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The // error budget is the mainspring barrel; a chain rides down a tapering cone // as budget depletes; alert sensitivity at any budget level is the cone's // local radius at that point. You author the policy by dragging exactly 4 // control points along a monotone cubic spline (Fritsch-Carlson — the // interpolation itself never overshoots between knots, not just at them), // never a free-form curve: the spline's y is a burn-rate TRIP MULTIPLIER, // and it is enforced monotone NON-INCREASING toward the empty end (index 0 // = full budget .. index 3 = exhausted) — a drag or keystroke that would // raise a point above its predecessor (or lower it below its successor) is // clamped to that band, the handle audibly/visually springs back, and a // polite live region explains why. That single constraint is what forbids // authoring a policy that gets LESS sensitive as budget runs out. // // One governing scalar — remaining budget — sets the chain's axial position // on the cone. "Alert torque" = current burn multiplier x the cone's local // radius at that position; fired/quiet, the derived multi-window rule // table, and the chain's drawn catenary sag all come from that product (a // value fires when the delivered torque exceeds the torque the mechanism // would carry if burn rate exactly equalled the authored threshold there — // algebraically just burn >= radius(x), read through the torque lens). The // rule table is a real , the screen-reader-primary surface, and // updates only on commit (drag release / keypress), never mid-drag. The // cone, barrel and chain are aria-hidden SVG+DOM decoration; the 4 control // points are real role=slider elements. Replay streams a recorded burn-rate // history through the same mechanism, spinning the barrel and stamping // where the escapement would have tripped against the CURRENT authored // policy. Reduced motion: the chain repositions instantly and the barrel // stops spinning; every value still updates and everything stays usable. // Colors are token classes only; --ns-accent appears only on drag/focus, // never as a data-state color. DOM + SVG + CSS only, no canvas. // --------------------------------------------------------------------------- export interface FuseeConeProps { /** * Initial policy: 4 trip-multiplier control points in burn-rate "x" * units, index 0 = full-budget end .. index 3 = exhausted end. Each must * be <= the one before it (monotone non-increasing); an out-of-order * default is silently clamped down on mount rather than crashing. * Default [14.4, 6, 2, 1] — the two headline values from the brief. */ defaultProfile?: [number, number, number, number]; /** Fires when a control-point drag RELEASES or a keystroke commits — never mid-drag. */ onPolicyChange?: (profile: [number, number, number, number]) => void; /** Initial remaining error-budget fraction, 0-100 (100 = full mainspring). */ defaultRemainingBudgetPct?: number; /** Initial observed burn rate, in multiples of nominal (1x = exactly on pace to exhaust the budget at period end). */ defaultCurrentBurnMultiplier?: number; /** * Recorded burn-rate history to stream through Replay. remainingBudgetPct * should be non-increasing across the array for the barrel to visibly * unwind. Falls back to a built-in sample incident. */ replayData?: { remainingBudgetPct: number; burn: number }[]; /** What SLO this policy protects, shown above the instrument. */ label?: string; /** Extra classes merged onto the rendered root element. */ className?: string; } // ---- geometry / domain constants ------------------------------------------ const CP_X = [0, 1 / 3, 2 / 3, 1] as const; // fixed axial positions of the 4 control points const MULT_MIN = 1; const MULT_MAX = 20; const DEFAULT_PROFILE: [number, number, number, number] = [14.4, 6, 2, 1]; const VIEW_W = 480; const VIEW_H = 200; const CY = 100; const BARREL_CX = 50; const BARREL_R = 32; const CONE_X0 = 118; const CONE_X1 = 452; const R_MIN_PIX = 3; const R_MAX_PIX = 62; const MAX_SAG = 24; const CONE_SAMPLES = 40; const TABLE_X = [0, 0.25, 0.5, 0.75, 1]; const TABLE_WINDOW = ["1h", "3h", "12h", "1d", "3d"]; const DEFAULT_REPLAY: { remainingBudgetPct: number; burn: number }[] = [ { remainingBudgetPct: 100, burn: 1.1 }, { remainingBudgetPct: 92, burn: 1.4 }, { remainingBudgetPct: 80, burn: 2.6 }, { remainingBudgetPct: 68, burn: 4.8 }, { remainingBudgetPct: 55, burn: 3.2 }, { remainingBudgetPct: 47, burn: 8.5 }, { remainingBudgetPct: 40, burn: 2.1 }, { remainingBudgetPct: 