[
{
"path": ".gitignore",
"content": "# Byte-compiled / optimized / DLL files\n__pycache__/\n*.py[cod]\n*$py.class\n\n# C extensions\n*.so\n\n# Distribution / packaging\n.Python\nbuild/\ndevelop-eggs/\ndist/\ndownloads/\neggs/\n.eggs/\n# lib/\nlib64/\nparts/\nsdist/\nvar/\nwheels/\npip-wheel-metadata/\nshare/python-wheels/\n*.egg-info/\n.installed.cfg\n*.egg\nMANIFEST\n\n# PyInstaller\n# Usually these files are written by a python script from a template\n# before PyInstaller builds the exe, so as to inject date/other infos into it.\n*.manifest\n*.spec\n\n# Installer logs\npip-log.txt\npip-delete-this-directory.txt\n\n# Unit test / coverage reports\nhtmlcov/\n.tox/\n.nox/\n.coverage\n.coverage.*\n.cache\nnosetests.xml\ncoverage.xml\n*.cover\n*.py,cover\n.hypothesis/\n.pytest_cache/\n\n# Translations\n*.mo\n*.pot\n\n# Django stuff:\n*.log\nlocal_settings.py\ndb.sqlite3\ndb.sqlite3-journal\n\n# Flask stuff:\ninstance/\n.webassets-cache\n\n# Scrapy stuff:\n.scrapy\n\n# Sphinx documentation\ndocs/_build/\n\n# PyBuilder\ntarget/\n\n# Jupyter Notebook\n.ipynb_checkpoints\n\n# IPython\nprofile_default/\nipython_config.py\n\n# pyenv\n.python-version\n\n# pipenv\n# According to pypa/pipenv#598, it is recommended to include Pipfile.lock in version control.\n# However, in case of collaboration, if having platform-specific dependencies or dependencies\n# having no cross-platform support, pipenv may install dependencies that don't work, or not\n# install all needed dependencies.\n#Pipfile.lock\n\n# PEP 582; used by e.g. github.com/David-OConnor/pyflow\n__pypackages__/\n\n# Celery stuff\ncelerybeat-schedule\ncelerybeat.pid\n\n# SageMath parsed files\n*.sage.py\n\n# Environments\n.env\n.venv\nenv/\nvenv/\nENV/\nenv.bak/\nvenv.bak/\n\n# Spyder project settings\n.spyderproject\n.spyproject\n\n# Rope project settings\n.ropeproject\n\n# mkdocs documentation\n/site\n\n# mypy\n.mypy_cache/\n.dmypy.json\ndmypy.json\n\n# Pyre type checker\n.pyre/\n\nnotebooks/**\n!notebooks/LaTeX_OCR*.ipynb\n.ipynb_checkpoints/\n**/dataset/data/**\nwandb/\npix2tex/model/checkpoints/**\n!pix2tex/model/checkpoints/*.py\n!**/.gitkeep\n.vscode\n.DS_Store\ntest/*\n\n"
},
{
"path": ".readthedocs.yaml",
"content": "# .readthedocs.yaml\n# Read the Docs configuration file\n# See https://docs.readthedocs.io/en/stable/config-file/v2.html for details\n\n# Required\nversion: 2\n\n# Set the version of Python and other tools you might need\nbuild:\n os: ubuntu-20.04\n tools:\n python: \"3.9\"\n\n# Build documentation in the docs/ directory with Sphinx\nsphinx:\n configuration: docs/conf.py\n\n# If using Sphinx, optionally build your docs in additional formats such as PDF\n# formats:\n# - pdf\n\n# Optionally declare the Python requirements required to build your docs\npython:\n install:\n - requirements: docs/requirements.txt\n - method: pip\n path: .\n extra_requirements:\n - all\n"
},
{
"path": "LICENSE",
"content": "MIT License\n\nCopyright (c) 2021 Lukas Blecher\n\nPermission is hereby granted, free of charge, to any person obtaining a copy\nof this software and associated documentation files (the \"Software\"), to deal\nin the Software without restriction, including without limitation the rights\nto use, copy, modify, merge, publish, distribute, sublicense, and/or sell\ncopies of the Software, and to permit persons to whom the Software is\nfurnished to do so, subject to the following conditions:\n\nThe above copyright notice and this permission notice shall be included in all\ncopies or substantial portions of the Software.\n\nTHE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\nIMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\nFITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE\nAUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\nLIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,\nOUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE\nSOFTWARE.\n"
},
{
"path": "MANIFEST.in",
"content": "exclude **\\*.pth \n"
},
{
"path": "README.md",
"content": "# pix2tex - LaTeX OCR\n\n[](https://github.com/lukas-blecher/LaTeX-OCR) [](https://pix2tex.readthedocs.io/en/latest/?badge=latest) [](https://pypi.org/project/pix2tex) [](https://pypi.org/project/pix2tex) [](https://github.com/lukas-blecher/LaTeX-OCR/releases) [](https://hub.docker.com/r/lukasblecher/pix2tex) [](https://colab.research.google.com/github/lukas-blecher/LaTeX-OCR/blob/main/notebooks/LaTeX_OCR_test.ipynb) [](https://huggingface.co/spaces/lukbl/LaTeX-OCR)\n\nThe goal of this project is to create a learning based system that takes an image of a math formula and returns corresponding LaTeX code. \n\n\n\n## Using the model\nTo run the model you need Python 3.7+\n\nIf you don't have PyTorch installed. Follow their instructions [here](https://pytorch.org/get-started/locally/).\n\nInstall the package `pix2tex`: \n\n```\npip install \"pix2tex[gui]\"\n```\n\nModel checkpoints will be downloaded automatically.\n\nThere are three ways to get a prediction from an image. \n1. You can use the command line tool by calling `pix2tex`. Here you can parse already existing images from the disk and images in your clipboard.\n\n2. Thanks to [@katie-lim](https://github.com/katie-lim), you can use a nice user interface as a quick way to get the model prediction. Just call the GUI with `latexocr`. From here you can take a screenshot and the predicted latex code is rendered using [MathJax](https://www.mathjax.org/) and copied to your clipboard.\n\n Under linux, it is possible to use the GUI with `gnome-screenshot` (which comes with multiple monitor support). For other Wayland compositers, `grim` and `slurp` will be used for wlroots-based Wayland compositers and `spectacle` for KDE Plasma. Note that `gnome-screenshot` is not compatible with wlroots or Qt based compositers. Since `gnome-screenshot` will be preferred when available, you may have to set the environment variable `SCREENSHOT_TOOL` to `grim` or `spectacle` in these cases (other available values are `gnome-screenshot` and `pil`).\n\n \n\n If the model is unsure about the what's in the image it might output a different prediction every time you click \"Retry\". With the `temperature` parameter you can control this behavior (low temperature will produce the same result).\n\n3. You can use an API. This has additional dependencies. Install via `pip install -U \"pix2tex[api]\"` and run\n ```bash\n python -m pix2tex.api.run\n ```\n to start a [Streamlit](https://streamlit.io/) demo that connects to the API at port 8502. There is also a docker image available for the API: https://hub.docker.com/r/lukasblecher/pix2tex [](https://hub.docker.com/r/lukasblecher/pix2tex)\n\n ```\n docker pull lukasblecher/pix2tex:api\n docker run --rm -p 8502:8502 lukasblecher/pix2tex:api\n ```\n To also run the streamlit demo run\n ```\n docker run --rm -it -p 8501:8501 --entrypoint python lukasblecher/pix2tex:api pix2tex/api/run.py\n ```\n and navigate to http://localhost:8501/\n\n4. Use from within Python\n ```python\n from PIL import Image\n from pix2tex.cli import LatexOCR\n \n img = Image.open('path/to/image.png')\n model = LatexOCR()\n print(model(img))\n ```\n\nThe model works best with images of smaller resolution. That's why I added a preprocessing step where another neural network predicts the optimal resolution of the input image. This model will automatically resize the custom image to best resemble the training data and thus increase performance of images found in the wild. Still it's not perfect and might not be able to handle huge images optimally, so don't zoom in all the way before taking a picture. \n\nAlways double check the result carefully. You can try to redo the prediction with an other resolution if the answer was wrong.\n\n**Want to use the package?**\n\nI'm trying to compile a documentation right now. \n\nVisit here: https://pix2tex.readthedocs.io/ \n\n\n## Training the model [](https://colab.research.google.com/github/lukas-blecher/LaTeX-OCR/blob/main/notebooks/LaTeX_OCR_training.ipynb)\n\nInstall a couple of dependencies `pip install \"pix2tex[train]\"`.\n1. First we need to combine the images with their ground truth labels. I wrote a dataset class (which needs further improving) that saves the relative paths to the images with the LaTeX code they were rendered with. To generate the dataset pickle file run \n\n```\npython -m pix2tex.dataset.dataset --equations path_to_textfile --images path_to_images --out dataset.pkl\n```\nTo use your own tokenizer pass it via `--tokenizer` (See below).\n\nYou can find my generated training data on the [Google Drive](https://drive.google.com/drive/folders/13CA4vAmOmD_I_dSbvLp-Lf0s6KiaNfuO) as well (formulae.zip - images, math.txt - labels). Repeat the step for the validation and test data. All use the same label text file.\n\n2. Edit the `data` (and `valdata`) entry in the config file to the newly generated `.pkl` file. Change other hyperparameters if you want to. See `pix2tex/model/settings/config.yaml` for a template.\n3. Now for the actual training run \n```\npython -m pix2tex.train --config path_to_config_file\n```\n\nIf you want to use your own data you might be interested in creating your own tokenizer with\n```\npython -m pix2tex.dataset.dataset --equations path_to_textfile --vocab-size 8000 --out tokenizer.json\n```\nDon't forget to update the path to the tokenizer in the config file and set `num_tokens` to your vocabulary size.\n\n## Model\nThe model consist of a ViT [[1](#References)] encoder with a ResNet backbone and a Transformer [[2](#References)] decoder.\n\n### Performance\n| BLEU score | normed edit distance | token accuracy |\n| ---------- | -------------------- | -------------- |\n| 0.88 | 0.10 | 0.60 |\n\n## Data\nWe need paired data for the network to learn. Luckily there is a lot of LaTeX code on the internet, e.g. [wikipedia](https://www.wikipedia.org), [arXiv](https://www.arxiv.org). We also use the formulae from the [im2latex-100k](https://zenodo.org/record/56198#.V2px0jXT6eA) [[3](#References)] dataset.\nAll of it can be found [here](https://drive.google.com/drive/folders/13CA4vAmOmD_I_dSbvLp-Lf0s6KiaNfuO)\n\n### Dataset Requirements\nIn order to render the math in many different fonts we use XeLaTeX, generate a PDF and finally convert it to a PNG. For the last step we need to use some third party tools: \n* [XeLaTeX](https://www.ctan.org/pkg/xetex)\n* [ImageMagick](https://imagemagick.org/) with [Ghostscript](https://www.ghostscript.com/index.html). (for converting pdf to png)\n* [Node.js](https://nodejs.org/) to run [KaTeX](https://github.com/KaTeX/KaTeX) (for normalizing Latex code)\n* Python 3.7+ & dependencies (specified in `setup.py`)\n\n### Fonts\nLatin Modern Math, GFSNeohellenicMath.otf, Asana Math, XITS Math, Cambria Math\n\n\n## TODO\n- [x] add more evaluation metrics\n- [x] create a GUI\n- [ ] add beam search\n- [ ] support handwritten formulae (kinda done, see training colab notebook)\n- [ ] reduce model size (distillation)\n- [ ] find optimal hyperparameters\n- [ ] tweak model structure\n- [ ] fix data scraping and scrape more data\n- [ ] trace the model ([#2](https://github.com/lukas-blecher/LaTeX-OCR/issues/2))\n\n\n## Contribution\nContributions of any kind are welcome.\n\n## Acknowledgment\nCode taken and modified from [lucidrains](https://github.com/lucidrains), [rwightman](https://github.com/rwightman/pytorch-image-models), [im2markup](https://github.com/harvardnlp/im2markup), [arxiv_leaks](https://github.com/soskek/arxiv_leaks), [pkra: Mathjax](https://github.com/pkra/MathJax-single-file), [harupy: snipping tool](https://github.com/harupy/snipping-tool)\n\n## References\n[1] [An Image is Worth 16x16 Words](https://arxiv.org/abs/2010.11929)\n\n[2] [Attention Is All You Need](https://arxiv.org/abs/1706.03762)\n\n[3] [Image-to-Markup Generation with Coarse-to-Fine Attention](https://arxiv.org/abs/1609.04938v2)\n"
},
{
"path": "docker/api.dockerfile",
"content": "FROM python:3.8-slim\nRUN pip install torch>=1.7.1\nWORKDIR /latexocr\nADD pix2tex /latexocr/pix2tex/\nADD setup.py /latexocr/\nADD README.md /latexocr/\nRUN pip install -e .[api]\nRUN python -m pix2tex.model.checkpoints.get_latest_checkpoint\n\nENTRYPOINT [\"uvicorn\", \"pix2tex.api.app:app\", \"--host\", \"0.0.0.0\", \"--port\", \"8502\"]\n"
},
{
"path": "docker/build-api.sh",
"content": "# cd into proj. root\ncd $(dirname $0)\ncd ..\ndocker build -t lukasblecher/pix2tex:api -f docker/api.dockerfile .\n"
},
{
"path": "docs/Makefile",
"content": "# Minimal makefile for Sphinx documentation\n#\n\n# You can set these variables from the command line, and also\n# from the environment for the first two.\nSPHINXOPTS ?=\nSPHINXBUILD ?= sphinx-build\nSOURCEDIR = .\nBUILDDIR = _build\n\n# Put it first so that \"make\" without argument is like \"make help\".\nhelp:\n\t@$(SPHINXBUILD) -M help \"$(SOURCEDIR)\" \"$(BUILDDIR)\" $(SPHINXOPTS) $(O)\n\n.PHONY: help Makefile\n\n# Catch-all target: route all unknown targets to Sphinx using the new\n# \"make mode\" option. $(O) is meant as a shortcut for $(SPHINXOPTS).\n%: Makefile\n\t@$(SPHINXBUILD) -M $@ \"$(SOURCEDIR)\" \"$(BUILDDIR)\" $(SPHINXOPTS) $(O)\n"
},
{
"path": "docs/conf.py",
"content": "# Configuration file for the Sphinx documentation builder.\n#\n# This file only contains a selection of the most common options. For a full\n# list see the documentation:\n# https://www.sphinx-doc.org/en/master/usage/configuration.html\n\n# -- Path setup --------------------------------------------------------------\n\n# If extensions (or modules to document with autodoc) are in another directory,\n# add these directories to sys.path here. If the directory is relative to the\n# documentation root, use os.path.abspath to make it absolute, like shown here.\n#\n# import os\n# import sys\n# sys.path.insert(0, os.path.abspath('.'))\n\n\n# -- Project information -----------------------------------------------------\n\nproject = 'LaTeX-OCR'\ncopyright = '2022, Lukas Blecher'\nauthor = 'Lukas Blecher'\n\n\n# -- General configuration ---------------------------------------------------\n\n# Add any Sphinx extension module names here, as strings. They can be\n# extensions coming with Sphinx (named 'sphinx.ext.*') or your custom\n# ones.\nextensions = ['myst_parser', 'sphinx.ext.autodoc']\n\n# Add any paths that contain templates here, relative to this directory.\ntemplates_path = ['_templates']\n\n# List of patterns, relative to source directory, that match files and\n# directories to ignore when looking for source files.\n# This pattern also affects html_static_path and html_extra_path.\nexclude_patterns = ['_build', 'Thumbs.db', '.DS_Store']\n\nautoclass_content = 'both'\n# -- Options for HTML output -------------------------------------------------\n\n# Add any paths that contain custom static files (such as style sheets) here,\n# relative to this directory. They are copied after the builtin static files,\n# so a file named \"default.css\" will overwrite the builtin \"default.css\".\nhtml_static_path = ['_static']\n"
},
{
"path": "docs/index.rst",
"content": ".. LaTeX-OCR documentation master file, created by\n sphinx-quickstart on Sun May 1 16:39:27 2022.\n You can adapt this file completely to your liking, but it should at least\n contain the root `toctree` directive.\n\nWelcome to LaTeX-OCR's documentation!\n=====================================\n\n.. |ico| image:: https://img.shields.io/badge/LaTeX--OCR-visit-a?style=social&logo=github\n :target: https://github.com/lukas-blecher/LaTeX-OCR\nThis is the documentation for LaTeX-OCR |ico|. The goal of this project is to find a corresponding LaTeX code for a given image of an equation.\n\n\n.. toctree::\n :maxdepth: 2\n :caption: Contents:\n\n installation\n pix2tex\n\n\nIndices and tables\n==================\n\n* :ref:`genindex`\n* :ref:`modindex`\n* :ref:`search`\n"
},
{
"path": "docs/installation.md",
"content": "Installation\n============\n\nPython package\n--------------\n\nTo run the model you need Python 3.7+\n\nIf you don't have PyTorch installed. Follow their instructions [here](https://pytorch.org/get-started/locally/).\n\nInstall the package `pix2tex`: \n\n```\npip install pix2tex[gui]\n```\n\nModel checkpoints will be downloaded automatically when first running the script.\n\nTo install\n- with GUI dependencies use tag `[gui]`.\n- with training dependencies use tag `[train]`.\n- with api dependencies use tag `[api]`.\n- all dependencies use tag `[all]`.\n\nDocker\n------\n\nThe API can be used from a docker container, available on [DockerHub](https://hub.docker.com/r/lukasblecher/pix2tex)\n```\ndocker pull lukasblecher/pix2tex:api\ndocker run -p 8502:8502 lukasblecher/pix2tex:api\n```\nThis starts the API which is available at port 8502.\n\nTo use the [Streamlit](https://streamlit.io/) demo run instead\n```\ndocker run -it -p 8501:8501 --entrypoint python lukasblecher/pix2tex:api pix2tex/api/run.py\n```\nand navigate to [http://localhost:8501/](http://localhost:8501/)\n"
},
{
"path": "docs/make.bat",
"content": "@ECHO OFF\n\npushd %~dp0\n\nREM Command file for Sphinx documentation\n\nif \"%SPHINXBUILD%\" == \"\" (\n\tset SPHINXBUILD=sphinx-build\n)\nset SOURCEDIR=.\nset BUILDDIR=_build\n\n%SPHINXBUILD% >NUL 2>NUL\nif errorlevel 9009 (\n\techo.\n\techo.The 'sphinx-build' command was not found. Make sure you have Sphinx\n\techo.installed, then set the SPHINXBUILD environment variable to point\n\techo.to the full path of the 'sphinx-build' executable. Alternatively you\n\techo.may add the Sphinx directory to PATH.\n\techo.\n\techo.If you don't have Sphinx installed, grab it from\n\techo.https://www.sphinx-doc.org/\n\texit /b 1\n)\n\nif \"%1\" == \"\" goto help\n\n%SPHINXBUILD% -M %1 %SOURCEDIR% %BUILDDIR% %SPHINXOPTS% %O%\ngoto end\n\n:help\n%SPHINXBUILD% -M help %SOURCEDIR% %BUILDDIR% %SPHINXOPTS% %O%\n\n:end\npopd\n"
},
{
"path": "docs/pix2tex.rst",
"content": "pix2tex\n=======\n\npix2tex.cli package\n-------------------\n\n.. automodule:: pix2tex.cli\n :members:\n :no-undoc-members:\n :show-inheritance:\n\n\npix2tex.gui package\n-------------------\n\n.. automodule:: pix2tex.gui\n :members:\n :no-undoc-members:\n :show-inheritance:\n\npix2tex.api package\n-------------------\n\nSubmodules\n~~~~~~~~~~\n\npix2tex.api.app module\n~~~~~~~~~~~~~~~~~~~~~~\n\n.. automodule:: pix2tex.api.app\n :members:\n :no-undoc-members:\n :show-inheritance:\n\n\npix2tex.api.streamlit module\n~~~~~~~~~~~~~~~~~~~~~~~~~~~~\n\n.. automodule:: pix2tex.api.streamlit\n :members:\n :no-undoc-members:\n :show-inheritance:\n\npix2tex.dataset package\n-----------------------\n\nSubmodules\n~~~~~~~~~~\n\npix2tex.dataset.arxiv module\n~~~~~~~~~~~~~~~~~~~~~~~~~~~~\n\n.. automodule:: pix2tex.dataset.arxiv\n :members:\n :no-undoc-members:\n :show-inheritance:\n\npix2tex.dataset.dataset module\n~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\n\n.. automodule:: pix2tex.dataset.dataset\n :members:\n :no-undoc-members:\n :show-inheritance:\n\npix2tex.dataset.demacro module\n~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\n\n.. automodule:: pix2tex.dataset.demacro\n :members:\n :no-undoc-members:\n :show-inheritance:\n\npix2tex.dataset.extract\\_latex module\n~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\n\n.. automodule:: pix2tex.dataset.extract_latex\n :members:\n :no-undoc-members:\n :show-inheritance:\n\npix2tex.dataset.latex2png module\n~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\n\n.. automodule:: pix2tex.dataset.latex2png\n :members:\n :no-undoc-members:\n :show-inheritance:\n\npix2tex.dataset.render module\n~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\n\n.. automodule:: pix2tex.dataset.render\n :members:\n :no-undoc-members:\n :show-inheritance:\n\npix2tex.dataset.scraping module\n~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\n\n.. automodule:: pix2tex.dataset.scraping\n :members:\n :no-undoc-members:\n :show-inheritance:\n\npix2tex.models package\n----------------------\n\npix2tex.models.hybrid module\n~~~~~~~~~~~~~~~~~~~~~~~~~~~~\n\n.. automodule:: pix2tex.models.hybrid\n :members:\n :no-undoc-members:\n :show-inheritance:\n\npix2tex.models.vit module\n~~~~~~~~~~~~~~~~~~~~~~~~~\n\n.. automodule:: pix2tex.models.vit\n :members:\n :no-undoc-members:\n :show-inheritance:\n\npix2tex.utils package\n---------------------\n\npix2tex.utils.utils module\n~~~~~~~~~~~~~~~~~~~~~~~~~~\n\n.. automodule:: pix2tex.utils.utils\n :members:\n :no-undoc-members:\n :show-inheritance:\n"
},
{
"path": "docs/requirements.txt",
"content": "myst_parser\ntorch>=1.7.1\n"
},
{
"path": "notebooks/LaTeX_OCR_test.ipynb",
"content": "{\n \"nbformat\": 4,\n \"nbformat_minor\": 0,\n \"metadata\": {\n \"colab\": {\n \"name\": \"LaTeX OCR test.ipynb\",\n \"provenance\": [],\n \"collapsed_sections\": []\n },\n \"kernelspec\": {\n \"name\": \"python3\",\n \"display_name\": \"Python 3\"\n },\n \"language_info\": {\n \"name\": \"python\"\n }\n },\n \"cells\": [\n {\n \"cell_type\": \"markdown\",\n \"source\": [\n \"# LaTeX OCR\\n\",\n \"In this colab you can convert an image of an equation into LaTeX code.\\n\",\n \"## How?\\n\",\n \"Execute the cell titled \\\"Setup\\\". The first time an error will show up. Simply execute the cell again. Everything should be fine now.\\n\",\n \"\\n\",\n \"Next, execute the cell below and upload the image(s).\\n\",\n \"\\n\",\n \"> Note: You can probably also run this project locally and with a GUI. Follow the steps on [GitHub](https://github.com/lukas-blecher/LaTeX-OCR)\"\n ],\n \"metadata\": {\n \"id\": \"aaAqi3wku23I\"\n }\n },\n {\n \"cell_type\": \"code\",\n \"execution_count\": null,\n \"metadata\": {\n \"cellView\": \"form\",\n \"id\": \"DQM_PKeCuzWR\"\n },\n \"outputs\": [],\n \"source\": [\n \"#@title Setup\\n\",\n \"%reload_ext autoreload\\n\",\n \"%autoreload\\n\",\n \"import PIL\\n\",\n \"!pip install Pillow -U -qq\\n\",\n \"if int(PIL.__version__[0]) < 9:\\n\",\n \" print('Mandatory restart: Execute this cell again!')\\n\",\n \" import os\\n\",\n \" os.kill(os.getpid(), 9)\\n\",\n \"!pip install pix2tex -qq\\n\",\n \"!pip install opencv-python-headless==4.1.2.30 -U -qq\\n\",\n \"\\n\",\n \"def upload_files():\\n\",\n \" from google.colab import files\\n\",\n \" from io import BytesIO\\n\",\n \" uploaded = files.upload()\\n\",\n \" return [(name, BytesIO(b)) for name, b in uploaded.items()]\\n\",\n \"\\n\",\n \"from pix2tex import cli as pix2tex\\n\",\n \"from PIL import Image\\n\",\n \"model = pix2tex.LatexOCR()\\n\",\n \"\\n\",\n \"from IPython.display import HTML, Math\\n\",\n \"display(HTML(\\\"\\\"))\\n\",\n \"table = r'\\\\begin{array} {l|l} %s \\\\end{array}'\"\n ]\n },\n {\n \"cell_type\": \"code\",\n \"source\": [\n \"imgs = upload_files()\\n\",\n \"predictions = []\\n\",\n \"for name, f in imgs:\\n\",\n \" img = Image.open(f)\\n\",\n \" math = model(img)\\n\",\n \" print(math)\\n\",\n \" predictions.append('\\\\\\\\mathrm{%s} & \\\\\\\\displaystyle{%s}'%(name, math))\\n\",\n \"Math(table%'\\\\\\\\\\\\\\\\'.join(predictions))\"\n ],\n \"metadata\": {\n \"id\": \"CjrR3O07u3uH\"\n },\n \"execution_count\": null,\n \"outputs\": []\n },\n {\n \"cell_type\": \"code\",\n \"source\": [\n \"\"\n ],\n \"metadata\": {\n \"id\": \"ZqCH-4XoCkMO\"\n },\n \"execution_count\": null,\n \"outputs\": []\n }\n ]\n}"
},
{
"path": "notebooks/LaTeX_OCR_training.ipynb",
"content": "{\n \"nbformat\": 4,\n \"nbformat_minor\": 0,\n \"metadata\": {\n \"colab\": {\n \"name\": \"LaTeX-OCR training.ipynb\",\n \"provenance\": [],\n \"collapsed_sections\": []\n },\n \"kernelspec\": {\n \"name\": \"python3\",\n \"display_name\": \"Python 3\"\n },\n \"language_info\": {\n \"name\": \"python\"\n },\n \"accelerator\": \"GPU\"\n },\n \"cells\": [\n {\n \"cell_type\": \"markdown\",\n \"source\": [\n \"# Train a LaTeX OCR model\\n\",\n \"In this brief notebook I show how you can finetune/train an OCR model.\\n\",\n \"\\n\",\n \"I've opted to mix in handwritten data into the regular pdf LaTeX images. For that I started out with the released pretrained model and continued training on the slightly larger corpus.\"\n ],\n \"metadata\": {\n \"id\": \"YtR1GhYwnLnu\"\n }\n },\n {\n \"cell_type\": \"code\",\n \"metadata\": {\n \"id\": \"r396ah-Q3EQc\"\n },\n \"source\": [\n \"!pip install pix2tex[train] -qq\"\n ],\n \"execution_count\": null,\n \"outputs\": []\n },\n {\n \"cell_type\": \"code\",\n \"metadata\": {\n \"id\": \"dZ4PLwkb3RIs\"\n },\n \"source\": [\n \"import os\\n\",\n \"!mkdir -p LaTeX-OCR\\n\",\n \"os.chdir('LaTeX-OCR')\"\n ],\n \"execution_count\": null,\n \"outputs\": []\n },\n {\n \"cell_type\": \"code\",\n \"metadata\": {\n \"id\": \"cUsTlxXV3Mot\"\n },\n \"source\": [\n \"!pip install gpustat -q\\n\",\n \"!pip install opencv-python-headless==4.1.2.30 -U -q\\n\",\n \"!pip install --upgrade --no-cache-dir gdown -q\"\n ],\n \"execution_count\": null,\n \"outputs\": []\n },\n {\n \"cell_type\": \"code\",\n \"source\": [\n \"# check what GPU we have\\n\",\n \"!gpustat\"\n ],\n \"metadata\": {\n \"id\": \"uhLzh5vyaCaL\"\n },\n \"execution_count\": null,\n \"outputs\": []\n },\n {\n \"cell_type\": \"code\",\n \"metadata\": {\n \"id\": \"aAz37dDU21zu\"\n },\n \"source\": [\n \"!mkdir -p dataset/data\\n\",\n \"!mkdir images\\n\",\n \"# Google Drive ids\\n\",\n \"# handwritten: 13vjxGYrFCuYnwgDIUqkxsNGKk__D_sOM\\n\",\n \"# pdf - images: 176PKaCUDWmTJdQwc-OfkO0y8t4gLsIvQ\\n\",\n \"# pdf - math: 1QUjX6PFWPa-HBWdcY-7bA5TRVUnbyS1D\\n\",\n \"!gdown -O dataset/data/crohme.zip --id 13vjxGYrFCuYnwgDIUqkxsNGKk__D_sOM\\n\",\n \"!gdown -O dataset/data/pdf.zip --id 176PKaCUDWmTJdQwc-OfkO0y8t4gLsIvQ\\n\",\n \"!gdown -O dataset/data/pdfmath.txt --id 1QUjX6PFWPa-HBWdcY-7bA5TRVUnbyS1D\\n\",\n \"os.chdir('dataset/data')\\n\",\n \"!unzip -q crohme.zip \\n\",\n \"!unzip -q pdf.zip \\n\",\n \"# split handwritten data into val set and train set\\n\",\n \"os.chdir('images')\\n\",\n \"!mkdir ../valimages\\n\",\n \"!ls | shuf -n 1000 | xargs -i mv {} ../valimages\\n\",\n \"os.chdir('../../..')\"\n ],\n \"execution_count\": null,\n \"outputs\": []\n },\n {\n \"cell_type\": \"markdown\",\n \"source\": [\n \"Now we generate the datasets. We can string multiple datasets together to get one large lookup table. The only thing saved in these pkl files are image sizes, image location and the ground truth latex code. That way we can serve batches of images with the same dimensionality.\"\n ],\n \"metadata\": {\n \"id\": \"2BMuIqRIqG-8\"\n }\n },\n {\n \"cell_type\": \"code\",\n \"source\": [\n \"!python -m pix2tex.dataset.dataset -i dataset/data/images dataset/data/train -e dataset/data/CROHME_math.txt dataset/data/pdfmath.txt -o dataset/data/train.pkl\"\n ],\n \"metadata\": {\n \"id\": \"1JebcEarl-g6\"\n },\n \"execution_count\": null,\n \"outputs\": []\n },\n {\n \"cell_type\": \"code\",\n \"source\": [\n \"!python -m pix2tex.dataset.dataset -i dataset/data/valimages dataset/data/val -e dataset/data/CROHME_math.txt dataset/data/pdfmath.txt -o dataset/data/val.pkl\"\n ],\n \"metadata\": {\n \"id\": \"x_Orutb37xHD\"\n },\n \"execution_count\": null,\n \"outputs\": []\n },\n {\n \"cell_type\": \"code\",\n \"source\": [\n \"# download the weights we want to fine tune\\n\",\n \"!curl -L -o weights.pth https://github.com/lukas-blecher/LaTeX-OCR/releases/download/v0.0.1/weights.pth\"\n ],\n \"metadata\": {\n \"id\": \"I3iOyEEBbw58\"\n },\n \"execution_count\": null,\n \"outputs\": []\n },\n {\n \"cell_type\": \"code\",\n \"source\": [\n \"# If using wandb\\n\",\n \"!pip install -q wandb \\n\",\n \"# you can cancel this if you don't wan't to use it or don't have a W&B acc.\\n\",\n \"#!wandb login\"\n ],\n \"metadata\": {\n \"id\": \"vow2NnpHmWt0\"\n },\n \"execution_count\": null,\n \"outputs\": []\n },\n {\n \"cell_type\": \"code\",\n \"source\": [\n \"# generate colab specific config (set 'debug' to true if wandb is not used)\\n\",\n \"!echo {backbone_layers: [2, 3, 7], betas: [0.9, 0.999], batchsize: 10, bos_token: 1, channels: 1, data: dataset/data/train.pkl, debug: true, decoder_args: {'attn_on_attn': true, 'cross_attend': true, 'ff_glu': true, 'rel_pos_bias': false, 'use_scalenorm': false}, dim: 256, encoder_depth: 4, eos_token: 2, epochs: 50, gamma: 0.9995, heads: 8, id: null, load_chkpt: 'weights.pth', lr: 0.001, lr_step: 30, max_height: 192, max_seq_len: 512, max_width: 672, min_height: 32, min_width: 32, model_path: checkpoints, name: mixed, num_layers: 4, num_tokens: 8000, optimizer: Adam, output_path: outputs, pad: false, pad_token: 0, patch_size: 16, sample_freq: 2000, save_freq: 1, scheduler: StepLR, seed: 42, temperature: 0.2, test_samples: 5, testbatchsize: 20, tokenizer: dataset/tokenizer.json, valbatches: 100, valdata: dataset/data/val.pkl} > colab.yaml\"\n ],\n \"metadata\": {\n \"id\": \"OnsNCLp84QSY\"\n },\n \"execution_count\": null,\n \"outputs\": []\n },\n {\n \"cell_type\": \"code\",\n \"metadata\": {\n \"id\": \"c8NU5j2k3z36\"\n },\n \"source\": [\n \"!python -m pix2tex.train --config colab.yaml\"\n ],\n \"execution_count\": null,\n \"outputs\": []\n },\n {\n \"cell_type\": \"code\",\n \"source\": [\n \"\"\n ],\n \"metadata\": {\n \"id\": \"g3DU9KxubWgq\"\n },\n \"execution_count\": null,\n \"outputs\": []\n }\n ]\n}"
},
{
"path": "pix2tex/__init__.py",
"content": "import os\nos.environ['FOR_DISABLE_CONSOLE_CTRL_HANDLER'] = '1'\n"
},
{
"path": "pix2tex/__main__.py",
"content": "#!/usr/bin/env python\ndef main():\n from argparse import ArgumentParser\n\n parser = ArgumentParser()\n parser.add_argument('-t', '--temperature', type=float, default=.333, help='Softmax sampling frequency')\n parser.add_argument('-c', '--config', type=str, default='settings/config.yaml', help='path to config file')\n parser.add_argument('-m', '--checkpoint', type=str, default='checkpoints/weights.pth', help='path to weights file')\n parser.add_argument('--no-cuda', action='store_true', help='Compute on CPU')\n parser.add_argument('--no-resize', action='store_true', help='Resize the image beforehand')\n\n parser.add_argument('-s', '--show', action='store_true', help='Show the rendered predicted latex code (cli only)')\n parser.add_argument('-k', '--katex', action='store_true', help='Render the latex code in the browser (cli only)')\n\n parser.add_argument('--gui', action='store_true', help='Use GUI (gui only)')\n\n parser.add_argument('file', nargs='*', type=str, default=None, help='Predict LaTeX code from image file instead of clipboard (cli only)')\n arguments = parser.parse_args()\n\n import os\n import sys\n\n name = os.path.split(sys.argv[0])[-1]\n if arguments.gui or name in ['pix2tex_gui', 'latexocr']:\n from .gui import main\n else:\n from .cli import main\n main(arguments)\n\n\nif __name__ == '__main__':\n main()\n"
},
{
"path": "pix2tex/api/__init__.py",
"content": ""
},
{
"path": "pix2tex/api/app.py",
"content": "# Adapted from https://github.com/kingyiusuen/image-to-latex/blob/main/api/app.py\n\nfrom http import HTTPStatus\nfrom fastapi import FastAPI, File, UploadFile, Form\nfrom PIL import Image\nfrom io import BytesIO\nfrom pix2tex.cli import LatexOCR\n\nmodel = None\napp = FastAPI(title='pix2tex API')\n\n\ndef read_imagefile(file) -> Image.Image:\n image = Image.open(BytesIO(file))\n return image\n\n\n@app.on_event('startup')\nasync def load_model():\n global model\n if model is None:\n model = LatexOCR()\n\n\n@app.get('/')\ndef root():\n '''Health check.'''\n response = {\n 'message': HTTPStatus.OK.phrase,\n 'status-code': HTTPStatus.OK,\n 'data': {},\n }\n return response\n\n\n@app.post('/predict/')\nasync def predict(file: UploadFile = File(...)) -> str:\n \"\"\"Predict the Latex code from an image file.\n\n Args:\n file (UploadFile, optional): Image to predict. Defaults to File(...).\n\n Returns:\n str: Latex prediction\n \"\"\"\n global model\n image = Image.open(file.file)\n return model(image)\n\n\n@app.post('/bytes/')\nasync def predict_from_bytes(file: bytes = File(...)) -> str: # , size: str = Form(...)\n \"\"\"Predict the Latex code from a byte array\n\n Args:\n file (bytes, optional): Image as byte array. Defaults to File(...).\n\n Returns:\n str: Latex prediction\n \"\"\"\n global model\n #size = tuple(int(a) for a in size.split(','))\n image = Image.open(BytesIO(file))\n return model(image, resize=False)\n"
},
{
"path": "pix2tex/api/run.py",
"content": "from multiprocessing import Process\nimport subprocess\nimport os\n\n\ndef start_api(path='.'):\n subprocess.call(['uvicorn', 'app:app', '--port', '8502'], cwd=path)\n\n\ndef start_frontend(path='.'):\n subprocess.call(['streamlit', 'run', 'streamlit.py'], cwd=path)\n\n\nif __name__ == '__main__':\n path = os.path.realpath(os.path.dirname(__file__))\n api = Process(target=start_api, kwargs={'path': path})\n api.start()\n frontend = Process(target=start_frontend, kwargs={'path': path})\n frontend.start()\n api.join()\n frontend.join()\n"
},
{
"path": "pix2tex/api/streamlit.py",
"content": "import requests\nfrom PIL import Image\nimport streamlit as st\nfrom st_img_pastebutton import paste\nfrom io import BytesIO\nimport base64\n\n\ndef encode_image(file):\n _, encoded = file.split(\",\", 1)\n binary_data = base64.b64decode(encoded)\n bytes_data = BytesIO(binary_data)\n return bytes_data\n\n\nif __name__ == \"__main__\":\n st.set_page_config(page_title=\"LaTeX-OCR\")\n st.title(\"LaTeX OCR\")\n st.markdown(\n \"Convert images of equations to corresponding LaTeX code.\\n\\nThis is based on the `pix2tex` module. Check it out [](https://github.com/lukas-blecher/LaTeX-OCR)\"\n )\n\n source = st.radio(\n \"Choose the source of the image\",\n options=[\"Upload\", \"Paste\"],\n )\n\n image = None\n\n if source == \"Upload\":\n uploaded_file = st.file_uploader(\n \"Upload an image of an equation\",\n type=[\"png\", \"jpg\"],\n )\n\n if uploaded_file is not None:\n st.image(Image.open(uploaded_file))\n image = uploaded_file.getvalue()\n\n if source == \"Paste\":\n pasted_file = paste(\"Paste an image of an equation\")\n\n if pasted_file is not None:\n image = encode_image(pasted_file)\n st.image(image)\n\n if st.button(\"Convert\"):\n if image is not None:\n with st.spinner(\"Computing\"):\n response = requests.post(\n \"http://127.0.0.1:8502/predict/\", files={\"file\": image}\n )\n if response.ok:\n latex_code = response.json()\n st.code(latex_code, language=\"latex\")\n st.markdown(f\"$\\\\displaystyle {latex_code}$\")\n else:\n st.error(response.text)\n else:\n st.error(\"No image selected\")\n"
},
{
"path": "pix2tex/cli.py",
"content": "from pix2tex.dataset.transforms import test_transform\nimport pandas.io.clipboard as clipboard\nfrom PIL import ImageGrab\nfrom PIL import Image\nimport os\nfrom pathlib import Path\nimport sys\nfrom typing import List, Optional, Tuple\nimport atexit\nfrom contextlib import suppress\nimport logging\nimport yaml\nimport re\n\nwith suppress(ImportError, AttributeError):\n import readline\n\nimport numpy as np\nimport torch\nfrom torch._appdirs import user_data_dir\nfrom munch import Munch\nfrom transformers import PreTrainedTokenizerFast\nfrom timm.models.resnetv2 import ResNetV2\nfrom timm.models.layers import StdConv2dSame\n\nfrom pix2tex.dataset.latex2png import tex2pil\nfrom pix2tex.models import get_model\nfrom pix2tex.utils import *\nfrom pix2tex.model.checkpoints.get_latest_checkpoint import download_checkpoints\n\n\ndef minmax_size(img: Image, max_dimensions: Tuple[int, int] = None, min_dimensions: Tuple[int, int] = None) -> Image:\n \"\"\"Resize or pad an image to fit into given dimensions\n\n Args:\n img (Image): Image to scale up/down.\n max_dimensions (Tuple[int, int], optional): Maximum dimensions. Defaults to None.\n min_dimensions (Tuple[int, int], optional): Minimum dimensions. Defaults to None.\n\n Returns:\n Image: Image with correct dimensionality\n \"\"\"\n if max_dimensions is not None:\n ratios = [a/b for a, b in zip(img.size, max_dimensions)]\n if any([r > 1 for r in ratios]):\n size = np.array(img.size)//max(ratios)\n img = img.resize(tuple(size.astype(int)), Image.BILINEAR)\n if min_dimensions is not None:\n # hypothesis: there is a dim in img smaller than min_dimensions, and return a proper dim >= min_dimensions\n padded_size = [max(img_dim, min_dim) for img_dim, min_dim in zip(img.size, min_dimensions)]\n if padded_size != list(img.size): # assert hypothesis\n padded_im = Image.new('L', padded_size, 255)\n padded_im.paste(img, img.getbbox())\n img = padded_im\n return img\n\n\nclass LatexOCR:\n '''Get a prediction of an image in the easiest way'''\n\n image_resizer = None\n last_pic = None\n\n @in_model_path()\n def __init__(self, arguments=None):\n \"\"\"Initialize a LatexOCR model\n\n Args:\n arguments (Union[Namespace, Munch], optional): Special model parameters. Defaults to None.\n \"\"\"\n if arguments is None:\n arguments = Munch({'config': 'settings/config.yaml', 'checkpoint': 'checkpoints/weights.pth', 'no_cuda': True, 'no_resize': False})\n logging.getLogger().setLevel(logging.FATAL)\n os.environ['TF_CPP_MIN_LOG_LEVEL'] = '3'\n with open(arguments.config, 'r') as f:\n params = yaml.load(f, Loader=yaml.FullLoader)\n self.args = parse_args(Munch(params))\n self.args.update(**vars(arguments))\n self.args.wandb = False\n self.args.device = 'cuda' if torch.cuda.is_available() and not self.args.no_cuda else 'cpu'\n if not os.path.exists(self.args.checkpoint):\n download_checkpoints()\n self.model = get_model(self.args)\n self.model.load_state_dict(torch.load(self.args.checkpoint, map_location=self.args.device))\n self.model.eval()\n\n if 'image_resizer.pth' in os.listdir(os.path.dirname(self.args.checkpoint)) and not arguments.no_resize:\n self.image_resizer = ResNetV2(layers=[2, 3, 3], num_classes=max(self.args.max_dimensions)//32, global_pool='avg', in_chans=1, drop_rate=.05,\n preact=True, stem_type='same', conv_layer=StdConv2dSame).to(self.args.device)\n self.image_resizer.load_state_dict(torch.load(os.path.join(os.path.dirname(self.args.checkpoint), 'image_resizer.pth'), map_location=self.args.device))\n self.image_resizer.eval()\n self.tokenizer = PreTrainedTokenizerFast(tokenizer_file=self.args.tokenizer)\n\n @in_model_path()\n def __call__(self, img=None, resize=True) -> str:\n \"\"\"Get a prediction from an image\n\n Args:\n img (Image, optional): Image to predict. Defaults to None.\n resize (bool, optional): Whether to call the resize model. Defaults to True.\n\n Returns:\n str: predicted Latex code\n \"\"\"\n if type(img) is bool:\n img = None\n if img is None:\n if self.last_pic is None:\n return ''\n else:\n print('\\nLast image is: ', end='')\n img = self.last_pic.copy()\n else:\n self.last_pic = img.copy()\n img = minmax_size(pad(img), self.args.max_dimensions, self.args.min_dimensions)\n if (self.image_resizer is not None and not self.args.no_resize) and resize:\n with torch.no_grad():\n input_image = img.convert('RGB').copy()\n r, w, h = 1, input_image.size[0], input_image.size[1]\n for _ in range(10):\n h = int(h * r) # height to resize\n img = pad(minmax_size(input_image.resize((w, h), Image.Resampling.BILINEAR if r > 1 else Image.Resampling.LANCZOS), self.args.max_dimensions, self.args.min_dimensions))\n t = test_transform(image=np.array(img.convert('RGB')))['image'][:1].unsqueeze(0)\n w = (self.image_resizer(t.to(self.args.device)).argmax(-1).item()+1)*32\n logging.info(r, img.size, (w, int(input_image.size[1]*r)))\n if (w == img.size[0]):\n break\n r = w/img.size[0]\n else:\n img = np.array(pad(img).convert('RGB'))\n t = test_transform(image=img)['image'][:1].unsqueeze(0)\n im = t.to(self.args.device)\n\n dec = self.model.generate(im.to(self.args.device), temperature=self.args.get('temperature', .25))\n pred = post_process(token2str(dec, self.tokenizer)[0])\n try:\n clipboard.copy(pred)\n except:\n pass\n return pred\n\n\ndef output_prediction(pred, args):\n TERM = os.getenv('TERM', 'xterm')\n if not sys.stdout.isatty():\n TERM = 'dumb'\n try:\n from pygments import highlight\n from pygments.lexers import get_lexer_by_name\n from pygments.formatters import get_formatter_by_name\n\n if TERM.split('-')[-1] == '256color':\n formatter_name = 'terminal256'\n elif TERM != 'dumb':\n formatter_name = 'terminal'\n else:\n formatter_name = None\n if formatter_name:\n formatter = get_formatter_by_name(formatter_name)\n lexer = get_lexer_by_name('tex')\n print(highlight(pred, lexer, formatter), end='')\n except ImportError:\n TERM = 'dumb'\n if TERM == 'dumb':\n print(pred)\n if args.show or args.katex:\n try:\n if args.katex:\n raise ValueError\n tex2pil([f'$${pred}$$'])[0].show()\n except Exception as e:\n # render using katex\n import webbrowser\n from urllib.parse import quote\n url = 'https://katex.org/?data=' + \\\n quote('{\"displayMode\":true,\"leqno\":false,\"fleqn\":false,\"throwOnError\":true,\"errorColor\":\"#cc0000\",\\\n\"strict\":\"warn\",\"output\":\"htmlAndMathml\",\"trust\":false,\"code\":\"%s\"}' % pred.replace('\\\\', '\\\\\\\\'))\n webbrowser.open(url)\n\n\ndef predict(model, file, arguments):\n img = None\n if file:\n try:\n img = Image.open(os.path.expanduser(file))\n except Exception as e:\n print(e, end='')\n else:\n try:\n img = ImageGrab.grabclipboard()\n except NotImplementedError as e:\n print(e, end='')\n pred = model(img)\n output_prediction(pred, arguments)\n\ndef check_file_path(paths:List[Path], wdir:Optional[Path]=None)->List[str]:\n files = []\n for path in paths:\n if type(path)==str:\n if path=='':\n continue\n path=Path(path)\n pathsi = ([path] if wdir is None else [path, wdir/path])\n for p in pathsi:\n if p.exists():\n files.append(str(p.resolve()))\n elif '*' in path.name:\n files.extend([str(pi.resolve()) for pi in p.parent.glob(p.name)])\n return list(set(files))\n\ndef main(arguments):\n path = user_data_dir('pix2tex')\n os.makedirs(path, exist_ok=True)\n history_file = os.path.join(path, 'history.txt')\n with suppress(NameError):\n # user can `ln -s /dev/null ~/.local/share/pix2tex/history.txt` to\n # disable history record\n with suppress(OSError):\n readline.read_history_file(history_file)\n atexit.register(readline.write_history_file, history_file)\n files = check_file_path(arguments.file)\n wdir = Path(os.getcwd())\n with in_model_path():\n model = LatexOCR(arguments)\n if files:\n for file in check_file_path(arguments.file, wdir):\n print(file + ': ', end='')\n predict(model, file, arguments)\n model.last_pic = None\n with suppress(NameError):\n readline.add_history(file)\n exit()\n pat = re.compile(r't=([\\.\\d]+)')\n while True:\n try:\n instructions = input('Predict LaTeX code for image (\"h\" for help). ')\n except KeyboardInterrupt:\n # TODO: make the last line gray\n print(\"\")\n continue\n except EOFError:\n break\n file = instructions.strip()\n ins = file.lower()\n t = pat.match(ins)\n if ins == 'x':\n break\n elif ins in ['?', 'h', 'help']:\n print('''pix2tex help:\n\n Usage:\n On Windows and macOS you can copy the image into memory and just press ENTER to get a prediction.\n Alternatively you can paste the image file path here and submit.\n\n You might get a different prediction every time you submit the same image. If the result you got was close you\n can just predict the same image by pressing ENTER again. If that still does not work you can change the temperature\n or you have to take another picture with another resolution (e.g. zoom out and take a screenshot with lower resolution). \n\n Press \"x\" to close the program.\n You can interrupt the model if it takes too long by pressing Ctrl+C.\n\n Visualization:\n You can either render the code into a png using XeLaTeX (see README) to get an image file back.\n This is slow and requires a working installation of XeLaTeX. To activate type 'show' or set the flag --show\n Alternatively you can render the expression in the browser using katex.org. Type 'katex' or set --katex\n\n Settings:\n to toggle one of these settings: 'show', 'katex', 'no_resize' just type it into the console\n Change the temperature (default=0.333) type: \"t=0.XX\" to set a new temperature.\n ''')\n continue\n elif ins in ['show', 'katex', 'no_resize']:\n setattr(arguments, ins, not getattr(arguments, ins, False))\n print('set %s to %s' % (ins, getattr(arguments, ins)))\n continue\n elif t is not None:\n t = t.groups()[0]\n model.args.temperature = float(t)+1e-8\n print('new temperature: T=%.3f' % model.args.temperature)\n continue\n files = check_file_path(file.split(' '), wdir)\n with suppress(KeyboardInterrupt):\n if files:\n for file in files:\n if len(files)>1:\n print(file + ': ', end='')\n predict(model, file, arguments)\n else:\n predict(model, file, arguments)\n file = None\n"
},
{
"path": "pix2tex/dataset/__init__.py",
"content": ""
},
{
"path": "pix2tex/dataset/arxiv.py",
"content": "# modified from https://github.com/soskek/arxiv_leaks\n\nimport argparse\nimport subprocess\nimport os\nimport glob\nimport re\nimport sys\nimport argparse\nimport logging\nimport tarfile\nimport tempfile\nimport logging\nimport requests\nimport urllib.request\nfrom tqdm import tqdm\nfrom urllib.error import HTTPError\nfrom pix2tex.dataset.extract_latex import find_math\nfrom pix2tex.dataset.scraping import recursive_search\nfrom pix2tex.dataset.demacro import *\n\n# logging.getLogger().setLevel(logging.INFO)\narxiv_id = re.compile(r'(?str:\n \"\"\"Read all tex files in the latex source at `file_path`. If it is not a `tar.gz` file try to read it as text file.\n\n Args:\n file_path (str): Path to latex source\n demacro (bool, optional): Deprecated. Call external `de-macro` program. Defaults to False.\n\n Returns:\n str: All Latex files concatenated into one string.\n \"\"\" \n tex = ''\n try:\n with tempfile.TemporaryDirectory() as tempdir:\n try:\n tf = tarfile.open(file_path, 'r')\n tf.extractall(tempdir)\n tf.close()\n texfiles = [os.path.abspath(x) for x in glob.glob(os.path.join(tempdir, '**', '*.tex'), recursive=True)]\n except tarfile.ReadError as e:\n texfiles = [file_path] # [os.path.join(tempdir, file_path+'.tex')]\n if demacro:\n ret = subprocess.run(['de-macro', *texfiles], cwd=tempdir, capture_output=True)\n if ret.returncode == 0:\n texfiles = glob.glob(os.path.join(tempdir, '**', '*-clean.tex'), recursive=True)\n for texfile in texfiles:\n try:\n ct = open(texfile, 'r', encoding='utf-8').read()\n tex += ct\n except UnicodeDecodeError as e:\n logging.debug(e)\n pass\n except Exception as e:\n logging.debug('Could not read %s: %s' % (file_path, str(e)))\n raise e\n tex = pydemacro(tex)\n return tex\n\n\ndef download_paper(arxiv_id, dir_path='./'):\n url = arxiv_base + arxiv_id\n return download(url, dir_path)\n\n\ndef read_paper(targz_path, delete=False, demacro=False):\n paper = ''\n if targz_path != 0:\n paper = read_tex_files(targz_path, demacro=demacro)\n if delete:\n os.remove(targz_path)\n return paper\n\n\ndef parse_arxiv(id, save=None, demacro=True):\n if save is None:\n dir = tempfile.gettempdir()\n else:\n dir = save\n text = read_paper(download_paper(id, dir), delete=save is None, demacro=demacro)\n\n return find_math(text, wiki=False), []\n\n\nif __name__ == '__main__':\n # logging.getLogger().setLevel(logging.DEBUG)\n parser = argparse.ArgumentParser(description='Extract math from arxiv')\n parser.add_argument('-m', '--mode', default='top100', choices=['top', 'ids', 'dirs'],\n help='Where to extract code from. top: current 100 arxiv papers (-m top int for any other number of papers), id: specific arxiv ids. \\\n Usage: `python arxiv.py -m ids id001 [id002 ...]`, dirs: a folder full of .tar.gz files. Usage: `python arxiv.py -m dirs directory [dir2 ...]`')\n parser.add_argument(nargs='*', dest='args', default=[])\n parser.add_argument('-o', '--out', default=os.path.join(os.path.dirname(os.path.realpath(__file__)), 'data'), help='output directory')\n parser.add_argument('-d', '--demacro', dest='demacro', action='store_true',\n help='Deprecated - Use de-macro (Slows down extraction, may but improves quality). Install https://www.ctan.org/pkg/de-macro')\n parser.add_argument('-s', '--save', default=None, type=str, help='When downloading files from arxiv. Where to save the .tar.gz files. Default: Only temporary')\n args = parser.parse_args()\n if '.' in args.out:\n args.out = os.path.dirname(args.out)\n skips = os.path.join(args.out, 'visited_arxiv.txt')\n if os.path.exists(skips):\n skip = open(skips, 'r', encoding='utf-8').read().split('\\n')\n else:\n skip = []\n if args.save is not None:\n os.makedirs(args.save, exist_ok=True)\n try:\n if args.mode == 'ids':\n visited, math = recursive_search(parse_arxiv, args.args, skip=skip, unit='paper', save=args.save, demacro=args.demacro)\n elif args.mode == 'top':\n num = 100 if len(args.args) == 0 else int(args.args[0])\n url = 'https://arxiv.org/list/physics/pastweek?skip=0&show=%i' % num # 'https://arxiv.org/list/hep-th/2203?skip=0&show=100'\n ids = get_all_arxiv_ids(requests.get(url).text)\n math, visited = [], ids\n for id in tqdm(ids):\n try:\n m, _ = parse_arxiv(id, save=args.save, demacro=args.demacro)\n math.extend(m)\n except ValueError:\n pass\n elif args.mode == 'dirs':\n files = []\n for folder in args.args:\n files.extend([os.path.join(folder, p) for p in os.listdir(folder)])\n math, visited = [], []\n for f in tqdm(files):\n try:\n text = read_paper(f, delete=False, demacro=args.demacro)\n math.extend(find_math(text, wiki=False))\n visited.append(os.path.basename(f))\n except DemacroError as e:\n logging.debug(f + str(e))\n pass\n except KeyboardInterrupt:\n break\n except Exception as e:\n logging.debug(e)\n raise e\n else:\n raise NotImplementedError\n except KeyboardInterrupt:\n pass\n print('Found %i instances of math latex code' % len(math))\n # print('\\n'.join(math))\n # sys.exit(0)\n for l, name in zip([visited, math], ['visited_arxiv.txt', 'math_arxiv.txt']):\n f = os.path.join(args.out, name)\n if not os.path.exists(f):\n open(f, 'w').write('')\n f = open(f, 'a', encoding='utf-8')\n for element in l:\n f.write(element)\n f.write('\\n')\n f.close()\n"
},
{
"path": "pix2tex/dataset/data/.gitkeep",
"content": ""
},
{
"path": "pix2tex/dataset/dataset.py",
"content": "import torch\nimport torch.nn.functional as F\nfrom torch.nn.utils.rnn import pad_sequence\nimport numpy as np\nimport imagesize\nimport logging\nimport glob\nimport os\nfrom os.path import join\nfrom collections import defaultdict\nimport pickle\nimport cv2\nfrom transformers import PreTrainedTokenizerFast\nfrom tqdm.auto import tqdm\n\nfrom pix2tex.utils.utils import in_model_path\nfrom pix2tex.dataset.transforms import train_transform, test_transform\n\n\n\nclass Im2LatexDataset:\n keep_smaller_batches = False\n shuffle = True\n batchsize = 16\n max_dimensions = (1024, 512)\n min_dimensions = (32, 32)\n max_seq_len = 1024\n pad_token = \"[PAD]\"\n bos_token = \"[BOS]\"\n eos_token = \"[EOS]\"\n pad_token_id = 0\n bos_token_id = 1\n eos_token_id = 2\n transform = train_transform\n data = defaultdict(lambda: [])\n\n def __init__(self, equations=None, images=None, tokenizer=None, shuffle=True, batchsize=16, max_seq_len=1024,\n max_dimensions=(1024, 512), min_dimensions=(32, 32), pad=False, keep_smaller_batches=False, test=False):\n \"\"\"Generates a torch dataset from pairs of `equations` and `images`.\n\n Args:\n equations (str, optional): Path to equations. Defaults to None.\n images (str, optional): Directory where images are saved. Defaults to None.\n tokenizer (str, optional): Path to saved tokenizer. Defaults to None.\n shuffle (bool, opitonal): Defaults to True. \n batchsize (int, optional): Defaults to 16.\n max_seq_len (int, optional): Defaults to 1024.\n max_dimensions (tuple(int, int), optional): Maximal dimensions the model can handle\n min_dimensions (tuple(int, int), optional): Minimal dimensions the model can handle\n pad (bool): Pad the images to `max_dimensions`. Defaults to False.\n keep_smaller_batches (bool): Whether to also return batches with smaller size than `batchsize`. Defaults to False.\n test (bool): Whether to use the test transformation or not. Defaults to False.\n \"\"\"\n\n if images is not None and equations is not None:\n assert tokenizer is not None\n self.images = [path.replace('\\\\', '/') for path in glob.glob(join(images, '*.png'))]\n self.sample_size = len(self.images)\n eqs = open(equations, 'r').read().split('\\n')\n self.indices = [int(os.path.basename(img).split('.')[0]) for img in self.images]\n self.tokenizer = PreTrainedTokenizerFast(tokenizer_file=tokenizer)\n self.shuffle = shuffle\n self.batchsize = batchsize\n self.max_seq_len = max_seq_len\n self.max_dimensions = max_dimensions\n self.min_dimensions = min_dimensions\n self.pad = pad\n self.keep_smaller_batches = keep_smaller_batches\n self.test = test\n # check the image dimension for every image and group them together\n try:\n for i, im in tqdm(enumerate(self.images), total=len(self.images)):\n width, height = imagesize.get(im)\n if min_dimensions[0] <= width <= max_dimensions[0] and min_dimensions[1] <= height <= max_dimensions[1]:\n self.data[(width, height)].append((eqs[self.indices[i]], im))\n except KeyboardInterrupt:\n pass\n self.data = dict(self.data)\n self._get_size()\n\n iter(self)\n\n def __len__(self):\n return self.size\n\n def __iter__(self):\n self.i = 0\n self.transform = test_transform if self.test else train_transform\n self.pairs = []\n for k in self.data:\n info = np.array(self.data[k], dtype=object)\n p = torch.randperm(len(info)) if self.shuffle else torch.arange(len(info))\n for i in range(0, len(info), self.batchsize):\n batch = info[p[i:i+self.batchsize]]\n if len(batch.shape) == 1:\n batch = batch[None, :]\n if len(batch) < self.batchsize and not self.keep_smaller_batches:\n continue\n self.pairs.append(batch)\n if self.shuffle:\n self.pairs = np.random.permutation(np.array(self.pairs, dtype=object))\n else:\n self.pairs = np.array(self.pairs, dtype=object)\n self.size = len(self.pairs)\n return self\n\n def __next__(self):\n if self.i >= self.size:\n raise StopIteration\n self.i += 1\n return self.prepare_data(self.pairs[self.i-1])\n\n def prepare_data(self, batch):\n \"\"\"loads images into memory\n\n Args:\n batch (numpy.array[[str, str]]): array of equations and image path pairs\n\n Returns:\n tuple(torch.tensor, torch.tensor): data in memory\n \"\"\"\n\n eqs, ims = batch.T\n tok = self.tokenizer(list(eqs), return_token_type_ids=False)\n # pad with bos and eos token\n for k, p in zip(tok, [[self.bos_token_id, self.eos_token_id], [1, 1]]):\n tok[k] = pad_sequence([torch.LongTensor([p[0]]+x+[p[1]]) for x in tok[k]], batch_first=True, padding_value=self.pad_token_id)\n # check if sequence length is too long\n if self.max_seq_len < tok['attention_mask'].shape[1]:\n return next(self)\n images = []\n for path in list(ims):\n im = cv2.imread(path)\n if im is None:\n print(path, 'not found!')\n continue\n im = cv2.cvtColor(im, cv2.COLOR_BGR2RGB)\n if not self.test:\n # sometimes convert to bitmask\n if np.random.random() < .04:\n im[im != 255] = 0\n images.append(self.transform(image=im)['image'][:1])\n try:\n images = torch.cat(images).float().unsqueeze(1)\n except RuntimeError:\n logging.critical('Images not working: %s' % (' '.join(list(ims))))\n return None, None\n if self.pad:\n h, w = images.shape[2:]\n images = F.pad(images, (0, self.max_dimensions[0]-w, 0, self.max_dimensions[1]-h), value=1)\n return tok, images\n\n def _get_size(self):\n self.size = 0\n for k in self.data:\n div, mod = divmod(len(self.data[k]), self.batchsize)\n self.size += div # + (1 if mod > 0 else 0)\n\n def load(self, filename, args=[]):\n \"\"\"returns a pickled version of a dataset\n\n Args:\n filename (str): Path to dataset\n \"\"\"\n if not os.path.exists(filename):\n with in_model_path():\n tempf = os.path.join('..', filename)\n if os.path.exists(tempf):\n filename = os.path.realpath(tempf)\n with open(filename, 'rb') as file:\n x = pickle.load(file)\n return x\n\n def combine(self, x):\n \"\"\"Combine Im2LatexDataset with another Im2LatexDataset\n\n Args:\n x (Im2LatexDataset): Dataset to absorb\n \"\"\"\n for key in x.data.keys():\n if key in self.data.keys():\n self.data[key].extend(x.data[key])\n self.data[key] = list(set(self.data[key]))\n else:\n self.data[key] = x.data[key]\n self._get_size()\n iter(self)\n\n def save(self, filename):\n \"\"\"save a pickled version of a dataset\n\n Args:\n filename (str): Path to dataset\n \"\"\"\n with open(filename, 'wb') as file:\n pickle.dump(self, file)\n\n def update(self, **kwargs):\n for k in ['batchsize', 'shuffle', 'pad', 'keep_smaller_batches', 'test', 'max_seq_len']:\n if k in kwargs:\n setattr(self, k, kwargs[k])\n if 'max_dimensions' in kwargs or 'min_dimensions' in kwargs:\n if 'max_dimensions' in kwargs:\n self.max_dimensions = kwargs['max_dimensions']\n if 'min_dimensions' in kwargs:\n self.min_dimensions = kwargs['min_dimensions']\n temp = {}\n for k in self.data:\n if self.min_dimensions[0] <= k[0] <= self.max_dimensions[0] and self.min_dimensions[1] <= k[1] <= self.max_dimensions[1]:\n temp[k] = self.data[k]\n self.data = temp\n if 'tokenizer' in kwargs:\n tokenizer_file = kwargs['tokenizer']\n if not os.path.exists(tokenizer_file):\n with in_model_path():\n tokenizer_file = os.path.realpath(tokenizer_file)\n self.tokenizer = PreTrainedTokenizerFast(tokenizer_file=tokenizer_file)\n self._get_size()\n iter(self)\n\n\ndef generate_tokenizer(equations, output, vocab_size):\n from tokenizers import Tokenizer, pre_tokenizers\n from tokenizers.models import BPE\n from tokenizers.trainers import BpeTrainer\n tokenizer = Tokenizer(BPE())\n tokenizer.pre_tokenizer = pre_tokenizers.ByteLevel(add_prefix_space=False)\n trainer = BpeTrainer(special_tokens=[\"[PAD]\", \"[BOS]\", \"[EOS]\"], vocab_size=vocab_size, show_progress=True)\n tokenizer.train(equations, trainer)\n tokenizer.save(path=output, pretty=False)\n\n\nif __name__ == '__main__':\n import argparse\n parser = argparse.ArgumentParser(description='Train model', add_help=False)\n parser.add_argument('-i', '--images', type=str, nargs='+', default=None, help='Image folders')\n parser.add_argument('-e', '--equations', type=str, nargs='+', default=None, help='equations text files')\n parser.add_argument('-t', '--tokenizer', default=None, help='Pretrained tokenizer file')\n parser.add_argument('-o', '--out', type=str, required=True, help='output file')\n parser.add_argument('-s', '--vocab-size', default=8000, type=int, help='vocabulary size when training a tokenizer')\n args = parser.parse_args()\n if args.tokenizer is None:\n with in_model_path():\n args.tokenizer = os.path.realpath(os.path.join('dataset', 'tokenizer.json'))\n if args.images is None and args.equations is not None:\n print('Generate tokenizer')\n generate_tokenizer(args.equations, args.out, args.vocab_size)\n elif args.images is not None and args.equations is not None:\n print('Generate dataset')\n dataset = None\n for images, equations in zip(args.images, args.equations):\n if dataset is None:\n dataset = Im2LatexDataset(equations, images, args.tokenizer)\n else:\n dataset.combine(Im2LatexDataset(equations, images, args.tokenizer))\n dataset.update(batchsize=1, keep_smaller_batches=True)\n dataset.save(args.out)\n else:\n print('Not defined')\n"
},
{
"path": "pix2tex/dataset/demacro-test.py",
"content": "import unittest\nimport re\nfrom pix2tex.dataset.demacro import pydemacro\n\n\ndef norm(s):\n s = re.sub(r'\\n+', '\\n', s)\n s = re.sub(r'\\s+', ' ', s)\n return s.strip()\n\n\ndef f(s):\n return norm(pydemacro(s))\n\n\nclass TestDemacroCases(unittest.TestCase):\n def test_noargs(self):\n inp = r'''\n \\newcommand*{\\noargs}{sample text}\n \\noargs[a]\\noargs{b}\\noargs\n '''\n expected = r'''sample text[a]sample text{b}sample text'''\n self.assertEqual(f(inp), norm(expected))\n\n def test_optional_arg(self):\n inp = r'''\n \\newcommand{\\example}[2][YYY]{Mandatory arg: #2; Optional arg: #1.} \n \\example{BBB}\n \\example[XXX]{AAA}\n '''\n expected = r'''\n Mandatory arg: BBB; Optional arg: YYY.\n Mandatory arg: AAA; Optional arg: XXX.\n '''\n self.assertEqual(f(inp), norm(expected))\n\n def test_optional_arg_and_positional_args(self):\n inp = r'''\n \\newcommand{\\plusbinomial}[3][2]{(#2 + #3)^{#1}}\n \\plusbinomial[4]{y}{x}\n '''\n expected = r'''(y + x)^{4}'''\n self.assertEqual(f(inp), norm(expected))\n\n def test_alt_definition1(self):\n inp = r'''\n \\newcommand\\d{replacement}\n \\d\n '''\n expected = r'''replacement'''\n self.assertEqual(f(inp), norm(expected))\n\n def test_arg_with_bs_and_cb(self):\n # def 1 argument and with backslash (bs) and cruly brackets (cb) in definition\n inp = r'''\n \\newcommand{\\eq}[1]{\\begin{equation}#1\\end{equation}}\n \\eq{\\sqrt{2}\\approx1.4}\n \\eq[unexpected argument]{\\sqrt{2}\\approx1.4}\n '''\n expected = r'''\n \\begin{equation}\\sqrt{2}\\approx1.4\\end{equation}\n \\begin{equation}\\sqrt{2}\\approx1.4\\end{equation}\n '''\n self.assertEqual(f(inp), norm(expected))\n\n def test_multiline_definition(self):\n inp = r'''\n \\newcommand{\\multiline}[2]{%\n Arg 1: \\bf{#1}\n Arg 2: #2\n }\n \\multiline{1}{two}\n '''\n expected = r'''\n Arg 1: \\bf{1}\n Arg 2: two\n '''\n self.assertEqual(f(inp), norm(expected))\n\n def test_multiline_definition_alt1(self):\n inp = r'''\n \\newcommand{\\identity}[1]\n {#1}\n \\identity{x}\n '''\n expected = 'x'\n self.assertEqual(f(inp), norm(expected))\n\n def test_multiline_definition_alt2(self):\n inp = r'''\n \\newcommand\n {\\identity}[1]{#1}\n \\identity{x}\n '''\n expected = 'x'\n self.assertEqual(f(inp), norm(expected))\n\n def test_multiline_definition_alt3(self):\n inp = r'''\n \\newcommand\n {\\identity}[1]\n {#1}\n \\identity{x}\n '''\n expected = 'x'\n self.assertEqual(f(inp), norm(expected))\n\n def test_multiline_definition_alt4(self):\n inp = r'''\n \\newcommand\n {\\identity}\n [1]\n {#1}\n \\identity{x}\n '''\n expected = 'x'\n self.assertEqual(f(inp), norm(expected))\n\n def test_nested_definition(self):\n inp = r'''\n \\newcommand{\\cmd}[1]{command #1}\n \\newcommand{\\nested}[2]{\\cmd{#1} \\cmd{#2}}\n \\nested{\\alpha}{\\beta}\n '''\n expected = r'''\n command \\alpha command \\beta\n '''\n self.assertEqual(f(inp), norm(expected))\n\n def test_def(self):\n # check if \\def is handled correctly.\n inp = r'''\n \\def\\defcheck#1#2{Defcheck arg1: #1 arg2: #2}\n \\defcheck{1}{two}\n '''\n expected = r'''\n Defcheck arg1: 1 arg2: two\n '''\n self.assertEqual(f(inp), norm(expected))\n\n def test_multi_def_lines_alt0(self):\n inp = r'''\\def\\be{\\begin{equation}} \\def\\ee{\\end{equation}} %some comment\n \\be\n 1+1=2\n \\ee'''\n expected = r'''\n \\begin{equation}\n 1+1=2\n \\end{equation}\n '''\n self.assertEqual(f(inp), norm(expected))\n\n def test_multi_def_lines_alt1(self):\n inp = r'''\\def\\be{\\begin{equation}}\\def\\ee{\\end{equation}}\n \\be\n 1+1=2\n \\ee'''\n expected = r'''\n \\begin{equation}\n 1+1=2\n \\end{equation}\n '''\n self.assertEqual(f(inp), norm(expected))\n\n def test_multi_def_lines_alt2(self):\n inp = r'''\\def\n \\be{\\begin{equation}}\n \\def\\ee\n {\\end{equation}}\n \\be\n 1+1=2\n \\ee'''\n expected = r'''\n \\begin{equation}\n 1+1=2\n \\end{equation}\n '''\n self.assertEqual(f(inp), norm(expected))\n\n def test_multi_def_lines_alt3(self):\n inp = r'''\n \\def\\be\n {\n \\begin{equation}\n }\n \\def\n \\ee\n {\\end{equation}}\n \\be\n 1+1=2\n \\ee'''\n expected = r'''\n \\begin{equation}\n 1+1=2\n \\end{equation}\n '''\n self.assertEqual(f(inp), norm(expected))\n\n def test_let_alt0(self):\n inp = r'''\\let\\a\\alpha\\let\\b=\\beta\n \\a \\b'''\n expected = r'''\\alpha \\beta'''\n self.assertEqual(f(inp), norm(expected))\n\n def test_let_alt1(self):\n inp = r'''\\let\\a\\alpha \\let\\b=\\beta\n \\a \\b'''\n expected = r'''\\alpha \\beta'''\n self.assertEqual(f(inp), norm(expected))\n\n def test_let_alt2(self):\n inp = r'''\\let\\a\\alpha \\let\\b=\\beta\n \\a \\b'''\n expected = r'''\\alpha \\beta'''\n self.assertEqual(f(inp), norm(expected))\n\n def test_let_alt3(self):\n inp = r'''\n \\let\n \\a\n \\alpha\n \\let\\b=\n \\beta\n \\a \\b'''\n expected = r'''\\alpha \\beta'''\n self.assertEqual(f(inp), norm(expected))\n\n\nif __name__ == '__main__':\n unittest.main()\n"
},
{
"path": "pix2tex/dataset/demacro.py",
