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--------------------------------------------------------------------------- // IndexContour — a travel-time reach editor. One role=slider handle sets a // single governing scalar t (minutes); the reach is drawn as topographic- // style contour LINES (never a filled wash) re-thresholded at t, t-5, t-10... // from a caller-supplied per-node cost field via marching squares. Every // band is derived from that one field — none is independently authored — // so the shape is exactly as non-convex and network-hugging as the field // says it is. A Euclidean radius/speed fallback is structurally impossible // here: if the field has no finite costs yet, marching squares emits zero // segments at every level, so the "no data" state falls out of the // algorithm itself rather than a special-cased branch (the supplied // `roads` skeleton keeps drawing regardless, muted, so there is still // context on screen — never a circle standing in for missing data). // // INDEX-CONTOUR RULE: every 3rd line (15-minute multiples, a 3:1 ratio on // top of the 5-minute interval, matching USGS index-contour practice) is // drawn 2px --foreground with its minute value set INSIDE a break in the // stroke — a stroke-dasharray gap sized from the label's own measured // SVG bounding box, centered on the arc-length position of that band's // topmost point. Intermediate lines are 1px --ns-muted, unlabeled. // // GALTON RULE: bands must be non-convex and hug the network, never a // circle. That property lives entirely in the supplied cost field (a real // field, built from graph distances, produces exactly this); marching // squares just re-thresholds whatever shape the field already has. // // EMERGENCE: growing t does not fade a new band in — fading reads as // opacity, not reach. Each newly-revealed band mounts scaled down toward // the field's own cost-minimum node (its "origin"), then a transform // (never opacity) eases it out to scale(1) over 220ms ease-out-expo, so it // visibly inflates outward from the previous line. prefers-reduced-motion // skips the tween and renders the settled shape directly — still fully // legible, just not animated. // --------------------------------------------------------------------------- const LEVEL_STEP = 5; // minutes between contour lines — sub-5 bands sit // closer together than a label is tall at UI scale, so 5 is the floor. const INDEX_EVERY = 3; // every 3rd line is an index line (USGS 3:1 ratio) const INDEX_STEP = LEVEL_STEP * INDEX_EVERY; // 15 const GRID_COLS = 40; const GRID_ROWS = 26; const CELL = 13; // px per grid step — a real, fixed pixel grid (no viewBox // rescaling), so a 2px/1px stroke and a getBBox() label measurement are // both already in true screen px with nothing to reconcile. const EMERGE_MS = 220; const EASE_OUT_EXPO = "cubic-bezier(0.16, 1, 0.3, 1)"; const LABEL_PAD = 5; // px each side of the measured label inside its gap type Pt = [number, number]; export interface ContourCostField { /** grid width, in nodes */ cols: number; /** grid height, in nodes */ rows: number; /** * minutes to reach each node, row-major (`values[row*cols+col]`). * `Infinity` (or omit/all-Infinity) means "no data yet" — contours then * render nothing at any level, by construction, not as a special case. */ values: number[]; /** underlying road polylines, in node [col,row] coordinates — drawn as * faint permanent context, and the only thing shown before `values` has * any finite entries. */ roads?: Pt[][]; /** metres represented by one grid-cell edge, for the derived area readout. * default 90 (a typical short city block). */ metersPerCell?: number; } export interface IndexContourProps { /** the per-node travel-time field contours are re-thresholded from. */ costField?: ContourCostField; /** controlled value, in minutes (quantized to a multiple of 5). */ value?: number; /** uncontrolled initial value, in minutes. default 25 */ defaultValue?: number; /** minimum minutes reachable via the control. default 5 */ min?: number; /** maximum minutes reachable via the control; defaults to the field's own * reachable ceiling rounded up to the next 15-minute index line. */ max?: number; /** fired with the new value (always a multiple of 5) on drag/keyboard change */ onValueChange?: (minutes: number) => void; /** accessible name for the slider; also the visible eyebrow label */ label?: string; /** people per km², to append a population estimate to the readout */ populationPerKm2?: number; /** extra classes merged onto the rendered root element */ className?: string; } // -- geometry: marching squares over a scalar grid -------------------------- function interp(level: number, v0: number, v1: number, p0: Pt, p1: Pt): Pt { const f0 = Number.isFinite(v0); const f1 = Number.isFinite(v1); let t: number; if (f0 && f1) { t = v1 === v0 ? 