import { useRef, useState } from 'react' import type { CodecResult } from '../compress/codecs' import { useWidth } from './useWidth' const GROUPS = ['no prefilter', 'delta', 'LPC'] const CODER_NAMES = ['zlib', 'zstd', 'ANS'] const CODER_VARS = ['var(--series-1)', 'var(--series-2)', 'var(--series-3)'] const COND_VAR = 'var(--series-4)' const LABEL_W = 100 const RIGHT_PAD = 64 const AXIS_H = 26 /** Strip under the axis reserved for the two reference-line labels, so they * never sit on top of the bars or each other. */ const REF_BAND = 30 const GROUP_H = 20 const ROW_H = 24 const BAR_H = 16 type Metric = 'bits' | 'ratio' /** One drawn bar: a measured codec size. */ interface Row { key: string label: string name: string note: string bytes: number bitsPerSample: number ratio: number color: string } interface Tip { x: number y: number row: Row } function axisTicks(max: number): number[] { const step = max > 24 ? 8 : max > 12 ? 4 : max > 6 ? 2 : max > 3 ? 1 : 0.5 const out: number[] = [] for (let v = 0; v <= max + 1e-9; v += step) out.push(v) return out } /** A bar whose data-end is rounded (4px) while the baseline end stays square. */ function barPath(x0: number, y: number, len: number, h: number): string { const r = Math.min(4, len) return `M${x0},${y} h${len - r} a${r},${r} 0 0 1 ${r},${r} v${h - 2 * r} a${r},${r} 0 0 1 ${-r},${r} h${-(len - r)} z` } /** A reference-line label: a short sample of the line's own stroke, then the * value in ink, flipped to end-anchored near the right edge. */ function RefLabel(props: { x: number y: number width: number stroke: string dash: string text: string }) { const flip = props.x > props.width - 170 const dir = flip ? -1 : 1 const x0 = props.x + 6 * dir return ( {props.text} ) } interface Group { label: string rows: Row[] } /** The three prefilter groups, then the conditional coder — results[9] — as * its own group. */ function buildGroups(results: CodecResult[]): Group[] { const groups: Group[] = GROUPS.map((group, g) => ({ label: group, rows: CODER_NAMES.map((coder, c) => ({ coder, c, r: results[g * 3 + c] })) .filter(x => x.r) .map(({ coder, c, r }) => ({ key: r.codec, label: coder, name: r.codec, note: r.note, bytes: r.bytes, bitsPerSample: r.bitsPerSample, ratio: r.ratio, color: CODER_VARS[c], })), })) const extra = results[GROUPS.length * CODER_NAMES.length] if (extra) { groups.push({ label: 'conditional', rows: [ { key: extra.codec, label: 'Gaussian AC', name: extra.codec, note: extra.note, bytes: extra.bytes, bitsPerSample: extra.bitsPerSample, ratio: extra.ratio, color: COND_VAR, }, ], }) } return groups } export default function CompressionChart(props: { results: CodecResult[] /** The browser-estimated entropy rate R, once at least one past is in. */ rateBits: number | null /** Standard error of that estimate, drawn as a band around its line. */ rateSe: number | null /** The analytic prediction of R, always shown as a dotted reference. */ theoryBits: number computing: boolean }) { const ref = useRef(null) const width = useWidth(ref, 720) const [metric, setMetric] = useState('ratio') const [tip, setTip] = useState(null) const [hovered, setHovered] = useState(null) const { results, rateBits, rateSe, theoryBits } = props if (results.length === 0) { return

Computing compression on the first block…

