| <div class="d3-galaxy" style="width:100%;margin:10px 0;aspect-ratio:3/1;min-height:260px;"></div> |
| <script> |
| (() => { |
| const ensureD3 = (cb) => { |
| if (window.d3 && typeof window.d3.select === 'function') return cb(); |
| let s = document.getElementById('d3-cdn-script'); |
| if (!s) { |
| s = document.createElement('script'); |
| s.id = 'd3-cdn-script'; |
| s.src = 'https://cdn.jsdelivr.net/npm/d3@7/dist/d3.min.js'; |
| document.head.appendChild(s); |
| } |
| const onReady = () => { if (window.d3 && typeof window.d3.select === 'function') cb(); }; |
| s.addEventListener('load', onReady, { once: true }); |
| if (window.d3) onReady(); |
| }; |
| |
| const bootstrap = () => { |
| const mount = document.currentScript ? document.currentScript.previousElementSibling : null; |
| const container = (mount && mount.querySelector && mount.querySelector('.d3-galaxy')) || document.querySelector('.d3-galaxy'); |
| if (!container) return; |
| if (container.dataset) { |
| if (container.dataset.mounted === 'true') return; |
| container.dataset.mounted = 'true'; |
| } |
| |
| const cx = 1.5, cy = 0.5; |
| const a = 1.3, b = 0.45; |
| const numPoints = 3000; |
| const numArms = 3; |
| const numTurns = 2.1; |
| const angleJitter = 0.12; |
| const posNoise = 0.015; |
| |
| |
| const minCircleSize = 4; |
| const maxCircleSize = 12; |
| |
| |
| const twoPi = Math.PI * 2; |
| const t = Float64Array.from({ length: numPoints }, () => Math.random() * (twoPi * numTurns)); |
| const armIndices = Int16Array.from({ length: numPoints }, () => Math.floor(Math.random() * numArms)); |
| const armOffsets = Float64Array.from(armIndices, (k) => k * (twoPi / numArms)); |
| const theta = Float64Array.from(t, (tv, i) => tv + armOffsets[i] + d3.randomNormal.source(Math.random)(0, angleJitter)()); |
| const rNorm = Float64Array.from(t, (tv) => Math.pow(tv / (twoPi * numTurns), 0.9)); |
| const noiseScale = (rn) => posNoise * (0.8 + 0.6 * rn); |
| const noiseX = Float64Array.from(rNorm, (rn) => d3.randomNormal.source(Math.random)(0, noiseScale(rn))()); |
| const noiseY = Float64Array.from(rNorm, (rn) => d3.randomNormal.source(Math.random)(0, noiseScale(rn))()); |
| |
| const xSpiral = Float64Array.from(theta, (th, i) => cx + a * rNorm[i] * Math.cos(th) + noiseX[i]); |
| const ySpiral = Float64Array.from(theta, (th, i) => cy + b * rNorm[i] * Math.sin(th) + noiseY[i]); |
| |
| const bulgePoints = Math.floor(0.18 * numPoints); |
| const phiB = Float64Array.from({ length: bulgePoints }, () => twoPi * Math.random()); |
| const rB = Float64Array.from({ length: bulgePoints }, () => Math.pow(Math.random(), 2.2) * 0.22); |
| const noiseXB = Float64Array.from({ length: bulgePoints }, () => d3.randomNormal.source(Math.random)(0, posNoise * 0.6)()); |
| const noiseYB = Float64Array.from({ length: bulgePoints }, () => d3.randomNormal.source(Math.random)(0, posNoise * 0.6)()); |
| const xBulge = Float64Array.from(phiB, (ph, i) => cx + a * rB[i] * Math.cos(ph) + noiseXB[i]); |
| const yBulge = Float64Array.from(phiB, (ph, i) => cy + b * rB[i] * Math.sin(ph) + noiseYB[i]); |
| |
| |
| const X = Array.from(xSpiral).concat(Array.from(xBulge)); |
| const Y = Array.from(ySpiral).concat(Array.from(yBulge)); |
| const lenSpiral = xSpiral.length; |
| |
| const zSpiral = Array.from(rNorm, (rn) => 1 - rn); |
| const maxRB = rB && rB.length ? (window.d3 && d3.max ? d3.max(rB) : Math.max.apply(null, Array.from(rB))) : 1; |
| const zBulge = Array.from(rB, (rb) => 1 - (maxRB ? rb / maxRB : 0)); |
| const Zraw = zSpiral.concat(zBulge); |
| const sizesPx = Zraw.map((z) => minCircleSize + z * (maxCircleSize - minCircleSize)); |
