Files
pbakaus_impeccable/skill/scripts/lib/font-fingerprint.mjs
T
95294e464a font-match v2: fingerprint the comp lettering and pick candidates from a Google Fonts catalog index
lib/font-fingerprint.mjs replaces the three-number fingerprint with
size-invariant shape features (x-height ratio, stroke contrast, stem width,
run-length quantiles, roundness, serif signal, width spread) and a
noise-normalized distance; family recall on a held-out self-test rose from
13% to 72% top-5. data/font-index.json carries the whole Google Fonts
catalog (3,092 faces at two cap sizes, 707 KB); font-match --rank fingerprints
the comp crop, takes the 25 nearest faces from the index (plus the model's
own names), renders them at the comp's cap height, ranks by the same
distance, and prints a proof sheet and the CSS to use. scripts/build-font-
index.mjs rebuilds the index at release time.

AI-assisted (Claude).

Co-Authored-By: Claude <noreply@anthropic.com>
2026-08-28 06:13:59 +05:00

419 lines
21 KiB
JavaScript

/**
* font-fingerprint: size-invariant, text-robust shape features for lettering
* in a raster (a comp crop or a rendered sample). fingerprint(img) returns the
* feature vector; distance(a, b) compares two vectors over noise-normalized,
* weighted features. Used by font-match.mjs (comp measurement and ranking)
* and by the catalog index build (scripts/build-font-index.mjs at the repo root). Depends only on
* lib/image-metrics.mjs and lib/raster.mjs.
*
* Every measure is taken per text line and normalized by R, the line's
* reference height (median of the tallest column heights above the baseline:
* the cap line on an all-caps line, the ascender line on a mixed line), so
* the same face gives the same numbers at any point size; per-glyph measures
* are medians so the numbers survive a change of text. Small crops are
* upsampled (bilinear) so R is at least 24px, and stroke runs are measured
* with antialiased edge pixels counted by coverage, so stem widths do not
* fatten at small sizes.
*
* Features (all in R units unless noted; null when not measurable):
* advance/advTall/advX median glyph width over baseline glyphs / tall glyphs / x-height glyphs
* advCV spread of glyph widths (std/median): mono ~0.15, sans ~0.3, script > 0.5
* gap median inter-glyph gap
* xRatio x-line / R (null on all-caps lines)
* descRatio descender depth (90th pct)
* stemW median horizontal ink run in the x band (stem width)
* contrast stem width / median thin (vertical) run: didone high, grotesque ~1
* serif foot width / mid-stem width on stems that reach the baseline
* roundFrac fraction of glyphs with bbox aspect > 0.9
* densTall / densX ink / bbox area for tall / x-height glyphs (weight)
* runDensity horizontal ink runs per row per R of line width (stroke busyness)
* vprof0..9 normalized vertical ink profile from 0.35R below baseline to 1.05R above
* hrun25/50/75/90 quantiles of horizontal run lengths over the letter body
* vrun25/50/75/90 quantiles of vertical run lengths over the whole line
* colq25/75 quantiles of column heights above the baseline
* wq25/75 quantiles of glyph widths
* Also returned: lines, glyphs, capHeightPx (R in source pixels), allCaps, inkIsDark,
* upsampled, weight (densTall, so v1 callers keep a weight field).