"content": "# modified from https://tex.stackexchange.com/a/521639\n\nimport argparse\nimport re\nimport logging\nfrom collections import Counter\nimport time\nfrom pix2tex.dataset.extract_latex import remove_labels\n\n\nclass DemacroError(Exception):\n pass\n\n\ndef main():\n args = parse_command_line()\n data = read(args.input)\n data = pydemacro(data)\n if args.output is not None:\n write(args.output, data)\n else:\n print(data)\n\n\ndef parse_command_line():\n parser = argparse.ArgumentParser(description='Replace \\\\def with \\\\newcommand where possible.')\n parser.add_argument('input', help='TeX input file with \\\\def')\n parser.add_argument('--output', '-o', default=None, help='TeX output file with \\\\newcommand')\n return parser.parse_args()\n\n\ndef read(path):\n with open(path, mode='r') as handle:\n return handle.read()\n\n\ndef bracket_replace(string: str) -> str:\n '''\n replaces all layered brackets with special symbols\n '''\n layer = 0\n out = list(string)\n for i, c in enumerate(out):\n if c == '{':\n if layer > 0:\n out[i] = 'Ḋ'\n layer += 1\n elif c == '}':\n layer -= 1\n if layer > 0:\n out[i] = 'Ḍ'\n return ''.join(out)\n\n\ndef undo_bracket_replace(string):\n return string.replace('Ḋ', '{').replace('Ḍ', '}')\n\n\ndef sweep(t, cmds):\n num_matches = 0\n for c in cmds:\n nargs = int(c[1][1]) if c[1] != r'' else 0\n optional = c[2] != r''\n if nargs == 0:\n num_matches += len(re.findall(r'\\\\%s([\\W_^\\dĊ])' % c[0], t))\n if num_matches > 0:\n t = re.sub(r'\\\\%s([\\W_^\\dĊ])' % c[0], r'%s\\1' % c[-1].replace('\\\\', r'\\\\'), t)\n else:\n matches = re.findall(r'(\\\\%s(?:\\[(.+?)\\])?' % c[0]+r'{(.+?)}'*(nargs-(1 if optional else 0))+r')', t)\n num_matches += len(matches)\n for i, m in enumerate(matches):\n r = c[-1]\n if m[1] == r'':\n matches[i] = (m[0], c[2][1:-1], *m[2:])\n for j in range(1, nargs+1):\n r = r.replace(r'#%i' % j, matches[i][j+int(not optional)])\n t = t.replace(matches[i][0], r)\n return t, num_matches\n\n\ndef unfold(t):\n #t = queue.get()\n t = t.replace('\\n', 'Ċ')\n t = bracket_replace(t)\n commands_pattern = r'\\\\(?:re)?newcommand\\*?{\\\\(.+?)}[\\sĊ]*(\\[\\d\\])?[\\sĊ]*(\\[.+?\\])?[\\sĊ]*{(.*?)}'\n cmds = re.findall(commands_pattern, t)\n t = re.sub(r'(? 1:\n # something went wrong here. No multiple definitions allowed\n del cmds[i]\n elif '\\\\newcommand' in cmds[i][-1]:\n logging.debug(\"Command recognition pattern didn't work properly. %s\" % (undo_bracket_replace(cmds[i][-1])))\n del cmds[i]\n start = time.time()\n try:\n for i in range(10):\n # check for up to 10 nested commands\n if i > 0:\n t = bracket_replace(t)\n t, N = sweep(t, cmds)\n if time.time()-start > 5: # not optimal. more sophisticated methods didnt work or are slow\n raise TimeoutError\n t = undo_bracket_replace(t)\n if N == 0 or i == 9:\n #print(\"Needed %i iterations to demacro\" % (i+1))\n break\n elif N > 4000:\n raise ValueError(\"Too many matches. Processing would take too long.\")\n except ValueError:\n pass\n except TimeoutError:\n pass\n except re.error as e:\n raise DemacroError(e)\n t = remove_labels(t.replace('Ċ', '\\n'))\n # queue.put(t)\n return t\n\n\ndef pydemacro(t: str) -> str:\n r\"\"\"Replaces all occurences of newly defined Latex commands in a document.\n Can replace `\\newcommand`, `\\def` and `\\let` definitions in the code.\n\n Args:\n t (str): Latex document\n\n Returns:\n str: Document without custom commands\n \"\"\"\n return unfold(convert(re.sub('\\n+', '\\n', re.sub(r'(? File written: {0}'.format(path))\n\n\nif __name__ == '__main__':\n main()\n"
},
{
"path": "pix2tex/dataset/extract_latex.py",
"content": "import argparse\nimport html\nimport os\nimport re\nimport numpy as np\nfrom typing import List\n\nMIN_CHARS = 1\nMAX_CHARS = 3000\ndollar = re.compile(r'((? 0 and s[i-1] == '\\\\': # not perfect\n continue\n else:\n a.append(1)\n if i == 0:\n surrounding = True\n elif c == '}':\n if i > 0 and s[i-1] == '\\\\':\n continue\n else:\n a.append(-1)\n b = np.cumsum(a)\n if len(b) > 1 and b[-1] != 0:\n raise ValueError(s)\n surrounding = s[-1] == '}' and surrounding\n if not surrounding:\n return s\n elif (b == 0).sum() == 1:\n return s[1:-1]\n else:\n return s\n\n\ndef remove_labels(string):\n for s in label_names:\n string = re.sub(s, '', string)\n return string\n\n\ndef clean_matches(matches, min_chars=MIN_CHARS):\n faulty = []\n for i in range(len(matches)):\n if 'tikz' in matches[i]: # do not support tikz at the moment\n faulty.append(i)\n continue\n matches[i] = remove_labels(matches[i])\n matches[i] = matches[i].replace('\\n', '').replace(r'\\notag', '').replace(r'\\nonumber', '')\n matches[i] = re.sub(outer_whitespace, '', matches[i])\n if len(matches[i]) < min_chars:\n faulty.append(i)\n continue\n # try:\n # matches[i] = check_brackets(matches[i])\n # except ValueError:\n # faulty.append(i)\n if matches[i][-1] == '\\\\' or 'newcommand' in matches[i][-1]:\n faulty.append(i)\n\n matches = [m.strip() for i, m in enumerate(matches) if i not in faulty]\n return list(set(matches))\n\n\ndef find_math(s: str, wiki=False) -> List[str]:\n r\"\"\"Find all occurences of math in a Latex-like document. \n\n Args:\n s (str): String to search\n wiki (bool, optional): Search for `\\displaystyle` as it can be found in the wikipedia page source code. Defaults to False.\n\n Returns:\n List[str]: List of all found mathematical expressions\n \"\"\"\n matches = []\n x = re.findall(inline, s)\n matches.extend([(g[1] if g[1] != '' else g[-1]) for g in x])\n if not wiki:\n patterns = [dollar, equation, align]\n groups = [1, 1, 0]\n else:\n patterns = [displaymath]\n groups = [0]\n for i, pattern in zip(groups, patterns):\n x = re.findall(pattern, s)\n matches.extend([g[i] for g in x])\n\n return clean_matches(matches)\n\nif __name__ == '__main__':\n parser = argparse.ArgumentParser()\n parser.add_argument(dest='file', type=str, help='file to find equations in')\n parser.add_argument('--out','-o', type=str, default=None, help='file to save equations to. If none provided, print all equations.')\n parser.add_argument('--wiki', action='store_true', help='only look for math starting with \\\\displaystyle')\n parser.add_argument('--unescape', action='store_true', help='call `html.unescape` on input')\n args = parser.parse_args()\n\n if not os.path.exists(args.file):\n raise ValueError('File can not be found. %s' % args.file)\n\n from pix2tex.dataset.demacro import pydemacro\n s = pydemacro(open(args.file, 'r', encoding='utf-8').read())\n if args.unescape:\n s = html.unescape(s)\n math = '\\n'.join(sorted(find_math(s, args.wiki)))\n if args.out is None:\n print(math)\n else:\n with open(args.out, 'w') as f:\n f.write(math)\n "
},
{
"path": "pix2tex/dataset/latex2png.py",
"content": "# mostly taken from http://code.google.com/p/latexmath2png/\n# install preview.sty\nimport os\nimport re\nimport sys\nimport io\nimport glob\nimport tempfile\nimport shlex\nimport subprocess\nimport traceback\nfrom PIL import Image\n\n\nclass Latex:\n BASE = r'''\n\\documentclass[varwidth]{standalone}\n\\usepackage{fontspec,unicode-math}\n\\usepackage[active,tightpage,displaymath,textmath]{preview}\n\\setmathfont{%s}\n\\begin{document}\n\\thispagestyle{empty}\n%s\n\\end{document}\n'''\n\n def __init__(self, math, dpi=250, font='Latin Modern Math'):\n '''takes list of math code. `returns each element as PNG with DPI=`dpi`'''\n self.math = math\n self.dpi = dpi\n self.font = font\n self.prefix_line = self.BASE.split(\"\\n\").index(\n \"%s\") # used for calculate error formula index\n\n def write(self, return_bytes=False):\n # inline = bool(re.match('^\\$[^$]*\\$$', self.math)) and False\n try:\n workdir = tempfile.gettempdir()\n fd, texfile = tempfile.mkstemp('.tex', 'eq', workdir, True)\n # print(self.BASE % (self.font, self.math))\n with os.fdopen(fd, 'w+') as f:\n document = self.BASE % (self.font, '\\n'.join(self.math))\n # print(document)\n f.write(document)\n\n png, error_index = self.convert_file(\n texfile, workdir, return_bytes=return_bytes)\n return png, error_index\n\n finally:\n if os.path.exists(texfile):\n try:\n os.remove(texfile)\n except PermissionError:\n pass\n\n def convert_file(self, infile, workdir, return_bytes=False):\n infile = infile.replace('\\\\', '/')\n try:\n # Generate the PDF file\n # not stop on error line, but return error line index,index start from 1\n cmd = 'xelatex -interaction nonstopmode -file-line-error -output-directory %s %s' % (\n workdir.replace('\\\\', '/'), infile)\n\n p = subprocess.Popen(\n shlex.split(cmd),\n stdin=subprocess.PIPE,\n stdout=subprocess.PIPE,\n stderr=subprocess.PIPE,\n universal_newlines=True\n )\n sout, serr = p.communicate()\n # extract error line from sout\n error_index, _ = extract(text=sout, expression=r\"%s:(\\d+)\" % os.path.basename(infile))\n # extract success rendered equation\n if error_index != []:\n # offset index start from 0, same as self.math\n error_index = [int(_)-self.prefix_line-1 for _ in error_index]\n # Convert the PDF file to PNG's\n pdffile = infile.replace('.tex', '.pdf')\n result, _ = extract(\n text=sout, expression=\"Output written on %s \\((\\d+)? page\" % pdffile)\n if int(result[0]) != len(self.math):\n raise Exception('xelatex rendering error, generated %d formula\\'s page, but the total number of formulas is %d.' % (\n int(result[0]), len(self.math)))\n pngfile = os.path.join(workdir, infile.replace('.tex', '.png'))\n\n cmd = 'convert -density %i -colorspace gray %s -quality 90 %s' % (\n self.dpi,\n pdffile,\n pngfile,\n ) # -bg Transparent -z 9\n if sys.platform == 'win32':\n cmd = 'magick ' + cmd\n p = subprocess.Popen(\n shlex.split(cmd),\n stdin=subprocess.PIPE,\n stdout=subprocess.PIPE,\n stderr=subprocess.PIPE,\n )\n\n sout, serr = p.communicate()\n if p.returncode != 0:\n raise Exception('PDFpng error', serr, cmd, os.path.exists(\n pdffile), os.path.exists(infile))\n if return_bytes:\n if len(self.math) > 1:\n png = [open(pngfile.replace('.png', '')+'-%i.png' %\n i, 'rb').read() for i in range(len(self.math))]\n else:\n png = [open(pngfile.replace(\n '.png', '')+'.png', 'rb').read()]\n else:\n # return path\n if len(self.math) > 1:\n png = [(pngfile.replace('.png', '')+'-%i.png' % i)\n for i in range(len(self.math))]\n else:\n png = [(pngfile.replace('.png', '')+'.png')]\n return png, error_index\n except Exception as e:\n print(e)\n finally:\n # Cleanup temporaries\n basefile = infile.replace('.tex', '')\n tempext = ['.aux', '.pdf', '.log']\n if return_bytes:\n ims = glob.glob(basefile+'*.png')\n for im in ims:\n os.remove(im)\n for te in tempext:\n tempfile = basefile + te\n if os.path.exists(tempfile):\n os.remove(tempfile)\n\n\n__cache = {}\n\n\ndef tex2png(eq, **kwargs):\n if not eq in __cache:\n __cache[eq] = Latex(eq, **kwargs).write(return_bytes=True)\n return __cache[eq]\n\n\ndef tex2pil(tex, return_error_index=False, **kwargs):\n pngs, error_index = Latex(tex, **kwargs).write(return_bytes=True)\n images = [Image.open(io.BytesIO(d)) for d in pngs]\n return (images, error_index) if return_error_index else images\n\n\ndef extract(text, expression=None):\n \"\"\"extract text from text by regular expression\n\n Args:\n text (str): input text\n expression (str, optional): regular expression. Defaults to None.\n\n Returns:\n str: extracted text\n \"\"\"\n try:\n pattern = re.compile(expression)\n results = re.findall(pattern, text)\n return results, True if len(results) != 0 else False\n except Exception:\n traceback.print_exc()\n\n\nif __name__ == '__main__':\n if len(sys.argv) > 1:\n src = sys.argv[1]\n else:\n src = r'\\begin{equation}\\mathcal{ L}\\nonumber\\end{equation}'\n\n print('Equation is: %s' % src)\n print(Latex([src]).write())\n"
},
{
"path": "pix2tex/dataset/postprocess.py",
"content": "import argparse\nfrom tqdm.auto import tqdm\n\nif __name__ == '__main__':\n parser = argparse.ArgumentParser()\n parser.add_argument('-i', '--input', required=True, help='input file')\n parser.add_argument('-o', '--output', default=None, help='output file')\n args = parser.parse_args()\n\n d = open(args.input, 'r').read().split('\\n')\n reqs = ['\\\\', '_', '^', '(', ')', '{', '}']\n deleted = 0\n for i in tqdm(reversed(range(len(d))), total=len(d)):\n if not any([r in d[i] for r in reqs]):\n del d[i]\n deleted += 1\n print('removed %i lines' % deleted)\n f = args.output\n if f is None:\n f = args.input\n open(f, 'w').write('\\n'.join(d))\n"
},
{
"path": "pix2tex/dataset/preprocessing/__init__.py",
"content": ""
},
{
"path": "pix2tex/dataset/preprocessing/generate_latex_vocab.py",
"content": "import sys, logging, argparse, os\n\ndef process_args(args):\n parser = argparse.ArgumentParser(description='Generate vocabulary file.')\n\n parser.add_argument('--data-path', dest='data_path',\n type=str, required=True,\n help=('Input file containing per line. This should be the file used for training.'\n ))\n parser.add_argument('--label-path', dest='label_path',\n type=str, required=True,\n help=('Input file containing a tokenized formula per line.'\n ))\n parser.add_argument('--output-file', dest='output_file',\n type=str, required=True,\n help=('Output file for putting vocabulary.'\n ))\n parser.add_argument('--unk-threshold', dest='unk_threshold',\n type=int, default=1,\n help=('If the number of occurences of a token is less than (including) the threshold, then it will be excluded from the generated vocabulary.'\n ))\n parser.add_argument('--log-path', dest=\"log_path\",\n type=str, default='log.txt',\n help=('Log file path, default=log.txt' \n ))\n parameters = parser.parse_args(args)\n return parameters\n\ndef main(args):\n parameters = process_args(args)\n logging.basicConfig(\n level=logging.INFO,\n format='%(asctime)-15s %(name)-5s %(levelname)-8s %(message)s',\n filename=parameters.log_path)\n\n console = logging.StreamHandler()\n console.setLevel(logging.INFO)\n formatter = logging.Formatter('%(asctime)-15s %(name)-5s %(levelname)-8s %(message)s')\n console.setFormatter(formatter)\n logging.getLogger('').addHandler(console)\n\n logging.info('Script being executed: %s'%__file__)\n\n label_path = parameters.label_path\n assert os.path.exists(label_path), label_path\n data_path = parameters.data_path\n assert os.path.exists(data_path), data_path\n\n formulas = open(label_path).readlines()\n vocab = {}\n max_len = 0\n with open(data_path) as fin:\n for line in fin:\n _, line_idx = line.strip().split()\n line_strip = formulas[int(line_idx)].strip()\n tokens = line_strip.split()\n tokens_out = []\n for token in tokens:\n tokens_out.append(token)\n if token not in vocab:\n vocab[token] = 0\n vocab[token] += 1\n\n vocab_sort = sorted(list(vocab.keys()))\n vocab_out = []\n num_unknown = 0\n for word in vocab_sort:\n if vocab[word] > parameters.unk_threshold:\n vocab_out.append(word)\n else:\n num_unknown += 1\n #vocab = [\"'\"+word.replace('\\\\','\\\\\\\\').replace('\\'', '\\\\\\'')+\"'\" for word in vocab_out]\n vocab = [word for word in vocab_out]\n\n with open(parameters.output_file, 'w') as fout:\n fout.write('\\n'.join(vocab))\n logging.info('#UNK\\'s: %d'%num_unknown)\n\nif __name__ == '__main__':\n main(sys.argv[1:])\n logging.info('Jobs finished')\n"
},
{
"path": "pix2tex/dataset/preprocessing/preprocess_formulas.py",
"content": "# taken and modified from https://github.com/harvardnlp/im2markup\n# tokenize latex formulas\nimport sys\nimport os\nimport re\nimport argparse\nimport logging\nimport subprocess\nimport shutil\n\n\ndef process_args(args):\n parser = argparse.ArgumentParser(description='Preprocess (tokenize or normalize) latex formulas')\n\n parser.add_argument('--mode', '-m', dest='mode',\n choices=['tokenize', 'normalize'], default='normalize',\n help=('Tokenize (split to tokens seperated by space) or normalize (further translate to an equivalent standard form).'\n ))\n parser.add_argument('--input-file', '-i', dest='input_file',\n type=str, required=True,\n help=('Input file containing latex formulas. One formula per line.'\n ))\n parser.add_argument('--output-file', '-o', dest='output_file',\n type=str, required=True,\n help=('Output file.'\n ))\n parser.add_argument('-n', '--num-threads', dest='num_threads',\n type=int, default=4,\n help=('Number of threads, default=4.'))\n parser.add_argument('--log-path', dest=\"log_path\",\n type=str, default=None,\n help=('Log file path, default=log.txt'))\n parameters = parser.parse_args(args)\n return parameters\n\n\ndef main(args):\n parameters = process_args(args)\n logging.basicConfig(\n level=logging.INFO,\n format='%(asctime)-15s %(name)-5s %(levelname)-8s %(message)s',\n filename=parameters.log_path)\n\n console = logging.StreamHandler()\n console.setLevel(logging.INFO)\n formatter = logging.Formatter('%(asctime)-15s %(name)-5s %(levelname)-8s %(message)s')\n console.setFormatter(formatter)\n logging.getLogger('').addHandler(console)\n\n logging.info('Script being executed: %s' % __file__)\n\n input_file = parameters.input_file\n output_file = parameters.output_file\n\n assert os.path.exists(input_file), input_file\n shutil.copy(input_file, output_file)\n operators = '\\s?'.join('|'.join(['arccos', 'arcsin', 'arctan', 'arg', 'cos', 'cosh', 'cot', 'coth', 'csc', 'deg', 'det', 'dim', 'exp', 'gcd', 'hom', 'inf',\n 'injlim', 'ker', 'lg', 'lim', 'liminf', 'limsup', 'ln', 'log', 'max', 'min', 'Pr', 'projlim', 'sec', 'sin', 'sinh', 'sup', 'tan', 'tanh']))\n ops = re.compile(r'\\\\operatorname {(%s)}' % operators)\n temp_file = output_file + '.tmp'\n with open(temp_file, 'w') as fout:\n prepre = open(output_file, 'r').read().replace('\\r', ' ') # delete \\r\n # replace split, align with aligned\n prepre = re.sub(r'\\\\begin{(split|align|alignedat|alignat|eqnarray)\\*?}(.+?)\\\\end{\\1\\*?}', r'\\\\begin{aligned}\\2\\\\end{aligned}', prepre, flags=re.S)\n prepre = re.sub(r'\\\\begin{(smallmatrix)\\*?}(.+?)\\\\end{\\1\\*?}', r'\\\\begin{matrix}\\2\\\\end{matrix}', prepre, flags=re.S)\n fout.write(prepre)\n\n # print(os.path.abspath(__file__))\n cmd = r\"cat %s | node %s %s > %s \" % (temp_file, os.path.join(os.path.dirname(__file__), 'preprocess_latex.js'), parameters.mode, output_file)\n ret = subprocess.call(cmd, shell=True)\n os.remove(temp_file)\n if ret != 0:\n logging.error('FAILED: %s' % cmd)\n temp_file = output_file + '.tmp'\n shutil.move(output_file, temp_file)\n with open(temp_file, 'r') as fin:\n with open(output_file, 'w') as fout:\n for line in fin:\n tokens = line.strip().split()\n tokens_out = []\n for token in tokens:\n tokens_out.append(token)\n if len(tokens_out) > 5:\n post = ' '.join(tokens_out)\n # use \\sin instead of \\operatorname{sin}\n names = ['\\\\'+x.replace(' ', '') for x in re.findall(ops, post)]\n post = re.sub(ops, lambda match: str(names.pop(0)), post).replace(r'\\\\ \\end{array}', r'\\end{array}')\n fout.write(post+'\\n')\n os.remove(temp_file)\n\n\nif __name__ == '__main__':\n main(sys.argv[1:])\n logging.info('Jobs finished')\n"
},
{
"path": "pix2tex/dataset/preprocessing/preprocess_latex.js",
"content": "const path = require('path');\nvar katex = require(path.join(__dirname,\"third_party/katex/katex.js\"))\noptions = require(path.join(__dirname,\"third_party/katex/src/Options.js\"))\nvar readline = require('readline');\nvar rl = readline.createInterface({\n input: process.stdin,\n output: process.stdout,\n terminal: false\n});\n\n\nrl.on('line', function(line){\n a = line\n if (line[0] == \"%\") {\n line = line.substr(1, line.length - 1);\n }\n line = line.split('%')[0];\n\n line = line.split('\\\\~').join(' ');\n \n for (var i = 0; i < 300; i++) {\n line = line.replace(/\\\\>/, \" \");\n line = line.replace('$', ' ');\n line = line.replace(/\\\\label{.*?}/, \"\");\n }\n\n if (line.indexOf(\"matrix\") == -1 && line.indexOf(\"cases\")==-1 &&\n line.indexOf(\"array\")==-1 && line.indexOf(\"begin\")==-1) {\n for (var i = 0; i < 300; i++) {\n line = line.replace(/\\\\\\\\/, \"\\\\,\");\n }\n }\n \n\n line = line + \" \"\n // global_str is tokenized version (build in parser.js)\n // norm_str is normalized version build by renderer below.\n try {\n \n\n if (process.argv[2] == \"tokenize\") {\n var tree = katex.__parse(line, {});\n console.log(global_str.replace(/\\\\label { .*? }/, \"\"));\n } else {\n for (var i = 0; i < 300; ++i) {\n line = line.replace(/{\\\\rm/, \"\\\\mathrm{\");\n line = line.replace(/{ \\\\rm/, \"\\\\mathrm{\");\n line = line.replace(/\\\\rm{/, \"\\\\mathrm{\");\n }\n\n var tree = katex.__parse(line, {});\n buildExpression(tree, new options({})); \n for (var i = 0; i < 300; ++i) {\n norm_str = norm_str.replace('SSSSSS', '$');\n norm_str = norm_str.replace(' S S S S S S', '$');\n }\n console.log(norm_str.replace(/\\\\label { .*? }/, \"\"));\n }\n } catch (e) {\n console.error(line);\n console.error(norm_str);\n console.error(e);\n console.log();\n }\n global_str = \"\"\n norm_str = \"\"\n})\n\n\n\n// This is a LaTeX AST to LaTeX Renderer (modified version of KaTeX AST-> MathML).\nnorm_str = \"\"\n\nvar groupTypes = {};\n\ngroupTypes.mathord = function(group, options) {\n if (options.font == \"mathrm\"){\n for (i = 0; i < group.value.length; ++i ) {\n if (group.value[i] == \" \") {\n norm_str = norm_str + group.value[i] + \"\\; \";\n } else {\n norm_str = norm_str + group.value[i] + \" \";\n }\n }\n } else {\n norm_str = norm_str + group.value + \" \";\n }\n};\n\ngroupTypes.textord = function(group, options) {\n norm_str = norm_str + group.value + \" \";\n};\n\ngroupTypes.bin = function(group) {\n norm_str = norm_str + group.value + \" \";\n};\n\ngroupTypes.rel = function(group) {\n norm_str = norm_str + group.value + \" \";\n};\n\ngroupTypes.open = function(group) {\n norm_str = norm_str + group.value + \" \";\n};\n\ngroupTypes.close = function(group) {\n norm_str = norm_str + group.value + \" \";\n};\n\ngroupTypes.inner = function(group) {\n norm_str = norm_str + group.value + \" \";\n};\n\ngroupTypes.punct = function(group) {\n norm_str = norm_str + group.value + \" \";\n};\n\ngroupTypes.ordgroup = function(group, options) {\n norm_str = norm_str + \"{ \";\n\n buildExpression(group.value, options);\n\n norm_str = norm_str + \"} \";\n};\n\ngroupTypes.text = function(group, options) {\n \n norm_str = norm_str + \"\\\\mathrm { \";\n\n buildExpression(group.value.body, options);\n norm_str = norm_str + \"} \";\n};\n\ngroupTypes.color = function(group, options) {\n var inner = buildExpression(group.value.value, options);\n\n var node = new mathMLTree.MathNode(\"mstyle\", inner);\n\n node.setAttribute(\"mathcolor\", group.value.color);\n\n return node;\n};\n\ngroupTypes.supsub = function(group, options) {\n buildGroup(group.value.base, options);\n\n if (group.value.sub) {\n norm_str = norm_str + \"_ \";\n if (group.value.sub.type != 'ordgroup') {\n norm_str = norm_str + \" { \";\n buildGroup(group.value.sub, options);\n norm_str = norm_str + \"} \";\n } else {\n buildGroup(group.value.sub, options);\n }\n \n }\n\n if (group.value.sup) {\n norm_str = norm_str + \"^ \";\n if (group.value.sup.type != 'ordgroup') {\n norm_str = norm_str + \" { \";\n buildGroup(group.value.sup, options);\n norm_str = norm_str + \"} \";\n } else {\n buildGroup(group.value.sup, options);\n }\n }\n\n};\n\ngroupTypes.genfrac = function(group, options) {\n if (!group.value.hasBarLine) {\n norm_str = norm_str + \"\\\\binom \";\n } else {\n norm_str = norm_str + \"\\\\frac \";\n }\n buildGroup(group.value.numer, options);\n buildGroup(group.value.denom, options);\n\n};\n\ngroupTypes.array = function(group, options) {\n norm_str = norm_str + \"\\\\begin{array} { \";\n if (group.value.cols) {\n group.value.cols.map(function(start) {\n if (start && start.align) {\n norm_str = norm_str + start.align + \" \";}});\n } else {\n group.value.body[0].map(function(start) {\n norm_str = norm_str + \"l \";\n } );\n }\n norm_str = norm_str + \"} \";\n group.value.body.map(function(row) {\n if (row[0].value.length > 0) {\n out = row.map(function(cell) {\n buildGroup(cell, options);\n norm_str = norm_str + \"& \";\n });\n norm_str = norm_str.substring(0, norm_str.length-2) + \"\\\\\\\\ \";\n }\n }); \n norm_str = norm_str + \"\\\\end{array} \";\n};\n\ngroupTypes.sqrt = function(group, options) {\n var node;\n if (group.value.index) {\n norm_str = norm_str + \"\\\\sqrt [ \";\n buildExpression(group.value.index.value, options);\n norm_str = norm_str + \"] \";\n buildGroup(group.value.body, options);\n } else {\n norm_str = norm_str + \"\\\\sqrt \";\n buildGroup(group.value.body, options);\n }\n};\n\ngroupTypes.leftright = function(group, options) {\n\n\n\n norm_str = norm_str + \"\\\\left\" + group.value.left + \" \";\n buildExpression(group.value.body, options);\n norm_str = norm_str + \"\\\\right\" + group.value.right + \" \";\n};\n\ngroupTypes.accent = function(group, options) {\n if (group.value.base.type != 'ordgroup') {\n norm_str = norm_str + group.value.accent + \" { \";\n buildGroup(group.value.base, options);\n norm_str = norm_str + \"} \";\n } else {\n norm_str = norm_str + group.value.accent + \" \";\n buildGroup(group.value.base, options);\n }\n};\n\ngroupTypes.spacing = function(group) {\n var node;\n if (group.value == \" \") {\n norm_str = norm_str + \"~ \";\n } else {\n norm_str = norm_str + group.value + \" \";\n }\n return node;\n};\n\ngroupTypes.op = function(group) {\n var node;\n\n // TODO(emily): handle big operators using the `largeop` attribute\n \n \n if (group.value.symbol) {\n // This is a symbol. Just add the symbol.\n norm_str = norm_str + group.value.body + \" \";\n\n } else {\n if (group.value.limits == false) {\n norm_str = norm_str + \"\\\\\\operatorname { \";\n } else {\n norm_str = norm_str + \"\\\\\\operatorname* { \";\n }\n for (i = 1; i < group.value.body.length; ++i ) {\n norm_str = norm_str + group.value.body[i] + \" \";\n }\n norm_str = norm_str + \"} \";\n }\n};\n\ngroupTypes.katex = function(group) {\n var node = new mathMLTree.MathNode(\n \"mtext\", [new mathMLTree.TextNode(\"KaTeX\")]);\n\n return node;\n};\n\n\n\ngroupTypes.font = function(group, options) {\n var font = group.value.font;\n if (font == \"mbox\" || font == \"hbox\") {\n font = \"mathrm\";\n }\n norm_str = norm_str + \"\\\\\" + font + \" \";\n buildGroup(group.value.body, options.withFont(font)); \n};\n\ngroupTypes.delimsizing = function(group) {\n var children = [];\n norm_str = norm_str + group.value.funcName + \" \" + group.value.value + \" \";\n};\n\ngroupTypes.styling = function(group, options) {\n norm_str = norm_str + \" \" + group.value.original + \" \";\n buildExpression(group.value.value, options);\n\n};\n\ngroupTypes.sizing = function(group, options) {\n\n if (group.value.original == \"\\\\rm\") {\n norm_str = norm_str + \"\\\\mathrm { \"; \n buildExpression(group.value.value, options.withFont(\"mathrm\"));\n norm_str = norm_str + \"} \";\n } else {\n norm_str = norm_str + \" \" + group.value.original + \" \";\n buildExpression(group.value.value, options);\n }\n};\n\ngroupTypes.overline = function(group, options) {\n norm_str = norm_str + \"\\\\overline { \";\n \n buildGroup(group.value.body, options);\n norm_str = norm_str + \"} \";\n norm_str = norm_str;\n\n};\n\ngroupTypes.underline = function(group, options) {\n norm_str = norm_str + \"\\\\underline { \";\n buildGroup(group.value.body, options);\n norm_str = norm_str + \"} \";\n\n norm_str = norm_str;\n\n};\n\ngroupTypes.rule = function(group) {\n norm_str = norm_str + \"\\\\rule { \"+group.value.width.number+\" \"+group.value.width.unit+\" } { \"+group.value.height.number+\" \"+group.value.height.unit+ \" } \";\n\n};\n\ngroupTypes.llap = function(group, options) {\n norm_str = norm_str + \"\\\\llap \";\n buildGroup(group.value.body, options);\n};\n\ngroupTypes.rlap = function(group, options) {\n norm_str = norm_str + \"\\\\rlap \";\n buildGroup(group.value.body, options);\n\n};\n\ngroupTypes.phantom = function(group, options, prev) {\n norm_str = norm_str + \"\\\\phantom { \";\n buildExpression(group.value.value, options);\n norm_str = norm_str + \"} \";\n\n};\n\n/**\n * Takes a list of nodes, builds them, and returns a list of the generated\n * MathML nodes. A little simpler than the HTML version because we don't do any\n * previous-node handling.\n */\nvar buildExpression = function(expression, options) {\n var groups = [];\n for (var i = 0; i < expression.length; i++) {\n var group = expression[i];\n buildGroup(group, options);\n }\n // console.log(norm_str);\n // return groups;\n};\n\n/**\n * Takes a group from the parser and calls the appropriate groupTypes function\n * on it to produce a MathML node.\n */\nvar buildGroup = function(group, options) {\n if (groupTypes[group.type]) {\n groupTypes[group.type](group, options);\n } else {\n throw new ParseError(\n \"Got group of unknown type: '\" + group.type + \"'\");\n }\n};\n\n\n\n"
},
{
"path": "pix2tex/dataset/preprocessing/third_party/README.md",
"content": "Directly taken from https://github.com/harvardnlp/im2markup\n"
},
{
"path": "pix2tex/dataset/preprocessing/third_party/katex/.#katex.js",
"content": "srush@beaker.12118:1471814512"
},
{
"path": "pix2tex/dataset/preprocessing/third_party/katex/LICENSE.txt",
"content": "The MIT License (MIT)\n\nCopyright (c) 2015 Khan Academy\n\nThis software also uses portions of the underscore.js project, which is\nMIT licensed with the following copyright:\n\nCopyright (c) 2009-2015 Jeremy Ashkenas, DocumentCloud and Investigative\nReporters & Editors\n\nPermission is hereby granted, free of charge, to any person obtaining a copy\nof this software and associated documentation files (the \"Software\"), to deal\nin the Software without restriction, including without limitation the rights\nto use, copy, modify, merge, publish, distribute, sublicense, and/or sell\ncopies of the Software, and to permit persons to whom the Software is\nfurnished to do so, subject to the following conditions:\n\nThe above copyright notice and this permission notice shall be included in all\ncopies or substantial portions of the Software.\n\nTHE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\nIMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\nFITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE\nAUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\nLIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,\nOUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE\nSOFTWARE.\n"
},
{
"path": "pix2tex/dataset/preprocessing/third_party/katex/README.md",
"content": "# [... '\n```\n\nMake sure to include the CSS and font files, but there is no need to include the JavaScript. Like `render`, `renderToString` throws if it can't parse the expression.\n\n#### Rendering options\n\nYou can provide an object of options as the last argument to `katex.render` and `katex.renderToString`. Available options are:\n\n- `displayMode`: `boolean`. If `true` the math will be rendered in display mode, which will put the math in display style (so `\\int` and `\\sum` are large, for example), and will center the math on the page on its own line. If `false` the math will be rendered in inline mode. (default: `false`)\n- `throwOnError`: `boolean`. If `true`, KaTeX will throw a `ParseError` when it encounters an unsupported command. If `false`, KaTeX will render the unsupported command as text in the color given by `errorColor`. (default: `true`)\n- `errorColor`: `string`. A color string given in the format `\"#XXX\"` or `\"#XXXXXX\"`. This option determines the color which unsupported commands are rendered in. (default: `#cc0000`)\n\nFor example:\n\n```js\nkatex.render(\"c = \\\\pm\\\\sqrt{a^2 + b^2}\", element, { displayMode: true });\n```\n\n#### Automatic rendering of math on a page\n\nMath on the page can be automatically rendered using the auto-render extension. See [the Auto-render README](contrib/auto-render/README.md) for more information.\n\n## Contributing\n\nSee [CONTRIBUTING.md](CONTRIBUTING.md)\n\n## License\n\nKaTeX is licensed under the [MIT License](http://opensource.org/licenses/MIT).\n"
},
{
"path": "pix2tex/dataset/preprocessing/third_party/katex/cli.js",
"content": "#!/usr/bin/env node\n// Simple CLI for KaTeX.\n// Reads TeX from stdin, outputs HTML to stdout.\n/* eslint no-console:0 */\n\nvar katex = require(\"./\");\nvar input = \"\";\n\n// Skip the first two args, which are just \"node\" and \"cli.js\"\nvar args = process.argv.slice(2);\n\nif (args.indexOf(\"--help\") !== -1) {\n console.log(process.argv[0] + \" \" + process.argv[1] +\n \" [ --help ]\" +\n \" [ --display-mode ]\");\n\n console.log(\"\\n\" +\n \"Options:\");\n console.log(\" --help Display this help message\");\n console.log(\" --display-mode Render in display mode (not inline mode)\");\n process.exit();\n}\n\nprocess.stdin.on(\"data\", function(chunk) {\n input += chunk.toString();\n});\n\nprocess.stdin.on(\"end\", function() {\n var options = { displayMode: args.indexOf(\"--display-mode\") !== -1 };\n var output = katex.renderToString(input, options);\n console.log(output);\n});\n"
},
{
"path": "pix2tex/dataset/preprocessing/third_party/katex/katex.js",
"content": "/* eslint no-console:0 */\n/**\n * This is the main entry point for KaTeX. Here, we expose functions for\n * rendering expressions either to DOM nodes or to markup strings.\n *\n * We also expose the ParseError class to check if errors thrown from KaTeX are\n * errors in the expression, or errors in javascript handling.\n */\n\nvar ParseError = require(\"./src/ParseError\");\nvar Settings = require(\"./src/Settings\");\n\nvar buildTree = require(\"./src/buildTree\");\nvar parseTree = require(\"./src/parseTree\");\nvar utils = require(\"./src/utils\");\n\n/**\n * Parse and build an expression, and place that expression in the DOM node\n * given.\n */\nvar render = function(expression, baseNode, options) {\n utils.clearNode(baseNode);\n\n var settings = new Settings(options);\n\n var tree = parseTree(expression, settings);\n var node = buildTree(tree, expression, settings).toNode();\n\n baseNode.appendChild(node);\n};\n\n// KaTeX's styles don't work properly in quirks mode. Print out an error, and\n// disable rendering.\nif (typeof document !== \"undefined\") {\n if (document.compatMode !== \"CSS1Compat\") {\n typeof console !== \"undefined\" && console.warn(\n \"Warning: KaTeX doesn't work in quirks mode. Make sure your \" +\n \"website has a suitable doctype.\");\n\n render = function() {\n throw new ParseError(\"KaTeX doesn't work in quirks mode.\");\n };\n }\n}\n\n/**\n * Parse and build an expression, and return the markup for that.\n */\nvar renderToString = function(expression, options) {\n var settings = new Settings(options);\n\n var tree = parseTree(expression, settings);\n return buildTree(tree, expression, settings).toMarkup();\n};\n\n/**\n * Parse an expression and return the parse tree.\n */\nvar generateParseTree = function(expression, options) {\n var settings = new Settings(options);\n return parseTree(expression, settings);\n};\n\nmodule.exports = {\n render: render,\n renderToString: renderToString,\n /**\n * NOTE: This method is not currently recommended for public use.\n * The internal tree representation is unstable and is very likely\n * to change. Use at your own risk.\n */\n __parse: generateParseTree,\n ParseError: ParseError,\n};\n"
},
{
"path": "pix2tex/dataset/preprocessing/third_party/katex/package.json",
"content": "{\n \"_args\": [\n [\n \"katex\",\n \"/home/srush/Projects/im2latex\"\n ]\n ],\n \"_from\": \"katex@latest\",\n \"_id\": \"katex@0.6.0\",\n \"_inCache\": true,\n \"_installable\": true,\n \"_location\": \"/katex\",\n \"_nodeVersion\": \"4.2.1\",\n \"_npmOperationalInternal\": {\n \"host\": \"packages-12-west.internal.npmjs.com\",\n \"tmp\": \"tmp/katex-0.6.0.tgz_1460769444991_0.38667152682319283\"\n },\n \"_npmUser\": {\n \"email\": \"kevinb7@gmail.com\",\n \"name\": \"kevinbarabash\"\n },\n \"_npmVersion\": \"2.15.2\",\n \"_phantomChildren\": {},\n \"_requested\": {\n \"name\": \"katex\",\n \"raw\": \"katex\",\n \"rawSpec\": \"\",\n \"scope\": null,\n \"spec\": \"latest\",\n \"type\": \"tag\"\n },\n \"_requiredBy\": [\n \"#USER\"\n ],\n \"_resolved\": \"https://registry.npmjs.org/katex/-/katex-0.6.0.tgz\",\n \"_shasum\": \"12418e09121c05c92041b6b3b9fb6bab213cb6f3\",\n \"_shrinkwrap\": null,\n \"_spec\": \"katex\",\n \"_where\": \"/home/srush/Projects/im2latex\",\n \"bin\": {\n \"katex\": \"cli.js\"\n },\n \"bugs\": {\n \"url\": \"https://github.com/Khan/KaTeX/issues\"\n },\n \"dependencies\": {\n \"match-at\": \"^0.1.0\"\n },\n \"description\": \"Fast math typesetting for the web.\",\n \"devDependencies\": {\n \"browserify\": \"^10.2.4\",\n \"clean-css\": \"~2.2.15\",\n \"eslint\": \"^1.10.2\",\n \"express\": \"~3.3.3\",\n \"glob\": \"^5.0.15\",\n \"jasmine\": \"^2.3.2\",\n \"jasmine-core\": \"^2.3.4\",\n \"js-yaml\": \"^3.3.1\",\n \"jspngopt\": \"^0.1.0\",\n \"less\": \"~1.7.5\",\n \"nomnom\": \"^1.8.1\",\n \"pako\": \"0.2.7\",\n \"selenium-webdriver\": \"^2.46.1\",\n \"uglify-js\": \"~2.4.15\"\n },\n \"directories\": {},\n \"dist\": {\n \"shasum\": \"12418e09121c05c92041b6b3b9fb6bab213cb6f3\",\n \"tarball\": \"https://registry.npmjs.org/katex/-/katex-0.6.0.tgz\"\n },\n \"files\": [\n \"cli.js\",\n \"dist/\",\n \"katex.js\",\n \"src/\"\n ],\n \"gitHead\": \"b94fc6534d5c23f944906a52a592bee4e0090665\",\n \"homepage\": \"https://github.com/Khan/KaTeX#readme\",\n \"license\": \"MIT\",\n \"main\": \"katex.js\",\n \"maintainers\": [\n {\n \"name\": \"kevinbarabash\",\n \"email\": \"kevinb7@gmail.com\"\n },\n {\n \"name\": \"spicyj\",\n \"email\": \"ben@benalpert.com\"\n },\n {\n \"name\": \"xymostech\",\n \"email\": \"xymostech@gmail.com\"\n }\n ],\n \"name\": \"katex\",\n \"optionalDependencies\": {},\n \"readme\": \"ERROR: No README data found!\",\n \"repository\": {\n \"type\": \"git\",\n \"url\": \"git://github.com/Khan/KaTeX.git\"\n },\n \"scripts\": {\n \"prepublish\": \"make dist\",\n \"start\": \"node server.js\",\n \"test\": \"make lint test\"\n },\n \"version\": \"0.6.0\"\n}\n"
},
{
"path": "pix2tex/dataset/preprocessing/third_party/katex/src/Lexer.js",
"content": "/**\n * The Lexer class handles tokenizing the input in various ways. Since our\n * parser expects us to be able to backtrack, the lexer allows lexing from any\n * given starting point.\n *\n * Its main exposed function is the `lex` function, which takes a position to\n * lex from and a type of token to lex. It defers to the appropriate `_innerLex`\n * function.\n *\n * The various `_innerLex` functions perform the actual lexing of different\n * kinds.\n */\n\nvar matchAt = require(\"../../match-at\");\n\nvar ParseError = require(\"./ParseError\");\n\n// The main lexer class\nfunction Lexer(input) {\n this._input = input;\n}\n\n// The resulting token returned from `lex`.\nfunction Token(text, data, position) {\n this.text = text;\n this.data = data;\n this.position = position;\n}\n\n/* The following tokenRegex\n * - matches typical whitespace (but not NBSP etc.) using its first group\n * - matches symbol combinations which result in a single output character\n * - does not match any control character \\x00-\\x1f except whitespace\n * - does not match a bare backslash\n * - matches any ASCII character except those just mentioned\n * - does not match the BMP private use area \\uE000-\\uF8FF\n * - does not match bare surrogate code units\n * - matches any BMP character except for those just described\n * - matches any valid Unicode surrogate pair\n * - matches a backslash followed by one or more letters\n * - matches a backslash followed by any BMP character, including newline\n * Just because the Lexer matches something doesn't mean it's valid input:\n * If there is no matching function or symbol definition, the Parser will\n * still reject the input.\n */\nvar tokenRegex = new RegExp(\n \"([ \\r\\n\\t]+)|(\" + // whitespace\n \"---?\" + // special combinations\n \"|[!-\\\\[\\\\]-\\u2027\\u202A-\\uD7FF\\uF900-\\uFFFF]\" + // single codepoint\n \"|[\\uD800-\\uDBFF][\\uDC00-\\uDFFF]\" + // surrogate pair\n \"|\\\\\\\\(?:[a-zA-Z]+|[^\\uD800-\\uDFFF])\" + // function name\n \")\"\n);\n\nvar whitespaceRegex = /\\s*/;\n\n/**\n * This function lexes a single normal token. It takes a position and\n * whether it should completely ignore whitespace or not.\n */\nLexer.prototype._innerLex = function(pos, ignoreWhitespace) {\n var input = this._input;\n if (pos === input.length) {\n return new Token(\"EOF\", null, pos);\n }\n var match = matchAt(tokenRegex, input, pos);\n if (match === null) {\n throw new ParseError(\n \"Unexpected character: '\" + input[pos] + \"'\",\n this, pos);\n } else if (match[2]) { // matched non-whitespace\n return new Token(match[2], null, pos + match[2].length);\n } else if (ignoreWhitespace) {\n return this._innerLex(pos + match[1].length, true);\n } else { // concatenate whitespace to a single space\n return new Token(\" \", null, pos + match[1].length);\n }\n};\n\n// A regex to match a CSS color (like #ffffff or BlueViolet)\nvar cssColor = /#[a-z0-9]+|[a-z]+/i;\n\n/**\n * This function lexes a CSS color.\n */\nLexer.prototype._innerLexColor = function(pos) {\n var input = this._input;\n\n // Ignore whitespace\n var whitespace = matchAt(whitespaceRegex, input, pos)[0];\n pos += whitespace.length;\n\n var match;\n if ((match = matchAt(cssColor, input, pos))) {\n // If we look like a color, return a color\n return new Token(match[0], null, pos + match[0].length);\n } else {\n throw new ParseError(\"Invalid color\", this, pos);\n }\n};\n\n// A regex to match a dimension. Dimensions look like\n// \"1.2em\" or \".4pt\" or \"1 ex\"\nvar sizeRegex = /(-?)\\s*(\\d+(?:\\.\\d*)?|\\.\\d+)\\s*([a-z]{2})/;\n\n/**\n * This function lexes a dimension.\n */\nLexer.prototype._innerLexSize = function(pos) {\n var input = this._input;\n\n // Ignore whitespace\n var whitespace = matchAt(whitespaceRegex, input, pos)[0];\n pos += whitespace.length;\n\n var match;\n if ((match = matchAt(sizeRegex, input, pos))) {\n var unit = match[3];\n // We only currently handle \"em\" and \"ex\" units\n // if (unit !== \"em\" && unit !== \"ex\") {\n // throw new ParseError(\"Invalid unit: '\" + unit + \"'\", this, pos);\n // }\n return new Token(match[0], {\n number: +(match[1] + match[2]),\n unit: unit,\n }, pos + match[0].length);\n }\n\n throw new ParseError(\"Invalid size\", this, pos);\n};\n\n/**\n * This function lexes a string of whitespace.\n */\nLexer.prototype._innerLexWhitespace = function(pos) {\n var input = this._input;\n\n var whitespace = matchAt(whitespaceRegex, input, pos)[0];\n pos += whitespace.length;\n\n return new Token(whitespace[0], null, pos);\n};\n\n/**\n * This function lexes a single token starting at `pos` and of the given mode.\n * Based on the mode, we defer to one of the `_innerLex` functions.\n */\nLexer.prototype.lex = function(pos, mode) {\n if (mode === \"math\") {\n return this._innerLex(pos, true);\n } else if (mode === \"text\") {\n return this._innerLex(pos, false);\n } else if (mode === \"color\") {\n return this._innerLexColor(pos);\n } else if (mode === \"size\") {\n return this._innerLexSize(pos);\n } else if (mode === \"whitespace\") {\n return this._innerLexWhitespace(pos);\n }\n};\n\nmodule.exports = Lexer;\n"
},
{
"path": "pix2tex/dataset/preprocessing/third_party/katex/src/Options.js",
"content": "/**\n * This file contains information about the options that the Parser carries\n * around with it while parsing. Data is held in an `Options` object, and when\n * recursing, a new `Options` object can be created with the `.with*` and\n * `.reset` functions.\n */\n\n/**\n * This is the main options class. It contains the style, size, color, and font\n * of the current parse level. It also contains the style and size of the parent\n * parse level, so size changes can be handled efficiently.\n *\n * Each of the `.with*` and `.reset` functions passes its current style and size\n * as the parentStyle and parentSize of the new options class, so parent\n * handling is taken care of automatically.\n */\nfunction Options(data) {\n this.style = data.style;\n this.color = data.color;\n this.size = data.size;\n this.phantom = data.phantom;\n this.font = data.font;\n\n if (data.parentStyle === undefined) {\n this.parentStyle = data.style;\n } else {\n this.parentStyle = data.parentStyle;\n }\n\n if (data.parentSize === undefined) {\n this.parentSize = data.size;\n } else {\n this.parentSize = data.parentSize;\n }\n}\n\n/**\n * Returns a new options object with the same properties as \"this\". Properties\n * from \"extension\" will be copied to the new options object.\n */\nOptions.prototype.extend = function(extension) {\n var data = {\n style: this.style,\n size: this.size,\n color: this.color,\n parentStyle: this.style,\n parentSize: this.size,\n phantom: this.phantom,\n font: this.font,\n };\n\n for (var key in extension) {\n if (extension.hasOwnProperty(key)) {\n data[key] = extension[key];\n }\n }\n\n return new Options(data);\n};\n\n/**\n * Create a new options object with the given style.\n */\nOptions.prototype.withStyle = function(style) {\n return this.extend({\n style: style,\n });\n};\n\n/**\n * Create a new options object with the given size.\n */\nOptions.prototype.withSize = function(size) {\n return this.extend({\n size: size,\n });\n};\n\n/**\n * Create a new options object with the given color.\n */\nOptions.prototype.withColor = function(color) {\n return this.extend({\n color: color,\n });\n};\n\n/**\n * Create a new options object with \"phantom\" set to true.\n */\nOptions.prototype.withPhantom = function() {\n return this.extend({\n phantom: true,\n });\n};\n\n/**\n * Create a new options objects with the give font.\n */\nOptions.prototype.withFont = function(font) {\n return this.extend({\n font: font,\n });\n};\n\n/**\n * Create a new options object with the same style, size, and color. This is\n * used so that parent style and size changes are handled correctly.\n */\nOptions.prototype.reset = function() {\n return this.extend({});\n};\n\n/**\n * A map of color names to CSS colors.\n * TODO(emily): Remove this when we have real macros\n */\nvar colorMap = {\n \"katex-blue\": \"#6495ed\",\n \"katex-orange\": \"#ffa500\",\n \"katex-pink\": \"#ff00af\",\n \"katex-red\": \"#df0030\",\n \"katex-green\": \"#28ae7b\",\n \"katex-gray\": \"gray\",\n \"katex-purple\": \"#9d38bd\",\n \"katex-blueA\": \"#c7e9f1\",\n \"katex-blueB\": \"#9cdceb\",\n \"katex-blueC\": \"#58c4dd\",\n \"katex-blueD\": \"#29abca\",\n \"katex-blueE\": \"#1c758a\",\n \"katex-tealA\": \"#acead7\",\n \"katex-tealB\": \"#76ddc0\",\n \"katex-tealC\": \"#5cd0b3\",\n \"katex-tealD\": \"#55c1a7\",\n \"katex-tealE\": \"#49a88f\",\n \"katex-greenA\": \"#c9e2ae\",\n \"katex-greenB\": \"#a6cf8c\",\n \"katex-greenC\": \"#83c167\",\n \"katex-greenD\": \"#77b05d\",\n \"katex-greenE\": \"#699c52\",\n \"katex-goldA\": \"#f7c797\",\n \"katex-goldB\": \"#f9b775\",\n \"katex-goldC\": \"#f0ac5f\",\n \"katex-goldD\": \"#e1a158\",\n \"katex-goldE\": \"#c78d46\",\n \"katex-redA\": \"#f7a1a3\",\n \"katex-redB\": \"#ff8080\",\n \"katex-redC\": \"#fc6255\",\n \"katex-redD\": \"#e65a4c\",\n \"katex-redE\": \"#cf5044\",\n \"katex-maroonA\": \"#ecabc1\",\n \"katex-maroonB\": \"#ec92ab\",\n \"katex-maroonC\": \"#c55f73\",\n \"katex-maroonD\": \"#a24d61\",\n \"katex-maroonE\": \"#94424f\",\n \"katex-purpleA\": \"#caa3e8\",\n \"katex-purpleB\": \"#b189c6\",\n \"katex-purpleC\": \"#9a72ac\",\n \"katex-purpleD\": \"#715582\",\n \"katex-purpleE\": \"#644172\",\n \"katex-mintA\": \"#f5f9e8\",\n \"katex-mintB\": \"#edf2df\",\n \"katex-mintC\": \"#e0e5cc\",\n \"katex-grayA\": \"#fdfdfd\",\n \"katex-grayB\": \"#f7f7f7\",\n \"katex-grayC\": \"#eeeeee\",\n \"katex-grayD\": \"#dddddd\",\n \"katex-grayE\": \"#cccccc\",\n \"katex-grayF\": \"#aaaaaa\",\n \"katex-grayG\": \"#999999\",\n \"katex-grayH\": \"#555555\",\n \"katex-grayI\": \"#333333\",\n \"katex-kaBlue\": \"#314453\",\n \"katex-kaGreen\": \"#639b24\",\n};\n\n/**\n * Gets the CSS color of the current options object, accounting for the\n * `colorMap`.\n */\nOptions.prototype.getColor = function() {\n if (this.phantom) {\n return \"transparent\";\n } else {\n return colorMap[this.color] || this.color;\n }\n};\n\nmodule.exports = Options;\n"
},
{
"path": "pix2tex/dataset/preprocessing/third_party/katex/src/ParseError.js",
"content": "/**\n * This is the ParseError class, which is the main error thrown by KaTeX\n * functions when something has gone wrong. This is used to distinguish internal\n * errors from errors in the expression that the user provided.\n */\nfunction ParseError(message, lexer, position) {\n var error = \"KaTeX parse error: \" + message;\n\n if (lexer !== undefined && position !== undefined) {\n // If we have the input and a position, make the error a bit fancier\n\n // Prepend some information\n error += \" at position \" + position + \": \";\n\n // Get the input\n var input = lexer._input;\n // Insert a combining underscore at the correct position\n input = input.slice(0, position) + \"\\u0332\" +\n input.slice(position);\n\n // Extract some context from the input and add it to the error\n var begin = Math.max(0, position - 15);\n var end = position + 15;\n error += input.slice(begin, end);\n }\n\n // Some hackery to make ParseError a prototype of Error\n // See http://stackoverflow.com/a/8460753\n var self = new Error(error);\n self.name = \"ParseError\";\n self.__proto__ = ParseError.prototype;\n\n self.position = position;\n return self;\n}\n\n// More hackery\nParseError.prototype.__proto__ = Error.prototype;\n\nmodule.exports = ParseError;\n"
},
{
"path": "pix2tex/dataset/preprocessing/third_party/katex/src/Parser.js",
"content": "/* eslint no-constant-condition:0 */\nvar functions = require(\"./functions\");\nvar environments = require(\"./environments\");\nvar Lexer = require(\"./Lexer\");\nvar symbols = require(\"./symbols\");\nvar utils = require(\"./utils\");\n\nvar parseData = require(\"./parseData\");\nvar ParseError = require(\"./ParseError\");\n\nglobal_str = \"\"\n\n/**\n * This file contains the parser used to parse out a TeX expression from the\n * input. Since TeX isn't context-free, standard parsers don't work particularly\n * well.\n *\n * The strategy of this parser is as such:\n *\n * The main functions (the `.parse...` ones) take a position in the current\n * parse string to parse tokens from. The lexer (found in Lexer.js, stored at\n * this.lexer) also supports pulling out tokens at arbitrary places. When\n * individual tokens are needed at a position, the lexer is called to pull out a\n * token, which is then used.\n *\n * The parser has a property called \"mode\" indicating the mode that\n * the parser is currently in. Currently it has to be one of \"math\" or\n * \"text\", which denotes whether the current environment is a math-y\n * one or a text-y one (e.g. inside \\text). Currently, this serves to\n * limit the functions which can be used in text mode.\n *\n * The main functions then return an object which contains the useful data that\n * was parsed at its given point, and a new position at the end of the parsed\n * data. The main functions can call each other and continue the parsing by\n * using the returned position as a new starting point.\n *\n * There are also extra `.handle...` functions, which pull out some reused\n * functionality into self-contained functions.\n *\n * The earlier functions return ParseNodes.\n * The later functions (which are called deeper in the parse) sometimes return\n * ParseFuncOrArgument, which contain a ParseNode as well as some data about\n * whether the parsed object is a function which is missing some arguments, or a\n * standalone object which can be used as an argument to another function.\n */\n\n/**\n * Main Parser class\n */\nfunction Parser(input, settings) {\n // Make a new lexer\n this.lexer = new Lexer(input);\n // Store the settings for use in parsing\n this.settings = settings;\n}\n\nvar ParseNode = parseData.ParseNode;\n\n/**\n * An initial function (without its arguments), or an argument to a function.\n * The `result` argument should be a ParseNode.\n */\nfunction ParseFuncOrArgument(result, isFunction) {\n this.result = result;\n // Is this a function (i.e. is it something defined in functions.js)?\n this.isFunction = isFunction;\n}\n\n/**\n * Checks a result to make sure it has the right type, and throws an\n * appropriate error otherwise.\n *\n * @param {boolean=} consume whether to consume the expected token,\n * defaults to true\n */\nParser.prototype.expect = function(text, consume) {\n if (this.nextToken.text !== text) {\n throw new ParseError(\n \"Expected '\" + text + \"', got '\" + this.nextToken.text + \"'\",\n this.lexer, this.nextToken.position\n );\n }\n if (consume !== false) {\n this.consume();\n }\n};\n\n/**\n * Considers the current look ahead token as consumed,\n * and fetches the one after that as the new look ahead.\n */\nParser.prototype.consume = function() {\n this.pos = this.nextToken.position;\n\n global_str = global_str + \" \" + this.nextToken.text\n this.nextToken = this.lexer.lex(this.pos, this.mode);\n};\n\n/**\n * Main parsing function, which parses an entire input.\n *\n * @return {?Array.}\n */\nParser.prototype.parse = function() {\n // Try to parse the input\n this.mode = \"math\";\n this.pos = 0;\n this.nextToken = this.lexer.lex(this.pos, this.mode);\n var parse = this.parseInput();\n return parse;\n};\n\n/**\n * Parses an entire input tree.\n */\nParser.prototype.parseInput = function() {\n // Parse an expression\n var expression = this.parseExpression(false);\n // If we succeeded, make sure there's an EOF at the end\n this.expect(\"EOF\", false);\n return expression;\n};\n\nvar endOfExpression = [\"}\", \"\\\\end\", \"\\\\right\", \"&\", \"\\\\\\\\\", \"\\\\cr\"];\n\n/**\n * Parses an \"expression\", which is a list of atoms.\n *\n * @param {boolean} breakOnInfix Should the parsing stop when we hit infix\n * nodes? This happens when functions have higher precendence\n * than infix nodes in implicit parses.\n *\n * @param {?string} breakOnToken The token that the expression should end with,\n * or `null` if something else should end the expression.\n *\n * @return {ParseNode}\n */\nParser.prototype.parseExpression = function(breakOnInfix, breakOnToken) {\n var body = [];\n // Keep adding atoms to the body until we can't parse any more atoms (either\n // we reached the end, a }, or a \\right)\n while (true) {\n var lex = this.nextToken;\n var pos = this.pos;\n if (endOfExpression.indexOf(lex.text) !== -1) {\n break;\n }\n if (breakOnToken && lex.text === breakOnToken) {\n break;\n }\n var atom = this.parseAtom();\n if (!atom) {\n if (!this.settings.throwOnError && lex.text[0] === \"\\\\\") {\n var errorNode = this.handleUnsupportedCmd();\n body.push(errorNode);\n\n pos = lex.position;\n continue;\n }\n\n break;\n }\n if (breakOnInfix && atom.type === \"infix\") {\n // rewind so we can parse the infix atom again\n this.pos = pos;\n this.nextToken = lex;\n break;\n }\n body.push(atom);\n }\n return this.handleInfixNodes(body);\n};\n\n/**\n * Rewrites infix operators such as \\over with corresponding commands such\n * as \\frac.\n *\n * There can only be one infix operator per group. If there's more than one\n * then the expression is ambiguous. This can be resolved by adding {}.\n *\n * @returns {Array}\n */\nParser.prototype.handleInfixNodes = function(body) {\n var overIndex = -1;\n var funcName;\n\n for (var i = 0; i < body.length; i++) {\n var node = body[i];\n if (node.type === \"infix\") {\n if (overIndex !== -1) {\n throw new ParseError(\"only one infix operator per group\",\n this.lexer, -1);\n }\n overIndex = i;\n funcName = node.value.replaceWith;\n }\n }\n\n if (overIndex !== -1) {\n var numerNode;\n var denomNode;\n\n var numerBody = body.slice(0, overIndex);\n var denomBody = body.slice(overIndex + 1);\n\n if (numerBody.length === 1 && numerBody[0].type === \"ordgroup\") {\n numerNode = numerBody[0];\n } else {\n numerNode = new ParseNode(\"ordgroup\", numerBody, this.mode);\n }\n\n if (denomBody.length === 1 && denomBody[0].type === \"ordgroup\") {\n denomNode = denomBody[0];\n } else {\n denomNode = new ParseNode(\"ordgroup\", denomBody, this.mode);\n }\n\n var value = this.callFunction(\n funcName, [numerNode, denomNode], null);\n return [new ParseNode(value.type, value, this.mode)];\n } else {\n return body;\n }\n};\n\n// The greediness of a superscript or subscript\nvar SUPSUB_GREEDINESS = 1;\n\n/**\n * Handle a subscript or superscript with nice errors.\n */\nParser.prototype.handleSupSubscript = function(name) {\n var symbol = this.nextToken.text;\n var symPos = this.pos;\n this.consume();\n var group = this.parseGroup();\n\n if (!group) {\n if (!this.settings.throwOnError && this.nextToken.text[0] === \"\\\\\") {\n return this.handleUnsupportedCmd();\n } else {\n // throw new ParseError(\n // \"Expected group after '\" + symbol + \"'\",\n // this.lexer,\n // symPos + 1\n // );\n }\n } else if (group.isFunction) {\n // ^ and _ have a greediness, so handle interactions with functions'\n // greediness\n var funcGreediness = functions[group.result].greediness;\n if (funcGreediness > SUPSUB_GREEDINESS) {\n return this.parseFunction(group);\n } else {\n throw new ParseError(\n \"Got function '\" + group.result + \"' with no arguments \" +\n \"as \" + name,\n this.lexer, symPos + 1);\n }\n } else {\n return group.result;\n }\n};\n\n/**\n * Converts the textual input of an unsupported command into a text node\n * contained within a color node whose color is determined by errorColor\n */\nParser.prototype.handleUnsupportedCmd = function() {\n var text = this.nextToken.text;\n var textordArray = [];\n\n for (var i = 0; i < text.length; i++) {\n textordArray.push(new ParseNode(\"textord\", text[i], \"text\"));\n }\n\n var textNode = new ParseNode(\n \"text\",\n {\n body: textordArray,\n type: \"text\",\n },\n this.mode);\n\n var colorNode = new ParseNode(\n \"color\",\n {\n color: this.settings.errorColor,\n value: [textNode],\n type: \"color\",\n },\n this.mode);\n\n this.consume();\n return colorNode;\n};\n\n/**\n * Parses a group with optional super/subscripts.\n *\n * @return {?ParseNode}\n */\nParser.prototype.parseAtom = function() {\n // The body of an atom is an implicit group, so that things like\n // \\left(x\\right)^2 work correctly.\n var base = this.parseImplicitGroup();\n\n // In text mode, we don't have superscripts or subscripts\n if (this.mode === \"text\") {\n return base;\n }\n\n // Note that base may be empty (i.e. null) at this point.\n\n var superscript;\n var subscript;\n while (true) {\n // Lex the first token\n var lex = this.nextToken;\n\n if (lex.text === \"\\\\limits\" || lex.text === \"\\\\nolimits\") {\n // We got a limit control\n if (!base || base.type !== \"op\") {\n throw new ParseError(\n \"Limit controls must follow a math operator\",\n this.lexer, this.pos);\n } else {\n var limits = lex.text === \"\\\\limits\";\n base.value.limits = limits;\n base.value.alwaysHandleSupSub = true;\n }\n this.consume();\n } else if (lex.text === \"^\") {\n // We got a superscript start\n // if (superscript) {\n // throw new ParseError(\n // \"Double superscript\", this.lexer, this.pos);\n // }\n superscript = this.handleSupSubscript(\"superscript\");\n } else if (lex.text === \"_\") {\n // We got a subscript start\n // if (subscript) {\n // throw new ParseError(\n // \"Double subscript\", this.lexer, this.pos);\n // }\n subscript = this.handleSupSubscript(\"subscript\");\n } else if (lex.text === \"'\") {\n // We got a prime\n var prime = new ParseNode(\"textord\", \"\\\\prime\", this.mode);\n\n // Many primes can be grouped together, so we handle this here\n var primes = [prime];\n this.consume();\n // Keep lexing tokens until we get something that's not a prime\n while (this.nextToken.text === \"'\") {\n // For each one, add another prime to the list\n primes.push(prime);\n this.consume();\n }\n // Put them into an ordgroup as the superscript\n superscript = new ParseNode(\"ordgroup\", primes, this.mode);\n } else {\n // If it wasn't ^, _, or ', stop parsing super/subscripts\n break;\n }\n }\n\n if (superscript || subscript) {\n // If we got either a superscript or subscript, create a supsub\n return new ParseNode(\"supsub\", {\n base: base,\n sup: superscript,\n sub: subscript,\n }, this.mode);\n } else {\n // Otherwise return the original body\n return base;\n }\n};\n\n// A list of the size-changing functions, for use in parseImplicitGroup\nvar sizeFuncs = [\n \"\\\\tiny\", \"\\\\scriptsize\", \"\\\\footnotesize\", \"\\\\small\", \"\\\\normalsize\",\n \"\\\\large\", \"\\\\Large\", \"\\\\LARGE\", \"\\\\huge\", \"\\\\Huge\", \"\\\\textrm\", \"\\\\rm\", \"\\\\cal\",\n \"\\\\bf\", \"\\\\siptstyle\", \"\\\\boldmath\", \"\\\\it\"\n];\n\n// A list of the style-changing functions, for use in parseImplicitGroup\nvar styleFuncs = [\n \"\\\\displaystyle\", \"\\\\textstyle\", \"\\\\scriptstyle\", \"\\\\scriptscriptstyle\",\n];\n\n/**\n * Parses an implicit group, which is a group that starts at the end of a\n * specified, and ends right before a higher explicit group ends, or at EOL. It\n * is used for functions that appear to affect the current style, like \\Large or\n * \\textrm, where instead of keeping a style we just pretend that there is an\n * implicit grouping after it until the end of the group. E.g.\n * small text {\\Large large text} small text again\n * It is also used for \\left and \\right to get the correct grouping.\n *\n * @return {?ParseNode}\n */\nParser.prototype.parseImplicitGroup = function() {\n var start = this.parseSymbol();\n\n if (start == null) {\n // If we didn't get anything we handle, fall back to parseFunction\n return this.parseFunction();\n }\n\n var func = start.result;\n var body;\n if (func === \"\\\\left\") {\n // If we see a left:\n // Parse the entire left function (including the delimiter)\n var left = this.parseFunction(start);\n // Parse out the implicit body\n body = this.parseExpression(false);\n // Check the next token\n this.expect(\"\\\\right\", false);\n var right = this.parseFunction();\n return new ParseNode(\"leftright\", {\n body: body,\n left: left.value.value,\n right: right.value.value,\n }, this.mode);\n } else if (func === \"\\\\begin\") {\n // begin...end is similar to left...right\n var begin = this.parseFunction(start);\n var envName = begin.value.name;\n var name = (begin.value.name + \"\")\n\n global_str = global_str.substring(0, global_str.length - (name.length * 2 + 2)) + name + \"}\"\n\n if (!environments.hasOwnProperty(envName)) {\n throw new ParseError(\n \"No such environment: \" + envName,\n this.lexer, begin.value.namepos);\n }\n // Build the environment object. Arguments and other information will\n // be made available to the begin and end methods using properties.\n var env = environments[envName];\n var args = this.parseArguments(\"\\\\begin{\" + envName + \"}\", env);\n var context = {\n mode: this.mode,\n envName: envName,\n parser: this,\n lexer: this.lexer,\n positions: args.pop(),\n };\n var result = env.handler(context, args);\n this.expect(\"\\\\end\", false);\n var end = this.parseFunction();\n \n var name = (begin.value.name + \"\")\n\n global_str = global_str.substring(0, global_str.length - (name.length * 2 + 2)) + name + \"}\"\n if (end.value.name !== envName) {\n throw new ParseError(\n \"Mismatch: \\\\begin{\" + envName + \"} matched \" +\n \"by \\\\end{\" + end.value.name + \"}\",\n this.lexer /* , end.value.namepos */);\n // TODO: Add position to the above line and adjust test case,\n // requires #385 to get merged first\n }\n result.position = end.position;\n\n return result;\n\n } else if (func.value == \"\\\\matrix\" || func.value == \"\\\\pmatrix\" || func.value == \"\\\\cases\") {\n // if (!environments.hasOwnProperty(envName)) {\n // throw new ParseError(\n // \"No such environment: \" + envName,\n // this.lexer, begin.value.namepos);\n // }\n // Build the environment object. Arguments and other information will\n // be made available to the begin and end methods using properties.\n\n envName = func.value.slice(1);\n var env = environments[envName];\n // var args = this.parseArguments(\"\\\\matrix{\", env);\n this.expect(\"{\", true);\n var context = {\n mode: this.mode,\n envName: envName,\n parser: this,\n lexer: this.lexer\n };\n\n var result = env.handler(context, {} );\n // exit();\n this.expect(\"}\", true);\n // var end = this.parseFunction();\n var next = this.nextToken.text;\n // exit();\n // console.log(next);\n // var name = ( + \"\")\n\n // global_str = global_str.substring(0, global_str.length - (name.length * 2 + 2)) + name + \"}\"\n // result.position = end.position;\n\n return result;\n \n } else if (utils.contains(sizeFuncs, func)) {\n // If we see a sizing function, parse out the implict body\n body = this.parseExpression(false);\n\n return new ParseNode(\"sizing\", {\n // Figure out what size to use based on the list of functions above\n original: func,\n size: \"size\" + (utils.indexOf(sizeFuncs, func) + 1),\n value: body,\n }, this.mode);\n } else if (utils.contains(styleFuncs, func)) {\n // If we see a styling function, parse out the implict body\n body = this.parseExpression(true);\n return new ParseNode(\"styling\", {\n // Figure out what style to use by pulling out the style from\n // the function name\n original: func,\n style: func.slice(1, func.length - 5),\n value: body,\n }, this.mode);\n } else {\n // Defer to parseFunction if it's not a function we handle\n return this.parseFunction(start);\n }\n};\n\n/**\n * Parses an entire function, including its base and all of its arguments.\n * The base might either have been parsed already, in which case\n * it is provided as an argument, or it's the next group in the input.\n *\n * @param {ParseFuncOrArgument=} baseGroup optional as described above\n * @return {?ParseNode}\n */\nParser.prototype.parseFunction = function(baseGroup) {\n if (!baseGroup) {\n baseGroup = this.parseGroup();\n }\n\n if (baseGroup) {\n if (baseGroup.isFunction) {\n var func = baseGroup.result;\n var funcData = functions[func];\n if (this.mode === \"text\" && !funcData.allowedInText) {\n // throw new ParseError(\n // \"Can't use function '\" + func + \"' in text mode\",\n // this.lexer, baseGroup.position);\n }\n\n var args = this.parseArguments(func, funcData);\n var result = this.callFunction(func, args, args.pop());\n return new ParseNode(result.type, result, this.mode);\n } else {\n return baseGroup.result;\n }\n } else {\n return null;\n }\n};\n\n/**\n * Call a function handler with a suitable context and arguments.\n */\nParser.prototype.callFunction = function(name, args, positions) {\n var context = {\n funcName: name,\n parser: this,\n lexer: this.lexer,\n positions: positions,\n };\n return functions[name].handler(context, args);\n};\n\n/**\n * Parses the arguments of a function or environment\n *\n * @param {string} func \"\\name\" or \"\\begin{name}\"\n * @param {{numArgs:number,numOptionalArgs:number|undefined}} funcData\n * @return the array of arguments, with the list of positions as last element\n */\nParser.prototype.parseArguments = function(func, funcData) {\n var totalArgs = funcData.numArgs + funcData.numOptionalArgs;\n if (totalArgs === 0) {\n return [[this.pos]];\n }\n\n var baseGreediness = funcData.greediness;\n var positions = [this.pos];\n var args = [];\n\n for (var i = 0; i < totalArgs; i++) {\n var argType = funcData.argTypes && funcData.argTypes[i];\n var arg;\n if (i < funcData.numOptionalArgs) {\n if (argType) {\n arg = this.parseSpecialGroup(argType, true);\n } else {\n arg = this.parseOptionalGroup();\n }\n if (!arg) {\n args.push(null);\n positions.push(this.pos);\n continue;\n }\n } else {\n if (argType) {\n arg = this.parseSpecialGroup(argType);\n } else {\n arg = this.parseGroup();\n }\n if (!arg) {\n if (!this.settings.throwOnError &&\n this.nextToken.text[0] === \"\\\\\") {\n arg = new ParseFuncOrArgument(\n this.handleUnsupportedCmd(this.nextToken.text),\n false);\n } else {\n throw new ParseError(\n \"Expected group after '\" + func + \"'\",\n this.lexer, this.pos);\n }\n }\n }\n var argNode;\n if (arg.isFunction) {\n var argGreediness =\n functions[arg.result].greediness;\n if (argGreediness > baseGreediness) {\n argNode = this.parseFunction(arg);\n } else {\n // throw new ParseError(\n // \"Got function '\" + arg.result + \"' as \" +\n // \"argument to '\" + func + \"'\",\n // this.lexer, this.pos - 1);\n }\n } else {\n argNode = arg.result;\n }\n args.push(argNode);\n positions.push(this.pos);\n }\n\n args.push(positions);\n\n return args;\n};\n\n\n/**\n * Parses a group when the mode is changing. Takes a position, a new mode, and\n * an outer mode that is used to parse the outside.\n *\n * @return {?ParseFuncOrArgument}\n */\nParser.prototype.parseSpecialGroup = function(innerMode, optional) {\n var outerMode = this.mode;\n // Handle `original` argTypes\n if (innerMode === \"original\") {\n innerMode = outerMode;\n }\n\n if (innerMode === \"color\" || innerMode === \"size\") {\n // color and size modes are special because they should have braces and\n // should only lex a single symbol inside\n var openBrace = this.nextToken;\n if (optional && openBrace.text !== \"[\") {\n // optional arguments should return null if they don't exist\n return null;\n }\n // The call to expect will lex the token after the '{' in inner mode\n this.mode = innerMode;\n this.expect(optional ? \"[\" : \"{\");\n var inner = this.nextToken;\n this.mode = outerMode;\n var data;\n if (innerMode === \"color\") {\n data = inner.text;\n } else {\n data = inner.data;\n }\n this.consume(); // consume the token stored in inner\n this.expect(optional ? \"]\" : \"}\");\n return new ParseFuncOrArgument(\n new ParseNode(innerMode, data, outerMode),\n false);\n } else if (innerMode === \"text\") {\n // text mode is special because it should ignore the whitespace before\n // it\n var whitespace = this.lexer.lex(this.pos, \"whitespace\");\n this.pos = whitespace.position;\n }\n\n // By the time we get here, innerMode is one of \"text\" or \"math\".\n // We switch the mode of the parser, recurse, then restore the old mode.\n this.mode = innerMode;\n this.nextToken = this.lexer.lex(this.pos, innerMode);\n var res;\n if (optional) {\n res = this.parseOptionalGroup();\n } else {\n res = this.parseGroup();\n }\n this.mode = outerMode;\n this.nextToken = this.lexer.lex(this.pos, outerMode);\n return res;\n};\n\n/**\n * Parses a group, which is either a single nucleus (like \"x\") or an expression\n * in braces (like \"{x+y}\")\n *\n * @return {?ParseFuncOrArgument}\n */\nParser.prototype.parseGroup = function() {\n // Try to parse an open brace\n if (this.nextToken.text === \"{\") {\n // If we get a brace, parse an expression\n this.consume();\n var expression = this.parseExpression(false);\n // Make sure we get a close brace\n this.expect(\"}\");\n return new ParseFuncOrArgument(\n new ParseNode(\"ordgroup\", expression, this.mode),\n false);\n } else {\n // Otherwise, just return a nucleus\n return this.parseSymbol();\n }\n};\n\n/**\n * Parses a group, which is an expression in brackets (like \"[x+y]\")\n *\n * @return {?ParseFuncOrArgument}\n */\nParser.prototype.parseOptionalGroup = function() {\n // Try to parse an open bracket\n if (this.nextToken.text === \"[\") {\n // If we get a brace, parse an expression\n this.consume();\n var expression = this.parseExpression(false, \"]\");\n // Make sure we get a close bracket\n this.expect(\"]\");\n return new ParseFuncOrArgument(\n new ParseNode(\"ordgroup\", expression, this.mode),\n false);\n } else {\n // Otherwise, return null,\n return null;\n }\n};\n\n/**\n * Parse a single symbol out of the string. Here, we handle both the functions\n * we have defined, as well as the single character symbols\n *\n * @return {?ParseFuncOrArgument}\n */\nParser.prototype.parseSymbol = function() {\n var nucleus = this.nextToken;\n\n if (functions[nucleus.text]) {\n this.consume();\n // If there exists a function with this name, we return the function and\n // say that it is a function.\n return new ParseFuncOrArgument(\n nucleus.text,\n true);\n } else if (symbols[this.mode][nucleus.text]) {\n this.consume();\n // Otherwise if this is a no-argument function, find the type it\n // corresponds to in the symbols map\n return new ParseFuncOrArgument(\n new ParseNode(symbols[this.mode][nucleus.text].group,\n nucleus.text, this.mode),\n false);\n } else if (nucleus.text == \"EOF\" || nucleus.text == \"{\") {\n return null;\n \n } else {\n this.consume();\n // console.error(nucleus);\n return new ParseFuncOrArgument(\n new ParseNode(symbols[\"math\"][\"\\\\sigma\"].group,\n nucleus.text, this.mode),\n false);\n // console.log(nucleus.text);\n // return null;\n }\n};\n\nParser.prototype.ParseNode = ParseNode;\n\nmodule.exports = Parser;\n"
