dyna3/engine-proto/alg-test/ConstructionViewer.jl

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module Viewer
using Blink
using Colors
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using Printf
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using Main.Engine
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export ConstructionViewer, display!, opentools!, closetools!
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# === 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
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win = Window(Blink.Dict(:width => 620, :height => 830))
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# set stylesheet
style!(win, """
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body {
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background-color: #ccc;
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}
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/* the maximum dimensions keep Ganja from blowing up the canvas */
#view {
display: block;
width: 600px;
height: 600px;
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margin-top: 10px;
margin-left: 10px;
border-radius: 10px;
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background-color: #f0f0f0;
}
#control-panel {
width: 600px;
height: 200px;
box-sizing: border-box;
padding: 5px 10px 5px 10px;
margin-top: 10px;
margin-left: 10px;
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overflow-y: scroll;
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border-radius: 10px;
background-color: #f0f0f0;
}
#control-panel > div {
margin-top: 5px;
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padding: 4px;
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border-radius: 5px;
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border: solid;
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font-family: monospace;
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}
""")
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# 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")
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# create global functions and variables
script!(win, """
// create algebra
var CGA3 = Algebra(4, 1);
// initialize element list and palette
var elements = [];
var palette = [];
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// declare handles for the view and its options
var view;
var viewOpt;
// declare handles for the controls
var controlPanel;
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var visToggles;
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// create scene function
function scene() {
commands = [];
for (let n = 0; n < elements.length; ++n) {
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if (visToggles[n].checked) {
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commands.push(palette[n], elements[n]);
}
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}
return commands;
}
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function updateView() {
requestAnimationFrame(view.update.bind(view, scene));
}
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""")
@js win begin
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# create view
viewOpt = Dict(
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:conformal => true,
:gl => true,
:devicePixelRatio => window.devicePixelRatio
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)
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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)
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end
new(win)
end
end
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mprod(v, w) =
v[1]*w[1] + v[2]*w[2] + v[3]*w[3] + v[4]*w[4] - v[5]*w[5]
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function display!(viewer::ConstructionViewer, elements::Matrix)
# load elements
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elements_full = []
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for elt in eachcol(Engine.unmix * elements)
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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
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@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 = $palette_packed
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# create visibility toggles
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@js viewer.win begin
controlPanel.replaceChildren()
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visToggles = []
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end
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for (elt, c) in zip(eachcol(elements), palette)
vec_str = join(map(t -> @sprintf("%.3f", t), elt), ", ")
color_str = "#$(hex(c))"
style_str = "background-color: $color_str; border-color: $color_str;"
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@js viewer.win begin
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@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);
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end
end
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# update view
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@js viewer.win updateView()
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end
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function opentools!(viewer::ConstructionViewer)
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size(viewer.win, 1240, 830)
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opentools(viewer.win)
end
function closetools!(viewer::ConstructionViewer)
closetools(viewer.win)
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size(viewer.win, 620, 830)
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end
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end
# ~~~ sandbox setup ~~~
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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
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# show construction
viewer = Viewer.ConstructionViewer()
Viewer.display!(viewer, elements)