实验报告：化学式、上下标和滴定曲线

// ═══ Postext Cookbook · Nº 028 · Lab report: formulas, subscripts and a titration curve ═══
// https://postext.dev/en/cookbook/lab-report-formulas
// Code: MIT · Text: original (CC BY 4.0) · Figures: drawn in code (CC BY 4.0)
// Fonts: Inria Serif, Inria Sans, Sometype Mono (SIL OFL 1.1) · Needs postext ≥ 1.4.1
import {
  buildDocument, renderPageToCanvas, clearMeasurementCache, registerResourceImage,
  defaultResourceTypes, initMathEngine, renderMath, mergeCells,
} from 'https://esm.sh/postext?bundle';
import { renderToPdf, decompressWoff2 } from 'https://esm.sh/postext-pdf';

const LANG = 'es'; // @lang: the language of the sample document ('es' | 'en')
const RECIPE = 'lab-report-formulas';

// ─── 1 · Design ─────────────────────────────────────────────────────────────
const palette = { // white paper and phenolphthalein: pale at the end point, deep past it
  ink: '#1d2126', // text: a blue-black
  phenol: '#ad2c5f', // the accent: numbers, kickers, stripes, the flask's liquid (6.4:1)
  blush: '#f6d5e2', // the end-point pink: the head's band, the indicator's range on the curve
  slate: '#5b6b7a', // the burette's steel, the table head
  rule: '#cfd4da', // hairlines
  muted: '#626a73', // running heads, notes (5.5:1)
  paper: '#ffffff',
};
// The hex as well as the id: design slots read only the hex (gotcha: palette-skips-designs).
const col = (id) => ({ hex: palette[id], model: 'hex', paletteId: id });
// 'main-color' as well: the engine's defaults are linked to it, so any left over turn pink.
const colorPalette = Object.entries({ ...palette, 'main-color': palette.phenol })
  .map(([id, hex]) => ({ id, name: id, value: { hex, model: 'hex' } }));
const [SERIF, SANS, MONO] = ['Inria Serif', 'Inria Sans', 'Sometype Mono'];
const [BODY, LEAD] = [10.5, 15]; // pt: text size and leading
// mm: A4, printed on one side, so not mirrored; the wide left margin holds the numbers
const [TRIM_W, TRIM_H, TOP, BOTTOM, LEFT, RIGHT] = [210, 297, 24, 22, 55, 31];
const MEASURE = TRIM_W - LEFT - RIGHT; // mm: 124, about 74 characters of Inria Serif
const GAP = 4; // mm between a hanging number and the text edge
const HANG = LEFT - GAP - 18; // mm: the number column, 18 mm clear of the trim
const at = (to, edge, x = 0, y = 0) => ({ anchor: { to, edge }, offset: { x: mm(x), y: mm(y) } });

// #region answer: formulas and units in the text face; TeX for the reaction and equations
// In the Markdown, ~…~ lowers a run and ^…^ raises it, in the text's own face at 58 % of
// its size: CH~3~COOH, OH^−^ (the minus is U+2212), 25,0 cm^3^, 0,100 mol·dm^−3^, p*K*~a~.
// The marks also work where TeX cannot go (gap: math-in-captions): captions and the table
// cells this file writes, such as the column heads, each a quantity over its unit:
const units = { cm3: 'cm^3^', conc: 'mol·dm^−3^' }; // the dot keeps a unit one word
const heads = t({ es: ['Valoración', 'V~inicial~', 'V~final~', 'V~b~ gastado'],
  en: ['Titration', 'V~initial~', 'V~final~', 'V~b~ used'] })
  .map((head, i) => (i ? `${head} / ${units.cm3}` : head)); // 'V~b~ gastado / cm^3^'
// Between $$ and $$ is TeX, set by MathJax as vector paths: the reaction, with mhchem's
// \ce{…} (it lowers the 3 of CH3COOH by itself), and the equations. MathJax comes only with
// the ?bundle build, which every postext symbol here is imported from: the plain URL makes
// initMathEngine() throw, and a build that starts before it resolves prints grey boxes
// (gotcha: math-bundle).
await initMathEngine();
// No math.fontSizeScale: 1.4.1 draws formulas with an x-height of half the type size, and
// Inria Serif's is 0.495 em, so at the default scale their lowercase matches the text's.
// #endregion

// #region hanging: section numbers hung in the margin, titles on the text edge
const face = (size, extra) => ({ fontFamily: SANS, fontWeight: 700, fontSize: pt(size),
  lineHeight: 1.1, align: 'left', overflow: 'wrap', ...extra });
// The title starts on the text edge; the number hangs off its left side ('left-of') in a box
// of fixed width, set right. An auto width is clamped to the room the column leaves on that
// side, which is none: the box shrinks to 0 mm, the number wraps a character to a line and
// the heads grow by one to three lines (gotcha: negative-offsets).
const hang = (id, content, size, color, extra) => ({ kind: 'text', id, content,
  ...face(size, extra), color: col(color), align: 'right',
  placement: { ...at('#title', 'left-of', -GAP), size: { width: mm(HANG) } } });
const hung = (size, color) => ({ enabled: true, slot: { elements: [
  { kind: 'text', id: 'title', content: '{titleText}', ...face(size), color: col('ink'),
    placement: at('container', 'top-left') },
  hang('number', '{number}', size, color),
] } });
const levels = [ // a headings object drops the H1 break (gotcha: headings-drop-h1-break)
  { level: 1, breakBefore: { enabled: true, parity: 'any' } },
  // One grid line per head: the design sets the type, the level's size and leading the flow.
  { level: 2, numberingTemplate: '{2}', fontSize: pt(13), lineHeight: pt(LEAD),
    marginTop: pt(LEAD), marginBottom: pt(0), advancedDesign: hung(13, 'phenol') }, // 5
  { level: 3, numberingTemplate: '{2}.{3}', fontSize: pt(BODY), lineHeight: pt(LEAD),
    marginTop: pt(LEAD), marginBottom: pt(0), advancedDesign: hung(BODY, 'muted') }, // 5.1
];
// #endregion