},
{
"path": "pix2tex/dataset/preprocessing/third_party/katex/src/Settings.js",
"content": "/**\n * This is a module for storing settings passed into KaTeX. It correctly handles\n * default settings.\n */\n\n/**\n * Helper function for getting a default value if the value is undefined\n */\nfunction get(option, defaultValue) {\n return option === undefined ? defaultValue : option;\n}\n\n/**\n * The main Settings object\n *\n * The current options stored are:\n * - displayMode: Whether the expression should be typeset by default in\n * textstyle or displaystyle (default false)\n */\nfunction Settings(options) {\n // allow null options\n options = options || {};\n this.displayMode = get(options.displayMode, false);\n this.throwOnError = get(options.throwOnError, true);\n this.errorColor = get(options.errorColor, \"#cc0000\");\n}\n\nmodule.exports = Settings;\n"
},
{
"path": "pix2tex/dataset/preprocessing/third_party/katex/src/Style.js",
"content": "/**\n * This file contains information and classes for the various kinds of styles\n * used in TeX. It provides a generic `Style` class, which holds information\n * about a specific style. It then provides instances of all the different kinds\n * of styles possible, and provides functions to move between them and get\n * information about them.\n */\n\n/**\n * The main style class. Contains a unique id for the style, a size (which is\n * the same for cramped and uncramped version of a style), a cramped flag, and a\n * size multiplier, which gives the size difference between a style and\n * textstyle.\n */\nfunction Style(id, size, multiplier, cramped) {\n this.id = id;\n this.size = size;\n this.cramped = cramped;\n this.sizeMultiplier = multiplier;\n}\n\n/**\n * Get the style of a superscript given a base in the current style.\n */\nStyle.prototype.sup = function() {\n return styles[sup[this.id]];\n};\n\n/**\n * Get the style of a subscript given a base in the current style.\n */\nStyle.prototype.sub = function() {\n return styles[sub[this.id]];\n};\n\n/**\n * Get the style of a fraction numerator given the fraction in the current\n * style.\n */\nStyle.prototype.fracNum = function() {\n return styles[fracNum[this.id]];\n};\n\n/**\n * Get the style of a fraction denominator given the fraction in the current\n * style.\n */\nStyle.prototype.fracDen = function() {\n return styles[fracDen[this.id]];\n};\n\n/**\n * Get the cramped version of a style (in particular, cramping a cramped style\n * doesn't change the style).\n */\nStyle.prototype.cramp = function() {\n return styles[cramp[this.id]];\n};\n\n/**\n * HTML class name, like \"displaystyle cramped\"\n */\nStyle.prototype.cls = function() {\n return sizeNames[this.size] + (this.cramped ? \" cramped\" : \" uncramped\");\n};\n\n/**\n * HTML Reset class name, like \"reset-textstyle\"\n */\nStyle.prototype.reset = function() {\n return resetNames[this.size];\n};\n\n// IDs of the different styles\nvar D = 0;\nvar Dc = 1;\nvar T = 2;\nvar Tc = 3;\nvar S = 4;\nvar Sc = 5;\nvar SS = 6;\nvar SSc = 7;\n\n// String names for the different sizes\nvar sizeNames = [\n \"displaystyle textstyle\",\n \"textstyle\",\n \"scriptstyle\",\n \"scriptscriptstyle\",\n];\n\n// Reset names for the different sizes\nvar resetNames = [\n \"reset-textstyle\",\n \"reset-textstyle\",\n \"reset-scriptstyle\",\n \"reset-scriptscriptstyle\",\n];\n\n// Instances of the different styles\nvar styles = [\n new Style(D, 0, 1.0, false),\n new Style(Dc, 0, 1.0, true),\n new Style(T, 1, 1.0, false),\n new Style(Tc, 1, 1.0, true),\n new Style(S, 2, 0.7, false),\n new Style(Sc, 2, 0.7, true),\n new Style(SS, 3, 0.5, false),\n new Style(SSc, 3, 0.5, true),\n];\n\n// Lookup tables for switching from one style to another\nvar sup = [S, Sc, S, Sc, SS, SSc, SS, SSc];\nvar sub = [Sc, Sc, Sc, Sc, SSc, SSc, SSc, SSc];\nvar fracNum = [T, Tc, S, Sc, SS, SSc, SS, SSc];\nvar fracDen = [Tc, Tc, Sc, Sc, SSc, SSc, SSc, SSc];\nvar cramp = [Dc, Dc, Tc, Tc, Sc, Sc, SSc, SSc];\n\n// We only export some of the styles. Also, we don't export the `Style` class so\n// no more styles can be generated.\nmodule.exports = {\n DISPLAY: styles[D],\n TEXT: styles[T],\n SCRIPT: styles[S],\n SCRIPTSCRIPT: styles[SS],\n};\n"
},
{
"path": "pix2tex/dataset/preprocessing/third_party/katex/src/buildCommon.js",
"content": "/* eslint no-console:0 */\n/**\n * This module contains general functions that can be used for building\n * different kinds of domTree nodes in a consistent manner.\n */\n\nvar domTree = require(\"./domTree\");\nvar fontMetrics = require(\"./fontMetrics\");\nvar symbols = require(\"./symbols\");\nvar utils = require(\"./utils\");\n\nvar greekCapitals = [\n \"\\\\Gamma\",\n \"\\\\Delta\",\n \"\\\\Theta\",\n \"\\\\Lambda\",\n \"\\\\Xi\",\n \"\\\\Pi\",\n \"\\\\Sigma\",\n \"\\\\Upsilon\",\n \"\\\\Phi\",\n \"\\\\Psi\",\n \"\\\\Omega\",\n];\n\nvar dotlessLetters = [\n \"\\u0131\", // dotless i, \\imath\n \"\\u0237\", // dotless j, \\jmath\n];\n\n/**\n * Makes a symbolNode after translation via the list of symbols in symbols.js.\n * Correctly pulls out metrics for the character, and optionally takes a list of\n * classes to be attached to the node.\n */\nvar makeSymbol = function(value, style, mode, color, classes) {\n // Replace the value with its replaced value from symbol.js\n if (symbols[mode][value] && symbols[mode][value].replace) {\n value = symbols[mode][value].replace;\n }\n\n var metrics = fontMetrics.getCharacterMetrics(value, style);\n\n var symbolNode;\n if (metrics) {\n symbolNode = new domTree.symbolNode(\n value, metrics.height, metrics.depth, metrics.italic, metrics.skew,\n classes);\n } else {\n // TODO(emily): Figure out a good way to only print this in development\n typeof console !== \"undefined\" && console.warn(\n \"No character metrics for '\" + value + \"' in style '\" +\n style + \"'\");\n symbolNode = new domTree.symbolNode(value, 0, 0, 0, 0, classes);\n }\n\n if (color) {\n symbolNode.style.color = color;\n }\n\n return symbolNode;\n};\n\n/**\n * Makes a symbol in Main-Regular or AMS-Regular.\n * Used for rel, bin, open, close, inner, and punct.\n */\nvar mathsym = function(value, mode, color, classes) {\n // Decide what font to render the symbol in by its entry in the symbols\n // table.\n // Have a special case for when the value = \\ because the \\ is used as a\n // textord in unsupported command errors but cannot be parsed as a regular\n // text ordinal and is therefore not present as a symbol in the symbols\n // table for text\n if (value === \"\\\\\" || symbols[mode][value].font === \"main\") {\n return makeSymbol(value, \"Main-Regular\", mode, color, classes);\n } else {\n return makeSymbol(\n value, \"AMS-Regular\", mode, color, classes.concat([\"amsrm\"]));\n }\n};\n\n/**\n * Makes a symbol in the default font for mathords and textords.\n */\nvar mathDefault = function(value, mode, color, classes, type) {\n if (type === \"mathord\") {\n return mathit(value, mode, color, classes);\n } else if (type === \"textord\") {\n return makeSymbol(\n value, \"Main-Regular\", mode, color, classes.concat([\"mathrm\"]));\n } else {\n throw new Error(\"unexpected type: \" + type + \" in mathDefault\");\n }\n};\n\n/**\n * Makes a symbol in the italic math font.\n */\nvar mathit = function(value, mode, color, classes) {\n if (/[0-9]/.test(value.charAt(0)) ||\n // glyphs for \\imath and \\jmath do not exist in Math-Italic so we\n // need to use Main-Italic instead\n utils.contains(dotlessLetters, value) ||\n utils.contains(greekCapitals, value)) {\n return makeSymbol(\n value, \"Main-Italic\", mode, color, classes.concat([\"mainit\"]));\n } else {\n return makeSymbol(\n value, \"Math-Italic\", mode, color, classes.concat([\"mathit\"]));\n }\n};\n\n/**\n * Makes either a mathord or textord in the correct font and color.\n */\nvar makeOrd = function(group, options, type) {\n var mode = group.mode;\n var value = group.value;\n if (symbols[mode][value] && symbols[mode][value].replace) {\n value = symbols[mode][value].replace;\n }\n\n var classes = [\"mord\"];\n var color = options.getColor();\n\n var font = options.font;\n if (font) {\n if (font === \"mathit\" || utils.contains(dotlessLetters, value)) {\n return mathit(value, mode, color, classes);\n } else {\n var fontName = fontMap[font].fontName;\n if (fontMetrics.getCharacterMetrics(value, fontName)) {\n return makeSymbol(\n value, fontName, mode, color, classes.concat([font]));\n } else {\n return mathDefault(value, mode, color, classes, type);\n }\n }\n } else {\n return mathDefault(value, mode, color, classes, type);\n }\n};\n\n/**\n * Calculate the height, depth, and maxFontSize of an element based on its\n * children.\n */\nvar sizeElementFromChildren = function(elem) {\n var height = 0;\n var depth = 0;\n var maxFontSize = 0;\n\n if (elem.children) {\n for (var i = 0; i < elem.children.length; i++) {\n if (elem.children[i].height > height) {\n height = elem.children[i].height;\n }\n if (elem.children[i].depth > depth) {\n depth = elem.children[i].depth;\n }\n if (elem.children[i].maxFontSize > maxFontSize) {\n maxFontSize = elem.children[i].maxFontSize;\n }\n }\n }\n\n elem.height = height;\n elem.depth = depth;\n elem.maxFontSize = maxFontSize;\n};\n\n/**\n * Makes a span with the given list of classes, list of children, and color.\n */\nvar makeSpan = function(classes, children, color) {\n var span = new domTree.span(classes, children);\n\n sizeElementFromChildren(span);\n\n if (color) {\n span.style.color = color;\n }\n\n return span;\n};\n\n/**\n * Makes a document fragment with the given list of children.\n */\nvar makeFragment = function(children) {\n var fragment = new domTree.documentFragment(children);\n\n sizeElementFromChildren(fragment);\n\n return fragment;\n};\n\n/**\n * Makes an element placed in each of the vlist elements to ensure that each\n * element has the same max font size. To do this, we create a zero-width space\n * with the correct font size.\n */\nvar makeFontSizer = function(options, fontSize) {\n var fontSizeInner = makeSpan([], [new domTree.symbolNode(\"\\u200b\")]);\n fontSizeInner.style.fontSize =\n (fontSize / options.style.sizeMultiplier) + \"em\";\n\n var fontSizer = makeSpan(\n [\"fontsize-ensurer\", \"reset-\" + options.size, \"size5\"],\n [fontSizeInner]);\n\n return fontSizer;\n};\n\n/**\n * Makes a vertical list by stacking elements and kerns on top of each other.\n * Allows for many different ways of specifying the positioning method.\n *\n * Arguments:\n * - children: A list of child or kern nodes to be stacked on top of each other\n * (i.e. the first element will be at the bottom, and the last at\n * the top). Element nodes are specified as\n * {type: \"elem\", elem: node}\n * while kern nodes are specified as\n * {type: \"kern\", size: size}\n * - positionType: The method by which the vlist should be positioned. Valid\n * values are:\n * - \"individualShift\": The children list only contains elem\n * nodes, and each node contains an extra\n * \"shift\" value of how much it should be\n * shifted (note that shifting is always\n * moving downwards). positionData is\n * ignored.\n * - \"top\": The positionData specifies the topmost point of\n * the vlist (note this is expected to be a height,\n * so positive values move up)\n * - \"bottom\": The positionData specifies the bottommost point\n * of the vlist (note this is expected to be a\n * depth, so positive values move down\n * - \"shift\": The vlist will be positioned such that its\n * baseline is positionData away from the baseline\n * of the first child. Positive values move\n * downwards.\n * - \"firstBaseline\": The vlist will be positioned such that\n * its baseline is aligned with the\n * baseline of the first child.\n * positionData is ignored. (this is\n * equivalent to \"shift\" with\n * positionData=0)\n * - positionData: Data used in different ways depending on positionType\n * - options: An Options object\n *\n */\nvar makeVList = function(children, positionType, positionData, options) {\n var depth;\n var currPos;\n var i;\n if (positionType === \"individualShift\") {\n var oldChildren = children;\n children = [oldChildren[0]];\n\n // Add in kerns to the list of children to get each element to be\n // shifted to the correct specified shift\n depth = -oldChildren[0].shift - oldChildren[0].elem.depth;\n currPos = depth;\n for (i = 1; i < oldChildren.length; i++) {\n var diff = -oldChildren[i].shift - currPos -\n oldChildren[i].elem.depth;\n var size = diff -\n (oldChildren[i - 1].elem.height +\n oldChildren[i - 1].elem.depth);\n\n currPos = currPos + diff;\n\n children.push({type: \"kern\", size: size});\n children.push(oldChildren[i]);\n }\n } else if (positionType === \"top\") {\n // We always start at the bottom, so calculate the bottom by adding up\n // all the sizes\n var bottom = positionData;\n for (i = 0; i < children.length; i++) {\n if (children[i].type === \"kern\") {\n bottom -= children[i].size;\n } else {\n bottom -= children[i].elem.height + children[i].elem.depth;\n }\n }\n depth = bottom;\n } else if (positionType === \"bottom\") {\n depth = -positionData;\n } else if (positionType === \"shift\") {\n depth = -children[0].elem.depth - positionData;\n } else if (positionType === \"firstBaseline\") {\n depth = -children[0].elem.depth;\n } else {\n depth = 0;\n }\n\n // Make the fontSizer\n var maxFontSize = 0;\n for (i = 0; i < children.length; i++) {\n if (children[i].type === \"elem\") {\n maxFontSize = Math.max(maxFontSize, children[i].elem.maxFontSize);\n }\n }\n var fontSizer = makeFontSizer(options, maxFontSize);\n\n // Create a new list of actual children at the correct offsets\n var realChildren = [];\n currPos = depth;\n for (i = 0; i < children.length; i++) {\n if (children[i].type === \"kern\") {\n currPos += children[i].size;\n } else {\n var child = children[i].elem;\n\n var shift = -child.depth - currPos;\n currPos += child.height + child.depth;\n\n var childWrap = makeSpan([], [fontSizer, child]);\n childWrap.height -= shift;\n childWrap.depth += shift;\n childWrap.style.top = shift + \"em\";\n\n realChildren.push(childWrap);\n }\n }\n\n // Add in an element at the end with no offset to fix the calculation of\n // baselines in some browsers (namely IE, sometimes safari)\n var baselineFix = makeSpan(\n [\"baseline-fix\"], [fontSizer, new domTree.symbolNode(\"\\u200b\")]);\n realChildren.push(baselineFix);\n\n var vlist = makeSpan([\"vlist\"], realChildren);\n // Fix the final height and depth, in case there were kerns at the ends\n // since the makeSpan calculation won't take that in to account.\n vlist.height = Math.max(currPos, vlist.height);\n vlist.depth = Math.max(-depth, vlist.depth);\n return vlist;\n};\n\n// A table of size -> font size for the different sizing functions\nvar sizingMultiplier = {\n size1: 0.5,\n size2: 0.7,\n size3: 0.8,\n size4: 0.9,\n size5: 1.0,\n size6: 1.2,\n size7: 1.44,\n size8: 1.73,\n size9: 2.07,\n size10: 2.49,\n};\n\n// A map of spacing functions to their attributes, like size and corresponding\n// CSS class\nvar spacingFunctions = {\n \"\\\\qquad\": {\n size: \"2em\",\n className: \"qquad\",\n },\n \"\\\\quad\": {\n size: \"1em\",\n className: \"quad\",\n },\n \"\\\\enspace\": {\n size: \"0.5em\",\n className: \"enspace\",\n },\n \"\\\\;\": {\n size: \"0.277778em\",\n className: \"thickspace\",\n },\n \"\\\\:\": {\n size: \"0.22222em\",\n className: \"mediumspace\",\n },\n \"\\\\,\": {\n size: \"0.16667em\",\n className: \"thinspace\",\n },\n \"\\\\!\": {\n size: \"-0.16667em\",\n className: \"negativethinspace\",\n },\n};\n\n/**\n * Maps TeX font commands to objects containing:\n * - variant: string used for \"mathvariant\" attribute in buildMathML.js\n * - fontName: the \"style\" parameter to fontMetrics.getCharacterMetrics\n */\n// A map between tex font commands an MathML mathvariant attribute values\nvar fontMap = {\n // styles\n \"mathbf\": {\n variant: \"bold\",\n fontName: \"Main-Bold\",\n },\n \"mathrm\": {\n variant: \"normal\",\n fontName: \"Main-Regular\",\n },\n\n // \"mathit\" is missing because it requires the use of two fonts: Main-Italic\n // and Math-Italic. This is handled by a special case in makeOrd which ends\n // up calling mathit.\n\n // families\n \"mathbb\": {\n variant: \"double-struck\",\n fontName: \"AMS-Regular\",\n },\n \"mathcal\": {\n variant: \"script\",\n fontName: \"Caligraphic-Regular\",\n },\n \"mathfrak\": {\n variant: \"fraktur\",\n fontName: \"Fraktur-Regular\",\n },\n \"mathscr\": {\n variant: \"script\",\n fontName: \"Script-Regular\",\n },\n \"mathsf\": {\n variant: \"sans-serif\",\n fontName: \"SansSerif-Regular\",\n },\n \"mathtt\": {\n variant: \"monospace\",\n fontName: \"Typewriter-Regular\",\n },\n};\n\nmodule.exports = {\n fontMap: fontMap,\n makeSymbol: makeSymbol,\n mathsym: mathsym,\n makeSpan: makeSpan,\n makeFragment: makeFragment,\n makeVList: makeVList,\n makeOrd: makeOrd,\n sizingMultiplier: sizingMultiplier,\n spacingFunctions: spacingFunctions,\n};\n"
},
{
"path": "pix2tex/dataset/preprocessing/third_party/katex/src/buildHTML.js",
"content": "/* eslint no-console:0 */\n/**\n * This file does the main work of building a domTree structure from a parse\n * tree. The entry point is the `buildHTML` function, which takes a parse tree.\n * Then, the buildExpression, buildGroup, and various groupTypes functions are\n * called, to produce a final HTML tree.\n */\n\nvar ParseError = require(\"./ParseError\");\nvar Style = require(\"./Style\");\n\nvar buildCommon = require(\"./buildCommon\");\nvar delimiter = require(\"./delimiter\");\nvar domTree = require(\"./domTree\");\nvar fontMetrics = require(\"./fontMetrics\");\nvar utils = require(\"./utils\");\n\nvar makeSpan = buildCommon.makeSpan;\n\n/**\n * Take a list of nodes, build them in order, and return a list of the built\n * nodes. This function handles the `prev` node correctly, and passes the\n * previous element from the list as the prev of the next element.\n */\nvar buildExpression = function(expression, options, prev) {\n var groups = [];\n for (var i = 0; i < expression.length; i++) {\n var group = expression[i];\n groups.push(buildGroup(group, options, prev));\n prev = group;\n }\n return groups;\n};\n\n// List of types used by getTypeOfGroup,\n// see https://github.com/Khan/KaTeX/wiki/Examining-TeX#group-types\nvar groupToType = {\n mathord: \"mord\",\n textord: \"mord\",\n bin: \"mbin\",\n rel: \"mrel\",\n text: \"mord\",\n open: \"mopen\",\n close: \"mclose\",\n inner: \"minner\",\n genfrac: \"mord\",\n array: \"mord\",\n spacing: \"mord\",\n punct: \"mpunct\",\n ordgroup: \"mord\",\n op: \"mop\",\n katex: \"mord\",\n overline: \"mord\",\n underline: \"mord\",\n rule: \"mord\",\n leftright: \"minner\",\n sqrt: \"mord\",\n accent: \"mord\",\n};\n\n/**\n * Gets the final math type of an expression, given its group type. This type is\n * used to determine spacing between elements, and affects bin elements by\n * causing them to change depending on what types are around them. This type\n * must be attached to the outermost node of an element as a CSS class so that\n * spacing with its surrounding elements works correctly.\n *\n * Some elements can be mapped one-to-one from group type to math type, and\n * those are listed in the `groupToType` table.\n *\n * Others (usually elements that wrap around other elements) often have\n * recursive definitions, and thus call `getTypeOfGroup` on their inner\n * elements.\n */\nvar getTypeOfGroup = function(group) {\n if (group == null) {\n // Like when typesetting $^3$\n return groupToType.mathord;\n } else if (group.type === \"supsub\") {\n return getTypeOfGroup(group.value.base);\n } else if (group.type === \"llap\" || group.type === \"rlap\") {\n return getTypeOfGroup(group.value);\n } else if (group.type === \"color\") {\n return getTypeOfGroup(group.value.value);\n } else if (group.type === \"sizing\") {\n return getTypeOfGroup(group.value.value);\n } else if (group.type === \"styling\") {\n return getTypeOfGroup(group.value.value);\n } else if (group.type === \"delimsizing\") {\n return groupToType[group.value.delimType];\n } else {\n return groupToType[group.type];\n }\n};\n\n/**\n * Sometimes, groups perform special rules when they have superscripts or\n * subscripts attached to them. This function lets the `supsub` group know that\n * its inner element should handle the superscripts and subscripts instead of\n * handling them itself.\n */\nvar shouldHandleSupSub = function(group, options) {\n if (!group) {\n return false;\n } else if (group.type === \"op\") {\n // Operators handle supsubs differently when they have limits\n // (e.g. `\\displaystyle\\sum_2^3`)\n return group.value.limits &&\n (options.style.size === Style.DISPLAY.size ||\n group.value.alwaysHandleSupSub);\n } else if (group.type === \"accent\") {\n return isCharacterBox(group.value.base);\n } else {\n return null;\n }\n};\n\n/**\n * Sometimes we want to pull out the innermost element of a group. In most\n * cases, this will just be the group itself, but when ordgroups and colors have\n * a single element, we want to pull that out.\n */\nvar getBaseElem = function(group) {\n if (!group) {\n return false;\n } else if (group.type === \"ordgroup\") {\n if (group.value.length === 1) {\n return getBaseElem(group.value[0]);\n } else {\n return group;\n }\n } else if (group.type === \"color\") {\n if (group.value.value.length === 1) {\n return getBaseElem(group.value.value[0]);\n } else {\n return group;\n }\n } else {\n return group;\n }\n};\n\n/**\n * TeXbook algorithms often reference \"character boxes\", which are simply groups\n * with a single character in them. To decide if something is a character box,\n * we find its innermost group, and see if it is a single character.\n */\nvar isCharacterBox = function(group) {\n var baseElem = getBaseElem(group);\n\n // These are all they types of groups which hold single characters\n return baseElem.type === \"mathord\" ||\n baseElem.type === \"textord\" ||\n baseElem.type === \"bin\" ||\n baseElem.type === \"rel\" ||\n baseElem.type === \"inner\" ||\n baseElem.type === \"open\" ||\n baseElem.type === \"close\" ||\n baseElem.type === \"punct\";\n};\n\nvar makeNullDelimiter = function(options) {\n return makeSpan([\n \"sizing\", \"reset-\" + options.size, \"size5\",\n options.style.reset(), Style.TEXT.cls(),\n \"nulldelimiter\",\n ]);\n};\n\n/**\n * This is a map of group types to the function used to handle that type.\n * Simpler types come at the beginning, while complicated types come afterwards.\n */\nvar groupTypes = {};\n\ngroupTypes.mathord = function(group, options, prev) {\n return buildCommon.makeOrd(group, options, \"mathord\");\n};\n\ngroupTypes.textord = function(group, options, prev) {\n return buildCommon.makeOrd(group, options, \"textord\");\n};\n\ngroupTypes.bin = function(group, options, prev) {\n var className = \"mbin\";\n // Pull out the most recent element. Do some special handling to find\n // things at the end of a \\color group. Note that we don't use the same\n // logic for ordgroups (which count as ords).\n var prevAtom = prev;\n while (prevAtom && prevAtom.type === \"color\") {\n var atoms = prevAtom.value.value;\n prevAtom = atoms[atoms.length - 1];\n }\n // See TeXbook pg. 442-446, Rules 5 and 6, and the text before Rule 19.\n // Here, we determine whether the bin should turn into an ord. We\n // currently only apply Rule 5.\n if (!prev || utils.contains([\"mbin\", \"mopen\", \"mrel\", \"mop\", \"mpunct\"],\n getTypeOfGroup(prevAtom))) {\n group.type = \"textord\";\n className = \"mord\";\n }\n\n return buildCommon.mathsym(\n group.value, group.mode, options.getColor(), [className]);\n};\n\ngroupTypes.rel = function(group, options, prev) {\n return buildCommon.mathsym(\n group.value, group.mode, options.getColor(), [\"mrel\"]);\n};\n\ngroupTypes.open = function(group, options, prev) {\n return buildCommon.mathsym(\n group.value, group.mode, options.getColor(), [\"mopen\"]);\n};\n\ngroupTypes.close = function(group, options, prev) {\n return buildCommon.mathsym(\n group.value, group.mode, options.getColor(), [\"mclose\"]);\n};\n\ngroupTypes.inner = function(group, options, prev) {\n return buildCommon.mathsym(\n group.value, group.mode, options.getColor(), [\"minner\"]);\n};\n\ngroupTypes.punct = function(group, options, prev) {\n return buildCommon.mathsym(\n group.value, group.mode, options.getColor(), [\"mpunct\"]);\n};\n\ngroupTypes.ordgroup = function(group, options, prev) {\n return makeSpan(\n [\"mord\", options.style.cls()],\n buildExpression(group.value, options.reset())\n );\n};\n\ngroupTypes.text = function(group, options, prev) {\n return makeSpan([\"text\", \"mord\", options.style.cls()],\n buildExpression(group.value.body, options.reset()));\n};\n\ngroupTypes.color = function(group, options, prev) {\n var elements = buildExpression(\n group.value.value,\n options.withColor(group.value.color),\n prev\n );\n\n // \\color isn't supposed to affect the type of the elements it contains.\n // To accomplish this, we wrap the results in a fragment, so the inner\n // elements will be able to directly interact with their neighbors. For\n // example, `\\color{red}{2 +} 3` has the same spacing as `2 + 3`\n return new buildCommon.makeFragment(elements);\n};\n\ngroupTypes.supsub = function(group, options, prev) {\n // Superscript and subscripts are handled in the TeXbook on page\n // 445-446, rules 18(a-f).\n\n // Here is where we defer to the inner group if it should handle\n // superscripts and subscripts itself.\n if (shouldHandleSupSub(group.value.base, options)) {\n return groupTypes[group.value.base.type](group, options, prev);\n }\n\n var base = buildGroup(group.value.base, options.reset());\n var supmid;\n var submid;\n var sup;\n var sub;\n\n if (group.value.sup) {\n sup = buildGroup(group.value.sup,\n options.withStyle(options.style.sup()));\n supmid = makeSpan(\n [options.style.reset(), options.style.sup().cls()], [sup]);\n }\n\n if (group.value.sub) {\n sub = buildGroup(group.value.sub,\n options.withStyle(options.style.sub()));\n submid = makeSpan(\n [options.style.reset(), options.style.sub().cls()], [sub]);\n }\n\n // Rule 18a\n var supShift;\n var subShift;\n if (isCharacterBox(group.value.base)) {\n supShift = 0;\n subShift = 0;\n } else {\n supShift = base.height - fontMetrics.metrics.supDrop;\n subShift = base.depth + fontMetrics.metrics.subDrop;\n }\n\n // Rule 18c\n var minSupShift;\n if (options.style === Style.DISPLAY) {\n minSupShift = fontMetrics.metrics.sup1;\n } else if (options.style.cramped) {\n minSupShift = fontMetrics.metrics.sup3;\n } else {\n minSupShift = fontMetrics.metrics.sup2;\n }\n\n // scriptspace is a font-size-independent size, so scale it\n // appropriately\n var multiplier = Style.TEXT.sizeMultiplier *\n options.style.sizeMultiplier;\n var scriptspace =\n (0.5 / fontMetrics.metrics.ptPerEm) / multiplier + \"em\";\n\n var supsub;\n if (!group.value.sup) {\n // Rule 18b\n subShift = Math.max(\n subShift, fontMetrics.metrics.sub1,\n sub.height - 0.8 * fontMetrics.metrics.xHeight);\n\n supsub = buildCommon.makeVList([\n {type: \"elem\", elem: submid},\n ], \"shift\", subShift, options);\n\n supsub.children[0].style.marginRight = scriptspace;\n\n // Subscripts shouldn't be shifted by the base's italic correction.\n // Account for that by shifting the subscript back the appropriate\n // amount. Note we only do this when the base is a single symbol.\n if (base instanceof domTree.symbolNode) {\n supsub.children[0].style.marginLeft = -base.italic + \"em\";\n }\n } else if (!group.value.sub) {\n // Rule 18c, d\n supShift = Math.max(supShift, minSupShift,\n sup.depth + 0.25 * fontMetrics.metrics.xHeight);\n\n supsub = buildCommon.makeVList([\n {type: \"elem\", elem: supmid},\n ], \"shift\", -supShift, options);\n\n supsub.children[0].style.marginRight = scriptspace;\n } else {\n supShift = Math.max(\n supShift, minSupShift,\n sup.depth + 0.25 * fontMetrics.metrics.xHeight);\n subShift = Math.max(subShift, fontMetrics.metrics.sub2);\n\n var ruleWidth = fontMetrics.metrics.defaultRuleThickness;\n\n // Rule 18e\n if ((supShift - sup.depth) - (sub.height - subShift) <\n 4 * ruleWidth) {\n subShift = 4 * ruleWidth - (supShift - sup.depth) + sub.height;\n var psi = 0.8 * fontMetrics.metrics.xHeight -\n (supShift - sup.depth);\n if (psi > 0) {\n supShift += psi;\n subShift -= psi;\n }\n }\n\n supsub = buildCommon.makeVList([\n {type: \"elem\", elem: submid, shift: subShift},\n {type: \"elem\", elem: supmid, shift: -supShift},\n ], \"individualShift\", null, options);\n\n // See comment above about subscripts not being shifted\n if (base instanceof domTree.symbolNode) {\n supsub.children[0].style.marginLeft = -base.italic + \"em\";\n }\n\n supsub.children[0].style.marginRight = scriptspace;\n supsub.children[1].style.marginRight = scriptspace;\n }\n\n return makeSpan([getTypeOfGroup(group.value.base)],\n [base, supsub]);\n};\n\ngroupTypes.genfrac = function(group, options, prev) {\n // Fractions are handled in the TeXbook on pages 444-445, rules 15(a-e).\n // Figure out what style this fraction should be in based on the\n // function used\n var fstyle = options.style;\n if (group.value.size === \"display\") {\n fstyle = Style.DISPLAY;\n } else if (group.value.size === \"text\") {\n fstyle = Style.TEXT;\n }\n\n var nstyle = fstyle.fracNum();\n var dstyle = fstyle.fracDen();\n\n var numer = buildGroup(group.value.numer, options.withStyle(nstyle));\n var numerreset = makeSpan([fstyle.reset(), nstyle.cls()], [numer]);\n\n var denom = buildGroup(group.value.denom, options.withStyle(dstyle));\n var denomreset = makeSpan([fstyle.reset(), dstyle.cls()], [denom]);\n\n var ruleWidth;\n if (group.value.hasBarLine) {\n ruleWidth = fontMetrics.metrics.defaultRuleThickness /\n options.style.sizeMultiplier;\n } else {\n ruleWidth = 0;\n }\n\n // Rule 15b\n var numShift;\n var clearance;\n var denomShift;\n if (fstyle.size === Style.DISPLAY.size) {\n numShift = fontMetrics.metrics.num1;\n if (ruleWidth > 0) {\n clearance = 3 * ruleWidth;\n } else {\n clearance = 7 * fontMetrics.metrics.defaultRuleThickness;\n }\n denomShift = fontMetrics.metrics.denom1;\n } else {\n if (ruleWidth > 0) {\n numShift = fontMetrics.metrics.num2;\n clearance = ruleWidth;\n } else {\n numShift = fontMetrics.metrics.num3;\n clearance = 3 * fontMetrics.metrics.defaultRuleThickness;\n }\n denomShift = fontMetrics.metrics.denom2;\n }\n\n var frac;\n if (ruleWidth === 0) {\n // Rule 15c\n var candiateClearance =\n (numShift - numer.depth) - (denom.height - denomShift);\n if (candiateClearance < clearance) {\n numShift += 0.5 * (clearance - candiateClearance);\n denomShift += 0.5 * (clearance - candiateClearance);\n }\n\n frac = buildCommon.makeVList([\n {type: \"elem\", elem: denomreset, shift: denomShift},\n {type: \"elem\", elem: numerreset, shift: -numShift},\n ], \"individualShift\", null, options);\n } else {\n // Rule 15d\n var axisHeight = fontMetrics.metrics.axisHeight;\n\n if ((numShift - numer.depth) - (axisHeight + 0.5 * ruleWidth) <\n clearance) {\n numShift +=\n clearance - ((numShift - numer.depth) -\n (axisHeight + 0.5 * ruleWidth));\n }\n\n if ((axisHeight - 0.5 * ruleWidth) - (denom.height - denomShift) <\n clearance) {\n denomShift +=\n clearance - ((axisHeight - 0.5 * ruleWidth) -\n (denom.height - denomShift));\n }\n\n var mid = makeSpan(\n [options.style.reset(), Style.TEXT.cls(), \"frac-line\"]);\n // Manually set the height of the line because its height is\n // created in CSS\n mid.height = ruleWidth;\n\n var midShift = -(axisHeight - 0.5 * ruleWidth);\n\n frac = buildCommon.makeVList([\n {type: \"elem\", elem: denomreset, shift: denomShift},\n {type: \"elem\", elem: mid, shift: midShift},\n {type: \"elem\", elem: numerreset, shift: -numShift},\n ], \"individualShift\", null, options);\n }\n\n // Since we manually change the style sometimes (with \\dfrac or \\tfrac),\n // account for the possible size change here.\n frac.height *= fstyle.sizeMultiplier / options.style.sizeMultiplier;\n frac.depth *= fstyle.sizeMultiplier / options.style.sizeMultiplier;\n\n // Rule 15e\n var delimSize;\n if (fstyle.size === Style.DISPLAY.size) {\n delimSize = fontMetrics.metrics.delim1;\n } else {\n delimSize = fontMetrics.metrics.getDelim2(fstyle);\n }\n\n var leftDelim;\n var rightDelim;\n if (group.value.leftDelim == null) {\n leftDelim = makeNullDelimiter(options);\n } else {\n leftDelim = delimiter.customSizedDelim(\n group.value.leftDelim, delimSize, true,\n options.withStyle(fstyle), group.mode);\n }\n if (group.value.rightDelim == null) {\n rightDelim = makeNullDelimiter(options);\n } else {\n rightDelim = delimiter.customSizedDelim(\n group.value.rightDelim, delimSize, true,\n options.withStyle(fstyle), group.mode);\n }\n\n return makeSpan(\n [\"mord\", options.style.reset(), fstyle.cls()],\n [leftDelim, makeSpan([\"mfrac\"], [frac]), rightDelim],\n options.getColor());\n};\n\ngroupTypes.array = function(group, options, prev) {\n var r;\n var c;\n var nr = group.value.body.length;\n var nc = 0;\n var body = new Array(nr);\n\n // Horizontal spacing\n var pt = 1 / fontMetrics.metrics.ptPerEm;\n var arraycolsep = 5 * pt; // \\arraycolsep in article.cls\n\n // Vertical spacing\n var baselineskip = 12 * pt; // see size10.clo\n // Default \\arraystretch from lttab.dtx\n // TODO(gagern): may get redefined once we have user-defined macros\n var arraystretch = utils.deflt(group.value.arraystretch, 1);\n var arrayskip = arraystretch * baselineskip;\n var arstrutHeight = 0.7 * arrayskip; // \\strutbox in ltfsstrc.dtx and\n var arstrutDepth = 0.3 * arrayskip; // \\@arstrutbox in lttab.dtx\n\n var totalHeight = 0;\n for (r = 0; r < group.value.body.length; ++r) {\n var inrow = group.value.body[r];\n var height = arstrutHeight; // \\@array adds an \\@arstrut\n var depth = arstrutDepth; // to each tow (via the template)\n\n if (nc < inrow.length) {\n nc = inrow.length;\n }\n\n var outrow = new Array(inrow.length);\n for (c = 0; c < inrow.length; ++c) {\n var elt = buildGroup(inrow[c], options);\n if (depth < elt.depth) {\n depth = elt.depth;\n }\n if (height < elt.height) {\n height = elt.height;\n }\n outrow[c] = elt;\n }\n\n var gap = 0;\n if (group.value.rowGaps[r]) {\n gap = group.value.rowGaps[r].value;\n switch (gap.unit) {\n case \"em\":\n gap = gap.number;\n break;\n case \"ex\":\n gap = gap.number * fontMetrics.metrics.emPerEx;\n break;\n default:\n console.error(\"Can't handle unit \" + gap.unit);\n gap = 0;\n }\n if (gap > 0) { // \\@argarraycr\n gap += arstrutDepth;\n if (depth < gap) {\n depth = gap; // \\@xargarraycr\n }\n gap = 0;\n }\n }\n\n outrow.height = height;\n outrow.depth = depth;\n totalHeight += height;\n outrow.pos = totalHeight;\n totalHeight += depth + gap; // \\@yargarraycr\n body[r] = outrow;\n }\n\n var offset = totalHeight / 2 + fontMetrics.metrics.axisHeight;\n var colDescriptions = group.value.cols || [];\n var cols = [];\n var colSep;\n var colDescrNum;\n for (c = 0, colDescrNum = 0;\n // Continue while either there are more columns or more column\n // descriptions, so trailing separators don't get lost.\n c < nc || colDescrNum < colDescriptions.length;\n ++c, ++colDescrNum) {\n\n var colDescr = colDescriptions[colDescrNum] || {};\n\n var firstSeparator = true;\n while (colDescr.type === \"separator\") {\n // If there is more than one separator in a row, add a space\n // between them.\n if (!firstSeparator) {\n colSep = makeSpan([\"arraycolsep\"], []);\n colSep.style.width =\n fontMetrics.metrics.doubleRuleSep + \"em\";\n cols.push(colSep);\n }\n\n if (colDescr.separator === \"|\") {\n var separator = makeSpan(\n [\"vertical-separator\"],\n []);\n separator.style.height = totalHeight + \"em\";\n separator.style.verticalAlign =\n -(totalHeight - offset) + \"em\";\n\n cols.push(separator);\n } else {\n throw new ParseError(\n \"Invalid separator type: \" + colDescr.separator);\n }\n\n colDescrNum++;\n colDescr = colDescriptions[colDescrNum] || {};\n firstSeparator = false;\n }\n\n if (c >= nc) {\n continue;\n }\n\n var sepwidth;\n if (c > 0 || group.value.hskipBeforeAndAfter) {\n sepwidth = utils.deflt(colDescr.pregap, arraycolsep);\n if (sepwidth !== 0) {\n colSep = makeSpan([\"arraycolsep\"], []);\n colSep.style.width = sepwidth + \"em\";\n cols.push(colSep);\n }\n }\n\n var col = [];\n for (r = 0; r < nr; ++r) {\n var row = body[r];\n var elem = row[c];\n if (!elem) {\n continue;\n }\n var shift = row.pos - offset;\n elem.depth = row.depth;\n elem.height = row.height;\n col.push({type: \"elem\", elem: elem, shift: shift});\n }\n\n col = buildCommon.makeVList(col, \"individualShift\", null, options);\n col = makeSpan(\n [\"col-align-\" + (colDescr.align || \"c\")],\n [col]);\n cols.push(col);\n\n if (c < nc - 1 || group.value.hskipBeforeAndAfter) {\n sepwidth = utils.deflt(colDescr.postgap, arraycolsep);\n if (sepwidth !== 0) {\n colSep = makeSpan([\"arraycolsep\"], []);\n colSep.style.width = sepwidth + \"em\";\n cols.push(colSep);\n }\n }\n }\n body = makeSpan([\"mtable\"], cols);\n return makeSpan([\"mord\"], [body], options.getColor());\n};\n\ngroupTypes.spacing = function(group, options, prev) {\n if (group.value === \"\\\\ \" || group.value === \"\\\\space\" ||\n group.value === \" \" || group.value === \"~\") {\n // Spaces are generated by adding an actual space. Each of these\n // things has an entry in the symbols table, so these will be turned\n // into appropriate outputs.\n return makeSpan(\n [\"mord\", \"mspace\"],\n [buildCommon.mathsym(group.value, group.mode)]\n );\n } else {\n // Other kinds of spaces are of arbitrary width. We use CSS to\n // generate these.\n return makeSpan(\n [\"mord\", \"mspace\",\n buildCommon.spacingFunctions[group.value].className]);\n }\n};\n\ngroupTypes.llap = function(group, options, prev) {\n var inner = makeSpan(\n [\"inner\"], [buildGroup(group.value.body, options.reset())]);\n var fix = makeSpan([\"fix\"], []);\n return makeSpan(\n [\"llap\", options.style.cls()], [inner, fix]);\n};\n\ngroupTypes.rlap = function(group, options, prev) {\n var inner = makeSpan(\n [\"inner\"], [buildGroup(group.value.body, options.reset())]);\n var fix = makeSpan([\"fix\"], []);\n return makeSpan(\n [\"rlap\", options.style.cls()], [inner, fix]);\n};\n\ngroupTypes.op = function(group, options, prev) {\n // Operators are handled in the TeXbook pg. 443-444, rule 13(a).\n var supGroup;\n var subGroup;\n var hasLimits = false;\n if (group.type === \"supsub\" ) {\n // If we have limits, supsub will pass us its group to handle. Pull\n // out the superscript and subscript and set the group to the op in\n // its base.\n supGroup = group.value.sup;\n subGroup = group.value.sub;\n group = group.value.base;\n hasLimits = true;\n }\n\n // Most operators have a large successor symbol, but these don't.\n var noSuccessor = [\n \"\\\\smallint\",\n ];\n\n var large = false;\n if (options.style.size === Style.DISPLAY.size &&\n group.value.symbol &&\n !utils.contains(noSuccessor, group.value.body)) {\n\n // Most symbol operators get larger in displaystyle (rule 13)\n large = true;\n }\n\n var base;\n var baseShift = 0;\n var slant = 0;\n if (group.value.symbol) {\n // If this is a symbol, create the symbol.\n var style = large ? \"Size2-Regular\" : \"Size1-Regular\";\n base = buildCommon.makeSymbol(\n group.value.body, style, \"math\", options.getColor(),\n [\"op-symbol\", large ? \"large-op\" : \"small-op\", \"mop\"]);\n\n // Shift the symbol so its center lies on the axis (rule 13). It\n // appears that our fonts have the centers of the symbols already\n // almost on the axis, so these numbers are very small. Note we\n // don't actually apply this here, but instead it is used either in\n // the vlist creation or separately when there are no limits.\n baseShift = (base.height - base.depth) / 2 -\n fontMetrics.metrics.axisHeight *\n options.style.sizeMultiplier;\n\n // The slant of the symbol is just its italic correction.\n slant = base.italic;\n } else {\n // Otherwise, this is a text operator. Build the text from the\n // operator's name.\n // TODO(emily): Add a space in the middle of some of these\n // operators, like \\limsup\n var output = [];\n for (var i = 1; i < group.value.body.length; i++) {\n output.push(buildCommon.mathsym(group.value.body[i], group.mode));\n }\n base = makeSpan([\"mop\"], output, options.getColor());\n }\n\n if (hasLimits) {\n // IE 8 clips \\int if it is in a display: inline-block. We wrap it\n // in a new span so it is an inline, and works.\n base = makeSpan([], [base]);\n\n var supmid;\n var supKern;\n var submid;\n var subKern;\n // We manually have to handle the superscripts and subscripts. This,\n // aside from the kern calculations, is copied from supsub.\n if (supGroup) {\n var sup = buildGroup(\n supGroup, options.withStyle(options.style.sup()));\n supmid = makeSpan(\n [options.style.reset(), options.style.sup().cls()], [sup]);\n\n supKern = Math.max(\n fontMetrics.metrics.bigOpSpacing1,\n fontMetrics.metrics.bigOpSpacing3 - sup.depth);\n }\n\n if (subGroup) {\n var sub = buildGroup(\n subGroup, options.withStyle(options.style.sub()));\n submid = makeSpan(\n [options.style.reset(), options.style.sub().cls()],\n [sub]);\n\n subKern = Math.max(\n fontMetrics.metrics.bigOpSpacing2,\n fontMetrics.metrics.bigOpSpacing4 - sub.height);\n }\n\n // Build the final group as a vlist of the possible subscript, base,\n // and possible superscript.\n var finalGroup;\n var top;\n var bottom;\n if (!supGroup) {\n top = base.height - baseShift;\n\n finalGroup = buildCommon.makeVList([\n {type: \"kern\", size: fontMetrics.metrics.bigOpSpacing5},\n {type: \"elem\", elem: submid},\n {type: \"kern\", size: subKern},\n {type: \"elem\", elem: base},\n ], \"top\", top, options);\n\n // Here, we shift the limits by the slant of the symbol. Note\n // that we are supposed to shift the limits by 1/2 of the slant,\n // but since we are centering the limits adding a full slant of\n // margin will shift by 1/2 that.\n finalGroup.children[0].style.marginLeft = -slant + \"em\";\n } else if (!subGroup) {\n bottom = base.depth + baseShift;\n\n finalGroup = buildCommon.makeVList([\n {type: \"elem\", elem: base},\n {type: \"kern\", size: supKern},\n {type: \"elem\", elem: supmid},\n {type: \"kern\", size: fontMetrics.metrics.bigOpSpacing5},\n ], \"bottom\", bottom, options);\n\n // See comment above about slants\n finalGroup.children[1].style.marginLeft = slant + \"em\";\n } else if (!supGroup && !subGroup) {\n // This case probably shouldn't occur (this would mean the\n // supsub was sending us a group with no superscript or\n // subscript) but be safe.\n return base;\n } else {\n bottom = fontMetrics.metrics.bigOpSpacing5 +\n submid.height + submid.depth +\n subKern +\n base.depth + baseShift;\n\n finalGroup = buildCommon.makeVList([\n {type: \"kern\", size: fontMetrics.metrics.bigOpSpacing5},\n {type: \"elem\", elem: submid},\n {type: \"kern\", size: subKern},\n {type: \"elem\", elem: base},\n {type: \"kern\", size: supKern},\n {type: \"elem\", elem: supmid},\n {type: \"kern\", size: fontMetrics.metrics.bigOpSpacing5},\n ], \"bottom\", bottom, options);\n\n // See comment above about slants\n finalGroup.children[0].style.marginLeft = -slant + \"em\";\n finalGroup.children[2].style.marginLeft = slant + \"em\";\n }\n\n return makeSpan([\"mop\", \"op-limits\"], [finalGroup]);\n } else {\n if (group.value.symbol) {\n base.style.top = baseShift + \"em\";\n }\n\n return base;\n }\n};\n\ngroupTypes.katex = function(group, options, prev) {\n // The KaTeX logo. The offsets for the K and a were chosen to look\n // good, but the offsets for the T, E, and X were taken from the\n // definition of \\TeX in TeX (see TeXbook pg. 356)\n var k = makeSpan(\n [\"k\"], [buildCommon.mathsym(\"K\", group.mode)]);\n var a = makeSpan(\n [\"a\"], [buildCommon.mathsym(\"A\", group.mode)]);\n\n a.height = (a.height + 0.2) * 0.75;\n a.depth = (a.height - 0.2) * 0.75;\n\n var t = makeSpan(\n [\"t\"], [buildCommon.mathsym(\"T\", group.mode)]);\n var e = makeSpan(\n [\"e\"], [buildCommon.mathsym(\"E\", group.mode)]);\n\n e.height = (e.height - 0.2155);\n e.depth = (e.depth + 0.2155);\n\n var x = makeSpan(\n [\"x\"], [buildCommon.mathsym(\"X\", group.mode)]);\n\n return makeSpan(\n [\"katex-logo\", \"mord\"], [k, a, t, e, x], options.getColor());\n};\n\ngroupTypes.overline = function(group, options, prev) {\n // Overlines are handled in the TeXbook pg 443, Rule 9.\n\n // Build the inner group in the cramped style.\n var innerGroup = buildGroup(group.value.body,\n options.withStyle(options.style.cramp()));\n\n var ruleWidth = fontMetrics.metrics.defaultRuleThickness /\n options.style.sizeMultiplier;\n\n // Create the line above the body\n var line = makeSpan(\n [options.style.reset(), Style.TEXT.cls(), \"overline-line\"]);\n line.height = ruleWidth;\n line.maxFontSize = 1.0;\n\n // Generate the vlist, with the appropriate kerns\n var vlist = buildCommon.makeVList([\n {type: \"elem\", elem: innerGroup},\n {type: \"kern\", size: 3 * ruleWidth},\n {type: \"elem\", elem: line},\n {type: \"kern\", size: ruleWidth},\n ], \"firstBaseline\", null, options);\n\n return makeSpan([\"overline\", \"mord\"], [vlist], options.getColor());\n};\n\ngroupTypes.underline = function(group, options, prev) {\n // Underlines are handled in the TeXbook pg 443, Rule 10.\n\n // Build the inner group.\n var innerGroup = buildGroup(group.value.body, options);\n\n var ruleWidth = fontMetrics.metrics.defaultRuleThickness /\n options.style.sizeMultiplier;\n\n // Create the line above the body\n var line = makeSpan(\n [options.style.reset(), Style.TEXT.cls(), \"underline-line\"]);\n line.height = ruleWidth;\n line.maxFontSize = 1.0;\n\n // Generate the vlist, with the appropriate kerns\n var vlist = buildCommon.makeVList([\n {type: \"kern\", size: ruleWidth},\n {type: \"elem\", elem: line},\n {type: \"kern\", size: 3 * ruleWidth},\n {type: \"elem\", elem: innerGroup},\n ], \"top\", innerGroup.height, options);\n\n return makeSpan([\"underline\", \"mord\"], [vlist], options.getColor());\n};\n\ngroupTypes.sqrt = function(group, options, prev) {\n // Square roots are handled in the TeXbook pg. 443, Rule 11.\n\n // First, we do the same steps as in overline to build the inner group\n // and line\n var inner = buildGroup(group.value.body,\n options.withStyle(options.style.cramp()));\n\n var ruleWidth = fontMetrics.metrics.defaultRuleThickness /\n options.style.sizeMultiplier;\n\n var line = makeSpan(\n [options.style.reset(), Style.TEXT.cls(), \"sqrt-line\"], [],\n options.getColor());\n line.height = ruleWidth;\n line.maxFontSize = 1.0;\n\n var phi = ruleWidth;\n if (options.style.id < Style.TEXT.id) {\n phi = fontMetrics.metrics.xHeight;\n }\n\n // Calculate the clearance between the body and line\n var lineClearance = ruleWidth + phi / 4;\n\n var innerHeight =\n (inner.height + inner.depth) * options.style.sizeMultiplier;\n var minDelimiterHeight = innerHeight + lineClearance + ruleWidth;\n\n // Create a \\surd delimiter of the required minimum size\n var delim = makeSpan([\"sqrt-sign\"], [\n delimiter.customSizedDelim(\"\\\\surd\", minDelimiterHeight,\n false, options, group.mode)],\n options.getColor());\n\n var delimDepth = (delim.height + delim.depth) - ruleWidth;\n\n // Adjust the clearance based on the delimiter size\n if (delimDepth > inner.height + inner.depth + lineClearance) {\n lineClearance =\n (lineClearance + delimDepth - inner.height - inner.depth) / 2;\n }\n\n // Shift the delimiter so that its top lines up with the top of the line\n var delimShift = -(inner.height + lineClearance + ruleWidth) + delim.height;\n delim.style.top = delimShift + \"em\";\n delim.height -= delimShift;\n delim.depth += delimShift;\n\n // We add a special case here, because even when `inner` is empty, we\n // still get a line. So, we use a simple heuristic to decide if we\n // should omit the body entirely. (note this doesn't work for something\n // like `\\sqrt{\\rlap{x}}`, but if someone is doing that they deserve for\n // it not to work.\n var body;\n if (inner.height === 0 && inner.depth === 0) {\n body = makeSpan();\n } else {\n body = buildCommon.makeVList([\n {type: \"elem\", elem: inner},\n {type: \"kern\", size: lineClearance},\n {type: \"elem\", elem: line},\n {type: \"kern\", size: ruleWidth},\n ], \"firstBaseline\", null, options);\n }\n\n if (!group.value.index) {\n return makeSpan([\"sqrt\", \"mord\"], [delim, body]);\n } else {\n // Handle the optional root index\n\n // The index is always in scriptscript style\n var root = buildGroup(\n group.value.index,\n options.withStyle(Style.SCRIPTSCRIPT));\n var rootWrap = makeSpan(\n [options.style.reset(), Style.SCRIPTSCRIPT.cls()],\n [root]);\n\n // Figure out the height and depth of the inner part\n var innerRootHeight = Math.max(delim.height, body.height);\n var innerRootDepth = Math.max(delim.depth, body.depth);\n\n // The amount the index is shifted by. This is taken from the TeX\n // source, in the definition of `\\r@@t`.\n var toShift = 0.6 * (innerRootHeight - innerRootDepth);\n\n // Build a VList with the superscript shifted up correctly\n var rootVList = buildCommon.makeVList(\n [{type: \"elem\", elem: rootWrap}],\n \"shift\", -toShift, options);\n // Add a class surrounding it so we can add on the appropriate\n // kerning\n var rootVListWrap = makeSpan([\"root\"], [rootVList]);\n\n return makeSpan([\"sqrt\", \"mord\"], [rootVListWrap, delim, body]);\n }\n};\n\ngroupTypes.sizing = function(group, options, prev) {\n // Handle sizing operators like \\Huge. Real TeX doesn't actually allow\n // these functions inside of math expressions, so we do some special\n // handling.\n var inner = buildExpression(group.value.value,\n options.withSize(group.value.size), prev);\n\n var span = makeSpan([\"mord\"],\n [makeSpan([\"sizing\", \"reset-\" + options.size, group.value.size,\n options.style.cls()],\n inner)]);\n\n // Calculate the correct maxFontSize manually\n var fontSize = buildCommon.sizingMultiplier[group.value.size];\n span.maxFontSize = fontSize * options.style.sizeMultiplier;\n\n return span;\n};\n\ngroupTypes.styling = function(group, options, prev) {\n // Style changes are handled in the TeXbook on pg. 442, Rule 3.\n\n // Figure out what style we're changing to.\n var style = {\n \"display\": Style.DISPLAY,\n \"text\": Style.TEXT,\n \"script\": Style.SCRIPT,\n \"scriptscript\": Style.SCRIPTSCRIPT,\n };\n\n var newStyle = style[group.value.style];\n\n // Build the inner expression in the new style.\n var inner = buildExpression(\n group.value.value, options.withStyle(newStyle), prev);\n\n return makeSpan([options.style.reset(), newStyle.cls()], inner);\n};\n\ngroupTypes.font = function(group, options, prev) {\n var font = group.value.font;\n return buildGroup(group.value.body, options.withFont(font), prev);\n};\n\ngroupTypes.delimsizing = function(group, options, prev) {\n var delim = group.value.value;\n\n if (delim === \".\") {\n // Empty delimiters still count as elements, even though they don't\n // show anything.\n return makeSpan([groupToType[group.value.delimType]]);\n }\n\n // Use delimiter.sizedDelim to generate the delimiter.\n return makeSpan(\n [groupToType[group.value.delimType]],\n [delimiter.sizedDelim(\n delim, group.value.size, options, group.mode)]);\n};\n\ngroupTypes.leftright = function(group, options, prev) {\n // Build the inner expression\n var inner = buildExpression(group.value.body, options.reset());\n\n var innerHeight = 0;\n var innerDepth = 0;\n\n // Calculate its height and depth\n for (var i = 0; i < inner.length; i++) {\n innerHeight = Math.max(inner[i].height, innerHeight);\n innerDepth = Math.max(inner[i].depth, innerDepth);\n }\n\n // The size of delimiters is the same, regardless of what style we are\n // in. Thus, to correctly calculate the size of delimiter we need around\n // a group, we scale down the inner size based on the size.\n innerHeight *= options.style.sizeMultiplier;\n innerDepth *= options.style.sizeMultiplier;\n\n var leftDelim;\n if (group.value.left === \".\") {\n // Empty delimiters in \\left and \\right make null delimiter spaces.\n leftDelim = makeNullDelimiter(options);\n } else {\n // Otherwise, use leftRightDelim to generate the correct sized\n // delimiter.\n leftDelim = delimiter.leftRightDelim(\n group.value.left, innerHeight, innerDepth, options,\n group.mode);\n }\n // Add it to the beginning of the expression\n inner.unshift(leftDelim);\n\n var rightDelim;\n // Same for the right delimiter\n if (group.value.right === \".\") {\n rightDelim = makeNullDelimiter(options);\n } else {\n rightDelim = delimiter.leftRightDelim(\n group.value.right, innerHeight, innerDepth, options,\n group.mode);\n }\n // Add it to the end of the expression.\n inner.push(rightDelim);\n\n return makeSpan(\n [\"minner\", options.style.cls()], inner, options.getColor());\n};\n\ngroupTypes.rule = function(group, options, prev) {\n // Make an empty span for the rule\n var rule = makeSpan([\"mord\", \"rule\"], [], options.getColor());\n\n // Calculate the shift, width, and height of the rule, and account for units\n var shift = 0;\n if (group.value.shift) {\n shift = group.value.shift.number;\n if (group.value.shift.unit === \"ex\") {\n shift *= fontMetrics.metrics.xHeight;\n }\n }\n\n var width = group.value.width.number;\n if (group.value.width.unit === \"ex\") {\n width *= fontMetrics.metrics.xHeight;\n }\n\n var height = group.value.height.number;\n if (group.value.height.unit === \"ex\") {\n height *= fontMetrics.metrics.xHeight;\n }\n\n // The sizes of rules are absolute, so make it larger if we are in a\n // smaller style.\n shift /= options.style.sizeMultiplier;\n width /= options.style.sizeMultiplier;\n height /= options.style.sizeMultiplier;\n\n // Style the rule to the right size\n rule.style.borderRightWidth = width + \"em\";\n rule.style.borderTopWidth = height + \"em\";\n rule.style.bottom = shift + \"em\";\n\n // Record the height and width\n rule.width = width;\n rule.height = height + shift;\n rule.depth = -shift;\n\n return rule;\n};\n\ngroupTypes.accent = function(group, options, prev) {\n // Accents are handled in the TeXbook pg. 443, rule 12.\n var base = group.value.base;\n\n var supsubGroup;\n if (group.type === \"supsub\") {\n // If our base is a character box, and we have superscripts and\n // subscripts, the supsub will defer to us. In particular, we want\n // to attach the superscripts and subscripts to the inner body (so\n // that the position of the superscripts and subscripts won't be\n // affected by the height of the accent). We accomplish this by\n // sticking the base of the accent into the base of the supsub, and\n // rendering that, while keeping track of where the accent is.\n\n // The supsub group is the group that was passed in\n var supsub = group;\n // The real accent group is the base of the supsub group\n group = supsub.value.base;\n // The character box is the base of the accent group\n base = group.value.base;\n // Stick the character box into the base of the supsub group\n supsub.value.base = base;\n\n // Rerender the supsub group with its new base, and store that\n // result.\n supsubGroup = buildGroup(\n supsub, options.reset(), prev);\n }\n\n // Build the base group\n var body = buildGroup(\n base, options.withStyle(options.style.cramp()));\n\n // Calculate the skew of the accent. This is based on the line \"If the\n // nucleus is not a single character, let s = 0; otherwise set s to the\n // kern amount for the nucleus followed by the \\skewchar of its font.\"\n // Note that our skew metrics are just the kern between each character\n // and the skewchar.\n var skew;\n if (isCharacterBox(base)) {\n // If the base is a character box, then we want the skew of the\n // innermost character. To do that, we find the innermost character:\n var baseChar = getBaseElem(base);\n // Then, we render its group to get the symbol inside it\n var baseGroup = buildGroup(\n baseChar, options.withStyle(options.style.cramp()));\n // Finally, we pull the skew off of the symbol.\n skew = baseGroup.skew;\n // Note that we now throw away baseGroup, because the layers we\n // removed with getBaseElem might contain things like \\color which\n // we can't get rid of.\n // TODO(emily): Find a better way to get the skew\n } else {\n skew = 0;\n }\n\n // calculate the amount of space between the body and the accent\n var clearance = Math.min(body.height, fontMetrics.metrics.xHeight);\n\n // Build the accent\n var accent = buildCommon.makeSymbol(\n group.value.accent, \"Main-Regular\", \"math\", options.getColor());\n // Remove the italic correction of the accent, because it only serves to\n // shift the accent over to a place we don't want.\n accent.italic = 0;\n\n // The \\vec character that the fonts use is a combining character, and\n // thus shows up much too far to the left. To account for this, we add a\n // specific class which shifts the accent over to where we want it.\n // TODO(emily): Fix this in a better way, like by changing the font\n var vecClass = group.value.accent === \"\\\\vec\" ? \"accent-vec\" : null;\n\n var accentBody = makeSpan([\"accent-body\", vecClass], [\n makeSpan([], [accent])]);\n\n accentBody = buildCommon.makeVList([\n {type: \"elem\", elem: body},\n {type: \"kern\", size: -clearance},\n {type: \"elem\", elem: accentBody},\n ], \"firstBaseline\", null, options);\n\n // Shift the accent over by the skew. Note we shift by twice the skew\n // because we are centering the accent, so by adding 2*skew to the left,\n // we shift it to the right by 1*skew.\n accentBody.children[1].style.marginLeft = 2 * skew + \"em\";\n\n var accentWrap = makeSpan([\"mord\", \"accent\"], [accentBody]);\n\n if (supsubGroup) {\n // Here, we replace the \"base\" child of the supsub with our newly\n // generated accent.\n supsubGroup.children[0] = accentWrap;\n\n // Since we don't rerun the height calculation after replacing the\n // accent, we manually recalculate height.\n supsubGroup.height = Math.max(accentWrap.height, supsubGroup.height);\n\n // Accents should always be ords, even when their innards are not.\n supsubGroup.classes[0] = \"mord\";\n\n return supsubGroup;\n } else {\n return accentWrap;\n }\n};\n\ngroupTypes.phantom = function(group, options, prev) {\n var elements = buildExpression(\n group.value.value,\n options.withPhantom(),\n prev\n );\n\n // \\phantom isn't supposed to affect the elements it contains.\n // See \"color\" for more details.\n return new buildCommon.makeFragment(elements);\n};\n\n/**\n * buildGroup is the function that takes a group and calls the correct groupType\n * function for it. It also handles the interaction of size and style changes\n * between parents and children.\n */\nvar buildGroup = function(group, options, prev) {\n if (!group) {\n return makeSpan();\n }\n\n if (groupTypes[group.type]) {\n // Call the groupTypes function\n var groupNode = groupTypes[group.type](group, options, prev);\n var multiplier;\n\n // If the style changed between the parent and the current group,\n // account for the size difference\n if (options.style !== options.parentStyle) {\n multiplier = options.style.sizeMultiplier /\n options.parentStyle.sizeMultiplier;\n\n groupNode.height *= multiplier;\n groupNode.depth *= multiplier;\n }\n\n // If the size changed between the parent and the current group, account\n // for that size difference.\n if (options.size !== options.parentSize) {\n multiplier = buildCommon.sizingMultiplier[options.size] /\n buildCommon.sizingMultiplier[options.parentSize];\n\n groupNode.height *= multiplier;\n groupNode.depth *= multiplier;\n }\n\n return groupNode;\n } else {\n throw new ParseError(\n \"Got group of unknown type: '\" + group.type + \"'\");\n }\n};\n\n/**\n * Take an entire parse tree, and build it into an appropriate set of HTML\n * nodes.\n */\nvar buildHTML = function(tree, options) {\n // buildExpression is destructive, so we need to make a clone\n // of the incoming tree so that it isn't accidentally changed\n tree = JSON.parse(JSON.stringify(tree));\n\n // Build the expression contained in the tree\n var expression = buildExpression(tree, options);\n var body = makeSpan([\"base\", options.style.cls()], expression);\n\n // Add struts, which ensure that the top of the HTML element falls at the\n // height of the expression, and the bottom of the HTML element falls at the\n // depth of the expression.\n var topStrut = makeSpan([\"strut\"]);\n var bottomStrut = makeSpan([\"strut\", \"bottom\"]);\n\n topStrut.style.height = body.height + \"em\";\n bottomStrut.style.height = (body.height + body.depth) + \"em\";\n // We'd like to use `vertical-align: top` but in IE 9 this lowers the\n // baseline of the box to the bottom of this strut (instead staying in the\n // normal place) so we use an absolute value for vertical-align instead\n bottomStrut.style.verticalAlign = -body.depth + \"em\";\n\n // Wrap the struts and body together\n var htmlNode = makeSpan([\"katex-html\"], [topStrut, bottomStrut, body]);\n\n htmlNode.setAttribute(\"aria-hidden\", \"true\");\n\n return htmlNode;\n};\n\nmodule.exports = buildHTML;\n"