33, burn: 1.6 }, { remainingBudgetPct: 22, burn: 5.5 }, { remainingBudgetPct: 14, burn: 2.9 }, { remainingBudgetPct: 8, burn: 1.3 }, { remainingBudgetPct: 2, burn: 1.1 }, ]; const SPIKE_BURN = 25; // > MULT_MAX: always trips, whatever the policy or budget position — the gate's idempotent target const REPLAY_STEP_MS = 700; function clamp(n: number, lo: number, hi: number) { return Math.max(lo, Math.min(hi, n)); } function fmt(n: number) { if (!Number.isFinite(n)) return "0"; return n >= 10 ? Math.round(n).toString() : n.toFixed(1); } function sanitizeProfile(arr: number[]): [number, number, number, number] { const c = arr.map((v) => clamp(v, MULT_MIN, MULT_MAX)); for (let i = 1; i < 4; i++) c[i] = Math.min(c[i], c[i - 1]); return [c[0], c[1], c[2], c[3]]; } // ---- monotone cubic Hermite (Fritsch-Carlson) ------------------------------ // Guarantees the interpolated curve never overshoots between knots, so a // monotone non-increasing set of control points always produces a monotone // non-increasing curve everywhere in between — not just at the 4 points. function buildTangents(xs: readonly number[], ys: readonly number[]): number[] { const n = xs.length; const dx: number[] = []; const dy: number[] = []; const m: number[] = []; for (let i = 0; i < n - 1; i++) { dx.push(xs[i + 1] - xs[i]); dy.push(ys[i + 1] - ys[i]); m.push(dx[i] === 0 ? 0 : dy[i] / dx[i]); } const t: number[] = new Array(n); t[0] = m[0] ?? 0; t[n - 1] = m[n - 2] ?? 0; for (let i = 1; i < n - 1; i++) { if (m[i - 1] === 0 || m[i] === 0 || m[i - 1] * m[i] < 0) { t[i] = 0; } else { const w1 = 2 * dx[i] + dx[i - 1]; const w2 = dx[i] + 2 * dx[i - 1]; t[i] = (w1 + w2) / (w1 / m[i - 1] + w2 / m[i]); } } for (let i = 0; i < n - 1; i++) { if (m[i] === 0) { t[i] = 0; t[i + 1] = 0; continue; } const a = t[i] / m[i]; const b = t[i + 1] / m[i]; const s = a * a + b * b; if (s > 9) { const tau = 3 / Math.sqrt(s); t[i] = tau * a * m[i]; t[i + 1] = tau * b * m[i]; } } return t; } function evalHermite(xs: readonly number[], ys: readonly number[], t: number[], x: number): number { const n = xs.length; let i = 0; while (i < n - 2 && x > xs[i + 1]) i++; const h = xs[i + 1] - xs[i]; const s = h === 0 ? 0 : (x - xs[i]) / h; const s2 = s * s; const s3 = s2 * s; const h00 = 2 * s3 - 3 * s2 + 1; const h10 = s3 - 2 * s2 + s; const h01 = -2 * s3 + 3 * s2; const h11 = s3 - s2; return h00 * ys[i] + h10 * h * t[i] + h01 * ys[i + 1] + h11 * h * t[i + 1]; } function buildRadiusFn(ys: readonly number[]) { const t = buildTangents(CP_X, ys); return (x: number) => evalHermite(CP_X, ys, t, clamp(x, 0, 1)); } function rPix(value: number) { return clamp( R_MIN_PIX + ((value - MULT_MIN) / (MULT_MAX - MULT_MIN)) * (R_MAX_PIX - R_MIN_PIX), R_MIN_PIX, R_MAX_PIX ); } function screenX(x: number) { return CONE_X0 + clamp(x, 0, 1) * (CONE_X1 - CONE_X0); } function useReducedMotion() { const [reduced, setReduced] = useState(false); useEffect(() => { const mq = window.matchMedia("(prefers-reduced-motion: reduce)"); setReduced(mq.matches); const onChange = () => setReduced(mq.matches); mq.addEventListener("change", onChange); return () => mq.removeEventListener("change", onChange); }, []); return reduced; } export function FuseeCone({ defaultProfile, onPolicyChange, defaultRemainingBudgetPct = 100, defaultCurrentBurnMultiplier = 3, replayData, label = "Checkout latency SLO", className = "", }: FuseeConeProps) { const uid = useId(); const reduced = useReducedMotion(); const [profile, setProfile] = useState<[number, number, number, number]>(() => sanitizeProfile(defaultProfile ?? DEFAULT_PROFILE) ); const [remainingPct, setRemainingPct] = useState(clamp(defaultRemainingBudgetPct, 0, 100)); const [burn, setBurn] = useState(Math.max(0, defaultCurrentBurnMultiplier)); const [dragIndex, setDragIndex] = useState(null); const [dragPreviewValue, setDragPreviewValue] = useState(null); const [springBackIndex, setSpringBackIndex] = useState(null); const [announce, setAnnounce] = useState(""); const [replaying, setReplaying] = useState(false); const [tripLog, setTripLog] = useState([]); const trackRefs = useRef<(HTMLDivElement | null)[]>([null, null, null, null]); const gestureAnnouncedRef = useRef(false); const springTimeoutRef = useRef | null>(null); const replayTimerRef = useRef | null>(null); const replayIndexRef = useRef(0); const firedPrevRef = useRef(null); useEffect( () => () => { if (springTimeoutRef.current) clearTimeout(springTimeoutRef.current); if (replayTimerRef.current) clearInterval(replayTimerRef.current); }, [] ); // committed policy — feeds the