// #region head: the report head: a pink band, the burette, the H1 and its attributes
const BAND = 104; // mm from the top of the page to the band's foot, where the flask stands
// The byline: values from the H1's attributes and the frontmatter, one per line, each
// with its label hung in the margin like a section number.
const byline = [['{attr.authors}', t({ es: 'Autores', en: 'Authors' })],
  ['{attr.group}', t({ es: 'Grupo', en: 'Class' })],
  ['{attr.teacher}', t({ es: 'Profesora', en: 'Teacher' })],
  ['{publishDate}', t({ es: 'Fecha', en: 'Date' })]].flatMap(([content, label], i) => [
  { kind: 'text', id: `value${i}`, content, fontFamily: SERIF, fontSize: pt(10), align: 'left',
    color: col('ink'), overflow: 'clip', placement: at('#title', 'below', 0, 7 + 4.6 * i) },
  { kind: 'text', id: `label${i}`, content: label, fontFamily: MONO, fontWeight: 500,
    fontSize: pt(7.5), letterSpacing: pt(1.2), textTransform: 'uppercase', color: col('ink'),
    align: 'right', overflow: 'clip',
    placement: { ...at(`#value${i}`, 'left-of', -GAP, 0.7), size: { width: mm(HANG) } } },
]);
// span: 'page' changes nothing in this one-column layout but where the design is painted:
// a heading design kept in the column is clipped at the column's top edge, 24 mm down, so
// the top of the band and the burette would print white.
const report = { id: 'report', numbered: false, span: 'page', advancedDesign: { enabled: true,
  // The band is a box, and boxes count towards the height a head reserves, so the text
  // would start below its foot at 104 mm (where the burette ends too). minHeight sets a floor
  // 8 mm lower, which the H1's bottom margin and the 15 pt grid round up to 15 mm.
  minHeight: mm(BAND + 8 - TOP), slot: { elements: [
    { kind: 'box', id: 'band', style: { backgroundColor: col('blush') },
      placement: { ...at('bleed', 'top-left'), size: { width: 'fill', height: mm(BAND) } } },
    { kind: 'image', id: 'burette', resourceId: 'burette', // its stand 12 mm into the margin
      placement: { ...at('page', 'top-right', 12 - RIGHT), size: { width: mm(34) } } },
    { kind: 'text', id: 'course', content: '{attr.course}', fontFamily: MONO, fontWeight: 600,
      fontSize: pt(7.5), letterSpacing: pt(1.2), textTransform: 'uppercase',
      color: col('phenol'), overflow: 'clip', placement: at('container', 'top-left', 0, 2) },
    { kind: 'text', id: 'title', content: '{titleText}', ...face(27, { lineHeight: 1.06 }),
      color: col('ink'), placement: { ...at('#course', 'below', 0, 5), size: { width: mm(96) } } },
    hang('practice', '{attr.practice}', 27, 'phenol', { lineHeight: 1.06 }), // as a section's
    ...byline,
  ] } } };
const back = { id: 'back', numbered: false, advancedDesign: hung(13, 'phenol') }; // no number
// #endregion

// Running heads on the body pages; the folio hangs in the number column, at the foot of p. 1.
const small = { fontFamily: MONO, fontWeight: 500, fontSize: pt(7.5), letterSpacing: pt(0.6),
  textTransform: 'uppercase', color: col('muted'), overflow: 'clip', pages: 'body' };
const folio = (edge, y, pages) => ({ kind: 'text', id: 'folio', ...small, pages, fontWeight: 700,
  content: '{pageNumber} / {totalPages}', color: col('phenol'), align: 'right',
  placement: { ...at('page', edge, LEFT - GAP - HANG, y), size: { width: mm(HANG) } } });
const header = { elements: [folio('top-left', 13, 'body'),
  { kind: 'text', id: 'course', content: '{attr.course}', ...small,
    placement: at('page', 'top-left', LEFT, 13) },
  { kind: 'text', id: 'authors', content: '{attr.short}', ...small, align: 'right',
    placement: at('page', 'top-right', -RIGHT, 13) },
  { kind: 'rule', id: 'rule', thickness: pt(0.5), color: col('rule'),
    pages: 'body', placement: { ...at('page', 'top-left', LEFT, 17),
      size: { width: mm(MEASURE) } } },
] };
const footer = { elements: [folio('bottom-left', -12, 'opener')] };

// #region labels: Tabla and Figura in the report's language, and how their captions look
// defaultResourceTypes(LANG) names them in Spanish (gotcha: resource-types-locale). Their
// '{h1}.{n}' prints a plain 1: the H1 is unnumbered, and an empty {h1} drops out with its dot.
const resourceTypes = defaultResourceTypes(LANG).map((type) => (type.id === 'table'
  ? { ...type, captionStyle: { position: 'above' } } : type)); // a table's caption goes on top
const tableStyle = { rules: 'horizontal', borderColor: col('rule'), borderWidth: pt(0.5),
  headerBackground: col('slate'), headerColor: col('paper'), headerFontFamily: SANS,
  headerFontSize: pt(8.5), bodyFontFamily: MONO, bodyFontSize: pt(8.8), bodyColor: col('ink'),
  cellPadding: mm(1.5) }; // figures in a monospace face, so the decimal separators line up
const captionStyle = { fontFamily: SANS, fontSize: pt(8.8), color: col('ink'), gap: mm(2.5),
  labelColor: col('phenol'), note: { fontFamily: SANS, fontSize: pt(7.4), color: col('muted') } };
// #endregion

const boxTitle = { fontFamily: MONO, fontWeight: 600, fontSize: pt(7.5), letterSpacing: pt(1.2),
  textTransform: 'uppercase', color: col('phenol'), gap: mm(1.2) };
const box = (id, title, extra) => ({ id, title, backgroundEnabled: false, titleStyle: boxTitle,
  body: { fontSize: pt(9.8), lineHeight: pt(14), firstLineIndent: pt(0) }, ...extra });
const calloutStyles = [ // one device each: a stripe for the abstract, a frame for safety
  box('abstract', t({ es: 'Resumen', en: 'Abstract' }), { marginTop: pt(0), marginBottom: pt(0),
    stripe: { enabled: true, width: pt(3), color: col('phenol') }, // on the left
    padding: { top: mm(0.5), right: mm(0), bottom: mm(0.5), left: mm(5) } }),
  box('safety', t({ es: 'Seguridad', en: 'Safety' }), {
    border: { enabled: true, color: col('phenol'), width: pt(0.75) },
    marginTop: mm(4.5), // air over the frame; the grid rounds the space under it to 8 mm
    padding: { top: mm(3), right: mm(4), bottom: mm(3), left: mm(4) } }),
];

// #region references: a reference list with hanging indents, and the colophon
const paragraphStyles = [
  { id: 'references', fontSize: pt(9), lineHeight: pt(12.5), textAlign: 'left',
    hangingIndent: mm(6), spaceBetween: pt(4) }, // ragged, so never hyphenated
  { id: 'colophon', fontFamily: SANS, fontSize: pt(7.4), lineHeight: pt(10), color: col('muted'),
    textAlign: 'left', firstLineIndent: pt(0), marginTop: pt(LEAD) },
];
// #endregion

const config = () => ({ // a factory: the engine caches resolved configs per object
  locale: t({ es: 'es', en: 'en-us' }), // exact codes (gotcha: hyphenation-locales)
  resourceTypes, colorPalette,
  page: { sizePreset: 'custom', width: mm(TRIM_W), height: mm(TRIM_H), dpi: 150,
    margins: { top: mm(TOP), bottom: mm(BOTTOM), left: mm(LEFT), right: mm(RIGHT) } },
  layout: { layoutType: 'single' },
  bodyText: { fontFamily: SERIF, fontSize: pt(BODY), lineHeight: pt(LEAD), color: col('ink'),
    boldColor: col('ink'), italicColor: col('ink'), referenceColor: col('ink'),
    referenceBold: false, // 'la tabla 1' reads as part of the sentence
    firstLineIndent: mm(5), indentAfterHeading: false, minWordSpacing: 0.8, maxWordSpacing: 1.5,
    maxRuntTracking: 0 }, // runt fixes tighten spaces only (gotcha: runt-tracking-unpainted)
  headings: { fontFamily: SANS, color: col('ink'), levels },
  // A display's marginBottom is a minimum that the 15 pt grid rounds up: at the default
  // 0.8 em a fraction got a line more air under it than over it.
  math: { marginBottom: em(0.3) },
  headingStyles: [report, back],
  unorderedLists: { bulletChar: '–', color: col('phenol'), marginTop: pt(0), marginBottom: pt(0) },
  orderedLists: { fontFamily: SANS, fontWeight: 700, color: col('phenol'), marginTop: pt(0),
    marginBottom: pt(0) },
  calloutStyles, paragraphStyles, tableStyle, captionStyle, header, footer,
});