*/
import { toGray } from './image-metrics.mjs';
import { resize } from './raster.mjs';
function otsu(gray) {
const hist = new Float64Array(256);
for (let i = 0; i < gray.data.length; i++) hist[Math.max(0, Math.min(255, Math.round(gray.data[i])))]++;
const total = gray.data.length;
let sum = 0; for (let i = 0; i < 256; i++) sum += i * hist[i];
let sumB = 0, wB = 0, best = 0, thr = 128;
for (let t = 0; t < 256; t++) {
wB += hist[t]; if (!wB) continue;
const wF = total - wB; if (!wF) break;
sumB += t * hist[t];
const mB = sumB / wB, mF = (sum - sumB) / wF;
const between = wB * wF * (mB - mF) ** 2;
if (between > best) { best = between; thr = t; }
}
return thr;
}
const med = (a) => { if (!a.length) return null; const s = [...a].sort((p, q) => p - q); const m = s.length >> 1; return s.length % 2 ? s[m] : (s[m - 1] + s[m]) / 2; };
const pct = (a, p) => { if (!a.length) return null; const s = [...a].sort((p, q) => p - q); return s[Math.min(s.length - 1, Math.floor(p * s.length))]; };
const mean = (a) => (a.length ? a.reduce((s, x) => s + x, 0) / a.length : null);
/** Binarize; returns { W, H, ink: Uint8Array, inkIsDark }. */
function binarize(img) {
const g = toGray(img);
let thr = otsu(g);
let dark = 0; for (let i = 0; i < g.data.length; i++) if (g.data[i] < thr) dark++;
// a two-level raster (no antialiasing) puts the Otsu threshold on the dark
// level itself; step it up so that level counts as ink
if (!dark) { thr += 1; for (let i = 0; i < g.data.length; i++) if (g.data[i] < thr) dark++; }
const inkIsDark = dark <= g.data.length / 2;
const ink = new Uint8Array(g.data.length);
let sI = 0, nI = 0, sG = 0, nG = 0;
for (let i = 0; i < g.data.length; i++) {
const on = (inkIsDark ? g.data[i] < thr : g.data[i] >= thr) ? 1 : 0;
ink[i] = on;
if (on) { sI += g.data[i]; nI++; } else { sG += g.data[i]; nG++; }
}
const inkLevel = nI ? sI / nI : (inkIsDark ? 0 : 255), groundLevel = nG ? sG / nG : (inkIsDark ? 255 : 0);
// coverage per pixel: 0 = ground, 1 = ink, linear between the two class means, so
// antialiased edge pixels count fractionally and stroke widths do not fatten at small sizes
const covA = new Float32Array(g.data.length);
const den = groundLevel - inkLevel || 1;
for (let i = 0; i < g.data.length; i++) covA[i] = Math.max(0, Math.min(1, (groundLevel - g.data[i]) / den));
const cov = (i) => covA[i];
return { W: g.width, H: g.height, ink, inkIsDark, cov, covA };
}
/** Text lines from the row-ink profile (same rules as font-match v1). */
function findLines(bin) {
const { W, H, ink } = bin;
const rowInk = new Uint32Array(H);
for (let y = 0; y < H; y++) { let c = 0; const o = y * W; for (let x = 0; x < W; x++) c += ink[o + x]; rowInk[y] = c; }
const floor = Math.max(1, W * 0.004);
const runs = [];
let y = 0;
while (y < H) {
if (rowInk[y] > floor) {
const y0 = y; while (y < H && (rowInk[y] > floor || (y + 1 < H && rowInk[y + 1] > floor))) y++;
if (y - y0 >= 4) runs.push({ y0, y1: y });
} else y++;
}
const lines = [];
for (const run of runs) {
let peak = 0; for (let yy = run.y0; yy < run.y1; yy++) peak = Math.max(peak, rowInk[yy]);
const valley = peak * 0.15;
let start = run.y0, inValley = false, valleyStart = 0;
for (let yy = run.y0; yy < run.y1; yy++) {
const low = rowInk[yy] < valley;
if (low && !inValley) { inValley = true; valleyStart = yy; }
if (!low && inValley) {
inValley = false;
if (yy - valleyStart >= 3 && valleyStart - start >= 4) { lines.push({ y0: start, y1: valleyStart, run }); start = yy; }
}
}
if (run.y1 - start >= 4) lines.push({ y0: start, y1: run.y1, run });
}
// A piece split off inside one run with a fraction of the ink of the text
// lines is not a line: a thin band of ascenders or tittles above the x band
// (few letters reach it, so the valley rule fires) or a stray rule. Ascender
// bands merge back into the line below them; anything else is dropped.