},
{
"path": "pix2tex/dataset/preprocessing/third_party/katex/src/buildMathML.js",
"content": "/**\n * This file converts a parse tree into a cooresponding MathML tree. The main\n * entry point is the `buildMathML` function, which takes a parse tree from the\n * parser.\n */\n\nvar buildCommon = require(\"./buildCommon\");\nvar fontMetrics = require(\"./fontMetrics\");\nvar mathMLTree = require(\"./mathMLTree\");\nvar ParseError = require(\"./ParseError\");\nvar symbols = require(\"./symbols\");\nvar utils = require(\"./utils\");\n\nvar makeSpan = buildCommon.makeSpan;\nvar fontMap = buildCommon.fontMap;\n\n/**\n * Takes a symbol and converts it into a MathML text node after performing\n * optional replacement from symbols.js.\n */\nvar makeText = function(text, mode) {\n if (symbols[mode][text] && symbols[mode][text].replace) {\n text = symbols[mode][text].replace;\n }\n\n return new mathMLTree.TextNode(text);\n};\n\n/**\n * Returns the math variant as a string or null if none is required.\n */\nvar getVariant = function(group, options) {\n var font = options.font;\n if (!font) {\n return null;\n }\n\n var mode = group.mode;\n if (font === \"mathit\") {\n return \"italic\";\n }\n\n var value = group.value;\n if (utils.contains([\"\\\\imath\", \"\\\\jmath\"], value)) {\n return null;\n }\n\n if (symbols[mode][value] && symbols[mode][value].replace) {\n value = symbols[mode][value].replace;\n }\n\n var fontName = fontMap[font].fontName;\n if (fontMetrics.getCharacterMetrics(value, fontName)) {\n return fontMap[options.font].variant;\n }\n\n return null;\n};\n\n/**\n * Functions for handling the different types of groups found in the parse\n * tree. Each function should take a parse group and return a MathML node.\n */\nvar groupTypes = {};\n\ngroupTypes.mathord = function(group, options) {\n var node = new mathMLTree.MathNode(\n \"mi\",\n [makeText(group.value, group.mode)]);\n\n var variant = getVariant(group, options);\n if (variant) {\n node.setAttribute(\"mathvariant\", variant);\n }\n return node;\n};\n\ngroupTypes.textord = function(group, options) {\n var text = makeText(group.value, group.mode);\n\n var variant = getVariant(group, options) || \"normal\";\n\n var node;\n if (/[0-9]/.test(group.value)) {\n // TODO(kevinb) merge adjacent nodes\n // do it as a post processing step\n node = new mathMLTree.MathNode(\"mn\", [text]);\n if (options.font) {\n node.setAttribute(\"mathvariant\", variant);\n }\n } else {\n node = new mathMLTree.MathNode(\"mi\", [text]);\n node.setAttribute(\"mathvariant\", variant);\n }\n\n return node;\n};\n\ngroupTypes.bin = function(group) {\n var node = new mathMLTree.MathNode(\n \"mo\", [makeText(group.value, group.mode)]);\n\n return node;\n};\n\ngroupTypes.rel = function(group) {\n var node = new mathMLTree.MathNode(\n \"mo\", [makeText(group.value, group.mode)]);\n\n return node;\n};\n\ngroupTypes.open = function(group) {\n var node = new mathMLTree.MathNode(\n \"mo\", [makeText(group.value, group.mode)]);\n\n return node;\n};\n\ngroupTypes.close = function(group) {\n var node = new mathMLTree.MathNode(\n \"mo\", [makeText(group.value, group.mode)]);\n\n return node;\n};\n\ngroupTypes.inner = function(group) {\n var node = new mathMLTree.MathNode(\n \"mo\", [makeText(group.value, group.mode)]);\n\n return node;\n};\n\ngroupTypes.punct = function(group) {\n var node = new mathMLTree.MathNode(\n \"mo\", [makeText(group.value, group.mode)]);\n\n node.setAttribute(\"separator\", \"true\");\n\n return node;\n};\n\ngroupTypes.ordgroup = function(group, options) {\n var inner = buildExpression(group.value, options);\n\n var node = new mathMLTree.MathNode(\"mrow\", inner);\n\n return node;\n};\n\ngroupTypes.text = function(group, options) {\n var inner = buildExpression(group.value.body, options);\n\n var node = new mathMLTree.MathNode(\"mtext\", inner);\n\n return node;\n};\n\ngroupTypes.color = function(group, options) {\n var inner = buildExpression(group.value.value, options);\n\n var node = new mathMLTree.MathNode(\"mstyle\", inner);\n\n node.setAttribute(\"mathcolor\", group.value.color);\n\n return node;\n};\n\ngroupTypes.supsub = function(group, options) {\n var children = [buildGroup(group.value.base, options)];\n\n if (group.value.sub) {\n children.push(buildGroup(group.value.sub, options));\n }\n\n if (group.value.sup) {\n children.push(buildGroup(group.value.sup, options));\n }\n\n var nodeType;\n if (!group.value.sub) {\n nodeType = \"msup\";\n } else if (!group.value.sup) {\n nodeType = \"msub\";\n } else {\n nodeType = \"msubsup\";\n }\n\n var node = new mathMLTree.MathNode(nodeType, children);\n\n return node;\n};\n\ngroupTypes.genfrac = function(group, options) {\n var node = new mathMLTree.MathNode(\n \"mfrac\",\n [buildGroup(group.value.numer, options),\n buildGroup(group.value.denom, options)]);\n\n if (!group.value.hasBarLine) {\n node.setAttribute(\"linethickness\", \"0px\");\n }\n\n if (group.value.leftDelim != null || group.value.rightDelim != null) {\n var withDelims = [];\n\n if (group.value.leftDelim != null) {\n var leftOp = new mathMLTree.MathNode(\n \"mo\", [new mathMLTree.TextNode(group.value.leftDelim)]);\n\n leftOp.setAttribute(\"fence\", \"true\");\n\n withDelims.push(leftOp);\n }\n\n withDelims.push(node);\n\n if (group.value.rightDelim != null) {\n var rightOp = new mathMLTree.MathNode(\n \"mo\", [new mathMLTree.TextNode(group.value.rightDelim)]);\n\n rightOp.setAttribute(\"fence\", \"true\");\n\n withDelims.push(rightOp);\n }\n\n var outerNode = new mathMLTree.MathNode(\"mrow\", withDelims);\n\n return outerNode;\n }\n\n return node;\n};\n\ngroupTypes.array = function(group, options) {\n return new mathMLTree.MathNode(\n \"mtable\", group.value.body.map(function(row) {\n return new mathMLTree.MathNode(\n \"mtr\", row.map(function(cell) {\n return new mathMLTree.MathNode(\n \"mtd\", [buildGroup(cell, options)]);\n }));\n }));\n};\n\ngroupTypes.sqrt = function(group, options) {\n var node;\n if (group.value.index) {\n node = new mathMLTree.MathNode(\n \"mroot\", [\n buildGroup(group.value.body, options),\n buildGroup(group.value.index, options),\n ]);\n } else {\n node = new mathMLTree.MathNode(\n \"msqrt\", [buildGroup(group.value.body, options)]);\n }\n\n return node;\n};\n\ngroupTypes.leftright = function(group, options) {\n var inner = buildExpression(group.value.body, options);\n\n if (group.value.left !== \".\") {\n var leftNode = new mathMLTree.MathNode(\n \"mo\", [makeText(group.value.left, group.mode)]);\n\n leftNode.setAttribute(\"fence\", \"true\");\n\n inner.unshift(leftNode);\n }\n\n if (group.value.right !== \".\") {\n var rightNode = new mathMLTree.MathNode(\n \"mo\", [makeText(group.value.right, group.mode)]);\n\n rightNode.setAttribute(\"fence\", \"true\");\n\n inner.push(rightNode);\n }\n\n var outerNode = new mathMLTree.MathNode(\"mrow\", inner);\n\n return outerNode;\n};\n\ngroupTypes.accent = function(group, options) {\n var accentNode = new mathMLTree.MathNode(\n \"mo\", [makeText(group.value.accent, group.mode)]);\n\n var node = new mathMLTree.MathNode(\n \"mover\",\n [buildGroup(group.value.base, options),\n accentNode]);\n\n node.setAttribute(\"accent\", \"true\");\n\n return node;\n};\n\ngroupTypes.spacing = function(group) {\n var node;\n\n if (group.value === \"\\\\ \" || group.value === \"\\\\space\" ||\n group.value === \" \" || group.value === \"~\") {\n node = new mathMLTree.MathNode(\n \"mtext\", [new mathMLTree.TextNode(\"\\u00a0\")]);\n } else {\n node = new mathMLTree.MathNode(\"mspace\");\n\n node.setAttribute(\n \"width\", buildCommon.spacingFunctions[group.value].size);\n }\n\n return node;\n};\n\ngroupTypes.op = function(group) {\n var node;\n\n // TODO(emily): handle big operators using the `largeop` attribute\n\n if (group.value.symbol) {\n // This is a symbol. Just add the symbol.\n node = new mathMLTree.MathNode(\n \"mo\", [makeText(group.value.body, group.mode)]);\n } else {\n // This is a text operator. Add all of the characters from the\n // operator's name.\n // TODO(emily): Add a space in the middle of some of these\n // operators, like \\limsup.\n node = new mathMLTree.MathNode(\n \"mi\", [new mathMLTree.TextNode(group.value.body.slice(1))]);\n }\n\n return node;\n};\n\ngroupTypes.katex = function(group) {\n var node = new mathMLTree.MathNode(\n \"mtext\", [new mathMLTree.TextNode(\"KaTeX\")]);\n\n return node;\n};\n\ngroupTypes.font = function(group, options) {\n var font = group.value.font;\n return buildGroup(group.value.body, options.withFont(font));\n};\n\ngroupTypes.delimsizing = function(group) {\n var children = [];\n\n if (group.value.value !== \".\") {\n children.push(makeText(group.value.value, group.mode));\n }\n\n var node = new mathMLTree.MathNode(\"mo\", children);\n\n if (group.value.delimType === \"open\" ||\n group.value.delimType === \"close\") {\n // Only some of the delimsizing functions act as fences, and they\n // return \"open\" or \"close\" delimTypes.\n node.setAttribute(\"fence\", \"true\");\n } else {\n // Explicitly disable fencing if it's not a fence, to override the\n // defaults.\n node.setAttribute(\"fence\", \"false\");\n }\n\n return node;\n};\n\ngroupTypes.styling = function(group, options) {\n var inner = buildExpression(group.value.value, options);\n\n var node = new mathMLTree.MathNode(\"mstyle\", inner);\n\n var styleAttributes = {\n \"display\": [\"0\", \"true\"],\n \"text\": [\"0\", \"false\"],\n \"script\": [\"1\", \"false\"],\n \"scriptscript\": [\"2\", \"false\"],\n };\n\n var attr = styleAttributes[group.value.style];\n\n node.setAttribute(\"scriptlevel\", attr[0]);\n node.setAttribute(\"displaystyle\", attr[1]);\n\n return node;\n};\n\ngroupTypes.sizing = function(group, options) {\n var inner = buildExpression(group.value.value, options);\n\n var node = new mathMLTree.MathNode(\"mstyle\", inner);\n\n // TODO(emily): This doesn't produce the correct size for nested size\n // changes, because we don't keep state of what style we're currently\n // in, so we can't reset the size to normal before changing it. Now\n // that we're passing an options parameter we should be able to fix\n // this.\n node.setAttribute(\n \"mathsize\", buildCommon.sizingMultiplier[group.value.size] + \"em\");\n\n return node;\n};\n\ngroupTypes.overline = function(group, options) {\n var operator = new mathMLTree.MathNode(\n \"mo\", [new mathMLTree.TextNode(\"\\u203e\")]);\n operator.setAttribute(\"stretchy\", \"true\");\n\n var node = new mathMLTree.MathNode(\n \"mover\",\n [buildGroup(group.value.body, options),\n operator]);\n node.setAttribute(\"accent\", \"true\");\n\n return node;\n};\n\ngroupTypes.underline = function(group, options) {\n var operator = new mathMLTree.MathNode(\n \"mo\", [new mathMLTree.TextNode(\"\\u203e\")]);\n operator.setAttribute(\"stretchy\", \"true\");\n\n var node = new mathMLTree.MathNode(\n \"munder\",\n [buildGroup(group.value.body, options),\n operator]);\n node.setAttribute(\"accentunder\", \"true\");\n\n return node;\n};\n\ngroupTypes.rule = function(group) {\n // TODO(emily): Figure out if there's an actual way to draw black boxes\n // in MathML.\n var node = new mathMLTree.MathNode(\"mrow\");\n\n return node;\n};\n\ngroupTypes.llap = function(group, options) {\n var node = new mathMLTree.MathNode(\n \"mpadded\", [buildGroup(group.value.body, options)]);\n\n node.setAttribute(\"lspace\", \"-1width\");\n node.setAttribute(\"width\", \"0px\");\n\n return node;\n};\n\ngroupTypes.rlap = function(group, options) {\n var node = new mathMLTree.MathNode(\n \"mpadded\", [buildGroup(group.value.body, options)]);\n\n node.setAttribute(\"width\", \"0px\");\n\n return node;\n};\n\ngroupTypes.phantom = function(group, options, prev) {\n var inner = buildExpression(group.value.value, options);\n return new mathMLTree.MathNode(\"mphantom\", inner);\n};\n\n/**\n * Takes a list of nodes, builds them, and returns a list of the generated\n * MathML nodes. A little simpler than the HTML version because we don't do any\n * previous-node handling.\n */\nvar buildExpression = function(expression, options) {\n var groups = [];\n for (var i = 0; i < expression.length; i++) {\n var group = expression[i];\n groups.push(buildGroup(group, options));\n }\n return groups;\n};\n\n/**\n * Takes a group from the parser and calls the appropriate groupTypes function\n * on it to produce a MathML node.\n */\nvar buildGroup = function(group, options) {\n if (!group) {\n return new mathMLTree.MathNode(\"mrow\");\n }\n\n if (groupTypes[group.type]) {\n // Call the groupTypes function\n return groupTypes[group.type](group, options);\n } else {\n throw new ParseError(\n \"Got group of unknown type: '\" + group.type + \"'\");\n }\n};\n\n/**\n * Takes a full parse tree and settings and builds a MathML representation of\n * it. In particular, we put the elements from building the parse tree into a\n * tag so we can also include that TeX source as an annotation.\n *\n * Note that we actually return a domTree element with a `` inside it so\n * we can do appropriate styling.\n */\nvar buildMathML = function(tree, texExpression, options) {\n var expression = buildExpression(tree, options);\n\n // Wrap up the expression in an mrow so it is presented in the semantics\n // tag correctly.\n var wrapper = new mathMLTree.MathNode(\"mrow\", expression);\n\n // Build a TeX annotation of the source\n var annotation = new mathMLTree.MathNode(\n \"annotation\", [new mathMLTree.TextNode(texExpression)]);\n\n annotation.setAttribute(\"encoding\", \"application/x-tex\");\n\n var semantics = new mathMLTree.MathNode(\n \"semantics\", [wrapper, annotation]);\n\n var math = new mathMLTree.MathNode(\"math\", [semantics]);\n\n // You can't style nodes, so we wrap the node in a span.\n return makeSpan([\"katex-mathml\"], [math]);\n};\n\nmodule.exports = buildMathML;\n"
},
{
"path": "pix2tex/dataset/preprocessing/third_party/katex/src/buildTree.js",
"content": "var buildHTML = require(\"./buildHTML\");\nvar buildMathML = require(\"./buildMathML\");\nvar buildCommon = require(\"./buildCommon\");\nvar Options = require(\"./Options\");\nvar Settings = require(\"./Settings\");\nvar Style = require(\"./Style\");\n\nvar makeSpan = buildCommon.makeSpan;\n\nvar buildTree = function(tree, expression, settings) {\n settings = settings || new Settings({});\n\n var startStyle = Style.TEXT;\n if (settings.displayMode) {\n startStyle = Style.DISPLAY;\n }\n\n // Setup the default options\n var options = new Options({\n style: startStyle,\n size: \"size5\",\n });\n\n // `buildHTML` sometimes messes with the parse tree (like turning bins ->\n // ords), so we build the MathML version first.\n var mathMLNode = buildMathML(tree, expression, options);\n var htmlNode = buildHTML(tree, options);\n\n var katexNode = makeSpan([\"katex\"], [\n mathMLNode, htmlNode,\n ]);\n\n if (settings.displayMode) {\n return makeSpan([\"katex-display\"], [katexNode]);\n } else {\n return katexNode;\n }\n};\n\nmodule.exports = buildTree;\n"
},
{
"path": "pix2tex/dataset/preprocessing/third_party/katex/src/delimiter.js",
"content": "/**\n * This file deals with creating delimiters of various sizes. The TeXbook\n * discusses these routines on page 441-442, in the \"Another subroutine sets box\n * x to a specified variable delimiter\" paragraph.\n *\n * There are three main routines here. `makeSmallDelim` makes a delimiter in the\n * normal font, but in either text, script, or scriptscript style.\n * `makeLargeDelim` makes a delimiter in textstyle, but in one of the Size1,\n * Size2, Size3, or Size4 fonts. `makeStackedDelim` makes a delimiter out of\n * smaller pieces that are stacked on top of one another.\n *\n * The functions take a parameter `center`, which determines if the delimiter\n * should be centered around the axis.\n *\n * Then, there are three exposed functions. `sizedDelim` makes a delimiter in\n * one of the given sizes. This is used for things like `\\bigl`.\n * `customSizedDelim` makes a delimiter with a given total height+depth. It is\n * called in places like `\\sqrt`. `leftRightDelim` makes an appropriate\n * delimiter which surrounds an expression of a given height an depth. It is\n * used in `\\left` and `\\right`.\n */\n\nvar ParseError = require(\"./ParseError\");\nvar Style = require(\"./Style\");\n\nvar buildCommon = require(\"./buildCommon\");\nvar fontMetrics = require(\"./fontMetrics\");\nvar symbols = require(\"./symbols\");\nvar utils = require(\"./utils\");\n\nvar makeSpan = buildCommon.makeSpan;\n\n/**\n * Get the metrics for a given symbol and font, after transformation (i.e.\n * after following replacement from symbols.js)\n */\nvar getMetrics = function(symbol, font) {\n if (symbols.math[symbol] && symbols.math[symbol].replace) {\n return fontMetrics.getCharacterMetrics(\n symbols.math[symbol].replace, font);\n } else {\n return fontMetrics.getCharacterMetrics(\n symbol, font);\n }\n};\n\n/**\n * Builds a symbol in the given font size (note size is an integer)\n */\nvar mathrmSize = function(value, size, mode) {\n return buildCommon.makeSymbol(value, \"Size\" + size + \"-Regular\", mode);\n};\n\n/**\n * Puts a delimiter span in a given style, and adds appropriate height, depth,\n * and maxFontSizes.\n */\nvar styleWrap = function(delim, toStyle, options) {\n var span = makeSpan(\n [\"style-wrap\", options.style.reset(), toStyle.cls()], [delim]);\n\n var multiplier = toStyle.sizeMultiplier / options.style.sizeMultiplier;\n\n span.height *= multiplier;\n span.depth *= multiplier;\n span.maxFontSize = toStyle.sizeMultiplier;\n\n return span;\n};\n\n/**\n * Makes a small delimiter. This is a delimiter that comes in the Main-Regular\n * font, but is restyled to either be in textstyle, scriptstyle, or\n * scriptscriptstyle.\n */\nvar makeSmallDelim = function(delim, style, center, options, mode) {\n var text = buildCommon.makeSymbol(delim, \"Main-Regular\", mode);\n\n var span = styleWrap(text, style, options);\n\n if (center) {\n var shift =\n (1 - options.style.sizeMultiplier / style.sizeMultiplier) *\n fontMetrics.metrics.axisHeight;\n\n span.style.top = shift + \"em\";\n span.height -= shift;\n span.depth += shift;\n }\n\n return span;\n};\n\n/**\n * Makes a large delimiter. This is a delimiter that comes in the Size1, Size2,\n * Size3, or Size4 fonts. It is always rendered in textstyle.\n */\nvar makeLargeDelim = function(delim, size, center, options, mode) {\n var inner = mathrmSize(delim, size, mode);\n\n var span = styleWrap(\n makeSpan([\"delimsizing\", \"size\" + size],\n [inner], options.getColor()),\n Style.TEXT, options);\n\n if (center) {\n var shift = (1 - options.style.sizeMultiplier) *\n fontMetrics.metrics.axisHeight;\n\n span.style.top = shift + \"em\";\n span.height -= shift;\n span.depth += shift;\n }\n\n return span;\n};\n\n/**\n * Make an inner span with the given offset and in the given font. This is used\n * in `makeStackedDelim` to make the stacking pieces for the delimiter.\n */\nvar makeInner = function(symbol, font, mode) {\n var sizeClass;\n // Apply the correct CSS class to choose the right font.\n if (font === \"Size1-Regular\") {\n sizeClass = \"delim-size1\";\n } else if (font === \"Size4-Regular\") {\n sizeClass = \"delim-size4\";\n }\n\n var inner = makeSpan(\n [\"delimsizinginner\", sizeClass],\n [makeSpan([], [buildCommon.makeSymbol(symbol, font, mode)])]);\n\n // Since this will be passed into `makeVList` in the end, wrap the element\n // in the appropriate tag that VList uses.\n return {type: \"elem\", elem: inner};\n};\n\n/**\n * Make a stacked delimiter out of a given delimiter, with the total height at\n * least `heightTotal`. This routine is mentioned on page 442 of the TeXbook.\n */\nvar makeStackedDelim = function(delim, heightTotal, center, options, mode) {\n // There are four parts, the top, an optional middle, a repeated part, and a\n // bottom.\n var top;\n var middle;\n var repeat;\n var bottom;\n top = repeat = bottom = delim;\n middle = null;\n // Also keep track of what font the delimiters are in\n var font = \"Size1-Regular\";\n\n // We set the parts and font based on the symbol. Note that we use\n // '\\u23d0' instead of '|' and '\\u2016' instead of '\\\\|' for the\n // repeats of the arrows\n if (delim === \"\\\\uparrow\") {\n repeat = bottom = \"\\u23d0\";\n } else if (delim === \"\\\\Uparrow\") {\n repeat = bottom = \"\\u2016\";\n } else if (delim === \"\\\\downarrow\") {\n top = repeat = \"\\u23d0\";\n } else if (delim === \"\\\\Downarrow\") {\n top = repeat = \"\\u2016\";\n } else if (delim === \"\\\\updownarrow\") {\n top = \"\\\\uparrow\";\n repeat = \"\\u23d0\";\n bottom = \"\\\\downarrow\";\n } else if (delim === \"\\\\Updownarrow\") {\n top = \"\\\\Uparrow\";\n repeat = \"\\u2016\";\n bottom = \"\\\\Downarrow\";\n } else if (delim === \"[\" || delim === \"\\\\lbrack\") {\n top = \"\\u23a1\";\n repeat = \"\\u23a2\";\n bottom = \"\\u23a3\";\n font = \"Size4-Regular\";\n } else if (delim === \"]\" || delim === \"\\\\rbrack\") {\n top = \"\\u23a4\";\n repeat = \"\\u23a5\";\n bottom = \"\\u23a6\";\n font = \"Size4-Regular\";\n } else if (delim === \"\\\\lfloor\") {\n repeat = top = \"\\u23a2\";\n bottom = \"\\u23a3\";\n font = \"Size4-Regular\";\n } else if (delim === \"\\\\lceil\") {\n top = \"\\u23a1\";\n repeat = bottom = \"\\u23a2\";\n font = \"Size4-Regular\";\n } else if (delim === \"\\\\rfloor\") {\n repeat = top = \"\\u23a5\";\n bottom = \"\\u23a6\";\n font = \"Size4-Regular\";\n } else if (delim === \"\\\\rceil\") {\n top = \"\\u23a4\";\n repeat = bottom = \"\\u23a5\";\n font = \"Size4-Regular\";\n } else if (delim === \"(\") {\n top = \"\\u239b\";\n repeat = \"\\u239c\";\n bottom = \"\\u239d\";\n font = \"Size4-Regular\";\n } else if (delim === \")\") {\n top = \"\\u239e\";\n repeat = \"\\u239f\";\n bottom = \"\\u23a0\";\n font = \"Size4-Regular\";\n } else if (delim === \"\\\\{\" || delim === \"\\\\lbrace\") {\n top = \"\\u23a7\";\n middle = \"\\u23a8\";\n bottom = \"\\u23a9\";\n repeat = \"\\u23aa\";\n font = \"Size4-Regular\";\n } else if (delim === \"\\\\}\" || delim === \"\\\\rbrace\") {\n top = \"\\u23ab\";\n middle = \"\\u23ac\";\n bottom = \"\\u23ad\";\n repeat = \"\\u23aa\";\n font = \"Size4-Regular\";\n } else if (delim === \"\\\\lgroup\") {\n top = \"\\u23a7\";\n bottom = \"\\u23a9\";\n repeat = \"\\u23aa\";\n font = \"Size4-Regular\";\n } else if (delim === \"\\\\rgroup\") {\n top = \"\\u23ab\";\n bottom = \"\\u23ad\";\n repeat = \"\\u23aa\";\n font = \"Size4-Regular\";\n } else if (delim === \"\\\\lmoustache\") {\n top = \"\\u23a7\";\n bottom = \"\\u23ad\";\n repeat = \"\\u23aa\";\n font = \"Size4-Regular\";\n } else if (delim === \"\\\\rmoustache\") {\n top = \"\\u23ab\";\n bottom = \"\\u23a9\";\n repeat = \"\\u23aa\";\n font = \"Size4-Regular\";\n } else if (delim === \"\\\\surd\") {\n top = \"\\ue001\";\n bottom = \"\\u23b7\";\n repeat = \"\\ue000\";\n font = \"Size4-Regular\";\n }\n\n // Get the metrics of the four sections\n var topMetrics = getMetrics(top, font);\n var topHeightTotal = topMetrics.height + topMetrics.depth;\n var repeatMetrics = getMetrics(repeat, font);\n var repeatHeightTotal = repeatMetrics.height + repeatMetrics.depth;\n var bottomMetrics = getMetrics(bottom, font);\n var bottomHeightTotal = bottomMetrics.height + bottomMetrics.depth;\n var middleHeightTotal = 0;\n var middleFactor = 1;\n if (middle !== null) {\n var middleMetrics = getMetrics(middle, font);\n middleHeightTotal = middleMetrics.height + middleMetrics.depth;\n middleFactor = 2; // repeat symmetrically above and below middle\n }\n\n // Calcuate the minimal height that the delimiter can have.\n // It is at least the size of the top, bottom, and optional middle combined.\n var minHeight = topHeightTotal + bottomHeightTotal + middleHeightTotal;\n\n // Compute the number of copies of the repeat symbol we will need\n var repeatCount = Math.ceil(\n (heightTotal - minHeight) / (middleFactor * repeatHeightTotal));\n\n // Compute the total height of the delimiter including all the symbols\n var realHeightTotal =\n minHeight + repeatCount * middleFactor * repeatHeightTotal;\n\n // The center of the delimiter is placed at the center of the axis. Note\n // that in this context, \"center\" means that the delimiter should be\n // centered around the axis in the current style, while normally it is\n // centered around the axis in textstyle.\n var axisHeight = fontMetrics.metrics.axisHeight;\n if (center) {\n axisHeight *= options.style.sizeMultiplier;\n }\n // Calculate the depth\n var depth = realHeightTotal / 2 - axisHeight;\n\n // Now, we start building the pieces that will go into the vlist\n\n // Keep a list of the inner pieces\n var inners = [];\n\n // Add the bottom symbol\n inners.push(makeInner(bottom, font, mode));\n\n var i;\n if (middle === null) {\n // Add that many symbols\n for (i = 0; i < repeatCount; i++) {\n inners.push(makeInner(repeat, font, mode));\n }\n } else {\n // When there is a middle bit, we need the middle part and two repeated\n // sections\n for (i = 0; i < repeatCount; i++) {\n inners.push(makeInner(repeat, font, mode));\n }\n inners.push(makeInner(middle, font, mode));\n for (i = 0; i < repeatCount; i++) {\n inners.push(makeInner(repeat, font, mode));\n }\n }\n\n // Add the top symbol\n inners.push(makeInner(top, font, mode));\n\n // Finally, build the vlist\n var inner = buildCommon.makeVList(inners, \"bottom\", depth, options);\n\n return styleWrap(\n makeSpan([\"delimsizing\", \"mult\"], [inner], options.getColor()),\n Style.TEXT, options);\n};\n\n// There are three kinds of delimiters, delimiters that stack when they become\n// too large\nvar stackLargeDelimiters = [\n \"(\", \")\", \"[\", \"\\\\lbrack\", \"]\", \"\\\\rbrack\",\n \"\\\\{\", \"\\\\lbrace\", \"\\\\}\", \"\\\\rbrace\",\n \"\\\\lfloor\", \"\\\\rfloor\", \"\\\\lceil\", \"\\\\rceil\",\n \"\\\\surd\",\n];\n\n// delimiters that always stack\nvar stackAlwaysDelimiters = [\n \"\\\\uparrow\", \"\\\\downarrow\", \"\\\\updownarrow\",\n \"\\\\Uparrow\", \"\\\\Downarrow\", \"\\\\Updownarrow\",\n \"|\", \"\\\\|\", \"\\\\vert\", \"\\\\Vert\",\n \"\\\\lvert\", \"\\\\rvert\", \"\\\\lVert\", \"\\\\rVert\",\n \"\\\\lgroup\", \"\\\\rgroup\", \"\\\\lmoustache\", \"\\\\rmoustache\",\n];\n\n// and delimiters that never stack\nvar stackNeverDelimiters = [\n \"<\", \">\", \"\\\\langle\", \"\\\\rangle\", \"/\", \"\\\\backslash\", \"\\\\lt\", \"\\\\gt\",\n];\n\n// Metrics of the different sizes. Found by looking at TeX's output of\n// $\\bigl| // \\Bigl| \\biggl| \\Biggl| \\showlists$\n// Used to create stacked delimiters of appropriate sizes in makeSizedDelim.\nvar sizeToMaxHeight = [0, 1.2, 1.8, 2.4, 3.0];\n\n/**\n * Used to create a delimiter of a specific size, where `size` is 1, 2, 3, or 4.\n */\nvar makeSizedDelim = function(delim, size, options, mode) {\n // < and > turn into \\langle and \\rangle in delimiters\n if (delim === \"<\" || delim === \"\\\\lt\") {\n delim = \"\\\\langle\";\n } else if (delim === \">\" || delim === \"\\\\gt\") {\n delim = \"\\\\rangle\";\n }\n\n // Sized delimiters are never centered.\n if (utils.contains(stackLargeDelimiters, delim) ||\n utils.contains(stackNeverDelimiters, delim)) {\n return makeLargeDelim(delim, size, false, options, mode);\n } else if (utils.contains(stackAlwaysDelimiters, delim)) {\n return makeStackedDelim(\n delim, sizeToMaxHeight[size], false, options, mode);\n } else {\n throw new ParseError(\"Illegal delimiter: '\" + delim + \"'\");\n }\n};\n\n/**\n * There are three different sequences of delimiter sizes that the delimiters\n * follow depending on the kind of delimiter. This is used when creating custom\n * sized delimiters to decide whether to create a small, large, or stacked\n * delimiter.\n *\n * In real TeX, these sequences aren't explicitly defined, but are instead\n * defined inside the font metrics. Since there are only three sequences that\n * are possible for the delimiters that TeX defines, it is easier to just encode\n * them explicitly here.\n */\n\n// Delimiters that never stack try small delimiters and large delimiters only\nvar stackNeverDelimiterSequence = [\n {type: \"small\", style: Style.SCRIPTSCRIPT},\n {type: \"small\", style: Style.SCRIPT},\n {type: \"small\", style: Style.TEXT},\n {type: \"large\", size: 1},\n {type: \"large\", size: 2},\n {type: \"large\", size: 3},\n {type: \"large\", size: 4},\n];\n\n// Delimiters that always stack try the small delimiters first, then stack\nvar stackAlwaysDelimiterSequence = [\n {type: \"small\", style: Style.SCRIPTSCRIPT},\n {type: \"small\", style: Style.SCRIPT},\n {type: \"small\", style: Style.TEXT},\n {type: \"stack\"},\n];\n\n// Delimiters that stack when large try the small and then large delimiters, and\n// stack afterwards\nvar stackLargeDelimiterSequence = [\n {type: \"small\", style: Style.SCRIPTSCRIPT},\n {type: \"small\", style: Style.SCRIPT},\n {type: \"small\", style: Style.TEXT},\n {type: \"large\", size: 1},\n {type: \"large\", size: 2},\n {type: \"large\", size: 3},\n {type: \"large\", size: 4},\n {type: \"stack\"},\n];\n\n/**\n * Get the font used in a delimiter based on what kind of delimiter it is.\n */\nvar delimTypeToFont = function(type) {\n if (type.type === \"small\") {\n return \"Main-Regular\";\n } else if (type.type === \"large\") {\n return \"Size\" + type.size + \"-Regular\";\n } else if (type.type === \"stack\") {\n return \"Size4-Regular\";\n }\n};\n\n/**\n * Traverse a sequence of types of delimiters to decide what kind of delimiter\n * should be used to create a delimiter of the given height+depth.\n */\nvar traverseSequence = function(delim, height, sequence, options) {\n // Here, we choose the index we should start at in the sequences. In smaller\n // sizes (which correspond to larger numbers in style.size) we start earlier\n // in the sequence. Thus, scriptscript starts at index 3-3=0, script starts\n // at index 3-2=1, text starts at 3-1=2, and display starts at min(2,3-0)=2\n var start = Math.min(2, 3 - options.style.size);\n for (var i = start; i < sequence.length; i++) {\n if (sequence[i].type === \"stack\") {\n // This is always the last delimiter, so we just break the loop now.\n break;\n }\n\n var metrics = getMetrics(delim, delimTypeToFont(sequence[i]));\n var heightDepth = metrics.height + metrics.depth;\n\n // Small delimiters are scaled down versions of the same font, so we\n // account for the style change size.\n\n if (sequence[i].type === \"small\") {\n heightDepth *= sequence[i].style.sizeMultiplier;\n }\n\n // Check if the delimiter at this size works for the given height.\n if (heightDepth > height) {\n return sequence[i];\n }\n }\n\n // If we reached the end of the sequence, return the last sequence element.\n return sequence[sequence.length - 1];\n};\n\n/**\n * Make a delimiter of a given height+depth, with optional centering. Here, we\n * traverse the sequences, and create a delimiter that the sequence tells us to.\n */\nvar makeCustomSizedDelim = function(delim, height, center, options, mode) {\n if (delim === \"<\" || delim === \"\\\\lt\") {\n delim = \"\\\\langle\";\n } else if (delim === \">\" || delim === \"\\\\gt\") {\n delim = \"\\\\rangle\";\n }\n\n // Decide what sequence to use\n var sequence;\n if (utils.contains(stackNeverDelimiters, delim)) {\n sequence = stackNeverDelimiterSequence;\n } else if (utils.contains(stackLargeDelimiters, delim)) {\n sequence = stackLargeDelimiterSequence;\n } else {\n sequence = stackAlwaysDelimiterSequence;\n }\n\n // Look through the sequence\n var delimType = traverseSequence(delim, height, sequence, options);\n\n // Depending on the sequence element we decided on, call the appropriate\n // function.\n if (delimType.type === \"small\") {\n return makeSmallDelim(delim, delimType.style, center, options, mode);\n } else if (delimType.type === \"large\") {\n return makeLargeDelim(delim, delimType.size, center, options, mode);\n } else if (delimType.type === \"stack\") {\n return makeStackedDelim(delim, height, center, options, mode);\n }\n};\n\n/**\n * Make a delimiter for use with `\\left` and `\\right`, given a height and depth\n * of an expression that the delimiters surround.\n */\nvar makeLeftRightDelim = function(delim, height, depth, options, mode) {\n // We always center \\left/\\right delimiters, so the axis is always shifted\n var axisHeight =\n fontMetrics.metrics.axisHeight * options.style.sizeMultiplier;\n\n // Taken from TeX source, tex.web, function make_left_right\n var delimiterFactor = 901;\n var delimiterExtend = 5.0 / fontMetrics.metrics.ptPerEm;\n\n var maxDistFromAxis = Math.max(\n height - axisHeight, depth + axisHeight);\n\n var totalHeight = Math.max(\n // In real TeX, calculations are done using integral values which are\n // 65536 per pt, or 655360 per em. So, the division here truncates in\n // TeX but doesn't here, producing different results. If we wanted to\n // exactly match TeX's calculation, we could do\n // Math.floor(655360 * maxDistFromAxis / 500) *\n // delimiterFactor / 655360\n // (To see the difference, compare\n // x^{x^{\\left(\\rule{0.1em}{0.68em}\\right)}}\n // in TeX and KaTeX)\n maxDistFromAxis / 500 * delimiterFactor,\n 2 * maxDistFromAxis - delimiterExtend);\n\n // Finally, we defer to `makeCustomSizedDelim` with our calculated total\n // height\n return makeCustomSizedDelim(delim, totalHeight, true, options, mode);\n};\n\nmodule.exports = {\n sizedDelim: makeSizedDelim,\n customSizedDelim: makeCustomSizedDelim,\n leftRightDelim: makeLeftRightDelim,\n};\n"
},
{
"path": "pix2tex/dataset/preprocessing/third_party/katex/src/domTree.js",
"content": "/**\n * These objects store the data about the DOM nodes we create, as well as some\n * extra data. They can then be transformed into real DOM nodes with the\n * `toNode` function or HTML markup using `toMarkup`. They are useful for both\n * storing extra properties on the nodes, as well as providing a way to easily\n * work with the DOM.\n *\n * Similar functions for working with MathML nodes exist in mathMLTree.js.\n */\n\nvar utils = require(\"./utils\");\n\n/**\n * Create an HTML className based on a list of classes. In addition to joining\n * with spaces, we also remove null or empty classes.\n */\nvar createClass = function(classes) {\n classes = classes.slice();\n for (var i = classes.length - 1; i >= 0; i--) {\n if (!classes[i]) {\n classes.splice(i, 1);\n }\n }\n\n return classes.join(\" \");\n};\n\n/**\n * This node represents a span node, with a className, a list of children, and\n * an inline style. It also contains information about its height, depth, and\n * maxFontSize.\n */\nfunction span(classes, children, height, depth, maxFontSize, style) {\n this.classes = classes || [];\n this.children = children || [];\n this.height = height || 0;\n this.depth = depth || 0;\n this.maxFontSize = maxFontSize || 0;\n this.style = style || {};\n this.attributes = {};\n}\n\n/**\n * Sets an arbitrary attribute on the span. Warning: use this wisely. Not all\n * browsers support attributes the same, and having too many custom attributes\n * is probably bad.\n */\nspan.prototype.setAttribute = function(attribute, value) {\n this.attributes[attribute] = value;\n};\n\n/**\n * Convert the span into an HTML node\n */\nspan.prototype.toNode = function() {\n var span = document.createElement(\"span\");\n\n // Apply the class\n span.className = createClass(this.classes);\n\n // Apply inline styles\n for (var style in this.style) {\n if (Object.prototype.hasOwnProperty.call(this.style, style)) {\n span.style[style] = this.style[style];\n }\n }\n\n // Apply attributes\n for (var attr in this.attributes) {\n if (Object.prototype.hasOwnProperty.call(this.attributes, attr)) {\n span.setAttribute(attr, this.attributes[attr]);\n }\n }\n\n // Append the children, also as HTML nodes\n for (var i = 0; i < this.children.length; i++) {\n span.appendChild(this.children[i].toNode());\n }\n\n return span;\n};\n\n/**\n * Convert the span into an HTML markup string\n */\nspan.prototype.toMarkup = function() {\n var markup = \"\";\n\n // Add the markup of the children, also as markup\n for (var i = 0; i < this.children.length; i++) {\n markup += this.children[i].toMarkup();\n }\n\n markup += \"\";\n\n return markup;\n};\n\n/**\n * This node represents a document fragment, which contains elements, but when\n * placed into the DOM doesn't have any representation itself. Thus, it only\n * contains children and doesn't have any HTML properties. It also keeps track\n * of a height, depth, and maxFontSize.\n */\nfunction documentFragment(children, height, depth, maxFontSize) {\n this.children = children || [];\n this.height = height || 0;\n this.depth = depth || 0;\n this.maxFontSize = maxFontSize || 0;\n}\n\n/**\n * Convert the fragment into a node\n */\ndocumentFragment.prototype.toNode = function() {\n // Create a fragment\n var frag = document.createDocumentFragment();\n\n // Append the children\n for (var i = 0; i < this.children.length; i++) {\n frag.appendChild(this.children[i].toNode());\n }\n\n return frag;\n};\n\n/**\n * Convert the fragment into HTML markup\n */\ndocumentFragment.prototype.toMarkup = function() {\n var markup = \"\";\n\n // Simply concatenate the markup for the children together\n for (var i = 0; i < this.children.length; i++) {\n markup += this.children[i].toMarkup();\n }\n\n return markup;\n};\n\n/**\n * A symbol node contains information about a single symbol. It either renders\n * to a single text node, or a span with a single text node in it, depending on\n * whether it has CSS classes, styles, or needs italic correction.\n */\nfunction symbolNode(value, height, depth, italic, skew, classes, style) {\n this.value = value || \"\";\n this.height = height || 0;\n this.depth = depth || 0;\n this.italic = italic || 0;\n this.skew = skew || 0;\n this.classes = classes || [];\n this.style = style || {};\n this.maxFontSize = 0;\n}\n\n/**\n * Creates a text node or span from a symbol node. Note that a span is only\n * created if it is needed.\n */\nsymbolNode.prototype.toNode = function() {\n var node = document.createTextNode(this.value);\n var span = null;\n\n if (this.italic > 0) {\n span = document.createElement(\"span\");\n span.style.marginRight = this.italic + \"em\";\n }\n\n if (this.classes.length > 0) {\n span = span || document.createElement(\"span\");\n span.className = createClass(this.classes);\n }\n\n for (var style in this.style) {\n if (this.style.hasOwnProperty(style)) {\n span = span || document.createElement(\"span\");\n span.style[style] = this.style[style];\n }\n }\n\n if (span) {\n span.appendChild(node);\n return span;\n } else {\n return node;\n }\n};\n\n/**\n * Creates markup for a symbol node.\n */\nsymbolNode.prototype.toMarkup = function() {\n // TODO(alpert): More duplication than I'd like from\n // span.prototype.toMarkup and symbolNode.prototype.toNode...\n var needsSpan = false;\n\n var markup = \" 0) {\n styles += \"margin-right:\" + this.italic + \"em;\";\n }\n for (var style in this.style) {\n if (this.style.hasOwnProperty(style)) {\n styles += utils.hyphenate(style) + \":\" + this.style[style] + \";\";\n }\n }\n\n if (styles) {\n needsSpan = true;\n markup += \" style=\\\"\" + utils.escape(styles) + \"\\\"\";\n }\n\n var escaped = utils.escape(this.value);\n if (needsSpan) {\n markup += \">\";\n markup += escaped;\n markup += \"\";\n return markup;\n } else {\n return escaped;\n }\n};\n\nmodule.exports = {\n span: span,\n documentFragment: documentFragment,\n symbolNode: symbolNode,\n};\n"
},
{
"path": "pix2tex/dataset/preprocessing/third_party/katex/src/environments.js",
"content": "/* eslint no-constant-condition:0 */\nvar fontMetrics = require(\"./fontMetrics\");\nvar parseData = require(\"./parseData\");\nvar ParseError = require(\"./ParseError\");\n\nvar ParseNode = parseData.ParseNode;\n\n/**\n * Parse the body of the environment, with rows delimited by \\\\ and\n * columns delimited by &, and create a nested list in row-major order\n * with one group per cell.\n */\nvar q = 0 ;\nfunction parseArray(parser, result) {\n var row = [];\n var body = [row];\n var rowGaps = [];\n\n while (true) {\n \n // if (q == 1) console.error(parser.nextToken.text);\n try {\n var cell = parser.parseExpression(false, null);\n } catch (e) {\n // console.error(e);\n exit();\n }\n // if (q == 1) exit();\n row.push(new ParseNode(\"ordgroup\", cell, parser.mode));\n var next = parser.nextToken.text;\n if (next === \"&\") {\n parser.consume();\n } else if (next === \"\\\\end\" || next == \"}\") {\n break;\n } else if (next === \"\\\\\\\\\" || next === \"\\\\cr\") {\n\n var cr = parser.parseFunction();\n\n rowGaps.push(cr.value.size);\n row = [];\n body.push(row);\n } else {\n // TODO: Clean up the following hack once #385 got merged\n var pos = Math.min(parser.pos + 1, parser.lexer._input.length);\n throw new ParseError(\"Expected & or \\\\\\\\ or \\\\end\",\n parser.lexer, pos);\n }\n }\n result.body = body;\n result.rowGaps = rowGaps;\n // if (q == 1) exit();\n var node = new ParseNode(result.type, result, parser.mode);\n return node;\n}\n\n/*\n * An environment definition is very similar to a function definition:\n * it is declared with a name or a list of names, a set of properties\n * and a handler containing the actual implementation.\n *\n * The properties include:\n * - numArgs: The number of arguments after the \\begin{name} function.\n * - argTypes: (optional) Just like for a function\n * - allowedInText: (optional) Whether or not the environment is allowed inside\n * text mode (default false) (not enforced yet)\n * - numOptionalArgs: (optional) Just like for a function\n * A bare number instead of that object indicates the numArgs value.\n *\n * The handler function will receive two arguments\n * - context: information and references provided by the parser\n * - args: an array of arguments passed to \\begin{name}\n * The context contains the following properties:\n * - envName: the name of the environment, one of the listed names.\n * - parser: the parser object\n * - lexer: the lexer object\n * - positions: the positions associated with these arguments from args.\n * The handler must return a ParseResult.\n */\n\nfunction defineEnvironment(names, props, handler) {\n if (typeof names === \"string\") {\n names = [names];\n }\n if (typeof props === \"number\") {\n props = { numArgs: props };\n }\n // Set default values of environments\n var data = {\n numArgs: props.numArgs || 0,\n argTypes: props.argTypes,\n greediness: 1,\n allowedInText: !!props.allowedInText,\n numOptionalArgs: props.numOptionalArgs || 0,\n handler: handler,\n };\n for (var i = 0; i < names.length; ++i) {\n module.exports[names[i]] = data;\n }\n}\n\n// Arrays are part of LaTeX, defined in lttab.dtx so its documentation\n// is part of the source2e.pdf file of LaTeX2e source documentation.\ndefineEnvironment(\"array\", {\n numArgs: 1,\n}, function(context, args) {\n var colalign = args[0];\n colalign = colalign.value.map ? colalign.value : [colalign];\n var cols = colalign.map(function(node) {\n var ca = node.value;\n if (\"lcr\".indexOf(ca) !== -1) {\n return {\n type: \"align\",\n align: ca,\n };\n } else if (ca === \"|\") {\n return {\n type: \"separator\",\n separator: \"|\",\n };\n }\n // throw new ParseError(\n // \"Unknown column alignment: \" + node.value,\n // context.lexer, context.positions[1]);\n });\n var res = {\n type: \"array\",\n cols: cols,\n hskipBeforeAndAfter: true, // \\@preamble in lttab.dtx\n };\n res = parseArray(context.parser, res);\n return res;\n});\n\ndefineEnvironment(\"tabular\", {\n numArgs: 1,\n}, function(context, args) {\n var colalign = args[0];\n colalign = colalign.value.map ? colalign.value : [colalign];\n var cols = colalign.map(function(node) {\n var ca = node.value;\n if (\"lcr\".indexOf(ca) !== -1) {\n return {\n type: \"align\",\n align: ca,\n };\n } else if (ca === \"|\") {\n return {\n type: \"separator\",\n separator: \"|\",\n };\n }\n // throw new ParseError(\n // \"Unknown column alignment: \" + node.value,\n // context.lexer, context.positions[1]);\n });\n var res = {\n type: \"array\",\n style: \"tabular\",\n cols: cols,\n hskipBeforeAndAfter: true, // \\@preamble in lttab.dtx\n };\n res = parseArray(context.parser, res);\n return res;\n});\n\n// The matrix environments of amsmath builds on the array environment\n// of LaTeX, which is discussed above.\ndefineEnvironment([\n \"matrix\",\n \"pmatrix\",\n \"bmatrix\",\n \"Bmatrix\",\n \"vmatrix\",\n \"Vmatrix\",\n], {\n}, function(context) {\n var delimiters = {\n \"matrix\": null,\n \"pmatrix\": [\"(\", \")\"],\n \"bmatrix\": [\"[\", \"]\"],\n \"Bmatrix\": [\"\\\\{\", \"\\\\}\"],\n \"vmatrix\": [\"|\", \"|\"],\n \"Vmatrix\": [\"\\\\Vert\", \"\\\\Vert\"],\n }[context.envName];\n var res = {\n type: \"array\",\n hskipBeforeAndAfter: false, // \\hskip -\\arraycolsep in amsmath\n };\n q = 1;\n res = parseArray(context.parser, res);\n\n if (delimiters) {\n res = new ParseNode(\"leftright\", {\n body: [res],\n left: delimiters[0],\n right: delimiters[1],\n }, context.mode);\n }\n return res;\n});\n\n// A cases environment (in amsmath.sty) is almost equivalent to\n// \\def\\arraystretch{1.2}%\n// \\left\\{\\begin{array}{@{}l@{\\quad}l@{}} … \\end{array}\\right.\ndefineEnvironment(\"picture\", {\n}, function(context) {\n var res = {\n type: \"array\",\n arraystretch: 1.2,\n cols: [{\n type: \"align\",\n align: \"l\",\n pregap: 0,\n postgap: fontMetrics.metrics.quad,\n }, {\n type: \"align\",\n align: \"l\",\n pregap: 0,\n postgap: 0,\n }],\n };\n res = parseArray(context.parser, res);\n res = new ParseNode(\"leftright\", {\n body: [res],\n left: \"\\\\{\",\n right: \".\",\n }, context.mode);\n return res;\n});\n\ndefineEnvironment(\"cases\", {\n}, function(context) {\n var res = {\n type: \"array\",\n arraystretch: 1.2,\n cols: [{\n type: \"align\",\n align: \"l\",\n pregap: 0,\n postgap: fontMetrics.metrics.quad,\n }, {\n type: \"align\",\n align: \"l\",\n pregap: 0,\n postgap: 0,\n }],\n };\n res = parseArray(context.parser, res);\n res = new ParseNode(\"leftright\", {\n body: [res],\n left: \"\\\\{\",\n right: \".\",\n }, context.mode);\n return res;\n});\n\n// An aligned environment is like the align* environment\n// except it operates within math mode.\n// Note that we assume \\nomallineskiplimit to be zero,\n// so that \\strut@ is the same as \\strut.\ndefineEnvironment(\"aligned\", {\n}, function(context) {\n var res = {\n type: \"array\",\n cols: [],\n };\n res = parseArray(context.parser, res);\n var emptyGroup = new ParseNode(\"ordgroup\", [], context.mode);\n var numCols = 0;\n res.value.body.forEach(function(row) {\n var i;\n for (i = 1; i < row.length; i += 2) {\n row[i].value.unshift(emptyGroup);\n }\n if (numCols < row.length) {\n numCols = row.length;\n }\n });\n for (var i = 0; i < numCols; ++i) {\n var align = \"r\";\n var pregap = 0;\n if (i % 2 === 1) {\n align = \"l\";\n } else if (i > 0) {\n pregap = 2; // one \\qquad between columns\n }\n res.value.cols[i] = {\n type: \"align\",\n align: align,\n pregap: pregap,\n postgap: 0,\n };\n }\n return res;\n});\n"
},
{
"path": "pix2tex/dataset/preprocessing/third_party/katex/src/fontMetrics.js",
"content": "/* eslint no-unused-vars:0 */\n\nvar Style = require(\"./Style\");\n\n/**\n * This file contains metrics regarding fonts and individual symbols. The sigma\n * and xi variables, as well as the metricMap map contain data extracted from\n * TeX, TeX font metrics, and the TTF files. These data are then exposed via the\n * `metrics` variable and the getCharacterMetrics function.\n */\n\n// These font metrics are extracted from TeX by using\n// \\font\\a=cmmi10\n// \\showthe\\fontdimenX\\a\n// where X is the corresponding variable number. These correspond to the font\n// parameters of the symbol fonts. In TeX, there are actually three sets of\n// dimensions, one for each of textstyle, scriptstyle, and scriptscriptstyle,\n// but we only use the textstyle ones, and scale certain dimensions accordingly.\n// See the TeXbook, page 441.\nvar sigma1 = 0.025;\nvar sigma2 = 0;\nvar sigma3 = 0;\nvar sigma4 = 0;\nvar sigma5 = 0.431;\nvar sigma6 = 1;\nvar sigma7 = 0;\nvar sigma8 = 0.677;\nvar sigma9 = 0.394;\nvar sigma10 = 0.444;\nvar sigma11 = 0.686;\nvar sigma12 = 0.345;\nvar sigma13 = 0.413;\nvar sigma14 = 0.363;\nvar sigma15 = 0.289;\nvar sigma16 = 0.150;\nvar sigma17 = 0.247;\nvar sigma18 = 0.386;\nvar sigma19 = 0.050;\nvar sigma20 = 2.390;\nvar sigma21 = 1.01;\nvar sigma21Script = 0.81;\nvar sigma21ScriptScript = 0.71;\nvar sigma22 = 0.250;\n\n// These font metrics are extracted from TeX by using\n// \\font\\a=cmex10\n// \\showthe\\fontdimenX\\a\n// where X is the corresponding variable number. These correspond to the font\n// parameters of the extension fonts (family 3). See the TeXbook, page 441.\nvar xi1 = 0;\nvar xi2 = 0;\nvar xi3 = 0;\nvar xi4 = 0;\nvar xi5 = 0.431;\nvar xi6 = 1;\nvar xi7 = 0;\nvar xi8 = 0.04;\nvar xi9 = 0.111;\nvar xi10 = 0.166;\nvar xi11 = 0.2;\nvar xi12 = 0.6;\nvar xi13 = 0.1;\n\n// This value determines how large a pt is, for metrics which are defined in\n// terms of pts.\n// This value is also used in katex.less; if you change it make sure the values\n// match.\nvar ptPerEm = 10.0;\n\n// The space between adjacent `|` columns in an array definition. From\n// `\\showthe\\doublerulesep` in LaTeX.\nvar doubleRuleSep = 2.0 / ptPerEm;\n\n/**\n * This is just a mapping from common names to real metrics\n */\nvar metrics = {\n xHeight: sigma5,\n quad: sigma6,\n num1: sigma8,\n num2: sigma9,\n num3: sigma10,\n denom1: sigma11,\n denom2: sigma12,\n sup1: sigma13,\n sup2: sigma14,\n sup3: sigma15,\n sub1: sigma16,\n sub2: sigma17,\n supDrop: sigma18,\n subDrop: sigma19,\n axisHeight: sigma22,\n defaultRuleThickness: xi8,\n bigOpSpacing1: xi9,\n bigOpSpacing2: xi10,\n bigOpSpacing3: xi11,\n bigOpSpacing4: xi12,\n bigOpSpacing5: xi13,\n ptPerEm: ptPerEm,\n emPerEx: sigma5 / sigma6,\n doubleRuleSep: doubleRuleSep,\n\n // TODO(alpert): Missing parallel structure here. We should probably add\n // style-specific metrics for all of these.\n delim1: sigma20,\n getDelim2: function(style) {\n if (style.size === Style.TEXT.size) {\n return sigma21;\n } else if (style.size === Style.SCRIPT.size) {\n return sigma21Script;\n } else if (style.size === Style.SCRIPTSCRIPT.size) {\n return sigma21ScriptScript;\n }\n throw new Error(\"Unexpected style size: \" + style.size);\n },\n};\n\n// This map contains a mapping from font name and character code to character\n// metrics, including height, depth, italic correction, and skew (kern from the\n// character to the corresponding \\skewchar)\n// This map is generated via `make metrics`. It should not be changed manually.\nvar metricMap = require(\"./fontMetricsData\");\n\n/**\n * This function is a convenience function for looking up information in the\n * metricMap table. It takes a character as a string, and a style.\n *\n * Note: the `width` property may be undefined if fontMetricsData.js wasn't\n * built using `Make extended_metrics`.\n */\nvar getCharacterMetrics = function(character, style) {\n var metrics = metricMap[style][character.charCodeAt(0)];\n if (metrics) {\n return {\n depth: metrics[0],\n height: metrics[1],\n italic: metrics[2],\n skew: metrics[3],\n width: metrics[4],\n };\n }\n};\n\nmodule.exports = {\n metrics: metrics,\n getCharacterMetrics: getCharacterMetrics,\n};\n"
},
{
"path": "pix2tex/dataset/preprocessing/third_party/katex/src/fontMetricsData.js",