0.5 : (level - v0) / (v1 - v0); } else if (!f0 && f1) { t = 0.1; // barrier at p0 — hug tight against it, not a linear guess } else if (f0 && !f1) { t = 0.9; // barrier at p1 } else { t = 0.5; } t = Math.min(1, Math.max(0, t)); return [p0[0] + (p1[0] - p0[0]) * t, p0[1] + (p1[1] - p0[1]) * t]; } function marchingSquaresSegments( values: number[], cols: number, rows: number, level: number, cell: number ): [Pt, Pt][] { const segments: [Pt, Pt][] = []; const at = (i: number, j: number) => values[j * cols + i] ?? Infinity; for (let j = 0; j < rows - 1; j++) { for (let i = 0; i < cols - 1; i++) { const tl = at(i, j); const tr = at(i + 1, j); const br = at(i + 1, j + 1); const bl = at(i, j + 1); const c = (tl <= level ? 8 : 0) | (tr <= level ? 4 : 0) | (br <= level ? 2 : 0) | (bl <= level ? 1 : 0); if (c === 0 || c === 15) continue; const x0 = i * cell, x1 = (i + 1) * cell, y0 = j * cell, y1 = (j + 1) * cell; const pTL: Pt = [x0, y0], pTR: Pt = [x1, y0], pBR: Pt = [x1, y1], pBL: Pt = [x0, y1]; const top = () => interp(level, tl, tr, pTL, pTR); const right = () => interp(level, tr, br, pTR, pBR); const bottom = () => interp(level, bl, br, pBL, pBR); const left = () => interp(level, tl, bl, pTL, pBL); switch (c) { case 1: segments.push([left(), bottom()]); break; case 2: segments.push([bottom(), right()]); break; case 3: segments.push([left(), right()]); break; case 4: segments.push([top(), right()]); break; case 5: segments.push([top(), right()]); segments.push([bottom(), left()]); break; case 6: segments.push([top(), bottom()]); break; case 7: segments.push([top(), left()]); break; case 8: segments.push([top(), left()]); break; case 9: segments.push([top(), bottom()]); break; case 10: segments.push([top(), left()]); segments.push([bottom(), right()]); break; case 11: segments.push([top(), right()]); break; case 12: segments.push([left(), right()]); break; case 13: segments.push([bottom(), right()]); break; case 14: segments.push([left(), bottom()]); break; } } } return segments; } function polylineLength(pts: Pt[]): number { let l = 0; for (let i = 1; i < pts.length; i++) { l += Math.hypot(pts[i][0] - pts[i - 1][0], pts[i][1] - pts[i - 1][1]); } return l; } // Stitches loose segments (shared-endpoint pairs) into polylines — closed // loops where the field forms an island, open chains where a partial band // clips at the grid edge or against an unreachable pocket. Degenerate // zero-length chains (an exact-tie lattice point matched on all four // corners) are dropped rather than rendered as a phantom dot. function stitchSegments(segments: [Pt, Pt][]): Pt[][] { const key = (p: Pt) => `${p[0].toFixed(2)},${p[1].toFixed(2)}`; const used = new Array(segments.length).fill(false); const byKey = new Map(); segments.forEach((seg, idx) => { for (const p of seg) { const k = key(p); const arr = byKey.get(k); if (arr) arr.push(idx); else byKey.set(k, [idx]); } }); const polylines: Pt[][] = []; for (let start = 0; start < segments.length; start++) { if (used[start]) continue; used[start] = true; const chain: Pt[] = [segments[start][0], segments[start][1]]; let extended = true; while (extended) { extended = false; const tailKey = key(chain[chain.length - 1]); for (const idx of byKey.get(tailKey) ?? []) { if (used[idx]) continue; const [a, b] = segments[idx]; if (key(a) === tailKey) { chain.push(b); used[idx] = true; extended = true; break; } if (key(b) === tailKey) { chain.push(a); used[idx] = true; extended = true; break; } } } extended = true; while (extended) { extended = false; const headKey = key(chain[0]); for (const idx of byKey.get(headKey) ?? []) { if (used[idx]) continue; const [a, b] = segments[idx]; if (key(a) === headKey) { chain.unshift(b); used[idx] = true; extended = true; break; } if (key(b) === headKey) { chain.unshift(a); used[idx] = true; extended = true; break; } } } polylines.push(chain); } return polylines.filter((l) => polylineLength(l) > 0.5); } interface Band { level: number; isIndex: