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[mathjax] Add local copy of MathJax JS library

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Hypolite Petovan 2018-09-19 22:45:43 -04:00
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.DS_Store
docs/build/html-mathjax-site
config/local/*.js
!config/local/local.js
unpacked/config/local/*.js
!unpacked/config/local/local.js

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.DS_Store
docs/build/html-mathjax-site
config/local/*.js
!config/local/local.js
unpacked/config/local/*.js
!unpacked/config/local/local.js
fonts/HTML-CSS/TeX/png

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language: node_js
node_js:
- stable
sudo: false
script:
- npm install
- npm test
branches:
only:
- "/^\\d+\\.\\d+/"
deploy:
provider: npm
email: manager@mathjax.org
api_key:
secure: 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
on:
tags: true

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# Contributing to MathJax
You are interested in giving us a hand? That's awesome! We've put together some brief guidelines that should help you get started quickly and easily.
There are lots and lots of ways to get involved, this document covers:
* [reporting an issue](#reporting-an-issue)
* [bug reports](#bug-reports)
* [feature requests](#feature-requests)
* [change requests](#change-requests)
* [working on MathJax core](#working-on-mathjax-core)
* [key branches and tags](#key-branches--tags)
* [submitting pull requests](#submitting-pull-requests)
* [testing and quality assurance](#testing-and-quality-assurance)
* [writing documentation](#writing-documentation)
* [translation](#translation)
* [Conduct](#conduct)
## Reporting An Issue
If you're about to raise an issue because you think you've found a
problem with MathJax, or you'd like to make a request for a new
feature in the codebase, or any other reason… please read this first.
The GitHub issue tracker is the preferred channel for [bug reports](#bug-reports),
[feature requests](#feature-requests), [change requests](#change-requests) and [submitting pull
requests](#submitting-pull-requests), but please respect the following restrictions:
* Please **search for existing issues**. Help us keep duplicate issues
to a minimum by checking to see if someone has already reported your
problem or requested your idea.
* Please **do not** use the issue tracker for personal support
requests (use [the MathJax User Group](https://groups.google.com/forum/#!forum/mathjax-users)).
* Please **be civil**. Keep the discussion on topic and respect the
opinions of others. See also our [Conduct Guidelines](#conduct)
### Bug Reports
A bug is a _demonstrable problem_ that is caused by the code in the repository.
Good bug reports are extremely helpful - thank you!
Guidelines for bug reports:
1. **Use the GitHub issue search** — check if the issue has already been
reported.
2. **Check if the issue has been fixed** — look for [closed issues in the
current milestone](https://github.com/MathJax/MathJax/issues?&page=1&state=closed) or try to reproduce it
using the latest `develop` branch. Please note that we only pack MathJax for releases, so on the `develop` branch you have to use `/unpacked/MathJax.js` etc. to test.
3. **Share a live sample of the problem** — without a live page it is usually impossible to debug problems; see also the Bug Report Template below.
4. **Isolate the problem** — a live sample is a starting point but if you want to speed things up create a [reduced test
case](http://css-tricks.com/6263-reduced-test-cases/). Be specific about your setup (browser, OS versions etc). Use services like [jsbin](http://jsbin.com), [CodePen](http://codepen.io), [JSfiddle](http://jsfiddle.com) to make collaboration on minimal test cases easier for everyone. Use the unpacked copy of MathJax (`[...]/unpacked/MathJax.js` etc.) for better debugging.
5. **Include a screenshot/cast as a last resort** — Is your issue about a layout
or design feature / bug but hard to reproduce or isolate? Then please provide a screenshot or screencast. Tools like [LICEcap](http://www.cockos.com/licecap/) or [SauceLabs](http://www.saucelabs.com) allow you to quickly and easily record a screencasts. Make it an animated gif, embed it directly into your GitHub issue -- kapow!
6. Use the Bug Report template below or [click this
link](https://github.com/MathJax/MathJax/issues/new?title=Bug%3A&body=%23%23%23%20Issue%20Summary%0A%0A%23%23%23%20Steps%20to%20Reproduce%0A%0A1.%20This%20is%20the%20first%20step%0A%0AThis%20is%20a%20bug%20because...%0A%0A%23%23%23%20Technical%20details%0A%0A*%20MathJax%20Version%3A%20master%20-%20latest%20commit%3A%20%20INSERT%20COMMIT%20REF%0A*%20Client%20OS%3A%20%0A*%20Browser%3A%20%0A*%20)
to start creating a bug report with the template automatically.
A good bug report shouldn't leave others needing to chase you up for
more information. Be sure to include the details of your environment.
Here is a [real example](https://github.com/mathjax/MathJax/issues/820)
Template Example ([click to use](https://github.com/MathJax/MathJax/issues/new?title=Bug%3A&body=%23%23%23%20Issue%20Summary%0A%0A%23%23%23%20Steps%20to%20Reproduce%0A%0A1.%20This%20is%20the%20first%20step%0A%0AThis%20is%20a%20bug%20because...%0A%0A%23%23%23%20Technical%20details%0A%0A*%20MathJax%20Version%3A%20master%20-%20latest%20commit%3A%20%20INSERT%20COMMIT%20REF%0A*%20Client%20OS%3A%20%0A*%20Browser%3A%20%0A*%20)):
```
Short and descriptive example bug report title
### Issue Summary
A summary of the issue and the browser/OS environment in which it occurs. If
suitable, include the steps required to reproduce the bug.
### Steps to Reproduce
1. This is the first step
2. This is the second step
3. Further steps, etc.
Any other information you want to share that is relevant to the issue
being reported. Especially, why do you consider this to be a bug? What
do you expect to happen instead?
### Technical details:
* MathJax Version: 2.3 (latest commit: f3aaf3a2a3e964df2770dc4aaaa9c87ce5f47e2c)
* Client OS: Mac OS X 10.8.4
* Browser: Chrome 29.0.1547.57
```
### Feature Requests
Feature requests are welcome. Before you submit one be sure to have:
1. Read the
[Roadmaps](https://github.com/mathjax/MathJax/wiki/Mathjax-roadmap),
**use the GitHub search** and check the feature hasn't already been
requested.
2. Take a moment to think about whether your idea fits with the scope
and aims of the project, or if it might better fit being a [custom
extension](https://github.com/mathjax/MathJax-third-party-extensions).
3. Remember, it's up to *you* to make a strong case to convince the
project's leaders of the merits of this feature. Please provide as
much detail and context as possible, this means explaining the use
case and why it is likely to be common.
4. Clearly indicate whether this is a feature request for MathJax
core, input & output jax, or extensions.
### Change Requests
Change requests cover both architectural and functional changes to how
MathJax works. If you have an idea for a new or different dependency,
a refactor, or an improvement to a feature, etc - please be sure to:
1. **Use the GitHub search** and check someone else didn't get there first
2. Take a moment to think about the best way to make a case for, and
explain what you're thinking. Are you sure this shouldn't really be
a [bug report](#bug-reports) or a [feature
request](#feature-requests)? Is it really one idea or is it many?
What's the context? What problem are you solving? Why is what you
are suggesting better than what's already there? Does it fit with
the Roadmap?
## Working on MathJax core
You want to contribute code? Fantastic! Let's get you started.
### Key Branches & Tags
To get it out of the way:
- **[develop](https://github.com/MathJax/MathJax/tree/develop)** is
the development branch. All work on the next release happens here so
you should generally branch off `develop`. Do **NOT** use this branch
for a production site.
- **[master](https://github.com/MathJax/MathJax)** contains the latest
release of MathJax. This branch may be used in production. Do
**NOT** use this branch to work on MathJax's source.
### Submitting Pull Requests
Pull requests are awesome. If you're looking to raise a PR for
something which doesn't have an open issue, please think carefully
about [raising an issue](#reporting-an-issue) which your PR can close,
especially if you're fixing a bug. This makes it more likely that
there will be enough information available for your PR to be properly
tested and merged.
##### Need Help?
If you're not completely clear on how to submit / update / *do* Pull
Requests, please check out our [source control
policies](https://github.com/mathjax/MathJax/wiki/Source-control-policies). For
more insights, chech the excellent in depth [Git Workflow
guide](https://github.com/TryGhost/Ghost/wiki/Git-Workflow) from
Ghost, in particular
* [Ghost Workflow guide: commit messages](https://github.com/TryGhost/Ghost/wiki/Git-workflow#commit-messages)
### Testing and Quality Assurance
Never underestimate just how useful quality assurance is. If you're
looking to get involved with the code base and don't know where to
start, checking out and testing a pull request is one of the most
useful things you could do.
If you want to get involved with testing MathJax, there is a set of QA
Documentation [in our testing
framework](https://github.com/MathJax/MathJax-test).
Essentially though, [check out the latest develop
branch](#working-on-mathJax-core), take it for a spin, and if you find
anything odd, please follow the [bug report guidelines](#bug-reports)
and let us know!
#### Checking out a Pull Request
These are some [excellent
instructions](https://gist.github.com/piscisaureus/3342247) on
configuring your GitHub repository to allow you to checkout pull
requests in the same way as branches:
<https://gist.github.com/piscisaureus/3342247>.
### Writing documentation
MathJax's main documentation can be found at [docs.mathjax.org](http://docs.mathjax.org).
The source of the docs is hosted in the
[mathjax/mathjax-docs](http://github.com/mathjax/mathjax-docs) repo here on GitHub.
The documentation is generated using [Sphinx-doc](http://sphinx-doc.org/) and hosted on
[Read the docs](http://readthedocs.org).
You can clone the repo and submit pull requests following the
[pull-request](#submitting-pull-requests) guidelines.
### Translation
If you wish to add or update translations of MathJax, please do it on
[TranslateWiki.net](https://translatewiki.net/w/i.php?title=Special:Translate&group=out-mathjax-0-all)
(and while you're there you can help other open source projects,
too, because you're awesome!).
For bug reports and other questions that don't fit on
TranslateWiki.net, head over to the
[mathjax/mathjax-i18n](https://github.com/mathjax/MathJax-i18n)
repository.
## Conduct
We are committed to providing a friendly, safe and welcoming environment for
all, regardless of gender, sexual orientation, disability, ethnicity, religion,
or similar personal characteristic.
Please be kind and courteous. There's no need to be mean or rude.
Respect that people have differences of opinion and that every design or
implementation choice carries a trade-off and numerous costs. There is seldom
a right answer, merely an optimal answer given a set of values and
circumstances.
Please keep unstructured critique to a minimum. If you have solid ideas you
want to experiment with, make a fork and see how it works.
We will exclude you from interaction if you insult, demean or harass anyone.
That is not welcome behaviour. We interpret the term "harassment" as
including the definition in the
[Citizen Code of Conduct](http://citizencodeofconduct.org/);
if you have any lack of clarity about what might be included in that concept,
please read their definition. In particular, we don't tolerate behavior that
excludes people in socially marginalized groups.
Private harassment is also unacceptable. No matter who you are, if you feel
you have been or are being harassed or made uncomfortable by a community
member, please contact one of the channel ops or any of the
[MathJax](https://github.com/MathJax/MathJax) core team
immediately. Whether you're a regular contributor or a newcomer, we care about
making this community a safe place for you and we've got your back.
Likewise any spamming, trolling, flaming, baiting or other attention-stealing
behaviour is not welcome.
We also suggest to read [discourse's
rules](http://blog.discourse.org/2013/03/the-universal-rules-of-civilized-discourse/)
## References
* We heavily borrowed from Mozilla and Ghost -- thank you!
* https://github.com/TryGhost/Ghost/blob/master/CONTRIBUTING.md
* https://github.com/mozilla/rust/wiki/Note-development-policy
* https://github.com/jden/CONTRIBUTING.md/blob/master/CONTRIBUTING.md
* http://blog.discourse.org/2013/03/the-universal-rules-of-civilized-discourse/

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# MathJax
## Beautiful math in all browsers
MathJax is an open-source JavaScript display engine for LaTeX, MathML, and
AsciiMath notation that works in all modern browsers. It was designed with
the goal of consolidating the recent advances in web technologies into a
single, definitive, math-on-the-web platform supporting the major browsers
and operating systems. It requires no setup on the part of the user (no
plugins to download or software to install), so the page author can write
web documents that include mathematics and be confident that users will be
able to view it naturally and easily. Simply include MathJax and some
mathematics in a web page, and MathJax does the rest.
Some of the main features of MathJax include:
- High-quality display of LaTeX, MathML, and AsciiMath notation in HTML pages
- Supported in most browsers with no plug-ins, extra fonts, or special
setup for the reader
- Easy for authors, flexible for publishers, extensible for developers
- Supports math accessibility, cut-and-paste interoperability, and other
advanced functionality
- Powerful API for integration with other web applications
See <http://www.mathjax.org/> for additional details.
## Installation and Usage
The MathJax installation and usage documentation is available in a
separate GitHub repository at <https://github.com/mathjax/mathjax-docs>.
The HTML versions can now be viewed at <http://docs.mathjax.org/>,
where it is possible for you to submit corrections and modifications
directly to the documentation on line.
## Community
The main MathJax website is <http://www.mathjax.org>, and it includes
announcements and other important information. MathJax is maintained and
distributed on GitHub at <http://github.com/mathjax/MathJax>. A user forum
for asking questions and getting assistance is hosted at Google, and the
bug tracker is hosted at GitHub:
Bug tracker: <https://github.com/mathjax/MathJax/issues>
MathJax-Users Group: <http://groups.google.com/group/mathjax-users>
Before reporting a bug, please check that it has not already been reported.
Also, please use the bug tracker for reporting bugs rather than the help forum.