"content": "module.exports = {\n \"AMS-Regular\": {\n \"65\": [0, 0.68889, 0, 0],\n \"66\": [0, 0.68889, 0, 0],\n \"67\": [0, 0.68889, 0, 0],\n \"68\": [0, 0.68889, 0, 0],\n \"69\": [0, 0.68889, 0, 0],\n \"70\": [0, 0.68889, 0, 0],\n \"71\": [0, 0.68889, 0, 0],\n \"72\": [0, 0.68889, 0, 0],\n \"73\": [0, 0.68889, 0, 0],\n \"74\": [0.16667, 0.68889, 0, 0],\n \"75\": [0, 0.68889, 0, 0],\n \"76\": [0, 0.68889, 0, 0],\n \"77\": [0, 0.68889, 0, 0],\n \"78\": [0, 0.68889, 0, 0],\n \"79\": [0.16667, 0.68889, 0, 0],\n \"80\": [0, 0.68889, 0, 0],\n \"81\": [0.16667, 0.68889, 0, 0],\n \"82\": [0, 0.68889, 0, 0],\n \"83\": [0, 0.68889, 0, 0],\n \"84\": [0, 0.68889, 0, 0],\n \"85\": [0, 0.68889, 0, 0],\n \"86\": [0, 0.68889, 0, 0],\n \"87\": [0, 0.68889, 0, 0],\n \"88\": [0, 0.68889, 0, 0],\n \"89\": [0, 0.68889, 0, 0],\n \"90\": [0, 0.68889, 0, 0],\n \"107\": [0, 0.68889, 0, 0],\n \"165\": [0, 0.675, 0.025, 0],\n \"174\": [0.15559, 0.69224, 0, 0],\n \"240\": [0, 0.68889, 0, 0],\n \"295\": [0, 0.68889, 0, 0],\n \"710\": [0, 0.825, 0, 0],\n \"732\": [0, 0.9, 0, 0],\n \"770\": [0, 0.825, 0, 0],\n \"771\": [0, 0.9, 0, 0],\n \"989\": [0.08167, 0.58167, 0, 0],\n \"1008\": [0, 0.43056, 0.04028, 0],\n \"8245\": [0, 0.54986, 0, 0],\n \"8463\": [0, 0.68889, 0, 0],\n \"8487\": [0, 0.68889, 0, 0],\n \"8498\": [0, 0.68889, 0, 0],\n \"8502\": [0, 0.68889, 0, 0],\n \"8503\": [0, 0.68889, 0, 0],\n \"8504\": [0, 0.68889, 0, 0],\n \"8513\": [0, 0.68889, 0, 0],\n \"8592\": [-0.03598, 0.46402, 0, 0],\n \"8594\": [-0.03598, 0.46402, 0, 0],\n \"8602\": [-0.13313, 0.36687, 0, 0],\n \"8603\": [-0.13313, 0.36687, 0, 0],\n \"8606\": [0.01354, 0.52239, 0, 0],\n \"8608\": [0.01354, 0.52239, 0, 0],\n \"8610\": [0.01354, 0.52239, 0, 0],\n \"8611\": [0.01354, 0.52239, 0, 0],\n \"8619\": [0, 0.54986, 0, 0],\n \"8620\": [0, 0.54986, 0, 0],\n \"8621\": [-0.13313, 0.37788, 0, 0],\n \"8622\": [-0.13313, 0.36687, 0, 0],\n \"8624\": [0, 0.69224, 0, 0],\n \"8625\": [0, 0.69224, 0, 0],\n \"8630\": [0, 0.43056, 0, 0],\n \"8631\": [0, 0.43056, 0, 0],\n \"8634\": [0.08198, 0.58198, 0, 0],\n \"8635\": [0.08198, 0.58198, 0, 0],\n \"8638\": [0.19444, 0.69224, 0, 0],\n \"8639\": [0.19444, 0.69224, 0, 0],\n \"8642\": [0.19444, 0.69224, 0, 0],\n \"8643\": [0.19444, 0.69224, 0, 0],\n \"8644\": [0.1808, 0.675, 0, 0],\n \"8646\": [0.1808, 0.675, 0, 0],\n \"8647\": [0.1808, 0.675, 0, 0],\n \"8648\": [0.19444, 0.69224, 0, 0],\n \"8649\": [0.1808, 0.675, 0, 0],\n \"8650\": [0.19444, 0.69224, 0, 0],\n \"8651\": [0.01354, 0.52239, 0, 0],\n \"8652\": [0.01354, 0.52239, 0, 0],\n \"8653\": [-0.13313, 0.36687, 0, 0],\n \"8654\": [-0.13313, 0.36687, 0, 0],\n \"8655\": [-0.13313, 0.36687, 0, 0],\n \"8666\": [0.13667, 0.63667, 0, 0],\n \"8667\": [0.13667, 0.63667, 0, 0],\n \"8669\": [-0.13313, 0.37788, 0, 0],\n \"8672\": [-0.064, 0.437, 0, 0],\n \"8674\": [-0.064, 0.437, 0, 0],\n \"8705\": [0, 0.825, 0, 0],\n \"8708\": [0, 0.68889, 0, 0],\n \"8709\": [0.08167, 0.58167, 0, 0],\n \"8717\": [0, 0.43056, 0, 0],\n \"8722\": [-0.03598, 0.46402, 0, 0],\n \"8724\": [0.08198, 0.69224, 0, 0],\n \"8726\": [0.08167, 0.58167, 0, 0],\n \"8733\": [0, 0.69224, 0, 0],\n \"8736\": [0, 0.69224, 0, 0],\n \"8737\": [0, 0.69224, 0, 0],\n \"8738\": [0.03517, 0.52239, 0, 0],\n \"8739\": [0.08167, 0.58167, 0, 0],\n \"8740\": [0.25142, 0.74111, 0, 0],\n \"8741\": [0.08167, 0.58167, 0, 0],\n \"8742\": [0.25142, 0.74111, 0, 0],\n \"8756\": [0, 0.69224, 0, 0],\n \"8757\": [0, 0.69224, 0, 0],\n \"8764\": [-0.13313, 0.36687, 0, 0],\n \"8765\": [-0.13313, 0.37788, 0, 0],\n \"8769\": [-0.13313, 0.36687, 0, 0],\n \"8770\": [-0.03625, 0.46375, 0, 0],\n \"8774\": [0.30274, 0.79383, 0, 0],\n \"8776\": [-0.01688, 0.48312, 0, 0],\n \"8778\": [0.08167, 0.58167, 0, 0],\n \"8782\": [0.06062, 0.54986, 0, 0],\n \"8783\": [0.06062, 0.54986, 0, 0],\n \"8785\": [0.08198, 0.58198, 0, 0],\n \"8786\": [0.08198, 0.58198, 0, 0],\n \"8787\": [0.08198, 0.58198, 0, 0],\n \"8790\": [0, 0.69224, 0, 0],\n \"8791\": [0.22958, 0.72958, 0, 0],\n \"8796\": [0.08198, 0.91667, 0, 0],\n \"8806\": [0.25583, 0.75583, 0, 0],\n \"8807\": [0.25583, 0.75583, 0, 0],\n \"8808\": [0.25142, 0.75726, 0, 0],\n \"8809\": [0.25142, 0.75726, 0, 0],\n \"8812\": [0.25583, 0.75583, 0, 0],\n \"8814\": [0.20576, 0.70576, 0, 0],\n \"8815\": [0.20576, 0.70576, 0, 0],\n \"8816\": [0.30274, 0.79383, 0, 0],\n \"8817\": [0.30274, 0.79383, 0, 0],\n \"8818\": [0.22958, 0.72958, 0, 0],\n \"8819\": [0.22958, 0.72958, 0, 0],\n \"8822\": [0.1808, 0.675, 0, 0],\n \"8823\": [0.1808, 0.675, 0, 0],\n \"8828\": [0.13667, 0.63667, 0, 0],\n \"8829\": [0.13667, 0.63667, 0, 0],\n \"8830\": [0.22958, 0.72958, 0, 0],\n \"8831\": [0.22958, 0.72958, 0, 0],\n \"8832\": [0.20576, 0.70576, 0, 0],\n \"8833\": [0.20576, 0.70576, 0, 0],\n \"8840\": [0.30274, 0.79383, 0, 0],\n \"8841\": [0.30274, 0.79383, 0, 0],\n \"8842\": [0.13597, 0.63597, 0, 0],\n \"8843\": [0.13597, 0.63597, 0, 0],\n \"8847\": [0.03517, 0.54986, 0, 0],\n \"8848\": [0.03517, 0.54986, 0, 0],\n \"8858\": [0.08198, 0.58198, 0, 0],\n \"8859\": [0.08198, 0.58198, 0, 0],\n \"8861\": [0.08198, 0.58198, 0, 0],\n \"8862\": [0, 0.675, 0, 0],\n \"8863\": [0, 0.675, 0, 0],\n \"8864\": [0, 0.675, 0, 0],\n \"8865\": [0, 0.675, 0, 0],\n \"8872\": [0, 0.69224, 0, 0],\n \"8873\": [0, 0.69224, 0, 0],\n \"8874\": [0, 0.69224, 0, 0],\n \"8876\": [0, 0.68889, 0, 0],\n \"8877\": [0, 0.68889, 0, 0],\n \"8878\": [0, 0.68889, 0, 0],\n \"8879\": [0, 0.68889, 0, 0],\n \"8882\": [0.03517, 0.54986, 0, 0],\n \"8883\": [0.03517, 0.54986, 0, 0],\n \"8884\": [0.13667, 0.63667, 0, 0],\n \"8885\": [0.13667, 0.63667, 0, 0],\n \"8888\": [0, 0.54986, 0, 0],\n \"8890\": [0.19444, 0.43056, 0, 0],\n \"8891\": [0.19444, 0.69224, 0, 0],\n \"8892\": [0.19444, 0.69224, 0, 0],\n \"8901\": [0, 0.54986, 0, 0],\n \"8903\": [0.08167, 0.58167, 0, 0],\n \"8905\": [0.08167, 0.58167, 0, 0],\n \"8906\": [0.08167, 0.58167, 0, 0],\n \"8907\": [0, 0.69224, 0, 0],\n \"8908\": [0, 0.69224, 0, 0],\n \"8909\": [-0.03598, 0.46402, 0, 0],\n \"8910\": [0, 0.54986, 0, 0],\n \"8911\": [0, 0.54986, 0, 0],\n \"8912\": [0.03517, 0.54986, 0, 0],\n \"8913\": [0.03517, 0.54986, 0, 0],\n \"8914\": [0, 0.54986, 0, 0],\n \"8915\": [0, 0.54986, 0, 0],\n \"8916\": [0, 0.69224, 0, 0],\n \"8918\": [0.0391, 0.5391, 0, 0],\n \"8919\": [0.0391, 0.5391, 0, 0],\n \"8920\": [0.03517, 0.54986, 0, 0],\n \"8921\": [0.03517, 0.54986, 0, 0],\n \"8922\": [0.38569, 0.88569, 0, 0],\n \"8923\": [0.38569, 0.88569, 0, 0],\n \"8926\": [0.13667, 0.63667, 0, 0],\n \"8927\": [0.13667, 0.63667, 0, 0],\n \"8928\": [0.30274, 0.79383, 0, 0],\n \"8929\": [0.30274, 0.79383, 0, 0],\n \"8934\": [0.23222, 0.74111, 0, 0],\n \"8935\": [0.23222, 0.74111, 0, 0],\n \"8936\": [0.23222, 0.74111, 0, 0],\n \"8937\": [0.23222, 0.74111, 0, 0],\n \"8938\": [0.20576, 0.70576, 0, 0],\n \"8939\": [0.20576, 0.70576, 0, 0],\n \"8940\": [0.30274, 0.79383, 0, 0],\n \"8941\": [0.30274, 0.79383, 0, 0],\n \"8994\": [0.19444, 0.69224, 0, 0],\n \"8995\": [0.19444, 0.69224, 0, 0],\n \"9416\": [0.15559, 0.69224, 0, 0],\n \"9484\": [0, 0.69224, 0, 0],\n \"9488\": [0, 0.69224, 0, 0],\n \"9492\": [0, 0.37788, 0, 0],\n \"9496\": [0, 0.37788, 0, 0],\n \"9585\": [0.19444, 0.68889, 0, 0],\n \"9586\": [0.19444, 0.74111, 0, 0],\n \"9632\": [0, 0.675, 0, 0],\n \"9633\": [0, 0.675, 0, 0],\n \"9650\": [0, 0.54986, 0, 0],\n \"9651\": [0, 0.54986, 0, 0],\n \"9654\": [0.03517, 0.54986, 0, 0],\n \"9660\": [0, 0.54986, 0, 0],\n \"9661\": [0, 0.54986, 0, 0],\n \"9664\": [0.03517, 0.54986, 0, 0],\n \"9674\": [0.11111, 0.69224, 0, 0],\n \"9733\": [0.19444, 0.69224, 0, 0],\n \"10003\": [0, 0.69224, 0, 0],\n \"10016\": [0, 0.69224, 0, 0],\n \"10731\": [0.11111, 0.69224, 0, 0],\n \"10846\": [0.19444, 0.75583, 0, 0],\n \"10877\": [0.13667, 0.63667, 0, 0],\n \"10878\": [0.13667, 0.63667, 0, 0],\n \"10885\": [0.25583, 0.75583, 0, 0],\n \"10886\": [0.25583, 0.75583, 0, 0],\n \"10887\": [0.13597, 0.63597, 0, 0],\n \"10888\": [0.13597, 0.63597, 0, 0],\n \"10889\": [0.26167, 0.75726, 0, 0],\n 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[0.13333, 0.63333, 0, 0],\n \"8854\": [0.13333, 0.63333, 0, 0],\n \"8855\": [0.13333, 0.63333, 0, 0],\n \"8856\": [0.13333, 0.63333, 0, 0],\n \"8857\": [0.13333, 0.63333, 0, 0],\n \"8866\": [0, 0.69444, 0, 0],\n \"8867\": [0, 0.69444, 0, 0],\n \"8868\": [0, 0.69444, 0, 0],\n \"8869\": [0, 0.69444, 0, 0],\n \"8900\": [-0.02639, 0.47361, 0, 0],\n \"8901\": [-0.02639, 0.47361, 0, 0],\n \"8902\": [-0.02778, 0.47222, 0, 0],\n \"8968\": [0.25, 0.75, 0, 0],\n \"8969\": [0.25, 0.75, 0, 0],\n \"8970\": [0.25, 0.75, 0, 0],\n \"8971\": [0.25, 0.75, 0, 0],\n \"8994\": [-0.13889, 0.36111, 0, 0],\n \"8995\": [-0.13889, 0.36111, 0, 0],\n \"9651\": [0.19444, 0.69444, 0, 0],\n \"9657\": [-0.02778, 0.47222, 0, 0],\n \"9661\": [0.19444, 0.69444, 0, 0],\n \"9667\": [-0.02778, 0.47222, 0, 0],\n \"9711\": [0.19444, 0.69444, 0, 0],\n \"9824\": [0.12963, 0.69444, 0, 0],\n \"9825\": [0.12963, 0.69444, 0, 0],\n \"9826\": [0.12963, 0.69444, 0, 0],\n \"9827\": [0.12963, 0.69444, 0, 0],\n \"9837\": [0, 0.75, 0, 0],\n \"9838\": [0.19444, 0.69444, 0, 0],\n \"9839\": [0.19444, 0.69444, 0, 0],\n \"10216\": [0.25, 0.75, 0, 0],\n \"10217\": [0.25, 0.75, 0, 0],\n \"10815\": [0, 0.68611, 0, 0],\n \"10927\": [0.19667, 0.69667, 0, 0],\n \"10928\": [0.19667, 0.69667, 0, 0],\n },\n \"Main-Italic\": {\n \"33\": [0, 0.69444, 0.12417, 0],\n \"34\": [0, 0.69444, 0.06961, 0],\n \"35\": [0.19444, 0.69444, 0.06616, 0],\n \"37\": [0.05556, 0.75, 0.13639, 0],\n \"38\": [0, 0.69444, 0.09694, 0],\n \"39\": [0, 0.69444, 0.12417, 0],\n \"40\": [0.25, 0.75, 0.16194, 0],\n \"41\": [0.25, 0.75, 0.03694, 0],\n \"42\": [0, 0.75, 0.14917, 0],\n \"43\": [0.05667, 0.56167, 0.03694, 0],\n \"44\": [0.19444, 0.10556, 0, 0],\n \"45\": [0, 0.43056, 0.02826, 0],\n \"46\": [0, 0.10556, 0, 0],\n \"47\": [0.25, 0.75, 0.16194, 0],\n \"48\": [0, 0.64444, 0.13556, 0],\n \"49\": [0, 0.64444, 0.13556, 0],\n \"50\": [0, 0.64444, 0.13556, 0],\n \"51\": [0, 0.64444, 0.13556, 0],\n \"52\": [0.19444, 0.64444, 0.13556, 0],\n \"53\": [0, 0.64444, 0.13556, 0],\n \"54\": [0, 0.64444, 0.13556, 0],\n \"55\": [0.19444, 0.64444, 0.13556, 0],\n \"56\": [0, 0.64444, 0.13556, 0],\n \"57\": [0, 0.64444, 0.13556, 0],\n \"58\": [0, 0.43056, 0.0582, 0],\n \"59\": [0.19444, 0.43056, 0.0582, 0],\n \"61\": [-0.13313, 0.36687, 0.06616, 0],\n \"63\": [0, 0.69444, 0.1225, 0],\n \"64\": [0, 0.69444, 0.09597, 0],\n \"65\": [0, 0.68333, 0, 0],\n \"66\": [0, 0.68333, 0.10257, 0],\n \"67\": [0, 0.68333, 0.14528, 0],\n \"68\": [0, 0.68333, 0.09403, 0],\n \"69\": [0, 0.68333, 0.12028, 0],\n \"70\": [0, 0.68333, 0.13305, 0],\n \"71\": [0, 0.68333, 0.08722, 0],\n \"72\": [0, 0.68333, 0.16389, 0],\n \"73\": [0, 0.68333, 0.15806, 0],\n \"74\": [0, 0.68333, 0.14028, 0],\n \"75\": [0, 0.68333, 0.14528, 0],\n \"76\": [0, 0.68333, 0, 0],\n \"77\": [0, 0.68333, 0.16389, 0],\n \"78\": [0, 0.68333, 0.16389, 0],\n \"79\": [0, 0.68333, 0.09403, 0],\n \"80\": [0, 0.68333, 0.10257, 0],\n \"81\": [0.19444, 0.68333, 0.09403, 0],\n \"82\": [0, 0.68333, 0.03868, 0],\n \"83\": [0, 0.68333, 0.11972, 0],\n \"84\": [0, 0.68333, 0.13305, 0],\n \"85\": [0, 0.68333, 0.16389, 0],\n \"86\": [0, 0.68333, 0.18361, 0],\n \"87\": [0, 0.68333, 0.18361, 0],\n \"88\": [0, 0.68333, 0.15806, 0],\n \"89\": [0, 0.68333, 0.19383, 0],\n \"90\": [0, 0.68333, 0.14528, 0],\n \"91\": [0.25, 0.75, 0.1875, 0],\n \"93\": [0.25, 0.75, 0.10528, 0],\n \"94\": [0, 0.69444, 0.06646, 0],\n \"95\": [0.31, 0.12056, 0.09208, 0],\n \"97\": [0, 0.43056, 0.07671, 0],\n \"98\": [0, 0.69444, 0.06312, 0],\n \"99\": [0, 0.43056, 0.05653, 0],\n \"100\": [0, 0.69444, 0.10333, 0],\n \"101\": [0, 0.43056, 0.07514, 0],\n \"102\": [0.19444, 0.69444, 0.21194, 0],\n \"103\": [0.19444, 0.43056, 0.08847, 0],\n \"104\": [0, 0.69444, 0.07671, 0],\n \"105\": [0, 0.65536, 0.1019, 0],\n \"106\": [0.19444, 0.65536, 0.14467, 0],\n \"107\": [0, 0.69444, 0.10764, 0],\n \"108\": [0, 0.69444, 0.10333, 0],\n \"109\": [0, 0.43056, 0.07671, 0],\n \"110\": [0, 0.43056, 0.07671, 0],\n \"111\": [0, 0.43056, 0.06312, 0],\n \"112\": [0.19444, 0.43056, 0.06312, 0],\n \"113\": [0.19444, 0.43056, 0.08847, 0],\n \"114\": [0, 0.43056, 0.10764, 0],\n \"115\": [0, 0.43056, 0.08208, 0],\n \"116\": [0, 0.61508, 0.09486, 0],\n \"117\": [0, 0.43056, 0.07671, 0],\n \"118\": [0, 0.43056, 0.10764, 0],\n \"119\": [0, 0.43056, 0.10764, 0],\n \"120\": [0, 0.43056, 0.12042, 0],\n \"121\": [0.19444, 0.43056, 0.08847, 0],\n \"122\": [0, 0.43056, 0.12292, 0],\n \"126\": [0.35, 0.31786, 0.11585, 0],\n \"163\": [0, 0.69444, 0, 0],\n \"305\": [0, 0.43056, 0, 0.02778],\n \"567\": [0.19444, 0.43056, 0, 0.08334],\n \"768\": [0, 0.69444, 0, 0],\n \"769\": [0, 0.69444, 0.09694, 0],\n \"770\": [0, 0.69444, 0.06646, 0],\n \"771\": [0, 0.66786, 0.11585, 0],\n \"772\": [0, 0.56167, 0.10333, 0],\n \"774\": [0, 0.69444, 0.10806, 0],\n \"775\": [0, 0.66786, 0.11752, 0],\n \"776\": [0, 0.66786, 0.10474, 0],\n \"778\": [0, 0.69444, 0, 0],\n \"779\": [0, 0.69444, 0.1225, 0],\n \"780\": [0, 0.62847, 0.08295, 0],\n \"915\": [0, 0.68333, 0.13305, 0],\n \"916\": [0, 0.68333, 0, 0],\n \"920\": [0, 0.68333, 0.09403, 0],\n \"923\": [0, 0.68333, 0, 0],\n \"926\": [0, 0.68333, 0.15294, 0],\n \"928\": [0, 0.68333, 0.16389, 0],\n \"931\": [0, 0.68333, 0.12028, 0],\n \"933\": [0, 0.68333, 0.11111, 0],\n \"934\": [0, 0.68333, 0.05986, 0],\n \"936\": [0, 0.68333, 0.11111, 0],\n \"937\": [0, 0.68333, 0.10257, 0],\n \"8211\": [0, 0.43056, 0.09208, 0],\n \"8212\": [0, 0.43056, 0.09208, 0],\n \"8216\": [0, 0.69444, 0.12417, 0],\n \"8217\": [0, 0.69444, 0.12417, 0],\n \"8220\": [0, 0.69444, 0.1685, 0],\n \"8221\": [0, 0.69444, 0.06961, 0],\n \"8463\": [0, 0.68889, 0, 0],\n },\n \"Main-Regular\": {\n \"32\": [0, 0, 0, 0],\n \"33\": [0, 0.69444, 0, 0],\n \"34\": [0, 0.69444, 0, 0],\n \"35\": [0.19444, 0.69444, 0, 0],\n \"36\": [0.05556, 0.75, 0, 0],\n \"37\": [0.05556, 0.75, 0, 0],\n \"38\": [0, 0.69444, 0, 0],\n \"39\": [0, 0.69444, 0, 0],\n \"40\": [0.25, 0.75, 0, 0],\n \"41\": [0.25, 0.75, 0, 0],\n \"42\": [0, 0.75, 0, 0],\n \"43\": [0.08333, 0.58333, 0, 0],\n \"44\": [0.19444, 0.10556, 0, 0],\n \"45\": [0, 0.43056, 0, 0],\n \"46\": [0, 0.10556, 0, 0],\n \"47\": [0.25, 0.75, 0, 0],\n \"48\": [0, 0.64444, 0, 0],\n \"49\": [0, 0.64444, 0, 0],\n \"50\": [0, 0.64444, 0, 0],\n \"51\": [0, 0.64444, 0, 0],\n \"52\": [0, 0.64444, 0, 0],\n \"53\": [0, 0.64444, 0, 0],\n \"54\": [0, 0.64444, 0, 0],\n \"55\": [0, 0.64444, 0, 0],\n \"56\": [0, 0.64444, 0, 0],\n \"57\": [0, 0.64444, 0, 0],\n \"58\": [0, 0.43056, 0, 0],\n \"59\": [0.19444, 0.43056, 0, 0],\n \"60\": [0.0391, 0.5391, 0, 0],\n \"61\": [-0.13313, 0.36687, 0, 0],\n \"62\": [0.0391, 0.5391, 0, 0],\n \"63\": [0, 0.69444, 0, 0],\n \"64\": [0, 0.69444, 0, 0],\n \"65\": [0, 0.68333, 0, 0],\n \"66\": [0, 0.68333, 0, 0],\n \"67\": [0, 0.68333, 0, 0],\n \"68\": [0, 0.68333, 0, 0],\n \"69\": [0, 0.68333, 0, 0],\n \"70\": [0, 0.68333, 0, 0],\n \"71\": [0, 0.68333, 0, 0],\n \"72\": [0, 0.68333, 0, 0],\n \"73\": [0, 0.68333, 0, 0],\n \"74\": [0, 0.68333, 0, 0],\n \"75\": [0, 0.68333, 0, 0],\n \"76\": [0, 0.68333, 0, 0],\n \"77\": [0, 0.68333, 0, 0],\n \"78\": [0, 0.68333, 0, 0],\n \"79\": [0, 0.68333, 0, 0],\n \"80\": [0, 0.68333, 0, 0],\n \"81\": [0.19444, 0.68333, 0, 0],\n \"82\": [0, 0.68333, 0, 0],\n \"83\": [0, 0.68333, 0, 0],\n \"84\": [0, 0.68333, 0, 0],\n \"85\": [0, 0.68333, 0, 0],\n \"86\": [0, 0.68333, 0.01389, 0],\n \"87\": [0, 0.68333, 0.01389, 0],\n \"88\": [0, 0.68333, 0, 0],\n \"89\": [0, 0.68333, 0.025, 0],\n \"90\": [0, 0.68333, 0, 0],\n \"91\": [0.25, 0.75, 0, 0],\n \"92\": [0.25, 0.75, 0, 0],\n \"93\": [0.25, 0.75, 0, 0],\n \"94\": [0, 0.69444, 0, 0],\n \"95\": [0.31, 0.12056, 0.02778, 0],\n \"96\": [0, 0.69444, 0, 0],\n \"97\": [0, 0.43056, 0, 0],\n \"98\": [0, 0.69444, 0, 0],\n \"99\": [0, 0.43056, 0, 0],\n \"100\": [0, 0.69444, 0, 0],\n \"101\": [0, 0.43056, 0, 0],\n \"102\": [0, 0.69444, 0.07778, 0],\n \"103\": [0.19444, 0.43056, 0.01389, 0],\n \"104\": [0, 0.69444, 0, 0],\n \"105\": [0, 0.66786, 0, 0],\n \"106\": [0.19444, 0.66786, 0, 0],\n \"107\": [0, 0.69444, 0, 0],\n \"108\": [0, 0.69444, 0, 0],\n \"109\": [0, 0.43056, 0, 0],\n \"110\": [0, 0.43056, 0, 0],\n \"111\": [0, 0.43056, 0, 0],\n \"112\": [0.19444, 0.43056, 0, 0],\n \"113\": [0.19444, 0.43056, 0, 0],\n \"114\": [0, 0.43056, 0, 0],\n \"115\": [0, 0.43056, 0, 0],\n \"116\": [0, 0.61508, 0, 0],\n \"117\": [0, 0.43056, 0, 0],\n \"118\": [0, 0.43056, 0.01389, 0],\n \"119\": [0, 0.43056, 0.01389, 0],\n \"120\": [0, 0.43056, 0, 0],\n \"121\": [0.19444, 0.43056, 0.01389, 0],\n \"122\": [0, 0.43056, 0, 0],\n \"123\": [0.25, 0.75, 0, 0],\n \"124\": [0.25, 0.75, 0, 0],\n \"125\": [0.25, 0.75, 0, 0],\n \"126\": [0.35, 0.31786, 0, 0],\n \"160\": [0, 0, 0, 0],\n \"168\": [0, 0.66786, 0, 0],\n \"172\": [0, 0.43056, 0, 0],\n \"175\": [0, 0.56778, 0, 0],\n \"176\": [0, 0.69444, 0, 0],\n \"177\": [0.08333, 0.58333, 0, 0],\n \"180\": [0, 0.69444, 0, 0],\n \"215\": [0.08333, 0.58333, 0, 0],\n \"247\": [0.08333, 0.58333, 0, 0],\n \"305\": [0, 0.43056, 0, 0],\n \"567\": [0.19444, 0.43056, 0, 0],\n \"710\": [0, 0.69444, 0, 0],\n \"711\": [0, 0.62847, 0, 0],\n \"713\": [0, 0.56778, 0, 0],\n \"714\": [0, 0.69444, 0, 0],\n \"715\": [0, 0.69444, 0, 0],\n \"728\": [0, 0.69444, 0, 0],\n \"729\": [0, 0.66786, 0, 0],\n \"730\": [0, 0.69444, 0, 0],\n \"732\": [0, 0.66786, 0, 0],\n \"768\": [0, 0.69444, 0, 0],\n \"769\": [0, 0.69444, 0, 0],\n \"770\": [0, 0.69444, 0, 0],\n \"771\": [0, 0.66786, 0, 0],\n \"772\": [0, 0.56778, 0, 0],\n \"774\": [0, 0.69444, 0, 0],\n \"775\": [0, 0.66786, 0, 0],\n \"776\": [0, 0.66786, 0, 0],\n \"778\": [0, 0.69444, 0, 0],\n \"779\": [0, 0.69444, 0, 0],\n \"780\": [0, 0.62847, 0, 0],\n \"824\": [0.19444, 0.69444, 0, 0],\n \"915\": [0, 0.68333, 0, 0],\n \"916\": [0, 0.68333, 0, 0],\n \"920\": [0, 0.68333, 0, 0],\n \"923\": [0, 0.68333, 0, 0],\n \"926\": [0, 0.68333, 0, 0],\n \"928\": [0, 0.68333, 0, 0],\n \"931\": [0, 0.68333, 0, 0],\n \"933\": [0, 0.68333, 0, 0],\n \"934\": [0, 0.68333, 0, 0],\n \"936\": [0, 0.68333, 0, 0],\n \"937\": [0, 0.68333, 0, 0],\n \"8211\": [0, 0.43056, 0.02778, 0],\n \"8212\": [0, 0.43056, 0.02778, 0],\n \"8216\": [0, 0.69444, 0, 0],\n \"8217\": [0, 0.69444, 0, 0],\n \"8220\": [0, 0.69444, 0, 0],\n \"8221\": [0, 0.69444, 0, 0],\n \"8224\": [0.19444, 0.69444, 0, 0],\n \"8225\": [0.19444, 0.69444, 0, 0],\n \"8230\": [0, 0.12, 0, 0],\n \"8242\": [0, 0.55556, 0, 0],\n \"8407\": [0, 0.71444, 0.15382, 0],\n \"8463\": [0, 0.68889, 0, 0],\n \"8465\": [0, 0.69444, 0, 0],\n \"8467\": [0, 0.69444, 0, 0.11111],\n \"8472\": [0.19444, 0.43056, 0, 0.11111],\n \"8476\": [0, 0.69444, 0, 0],\n \"8501\": [0, 0.69444, 0, 0],\n \"8592\": [-0.13313, 0.36687, 0, 0],\n \"8593\": [0.19444, 0.69444, 0, 0],\n \"8594\": [-0.13313, 0.36687, 0, 0],\n \"8595\": [0.19444, 0.69444, 0, 0],\n \"8596\": [-0.13313, 0.36687, 0, 0],\n \"8597\": [0.25, 0.75, 0, 0],\n \"8598\": [0.19444, 0.69444, 0, 0],\n \"8599\": [0.19444, 0.69444, 0, 0],\n \"8600\": [0.19444, 0.69444, 0, 0],\n \"8601\": [0.19444, 0.69444, 0, 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\"982\": [0, 0.43056, 0.02778, 0],\n \"1009\": [0.19444, 0.43056, 0, 0.08334],\n \"1013\": [0, 0.43056, 0, 0.05556],\n },\n \"SansSerif-Regular\": {\n \"33\": [0, 0.69444, 0, 0],\n \"34\": [0, 0.69444, 0, 0],\n \"35\": [0.19444, 0.69444, 0, 0],\n \"36\": [0.05556, 0.75, 0, 0],\n \"37\": [0.05556, 0.75, 0, 0],\n \"38\": [0, 0.69444, 0, 0],\n \"39\": [0, 0.69444, 0, 0],\n \"40\": [0.25, 0.75, 0, 0],\n \"41\": [0.25, 0.75, 0, 0],\n \"42\": [0, 0.75, 0, 0],\n \"43\": [0.08333, 0.58333, 0, 0],\n \"44\": [0.125, 0.08333, 0, 0],\n \"45\": [0, 0.44444, 0, 0],\n \"46\": [0, 0.08333, 0, 0],\n \"47\": [0.25, 0.75, 0, 0],\n \"48\": [0, 0.65556, 0, 0],\n \"49\": [0, 0.65556, 0, 0],\n \"50\": [0, 0.65556, 0, 0],\n \"51\": [0, 0.65556, 0, 0],\n \"52\": [0, 0.65556, 0, 0],\n \"53\": [0, 0.65556, 0, 0],\n \"54\": [0, 0.65556, 0, 0],\n \"55\": [0, 0.65556, 0, 0],\n \"56\": [0, 0.65556, 0, 0],\n \"57\": [0, 0.65556, 0, 0],\n \"58\": [0, 0.44444, 0, 0],\n \"59\": [0.125, 0.44444, 0, 0],\n \"61\": [-0.13, 0.37, 0, 0],\n \"63\": [0, 0.69444, 0, 0],\n \"64\": [0, 0.69444, 0, 0],\n \"65\": [0, 0.69444, 0, 0],\n \"66\": [0, 0.69444, 0, 0],\n \"67\": [0, 0.69444, 0, 0],\n \"68\": [0, 0.69444, 0, 0],\n \"69\": [0, 0.69444, 0, 0],\n \"70\": [0, 0.69444, 0, 0],\n \"71\": [0, 0.69444, 0, 0],\n \"72\": [0, 0.69444, 0, 0],\n \"73\": [0, 0.69444, 0, 0],\n \"74\": [0, 0.69444, 0, 0],\n \"75\": [0, 0.69444, 0, 0],\n \"76\": [0, 0.69444, 0, 0],\n \"77\": [0, 0.69444, 0, 0],\n \"78\": [0, 0.69444, 0, 0],\n \"79\": [0, 0.69444, 0, 0],\n \"80\": [0, 0.69444, 0, 0],\n \"81\": [0.125, 0.69444, 0, 0],\n \"82\": [0, 0.69444, 0, 0],\n \"83\": [0, 0.69444, 0, 0],\n \"84\": [0, 0.69444, 0, 0],\n \"85\": [0, 0.69444, 0, 0],\n \"86\": [0, 0.69444, 0.01389, 0],\n \"87\": [0, 0.69444, 0.01389, 0],\n \"88\": [0, 0.69444, 0, 0],\n \"89\": [0, 0.69444, 0.025, 0],\n \"90\": [0, 0.69444, 0, 0],\n \"91\": [0.25, 0.75, 0, 0],\n \"93\": [0.25, 0.75, 0, 0],\n \"94\": [0, 0.69444, 0, 0],\n \"95\": [0.35, 0.09444, 0.02778, 0],\n \"97\": [0, 0.44444, 0, 0],\n \"98\": [0, 0.69444, 0, 0],\n \"99\": [0, 0.44444, 0, 0],\n \"100\": [0, 0.69444, 0, 0],\n \"101\": [0, 0.44444, 0, 0],\n \"102\": [0, 0.69444, 0.06944, 0],\n \"103\": [0.19444, 0.44444, 0.01389, 0],\n \"104\": [0, 0.69444, 0, 0],\n \"105\": [0, 0.67937, 0, 0],\n \"106\": [0.19444, 0.67937, 0, 0],\n \"107\": [0, 0.69444, 0, 0],\n \"108\": [0, 0.69444, 0, 0],\n \"109\": [0, 0.44444, 0, 0],\n \"110\": [0, 0.44444, 0, 0],\n \"111\": [0, 0.44444, 0, 0],\n \"112\": [0.19444, 0.44444, 0, 0],\n \"113\": [0.19444, 0.44444, 0, 0],\n \"114\": [0, 0.44444, 0.01389, 0],\n \"115\": [0, 0.44444, 0, 0],\n \"116\": [0, 0.57143, 0, 0],\n \"117\": [0, 0.44444, 0, 0],\n \"118\": [0, 0.44444, 0.01389, 0],\n \"119\": [0, 0.44444, 0.01389, 0],\n \"120\": [0, 0.44444, 0, 0],\n \"121\": [0.19444, 0.44444, 0.01389, 0],\n \"122\": [0, 0.44444, 0, 0],\n \"126\": [0.35, 0.32659, 0, 0],\n \"305\": [0, 0.44444, 0, 0],\n \"567\": [0.19444, 0.44444, 0, 0],\n \"768\": [0, 0.69444, 0, 0],\n \"769\": [0, 0.69444, 0, 0],\n \"770\": [0, 0.69444, 0, 0],\n \"771\": [0, 0.67659, 0, 0],\n \"772\": [0, 0.60889, 0, 0],\n \"774\": [0, 0.69444, 0, 0],\n \"775\": [0, 0.67937, 0, 0],\n \"776\": [0, 0.67937, 0, 0],\n \"778\": [0, 0.69444, 0, 0],\n \"779\": [0, 0.69444, 0, 0],\n \"780\": [0, 0.63194, 0, 0],\n \"915\": [0, 0.69444, 0, 0],\n \"916\": [0, 0.69444, 0, 0],\n \"920\": [0, 0.69444, 0, 0],\n \"923\": [0, 0.69444, 0, 0],\n \"926\": [0, 0.69444, 0, 0],\n \"928\": [0, 0.69444, 0, 0],\n \"931\": [0, 0.69444, 0, 0],\n \"933\": [0, 0.69444, 0, 0],\n \"934\": [0, 0.69444, 0, 0],\n \"936\": [0, 0.69444, 0, 0],\n \"937\": [0, 0.69444, 0, 0],\n \"8211\": [0, 0.44444, 0.02778, 0],\n \"8212\": [0, 0.44444, 0.02778, 0],\n \"8216\": [0, 0.69444, 0, 0],\n \"8217\": [0, 0.69444, 0, 0],\n \"8220\": [0, 0.69444, 0, 0],\n \"8221\": [0, 0.69444, 0, 0],\n },\n \"Script-Regular\": {\n \"65\": [0, 0.7, 0.22925, 0],\n \"66\": [0, 0.7, 0.04087, 0],\n \"67\": [0, 0.7, 0.1689, 0],\n \"68\": [0, 0.7, 0.09371, 0],\n \"69\": [0, 0.7, 0.18583, 0],\n \"70\": [0, 0.7, 0.13634, 0],\n \"71\": [0, 0.7, 0.17322, 0],\n \"72\": [0, 0.7, 0.29694, 0],\n \"73\": [0, 0.7, 0.19189, 0],\n \"74\": [0.27778, 0.7, 0.19189, 0],\n \"75\": [0, 0.7, 0.31259, 0],\n \"76\": [0, 0.7, 0.19189, 0],\n \"77\": [0, 0.7, 0.15981, 0],\n \"78\": [0, 0.7, 0.3525, 0],\n \"79\": [0, 0.7, 0.08078, 0],\n \"80\": [0, 0.7, 0.08078, 0],\n \"81\": [0, 0.7, 0.03305, 0],\n \"82\": [0, 0.7, 0.06259, 0],\n \"83\": [0, 0.7, 0.19189, 0],\n \"84\": [0, 0.7, 0.29087, 0],\n \"85\": [0, 0.7, 0.25815, 0],\n \"86\": [0, 0.7, 0.27523, 0],\n \"87\": [0, 0.7, 0.27523, 0],\n \"88\": [0, 0.7, 0.26006, 0],\n \"89\": [0, 0.7, 0.2939, 0],\n \"90\": [0, 0.7, 0.24037, 0],\n },\n \"Size1-Regular\": {\n \"40\": [0.35001, 0.85, 0, 0],\n \"41\": [0.35001, 0.85, 0, 0],\n \"47\": [0.35001, 0.85, 0, 0],\n \"91\": [0.35001, 0.85, 0, 0],\n \"92\": [0.35001, 0.85, 0, 0],\n \"93\": [0.35001, 0.85, 0, 0],\n \"123\": [0.35001, 0.85, 0, 0],\n \"125\": [0.35001, 0.85, 0, 0],\n \"710\": [0, 0.72222, 0, 0],\n \"732\": [0, 0.72222, 0, 0],\n \"770\": [0, 0.72222, 0, 0],\n \"771\": [0, 0.72222, 0, 0],\n \"8214\": [-0.00099, 0.601, 0, 0],\n \"8593\": [1e-05, 0.6, 0, 0],\n \"8595\": [1e-05, 0.6, 0, 0],\n \"8657\": [1e-05, 0.6, 0, 0],\n \"8659\": [1e-05, 0.6, 0, 0],\n \"8719\": [0.25001, 0.75, 0, 0],\n \"8720\": [0.25001, 0.75, 0, 0],\n \"8721\": [0.25001, 0.75, 0, 0],\n \"8730\": [0.35001, 0.85, 0, 0],\n \"8739\": [-0.00599, 0.606, 0, 0],\n \"8741\": [-0.00599, 0.606, 0, 0],\n \"8747\": [0.30612, 0.805, 0.19445, 0],\n \"8748\": [0.306, 0.805, 0.19445, 0],\n \"8749\": [0.306, 0.805, 0.19445, 0],\n \"8750\": [0.30612, 0.805, 0.19445, 0],\n \"8896\": [0.25001, 0.75, 0, 0],\n \"8897\": [0.25001, 0.75, 0, 0],\n \"8898\": [0.25001, 0.75, 0, 0],\n \"8899\": [0.25001, 0.75, 0, 0],\n \"8968\": [0.35001, 0.85, 0, 0],\n \"8969\": [0.35001, 0.85, 0, 0],\n \"8970\": [0.35001, 0.85, 0, 0],\n \"8971\": [0.35001, 0.85, 0, 0],\n \"9168\": [-0.00099, 0.601, 0, 0],\n \"10216\": [0.35001, 0.85, 0, 0],\n \"10217\": [0.35001, 0.85, 0, 0],\n \"10752\": [0.25001, 0.75, 0, 0],\n \"10753\": [0.25001, 0.75, 0, 0],\n \"10754\": [0.25001, 0.75, 0, 0],\n \"10756\": [0.25001, 0.75, 0, 0],\n \"10758\": [0.25001, 0.75, 0, 0],\n },\n \"Size2-Regular\": {\n \"40\": [0.65002, 1.15, 0, 0],\n \"41\": [0.65002, 1.15, 0, 0],\n \"47\": [0.65002, 1.15, 0, 0],\n \"91\": [0.65002, 1.15, 0, 0],\n \"92\": [0.65002, 1.15, 0, 0],\n \"93\": [0.65002, 1.15, 0, 0],\n \"123\": [0.65002, 1.15, 0, 0],\n \"125\": [0.65002, 1.15, 0, 0],\n \"710\": [0, 0.75, 0, 0],\n \"732\": [0, 0.75, 0, 0],\n \"770\": [0, 0.75, 0, 0],\n \"771\": [0, 0.75, 0, 0],\n \"8719\": [0.55001, 1.05, 0, 0],\n \"8720\": [0.55001, 1.05, 0, 0],\n \"8721\": [0.55001, 1.05, 0, 0],\n \"8730\": [0.65002, 1.15, 0, 0],\n \"8747\": [0.86225, 1.36, 0.44445, 0],\n \"8748\": [0.862, 1.36, 0.44445, 0],\n \"8749\": [0.862, 1.36, 0.44445, 0],\n \"8750\": [0.86225, 1.36, 0.44445, 0],\n \"8896\": [0.55001, 1.05, 0, 0],\n \"8897\": [0.55001, 1.05, 0, 0],\n \"8898\": [0.55001, 1.05, 0, 0],\n \"8899\": [0.55001, 1.05, 0, 0],\n \"8968\": [0.65002, 1.15, 0, 0],\n \"8969\": [0.65002, 1.15, 0, 0],\n \"8970\": [0.65002, 1.15, 0, 0],\n \"8971\": [0.65002, 1.15, 0, 0],\n \"10216\": [0.65002, 1.15, 0, 0],\n \"10217\": [0.65002, 1.15, 0, 0],\n \"10752\": [0.55001, 1.05, 0, 0],\n \"10753\": [0.55001, 1.05, 0, 0],\n \"10754\": [0.55001, 1.05, 0, 0],\n \"10756\": [0.55001, 1.05, 0, 0],\n \"10758\": [0.55001, 1.05, 0, 0],\n },\n \"Size3-Regular\": {\n \"40\": [0.95003, 1.45, 0, 0],\n \"41\": [0.95003, 1.45, 0, 0],\n \"47\": [0.95003, 1.45, 0, 0],\n \"91\": [0.95003, 1.45, 0, 0],\n \"92\": [0.95003, 1.45, 0, 0],\n \"93\": [0.95003, 1.45, 0, 0],\n \"123\": [0.95003, 1.45, 0, 0],\n \"125\": [0.95003, 1.45, 0, 0],\n \"710\": [0, 0.75, 0, 0],\n \"732\": [0, 0.75, 0, 0],\n \"770\": [0, 0.75, 0, 0],\n \"771\": [0, 0.75, 0, 0],\n \"8730\": [0.95003, 1.45, 0, 0],\n \"8968\": [0.95003, 1.45, 0, 0],\n \"8969\": [0.95003, 1.45, 0, 0],\n \"8970\": [0.95003, 1.45, 0, 0],\n \"8971\": [0.95003, 1.45, 0, 0],\n \"10216\": [0.95003, 1.45, 0, 0],\n \"10217\": [0.95003, 1.45, 0, 0],\n },\n \"Size4-Regular\": {\n \"40\": [1.25003, 1.75, 0, 0],\n \"41\": [1.25003, 1.75, 0, 0],\n \"47\": [1.25003, 1.75, 0, 0],\n \"91\": [1.25003, 1.75, 0, 0],\n \"92\": [1.25003, 1.75, 0, 0],\n \"93\": [1.25003, 1.75, 0, 0],\n \"123\": [1.25003, 1.75, 0, 0],\n \"125\": [1.25003, 1.75, 0, 0],\n \"710\": [0, 0.825, 0, 0],\n \"732\": [0, 0.825, 0, 0],\n \"770\": [0, 0.825, 0, 0],\n \"771\": [0, 0.825, 0, 0],\n \"8730\": [1.25003, 1.75, 0, 0],\n \"8968\": [1.25003, 1.75, 0, 0],\n \"8969\": [1.25003, 1.75, 0, 0],\n \"8970\": [1.25003, 1.75, 0, 0],\n \"8971\": [1.25003, 1.75, 0, 0],\n \"9115\": [0.64502, 1.155, 0, 0],\n \"9116\": [1e-05, 0.6, 0, 0],\n \"9117\": [0.64502, 1.155, 0, 0],\n \"9118\": [0.64502, 1.155, 0, 0],\n \"9119\": [1e-05, 0.6, 0, 0],\n \"9120\": [0.64502, 1.155, 0, 0],\n \"9121\": [0.64502, 1.155, 0, 0],\n \"9122\": [-0.00099, 0.601, 0, 0],\n \"9123\": [0.64502, 1.155, 0, 0],\n \"9124\": [0.64502, 1.155, 0, 0],\n \"9125\": [-0.00099, 0.601, 0, 0],\n \"9126\": [0.64502, 1.155, 0, 0],\n \"9127\": [1e-05, 0.9, 0, 0],\n \"9128\": [0.65002, 1.15, 0, 0],\n \"9129\": [0.90001, 0, 0, 0],\n \"9130\": [0, 0.3, 0, 0],\n \"9131\": [1e-05, 0.9, 0, 0],\n \"9132\": [0.65002, 1.15, 0, 0],\n \"9133\": [0.90001, 0, 0, 0],\n \"9143\": [0.88502, 0.915, 0, 0],\n \"10216\": [1.25003, 1.75, 0, 0],\n \"10217\": [1.25003, 1.75, 0, 0],\n \"57344\": [-0.00499, 0.605, 0, 0],\n \"57345\": [-0.00499, 0.605, 0, 0],\n \"57680\": [0, 0.12, 0, 0],\n \"57681\": [0, 0.12, 0, 0],\n \"57682\": [0, 0.12, 0, 0],\n \"57683\": [0, 0.12, 0, 0],\n },\n \"Typewriter-Regular\": {\n \"33\": [0, 0.61111, 0, 0],\n \"34\": [0, 0.61111, 0, 0],\n \"35\": [0, 0.61111, 0, 0],\n \"36\": [0.08333, 0.69444, 0, 0],\n \"37\": [0.08333, 0.69444, 0, 0],\n \"38\": [0, 0.61111, 0, 0],\n \"39\": [0, 0.61111, 0, 0],\n \"40\": [0.08333, 0.69444, 0, 0],\n \"41\": [0.08333, 0.69444, 0, 0],\n \"42\": [0, 0.52083, 0, 0],\n \"43\": [-0.08056, 0.53055, 0, 0],\n \"44\": [0.13889, 0.125, 0, 0],\n \"45\": [-0.08056, 0.53055, 0, 0],\n \"46\": [0, 0.125, 0, 0],\n \"47\": [0.08333, 0.69444, 0, 0],\n \"48\": [0, 0.61111, 0, 0],\n \"49\": [0, 0.61111, 0, 0],\n \"50\": [0, 0.61111, 0, 0],\n \"51\": [0, 0.61111, 0, 0],\n \"52\": [0, 0.61111, 0, 0],\n \"53\": [0, 0.61111, 0, 0],\n \"54\": [0, 0.61111, 0, 0],\n \"55\": [0, 0.61111, 0, 0],\n \"56\": [0, 0.61111, 0, 0],\n \"57\": [0, 0.61111, 0, 0],\n \"58\": [0, 0.43056, 0, 0],\n \"59\": [0.13889, 0.43056, 0, 0],\n \"60\": [-0.05556, 0.55556, 0, 0],\n \"61\": [-0.19549, 0.41562, 0, 0],\n \"62\": [-0.05556, 0.55556, 0, 0],\n \"63\": [0, 0.61111, 0, 0],\n \"64\": [0, 0.61111, 0, 0],\n \"65\": [0, 0.61111, 0, 0],\n \"66\": [0, 0.61111, 0, 0],\n \"67\": [0, 0.61111, 0, 0],\n \"68\": [0, 0.61111, 0, 0],\n \"69\": [0, 0.61111, 0, 0],\n \"70\": [0, 0.61111, 0, 0],\n \"71\": [0, 0.61111, 0, 0],\n \"72\": [0, 0.61111, 0, 0],\n \"73\": [0, 0.61111, 0, 0],\n \"74\": [0, 0.61111, 0, 0],\n \"75\": [0, 0.61111, 0, 0],\n \"76\": [0, 0.61111, 0, 0],\n \"77\": [0, 0.61111, 0, 0],\n \"78\": [0, 0.61111, 0, 0],\n \"79\": [0, 0.61111, 0, 0],\n \"80\": [0, 0.61111, 0, 0],\n \"81\": [0.13889, 0.61111, 0, 0],\n \"82\": [0, 0.61111, 0, 0],\n \"83\": [0, 0.61111, 0, 0],\n \"84\": [0, 0.61111, 0, 0],\n \"85\": [0, 0.61111, 0, 0],\n \"86\": [0, 0.61111, 0, 0],\n \"87\": [0, 0.61111, 0, 0],\n \"88\": [0, 0.61111, 0, 0],\n \"89\": [0, 0.61111, 0, 0],\n \"90\": [0, 0.61111, 0, 0],\n \"91\": [0.08333, 0.69444, 0, 0],\n \"92\": [0.08333, 0.69444, 0, 0],\n \"93\": [0.08333, 0.69444, 0, 0],\n \"94\": [0, 0.61111, 0, 0],\n \"95\": [0.09514, 0, 0, 0],\n \"96\": [0, 0.61111, 0, 0],\n \"97\": [0, 0.43056, 0, 0],\n \"98\": [0, 0.61111, 0, 0],\n \"99\": [0, 0.43056, 0, 0],\n \"100\": [0, 0.61111, 0, 0],\n \"101\": [0, 0.43056, 0, 0],\n \"102\": [0, 0.61111, 0, 0],\n \"103\": [0.22222, 0.43056, 0, 0],\n \"104\": [0, 0.61111, 0, 0],\n \"105\": [0, 0.61111, 0, 0],\n \"106\": [0.22222, 0.61111, 0, 0],\n \"107\": [0, 0.61111, 0, 0],\n \"108\": [0, 0.61111, 0, 0],\n \"109\": [0, 0.43056, 0, 0],\n \"110\": [0, 0.43056, 0, 0],\n \"111\": [0, 0.43056, 0, 0],\n \"112\": [0.22222, 0.43056, 0, 0],\n \"113\": [0.22222, 0.43056, 0, 0],\n \"114\": [0, 0.43056, 0, 0],\n \"115\": [0, 0.43056, 0, 0],\n \"116\": [0, 0.55358, 0, 0],\n \"117\": [0, 0.43056, 0, 0],\n \"118\": [0, 0.43056, 0, 0],\n \"119\": [0, 0.43056, 0, 0],\n \"120\": [0, 0.43056, 0, 0],\n \"121\": [0.22222, 0.43056, 0, 0],\n \"122\": [0, 0.43056, 0, 0],\n \"123\": [0.08333, 0.69444, 0, 0],\n \"124\": [0.08333, 0.69444, 0, 0],\n \"125\": [0.08333, 0.69444, 0, 0],\n \"126\": [0, 0.61111, 0, 0],\n \"127\": [0, 0.61111, 0, 0],\n \"305\": [0, 0.43056, 0, 0],\n \"567\": [0.22222, 0.43056, 0, 0],\n \"768\": [0, 0.61111, 0, 0],\n \"769\": [0, 0.61111, 0, 0],\n \"770\": [0, 0.61111, 0, 0],\n \"771\": [0, 0.61111, 0, 0],\n \"772\": [0, 0.56555, 0, 0],\n \"774\": [0, 0.61111, 0, 0],\n \"776\": [0, 0.61111, 0, 0],\n \"778\": [0, 0.61111, 0, 0],\n \"780\": [0, 0.56597, 0, 0],\n \"915\": [0, 0.61111, 0, 0],\n \"916\": [0, 0.61111, 0, 0],\n \"920\": [0, 0.61111, 0, 0],\n \"923\": [0, 0.61111, 0, 0],\n \"926\": [0, 0.61111, 0, 0],\n \"928\": [0, 0.61111, 0, 0],\n \"931\": [0, 0.61111, 0, 0],\n \"933\": [0, 0.61111, 0, 0],\n \"934\": [0, 0.61111, 0, 0],\n \"936\": [0, 0.61111, 0, 0],\n \"937\": [0, 0.61111, 0, 0],\n \"2018\": [0, 0.61111, 0, 0],\n \"2019\": [0, 0.61111, 0, 0],\n \"8242\": [0, 0.61111, 0, 0],\n },\n};\n"
},
{
"path": "pix2tex/dataset/preprocessing/third_party/katex/src/functions.js",
"content": "var utils = require(\"./utils\");\nvar ParseError = require(\"./ParseError\");\n\n/* This file contains a list of functions that we parse, identified by\n * the calls to defineFunction.\n *\n * The first argument to defineFunction is a single name or a list of names.\n * All functions named in such a list will share a single implementation.\n *\n * Each declared function can have associated properties, which\n * include the following:\n *\n * - numArgs: The number of arguments the function takes.\n * If this is the only property, it can be passed as a number\n * instead of an element of a properties object.\n * - argTypes: (optional) An array corresponding to each argument of the\n * function, giving the type of argument that should be parsed. Its\n * length should be equal to `numArgs + numOptionalArgs`. Valid\n * types:\n * - \"size\": A size-like thing, such as \"1em\" or \"5ex\"\n * - \"color\": An html color, like \"#abc\" or \"blue\"\n * - \"original\": The same type as the environment that the\n * function being parsed is in (e.g. used for the\n * bodies of functions like \\color where the first\n * argument is special and the second argument is\n * parsed normally)\n * Other possible types (probably shouldn't be used)\n * - \"text\": Text-like (e.g. \\text)\n * - \"math\": Normal math\n * If undefined, this will be treated as an appropriate length\n * array of \"original\" strings\n * - greediness: (optional) The greediness of the function to use ungrouped\n * arguments.\n *\n * E.g. if you have an expression\n * \\sqrt \\frac 1 2\n * since \\frac has greediness=2 vs \\sqrt's greediness=1, \\frac\n * will use the two arguments '1' and '2' as its two arguments,\n * then that whole function will be used as the argument to\n * \\sqrt. On the other hand, the expressions\n * \\frac \\frac 1 2 3\n * and\n * \\frac \\sqrt 1 2\n * will fail because \\frac and \\frac have equal greediness\n * and \\sqrt has a lower greediness than \\frac respectively. To\n * make these parse, we would have to change them to:\n * \\frac {\\frac 1 2} 3\n * and\n * \\frac {\\sqrt 1} 2\n *\n * The default value is `1`\n * - allowedInText: (optional) Whether or not the function is allowed inside\n * text mode (default false)\n * - numOptionalArgs: (optional) The number of optional arguments the function\n * should parse. If the optional arguments aren't found,\n * `null` will be passed to the handler in their place.\n * (default 0)\n *\n * The last argument is that implementation, the handler for the function(s).\n * It is called to handle these functions and their arguments.\n * It receives two arguments:\n * - context contains information and references provided by the parser\n * - args is an array of arguments obtained from TeX input\n * The context contains the following properties:\n * - funcName: the text (i.e. name) of the function, including \\\n * - parser: the parser object\n * - lexer: the lexer object\n * - positions: the positions in the overall string of the function\n * and the arguments.\n * The latter three should only be used to produce error messages.\n *\n * The function should return an object with the following keys:\n * - type: The type of element that this is. This is then used in\n * buildHTML/buildMathML to determine which function\n * should be called to build this node into a DOM node\n * Any other data can be added to the object, which will be passed\n * in to the function in buildHTML/buildMathML as `group.value`.\n */\n\nfunction defineFunction(names, props, handler) {\n if (typeof names === \"string\") {\n names = [names];\n }\n if (typeof props === \"number\") {\n props = { numArgs: props };\n }\n // Set default values of functions\n var data = {\n numArgs: props.numArgs,\n argTypes: props.argTypes,\n greediness: (props.greediness === undefined) ? 1 : props.greediness,\n allowedInText: !!props.allowedInText,\n numOptionalArgs: props.numOptionalArgs || 0,\n handler: handler,\n };\n for (var i = 0; i < names.length; ++i) {\n module.exports[names[i]] = data;\n }\n}\n\n// A normal square root\ndefineFunction(\"\\\\sqrt\", {\n numArgs: 1,\n numOptionalArgs: 1,\n}, function(context, args) {\n var index = args[0];\n var body = args[1];\n return {\n type: \"sqrt\",\n body: body,\n index: index,\n };\n});\n\n// Some non-mathy text\ndefineFunction([\"\\\\text\", \"\\\\mbox\", \"\\\\hbox\", \"\\\\vbox\"], {\n numArgs: 1,\n argTypes: [\"text\"],\n greediness: 2,\n}, function(context, args) {\n var body = args[0];\n // Since the corresponding buildHTML/buildMathML function expects a\n // list of elements, we normalize for different kinds of arguments\n // TODO(emily): maybe this should be done somewhere else\n var inner;\n if (body.type === \"ordgroup\") {\n inner = body.value;\n } else {\n inner = [body];\n }\n\n return {\n type: \"text\",\n body: inner,\n };\n});\n\n// A two-argument custom color\ndefineFunction(\"\\\\color\", {\n numArgs: 2,\n allowedInText: true,\n greediness: 3,\n argTypes: [\"color\", \"original\"],\n}, function(context, args) {\n var color = args[0];\n var body = args[1];\n // Normalize the different kinds of bodies (see \\text above)\n var inner;\n if (body.type === \"ordgroup\") {\n inner = body.value;\n } else {\n inner = [body];\n }\n\n return {\n type: \"color\",\n color: color.value,\n value: inner,\n };\n});\n\n// An overline\ndefineFunction(\"\\\\overline\", {\n numArgs: 1,\n}, function(context, args) {\n var body = args[0];\n return {\n type: \"overline\",\n body: body,\n };\n});\n\n// An underline\ndefineFunction(\"\\\\underline\", {\n numArgs: 1,\n}, function(context, args) {\n var body = args[0];\n return {\n type: \"underline\",\n body: body,\n };\n});\n\n// A box of the width and height\ndefineFunction(\"\\\\rule\", {\n numArgs: 2,\n numOptionalArgs: 1,\n argTypes: [\"size\", \"size\", \"size\"],\n}, function(context, args) {\n var shift = args[0];\n var width = args[1];\n var height = args[2];\n return {\n type: \"rule\",\n shift: shift && shift.value,\n width: width.value,\n height: height.value,\n };\n});\n\n// A KaTeX logo\ndefineFunction(\"\\\\KaTeX\", {\n numArgs: 0,\n}, function(context) {\n return {\n type: \"katex\",\n };\n});\n\ndefineFunction(\"\\\\phantom\", {\n numArgs: 1,\n}, function(context, args) {\n var body = args[0];\n var inner;\n if (body.type === \"ordgroup\") {\n inner = body.value;\n } else {\n inner = [body];\n }\n\n return {\n type: \"phantom\",\n value: inner,\n };\n});\n\n// Extra data needed for the delimiter handler down below\nvar delimiterSizes = {\n \"\\\\bigl\" : {type: \"open\", size: 1},\n \"\\\\Bigl\" : {type: \"open\", size: 2},\n \"\\\\biggl\": {type: \"open\", size: 3},\n \"\\\\Biggl\": {type: \"open\", size: 4},\n \"\\\\bigr\" : {type: \"close\", size: 1},\n \"\\\\Bigr\" : {type: \"close\", size: 2},\n \"\\\\biggr\": {type: \"close\", size: 3},\n \"\\\\Biggr\": {type: \"close\", size: 4},\n \"\\\\bigm\" : {type: \"rel\", size: 1},\n \"\\\\Bigm\" : {type: \"rel\", size: 2},\n \"\\\\biggm\": {type: \"rel\", size: 3},\n \"\\\\Biggm\": {type: \"rel\", size: 4},\n \"\\\\big\" : {type: \"textord\", size: 1},\n \"\\\\Big\" : {type: \"textord\", size: 2},\n \"\\\\bigg\" : {type: \"textord\", size: 3},\n \"\\\\Bigg\" : {type: \"textord\", size: 4},\n};\n\nvar delimiters = [\n \"(\", \")\", \"[\", \"\\\\lbrack\", \"]\", \"\\\\rbrack\",\n \"\\\\{\", \"\\\\lbrace\", \"\\\\}\", \"\\\\rbrace\",\n \"\\\\lfloor\", \"\\\\rfloor\", \"\\\\lceil\", \"\\\\rceil\",\n \"<\", \">\", \"\\\\langle\", \"\\\\rangle\", \"\\\\lt\", \"\\\\gt\",\n \"\\\\lvert\", \"\\\\rvert\", \"\\\\lVert\", \"\\\\rVert\",\n \"\\\\lgroup\", \"\\\\rgroup\", \"\\\\lmoustache\", \"\\\\rmoustache\",\n \"/\", \"\\\\backslash\",\n \"|\", \"\\\\vert\", \"\\\\|\", \"\\\\Vert\",\n \"\\\\uparrow\", \"\\\\Uparrow\",\n \"\\\\downarrow\", \"\\\\Downarrow\",\n \"\\\\updownarrow\", \"\\\\Updownarrow\",\n \".\",\n];\n\nvar fontAliases = {\n \"\\\\Bbb\": \"\\\\mathbb\",\n \"\\\\bold\": \"\\\\mathbf\",\n \"\\\\frak\": \"\\\\mathfrak\",\n};\n\n// Single-argument color functions\ndefineFunction([\n \"\\\\blue\", \"\\\\orange\", \"\\\\pink\", \"\\\\red\",\n \"\\\\green\", \"\\\\gray\", \"\\\\purple\",\n \"\\\\blueA\", \"\\\\blueB\", \"\\\\blueC\", \"\\\\blueD\", \"\\\\blueE\",\n \"\\\\tealA\", \"\\\\tealB\", \"\\\\tealC\", \"\\\\tealD\", \"\\\\tealE\",\n \"\\\\greenA\", \"\\\\greenB\", \"\\\\greenC\", \"\\\\greenD\", \"\\\\greenE\",\n \"\\\\goldA\", \"\\\\goldB\", \"\\\\goldC\", \"\\\\goldD\", \"\\\\goldE\",\n \"\\\\redA\", \"\\\\redB\", \"\\\\redC\", \"\\\\redD\", \"\\\\redE\",\n \"\\\\maroonA\", \"\\\\maroonB\", \"\\\\maroonC\", \"\\\\maroonD\", \"\\\\maroonE\",\n \"\\\\purpleA\", \"\\\\purpleB\", \"\\\\purpleC\", \"\\\\purpleD\", \"\\\\purpleE\",\n \"\\\\mintA\", \"\\\\mintB\", \"\\\\mintC\",\n \"\\\\grayA\", \"\\\\grayB\", \"\\\\grayC\", \"\\\\grayD\", \"\\\\grayE\",\n \"\\\\grayF\", \"\\\\grayG\", \"\\\\grayH\", \"\\\\grayI\",\n \"\\\\kaBlue\", \"\\\\kaGreen\",\n], {\n numArgs: 1,\n allowedInText: true,\n greediness: 3,\n}, function(context, args) {\n var body = args[0];\n var atoms;\n if (body.type === \"ordgroup\") {\n atoms = body.value;\n } else {\n atoms = [body];\n }\n\n return {\n type: \"color\",\n color: \"katex-\" + context.funcName.slice(1),\n value: atoms,\n };\n});\n\n// There are 2 flags for operators; whether they produce limits in\n// displaystyle, and whether they are symbols and should grow in\n// displaystyle. These four groups cover the four possible choices.\n\n// No limits, not symbols\ndefineFunction([\n \"\\\\arcsin\", \"\\\\arccos\", \"\\\\arctan\", \"\\\\arg\", \"\\\\cos\", \"\\\\cosh\",\n \"\\\\cot\", \"\\\\coth\", \"\\\\csc\", \"\\\\deg\", \"\\\\dim\", \"\\\\exp\", \"\\\\hom\",\n \"\\\\ker\", \"\\\\lg\", \"\\\\ln\", \"\\\\log\", \"\\\\sec\", \"\\\\sin\", \"\\\\sinh\",\n \"\\\\tan\", \"\\\\tanh\",\n], {\n numArgs: 0,\n}, function(context) {\n return {\n type: \"op\",\n limits: false,\n symbol: false,\n body: context.funcName,\n };\n});\n\n// Limits, not symbols\ndefineFunction([\n \"\\\\det\", \"\\\\gcd\", \"\\\\inf\", \"\\\\lim\", \"\\\\liminf\", \"\\\\limsup\", \"\\\\max\",\n \"\\\\min\", \"\\\\Pr\", \"\\\\sup\",\n], {\n numArgs: 0,\n}, function(context) {\n return {\n type: \"op\",\n limits: true,\n symbol: false,\n body: context.funcName,\n };\n});\n\n// No limits, symbols\ndefineFunction([\n \"\\\\int\", \"\\\\iint\", \"\\\\iiint\", \"\\\\oint\",\n], {\n numArgs: 0,\n}, function(context) {\n return {\n type: \"op\",\n limits: false,\n symbol: true,\n body: context.funcName,\n };\n});\n\n// Limits, symbols\ndefineFunction([\n \"\\\\coprod\", \"\\\\bigvee\", \"\\\\bigwedge\", \"\\\\biguplus\", \"\\\\bigcap\",\n \"\\\\bigcup\", \"\\\\intop\", \"\\\\prod\", \"\\\\sum\", \"\\\\bigotimes\",\n \"\\\\bigoplus\", \"\\\\bigodot\", \"\\\\bigsqcup\", \"\\\\smallint\",\n], {\n numArgs: 0,\n}, function(context) {\n return {\n type: \"op\",\n limits: true,\n symbol: true,\n body: context.funcName,\n };\n});\n\n// Fractions\ndefineFunction([\n \"\\\\dfrac\", \"\\\\frac\", \"\\\\tfrac\",\n \"\\\\dbinom\", \"\\\\binom\", \"\\\\tbinom\",\n], {\n numArgs: 2,\n greediness: 2,\n}, function(context, args) {\n var numer = args[0];\n var denom = args[1];\n var hasBarLine;\n var leftDelim = null;\n var rightDelim = null;\n var size = \"auto\";\n\n switch (context.funcName) {\n case \"\\\\dfrac\":\n case \"\\\\frac\":\n case \"\\\\tfrac\":\n hasBarLine = true;\n break;\n case \"\\\\dbinom\":\n case \"\\\\binom\":\n case \"\\\\tbinom\":\n hasBarLine = false;\n leftDelim = \"(\";\n rightDelim = \")\";\n break;\n default:\n throw new Error(\"Unrecognized genfrac command\");\n }\n\n switch (context.funcName) {\n case \"\\\\dfrac\":\n case \"\\\\dbinom\":\n size = \"display\";\n break;\n case \"\\\\tfrac\":\n case \"\\\\tbinom\":\n size = \"text\";\n break;\n }\n\n return {\n type: \"genfrac\",\n numer: numer,\n denom: denom,\n hasBarLine: hasBarLine,\n leftDelim: leftDelim,\n rightDelim: rightDelim,\n size: size,\n };\n});\n\n// Left and right overlap functions\ndefineFunction([\"\\\\llap\", \"\\\\rlap\"], {\n numArgs: 1,\n allowedInText: true,\n}, function(context, args) {\n var body = args[0];\n return {\n type: context.funcName.slice(1),\n body: body,\n };\n});\n\n// Delimiter functions\ndefineFunction([\n \"\\\\bigl\", \"\\\\Bigl\", \"\\\\biggl\", \"\\\\Biggl\",\n \"\\\\bigr\", \"\\\\Bigr\", \"\\\\biggr\", \"\\\\Biggr\",\n \"\\\\bigm\", \"\\\\Bigm\", \"\\\\biggm\", \"\\\\Biggm\",\n \"\\\\big\", \"\\\\Big\", \"\\\\bigg\", \"\\\\Bigg\",\n \"\\\\left\", \"\\\\right\"\n], {\n numArgs: 1,\n}, function(context, args) {\n var delim = args[0];\n if (!utils.contains(delimiters, delim.value)) {\n throw new ParseError(\n \"Invalid delimiter: '\" + delim.value + \"' after '\" +\n context.funcName + \"'\",\n context.lexer, context.positions[1]);\n }\n\n // \\left and \\right are caught somewhere in Parser.js, which is\n // why this data doesn't match what is in buildHTML.\n if (context.funcName === \"\\\\left\" || context.funcName === \"\\\\right\") {\n return {\n type: \"leftright\",\n value: delim.value,\n funcName: context.funcName\n };\n } else {\n return {\n type: \"delimsizing\",\n size: delimiterSizes[context.funcName].size,\n delimType: delimiterSizes[context.funcName].type,\n value: delim.value,\n funcName: context.funcName\n };\n }\n});\n\n// Sizing functions (handled in Parser.js explicitly, hence no handler)\ndefineFunction([\n \"\\\\tiny\", \"\\\\scriptsize\", \"\\\\footnotesize\", \"\\\\small\",\n \"\\\\normalsize\", \"\\\\large\", \"\\\\Large\", \"\\\\LARGE\", \"\\\\huge\", \"\\\\Huge\", \"\\\\textrm\", \"\\\\rm\", \"\\\\cal\", \"\\\\bf\", \"\\\\siptstyle\", \"\\\\boldmath\", \"\\\\it\"\n], 0, null);\n\n// Style changing functions (handled in Parser.js explicitly, hence no\n// handler)\ndefineFunction([\n \"\\\\displaystyle\", \"\\\\textstyle\", \"\\\\scriptstyle\",\n \"\\\\scriptscriptstyle\",\n], 0, null);\n\ndefineFunction([\n // styles\n \"\\\\mathrm\", \"\\\\mathit\", \"\\\\mathbf\",\"\\\\mathop\",\"\\\\stackrel\",\n\n // families\n \"\\\\mathbb\", \"\\\\mathcal\", \"\\\\mathfrak\", \"\\\\mathscr\", \"\\\\mathsf\",\n \"\\\\mathtt\",\n\n \"\\\\label\", \"\\\\comment\", \"\\\\hspace\", \"\\\\vspace\", \"\\\\atop\", \"\\\\fbox\", \"\\\\tag\", \"\\\\makebox\",\n \"\\\\raisebox\", \"\\\\framebox\", \"\\\\circle\", \"\\\\line\", \"\\\\put\", \"\\\\vphantom\", \"\\\\textup\", \"\\\\noalign\",\n \n // aliases\n \"\\\\Bbb\", \"\\\\bold\", \"\\\\frak\",\n], {\n numArgs: 1,\n greediness: 2,\n}, function(context, args) {\n var body = args[0];\n var func = context.funcName;\n if (func in fontAliases) {\n func = fontAliases[func];\n }\n return {\n type: \"font\",\n font: func.slice(1),\n body: body,\n };\n});\n\n// Accents\ndefineFunction([\n \"\\\\acute\", \"\\\\grave\", \"\\\\ddot\", \"\\\\tilde\", \"\\\\bar\", \"\\\\breve\",\n \"\\\\check\", \"\\\\hat\", \"\\\\vec\", \"\\\\dot\",\n // We don't support expanding accents yet\n // \"\\\\widetilde\", \"\\\\widehat\"\n], {\n numArgs: 1,\n}, function(context, args) {\n var base = args[0];\n return {\n type: \"accent\",\n accent: context.funcName,\n base: base,\n };\n});\n\n// Infix generalized fractions\ndefineFunction([\"\\\\over\", \"\\\\choose\"], {\n numArgs: 0,\n}, function(context) {\n var replaceWith;\n switch (context.funcName) {\n case \"\\\\over\":\n replaceWith = \"\\\\frac\";\n break;\n case \"\\\\choose\":\n replaceWith = \"\\\\binom\";\n break;\n default:\n throw new Error(\"Unrecognized infix genfrac command\");\n }\n return {\n type: \"infix\",\n replaceWith: replaceWith,\n };\n});\n\n// Row breaks for aligned data\ndefineFunction([\"\\\\\\\\\", \"\\\\cr\"], {\n numArgs: 0,\n numOptionalArgs: 1,\n argTypes: [\"size\"],\n}, function(context, args) {\n var size = args[0];\n return {\n type: \"cr\",\n size: size,\n };\n});\n\n// Environment delimiters\ndefineFunction([\"\\\\begin\", \"\\\\end\"], {\n numArgs: 1,\n argTypes: [\"text\"],\n}, function(context, args) {\n var nameGroup = args[0];\n if (nameGroup.type !== \"ordgroup\") {\n throw new ParseError(\n \"Invalid environment name\",\n context.lexer, context.positions[1]);\n }\n var name = \"\";\n for (var i = 0; i < nameGroup.value.length; ++i) {\n name += nameGroup.value[i].value;\n }\n return {\n type: \"environment\",\n name: name,\n namepos: context.positions[1],\n };\n});\n"
},
{
"path": "pix2tex/dataset/preprocessing/third_party/katex/src/mathMLTree.js",
"content": "/**\n * These objects store data about MathML nodes. This is the MathML equivalent\n * of the types in domTree.js. Since MathML handles its own rendering, and\n * since we're mainly using MathML to improve accessibility, we don't manage\n * any of the styling state that the plain DOM nodes do.\n *\n * The `toNode` and `toMarkup` functions work simlarly to how they do in\n * domTree.js, creating namespaced DOM nodes and HTML text markup respectively.\n */\n\nvar utils = require(\"./utils\");\n\n/**\n * This node represents a general purpose MathML node of any type. The\n * constructor requires the type of node to create (for example, `\"mo\"` or\n * `\"mspace\"`, corresponding to `` and `` tags).\n */\nfunction MathNode(type, children) {\n this.type = type;\n this.attributes = {};\n this.children = children || [];\n}\n\n/**\n * Sets an attribute on a MathML node. MathML depends on attributes to convey a\n * semantic content, so this is used heavily.\n */\nMathNode.prototype.setAttribute = function(name, value) {\n this.attributes[name] = value;\n};\n\n/**\n * Converts the math node into a MathML-namespaced DOM element.\n */\nMathNode.prototype.toNode = function() {\n var node = document.createElementNS(\n \"http://www.w3.org/1998/Math/MathML\", this.type);\n\n for (var attr in this.attributes) {\n if (Object.prototype.hasOwnProperty.call(this.attributes, attr)) {\n node.setAttribute(attr, this.attributes[attr]);\n }\n }\n\n for (var i = 0; i < this.children.length; i++) {\n node.appendChild(this.children[i].toNode());\n }\n\n return node;\n};\n\n/**\n * Converts the math node into an HTML markup string.\n */\nMathNode.prototype.toMarkup = function() {\n var markup = \"<\" + this.type;\n\n // Add the attributes\n for (var attr in this.attributes) {\n if (Object.prototype.hasOwnProperty.call(this.attributes, attr)) {\n markup += \" \" + attr + \"=\\\"\";\n markup += utils.escape(this.attributes[attr]);\n markup += \"\\\"\";\n }\n }\n\n markup += \">\";\n\n for (var i = 0; i < this.children.length; i++) {\n markup += this.children[i].toMarkup();\n }\n\n markup += \"\";\n\n return markup;\n};\n\n/**\n * This node represents a piece of text.\n */\nfunction TextNode(text) {\n this.text = text;\n}\n\n/**\n * Converts the text node into a DOM text node.\n */\nTextNode.prototype.toNode = function() {\n return document.createTextNode(this.text);\n};\n\n/**\n * Converts the text node into HTML markup (which is just the text itself).\n */\nTextNode.prototype.toMarkup = function() {\n return utils.escape(this.text);\n};\n\nmodule.exports = {\n MathNode: MathNode,\n TextNode: TextNode,\n};\n"
},
{
"path": "pix2tex/dataset/preprocessing/third_party/katex/src/parseData.js",
"content": "/**\n * The resulting parse tree nodes of the parse tree.\n */\nfunction ParseNode(type, value, mode) {\n this.type = type;\n this.value = value;\n this.mode = mode;\n}\n\nmodule.exports = {\n ParseNode: ParseNode,\n};\n\n"
},
{
"path": "pix2tex/dataset/preprocessing/third_party/katex/src/parseTree.js",
"content": "/**\n * Provides a single function for parsing an expression using a Parser\n * TODO(emily): Remove this\n */\n\nvar Parser = require(\"./Parser\");\n\n/**\n * Parses an expression using a Parser, then returns the parsed result.\n */\nvar parseTree = function(toParse, settings) {\n var parser = new Parser(toParse, settings);\n\n return parser.parse();\n};\n\nmodule.exports = parseTree;\n"
},
{
"path": "pix2tex/dataset/preprocessing/third_party/katex/src/symbols.js",
"content": "/**\n * This file holds a list of all no-argument functions and single-character\n * symbols (like 'a' or ';').\n *\n * For each of the symbols, there are three properties they can have:\n * - font (required): the font to be used for this symbol. Either \"main\" (the\n normal font), or \"ams\" (the ams fonts).\n * - group (required): the ParseNode group type the symbol should have (i.e.\n \"textord\", \"mathord\", etc).\n See https://github.com/Khan/KaTeX/wiki/Examining-TeX#group-types\n * - replace: the character that this symbol or function should be\n * replaced with (i.e. \"\\phi\" has a replace value of \"\\u03d5\", the phi\n * character in the main font).\n *\n * The outermost map in the table indicates what mode the symbols should be\n * accepted in (e.g. \"math\" or \"text\").\n */\n\nmodule.exports = {\n math: {},\n text: {},\n};\n\nfunction defineSymbol(mode, font, group, replace, name) {\n module.exports[mode][name] = {\n font: font,\n group: group,\n replace: replace,\n };\n}\n\n// Some abbreviations for commonly used strings.\n// This helps minify the code, and also spotting typos using jshint.\n\n// modes:\nvar math = \"math\";\nvar text = \"text\";\n\n// fonts:\nvar main = \"main\";\nvar ams = \"ams\";\n\n// groups:\nvar accent = \"accent\";\nvar bin = \"bin\";\nvar close = \"close\";\nvar inner = \"inner\";\nvar mathord = \"mathord\";\nvar op = \"op\";\nvar open = \"open\";\nvar punct = \"punct\";\nvar rel = \"rel\";\nvar spacing = \"spacing\";\nvar textord = \"textord\";\n\n// Now comes the symbol table\n\n// Relation Symbols\ndefineSymbol(math, main, rel, \"\\u2261\", \"\\\\equiv\");\ndefineSymbol(math, main, rel, \"\\u227a\", \"\\\\prec\");\ndefineSymbol(math, main, rel, \"\\u227b\", \"\\\\succ\");\ndefineSymbol(math, main, rel, \"\\u223c\", \"\\\\sim\");\ndefineSymbol(math, main, rel, \"\\u22a5\", \"\\\\perp\");\ndefineSymbol(math, main, rel, \"\\u2aaf\", \"\\\\preceq\");\ndefineSymbol(math, main, rel, \"\\u2ab0\", \"\\\\succeq\");\ndefineSymbol(math, main, rel, \"\\u2243\", \"\\\\simeq\");\ndefineSymbol(math, main, rel, \"\\u2223\", \"\\\\mid\");\ndefineSymbol(math, main, rel, \"\\u226a\", \"\\\\ll\");\ndefineSymbol(math, main, rel, \"\\u226b\", \"\\\\gg\");\ndefineSymbol(math, main, rel, \"\\u224d\", \"\\\\asymp\");\ndefineSymbol(math, main, rel, \"\\u2225\", \"\\\\parallel\");\ndefineSymbol(math, main, rel, \"\\u22c8\", \"\\\\bowtie\");\ndefineSymbol(math, main, rel, \"\\u2323\", \"\\\\smile\");\ndefineSymbol(math, main, rel, \"\\u2291\", \"\\\\sqsubseteq\");\ndefineSymbol(math, main, rel, \"\\u2292\", \"\\\\sqsupseteq\");\ndefineSymbol(math, main, rel, \"\\u2250\", \"\\\\doteq\");\ndefineSymbol(math, main, rel, \"\\u2322\", \"\\\\frown\");\ndefineSymbol(math, main, rel, \"\\u220b\", \"\\\\ni\");\ndefineSymbol(math, main, rel, \"\\u221d\", \"\\\\propto\");\ndefineSymbol(math, main, rel, \"\\u22a2\", \"\\\\vdash\");\ndefineSymbol(math, main, rel, \"\\u22a3\", \"\\\\dashv\");\ndefineSymbol(math, main, rel, \"\\u220b\", \"\\\\owns\");\n\ndefineSymbol(math, main, rel, \"\\u220b\", \"\\\\widehat\");\ndefineSymbol(math, main, rel, \"\\u220b\", \"\\\\widetilde\");\ndefineSymbol(math, main, rel, \"\\u220b\", \"\\\\sp\");\ndefineSymbol(math, main, rel, \"\\u220b\", \"\\\\quad\");\n// defineSymbol(math, main, rel, \"\\u220b\", \"\\\\cr\");\ndefineSymbol(math, main, rel, \"\\u220b\", \"\\\\\\\\sim\");\ndefineSymbol(math, main, rel, \"\\u220b\", \"\\\\nonumber\");\ndefineSymbol(math, main, rel, \"\\u220b\", \"\\\\dots\");\ndefineSymbol(math, main, rel, \"\\u220b\", \"\\\\cases\");\ndefineSymbol(math, main, rel, \"\\u220b\", \"\\\\mit\");\ndefineSymbol(math, main, rel, \"\\u220b\", \"\\\\smallskip\");\ndefineSymbol(math, main, rel, \"\\u220b\", \"\\\\slash\");\ndefineSymbol(math, main, rel, \"\\u220b\", \"\\\\d\");\ndefineSymbol(math, main, rel, \"\\u220b\", \"\\\\c\");\ndefineSymbol(math, main, rel, \"\\u220b\", \"\\\\b\");\ndefineSymbol(math, main, rel, \"\\u220b\", \"\\\\M\");\ndefineSymbol(math, main, rel, \"\\u220b\", \"\\\\S\");\ndefineSymbol(math, main, rel, \"\\u220b\", \"\\\\(\");\ndefineSymbol(math, main, rel, \"\\u220b\", \"\\\\)\");\n// defineSymbol(math, main, rel, \"\\u220b\", \"\\\\Comp\");\ndefineSymbol(math, main, rel, \"\\u220b\", \"\\\\thinspace\");\ndefineSymbol(math, main, rel, \"\\u220b\", \"\\\\hskip\");\ndefineSymbol(math, main, rel, \"\\u220b\", \"\\\\tt\");\ndefineSymbol(math, main, rel, \"\\u220b\", \"\\\\not\");\ndefineSymbol(math, main, rel, \"\\u220b\", \"\\\\boldmathr\");\ndefineSymbol(math, main, rel, \"\\u220b\", \"\\\\overleftarrow\");\ndefineSymbol(math, main, rel, \"\\u220b\", \"\\\\overrightarrow\");\ndefineSymbol(math, main, rel, \"\\u220b\", \"\\\\intf\");\ndefineSymbol(math, main, rel, \"\\u220b\", \"\\\\sf\");\ndefineSymbol(math, main, rel, \"\\u220b\", \"\\\\textbf\");\ndefineSymbol(math, main, rel, \"\\u220b\", \"\\\\L\");\ndefineSymbol(math, main, rel, \"\\u220b\", \"\\\\pii\");\ndefineSymbol(math, main, rel, \"\\u220b\", \"\\\\unitlength\");\ndefineSymbol(math, main, rel, \"\\u220b\", \"\\\\arowtor5linv\");\ndefineSymbol(math, main, rel, \"\\u220b\", \"\\\\hline\");\ndefineSymbol(math, main, rel, \"\\u220b\", \"\\\\mathbin\");\ndefineSymbol(math, main, rel, \"\\u220b\", \"\\\\nc\");\ndefineSymbol(math, main, rel, \"\\u220b\", \"\\\\underbrace\");\ndefineSymbol(math, main, rel, \"\\u220b\", \"\\\\o\");\ndefineSymbol(math, main, rel, \"\\u220b\", \"\\\\a\");\ndefineSymbol(math, main, rel, \"\\u220b\", \"\\\\b\");\ndefineSymbol(math, main, rel, \"\\u220b\", \"\\\\c\");\ndefineSymbol(math, main, rel, \"\\u220b\", \"\\\\d\");\ndefineSymbol(math, main, rel, \"\\u220b\", \"\\\\e\");\ndefineSymbol(math, main, rel, \"\\u220b\", \"\\\\f\");\ndefineSymbol(math, main, rel, \"\\u220b\", \"\\\\g\");\ndefineSymbol(math, main, rel, \"\\u220b\", \"\\\\h\");\ndefineSymbol(math, main, rel, \"\\u220b\", \"\\\\i\");\ndefineSymbol(math, main, rel, \"\\u220b\", \"\\\\j\");\ndefineSymbol(math, main, rel, \"\\u220b\", \"\\\\k\");\ndefineSymbol(math, main, rel, \"\\u220b\", \"\\\\l\");\ndefineSymbol(math, main, rel, \"\\u220b\", \"\\\\m\");\ndefineSymbol(math, main, rel, \"\\u220b\", \"\\\\n\");\ndefineSymbol(math, main, rel, \"\\u220b\", \"\\\\o\");\n// defineSymbol(math, main, rel, \"\\u220b\", \"\\\\wedgee\");\ndefineSymbol(math, main, rel, \"\\u220b\", \"\\\\sb\");\ndefineSymbol(math, main, rel, \"\\u220b\", \"\\\\do\");\ndefineSymbol(math, main, rel, \"\\u220b\", \"\\\\em\");\n// defineSymbol(math, main, rel, \"\\u220b\", \"\\\\diamonda\");\n\n\ndefineSymbol(math, main, rel, \"\\u220b\", \"\\\\dint\");\ndefineSymbol(math, main, rel, \"\\u220b\", \"\\\\intd\");\n\n\n// Punctuation\ndefineSymbol(math, main, punct, \"\\u002e\", \"\\\\ldotp\");\ndefineSymbol(math, main, punct, \"\\u22c5\", \"\\\\cdotp\");\n\n// Misc Symbols\ndefineSymbol(math, main, textord, \"\\u0023\", \"\\\\#\");\ndefineSymbol(math, main, textord, \"\\u0026\", \"\\\\&\");\ndefineSymbol(math, main, textord, \"\\u2135\", \"\\\\aleph\");\ndefineSymbol(math, main, textord, \"\\u2200\", \"\\\\forall\");\ndefineSymbol(math, main, textord, \"\\u210f\", \"\\\\hbar\");\ndefineSymbol(math, main, textord, \"\\u2203\", \"\\\\eixsts\");\ndefineSymbol(math, main, textord, \"\\u2207\", \"\\\\nabla\");\ndefineSymbol(math, main, textord, \"\\u266d\", \"\\\\flat\");\ndefineSymbol(math, main, textord, \"\\u2113\", \"\\\\ell\");\ndefineSymbol(math, main, textord, \"\\u266e\", \"\\\\natural\");\ndefineSymbol(math, main, textord, \"\\u2663\", \"\\\\clubsuit\");\ndefineSymbol(math, main, textord, \"\\u2118\", \"\\\\wp\");\ndefineSymbol(math, main, textord, \"\\u266f\", \"\\\\sharp\");\ndefineSymbol(math, main, textord, \"\\u2662\", \"\\\\diamondsuit\");\ndefineSymbol(math, main, textord, \"\\u211c\", \"\\\\Re\");\ndefineSymbol(math, main, textord, \"\\u2661\", \"\\\\heartsuit\");\ndefineSymbol(math, main, textord, \"\\u2111\", \"\\\\Im\");\ndefineSymbol(math, main, textord, \"\\u2660\", \"\\\\spadesuit\");\n\n// Math and Text\ndefineSymbol(math, main, textord, \"\\u2020\", \"\\\\dag\");\ndefineSymbol(math, main, textord, \"\\u2021\", \"\\\\ddag\");\n\n// Large Delimiters\ndefineSymbol(math, main, close, \"\\u23b1\", \"\\\\rmoustache\");\ndefineSymbol(math, main, open, \"\\u23b0\", \"\\\\lmoustache\");\ndefineSymbol(math, main, close, \"\\u27ef\", \"\\\\rgroup\");\ndefineSymbol(math, main, open, \"\\u27ee\", \"\\\\lgroup\");\n\n// Binary Operators\ndefineSymbol(math, main, bin, \"\\u2213\", \"\\\\mp\");\ndefineSymbol(math, main, bin, \"\\u2296\", \"\\\\ominus\");\ndefineSymbol(math, main, bin, \"\\u228e\", \"\\\\uplus\");\ndefineSymbol(math, main, bin, \"\\u2293\", \"\\\\sqcap\");\ndefineSymbol(math, main, bin, \"\\u2217\", \"\\\\ast\");\ndefineSymbol(math, main, bin, \"\\u2294\", \"\\\\sqcup\");\ndefineSymbol(math, main, bin, \"\\u25ef\", \"\\\\bigcirc\");\ndefineSymbol(math, main, bin, \"\\u2219\", \"\\\\bullet\");\ndefineSymbol(math, main, bin, \"\\u2021\", \"\\\\ddagger\");\ndefineSymbol(math, main, bin, \"\\u2240\", \"\\\\wr\");\ndefineSymbol(math, main, bin, \"\\u2a3f\", \"\\\\amalg\");\n\n// Arrow Symbols\ndefineSymbol(math, main, rel, \"\\u27f5\", \"\\\\longleftarrow\");\ndefineSymbol(math, main, rel, \"\\u21d0\", \"\\\\Leftarrow\");\ndefineSymbol(math, main, rel, \"\\u27f8\", \"\\\\Longleftarrow\");\ndefineSymbol(math, main, rel, \"\\u27f6\", \"\\\\longrightarrow\");\ndefineSymbol(math, main, rel, \"\\u21d2\", \"\\\\Rightarrow\");\ndefineSymbol(math, main, rel, \"\\u27f9\", \"\\\\Longrightarrow\");\ndefineSymbol(math, main, rel, \"\\u2194\", \"\\\\leftrightarrow\");\ndefineSymbol(math, main, rel, \"\\u27f7\", \"\\\\longleftrightarrow\");\ndefineSymbol(math, main, rel, \"\\u21d4\", \"\\\\Leftrightarrow\");\ndefineSymbol(math, main, rel, \"\\u27fa\", \"\\\\Longleftrightarrow\");\ndefineSymbol(math, main, rel, \"\\u21a6\", \"\\\\mapsto\");\ndefineSymbol(math, main, rel, \"\\u27fc\", \"\\\\longmapsto\");\ndefineSymbol(math, main, rel, \"\\u2197\", \"\\\\nearrow\");\ndefineSymbol(math, main, rel, \"\\u21a9\", \"\\\\hookleftarrow\");\ndefineSymbol(math, main, rel, \"\\u21aa\", \"\\\\hookrightarrow\");\ndefineSymbol(math, main, rel, \"\\u2198\", \"\\\\searrow\");\ndefineSymbol(math, main, rel, \"\\u21bc\", \"\\\\leftharpoonup\");\ndefineSymbol(math, main, rel, \"\\u21c0\", \"\\\\rightharpoonup\");\ndefineSymbol(math, main, rel, \"\\u2199\", \"\\\\swarrow\");\ndefineSymbol(math, main, rel, \"\\u21bd\", \"\\\\leftharpoondown\");\ndefineSymbol(math, main, rel, \"\\u21c1\", \"\\\\rightharpoondown\");\ndefineSymbol(math, main, rel, \"\\u2196\", \"\\\\nwarrow\");\ndefineSymbol(math, main, rel, \"\\u21cc\", \"\\\\rightleftharpoons\");\n\n// AMS Negated Binary Relations\ndefineSymbol(math, ams, rel, \"\\u226e\", \"\\\\nless\");\ndefineSymbol(math, ams, rel, \"\\ue010\", \"\\\\nleqslant\");\ndefineSymbol(math, ams, rel, \"\\ue011\", \"\\\\nleqq\");\ndefineSymbol(math, ams, rel, \"\\u2a87\", \"\\\\lneq\");\ndefineSymbol(math, ams, rel, \"\\u2268\", \"\\\\lneqq\");\ndefineSymbol(math, ams, rel, \"\\ue00c\", \"\\\\lvertneqq\");\ndefineSymbol(math, ams, rel, \"\\u22e6\", \"\\\\lnsim\");\ndefineSymbol(math, ams, rel, \"\\u2a89\", \"\\\\lnapprox\");\ndefineSymbol(math, ams, rel, \"\\u2280\", \"\\\\nprec\");\ndefineSymbol(math, ams, rel, \"\\u22e0\", \"\\\\npreceq\");\ndefineSymbol(math, ams, rel, \"\\u22e8\", \"\\\\precnsim\");\ndefineSymbol(math, ams, rel, \"\\u2ab9\", \"\\\\precnapprox\");\ndefineSymbol(math, ams, rel, \"\\u2241\", \"\\\\nsim\");\ndefineSymbol(math, ams, rel, \"\\ue006\", \"\\\\nshortmid\");\ndefineSymbol(math, ams, rel, \"\\u2224\", \"\\\\nmid\");\ndefineSymbol(math, ams, rel, \"\\u22ac\", \"\\\\nvdash\");\ndefineSymbol(math, ams, rel, \"\\u22ad\", \"\\\\nvDash\");\ndefineSymbol(math, ams, rel, \"\\u22ea\", \"\\\\ntriangleleft\");\ndefineSymbol(math, ams, rel, \"\\u22ec\", \"\\\\ntrianglelefteq\");\ndefineSymbol(math, ams, rel, \"\\u228a\", \"\\\\subsetneq\");\ndefineSymbol(math, ams, rel, \"\\ue01a\", \"\\\\varsubsetneq\");\ndefineSymbol(math, ams, rel, \"\\u2acb\", \"\\\\subsetneqq\");\ndefineSymbol(math, ams, rel, \"\\ue017\", \"\\\\varsubsetneqq\");\ndefineSymbol(math, ams, rel, \"\\u226f\", \"\\\\ngtr\");\ndefineSymbol(math, ams, rel, \"\\ue00f\", \"\\\\ngeqslant\");\ndefineSymbol(math, ams, rel, \"\\ue00e\", \"\\\\ngeqq\");\ndefineSymbol(math, ams, rel, \"\\u2a88\", \"\\\\gneq\");\ndefineSymbol(math, ams, rel, \"\\u2269\", \"\\\\gneqq\");\ndefineSymbol(math, ams, rel, \"\\ue00d\", \"\\\\gvertneqq\");\ndefineSymbol(math, ams, rel, \"\\u22e7\", \"\\\\gnsim\");\ndefineSymbol(math, ams, rel, \"\\u2a8a\", \"\\\\gnapprox\");\ndefineSymbol(math, ams, rel, \"\\u2281\", \"\\\\nsucc\");\ndefineSymbol(math, ams, rel, \"\\u22e1\", \"\\\\nsucceq\");\ndefineSymbol(math, ams, rel, \"\\u22e9\", \"\\\\succnsim\");\ndefineSymbol(math, ams, rel, \"\\u2aba\", \"\\\\succnapprox\");\ndefineSymbol(math, ams, rel, \"\\u2246\", \"\\\\ncong\");\ndefineSymbol(math, ams, rel, \"\\ue007\", \"\\\\nshortparallel\");\ndefineSymbol(math, ams, rel, \"\\u2226\", \"\\\\nparallel\");\ndefineSymbol(math, ams, rel, \"\\u22af\", \"\\\\nVDash\");\ndefineSymbol(math, ams, rel, \"\\u22eb\", \"\\\\ntriangleright\");\ndefineSymbol(math, ams, rel, \"\\u22ed\", \"\\\\ntrianglerighteq\");\ndefineSymbol(math, ams, rel, \"\\ue018\", \"\\\\nsupseteqq\");\ndefineSymbol(math, ams, rel, \"\\u228b\", \"\\\\supsetneq\");\ndefineSymbol(math, ams, rel, \"\\ue01b\", \"\\\\varsupsetneq\");\ndefineSymbol(math, ams, rel, \"\\u2acc\", \"\\\\supsetneqq\");\ndefineSymbol(math, ams, rel, \"\\ue019\", \"\\\\varsupsetneqq\");\ndefineSymbol(math, ams, rel, \"\\u22ae\", \"\\\\nVdash\");\ndefineSymbol(math, ams, rel, \"\\u2ab5\", \"\\\\precneqq\");\ndefineSymbol(math, ams, rel, \"\\u2ab6\", \"\\\\succneqq\");\ndefineSymbol(math, ams, rel, \"\\ue016\", \"\\\\nsubseteqq\");\ndefineSymbol(math, ams, bin, \"\\u22b4\", \"\\\\unlhd\");\ndefineSymbol(math, ams, bin, \"\\u22b5\", \"\\\\unrhd\");\n\n// AMS Negated Arrows\ndefineSymbol(math, ams, rel, \"\\u219a\", \"\\\\nleftarrow\");\ndefineSymbol(math, ams, rel, \"\\u219b\", \"\\\\nrightarrow\");\ndefineSymbol(math, ams, rel, \"\\u21cd\", \"\\\\nLeftarrow\");\ndefineSymbol(math, ams, rel, \"\\u21cf\", \"\\\\nRightarrow\");\ndefineSymbol(math, ams, rel, \"\\u21ae\", \"\\\\nleftrightarrow\");\ndefineSymbol(math, ams, rel, \"\\u21ce\", \"\\\\nLeftrightarrow\");\n\n// AMS Misc\ndefineSymbol(math, ams, rel, \"\\u25b3\", \"\\\\vartriangle\");\ndefineSymbol(math, ams, textord, \"\\u210f\", \"\\\\hslash\");\ndefineSymbol(math, ams, textord, \"\\u25bd\", \"\\\\triangledown\");\ndefineSymbol(math, ams, textord, \"\\u25ca\", \"\\\\lozenge\");\ndefineSymbol(math, ams, textord, \"\\u24c8\", \"\\\\circledS\");\ndefineSymbol(math, ams, textord, \"\\u00ae\", \"\\\\circledR\");\ndefineSymbol(math, ams, textord, \"\\u2221\", \"\\\\measuredangle\");\ndefineSymbol(math, ams, textord, \"\\u2204\", \"\\\\nexists\");\ndefineSymbol(math, ams, textord, \"\\u2127\", \"\\\\mho\");\ndefineSymbol(math, ams, textord, \"\\u2132\", \"\\\\Finv\");\ndefineSymbol(math, ams, textord, \"\\u2141\", \"\\\\Game\");\ndefineSymbol(math, ams, textord, \"\\u006b\", \"\\\\Bbbk\");\ndefineSymbol(math, ams, textord, \"\\u2035\", \"\\\\backprime\");\ndefineSymbol(math, ams, textord, \"\\u25b2\", \"\\\\blacktriangle\");\ndefineSymbol(math, ams, textord, \"\\u25bc\", \"\\\\blacktriangledown\");\ndefineSymbol(math, ams, textord, \"\\u25a0\", \"\\\\blacksquare\");\ndefineSymbol(math, ams, textord, \"\\u29eb\", \"\\\\blacklozenge\");\ndefineSymbol(math, ams, textord, \"\\u2605\", \"\\\\bigstar\");\ndefineSymbol(math, ams, textord, \"\\u2222\", \"\\\\sphericalangle\");\ndefineSymbol(math, ams, textord, \"\\u2201\", \"\\\\complement\");\ndefineSymbol(math, ams, textord, \"\\u00f0\", \"\\\\eth\");\ndefineSymbol(math, ams, textord, \"\\u2571\", \"\\\\diagup\");\ndefineSymbol(math, ams, textord, \"\\u2572\", \"\\\\diagdown\");\ndefineSymbol(math, ams, textord, \"\\u25a1\", \"\\\\square\");\ndefineSymbol(math, ams, textord, \"\\u25a1\", \"\\\\Box\");\ndefineSymbol(math, ams, textord, \"\\u25ca\", \"\\\\Diamond\");\ndefineSymbol(math, ams, textord, \"\\u00a5\", \"\\\\yen\");\ndefineSymbol(math, ams, textord, \"\\u2713\", \"\\\\checkmark\");\n\n// AMS Hebrew\ndefineSymbol(math, ams, textord, \"\\u2136\", \"\\\\beth\");\ndefineSymbol(math, ams, textord, \"\\u2138\", \"\\\\daleth\");\ndefineSymbol(math, ams, textord, \"\\u2137\", \"\\\\gimel\");\n\n// AMS Greek\ndefineSymbol(math, ams, textord, \"\\u03dd\", \"\\\\digamma\");\ndefineSymbol(math, ams, textord, \"\\u03f0\", \"\\\\varkappa\");\n\n// AMS Delimiters\ndefineSymbol(math, ams, open, \"\\u250c\", \"\\\\ulcorner\");\ndefineSymbol(math, ams, close, \"\\u2510\", \"\\\\urcorner\");\ndefineSymbol(math, ams, open, \"\\u2514\", \"\\\\llcorner\");\ndefineSymbol(math, ams, close, \"\\u2518\", \"\\\\lrcorner\");\n\n// AMS Binary