There are many ways you can get involved with MathLive. Contributing to an open source project is fun and rewarding.
If you are using MathLive in your project, encourage the business partners in your organization to provide financial support of open source projects, including MathLive. Contact me to discuss possible arrangments which can run from short-term contracts for specific features or integration support (I can invoice the work), to one-time or recurring donation to support the work in general.
Funds go to general development, support, and infrastructure costs.
If you're running into some problems using MathLive or something doesn't behave the way you think it should, please file an issue in GitHub.
Before filing something, have a look at the existing issues. It's better to avoid filing duplicates. You can add a comment to an existing issue if you'd like.
To speed up the resolution of an issue, including a pointer to an executable test case that demonstrates the issue, if applicable.
Sure! Have a look at the issue report, and make sure no one is already working on it. If the issue is assigned to someone, they're on it! Otherwise, add a comment in the issue indicating you'd like to work on resolving the issue and go for it! See the Language and Coding Style section for coding guidelines.
The test/ folder contains test cases that are used to make sure that bugs are
not introduced as new features are added (regression).
Adding or updating test cases can be very helpful to improve MathLive's quality.
Submit an issue indicating what you'd like to work on, and a pull request when
you have it ready. The test suite uses Playwright for
browser tests and standard .test.ts files for unit tests.
Use the issue tracker to submit requests for new features. First, have a look at what might already be there, and if you don't see anything that matches, write up a new issue.
If you do see something similar to your idea, comment on it or add a 👍.
Whether you have a fix for an issue, some improved test cases, or a brand new feature, we welcome contributions in the form of pull requests. Once submitted, your pull request will be reviewed and you will receive some feedback to make sure that your pull request fits in with
- the roadmap for MathLive
- the architecture of the project
- the coding guidelines of the project
Once your pull request has been accepted, it will be merged into the master branch.
Congratulations, you've become a MathLive contributor! Thanks for your help!
The project uses NPM scripts for its
build system. The package.json file and the scripts/ directory contain the
definitions of the build scripts.
To get started developing:
- Install Node.js on your dev machine (this will also
install
npm). The LTS version is recommended. - If you're using Windows, you will need to install the
bashshell. Thebashshell is required and pre-installed on macOS and Linux. For instructions on how to installbashon Windows, see this article. - Fork and clone this repository, then:
$ cd mathlive
$ npm ciDepending on your system setup, you may need to run as admin, in which case use
sudo npm ci or equivalent.
The npm ci command installs in the mathlive/node_modules directory all the
Node modules necessary to build and test the MathLive SDK.
Once the installation is successful, you can use the following commands:
# Start a local dev server with live reload
# After running this command, point your browser to http://127.0.0.1:9029/dist/smoke/
$ npm start
# Make a local development build in the `dist/` directory
$ npm run build
# Run test suite
$ npm test
# Run the linter
$ npm run lint
# Create a production build to `dist/`
$ npm run build production
# Calculate the code coverage and output to `coverage/`
$ npm test coverageDuring development, keep npm start running. A build will be triggered when a
source file is updated. Note however that changes to .less files do not
trigger a rebuild. You'll need to stop and restart npm start.
To run the test suite locally:
# Install playwright browsers (once per playwright version)
npx playwright install
# Build, then run the full test suite
npm run build
npm testNote that npm run build needs to be run before each npm test run. When
debugging the Playwright browser tests, npx playwright test can be used to
run only the Playwright tests — in that case npm run build is not required,
and the tests can run while the dev server is running.
Run the test suite with npm test and linter with npm run lint to make sure
your changes are ready to submit, then push a PR to the main branch.
If you are getting build errors after updating your repo, your node_modules/
directory may need to be updated. Run:
$ npm ciThe MathLive SDK consists of the following key directories:
css/the stylesheets and fontssounds/the default sound filessrc/corethe core layout engine: parsing LaTeX and rendering itsrc/atomsthe specific "kinds" of atoms that can be displayed (fractions, operators, groups, accents, delimiters, etc.)src/latex-commandsthe definitions for the specific LaTeX commands known by MathLivesrc/formatsconversion to other formats (MathML, ASCIIMath, spoken text, MathJSON, Typst)src/editor-modelthe "state" of the mathfield (its model), including the content and selection, and the code to modify it (insert, remove, etc.)src/editorutilities to handle user interaction, including keybindings, shortcuts, localization, text-to-speech, and commandssrc/editor-mathfieldthe outer layer that handles user input and interaction with the DOMsrc/virtual-keyboardthe virtual keyboard implementationsrc/uishared UI components (menus, icons, colors, geometry, i18n)src/commonshared utilities and typessrc/addonsoptional add-ons (static rendering, definitions metadata)src/publicthe exposed public API of MathLive, including theMathfieldElementwrapper classdist/contains executable build artifacts. If a file namedDEVELOPMENT_BUILDis present in the directory, the content is suitable only for development purposes (not minified, includes.mapfiles).