boolean; lines: Pt[][]; /** arc-length position, within its longest line, of that line's topmost * vertex — where an index label anchors, if the line is long enough. */ labelLineIdx: number; labelArc: number; labelPt: Pt | null; } function buildBand( values: number[], cols: number, rows: number, level: number, cell: number ): Band { const segs = marchingSquaresSegments(values, cols, rows, level, cell); const lines = stitchSegments(segs); const isIndex = level % INDEX_STEP === 0; let labelLineIdx = -1; let labelArc = 0; let labelPt: Pt | null = null; if (isIndex && lines.length) { let bestLen = -1; lines.forEach((line, li) => { const len = polylineLength(line); if (len > bestLen) { bestLen = len; labelLineIdx = li; } }); if (labelLineIdx >= 0 && bestLen > 40) { const line = lines[labelLineIdx]; let topIdx = 0; for (let i = 1; i < line.length; i++) { if (line[i][1] < line[topIdx][1]) topIdx = i; } let arc = 0; for (let i = 1; i <= topIdx; i++) { arc += Math.hypot( line[i][0] - line[i - 1][0], line[i][1] - line[i - 1][1] ); } labelArc = arc; labelPt = line[topIdx]; } } return { level, isIndex, lines, labelLineIdx, labelArc, labelPt }; } function pointsToPath(pts: Pt[]): string { if (!pts.length) return ""; const closed = pts.length > 2 && Math.hypot(pts[0][0] - pts[pts.length - 1][0], pts[0][1] - pts[pts.length - 1][1]) < 0.5; let d = `M${pts[0][0].toFixed(1)},${pts[0][1].toFixed(1)}`; for (let i = 1; i < pts.length; i++) d += `L${pts[i][0].toFixed(1)},${pts[i][1].toFixed(1)}`; if (closed) d += "Z"; return d; } function findOriginIndex(values: number[]): number { let idx = 0; let best = Infinity; for (let i = 0; i < values.length; i++) { if (values[i] < best) { best = values[i]; idx = i; } } return idx; } export function IndexContour({ costField, value, defaultValue = 25, min = LEVEL_STEP, max, onValueChange, label = "Reach", populationPerKm2, className = "", }: IndexContourProps) { const cols = costField?.cols ?? GRID_COLS; const rows = costField?.rows ?? GRID_ROWS; const values = useMemo( () => costField?.values ?? new Array(cols * rows).fill(Infinity), [costField, cols, rows] ); const roads = costField?.roads ?? []; const metersPerCell = costField?.metersPerCell ?? 90; const fieldMax = useMemo(() => { let m = 0; for (const v of values) if (Number.isFinite(v) && v > m) m = v; return m; }, [values]); const safeMin = Math.max(LEVEL_STEP, Math.round(min / LEVEL_STEP) * LEVEL_STEP); const autoMax = Math.max(30, Math.min(90, Math.ceil((fieldMax || 60) / INDEX_STEP) * INDEX_STEP)); const safeMax = Math.max( safeMin + LEVEL_STEP, Math.round((max ?? autoMax) / LEVEL_STEP) * LEVEL_STEP ); const quantize = (v: number) => Math.min(safeMax, Math.max(safeMin, Math.round(v / LEVEL_STEP) * LEVEL_STEP)); const isControlled = value !== undefined; const [internal, setInternal] = useState(() => quantize(defaultValue)); const current = isControlled ? quantize(value as number) : internal; const currentRef = useRef(current); currentRef.current = current; const commit = (v: number) => { const q = quantize(v); if (q === currentRef.current) return; if (!isControlled) setInternal(q); onValueChange?.(q); }; const width = (cols - 1) * CELL; const height = (rows - 1) * CELL; const originIdx = useMemo(() => findOriginIndex(values), [values]); const originPt: Pt = [ (originIdx % cols) * CELL, Math.floor(originIdx / cols) * CELL, ]; const bands = useMemo(() => { const arr: Band[] = []; for (let lvl = LEVEL_STEP; lvl <= current; lvl += LEVEL_STEP) { arr.push(buildBand(values, cols, rows, lvl, CELL)); } return arr; }, [values, cols, rows, current]); const reachableCount = useMemo(() => { let n = 0; for (const v of values) if (Number.isFinite(v) && v <= current) n++; return n; }, [values, current]); const cellAreaKm2 = (metersPerCell / 1000) * (metersPerCell / 1000); const areaKm2 = Math.round(reachableCount * cellAreaKm2); const popText = populationPerKm2 !