Relations\ndefineSymbol(math, ams, rel, \"\\u2266\", \"\\\\leqq\");\ndefineSymbol(math, ams, rel, \"\\u2a7d\", \"\\\\leqslant\");\ndefineSymbol(math, ams, rel, \"\\u2a95\", \"\\\\eqslantless\");\ndefineSymbol(math, ams, rel, \"\\u2272\", \"\\\\lesssim\");\ndefineSymbol(math, ams, rel, \"\\u2a85\", \"\\\\lessapprox\");\ndefineSymbol(math, ams, rel, \"\\u224a\", \"\\\\approxeq\");\ndefineSymbol(math, ams, bin, \"\\u22d6\", \"\\\\lessdot\");\ndefineSymbol(math, ams, rel, \"\\u22d8\", \"\\\\lll\");\ndefineSymbol(math, ams, rel, \"\\u2276\", \"\\\\lessgtr\");\ndefineSymbol(math, ams, rel, \"\\u22da\", \"\\\\lesseqgtr\");\ndefineSymbol(math, ams, rel, \"\\u2a8b\", \"\\\\lesseqqgtr\");\ndefineSymbol(math, ams, rel, \"\\u2251\", \"\\\\doteqdot\");\ndefineSymbol(math, ams, rel, \"\\u2253\", \"\\\\risingdotseq\");\ndefineSymbol(math, ams, rel, \"\\u2252\", \"\\\\fallingdotseq\");\ndefineSymbol(math, ams, rel, \"\\u223d\", \"\\\\backsim\");\ndefineSymbol(math, ams, rel, \"\\u22cd\", \"\\\\backsimeq\");\ndefineSymbol(math, ams, rel, \"\\u2ac5\", \"\\\\subseteqq\");\ndefineSymbol(math, ams, rel, \"\\u22d0\", \"\\\\Subset\");\ndefineSymbol(math, ams, rel, \"\\u228f\", \"\\\\sqsubset\");\ndefineSymbol(math, ams, rel, \"\\u227c\", \"\\\\preccurlyeq\");\ndefineSymbol(math, ams, rel, \"\\u22de\", \"\\\\curlyeqprec\");\ndefineSymbol(math, ams, rel, \"\\u227e\", \"\\\\precsim\");\ndefineSymbol(math, ams, rel, \"\\u2ab7\", \"\\\\precapprox\");\ndefineSymbol(math, ams, rel, \"\\u22b2\", \"\\\\vartriangleleft\");\ndefineSymbol(math, ams, rel, \"\\u22b4\", \"\\\\trianglelefteq\");\ndefineSymbol(math, ams, rel, \"\\u22a8\", \"\\\\vDash\");\ndefineSymbol(math, ams, rel, \"\\u22aa\", \"\\\\Vvdash\");\ndefineSymbol(math, ams, rel, \"\\u2323\", \"\\\\smallsmile\");\ndefineSymbol(math, ams, rel, \"\\u2322\", \"\\\\smallfrown\");\ndefineSymbol(math, ams, rel, \"\\u224f\", \"\\\\bumpeq\");\ndefineSymbol(math, ams, rel, \"\\u224e\", \"\\\\Bumpeq\");\ndefineSymbol(math, ams, rel, \"\\u2267\", \"\\\\geqq\");\ndefineSymbol(math, ams, rel, \"\\u2a7e\", \"\\\\geqslant\");\ndefineSymbol(math, ams, rel, \"\\u2a96\", \"\\\\eqslantgtr\");\ndefineSymbol(math, ams, rel, \"\\u2273\", \"\\\\gtrsim\");\ndefineSymbol(math, ams, rel, \"\\u2a86\", \"\\\\gtrapprox\");\ndefineSymbol(math, ams, bin, \"\\u22d7\", \"\\\\gtrdot\");\ndefineSymbol(math, ams, rel, \"\\u22d9\", \"\\\\ggg\");\ndefineSymbol(math, ams, rel, \"\\u2277\", \"\\\\gtrless\");\ndefineSymbol(math, ams, rel, \"\\u22db\", \"\\\\gtreqless\");\ndefineSymbol(math, ams, rel, \"\\u2a8c\", \"\\\\gtreqqless\");\ndefineSymbol(math, ams, rel, \"\\u2256\", \"\\\\eqcirc\");\ndefineSymbol(math, ams, rel, \"\\u2257\", \"\\\\circeq\");\ndefineSymbol(math, ams, rel, \"\\u225c\", \"\\\\triangleq\");\ndefineSymbol(math, ams, rel, \"\\u223c\", \"\\\\thicksim\");\ndefineSymbol(math, ams, rel, \"\\u2248\", \"\\\\thickapprox\");\ndefineSymbol(math, ams, rel, \"\\u2ac6\", \"\\\\supseteqq\");\ndefineSymbol(math, ams, rel, \"\\u22d1\", \"\\\\Supset\");\ndefineSymbol(math, ams, rel, \"\\u2290\", \"\\\\sqsupset\");\ndefineSymbol(math, ams, rel, \"\\u227d\", \"\\\\succcurlyeq\");\ndefineSymbol(math, ams, rel, \"\\u22df\", \"\\\\curlyeqsucc\");\ndefineSymbol(math, ams, rel, \"\\u227f\", \"\\\\succsim\");\ndefineSymbol(math, ams, rel, \"\\u2ab8\", \"\\\\succapprox\");\ndefineSymbol(math, ams, rel, \"\\u22b3\", \"\\\\vartriangleright\");\ndefineSymbol(math, ams, rel, \"\\u22b5\", \"\\\\trianglerighteq\");\ndefineSymbol(math, ams, rel, \"\\u22a9\", \"\\\\Vdash\");\ndefineSymbol(math, ams, rel, \"\\u2223\", \"\\\\shortmid\");\ndefineSymbol(math, ams, rel, \"\\u2225\", \"\\\\shortparallel\");\ndefineSymbol(math, ams, rel, \"\\u226c\", \"\\\\between\");\ndefineSymbol(math, ams, rel, \"\\u22d4\", \"\\\\pitchfork\");\ndefineSymbol(math, ams, rel, \"\\u221d\", \"\\\\varpropto\");\ndefineSymbol(math, ams, rel, \"\\u25c0\", \"\\\\blacktriangleleft\");\ndefineSymbol(math, ams, rel, \"\\u2234\", \"\\\\therefore\");\ndefineSymbol(math, ams, rel, \"\\u220d\", \"\\\\backepsilon\");\ndefineSymbol(math, ams, rel, \"\\u25b6\", \"\\\\blacktriangleright\");\ndefineSymbol(math, ams, rel, \"\\u2235\", \"\\\\because\");\ndefineSymbol(math, ams, rel, \"\\u22d8\", \"\\\\llless\");\ndefineSymbol(math, ams, rel, \"\\u22d9\", \"\\\\gggtr\");\ndefineSymbol(math, ams, bin, \"\\u22b2\", \"\\\\lhd\");\ndefineSymbol(math, ams, bin, \"\\u22b3\", \"\\\\rhd\");\ndefineSymbol(math, ams, rel, \"\\u2242\", \"\\\\eqsim\");\ndefineSymbol(math, main, rel, \"\\u22c8\", \"\\\\Join\");\ndefineSymbol(math, ams, rel, \"\\u2251\", \"\\\\Doteq\");\n\n// AMS Binary Operators\ndefineSymbol(math, ams, bin, \"\\u2214\", \"\\\\dotplus\");\ndefineSymbol(math, ams, bin, \"\\u2216\", \"\\\\smallsetminus\");\ndefineSymbol(math, ams, bin, \"\\u22d2\", \"\\\\Cap\");\ndefineSymbol(math, ams, bin, \"\\u22d3\", \"\\\\Cup\");\ndefineSymbol(math, ams, bin, \"\\u2a5e\", \"\\\\doublebarwedge\");\ndefineSymbol(math, ams, bin, \"\\u229f\", \"\\\\boxminus\");\ndefineSymbol(math, ams, bin, \"\\u229e\", \"\\\\boxplus\");\ndefineSymbol(math, ams, bin, \"\\u22c7\", \"\\\\divideontimes\");\ndefineSymbol(math, ams, bin, \"\\u22c9\", \"\\\\ltimes\");\ndefineSymbol(math, ams, bin, \"\\u22ca\", \"\\\\rtimes\");\ndefineSymbol(math, ams, bin, \"\\u22cb\", \"\\\\leftthreetimes\");\ndefineSymbol(math, ams, bin, \"\\u22cc\", \"\\\\rightthreetimes\");\ndefineSymbol(math, ams, bin, \"\\u22cf\", \"\\\\curlywedge\");\ndefineSymbol(math, ams, bin, \"\\u22ce\", \"\\\\curlyvee\");\ndefineSymbol(math, ams, bin, \"\\u229d\", \"\\\\circleddash\");\ndefineSymbol(math, ams, bin, \"\\u229b\", \"\\\\circledast\");\ndefineSymbol(math, ams, bin, \"\\u22c5\", \"\\\\centerdot\");\ndefineSymbol(math, ams, bin, \"\\u22ba\", \"\\\\intercal\");\ndefineSymbol(math, ams, bin, \"\\u22d2\", \"\\\\doublecap\");\ndefineSymbol(math, ams, bin, \"\\u22d3\", \"\\\\doublecup\");\ndefineSymbol(math, ams, bin, \"\\u22a0\", \"\\\\boxtimes\");\n\n// AMS Arrows\ndefineSymbol(math, ams, rel, \"\\u21e2\", \"\\\\dashrightarrow\");\ndefineSymbol(math, ams, rel, \"\\u21e0\", \"\\\\dashleftarrow\");\ndefineSymbol(math, ams, rel, \"\\u21c7\", \"\\\\leftleftarrows\");\ndefineSymbol(math, ams, rel, \"\\u21c6\", \"\\\\leftrightarrows\");\ndefineSymbol(math, ams, rel, \"\\u21da\", \"\\\\Lleftarrow\");\ndefineSymbol(math, ams, rel, \"\\u219e\", \"\\\\twoheadleftarrow\");\ndefineSymbol(math, ams, rel, \"\\u21a2\", \"\\\\leftarrowtail\");\ndefineSymbol(math, ams, rel, \"\\u21ab\", \"\\\\looparrowleft\");\ndefineSymbol(math, ams, rel, \"\\u21cb\", \"\\\\leftrightharpoons\");\ndefineSymbol(math, ams, rel, \"\\u21b6\", \"\\\\curvearrowleft\");\ndefineSymbol(math, ams, rel, \"\\u21ba\", \"\\\\circlearrowleft\");\ndefineSymbol(math, ams, rel, \"\\u21b0\", \"\\\\Lsh\");\ndefineSymbol(math, ams, rel, \"\\u21c8\", \"\\\\upuparrows\");\ndefineSymbol(math, ams, rel, \"\\u21bf\", \"\\\\upharpoonleft\");\ndefineSymbol(math, ams, rel, \"\\u21c3\", \"\\\\downharpoonleft\");\ndefineSymbol(math, ams, rel, \"\\u22b8\", \"\\\\multimap\");\ndefineSymbol(math, ams, rel, \"\\u21ad\", \"\\\\leftrightsquigarrow\");\ndefineSymbol(math, ams, rel, \"\\u21c9\", \"\\\\rightrightarrows\");\ndefineSymbol(math, ams, rel, \"\\u21c4\", \"\\\\rightleftarrows\");\ndefineSymbol(math, ams, rel, \"\\u21a0\", \"\\\\twoheadrightarrow\");\ndefineSymbol(math, ams, rel, \"\\u21a3\", \"\\\\rightarrowtail\");\ndefineSymbol(math, ams, rel, \"\\u21ac\", \"\\\\looparrowright\");\ndefineSymbol(math, ams, rel, \"\\u21b7\", \"\\\\curvearrowright\");\ndefineSymbol(math, ams, rel, \"\\u21bb\", \"\\\\circlearrowright\");\ndefineSymbol(math, ams, rel, \"\\u21b1\", \"\\\\Rsh\");\ndefineSymbol(math, ams, rel, \"\\u21ca\", \"\\\\downdownarrows\");\ndefineSymbol(math, ams, rel, \"\\u21be\", \"\\\\upharpoonright\");\ndefineSymbol(math, ams, rel, \"\\u21c2\", \"\\\\downharpoonright\");\ndefineSymbol(math, ams, rel, \"\\u21dd\", \"\\\\rightsquigarrow\");\ndefineSymbol(math, ams, rel, \"\\u21dd\", \"\\\\leadsto\");\ndefineSymbol(math, ams, rel, \"\\u21db\", \"\\\\Rrightarrow\");\ndefineSymbol(math, ams, rel, \"\\u21be\", \"\\\\restriction\");\n\ndefineSymbol(math, main, textord, \"\\u2018\", \"`\");\ndefineSymbol(math, main, textord, \"$\", \"\\\\$\");\ndefineSymbol(math, main, textord, \"%\", \"\\\\%\");\ndefineSymbol(math, main, textord, \"_\", \"\\\\_\");\ndefineSymbol(math, main, textord, \"\\u2220\", \"\\\\angle\");\ndefineSymbol(math, main, textord, \"\\u221e\", \"\\\\infty\");\ndefineSymbol(math, main, textord, \"\\u2032\", \"\\\\prime\");\ndefineSymbol(math, main, textord, \"\\u25b3\", \"\\\\triangle\");\ndefineSymbol(math, main, textord, \"\\u0393\", \"\\\\Gamma\");\ndefineSymbol(math, main, textord, \"\\u0394\", \"\\\\Delta\");\ndefineSymbol(math, main, textord, \"\\u0398\", \"\\\\Theta\");\ndefineSymbol(math, main, textord, \"\\u039b\", \"\\\\Lambda\");\ndefineSymbol(math, main, textord, \"\\u039e\", \"\\\\Xi\");\ndefineSymbol(math, main, textord, \"\\u03a0\", \"\\\\Pi\");\ndefineSymbol(math, main, textord, \"\\u03a3\", \"\\\\Sigma\");\ndefineSymbol(math, main, textord, \"\\u03a5\", \"\\\\Upsilon\");\ndefineSymbol(math, main, textord, \"\\u03a6\", \"\\\\Phi\");\ndefineSymbol(math, main, textord, \"\\u03a8\", \"\\\\Psi\");\ndefineSymbol(math, main, textord, \"\\u03a9\", \"\\\\Omega\");\ndefineSymbol(math, main, textord, \"\\u00ac\", \"\\\\neg\");\ndefineSymbol(math, main, textord, \"\\u00ac\", \"\\\\lnot\");\ndefineSymbol(math, main, textord, \"\\u22a4\", \"\\\\top\");\ndefineSymbol(math, main, textord, \"\\u22a5\", \"\\\\bot\");\ndefineSymbol(math, main, textord, \"\\u2205\", \"\\\\emptyset\");\ndefineSymbol(math, ams, textord, \"\\u2205\", \"\\\\varnothing\");\ndefineSymbol(math, main, mathord, \"\\u03b1\", \"\\\\alpha\");\ndefineSymbol(math, main, mathord, \"\\u03b2\", \"\\\\beta\");\ndefineSymbol(math, main, mathord, \"\\u03b3\", \"\\\\gamma\");\ndefineSymbol(math, main, mathord, \"\\u03b4\", \"\\\\delta\");\ndefineSymbol(math, main, mathord, \"\\u03f5\", \"\\\\epsilon\");\ndefineSymbol(math, main, mathord, \"\\u03b6\", \"\\\\zeta\");\ndefineSymbol(math, main, mathord, \"\\u03b7\", \"\\\\eta\");\ndefineSymbol(math, main, mathord, \"\\u03b8\", \"\\\\theta\");\ndefineSymbol(math, main, mathord, \"\\u03b9\", \"\\\\iota\");\ndefineSymbol(math, main, mathord, \"\\u03ba\", \"\\\\kappa\");\ndefineSymbol(math, main, mathord, \"\\u03bb\", \"\\\\lambda\");\ndefineSymbol(math, main, mathord, \"\\u03bc\", \"\\\\mu\");\ndefineSymbol(math, main, mathord, \"\\u03bd\", \"\\\\nu\");\ndefineSymbol(math, main, mathord, \"\\u03be\", \"\\\\xi\");\ndefineSymbol(math, main, mathord, \"o\", \"\\\\omicron\");\ndefineSymbol(math, main, mathord, \"\\u03c0\", \"\\\\pi\");\ndefineSymbol(math, main, mathord, \"\\u03c1\", \"\\\\rho\");\ndefineSymbol(math, main, mathord, \"\\u03c3\", \"\\\\sigma\");\ndefineSymbol(math, main, mathord, \"\\u03c4\", \"\\\\tau\");\ndefineSymbol(math, main, mathord, \"\\u03c5\", \"\\\\upsilon\");\ndefineSymbol(math, main, mathord, \"\\u03d5\", \"\\\\phi\");\ndefineSymbol(math, main, mathord, \"\\u03c7\", \"\\\\chi\");\ndefineSymbol(math, main, mathord, \"\\u03c8\", \"\\\\psi\");\ndefineSymbol(math, main, mathord, \"\\u03c9\", \"\\\\omega\");\ndefineSymbol(math, main, mathord, \"\\u03b5\", \"\\\\varepsilon\");\ndefineSymbol(math, main, mathord, \"\\u03d1\", \"\\\\vartheta\");\ndefineSymbol(math, main, mathord, \"\\u03d6\", \"\\\\varpi\");\ndefineSymbol(math, main, mathord, \"\\u03f1\", \"\\\\varrho\");\ndefineSymbol(math, main, mathord, \"\\u03c2\", \"\\\\varsigma\");\ndefineSymbol(math, main, mathord, \"\\u03c6\", \"\\\\varphi\");\ndefineSymbol(math, main, bin, \"\\u2217\", \"*\");\ndefineSymbol(math, main, bin, \"+\", \"+\");\ndefineSymbol(math, main, bin, \"\\u2212\", \"-\");\ndefineSymbol(math, main, bin, \"\\u22c5\", \"\\\\cdot\");\ndefineSymbol(math, main, bin, \"\\u2218\", \"\\\\circ\");\ndefineSymbol(math, main, bin, \"\\u00f7\", \"\\\\div\");\ndefineSymbol(math, main, bin, \"\\u00b1\", \"\\\\pm\");\ndefineSymbol(math, main, bin, \"\\u00d7\", \"\\\\times\");\ndefineSymbol(math, main, bin, \"\\u2229\", \"\\\\cap\");\ndefineSymbol(math, main, bin, \"\\u222a\", \"\\\\cup\");\ndefineSymbol(math, main, bin, \"\\u2216\", \"\\\\setminus\");\ndefineSymbol(math, main, bin, \"\\u2227\", \"\\\\land\");\ndefineSymbol(math, main, bin, \"\\u2228\", \"\\\\lor\");\ndefineSymbol(math, main, bin, \"\\u2227\", \"\\\\wedge\");\ndefineSymbol(math, main, bin, \"\\u2228\", \"\\\\vee\");\ndefineSymbol(math, main, textord, \"\\u221a\", \"\\\\surd\");\ndefineSymbol(math, main, open, \"(\", \"(\");\ndefineSymbol(math, main, open, \"[\", \"[\");\ndefineSymbol(math, main, open, \"\\u27e8\", \"\\\\langle\");\ndefineSymbol(math, main, open, \"\\u2223\", \"\\\\lvert\");\ndefineSymbol(math, main, open, \"\\u2225\", \"\\\\lVert\");\ndefineSymbol(math, main, close, \")\", \")\");\ndefineSymbol(math, main, close, \"]\", \"]\");\ndefineSymbol(math, main, close, \"?\", \"?\");\ndefineSymbol(math, main, close, \"!\", \"!\");\ndefineSymbol(math, main, close, \"\\u27e9\", \"\\\\rangle\");\ndefineSymbol(math, main, close, \"\\u2223\", \"\\\\rvert\");\ndefineSymbol(math, main, close, \"\\u2225\", \"\\\\rVert\");\ndefineSymbol(math, main, rel, \"=\", \"=\");\ndefineSymbol(math, main, rel, \"<\", \"<\");\ndefineSymbol(math, main, rel, \">\", \">\");\ndefineSymbol(math, main, rel, \":\", \":\");\ndefineSymbol(math, main, rel, \"\\u2248\", \"\\\\approx\");\ndefineSymbol(math, main, rel, \"\\u2245\", \"\\\\cong\");\ndefineSymbol(math, main, rel, \"\\u2265\", \"\\\\ge\");\ndefineSymbol(math, main, rel, \"\\u2265\", \"\\\\geq\");\ndefineSymbol(math, main, rel, \"\\u2190\", \"\\\\gets\");\ndefineSymbol(math, main, rel, \">\", \"\\\\gt\");\ndefineSymbol(math, main, rel, \"\\u2208\", \"\\\\in\");\ndefineSymbol(math, main, rel, \"\\u2209\", \"\\\\notin\");\ndefineSymbol(math, main, rel, \"\\u2282\", \"\\\\subset\");\ndefineSymbol(math, main, rel, \"\\u2283\", \"\\\\supset\");\ndefineSymbol(math, main, rel, \"\\u2286\", \"\\\\subseteq\");\ndefineSymbol(math, main, rel, \"\\u2287\", \"\\\\supseteq\");\ndefineSymbol(math, ams, rel, \"\\u2288\", \"\\\\nsubseteq\");\ndefineSymbol(math, ams, rel, \"\\u2289\", \"\\\\nsupseteq\");\ndefineSymbol(math, main, rel, \"\\u22a8\", \"\\\\models\");\ndefineSymbol(math, main, rel, \"\\u2190\", \"\\\\leftarrow\");\ndefineSymbol(math, main, rel, \"\\u2264\", \"\\\\le\");\ndefineSymbol(math, main, rel, \"\\u2264\", \"\\\\leq\");\ndefineSymbol(math, main, rel, \"<\", \"\\\\lt\");\ndefineSymbol(math, main, rel, \"\\u2260\", \"\\\\ne\");\ndefineSymbol(math, main, rel, \"\\u2260\", \"\\\\neq\");\ndefineSymbol(math, main, rel, \"\\u2192\", \"\\\\rightarrow\");\ndefineSymbol(math, main, rel, \"\\u2192\", \"\\\\to\");\ndefineSymbol(math, ams, rel, \"\\u2271\", \"\\\\ngeq\");\ndefineSymbol(math, ams, rel, \"\\u2270\", \"\\\\nleq\");\ndefineSymbol(math, main, spacing, null, \"\\\\!\");\ndefineSymbol(math, main, spacing, \"\\u00a0\", \"\\\\ \");\ndefineSymbol(math, main, spacing, \"\\u00a0\", \"~\");\ndefineSymbol(math, main, spacing, null, \"\\\\,\");\ndefineSymbol(math, main, spacing, null, \"\\\\:\");\ndefineSymbol(math, main, spacing, null, \"\\\\;\");\ndefineSymbol(math, main, spacing, null, \"\\\\enspace\");\ndefineSymbol(math, main, spacing, null, \"\\\\qquad\");\ndefineSymbol(math, main, spacing, null, \"\\\\quad\");\ndefineSymbol(math, main, spacing, \"\\u00a0\", \"\\\\space\");\ndefineSymbol(math, main, punct, \",\", \",\");\ndefineSymbol(math, main, punct, \";\", \";\");\ndefineSymbol(math, main, punct, \":\", \"\\\\colon\");\ndefineSymbol(math, ams, bin, \"\\u22bc\", \"\\\\barwedge\");\ndefineSymbol(math, ams, bin, \"\\u22bb\", \"\\\\veebar\");\ndefineSymbol(math, main, bin, \"\\u2299\", \"\\\\odot\");\ndefineSymbol(math, main, bin, \"\\u2295\", \"\\\\oplus\");\ndefineSymbol(math, main, bin, \"\\u2297\", \"\\\\otimes\");\ndefineSymbol(math, main, textord, \"\\u2202\", \"\\\\partial\");\ndefineSymbol(math, main, bin, \"\\u2298\", \"\\\\oslash\");\ndefineSymbol(math, ams, bin, \"\\u229a\", \"\\\\circledcirc\");\ndefineSymbol(math, ams, bin, \"\\u22a1\", \"\\\\boxdot\");\ndefineSymbol(math, main, bin, \"\\u25b3\", \"\\\\bigtriangleup\");\ndefineSymbol(math, main, bin, \"\\u25bd\", \"\\\\bigtriangledown\");\ndefineSymbol(math, main, bin, \"\\u2020\", \"\\\\dagger\");\ndefineSymbol(math, main, bin, \"\\u22c4\", \"\\\\diamond\");\ndefineSymbol(math, main, bin, \"\\u22c6\", \"\\\\star\");\ndefineSymbol(math, main, bin, \"\\u25c3\", \"\\\\triangleleft\");\ndefineSymbol(math, main, bin, \"\\u25b9\", \"\\\\triangleright\");\ndefineSymbol(math, main, open, \"{\", \"\\\\{\");\ndefineSymbol(math, main, close, \"}\", \"\\\\}\");\ndefineSymbol(math, main, open, \"{\", \"\\\\lbrace\");\ndefineSymbol(math, main, close, \"}\", \"\\\\rbrace\");\ndefineSymbol(math, main, open, \"[\", \"\\\\lbrack\");\ndefineSymbol(math, main, close, \"]\", \"\\\\rbrack\");\ndefineSymbol(math, main, open, \"\\u230a\", \"\\\\lfloor\");\ndefineSymbol(math, main, close, \"\\u230b\", \"\\\\rfloor\");\ndefineSymbol(math, main, open, \"\\u2308\", \"\\\\lceil\");\ndefineSymbol(math, main, close, \"\\u2309\", \"\\\\rceil\");\ndefineSymbol(math, main, textord, \"\\\\\", \"\\\\backslash\");\ndefineSymbol(math, main, textord, \"\\u2223\", \"|\");\ndefineSymbol(math, main, textord, \"\\u2223\", \"\\\\vert\");\ndefineSymbol(math, main, textord, \"\\u2225\", \"\\\\|\");\ndefineSymbol(math, main, textord, \"\\u2225\", \"\\\\Vert\");\ndefineSymbol(math, main, rel, \"\\u2191\", \"\\\\uparrow\");\ndefineSymbol(math, main, rel, \"\\u21d1\", \"\\\\Uparrow\");\ndefineSymbol(math, main, rel, \"\\u2193\", \"\\\\downarrow\");\ndefineSymbol(math, main, rel, \"\\u21d3\", \"\\\\Downarrow\");\ndefineSymbol(math, main, rel, \"\\u2195\", \"\\\\updownarrow\");\ndefineSymbol(math, main, rel, \"\\u21d5\", \"\\\\Updownarrow\");\ndefineSymbol(math, math, op, \"\\u2210\", \"\\\\coprod\");\ndefineSymbol(math, math, op, \"\\u22c1\", \"\\\\bigvee\");\ndefineSymbol(math, math, op, \"\\u22c0\", \"\\\\bigwedge\");\ndefineSymbol(math, math, op, \"\\u2a04\", \"\\\\biguplus\");\ndefineSymbol(math, math, op, \"\\u22c2\", \"\\\\bigcap\");\ndefineSymbol(math, math, op, \"\\u22c3\", \"\\\\bigcup\");\ndefineSymbol(math, math, op, \"\\u222b\", \"\\\\int\");\ndefineSymbol(math, math, op, \"\\u222b\", \"\\\\intop\");\ndefineSymbol(math, math, op, \"\\u222c\", \"\\\\iint\");\ndefineSymbol(math, math, op, \"\\u222d\", \"\\\\iiint\");\ndefineSymbol(math, math, op, \"\\u220f\", \"\\\\prod\");\ndefineSymbol(math, math, op, \"\\u2211\", \"\\\\sum\");\n\ndefineSymbol(math, math, op, \"\\u2a02\", \"\\\\bigotimes\");\ndefineSymbol(math, math, op, \"\\u2a01\", \"\\\\bigoplus\");\ndefineSymbol(math, math, op, \"\\u2a00\", \"\\\\bigodot\");\ndefineSymbol(math, math, op, \"\\u222e\", \"\\\\oint\");\ndefineSymbol(math, math, op, \"\\u2a06\", \"\\\\bigsqcup\");\ndefineSymbol(math, math, op, \"\\u222b\", \"\\\\smallint\");\ndefineSymbol(math, main, inner, \"\\u2026\", \"\\\\ldots\");\ndefineSymbol(math, main, inner, \"\\u22ef\", \"\\\\cdots\");\ndefineSymbol(math, main, inner, \"\\u22f1\", \"\\\\ddots\");\ndefineSymbol(math, main, textord, \"\\u22ee\", \"\\\\vdots\");\ndefineSymbol(math, main, accent, \"\\u00b4\", \"\\\\acute\");\ndefineSymbol(math, main, accent, \"\\u0060\", \"\\\\grave\");\ndefineSymbol(math, main, accent, \"\\u00a8\", \"\\\\ddot\");\ndefineSymbol(math, main, accent, \"\\u007e\", \"\\\\tilde\");\ndefineSymbol(math, main, accent, \"\\u00af\", \"\\\\bar\");\ndefineSymbol(math, main, accent, \"\\u02d8\", \"\\\\breve\");\ndefineSymbol(math, main, accent, \"\\u02c7\", \"\\\\check\");\ndefineSymbol(math, main, accent, \"\\u005e\", \"\\\\hat\");\ndefineSymbol(math, main, accent, \"\\u20d7\", \"\\\\vec\");\ndefineSymbol(math, main, accent, \"\\u02d9\", \"\\\\dot\");\ndefineSymbol(math, main, mathord, \"\\u0131\", \"\\\\imath\");\ndefineSymbol(math, main, mathord, \"\\u0237\", \"\\\\jmath\");\n\n\ndefineSymbol(text, main, spacing, \"\\u00a0\", \"\\\\ \");\ndefineSymbol(text, main, spacing, \"\\u00a0\", \" \");\ndefineSymbol(text, main, spacing, \"\\u00a0\", \"~\");\n\n// There are lots of symbols which are the same, so we add them in afterwards.\nvar i;\nvar ch;\n\n// All of these are textords in math mode\nvar mathTextSymbols = \"0123456789/@.\\\"\";\nfor (i = 0; i < mathTextSymbols.length; i++) {\n ch = mathTextSymbols.charAt(i);\n defineSymbol(math, main, textord, ch, ch);\n}\n\n// All of these are textords in text mode\nvar textSymbols = \"0123456789`!@*()-=+[]'\\\";:?/.,\";\nfor (i = 0; i < textSymbols.length; i++) {\n ch = textSymbols.charAt(i);\n defineSymbol(text, main, textord, ch, ch);\n}\n\n// All of these are textords in text mode, and mathords in math mode\nvar letters = \"abcdefghijklmnopqrstuvwxyzABCDEFGHIJKLMNOPQRSTUVWXYZ\";\nfor (i = 0; i < letters.length; i++) {\n ch = letters.charAt(i);\n defineSymbol(math, main, mathord, ch, ch);\n defineSymbol(text, main, textord, ch, ch);\n}\n"
},
{
"path": "pix2tex/dataset/preprocessing/third_party/katex/src/utils.js",
"content": "/**\n * This file contains a list of utility functions which are useful in other\n * files.\n */\n\n/**\n * Provide an `indexOf` function which works in IE8, but defers to native if\n * possible.\n */\nvar nativeIndexOf = Array.prototype.indexOf;\nvar indexOf = function(list, elem) {\n if (list == null) {\n return -1;\n }\n if (nativeIndexOf && list.indexOf === nativeIndexOf) {\n return list.indexOf(elem);\n }\n var i = 0;\n var l = list.length;\n for (; i < l; i++) {\n if (list[i] === elem) {\n return i;\n }\n }\n return -1;\n};\n\n/**\n * Return whether an element is contained in a list\n */\nvar contains = function(list, elem) {\n return indexOf(list, elem) !== -1;\n};\n\n/**\n * Provide a default value if a setting is undefined\n */\nvar deflt = function(setting, defaultIfUndefined) {\n return setting === undefined ? defaultIfUndefined : setting;\n};\n\n// hyphenate and escape adapted from Facebook's React under Apache 2 license\n\nvar uppercase = /([A-Z])/g;\nvar hyphenate = function(str) {\n return str.replace(uppercase, \"-$1\").toLowerCase();\n};\n\nvar ESCAPE_LOOKUP = {\n \"&\": \"&\",\n \">\": \">\",\n \"<\": \"<\",\n \"\\\"\": \""\",\n \"'\": \"'\",\n};\n\nvar ESCAPE_REGEX = /[&><\"']/g;\n\nfunction escaper(match) {\n return ESCAPE_LOOKUP[match];\n}\n\n/**\n * Escapes text to prevent scripting attacks.\n *\n * @param {*} text Text value to escape.\n * @return {string} An escaped string.\n */\nfunction escape(text) {\n return (\"\" + text).replace(ESCAPE_REGEX, escaper);\n}\n\n/**\n * A function to set the text content of a DOM element in all supported\n * browsers. Note that we don't define this if there is no document.\n */\nvar setTextContent;\nif (typeof document !== \"undefined\") {\n var testNode = document.createElement(\"span\");\n if (\"textContent\" in testNode) {\n setTextContent = function(node, text) {\n node.textContent = text;\n };\n } else {\n setTextContent = function(node, text) {\n node.innerText = text;\n };\n }\n}\n\n/**\n * A function to clear a node.\n */\nfunction clearNode(node) {\n setTextContent(node, \"\");\n}\n\nmodule.exports = {\n contains: contains,\n deflt: deflt,\n escape: escape,\n hyphenate: hyphenate,\n indexOf: indexOf,\n setTextContent: setTextContent,\n clearNode: clearNode,\n};\n"
},
{
"path": "pix2tex/dataset/preprocessing/third_party/match-at/README.md",
"content": "# match-at [](https://travis-ci.org/spicyj/match-at)\n"
},
{
"path": "pix2tex/dataset/preprocessing/third_party/match-at/lib/matchAt.js",
"content": "/** @flow */\n\n\"use strict\";\n\nfunction getRelocatable(re) {\n // In the future, this could use a WeakMap instead of an expando.\n if (!re.__matchAtRelocatable) {\n // Disjunctions are the lowest-precedence operator, so we can make any\n // pattern match the empty string by appending `|()` to it:\n // https://people.mozilla.org/~jorendorff/es6-draft.html#sec-patterns\n var source = re.source + \"|()\";\n\n // We always make the new regex global.\n var flags = \"g\" + (re.ignoreCase ? \"i\" : \"\") + (re.multiline ? \"m\" : \"\") + (re.unicode ? \"u\" : \"\")\n // sticky (/.../y) doesn't make sense in conjunction with our relocation\n // logic, so we ignore it here.\n ;\n\n re.__matchAtRelocatable = new RegExp(source, flags);\n }\n return re.__matchAtRelocatable;\n}\n\nfunction matchAt(re, str, pos) {\n if (re.global || re.sticky) {\n throw new Error(\"matchAt(...): Only non-global regexes are supported\");\n }\n var reloc = getRelocatable(re);\n reloc.lastIndex = pos;\n var match = reloc.exec(str);\n // Last capturing group is our sentinel that indicates whether the regex\n // matched at the given location.\n if (match[match.length - 1] == null) {\n // Original regex matched.\n match.length = match.length - 1;\n return match;\n } else {\n return null;\n }\n}\n\nmodule.exports = matchAt;"
},
{
"path": "pix2tex/dataset/preprocessing/third_party/match-at/package.json",
"content": "{\n \"name\": \"match-at\",\n \"version\": \"0.1.0\",\n \"description\": \"Relocatable regular expressions.\",\n \"repository\": {\n \"type\": \"git\",\n \"url\": \"https://github.com/spicyj/match-at\"\n },\n \"main\": \"lib/matchAt.js\",\n \"files\": [\n \"lib/\"\n ],\n \"devDependencies\": {\n \"babel\": \"^4.7.16\",\n \"jest-cli\": \"^0.4.0\",\n \"react-tools\": \"^0.13.1\"\n },\n \"jest\": {\n \"scriptPreprocessor\": \"/jestSupport/preprocessor.js\",\n \"unmockedModulePathPatterns\": [\n \"\"\n ]\n },\n \"scripts\": {\n \"prepublish\": \"babel -d lib/ src/\",\n \"test\": \"jest\"\n },\n \"gitHead\": \"4197daff69720734c72ba3321ed68a41c0527fb2\",\n \"bugs\": {\n \"url\": \"https://github.com/spicyj/match-at/issues\"\n },\n \"homepage\": \"https://github.com/spicyj/match-at\",\n \"_id\": \"match-at@0.1.0\",\n \"_shasum\": \"f561e7709ff9a105b85cc62c6b8ee7c15bf24f31\",\n \"_from\": \"match-at@\",\n \"_npmVersion\": \"2.2.0\",\n \"_nodeVersion\": \"0.10.35\",\n \"_npmUser\": {\n \"name\": \"spicyj\",\n \"email\": \"ben@benalpert.com\"\n },\n \"maintainers\": [\n {\n \"name\": \"spicyj\",\n \"email\": \"ben@benalpert.com\"\n }\n ],\n \"dist\": {\n \"shasum\": \"f561e7709ff9a105b85cc62c6b8ee7c15bf24f31\",\n \"tarball\": \"https://registry.npmjs.org/match-at/-/match-at-0.1.0.tgz\"\n },\n \"directories\": {},\n \"_resolved\": \"https://registry.npmjs.org/match-at/-/match-at-0.1.0.tgz\"\n}\n"
},
{
"path": "pix2tex/dataset/render.py",
"content": "\nfrom pix2tex.dataset.latex2png import Latex, tex2pil\nimport argparse\nimport sys\nimport os\nimport glob\nimport shutil\nfrom tqdm.auto import tqdm\nimport cv2\nimport numpy as np\nfrom PIL import Image\nimport subprocess\n\n\ndef get_installed_fonts(tex_path: str):\n cmd = \"find %s -name *Math*.otf\" % tex_path\n process = subprocess.Popen(cmd,\n stdout=subprocess.PIPE,\n stderr=subprocess.PIPE,\n universal_newlines=True,\n shell=True\n )\n stdout, stderr = process.communicate()\n if process.returncode != 0:\n raise Exception(stderr)\n fonts = [_.split(os.sep)[-1] for _ in stdout.split('\\n')][:-1]\n fonts.extend([\"Latin Modern Math\"]*len(fonts))\n return fonts\n\n\ndef render_dataset(dataset: np.ndarray, unrendered: np.ndarray, args) -> np.ndarray:\n \"\"\"Renders a list of tex equations\n\n Args:\n dataset (numpy.ndarray): List of equations\n unrendered (numpy.ndarray): List of integers of size `dataset` that give the name of the saved image\n args (Union[Namespace, Munch]): additional arguments: mode (equation or inline), out (output directory), divable (common factor )\n batchsize (how many samples to render at once), dpi, font (Math font), preprocess (crop, alpha off)\n shuffle (bool)\n\n Returns:\n numpy.ndarray: equation indices that could not be rendered\n \"\"\"\n assert len(unrendered) == len(dataset), 'unrendered and dataset must be of equal size'\n math_mode = '$$'if args.mode == 'equation' else '$'\n os.makedirs(args.out, exist_ok=True)\n # remove successfully rendered equations\n rendered = np.array([int(os.path.basename(img).split('.')[0])\n for img in glob.glob(os.path.join(args.out, '*.png'))])\n valid = [i for i, j in enumerate(unrendered) if j not in rendered]\n # update unrendered and dataset\n dataset = dataset[valid]\n unrendered = unrendered[valid]\n order = np.random.permutation(len(dataset)) if args.shuffle else np.arange(len(dataset))\n faulty = []\n for batch_offset in tqdm(range(0, len(dataset), args.batchsize), desc=\"global batch index\"):\n batch = dataset[order[batch_offset:batch_offset+args.batchsize]]\n #batch = [x for j, x in enumerate(batch) if order[i+j] not in indices]\n if len(batch) == 0:\n continue\n valid_math = np.asarray([[i, \"%s %s %s\" % (math_mode, x, math_mode)] for i, x in enumerate(\n batch) if x != ''], dtype=object) # space used to prevent escape $\n #print('\\n', i, len(math), '\\n'.join(math))\n font = font = np.random.choice(args.font) if len(\n args.font) > 1 else args.font[0]\n dpi = np.random.choice(np.arange(min(args.dpi), max(args.dpi))) if len(\n args.dpi) > 1 else args.dpi[0]\n if len(valid_math) > 0:\n valid_idx, math = valid_math.T\n valid_idx = valid_idx.astype(np.int32)\n try:\n if args.preprocess:\n pngs, error_index = tex2pil(\n math, dpi=dpi, font=font, return_error_index=True)\n else:\n pngs, error_index = Latex(math, dpi=dpi, font=font).write(\n return_bytes=False)\n # error_index not count \"\" line, use valid_idx transfer to real index matching in batch index\n local_error_index = valid_idx[error_index]\n # tranfer in batch index to global batch index\n global_error_index = [\n batch_offset+_ for _ in local_error_index]\n faulty.extend(list(unrendered[order[global_error_index]]))\n except Exception as e:\n print(\"\\n%s\" % e, end='')\n faulty.extend(\n list(unrendered[order[batch_offset:batch_offset+args.batchsize]]))\n continue\n\n for inbatch_idx, order_idx in enumerate(range(batch_offset, batch_offset+args.batchsize)):\n # exclude render failed equations and blank line\n if inbatch_idx in local_error_index or inbatch_idx not in valid_idx:\n continue\n outpath = os.path.join(args.out, '%07d.png' % unrendered[order[order_idx]])\n png_idx = np.where(valid_idx == inbatch_idx)[0][0]\n if args.preprocess:\n try:\n data = np.asarray(pngs[png_idx])\n # print(data.shape)\n # To invert the text to white\n gray = 255*(data[..., 0] < 128).astype(np.uint8)\n white_pixels = np.sum(gray == 255)\n # some png will be whole white, because some equation's syntax is wrong\n # eg.$$ \\mathit { \\Iota \\Kappa \\Lambda \\Mu \\Nu \\Xi \\Omicron \\Pi } $$\n # extract from wikipedia english dump file https://dumps.wikimedia.org/enwiki/latest/\n white_percentage = (white_pixels / (gray.shape[0] * gray.shape[1]))\n if white_percentage == 0:\n continue\n # Find all non-zero points (text)\n coords = cv2.findNonZero(gray)\n # Find minimum spanning bounding box\n a, b, w, h = cv2.boundingRect(coords)\n rect = data[b:b+h, a:a+w]\n im = Image.fromarray((255-rect[..., -1]).astype(np.uint8)).convert('L')\n dims = []\n for x in [w, h]:\n div, mod = divmod(x, args.divable)\n dims.append(args.divable*(div + (1 if mod > 0 else 0)))\n padded = Image.new('L', dims, 255)\n padded.paste(im, (0, 0, im.size[0], im.size[1]))\n padded.save(outpath)\n except Exception as e:\n print(e)\n pass\n else:\n shutil.move(pngs[png_idx], outpath)\n # prevent repeat between two error_index and imagemagic error\n faulty = list(set(faulty))\n faulty.sort()\n return np.array(faulty)\n\n\nif __name__ == '__main__':\n\n parser = argparse.ArgumentParser(description='Render dataset')\n parser.add_argument('-i', '--data', type=str,\n required=True, help='file of list of latex code')\n parser.add_argument('-o', '--out', type=str,\n required=True, help='output directory')\n parser.add_argument('-b', '--batchsize', type=int, default=100,\n help='How many equations to render at once')\n parser.add_argument('-f', '--font', nargs='+', type=str,\n default=\"\", help='font to use.')\n parser.add_argument('-fp', '--fonts_path', type=str,\n default=\"/usr/local/texlive/\", help='installed font path')\n parser.add_argument('-m', '--mode', choices=[\n 'inline', 'equation'], default='equation', help='render as inline or equation')\n parser.add_argument('--dpi', type=int, default=[110, 170], nargs='+', help='dpi range to render in')\n parser.add_argument('-p', '--no-preprocess', dest='preprocess', default=True,\n action='store_false', help='crop, remove alpha channel, padding')\n parser.add_argument('-d', '--divable', type=int, default=32,\n help='To what factor to pad the images')\n parser.add_argument('-s', '--shuffle', action='store_true',\n help='Whether to shuffle the equations in the first iteration')\n args = parser.parse_args(sys.argv[1:])\n args.font = args.font if args.font != \"\" else get_installed_fonts(\n args.fonts_path)\n print(args.font)\n dataset = np.array(open(args.data, 'r').read().split('\\n'), dtype=object)\n unrendered = np.arange(len(dataset))\n failed = np.array([])\n while unrendered.tolist() != failed.tolist():\n failed = unrendered\n unrendered = render_dataset(dataset[unrendered], unrendered, args)\n if len(unrendered) < 50*args.batchsize:\n args.batchsize = max([1, args.batchsize//2])\n args.shuffle = True\n"
},
{
"path": "pix2tex/dataset/scraping.py",
"content": "import os\nimport sys\nimport random\nfrom tqdm import tqdm\nimport html\nimport requests\nimport re\nimport argparse\nimport logging\nfrom typing import Callable, List, Tuple\nfrom pix2tex.dataset.extract_latex import find_math\n\nhtmltags = re.compile(r'<(noscript|script)>.*?<\\/\\1>', re.S)\nwikilinks = re.compile(r'href=\"/wiki/(.*?)\"')\nwiki_base = 'https://en.wikipedia.org/wiki/'\nstackexchangelinks = re.compile(r'(?:(https:\\/\\/\\w+)\\.stack\\w+\\.com|)\\/questions\\/(\\d+\\/[\\w\\d\\/-]+)')\nmath_stack_exchange_base = 'https://math.stackexchange.com/questions/'\nphysics_stack_exchange_base = 'https://physics.stackexchange.com/questions/'\n\n# recursive search\n\n\ndef recursive_search(parser: Callable, seeds: List[str], depth: int = 2, skip: List[str] = [], unit: str = 'links', base_url: str = None, **kwargs) -> Tuple[List[str], List[str]]:\n \"\"\"Find math recursively. Look in `seeds` for math and further sites to look.\n\n Args:\n parser (Callable): A function that returns a `Tuple[List[str], List[str]]` of math and ids (for `base_url`) respectively.\n seeds (List[str]): Fist set of ids.\n depth (int, optional): How many iterations to look for. Defaults to 2.\n skip (List[str], optional): List of alreadly visited ids. Defaults to [].\n unit (str, optional): Tqdm verbose unit description. Defaults to 'links'.\n base_url (str, optional): Base url to add ids to. Defaults to None.\n\n Returns:\n Tuple[List[str],List[str]]: Returns list of found math and visited ids respectively.\n \"\"\"\n visited, links = set(skip), set(seeds)\n math = []\n try:\n for i in range(int(depth)):\n link_list = list(links)\n random.shuffle(link_list)\n t_bar = tqdm(link_list, initial=len(visited), unit=unit)\n for link in t_bar:\n if not link in visited:\n t_bar.set_description('searching %s' % (link[:15]))\n if base_url:\n m, l = parser(base_url+link, **kwargs)\n else:\n m, l = parser(link, **kwargs)\n # check if we got any math from this wiki page and\n # if not terminate the tree\n if len(m) > 0:\n for li in l:\n links.add(li)\n # t_bar.total = len(links)\n math.extend(m)\n visited.add(link)\n return list(visited), list(set(math))\n except Exception as e:\n logging.debug(e)\n return list(visited), list(set(math))\n except KeyboardInterrupt:\n return list(visited), list(set(math))\n\n\ndef parse_url(url, encoding=None):\n r = requests.get(url)\n if r.ok:\n if encoding:\n r.encoding = encoding\n return html.unescape(re.sub(htmltags, '', r.text))\n return ''\n\n\ndef parse_wiki(url):\n text = parse_url(url)\n linked = list(set([l for l in re.findall(wikilinks, text) if not ':' in l]))\n return find_math(text, wiki=True), linked\n\n\ndef parse_stack_exchange(url):\n text = parse_url(url)\n linked = list(set([l[1] for l in re.findall(stackexchangelinks, text) if url.startswith(l[0])]))\n return find_math(text, wiki=False), linked\n\n# recursive wiki search\n\n\ndef recursive_wiki(seeds, depth=4, skip=[], base_url=wiki_base):\n '''Recursivley search wikipedia for math. Every link on the starting page `start` will be visited in the next round and so on, until there is no \n math in the child page anymore. This will be repeated `depth` times.'''\n start = [s.split('/')[-1] for s in seeds]\n return recursive_search(parse_wiki, start, depth, skip, base_url=base_url, unit=' links')\n\n\ndef recursive_stack_exchange(seeds, depth=4, skip=[], base_url=math_stack_exchange_base):\n '''Recursively search through stack exchange questions'''\n start = [s.partition(base_url.split('//')[-1])[-1] for s in seeds]\n return recursive_search(parse_stack_exchange, start, depth, skip, base_url=base_url, unit=' questions')\n\n\nif __name__ == '__main__':\n parser = argparse.ArgumentParser(description='Extract math from websites')\n parser.add_argument('-m', '--mode', default='auto', choices=['auto', 'wiki', 'math_stack', 'physics_stack'],\n help='What website to scrape. Choices: `auto` determine by input, `wiki` wikipedia, \\\n `math_stack` math.stackexchange, `physics_stack` physics.stackexchange.')\n parser.add_argument(nargs='*', dest='url', default=['https://en.wikipedia.org/wiki/Mathematics', 'https://en.wikipedia.org/wiki/Physics'],\n help='starting url(s). Default: Mathematics, Physics wiki pages')\n parser.add_argument('-o', '--out', default=os.path.join(os.path.dirname(os.path.realpath(__file__)), 'data'), help='output directory')\n args = parser.parse_args()\n if '.' in args.out:\n args.out = os.path.dirname(args.out)\n # determine website\n if args.mode == 'auto':\n if len(args.url) == 0:\n raise ValueError('Provide an starting url')\n url = args.url[0]\n if re.search(wikilinks, url) is not None:\n args.mode = 'wiki'\n elif re.search(stackexchangelinks, url) is not None:\n if 'math' in url:\n args.mode = 'math_stack'\n elif 'physics' in url:\n args.mode = 'physics_stack'\n else:\n raise NotImplementedError('The website was not recognized')\n skips = os.path.join(args.out, f'visited_{args.mode}.txt')\n if os.path.exists(skips):\n skip = open(skips, 'r', encoding='utf-8').read().split('\\n')\n else:\n skip = []\n try:\n if args.mode == 'physics_stack':\n visited, math = recursive_stack_exchange(args.url, base_url=physics_stack_exchange_base)\n elif args.mode == 'math_stack':\n visited, math = recursive_stack_exchange(args.url, base_url=math_stack_exchange_base)\n elif args.mode == 'wiki':\n visited, math = recursive_wiki(args.url)\n except KeyboardInterrupt:\n pass\n print('Found %i instances of math latex code. Save to %s' % (len(math), args.out))\n for l, name in zip([visited, math], [f'visited_{args.mode}.txt', f'math_{args.mode}.txt']):\n f = os.path.join(args.out, name)\n if not os.path.exists(f):\n open(f, 'w').write('')\n f = open(f, 'a', encoding='utf-8')\n for element in l:\n f.write(element)\n f.write('\\n')\n f.close()\n"
},
{
"path": "pix2tex/dataset/transforms.py",
"content": "import albumentations as alb\nfrom albumentations.pytorch import ToTensorV2\n\ntrain_transform = alb.Compose(\n [\n alb.Compose(\n [alb.ShiftScaleRotate(shift_limit=0, scale_limit=(-.15, 0), rotate_limit=1, border_mode=0, interpolation=3,\n value=[255, 255, 255], p=1),\n alb.GridDistortion(distort_limit=0.1, border_mode=0, interpolation=3, value=[255, 255, 255], p=.5)], p=.15),\n # alb.InvertImg(p=.15),\n alb.RGBShift(r_shift_limit=15, g_shift_limit=15,\n b_shift_limit=15, p=0.3),\n alb.GaussNoise(10, p=.2),\n alb.RandomBrightnessContrast(.05, (-.2, 0), True, p=0.2),\n alb.ImageCompression(95, p=.3),\n alb.ToGray(always_apply=True),\n alb.Normalize((0.7931, 0.7931, 0.7931), (0.1738, 0.1738, 0.1738)),\n # alb.Sharpen()\n ToTensorV2(),\n ]\n)\ntest_transform = alb.Compose(\n [\n alb.ToGray(always_apply=True),\n alb.Normalize((0.7931, 0.7931, 0.7931), (0.1738, 0.1738, 0.1738)),\n # alb.Sharpen()\n ToTensorV2(),\n ]\n)"
},
{
"path": "pix2tex/eval.py",
"content": "from pix2tex.dataset.dataset import Im2LatexDataset\nimport argparse\nimport logging\nimport yaml\n\nimport numpy as np\nimport torch\nfrom torchtext.data import metrics\nfrom munch import Munch\nfrom tqdm.auto import tqdm\nimport wandb\nfrom Levenshtein import distance\n\nfrom pix2tex.models import get_model, Model\nfrom pix2tex.utils import *\n\n\ndef detokenize(tokens, tokenizer):\n toks = [tokenizer.convert_ids_to_tokens(tok) for tok in tokens]\n for b in range(len(toks)):\n for i in reversed(range(len(toks[b]))):\n if toks[b][i] is None:\n toks[b][i] = ''\n toks[b][i] = toks[b][i].replace('Ġ', ' ').strip()\n if toks[b][i] in (['[BOS]', '[EOS]', '[PAD]']):\n del toks[b][i]\n return toks\n\n\n@torch.no_grad()\ndef evaluate(model: Model, dataset: Im2LatexDataset, args: Munch, num_batches: int = None, name: str = 'test'):\n \"\"\"evaluates the model. Returns bleu score on the dataset\n\n Args:\n model (torch.nn.Module): the model\n dataset (Im2LatexDataset): test dataset\n args (Munch): arguments\n num_batches (int): How many batches to evaluate on. Defaults to None (all batches).\n name (str, optional): name of the test e.g. val or test for wandb. Defaults to 'test'.\n\n Returns:\n Tuple[float, float, float]: BLEU score of validation set, normed edit distance, token accuracy\n \"\"\"\n assert len(dataset) > 0\n device = args.device\n log = {}\n bleus, edit_dists, token_acc = [], [], []\n bleu_score, edit_distance, token_accuracy = 0, 1, 0\n pbar = tqdm(enumerate(iter(dataset)), total=len(dataset))\n for i, (seq, im) in pbar:\n if seq is None or im is None:\n continue\n #loss = decoder(tgt_seq, mask=tgt_mask, context=encoded)\n dec = model.generate(im.to(device), temperature=args.get('temperature', .2))\n pred = detokenize(dec, dataset.tokenizer)\n truth = detokenize(seq['input_ids'], dataset.tokenizer)\n bleus.append(metrics.bleu_score(pred, [alternatives(x) for x in truth]))\n for predi, truthi in zip(token2str(dec, dataset.tokenizer), token2str(seq['input_ids'], dataset.tokenizer)):\n ts = post_process(truthi)\n if len(ts) > 0:\n edit_dists.append(distance(post_process(predi), ts)/len(ts))\n dec = dec.cpu()\n tgt_seq = seq['input_ids'][:, 1:]\n shape_diff = dec.shape[1]-tgt_seq.shape[1]\n if shape_diff < 0:\n dec = torch.nn.functional.pad(dec, (0, -shape_diff), \"constant\", args.pad_token)\n elif shape_diff > 0:\n tgt_seq = torch.nn.functional.pad(tgt_seq, (0, shape_diff), \"constant\", args.pad_token)\n mask = torch.logical_or(tgt_seq != args.pad_token, dec != args.pad_token)\n tok_acc = (dec == tgt_seq)[mask].float().mean().item()\n token_acc.append(tok_acc)\n pbar.set_description('BLEU: %.3f, ED: %.2e, ACC: %.3f' % (np.mean(bleus), np.mean(edit_dists), np.mean(token_acc)))\n if num_batches is not None and i >= num_batches:\n break\n if len(bleus) > 0:\n bleu_score = np.mean(bleus)\n log[name+'/bleu'] = bleu_score\n if len(edit_dists) > 0:\n edit_distance = np.mean(edit_dists)\n log[name+'/edit_distance'] = edit_distance\n if len(token_acc) > 0:\n token_accuracy = np.mean(token_acc)\n log[name+'/token_acc'] = token_accuracy\n if args.wandb:\n # samples\n pred = token2str(dec, dataset.tokenizer)\n truth = token2str(seq['input_ids'], dataset.tokenizer)\n table = wandb.Table(columns=[\"Truth\", \"Prediction\"])\n for k in range(min([len(pred), args.test_samples])):\n table.add_data(post_process(truth[k]), post_process(pred[k]))\n log[name+'/examples'] = table\n wandb.log(log)\n else:\n print('\\n%s\\n%s' % (truth, pred))\n print('BLEU: %.2f' % bleu_score)\n return bleu_score, edit_distance, token_accuracy\n\n\nif __name__ == '__main__':\n parser = argparse.ArgumentParser(description='Test model')\n parser.add_argument('--config', default=None, help='path to yaml config file', type=str)\n parser.add_argument('-c', '--checkpoint', default=None, type=str, help='path to model checkpoint')\n parser.add_argument('-d', '--data', default='dataset/data/val.pkl', type=str, help='Path to Dataset pkl file')\n parser.add_argument('--no-cuda', action='store_true', help='Use CPU')\n parser.add_argument('-b', '--batchsize', type=int, default=10, help='Batch size')\n parser.add_argument('--debug', action='store_true', help='DEBUG')\n parser.add_argument('-t', '--temperature', type=float, default=.333, help='sampling emperature')\n parser.add_argument('-n', '--num-batches', type=int, default=None, help='how many batches to evaluate on. Defaults to None (all)')\n\n parsed_args = parser.parse_args()\n if parsed_args.config is None:\n with in_model_path():\n parsed_args.config = os.path.realpath('settings/config.yaml')\n with open(parsed_args.config, 'r') as f:\n params = yaml.load(f, Loader=yaml.FullLoader)\n args = parse_args(Munch(params))\n args.testbatchsize = parsed_args.batchsize\n args.wandb = False\n args.temperature = parsed_args.temperature\n logging.getLogger().setLevel(logging.DEBUG if parsed_args.debug else logging.WARNING)\n seed_everything(args.seed if 'seed' in args else 42)\n model = get_model(args)\n if parsed_args.checkpoint is None:\n with in_model_path():\n parsed_args.checkpoint = os.path.realpath('checkpoints/weights.pth')\n model.load_state_dict(torch.load(parsed_args.checkpoint, args.device))\n dataset = Im2LatexDataset().load(parsed_args.data)\n valargs = args.copy()\n valargs.update(batchsize=args.testbatchsize, keep_smaller_batches=True, test=True)\n dataset.update(**valargs)\n evaluate(model, dataset, args, num_batches=parsed_args.num_batches)\n"
},
{
"path": "pix2tex/gui.py",
"content": "from shutil import which\nimport io\nimport subprocess\nimport sys\nimport os\nimport re\nimport tempfile\nfrom PyQt6 import QtCore, QtGui\nfrom PyQt6.QtCore import Qt, pyqtSlot, pyqtSignal, QThread, QTimer, QEvent\nfrom PyQt6.QtGui import QGuiApplication\nfrom PyQt6.QtWebEngineWidgets import QWebEngineView\nfrom PyQt6.QtWidgets import QMainWindow, QApplication, QMessageBox, QVBoxLayout, QWidget, \\\n QPushButton, QTextEdit, QFormLayout, QHBoxLayout, QDoubleSpinBox, QLabel, QRadioButton\nfrom pynput.mouse import Controller\n\nfrom PIL import ImageGrab, Image, ImageEnhance\nimport numpy as np\nfrom screeninfo import get_monitors\nfrom pix2tex import cli\nfrom pix2tex.utils import in_model_path\nfrom latex2sympy2 import latex2sympy\n\nimport pix2tex.resources.resources\n\nACCEPTED_IMAGE_SUFFIX = ['png', 'jpg', 'jpeg']\n\ndef to_sympy(latex):\n normalized = re.sub(r'operatorname\\*{(\\w+)}', '\\g<1>', latex)\n sympy_expr = latex2sympy(f'${normalized}$')\n return sympy_expr\n\n\nclass WebView(QWebEngineView):\n def __init__(self, app) -> None:\n super().__init__()\n self.setAcceptDrops(True)\n self._app = app\n\n def dragEnterEvent(self, event):\n if event.mimeData().urls():\n event.accept()\n else:\n event.ignore()\n\n def dropEvent(self, event):\n urls = event.mimeData().urls()\n self._app.returnFromMimeData(urls)\n\nclass App(QMainWindow):\n isProcessing = False\n\n def __init__(self, args=None):\n super().__init__()\n self.args = args\n self.model = cli.LatexOCR(self.args)\n self.initUI()\n self.snipWidget = SnipWidget(self)\n self.show()\n\n def initUI(self):\n self.setWindowTitle(\"LaTeX OCR\")\n QApplication.setWindowIcon(QtGui.QIcon(':/icons/icon.svg'))\n self.left = 300\n self.top = 300\n self.width = 500\n self.height = 300\n self.setGeometry(self.left, self.top, self.width, self.height)\n self.format_type = 'LaTeX-$'\n self.raw_prediction = ''\n\n # Create LaTeX display\n self.webView = WebView(self)\n self.webView.setHtml(\"\")\n self.webView.setMinimumHeight(80)\n\n # Create textbox\n self.textbox = QTextEdit(self)\n # self.textbox.textChanged.connect(self.displayPrediction)\n self.textbox.textChanged.connect(self.onTextboxChange)\n self.textbox.setMinimumHeight(40)\n self.format_textbox = QTextEdit(self)\n # self.textbox.textChanged.connect(self.displayPrediction)\n self.format_textbox.textChanged.connect(self.onFormatTextboxChange)\n self.format_textbox.setMinimumHeight(40)\n\n # format types\n format_types = QHBoxLayout()\n self.format_label = QLabel('Format:', self)\n self.format_type0 = QRadioButton('Raw', self)\n self.format_type0.toggled.connect(self.onFormatChange)\n self.format_type1 = QRadioButton('LaTeX-$', self)\n self.format_type1.setChecked(True)\n self.format_type1.toggled.connect(self.onFormatChange)\n self.format_type2 = QRadioButton('LaTeX-$$', self)\n self.format_type2.toggled.connect(self.onFormatChange)\n self.format_type3 = QRadioButton('Sympy', self)\n self.format_type3.toggled.connect(self.onFormatChange)\n format_types.addWidget(self.format_label)\n format_types.addWidget(self.format_type0)\n format_types.addWidget(self.format_type1)\n format_types.addWidget(self.format_type2)\n format_types.addWidget(self.format_type3)\n\n # error output\n self.error = QTextEdit(self)\n self.error.setReadOnly(True)\n self.error.setTextColor(Qt.GlobalColor.red)\n self.error.setMinimumHeight(12)\n\n # Create temperature text input\n self.tempField = QDoubleSpinBox(self)\n self.tempField.setValue(self.args.temperature)\n self.tempField.setRange(0, 1)\n self.tempField.setSingleStep(0.1)\n\n # Create snip button\n if sys.platform == \"darwin\":\n self.snipButton = QPushButton('Snip [Option+S]', self)\n self.snipButton.clicked.connect(self.onClick)\n else:\n self.snipButton = QPushButton('Snip [Alt+S]', self)\n self.snipButton.clicked.connect(self.onClick)\n\n self.shortcut = QtGui.QShortcut(QtGui.QKeySequence('Alt+S'), self)\n self.shortcut.activated.connect(self.onClick)\n\n # Create retry button\n self.retryButton = QPushButton('Retry', self)\n self.retryButton.setEnabled(False)\n self.retryButton.clicked.connect(self.returnSnip)\n\n # Create layout\n centralWidget = QWidget()\n centralWidget.setMinimumWidth(200)\n self.setCentralWidget(centralWidget)\n\n lay = QVBoxLayout(centralWidget)\n lay.addWidget(self.webView, stretch=4)\n lay.addWidget(self.textbox, stretch=2)\n lay.addLayout(format_types)\n lay.addWidget(self.format_textbox, stretch=2)\n lay.addWidget(self.error, stretch=1)\n buttons = QHBoxLayout()\n buttons.addWidget(self.snipButton)\n buttons.addWidget(self.retryButton)\n lay.addLayout(buttons)\n settings = QFormLayout()\n settings.addRow('Temperature:', self.tempField)\n lay.addLayout(settings)\n\n self.installEventFilter(self)\n\n def toggleProcessing(self, value=None):\n if value is None:\n self.isProcessing = not self.isProcessing\n else:\n self.isProcessing = value\n if self.isProcessing:\n text = 'Interrupt'\n func = self.interrupt\n else:\n if sys.platform == \"darwin\":\n text = 'Snip [Option+S]'\n else:\n text = 'Snip [Alt+S]'\n func = self.onClick\n self.retryButton.setEnabled(True)\n self.shortcut.setEnabled(not self.isProcessing)\n self.snipButton.setText(text)\n self.snipButton.clicked.disconnect()\n self.snipButton.clicked.connect(func)\n self.displayPrediction()\n\n def eventFilter(self, obj, event):\n if event.type() == QEvent.Type.KeyRelease:\n if event.key() == Qt.Key.Key_V and event.modifiers() == Qt.KeyboardModifier.ControlModifier:\n clipboard = QApplication.clipboard()\n img = clipboard.image()\n if not img.isNull():\n self.returnSnip(Image.fromqimage(img))\n else:\n self.returnFromMimeData(clipboard.mimeData().urls())\n\n return super().eventFilter(obj, event)\n\n @pyqtSlot()\n def onClick(self):\n self.close()\n if os.environ.get('SCREENSHOT_TOOL') == \"gnome-screenshot\":\n self.snip_using_gnome_screenshot()\n elif os.environ.get('SCREENSHOT_TOOL') == \"spectacle\":\n self.snip_using_spectacle()\n elif os.environ.get('SCREENSHOT_TOOL') == \"grim\":\n self.snip_using_grim()\n elif os.environ.get('SCREENSHOT_TOOL') == \"pil\":\n self.snipWidget.snip()\n elif which('gnome-screenshot'):\n self.snip_using_gnome_screenshot()\n elif which('grim') and which('slurp'):\n self.snip_using_grim()\n else:\n self.snipWidget.snip()\n\n @pyqtSlot()\n def interrupt(self):\n if hasattr(self, 'thread'):\n self.thread.terminate()\n self.thread.wait()\n self.toggleProcessing(False)\n\n def snip_using_gnome_screenshot(self):\n try:\n with tempfile.NamedTemporaryFile() as tmp:\n subprocess.run([\"gnome-screenshot\", \"--area\", f\"--file={tmp.name}\"])\n # Use `tmp.name` instead of `tmp.file` due to compatability issues between Pillow and tempfile\n self.returnSnip(Image.open(tmp.name))\n except:\n print(f\"Failed to load saved screenshot! Did you cancel the screenshot?\")\n print(\"If you don't have gnome-screenshot installed, please install it.\")\n self.returnSnip()\n\n def snip_using_spectacle(self):\n try:\n with tempfile.NamedTemporaryFile() as tmp:\n subprocess.run([\"spectacle\", \"-r\", \"-b\", \"-n\", \"-o\", f\"{tmp.name}\"])\n self.returnSnip(Image.open(tmp.name))\n except:\n print(f\"Failed to load saved screenshot! Did you cancel the screenshot?\")\n print(\"If you don't have spectacle installed, please install it.\")\n self.returnSnip()\n\n def snip_using_grim(self):\n try:\n p = subprocess.run('slurp',\n check=True,\n capture_output=True,\n text=True)\n geometry = p.stdout.strip()\n\n p = subprocess.run(['grim', '-g', geometry, '-'],\n check=True,\n capture_output=True)\n self.returnSnip(Image.open(io.BytesIO(p.stdout)))\n except:\n print(f\"Failed to load saved screenshot! Did you cancel the screenshot?\")\n print(\"If you don't have slurp and grim installed, please install them.\")\n self.returnSnip()\n\n def returnFromMimeData(self, urls):\n if not urls or not urls[0]:\n return\n\n image_url = urls[0]\n if image_url and image_url.scheme() == 'file' and image_url.fileName().split('.')[-1] in ACCEPTED_IMAGE_SUFFIX:\n image_path = image_url.toLocalFile()\n return self.returnSnip(Image.open(image_path))\n\n def returnSnip(self, img=None):\n self.toggleProcessing(True)\n self.retryButton.setEnabled(False)\n\n if img:\n width, height = img.size\n if width <= 0 or height <= 0:\n self.toggleProcessing(False)\n self.retryButton.setEnabled(True)\n self.show()\n return\n\n if width < 100 or height < 100: # too small size will make OCR wrong\n scale_factor = max(100 / width, 100 / height)\n new_width = int(width * scale_factor)\n new_height = int(height * scale_factor)\n img = img.resize((new_width,new_height), Image.Resampling.LANCZOS)\n contrast = ImageEnhance.Contrast(img)\n img = contrast.enhance(1.5)\n sharpness = ImageEnhance.Sharpness(img)\n img = sharpness.enhance(1.5)\n\n self.show()\n try:\n self.model.args.temperature = self.tempField.value()\n if self.model.args.temperature == 0:\n self.model.args.temperature = 1e-8\n except:\n pass\n # Run the model in a separate thread\n self.thread = ModelThread(img=img, model=self.model)\n self.thread.finished.connect(self.returnPrediction)\n self.thread.finished.connect(self.thread.deleteLater)\n self.thread.start()\n\n def returnPrediction(self, result):\n self.toggleProcessing(False)\n success, prediction = result[\"success\"], result[\"prediction\"]\n\n if success:\n self.raw_prediction = prediction\n self.textbox.setText(prediction)\n self.format_textbox.setText(self.formatPrediction(prediction))\n self.displayPrediction(prediction)\n self.retryButton.setEnabled(True)\n else:\n self.webView.setHtml(\"\")\n msg = QMessageBox()\n msg.setWindowTitle(\" \")\n msg.setText(\"Prediction failed.\")\n msg.exec()\n\n def onFormatChange(self):\n rb = self.sender()\n\n if rb.isChecked():\n self.format_type = rb.text()\n self.format_textbox.setText(self.formatPrediction(self.raw_prediction))\n\n def formatPrediction(self, prediction, format_type=None):\n self.error.setText(\"\")\n prediction = prediction or self.format_textbox.toPlainText()\n\n raw = prediction.strip('$')\n if len(raw) == 0:\n return ''\n\n format_type = format_type or self.format_type\n if format_type == \"Raw\":\n formatted = raw\n elif format_type == \"LaTeX-$\":\n formatted = f\"${raw}$\"\n elif format_type == \"LaTeX-$$\":\n formatted = f\"$${raw}$$\"\n elif format_type == \"MathJax\":\n formatted = raw\n elif format_type == \"Sympy\":\n try:\n formatted = str(to_sympy(raw))\n except Exception as e:\n print(e)\n formatted = raw\n self.error.setText(\"Failed to parse Sympy expr.\")\n else:\n return raw\n\n return formatted\n\n def onTextboxChange(self):\n text = self.textbox.toPlainText()\n new_raw_prediction = self.formatPrediction(text, \"Raw\")\n if new_raw_prediction != self.raw_prediction:\n self.raw_prediction = new_raw_prediction\n self.format_textbox.setText(self.formatPrediction(self.raw_prediction))\n self.displayPrediction()\n\n def onFormatTextboxChange(self):\n text = self.format_textbox.toPlainText()\n clipboard = QApplication.clipboard()\n clipboard.setText(text)\n\n def displayPrediction(self, prediction=None):\n if self.isProcessing:\n pageSource = \"\"\"\n \"\"\"\n else:\n if prediction is None:\n prediction = self.textbox.toPlainText().strip('$')\n pageSource = \"\"\"\n \n \n \n \"\"\" + \"\"\"\n \n $${equation}$$
\n \n \n \"\"\".format(equation=prediction)\n self.webView.setHtml(pageSource)\n\n\nclass ModelThread(QThread):\n finished = pyqtSignal(dict)\n\n def __init__(self, img, model):\n super().__init__()\n self.img = img\n self.model = model\n\n def run(self):\n try:\n prediction = self.model(self.img)\n # replace <, > with \\lt, \\gt so it won't be interpreted as html code\n prediction = prediction.replace('<', '\\\\lt ').replace('>', '\\\\gt ')\n self.finished.emit({\"success\": True, \"prediction\": prediction})\n except Exception as e:\n import traceback\n traceback.print_exc()\n self.finished.emit({\"success\": False, \"prediction\": None})\n\n\nclass SnipWidget(QMainWindow):\n isSnipping = False\n\n def __init__(self, parent):\n super().__init__()\n self.parent = parent\n\n monitos = get_monitors()\n bboxes = np.array([[m.x, m.y, m.width, m.height] for m in monitos])\n x, y, _, _ = bboxes.min(0)\n w, h = bboxes[:, [0, 2]].sum(1).max(), bboxes[:, [1, 3]].sum(1).max()\n self.setGeometry(x, y, w-x, h-y)\n\n self.begin = QtCore.QPoint()\n self.end = QtCore.QPoint()\n\n self.mouse = Controller()\n\n # Create and start the timer\n self.factor = QGuiApplication.primaryScreen().devicePixelRatio()\n self.timer = QTimer(self)\n self.timer.timeout.connect(self.update_geometry_based_on_cursor_position)\n self.timer.start(500)\n\n def update_geometry_based_on_cursor_position(self):\n if not self.isSnipping:\n return\n\n # Update the geometry of the SnipWidget based on the current screen\n mouse_pos = QtGui.QCursor.pos()\n screen = QGuiApplication.screenAt(mouse_pos)\n if screen:\n self.factor = screen.devicePixelRatio()\n screen_geometry = screen.geometry()\n self.setGeometry(screen_geometry)\n\n\n def snip(self):\n self.isSnipping = True\n self.setWindowFlags(QtCore.Qt.WindowType.WindowStaysOnTopHint)\n QApplication.setOverrideCursor(QtGui.QCursor(QtCore.Qt.CursorShape.CrossCursor))\n\n self.show()\n\n def paintEvent(self, event):\n if self.isSnipping:\n brushColor = (0, 180, 255, 100)\n opacity = 0.3\n else:\n brushColor = (255, 255, 255, 0)\n opacity = 0\n\n self.setWindowOpacity(opacity)\n qp = QtGui.QPainter(self)\n qp.setPen(QtGui.QPen(QtGui.QColor('black'), 2))\n qp.setBrush(QtGui.QColor(*brushColor))\n qp.drawRect(QtCore.QRect(self.begin, self.end))\n\n def keyPressEvent(self, event):\n if event.key() == QtCore.Qt.Key.Key_Escape.value:\n QApplication.restoreOverrideCursor()\n self.close()\n self.parent.show()\n event.accept()\n\n def mousePressEvent(self, event):\n self.startPos = self.mouse.position\n\n self.begin = event.pos()\n self.end = self.begin\n self.update()\n\n def mouseMoveEvent(self, event):\n self.end = event.pos()\n self.update()\n\n def mouseReleaseEvent(self, event):\n self.isSnipping = False\n QApplication.restoreOverrideCursor()\n\n startPos = self.startPos\n endPos = self.mouse.position\n\n x1 = int(min(startPos[0], endPos[0]))\n y1 = int(min(startPos[1], endPos[1]))\n x2 = int(max(startPos[0], endPos[0]))\n y2 = int(max(startPos[1], endPos[1]))\n\n self.repaint()\n QApplication.processEvents()\n try:\n img = ImageGrab.grab(bbox=(x1, y1, x2, y2), all_screens=True)\n except Exception as e:\n if sys.platform == \"darwin\":\n img = ImageGrab.grab(bbox=(x1//self.factor, y1//self.factor,\n x2//self.factor, y2//self.factor), all_screens=True)\n else:\n raise e\n QApplication.processEvents()\n\n self.close()\n self.begin = QtCore.QPoint()\n self.end = QtCore.QPoint()\n self.parent.returnSnip(img)\n\ndef main(arguments):\n with in_model_path():\n if os.name != 'nt':\n os.environ['QTWEBENGINE_DISABLE_SANDBOX'] = '1'\n app = QApplication(sys.argv)\n ex = App(arguments)\n sys.exit(app.exec())"
},
{
"path": "pix2tex/model/__init__.py",
"content": "from pix2tex.utils.utils import *\n"
},
{
"path": "pix2tex/model/checkpoints/__init__.py",
"content": "from pix2tex.utils.utils import *\n"
},
{
"path": "pix2tex/model/checkpoints/get_latest_checkpoint.py",
"content": "import requests\nimport os\nimport tqdm\nimport io\n\nurl = 'https://github.com/lukas-blecher/LaTeX-OCR/releases/latest'\n\n\ndef get_latest_tag():\n r = requests.get(url)\n tag = r.url.split('/')[-1]\n if tag == 'releases':\n return 'v0.0.1'\n return tag\n\n\ndef download_as_bytes_with_progress(url: str, name: str = None) -> bytes:\n # source: https://stackoverflow.com/questions/71459213/requests-tqdm-to-a-variable\n resp = requests.get(url, stream=True, allow_redirects=True)\n total = int(resp.headers.get('content-length', 0))\n bio = io.BytesIO()\n if name is None:\n name = url\n with tqdm.tqdm(\n desc=name,\n total=total,\n unit='b',\n unit_scale=True,\n unit_divisor=1024,\n ) as bar:\n for chunk in resp.iter_content(chunk_size=65536):\n bar.update(len(chunk))\n bio.write(chunk)\n return bio.getvalue()\n\n\ndef download_checkpoints():\n tag = 'v0.0.1' # get_latest_tag()\n path = os.path.dirname(__file__)\n print('download weights', tag, 'to path', path)\n weights = 'https://github.com/lukas-blecher/LaTeX-OCR/releases/download/%s/weights.pth' % tag\n resizer = 'https://github.com/lukas-blecher/LaTeX-OCR/releases/download/%s/image_resizer.pth' % tag\n for url, name in zip([weights, resizer], ['weights.pth', 'image_resizer.pth']):\n file = download_as_bytes_with_progress(url, name)\n open(os.path.join(path, name), \"wb\").write(file)\n\n\nif __name__ == '__main__':\n download_checkpoints()\n"
},
{
"path": "pix2tex/model/dataset/tokenizer.json",
