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LaTeX to HTML5 translator using a PEG.js parser

This is a LaTeX to HTML5 translator written in JavaScript using PEG.js. latex.js for LaTeX is similar in spirit to marked for Markdown.

LaTeX.js tries to be absolutely and uncompromisingly exact and compatible with LaTeX. The generated HTML is exactly what is meant to be output, down to the last space. The CSS makes it look like LaTeX output—except where impossible in principle, see limitations.

You can play with it here: http://latex.js.org/playground.html

Installation

For CLI usage install it globally:

npm install -g latex.js

For library usage add it to your project:

npm install --save-prod latex.js

Usage

LaTeX.js has a command line interface (CLI), it can be embedded in a website using the provided webcomponent, or it can be used to directly to obtain and possibly modify the generated HTML/DOM by accessing the low-level classes. Each of those use-cases is explained in the following subsections.

LaTeX.js can parse full LaTeX documents as well as documents without a preamble and only the text that comes between \begin{document} and \end{document} in a full LaTeX document. In that latter case, the default documentclass is used, which is article unless specified otherwise.

CLI

The CLI has the following options:

Usage: latex.js [options] [files...]

JavaScript LaTeX to HTML5 translator

Options:

  -V, --version          output the version number
  -o, --output <file>    specify output file, otherwise STDOUT will be used
  -a, --assets [dir]     copy CSS and fonts to the directory of the output file, unless dir is given (default: no assets are copied)
  -u, --url <base URL>   set the base URL to use for the assets (default: use relative URLs)
  -b, --body             don't include HTML boilerplate and CSS, only output the contents of body
  -e, --entities         encode HTML entities in the output instead of using UTF-8 characters
  -p, --pretty           beautify the html (this may add/remove spaces unintentionally)
  -c, --class <class>    set a default documentclass for documents without a preamble (default: article)
  -m, --macros <file>    load a JavaScript file with additional custom macros
  -s, --style <url>      specify an additional style sheet to use (can be repeated)
  -n, --no-hyphenation   don't insert soft hyphens (disables automatic hyphenation in the browser)
  -l, --language <lang>  set hyphenation language (default: en)
  -h, --help             output usage information

If no input files are given, STDIN is read.

WebComponent

LaTeX.js can be used as a web component:

<!DOCTYPE html>
<html lang="en">
<head>
  <meta charset="UTF-8">
  <meta http-equiv="content-type" content="text/html; charset=UTF-8">
  <meta http-equiv="content-language" content="en">

  <meta name="viewport" content="width=device-width, initial-scale=1.0">

  <script src="https://cdn.jsdelivr.net/npm/[email protected]/dist/latex.min.js"></script>
  <script src="https://cdn.jsdelivr.net/npm/[email protected]/dist/latex.component.js"></script>

  <style>
    latex-js {
      display: inline-block;
      width: 40%;
      border: 1px solid red;
      margin-right: 2em;
    }
  </style>

  <title>LaTeX.js Web Component Test</title>
</head>

<body>
  <h1>Compiling LaTeX</h1>

  <latex-js baseURL="https://cdn.jsdelivr.net/npm/[email protected]/dist/">
    \documentclass{article}

    \begin{document}
    Hello World.
    \end{document}
  </latex-js>


  <latex-js hyphenate="false">
    Another.
  </latex-js>

</body>

</html>

This, however, requires a browser with support for the shadow DOM.

Then you need to decide how to embed the <latex-js> element and style it accordingly with CSS; most importantly, set the display: property. It is inline by default.

The <latex-js> element supports a few attributes to configure LaTeX.js:

  • baseURL: if you want the LaTeX.js component to use a different set of stylesheets than the ones delivered along with the latex.component.js, then you need to set the base using this attribute.

  • hyphenate: enable or disable hyphenation (default: enabled)

Library

This is the low-level use-case which gives the greatest control over the translation process.

LaTeX.js is divided into a parser and a generator, so that in theory you could switch the generator to create e.g. plain text instead of HTML. Currently, only a HTML generator exists.