// ─── 2 · Content ────────────────────────────────────────────────────────────
const markdown = String.raw`---
Markdown样例 · 97行 · content.es.md
title: "Valoración ácido-base: la acidez de un vinagre"
author: "Lucía Varela, Daniel Okafor y Marta Ibarra"
publishDate: "12 de marzo de 2026"
---

# Valoración ácido-base: la acidez de un vinagre {style="report" course="Química · 2.º de Bachillerato · Práctica 4" practice="4" authors="Lucía Varela · Daniel Okafor · Marta Ibarra" group="2.º B · mesa 3" teacher="Elena Soto" short="Varela, Okafor e Ibarra"}

:::callout{type="abstract"}
Hemos medido el ácido acético de un vinagre de manzana valorándolo con hidróxido de sodio 0,100 mol·dm^−3^ y fenolftaleína. Tres valoraciones concordantes gastaron de media 20,87 cm^3^ de NaOH, así que el vinagre contiene 0,835 mol·dm^−3^ de CH~3~COOH, es decir, 5,01 ± 0,04 g por cada 100 cm^3^, de acuerdo con el 5 % que declara la etiqueta. Otra valoración, seguida con un pH-metro, dio la curva de valoración y un p*K*~a~ de 4,75.
:::

## Objetivo

Determinar el contenido de ácido acético (CH~3~COOH) de un vinagre por valoración con una base fuerte y comprobar la acidez que declara la etiqueta; además, registrar la curva de pH y estimar con ella la *K*~a~ del ácido.

## Fundamento

El vinagre es una disolución acuosa diluida de ácido acético, un ácido débil, y los iones OH^−^ del hidróxido de sodio lo neutralizan mol a mol:

$$\ce{CH3COOH(aq) + NaOH(aq) -> CH3COONa(aq) + H2O(l)}$$

En el punto de equivalencia se ha añadido tanta base como ácido había, y como la cantidad de sustancia es *n* = *cV*, la concentración del ácido se deduce del volumen de base gastado. La sosa sólida absorbe agua y CO~2~ del aire, así que pesarla no fija la concentración: la disolución se valoró el día anterior con hidrogenoftalato de potasio (KHC~8~H~4~O~4~), un patrón primario que no absorbe agua.

En la equivalencia el matraz no contiene ácido ni base, sino acetato de sodio, y el ion acetato, CH~3~COO^−^, es una base débil: *K*~b~ = *K*~w~/*K*~a~ = 5,7 × 10^−10^. En ese punto su concentración *c* ronda los 0,045 mol·dm^−3^, así que

$$[\mathrm{OH^-}] = \sqrt{K_\mathrm{b}\,c} = 5{,}1\times10^{-6}\ \mathrm{mol{\cdot}dm^{-3}}, \qquad \mathrm{pH} = 14 - \mathrm{pOH} = 8{,}7$$

El pH en la equivalencia no es, por tanto, 7. Por eso el indicador es la fenolftaleína, incolora por debajo de pH 8,2 y rosa por encima, que vira dentro del salto brusco de pH que rodea la equivalencia. Antes del salto, la mezcla de ácido y acetato es una disolución reguladora que cumple la ecuación de Henderson-Hasselbalch:

$$\mathrm{pH} = \mathrm{p}K_\mathrm{a} + \log\frac{[\mathrm{CH_3COO^-}]}{[\mathrm{CH_3COOH}]}$$

Con la mitad de la base añadida, las dos concentraciones se igualan y el pH coincide con el p*K*~a~ del ácido, que la bibliografía da como 4,76 a 25 °C.

## Materiales y reactivos

- Bureta de 50 cm^3^ (±0,05 cm^3^), pipetas aforadas de 10 y 25 cm^3^ con pera de succión, matraz aforado de 100 cm^3^ y tres erlenmeyers de 250 cm^3^.
- pH-metro calibrado con disoluciones tampón de pH 4,00 y 7,00, agitador magnético y una baldosa blanca.
- Disolución de NaOH 0,100 mol·dm^−3^, valorada, y disolución de fenolftaleína al 0,5 % en etanol como indicador.
- Un embudo pequeño para llenar la bureta y un frasco lavador.
- Vinagre de manzana con una acidez declarada del 5 %, y agua destilada.

:::callout{type="safety"}
La disolución de NaOH, aunque diluida, irrita los ojos y la piel, así que llevamos gafas durante toda la práctica. Las pipetas se llenaron siempre con la pera, nunca con la boca, y la bureta, por debajo de la altura de los ojos y con un embudo que retirábamos antes de leer. La fenolftaleína está disuelta en etanol, que es inflamable: en la mesa no hubo ninguna llama. Si la sosa salpicaba la piel, la lavábamos enseguida con agua abundante.
:::

## Procedimiento

1. Pasamos 10 cm^3^ de vinagre con la pipeta al matraz aforado de 100 cm^3^, enrasamos con agua destilada y agitamos el matraz: el vinagre quedó diluido diez veces.
2. Enjuagamos la bureta con un poco de la disolución de NaOH, la llenamos, eliminamos la burbuja de la punta y anotamos la lectura inicial, con los ojos a la altura del menisco.
3. Pasamos 25,0 cm^3^ del vinagre diluido a un erlenmeyer, que pusimos sobre la baldosa blanca, y añadimos tres gotas de fenolftaleína.
4. Añadimos la sosa agitando sin parar. Cuando el rosa empezó a tardar en desaparecer, seguimos gota a gota hasta que un rosa pálido se mantuvo medio minuto, y anotamos la lectura final.
5. Tras una valoración orientativa, repetimos hasta tener tres volúmenes que no difirieran en más de 0,10 cm^3^.
6. Para la curva valoramos otra alícuota con el electrodo del pH-metro sumergido. Añadimos la sosa de 2 en 2 cm^3^, y de 0,5 en 0,5 cm^3^ entre 18 y 24 cm^3^, y anotamos el pH tras cada adición.

## Resultados

### Valoraciones con indicador

Las lecturas de la bureta están en la :ref{id="lecturas" style="full" case="lower"}. La valoración orientativa se pasó del punto final y queda fuera de la media; las otras tres no difieren en más de 0,05 cm^3^. El volumen medio de NaOH es *V*~b~ = 20,87 cm^3^, con una desviación típica de 0,03 cm^3^.