"content": 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q\",\"sq rt\",\"th eta\",\"Ġ\\\\ \\\\\",\"g amma\",\"Ġ ]\",\"s igma\",\"g a\",\"me ga\",\"Ġ D\",\"Ġ F\",\"Ġ [\",\"Ġ S\",\"math bf\",\"s u\",\"Ġ P\",\"lo n\",\"Ġ v\",\"su m\",\"psi lon\",\"Ġ V\",\"Ġ C\",\"c dot\",\"e psilon\",\"a t\",\"h at\",\"a d\",\"qu ad\",\"Ġ h\",\"h o\",\"r ho\",\"h i\",\"t o\",\"Ġ E\",\"l a\",\"Ġ H\",\"l de\",\"ti lde\",\"Ġ Q\",\"Ġ 5\",\"v ar\",\"Ġ X\",\"Ġ G\",\"b e\",\"n d\",\"o mega\",\"e nd\",\"g in\",\"be gin\",\"ta u\",\"Ġ 6\",\"n a\",\"ve c\",\"Ġ I\",\"Ġ o\",\"ra ngle\",\"Ġ *\",\"D e\",\"De lta\",\"G amma\",\"p e\",\"ft y\",\"in fty\",\"Ġ K\",\"x i\",\"Ġ 8\",\"o w\",\"Ġ J\",\"Ġ U\",\"r ow\",\"ta r\",\"g e\",\"P hi\",\"a p\",\"Ġ W\",\"c o\",\"me s\",\"ti mes\",\"s in\",\"Ġ Z\",\"la ngle\",\"o pe\",\"r na\",\"ra to\",\"ope rato\",\"rna me\",\"operato rname\",\"tar row\",\"l in\",\"lin e\",\"var phi\",\"p m\",\"r line\",\"L ambda\",\"Ġ\\\\ !\",\"Ġ ;\",\"dot s\",\"co s\",\"Ġ w\",\"righ tarrow\",\"b ig\",\"c hi\",\"o ve\",\"Ġ\\\\ }\",\"ove rline\",\"Ġ 7\",\"e x\",\"p a\",\"s t\",\"pr o\",\"q quad\",\"i v\",\"e qu\",\"equ iv\",\"Ġ O\",\"l n\",\"O mega\",\"l l\",\"Ġ 9\",\"k ap\",\"kap pa\",\"B ig\",\"Ġ\\\\ {\",\"da g\",\"Ġ Y\",\"\\\\ {\",\"var epsilon\",\"cdot s\",\"Ġ :\",\"math cal\",\"P si\",\"Ġ >\",\"b o\",\"bo l\",\"Ġ <\",\"ge r\",\"dag ger\",\"l dots\",\"e ll\",\"b la\",\"na bla\",\"ex p\",\"y le\",\"st yle\",\"z eta\",\"S igma\",\"w i\",\"wi de\",\"si m\",\"le q\",\"Ġ !\",\"big g\",\"math b\",\"mathb b\",\"Ġ\\\\ :\",\"h bar\",\"o times\",\"bol d\",\"\\\\ }\",\"m i\",\"pro x\",\"ap prox\",\"P i\",\"lo g\",\"mi d\",\"s p\",\"ve rt\",\"d i\",\"pro d\",\"pe r\",\"per p\",\"y style\",\"la ystyle\",\"sp laystyle\",\"di splaystyle\",\"me q\",\"si meq\",\"e d\",\"w ed\",\"wed ge\",\"wide tilde\",\"s y\",\"sy m\",\"sym bol\",\"bold symbol\",\"c k\",\"t ex\",\"tex t\",\"r i\",\"T h\",\"Th eta\",\"ge q\",\"s e\",\"e q\",\"n de\",\"u nde\",\"ta n\",\"s c\",\"a st\",\"r c\",\"se t\",\"p t\",\"wide hat\",\"c i\",\"ci rc\",\"r e\",\"ri pt\",\"sc ript\",\"unde rline\",\"Ġ\\\\ |\",\"re l\",\"n eq\",\"s ta\",\"sta ck\",\"stack rel\",\"sin h\",\"o p\",\"u s\",\"cos h\",\"Big g\",\"c e\",\"text style\",\"s tar\",\"n ot\",\"fra k\",\"math frak\",\"m p\",\"bigg r\",\"l us\",\"op lus\",\"var theta\",\"bigg l\",\"Big r\",\"b ra\",\"Big l\",\"f o\",\"s f\",\"su b\",\"sub set\",\"ng rightarrow\",\"e c\",\"bold math\",\"ra ll\",\"fo rall\",\"script style\",\"ec t\",\"par row\",\"u parrow\",\"b j\",\"bj ect\",\"p to\",\"pro pto\",\"Ġ '\",\"lo ngrightarrow\",\"big l\",\"big r\",\"o int\",\"p s\",\"ma ps\",\"maps to\",\"o m\",\"l le\",\"\\\\ |\",\"d dot\",\"c u\",\"b in\",\"bin om\",\"v dots\",\"a ngle\",\"left rightarrow\",\"ove r\",\"o r\",\"math sf\",\"cu p\",\"bra ce\",\"n o\",\"ar c\",\"f lo\",\"flo or\",\"t ri\",\"tri angle\",\"X i\",\"c ot\",\"b ot\",\"co ng\",\"i t\",\"m be\",\"nu mbe\",\"no numbe\",\"nonumbe r\",\"c ap\",\"R igh\",\"Righ tarrow\",\"z e\",\"si ze\",\"text rm\",\"n e\",\"arc tan\",\"ra lle\",\"pa ralle\",\"paralle l\",\"c frac\",\"Ġ- -\",\"o bject\",\"ĠO bject\",\"bra ck\",\"s h\",\"ar row\",\"ow n\",\"var rho\",\"subset eq\",\"r brace\",\"text bf\",\"i math\",\"o d\",\"d own\",\"h e\",\"la nd\",\"script scriptstyle\",\"script size\",\"c he\",\"che ck\",\"s la\",\"over rightarrow\",\"down arrow\",\"Bigg l\",\"g g\",\"n to\",\"pha nto\",\"phanto m\",\"e xi\",\"h line\",\"st s\",\"exi sts\",\"Bigg r\",\"b u\",\"r floor\",\"d dots\",\"i o\",\"io ta\",\"lle t\",\"bu llet\",\"co lon\",\"in us\",\"U psilon\",\"l floor\",\"l brack\",\"unde rbrace\",\"ne g\",\"I m\",\"math it\",\"t in\",\"tin y\",\"j math\",\"le f\",\"sla sh\",\"ve e\",\"m inus\",\"set minus\",\"R e\",\"i int\",\"lef tarrow\",\"V e\",\"Ve rt\",\"at op\",\"su p\",\"big cup\",\"w p\",\"di m\",\"se c\",\"sup set\",\"L o\",\"lo r\",\"pm od\",\"m od\",\"big oplus\",\"i l\",\"b mod\",\"co th\",\"L e\",\"ft rightarrow\",\"Le ftrightarrow\",\"ng leftrightarrow\",\"s ma\",\"u psilon\",\"\\\\ ,\",\"c sc\",\"e ph\",\"al eph\",\"big wedge\",\"arc sin\",\"sma ll\",\"o dot\",\"over set\",\"r brack\",\"mi t\",\"l brace\",\"l i\",\"ar p\",\"ar ge\",\"Ġ\\\\ #\",\"b re\",\"text sf\",\"Lo ngrightarrow\",\"bre ve\",\"e m\",\"y set\",\"var pi\",\"pt yset\",\"em ptyset\",\"f f\",\"i ff\",\"n t\",\"e r\",\"la p\",\"ln ot\",\"da sh\",\"unde r\",\"sla nt\",\"ar g\",\"under set\",\"B o\",\"Bo x\",\"Ġ \\\"\",\"s pa\",\"spa ce\",\"de g\",\"i iint\",\"o o\",\"ot not\",\"fo otnot\",\"arp oo\",\"footnot e\",\"r lap\",\"e s\",\"i mp\",\"s b\",\"t e\",\"big triangle\",\"li es\",\"imp lies\",\"\\\\ ;\",\"k er\",\"footnote size\",\"th arpoo\",\"u p\",\"a cu\",\"acu te\",\"lo ngleftrightarrow\",\"e il\",\"l ce\",\"rc eil\",\"lce il\",\"v phantom\",\"e n\",\"th in\",\"a ck\",\"b ack\",\"t t\",\"back slash\",\"x rightarrow\",\"v dash\",\"to p\",\"righ tharpoo\",\"var sigma\",\"Lo ngleftrightarrow\",\"math op\",\"l arge\",\"big cap\",\"leq slant\",\"Ġ `\",\"over brace\",\"nu p\",\"rightharpoo nup\",\"big otimes\",\"triangle q\",\"L arge\",\"r u\",\"nu ll\",\"bigtriangle up\",\"var no\",\"thin g\",\"varno thing\",\"dot eq\",\"Ġ\\\\ _\",\"over leftarrow\",\"h f\",\"big star\",\"en space\",\"\\\\ !\",\"st ru\",\"stru t\",\"om inus\",\"d iv\",\"o nd\",\"am ond\",\"d dagger\",\"Ġc m\",\"n i\",\"s k\",\"di amond\",\"r Vert\",\"pr ot\",\"prot ect\",\"i p\",\"var Delta\",\"not in\",\"sk ip\",\"l Vert\",\"Ġ\\\\ /\",\"dots c\",\"i ll\",\"u le\",\"\\\\ :\",\"hf ill\",\"k rightarrow\",\"o krightarrow\",\"ho okrightarrow\",\"sh arp\",\"V dash\",\"big vee\",\"subset neq\",\"supset eq\",\"Ġ ?\",\"ng mapsto\",\"lo ngmapsto\",\"cdot p\",\"geq slant\",\"bigtriangle down\",\"dots b\",\"li m\",\"f l\",\"triangle left\",\"fl at\",\"s l\",\"bo x\",\"Ġ-- -\",\"sq cup\",\"j lim\",\"l s\",\"m o\",\"de ls\",\"re f\",\"mo dels\",\"ta g\",\"P r\",\"ma l\",\"o u\",\"l lap\",\"thin space\",\"en skip\",\"V ec\",\"e box\",\"k ebox\",\"n or\",\"r d\",\"s qu\",\"v line\",\"¿ ½\",\"ï ¿½\",\"Ġ �\",\"ma kebox\",\"su rd\",\"nor mal\",\"ar e\",\"squ are\",\"p ou\",\"math rel\",\"var Omega\",\"nd s\",\"small setminus\",\"pou nds\",\"n s\",\"s s\",\"s mi\",\"math or\",\"right lef\",\"text up\",\"tharpoo ns\",\"smi le\",\"mathor d\",\"rightlef tharpoons\",\"c c\",\"Ġ\\\\ -\",\"su cc\",\"f tarrow\",\"r times\",\"de t\",\"pr ec\",\"text tt\",\"o slash\",\"Ġ\\\\ &\",\"arrow vert\",\"l g\",\"Ġm m\",\"int er\",\"ngle ftarrow\",\"hf il\",\"inter cal\",\"f row\",\"Ġ\\\\ *\",\"frow n\",\"m pe\",\"Ġp t\",\"var pro\",\"se arrow\",\"bu mpe\",\"varpro jlim\",\"bumpe q\",\"D own\",\"S S\",\"c d\",\"e re\",\"g cd\",\"o he\",\"t w\",\"le me\",\"th ere\",\"in jlim\",\"ti t\",\"ad rightarrow\",\"var injlim\",\"co mp\",\"tex tit\",\"fo re\",\"over leftrightarrow\",\"Down arrow\",\"ohe adrightarrow\",\"tw oheadrightarrow\",\"leme nt\",\"there fore\",\"comp lement\",\"c a\",\"th i\",\"lo ngleftarrow\",\"big m\",\"triangle right\",\"ne arrow\",\"\\\\ #\",\"n ce\",\"ra l\",\"ca nce\",\"thi ck\",\"cance l\",\"U parrow\",\"n at\",\"u ral\",\"math strut\",\"su it\",\"big circ\",\"small skip\",\"diamond suit\",\"normal size\",\"nat ural\",\"g t\",\"le ss\",\"math tt\",\"big sqcup\",\"thick sim\",\"less sim\",\"b ow\",\"l lde\",\"ti e\",\"nu llde\",\"mit er\",\"li miter\",\"ker n\",\"bow tie\",\"nullde limiter\",\"nulldelimiter space\",\"D a\",\"h phantom\",\"r o\",\"v Da\",\"bar wedge\",\"be th\",\"eq no\",\"vDa sh\",\"A R\",\"D i\",\"G E\",\"L AR\",\"d skip\",\"t s\",\"Ġ @\",\"me dskip\",\"nd own\",\"ge ts\",\"co prod\",\"dots m\",\"sma sh\",\"rightharpoo ndown\",\"Di amond\",\"LAR GE\",\"n rightarrow\",\"n leftrightarrow\",\"r sim\",\"r ne\",\"w arrow\",\"math c\",\"co rne\",\"text normal\",\"prec eq\",\"gt rsim\",\"ro up\",\"corne r\",\"Ġ\\\\ [\",\"Ġ\\\\ ]\",\"math ope\",\"left eq\",\"lo se\",\"var kappa\",\"Big m\",\"Bigg m\",\"mathc lose\",\"mathope n\",\"lefteq n\",\"B ar\",\"T i\",\"l r\",\"s warrow\",\"u ge\",\"v ru\",\"x leftarrow\",\"math normal\",\"right rightarrow\",\"right leftarrow\",\"sq subseteq\",\"succ eq\",\"Ti lde\",\"lr corner\",\"vru le\",\"rightrightarrow s\",\"rightleftarrow s\",\"A A\",\"H at\",\"a k\",\"b le\",\"d ou\",\"h ss\",\"m in\",\"n right\",\"n leftarrow\",\"u ph\",\"w bre\",\"al lo\",\"si de\",\"sq cap\",\"ho m\",\"big odot\",\"arpoo nright\",\"ble barwedge\",\"dou blebarwedge\",\"uph arpoonright\",\"wbre ak\",\"allo wbreak\",\"side set\",\"- -\",\"H uge\",\"a mal\",\"d o\",\"f box\",\"g roup\",\"h skip\",\"l se\",\"p prox\",\"r k\",\"r group\",\"ra pprox\",\"Ġi n\",\"array co\",\"su re\",\"var lim\",\"pm b\",\"ci te\",\"sub stack\",\"leftrightarrow s\",\"supset neq\",\"Lo ngleftarrow\",\"up downarrow\",\"en sure\",\"lg roup\",\"gt rapprox\",\"amal g\",\"lse p\",\"arrayco lsep\",\"ensure math\",\"a sym\",\"c h\",\"d ig\",\"d dag\",\"e w\",\"g ra\",\"g ime\",\"j o\",\"l times\",\"n leq\",\"t ch\",\"fra me\",\"ma x\",\"th de\",\"in rel\",\"ve r\",\"wi thde\",\"oint op\",\"no tag\",\"small int\",\"sk ew\",\"lim s\",\"asym p\",\"dig amma\",\"gra ve\",\"gime l\",\"jo inrel\",\"frame box\",\"withde lims\",\"A r\",\"R rightarrow\",\"a e\",\"a g\",\"f ill\",\"h space\",\"h uge\",\"l q\",\"n warrow\",\"w line\",\"Ġ1 4\",\"ma rk\",\"le d\",\"in f\",\"in de\",\"Ġe x\",\"pi tch\",\"dot si\",\"int op\",\"row vert\",\"ll corner\",\"bla ck\",\"leq q\",\"bigg m\",\"approx eq\",\"di ag\",\"text sc\",\"text sl\",\"circ led\",\"fo rk\",\"cu r\",\"ne wline\",\"neg thick\",\"atop withdelims\",\"Le ftarrow\",\"footnote mark\",\"up lus\",\"subsetneq q\",\"-- -\",\"varlim sup\",\"varlim inf\",\"ver b\",\"Ar rowvert\",\"pitch fork\",\"black square\",\"diag up\",\"negthick space\",\"2 3\",\"2 5\",\"\\\\ -\",\"\\\\ /\",\"a pe\",\"c kap\",\"d ddot\",\"e rline\",\"e ver\",\"i j\",\"i ce\",\"l y\",\"m d\",\"n da\",\"n nu\",\"n mid\",\"n Rightarrow\",\"n Vdash\",\"o f\",\"o ff\",\"s ho\",\"s pe\",\"w r\",\"y math\",\"Ġ #\",\"Ġ\\\\ '\",\"Ġ\\\\ ^\",\"Ġ1 0\",\"Ġ1 5\",\"ma nnu\",\"ig arrow\",\"ft er\",\"me ral\",\"left rightharpoo\",\"right squ\",\"de f\",\"array st\",\"rt mid\",\"int erline\",\"ve arrow\",\"ng eq\",\"ho ice\",\"la x\",\"var Gamma\",\"var propto\",\"var triangle\",\"var Upsilon\",\"big uplus\",\"ex pa\",\"Ġ< $\",\"mathb in\",\"per ca\",\"text circled\",\"text md\",\"sc sh\",\"ci al\",\"re tch\",\"re lax\",\"over withdelims\",\"no inde\",\"own s\",\"vee bar\",\"under bar\",\"under rightarrow\",\"up perca\",\"back simeq\",\"triangleleft eq\",\"box times\",\"box ed\",\"prec cur\",\"thi ckap\",\"ro ot\",\"ro mannu\",\"mathc hoice\",\"inde x\",\"circled circ\",\"cur vearrow\",\"ever ymath\",\"ly eq\",\"nda fter\",\"off interline\",\"sho rtmid\",\"spe cial\",\"leftrightharpoo ns\",\"rightsqu igarrow\",\"arrayst retch\",\"expa ndafter\",\"scsh ape\",\"noinde nt\",\"upperca se\",\"preccur lyeq\",\"thickap prox\",\"romannu meral\",\"curvearrow right\",\"offinterline skip\"]}}"
},
{
"path": "pix2tex/model/settings/config-vit.yaml",
"content": "gpu_devices: null #[0,1,2,3,4,5,6,7]\nbetas:\n- 0.9\n- 0.999\nbatchsize: 64\nbos_token: 1\nchannels: 1\ndata: dataset/data/train.pkl\ndebug: false\ndecoder_args:\n attn_on_attn: true\n cross_attend: true\n ff_glu: true\n rel_pos_bias: false\n use_scalenorm: false\ndim: 256\nemb_dropout: 0\nencoder_depth: 4\neos_token: 2\nepochs: 10\ngamma: 0.9995\nheads: 8\nid: null\nload_chkpt: null\nlr: 0.0005\nlr_step: 30\nmax_height: 192\nmax_seq_len: 512\nmax_width: 672\nmin_height: 32\nmin_width: 32\nmicro_batchsize: -1\nmodel_path: checkpoints_add\nname: pix2tex-vit\nnum_layers: 4\nnum_tokens: 8000\noptimizer: Adam\noutput_path: outputs\npad: false\npad_token: 0\npatch_size: 16\nsample_freq: 1000\nsave_freq: 5\nscheduler: StepLR\nseed: 42\nencoder_structure: vit\ntemperature: 0.2\ntest_samples: 5\ntestbatchsize: 20\ntokenizer: dataset/tokenizer.json\nvalbatches: 100\nvaldata: dataset/data/val.pkl"
},
{
"path": "pix2tex/model/settings/config.yaml",
"content": "gpu_devices: null #[0,1,2,3,4,5,6,7]\nbackbone_layers:\n- 2\n- 3\n- 7\nbetas:\n- 0.9\n- 0.999\nbatchsize: 64\nbos_token: 1\nchannels: 1\ndata: dataset/data/train.pkl\ndebug: false\ndecoder_args:\n attn_on_attn: true\n cross_attend: true\n ff_glu: true\n rel_pos_bias: false\n use_scalenorm: false\ndim: 256\nencoder_depth: 4\neos_token: 2\nepochs: 10\ngamma: 0.9995\nheads: 8\nid: null\nload_chkpt: null\nlr: 0.001\nlr_step: 30\nmax_height: 192\nmax_seq_len: 512\nmax_width: 672\nmicro_batchsize: -1\nmin_height: 32\nmin_width: 32\nmodel_path: checkpoints\nname: pix2tex\nnum_layers: 4\nnum_tokens: 8000\noptimizer: Adam\noutput_path: outputs\npad: false\npad_token: 0\npatch_size: 16\nsample_freq: 3000\nsave_freq: 5\nscheduler: StepLR\nseed: 42\nencoder_structure: hybrid\ntemperature: 0.2\ntest_samples: 5\ntestbatchsize: 20\ntokenizer: dataset/tokenizer.json\nvalbatches: 100\nvaldata: dataset/data/val.pkl\n"
},
{
"path": "pix2tex/model/settings/debug.yaml",
"content": "# Input/Output/Name\ndata: \"dataset/data/dataset.pkl\"\nvaldata: \"dataset/data/val.pkl\"\ntokenizer: \"dataset/tokenizer.json\"\noutput_path: \"outputs\"\nmodel_path: \"checkpoints\"\nload_chkpt: null\nsave_freq: 5 # save every nth epoch\nname: \"pix2tex\"\n\n# Training parameters\nepochs: 10\nbatchsize: 8\n\n# Testing parameters\ntestbatchsize: 20\nvalbatches: 100\ntemperature: 0.2\n\n# Optimizer configurations\noptimizer: \"Adam\"\nscheduler: \"StepLR\"\nlr: 0.001\ngamma: 0.9995\nlr_step: 30\nbetas:\n- 0.9\n- 0.999\n\n# Parameters for model architectures\nmax_width: 128\nmax_height: 128\nmin_width: 32\nmin_height: 32\nchannels: 1\npatch_size: 32\n# Encoder / Decoder\ndim: 128\nbackbone_layers: \n - 3\n - 4\n - 9\nencoder_depth: 4\nnum_layers: 4\ndecoder_args: \n cross_attend: true\n ff_glu: true\n attn_on_attn: false\n use_scalenorm: true\n rel_pos_bias: false\nheads: 8\nnum_tokens: 8000\nmax_seq_len: 1024\nencoder_structure: hybrid\n\n# Other\nseed: 42\nid: null\nsample_freq: 50\ntest_samples: 5\ndebug: True\npad: False\n\n# Token ids\npad_token: 0\nbos_token: 1\neos_token: 2\n"
},
{
"path": "pix2tex/models/__init__.py",
"content": "from .utils import *"
},
{
"path": "pix2tex/models/hybrid.py",
"content": "import torch\nimport torch.nn as nn\n\nfrom timm.models.vision_transformer import VisionTransformer\nfrom timm.models.vision_transformer_hybrid import HybridEmbed\nfrom timm.models.resnetv2 import ResNetV2\nfrom timm.models.layers import StdConv2dSame\nfrom einops import repeat\n\nclass CustomVisionTransformer(VisionTransformer):\n def __init__(self, img_size=224, patch_size=16, *args, **kwargs):\n super(CustomVisionTransformer, self).__init__(img_size=img_size, patch_size=patch_size, *args, **kwargs)\n self.height, self.width = img_size\n self.patch_size = patch_size\n\n def forward_features(self, x):\n B, c, h, w = x.shape\n x = self.patch_embed(x)\n\n cls_tokens = self.cls_token.expand(B, -1, -1) # stole cls_tokens impl from Phil Wang, thanks\n x = torch.cat((cls_tokens, x), dim=1)\n h, w = h//self.patch_size, w//self.patch_size\n pos_emb_ind = repeat(torch.arange(h)*(self.width//self.patch_size-w), 'h -> (h w)', w=w)+torch.arange(h*w)\n pos_emb_ind = torch.cat((torch.zeros(1), pos_emb_ind+1), dim=0).long()\n x += self.pos_embed[:, pos_emb_ind]\n #x = x + self.pos_embed\n x = self.pos_drop(x)\n\n for blk in self.blocks:\n x = blk(x)\n\n x = self.norm(x)\n return x\n\n\ndef get_encoder(args):\n backbone = ResNetV2(\n layers=args.backbone_layers, num_classes=0, global_pool='', in_chans=args.channels,\n preact=False, stem_type='same', conv_layer=StdConv2dSame)\n min_patch_size = 2**(len(args.backbone_layers)+1)\n\n def embed_layer(**x):\n ps = x.pop('patch_size', min_patch_size)\n assert ps % min_patch_size == 0 and ps >= min_patch_size, 'patch_size needs to be multiple of %i with current backbone configuration' % min_patch_size\n return HybridEmbed(**x, patch_size=ps//min_patch_size, backbone=backbone)\n\n encoder = CustomVisionTransformer(img_size=(args.max_height, args.max_width),\n patch_size=args.patch_size,\n in_chans=args.channels,\n num_classes=0,\n embed_dim=args.dim,\n depth=args.encoder_depth,\n num_heads=args.heads,\n embed_layer=embed_layer\n )\n return encoder"
},
{
"path": "pix2tex/models/transformer.py",
"content": "import torch\nimport torch.nn.functional as F\nfrom x_transformers.autoregressive_wrapper import AutoregressiveWrapper, top_k, top_p\nfrom x_transformers import TransformerWrapper, Decoder\n\n\nclass CustomARWrapper(AutoregressiveWrapper):\n def __init__(self, *args, **kwargs):\n super(CustomARWrapper, self).__init__(*args, **kwargs)\n\n @torch.no_grad()\n def generate(self, start_tokens, seq_len=256, eos_token=None, temperature=1., filter_logits_fn=top_k, filter_thres=0.9, **kwargs):\n device = start_tokens.device\n was_training = self.net.training\n num_dims = len(start_tokens.shape)\n\n if num_dims == 1:\n start_tokens = start_tokens[None, :]\n\n b, t = start_tokens.shape\n\n self.net.eval()\n out = start_tokens\n mask = kwargs.pop('mask', None)\n if mask is None:\n mask = torch.full_like(out, True, dtype=torch.bool, device=out.device)\n\n for _ in range(seq_len):\n x = out[:, -self.max_seq_len:]\n mask = mask[:, -self.max_seq_len:]\n # print('arw:',out.shape)\n logits = self.net(x, mask=mask, **kwargs)[:, -1, :]\n\n if filter_logits_fn in {top_k, top_p}:\n filtered_logits = filter_logits_fn(logits, thres=filter_thres)\n probs = F.softmax(filtered_logits / temperature, dim=-1)\n\n sample = torch.multinomial(probs, 1)\n\n out = torch.cat((out, sample), dim=-1)\n mask = F.pad(mask, (0, 1), value=True)\n\n if eos_token is not None and (torch.cumsum(out == eos_token, 1)[:, -1] >= 1).all():\n break\n\n out = out[:, t:]\n\n if num_dims == 1:\n out = out.squeeze(0)\n\n self.net.train(was_training)\n return out\n\n\ndef get_decoder(args):\n return CustomARWrapper(\n TransformerWrapper(\n num_tokens=args.num_tokens,\n max_seq_len=args.max_seq_len,\n attn_layers=Decoder(\n dim=args.dim,\n depth=args.num_layers,\n heads=args.heads,\n **args.decoder_args\n )),\n pad_value=args.pad_token)\n"
},
{
"path": "pix2tex/models/utils.py",
"content": "import torch\nimport torch.nn as nn\n\nfrom . import hybrid\nfrom . import vit\nfrom . import transformer\n\n\nclass Model(nn.Module):\n def __init__(self, encoder, decoder, args):\n super().__init__()\n self.encoder = encoder\n self.decoder = decoder\n self.args = args\n\n def data_parallel(self, x: torch.Tensor, device_ids, output_device=None, **kwargs):\n if not device_ids or len(device_ids) == 1:\n return self(x, **kwargs)\n if output_device is None:\n output_device = device_ids[0]\n replicas = nn.parallel.replicate(self, device_ids)\n inputs = nn.parallel.scatter(x, device_ids) # Slices tensors into approximately equal chunks and distributes them across given GPUs.\n kwargs = nn.parallel.scatter(kwargs, device_ids) # Duplicates references to objects that are not tensors.\n replicas = replicas[:len(inputs)]\n kwargs = kwargs[:len(inputs)]\n outputs = nn.parallel.parallel_apply(replicas, inputs, kwargs)\n return nn.parallel.gather(outputs, output_device).mean()\n\n def forward(self, x: torch.Tensor, tgt_seq: torch.Tensor, **kwargs):\n encoded = self.encoder(x)\n out = self.decoder(tgt_seq, context=encoded, **kwargs)\n return out\n\n @torch.no_grad()\n def generate(self, x: torch.Tensor, temperature: float = 0.25):\n return self.decoder.generate((torch.LongTensor([self.args.bos_token]*len(x))[:, None]).to(x.device), self.args.max_seq_len,\n eos_token=self.args.eos_token, context=self.encoder(x), temperature=temperature)\n\n\ndef get_model(args):\n if args.encoder_structure.lower() == 'vit':\n encoder = vit.get_encoder(args)\n elif args.encoder_structure.lower() == 'hybrid':\n encoder = hybrid.get_encoder(args)\n else:\n raise NotImplementedError('Encoder structure \"%s\" not supported.' % args.encoder_structure)\n decoder = transformer.get_decoder(args)\n encoder.to(args.device)\n decoder.to(args.device)\n model = Model(encoder, decoder, args)\n if args.wandb:\n import wandb\n wandb.watch(model)\n\n return model\n"
},
{
"path": "pix2tex/models/vit.py",
"content": "import torch\nimport torch.nn as nn\n\nfrom x_transformers import Encoder\nfrom einops import rearrange, repeat\n\n\nclass ViTransformerWrapper(nn.Module):\n def __init__(\n self,\n *,\n max_width,\n max_height,\n patch_size,\n attn_layers,\n channels=1,\n num_classes=None,\n dropout=0.,\n emb_dropout=0.\n ):\n super().__init__()\n assert isinstance(attn_layers, Encoder), 'attention layers must be an Encoder'\n assert max_width % patch_size == 0 and max_height % patch_size == 0, 'image dimensions must be divisible by the patch size'\n dim = attn_layers.dim\n num_patches = (max_width // patch_size)*(max_height // patch_size)\n patch_dim = channels * patch_size ** 2\n\n self.patch_size = patch_size\n self.max_width = max_width\n self.max_height = max_height\n\n self.pos_embedding = nn.Parameter(torch.randn(1, num_patches + 1, dim))\n self.patch_to_embedding = nn.Linear(patch_dim, dim)\n self.cls_token = nn.Parameter(torch.randn(1, 1, dim))\n self.dropout = nn.Dropout(emb_dropout)\n\n self.attn_layers = attn_layers\n self.norm = nn.LayerNorm(dim)\n #self.mlp_head = FeedForward(dim, dim_out = num_classes, dropout = dropout) if exists(num_classes) else None\n\n def forward(self, img, **kwargs):\n p = self.patch_size\n\n x = rearrange(img, 'b c (h p1) (w p2) -> b (h w) (p1 p2 c)', p1=p, p2=p)\n x = self.patch_to_embedding(x)\n b, n, _ = x.shape\n\n cls_tokens = repeat(self.cls_token, '() n d -> b n d', b=b)\n x = torch.cat((cls_tokens, x), dim=1)\n h, w = torch.tensor(img.shape[2:])//p\n pos_emb_ind = repeat(torch.arange(h)*(self.max_width//p-w), 'h -> (h w)', w=w)+torch.arange(h*w)\n pos_emb_ind = torch.cat((torch.zeros(1), pos_emb_ind+1), dim=0).long()\n x += self.pos_embedding[:, pos_emb_ind]\n x = self.dropout(x)\n\n x = self.attn_layers(x, **kwargs)\n x = self.norm(x)\n\n return x\n\n\ndef get_encoder(args):\n return ViTransformerWrapper(\n max_width=args.max_width,\n max_height=args.max_height,\n channels=args.channels,\n patch_size=args.patch_size,\n emb_dropout=args.get('emb_dropout', 0),\n attn_layers=Encoder(\n dim=args.dim,\n depth=args.encoder_depth,\n heads=args.heads,\n )\n )\n"
},
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Date).getTime(),dblTap=now-TOUCH.lastMh&&(zoom.style.height=Mh+\"px\",zoom.style.width=bbox.zW+this.scrollSize+\"px\"),zoom.offsetWidth>Mw&&(zoom.style.width=Mw+\"px\",zoom.style.height=bbox.zH+this.scrollSize+\"px\")),this.operaPositionBug&&(zoom.style.width=Math.min(Mw,bbox.zW)+\"px\"),zoom.offsetWidth>eW&&zoom.offsetWidth-eW=9;ZOOM.msiePositionBug=!isIE9,ZOOM.msieSizeBug=browser.versionAtLeast(\"7.0\")&&(!document.documentMode||7===mode||8===mode),ZOOM.msieZIndexBug=mode<=7,ZOOM.msieInlineBlockAlignBug=mode<=7,ZOOM.msieTrapEventBug=!window.addEventListener,\"BackCompat\"===document.compatMode&&(ZOOM.scrollSize=52),isIE9&&delete CONFIG.styles[\"#MathJax_Zoom\"].filter},Opera:function(browser){ZOOM.operaPositionBug=!0,ZOOM.operaRefreshBug=!0}}),ZOOM.topImg=ZOOM.msieInlineBlockAlignBug?HTML.Element(\"img\",{style:{width:0,height:0,position:\"relative\"},src:\"about:blank\"}):HTML.Element(\"span\",{style:{width:0,height:0,display:\"inline-block\"}}),(ZOOM.operaPositionBug||ZOOM.msieTopBug)&&(ZOOM.topImg.style.border=\"1px solid\"),MathJax.Callback.Queue([\"StartupHook\",MathJax.Hub.Register,\"Begin Styles\",{}],[\"Styles\",AJAX,CONFIG.styles],[\"Post\",HUB.Startup.signal,\"MathZoom Ready\"],[\"loadComplete\",AJAX,\"[MathJax]/extensions/MathZoom.js\"])}(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.OutputJax[\"HTML-CSS\"],MathJax.OutputJax.NativeMML),function(HUB,HTML,AJAX,CALLBACK,OUTPUT){var VERSION=\"2.7.5\",SIGNAL=MathJax.Callback.Signal(\"menu\");MathJax.Extension.MathMenu={version:\"2.7.5\",signal:SIGNAL};var _=function(id){return MathJax.Localization._.apply(MathJax.Localization,[[\"MathMenu\",id]].concat([].slice.call(arguments,1)))},isArray=MathJax.Object.isArray,isPC=HUB.Browser.isPC,isMSIE=HUB.Browser.isMSIE,isIE9=(document.documentMode||0)>8,ROUND=isPC?null:\"5px\",CONFIG=HUB.CombineConfig(\"MathMenu\",{delay:150,showRenderer:!0,showMathPlayer:!0,showFontMenu:!1,showContext:!1,showDiscoverable:!1,showLocale:!0,showLocaleURL:!1,semanticsAnnotations:{TeX:[\"TeX\",\"LaTeX\",\"application/x-tex\"],StarMath:[\"StarMath 5.0\"],Maple:[\"Maple\"],ContentMathML:[\"MathML-Content\",\"application/mathml-content+xml\"],OpenMath:[\"OpenMath\"]},windowSettings:{status:\"no\",toolbar:\"no\",locationbar:\"no\",menubar:\"no\",directories:\"no\",personalbar:\"no\",resizable:\"yes\",scrollbars:\"yes\",width:400,height:300,left:Math.round((screen.width-400)/2),top:Math.round((screen.height-300)/3)},styles:{\"#MathJax_About\":{position:\"fixed\",left:\"50%\",width:\"auto\",\"text-align\":\"center\",border:\"3px outset\",padding:\"1em 2em\",\"background-color\":\"#DDDDDD\",color:\"black\",cursor:\"default\",\"font-family\":\"message-box\",\"font-size\":\"120%\",\"font-style\":\"normal\",\"text-indent\":0,\"text-transform\":\"none\",\"line-height\":\"normal\",\"letter-spacing\":\"normal\",\"word-spacing\":\"normal\",\"word-wrap\":\"normal\",\"white-space\":\"nowrap\",float:\"none\",\"z-index\":201,\"border-radius\":\"15px\",\"-webkit-border-radius\":\"15px\",\"-moz-border-radius\":\"15px\",\"-khtml-border-radius\":\"15px\",\"box-shadow\":\"0px 10px 20px #808080\",\"-webkit-box-shadow\":\"0px 10px 20px #808080\",\"-moz-box-shadow\":\"0px 10px 20px #808080\",\"-khtml-box-shadow\":\"0px 10px 20px #808080\",filter:\"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')\"},\"#MathJax_About.MathJax_MousePost\":{outline:\"none\"},\".MathJax_Menu\":{position:\"absolute\",\"background-color\":\"white\",color:\"black\",width:\"auto\",padding:isPC?\"2px\":\"5px 0px\",border:\"1px solid #CCCCCC\",margin:0,cursor:\"default\",font:\"menu\",\"text-align\":\"left\",\"text-indent\":0,\"text-transform\":\"none\",\"line-height\":\"normal\",\"letter-spacing\":\"normal\",\"word-spacing\":\"normal\",\"word-wrap\":\"normal\",\"white-space\":\"nowrap\",float:\"none\",\"z-index\":201,\"border-radius\":ROUND,\"-webkit-border-radius\":ROUND,\"-moz-border-radius\":ROUND,\"-khtml-border-radius\":ROUND,\"box-shadow\":\"0px 10px 20px #808080\",\"-webkit-box-shadow\":\"0px 10px 20px #808080\",\"-moz-box-shadow\":\"0px 10px 20px #808080\",\"-khtml-box-shadow\":\"0px 10px 20px #808080\",filter:\"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')\"},\".MathJax_MenuItem\":{padding:isPC?\"2px 2em\":\"1px 2em\",background:\"transparent\"},\".MathJax_MenuArrow\":{position:\"absolute\",right:\".5em\",\"padding-top\":\".25em\",color:\"#666666\",\"font-family\":isMSIE?\"'Arial unicode MS'\":null,\"font-size\":\".75em\"},\".MathJax_MenuActive .MathJax_MenuArrow\":{color:\"white\"},\".MathJax_MenuArrow.RTL\":{left:\".5em\",right:\"auto\"},\".MathJax_MenuCheck\":{position:\"absolute\",left:\".7em\",\"font-family\":isMSIE?\"'Arial unicode MS'\":null},\".MathJax_MenuCheck.RTL\":{right:\".7em\",left:\"auto\"},\".MathJax_MenuRadioCheck\":{position:\"absolute\",left:isPC?\"1em\":\".7em\"},\".MathJax_MenuRadioCheck.RTL\":{right:isPC?\"1em\":\".7em\",left:\"auto\"},\".MathJax_MenuLabel\":{padding:isPC?\"2px 2em 4px 1.33em\":\"1px 2em 3px 1.33em\",\"font-style\":\"italic\"},\".MathJax_MenuRule\":{\"border-top\":isPC?\"1px solid #CCCCCC\":\"1px solid #DDDDDD\",margin:isPC?\"4px 1px 0px\":\"4px 3px\"},\".MathJax_MenuDisabled\":{color:\"GrayText\"},\".MathJax_MenuActive\":{\"background-color\":isPC?\"Highlight\":\"#606872\",color:isPC?\"HighlightText\":\"white\"},\".MathJax_MenuDisabled:focus, .MathJax_MenuLabel:focus\":{\"background-color\":\"#E8E8E8\"},\".MathJax_ContextMenu:focus\":{outline:\"none\"},\".MathJax_ContextMenu .MathJax_MenuItem:focus\":{outline:\"none\"},\"#MathJax_AboutClose\":{top:\".2em\",right:\".2em\"},\".MathJax_Menu .MathJax_MenuClose\":{top:\"-10px\",left:\"-10px\"},\".MathJax_MenuClose\":{position:\"absolute\",cursor:\"pointer\",display:\"inline-block\",border:\"2px solid #AAA\",\"border-radius\":\"18px\",\"-webkit-border-radius\":\"18px\",\"-moz-border-radius\":\"18px\",\"-khtml-border-radius\":\"18px\",\"font-family\":\"'Courier New',Courier\",\"font-size\":\"24px\",color:\"#F0F0F0\"},\".MathJax_MenuClose span\":{display:\"block\",\"background-color\":\"#AAA\",border:\"1.5px solid\",\"border-radius\":\"18px\",\"-webkit-border-radius\":\"18px\",\"-moz-border-radius\":\"18px\",\"-khtml-border-radius\":\"18px\",\"line-height\":0,padding:\"8px 0 6px\"},\".MathJax_MenuClose:hover\":{color:\"white!important\",border:\"2px solid #CCC!important\"},\".MathJax_MenuClose:hover span\":{\"background-color\":\"#CCC!important\"},\".MathJax_MenuClose:hover:focus\":{outline:\"none\"}}}),FALSE,HOVER,KEY;HUB.Register.StartupHook(\"MathEvents Ready\",(function(){FALSE=MathJax.Extension.MathEvents.Event.False,HOVER=MathJax.Extension.MathEvents.Hover,KEY=MathJax.Extension.MathEvents.Event.KEY}));var NAV=MathJax.Object.Subclass({Keydown:function(event,menu){switch(event.keyCode){case KEY.ESCAPE:this.Remove(event,menu);break;case KEY.RIGHT:this.Right(event,menu);break;case KEY.LEFT:this.Left(event,menu);break;case KEY.UP:this.Up(event,menu);break;case KEY.DOWN:this.Down(event,menu);break;case KEY.RETURN:case KEY.SPACE:this.Space(event,menu);break;default:return}return FALSE(event)},Escape:function(event,menu){},Right:function(event,menu){},Left:function(event,menu){},Up:function(event,menu){},Down:function(event,menu){},Space:function(event,menu){}},{}),MENU=MathJax.Menu=NAV.Subclass({version:\"2.7.5\",items:[],posted:!1,title:null,margin:5,Init:function(def){this.items=[].slice.call(arguments,0)},With:function(def){return def&&HUB.Insert(this,def),this},Post:function(event,parent,forceLTR){event||(event=window.event||{});var div=document.getElementById(\"MathJax_MenuFrame\");div||(div=MENU.Background(this),delete ITEM.lastItem,delete ITEM.lastMenu,delete MENU.skipUp,SIGNAL.Post([\"post\",MENU.jax]),MENU.isRTL=\"rtl\"===MathJax.Localization.fontDirection());var menu=HTML.Element(\"div\",{onmouseup:MENU.Mouseup,ondblclick:FALSE,ondragstart:FALSE,onselectstart:FALSE,oncontextmenu:FALSE,menuItem:this,className:\"MathJax_Menu\",onkeydown:MENU.Keydown,role:\"menu\"});\"contextmenu\"!==event.type&&\"mouseover\"!==event.type||(menu.className+=\" MathJax_ContextMenu\"),forceLTR||MathJax.Localization.setCSS(menu);for(var i=0,m=this.items.length;ithis.margin||!MENU.isRTL&&x+menu.offsetWidth>bodyRight-this.margin)&&(side=\"right\",x=Math.max(this.margin,x-mw-menu.offsetWidth+6)),isPC||(menu.style[\"borderRadiusTop\"+side]=0,menu.style[\"WebkitBorderRadiusTop\"+side]=0,menu.style[\"MozBorderRadiusTop\"+side]=0,menu.style[\"KhtmlBorderRadiusTop\"+side]=0)}else{var node=MENU.CurrentNode()||event.target;if((\"keydown\"===event.type||!x&&!y)&&node){var offsetX=window.pageXOffset||document.documentElement.scrollLeft,offsetY=window.pageYOffset||document.documentElement.scrollTop,rect=node.getBoundingClientRect();x=(rect.right+rect.left)/2+offsetX,y=(rect.bottom+rect.top)/2+offsetY}x+menu.offsetWidth>bodyRight-this.margin&&(x=bodyRight-menu.offsetWidth-this.margin),MENU.isMobile&&(x=Math.max(5,x-Math.floor(menu.offsetWidth/2)),y-=20),MENU.skipUp=event.isContextMenu}menu.style.left=x+\"px\",menu.style.top=y+\"px\",document.selection&&document.selection.empty&&document.selection.empty();var oldX=window.pageXOffset||document.documentElement.scrollLeft,oldY=window.pageYOffset||document.documentElement.scrollTop;return MENU.Focus(menu),\"keydown\"===event.type&&(MENU.skipMouseoverFromKey=!0,setTimeout((function(){delete MENU.skipMouseoverFromKey}),CONFIG.delay)),window.scrollTo(oldX,oldY),FALSE(event)},Remove:function(event,menu){SIGNAL.Post([\"unpost\",MENU.jax]);var div=document.getElementById(\"MathJax_MenuFrame\");return div&&(div.parentNode.removeChild(div),this.msieFixedPositionBug&&detachEvent(\"onresize\",MENU.Resize)),MENU.jax.hover&&(delete MENU.jax.hover.nofade,HOVER.UnHover(MENU.jax)),MENU.Unfocus(menu),\"mousedown\"===event.type&&MENU.CurrentNode().blur(),FALSE(event)},Find:function(name){return this.FindN(1,name,[].slice.call(arguments,1))},FindId:function(name){return this.FindN(0,name,[].slice.call(arguments,1))},FindN:function(n,name,names){for(var i=0,m=this.items.length;i0&&(jax.oldTabIndex=jax.tabIndex),jax.tabIndex=-1},SetTabIndex:function(){for(var jaxs=MENU.AllNodes(),j=0,jax;jax=jaxs[j];j++)void 0!==jax.oldTabIndex?(jax.tabIndex=jax.oldTabIndex,delete jax.oldTabIndex):jax.tabIndex=HUB.getTabOrder(jax)},Mod:function(a,n){return(a%n+n)%n},IndexOf:Array.prototype.indexOf?function(A,item,start){return A.indexOf(item,start)}:function(A,item,start){for(var i=start||0,j=A.length;i=0&&ITEM.GetMenuNode(menu).menuItem!==menus[m].menuItem;)menus[m].menuItem.posted=!1,menus[m].parentNode.removeChild(menus[m]),m--},Touchstart:function(event,menu){return this.TouchEvent(event,menu,\"Mousedown\")},Touchend:function(event,menu){return this.TouchEvent(event,menu,\"Mouseup\")},TouchEvent:function(event,menu,type){return this!==ITEM.lastItem&&(ITEM.lastMenu&&MENU.Event(event,ITEM.lastMenu,\"Mouseout\"),MENU.Event(event,menu,\"Mouseover\",!0),ITEM.lastItem=this,ITEM.lastMenu=menu),this.nativeTouch?null:(MENU.Event(event,menu,type),!1)},Remove:function(event,menu){return(menu=menu.parentNode.menuItem).Remove(event,menu)},With:function(def){return def&&HUB.Insert(this,def),this},isRTL:function(){return MENU.isRTL},rtlClass:function(){return this.isRTL()?\" RTL\":\"\"}},{GetMenuNode:function(item){return item.parentNode}});MENU.ENTRY=MENU.ITEM.Subclass({role:\"menuitem\",Attributes:function(def){return def=HUB.Insert({onmouseover:MENU.Mouseover,onmouseout:MENU.Mouseout,onmousedown:MENU.Mousedown,onkeydown:MENU.Keydown,\"aria-disabled\":!!this.disabled},def),def=this.SUPER(arguments).Attributes.call(this,def),this.disabled&&(def.className+=\" MathJax_MenuDisabled\"),def},MoveVertical:function(event,item,move){for(var menuNode=ITEM.GetMenuNode(item),items=[],i=0,allItems=menuNode.menuItem.items,it;it=allItems[i];i++)it.hidden||items.push(it);var index=MENU.IndexOf(items,this);if(-1!==index){var len=items.length,children=menuNode.childNodes;do{index=MENU.Mod(move(index),len)}while(items[index].hidden||!children[index].role||\"separator\"===children[index].role);this.Deactivate(item),items[index].Activate(event,children[index])}},Up:function(event,item){this.MoveVertical(event,item,(function(x){return x-1}))},Down:function(event,item){this.MoveVertical(event,item,(function(x){return x+1}))},Right:function(event,item){this.MoveHorizontal(event,item,MENU.Right,!this.isRTL())},Left:function(event,item){this.MoveHorizontal(event,item,MENU.Left,this.isRTL())},MoveHorizontal:function(event,item,move,rtl){var menuNode=ITEM.GetMenuNode(item);if(menuNode.menuItem===MENU.menu&&event.shiftKey&&move(event,item),!rtl){menuNode.menuItem!==MENU.menu&&this.Deactivate(item);for(var parentNodes=menuNode.previousSibling.childNodes,length=parentNodes.length;length--;){var parent=parentNodes[length];if(parent.menuItem.submenu&&parent.menuItem.submenu===menuNode.menuItem){MENU.Focus(parent);break}}this.RemoveSubmenus(item)}},Space:function(event,menu){this.Mouseup(event,menu)},Activate:function(event,menu){this.Deactivate(menu),this.disabled||(menu.className+=\" MathJax_MenuActive\"),this.DeactivateSubmenus(menu),MENU.Focus(menu)},Deactivate:function(menu){menu.className=menu.className.replace(/ MathJax_MenuActive/,\"\")}}),MENU.ITEM.COMMAND=MENU.ENTRY.Subclass({action:function(){},Init:function(name,action,def){isArray(name)||(name=[name,name]),this.name=name,this.action=action,this.With(def)},Label:function(def,menu){return[this.Name()]},Mouseup:function(event,menu){return this.disabled||(this.Remove(event,menu),SIGNAL.Post([\"command\",this]),this.action.call(this,event)),FALSE(event)}}),MENU.ITEM.SUBMENU=MENU.ENTRY.Subclass({submenu:null,marker:\"►\",markerRTL:\"◄\",Attributes:function(def){return def=HUB.Insert({\"aria-haspopup\":\"true\"},def),def=this.SUPER(arguments).Attributes.call(this,def)},Init:function(name,def){isArray(name)||(name=[name,name]),this.name=name;var i=1;def instanceof MENU.ITEM||(this.With(def),i++),this.submenu=MENU.apply(MENU,[].slice.call(arguments,i))},Label:function(def,menu){return this.submenu.posted=!1,[this.Name()+\" \",[\"span\",{className:\"MathJax_MenuArrow\"+this.rtlClass()},[this.isRTL()?this.markerRTL:this.marker]]]},Timer:function(event,menu){this.ClearTimer(),event={type:event.type,clientX:event.clientX,clientY:event.clientY},this.timer=setTimeout(CALLBACK([\"Mouseup\",this,event,menu]),CONFIG.delay)},ClearTimer:function(){this.timer&&clearTimeout(this.timer)},Touchend:function(event,menu){var forceout=this.submenu.posted,result=this.SUPER(arguments).Touchend.apply(this,arguments);return forceout&&(this.Deactivate(menu),delete ITEM.lastItem,delete ITEM.lastMenu),result},Mouseout:function(event,menu){this.submenu.posted||this.Deactivate(menu),this.ClearTimer()},Mouseover:function(event,menu){this.Activate(event,menu)},Mouseup:function(event,menu){return this.disabled||(this.submenu.posted?this.DeactivateSubmenus(menu):(this.ClearTimer(),this.submenu.Post(event,menu,this.ltr),MENU.Focus(menu))),FALSE(event)},Activate:function(event,menu){this.disabled||(this.Deactivate(menu),menu.className+=\" MathJax_MenuActive\"),this.submenu.posted||(this.DeactivateSubmenus(menu),MENU.isMobile||this.Timer(event,menu)),MENU.Focus(menu)},MoveVertical:function(event,item,move){this.ClearTimer(),this.SUPER(arguments).MoveVertical.apply(this,arguments)},MoveHorizontal:function(event,menu,move,rtl){if(rtl){if(!this.disabled)if(this.submenu.posted){var submenuNodes=ITEM.GetMenuNode(menu).nextSibling.childNodes;submenuNodes.length>0&&this.submenu.items[0].Activate(event,submenuNodes[0])}else this.Activate(event,menu)}else this.SUPER(arguments).MoveHorizontal.apply(this,arguments)}}),MENU.ITEM.RADIO=MENU.ENTRY.Subclass({variable:null,marker:isPC?\"●\":\"✓\",role:\"menuitemradio\",Attributes:function(def){var checked=CONFIG.settings[this.variable]===this.value?\"true\":\"false\";return def=HUB.Insert({\"aria-checked\":checked},def),def=this.SUPER(arguments).Attributes.call(this,def)},Init:function(name,variable,def){isArray(name)||(name=[name,name]),this.name=name,this.variable=variable,this.With(def),null==this.value&&(this.value=this.name[0])},Label:function(def,menu){var span={className:\"MathJax_MenuRadioCheck\"+this.rtlClass()};return CONFIG.settings[this.variable]!==this.value&&(span={style:{display:\"none\"}}),[[\"span\",span,[this.marker]],\" \"+this.Name()]},Mouseup:function(event,menu){if(!this.disabled){for(var child=menu.parentNode.childNodes,i=0,m=child.length;i/g,\">\");var title=_(\"EqSource\",\"MathJax Equation Source\");if(MENU.isMobile)w.document.open(),w.document.write(\"\"+title+\" \"),w.document.write(\"\"+text+\" \"),w.document.write(\"\"+title+\" \"),w.document.write(\"\"),w.document.write(\"\"),w.document.close();var table=w.document.body.firstChild;setTimeout((function(){var H=w.outerHeight-w.innerHeight||30,W=w.outerWidth-w.innerWidth||30,x,y,X;W=Math.max(140,Math.min(Math.floor(.5*screen.width),table.offsetWidth+W+25)),H=Math.max(40,Math.min(Math.floor(.5*screen.height),table.offsetHeight+H+25)),MENU.prototype.msieHeightBug&&(H+=35),w.resizeTo(W,H);try{X=event.screenX}catch(e){}event&&null!=X&&(x=Math.max(0,Math.min(event.screenX-Math.floor(W/2),screen.width-W-20)),y=Math.max(0,Math.min(event.screenY-Math.floor(H/2),screen.height-H-20)),w.moveTo(x,y))}),50)}},MENU.Scale=function(){var JAX=[\"CommonHTML\",\"HTML-CSS\",\"SVG\",\"NativeMML\",\"PreviewHTML\"],m=JAX.length,SCALE=100,i,jax;for(i=0;i7;MENU.Augment({margin:20,msieBackgroundBug:(document.documentMode||0)<9,msieFixedPositionBug:quirks||!isIE8,msieAboutBug:quirks,msieHeightBug:(document.documentMode||0)<9}),isIE9&&(delete CONFIG.styles[\"#MathJax_About\"].filter,delete CONFIG.styles[\".MathJax_Menu\"].filter)},Firefox:function(browser){MENU.skipMouseover=browser.isMobile&&browser.versionAtLeast(\"6.0\"),MENU.skipMousedown=browser.isMobile}}),MENU.isMobile=HUB.Browser.isMobile,MENU.noContextMenu=HUB.Browser.noContextMenu,MENU.CreateLocaleMenu=function(){if(MENU.menu){var menu=MENU.menu.Find(\"Language\").submenu,items=menu.items,locales=[],LOCALE=MathJax.Localization.strings;for(var id in LOCALE)LOCALE.hasOwnProperty(id)&&locales.push(id);locales=locales.sort(),menu.items=[];for(var i=0,m=locales.length;i126||n<32&&10!==n&&13!==n&&9!==n)string[i]=\"&#x\"+n.toString(16).toUpperCase()+\";\";else{var c={\"&\":\"&\",\"<\":\"<\",\">\":\">\",'\"':\""\"}[string[i]];c&&(string[i]=c)}else if(i+11,tag=this.type,attr=this.toMathMLattributes(),data=[],SPACE=space+(annotation?\" \"+(nested?\" \":\"\"):\"\")+\" \",i=0,m=this.data.length;i\"),data.push(space+\" \")),data.unshift(space+\" \");var xmlEscapedTex=jax.originalText.replace(/[&<>]/g,(function(item){return{\">\":\">\",\"<\":\"<\",\"&\":\"&\"}[item]}));data.push(space+' '+xmlEscapedTex+\" \"),data.push(space+\" \")}return space+\"<\"+tag+attr+\">\\n\"+data.join(\"\\n\")+\"\\n\"+space+\"\"}}),MML.msubsup.Augment({toMathML:function(space){var tag=this.type;null==this.data[this.sup]&&(tag=\"msub\"),null==this.data[this.sub]&&(tag=\"msup\");var attr=this.toMathMLattributes();delete this.data[0].inferred;for(var data=[],i=0,m=this.data.length;i\\n\"+data.join(\"\\n\")+\"\\n\"+space+\"\"}}),MML.munderover.Augment({toMathML:function(space){var tag=this.type,base=this.data[this.base];base&&base.isa(MML.TeXAtom)&&base.movablelimits&&!base.Get(\"displaystyle\")?(type=\"msubsup\",null==this.data[this.under]&&(tag=\"msup\"),null==this.data[this.over]&&(tag=\"msub\")):(null==this.data[this.under]&&(tag=\"mover\"),null==this.data[this.over]&&(tag=\"munder\"));var attr=this.toMathMLattributes();delete this.data[0].inferred;for(var 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max=node.currentStyle.maxWidth;if(\"none\"!==max){if(max.match(/\\d*px/))return parseFloat(max);var left=node.style.left;return node.style.left=max,max=node.style.pixelLeft,node.style.left=left,max}return 0},loadFont:function(font){HUB.RestartAfter(AJAX.Require(this.fontDir+\"/\"+font))},fontLoaded:function(font){font.match(/-|fontdata/)||(font+=\"-Regular\"),font.match(/\\.js$/)||(font+=\".js\"),MathJax.Callback.Queue([\"Post\",HUB.Startup.signal,\"CommonHTML - font data loaded for \"+font],[\"loadComplete\",AJAX,this.fontDir+\"/\"+font])},Element:function(type,def,content){return\"mjx-\"===type.substr(0,4)&&(def||(def={}),null==def.isMathJax&&(def.isMathJax=!0),def.className?def.className=type+\" \"+def.className:def.className=type,type=\"span\"),this.HTMLElement(type,def,content)},addElement:function(node,type,def,content){return node.appendChild(this.Element(type,def,content))},HTMLElement:HTML.Element,ucMatch:HTML.ucMatch,setScript:HTML.setScript,getNode:function(node,type){for(var name=RegExp(\"\\\\b\"+type+\"\\\\b\"),nodes=[];node;){for(var i=0,m=node.childNodes.length;i=state.CHTMLlast+state.CHTMLchunk&&(this.postTranslate(state),state.CHTMLchunk=Math.floor(state.CHTMLchunk*this.config.EqnChunkFactor),state.CHTMLdelay=!0)}}},initCHTML:function(math,node){},savePreview:function(script){var preview=script.MathJax.preview;preview&&preview.parentNode&&(script.MathJax.tmpPreview=document.createElement(\"span\"),preview.parentNode.replaceChild(script.MathJax.tmpPreview,preview))},restorePreview:function(script){var tmpPreview=script.MathJax.tmpPreview;tmpPreview&&(tmpPreview.parentNode.replaceChild(script.MathJax.preview,tmpPreview),delete script.MathJax.tmpPreview)},getMetrics:function(jax){var data=jax.CHTML;this.jax=jax,this.em=data.em,this.outerEm=data.outerEm,this.scale=data.scale,this.cwidth=data.cwidth,this.linebreakWidth=data.lineWidth},postTranslate:function(state){for(var scripts=state.jax[this.id],i=state.CHTMLlast,m=state.CHTMLeqn;ibbox.h&&(style.marginTop=CHTML.Em(bbox.t-bbox.h)),bbox.b>bbox.d&&(style.marginBottom=CHTML.Em(bbox.b-bbox.d)),bbox.l<0&&(style.paddingLeft=CHTML.Em(-bbox.l)),bbox.r>bbox.w&&(style.marginRight=CHTML.Em(bbox.r-bbox.w)),style.position=\"absolute\";var zW=node.offsetWidth,zH=node.offsetHeight,mH=math.firstChild.offsetHeight,mW=math.firstChild.offsetWidth;return node.style.position=\"\",{Y:-EVENT.getBBox(span).h,mW:mW,mH:mH,zW:zW,zH:zH}},Remove:function(jax){var node=document.getElementById(jax.inputID+\"-Frame\");node&&jax.CHTML.display&&(node=node.parentNode),node&&node.parentNode.removeChild(node),delete jax.CHTML},ID:0,idPostfix:\"\",GetID:function(){return this.ID++,this.ID},MATHSPACE:{veryverythinmathspace:1/18,verythinmathspace:2/18,thinmathspace:3/18,mediummathspace:4/18,thickmathspace:5/18,verythickmathspace:6/18,veryverythickmathspace:7/18,negativeveryverythinmathspace:-1/18,negativeverythinmathspace:-2/18,negativethinmathspace:-3/18,negativemediummathspace:-4/18,negativethickmathspace:-5/18,negativeverythickmathspace:-6/18,negativeveryverythickmathspace:-7/18,thin:.04,medium:.06,thick:.1,infinity:1e6},SPACECLASS:{thinmathspace:\"MJXc-space1\",mediummathspace:\"MJXc-space2\",thickmathspace:\"MJXc-space3\"},pxPerInch:96,em:16,maxStretchyParts:1e3,FONTDEF:{},TEXDEF:{x_height:.442,quad:1,num1:.676508,num2:.393732,num3:.44373,denom1:.685951,denom2:.344841,sup1:.412892,sup2:.362892,sup3:.288888,sub1:.15,sub2:.247217,sup_drop:.386108,sub_drop:.05,delim1:2.39,delim2:1,axis_height:.25,rule_thickness:.06,big_op_spacing1:.111111,big_op_spacing2:.166666,big_op_spacing3:.2,big_op_spacing4:.45,big_op_spacing5:.1,surd_height:.075,scriptspace:.05,nulldelimiterspace:.12,delimiterfactor:901,delimitershortfall:.3,min_rule_thickness:1.25},isChar:function(text){if(1===text.length)return!0;if(2!==text.length)return!1;var n=text.charCodeAt(0);return n>=55296&&n<56319},unicodeChar:function(n){return n<65535?String.fromCharCode(n):(n-=65536,String.fromCharCode(55296+(n>>10))+String.fromCharCode(56320+(1023&n)))},getUnicode:function(string){var n=string.text.charCodeAt(string.i);return string.i++,n>=55296&&n<56319&&(n=(n-55296<<10)+(string.text.charCodeAt(string.i)-56320)+65536,string.i++),n},getCharList:function(variant,n){var id,M,cache=variant.cache,nn=n;if(cache[n])return cache[n];if(n>65535&&this.FONTDATA.RemapPlane1){var nv=this.FONTDATA.RemapPlane1(n,variant);n=nv.n,variant=nv.variant}var RANGES=this.FONTDATA.RANGES,VARIANT=this.FONTDATA.VARIANT;if(n>=RANGES[0].low&&n<=RANGES[RANGES.length-1].high)for(id=0,M=RANGES.length;id=RANGES[id].low&&n<=RANGES[id].high){RANGES[id].remap&&RANGES[id].remap[n]?n=N+RANGES[id].remap[n]:(n=n-RANGES[id].low+N,RANGES[id].add&&(n+=RANGES[id].add)),variant[\"variant\"+RANGES[id].offset]&&(variant=VARIANT[variant[\"variant\"+RANGES[id].offset]]);break}}return cache[nn]=this.remapChar(variant,n,0),cache[nn]},remapChar:function(variant,n,N){var list=[],VARIANT=this.FONTDATA.VARIANT;if(variant.remap&&variant.remap[n]?(n=variant.remap[n],variant.remap.variant&&(variant=VARIANT[variant.remap.variant])):this.FONTDATA.REMAP[n]&&!variant.noRemap&&(n=this.FONTDATA.REMAP[n]),isArray(n)&&(n[2]&&(N=5),variant=VARIANT[n[1]],n=n[0]),\"string\"==typeof n)for(var string={text:n,i:0,length:n.length};string.i(bbox.a||0)&&(bbox.a=state.a),state.className=font.className;var C=font[item.n];if(remap){var FONT=font;isArray(remap)&&(FONT=CHTML.FONTDATA.FONTS[remap[1]],remap=remap[0],\"string\"==typeof FONT&&CHTML.loadFont(FONT)),FONT[item.n]&&CHTML.fixChar(FONT[item.n],item.n),C=CHTML.fixChar(FONT[remap],remap),state.className=FONT.className}if(state.text+=C.c,bbox.hbbox.w+C[3]&&(bbox.l=bbox.w+C[3]),bbox.rbbox.a)&&(bbox.a=state.a)),node=this.flushText(node,state,item.style),C[2]<3&&(node.style.width=CHTML.Em(C[2]))},flushText:function(node,state,style){return node=CHTML.addElement(node,\"mjx-charbox\",{className:state.className,style:style},[state.text]),state.a&&(node.style.paddingBottom=CHTML.Em(state.a)),state.text=\"\",state.className=null,state.a=0,state.flushed=!0,node}},handleText:function(node,text,variant,bbox){0===node.childNodes.length&&(CHTML.addElement(node,\"mjx-char\"),bbox=CHTML.BBOX.empty(bbox)),\"string\"==typeof variant&&(variant=this.FONTDATA.VARIANT[variant]),variant||(variant=this.FONTDATA.VARIANT[MML.VARIANT.NORMAL]);var string={text:text,i:0,length:text.length},list=[];if(variant.style&&string.length)list.push(this.styledText(variant,text));else for(;string.i-bbox.b&&(node.firstChild.style.paddingBottom=this.EmRounded(bbox.d+bbox.b)),bbox},createDelimiter:function(node,code,HW,BBOX,font){if(!code){var bbox=this.BBOX.zero();return bbox.w=bbox.r=this.TEX.nulldelimiterspace,CHTML.addElement(node,\"mjx-box\",{style:{width:bbox.w}}),bbox}HW instanceof Array||(HW=[HW,HW]);var hw=HW[1];HW=HW[0];for(var delim={alias:code};delim.alias;)code=delim.alias,(delim=this.FONTDATA.DELIMITERS[code])||(delim={HW:[0,this.FONTDATA.VARIANT[MML.VARIANT.NORMAL]]});delim.load&&HUB.RestartAfter(AJAX.Require(this.fontDir+\"/TeX/fontdata-\"+delim.load+\".js\"));for(var i=0,m=delim.HW.length;i=HW-.01||i==m-1&&!delim.stretch)return delim.HW[i][3]&&(code=delim.HW[i][3]),(bbox=this.createChar(node,[code,delim.HW[i][1]],delim.HW[i][2]||1,font)).offset=.6*bbox.w,BBOX&&(bbox.scale=BBOX.scale,BBOX.rscale=BBOX.rscale),bbox;return delim.stretch?this[\"extendDelimiter\"+delim.dir](node,hw,delim.stretch,BBOX,font):bbox},extendDelimiterV:function(node,H,delim,BBOX,font){node=CHTML.addElement(node,\"mjx-delim-v\");var tmp=CHTML.Element(\"span\"),top,bot,mid,ext,tbox,bbox,mbox,ebox,k=1,c;tbox=this.createChar(tmp,delim.top||delim.ext,1,font),top=tmp.removeChild(tmp.firstChild),bbox=this.createChar(tmp,delim.bot||delim.ext,1,font),bot=tmp.removeChild(tmp.firstChild),mbox=ebox=CHTML.BBOX.zero();var h=tbox.h+tbox.d+bbox.h+bbox.d-.1;if(node.appendChild(top),delim.mid&&(mbox=this.createChar(tmp,delim.mid,1,font),mid=tmp.removeChild(tmp.firstChild),h+=mbox.h+mbox.d,k=2),delim.min&&Hh){ebox=this.createChar(tmp,delim.ext,1,font),ext=tmp.removeChild(tmp.firstChild);var eH=ebox.h+ebox.d,eh=eH-.1,n=Math.min(Math.ceil((H-h)/(k*eh)),this.maxStretchyParts);delim.fullExtenders?H=n*k*eh+h:eh=(H-h)/(k*n),c=ebox.d+ebox.a-eH/2,ext.style.margin=ext.style.padding=\"\",ext.style.lineHeight=CHTML.Em(eh),ext.style.marginBottom=CHTML.Em(c-.05/k),ext.style.marginTop=CHTML.Em(-c-.05/k);for(var TEXT=ext.textContent,text=\"\\n\"+TEXT;--n>0;)TEXT+=text;ext.textContent=TEXT,node.appendChild(ext),delim.mid&&(node.appendChild(mid),node.appendChild(ext.cloneNode(!0)))}else c=(H-h-.1)/k,top.style.marginBottom=CHTML.Em(c+parseFloat(top.style.marginBottom||\"0\")),delim.mid&&node.appendChild(mid),bot.style.marginTop=CHTML.Em(c+parseFloat(bot.style.marginTop||\"0\"));node.appendChild(bot);var vbox=CHTML.BBOX({w:Math.max(tbox.w,ebox.w,bbox.w,mbox.w),l:Math.min(tbox.l,ebox.l,bbox.l,mbox.l),r:Math.max(tbox.r,ebox.r,bbox.r,mbox.r),h:H-bbox.d,d:bbox.d,t:H-bbox.d,b:bbox.d});return vbox.offset=.5*vbox.w,BBOX&&(vbox.scale=BBOX.scale,vbox.rscale=BBOX.rscale),vbox},extendDelimiterH:function(node,W,delim,BBOX,font){node=CHTML.addElement(node,\"mjx-delim-h\");var tmp=CHTML.Element(\"span\"),left,right,mid,ext,ext2,lbox,rbox,mbox,ebox,k=1;lbox=this.createChar(tmp,delim.left||delim.rep,1,font),left=tmp.removeChild(tmp.firstChild),rbox=this.createChar(tmp,delim.right||delim.rep,1,font),right=tmp.removeChild(tmp.firstChild),ebox=this.createChar(tmp,delim.rep,1,font),ext=tmp.removeChild(tmp.firstChild),left.style.marginLeft=CHTML.Em(-lbox.l),right.style.marginRight=CHTML.Em(rbox.r-rbox.w),node.appendChild(left);var hbox=CHTML.BBOX.zero();hbox.h=Math.max(lbox.h,rbox.h,ebox.h),hbox.d=Math.max(lbox.D||lbox.d,rbox.D||rbox.d,ebox.D||ebox.d);var w=lbox.r-lbox.l+(rbox.r-rbox.l)-.1;if(delim.mid&&(mbox=this.createChar(tmp,delim.mid,1,font),(mid=tmp.removeChild(tmp.firstChild)).style.marginleft=CHTML.Em(-mbox.l),mid.style.marginRight=CHTML.Em(mbox.r-mbox.w),w+=mbox.r-mbox.l+.1,k=2,mbox.h>hbox.h&&(hbox.h=mbox.h),mbox.d>hbox.d&&(hbox.d=mbox.d)),delim.min&&Ww){var eW=ebox.r-ebox.l,ew=eW-.1,n=Math.min(Math.ceil((W-w)/(k*ew)),this.maxStretchyParts);delim.fullExtenders?W=n*k*ew+w:ew=(W-w)/(k*n);var c=(eW-ew+.1/k)/2;ext.style.marginLeft=CHTML.Em(-ebox.l-c),ext.style.marginRight=CHTML.Em(ebox.r-ebox.w+c),ext.style.letterSpacing=CHTML.Em(-(ebox.w-ew)),left.style.marginRight=CHTML.Em(lbox.r-lbox.w),right.style.marginleft=CHTML.Em(-rbox.l);for(var TEXT=ext.textContent,text=TEXT;--n>0;)TEXT+=text;ext.textContent=TEXT,node.appendChild(ext),delim.mid&&(node.appendChild(mid),ext2=node.appendChild(ext.cloneNode(!0)))}else c=(W-w-.1/k)/2,left.style.marginRight=CHTML.Em(lbox.r-lbox.w+c),delim.mid&&node.appendChild(mid),right.style.marginLeft=CHTML.Em(-rbox.l+c);return node.appendChild(right),this.adjustHeights([left,ext,mid,ext2,right],[lbox,ebox,mbox,ebox,rbox],hbox),BBOX&&(hbox.scale=BBOX.scale,hbox.rscale=BBOX.rscale),hbox},adjustHeights:function(nodes,box,bbox){var T=bbox.h,B=bbox.d;bbox.d<0&&(B=-bbox.d,bbox.D=bbox.d,bbox.d=0);for(var i=0,m=nodes.length;i0&&delete this.D},rescale:function(scale){this.w*=scale,this.h*=scale,this.d*=scale,this.l*=scale,this.r*=scale,this.t*=scale,this.b*=scale,this.L&&(this.L*=scale),this.R&&(this.R*=scale),this.D&&(this.D*=scale)},combine:function(cbox,x,y){cbox.X=x,cbox.Y=y;var scale=cbox.rscale;x+scale*cbox.r>this.r&&(this.r=x+scale*cbox.r),x+scale*cbox.lthis.w&&(this.w=x+scale*(cbox.w+(cbox.L||0)+(cbox.R||0))),y+scale*cbox.h>this.h&&(this.h=y+scale*cbox.h),cbox.D&&(null==this.D||scale*cbox.D-y>this.D)&&scale*cbox.D>this.d?this.D=scale*cbox.D-y:null==cbox.D&&this.D&&delete this.D,scale*cbox.d-y>this.d&&(this.d=scale*cbox.d-y),y+scale*cbox.t>this.t&&(this.t=y+scale*cbox.t),scale*cbox.b-y>this.b&&(this.b=scale*cbox.b-y)},append:function(cbox){var scale=cbox.rscale,x=this.w;x+scale*cbox.r>this.r&&(this.r=x+scale*cbox.r),x+scale*cbox.lthis.h&&(this.h=scale*cbox.h),cbox.D&&(null==this.D||scale*cbox.D>this.D)&&scale*cbox.D>this.d?this.D=scale*cbox.D:null==cbox.D&&this.D&&delete this.D,scale*cbox.d>this.d&&(this.d=scale*cbox.d),scale*cbox.t>this.t&&(this.t=scale*cbox.t),scale*cbox.b>this.b&&(this.b=scale*cbox.b)},updateFrom:function(cbox){this.h=cbox.h,this.d=cbox.d,this.w=cbox.w,this.r=cbox.r,this.l=cbox.l,this.t=cbox.t,this.b=cbox.b,cbox.pwidth&&(this.pwidth=cbox.pwidth),cbox.D?this.D=cbox.D:delete this.D},adjust:function(m,x,X,M){this[x]+=CHTML.length2em(m,1,this.scale),null==M?this[x]>this[X]&&(this[X]=this[x]):this[X]bbox.r&&(bbox.r=bbox.w),dbox.h>bbox.h&&(bbox.h=dbox.h),dbox.d>bbox.d&&(bbox.d=dbox.d),dbox.t>bbox.t&&(bbox.t=dbox.t),dbox.b>bbox.b&&(bbox.b=dbox.b)}}},CHTMLstretchChildH:function(i,W,node){var data=this.data[i];if(data){var bbox=this.CHTML,dbox=data.CHTML;if(dbox.stretch||null==dbox.stretch&&data.CHTMLcanStretch(\"Horizontal\",W)){var w=dbox.w;dbox=data.CHTMLstretchH(this.CHTMLchildNode(node,i),W),bbox.w+=dbox.w-w,bbox.w>bbox.r&&(bbox.r=bbox.w),dbox.h>bbox.h&&(bbox.h=dbox.h),dbox.d>bbox.d&&(bbox.d=dbox.d),dbox.t>bbox.t&&(bbox.t=dbox.t),dbox.b>bbox.b&&(bbox.b=dbox.b)}}},CHTMLupdateFrom:function(bbox){this.CHTML.updateFrom(bbox),this.inferRow&&this.data[0].CHTML.updateFrom(bbox)},CHTMLcanStretch:function(direction,H,D){var stretch=!1;if(this.isEmbellished()){var core=this.Core();core&&core!==this&&(stretch=core.CHTMLcanStretch(direction,H,D))}return this.CHTML.stretch=stretch,stretch},CHTMLstretchV:function(h,d){return this.CHTMLupdateFrom(this.Core().CHTMLstretchV(h,d)),this.CHTML},CHTMLstretchH:function(node,w){return this.CHTMLupdateFrom(this.CHTMLstretchCoreH(node,w)),this.CHTML},CHTMLstretchCoreH:function(node,w){return this.Core().CHTMLstretchH(this.CHTMLcoreNode(node),w)},CHTMLcreateNode:function(node){this.CHTML||(this.CHTML={}),this.CHTML=CHTML.BBOX.zero(),this.href&&(node=CHTML.addElement(node,\"a\",{href:this.href,isMathJax:!0})),this.CHTMLnodeID||(this.CHTMLnodeID=CHTML.GetID());var id=(this.id||\"MJXc-Node-\"+this.CHTMLnodeID)+CHTML.idPostfix;return this.CHTMLhandleAttributes(CHTML.addElement(node,\"mjx-\"+this.type,{id:id}))},CHTMLnodeElement:function(){return this.CHTMLnodeID?document.getElementById((this.id||\"MJXc-Node-\"+this.CHTMLnodeID)+CHTML.idPostfix):null},CHTMLlength2em:function(length,size){return CHTML.length2em(length,size,this.CHTML.scale)},CHTMLhandleAttributes:function(node){if(this.class&&(node.className?node.className+=\" \"+this.class:node.className=this.class),this.attrNames)for(var copy=this.attrNames,skip=MML.nocopyAttributes,ignore=HUB.config.ignoreMMLattributes,defaults=\"mstyle\"===this.type?MML.math.prototype.defaults:this.defaults,i=0,m=copy.length;i2&&(values.scriptlevel=2),scale=Math.pow(this.Get(\"scriptsizemultiplier\"),values.scriptlevel),values.scriptminsize=CHTML.length2em(this.Get(\"scriptminsize\"),.8,1),scale600?\"bold\":\"normal\");var variant=values.mathvariant;if(this.variantForm&&(variant=\"-TeX-variant\"),values.family&&!values.hasVariant)return!values.weight&&values.mathvariant.match(/bold/)&&(values.weight=\"bold\"),!values.style&&values.mathvariant.match(/italic/)&&(values.style=\"italic\"),void(this.CHTMLvariant={fonts:[],noRemap:!0,cache:{},style:{\"font-family\":values.family,\"font-weight\":values.weight||\"normal\",\"font-style\":values.style||\"normal\"}});\"bold\"===values.weight?variant={normal:MML.VARIANT.BOLD,italic:MML.VARIANT.BOLDITALIC,fraktur:MML.VARIANT.BOLDFRAKTUR,script:MML.VARIANT.BOLDSCRIPT,\"sans-serif\":MML.VARIANT.BOLDSANSSERIF,\"sans-serif-italic\":MML.VARIANT.SANSSERIFBOLDITALIC}[variant]||variant:\"normal\"===values.weight&&(variant={bold:MML.VARIANT.normal,\"bold-italic\":MML.VARIANT.ITALIC,\"bold-fraktur\":MML.VARIANT.FRAKTUR,\"bold-script\":MML.VARIANT.SCRIPT,\"bold-sans-serif\":MML.VARIANT.SANSSERIF,\"sans-serif-bold-italic\":MML.VARIANT.SANSSERIFITALIC}[variant]||variant),\"italic\"===values.style?variant={normal:MML.VARIANT.ITALIC,bold:MML.VARIANT.BOLDITALIC,\"sans-serif\":MML.VARIANT.SANSSERIFITALIC,\"bold-sans-serif\":MML.VARIANT.SANSSERIFBOLDITALIC}[variant]||variant:\"normal\"===values.style&&(variant={italic:MML.VARIANT.NORMAL,\"bold-italic\":MML.VARIANT.BOLD,\"sans-serif-italic\":MML.VARIANT.SANSSERIF,\"sans-serif-bold-italic\":MML.VARIANT.BOLDSANSSERIF}[variant]||variant),this.CHTMLvariant=CHTML.FONTDATA.VARIANT[variant]||CHTML.FONTDATA.VARIANT[MML.VARIANT.NORMAL]},CHTMLbboxFor:function(n){return this.data[n]&&this.data[n].CHTML?this.data[n].CHTML:CHTML.BBOX.zero()},CHTMLdrawBBox:function(node,bbox){bbox||(bbox=this.CHTML);var box=CHTML.Element(\"mjx-box\",{style:{opacity:.25,\"margin-left\":CHTML.Em(-(bbox.w+(bbox.R||0)))}},[[\"mjx-box\",{style:{height:CHTML.Em(bbox.h),width:CHTML.Em(bbox.w),\"background-color\":\"red\"}}],[\"mjx-box\",{style:{height:CHTML.Em(bbox.d),width:CHTML.Em(bbox.w),\"margin-left\":CHTML.Em(-bbox.w),\"vertical-align\":CHTML.Em(-bbox.d),\"background-color\":\"green\"}}]]);node.nextSibling?node.parentNode.insertBefore(box,node.nextSibling):node.parentNode.appendChild(box)},CHTMLnotEmpty:function(mml){for(;mml&&mml.data.length<2&&(\"mrow\"===mml.type||\"texatom\"===mml.type);)mml=mml.data[0];return!!mml}},{CHTMLautoload:function(){this.constructor.Augment({toCommonHTML:MML.mbase.CHTMLautoloadFail});var file=CHTML.autoloadDir+\"/\"+this.type+\".js\";HUB.RestartAfter(AJAX.Require(file))},CHTMLautoloadFail:function(){throw Error(\"CommonHTML can't autoload '\"+this.type+\"'\")},CHTMLautoloadList:{},CHTMLautoloadFile:function(name){if(MML.mbase.CHTMLautoloadList.hasOwnProperty(name))throw Error(\"CommonHTML can't autoload file '\"+name+\"'\");MML.mbase.CHTMLautoloadList[name]=!0;var file=CHTML.autoloadDir+\"/\"+name+\".js\";HUB.RestartAfter(AJAX.Require(file))},CHTMLstretchV:function(h,d){return this.Core().CHTMLstretchV(h,d),this.toCommonHTML(this.CHTMLnodeElement(),{stretch:!0}),this.CHTML},CHTMLstretchH:function(node,w){return this.CHTMLupdateFrom(this.CHTMLstretchCoreH(node,w)),this.toCommonHTML(node,{stretch:!0}),this.CHTML}}),MML.chars.Augment({toCommonHTML:function(node,options){this.CHTML=null,null==options&&(options={});var text=this.toString();options.remap&&(text=options.remap(text,options.remapchars)),this.CHTMLhandleText(node,text,options.variant||this.parent.CHTMLvariant)}}),MML.entity.Augment({toCommonHTML:function(node,options){null==options&&(options={});var text=this.toString();options.remapchars&&(text=options.remap(text,options.remapchars)),this.CHTMLhandleText(node,text,options.variant||this.parent.CHTMLvariant)}}),MML.math.Augment({toCommonHTML:function(node){node=this.CHTMLdefaultNode(node),this.CHTML.w<0&&(node.parentNode.style.width=\"0px\",node.parentNode.style.marginRight=CHTML.Em(this.CHTML.w));var alttext=this.Get(\"alttext\");if(alttext&&!node.getAttribute(\"aria-label\")&&node.setAttribute(\"aria-label\",alttext),this.CHTML.pwidth)node.parentNode.style.minWidth=this.CHTML.mwidth||CHTML.Em(this.CHTML.w),node.parentNode.className=\"mjx-full-width \"+node.parentNode.className,node.style.width=this.CHTML.pwidth;else if(!this.isMultiline&&\"block\"===this.Get(\"display\")){var values=this.getValues(\"indentalignfirst\",\"indentshiftfirst\",\"indentalign\",\"indentshift\");values.indentalignfirst!==MML.INDENTALIGN.INDENTALIGN&&(values.indentalign=values.indentalignfirst),values.indentalign===MML.INDENTALIGN.AUTO&&(values.indentalign=CONFIG.displayAlign),values.indentshiftfirst!==MML.INDENTSHIFT.INDENTSHIFT&&(values.indentshift=values.indentshiftfirst),\"auto\"===values.indentshift&&(values.indentshift=\"0\");var shift=this.CHTMLlength2em(values.indentshift,CHTML.cwidth);if(\"0\"!==CONFIG.displayIndent){var indent=this.CHTMLlength2em(CONFIG.displayIndent,CHTML.cwidth);shift+=values.indentalign===MML.INDENTALIGN.RIGHT?-indent:indent}var styles=node.parentNode.parentNode.style;node.parentNode.style.textAlign=styles.textAlign=values.indentalign,shift&&(shift*=CHTML.em/CHTML.outerEm,HUB.Insert(styles,{left:{marginLeft:CHTML.Em(shift)},right:{marginRight:CHTML.Em(-shift)},center:{marginLeft:CHTML.Em(shift),marginRight:CHTML.Em(-shift)}}[values.indentalign]))}return node}}),MML.mi.Augment({toCommonHTML:function(node){node=this.CHTMLdefaultNode(node);var bbox=this.CHTML,text=this.data.join(\"\");return null==bbox.skew||CHTML.isChar(text)||delete bbox.skew,bbox.r>bbox.w&&CHTML.isChar(text)&&!this.CHTMLvariant.noIC&&(bbox.ic=bbox.r-bbox.w,bbox.w=bbox.r,node.lastChild.style.paddingRight=CHTML.Em(bbox.ic)),node}}),MML.mn.Augment({CHTMLremapMinus:function(text){return text.replace(/^-/,\"−\")},toCommonHTML:function(node){node=this.CHTMLdefaultNode(node,{childOptions:{remap:this.CHTMLremapMinus}});var bbox=this.CHTML,text=this.data.join(\"\");return null==bbox.skew||CHTML.isChar(text)||delete bbox.skew,bbox.r>bbox.w&&CHTML.isChar(text)&&!this.CHTMLvariant.noIC&&(bbox.ic=bbox.r-bbox.w,bbox.w=bbox.r,node.lastChild.style.paddingRight=CHTML.Em(bbox.ic)),node}}),MML.mo.Augment({toCommonHTML:function(node){node=this.CHTMLcreateNode(node),this.CHTMLhandleStyle(node),this.CHTMLgetVariant(),this.CHTMLhandleScale(node),CHTML.BBOX.empty(this.CHTML);var values=this.getValues(\"displaystyle\",\"largeop\");if(values.variant=this.CHTMLvariant,values.text=this.data.join(\"\"),\"\"==values.text)this.fence&&(node.style.width=CHTML.Em(CHTML.TEX.nulldelimiterspace));else{this.CHTMLadjustAccent(values),this.CHTMLadjustVariant(values);for(var i=0,m=this.data.length;i0&&(this.hasValue(\"lspace\")||(values.lspace=.15),this.hasValue(\"rspace\")||(values.rspace=.15));for(var core=this,parent=this.Parent();parent&&parent.isEmbellished()&&parent.Core()===core;)core=parent,parent=parent.Parent(),node=core.CHTMLnodeElement();values.lspace&&(node.style.paddingLeft=CHTML.Em(values.lspace)),values.rspace&&(node.style.paddingRight=CHTML.Em(values.rspace)),this.CHTML.L=values.lspace,this.CHTML.R=values.rspace}else this.SUPER(arguments).CHTMLhandleSpace.apply(this,arguments)},CHTMLadjustAccent:function(data){var parent=this.CoreParent();if(data.parent=parent,CHTML.isChar(data.text)&&parent&&parent.isa(MML.munderover)){var over=parent.data[parent.over],under=parent.data[parent.under];over&&this===over.CoreMO()&&parent.Get(\"accent\")?data.remapchars=CHTML.FONTDATA.REMAPACCENT:under&&this===under.CoreMO()&&parent.Get(\"accentunder\")&&(data.remapchars=CHTML.FONTDATA.REMAPACCENTUNDER)}},CHTMLadjustVariant:function(data){var parent=data.parent,isScript=parent&&parent.isa(MML.msubsup)&&this!==parent.data[parent.base];data.largeop&&(data.mathvariant=data.displaystyle?\"-largeOp\":\"-smallOp\"),isScript&&(data.remapchars=this.remapChars,data.text.match(/['`\"\\u00B4\\u2032-\\u2037\\u2057]/)&&(data.mathvariant=\"-TeX-variant\"))},CHTMLfixCombiningChar:function(node){node=node.firstChild;var space=CHTML.Element(\"mjx-box\",{style:{width:\".25em\",\"margin-left\":\"-.25em\"}});node.insertBefore(space,node.firstChild)},CHTMLcenterOp:function(node){var bbox=this.CHTML,p=(bbox.h-bbox.d)/2-CHTML.TEX.axis_height;Math.abs(p)>.001&&(node.style.verticalAlign=CHTML.Em(-p)),bbox.h-=p,bbox.d+=p,bbox.r>bbox.w&&(bbox.ic=bbox.r-bbox.w,bbox.w=bbox.r,node.style.paddingRight=CHTML.Em(bbox.ic))},CHTMLcanStretch:function(direction,H,D){if(!this.Get(\"stretchy\"))return!1;var c=this.data.join(\"\");if(!CHTML.isChar(c))return!1;var values={text:c};this.CHTMLadjustAccent(values),values.remapchars&&(c=values.remapchars[c]||c);var stretch=(c=CHTML.FONTDATA.DELIMITERS[c.charCodeAt(0)])&&c.dir===direction.substr(0,1);return stretch&&(stretch=this.CHTML.h!==H||this.CHTML.d!==D||!!this.Get(\"minsize\",!0)||!!this.Get(\"maxsize\",!0))&&(this.CHTML.stretch=!0),stretch},CHTMLstretchV:function(h,d){var node=this.CHTMLnodeElement(),bbox=this.CHTML,values=this.getValues(\"symmetric\",\"maxsize\",\"minsize\"),H,a=CHTML.TEX.axis_height;if(H=values.symmetric?2*Math.max(h-a,d+a):h+d,values.maxsize=this.CHTMLlength2em(values.maxsize,bbox.h+bbox.d),values.minsize=this.CHTMLlength2em(values.minsize,bbox.h+bbox.d),(H=Math.max(values.minsize,Math.min(values.maxsize,H)))!==bbox.sH){for(H!=values.minsize&&(H=[Math.max(H*CHTML.TEX.delimiterfactor/1e3,H-CHTML.TEX.delimitershortfall),H]);node.firstChild;)node.removeChild(node.firstChild);this.CHTML=bbox=CHTML.createDelimiter(node,this.data.join(\"\").charCodeAt(0),H,bbox),bbox.sH=H instanceof Array?H[1]:H,H=values.symmetric?(bbox.h+bbox.d)/2+a:(bbox.h+bbox.d)*h/(h+d),H-=bbox.h,Math.abs(H)>.05&&(node.style.verticalAlign=CHTML.Em(H),bbox.h+=H,bbox.d-=H,bbox.t+=H,bbox.b-=H)}return this.CHTML},CHTMLstretchH:function(node,W){var bbox=this.CHTML,values=this.getValues(\"maxsize\",\"minsize\",\"mathvariant\",\"fontweight\");if((\"bold\"===values.fontweight||\"bold\"===(this.removedStyles||{}).fontWeight||parseInt(values.fontweight)>=600)&&!this.Get(\"mathvariant\",!0)&&(values.mathvariant=MML.VARIANT.BOLD),values.maxsize=this.CHTMLlength2em(values.maxsize,bbox.w),values.minsize=this.CHTMLlength2em(values.minsize,bbox.w),(W=Math.max(values.minsize,Math.min(values.maxsize,W)))!