o = [0, 0]
basisA = [1, 0]
basisB = rotate([1, 0], angle)
lines = [
{ d: [basisA, multiply(basisB, d.b)], color: "#aaa" },
{ d: [multiply(basisA, d.a), multiply(basisB, d.c)], color: "#aaa" },
{ d: [o, basisA], color: "black" },
{ d: [o, multiply(basisB, d.c)], color: cColor },
{ d: [o, multiply(basisA, d.a)], color: aColor },
{ d: [o, multiply(basisB, d.b)], color: bColor }
]
scale = d3.scaleLinear([0, 1], [0, 100])
margin = 150
extent = {
const [a, b] = d3.extent(lines.flatMap(d => d.d.flatMap(d => d.map(scale))));
return [a - margin, b + margin];
}
viewBox = `${extent[0]} ${extent[0]}
${extent[1] - extent[0]} ${extent[1] - extent[0]}`
diagonal = Math.sqrt((extent[1] - extent[0]) ** 2 * 2)
aColor = "rgb(223, 0, 48)"
bColor = "rgb(100, 149, 237)"
cColor = "rgb(40, 174, 123)"
axis = basis =>
svg`<g>
<path
d="${line([multiply(basis, -diagonal), multiply(basis, diagonal)])}"
stroke="#ccc"
fill="none" />
${d3.range(...extent.map(d => Math.round(scale.invert(d)))).map(
d => svg`<text
text-anchor="middle"
fill="black"
font-weight="bold"
stroke="white"
stroke-width="0.7"
dy="0.31em"
transform="translate(${multiply(basis, d)
.map(scale)
.join(", ")})"
>
${d}
</text>`
)}
</g>`
labels = [
{ label: "1", color: "black", position: multiply(basisA, 1) },
{
label: "a",
color: aColor,
position: multiply(basisA, d.a)
},
{
label: d.type === "mult" ? "b" : "c ÷ a",
color: bColor,
position: multiply(basisB, d.b)
},
{
label: d.type === "mult" ? "a × b" : "c",
color: cColor,
position: multiply(basisB, d.c)
}
]
line = d3
.line()
.x(d => scale(d[0]))
.y(d => scale(d[1]))
// https://stackoverflow.com/a/2259502/120290
rotate = ([px, py], angle, [cx, cy] = [0, 0]) => {
const s = Math.sin(angle);
const c = Math.cos(angle);
// translate point back to origin
px -= cx;
py -= cy;
// rotate point
const xnew = px * c - py * s;
const ynew = px * s + py * c;
// translate point back
px = xnew + cx;
py = ynew + cy;
return [px, py];
}
multiply = ([px, py], coef) => [coef * px, coef * py]
import { radio } from "@jashkenas/inputs"
import { note } from "@tophtucker/scrapbook"
import { tweet } from "@mbostock/tweet"
d3 = require("d3@6")
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