(updated on commit only) and replay's trip test const radiusFn = useMemo(() => buildRadiusFn(profile), [profile]); // live policy — feeds the drawn cone/chain, reacting mid-drag so the shape // being argued about is always what's on screen, even before release const effectiveProfile = useMemo<[number, number, number, number]>(() => { if (dragIndex === null || dragPreviewValue === null) return profile; const next = [...profile] as [number, number, number, number]; next[dragIndex] = dragPreviewValue; return next; }, [profile, dragIndex, dragPreviewValue]); const liveRadiusFn = useMemo(() => buildRadiusFn(effectiveProfile), [effectiveProfile]); const xCurrent = clamp(1 - remainingPct / 100, 0, 1); const radiusAtCurrent = liveRadiusFn(xCurrent); const ratio = radiusAtCurrent > 0 ? burn / radiusAtCurrent : Infinity; const torque = burn * radiusAtCurrent; const fired = ratio >= 1; // edge-triggered announcement on the escapement's own state changing — // not on every burn/budget tick, only the crossing itself useEffect(() => { if (firedPrevRef.current === null) { firedPrevRef.current = fired; return; } if (firedPrevRef.current !== fired) { firedPrevRef.current = fired; setAnnounce( fired ? `Escapement tripped — burn ${fmt(burn)}x meets or exceeds the ${fmt(radiusAtCurrent)}x threshold at ${Math.round(remainingPct)}% budget remaining.` : `Quiet — burn ${fmt(burn)}x is back under the ${fmt(radiusAtCurrent)}x threshold.` ); } // eslint-disable-next-line react-hooks/exhaustive-deps }, [fired]); const commitProfile = useCallback( (index: number, value: number) => { setProfile((prev) => { const next = [...prev] as [number, number, number, number]; next[index] = value; onPolicyChange?.(next); return next; }); }, [onPolicyChange] ); const triggerSpringBack = useCallback((index: number, dir: "above" | "below") => { setSpringBackIndex(index); if (springTimeoutRef.current) clearTimeout(springTimeoutRef.current); springTimeoutRef.current = setTimeout(() => setSpringBackIndex(null), 220); if (!gestureAnnouncedRef.current) { gestureAnnouncedRef.current = true; setAnnounce( dir === "above" ? "Cannot raise this point above the previous one." : "Cannot lower this point below the next one." ); } }, []); const bandMax = useCallback((i: number) => (i > 0 ? profile[i - 1] : MULT_MAX), [profile]); const bandMin = useCallback((i: number) => (i < 3 ? profile[i + 1] : MULT_MIN), [profile]); const updateFromClientY = useCallback( (index: number, clientY: number) => { const el = trackRefs.current[index]; if (!el) return; const rect = el.getBoundingClientRect(); const frac = clamp((clientY - rect.top) / rect.height, 0, 1); const viewY = frac * VIEW_H; const wantedPix = clamp(CY - viewY, R_MIN_PIX, R_MAX_PIX); const wantedValue = MULT_MIN + ((wantedPix - R_MIN_PIX) / (R_MAX_PIX - R_MIN_PIX)) * (MULT_MAX - MULT_MIN); const lo = bandMin(index); const hi = bandMax(index); const clamped = clamp(wantedValue, lo, hi); if (Math.abs(clamped - wantedValue) > 1e-6) { triggerSpringBack(index, wantedValue > hi ? "above" : "below"); } setDragPreviewValue(clamped); }, [bandMin, bandMax, triggerSpringBack] ); const onPointerDown = (index: number) => (e: React.PointerEvent) => { if (replaying) return; e.preventDefault(); gestureAnnouncedRef.current = false; trackRefs.current[index]?.setPointerCapture(e.pointerId); setDragIndex(index); setDragPreviewValue(profile[index]); updateFromClientY(index, e.clientY); }; const onPointerMove = (index: number) => (e: React.PointerEvent) => { if (dragIndex !