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{
"name": "MathJax",
"main": "./MathJax.js",
"homepage": "http://www.mathjax.org/",
"ignore": [
"**/.*",
"node_modules",
"components"
],
"keywords": ["math", "js", "LaTeX", "MathML", "AsciiMath"]
}

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{
"name": "mathjax/mathjax",
"type": "library",
"description": "MathJax is an open-source JavaScript display engine for LaTeX, MathML, and AsciiMath notation that works in all modern browsers.",
"keywords": ["math", "js", "LaTeX", "MathML", "AsciiMath"],
"homepage": "http://www.mathjax.org/",
"license": "Apache-2.0",
"authors": [
{
"name": "MathJax Consortium",
"homepage": "https://github.com/mathjax"
}
]
}

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/*
* /MathJax/config/Safe.js
*
* Copyright (c) 2009-2018 The MathJax Consortium
*
* Licensed under the Apache License, Version 2.0 (the "License");
* you may not use this file except in compliance with the License.
* You may obtain a copy of the License at
*
* http://www.apache.org/licenses/LICENSE-2.0
*
* Unless required by applicable law or agreed to in writing, software
* distributed under the License is distributed on an "AS IS" BASIS,
* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
* See the License for the specific language governing permissions and
* limitations under the License.
*/
MathJax.Hub.Register.StartupHook("End Config",function(){if(!MathJax.Hub.config.extensions){MathJax.Hub.config.extensions=[]}MathJax.Hub.config.extensions.push("Safe.js")});MathJax.Ajax.loadComplete("[MathJax]/config/Safe.js");