for (const ln of lines) { let m = 0; for (let yy = ln.y0; yy < ln.y1; yy++) m += rowInk[yy]; ln.mass = m; }
const maxMass = Math.max(0, ...lines.map((l) => l.mass));
const merged = [];
for (let i = 0; i < lines.length; i++) {
const ln = lines[i];
if (ln.mass >= maxMass * 0.3) { merged.push({ y0: ln.y0, y1: ln.y1 }); continue; }
const next = lines[i + 1];
if (next && next.run === ln.run && next.mass >= maxMass * 0.3 && (ln.y1 - ln.y0) <= (next.y1 - next.y0) * 0.5) { next.y0 = ln.y0; }
}
return { lines: merged, rowInk };
}
/** Feature names in fingerprint order (used by distance). */
const VBINS = 10, HQ = [0.25, 0.5, 0.75, 0.9];
export const FEATURES = ['advance', 'advTall', 'advX', 'advCV', 'gap', 'xRatio', 'descRatio', 'stemW', 'contrast', 'serif', 'roundFrac', 'densTall', 'densX', 'runDensity',
...Array.from({ length: VBINS }, (_, i) => `vprof${i}`), ...HQ.map((q) => `hrun${Math.round(q * 100)}`), ...HQ.map((q) => `vrun${Math.round(q * 100)}`), 'colq25', 'colq75', 'wq25', 'wq75'];
/** Center of the densest window of width tol in a list of values, and its count. */
function modeOf(vals, tol) {
let best = null, bestC = -1;
const s = [...vals].sort((a, b) => a - b);
let j = 0;
for (let i = 0; i < s.length; i++) {
while (s[i] - s[j] > tol) j++;
const c = i - j + 1;
if (c > bestC) { bestC = c; best = (s[i] + s[j]) / 2; }
}
return { v: best, n: bestC };
}
/**
* Per-line vertical metrics from column extrema, which do not need glyphs to
* be separable. baseline = mode of column bottoms. R (the reference height)
* is the top line of the tallest cluster: the cap line on an all-caps line,
* the ascender line (or the cap line when caps are taller) on a mixed line.
* The x-line is a second mode of column heights well below R; when there is
* none the line is read as all-caps.
*/
function lineMetrics(bin, ln) {
const { W, ink, cov } = bin;
const cols = [];
for (let x = 0; x < W; x++) {
let top = -1, bot = -1;
for (let yy = ln.y0; yy < ln.y1; yy++) if (ink[yy * W + x]) { if (top < 0) top = yy; bot = yy + 1; }
if (top < 0) continue;
// sub-pixel edges from the antialiased boundary pixel's coverage
const t = top > 0 ? top - cov((top - 1) * W + x) : top;
const b = bot < bin.H ? bot + cov(bot * W + x) : bot;
cols.push({ x, top: t, bot: b });
}
if (cols.length < 8) return null;
const roughH = pct(cols.map((c) => c.bot - c.top), 0.9);
const tol = Math.max(1, Math.round(roughH * 0.04));
const baseF = modeOf(cols.map((c) => c.bot), tol).v;
const base = Math.round(baseF);
const hs = cols.filter((c) => c.bot <= baseF + tol * 1.5).map((c) => baseF - c.top).filter((h) => h > 0);
if (hs.length < 8) return null;
const hMaxAbs = pct(hs, 0.995);
const topCluster = hs.filter((h) => h >= hMaxAbs * 0.94);
const R = med(topCluster);
if (!R || R < 4) return null;
const lowHs = hs.filter((h) => h >= R * 0.3 && h <= R * 0.86);
let xh = null;
if (lowHs.length >= Math.max(6, hs.length * 0.12)) {
const m = modeOf(lowHs, tol);
if (m.n >= Math.max(4, lowHs.length * 0.25)) xh = m.v;
}
const dsc = cols.filter((c) => c.bot > baseF + tol * 1.5 && c.top < baseF - R * 0.3).map((c) => (c.bot - baseF) / R);
const descRatio = dsc.length >= 4 ? pct(dsc, 0.9) : null;
return { base, R, cap: R, xh, descRatio, tol, xL: cols[0].x, xR: cols[cols.length - 1].x + 1, hs };
}
/** Glyph boxes: column runs of ink inside the x band, so ascender/descender bridges do not merge letters. */