::resource{id="lecturas"}

:::space{lines=1}

Como cada alícuota era de *V*~a~ = 25,0 cm^3^ de vinagre diluido diez veces, con un factor *f* = 10, la concentración de ácido acético en el vinagre es

$$c_\mathrm{vinagre} = f\,\frac{c_\mathrm{b}\,V_\mathrm{b}}{V_\mathrm{a}} = 10\cdot\frac{0{,}100 \cdot 20{,}87}{25{,}0}\ \mathrm{mol{\cdot}dm^{-3}} = 0{,}835\ \mathrm{mol{\cdot}dm^{-3}}$$

Con la masa molar del ácido acético, 60,05 g·mol^−1^, son 50,1 g·dm^−3^, es decir, 5,01 g por cada 100 cm^3^ de vinagre. Al combinar las tolerancias del material con la de la concentración de la sosa, la incertidumbre relativa resulta del 0,7 %. El resultado es, pues, de 5,01 ± 0,04 g de ácido acético por cada 100 cm^3^ de vinagre.

### Curva de pH

La :ref{id="curva" style="full" case="lower"} muestra el pH frente al volumen de sosa añadido. El pH parte de 2,9 en el vinagre diluido y sube despacio hasta unos 18 cm^3^, porque la mezcla de ácido y acetato amortigua los cambios; entre 20 y 22 cm^3^ salta más de cinco unidades. El salto más brusco, entre 20,5 y 21 cm^3^, contiene el punto de equivalencia, que el cálculo sitúa en 20,87 cm^3^ y pH 8,7, dentro del intervalo de viraje de la fenolftaleína. Interpolando entre las lecturas de 10 y 12 cm^3^, el pH a la mitad de ese volumen es 4,75, que tomamos como p*K*~a~ del ácido acético.

## Discusión

La dispersión de las valoraciones concordantes, 0,03 cm^3^, es menor que la tolerancia de la bureta, así que el error aleatorio es pequeño; el más probable es sistemático. La sosa capta CO~2~ del aire: si lo hubiera hecho desde que se valoró, parte de ella sería ya carbonato, y el volumen gastado con fenolftaleína saldría mayor que el real. Valorar la sosa el mismo día, o protegerla con un tubo de cal sodada, lo evitaría.

La curva confirma la elección del indicador: el primer rosa aparece a pH 8,2, cuando falta menos de una gota para la equivalencia. Con naranja de metilo, que vira entre pH 3,1 y 4,4, el color habría cambiado antes de neutralizar un tercio del ácido. El p*K*~a~ obtenido, 4,75, solo difiere en 0,01 del que da la bibliografía.

## Conclusiones

El vinagre de manzana analizado contiene 5,01 ± 0,04 g de ácido acético en cada 100 cm^3^, es decir, 0,835 mol·dm^−3^, así que la acidez del 5 % que declara la etiqueta es correcta dentro de nuestra incertidumbre. Según la curva de pH, el p*K*~a~ del ácido acético es 4,75, lo que da una *K*~a~ de 1,8 × 10^−5^.

## Referencias {style="back"}

:::paragraphs{style="references"}
Flowers, P., Theopold, K., Langley, R. y Robinson, W. R. (2019). *Chemistry 2e*, cap. 14: «Acid-Base Equilibria». OpenStax.

Harris, D. C. (2020). *Quantitative Chemical Analysis* (10.ª ed.). W. H. Freeman.

Skoog, D. A., West, D. M., Holler, F. J. y Crouch, S. R. (2015). *Fundamentos de química analítica* (9.ª ed.). Cengage Learning.
:::

:::paragraphs{style="colophon"}
Compuesto con Postext en Inria Serif, Inria Sans y Sometype Mono (SIL OFL). Texto y figuras son originales, con licencia CC BY 4.0. Las lecturas de la bureta y del pH-metro son sintéticas, generadas para este ejemplo.
:::
`; // content.<lang>.md, inlined by the Cookbook

// #region data: the burette readings, which Table 1 and the curve of Figure 1 are computed from
const READINGS = [[0.00, 21.30], [0.40, 21.25], [1.10, 22.00], [0.25, 21.10]]; // cm³: synthetic
const titres = READINGS.map(([from, to]) => to - from); // the first is the rough titration
const fair = titres.slice(1);
const mean = fair.reduce((a, b) => a + b) / fair.length; // 20.87 cm³
const sd = Math.sqrt(fair.reduce((s, v) => s + (v - mean) ** 2, 0) / (fair.length - 1)); // 0.03
const num = (x) => x.toFixed(2).replace('.', t({ es: ',', en: '.' })); // the decimal comma
const cell = (content, align = 'right') => ({ content, align }); // figures set right
const label = (es, en) => cell(t({ es, en }), 'left');
// A summary row: its label set right, against its value, and two cells for the merge to cover.
const total = (es, en, x) => [cell(t({ es, en })), cell(''), cell(''), cell(num(x))];
const rows = [heads.map((head, i) => ({ ...cell(head, i ? 'right' : 'left'), isHeader: true })),
  ...READINGS.map(([from, to], i) => [i ? cell(String(i), 'left') : label('Orientativa', 'Rough'),
    cell(num(from)), cell(num(to)), cell(num(titres[i]))]),
  total('Media de 1–3', 'Mean of 1–3', mean), total('Desviación típica', 'Standard deviation', sd)];
// The last two labels span the first three columns. The cells a merge covers stay in the
// row, marked hiddenBy, which mergeCells writes (gotcha: merged-cells-hiddenby).
const table = [rows.length - 2, rows.length - 1].reduce((model, row) => mergeCells(model,
  { start: { row, col: 0 }, end: { row, col: 2 } }), { headerRowCount: 1, rows,
  columnWidths: [1.8, 1, 1, 1.15] }); // relative: the first column holds the longest labels
// #endregion