| |
| |
| const labelOf = (i) => { |
| const z = Zraw[i]; |
| if (z < 0.25) return 'tiny star'; |
| if (z < 0.5) return 'small star'; |
| if (z < 0.75) return 'medium star'; |
| return 'large star'; |
| }; |
| |
| |
| const idx = d3.range(X.length).sort((i, j) => sizesPx[i] - sizesPx[j]); |
| |
| |
| const c0 = d3.rgb(78, 165, 183); |
| const c1 = d3.rgb(206, 192, 250); |
| const c2 = d3.rgb(232, 137, 171); |
| const interp01 = d3.interpolateRgb(c0, c1); |
| const interp12 = d3.interpolateRgb(c1, c2); |
| const colorFor = (v) => { |
| const t = Math.max(0, Math.min(1, v)); |
| return t <= 0.5 ? interp01(t / 0.5) : interp12((t - 0.5) / 0.5); |
| }; |
| |
| |
| const svg = d3.select(container).append('svg') |
| .attr('width', '100%') |
| .style('display', 'block') |
| .style('cursor', 'crosshair'); |
| |
| const render = () => { |
| const width = container.clientWidth || 800; |
| const height = Math.max(260, Math.round(width / 3)); |
| svg.attr('width', width).attr('height', height); |
| |
| const xScale = d3.scaleLinear().domain([0, 3]).range([0, width]); |
| const yScale = d3.scaleLinear().domain([0, 1]).range([height, 0]); |
| |
| |
| const isDark = document.documentElement.getAttribute('data-theme') === 'dark'; |
| const strokeColor = isDark ? 'rgba(255,255,255,0.18)' : 'rgba(0,0,0,0.12)'; |
| const glowColor = isDark ? 'rgba(255,255,255,0.35)' : 'rgba(0,0,0,0.25)'; |
| |
| |
| |
| const g = svg.selectAll('g.points').data([0]).join('g').attr('class', 'points'); |
| |
| |
| container.style.position = container.style.position || 'relative'; |
| let tip = container.querySelector('.d3-tooltip'); |
| let tipInner; |
| if (!tip) { |
| tip = document.createElement('div'); |
| tip.className = 'd3-tooltip'; |
| Object.assign(tip.style, { |
| position: 'absolute', |
| top: '0px', |
| left: '0px', |
| transform: 'translate(-9999px, -9999px)', |
| pointerEvents: 'none', |
| padding: '10px 12px', |
| borderRadius: '12px', |
| fontSize: '12px', |
| lineHeight: '1.35', |
| border: '1px solid var(--border-color)', |
| background: 'var(--surface-bg)', |
| color: 'var(--text-color)', |
| boxShadow: '0 8px 32px rgba(0,0,0,.28), 0 2px 8px rgba(0,0,0,.12)', |
| opacity: '0', |
| transition: 'opacity .12s ease', |
| backdropFilter: 'saturate(1.12) blur(8px)', |
| zIndex: '20' |
| }); |
| tipInner = document.createElement('div'); |
| tipInner.className = 'd3-tooltip__inner'; |
| Object.assign(tipInner.style, { |
| textAlign: 'left', |
| display: 'flex', |
| flexDirection: 'column', |
| gap: '6px', |
| minWidth: '220px' |
| }); |
| tip.appendChild(tipInner); |
| container.appendChild(tip); |
| } else { |
| tipInner = tip.querySelector('.d3-tooltip__inner') || tip; |
| } |
| |
| |
| const centerHoleRadius = 0.48; |
| const smallSizeThreshold = 7.5; |
| const rTotal = idx.map((i) => Math.sqrt(((X[i] - cx) / a) ** 2 + ((Y[i] - cy) / b) ** 2)); |
| const idxFiltered = idx.filter((i, k) => !(rTotal[k] <= centerHoleRadius && sizesPx[i] < smallSizeThreshold)); |
| |
| const sel = g.selectAll('circle').data(idxFiltered, (i) => i); |
| sel.join( |
| (enter) => enter.append('circle') |
| .attr('cx', (i) => xScale(X[i])) |
| .attr('cy', (i) => yScale(Y[i])) |
| .attr('r', (i) => sizesPx[i] / 2) |
| .attr('fill', (i) => colorFor(Zraw[i])) |
| .attr('fill-opacity', 0.9) |
| .on('mouseenter', function (ev, i) { |
| d3.select(this).raise() |
| .style('filter', `drop-shadow(0 0 8px ${glowColor})`) |
| .transition().duration(120).ease(d3.easeCubicOut) |
| .attr('r', (sizesPx[i] / 2) * 1.25) |
| .attr('fill-opacity', 1); |
| const r = Math.sqrt(((X[i] - cx) / a) ** 2 + ((Y[i] - cy) / b) ** 2); |