== undefined ? `, approx. ${Math.round(areaKm2 * populationPerKm2).toLocaleString()} people` : ""; const bandCount = bands.length; const valueText = `${current} minutes, reach covers approx. ${areaKm2} km²${popText}`; const liveText = bandCount ? `${bandCount} contour band${bandCount === 1 ? "" : "s"} to ${current} minutes · approx. ${areaKm2} km² reachable${popText}` : `no reach data yet at ${current} minutes`; // -- refs for imperative label measurement + emergence animation -------- // Keyed by "level:lineIndex" (not just level) because a band can be // multiple disjoint loops — the park obstacle in the demo field splits // reach into two separate polylines at the same level — and every one of // them needs its own emerge transform, not just the one carrying the label. const pathRefs = useRef(new Map()); const textRefs = useRef(new Map()); const bornKeysRef = useRef(new Set()); const reducedRef = useRef(false); useEffect(() => { reducedRef.current = window.matchMedia( "(prefers-reduced-motion: reduce)" ).matches; const mq = window.matchMedia("(prefers-reduced-motion: reduce)"); const onChange = () => { reducedRef.current = mq.matches; }; mq.addEventListener("change", onChange); return () => mq.removeEventListener("change", onChange); }, []); // Measure each index label's real rendered width and size the stroke gap // from it; also drive the emerge-from-previous-line transform on newly // added bands. Runs before paint so neither ever flashes ungapped/unscaled. useLayoutEffect(() => { const currentKeys = new Set(); const newlyBorn: SVGPathElement[] = []; for (const band of bands) { band.lines.forEach((line, li) => { const compositeKey = `${band.level}:${li}`; currentKeys.add(compositeKey); const path = pathRefs.current.get(compositeKey); if (!path) return; if (band.isIndex && band.labelPt && li === band.labelLineIdx) { const text = textRefs.current.get(band.level); const total = polylineLength(line); let gap = LABEL_PAD * 2 + 24; // safe fallback before first measure if (text) { try { const bbox = text.getBBox(); gap = bbox.width + LABEL_PAD * 2; } catch { // getBBox can throw on a display:none ancestor; keep the fallback } } gap = Math.min(gap, total * 0.45); if (total > gap + 4) { const solid = total - gap; path.setAttribute("stroke-dasharray", `${solid.toFixed(1)} ${gap.toFixed(1)}`); const offset = -(band.labelArc + gap / 2); path.setAttribute("stroke-dashoffset", offset.toFixed(1)); } else { path.removeAttribute("stroke-dasharray"); path.removeAttribute("stroke-dashoffset"); } } else { path.removeAttribute("stroke-dasharray"); path.removeAttribute("stroke-dashoffset"); } if (!bornKeysRef.current.has(compositeKey)) { if (reducedRef.current) { path.style.transition = "none"; path.style.transform = "none"; } else { path.style.transformOrigin = `${originPt[0]}px ${originPt[1]}px`; path.style.transition = "none"; path.style.transform = "scale(0.9)"; newlyBorn.push(path); } } }); } if (newlyBorn.length) { // force a layout flush so the browser commits every "from" frame // before the next write flips them to the eased "to" frame. void newlyBorn[0]?.getBoundingClientRect(); requestAnimationFrame(() => { for (const path of newlyBorn) { path.style.transition = `transform ${EMERGE_MS}ms ${EASE_OUT_EXPO}`; path.style.transform = "scale(1)"; } }); } bornKeysRef.current = currentKeys; // eslint-disable-next-line react-hooks/exhaustive-deps }, [bands, originPt[0], originPt[1]]); // -- slider control ------------------------------------------------------- const trackRef = useRef(null); const onKeyDown = (e: React.KeyboardEvent) => { let next: number | null = null; switch (e.key) { case "ArrowRight": case "ArrowUp": next = currentRef.current + LEVEL_STEP; break; case "ArrowLeft": case "ArrowDown": next = currentRef.current - LEVEL_STEP; break; case "PageUp": next = currentRef.current + INDEX_STEP; break; case "PageDown": next = currentRef.current - INDEX_STEP; break; case "Home": next = safeMin; break; case "End": next = safeMax; break; default: return; } e.preventDefault(); commit(next); }; const dragFromClientX = (clientX: number) => { const track = trackRef.current; if (!track) return; const rect = track.getBoundingClientRect(); const frac = rect.width > 0 ? (clientX - rect.left) / rect.width : 0; const v = safeMin + frac * (safeMax - safeMin); commit(v); }; const draggingRef = useRef(false); const onPointerDown = (e: React.PointerEvent) => { draggingRef.current = true; trackRef.current?.setPointerCapture(e.pointerId); trackRef.current?.focus({ preventScroll: true }); dragFromClientX(e.clientX); }; const onPointerMove = (e: React.PointerEvent) => { if (!draggingRef.current) return; dragFromClientX(e.clientX); }; const onPointerUp = () => { draggingRef.current = false; }; const fillFrac = (current - safeMin) / (safeMax - safeMin || 1); return (

{label}

{safeMin} {safeMax} min

{liveText}

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