function segment(bin, ln, m) {
const { W, ink } = bin;
const bandTop = Math.max(ln.y0, Math.round(m.base - (m.xh || m.cap * 0.6)));
const bandH = m.base - bandTop;
const thr = 1;
const colBand = new Uint32Array(W);
for (let yy = bandTop; yy < m.base; yy++) { const o = yy * W; for (let x = m.xL; x < m.xR; x++) colBand[x] += ink[o + x]; }
const runs = [];
let x = m.xL;
while (x < m.xR) {
if (colBand[x] >= thr) { const x0 = x; while (x < m.xR && colBand[x] >= thr) x++; runs.push({ x0, x1: x }); } else x++;
}
const out = [];
for (const r of runs) {
let top = -1, bot = -1, area = 0;
for (let yy = ln.y0; yy < ln.y1; yy++) {
let c = 0, cv = 0; const o = yy * W; for (let xx = r.x0; xx < r.x1; xx++) { c += ink[o + xx]; cv += bin.covA[o + xx]; }
if (c) { if (top < 0) top = yy; bot = yy + 1; }
area += cv;
}
if (top >= 0) out.push({ x0: r.x0, x1: r.x1, w: r.x1 - r.x0, top, bot, h: bot - top, area });
}
return out;
}
function measure(bin, lines) {
const { W, H, ink, covA } = bin;
// run lengths with the antialiased edge pixels counted by coverage
const hLen = (o, x0, x1) => { let s = 0; for (let x = Math.max(0, x0 - 1); x < Math.min(W, x1 + 1); x++) s += covA[o + x]; return s; };
const vLen = (x, y0, y1) => { let s = 0; for (let y = Math.max(0, y0 - 1); y < Math.min(H, y1 + 1); y++) s += covA[y * W + x]; return s; };
let glyphN = 0;
const per = { xh: [], desc: [], runDensity: [] };
let allCapsLines = 0;
const vprof = new Float64Array(VBINS); const hruns = [], vruns = [], colHs = [], widths = [];
const advTall = [], advAll = [], advX = [], gaps = [], stems = [], thins = [], serifR = [], round = [], densTall = [], densX = [];
let capSum = 0, capN = 0;
for (const ln of lines) {
const m = lineMetrics(bin, ln);
if (!m) continue;
const { base, cap, xh, tol, xL, xR } = m;
capSum += cap; capN++;
if (xh) per.xh.push(xh / cap);
if (!xh) allCapsLines++;
if (m.descRatio != null) per.desc.push(m.descRatio);
for (const h of m.hs) colHs.push(h / cap);
// vertical ink profile from 0.35R below the baseline to 1.05R above, VBINS bins
for (let yy = ln.y0; yy < ln.y1; yy++) {
const u = (base - yy - 0.5) / cap; // height above baseline in R units
const bi = Math.floor((u + 0.35) / 1.4 * VBINS);
if (bi < 0 || bi >= VBINS) continue;
let c = 0; const o = yy * W; for (let x = xL; x < xR; x++) c += ink[o + x];
vprof[bi] += c;
}
// horizontal run lengths over the whole line body (x band to cap line), vertical run lengths over all columns
for (let yy = Math.max(ln.y0, Math.round(base - cap)); yy < base; yy++) {
const o = yy * W; let x = xL;
while (x < xR) { if (ink[o + x]) { const x0 = x; while (x < xR && ink[o + x]) x++; hruns.push(hLen(o, x0, x) / cap); } else x++; }
}
for (let x = xL; x < xR; x++) {
let yy = ln.y0;
while (yy < ln.y1) { if (ink[yy * W + x]) { const y0 = yy; while (yy < ln.y1 && ink[yy * W + x]) yy++; vruns.push(vLen(x, y0, yy) / cap); } else yy++; }
}
const gl = segment(bin, ln, m);
const G = gl.filter((g) => g.w >= cap * 0.12 && (base - g.top) >= cap * 0.3);
glyphN += G.length;
const onBase = G.filter((g) => Math.abs(g.bot - base) <= tol * 1.5);
const capG = onBase.filter((g) => base - g.top >= cap * 0.88);
const xs = xh ? onBase.filter((g) => Math.abs(base - g.top - xh) <= Math.max(tol * 1.5, cap * 0.05)) : [];
for (const g of capG) { advTall.push(g.w / cap); densTall.push(g.area / (g.w * g.h)); }
for (const g of xs) { densX.push(g.area / (g.w * g.h)); advX.push(g.w / cap); }