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/* -*- Mode: Javascript; indent-tabs-mode:nil; js-indent-level: 2 -*- */
/* vim: set ts=2 et sw=2 tw=80: */
/*************************************************************
*
* MathJax/config/default.js
*
* This configuration file is loaded when you load MathJax
* via <script src="MathJax.js?config=default"></script>
*
* Use it to customize the MathJax settings. See comments below.
*
* ---------------------------------------------------------------------
*
* Copyright (c) 2009-2018 The MathJax Consortium
*
* Licensed under the Apache License, Version 2.0 (the "License");
* you may not use this file except in compliance with the License.
* You may obtain a copy of the License at
*
* http://www.apache.org/licenses/LICENSE-2.0
*
* Unless required by applicable law or agreed to in writing, software
* distributed under the License is distributed on an "AS IS" BASIS,
* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
* See the License for the specific language governing permissions and
* limitations under the License.
*/
/*
* This file lists most, but not all, of the options that can be set for
* MathJax and its various components. Some additional options are
* available, however, and are listed in the various links at:
*
* http://www.mathjax.org/resources/docs/?configuration.html#configuration-options-by-component
*
* You can add these to the configuration object below if you
* want to change them from their default values.
*/
MathJax.Hub.Config({
//
// A comma-separated list of configuration files to load
// when MathJax starts up. E.g., to define local macros, etc.
// The default directory is the MathJax/config directory.
//
// Example: config: ["local/local.js"],
// Example: config: ["local/local.js","MMLtoHTML.js"],
//
config: [],
//
// A comma-separated list of CSS stylesheet files to be loaded
// when MathJax starts up. The default directory is the
// MathJax/config directory.
//
// Example: styleSheets: ["MathJax.css"],
//
styleSheets: [],
//
// Styles to be defined dynamically at startup time.
//
// Example:
// styles: {
// ".MathJax_Preview": {
// color: "#888"
// }
// },
//
styles: {},
//
// A comma-separated list of input and output jax to initialize at startup.
// Their main code is loaded only when they are actually used, so it is not
// inefficient to include jax that may not actually be used on the page. These
// are found in the MathJax/jax directory. The choices include
//
// input/TeX
// input/MathML
// input/AsciiMath
//
// output/HTML-CSS
// output/NativeMML
// output/SVG
//
// If you change the input jax, you may need to include the appropriate
// preprocessor in the extensions array below.
//
jax: ["input/TeX", "output/HTML-CSS"],
//
// A comma-separated list of extensions to load at startup. The default
// directory is MathJax/extensions.
//
// Example: extensions: ["tex2jax.js","TeX/AMSmath.js","TeX/AMSsymbols.js"],
//
// You may wish to include "mml2jax.js" if you are using "input/MathML" in the
// jax array above, and "asciimath2jax.js" if you using "input/AsciiMath".
// Include "jsmath2jax.js" if you are converting from using jsMath to MathJax.
//
extensions: ["tex2jax.js"],
//
// Patterns to remove from before and after math script tags. If you are not
// using one of the preprocessors (e.g., tex2jax), you need to insert something
// extra into your HTML file in order to avoid a bug in Internet Explorer. IE
// removes spaces from the DOM that it thinks are redundent, and since a SCRIPT
// tag usually doesn't add content to the page, if there is a space before and after
// a MathJax SCRIPT tag, IE will remove the first space. When MathJax inserts
// the typeset mathematics, this means there will be no space before it and the
// preceding text. In order to avoid this, you should include some "guard characters"
// before or after the math SCRIPT tag; define the patterns you want to use below.
// Note that these are used as regular expressions, so you will need to quote
// special characters. Furthermore, since they are javascript strings, you must
// quote javascript special characters as well. So to obtain a backslash, you must
// use \\ (doubled for javascript). For example, "\\[" is the pattern \[ in the
// regular expression. That means that if you want an actual backslash in your
// guard characters, you need to use "\\\\" in order to get \\ in the regular
// expression, and \ in the actual text. If both preJax and postJax are defined,
// both must be present in order to be removed.
//
// See also the preRemoveClass comments below.
//
// Example:
// preJax: "\\\\\\\\", // makes a double backslash the preJax text
// or
// preJax: "\\[\\[", // jax scripts must be enclosed in double brackets
// postJax: "\\]\\]",
//
preJax: null,
postJax: null,
//
// The CSS class for a math preview to be removed preceding a MathJax
// SCRIPT tag. If the tag just before the MathJax SCRIPT tag is of this
// class, its contents are removed when MathJax processes the SCRIPT
// tag. This allows you to include a math preview in a form that will
// be displayed prior to MathJax performing its typesetting. It also
// avoids the Internet Explorer space-removal bug, and can be used in
// place of preJax and postJax if that is more convenient.
//
// For example
//
// <span class="MathJax_Preview">[math]</span><script type="math/tex">...</script>
//
// would display "[math]" in place of the math until MathJax is able to typeset it.
//
preRemoveClass: "MathJax_Preview",
//
// This value controls whether the "Processing Math: nn%" message are displayed
// in the lower left-hand corner. Set to "false" to prevent those messages (though
// file loading and other messages will still be shown).
//
showProcessingMessages: true,
//
// This value controls the verbosity of the messages in the lower left-hand corner.
// Set it to "none" to eliminate all messages, or set it to "simple" to show
// "Loading..." and "Processing..." rather than showing the full file name and the
// percentage of the mathematics processed.
//
messageStyle: "normal",
//
// These two parameters control the alignment and shifting of displayed equations.
// The first can be "left", "center", or "right", and determines the alignment of
// displayed equations. When the alignment is not "center", the second determines
// an indentation from the left or right side for the displayed equations. When
// the alignment is "center", the indent allows you to shift the center to the right
// or left (negative is left).
//
displayAlign: "center",
displayIndent: "0",
//
// Normally MathJax will perform its starup commands (loading of
// configuration, styles, jax, and so on) as soon as it can. If you
// expect to be doing additional configuration on the page, however, you
// may want to have it wait until the page's onload hander is called. If so,
// set this to "onload".
//
delayStartupUntil: "none",
//
// Normally MathJax will typeset the mathematics on the page as soon as
// the page is loaded. If you want to delay that process, in which case
// you will need to call MathJax.Hub.Typeset() yourself by hand, set
// this value to true.
//
skipStartupTypeset: false,
//
// A list of element ID's that are the ones to process for mathematics
// when any of the Hub typesetting calls (Typeset, Process, Update, etc)
// are called with no element specified. This lets you restrict the
// processing to particular containers rather than scanning the entire
// document for mathematics. If none are supplied, the entire document
// is processed.
//
elements: [],
//
// Since typesetting usually changes the vertical dimensions of the
// page, if the URL contains an anchor position you may no longer be
// positioned at the correct position on the page, so MathJax can
// reposition to that location after it completes its initial
// typesetting of the page. This value controls whether MathJax will
// reposition the browser to the #hash location from the page URL after
// typesetting for the page.
//
positionToHash: true,
//
// These control whether to attach the MathJax contextual menu to the
// expressions typeset by MathJax. Since the code for handling
// MathPlayer in Internet Explorer is somewhat delicate, it is
// controlled separately via (showMathMenuMSIE). The latter is now
// deprecated in favor of the MathJax contextual menu settings for
// MathPlayer.
//
// These values used to be listed in the separate output jax, but
// have been moved to this more central location since they are shared
// by all output jax.
//
showMathMenu: true,
showMathMenuMSIE: true,
//
// The default settings for the MathJax contextual menu (overridden by
// the MathJax cookie when users change the menu settings).
//
menuSettings: {
zoom: "None", // when to do MathZoom
CTRL: false, // require CTRL for MathZoom?
ALT: false, // require Alt or Option?
CMD: false, // require CMD?
Shift: false, // require Shift?
discoverable: false, // make math menu discoverable on hover?
zscale: "200%", // the scaling factor for MathZoom
renderer: null, // set when Jax are loaded
font: "Auto", // what font HTML-CSS should use
context: "MathJax", // or "Browser" for pass-through to browser menu
locale: null, // the language to use for messages
mpContext: false, // true means pass menu events to MathPlayer in IE
mpMouse: false, // true means pass mouse events to MathPlayer in IE
texHints: true, // include class names for TeXAtom elements
FastPreview: null, // use PreviewHTML output as preview?
assistiveMML: null, // include hidden MathML for screen readers?
inTabOrder: true, // set to true if math elements should be included in the tabindex
semantics: false // add semantics tag with original form in MathML output
},
//
// The message and style for when there is a processing error handling
// the mathematics (something has gone wrong with the input or output
// jax that prevents it from operating properly).
//
errorSettings: {
message: ["[",["MathProcessingError","Math Processing Error"],"]"],
style: {color: "#CC0000", "font-style":"italic"} // style for message
},
//============================================================================
//
// These parameters control the tex2jax preprocessor (when you have included
// "tex2jax.js" in the extensions list above).
//
tex2jax: {
//
// The delimiters that surround in-line math expressions. The first in each
// pair is the initial delimiter and the second is the terminal delimiter.
// Comment out any that you don't want, but be sure there is no extra
// comma at the end of the last item in the list -- some browsers won't
// be able to handle that.
//
inlineMath: [
// ['$','$'], // uncomment this for standard TeX math delimiters
['\\(','\\)']
],
//
// The delimiters that surround displayed math expressions. The first in each
// pair is the initial delimiter and the second is the terminal delimiter.
// Comment out any that you don't want, but be sure there is no extra
// comma at the end of the last item in the list -- some browsers won't
// be able to handle that.
//
displayMath: [
['$$','$$'],
['\\[','\\]']
],
//
// This array lists the names of the tags whose contents should not be
// processed by tex2jax (other than to look for ignore/process classes
// as listed below). You can add to (or remove from) this list to prevent
// MathJax from processing mathematics in specific contexts.
//
skipTags: ["script","noscript","style","textarea","pre","code","annotation","annotation-xml"],
//
// This is the class name used to mark elements whose contents should
// not be processed by tex2jax (other than to look for the
// processClass pattern below). Note that this is a regular
// expression, and so you need to be sure to quote any regexp special
// characters. The pattern is automatically preceded by '(^| )(' and
// followed by ')( |$)', so your pattern will have to match full words
// in the class name. Assigning an element this class name will
// prevent `tex2jax` from processing its contents.
//
ignoreClass: "tex2jax_ignore",
//
// This is the class name used to mark elements whose contents SHOULD
// be processed by tex2jax. This is used to turn on processing within
// tags that have been marked as ignored or skipped above. Note that
// this is a regular expression, and so you need to be sure to quote
// any regexp special characters. The pattern is automatically
// preceded by '(^| )(' and followed by ')( |$)', so your pattern
// will have to match full words in the class name. Use this to
// restart processing within an element that has been marked as
// ignored above.
//
processClass: "tex2jax_process",
//
// Set to "true" to allow \$ to produce a dollar without starting in-line
// math mode. If you uncomment the ['$','$'] line above, you should change
// this to true so that you can insert plain dollar signs into your documents
//
processEscapes: false,
//
// Controls whether tex2jax processes LaTeX environments outside of math
// mode. Set to "false" to prevent processing of environments except within
// math mode.
//
processEnvironments: true,
//
// Controls whether tex2jax processes \ref{...} commands outside
// of math mode. Set to "false" to prevent processing of \ref
// except within math mode.
//
processRefs: true,
//
// Controls whether tex2jax inserts MathJax_Preview spans to make a
// preview available, and what preview to use, when it locates in-line
// and display mathetics on the page. The default is "TeX", which
// means use the TeX code as the preview (until it is processed by
// MathJax). Set to "none" to prevent the previews from being
// inserted (the math will simply disappear until it is typeset). Set
// to an array containing the description of an HTML snippet in order
// to use the same preview for all equations on the page (e.g., you
// could have it say "[math]" or load an image).
//
// E.g., preview: ["[math]"],
// or preview: [["img",{src: "http://myserver.com/images/mypic.jpg"}]]
//
preview: "TeX"
},
//============================================================================
//
// These parameters control the asciimath2jax preprocessor (when you have included
// "asciimath2jax.js" in the extensions list above).
//
asciimath2jax: {
//
// The delimiters that surround asciimath expressions. The first in each
// pair is the initial delimiter and the second is the terminal delimiter.
//
delimiters: [
['`','`']
],
//
// This array lists the names of the tags whose contents should not be
// processed by asciimath2jax (other than to look for ignore/process classes
// as listed below). You can add to (or remove from) this list to prevent
// MathJax from processing mathematics in specific contexts.
//
skipTags: ["script","noscript","style","textarea","pre","code","annotation","annotation-xml"],
//
// This is the class name used to mark elements whose contents should
// not be processed by asciimath2jax (other than to look for the
// processClass pattern below). Note that this is a regular
// expression, and so you need to be sure to quote any regexp special
// characters. The pattern is automatically preceded by '(^| )(' and
// followed by ')( |$)', so your pattern will have to match full words
// in the class name. Assigning an element this class name will
// prevent `asciimath2jax` from processing its contents.
//
ignoreClass: "asciimath2jax_ignore",
//
// This is the class name used to mark elements whose contents SHOULD
// be processed by asciimath2jax. This is used to turn on processing
// within tags that have been marked as ignored or skipped above.
// Note that this is a regular expression, and so you need to be sure
// to quote any regexp special characters. The pattern is
// automatically preceded by '(^| )(' and followed by ')( |$)', so
// your pattern will have to match full words in the class name. Use
// this to restart processing within an element that has been marked
// as ignored above.
//
processClass: "asciimath2jax_process",
// Controls whether asciimath2jax inserts MathJax_Preview spans to make a
// preview available, and what preview to use, when it locates in-line
// and display mathetics on the page. The default is "AsciiMath", which
// means use the AsciiMath code as the preview (until it is processed by
// MathJax). Set to "none" to prevent the previews from being
// inserted (the math will simply disappear until it is typeset). Set
// to an array containing the description of an HTML snippet in order
// to use the same preview for all equations on the page (e.g., you
// could have it say "[math]" or load an image).
//
// E.g., preview: ["[math]"],
// or preview: [["img",{src: "http://myserver.com/images/mypic.jpg"}]]
//
preview: "AsciiMath"
},
//============================================================================
//
// These parameters control the mml2jax preprocessor (when you have included
// "mml2jax.js" in the extensions list above).
//
mml2jax: {
//
// Controls whether mml2jax inserts MathJax_Preview spans to make a
// preview available, and what preview to use, when it locates
// mathematics on the page. The default is "mathml" which means use
// the <math> tag as the preview (until it is processed by MathJax).
// Set to "alttext", to use the <math> tag's alttext attribute as the
// preview, if the tag has one. Set to "none" to
// prevent the previews from being inserted (the math will simply
// disappear until it is typeset). Set to "altimg" to use an image
// described by the altimg* attributes of the <math> element.
// Set to an array containing the
// description of an HTML snippet in order to use the same preview for
// all equations on the page (e.g., you could have it say "[math]" or
// load an image).
//
// E.g., preview: ["[math]"],
// or preview: [["img",{src: "http://myserver.com/images/mypic.jpg"}]]
//
preview: "mathml"
},
//============================================================================
//
// These parameters control the jsMath2jax preprocessor (when you have included
// "jsMath2jax.js" in the extensions list above).
//
jsMath2jax: {
//
// Controls whether jsMath2jax inserts MathJax_Preview spans to make a
// preview available, and what preview to use, when it locates
// mathematics on the page. The default is "TeX", which means use the
// TeX code as the preview (until it is processed by MathJax). Set to
// "none" to prevent the previews from being inserted (the math will
// simply disappear until it is typeset). Set to an array containing
// the description of an HTML snippet in order to use the same preview
// for all equations on the page (e.g., you could have it say "[math]"
// or load an image).
//
// E.g., preview: ["[math]"],
// or preview: [["img",{src: "http://myserver.com/images/mypic.jpg"}]]
//
preview: "TeX"
},
//============================================================================
//
// These parameters control the TeX input jax.
//
TeX: {
//
// This specifies the side on which \tag{} macros will place the tags.
// Set to "left" to place on the left-hand side.
//
TagSide: "right",
//
// This is the amound of indentation (from right or left) for the tags.
//
TagIndent: "0.8em",
//
// This is the width to use for the multline environment
//
MultLineWidth: "85%",
//
// List of macros to define. These are of the form
// name: value
// where 'value' is the replacement text for the macro \name.
// The 'value' can also be [value,n] where 'value' is the replacement
// text and 'n' is the number of parameters for the macro.
// Note that backslashes must be doubled in the replacement string.
//
// E.g.,
//
// Macros: {
// RR: '{\\bf R}',
// bold: ['{\\bf #1}', 1]
// }
//
Macros: {},
//
// Equation numbering parameters.
//
equationNumbers: {
autoNumber: "none", // "AMS" for standard AMS environment numbering,
// or "all" to number all displayed equations
// formatNumber: function (n) {return n}, // format for equation number n
// formatTag: function (n) {return '('+n+')'}, // format for \tag and \eqref
// formatID: function (n) {return 'mjx-eqn-'+String(n).replace(/\s/g,"_")},
// // element ID to use for reference
// formatURL: function (id,base) {return base+'#'+encodeURIComponent(id)},
// // URL to use for references
useLabelIds: true // make element ID's use \label name rather than equation number
},
//
// Controls the TeX/noErrors extension
//
noErrors: {
disabled: false, // set to true to return to original error messages
multiLine: true, // false to not include original line breaks
inlineDelimiters: ["",""], // or use ["$","$"] or ["\\(","\\)"] to put back delimiters
style: {
"font-size": "90%",
"text-align": "left",
"color": "black",
"padding": "1px 3px",
"border": "1px solid"
}
},
//
// Controls the TeX/noUndefined extension
//
noUndefined: {
disabled: false, // set to true to return to original error messages
attributes: { // attributes to set for the undefined control sequence
mathcolor: "red"
}
},
//
// Controls the TeX/unicode extension
unicode: {
fonts: "STIXGeneral,'Arial Unicode MS'" // the default font list for unknown characters
}
},
//============================================================================
//
// These parameters control the AsciiMath input jax.
//
AsciiMath: {
//
// Determines whether the unicode positions for phi and varphi are
// to be swapped or not. (Unicode originally had these reversed, and
// many fonts have them reversed as well.) When set to true, phi
// and varphi will correspond to the LaTeX macros of the same name.
//
fixphi: true,
//
// Determines whether the MathML should be marked so that the HTML-CSS
// and SVG output jax will use MathML spacing rules rather than TeX
// spacing rules. Since AsciiMath was designed for MathML output, the
// MathML rules are used by default.
//
useMathMLspacing: true,
//
// Determines whether limits are placed above and below operators,
// or next to them. (AsciiMath doesn't have separate in-line and
// display modes like TeX and MathML do, so this is the only control
// you have over its output)
//
displaystyle: true,
//
// The character to use for decimal places when scanning for a number.
// If you change it to ",", beware of things like "(1,2)" which would need
// to be changed to "(1, 2)" to be parsed correctly.
//
decimal: "."
},
//============================================================================
//
// These parameters control the MathML input jax.
//
MathML: {
//
// This specifies whether to use TeX spacing or MathML spacing when the
// HTML-CSS output jax is used.
//
useMathMLspacing: false
},
//============================================================================
//
// These parameters control the HTML-CSS output jax.
//
"HTML-CSS": {
//
// This controls the global scaling of mathematics as compared to the
// surrounding text. Values between 100 and 133 are usually good choices.
//
scale: 100,
//
// Don't allow the matching of math text to surrounding text to use a scaling
// factor smaller than this.
//
minScaleAdjust: 50,
//
// This is a list of the fonts to look for on a user's computer in
// preference to using MathJax's web-based fonts. These must
// correspond to directories available in the jax/output/HTML-CSS/fonts
// directory, where MathJax stores data about the characters available
// in the fonts. Set this to ["TeX"], for example, to prevent the
// use of the STIX fonts, or set it to an empty list, [], if
// you want to force MathJax to use web-based or image fonts.
//
availableFonts: ["STIX","TeX"],
//
// This is the preferred font to use when more than one of those
// listed above is available.
//
preferredFont: "TeX",
//
// This is the web-based font to use when none of the fonts listed
// above are available on the user's computer. Note that currently
// only the TeX font is available in a web-based form. Set this to
//
// webFont: null,
//
// if you want to prevent the use of web-based fonts.
//
webFont: "TeX",
//
// This is the font to use for image fallback mode (when none of the
// fonts listed above are available and the browser doesn't support
// web-fonts via the @font-face CSS directive). Note that currently
// only the TeX font is available as an image font. Set this to
//
// imageFont: null,
//
// if you want to prevent the use of image fonts (e.g., you have not
// installed the image fonts on your server). In this case, only
// browsers that support web-based fonts will be able to view your pages
// without having the fonts installed on the client computer. The browsers
// that support web-based fonts include: IE6 and later, Chrome, Safari3.1
// and above, Firefox3.5 and later, and Opera10 and later. Note that
// Firefox3.0 is NOT on this list, so without image fonts, FF3.0 users
// will be required to to download and install either the STIX fonts or the
// MathJax TeX fonts.
//
imageFont: "TeX",
//
// This is the font-family CSS value used for characters that are not
// in the selected font (e.g., for web-based fonts, this is where to
// look for characters not included in the MathJax_* fonts). IE will
// stop looking after the first font that exists on the system (even
// if it doesn't contain the needed character), so order these carefully.
//
undefinedFamily: "STIXGeneral,'Arial Unicode MS',serif",
//
// This setting controls whether <mtext> elements will be typeset
// using the math fonts or the font of the surrounding text. When
// false, the mathvariant="normal" font will be used; when true,
// the font will be inherited from the surrounding paragraph.
//
mtextFontInherit: false,
//
// These values control how "chunky" the display of mathematical
// expressions will be.
//
// EqnChunk is the number of equations that will be typeset before
// they appear on screen. Larger values make for less visual flicker
// as the equations are drawn, but also mean longer delays before the
// reader sees anything.
//
// EqChunkFactor is the factor by which the EqnChunk will grow after each
// chunk is displayed.
//
// EqChunkDelay is the time (in milliseconds) to delay between chunks
// (to allow the browser to respond to other user interaction).
//
// Set EqnChunk to 1, EqnChunkFactor to 1, and EqnChunkDelay to 10 to get
// the behavior from MathJax v1.1 and below.
//
EqnChunk: 50,
EqnChunkFactor: 1.5,
EqnChunkDelay: 100,
//
// This option indicates whether MathJax should try to correct the
// x-height of equations to match the size of the surrounding text.
//
matchFontHeight: true,
//
// When true, MathJax will not measure the widths or heights of the
// subexpressions as it creates its output, but instead will rely on
// its internal calculations based on the bounding boxes of the
// characters it uses, and will only take measurements when it
// absolutely has to. Since measurements cause display reflows, they
// slows down MathJax considerably, so without them MathJax runs
// faster, but can produce slightly less accurate character placements,
// especially in width fractions or roots.
//
noReflows: true,
//
// These settings control automatic line breaking. It is off by
// default, so only explicit line breaks are performed (via
// linebreak="newline" attributes on <mo> and <mspace> elements). To
// perform automatic line breaking on line expressions, set
// 'automatic' to 'true' below. The line breaks will be applied via a
// penalty-based heuristic, which does well, but isn't perfect. You
// might need to use linebreak="goodbreak" or linebreak="badbreak" by
// hand in order to get better effects. It is also possible to modify
// the penalty values; contact the MathJax user's forum for details.
//
linebreaks: {
//
// This controls the automatic breaking of expressions:
// when false, only process linebreak="newline",
// when true, line breaks are inserted automatically in long expressions.
//
automatic: false,
//
// This controls how wide the lines of mathematics can be
//
// Use an explicit width like "30em" for a fixed width.
// Use "container" to compute the size from the containing element.
// Use "nn% container" for a portion of the container.
// Use "nn%" for a portion of the window size.
//
// The container-based widths may be slower, and may not produce the
// expected results if the layout width changes due to the removal
// of previews or inclusion of mathematics during typesetting.
//
width: "container"
},
//
// This allows you to define or modify the styles used to display
// various math elements created by MathJax.
//
// Example:
// styles: {
// ".MathJax .merror": {
// color: "#CC0000",
// border: "1px solid #CC0000"
// }
// }
//
styles: {},
//
// Configuration for <maction> tooltips
// (see also the #MathJax_Tooltip CSS in MathJax/jax/output/HTML-CSS/config.js,
// which can be overridden using the styles values above).
//
tooltip: {
delayPost: 600, // milliseconds delay before tooltip is posted after mouseover
delayClear: 600, // milliseconds delay before tooltip is cleared after mouseout
offsetX: 10, offsetY: 5 // pixels to offset tooltip from mouse position
}
},
//============================================================================
//
// These parameters control the NativeMML output jax.
//
NativeMML: {
//
// This controls the global scaling of mathematics as compared to the
// surrounding text. Values between 100 and 133 are usually good choices.
//
scale: 100,
//
// Don't allow the matching of math text to surrounding text to use a scaling
// factor smaller than this.
//
minScaleAdjust: 50,
// This option indicates whether MathJax should try to correct the
// x-height of equations to match the size of the surrounding text.
matchFontHeight: true,
//
// This allows you to define or modify the styles used to display
// various math elements created by MathJax.
//
// Example:
// styles: {
// ".MathJax_MathML": {
// color: "red" // MathML is in red
// }
// }
//
styles: {}
},
//============================================================================
//
// These parameters control the SVG output jax.
//
"SVG": {
//
// This controls the global scaling of mathematics as compared to the
// surrounding text. Values between 100 and 133 are usually good choices.
//
scale: 100,
//
// Don't allow the matching of math text to surrounding text to use a scaling
// factor smaller than this.
//
minScaleAdjust: 50,
//
// This specifies the font to use for SVG output (currently the only
// one available)
//
font: "TeX",
//
// This is the stroke width to use for all character paths (1em = 1000
// units). This is a cheap way of getting slightly lighter or darker
// characters
//
blacker: 10,
//
// This is the font-family CSS value used for characters that are not
// in the selected font. IE will stop looking after the first font
// that exists on the system (even if it doesn't contain the needed
// character), so order these carefully.
//
undefinedFamily: "STIXGeneral,'Arial Unicode MS',serif",
//
// This setting controls whether <mtext> elements will be typeset
// using the math fonts or the font of the surrounding text. When
// false, the mathvariant="normal" font will be used; when true,
// the font will be inherited from the surrounding paragraph.
//
mtextFontInherit: false,
//
// This controls whether the MathML structure is retained and CSS
// classes are added to mark the original MathML elements (as in the
// HTML-CSS output). By default, the SVG output jax removes unneeded
// nesting in order to produce a more efficient markup, but if you
// want to use CSS to style the elements as if they were MathML, you
// might need to set this to true.
//
addMMLclasses: false,
//
// These values control how "chunky" the display of mathematical
// expressions will be.
//
// EqnChunk is the number of equations that will be typeset before
// they appear on screen. Larger values make for less visual flicker
// as the equations are drawn, but also mean longer delays before the
// reader sees anything.
//
// EqChunkFactor is the factor by which the EqnChunk will grow after each
// chunk is displayed.
//
// EqChunkDelay is the time (in milliseconds) to delay between chunks
// (to allow the browser to respond to other user interaction).
//
// Set EqnChunk to 1, EqnChunkFactor to 1, and EwnChunkDelay to 10 to get
// the behavior from MathJax v1.1 and below.
//
EqnChunk: 50,
EqnChunkFactor: 1.5,
EqnChunkDelay: 100,
// This option indicates whether MathJax should try to correct the
// x-height of equations to match the size of the surrounding text.
matchFontHeight: true,
//
// These settings control automatic line breaking. It is off by
// default, so only explicit line breaks are performed (via
// linebreak="newline" attributes on <mo> and <mspace> elements). To
// perform automatic line breaking on line expressions, set
// 'automatic' to 'true' below. The line breaks will be applied via a
// penalty-based heuristic, which does well, but isn't perfect. You
// might need to use linebreak="goodbreak" or linebreak="badbreak" by
// hand in order to get better effects. It is also possible to modify
// the penalty values; contact the MathJax user's forum for details.
//
linebreaks: {
//
// This controls the automatic breaking of expressions:
// when false, only process linebreak="newline",
// when true, line breaks are inserted automatically in long expressions.
//
automatic: false,
//
// This controls how wide the lines of mathematics can be
//
// Use an explicit width like "30em" for a fixed width.
// Use "container" to compute the size from the containing element.
// Use "nn% container" for a portion of the container.
// Use "nn%" for a portion of the window size.
//
// The container-based widths may be slower, and may not produce the
// expected results if the layout width changes due to the removal
// of previews or inclusion of mathematics during typesetting.
//
width: "container"
},
//
// These are the styles used for merror elements in SVG output. Note
// that only a limited number of style attributes are supported by
// SVG, but you can at least change the colors and borders.
//
//
merrorStyle: {
fontSize:"90%", color:"#C00", background:"#FF8",
border: "1px solid #C00", padding:"3px"
},
//
// This allows you to define or modify the styles used to display
// various math elements created by MathJax.
//
// Example:
// styles: {
// ".MathJax .merror": {
// color: "#CC0000",
// border: "1px solid #CC0000"
// }
// }
//
styles: {},
//
// Configuration for <maction> tooltips
// (see also the #MathJax_Tooltip CSS in MathJax/jax/output/SVG/config.js,
// which can be overridden using the styles values above).
//
tooltip: {
delayPost: 600, // milliseconds delay before tooltip is posted after mouseover
delayClear: 600, // milliseconds delay before tooltip is cleared after mouseout
offsetX: 10, offsetY: 5 // pixels to offset tooltip from mouse position
}
},
//============================================================================
//
// These parameters control the contextual menus that are available on the
// mathematics within the page (provided the showMathMenu value is true above).
//
MathMenu: {
//
// This is the hover delay for the display of submenus in the
// contextual menu. When the mouse is still over a submenu label for
// this long, the menu will appear. (The menu also will appear if you
// click on the label.) It is in milliseconds.
//
delay: 150,
//
// This is the URL for the MathJax Help menu item.
//
helpURL: "http://www.mathjax.org/help-v2/user/",
//
// These control whether the "Math Renderer", "MathPlayer", "Font
// Preferences", "Contextual Menu", and "Discoverable" menu items will
// be displayed or not.
//
showRenderer: true,
showMathPlayer: true,
showFontMenu: false,
showContext: false,
showDiscoverable: false,
//
// These are the settings for the Annotation menu. If the <math> root has
// a <semantics> child that contains one of the following annotation
// formats, the source will be available via the "Show Math As" menu.
// Each format has a list of possible encodings.
//
semanticsAnnotations: {
"TeX": ["TeX", "LaTeX", "application/x-tex"],
"StarMath": ["StarMath 5.0"],
"Maple": ["Maple"],
"ContentMathML": ["MathML-Content", "application/mathml-content+xml"],
"OpenMath": ["OpenMath"]
},
//
// These are the settings for the Show Source window. The initial
// width and height will be reset after the source is shown in an
// attempt to make the window fit the output better.
//
windowSettings: {
status: "no", toolbar: "no", locationbar: "no", menubar: "no",
directories: "no", personalbar: "no", resizable: "yes", scrollbars: "yes",
width: 100, height: 50
},
//
// This allows you to change the CSS that controls the menu
// appearance. See the extensions/MathMenu.js file for details
// of the default settings.
//
styles: {}
},
//============================================================================
//
// These parameters control the contextual menus that are available on the
// mathematics within the page (provided the showMathMenu value is true above).
//
MathEvents: {
//
// This is the time required for the mouse to be held still over a
// typeset equation in order for it to count as a hover (used when the
// zoom trigger is "Hover"). It is in milliseconds.
//
hover: 500
},
//============================================================================
//
// These parameters control the MMLorHTML configuration file.
// NOTE: if you add MMLorHTML.js to the config array above,
// you must REMOVE the output jax from the jax array.
//
MMLorHTML: {
//
// The output jax that is to be preferred when both are possible
// (set to "MML" for native MathML, "HTML" for MathJax's HTML-CSS output jax).
//
prefer: {
MSIE: "MML",
Firefox: "HTML",
Opera: "HTML",
Safari: "HTML",
Chrome: "HTML",
other: "HTML"
}
}
});
MathJax.Ajax.loadComplete("[MathJax]/config/default.js");