==bbox.sW){for(;node.firstChild;)node.removeChild(node.firstChild);this.CHTML=bbox=CHTML.createDelimiter(node,this.data.join(\"\").charCodeAt(0),W,bbox,values.mathvariant),bbox.sW=W}return this.CHTML}}),MML.mtext.Augment({CHTMLgetVariant:function(){if(CHTML.config.mtextFontInherit||\"merror\"===this.Parent().type){var scale=CHTML.config.scale/100/CHTML.scale,variant={cache:{},fonts:[],className:\"MJXc-font-inherit\",rscale:scale,style:{\"font-size\":CHTML.Percent(scale)}},name=this.Get(\"mathvariant\");name.match(/bold/)&&(variant.style[\"font-weight\"]=\"bold\"),name.match(/italic|-tex-mathit/)&&(variant.style[\"font-style\"]=\"italic\"),\"monospace\"===name&&(variant.className+=\" MJXc-monospace-font\"),\"double-struck\"===name&&(variant.className+=\" MJXc-double-struck-font\"),name.match(/fraktur/)&&(variant.className+=\" MJXc-fraktur-font\"),name.match(/sans-serif/)&&(variant.className+=\" MJXc-sans-serif-font\"),name.match(/script/)&&(variant.className+=\" MJXc-script-font\"),this.CHTMLvariant=variant}else this.SUPER(arguments).CHTMLgetVariant.call(this)}}),MML.merror.Augment({toCommonHTML:function(node){node=this.CHTMLdefaultNode(node);var bbox=this.CHTML;return bbox.rescale(.9),bbox.h+=3/CHTML.em,bbox.h>bbox.t&&(bbox.t=bbox.h),bbox.d+=3/CHTML.em,bbox.d>bbox.b&&(bbox.b=bbox.d),bbox.w+=8/CHTML.em,bbox.r=bbox.w,bbox.l=0,node}}),MML.mspace.Augment({toCommonHTML:function(node){node=this.CHTMLcreateNode(node),this.CHTMLhandleStyle(node),this.CHTMLhandleScale(node);var values=this.getValues(\"height\",\"depth\",\"width\"),w=this.CHTMLlength2em(values.width),h=this.CHTMLlength2em(values.height),d=this.CHTMLlength2em(values.depth),bbox=this.CHTML;return bbox.w=bbox.r=w,bbox.h=bbox.t=h,bbox.d=bbox.b=d,bbox.l=0,w<0&&(node.style.marginRight=CHTML.Em(w),w=0),node.style.width=CHTML.Em(w),node.style.height=CHTML.Em(Math.max(0,h+d)),d&&(node.style.verticalAlign=CHTML.Em(-d)),this.CHTMLhandleBBox(node),this.CHTMLhandleColor(node),node}}),MML.mpadded.Augment({toCommonHTML:function(node,options){var child;options&&options.stretch?child=(node=node.firstChild).firstChild:(child=(node=this.CHTMLdefaultNode(node,{childNodes:\"mjx-box\",forceChild:!0})).firstChild,(node=CHTML.addElement(node,\"mjx-block\")).appendChild(child),CHTML.addElement(node,\"mjx-strut\"));var cbox=this.CHTMLbboxFor(0),values=this.getValues(\"width\",\"height\",\"depth\",\"lspace\",\"voffset\"),x=0,y=0,w=cbox.w,h=cbox.h,d=cbox.d;child.style.width=0,child.style.margin=CHTML.Em(-h)+\" 0 \"+CHTML.Em(-d),\"\"!==values.width&&(w=this.CHTMLdimen(values.width,\"w\",w,0)),\"\"!==values.height&&(h=this.CHTMLdimen(values.height,\"h\",h,0)),\"\"!==values.depth&&(d=this.CHTMLdimen(values.depth,\"d\",d,0)),\"\"!==values.voffset&&(y=this.CHTMLdimen(values.voffset))&&(child.style.position=\"relative\",child.style.top=CHTML.Em(-y)),\"\"!==values.lspace&&(x=this.CHTMLdimen(values.lspace))&&(child.style.position=\"relative\",child.style.left=CHTML.Em(x)),node.style.width=0,node.style.marginTop=CHTML.Em(h-1),node.style.padding=\"0 \"+CHTML.Em(w)+\" \"+CHTML.Em(d)+\" 0\";var bbox=CHTML.BBOX({w:w,h:h,d:d,l:0,r:w,t:h,b:d,scale:this.CHTML.scale,rscale:this.CHTML.rscale});return bbox.combine(cbox,x,y),bbox.w=w,bbox.h=h,bbox.d=d,this.CHTML=bbox,node.parentNode},CHTMLstretchV:MML.mbase.CHTMLstretchV,CHTMLstretchH:MML.mbase.CHTMLstretchH,CHTMLdimen:function(length,d,D,m){null==m&&(m=-1e6);var match=(length=String(length)).match(/width|height|depth/),size=match?this.CHTML[match[0].charAt(0)]:d?this.CHTML[d]:0,dimen=this.CHTMLlength2em(length,size)||0;return length.match(/^[-+]/)&&null!=D&&(dimen+=D),null!=m&&(dimen=Math.max(m,dimen)),dimen}}),MML.munderover.Augment({toCommonHTML:function(node,options){var values=this.getValues(\"displaystyle\",\"accent\",\"accentunder\",\"align\"),base=this.data[this.base];if(!values.displaystyle&&null!=base&&(base.movablelimits||base.CoreMO().Get(\"movablelimits\")))return MML.msubsup.prototype.toCommonHTML.call(this,node,stretch);var under,over,nodes=[],stretch=!1;if(options&&options.stretch)this.data[this.base]&&(base=CHTML.getNode(node,\"mjx-op\")),this.data[this.under]&&(under=CHTML.getNode(node,\"mjx-under\")),this.data[this.over]&&(over=CHTML.getNode(node,\"mjx-over\")),nodes[0]=base,nodes[1]=under||over,nodes[2]=over,stretch=!0;else{var types=[\"mjx-op\",\"mjx-under\",\"mjx-over\"];1===this.over&&(types[1]=types[2]),node=this.CHTMLdefaultNode(node,{childNodes:types,noBBox:!0,forceChild:!0,minChildren:2}),nodes[0]=base=node.removeChild(node.firstChild),nodes[1]=under=over=node.removeChild(node.firstChild),node.firstChild&&(nodes[2]=over=node.removeChild(node.firstChild))}var boxes=[],W=this.CHTMLgetBBoxes(boxes,nodes,values),bbox=boxes[this.base],BBOX=this.CHTML;BBOX.w=W,BBOX.h=bbox.h,BBOX.d=bbox.d,bbox.h<.35&&(base.style.marginTop=CHTML.Em(bbox.h-.35)),values.accent&&bbox.hw&&(w=W);for(-1e6===w&&(w=W),i=0;iBBOX.w&&(BBOX.skew+=(BBOX.w-(obox.x+scale*obox.w))/2))):(z1=CHTML.TEX.big_op_spacing1,z2=CHTML.TEX.big_op_spacing3,k=Math.max(z1,z2-Math.max(0,scale*obox.d))),obox.x+=delta/2,obox.y=BBOX.h+k+z3+scale*obox.d,k&&(over.style.paddingBottom=CHTML.Em(k/scale)),z3&&(over.style.paddingTop=CHTML.Em(z3/scale)),stack},CHTMLaddUnderscript:function(under,boxes,values,delta,node,stack,stretch){var BBOX=this.CHTML,z1,z2,z3=CHTML.TEX.big_op_spacing5,k,ubox=boxes[this.under],scale=ubox.rscale;stretch||(CHTML.addElement(node,\"mjx-itable\",{},[[\"mjx-row\",{},[[\"mjx-cell\"]]],[\"mjx-row\"]]),node.firstChild.firstChild.firstChild.appendChild(stack),node.firstChild.lastChild.appendChild(under)),ubox.D&&(ubox.d=ubox.D),ubox.d<0&&(under.firstChild.style.verticalAlign=\"top\",node.firstChild.style.marginBottom=CHTML.Em(ubox.d)),values.accentunder?(k=2*CHTML.TEX.rule_thickness,z3=0):(z1=CHTML.TEX.big_op_spacing2,z2=CHTML.TEX.big_op_spacing4,k=Math.max(z1,z2-scale*ubox.h)),ubox.x=-delta/2,ubox.y=-(BBOX.d+k+z3+scale*ubox.h),k&&(under.style.paddingTop=CHTML.Em(k/scale)),z3&&(under.style.paddingBottom=CHTML.Em(z3/scale))},CHTMLplaceBoxes:function(base,under,over,values,boxes){var W=this.CHTML.w,i,m=boxes.length,scale,BBOX=CHTML.BBOX.zero();BBOX.scale=this.CHTML.scale,BBOX.rscale=this.CHTML.rscale,boxes[this.base].x=boxes[this.base].y=0;var dx=1e6;for(i=0;i0&&(u+=q,v-=q)),u=Math.max(u,values.superscriptshift),v=Math.max(v,values.subscriptshift),sub.style.paddingRight=CHTML.Em(s/sscale),sup.style.paddingBottom=CHTML.Em(u/Sscale+v/sscale-Sbox.d-sbox.h/sscale*Sscale),sup.style.paddingLeft=CHTML.Em(delta/Sscale),sup.style.paddingRight=CHTML.Em(s/Sscale),stack.style.verticalAlign=CHTML.Em(-v),BBOX.combine(Sbox,x+delta,u),BBOX.combine(sbox,x,-v)}else p=CHTML.TEX[values.displaystyle?\"sup1\":values.texprimestyle?\"sup3\":\"sup2\"],u=Math.max(u,p,Sscale*Sbox.d+.25*ex,values.superscriptshift),sup.style.verticalAlign=CHTML.Em(u/Sscale),sup.style.paddingLeft=CHTML.Em(delta/Sscale),sup.style.paddingRight=CHTML.Em(s/Sscale),BBOX.combine(Sbox,x+delta,u);else sub&&(v=Math.max(v,CHTML.TEX.sub1,sscale*sbox.h-.8*ex,values.subscriptshift),sub.style.verticalAlign=CHTML.Em(-v/sscale),sub.style.paddingRight=CHTML.Em(s/sscale),BBOX.combine(sbox,x,-v));return BBOX.clean(),node},CHTMLstretchV:MML.mbase.CHTMLstretchV,CHTMLstretchH:MML.mbase.CHTMLstretchH,CHTMLchildNode:function(node,i){var types=[\"mjx-base\",\"mjx-sub\",\"mjx-sup\"];return 1===this.over&&(types[1]=types[2]),CHTML.getNode(node,types[i])}}),MML.mfrac.Augment({toCommonHTML:function(node){node=this.CHTMLdefaultNode(node,{childNodes:[\"mjx-numerator\",\"mjx-denominator\"],childOptions:{autowidth:!0},forceChild:!0,noBBox:!0,minChildren:2});var values=this.getValues(\"linethickness\",\"displaystyle\",\"numalign\",\"denomalign\",\"bevelled\"),isDisplay=values.displaystyle,num=node.firstChild,denom=node.lastChild,frac=CHTML.addElement(node,\"mjx-box\");frac.appendChild(num),frac.appendChild(denom),node.appendChild(frac),\"center\"!==values.numalign&&(num.style.textAlign=values.numalign),\"center\"!==values.denomalign&&(denom.style.textAlign=values.denomalign);var nbox=this.CHTMLbboxFor(0),dbox=this.CHTMLbboxFor(1),BBOX=CHTML.BBOX.empty(this.CHTML),nscale=nbox.rscale,dscale=dbox.rscale;values.linethickness=Math.max(0,CHTML.thickness2em(values.linethickness||\"0\",BBOX.scale));var mt=CHTML.TEX.min_rule_thickness/CHTML.em,a=CHTML.TEX.axis_height,t=values.linethickness,p,q,u,v;if(values.bevelled){frac.className+=\" MJXc-bevelled\";var delta=isDisplay?.4:.15,H=Math.max(nscale*(nbox.h+nbox.d),dscale*(dbox.h+dbox.d))+2*delta,bevel=CHTML.Element(\"mjx-bevel\");frac.insertBefore(bevel,denom);var bbox=CHTML.createDelimiter(bevel,47,H);u=nscale*(nbox.d-nbox.h)/2+a+delta,v=dscale*(dbox.d-dbox.h)/2+a-delta,u&&(num.style.verticalAlign=CHTML.Em(u/nscale)),v&&(denom.style.verticalAlign=CHTML.Em(v/dscale)),bevel.style.marginLeft=bevel.style.marginRight=CHTML.Em(-delta/2),BBOX.combine(nbox,0,u),BBOX.combine(bbox,nscale*nbox.w-delta/2,0),BBOX.combine(dbox,nscale*nbox.w+bbox.w-delta,v),BBOX.clean()}else{if(frac.className+=\" MJXc-stacked\",isDisplay?(u=CHTML.TEX.num1,v=CHTML.TEX.denom1):(u=0===t?CHTML.TEX.num3:CHTML.TEX.num2,v=CHTML.TEX.denom2),0===t)p=Math.max((isDisplay?7:3)*CHTML.TEX.rule_thickness,2*mt),(q=u-nbox.d*nscale-(dbox.h*dscale-v))H&&(q=(sbox.h+sbox.d-(H-t))/2),H=bbox.h+q+t;var x=this.CHTMLaddRoot(node,sbox,sbox.h+sbox.d-H);return base.style.paddingTop=CHTML.Em(q),base.style.borderTop=CHTML.Px(T*bbox.scale,1)+\" solid\",sqrt.style.paddingTop=CHTML.Em(2*t-T),bbox.h+=q+2*t,BBOX.combine(sbox,x,H-sbox.h),BBOX.combine(bbox,x+sbox.w,0),BBOX.clean(),node},CHTMLaddRoot:function(){return 0},CHTMLhandleBBox:function(node){var bbox=this.CHTMLbboxFor(0);delete bbox.pwidth,this.SUPER(arguments).CHTMLhandleBBox.apply(this,arguments)}}),MML.mroot.Augment({toCommonHTML:MML.msqrt.prototype.toCommonHTML,CHTMLhandleBBox:MML.msqrt.prototype.CHTMLhandleBBox,CHTMLaddRoot:function(sqrt,sbox,d){if(this.data[1]){var BBOX=this.CHTML,bbox=this.data[1].CHTML,root=sqrt.firstChild,scale=bbox.rscale,h=this.CHTMLrootHeight(bbox,sbox,scale)-d,w=Math.min(bbox.w,bbox.r),dx=Math.max(w,sbox.offset/scale);return h&&(root.style.verticalAlign=CHTML.Em(h/scale)),dx>w&&(root.firstChild.style.paddingLeft=CHTML.Em(dx-w)),dx-=sbox.offset/scale,root.style.width=CHTML.Em(dx),BBOX.combine(bbox,0,h),dx*scale}},CHTMLrootHeight:function(bbox,sbox,scale){return.45*(sbox.h+sbox.d-.9)+sbox.offset+Math.max(0,bbox.d-.075)}}),MML.mfenced.Augment({toCommonHTML:function(node){node=this.CHTMLcreateNode(node),this.CHTMLhandleStyle(node),this.CHTMLhandleScale(node),this.CHTMLaddChild(node,\"open\",{});for(var i=0,m=this.data.length;iCHTML.linebreakWidth||this.hasNewline())},CHTMLstretchV:function(h,d){return this.CHTMLstretchChildV(this.CoreIndex(),h,d),this.CHTML},CHTMLstretchH:function(node,w){return this.CHTMLstretchChildH(this.CoreIndex(),w,node),this.CHTML}}),MML.TeXAtom.Augment({toCommonHTML:function(node,options){if(options&&options.stretch||(node=this.CHTMLdefaultNode(node)),this.texClass===MML.TEXCLASS.VCENTER){var a=CHTML.TEX.axis_height,BBOX=this.CHTML,v=a-(BBOX.h+BBOX.d)/2+BBOX.d;Math.abs(v)>.001&&(node.style.verticalAlign=CHTML.Em(v),BBOX.h+=v,BBOX.t+=v,BBOX.d-=v,BBOX.b-=v)}return node},CHTMLstretchV:function(h,d){return this.CHTMLupdateFrom(this.Core().CHTMLstretchV(h,d)),this.toCommonHTML(this.CHTMLnodeElement(),{stretch:!0}),this.CHTML},CHTMLstretchH:function(node,w){return this.CHTMLupdateFrom(this.CHTMLstretchCoreH(node,w)),this.toCommonHTML(node,{stretch:!0}),this.CHTML}}),MML.semantics.Augment({toCommonHTML:function(node){return node=this.CHTMLcreateNode(node),this.data[0]&&(this.data[0].toCommonHTML(node),this.CHTMLupdateFrom(this.data[0].CHTML),this.CHTMLhandleBBox(node)),node}}),MML.annotation.Augment({toCommonHTML:function(node){return this.CHTMLcreateNode(node)}}),MML[\"annotation-xml\"].Augment({toCommonHTML:MML.mbase.CHTMLautoload}),MML.ms.Augment({toCommonHTML:MML.mbase.CHTMLautoload}),MML.mglyph.Augment({toCommonHTML:MML.mbase.CHTMLautoload}),MML.menclose.Augment({toCommonHTML:MML.mbase.CHTMLautoload}),MML.maction.Augment({toCommonHTML:MML.mbase.CHTMLautoload}),MML.mmultiscripts.Augment({toCommonHTML:MML.mbase.CHTMLautoload}),MML.mtable.Augment({toCommonHTML:MML.mbase.CHTMLautoload}),MathJax.Hub.Register.StartupHook(\"onLoad\",(function(){setTimeout(MathJax.Callback([\"loadComplete\",CHTML,\"jax.js\"]),0)}))})),MathJax.Hub.Register.StartupHook(\"End Cookie\",(function(){\"None\"!==HUB.config.menuSettings.zoom&&AJAX.Require(\"[MathJax]/extensions/MathZoom.js\")}))}(MathJax.Ajax,MathJax.Hub,MathJax.HTML,MathJax.OutputJax.CommonHTML),MathJax.Hub.Register.StartupHook(\"CommonHTML Jax Ready\",(function(){var VERSION=\"2.7.5\",MML=MathJax.ElementJax.mml,CHTML=MathJax.OutputJax.CommonHTML;MML[\"annotation-xml\"].Augment({toCommonHTML:function(node){var encoding=this.Get(\"encoding\");return node=this.CHTMLdefaultNode(node,{childOptions:{encoding:encoding}}),1!==this.CHTML.rscale&&this.CHTML.rescale(1/this.CHTML.rscale),node}}),MML.xml.Augment({toCommonHTML:function(node,options){for(var bbox=this.CHTML=CHTML.BBOX.zero(),i=0,m=this.data.length;ithis.data.length&&(this.selection=1);var hover=!!jax.hover;if(jax.Update(),hover){var span=document.getElementById(jax.inputID+\"-Span\");MathJax.Extension.MathEvents.Hover.Hover(jax,span)}return MathJax.Extension.MathEvents.Event.False(event)},CHTMLsetStatus:function(event){this.messageID=MathJax.Message.Set(this.data[1]&&this.data[1].isToken?this.data[1].data.join(\"\"):this.data[1].toString())},CHTMLclearStatus:function(event){this.messageID&&MathJax.Message.Clear(this.messageID,0),delete this.messageID},CHTMLtooltipOver:function(jax,event){event||(event=window.event),clear&&(clearTimeout(clear),clear=null),hover&&clearTimeout(hover);var x=event.pageX,y=event.pageY;null==x&&(x=event.clientX+document.body.scrollLeft+document.documentElement.scrollLeft,y=event.clientY+document.body.scrollTop+document.documentElement.scrollTop);var callback=MathJax.Callback([\"CHTMLtooltipPost\",this,jax,x+CONFIG.offsetX,y+CONFIG.offsetY]);hover=setTimeout(callback,CONFIG.delayPost)},CHTMLtooltipOut:function(jax,event){hover&&(clearTimeout(hover),hover=null),clear&&clearTimeout(clear);var callback=MathJax.Callback([\"CHTMLtooltipClear\",this,80]);clear=setTimeout(callback,CONFIG.delayClear)},CHTMLtooltipPost:function(jax,x,y){hover=null,clear&&(clearTimeout(clear),clear=null);var tip=this.CHTMLtooltip;if(tip.style.display=\"block\",tip.style.opacity=\"\",this!==currentTip){tip.style.left=x+\"px\",tip.style.top=y+\"px\",tip.innerHTML='BBOX.r&&(BBOX.r=BBOX.w),BBOX.h+=bb.T,BBOX.h>BBOX.t&&(BBOX.t=BBOX.h),BBOX.d+=bb.B,BBOX.d>BBOX.b&&(BBOX.b=BBOX.d),node},CHTMLnotation:{box:function(child,cbox,bb,p,t,SOLID){p-=t,child.style.padding=CHTML.Em(p),child.style.border=SOLID},roundedbox:function(child,cbox,bb,p,t,SOLID){var r=Math.min(cbox.w,cbox.h+cbox.d+2*p)/4;CHTML.addElement(child.parentNode,\"mjx-box\",{style:{padding:CHTML.Em(p-t),border:SOLID,\"border-radius\":CHTML.Em(r),height:CHTML.Em(cbox.h+cbox.d),\"vertical-align\":CHTML.Em(-bb.D),width:CHTML.Em(cbox.w),\"margin-left\":CHTML.Em(-bb.W)}})},circle:function(child,cbox,bb,p,t,SOLID){var H=bb.H,D=bb.D,W=bb.W,svg=this.CHTMLsvg(child,bb,t);this.CHTMLsvgElement(svg.firstChild,\"ellipse\",{rx:CHTML.Px(W/2-t/2),ry:CHTML.Px((H+D)/2-t/2),cx:CHTML.Px(W/2),cy:CHTML.Px((H+D)/2)})},left:function(child,cbox,bb,p,t,SOLID){child.style.borderLeft=SOLID,child.style.paddingLeft=CHTML.Em(p-t)},right:function(child,cbox,bb,p,t,SOLID){child.style.borderRight=SOLID,child.style.paddingRight=CHTML.Em(p-t)},top:function(child,cbox,bb,p,t,SOLID){child.style.borderTop=SOLID,child.style.paddingTop=CHTML.Em(p-t)},bottom:function(child,cbox,bb,p,t,SOLID){child.style.borderBottom=SOLID,child.style.paddingBottom=CHTML.Em(p-t)},actuarial:function(child,cbox,bb,p,t,SOLID){child.style.borderTop=child.style.borderRight=SOLID,child.style.paddingTop=child.style.paddingRight=CHTML.Em(p-t)},madruwb:function(child,cbox,bb,p,t,SOLID){child.style.borderBottom=child.style.borderRight=SOLID,child.style.paddingBottom=child.style.paddingRight=CHTML.Em(p-t)},verticalstrike:function(child,cbox,bb,p,t,SOLID){CHTML.addElement(child.parentNode,\"mjx-box\",{style:{\"border-left\":SOLID,height:CHTML.Em(bb.H+bb.D),\"vertical-align\":CHTML.Em(-bb.D),width:CHTML.Em(cbox.w/2+p-t/2),\"margin-left\":CHTML.Em(-cbox.w/2-p-t/2)}})},horizontalstrike:function(child,cbox,bb,p,t,SOLID){CHTML.addElement(child.parentNode,\"mjx-box\",{style:{\"border-top\":SOLID,height:CHTML.Em((bb.H+bb.D)/2-t/2),\"vertical-align\":CHTML.Em(-bb.D),width:CHTML.Em(bb.W),\"margin-left\":CHTML.Em(-bb.W)}})},updiagonalstrike:function(child,cbox,bb,p,t,SOLID){var H=bb.H,D=bb.D,W=bb.W,svg=this.CHTMLsvg(child,bb,t);this.CHTMLsvgElement(svg.firstChild,\"line\",{x1:CHTML.Px(t/2),y1:CHTML.Px(H+D-t),x2:CHTML.Px(W-t),y2:CHTML.Px(t/2)})},downdiagonalstrike:function(child,cbox,bb,p,t,SOLID){var H=bb.H,D=bb.D,W=bb.W,svg=this.CHTMLsvg(child,bb,t);this.CHTMLsvgElement(svg.firstChild,\"line\",{x1:CHTML.Px(t/2),y1:CHTML.Px(t/2),x2:CHTML.Px(W-t),y2:CHTML.Px(H+D-t)})},updiagonalarrow:function(child,cbox,bb,p,t,SOLID){var H=bb.H+bb.D-t,W=bb.W-t/2,a=Math.atan2(H,W)*(-180/Math.PI).toFixed(3),R=Math.sqrt(H*H+W*W),svg=this.CHTMLsvg(child,bb,t),g=this.CHTMLsvgElement(svg.firstChild,\"g\",{fill:\"currentColor\",transform:\"translate(\"+this.CHTMLpx(t/2)+\" \"+this.CHTMLpx(H+t/2)+\") rotate(\"+a+\")\"}),x=4*t,dx=1*t,y=2*t;this.CHTMLsvgElement(g,\"line\",{x1:CHTML.Px(t/2),y1:0,x2:CHTML.Px(R-x),y2:0}),this.CHTMLsvgElement(g,\"path\",{d:\"M \"+this.CHTMLpx(R-x)+\",0 L \"+this.CHTMLpx(R-x-dx)+\",\"+this.CHTMLpx(y)+\"L \"+this.CHTMLpx(R)+\",0 L \"+this.CHTMLpx(R-x-dx)+\",\"+this.CHTMLpx(-y),stroke:\"none\"})},phasorangle:function(child,cbox,bb,p,t,SOLID){var P=p,H=bb.H,D=bb.D;p=(H+D)/2;var W=bb.W+p-P;bb.W=W,bb.L=p,child.style.margin=\"0 0 0 \"+CHTML.Em(p-P);var svg=this.CHTMLsvg(child,bb,t);this.CHTMLsvgElement(svg.firstChild,\"path\",{d:\"M \"+this.CHTMLpx(p)+\",1 L 1,\"+this.CHTMLpx(H+D-t)+\" L \"+this.CHTMLpx(W)+\",\"+this.CHTMLpx(H+D-t)})},longdiv:function(child,cbox,bb,p,t,SOLID){bb.W+=1.5*p,bb.L+=1.5*p;var H=bb.H,D=bb.D,W=bb.W;child.style.margin=\"0 0 0 \"+CHTML.Em(1.5*p);var svg=this.CHTMLsvg(child,bb,t);this.CHTMLsvgElement(svg.firstChild,\"path\",{d:\"M \"+this.CHTMLpx(W)+\",1 L 1,1 a\"+this.CHTMLpx(p)+\",\"+this.CHTMLpx((H+D)/2-t/2)+\" 0 0,1 1,\"+this.CHTMLpx(H+D-1.5*t)})},radical:function(child,cbox,bb,p,t,SOLID){bb.W+=1.5*p,bb.L+=1.5*p;var H=bb.H,D=bb.D,W=bb.W;child.style.margin=\"0 0 0 \"+CHTML.Em(1.5*p);var svg=this.CHTMLsvg(child,bb,t);this.CHTMLsvgElement(svg.firstChild,\"path\",{d:\"M 1,\"+this.CHTMLpx(.6*(H+D))+\" L \"+this.CHTMLpx(p)+\",\"+this.CHTMLpx(H+D)+\" L \"+this.CHTMLpx(2*p)+\",1 L \"+this.CHTMLpx(W)+\",1\"})}},CHTMLpx:function(m){return m*=CHTML.em,Math.abs(m)<.1?\"0\":m.toFixed(1).replace(/\\.0$/,\"\")},CHTMLsvg:function(node,bbox,t){if(!svg){var svg=document.createElementNS(SVGNS,\"svg\");svg.style&&(svg.style.width=CHTML.Em(bbox.W),svg.style.height=CHTML.Em(bbox.H+bbox.D),svg.style.verticalAlign=CHTML.Em(-bbox.D),svg.style.marginLeft=CHTML.Em(-bbox.W)),this.CHTMLsvgElement(svg,\"g\",{\"stroke-width\":CHTML.Px(t)}),node.parentNode.appendChild(svg)}return svg},CHTMLsvgElement:function(svg,type,def){var obj=document.createElementNS(SVGNS,type);if(obj.isMathJax=!0,def)for(var id in def)def.hasOwnProperty(id)&&obj.setAttributeNS(null,id,def[id].toString());return svg.appendChild(obj),obj}}),document.createElementNS||delete MML.menclose.prototype.toCommonHTML,MathJax.Hub.Startup.signal.Post(\"CommonHTML menclose Ready\"),MathJax.Ajax.loadComplete(CHTML.autoloadDir+\"/menclose.js\")})),MathJax.Hub.Register.StartupHook(\"CommonHTML Jax Ready\",(function(){var VERSION=\"2.7.5\",MML=MathJax.ElementJax.mml,CHTML=MathJax.OutputJax.CommonHTML,LOCALE=MathJax.Localization;MML.mglyph.Augment({toCommonHTML:function(node,options){var values=this.getValues(\"src\",\"width\",\"height\",\"valign\",\"alt\");if(node=this.CHTMLcreateNode(node),this.CHTMLhandleStyle(node),this.CHTMLhandleScale(node),\"\"===values.src){var index=this.Get(\"index\");this.CHTMLgetVariant(),index&&this.CHTMLvariant.style&&this.CHTMLhandleText(node,String.fromCharCode(index),this.CHTMLvariant)}else{var bbox=this.CHTML;if(bbox.img||(bbox.img=MML.mglyph.GLYPH[values.src]),bbox.img||(bbox.img=MML.mglyph.GLYPH[values.src]={img:new Image,status:\"pending\"},bbox.img.img.onload=MathJax.Callback([\"CHTMLimgLoaded\",this]),bbox.img.img.onerror=MathJax.Callback([\"CHTMLimgError\",this]),bbox.img.img.src=values.src,MathJax.Hub.RestartAfter(bbox.img.img.onload)),\"OK\"!==bbox.img.status){var err=MML.Error(LOCALE._([\"MathML\",\"BadMglyph\"],\"Bad mglyph: %1\",values.src));err.data[0].data[0].mathsize=\"75%\",this.Append(err),err.toCommonHTML(node),this.data.pop(),bbox.combine(err.CHTML,0,0,1)}else{var img=CHTML.addElement(node,\"img\",{isMathJax:!0,src:values.src,alt:values.alt,title:values.alt}),w=values.width,h=values.height,W=bbox.img.img.width/CHTML.em,H=bbox.img.img.height/CHTML.em,WW=W,HH=H;\"\"!==w&&(W=this.CHTMLlength2em(w,WW),H=WW?W/WW*HH:0),\"\"!==h&&(H=this.CHTMLlength2em(h,HH),\"\"===w&&(W=HH?H/HH*WW:0)),img.style.width=CHTML.Em(W),bbox.w=bbox.r=W,img.style.height=CHTML.Em(H),bbox.h=bbox.t=H,values.valign&&(bbox.d=bbox.b=-this.CHTMLlength2em(values.valign,HH),img.style.verticalAlign=CHTML.Em(-bbox.d),bbox.h-=bbox.d,bbox.t=bbox.h)}}return this.CHTMLhandleSpace(node),this.CHTMLhandleBBox(node),this.CHTMLhandleColor(node),node},CHTMLimgLoaded:function(event,status){\"string\"==typeof event&&(status=event),this.CHTML.img.status=status||\"OK\"},CHTMLimgError:function(){this.CHTML.img.img.onload(\"error\")}},{GLYPH:{}}),MathJax.Hub.Startup.signal.Post(\"CommonHTML mglyph Ready\"),MathJax.Ajax.loadComplete(CHTML.autoloadDir+\"/mglyph.js\")})),MathJax.Hub.Register.StartupHook(\"CommonHTML Jax Ready\",(function(){var VERSION=\"2.7.5\",MML=MathJax.ElementJax.mml,CHTML=MathJax.OutputJax.CommonHTML;MML.mmultiscripts.Augment({toCommonHTML:function(node,options){var stretch=(options||{}).stretch,base,bbox;stretch||(node=this.CHTMLcreateNode(node),this.CHTMLhandleStyle(node),this.CHTMLgetVariant(),this.CHTMLhandleScale(node)),CHTML.BBOX.empty(this.CHTML),stretch?base=CHTML.getNode(node,\"mjx-base\"):(this.CHTMLaddChild(node,0,{type:\"mjx-base\",noBBox:!0,forceChild:!0}),base=node.firstChild),(bbox=this.CHTMLbboxFor(0)).ic&&(bbox.R-=bbox.ic,stretch||(base.style.marginRight=CHTML.Em(-bbox.ic)),delta=1.3*bbox.ic+.05);var BOX={},BBOX={};this.CHTMLgetScripts(BOX,BBOX,stretch,node);var sub=BOX.sub,sup=BOX.sup,presub=BOX.presub,presup=BOX.presup,sbox=BBOX.sub,Sbox=BBOX.sup,pbox=BBOX.presub,Pbox=BBOX.presup;stretch||this.CHTMLaddBoxes(node,base,BOX);var values=this.getValues(\"scriptlevel\",\"scriptsizemultiplier\"),sscale=this.Get(\"scriptlevel\")<3?values.scriptsizemultiplier:1,ex=CHTML.TEX.x_height,s=CHTML.TEX.scriptspace,q=CHTML.TEX.sup_drop*sscale,r=CHTML.TEX.sub_drop*sscale,u=bbox.h-q,v=bbox.d+r,delta=0,p,bmml=this.data[this.base];!bmml||\"mi\"!==bmml.type&&\"mo\"!==bmml.type||!CHTML.isChar(bmml.data.join(\"\"))||1!==bbox.rscale||bbox.sH||bmml.Get(\"largeop\")||(u=v=0),(values=this.getValues(\"displaystyle\",\"subscriptshift\",\"superscriptshift\",\"texprimestyle\")).subscriptshift=\"\"===values.subscriptshift?0:this.CHTMLlength2em(values.subscriptshift),values.superscriptshift=\"\"===values.superscriptshift?0:this.CHTMLlength2em(values.superscriptshift);var dx=presub?s+pbox.w:presup?s+Pbox.w-delta:0;this.CHTML.combine(bbox,dx,0);var x=this.CHTML.w;if(sup||presup)if(sub||presub){v=Math.max(v,CHTML.TEX.sub2);var t=CHTML.TEX.rule_thickness,h=(sbox||pbox).h,d=(Sbox||Pbox).d;presub&&(h=Math.max(h,pbox.h)),presup&&(d=Math.max(d,Pbox.d)),u-d-(h-v)<3*t&&(v=3*t-u+d+h,(q=.8*ex-(u-d))>0&&(u+=q,v-=q)),u=Math.max(u,values.superscriptshift),v=Math.max(v,values.subscriptshift),sup?sub?this.CHTMLplaceSubSup(sub,sbox,sup,Sbox,x,delta,u,v,s):this.CHTMLplaceSupOnly(sup,Sbox,x,delta,u,s):sub&&this.CHTMLplaceSubOnly(sub,sbox,x,v,s),presup?presub?this.CHTMLplacePresubPresup(presub,pbox,presup,Pbox,delta,u,v,s):this.CHTMLplacePresupOnly(presup,Pbox,delta,u,s):presub&&this.CHTMLplacePresubOnly(presub,pbox,v,s)}else p=CHTML.TEX[values.displaystyle?\"sup1\":values.texprimestyle?\"sup3\":\"sup2\"],u=Math.max(u,p,values.superscriptshift),sup&&(u=Math.max(u,Sbox.d+.25*ex)),presup&&(u=Math.max(u,Pbox.d+.25*ex)),sup&&this.CHTMLplaceSupOnly(sup,Sbox,x,delta,u,s),presup&&this.CHTMLplacePresupOnly(presup,Pbox,delta,u,s);else v=Math.max(v,CHTML.TEX.sub1,values.subscriptshift),sub&&(v=Math.max(v,sbox.h-.8*ex)),presub&&(v=Math.max(v,pbox.h-.8*ex)),sub&&this.CHTMLplaceSubOnly(sub,sbox,x,v,s),presub&&this.CHTMLplacePresubOnly(presub,pbox,v,s);return this.CHTML.clean(),this.CHTMLhandleSpace(node),this.CHTMLhandleBBox(node),this.CHTMLhandleColor(node),node},CHTMLgetScripts:function(BOX,BBOX,stretch,node){if(stretch)return BOX.sub=CHTML.getNode(node,\"mjx-sub\"),BOX.sup=CHTML.getNode(node,\"mjx-sup\"),BOX.presub=CHTML.getNode(node,\"mjx-presub\"),BOX.presup=CHTML.getNode(node,\"mjx-presup\"),BBOX.sub=this.CHTMLbbox.sub,BBOX.sup=this.CHTMLbbox.sup,BBOX.presub=this.CHTMLbbox.presub,void(BBOX.presup=this.CHTMLbbox.presup);this.CHTMLbbox=BBOX;for(var state={i:1,w:0,BOX:BOX,BBOX:BBOX},m=this.data.length,sub=\"sub\",sup=\"sup\";state.iJ&&(J=j));var cbox=row.data[j-s].CHTML;cbox.h>H[i]&&(H[i]=cbox.h),cbox.d>D[i]&&(D[i]=cbox.d),cbox.w>W[j]&&(W[j]=cbox.w)}}if(values.equalrows){state.HD=!0;var HH=Math.max.apply(Math,H),DD=Math.max.apply(Math,D);for(i=0,m=H.length;iM||n<=0)&&(n=null)):values.align=this.defaults.align;var T=0,B=0,a=CHTML.TEX.axis_height;values.fspace&&(T+=state.FSPACE[1]),values.frame&&(T+=2/CHTML.em,B+=1/CHTML.em);for(var i=0;i=n&&(B+=h+d+RSPACE[i]))}n||(B={top:T,bottom:0,center:T/2,baseline:T/2,axis:T/2-a}[values.align]),B&&(node.style.verticalAlign=CHTML.Em(-B)),state.T=T,state.B=B},CHTMLcolumnWidths:function(values,state,node){var CWIDTH=state.CWIDTH,CSPACE=state.CSPACE,J=state.J,j,WW=0,setWidths=!1,relWidth=values.width.match(/%$/),i,m,w;if(\"auto\"===values.width||relWidth||(WW=Math.max(0,this.CHTMLlength2em(values.width,state.R)),setWidths=!0),values.equalcolumns){if(relWidth){var p=CHTML.Percent(1/(J+1));for(j=0;j<=J;j++)CWIDTH[j]=p}else{if(w=Math.max.apply(Math,state.W),\"auto\"!==values.width){var S=values.fspace?state.FSPACE[0]+(values.frame?2/CHTML.em:0):0;for(j=0;j<=J;j++)S+=CSPACE[j];w=Math.max((WW-S)/(J+1),w)}for(w=CHTML.Em(w),j=0;j<=J;j++)CWIDTH[j]=w}setWidths=!0}var TW=0;values.fspace&&(TW=state.FSPACE[0]);var auto=[],fit=[],percent=[],W=[],row=state.rows[0];for(j=0;j<=J;j++)W[j]=state.W[j],\"auto\"===CWIDTH[j]?auto.push(j):\"fit\"===CWIDTH[j]?fit.push(j):CWIDTH[j].match(/%$/)?percent.push(j):W[j]=this.CHTMLlength2em(CWIDTH[j],W[j]),TW+=W[j]+CSPACE[j],row[j]&&(row[j].style.width=CHTML.Em(W[j]));values.frame&&(TW+=2/CHTML.em);var hasFit=fit.length>0;if(setWidths)if(relWidth)for(j=0;j<=J;j++)cell=row[j].style,\"auto\"!==CWIDTH[j]||hasFit?\"fit\"===CWIDTH[j]?cell.width=\"\":CWIDTH[j].match(/%$/)?cell.width=CWIDTH[j]:cell.minWidth=cell.maxWidth=cell.width:cell.width=\"\";else{if(WW>TW){var extra=0;for(i=0,m=percent.length;iTW&&fit.length){var dw=(WW-TW)/fit.length;for(i=0,m=fit.length;is*(shift+=s*dIndent)&&(shift=s*labelW),shift+=labelshift,tw+=shift*=s):(tw+=labelW-s*shift+dIndent,shift-=s*dIndent,shift*=-s);var box=CHTML.addElement(node,\"mjx-box\",{style:{width:\"100%\",\"text-align\":indent.indentalign}});box.appendChild(table);var labels=CHTML.Element(\"mjx-itable\");if(table.style.display=\"inline-table\",table.style.width||(table.style.width=\"auto\"),labels.style.verticalAlign=\"top\",table.style.verticalAlign=CHTML.Em(state.T-state.B-state.H[0]),node.style.verticalAlign=\"\",shift)if(indent.indentalign===MML.INDENTALIGN.CENTER)table.style.marginLeft=CHTML.Em(shift),table.style.marginRight=CHTML.Em(-shift);else{var margin=\"margin\"+(indent.indentalign===MML.INDENTALIGN.RIGHT?\"Right\":\"Left\");table.style[margin]=CHTML.Em(shift)}\"left\"===state.CALIGN[-1]?(node.insertBefore(labels,box),labels.style.marginRight=CHTML.Em(-state.W[-1]-labelshift),labelshift&&(labels.style.marginLeft=CHTML.Em(labelshift))):(node.appendChild(labels),labels.style.marginLeft=CHTML.Em(-state.W[-1]+labelshift));var LABELS=state.labels,T=0;values.fspace&&(T=state.FSPACE[0]+(values.frame?1/CHTML.em:0));for(var i=0,m=LABELS.length;i1&&(BBOX.h*=r,BBOX.d*=r)}}else BBOX.w=Math.max(BBOX.w,this.CHTMLlength2em(min,BBOX.w))}}return node}}),MathJax.Hub.Startup.signal.Post(\"CommonHTML mtable Ready\"),MathJax.Ajax.loadComplete(CHTML.autoloadDir+\"/mtable.js\")})),MathJax.Hub.Register.StartupHook(\"CommonHTML Jax Ready\",(function(){var VERSION=\"2.7.5\",MML=MathJax.ElementJax.mml,CONFIG=MathJax.Hub.config,CHTML=MathJax.OutputJax.CommonHTML,MO=MML.mo().With({CHTML:CHTML.BBOX.empty()}),PENALTY={newline:0,nobreak:1e6,goodbreak:[-200],badbreak:[200],auto:[0],maxwidth:1.33,toobig:800,nestfactor:400,spacefactor:-100,spaceoffset:2,spacelimit:1,fence:500,close:500},ENDVALUES={linebreakstyle:\"after\"};MML.mbase.Augment({CHTMLlinebreakPenalty:PENALTY,CHTMLmultiline:function(node){for(var parent=this;parent.inferred||parent.parent&&\"mrow\"===parent.parent.type&&parent.parent.isEmbellished();)parent=parent.parent;var isTop=\"math\"===parent.type&&\"block\"===parent.Get(\"display\")||\"mtd\"===parent.type;parent.isMultiline=!0;var VALUES=this.getValues(\"linebreak\",\"linebreakstyle\",\"lineleading\",\"linebreakmultchar\",\"indentalign\",\"indentshift\",\"indentalignfirst\",\"indentshiftfirst\",\"indentalignlast\",\"indentshiftlast\");VALUES.linebreakstyle===MML.LINEBREAKSTYLE.INFIXLINEBREAKSTYLE&&(VALUES.linebreakstyle=this.Get(\"infixlinebreakstyle\")),VALUES.lineleading=this.CHTMLlength2em(VALUES.lineleading,.5),CHTML.BBOX.empty(this.CHTML);for(var stack=CHTML.addElement(node,\"mjx-stack\"),state={BBOX:this.CHTML,n:0,Y:0,scale:this.CHTML.scale||1,isTop:isTop,values:{},VALUES:VALUES},align=this.CHTMLgetAlign(state,{}),shift=this.CHTMLgetShift(state,{},align),start=[],end={index:[],penalty:PENALTY.nobreak,w:0,W:shift,shift:shift,scanW:shift,nest:0},broken=!1;this.CHTMLbetterBreak(end,state,!0)&&(end.scanW>=CHTML.linebreakWidth||end.penalty===PENALTY.newline);)this.CHTMLaddLine(stack,start,end.index,state,end.values,broken),start=end.index.slice(0),broken=!0,align=this.CHTMLgetAlign(state,end.values),shift=this.CHTMLgetShift(state,end.values,align),end.W=end.shift=end.scanW=shift,end.penalty=PENALTY.nobreak;return state.isLast=!0,this.CHTMLaddLine(stack,start,[],state,ENDVALUES,broken),node.style.width=stack.style.width=this.CHTML.pwidth=\"100%\",this.CHTML.mwidth=CHTML.Em(this.CHTML.w),this.CHTML.isMultiline=parent.CHTML.isMultiline=!0,stack.style.verticalAlign=CHTML.Em(state.d-this.CHTML.d),node},CHTMLbetterBreak:function(info,state,toplevel){if(this.isToken)return!1;if(this.isEmbellished())return info.embellished=this,this.CoreMO().CHTMLbetterBreak(info,state);if(this.linebreakContainer)return!1;var index=info.index.slice(0),i=info.index.shift(),m=this.data.length,W,w,scanW,broken=info.index.length>0,better=!1;for(null==i&&(i=-1),broken||(i++,info.W+=info.w,info.w=0),scanW=info.scanW=info.W,info.nest++;i0){var LHD=CHTML.FONTDATA.baselineskip,leading=(null==state.values.lineleading?state.VALUES:state.values).lineleading*state.scale,Y=state.Y;state.Y-=Math.max(LHD,state.d+bbox.h+leading),dY=Y-state.Y-state.d-bbox.h}shift&&(line.style.margin=\"0 \"+CHTML.Em(-shift)+\" 0 \"+CHTML.Em(shift)),align!==MML.INDENTALIGN.LEFT&&(block.style.textAlign=align),dY&&(block.style.paddingTop=CHTML.Em(dY)),state.BBOX.combine(bbox,shift,state.Y),state.d=state.bbox.d,state.values=values,state.n++},CHTMLgetAlign:function(state,values){var cur=values,prev=state.values,def=state.VALUES,align;return(align=0===state.n?cur.indentalignfirst||prev.indentalignfirst||def.indentalignfirst:state.isLast?prev.indentalignlast||def.indentalignlast:prev.indentalign||def.indentalign)===MML.INDENTALIGN.INDENTALIGN&&(align=prev.indentalign||def.indentalign),align===MML.INDENTALIGN.AUTO&&(align=state.isTop?CONFIG.displayAlign:MML.INDENTALIGN.LEFT),align},CHTMLgetShift:function(state,values,align,noadjust){var cur=values,prev=state.values,def=state.VALUES,shift;if((shift=0===state.n?cur.indentshiftfirst||prev.indentshiftfirst||def.indentshiftfirst:state.isLast?prev.indentshiftlast||def.indentshiftlast:prev.indentshift||def.indentshift)===MML.INDENTSHIFT.INDENTSHIFT&&(shift=prev.indentshift||def.indentshift),\"auto\"!==shift&&\"\"!==shift||(shift=\"0\"),shift=this.CHTMLlength2em(shift,CHTML.cwidth),state.isTop&&\"0\"!==CONFIG.displayIndent){var indent=this.CHTMLlength2em(CONFIG.displayIndent,CHTML.cwidth);shift+=align===MML.INDENTALIGN.RIGHT?-indent:indent}return align!==MML.INDENTALIGN.RIGHT||noadjust?shift:-shift},CHTMLmoveLine:function(start,end,node,state,values){var i=start[0],j=end[0];if(null==i&&(i=-1),null==j&&(j=this.data.length-1),i===j&&start.length>1)this.data[i].CHTMLmoveSlice(start.slice(1),end.slice(1),node,state,values,\"marginLeft\");else{var last=state.last;for(state.last=!1;i0,better=!1;if(null==i&&(i=-1),broken||(i++,info.W+=info.w,info.w=0),scanW=info.scanW=info.W,info.nest++,!this.dataI){this.dataI=[],this.data.open&&this.dataI.push(\"open\"),m&&this.dataI.push(0);for(var j=1;j1)this.data[this.dataI[i]].CHTMLmoveSlice(start.slice(1),end.slice(1),node,state,values,\"marginLeft\");else{var last=state.last;state.last=!1;for(var k=this.dataI[i];i0,better=!1;return broken||(info.W+=info.w,info.w=0),scanW=info.scanW=info.W,null==i&&(this.CHTML.baseW=this.data[this.base].CHTML.w,this.CHTML.dw=this.CHTML.w-this.CHTML.baseW),this.data[this.base].CHTMLbetterBreak(info,state)&&(better=!0,index=[this.base].concat(info.index),W=info.W,w=info.w,info.penalty===PENALTY.newline&&(better=broken=!0)),broken||this.CHTMLaddWidth(this.base,info,scanW),info.scanW+=this.CHTML.dw,info.W=info.scanW,info.index=[],better&&(info.W=W,info.w=w,info.index=index),better},CHTMLmoveLine:function(start,end,node,state,values){if(this.data[this.base]){var base=CHTML.addElement(node,\"mjx-base\");start.length>1?this.data[this.base].CHTMLmoveSlice(start.slice(1),end.slice(1),base,state,values,\"marginLeft\"):end.length<=1?this.data[this.base].CHTMLmoveNode(base,state,values):this.data[this.base].CHTMLmoveSlice([],end.slice(1),base,state,values,\"marginRight\")}if(0===end.length){var NODE=this.CHTMLnodeElement(),stack=CHTML.getNode(NODE,\"mjx-stack\"),sup=CHTML.getNode(NODE,\"mjx-sup\"),sub=CHTML.getNode(NODE,\"mjx-sub\");stack?node.appendChild(stack):sup?node.appendChild(sup):sub&&node.appendChild(sub);var w=state.bbox.w,bbox;sup&&(bbox=this.data[this.sup].CHTML,state.bbox.combine(bbox,w,bbox.Y)),sub&&(bbox=this.data[this.sub].CHTML,state.bbox.combine(bbox,w,bbox.Y))}}}),MML.mmultiscripts.Augment({CHTMLbetterBreak:function(info,state){if(!this.data[this.base])return!1;var index=info.index.slice(0);info.index.shift();var W,w,scanW,broken=info.index.length>0,better=!1;broken||(info.W+=info.w,info.w=0),info.scanW=info.W;var bbox=this.CHTML,base=this.data[this.base].CHTML,dw=bbox.w-base.w-(bbox.X||0);return info.scanW+=bbox.X||0,scanW=info.scanW,this.data[this.base].CHTMLbetterBreak(info,state)&&(better=!0,index=[this.base].concat(info.index),W=info.W,w=info.w,info.penalty===PENALTY.newline&&(better=broken=!0)),broken||this.CHTMLaddWidth(this.base,info,scanW),info.scanW+=dw,info.W=info.scanW,info.index=[],better&&(info.W=W,info.w=w,info.index=index),better},CHTMLmoveLine:function(start,end,node,state,values){var NODE,BOX=this.CHTMLbbox,w;if(start.length<1){NODE=this.CHTMLnodeElement();var prestack=CHTML.getNode(NODE,\"mjx-prestack\"),presup=CHTML.getNode(NODE,\"mjx-presup\"),presub=CHTML.getNode(NODE,\"mjx-presub\");prestack?node.appendChild(prestack):presup?node.appendChild(presup):presub&&node.appendChild(presub),w=state.bbox.w,presup&&state.bbox.combine(BOX.presup,w+BOX.presup.X,BOX.presup.Y),presub&&state.bbox.combine(BOX.presub,w+BOX.presub.X,BOX.presub.Y)}if(this.data[this.base]){var base=CHTML.addElement(node,\"mjx-base\");start.length>1?this.data[this.base].CHTMLmoveSlice(start.slice(1),end.slice(1),base,state,values,\"marginLeft\"):end.length<=1?this.data[this.base].CHTMLmoveNode(base,state,values):this.data[this.base].CHTMLmoveSlice([],end.slice(1),base,state,values,\"marginRight\")}if(0===end.length){NODE=this.CHTMLnodeElement();var stack=CHTML.getNode(NODE,\"mjx-stack\"),sup=CHTML.getNode(NODE,\"mjx-sup\"),sub=CHTML.getNode(NODE,\"mjx-sub\");stack?node.appendChild(stack):sup?node.appendChild(sup):sub&&node.appendChild(sub),w=state.bbox.w,sup&&state.bbox.combine(BOX.sup,w,BOX.sup.Y),sub&&state.bbox.combine(BOX.sub,w,BOX.sub.Y)}}}),MML.mo.Augment({CHTMLbetterBreak:function(info,state){if(info.values&&info.values.id===this.CHTMLnodeID)return!1;var values=this.getValues(\"linebreak\",\"linebreakstyle\",\"lineleading\",\"linebreakmultchar\",\"indentalign\",\"indentshift\",\"indentalignfirst\",\"indentshiftfirst\",\"indentalignlast\",\"indentshiftlast\",\"texClass\",\"fence\");values.linebreakstyle===MML.LINEBREAKSTYLE.INFIXLINEBREAKSTYLE&&(values.linebreakstyle=this.Get(\"infixlinebreakstyle\")),values.texClass===MML.TEXCLASS.OPEN&&info.nest++,values.texClass===MML.TEXCLASS.CLOSE&&info.nest&&info.nest--;var W=info.scanW;delete info.embellished;var w=this.CHTML.w+(this.CHTML.L||0)+(this.CHTML.R||0);if(values.linebreakstyle===MML.LINEBREAKSTYLE.AFTER&&(W+=w,w=0),W-info.shift==0&&values.linebreak!==MML.LINEBREAK.NEWLINE)return!1;var offset=CHTML.linebreakWidth-W;if(0===state.n&&(values.indentshiftfirst!==state.VALUES.indentshiftfirst||values.indentalignfirst!==state.VALUES.indentalignfirst)){var align=this.CHTMLgetAlign(state,values),shift=this.CHTMLgetShift(state,values,align);offset+=info.shift-shift}var penalty=Math.floor(offset/CHTML.linebreakWidth*1e3);penalty<0&&(penalty=PENALTY.toobig-3*penalty),values.fence&&(penalty+=PENALTY.fence),(values.linebreakstyle===MML.LINEBREAKSTYLE.AFTER&&values.texClass===MML.TEXCLASS.OPEN||values.texClass===MML.TEXCLASS.CLOSE)&&(penalty+=PENALTY.close),penalty+=info.nest*PENALTY.nestfactor;var linebreak=PENALTY[values.linebreak||MML.LINEBREAK.AUTO]||0;return MathJax.Object.isArray(linebreak)?penalty=Math.max(1,penalty+linebreak[0]*info.nest):(linebreak||offset>=0)&&(penalty=linebreak*info.nest),!(penalty>=info.penalty)&&(info.penalty=penalty,info.values=values,info.W=W,info.w=w,values.lineleading=this.CHTMLlength2em(values.lineleading,state.VALUES.lineleading),values.id=this.CHTMLnodeID,!0)}}),MML.mspace.Augment({CHTMLbetterBreak:function(info,state){if(info.values&&info.values.id===this.CHTMLnodeID)return!1;var values=this.getValues(\"linebreak\"),linebreakValue=values.linebreak;linebreakValue&&!this.hasDimAttr()||(linebreakValue=MML.LINEBREAK.AUTO);var W=info.scanW,w=this.CHTML.w+(this.CHTML.L||0)+(this.CHTML.R||0);if(W-info.shift==0)return!1;var offset=CHTML.linebreakWidth-W,penalty=Math.floor(offset/CHTML.linebreakWidth*1e3);penalty<0&&(penalty=PENALTY.toobig-3*penalty),penalty+=info.nest*PENALTY.nestfactor;var linebreak=PENALTY[linebreakValue]||0;return linebreakValue===MML.LINEBREAK.AUTO&&w>=PENALTY.spacelimit&&!this.mathbackground&&!this.background&&(linebreak=[(w+PENALTY.spaceoffset)*PENALTY.spacefactor]),MathJax.Object.isArray(linebreak)?penalty=Math.max(1,penalty+linebreak[0]*info.nest):(linebreak||offset>=0)&&(penalty=linebreak*info.nest),!(penalty>=info.penalty)&&(info.penalty=penalty,info.values=values,info.W=W,info.w=w,values.lineleading=state.VALUES.lineleading,values.linebreakstyle=\"before\",values.id=this.CHTMLnodeID,!0)}}),MathJax.Hub.Register.StartupHook(\"TeX mathchoice Ready\",(function(){MML.TeXmathchoice.Augment({CHTMLbetterBreak:function(info,state){return this.Core().CHTMLbetterBreak(info,state)},CHTMLmoveLine:function(start,end,node,state,values){return this.Core().CHTMLmoveSlice(start,end,node,state,values)}})})),MML.maction.Augment({CHTMLbetterBreak:function(info,state){return this.Core().CHTMLbetterBreak(info,state)},CHTMLmoveLine:function(start,end,node,state,values){return this.Core().CHTMLmoveSlice(start,end,node,state,values)}}),MML.semantics.Augment({CHTMLbetterBreak:function(info,state){return!!this.data[0]&&this.data[0].CHTMLbetterBreak(info,state)},CHTMLmoveLine:function(start,end,node,state,values){return this.data[0]?this.data[0].CHTMLmoveSlice(start,end,node,state,values):null}}),MathJax.Hub.Startup.signal.Post(\"CommonHTML multiline 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version=\\x221.\\\n0\\x22 encoding=\\x22UTF\\\n-8\\x22 standalone=\\x22\\\nno\\x22?>\\x0a\\x0a \\x0a \\x0a \\x0a \\\n i\\\nmage/svg+xml\\x0a \\\n \\\n \\x0a \\\n \\x0a \\\n \\x0a \\x0a \\x0a \\\n\\x0a \\x0a \\x0a\\x0a \\x0a\\\n\\x0a ![\"KaTeX\"](\"https://khan.github.io/KaTeX/katex-logo.svg\"){kind=logo}
](https://khan.github.io/KaTeX/) [](https://travis-ci.org/Khan/KaTeX)\n\n[](https://gitter.im/Khan/KaTeX?utm_source=badge&utm_medium=badge&utm_campaign=pr-badge&utm_content=badge)\n\nKaTeX is a fast, easy-to-use JavaScript library for TeX math rendering on the web.\n\n * **Fast:** KaTeX renders its math synchronously and doesn't need to reflow the page. See how it compares to a competitor in [this speed test](http://jsperf.com/katex-vs-mathjax/).\n * **Print quality:** KaTeX’s layout is based on Donald Knuth’s TeX, the gold standard for math typesetting.\n * **Self contained:** KaTeX has no dependencies and can easily be bundled with your website resources.\n * **Server side rendering:** KaTeX produces the same output regardless of browser or environment, so you can pre-render expressions using Node.js and send them as plain HTML.\n\nKaTeX supports all major browsers, including Chrome, Safari, Firefox, Opera, and IE 8 - IE 11. A list of supported commands can be on the [wiki](https://github.com/Khan/KaTeX/wiki/Function-Support-in-KaTeX).\n\n## Usage\n\nYou can [download KaTeX](https://github.com/khan/katex/releases) and host it on your server or include the `katex.min.js` and `katex.min.css` files on your page directly from a CDN:\n\n```html\n\n\n```\n\n#### In-browser rendering\n\nCall `katex.render` with a TeX expression and a DOM element to render into:\n\n```js\nkatex.render(\"c = \\\\pm\\\\sqrt{a^2 + b^2}\", element);\n```\n\nIf KaTeX can't parse the expression, it throws a `katex.ParseError` error.\n\n#### Server side rendering or rendering to a string\n\nTo generate HTML on the server or to generate an HTML string of the rendered math, you can use `katex.renderToString`:\n\n```js\nvar html = katex.renderToString(\"c = \\\\pm\\\\sqrt{a^2 + b^2}\");\n// '...'\n```\n\nMake sure to include the CSS and font files, but there is no need to include the JavaScript. Like `render`, `renderToString` throws if it can't parse the expression.\n\n#### Rendering options\n\nYou can provide an object of options as the last argument to `katex.render` and `katex.renderToString`. Available options are:\n\n- `displayMode`: `boolean`. If `true` the math will be rendered in display mode, which will put the math in display style (so `\\int` and `\\sum` are large, for example), and will center the math on the page on its own line. If `false` the math will be rendered in inline mode. (default: `false`)\n- `throwOnError`: `boolean`. If `true`, KaTeX will throw a `ParseError` when it encounters an unsupported command. If `false`, KaTeX will render the unsupported command as text in the color given by `errorColor`. (default: `true`)\n- `errorColor`: `string`. A color string given in the format `\"#XXX\"` or `\"#XXXXXX\"`. This option determines the color which unsupported commands are rendered in. (default: `#cc0000`)\n\nFor example:\n\n```js\nkatex.render(\"c = \\\\pm\\\\sqrt{a^2 + b^2}\", element, { displayMode: true });\n```\n\n#### Automatic rendering of math on a page\n\nMath on the page can be automatically rendered using the auto-render extension. See [the Auto-render README](contrib/auto-render/README.md) for more information.\n\n## Contributing\n\nSee [CONTRIBUTING.md](CONTRIBUTING.md)\n\n## License\n\nKaTeX is licensed under the [MIT License](http://opensource.org/licenses/MIT).\n"
},
{
"path": "pix2tex/dataset/preprocessing/third_party/katex/cli.js",
"content": "#!/usr/bin/env node\n// Simple CLI for KaTeX.\n// Reads TeX from stdin, outputs HTML to stdout.\n/* eslint no-console:0 */\n\nvar katex = require(\"./\");\nvar input = \"\";\n\n// Skip the first two args, which are just \"node\" and \"cli.js\"\nvar args = process.argv.slice(2);\n\nif (args.indexOf(\"--help\") !== -1) {\n console.log(process.argv[0] + \" \" + process.argv[1] +\n \" [ --help ]\" +\n \" [ --display-mode ]\");\n\n console.log(\"\\n\" +\n \"Options:\");\n console.log(\" --help Display this help message\");\n console.log(\" --display-mode Render in display mode (not inline mode)\");\n process.exit();\n}\n\nprocess.stdin.on(\"data\", function(chunk) {\n input += chunk.toString();\n});\n\nprocess.stdin.on(\"end\", function() {\n var options = { displayMode: args.indexOf(\"--display-mode\") !== -1 };\n var output = katex.renderToString(input, options);\n console.log(output);\n});\n"
},
{
"path": "pix2tex/dataset/preprocessing/third_party/katex/katex.js",
"content": "/* eslint no-console:0 */\n/**\n * This is the main entry point for KaTeX. Here, we expose functions for\n * rendering expressions either to DOM nodes or to markup strings.\n *\n * We also expose the ParseError class to check if errors thrown from KaTeX are\n * errors in the expression, or errors in javascript handling.\n */\n\nvar ParseError = require(\"./src/ParseError\");\nvar Settings = require(\"./src/Settings\");\n\nvar buildTree = require(\"./src/buildTree\");\nvar parseTree = require(\"./src/parseTree\");\nvar utils = require(\"./src/utils\");\n\n/**\n * Parse and build an expression, and place that expression in the DOM node\n * given.\n */\nvar render = function(expression, baseNode, options) {\n utils.clearNode(baseNode);\n\n var settings = new Settings(options);\n\n var tree = parseTree(expression, settings);\n var node = buildTree(tree, expression, settings).toNode();\n\n baseNode.appendChild(node);\n};\n\n// KaTeX's styles don't work properly in quirks mode. Print out an error, and\n// disable rendering.\nif (typeof document !== \"undefined\") {\n if (document.compatMode !== \"CSS1Compat\") {\n typeof console !== \"undefined\" && console.warn(\n \"Warning: KaTeX doesn't work in quirks mode. Make sure your \" +\n \"website has a suitable doctype.\");\n\n render = function() {\n throw new ParseError(\"KaTeX doesn't work in quirks mode.\");\n };\n }\n}\n\n/**\n * Parse and build an expression, and return the markup for that.\n */\nvar renderToString = function(expression, options) {\n var settings = new Settings(options);\n\n var tree = parseTree(expression, settings);\n return buildTree(tree, expression, settings).toMarkup();\n};\n\n/**\n * Parse an expression and return the parse tree.\n */\nvar generateParseTree = function(expression, options) {\n var settings = new Settings(options);\n return parseTree(expression, settings);\n};\n\nmodule.exports = {\n render: render,\n renderToString: renderToString,\n /**\n * NOTE: This method is not currently recommended for public use.\n * The internal tree representation is unstable and is very likely\n * to change. Use at your own risk.\n */\n __parse: generateParseTree,\n ParseError: ParseError,\n};\n"
},
{
"path": "pix2tex/dataset/preprocessing/third_party/katex/package.json",
"content": "{\n \"_args\": [\n [\n \"katex\",\n \"/home/srush/Projects/im2latex\"\n ]\n ],\n \"_from\": \"katex@latest\",\n \"_id\": \"katex@0.6.0\",\n \"_inCache\": true,\n \"_installable\": true,\n \"_location\": \"/katex\",\n \"_nodeVersion\": \"4.2.1\",\n \"_npmOperationalInternal\": {\n \"host\": \"packages-12-west.internal.npmjs.com\",\n \"tmp\": \"tmp/katex-0.6.0.tgz_1460769444991_0.38667152682319283\"\n },\n \"_npmUser\": {\n \"email\": \"kevinb7@gmail.com\",\n \"name\": \"kevinbarabash\"\n },\n \"_npmVersion\": \"2.15.2\",\n \"_phantomChildren\": {},\n \"_requested\": {\n \"name\": \"katex\",\n \"raw\": \"katex\",\n \"rawSpec\": \"\",\n \"scope\": null,\n \"spec\": \"latest\",\n \"type\": \"tag\"\n },\n \"_requiredBy\": [\n \"#USER\"\n ],\n \"_resolved\": \"https://registry.npmjs.org/katex/-/katex-0.6.0.tgz\",\n \"_shasum\": \"12418e09121c05c92041b6b3b9fb6bab213cb6f3\",\n \"_shrinkwrap\": null,\n \"_spec\": \"katex\",\n \"_where\": \"/home/srush/Projects/im2latex\",\n \"bin\": {\n \"katex\": \"cli.js\"\n },\n \"bugs\": {\n \"url\": \"https://github.com/Khan/KaTeX/issues\"\n },\n \"dependencies\": {\n \"match-at\": \"^0.1.0\"\n },\n \"description\": \"Fast math typesetting for the web.\",\n \"devDependencies\": {\n \"browserify\": \"^10.2.4\",\n \"clean-css\": \"~2.2.15\",\n \"eslint\": \"^1.10.2\",\n \"express\": \"~3.3.3\",\n \"glob\": \"^5.0.15\",\n \"jasmine\": \"^2.3.2\",\n \"jasmine-core\": \"^2.3.4\",\n \"js-yaml\": \"^3.3.1\",\n \"jspngopt\": \"^0.1.0\",\n \"less\": \"~1.7.5\",\n \"nomnom\": \"^1.8.1\",\n \"pako\": \"0.2.7\",\n \"selenium-webdriver\": \"^2.46.1\",\n \"uglify-js\": \"~2.4.15\"\n },\n \"directories\": {},\n \"dist\": {\n \"shasum\": \"12418e09121c05c92041b6b3b9fb6bab213cb6f3\",\n \"tarball\": \"https://registry.npmjs.org/katex/-/katex-0.6.0.tgz\"\n },\n \"files\": [\n \"cli.js\",\n \"dist/\",\n \"katex.js\",\n \"src/\"\n ],\n \"gitHead\": \"b94fc6534d5c23f944906a52a592bee4e0090665\",\n \"homepage\": \"https://github.com/Khan/KaTeX#readme\",\n \"license\": \"MIT\",\n \"main\": \"katex.js\",\n \"maintainers\": [\n {\n \"name\": \"kevinbarabash\",\n \"email\": \"kevinb7@gmail.com\"\n },\n {\n \"name\": \"spicyj\",\n \"email\": \"ben@benalpert.com\"\n },\n {\n \"name\": \"xymostech\",\n \"email\": \"xymostech@gmail.com\"\n }\n ],\n \"name\": \"katex\",\n \"optionalDependencies\": {},\n \"readme\": \"ERROR: No README data found!\",\n \"repository\": {\n \"type\": \"git\",\n \"url\": \"git://github.com/Khan/KaTeX.git\"\n },\n \"scripts\": {\n \"prepublish\": \"make dist\",\n \"start\": \"node server.js\",\n \"test\": \"make lint test\"\n },\n \"version\": \"0.6.0\"\n}\n"
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{
"path": "pix2tex/dataset/preprocessing/third_party/katex/src/Lexer.js",
"content": "/**\n * The Lexer class handles tokenizing the input in various ways. Since our\n * parser expects us to be able to backtrack, the lexer allows lexing from any\n * given starting point.\n *\n * Its main exposed function is the `lex` function, which takes a position to\n * lex from and a type of token to lex. It defers to the appropriate `_innerLex`\n * function.\n *\n * The various `_innerLex` functions perform the actual lexing of different\n * kinds.\n */\n\nvar matchAt = require(\"../../match-at\");\n\nvar ParseError = require(\"./ParseError\");\n\n// The main lexer class\nfunction Lexer(input) {\n this._input = input;\n}\n\n// The resulting token returned from `lex`.\nfunction Token(text, data, position) {\n this.text = text;\n this.data = data;\n this.position = position;\n}\n\n/* The following tokenRegex\n * - matches typical whitespace (but not NBSP etc.) using its first group\n * - matches symbol combinations which result in a single output character\n * - does not match any control character \\x00-\\x1f except whitespace\n * - does not match a bare backslash\n * - matches any ASCII character except those just mentioned\n * - does not match the BMP private use area \\uE000-\\uF8FF\n * - does not match bare surrogate code units\n * - matches any BMP character except for those just described\n * - matches any valid Unicode surrogate pair\n * - matches a backslash followed by one or more letters\n * - matches a backslash followed by any BMP character, including newline\n * Just because the Lexer matches something doesn't mean it's valid input:\n * If there is no matching function or symbol definition, the Parser will\n * still reject the input.\n */\nvar tokenRegex = new RegExp(\n \"([ \\r\\n\\t]+)|(\" + // whitespace\n \"---?\" + // special combinations\n \"|[!-\\\\[\\\\]-\\u2027\\u202A-\\uD7FF\\uF900-\\uFFFF]\" + // single codepoint\n \"|[\\uD800-\\uDBFF][\\uDC00-\\uDFFF]\" + // surrogate pair\n \"|\\\\\\\\(?:[a-zA-Z]+|[^\\uD800-\\uDFFF])\" + // function name\n \")\"\n);\n\nvar whitespaceRegex = /\\s*/;\n\n/**\n * This function lexes a single normal token. It takes a position and\n * whether it should completely ignore whitespace or not.\n */\nLexer.prototype._innerLex = function(pos, ignoreWhitespace) {\n var input = this._input;\n if (pos === input.length) {\n return new Token(\"EOF\", null, pos);\n }\n var match = matchAt(tokenRegex, input, pos);\n if (match === null) {\n throw new ParseError(\n \"Unexpected character: '\" + input[pos] + \"'\",\n this, pos);\n } else if (match[2]) { // matched non-whitespace\n return new Token(match[2], null, pos + match[2].length);\n } else if (ignoreWhitespace) {\n return this._innerLex(pos + match[1].length, true);\n } else { // concatenate whitespace to a single space\n return new Token(\" \", null, pos + match[1].length);\n }\n};\n\n// A regex to match a CSS color (like #ffffff or BlueViolet)\nvar cssColor = /#[a-z0-9]+|[a-z]+/i;\n\n/**\n * This function lexes a CSS color.\n */\nLexer.prototype._innerLexColor = function(pos) {\n var input = this._input;\n\n // Ignore whitespace\n var whitespace = matchAt(whitespaceRegex, input, pos)[0];\n pos += whitespace.length;\n\n var match;\n if ((match = matchAt(cssColor, input, pos))) {\n // If we look like a color, return a color\n return new Token(match[0], null, pos + match[0].length);\n } else {\n throw new ParseError(\"Invalid color\", this, pos);\n }\n};\n\n// A regex to match a dimension. Dimensions look like\n// \"1.2em\" or \".4pt\" or \"1 ex\"\nvar sizeRegex = /(-?)\\s*(\\d+(?:\\.\\d*)?|\\.\\d+)\\s*([a-z]{2})/;\n\n/**\n * This function lexes a dimension.\n */\nLexer.prototype._innerLexSize = function(pos) {\n var input = this._input;\n\n // Ignore whitespace\n var whitespace = matchAt(whitespaceRegex, input, pos)[0];\n pos += whitespace.length;\n\n var match;\n if ((match = matchAt(sizeRegex, input, pos))) {\n var unit = match[3];\n // We only currently handle \"em\" and \"ex\" units\n // if (unit !== \"em\" && unit !== \"ex\") {\n // throw new ParseError(\"Invalid unit: '\" + unit + \"'\", this, pos);\n // }\n return new Token(match[0], {\n number: +(match[1] + match[2]),\n unit: unit,\n }, pos + match[0].length);\n }\n\n throw new ParseError(\"Invalid size\", this, pos);\n};\n\n/**\n * This function lexes a string of whitespace.\n */\nLexer.prototype._innerLexWhitespace = function(pos) {\n var input = this._input;\n\n var whitespace = matchAt(whitespaceRegex, input, pos)[0];\n pos += whitespace.length;\n\n return new Token(whitespace[0], null, pos);\n};\n\n/**\n * This function lexes a single token starting at `pos` and of the given mode.\n * Based on the mode, we defer to one of the `_innerLex` functions.\n */\nLexer.prototype.lex = function(pos, mode) {\n if (mode === \"math\") {\n return this._innerLex(pos, true);\n } else if (mode === \"text\") {\n return this._innerLex(pos, false);\n } else if (mode === \"color\") {\n return this._innerLexColor(pos);\n } else if (mode === \"size\") {\n return this._innerLexSize(pos);\n } else if (mode === \"whitespace\") {\n return this._innerLexWhitespace(pos);\n }\n};\n\nmodule.exports = Lexer;\n"
},
{
"path": "pix2tex/dataset/preprocessing/third_party/katex/src/Options.js",
"content": "/**\n * This file contains information about the options that the Parser carries\n * around with it while parsing. Data is held in an `Options` object, and when\n * recursing, a new `Options` object can be created with the `.with*` and\n * `.reset` functions.\n */\n\n/**\n * This is the main options class. It contains the style, size, color, and font\n * of the current parse level. It also contains the style and size of the parent\n * parse level, so size changes can be handled efficiently.\n *\n * Each of the `.with*` and `.reset` functions passes its current style and size\n * as the parentStyle and parentSize of the new options class, so parent\n * handling is taken care of automatically.\n */\nfunction Options(data) {\n this.style = data.style;\n this.color = data.color;\n this.size = data.size;\n this.phantom = data.phantom;\n this.font = data.font;\n\n if (data.parentStyle === undefined) {\n this.parentStyle = data.style;\n } else {\n this.parentStyle = data.parentStyle;\n }\n\n if (data.parentSize === undefined) {\n this.parentSize = data.size;\n } else {\n this.parentSize = data.parentSize;\n }\n}\n\n/**\n * Returns a new options object with the same properties as \"this\". Properties\n * from \"extension\" will be copied to the new options object.\n */\nOptions.prototype.extend = function(extension) {\n var data = {\n style: this.style,\n size: this.size,\n color: this.color,\n parentStyle: this.style,\n parentSize: this.size,\n phantom: this.phantom,\n font: this.font,\n };\n\n for (var key in extension) {\n if (extension.hasOwnProperty(key)) {\n data[key] = extension[key];\n }\n }\n\n return new Options(data);\n};\n\n/**\n * Create a new options object with the given style.\n */\nOptions.prototype.withStyle = function(style) {\n return this.extend({\n style: style,\n });\n};\n\n/**\n * Create a new options object with the given size.\n */\nOptions.prototype.withSize = function(size) {\n return this.extend({\n size: size,\n });\n};\n\n/**\n * Create a new options object with the given color.\n */\nOptions.prototype.withColor = function(color) {\n return this.extend({\n color: color,\n });\n};\n\n/**\n * Create a new options object with \"phantom\" set to true.\n */\nOptions.prototype.withPhantom = function() {\n return this.extend({\n phantom: true,\n });\n};\n\n/**\n * Create a new options objects with the give font.\n */\nOptions.prototype.withFont = function(font) {\n return this.extend({\n font: font,\n });\n};\n\n/**\n * Create a new options object with the same style, size, and color. This is\n * used so that parent style and size changes are handled correctly.\n */\nOptions.prototype.reset = function() {\n return this.extend({});\n};\n\n/**\n * A map of color names to CSS colors.\n * TODO(emily): Remove this when we have real macros\n */\nvar colorMap = {\n \"katex-blue\": \"#6495ed\",\n \"katex-orange\": \"#ffa500\",\n \"katex-pink\": \"#ff00af\",\n \"katex-red\": \"#df0030\",\n \"katex-green\": \"#28ae7b\",\n \"katex-gray\": \"gray\",\n \"katex-purple\": \"#9d38bd\",\n \"katex-blueA\": \"#c7e9f1\",\n \"katex-blueB\": \"#9cdceb\",\n \"katex-blueC\": \"#58c4dd\",\n \"katex-blueD\": \"#29abca\",\n \"katex-blueE\": \"#1c758a\",\n \"katex-tealA\": \"#acead7\",\n \"katex-tealB\": \"#76ddc0\",\n \"katex-tealC\": \"#5cd0b3\",\n \"katex-tealD\": \"#55c1a7\",\n \"katex-tealE\": \"#49a88f\",\n \"katex-greenA\": \"#c9e2ae\",\n \"katex-greenB\": \"#a6cf8c\",\n \"katex-greenC\": \"#83c167\",\n \"katex-greenD\": \"#77b05d\",\n \"katex-greenE\": \"#699c52\",\n \"katex-goldA\": \"#f7c797\",\n \"katex-goldB\": \"#f9b775\",\n \"katex-goldC\": \"#f0ac5f\",\n \"katex-goldD\": \"#e1a158\",\n \"katex-goldE\": \"#c78d46\",\n \"katex-redA\": \"#f7a1a3\",\n \"katex-redB\": \"#ff8080\",\n \"katex-redC\": \"#fc6255\",\n \"katex-redD\": \"#e65a4c\",\n \"katex-redE\": \"#cf5044\",\n \"katex-maroonA\": \"#ecabc1\",\n \"katex-maroonB\": \"#ec92ab\",\n \"katex-maroonC\": \"#c55f73\",\n \"katex-maroonD\": \"#a24d61\",\n \"katex-maroonE\": \"#94424f\",\n \"katex-purpleA\": \"#caa3e8\",\n \"katex-purpleB\": \"#b189c6\",\n \"katex-purpleC\": \"#9a72ac\",\n \"katex-purpleD\": \"#715582\",\n \"katex-purpleE\": \"#644172\",\n \"katex-mintA\": \"#f5f9e8\",\n \"katex-mintB\": \"#edf2df\",\n \"katex-mintC\": \"#e0e5cc\",\n \"katex-grayA\": \"#fdfdfd\",\n \"katex-grayB\": \"#f7f7f7\",\n \"katex-grayC\": \"#eeeeee\",\n \"katex-grayD\": \"#dddddd\",\n \"katex-grayE\": \"#cccccc\",\n \"katex-grayF\": \"#aaaaaa\",\n \"katex-grayG\": \"#999999\",\n \"katex-grayH\": \"#555555\",\n \"katex-grayI\": \"#333333\",\n \"katex-kaBlue\": \"#314453\",\n \"katex-kaGreen\": \"#639b24\",\n};\n\n/**\n * Gets the CSS color of the current options object, accounting for the\n * `colorMap`.\n */\nOptions.prototype.getColor = function() {\n if (this.phantom) {\n return \"transparent\";\n } else {\n return colorMap[this.color] || this.color;\n }\n};\n\nmodule.exports = Options;\n"
},
{
"path": "pix2tex/dataset/preprocessing/third_party/katex/src/ParseError.js",
"content": "/**\n * This is the ParseError class, which is the main error thrown by KaTeX\n * functions when something has gone wrong. This is used to distinguish internal\n * errors from errors in the expression that the user provided.\n */\nfunction ParseError(message, lexer, position) {\n var error = \"KaTeX parse error: \" + message;\n\n if (lexer !== undefined && position !== undefined) {\n // If we have the input and a position, make the error a bit fancier\n\n // Prepend some information\n error += \" at position \" + position + \": \";\n\n // Get the input\n var input = lexer._input;\n // Insert a combining underscore at the correct position\n input = input.slice(0, position) + \"\\u0332\" +\n input.slice(position);\n\n // Extract some context from the input and add it to the error\n var begin = Math.max(0, position - 15);\n var end = position + 15;\n error += input.slice(begin, end);\n }\n\n // Some hackery to make ParseError a prototype of Error\n // See http://stackoverflow.com/a/8460753\n var self = new Error(error);\n self.name = \"ParseError\";\n self.__proto__ = ParseError.prototype;\n\n self.position = position;\n return self;\n}\n\n// More hackery\nParseError.prototype.__proto__ = Error.prototype;\n\nmodule.exports = ParseError;\n"
},
{
"path": "pix2tex/dataset/preprocessing/third_party/katex/src/Parser.js",
"content": "/* eslint no-constant-condition:0 */\nvar functions = require(\"./functions\");\nvar environments = require(\"./environments\");\nvar Lexer = require(\"./Lexer\");\nvar symbols = require(\"./symbols\");\nvar utils = require(\"./utils\");\n\nvar parseData = require(\"./parseData\");\nvar ParseError = require(\"./ParseError\");\n\nglobal_str = \"\"\n\n/**\n * This file contains the parser used to parse out a TeX expression from the\n * input. Since TeX isn't context-free, standard parsers don't work particularly\n * well.\n *\n * The strategy of this parser is as such:\n *\n * The main functions (the `.parse...` ones) take a position in the current\n * parse string to parse tokens from. The lexer (found in Lexer.js, stored at\n * this.lexer) also supports pulling out tokens at arbitrary places. When\n * individual tokens are needed at a position, the lexer is called to pull out a\n * token, which is then used.\n *\n * The parser has a property called \"mode\" indicating the mode that\n * the parser is currently in. Currently it has to be one of \"math\" or\n * \"text\", which denotes whether the current environment is a math-y\n * one or a text-y one (e.g. inside \\text). Currently, this serves to\n * limit the functions which can be used in text mode.\n *\n * The main functions then return an object which contains the useful data that\n * was parsed at its given point, and a new position at the end of the parsed\n * data. The main functions can call each other and continue the parsing by\n * using the returned position as a new starting point.\n *\n * There are also extra `.handle...` functions, which pull out some reused\n * functionality into self-contained functions.\n *\n * The earlier functions return ParseNodes.\n * The later functions (which are called deeper in the parse) sometimes return\n * ParseFuncOrArgument, which contain a ParseNode as well as some data about\n * whether the parsed object is a function which is missing some arguments, or a\n * standalone object which can be used as an argument to another function.\n */\n\n/**\n * Main Parser class\n */\nfunction Parser(input, settings) {\n // Make a new lexer\n this.lexer = new Lexer(input);\n // Store the settings for use in parsing\n this.settings = settings;\n}\n\nvar ParseNode = parseData.ParseNode;\n\n/**\n * An initial function (without its arguments), or an argument to a function.\n * The `result` argument should be a ParseNode.\n */\nfunction ParseFuncOrArgument(result, isFunction) {\n this.result = result;\n // Is this a function (i.e. is it something defined in functions.js)?\n this.isFunction = isFunction;\n}\n\n/**\n * Checks a result to make sure it has the right type, and throws an\n * appropriate error otherwise.\n *\n * @param {boolean=} consume whether to consume the expected token,\n * defaults to true\n */\nParser.prototype.expect = function(text, consume) {\n if (this.nextToken.text !== text) {\n throw new ParseError(\n \"Expected '\" + text + \"', got '\" + this.nextToken.text + \"'\",\n this.lexer, this.nextToken.position\n );\n }\n if (consume !== false) {\n this.consume();\n }\n};\n\n/**\n * Considers the current look ahead token as consumed,\n * and fetches the one after that as the new look ahead.\n */\nParser.prototype.consume = function() {\n this.pos = this.nextToken.position;\n\n global_str = global_str + \" \" + this.nextToken.text\n this.nextToken = this.lexer.lex(this.pos, this.mode);\n};\n\n/**\n * Main parsing function, which parses an entire input.\n *\n * @return {?Array.