Import the parser and generator, then parse and translate to HTML:

import { parse, HtmlGenerator } from 'latex.js'

let latex = "Hi, this is a line of text."


let generator = new HtmlGenerator({ hyphenate: false })

let doc = parse(latex, { generator: generator }).htmlDocument()

console.log(doc.outerHTML)

The HtmlGenerator takes several options, see the API section below.

In the Browser

If you want to use the parser and the generator manually, you can either use your own build or use a link directly to the jsDelivr CDN:

<!DOCTYPE html>
<html lang="en">
<head>
  <meta name="viewport" content="width=device-width, initial-scale=1.0">

  <meta charset="UTF-8">
  <meta http-equiv="content-type" content="text/html; charset=UTF-8">
  <meta http-equiv="content-language" content="en">

  <meta http-equiv="X-UA-Compatible" content="ie=edge">

  <!-- <script src="node_modules/latex.js/dist/latex.min.js"></script> -->
  <script src="https://cdn.jsdelivr.net/npm/[email protected]/dist/latex.min.js"></script>

  <title>LaTeX.js API Test</title>
</head>

<body>
  <h1>Compiling LaTeX</h1>

  <script>
    var text = "Hi, this is a line of text."

    var generator = new latexjs.HtmlGenerator({ hyphenate: false })

    generator = latexjs.parse(text, { generator: generator })

    document.body.appendChild(generator.stylesAndScripts("https://cdn.jsdelivr.net/npm/[email protected]/dist/"))
    document.body.appendChild(generator.domFragment())
  </script>
</body>

</html>

Note that in this case the styles and scripts are not encapsulated, so they clash with the text and style of the containing page.

Tests

To build it and run the tests, clone this repository and execute:

npm install
npm run build   # or devbuild
npm test

To verify the screenshots (the CSS tests), ImageMagick needs to be installed. Screenshots are taken with Chromium using puppeteer.

Playground

To build the playground, execute:

npm run docs

Directory Structure

General structure:

  • src: all the LaTeX.js sources
  • bin: the compiled CLI
  • dist: the compiled and minified source
  • docs: the webpage and (compiled) playground
  • test: unit tests and test driver

Files and classes needed to translate LaTeX documents to HTML documents:

  • the parser: src/latex-parser.pegjs

  • the generator: src/html-generator.ls

  • macros and documentclasses: src/macros.ls, src/symbols.ls, src/documentclasses/*.ls

  • packages: src/packages/*.ls

  • the CLI: src/latex.js.ls

  • the webcomponent: src/latex.component.js

  • the library API: src/index.js

Files needed to display the generated HTML document:

  • src/js/ (and thus dist/js/): JavaScript that is needed by the resulting HTML document
  • src/css/ (and thus dist/js/): CSS needed by translated HTML document
  • src/fonts/ (and thus dist/fonts): fonts included by the translated HTML document

Architecture

The generated PEG parser parses the LaTeX code. While doing so, it calls appropriate generator functions. The generator then uses the Macros class to execute the macros that the parser encounters.

Both, the parser and the macros create the resulting HTML DOM tree by calling the HtmlGenerator functions.

The generator also holds the stack, the lengths, counters, fonts, references, etc. It provides some of TeX's primitives and basic functionality, so to speak.

Definition of Custom Macros

To define your own LaTeX macros in JavaScript and extend LaTeX.js, you have to create a class that contains these macros and pass it to the HtmlGenerator constructor in the options object as CustomMacros property. For instance:

var generator = new latexjs.HtmlGenerator({
  CustomMacros: (function() {
    var args      = CustomMacros.args = {},
        prototype = CustomMacros.prototype;

    function CustomMacros(generator) {
      this.g = generator;
    }

    args['bf'] = ['HV']
    prototype['bf'] = function() {
      this.g.setFontWeight('bf')
    };

    return CustomMacros;
  }())
});

to define the LaTeX2.09 macro \bf.

If you are going to define custom macros in an external file and you want to use that with the CLI, you will have to name the file just like the class, or you will have to default export it.