// #region art: the burette, the pH model of the curve and its drawing, labels set by MathJax
// The curve's model: the charge balance of acetic acid and NaOH, solved for [H⁺] by bisection;
// its 'readings' are the model at each volume plus a seeded ±0.02 of noise.
function pH(v) {
  const [CB, VA, KA] = [0.100, 25.0, 1.75e-5]; // NaOH mol/dm³, the aliquot in cm³, acid's Ka
  const [a, b] = [(CB * mean) / (VA + v), (CB * v) / (VA + v)]; // acid and Na⁺, mol/dm³
  let [lo, hi] = [0, 14];
  for (let i = 0; i < 60; i++) {
    const mid = (lo + hi) / 2;
    const h = 10 ** -mid;
    if (h + b - 1e-14 / h - (a * KA) / (KA + h) > 0) lo = mid; else hi = mid; // + : too acid
  }
  return (lo + hi) / 2;
}
let seed = 28; // Mulberry32: the same noise on every run
function rand() {
  seed = (seed + 0x6d2b79f5) | 0;
  let r = Math.imul(seed ^ (seed >>> 15), 1 | seed);
  r = (r + Math.imul(r ^ (r >>> 7), 61 | r)) ^ r;
  return ((r ^ (r >>> 14)) >>> 0) / 4294967296;
}
const VOLUMES = [0, 2, 4, 6, 8, 10, 12, 14, 16, 18, 18.5, 19, 19.5, 20, 20.5, 21, 21.5, 22,
  22.5, 23, 23.5, 24, 26, 28, 30]; // cm³: every 2, and every 0.5 from 18 to 24
const measured = VOLUMES.map((v) => [v, Math.round((pH(v) + (rand() - 0.5) * 0.04) * 100) / 100]);
const R = (x) => Math.round(x * 100) / 100;
const svg = (w, h, body) => `<svg xmlns="http://www.w3.org/2000/svg" width="${w * 10}" `
  + `height="${h * 10}" viewBox="0 0 ${w} ${h}">${body}</svg>`; // in mm, 10 px to the mm
const line = (x1, y1, x2, y2, color, width, extra = '') => `<line x1="${R(x1)}" y1="${R(y1)}" `
  + `x2="${R(x2)}" y2="${R(y2)}" stroke="${palette[color]}" stroke-width="${width}" ${extra}/>`;
const dot = (x, y, r, fill, extra = '') => `<circle cx="${R(x)}" cy="${R(y)}" r="${r}" `
  + `fill="${fill}" ${extra}/>`;
// An SVG drawn as an image cannot use web fonts (gotcha: svg-no-webfonts): the labels are
// MathJax paths, vector in the PDF like the formulas in the text. renderMath needs
// initMathEngine() resolved: called before, it returns no paths and the labels go missing.
function tex(markup, x, y, size, anchor = 0, color = 'muted') { // anchor 0 left, .5 mid, 1 right
  const r = renderMath(markup, false, 100); // paths in MathJax units, 1000 to the em
  const k = size / 1000;
  return `<g transform="translate(${R(x - anchor * r.viewBox.width * k)} ${R(y)}) scale(${k})" `
    + `fill="${palette[color]}">${r.paths.map((p) => `<path d="${p.d}"/>`).join('')}</g>`;
}
function burette() { // 34 mm × BAND: stand, clamp, burette, stopcock, a drop, the flask
  const [cx, rod, foot] = [14, 30, BAND - 3]; // tube axis, stand rod, top of the base plate
  const stroke = `stroke="${palette.slate}" stroke-width="0.45"`;
  let out = `<rect x="0" y="${foot}" width="34" height="3" fill="${palette.slate}"/>`
    + `<rect x="${rod - 0.6}" y="0" width="1.2" height="${foot}" fill="${palette.slate}"/>`
    + `<rect x="${cx + 3.4}" y="39.4" width="${rod - cx - 3.4}" height="1.2" `
    + `fill="${palette.slate}"/><rect x="${cx - 4.2}" y="37.5" width="8.4" height="5" rx="0.8" `
    + `fill="none" ${stroke}/>`
    + `<rect x="${cx - 3.2}" y="-1" width="6.4" height="65" fill="${palette.paper}" ${stroke}/>`
    + `<rect x="${cx - 2.75}" y="14" width="5.5" height="49.6" fill="${palette.rule}"/>`;
  for (let y = 4; y <= 62; y += 2) { // a tick every 2 mm, a long one every 10
    out += line(cx - 3.2, y, cx - (y % 10 ? 1.6 : 0.2), y, 'slate', 0.25);
  }
  out += `<path d="M${cx - 1.5} 64v4l1 8h1l1 -8v-4z" fill="${palette.slate}"/>`
    + `<rect x="${cx - 6}" y="65.3" width="12" height="2.4" rx="1.2" fill="${palette.slate}"/>`
    + `<path d="M${cx} 78q1.4 2.2 0 3.4q-1.4 -1.2 0 -3.4z" fill="${palette.slate}"/>`;
  // The flask: a neck, then a cone down to the plate, pale pink below the LEVEL line (the
  // end point), with the deep pink a drop makes where it lands, before swirling clears it.
  const [NECK, SHOULDER, LEVEL, R_NECK, R_BASE] = [84, 88.5, 92.5, 3.6, 13.2];
  const base = `L${cx - R_BASE} ${foot - 1.4}q-.7 1.4 .9 1.4h${2 * R_BASE - 1.8}q1.6 0 .9 -1.4`;
  const r = R_NECK + ((LEVEL - SHOULDER) / (foot - 1.4 - SHOULDER)) * (R_BASE - R_NECK);
  const glass = `M${cx - R_NECK} ${NECK}V${SHOULDER}${base}L${cx + R_NECK} ${SHOULDER}V${NECK}`;
  const pink = (d, alpha) => `<path d="${d}" fill="${palette.phenol}" fill-opacity="${alpha}"/>`;
  const bell = (w, h) => `M${cx - w / 2} ${LEVEL}h${w}q-.1 ${R(h * 0.8)} ${-w / 2} ${h}`
    + `q${0.1 - w / 2} ${R(-h * 0.2)} ${-w / 2} ${-h}z`; // a cloud hanging from the surface
  return svg(34, BAND, out + `<path d="${glass}z" fill="${palette.paper}"/>`
    + pink(`M${R(cx - r)} ${LEVEL}${base}L${R(cx + r)} ${LEVEL}z`, 0.35) // a shade over the band
    + pink(bell(10, 6), 0.5) + pink(bell(5, 4), 1) + `<path d="${glass}" fill="none" ${stroke}/>`);
}
const BURETTE = { id: 'burette', typeId: 'figure', kind: 'svg', createdAt: 0, updatedAt: 0,
  svg: { fileId: 'burette.svg', width: 34 * 10, height: BAND * 10 },
  altText: t({ es: 'Una bureta gotea sobre un erlenmeyer de líquido rosa pálido.',
    en: 'A burette drips into a conical flask of pale pink liquid.' }) };
function curve() { // MEASURE × 92 mm: pH 2–13 against 0–30 cm³
  const [x0, y0, w, h] = [12, 4, MEASURE - 16, 74];
  const X = (v) => x0 + (v / 30) * w;
  const Y = (p) => y0 + h - ((p - 2) / 11) * h;
  const half = mean / 2;
  const [p10, p12] = [10, 12].map((v) => measured.find(([x]) => x === v)[1]);
  const pka = p10 + ((p12 - p10) * (half - 10)) / 2; // read at half the equivalence volume
  let out = `<rect x="${x0}" y="${R(Y(10))}" width="${w}" height="${R(Y(8.2) - Y(10))}" `
    + `fill="${palette.blush}"/>`;
  for (let p = 2; p <= 13; p += 1) {
    out += line(x0, Y(p), x0 + w, Y(p), 'rule', p % 2 ? 0.12 : 0.25);
    if (p % 2 === 0) out += tex(String(p), x0 - 2, Y(p) + 1.2, 3.4, 1);
  }
  for (let v = 0; v <= 30; v += 5) {
    out += line(X(v), y0 + h, X(v), y0 + h + 1.2, 'muted', 0.25)
      + tex(String(v), X(v), y0 + h + 5.2, 3.4, 0.5);
  }
  out += line(x0, y0 + h, x0 + w, y0 + h, 'muted', 0.35);
  const model = Array.from({ length: 301 }, (_, i) => [X(i / 10), Y(pH(i / 10))]);
  out += `<path d="${model.map(([x, y], i) => `${i ? 'L' : 'M'}${R(x)} ${R(y)}`).join('')}" `
    + `fill="none" stroke="${palette.ink}" stroke-width="0.45"/>`;
  out += line(X(half), Y(2), X(half), Y(pka), 'slate', 0.3, 'stroke-dasharray="1 0.8"')
    + line(x0, Y(pka), X(half), Y(pka), 'slate', 0.3, 'stroke-dasharray="1 0.8"')
    + tex('\\mathrm{p}K_\\mathrm{a}', x0 + 1.5, Y(pka) - 1.6, 3.6, 0, 'slate');
  out += measured.map(([v, p]) => dot(X(v), Y(p), 0.75, palette.phenol)).join('');
  out += dot(X(mean), Y(pH(mean)), 2.2, 'none', `stroke="${palette.phenol}" stroke-width="0.4"`)
    + tex(t({ es: '\\text{equivalencia}', en: '\\text{equivalence}' }), X(mean) + 3.2,
      Y(pH(mean)) + 1, 3.4, 0, 'phenol');
  return svg(MEASURE, 92, out + tex('\\mathrm{pH}', x0 - 2, y0 - 1, 3.8, 1, 'ink')
    + tex('V_\\mathrm{NaOH}\\,/\\,\\mathrm{cm^3}', x0 + w, y0 + h + 11, 3.8, 1, 'ink'));
}
// #endregion