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/* -*- Mode: Javascript; indent-tabs-mode:nil; js-indent-level: 2 -*- */
/* vim: set ts=2 et sw=2 tw=80: */
/*************************************************************
*
* MathJax/config/local/local.js
*
* Include changes and configuration local to your installation
* in this file. For example, common macros can be defined here
* (see below). To use this file, add "local/local.js" to the
* config array in MathJax.js or your MathJax.Hub.Config() call.
*
* ---------------------------------------------------------------------
*
* Copyright (c) 2009-2018 The MathJax Consortium
*
* Licensed under the Apache License, Version 2.0 (the "License");
* you may not use this file except in compliance with the License.
* You may obtain a copy of the License at
*
* http://www.apache.org/licenses/LICENSE-2.0
*
* Unless required by applicable law or agreed to in writing, software
* distributed under the License is distributed on an "AS IS" BASIS,
* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
* See the License for the specific language governing permissions and
* limitations under the License.
*/
MathJax.Hub.Register.StartupHook("TeX Jax Ready",function () {
var TEX = MathJax.InputJax.TeX;
// place macros here. E.g.:
// TEX.Macro("R","{\\bf R}");
// TEX.Macro("op","\\mathop{\\rm #1}",1); // a macro with 1 parameter
});
MathJax.Ajax.loadComplete("[MathJax]/config/local/local.js");