for (const g of onBase) { advAll.push(g.w / cap); widths.push(g.w / cap); round.push(g.w / (base - g.top) > 0.9 ? 1 : 0); }
for (let i = 0; i + 1 < G.length; i++) { const gap = G[i + 1].x0 - G[i].x1; if (gap >= 0 && gap < cap * 0.6) gaps.push(gap / cap); }
const xTop = base - (xh || cap * 0.55);
const bandTop = Math.round(xTop + (base - xTop) * 0.2), bandBot = Math.round(base - (base - xTop) * 0.2);
let runCount = 0, runRows = 0;
for (let yy = bandTop; yy < bandBot; yy++) {
const o = yy * W; let x = xL; runRows++;
while (x < xR) { if (ink[o + x]) { const x0 = x; while (x < xR && ink[o + x]) x++; const L = hLen(o, x0, x); runCount++; if (L < cap * 0.5) stems.push(L / cap); } else x++; }
}
if (runRows) per.runDensity.push((runCount / runRows) / ((xR - xL) / cap));
for (let x = xL; x < xR; x++) {
let yy = ln.y0;
while (yy < ln.y1) { if (ink[yy * W + x]) { const y0 = yy; while (yy < ln.y1 && ink[yy * W + x]) yy++; const L = vLen(x, y0, yy); if (L < cap * 0.35) thins.push(L / cap); } else yy++; }
}
// serif: stems that run straight to the baseline; foot width vs mid-stem width
const runAt = (yy, x) => { const o = yy * W; if (!ink[o + x]) return 0; let a = x, b = x; while (a > xL && ink[o + a - 1]) a--; while (b + 1 < xR && ink[o + b + 1]) b++; return hLen(o, a, b + 1); };
const yMid = Math.round(base - cap * 0.4), yHi = Math.round(base - cap * 0.18), yFoot = base - Math.max(1, Math.round(cap * 0.04));
let x = xL;
while (x < xR) {
let yy = base - 1; if (!ink[yy * W + x]) { x++; continue; }
while (yy > ln.y0 && ink[(yy - 1) * W + x]) yy--;
if (yy > yMid) { x++; continue; }
const x0 = x; x++; while (x < xR && ink[(base - 1) * W + x] && ink[yMid * W + x]) x++;
const xc = Math.round((x0 + x - 1) / 2);
const wMid = runAt(yMid, xc), wHi = runAt(yHi, xc), wFoot = runAt(yFoot, xc);
if (wMid > 0 && wMid < cap * 0.5 && wHi <= wMid * 1.3 && wHi >= wMid * 0.7) serifR.push(wFoot / wMid);
}
}
if (!capN) return null;
const stemW = med(stems), thinW = med(thins);
const advM = med(advAll);
const advSd = advAll.length > 3 ? Math.sqrt(advAll.reduce((s, v) => s + (v - advM) ** 2, 0) / advAll.length) : null;
const vsum = vprof.reduce((s, x) => s + x, 0) || 1;
const extra = {};
for (let i = 0; i < VBINS; i++) extra[`vprof${i}`] = vprof[i] / vsum;
for (const q of HQ) { extra[`hrun${Math.round(q * 100)}`] = pct(hruns, q); extra[`vrun${Math.round(q * 100)}`] = pct(vruns, q); }
extra.colq25 = pct(colHs, 0.25); extra.colq75 = pct(colHs, 0.75);
extra.wq25 = pct(widths, 0.25); extra.wq75 = pct(widths, 0.75);
return {
...extra,
capHeightPx: capSum / capN,
glyphs: glyphN,
advance: advM,
advTall: advTall.length ? med(advTall) : null,
advX: advX.length ? med(advX) : null,
advCV: advSd != null && advM ? advSd / advM : null,
gap: gaps.length ? med(gaps) : 0,
xRatio: per.xh.length ? med(per.xh) : null,
descRatio: per.desc.length ? med(per.desc) : null,
allCaps: allCapsLines * 2 > capN,
runDensity: med(per.runDensity),
stemW,
contrast: stemW && thinW ? stemW / thinW : null,
serif: serifR.length >= 3 ? med(serifR) : null,
roundFrac: round.length ? mean(round) : null,
densTall: densTall.length ? med(densTall) : null,
densX: densX.length ? med(densX) : null,
};
}
/**
* fingerprint(img) -> features, or null when no lettering is found. Upsamples (bilinear) when the
* cap height is under 24px so runs and edges are measured on finer pixels.
