223 lines
5.7 KiB
Julia
223 lines
5.7 KiB
Julia
|
module Viewer
|
||
|
|
||
|
using Blink
|
||
|
using Colors
|
||
|
using Printf
|
||
|
|
||
|
using Main.Engine
|
||
|
|
||
|
export ConstructionViewer, display!, opentools!, closetools!
|
||
|
|
||
|
# === Blink utilities ===
|
||
|
|
||
|
append_to_head!(w, type, content) = @js w begin
|
||
|
@var element = document.createElement($type)
|
||
|
element.appendChild(document.createTextNode($content))
|
||
|
document.head.appendChild(element)
|
||
|
end
|
||
|
|
||
|
style!(w, stylesheet) = append_to_head!(w, "style", stylesheet)
|
||
|
|
||
|
script!(w, code) = append_to_head!(w, "script", code)
|
||
|
|
||
|
# === construction viewer ===
|
||
|
|
||
|
mutable struct ConstructionViewer
|
||
|
win::Window
|
||
|
|
||
|
function ConstructionViewer()
|
||
|
# create window and open developer console
|
||
|
win = Window(Blink.Dict(:width => 620, :height => 830))
|
||
|
|
||
|
# set stylesheet
|
||
|
style!(win, """
|
||
|
body {
|
||
|
background-color: #ccc;
|
||
|
}
|
||
|
|
||
|
/* the maximum dimensions keep Ganja from blowing up the canvas */
|
||
|
#view {
|
||
|
display: block;
|
||
|
width: 600px;
|
||
|
height: 600px;
|
||
|
margin-top: 10px;
|
||
|
margin-left: 10px;
|
||
|
border-radius: 10px;
|
||
|
background-color: #f0f0f0;
|
||
|
}
|
||
|
|
||
|
#control-panel {
|
||
|
width: 600px;
|
||
|
height: 200px;
|
||
|
box-sizing: border-box;
|
||
|
padding: 5px 10px 5px 10px;
|
||
|
margin-top: 10px;
|
||
|
margin-left: 10px;
|
||
|
overflow-y: scroll;
|
||
|
border-radius: 10px;
|
||
|
background-color: #f0f0f0;
|
||
|
}
|
||
|
|
||
|
#control-panel > div {
|
||
|
margin-top: 5px;
|
||
|
padding: 4px;
|
||
|
border-radius: 5px;
|
||
|
border: solid;
|
||
|
font-family: monospace;
|
||
|
}
|
||
|
""")
|
||
|
|
||
|
# load Ganja.js. for an automatically updated web-hosted version, load from
|
||
|
#
|
||
|
# https://unpkg.com/ganja.js
|
||
|
#
|
||
|
# instead
|
||
|
loadjs!(win, "http://localhost:8000/ganja-1.0.204.js")
|
||
|
|
||
|
# create global functions and variables
|
||
|
script!(win, """
|
||
|
// create algebra
|
||
|
var CGA3 = Algebra(4, 1);
|
||
|
|
||
|
// initialize element list and palette
|
||
|
var elements = [];
|
||
|
var palette = [];
|
||
|
|
||
|
// declare handles for the view and its options
|
||
|
var view;
|
||
|
var viewOpt;
|
||
|
|
||
|
// declare handles for the controls
|
||
|
var controlPanel;
|
||
|
var visToggles;
|
||
|
|
||
|
// create scene function
|
||
|
function scene() {
|
||
|
commands = [];
|
||
|
for (let n = 0; n < elements.length; ++n) {
|
||
|
if (visToggles[n].checked) {
|
||
|
commands.push(palette[n], elements[n]);
|
||
|
}
|
||
|
}
|
||
|
return commands;
|
||
|
}
|
||
|
|
||
|
function updateView() {
|
||
|
requestAnimationFrame(view.update.bind(view, scene));
|
||
|
}
|
||
|
""")
|
||
|
|
||
|
@js win begin
|
||
|
# create view
|
||
|
viewOpt = Dict(
|
||
|
:conformal => true,
|
||
|
:gl => true,
|
||
|
:devicePixelRatio => window.devicePixelRatio
|
||
|
)
|
||
|
view = CGA3.graph(scene, viewOpt)
|
||
|
view.setAttribute(:id, "view")
|
||
|
view.removeAttribute(:style)
|
||
|
document.body.replaceChildren(view)
|
||
|
|
||
|
# create control panel
|
||
|