Macro Arguments

CustomMacros.args above is a <Map<string, Array<string>>>, mapping the macro name to the type and arguments of the macro. If a macro doesn't take arguments and is a horizontal-mode macro, args can be left undefined for it.

The first array entry of args[<macro name>] declares the macro type:

type meaning
H horizontal-mode macro
V vertical-mode macro - ends the current paragraph
HV horizontal-vertical-mode macro: must return nothing, i.e., doesn't create output
P only in preamble
X special entry, may be used multiple times; execute action (macro body) already now with whatever arguments have been parsed so far; this is needed when things should be done before the next arguments are parsed - no value should be returned by the macro in this case, for it will just be ignored

The rest of the list (array entries) declares the arguments:

arg delimiters meaning content output
s optional star
g { } LaTeX code group (possibly long) TeX allows \endgraf, but not \par... so allow \par as well
hg { } restricted horizontal mode material
o? [ ] optional arg LaTeX code
h restricted horizontal mode material
i { } id letters only
i? [ ] optional id letters only
k { } key anything but = and ,
k? [ ] optional key anything but = and ,
csv { } comma-separated values
csv? [ ] optional comma-separated values
kv? [ ] optional key-value list
u { } url a URL as specified by RFC3986
c { } color specification name or float or float,float,float
m { } macro \macro
l { } length
lg? { } optional length group
l? [ ] optional length
cl { } coordinate/length <float> or TeX length
cl? [ ] optional coordinate/length
n { } num expression
n? [ ] optional num expression
f { } float expression
v ( ) vector, a pair of coordinates (float/length, float/length)
v? optional vector
is ignore (following) spaces

So, in the following example, the macro \title would be a horizontal-vertical-mode macro that takes one mandatory TeX-group argument:

args['title'] = ['HV', 'g'];

Macros with types H or V have to return an array.

Environments take the return value of the corresponding macro and add their content as child/children to it.

API

This section is going to describe the low-level API of the generator and the parser. You will only need it if you implement your own macros, or if you want to access parts of the result and keep processing them.

Parser

parser.parse(latex, { generator: <HtmlGenerator> })

This function parses the given input LaTeX document and returns a generator that creates the output document.

Arguments:

  • latex is the LaTeX source document
  • options object: must contain a generator property with an instance of HtmlGenerator

Returns the HtmlGenerator instance.

class: HtmlGenerator

CTOR: new HtmlGenerator(options)

Create a new HTML generator. options is an <Object> that can have the following properties:

  • documentClass: <string> the default document class if a document without preamble is parsed
  • CustomMacros: a <constructor>/<function> with additional custom macros
  • hyphenate: <boolean> enable or disable automatic hyphenation
  • languagePatterns: language patterns object to use for hyphenation if it is enabled
  • styles: <Array<string>> additional CSS stylesheets

htmlGenerator.reset()

Reset the generator. Needs to be called before the generator is used for creating a second document.

htmlGenerator.htmlDocument(baseURL)

Returns the full DOM HTMLDocument representation of the LaTeX source, including <head> and <body>. This is meant to be used as its own standalone webpage or in an <iframe>.

baseURL will be used as base for the scripts and stylesheets; if omitted, the base will be window.location.href or, if not available, scripts and stylesheets will have relative URLs.

To serialize it, use htmlGenerator.htmlDocument().outerHTML.

htmlGenerator.stylesAndScripts(baseURL)

Returns a DocumentFragment with <link> and <script> elements. This usually is part of the <head> element.

If baseURL is given, the files will be referenced with absolute URLs, otherwise with relative URLs.

htmlGenerator.domFragment()

Returns the DOM DocumentFragment. This does not include the scripts and stylesheets and is meant for testing and low-level embedding.

htmlGenerator.documentTitle()

The title of the document.