*/
export function fingerprint(img, { minCap = 24, minGlyphs = 3 } = {}) {
let bin = binarize(img);
let { lines } = findLines(bin);
if (!lines.length) return null;
let f = measure(bin, lines);
// fewer than minGlyphs separable glyphs is not lettering (a rule, a solid
// bar, one letterform): callers read null as "no separable lettering"
if (!f || f.glyphs < minGlyphs) return null;
let scale = 1;
if (f.capHeightPx < minCap && f.capHeightPx >= 4) {
scale = Math.min(4, Math.ceil(minCap / f.capHeightPx));
const up = resize(img, img.width * scale, img.height * scale);
bin = binarize(up);
lines = findLines(bin).lines;
const f2 = lines.length ? measure(bin, lines) : null;
if (f2) f = f2;
else scale = 1;
}
const r = { lines: lines.length, glyphs: f.glyphs, capHeightPx: +(f.capHeightPx / scale).toFixed(1), inkIsDark: bin.inkIsDark, upsampled: scale > 1, allCaps: f.allCaps, weight: f.densTall == null && f.densX == null ? null : +(f.densTall ?? f.densX).toFixed(4) };
for (const k of FEATURES) r[k] = f[k] == null ? null : +f[k].toFixed(4);
return r;
}
/**
* Distance normalization fitted on 299 held-out probes (150 at ~30px cap, 149
* at ~14px, text different from the index text) against a 3,092-entry Google
* Fonts index: std = within-family noise (1.4826 x median |probe - own index
* entry|, floored at 5% of the catalog IQR spread), w = group weight from
* coordinate descent on top-5 family recall. mean is unused by the distance.
*/
export const STATS = {
advance: { std: 0.07648, w: 0 },
advTall: { std: 0.25331, w: 0 },
advX: { std: 0.05144, w: 1.5 },
advCV: { std: 0.0857, w: 1 },
gap: { std: 0.02668, w: 1 },
xRatio: { std: 0.02315, w: 1 },
descRatio: { std: 0.17831, w: 1 },
stemW: { std: 0.01922, w: 1 },
contrast: { std: 0.05969, w: 3 },
serif: { std: 0.31477, w: 0.5 },
roundFrac: { std: 0.09341, w: 1 },
densTall: { std: 0.05708, w: 2 },
densX: { std: 0.07666, w: 0 },
runDensity: { std: 0.18199, w: 1 },
vprof0: { std: 0.01178, w: 1 },
vprof1: { std: 0.01331, w: 1 },
vprof2: { std: 0.02745, w: 1 },
vprof3: { std: 0.03046, w: 1 },
vprof4: { std: 0.01933, w: 1 },
vprof5: { std: 0.01737, w: 1 },
vprof6: { std: 0.0336, w: 1 },
vprof7: { std: 0.03195, w: 1 },
vprof8: { std: 0.03271, w: 1 },
vprof9: { std: 0.02951, w: 1 },
hrun25: { std: 0.01751, w: 1 },
hrun50: { std: 0.02124, w: 1 },
hrun75: { std: 0.04503, w: 1 },
hrun90: { std: 0.06844, w: 1 },
vrun25: { std: 0.01895, w: 1 },
vrun50: { std: 0.02405, w: 1 },
vrun75: { std: 0.06199, w: 1 },
vrun90: { std: 0.09486, w: 1 },
colq25: { std: 0.02906, w: 1 },
colq75: { std: 0.18204, w: 1 },
wq25: { std: 0.19862, w: 1 },
wq75: { std: 0.09687, w: 1 },
};
export const Z_CLIP = 3;
/** Weighted L1 over z-scored features; a feature missing on either side is skipped and the weight mass renormalized. */
export function distance(a, b, stats = STATS, { p = 1, zClip = Z_CLIP } = {}) {
let d = 0, wsum = 0;
for (const k of FEATURES) {
const s = stats[k]; if (!s || !s.w) continue;
const av = a[k], bv = b[k];
if (av == null || bv == null) continue;
const z = Math.min(zClip, Math.abs(av - bv) / s.std);
d += s.w * (p === 1 ? z : z * z); wsum += s.w;
}
if (!wsum) return Infinity;
const v = d / wsum;
return p === 1 ? v : Math.sqrt(v);
}
/** Debug: per-line metrics (base, R, xh, mode counts) for a raster. */
export function _debugLines(img) {
const bin = binarize(img);
const { lines } = findLines(bin);
return lines.map((ln) => { const m = lineMetrics(bin, ln); if (!m) return { ln, m: null }; const hs = m.hs.map((h) => +(h / m.R).toFixed(2)).sort((a, b) => a - b); const hist = {}; for (const h of hs) { const b = Math.round(h * 20) / 20; hist[b] = (hist[b] || 0) + 1; } return { y0: ln.y0, y1: ln.y1, base: m.base, R: +m.R.toFixed(1), xh: m.xh && +m.xh.toFixed(1), hist }; });
}