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/*
* /MathJax/extensions/AssistiveMML.js
*
* Copyright (c) 2009-2018 The MathJax Consortium
*
* Licensed under the Apache License, Version 2.0 (the "License");
* you may not use this file except in compliance with the License.
* You may obtain a copy of the License at
*
* http://www.apache.org/licenses/LICENSE-2.0
*
* Unless required by applicable law or agreed to in writing, software
* distributed under the License is distributed on an "AS IS" BASIS,
* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
* See the License for the specific language governing permissions and
* limitations under the License.
*/
(function(a,e,b,f){var c=b.config.menuSettings;var d=MathJax.Extension.AssistiveMML={version:"2.7.5",config:b.CombineConfig("AssistiveMML",{disabled:false,styles:{".MJX_Assistive_MathML":{position:"absolute!important",top:0,left:0,clip:(b.Browser.isMSIE&&(document.documentMode||0)<8?"rect(1px 1px 1px 1px)":"rect(1px, 1px, 1px, 1px)"),padding:"1px 0 0 0!important",border:"0!important",height:"1px!important",width:"1px!important",overflow:"hidden!important",display:"block!important","-webkit-touch-callout":"none","-webkit-user-select":"none","-khtml-user-select":"none","-moz-user-select":"none","-ms-user-select":"none","user-select":"none"},".MJX_Assistive_MathML.MJX_Assistive_MathML_Block":{width:"100%!important"}}}),Config:function(){if(!this.config.disabled&&c.assistiveMML==null){b.Config({menuSettings:{assistiveMML:true}})}a.Styles(this.config.styles);b.Register.MessageHook("End Math",function(g){if(c.assistiveMML){return d.AddAssistiveMathML(g[1])}})},AddAssistiveMathML:function(g){var h={jax:b.getAllJax(g),i:0,callback:MathJax.Callback({})};this.HandleMML(h);return h.callback},RemoveAssistiveMathML:function(k){var h=b.getAllJax(k),l;for(var j=0,g=h.length;j<g;j++){l=document.getElementById(h[j].inputID+"-Frame");if(l&&l.getAttribute("data-mathml")){l.removeAttribute("data-mathml");if(l.lastChild&&l.lastChild.className.match(/MJX_Assistive_MathML/)){l.removeChild(l.lastChild)}}}},HandleMML:function(l){var g=l.jax.length,h,i,n,j;while(l.i<g){h=l.jax[l.i];n=document.getElementById(h.inputID+"-Frame");if(h.outputJax!=="NativeMML"&&h.outputJax!=="PlainSource"&&n&&!n.getAttribute("data-mathml")){try{i=h.root.toMathML("").replace(/\n */g,"").replace(/<!--.*?-->/g,"")}catch(k){if(!k.restart){throw k}return MathJax.Callback.After(["HandleMML",this,l],k.restart)}n.setAttribute("data-mathml",i);j=f.addElement(n,"span",{isMathJax:true,unselectable:"on",className:"MJX_Assistive_MathML"+(h.root.Get("display")==="block"?" MJX_Assistive_MathML_Block":"")});try{j.innerHTML=i}catch(k){}n.style.position="relative";n.setAttribute("role","presentation");n.firstChild.setAttribute("aria-hidden","true");j.setAttribute("role","presentation")}l.i++}l.callback()}};b.Startup.signal.Post("AssistiveMML Ready")})(MathJax.Ajax,MathJax.Callback,MathJax.Hub,MathJax.HTML);MathJax.Callback.Queue(["Require",MathJax.Ajax,"[MathJax]/extensions/toMathML.js"],["loadComplete",MathJax.Ajax,"[MathJax]/extensions/AssistiveMML.js"],function(){MathJax.Hub.Register.StartupHook("End Config",["Config",MathJax.Extension.AssistiveMML])});

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/*
* /MathJax/extensions/CHTML-preview.js
*
* Copyright (c) 2009-2018 The MathJax Consortium
*
* Licensed under the Apache License, Version 2.0 (the "License");
* you may not use this file except in compliance with the License.
* You may obtain a copy of the License at
*
* http://www.apache.org/licenses/LICENSE-2.0
*
* Unless required by applicable law or agreed to in writing, software
* distributed under the License is distributed on an "AS IS" BASIS,
* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
* See the License for the specific language governing permissions and
* limitations under the License.
*/
MathJax.Callback.Queue(["Require",MathJax.Ajax,"[MathJax]/extensions/fast-preview.js"],["loadComplete",MathJax.Ajax,"[MathJax]/extensions/CHTML-preview.js"]);

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/*
* /MathJax/extensions/FontWarnings.js
*
* Copyright (c) 2009-2018 The MathJax Consortium
*
* Licensed under the Apache License, Version 2.0 (the "License");
* you may not use this file except in compliance with the License.
* You may obtain a copy of the License at
*
* http://www.apache.org/licenses/LICENSE-2.0
*
* Unless required by applicable law or agreed to in writing, software
* distributed under the License is distributed on an "AS IS" BASIS,
* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
* See the License for the specific language governing permissions and
* limitations under the License.
*/
(function(b,d){var i="2.7.5";var a="http://www.stixfonts.org/";var f="https://github.com/mathjax/MathJax/tree/master/fonts/HTML-CSS/TeX/otf";var h=b.CombineConfig("FontWarnings",{messageStyle:{position:"fixed",bottom:"4em",left:"3em",width:"40em",border:"3px solid #880000","background-color":"#E0E0E0",color:"black",padding:"1em","font-size":"small","white-space":"normal","border-radius":".75em","-webkit-border-radius":".75em","-moz-border-radius":".75em","-khtml-border-radius":".75em","box-shadow":"4px 4px 10px #AAAAAA","-webkit-box-shadow":"4px 4px 10px #AAAAAA","-moz-box-shadow":"4px 4px 10px #AAAAAA","-khtml-box-shadow":"4px 4px 10px #AAAAAA",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=3, OffY=3, Color='gray', Positive='true')"},Message:{webFont:[["closeBox"],["webFont","MathJax is using web-based fonts to display the mathematics on this page. These take time to download, so the page would render faster if you installed math fonts directly in your system's font folder."],["fonts"]],imageFonts:[["closeBox"],["imageFonts","MathJax is using its image fonts rather than local or web-based fonts. This will render slower than usual, and the mathematics may not print at the full resolution of your printer."],["fonts"],["webFonts"]],noFonts:[["closeBox"],["noFonts","MathJax is unable to locate a font to use to display its mathematics, and image fonts are not available, so it is falling back on generic unicode characters in hopes that your browser will be able to display them. Some characters may not show up properly, or possibly not at all."],["fonts"],["webFonts"]]},HTML:{closeBox:[["div",{style:{position:"absolute",overflow:"hidden",top:".1em",right:".1em",border:"1px outset",width:"1em",height:"1em","text-align":"center",cursor:"pointer","background-color":"#EEEEEE",color:"#606060","border-radius":".5em","-webkit-border-radius":".5em","-moz-border-radius":".5em","-khtml-border-radius":".5em"},onclick:function(){if(c.div&&c.fade===0){if(c.timer){clearTimeout(c.timer)}c.div.style.display="none"}}},[["span",{style:{position:"relative",bottom:".2em"}},["x"]]]]],webFonts:[["p"],["webFonts","Most modern browsers allow for fonts to be downloaded over the web. Updating to a more recent version of your browser (or changing browsers) could improve the quality of the mathematics on this page."]],fonts:[["p"],["fonts","MathJax can use either the [STIX fonts](%1) or the [MathJax TeX fonts](%2). Download and install one of those fonts to improve your MathJax experience.",a,f]],STIXfonts:[["p"],["STIXPage","This page is designed to use the [STIX fonts](%1). Download and install those fonts to improve your MathJax experience.",a]],TeXfonts:[["p"],["TeXPage","This page is designed to use the [MathJax TeX fonts](%1). Download and install those fonts to improve your MathJax experience.",f]]},removeAfter:12*1000,fadeoutSteps:10,fadeoutTime:1.5*1000});if(MathJax.Hub.Browser.isIE9&&document.documentMode>=9){delete h.messageStyle.filter}var c={div:null,fade:0};var e=function(m){if(c.div){return}var j=MathJax.OutputJax["HTML-CSS"],n=document.body;if(b.Browser.isMSIE){if(h.messageStyle.position==="fixed"){MathJax.Message.Init();n=document.getElementById("MathJax_MSIE_Frame")||n;if(n!==document.body){h.messageStyle.position="absolute"}}}else{delete h.messageStyle.filter}h.messageStyle.maxWidth=(document.body.clientWidth-75)+"px";var k=0;while(k<m.length){if(MathJax.Object.isArray(m[k])){if(m[k].length===1&&h.HTML[m[k][0]]){m.splice.apply(m,[k,1].concat(h.HTML[m[k][0]]))}else{if(typeof m[k][1]==="string"){var l=MathJax.Localization.lookupPhrase(["FontWarnings",m[k][0]],m[k][1]);l=MathJax.Localization.processMarkdown(l,m[k].slice(2),"FontWarnings");m.splice.apply(m,[k,1].concat(l));k+=l.length}else{k++}}}else{k++}}c.div=j.addElement(n,"div",{id:"MathJax_FontWarning",style:h.messageStyle},m);MathJax.Localization.setCSS(c.div);if(h.removeAfter){b.Register.StartupHook("End",function(){c.timer=setTimeout(g,h.removeAfter)})}d.Cookie.Set("fontWarn",{warned:true})};var g=function(){c.fade++;if(c.timer){delete c.timer}if(c.fade<h.fadeoutSteps){var j=1-c.fade/h.fadeoutSteps;c.div.style.opacity=j;c.div.style.filter="alpha(opacity="+Math.floor(100*j)+")";setTimeout(g,h.fadeoutTime/h.fadeoutSteps)}else{c.div.style.display="none"}};if(!d.Cookie.Get("fontWarn").warned){b.Startup.signal.Interest(function(m){if(m.match(/HTML-CSS Jax - /)&&!c.div){var j=MathJax.OutputJax["HTML-CSS"],n=j.config.availableFonts,l;var k=(n&&n.length);if(!k){h.HTML.fonts=[""]}else{if(n.length===1){h.HTML.fonts=h.HTML[n[0]+"fonts"]}}if(j.allowWebFonts){h.HTML.webfonts=[""]}if(m.match(/- Web-Font/)){if(k){l="webFont"}}else{if(m.match(/- using image fonts/)){l="imageFonts"}else{if(m.match(/- no valid font/)){l="noFonts"}}}if(l&&h.Message[l]){MathJax.Localization.loadDomain("FontWarnings",[e,h.Message[l]])}}})}})(MathJax.Hub,MathJax.HTML);MathJax.Ajax.loadComplete("[MathJax]/extensions/FontWarnings.js");

