordinates are really free, and then we have the one dot-product relation, so only two of the point coordinates are really free, giving us the correct dimensionality of 4 for the set of lines. So in some sense this says that we could take naively as coordinates for a line the projection of the unit direction vector to the xy plane and the projection of the line's closest point to the origin to the xy plane. That doesn't seem to have any weird gimbal locks or discontinuities or anything. And with these coordinates, you can test if the point E=x,y,z is on the line (dx,dy,cx,cy) by extending (dx,dy) to d via dz = sqrt(1-dx^2 - dy^2), extending (cx,cy) to c by determining cz via d\dot c = 0, and then checking if d\cross(E-c) = 0. And you can see if two lines are parallel just by checking if they have the same direction vector, and if not, you can see if they are coplanar by projecting both of their closest points perpendicularly onto the line in the direction of the cross product of their directions, and if the projections match they are coplanar.
|
||||
|
||||
#### Engine Conventions
|
||||
|
||||
The coordinate conventions used in the engine are different from the ones used in these notes. Marking the engine vectors and coordinates with $'$, we have
|
||||
$$I' = (x', y', z', b', c'),$$
|
||||
where
|
||||
$$
|
||||
\begin{align*}
|
||||
x' & = x & b' & = b/2 \\
|
||||
y' & = y & c' & = c/2. \\
|
||||
z' & = z
|
||||
\end{align*}
|
||||
$$
|
||||
The engine uses the quadratic form $Q' = -Q$, which is expressed in engine coordinates as
|
||||
$$Q'(I'_1, I'_2) = x'_1 x'_2 + y'_1 y'_2 + z'_1 z'_2 - 2(b'_1c'_2 + c'_1 b'_2).$$
|
||||
In the `engine` module, the matrix of $Q'$ is encoded in the lazy static variable `Q`.
|
||||
|
||||
In the engine's coordinate conventions, a sphere with radius $r > 0$ centered on $P = (P_x, P_y, P_z)$ is represented by the vector
|
||||
$$I'_s = \left(\frac{P_x}{r}, \frac{P_y}{r}, \frac{P_z}{r}, \frac1{2r}, \frac{\|P\|^2 - r^2}{2r}\right),$$
|
||||
which has the normalization $Q'(I'_s, I'_s) = 1$. The point $P$ is represented by the vector
|
||||
$$I'_P = \left(P_x, P_y, P_z, \frac{1}{2}, \frac{\|P\|^2}{2}\right).$$
|
||||
In the `engine` module, these formulas are encoded in the `sphere` and `point` functions.
|
||||
Loading…
Reference in New Issue
Block a user