Limitations

  • I don't create an intermediate AST yet, so TeX's conditional expressions are impossible
  • deprecated macros, or macros that are not supposed to be used in LaTeX, won't even exist in LaTeX.js. Examples include: eqnarray, the old LaTeX 2.09 font macros \it, \sl, etc. Also missing are most of the plainTeX macros. See also l2tabuen.pdf.
  • incorrect but legal markup in LaTeX won't produce the same result in LaTeX.js - like when using \raggedleft in the middle of a paragraph; but the LaTeX.js result should be intuitively correct.
  • because of the limitations when parsing TeX as a context-free grammar (see below), native LaTeX packages cannot be parsed and loaded. Instead, the macros those packages (and documentclasses) provide have to be implemented in JavaScript.

Limitations of LaTeX.js due to HTML and CSS

The following features in LaTeX just cannot be translated to HTML, not even when using JavaScript:

  • TeX removes any whitespace from the beginning and end of a line, even consecutive ones that would be printed in the middle of a line, like \ or ~ or ^^0020. This is not possible in HTML (yet - maybe it will be with CSS4).
  • horizontal glue, like \hfill in a paragraph of text, is not possible
  • vertical glue makes no sense in HTML, and is impossible to emulate, except in boxes with fixed height
  • \vspace{} with a negative value in horizontal mode, i.e. in the middle of a paragraph of text, is not possible (but this feature is useless anyway)

And the concept of pages does not really apply to HTML, so any macro related to pagebreaks will be ignored. One could say that splitting a HTML file into multiple files is like a pagebreak, but then, still, it would be much easier to handle: just choose a break before a new section or paragraph. There is no absolute space limitation like on a real page.

Limitations when parsing TeX as a context-free grammar

This is a PEG parser, which means it interprets LaTeX as a context-free language. However, TeX (and therefore LaTeX) is Turing complete, so TeX can only really be parsed by a complete Turing machine. It is not possible to parse the full TeX language with a static parser. See here for some interesting examples.

It is even undecidable wheather a TeX program has a parse tree. There has been done some research on the problem of parsing TeX, see here.

To quote the four problems of TeX:

  • Since TeX has dynamic scoping, it is not possible to determine statically wheather a is an argument to \app in \app a or just another letter. It depends on the definition of \app at runtime.

  • Macros can be passed as arguments to other macros, further complicating this problem. E.g.:

    \def\app #1 #2 {#1 #2}
    \def\id #1 {#1}
    \app a b
    \app \id c

    Thus, targets of macro calls can in general not be determined statically.

  • TeX has a lexical macro system, which means macro bodies do not have to be syntactically correct pieces of TeX code. Also, macros can expand to new macro definitions.

  • Tex allows custom macro call syntax. Basically, any syntax could be changed.

I therefore take a slightly different approach:

  • First, I don't care about TeX, but only LaTeX, and most LaTeX documents do not use TeX syntax, or \def in particular. Therefore, this parser assumes standard LaTeX syntax and catcodes.

  • Second, for now there is no way of defining macros, only expanding macros is supported. So if a new LaTeX macro is needed, reimplement it in JavaScript directly, thus circumventing the problem altogether.

Expansion and Execution

Additionally, this parser does not implement TeX's distinction of expansion and execution. I am not yet sure if I need to implement it at all. Right now, there is only one phase that takes a macro and returns an HTML fragment.

Skipped spaces and macros that expand to a macro taking a parameter further down in the input provide a good illustration of why TeX makes this distinction. Consider the commands

\def\a{\penalty200}
\a 0

This is not equivalent to

\penalty200 0

which would place a penalty of 200, and typeset the digit 0. Instead, it expands to

\penalty2000

because the space after \a is skipped in the input processor. Later stages of processing then receive the sequence

\a0

However, LaTeX documents themselves usually don't rely on or need this feature--that is, until I'm convinced otherwise.

This also means that you cannot use \vs^^+ip to have LaTeX.js interpret it as \vskip. Again, this is a feature that most people will probably never need.

Alternatives

If you need a LaTeX to HTML translator that also understands TeX to some extent, take a look at:

Update: sadly, those last two are nowhere near the quality of LaTeX.js.

There is no such alternative in JavaScript yet, though, which is why I started this project. I want to use it in my derby-entities-lib project.

License

License

Copyright (c) 2015-2018 Michael Brade

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