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/*
* /MathJax/extensions/HTML-CSS/handle-floats.js
*
* Copyright (c) 2009-2018 The MathJax Consortium
*
* Licensed under the Apache License, Version 2.0 (the "License");
* you may not use this file except in compliance with the License.
* You may obtain a copy of the License at
*
* http://www.apache.org/licenses/LICENSE-2.0
*
* Unless required by applicable law or agreed to in writing, software
* distributed under the License is distributed on an "AS IS" BASIS,
* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
* See the License for the specific language governing permissions and
* limitations under the License.
*/
MathJax.Extension["HTML-CSS/handle-floats"]={version:"2.7.5"};MathJax.Hub.Startup.signal.Post("HTML-CSS handle-floats Ready");MathJax.Ajax.loadComplete("[MathJax]/extensions/HTML-CSS/handle-floats.js");

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/*
* /MathJax/extensions/MatchWebFonts.js
*
* Copyright (c) 2009-2018 The MathJax Consortium
*
* Licensed under the Apache License, Version 2.0 (the "License");
* you may not use this file except in compliance with the License.
* You may obtain a copy of the License at
*
* http://www.apache.org/licenses/LICENSE-2.0
*
* Unless required by applicable law or agreed to in writing, software
* distributed under the License is distributed on an "AS IS" BASIS,
* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
* See the License for the specific language governing permissions and
* limitations under the License.
*/
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/*
* /MathJax/extensions/TeX/AMScd.js
*
* Copyright (c) 2009-2018 The MathJax Consortium
*
* Licensed under the Apache License, Version 2.0 (the "License");
* you may not use this file except in compliance with the License.
* You may obtain a copy of the License at
*
* http://www.apache.org/licenses/LICENSE-2.0
*
* Unless required by applicable law or agreed to in writing, software
* distributed under the License is distributed on an "AS IS" BASIS,
* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
* See the License for the specific language governing permissions and
* limitations under the License.
*/
MathJax.Extension["TeX/AMScd"]={version:"2.7.5",config:MathJax.Hub.CombineConfig("TeX.CD",{colspace:"5pt",rowspace:"5pt",harrowsize:"2.75em",varrowsize:"1.75em",hideHorizontalLabels:false})};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var b=MathJax.ElementJax.mml,e=MathJax.InputJax.TeX,d=e.Stack.Item,c=e.Definitions,a=MathJax.Extension["TeX/AMScd"].config;c.environment.CD="CD_env";c.special["@"]="CD_arrow";c.macros.minCDarrowwidth="CD_minwidth";c.macros.minCDarrowheight="CD_minheight";e.Parse.Augment({CD_env:function(f){this.Push(f);return d.array().With({arraydef:{columnalign:"center",columnspacing:a.colspace,rowspacing:a.rowspace,displaystyle:true},minw:this.stack.env.CD_minw||a.harrowsize,minh:this.stack.env.CD_minh||a.varrowsize})},CD_arrow:function(g){var l=this.string.charAt(this.i);if(!l.match(/[><VA.|=]/)){return this.Other(g)}else{this.i++}var o=this.stack.Top();if(!o.isa(d.array)||o.data.length){this.CD_cell(g);o=this.stack.Top()}var q=((o.table.length%2)===1);var i=(o.row.length+(q?0:1))%2;while(i){this.CD_cell(g);i--}var h;var f={minsize:o.minw,stretchy:true},k={minsize:o.minh,stretchy:true,symmetric:true,lspace:0,rspace:0};if(l==="."){}else{if(l==="|"){h=this.mmlToken(b.mo("\u2225").With(k))}else{if(l==="="){h=this.mmlToken(b.mo("=").With(f))}else{var r={">":"\u2192","<":"\u2190",V:"\u2193",A:"\u2191"}[l];var p=this.GetUpTo(g+l,l),m=this.GetUpTo(g+l,l);if(l===">"||l==="<"){h=b.mo(r).With(f);if(!p){p="\\kern "+o.minw}if(p||m){var j={width:"+11mu",lspace:"6mu"};h=b.munderover(this.mmlToken(h));if(p){p=e.Parse(p,this.stack.env).mml();h.SetData(h.over,b.mpadded(p).With(j).With({voffset:".1em"}))}if(m){m=e.Parse(m,this.stack.env).mml();h.SetData(h.under,b.mpadded(m).With(j))}if(a.hideHorizontalLabels){h=b.mpadded(h).With({depth:0,height:".67em"})}}}else{h=r=this.mmlToken(b.mo(r).With(k));if(p||m){h=b.mrow();if(p){h.Append(e.Parse("\\scriptstyle\\llap{"+p+"}",this.stack.env).mml())}h.Append(r.With({texClass:b.TEXCLASS.ORD}));if(m){h.Append(e.Parse("\\scriptstyle\\rlap{"+m+"}",this.stack.env).mml())}}}}}}if(h){this.Push(h)}this.CD_cell(g)},CD_cell:function(f){var g=this.stack.Top();if((g.table||[]).length%2===0&&(g.row||[]).length===0){this.Push(b.mpadded().With({height:"8.5pt",depth:"2pt"}))}this.Push(d.cell().With({isEntry:true,name:f}))},CD_minwidth:function(f){this.stack.env.CD_minw=this.GetDimen(f)},CD_minheight:function(f){this.stack.env.CD_minh=this.GetDimen(f)}})});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/AMScd.js");

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/*
* /MathJax/extensions/TeX/HTML.js
*
* Copyright (c) 2009-2018 The MathJax Consortium
*
* Licensed under the Apache License, Version 2.0 (the "License");
* you may not use this file except in compliance with the License.
* You may obtain a copy of the License at
*
* http://www.apache.org/licenses/LICENSE-2.0
*
* Unless required by applicable law or agreed to in writing, software
* distributed under the License is distributed on an "AS IS" BASIS,
* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
* See the License for the specific language governing permissions and
* limitations under the License.
*/
MathJax.Extension["TeX/HTML"]={version:"2.7.5"};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var b=MathJax.InputJax.TeX;var a=b.Definitions;a.Add({macros:{href:"HREF_attribute","class":"CLASS_attribute",style:"STYLE_attribute",cssId:"ID_attribute"}},null,true);b.Parse.Augment({HREF_attribute:function(e){var d=this.GetArgument(e),c=this.GetArgumentMML(e);this.Push(c.With({href:d}))},CLASS_attribute:function(d){var e=this.GetArgument(d),c=this.GetArgumentMML(d);if(c["class"]!=null){e=c["class"]+" "+e}this.Push(c.With({"class":e}))},STYLE_attribute:function(d){var e=this.GetArgument(d),c=this.GetArgumentMML(d);if(c.style!=null){if(e.charAt(e.length-1)!==";"){e+=";"}e=c.style+" "+e}this.Push(c.With({style:e}))},ID_attribute:function(e){var d=this.GetArgument(e),c=this.GetArgumentMML(e);this.Push(c.With({id:d}))},GetArgumentMML:function(d){var c=this.ParseArg(d);if(c.inferred&&c.data.length==1){c=c.data[0]}else{delete c.inferred}return c}});MathJax.Hub.Startup.signal.Post("TeX HTML Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/HTML.js");

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/*
* /MathJax/extensions/TeX/action.js
*
* Copyright (c) 2009-2018 The MathJax Consortium
*
* Licensed under the Apache License, Version 2.0 (the "License");
* you may not use this file except in compliance with the License.
* You may obtain a copy of the License at
*
* http://www.apache.org/licenses/LICENSE-2.0
*
* Unless required by applicable law or agreed to in writing, software
* distributed under the License is distributed on an "AS IS" BASIS,
* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
* See the License for the specific language governing permissions and
* limitations under the License.
*/
MathJax.Extension["TeX/action"]={version:"2.7.5"};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var b=MathJax.InputJax.TeX,a=MathJax.ElementJax.mml;b.Definitions.Add({macros:{toggle:"Toggle",mathtip:"Mathtip",texttip:["Macro","\\mathtip{#1}{\\text{#2}}",2]}},null,true);b.Parse.Augment({Toggle:function(d){var e=[],c;while((c=this.GetArgument(d))!=="\\endtoggle"){e.push(b.Parse(c,this.stack.env).mml())}this.Push(a.maction.apply(a,e).With({actiontype:a.ACTIONTYPE.TOGGLE}))},Mathtip:function(d){var c=this.ParseArg(d),e=this.ParseArg(d);this.Push(a.maction(c,e).With({actiontype:a.ACTIONTYPE.TOOLTIP}))}});MathJax.Hub.Startup.signal.Post("TeX action Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/action.js");

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/*
* /MathJax/extensions/TeX/autobold.js
*
* Copyright (c) 2009-2018 The MathJax Consortium
*
* Licensed under the Apache License, Version 2.0 (the "License");
* you may not use this file except in compliance with the License.
* You may obtain a copy of the License at
*
* http://www.apache.org/licenses/LICENSE-2.0
*
* Unless required by applicable law or agreed to in writing, software
* distributed under the License is distributed on an "AS IS" BASIS,
* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
* See the License for the specific language governing permissions and
* limitations under the License.
*/
MathJax.Extension["TeX/autobold"]={version:"2.7.5"};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var a=MathJax.InputJax.TeX;a.prefilterHooks.Add(function(d){var c=d.script.parentNode.insertBefore(document.createElement("span"),d.script);c.visibility="hidden";c.style.fontFamily="Times, serif";c.appendChild(document.createTextNode("ABCXYZabcxyz"));var b=c.offsetWidth;c.style.fontWeight="bold";if(b&&c.offsetWidth===b){d.math="\\boldsymbol{"+d.math+"}"}c.parentNode.removeChild(c)});MathJax.Hub.Startup.signal.Post("TeX autobold Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/autobold.js");

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/*
* /MathJax/extensions/TeX/autoload-all.js
*
* Copyright (c) 2009-2018 The MathJax Consortium
*
* Licensed under the Apache License, Version 2.0 (the "License");
* you may not use this file except in compliance with the License.
* You may obtain a copy of the License at
*
* http://www.apache.org/licenses/LICENSE-2.0
*
* Unless required by applicable law or agreed to in writing, software
* distributed under the License is distributed on an "AS IS" BASIS,
* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
* See the License for the specific language governing permissions and
* limitations under the License.
*/
MathJax.Extension["TeX/autoload-all"]={version:"2.7.5"};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var h={action:["mathtip","texttip","toggle"],AMSmath:["mathring","nobreakspace","negmedspace","negthickspace","intI","iiiint","idotsint","dddot","ddddot","sideset","boxed","substack","injlim","projlim","varliminf","varlimsup","varinjlim","varprojlim","DeclareMathOperator","operatorname","genfrac","tfrac","dfrac","binom","tbinom","dbinom","cfrac","shoveleft","shoveright","xrightarrow","xleftarrow"],begingroup:["begingroup","endgroup","gdef","global"],cancel:["cancel","bcancel","xcancel","cancelto"],color:["color","textcolor","colorbox","fcolorbox","definecolor"],enclose:["enclose"],extpfeil:["Newextarrow","xlongequal","xmapsto","xtofrom","xtwoheadleftarrow","xtwoheadrightarrow"],mhchem:["ce","cee","cf"]};var c={AMSmath:["subarray","smallmatrix","equation","equation*"],AMScd:["CD"]};var d,g,b,a={macros:{},environment:{}};for(d in h){if(h.hasOwnProperty(d)){if(!MathJax.Extension["TeX/"+d]){var f=h[d];for(g=0,b=f.length;g<b;g++){a.macros[f[g]]=["Extension",d]}}}}for(d in c){if(c.hasOwnProperty(d)){if(!MathJax.Extension["TeX/"+d]){var e=c[d];for(g=0,b=e.length;g<b;g++){a.environment[e[g]]=["ExtensionEnv",null,d]}}}}MathJax.InputJax.TeX.Definitions.Add(a);MathJax.Hub.Startup.signal.Post("TeX autoload-all Ready")});MathJax.Callback.Queue(["Require",MathJax.Ajax,"[MathJax]/extensions/TeX/AMSsymbols.js"],["loadComplete",MathJax.Ajax,"[MathJax]/extensions/TeX/autoload-all.js"]);