== index) return; updateFromClientY(index, e.clientY); }; const endDrag = (index: number) => () => { if (dragIndex !== index) return; setDragIndex(null); if (dragPreviewValue !== null) commitProfile(index, dragPreviewValue); setDragPreviewValue(null); }; const onKeyDown = (index: number) => (e: React.KeyboardEvent) => { if (replaying) return; const cur = profile[index]; const lo = bandMin(index); const hi = bandMax(index); const STEP = 1.15; let next = cur; switch (e.key) { case "ArrowUp": case "ArrowRight": next = cur * STEP; break; case "ArrowDown": case "ArrowLeft": next = cur / STEP; break; case "PageUp": next = cur * STEP * STEP; break; case "PageDown": next = cur / (STEP * STEP); break; case "Home": next = lo; break; case "End": next = hi; break; default: return; } e.preventDefault(); gestureAnnouncedRef.current = false; const clamped = clamp(next, lo, hi); if (Math.abs(clamped - next) > 1e-6) { triggerSpringBack(index, next > hi ? "above" : "below"); } commitProfile(index, clamped); }; const stopReplay = useCallback(() => { if (replayTimerRef.current) { clearInterval(replayTimerRef.current); replayTimerRef.current = null; } setReplaying(false); }, []); const startReplay = useCallback(() => { const data = replayData && replayData.length > 0 ? replayData : DEFAULT_REPLAY; replayIndexRef.current = 0; setTripLog([]); setReplaying(true); const stepOnce = () => { const sample = data[replayIndexRef.current]; if (!sample) { stopReplay(); return; } setRemainingPct(sample.remainingBudgetPct); setBurn(sample.burn); const x = clamp(1 - sample.remainingBudgetPct / 100, 0, 1); const threshold = radiusFn(x); if (sample.burn >= threshold) { const line = `Would have tripped at ${Math.round(sample.remainingBudgetPct)}% budget remaining — burn ${fmt(sample.burn)}x >= ${fmt(threshold)}x threshold.`; setTripLog((log) => [...log, line]); setAnnounce(line); } replayIndexRef.current += 1; if (replayIndexRef.current >= data.length) stopReplay(); }; stepOnce(); replayTimerRef.current = setInterval(stepOnce, REPLAY_STEP_MS); }, [replayData, radiusFn, stopReplay]); // ---- diagram geometry ----------------------------------------------- const conePoints = useMemo(() => { const pts: { sx: number; r: number }[] = []; for (let k = 0; k < CONE_SAMPLES; k++) { const x = k / (CONE_SAMPLES - 1); pts.push({ sx: screenX(x), r: rPix(liveRadiusFn(x)) }); } return pts; }, [liveRadiusFn]); const coneTopD = "M " + conePoints.map((p) => `${p.sx.toFixed(1)},${(CY - p.r).toFixed(1)}`).join(" L "); const coneBottomD = "M " + conePoints.map((p) => `${p.sx.toFixed(1)},${(CY + p.r).toFixed(1)}`).join(" L "); const barrelAngle = (100 - remainingPct) * 10.8; // 3 full turns across the whole budget const tickX2 = BARREL_CX + (BARREL_R - 5); const tickY2 = CY; const contactX = screenX(xCurrent); const contactY = CY - rPix(radiusAtCurrent); const barrelRimX = BARREL_CX + BARREL_R; const barrelRimY = CY; const sagFrac = clamp(1 - Math.min(ratio, 1), 0.08, 1); const sagPix = sagFrac * MAX_SAG; const chainMidX = (barrelRimX + contactX) / 2; const chainMidY = (barrelRimY + contactY) / 2 + sagPix; const chainD = `M ${barrelRimX},${barrelRimY} Q ${chainMidX.toFixed(1)},${chainMidY.toFixed(1)} ${contactX.toFixed(1)},${contactY.toFixed(1)}`; const chainTransition = reduced ? "none" : "d 240ms cubic-bezier(0.16,1,0.3,1)"; const barrelTransition = reduced ? "none" : "transform 480ms cubic-bezier(0.16,1,0.3,1)"; const handleTransition = (i: number) => reduced || dragIndex === i ? "none" : "top 220ms cubic-bezier(0.34,1.56,0.64,1)"; const labelId = `${uid}-label`; const descId = `${uid}-desc`; return (