const resources = [BURETTE, // the head's picture: uncited, so never placed in the text
  { id: 'lecturas', typeId: 'table', kind: 'table', createdAt: 0, updatedAt: 0,
    table: { model: table },
    placement: { position: 'here' }, // set where ::resource{id="lecturas"} stands
    caption: t({ es: `Lecturas de la bureta: 25,0 ${units.cm3} de vinagre diluido frente a NaOH `
      + `0,100 ${units.conc}.`, en: `Burette readings, titrating 25.0 ${units.cm3} of diluted `
      + `vinegar with 0.100 ${units.conc} NaOH.` }), // one line: at two, the English one broke
    // between 'dm' and its '−3' (gotcha: ragged-run-punctuation)
    note: t({ es: `Lecturas sintéticas, con la apreciación de la bureta: 0,05 ${units.cm3}.`,
      en: `Synthetic readings, taken to the nearest 0.05 ${units.cm3}, as a burette is read.` }) },
  { id: 'curva', typeId: 'figure', kind: 'svg', createdAt: 0, updatedAt: 0,
    svg: { fileId: 'curve.svg', width: MEASURE * 10, height: 92 * 10 }, // 10 px to the mm
    caption: t({ es: `Curva de valoración de 25,0 ${units.cm3} de vinagre diluido con NaOH `
      + `0,100 ${units.conc}: lecturas del pH-metro (puntos) y el cálculo con *K*~a~ = `
      + `1,75 × 10^−5^ (línea). La banda rosa es el viraje de la fenolftaleína, de pH 8,2 a 10,0.`,
    en: `Titration curve of 25.0 ${units.cm3} of diluted vinegar with 0.100 ${units.conc} NaOH: `
      + `pH meter readings (dots) and the model with *K*~a~ = 1.75 × 10^−5^ (line). The pink band `
      + 'is the range over which phenolphthalein turns, pH 8.2 to 10.0.' }),
    note: t({ es: 'Lecturas sintéticas.', en: 'Synthetic readings.' }),
    altText: t({ es: 'El pH sube despacio hasta unos 18 cm³ y salta de 6 a 11 cerca de 21 cm³.',
      en: 'The pH rises slowly to about 18 cm³, then leaps from 6 to 11 near 21 cm³.' }) },
];

// ─── 3 · Fonts ──────────────────────────────────────────────────────────────
const FONTS = { // every face the pages paint, loaded before the first build (gotcha: fonts-first)
  'Inria Serif': ['400', '400i', '700'],
  'Inria Sans': ['400', '400i', '700'], // 400i: the K of K~a~ in Figure 1's caption
  'Sometype Mono': ['400', '500', '600', '700'],
};

// ─── 4 · Build & show ───────────────────────────────────────────────────────
await loadFonts(FONTS, markdown);
await loadSvg('burette.svg', burette()); // for the canvas, and kept as bytes for the PDF
await loadSvg('curve.svg', curve());
const doc = await buildWithFonts(() => buildDocument({ markdown, resources }, config()), markdown);
showPages(doc, { title: t({ es: 'Informe de laboratorio', en: 'Lab report' }) });
offerPdf(() => renderToPdf(doc, { fontProvider: fontsourceProvider, resourceBytes: imageBytes }),
  `${RECIPE}.pdf`); // text in the Fontsource faces; formulas and figures as vector paths

工具包 · core, fonts, viewer, pdf, images：每道食谱都相同 · 310行
// ─── Kit ── helpers shared by every Cookbook recipe · postext.dev/cookbook ─────

// ─── Kit · core v1 ── the same in every recipe · postext.dev/cookbook ─────────
function mm(value) { return { value, unit: 'mm' }; }
function pt(value) { return { value, unit: 'pt' }; }
function em(value) { return { value, unit: 'em' }; }
/** The sample language's string: t({ en: 'Figure', es: 'Figura' }). */
function t(strings) { return strings[LANG] ?? Object.values(strings)[0]; }
/** A file in this recipe's assets folder, served from the Postext repo by jsDelivr. */
function asset(file) { return `https://cdn.jsdelivr.net/gh/drnachio/postext@main/cookbook/${RECIPE}/assets/${file}`; }

// ─── Kit · fonts v1 ── the same in every recipe · postext.dev/cookbook ────────
// Postext measures text with the faces the browser has loaded, and caches the
// widths, so every face must be ready before the first build. Faces come from
// Fontsource: the same static files the PDF embeds, so screen and PDF agree.

/** faces = { 'Family Name': ['400', '400i', '700'] }. `text` is the sample:
 *  letters beyond Latin-1 (č, ł, ő…) also load the latin-ext files. With
 *  `optional`, a face Fontsource does not ship is skipped instead of failing.
 *  Resolves to the number of faces added. */
async function loadFonts(faces, text = '', { optional = false } = {}) {
  kitStatus('Loading fonts…');
  const ranges = {
    latin: 'U+0000-00FF,U+0131,U+0152-0153,U+02BB-02BC,U+02C6,U+02DA,U+02DC,U+0304,U+0308,U+0329,'
      + 'U+2000-206F,U+20AC,U+2122,U+2191,U+2193,U+2212,U+2215,U+FEFF,U+FFFD',
    'latin-ext': 'U+0100-02BA,U+02BD-02C5,U+02C7-02CC,U+02CE-02D7,U+02DD-02FF,U+0304,U+0308,U+0329,'
      + 'U+1D00-1DBF,U+1E00-1E9F,U+1EF2-1EFF,U+2020,U+20A0-20AB,U+20AD-20C0,U+2113,U+2C60-2C7F,U+A720-A7FF',
  };
  const subsets = /[Ā-˿Ḁ-ỿ]/.test(text) ? ['latin', 'latin-ext'] : ['latin'];
  const jobs = [];
  let added = 0;
  for (const [family, specs] of Object.entries(faces)) {
    const id = fontsourceId(family);
    const meta = optional ? await fontsourceMeta(family) : null;
    for (const spec of new Set(specs)) {
      const weight = parseInt(spec, 10);
      const style = spec.endsWith('i') ? 'italic' : 'normal';
      if (hasFace(family, weight, style)) continue;
      if (optional && !(meta?.weights.includes(weight) && meta.styles.includes(style))) continue;
      for (const subset of subsets) {
        const url = `https://cdn.jsdelivr.net/npm/@fontsource/${id}@5/files/${id}-${subset}-${weight}-${style}.woff2`;
        const face = new FontFace(family, `url(${url}) format('woff2')`,
          { weight: String(weight), style, unicodeRange: ranges[subset] });
        jobs.push(face.load().then((ready) => { document.fonts.add(ready); added++; }, () => {
          if (subset === 'latin' && !optional) throw new Error(`Fontsource has no ${family} ${weight} ${style}`);
        }));
      }
    }
  }
  await Promise.all(jobs).catch((error) => { kitFail(error); throw error; });
  return added;
}