} const groups = buildGroups(results) // Every coder that codes against an explicit model can be scored against it. const efficiency = results.filter(r => r.modelBitsPerSample !== undefined) // Group headers and bar rows laid out top to bottom; groups may differ in // row count, so positions accumulate rather than being indexed. const groupLabels: { label: string; y: number }[] = [] const placed: { row: Row; y: number }[] = [] let yCursor = AXIS_H + REF_BAND for (const g of groups) { groupLabels.push({ label: g.label, y: yCursor + 15 }) yCursor += GROUP_H for (const row of g.rows) { placed.push({ row, y: yCursor }) yCursor += ROW_H } } const rows = placed.map(p => p.row) const value = (r: { bitsPerSample: number; ratio: number }) => metric === 'bits' ? r.bitsPerSample : r.ratio const rateValue = rateBits !== null && rateBits > 0 ? (metric === 'bits' ? rateBits : 16 / rateBits) : null const theoryValue = theoryBits > 0 ? (metric === 'bits' ? theoryBits : 16 / theoryBits) : null const xMax = Math.max(...rows.map(value), rateValue ?? 0, theoryValue ?? 0) * 1.1 const plotW = width - LABEL_W - RIGHT_PAD const height = yCursor + 6 const xOf = (v: number) => LABEL_W + (v / xMax) * plotW const fmt = (r: Row) => (metric === 'bits' ? r.bitsPerSample.toFixed(2) : `${r.ratio.toFixed(2)}×`) const onBarMove = (e: React.PointerEvent, row: Row) => { const box = ref.current!.getBoundingClientRect() setTip({ x: e.clientX - box.left, y: e.clientY - box.top, row }) } const rateX = rateValue !== null ? xOf(rateValue) : 0 const rateLabel = rateBits !== null && rateBits > 0 ? metric === 'bits' ? `Monte-Carlo = ${rateBits.toFixed(2)}` : `Monte-Carlo ⇒ ${(16 / rateBits).toFixed(2)}×` : '' const theoryX = theoryValue !== null ? xOf(theoryValue) : 0 const theoryLabel = theoryValue !== null ? metric === 'bits' ? `theory ≈ ${theoryBits.toFixed(2)}` : `theory ⇒ ${(16 / theoryBits).toFixed(2)}×` : '' // ± one standard error around the Monte-Carlo line, in the plotted metric. let band: { x: number; w: number } | null = null if (rateBits !== null && rateBits > 0 && rateSe !== null && rateSe > 0) { const loBits = Math.max(rateBits - rateSe, 1e-9) const hiBits = rateBits + rateSe const x1 = xOf(metric === 'bits' ? loBits : 16 / hiBits) const x2 = Math.min(xOf(metric === 'bits' ? hiBits : 16 / loBits), LABEL_W + plotW) band = { x: x1, w: Math.max(x2 - x1, 0) } } return (
{metric === 'bits' ? 'lower is better' : 'vs int16 — higher is better'}
{CODER_NAMES.map((name, i) => ( {name} ))} cond. Gaussian AC
{props.computing && computing…} {axisTicks(xMax).map(v => ( {+v.toFixed(1)} ))} {band && ( )} {groupLabels.map(g => ( {g.label} ))} {placed.map(({ row: r, y }) => { const len = Math.max(1, (value(r) / xMax) * plotW) return ( {r.label} {fmt(r)} { setHovered(r.key) onBarMove(e, r) }} onPointerLeave={() => { setHovered(null) setTip(null) }} /> ) })} {theoryValue !== null && ( )} {rateValue !== null && ( )} {tip && (
{tip.row.bitsPerSample.toFixed(3)} bits/sample · {tip.row.ratio.toFixed(2)}× {' '} {tip.row.name}
{tip.row.bytes.toLocaleString()} bytes · {tip.row.note}
)}
{/* How much each entropy coder loses against the model it is coding against — its own overhead, separate from how good the model is. */} {efficiency.length > 0 && (
entropy-coder overhead — output vs the model it codes against {efficiency.map(r => { const model = r.modelBitsPerSample as number const over = model > 0 ? (r.bitsPerSample / model - 1) * 100 : 0 return ( {r.codec} {r.bitsPerSample.toFixed(3)} / {model.toFixed(3)} bits {over >= 0 ? '+' : ''} {over.toFixed(1)}% ) })}
)}
Table view {rows.map(r => ( ))} {theoryBits > 0 && ( )} {rateBits !== null && rateBits > 0 && ( )}
method bytes bits/sample ratio vs int16
{r.name} {r.bytes.toLocaleString()} {r.bitsPerSample.toFixed(3)} {r.ratio.toFixed(3)}
entropy rate R — analytic theory {theoryBits.toFixed(3)} {(16 / theoryBits).toFixed(3)}
entropy rate R — Monte-Carlo ground truth {rateBits.toFixed(3)} {rateSe !== null && rateSe > 0 ? ` ± ${rateSe.toFixed(3)}` : ''} {(16 / rateBits).toFixed(3)}
) }