{label.toUpperCase()} {fired ? ( TRIPPED ) : ( QUIET )}

burn {fmt(burn)}x · {Math.round(remainingPct)}% budget remaining · needs {fmt(radiusAtCurrent)}x here

{/* diagram: barrel + cone + chain — decorative, all state lives in the sliders below */}

{/* 4 control points — the entire accessible/interactive surface of the diagram */} {CP_X.map((cx, i) => { const val = dragIndex === i && dragPreviewValue !== null ? dragPreviewValue : profile[i]; const yFrac = (CY - rPix(val)) / VIEW_H; const budgetPct = Math.round((1 - cx) * 100); return (

{ trackRefs.current[i] = el; }} data-fusee-track={i} className={`absolute top-0 h-full w-9 -translate-x-1/2 touch-none select-none ${replaying ? "" : "cursor-ns-resize"}`} style={{ left: `${(screenX(cx) / VIEW_W) * 100}%` }} onPointerDown={onPointerDown(i)} onPointerMove={onPointerMove(i)} onPointerUp={endDrag(i)} onPointerCancel={endDrag(i)} onLostPointerCapture={endDrag(i)} >

); })}

{/* manual scrub controls — the governing scalars, disabled while replay owns them */}

REMAINING BUDGET setRemainingPct(Number(e.target.value))} aria-label="Remaining error budget percent" className="mt-1 w-full accent-ns-accent disabled:opacity-40" /> CURRENT BURN RATE setBurn(Number(e.target.value))} aria-label="Current observed burn rate multiplier" className="mt-1 w-full accent-ns-accent disabled:opacity-40" />

{/* derived rule table — real HTML table, the screen-reader-primary surface */}

{TABLE_X.map((x, i) => ( ))}

Derived multi-window burn-rate alert rule table for {label}
Budget remaining	Window	Burn multiplier
{Math.round((1 - x) * 100)}%	{TABLE_WINDOW[i]}	{fmt(radiusFn(x))}x

{fired ? `Tripped: burn ${fmt(burn)}x meets or exceeds the ${fmt(radiusAtCurrent)}x threshold at ${Math.round(remainingPct)}% budget remaining.` : `Quiet: burn ${fmt(burn)}x is under the ${fmt(radiusAtCurrent)}x threshold at ${Math.round(remainingPct)}% budget remaining.`}

{tripLog.length > 0 ? (

{line}

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