| const type = i < lenSpiral ? 'spiral' : 'bulge'; |
| const arm = i < lenSpiral ? (armIndices[i] + 1) : null; |
| tipInner.innerHTML = |
| `<div style="font-weight:800;letter-spacing:.1px;"><strong>${labelOf(i)}</strong></div>` + |
| `<div style="font-size:11px;color:var(--muted-color);margin-top:-4px;margin-bottom:2px;letter-spacing:.1px;"><strong>Type</strong> ${type}${arm ? ` (Arm ${arm})` : ''}</div>` + |
| `<div style="padding-top:6px;border-top:1px solid var(--border-color);"><strong>Position</strong> X ${X[i].toFixed(2)} 路 <strong>Y</strong> ${Y[i].toFixed(2)}</div>` + |
| `<div><strong>Distance</strong> Radius ${r.toFixed(3)} 路 <strong>Z</strong> ${Zraw[i].toFixed(3)}</div>` + |
| `<div><strong>Size</strong> ${sizesPx[i].toFixed(1)} px</div>`; |
| tip.style.opacity = '1'; |
| }) |
| .on('mousemove', (ev, i) => { |
| const [mx, my] = d3.pointer(ev, container); |
| const offsetX = 10, offsetY = 12; |
| tip.style.transform = `translate(${Math.round(mx + offsetX)}px, ${Math.round(my + offsetY)}px)`; |
| }) |
| .on('mouseleave', function () { |
| tip.style.opacity = '0'; |
| tip.style.transform = 'translate(-9999px, -9999px)'; |
| d3.select(this) |
| .style('filter', null) |
| .transition().duration(120).ease(d3.easeCubicOut) |
| .attr('r', (i2) => sizesPx[i2] / 2) |
| .attr('fill-opacity', 0.9); |
| }), |
| (update) => update |
| .attr('cx', (i) => xScale(X[i])) |
| .attr('cy', (i) => yScale(Y[i])) |
| .attr('r', (i) => sizesPx[i] / 2) |
| .attr('fill', (i) => colorFor(Zraw[i])) |
| .attr('fill-opacity', 0.9) |
| .on('mouseenter', function (ev, i) { |
| d3.select(this).raise() |
| .style('filter', `drop-shadow(0 0 8px ${glowColor})`) |
| .transition().duration(120).ease(d3.easeCubicOut) |
| .attr('r', (sizesPx[i] / 2) * 1.25) |
| .attr('fill-opacity', 1); |
| const r = Math.sqrt(((X[i] - cx) / a) ** 2 + ((Y[i] - cy) / b) ** 2); |
| const type = i < lenSpiral ? 'spiral' : 'bulge'; |
| const arm = i < lenSpiral ? (armIndices[i] + 1) : null; |
| tipInner.innerHTML = |
| `<div style="font-weight:800;letter-spacing:.1px;"><strong>${labelOf(i)}</strong></div>` + |
| `<div style="font-size:11px;color:var(--muted-color);margin-top:-4px;margin-bottom:2px;letter-spacing:.1px;"><strong>Type</strong> ${type}${arm ? ` (Arm ${arm})` : ''}</div>` + |
| `<div style="padding-top:6px;border-top:1px solid var(--border-color);"><strong>Position</strong> X ${X[i].toFixed(2)} 路 <strong>Y</strong> ${Y[i].toFixed(2)}</div>` + |
| `<div><strong>Distance</strong> Radius ${r.toFixed(3)} 路 <strong>Z</strong> ${Zraw[i].toFixed(3)}</div>` + |
| `<div><strong>Size</strong> ${sizesPx[i].toFixed(1)} px</div>`; |
| tip.style.opacity = '1'; |
| }) |
| .on('mousemove', (ev, i) => { |
| const [mx, my] = d3.pointer(ev, container); |
| const offsetX = 10, offsetY = 12; |
| tip.style.transform = `translate(${Math.round(mx + offsetX)}px, ${Math.round(my + offsetY)}px)`; |
| }) |
| .on('mouseleave', function () { |
| tip.style.opacity = '0'; |
| tip.style.transform = 'translate(-9999px, -9999px)'; |
| d3.select(this) |
| .style('filter', null) |
| .transition().duration(120).ease(d3.easeCubicOut) |
| .attr('r', (i2) => sizesPx[i2] / 2) |
| .attr('fill-opacity', 0.9); |
| }) |
| ); |
| }; |
| |
| |
| if (window.ResizeObserver) { |
| const ro = new ResizeObserver(() => render()); |
| ro.observe(container); |
| } else { |
| window.addEventListener('resize', render); |
| } |
| render(); |
| }; |
| |
| if (document.readyState === 'loading') { |
| document.addEventListener('DOMContentLoaded', () => ensureD3(bootstrap), { once: true }); |
| } else { ensureD3(bootstrap); } |
| })(); |
| </script> |