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/*
* /MathJax/extensions/TeX/bbox.js
*
* Copyright (c) 2009-2018 The MathJax Consortium
*
* Licensed under the Apache License, Version 2.0 (the "License");
* you may not use this file except in compliance with the License.
* You may obtain a copy of the License at
*
* http://www.apache.org/licenses/LICENSE-2.0
*
* Unless required by applicable law or agreed to in writing, software
* distributed under the License is distributed on an "AS IS" BASIS,
* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
* See the License for the specific language governing permissions and
* limitations under the License.
*/
MathJax.Extension["TeX/bbox"]={version:"2.7.5"};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var b=MathJax.InputJax.TeX,a=MathJax.ElementJax.mml;b.Definitions.Add({macros:{bbox:"BBox"}},null,true);b.Parse.Augment({BBox:function(e){var p=this.GetBrackets(e,""),o=this.ParseArg(e);var k=p.split(/,/),g,d,c;for(var l=0,j=k.length;l<j;l++){var f=k[l].replace(/^\s+/,"").replace(/\s+$/,"");var n=f.match(/^(\.\d+|\d+(\.\d*)?)(pt|em|ex|mu|px|in|cm|mm)$/);if(n){if(g){b.Error(["MultipleBBoxProperty","%1 specified twice in %2","Padding",e])}var h=this.BBoxPadding(n[1]+n[3]);if(h){g={height:"+"+h,depth:"+"+h,lspace:h,width:"+"+(2*n[1])+n[3]}}}else{if(f.match(/^([a-z0-9]+|\#[0-9a-f]{6}|\#[0-9a-f]{3})$/i)){if(d){b.Error(["MultipleBBoxProperty","%1 specified twice in %2","Background",e])}d=f}else{if(f.match(/^[-a-z]+:/i)){if(c){b.Error(["MultipleBBoxProperty","%1 specified twice in %2","Style",e])}c=this.BBoxStyle(f)}else{if(f!==""){b.Error(["InvalidBBoxProperty","'%1' doesn't look like a color, a padding dimension, or a style",f])}}}}}if(g){o=a.mpadded(o).With(g)}if(d||c){o=a.mstyle(o).With({mathbackground:d,style:c})}this.Push(o)},BBoxStyle:function(c){return c},BBoxPadding:function(c){return c}});MathJax.Hub.Startup.signal.Post("TeX bbox Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/bbox.js");

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/*
* /MathJax/extensions/TeX/begingroup.js
*
* Copyright (c) 2009-2018 The MathJax Consortium
*
* Licensed under the Apache License, Version 2.0 (the "License");
* you may not use this file except in compliance with the License.
* You may obtain a copy of the License at
*
* http://www.apache.org/licenses/LICENSE-2.0
*
* Unless required by applicable law or agreed to in writing, software
* distributed under the License is distributed on an "AS IS" BASIS,
* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
* See the License for the specific language governing permissions and
* limitations under the License.
*/
MathJax.Extension["TeX/begingroup"]={version:"2.7.5"};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var d=MathJax.InputJax.TeX,b=d.Definitions;var a=MathJax.Object.Subclass({macros:null,environments:null,Init:function(e,f){this.macros=(e||{});this.environments=(f||{})},Find:function(e,f){if(this[f].hasOwnProperty(e)){return this[f][e]}},Def:function(e,g,f){this[f][e]=g},Undef:function(e,f){delete this[f][e]},Merge:function(e){MathJax.Hub.Insert(this.macros,e.macros);MathJax.Hub.Insert(this.environments,e.environments)},MergeGlobals:function(e){var f=this.macros;for(var g in f){if(f.hasOwnProperty(g)&&f[g].global){e.Def(g,f[g],"macros",true);delete f[g].global;delete f[g]}}},Clear:function(g){this.environments={};if(g){this.macros={}}else{var e=this.macros;for(var f in e){if(e.hasOwnProperty(f)&&!e[f].global){delete e[f]}}}return this}});var c=d.nsStack=MathJax.Object.Subclass({stack:null,top:0,isEqn:false,Init:function(e){this.isEqn=e;this.stack=[];if(!e){this.Push(a(b.macros,b.environment))}else{this.Push(a())}},Def:function(e,h,f,g){var i=this.top-1;if(g){while(i>0){this.stack[i].Undef(e,f);i--}if(!MathJax.Object.isArray(h)){h=[h]}if(this.isEqn){h.global=true}}this.stack[i].Def(e,h,f)},Push:function(e){this.stack.push(e);this.top=this.stack.length},Pop:function(){var e;if(this.top>1){e=this.stack[--this.top];if(this.isEqn){this.stack.pop()}}else{if(this.isEqn){this.Clear()}}return e},Find:function(e,g){for(var f=this.top-1;f>=0;f--){var h=this.stack[f].Find(e,g);if(h){return h}}return null},Merge:function(e){e.stack[0].MergeGlobals(this);this.stack[this.top-1].Merge(e.stack[0]);var f=[this.top,this.stack.length-this.top].concat(e.stack.slice(1));this.stack.splice.apply(this.stack,f);this.top=this.stack.length},Reset:function(){this.top=this.stack.length},Clear:function(e){this.stack=[this.stack[0].Clear()];this.top=this.stack.length}},{nsFrame:a});b.Add({macros:{begingroup:"BeginGroup",endgroup:"EndGroup",global:"Global",gdef:["Macro","\\global\\def"]}},null,true);d.Parse.Augment({BeginGroup:function(e){d.eqnStack.Push(a())},EndGroup:function(e){if(d.eqnStack.top>1){d.eqnStack.Pop()}else{if(d.rootStack.top===1){d.Error(["ExtraEndMissingBegin","Extra %1 or missing \\begingroup",e])}else{d.eqnStack.Clear();d.rootStack.Pop()}}},csFindMacro:function(e){return(d.eqnStack.Find(e,"macros")||d.rootStack.Find(e,"macros"))},envFindName:function(e){return(d.eqnStack.Find(e,"environments")||d.rootStack.Find(e,"environments"))},setDef:function(e,f){f.isUser=true;d.eqnStack.Def(e,f,"macros",this.stack.env.isGlobal);delete this.stack.env.isGlobal},setEnv:function(e,f){f.isUser=true;d.eqnStack.Def(e,f,"environments")},Global:function(e){var f=this.i;var g=this.GetCSname(e);this.i=f;if(g!=="let"&&g!=="def"&&g!=="newcommand"&&g!=="DeclareMathOperator"&&g!=="Newextarrow"){d.Error(["GlobalNotFollowedBy","%1 not followed by \\let, \\def, or \\newcommand",e])}this.stack.env.isGlobal=true}});d.rootStack=c();d.eqnStack=c(true);d.prefilterHooks.Add(function(){d.rootStack.Reset();d.eqnStack.Clear(true)});d.postfilterHooks.Add(function(){d.rootStack.Merge(d.eqnStack)});MathJax.Hub.Startup.signal.Post("TeX begingroup Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/begingroup.js");

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/*
* /MathJax/extensions/TeX/boldsymbol.js
*
* Copyright (c) 2009-2018 The MathJax Consortium
*
* Licensed under the Apache License, Version 2.0 (the "License");
* you may not use this file except in compliance with the License.
* You may obtain a copy of the License at
*
* http://www.apache.org/licenses/LICENSE-2.0
*
* Unless required by applicable law or agreed to in writing, software
* distributed under the License is distributed on an "AS IS" BASIS,
* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
* See the License for the specific language governing permissions and
* limitations under the License.
*/
MathJax.Extension["TeX/boldsymbol"]={version:"2.7.5"};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var a=MathJax.ElementJax.mml;var d=MathJax.InputJax.TeX;var b=d.Definitions;var c={};c[a.VARIANT.NORMAL]=a.VARIANT.BOLD;c[a.VARIANT.ITALIC]=a.VARIANT.BOLDITALIC;c[a.VARIANT.FRAKTUR]=a.VARIANT.BOLDFRAKTUR;c[a.VARIANT.SCRIPT]=a.VARIANT.BOLDSCRIPT;c[a.VARIANT.SANSSERIF]=a.VARIANT.BOLDSANSSERIF;c["-tex-caligraphic"]="-tex-caligraphic-bold";c["-tex-oldstyle"]="-tex-oldstyle-bold";b.Add({macros:{boldsymbol:"Boldsymbol"}},null,true);d.Parse.Augment({mmlToken:function(f){if(this.stack.env.boldsymbol){var e=f.Get("mathvariant");if(e==null){f.mathvariant=a.VARIANT.BOLD}else{f.mathvariant=(c[e]||e)}}return f},Boldsymbol:function(h){var e=this.stack.env.boldsymbol,f=this.stack.env.font;this.stack.env.boldsymbol=true;this.stack.env.font=null;var g=this.ParseArg(h);this.stack.env.font=f;this.stack.env.boldsymbol=e;this.Push(g)}});MathJax.Hub.Startup.signal.Post("TeX boldsymbol Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/boldsymbol.js");

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/*
* /MathJax/extensions/TeX/cancel.js
*
* Copyright (c) 2009-2018 The MathJax Consortium
*
* Licensed under the Apache License, Version 2.0 (the "License");
* you may not use this file except in compliance with the License.
* You may obtain a copy of the License at
*
* http://www.apache.org/licenses/LICENSE-2.0
*
* Unless required by applicable law or agreed to in writing, software
* distributed under the License is distributed on an "AS IS" BASIS,
* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
* See the License for the specific language governing permissions and
* limitations under the License.
*/
MathJax.Extension["TeX/cancel"]={version:"2.7.5",ALLOWED:{color:1,mathcolor:1,background:1,mathbackground:1,padding:1,thickness:1}};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var c=MathJax.InputJax.TeX,a=MathJax.ElementJax.mml,b=MathJax.Extension["TeX/cancel"];b.setAttributes=function(h,e){if(e!==""){e=e.replace(/ /g,"").split(/,/);for(var g=0,d=e.length;g<d;g++){var f=e[g].split(/[:=]/);if(b.ALLOWED[f[0]]){if(f[1]==="true"){f[1]=true}if(f[1]==="false"){f[1]=false}h[f[0]]=f[1]}}}return h};c.Definitions.Add({macros:{cancel:["Cancel",a.NOTATION.UPDIAGONALSTRIKE],bcancel:["Cancel",a.NOTATION.DOWNDIAGONALSTRIKE],xcancel:["Cancel",a.NOTATION.UPDIAGONALSTRIKE+" "+a.NOTATION.DOWNDIAGONALSTRIKE],cancelto:"CancelTo"}},null,true);c.Parse.Augment({Cancel:function(e,g){var d=this.GetBrackets(e,""),f=this.ParseArg(e);var h=b.setAttributes({notation:g},d);this.Push(a.menclose(f).With(h))},CancelTo:function(e,g){var i=this.ParseArg(e),d=this.GetBrackets(e,""),f=this.ParseArg(e);var h=b.setAttributes({notation:a.NOTATION.UPDIAGONALSTRIKE+" "+a.NOTATION.UPDIAGONALARROW},d);i=a.mpadded(i).With({depth:"-.1em",height:"+.1em",voffset:".1em"});this.Push(a.msup(a.menclose(f).With(h),i))}});MathJax.Hub.Startup.signal.Post("TeX cancel Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/cancel.js");