/** Runs `build` (a buildDocument or buildBundle call) and checks the faces
 *  the pages use. A regular face missing from FONTS is loaded with a warning;
 *  bold and italic variants are loaded when the family ships them. Then the
 *  measurement caches are cleared and the build runs again. */
async function buildWithFonts(build, text = '') {
  const tried = new Set();
  for (let round = 0; round < 3; round++) {
    kitStatus('Laying out…');
    await new Promise(requestAnimationFrame);          // let the status paint first
    const result = await Promise.resolve().then(build).catch((error) => { kitFail(error); throw error; });
    const wanted = { base: {}, variants: {} };
    for (const { font, base } of [result].flat().flatMap(fontStringsOf)) {
      const { family, weight, style } = parseFont(font);
      const key = `${family}|${weight}|${style}`;
      if (tried.has(key) || hasFace(family, weight, style)) continue;
      tried.add(key);
      (wanted[base ? 'base' : 'variants'][family] ??= []).push(`${weight}${style === 'italic' ? 'i' : ''}`);
    }
    if (Object.keys(wanted.base).length) {
      console.warn(`[cookbook] FONTS does not list ${JSON.stringify(wanted.base)}: loading them.`);
    }
    const added = await loadFonts(wanted.base, text) + await loadFonts(wanted.variants, text, { optional: true });
    if (added === 0) return result;
    clearMeasurementCache();
  }
  throw new Error('The fonts did not settle after three builds.');
}

/** Every font string of the layout. `base` marks a block's own face; its
 *  bold, italic and bold-italic variants are listed whether or not used. */
function fontStringsOf(doc) {
  const found = new Map();
  const walk = (node) => {
    if (!node || typeof node !== 'object') return;
    if (Array.isArray(node)) { node.forEach(walk); return; }
    for (const [key, value] of Object.entries(node)) {
      if (typeof value === 'string' && /fontString$/i.test(key)) {
        found.set(value, found.get(value) || key === 'fontString');
      } else if (value && typeof value === 'object') walk(value);
    }
  };
  walk(doc.pages);
  walk(doc.blocks);
  return [...found].map(([font, base]) => ({ font, base }));
}

/** '700 37.5px Open Sans' / 'italic 400 13px "Source Serif 4"' → { family, weight, style }.
 *  A string with no weight ('95.8px Young Serif', from a design text) is 400. */
function parseFont(font) {
  const m = /^(?:(italic|oblique)\s+)?(?:small-caps\s+)?(?:(\d+|bold|normal)\s+)?[\d.]+px\s+(.+)$/.exec(font.trim());
  if (!m) throw new Error(`Unexpected font string: ${font}`);
  const weight = m[2] === 'bold' ? 700 : !m[2] || m[2] === 'normal' ? 400 : Number(m[2]);
  return { family: m[3].replace(/^["']|["']$/g, ''), weight, style: m[1] ? 'italic' : 'normal' };
}

/** True when a loaded FontFace covers exactly this family, weight and style
 *  (document.fonts.check() is also true for families nobody declared). */
function hasFace(family, weight, style) {
  for (const face of document.fonts) {
    if (face.status !== 'loaded' || face.style !== style) continue;
    if (face.family.replace(/^["']|["']$/g, '') !== family) continue;
    const [low, high = low] = face.weight.split(' ').map(Number);
    if (weight >= low && weight <= high) return true;
  }
  return false;
}

/** Fontsource's id for a family: 'Source Serif 4' → 'source-serif-4'. */
function fontsourceId(family) { return family.toLowerCase().replace(/\s+/g, '-'); }

/** The weights and styles a family ships ({ weights: [400, 700], styles: ['normal', 'italic'] }), or null. */
function fontsourceMeta(family) {
  fontsourceMeta.cache ??= new Map();
  const id = fontsourceId(family);
  if (!fontsourceMeta.cache.has(id)) {
    fontsourceMeta.cache.set(id, fetch(`https://api.fontsource.org/v1/fonts/${id}`)
      .then((res) => (res.ok ? res.json() : null), () => null));
  }
  return fontsourceMeta.cache.get(id);
}

// ─── Kit · viewer v1 ── the same in every recipe · postext.dev/cookbook ───────
/** Shows the pages as facing spreads on a dark desk: the first page is a
 *  recto on its own, then verso | recto pairs, as in a bound book. Pages
 *  are painted when they scroll near the screen. */
function showPages(docs, { title, width = 460 } = {}) {
  const root = viewer(title);
  const pages = [docs].flat().flatMap((doc) =>
    doc.pages.map((page) => ({ doc, page, n: (doc.pageIndexOffset ?? 0) + page.index })));
  const spreads = [];
  let verso = null;
  for (const p of pages) {
    if (p.n % 2 === 1) { if (verso) spreads.push([verso, null]); verso = p; }
    else { spreads.push([verso, p]); verso = null; }
  }
  if (verso) spreads.push([verso, null]);
  const density = Math.min(window.devicePixelRatio || 1, 2);
  showPages.painter?.disconnect();
  const painter = new IntersectionObserver((entries) => {
    for (const { isIntersecting, target } of entries) {
      if (!isIntersecting) continue;
      painter.unobserve(target);
      const { doc, page } = target.postext;
      renderPageToCanvas(page, doc, target, { scale: (width * density) / page.width });
    }
  }, { rootMargin: '800px' });
  showPages.painter = painter;
  root.replaceChildren(...spreads.map((pair) => {
    const spread = document.createElement('div');
    spread.className = 'pt-spread';
    for (const p of pair) {
      const figure = document.createElement('figure');
      if (p) {
        const label = p.page.pageLabel || String(p.n + 1);
        const canvas = document.createElement('canvas');
        canvas.postext = p;
        canvas.style.aspectRatio = `${p.page.width} / ${p.page.height}`;
        canvas.setAttribute('role', 'img');
        canvas.setAttribute('aria-label', `Page ${label}`);
        const folio = document.createElement('figcaption');
        folio.textContent = label;
        figure.append(canvas, folio);
        painter.observe(canvas);
      } else figure.className = 'pt-blank';
      spread.append(figure);
    }
    return spread;
  }));
  kitStatus(`${pages.length} ${pages.length === 1 ? 'page' : 'pages'}`);
  document.documentElement.dataset.postext = 'ready';
  return pages.length;
}