The content of the dist/ directory is entirely generated as part of the build
process. No other directory should contain intermediate files generated as part
of the build process.
MathLive is written in TypeScript.
The project uses prettier and eslint to enforce consistent formatting and
coding style. They will be run automatically before commits. You can also run
them manually using npm run lint.
The code base attempts to follow these general guidelines:
- Consistency All code in the codebase should look as if it had been written by a single person. Don't write code for yourself, but for the many people who will read it later.
- Clarity before performance Write code that is easy to read, and avoid obscure constructs that may obfuscate the code to improve performance. For example, RegEx are crazy fast in all modern browsers, and trying to roll out your own pattern matching will result in more code and less performance. If you think something could be made faster, use http://jsben.ch/ to try out options in various browsers and compare the results. You might be surprised.
- Follow Postel's Law, the Robustness Principle "Be conservative in what you do, be liberal in what you accept from others". For example, functions that are invoked internally do not need to check that the input parameters are valid. However, public APIs should check the validity of parameters, and behave reasonably when they aren't.
The TypeScript code is compiled to JavaScript by the tsc compiler. When doing
a production build, the JavaScript is bundled and minimized with esbuild. The
CSS files are minimized with postcss.
MathLive is designed for the modern web. Supporting older browsers complicates the effort involved in building new features, but it is also an insecure practice that should not be encouraged.
In this context, modern means the latest two releases of Chrome, Edge, Safari and Firefox. Both desktop and mobile are supported.
Note that the HTML quirks mode is not supported. This means that the host page
should use the strict mode, indicated by a <!doctype html> directive at the
top of the page.
Note that the HTML page should use the UTF-8 encoding. Use a server header or a
<meta charset="UTF-8"> tag in the page if necessary.
MathLive renders math using HTML and CSS. Digits, letters and math symbols are
displayed in <span> tags with the necessary CSS styling to display them in the
right place. In addition, rules (lines) such as the fraction line, are rendered
using CSS borders. In a few rare cases, SVG is used to render some decorations,
such as the annotations of the \enclose command.
The rendered math is not purely graphical, and as such can be accessed by screen readers.
In addition to the "visual" HTML+CSS representation that MathLive outputs, it can also generate alternate renditions, including:
- LaTeX: a string of LaTeX code equivalent to the formula.
- Spoken Text: a text representation of the formula as someone would speak
it, for example:
f(x) = x^2→ "f of x equals x squared" - Annotated Spoken Text: as above, but in addition prosody hints are inserted for a more natural rendition by text to speech systems (breathing pauses, variation in pitch, etc...).
Those alternate renditions are rendered as an ARIA-label, or as an element that is not visually rendered, but visible to screen readers.
Although MathLive works with screen readers, since math is its own language MathLive has its own built-in text to speech renderer. With the speech interface it is possible to:
- read the current group (numerator or subscript, for example)
- Mac:
Ctrl + Command + Down - Windows/Linux/ChromeOS:
Ctrl + Alt + Down
- Mac:
- read what's before or after the selection
- Mac:
Ctrl + Command + Left/Right - Windows/Linux/ChromeOS:
Ctrl + Alt + Left/Right
- Mac:
- read the parent of the current group
- Mac:
Ctrl + Command + Up - Windows/Linux/ChromeOS:
Ctrl + Alt + Up
- Mac:
- read the current selection
- Mac:
Ctrl + Command + Shift + Down - Windows/Linux/ChromeOS:
Ctrl + Alt + Shift + Down
- Mac:
With these convenient keyboard shortcuts, it is possible to aurally navigate and understand even complex formulas.