controlPanel = document.createElement(:div)
|
||
|
controlPanel.setAttribute(:id, "control-panel")
|
||
|
document.body.appendChild(controlPanel)
|
||
|
end
|
||
|
|
||
|
new(win)
|
||
|
end
|
||
|
end
|
||
|
|
||
|
mprod(v, w) =
|
||
|
v[1]*w[1] + v[2]*w[2] + v[3]*w[3] + v[4]*w[4] - v[5]*w[5]
|
||
|
|
||
|
function display!(viewer::ConstructionViewer, elements::Matrix)
|
||
|
# load elements
|
||
|
elements_full = []
|
||
|
for elt in eachcol(Engine.unmix * elements)
|
||
|
if mprod(elt, elt) < 0.5
|
||
|
elt_full = [0; elt; fill(0, 26)]
|
||
|
else
|
||
|
# `elt` is a spacelike vector, representing a generalized sphere, so we
|
||
|
# take its Hodge dual before passing it to Ganja.js. the dual represents
|
||
|
# the same generalized sphere, but Ganja.js only displays planes when
|
||
|
# they're represented by vectors in grade 4 rather than grade 1
|
||
|
elt_full = [fill(0, 26); -elt[5]; -elt[4]; elt[3]; -elt[2]; elt[1]; 0]
|
||
|
end
|
||
|
push!(elements_full, elt_full)
|
||
|
end
|
||
|
@js viewer.win elements = $elements_full.map((elt) -> @new CGA3(elt))
|
||
|
|
||
|
# generate palette. this is Gadfly's `default_discrete_colors` palette,
|
||
|
# available under the MIT license
|
||
|
palette = distinguishable_colors(
|
||
|
length(elements_full),
|
||
|
[LCHab(70, 60, 240)],
|
||
|
transform = c -> deuteranopic(c, 0.5),
|
||
|
lchoices = Float64[65, 70, 75, 80],
|
||
|
cchoices = Float64[0, 50, 60, 70],
|
||
|
hchoices = range(0, stop=330, length=24)
|
||
|
)
|
||
|
palette_packed = [RGB24(c).color for c in palette]
|
||
|
@js viewer.win palette = $palette_packed
|
||
|
|
||
|
# create visibility toggles
|
||
|
@js viewer.win begin
|
||
|
controlPanel.replaceChildren()
|
||
|
visToggles = []
|
||
|
end
|
||
|
for (elt, c) in zip(eachcol(elements), palette)
|
||
|
vec_str = join(map(t -> @sprintf("%.3f", t), elt), ", ")
|
||
|
color_str = "#$(hex(c))"
|
||
|
style_str = "background-color: $color_str; border-color: $color_str;"
|
||
|
@js viewer.win begin
|
||
|
@var toggle = document.createElement(:div)
|
||
|
toggle.setAttribute(:style, $style_str)
|
||
|
toggle.checked = true
|
||
|
toggle.addEventListener(
|
||
|
"click",
|
||
|
() -> begin
|
||
|
toggle.checked = !toggle.checked
|
||
|
toggle.style.backgroundColor = toggle.checked ? $color_str : "inherit";
|
||
|
updateView()
|
||
|
end
|
||
|
)
|
||
|
toggle.appendChild(document.createTextNode($vec_str))
|
||
|
visToggles.push(toggle);
|
||
|
controlPanel.appendChild(toggle);
|
||
|
end
|
||
|
end
|
||
|
|
||
|
# update view
|
||
|
@js viewer.win updateView()
|
||
|
end
|
||
|
|
||
|
function opentools!(viewer::ConstructionViewer)
|
||
|
size(viewer.win, 1240, 830)
|
||
|
opentools(viewer.win)
|
||
|
end
|
||
|
|
||
|
function closetools!(viewer::ConstructionViewer)
|
||
|
closetools(viewer.win)
|
||
|
size(viewer.win, 620, 830)
|
||
|
end
|
||
|
|
||
|
end
|
||
|
|
||
|
# ~~~ sandbox setup ~~~
|
||
|
|
||
|
elements = let
|
||
|
a = sqrt(BigFloat(3)/2)
|
||
|
sqrt(0.5) * BigFloat[
|
||
|
1 1 -1 -1 0
|
||
|
1 -1 1 -1 0
|
||
|
1 -1 -1 1 0
|
||
|
0.5 0.5 0.5 0.5 1+a
|
||
|
0.5 0.5 0.5 0.5 1-a
|
||
|
]
|
||
|
end
|
||
|
|
||
|
# show construction
|
||
|
viewer = Viewer.ConstructionViewer()
|
||
|
Viewer.display!(viewer, elements)
|