/** The desk, the bar and the error reporting, created once. */
function viewer(title) {
  if (!document.getElementById('pt-kit')) {
    document.head.insertAdjacentHTML('beforeend', `<style id="pt-kit">
      :root { color-scheme: dark; }
      body { margin: 0; background: #0e1014; color: #b9bcc4; font: 13px/1.45 system-ui, sans-serif; }
      #pt-bar { position: sticky; top: 0; z-index: 1; display: flex; flex-wrap: wrap; align-items: center;
        gap: 6px 16px; padding: 10px 16px; background: rgb(14 16 20 / .92); backdrop-filter: blur(6px);
        border-bottom: 1px solid #23262d; }
      #pt-bar strong { color: #f4f1ea; font-weight: 600; }
      #pt-actions { display: flex; gap: 12px; margin-left: auto; }
      #pt-actions a, #pt-actions button { color: #d8a21a; font: inherit; background: none; border: 0; padding: 0; cursor: pointer; }
      #pages { display: grid; justify-items: center; gap: 48px; padding: 32px 16px 72px; }
      .pt-spread { display: flex; }
      .pt-spread figure { margin: 0; width: min(460px, 44vw); }
      .pt-spread canvas { display: block; width: 100%; background: #fff;
        box-shadow: 0 1px 2px rgb(0 0 0 / .5), 0 22px 44px -16px rgb(0 0 0 / .8); }
      .pt-spread figure:first-child canvas { box-shadow: inset -14px 0 14px -14px rgb(0 0 0 / .18), 0 1px 2px rgb(0 0 0 / .5), 0 22px 44px -16px rgb(0 0 0 / .8); }
      .pt-spread figcaption { margin-top: 10px; text-align: center; font: 600 10px/1 system-ui, sans-serif;
        letter-spacing: .18em; text-transform: uppercase; color: #6c7079; }
      .pt-blank { visibility: hidden; }
      @media (max-width: 760px) {
        .pt-spread { flex-direction: column; gap: 32px; }
        .pt-spread figure { width: min(460px, 92vw); }
        .pt-blank { display: none; }
      }
    </style>`);
    document.body.insertAdjacentHTML('afterbegin',
      '<header id="pt-bar"><strong id="pt-title"></strong><span id="pt-status" role="status"></span><span id="pt-actions"></span></header>');
    document.getElementById('pt-title').textContent = document.title || 'Postext';
    addEventListener('error', (event) => kitFail(event.error ?? event.message));
    addEventListener('unhandledrejection', (event) => kitFail(event.reason));
  }
  if (title) document.getElementById('pt-title').textContent = title;
  return document.getElementById('pages')
    ?? document.body.appendChild(Object.assign(document.createElement('main'), { id: 'pages' }));
}

function kitStatus(text) {
  viewer();
  document.getElementById('pt-status').textContent = text;
}

function kitFail(error) {
  document.documentElement.dataset.postext = 'error';
  kitStatus(`Error: ${error?.message ?? error}`);
}

// ─── Kit · pdf v1 ── the same in every recipe that exports a PDF ──────────────
/** postext-pdf embeds TrueType bytes. Fetch the Fontsource file the screen
 *  used, snapping to a weight the family ships and falling back to upright
 *  when it has no italic: the PDF asks for every face a block could use. */
async function fontsourceProvider(family, weight, style) {
  const id = fontsourceId(family);
  const meta = await fontsourceMeta(family);
  const weights = meta?.weights?.length ? meta.weights : [400, 700];
  const w = weights.reduce((a, b) => (Math.abs(b - weight) < Math.abs(a - weight) ? b : a));
  const s = style === 'italic' && meta && !meta.styles.includes('italic') ? 'normal' : style;
  const res = await fetch(`https://cdn.jsdelivr.net/npm/@fontsource/${id}@5/files/${id}-latin-${w}-${s}.woff2`);
  if (!res.ok) throw new Error(`Fontsource has no ${family} ${w} ${s} (${res.status})`);
  return decompressWoff2(new Uint8Array(await res.arrayBuffer()));
}

/** A "Build the PDF" button in the bar. Once built: "Open the PDF" (a new
 *  tab, since CodePen's preview frame cannot show PDFs) and a download link. */
function offerPdf(makePdf, filename) {
  viewer();
  const button = Object.assign(document.createElement('button'), { type: 'button', textContent: 'Build the PDF' });
  button.dataset.postextPdf = filename;
  button.addEventListener('click', async () => {
    button.disabled = true;
    button.textContent = 'Building the PDF…';
    try {
      const bytes = await makePdf();
      const url = URL.createObjectURL(new Blob([bytes], { type: 'application/pdf' }));
      const size = `${Math.max(1, Math.round(bytes.length / 1024))} KB`;
      button.replaceWith(
        Object.assign(document.createElement('a'), { href: url, target: '_blank', rel: 'noopener', textContent: 'Open the PDF ↗' }),
        Object.assign(document.createElement('a'), { href: url, download: filename, textContent: `Download ${filename} · ${size}` }));
    } catch (error) {
      button.disabled = false;
      button.textContent = 'Build the PDF';
      kitFail(error);
    }
  });
  document.getElementById('pt-actions').append(button);
}

// ─── Kit · images v1 ── recipes with pictures · postext.dev/cookbook ──────────
/** Registers a photo or PNG for the canvas and keeps its bytes for the PDF.
 *  fetch → ImageBitmap never taints the canvas (a plain cross-origin <img> would). */
async function loadImage(fileId, url) {
  const res = await fetch(url);
  if (!res.ok) throw new Error(`Image not found (${res.status}): ${url}`);
  const bytes = new Uint8Array(await res.arrayBuffer());
  registerResourceImage(fileId, await createImageBitmap(new Blob([bytes])));
  (loadImage.bytes ??= new Map()).set(fileId, bytes);
}

/** Registers SVG markup (drawn in code, or fetched) as a vector image. */
async function loadSvg(fileId, svg) {
  const img = new Image();
  img.src = `data:image/svg+xml;charset=utf-8,${encodeURIComponent(svg)}`;
  await img.decode();
  registerResourceImage(fileId, img);
  (loadImage.bytes ??= new Map()).set(fileId, new TextEncoder().encode(svg));
}

/** renderToPdf({ resourceBytes: imageBytes }) */
function imageBytes(fileId) { return loadImage.bytes?.get(fileId); }

/** renderToHtml({ resourceImageUrl: imageUrl }) */
function imageUrl(fileId) {
  const bytes = imageBytes(fileId);
  if (!bytes) return undefined;
  imageUrl.urls ??= new Map();
  if (!imageUrl.urls.has(fileId)) {
    const type = /\.svg$/i.test(fileId) ? 'image/svg+xml' : /\.png$/i.test(fileId) ? 'image/png' : 'image/jpeg';
    imageUrl.urls.set(fileId, URL.createObjectURL(new Blob([bytes], { type })));
  }
  return imageUrl.urls.get(fileId);
}

// ─── /Kit ───────────────────────────────────────────────────────────────────────