MathLive supports multiple modalities for input: in addition to pointer devices (mouse, trackpad, touch screen), MathLive has an extensive set of keyboard shortcuts that allow navigation and editing of the most complex formulas. Every operation is possible without the use of a pointing device.
Conversely, it is possible to enter commands and complex mathematical symbols using only a pointing device: the command bar can be invoked by tapping a round toggle button displayed to the right of the formula. The command bar offers large buttons that act as a virtual keyboard, but offer contextual operations depending on the current selection, and the content around it. Those buttons are easy to use on touch screens and for users of alternative pointing devices.
The core of MathLive is a rendering engine that generates HTML (and SVG) markup. This engine uses the TeX layout algorithms because of their quality. Given the same input, MathLive will render pixel for pixel (or very close to it) what TeX would have rendered.
To do so, it makes use of a web version of the fonts used by TeX and which are
included in the dist/fonts/ directory.
Although the rendering engine follows the TeX algorithms, MathLive also has an
in-memory data structure to represent a math expression while it is being edited
(a tree of Atoms).
MathLive is divided into two main components:
- Core: handles rendering of LaTeX to HTML markup
- Editor: handles the user interaction with the formula, using Core for the rendering.
Core takes a LaTeX string as input. A lexer converts the string into Token[]
which are then passed on to a parser. The parser uses the information from
modes-* to parse the tokens depending on the current mode (text, math,
etc...). The LaTeX commands are defined in latex-commands/, and used by the
parser to properly interpret the commands it encounters and turn them into
Atom[].
An Atom is an elementary layout unit, for example a genfrac Atom can layout
a "generalized fraction", that is something with a numerator and denominator,
optionally a bar separating the two, and optionally some opening and closing
fences. It is used by the \frac command, but also \choose, \pdiff
and others.
The Atom[] are then turned into Box[] which are virtual markup elements.
Eventually, the Box[] get rendered into HTML/SVG markup.
The lexer converts a string of TeX code into tokens that can be digested by the parser.
The parser turns a stream of tokens generated by the lexer into math atoms. Those atoms then can be rendered into boxes, or back into LaTeX or into spoken text.
A box is virtual DOM node that is used to represent an element displayed in a web page: a symbol such as x or =, an open brace, a line separating the numerator and denominator of a fraction, etc...
The basic layout strategy is to calculate the vertical placement of the boxes and position them accordingly, while letting the HTML rendering engine position and display the horizontal items. When horizontal adjustments need to be made, such as additional space between items the CSS margin are adjusted.
boxes can be rendered to HTML markup with Box.toMarkup() before being
displayed on the page.
An atom is an object representing a mathematical symbol, for example x, 1, a
fraction, a delimiter, etc...
There are several different classes of Atom (subclass of the base Atom class).
Each class represents different layout algorithm (different ways of generating
boxes in their render() method) as well as different ways to generate LaTeX to
represent the atom (in their serialize() method)
It can be of one of the following classes:
- Atom: the base class is used for the simplest symbol, e.g.
x,1,\alpha - AccentAtom: a diacritic mark above a symbol
- ArrayAtom: "environments" in TeX parlance, a matrix, vector or other array-like structure
- BoxAtom: a decoration around a "nucleus", including a color background, lines, etc...
- DelimAtom and SizedDelimAtom delimiters and extensible delimiters
- see
src/atomsfor more.
The mathfield is the object handling the user interaction and driving the
rendering of the formula into the document.
It makes use of several subcomponents (virtual-keyboard, undo, etc...) to
handle specific aspects of the user interaction. It makes changes to the formula
by issuing basic editing commands such as insert(), delete() and modifying
the selection to the model.
The model keep track of the state of the formula, including its content (a
tree of Atom) and the selection and interacts with the core to turn the Atom
into Box and into markup.
The Model class encapsulates the operations that can be done to a tree of
atoms, including adding and removing content and keeping track of and modifying
an insertion point and selection.
The Mathfield class is a user interface element that captures the keyboard and
pointing device events, and presents an appropriate user experience.
It uses a Model to manipulate the in-memory representation of the math
expression being edited.
If you are a maintainer of the project, you can publish a new version of MathLive to npm. To do so, follow these steps:
# Update the version number in package.json
npm version patch
# Build the production version of MathLive
npm run dist
# Publish the new version to npm
npm publish ./dist