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/*
* /MathJax/extensions/TeX/color.js
*
* Copyright (c) 2009-2018 The MathJax Consortium
*
* Licensed under the Apache License, Version 2.0 (the "License");
* you may not use this file except in compliance with the License.
* You may obtain a copy of the License at
*
* http://www.apache.org/licenses/LICENSE-2.0
*
* Unless required by applicable law or agreed to in writing, software
* distributed under the License is distributed on an "AS IS" BASIS,
* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
* See the License for the specific language governing permissions and
* limitations under the License.
*/
MathJax.Extension["TeX/color"]={version:"2.7.5",config:MathJax.Hub.CombineConfig("TeX.color",{padding:"5px",border:"2px"}),colors:{Apricot:"#FBB982",Aquamarine:"#00B5BE",Bittersweet:"#C04F17",Black:"#221E1F",Blue:"#2D2F92",BlueGreen:"#00B3B8",BlueViolet:"#473992",BrickRed:"#B6321C",Brown:"#792500",BurntOrange:"#F7921D",CadetBlue:"#74729A",CarnationPink:"#F282B4",Cerulean:"#00A2E3",CornflowerBlue:"#41B0E4",Cyan:"#00AEEF",Dandelion:"#FDBC42",DarkOrchid:"#A4538A",Emerald:"#00A99D",ForestGreen:"#009B55",Fuchsia:"#8C368C",Goldenrod:"#FFDF42",Gray:"#949698",Green:"#00A64F",GreenYellow:"#DFE674",JungleGreen:"#00A99A",Lavender:"#F49EC4",LimeGreen:"#8DC73E",Magenta:"#EC008C",Mahogany:"#A9341F",Maroon:"#AF3235",Melon:"#F89E7B",MidnightBlue:"#006795",Mulberry:"#A93C93",NavyBlue:"#006EB8",OliveGreen:"#3C8031",Orange:"#F58137",OrangeRed:"#ED135A",Orchid:"#AF72B0",Peach:"#F7965A",Periwinkle:"#7977B8",PineGreen:"#008B72",Plum:"#92268F",ProcessBlue:"#00B0F0",Purple:"#99479B",RawSienna:"#974006",Red:"#ED1B23",RedOrange:"#F26035",RedViolet:"#A1246B",Rhodamine:"#EF559F",RoyalBlue:"#0071BC",RoyalPurple:"#613F99",RubineRed:"#ED017D",Salmon:"#F69289",SeaGreen:"#3FBC9D",Sepia:"#671800",SkyBlue:"#46C5DD",SpringGreen:"#C6DC67",Tan:"#DA9D76",TealBlue:"#00AEB3",Thistle:"#D883B7",Turquoise:"#00B4CE",Violet:"#58429B",VioletRed:"#EF58A0",White:"#FFFFFF",WildStrawberry:"#EE2967",Yellow:"#FFF200",YellowGreen:"#98CC70",YellowOrange:"#FAA21A"},getColor:function(a,c){if(!a){a="named"}var b=this["get_"+a];if(!b){this.TEX.Error(["UndefinedColorModel","Color model '%1' not defined",a])}return b.call(this,c)},get_rgb:function(b){b=b.replace(/^\s+/,"").replace(/\s+$/,"").split(/\s*,\s*/);var a="#";if(b.length!==3){this.TEX.Error(["ModelArg1","Color values for the %1 model require 3 numbers","rgb"])}for(var c=0;c<3;c++){if(!b[c].match(/^(\d+(\.\d*)?|\.\d+)$/)){this.TEX.Error(["InvalidDecimalNumber","Invalid decimal number"])}var d=parseFloat(b[c]);if(d<0||d>1){this.TEX.Error(["ModelArg2","Color values for the %1 model must be between %2 and %3","rgb",0,1])}d=Math.floor(d*255).toString(16);if(d.length<2){d="0"+d}a+=d}return a},get_RGB:function(b){b=b.replace(/^\s+/,"").replace(/\s+$/,"").split(/\s*,\s*/);var a="#";if(b.length!==3){this.TEX.Error(["ModelArg1","Color values for the %1 model require 3 numbers","RGB"])}for(var c=0;c<3;c++){if(!b[c].match(/^\d+$/)){this.TEX.Error(["InvalidNumber","Invalid number"])}var d=parseInt(b[c]);if(d>255){this.TEX.Error(["ModelArg2","Color values for the %1 model must be between %2 and %3","RGB",0,255])}d=d.toString(16);if(d.length<2){d="0"+d}a+=d}return a},get_gray:function(a){if(!a.match(/^\s*(\d+(\.\d*)?|\.\d+)\s*$/)){this.TEX.Error(["InvalidDecimalNumber","Invalid decimal number"])}var b=parseFloat(a);if(b<0||b>1){this.TEX.Error(["ModelArg2","Color values for the %1 model must be between %2 and %3","gray",0,1])}b=Math.floor(b*255).toString(16);if(b.length<2){b="0"+b}return"#"+b+b+b},get_named:function(a){if(this.colors.hasOwnProperty(a)){return this.colors[a]}return a},padding:function(){var c="+"+this.config.padding;var a=this.config.padding.replace(/^.*?([a-z]*)$/,"$1");var b="+"+(2*parseFloat(c))+a;return{width:b,height:c,depth:c,lspace:this.config.padding}}};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var d=MathJax.InputJax.TeX,a=MathJax.ElementJax.mml;var c=d.Stack.Item;var b=MathJax.Extension["TeX/color"];b.TEX=d;d.Definitions.Add({macros:{color:"Color",textcolor:"TextColor",definecolor:"DefineColor",colorbox:"ColorBox",fcolorbox:"fColorBox"}},null,true);d.Parse.Augment({Color:function(h){var g=this.GetBrackets(h),e=this.GetArgument(h);e=b.getColor(g,e);var f=c.style().With({styles:{mathcolor:e}});this.stack.env.color=e;this.Push(f)},TextColor:function(h){var g=this.GetBrackets(h),f=this.GetArgument(h);f=b.getColor(g,f);var e=this.stack.env.color;this.stack.env.color=f;var i=this.ParseArg(h);if(e){this.stack.env.color}else{delete this.stack.env.color}this.Push(a.mstyle(i).With({mathcolor:f}))},DefineColor:function(g){var f=this.GetArgument(g),e=this.GetArgument(g),h=this.GetArgument(g);b.colors[f]=b.getColor(e,h)},ColorBox:function(g){var f=this.GetArgument(g),e=this.InternalMath(this.GetArgument(g));this.Push(a.mpadded.apply(a,e).With({mathbackground:b.getColor("named",f)}).With(b.padding()))},fColorBox:function(g){var h=this.GetArgument(g),f=this.GetArgument(g),e=this.InternalMath(this.GetArgument(g));this.Push(a.mpadded.apply(a,e).With({mathbackground:b.getColor("named",f),style:"border: "+b.config.border+" solid "+b.getColor("named",h)}).With(b.padding()))}});MathJax.Hub.Startup.signal.Post("TeX color Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/color.js");

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/*
* /MathJax/extensions/TeX/enclose.js
*
* Copyright (c) 2009-2018 The MathJax Consortium
*
* Licensed under the Apache License, Version 2.0 (the "License");
* you may not use this file except in compliance with the License.
* You may obtain a copy of the License at
*
* http://www.apache.org/licenses/LICENSE-2.0
*
* Unless required by applicable law or agreed to in writing, software
* distributed under the License is distributed on an "AS IS" BASIS,
* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
* See the License for the specific language governing permissions and
* limitations under the License.
*/
MathJax.Extension["TeX/enclose"]={version:"2.7.5",ALLOWED:{arrow:1,color:1,mathcolor:1,background:1,mathbackground:1,padding:1,thickness:1}};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var c=MathJax.InputJax.TeX,a=MathJax.ElementJax.mml,b=MathJax.Extension["TeX/enclose"].ALLOWED;c.Definitions.Add({macros:{enclose:"Enclose"}},null,true);c.Parse.Augment({Enclose:function(g){var k=this.GetArgument(g),e=this.GetBrackets(g),j=this.ParseArg(g);var l={notation:k.replace(/,/g," ")};if(e){e=e.replace(/ /g,"").split(/,/);for(var h=0,d=e.length;h<d;h++){var f=e[h].split(/[:=]/);if(b[f[0]]){f[1]=f[1].replace(/^"(.*)"$/,"$1");if(f[1]==="true"){f[1]=true}if(f[1]==="false"){f[1]=false}if(f[0]==="arrow"&&f[1]){l.notation=l.notation+" updiagonalarrow"}else{l[f[0]]=f[1]}}}}this.Push(a.menclose(j).With(l))}});MathJax.Hub.Startup.signal.Post("TeX enclose Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/enclose.js");

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/*
* /MathJax/extensions/TeX/extpfeil.js
*
* Copyright (c) 2009-2018 The MathJax Consortium
*
* Licensed under the Apache License, Version 2.0 (the "License");
* you may not use this file except in compliance with the License.
* You may obtain a copy of the License at
*
* http://www.apache.org/licenses/LICENSE-2.0
*
* Unless required by applicable law or agreed to in writing, software
* distributed under the License is distributed on an "AS IS" BASIS,
* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
* See the License for the specific language governing permissions and
* limitations under the License.
*/
MathJax.Extension["TeX/extpfeil"]={version:"2.7.5"};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var b=MathJax.InputJax.TeX,a=b.Definitions;a.Add({macros:{xtwoheadrightarrow:["Extension","AMSmath"],xtwoheadleftarrow:["Extension","AMSmath"],xmapsto:["Extension","AMSmath"],xlongequal:["Extension","AMSmath"],xtofrom:["Extension","AMSmath"],Newextarrow:["Extension","AMSmath"]}},null,true);MathJax.Hub.Register.StartupHook("TeX AMSmath Ready",function(){MathJax.Hub.Insert(a,{macros:{xtwoheadrightarrow:["xArrow",8608,12,16],xtwoheadleftarrow:["xArrow",8606,17,13],xmapsto:["xArrow",8614,6,7],xlongequal:["xArrow",61,7,7],xtofrom:["xArrow",8644,12,12],Newextarrow:"NewExtArrow"}})});b.Parse.Augment({NewExtArrow:function(c){var e=this.GetArgument(c),f=this.GetArgument(c),d=this.GetArgument(c);if(!e.match(/^\\([a-z]+|.)$/i)){b.Error(["NewextarrowArg1","First argument to %1 must be a control sequence name",c])}if(!f.match(/^(\d+),(\d+)$/)){b.Error(["NewextarrowArg2","Second argument to %1 must be two integers separated by a comma",c])}if(!d.match(/^(\d+|0x[0-9A-F]+)$/i)){b.Error(["NewextarrowArg3","Third argument to %1 must be a unicode character number",c])}e=e.substr(1);f=f.split(",");d=parseInt(d);this.setDef(e,["xArrow",d,parseInt(f[0]),parseInt(f[1])])}});MathJax.Hub.Startup.signal.Post("TeX extpfeil Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/extpfeil.js");

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/*
* /MathJax/extensions/TeX/mathchoice.js
*
* Copyright (c) 2009-2018 The MathJax Consortium
*
* Licensed under the Apache License, Version 2.0 (the "License");
* you may not use this file except in compliance with the License.
* You may obtain a copy of the License at
*
* http://www.apache.org/licenses/LICENSE-2.0
*
* Unless required by applicable law or agreed to in writing, software
* distributed under the License is distributed on an "AS IS" BASIS,
* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
* See the License for the specific language governing permissions and
* limitations under the License.
*/
MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var c="2.7.5";var a=MathJax.ElementJax.mml;var d=MathJax.InputJax.TeX;var b=d.Definitions;b.Add({macros:{mathchoice:"MathChoice"}},null,true);d.Parse.Augment({MathChoice:function(f){var i=this.ParseArg(f),e=this.ParseArg(f),g=this.ParseArg(f),h=this.ParseArg(f);this.Push(a.TeXmathchoice(i,e,g,h))}});a.TeXmathchoice=a.mbase.Subclass({type:"TeXmathchoice",notParent:true,choice:function(){if(this.selection!=null){return this.selection}if(this.choosing){return 2}this.choosing=true;var f=0,e=this.getValues("displaystyle","scriptlevel");if(e.scriptlevel>0){f=Math.min(3,e.scriptlevel+1)}else{f=(e.displaystyle?0:1)}var g=this.inherit;while(g&&g.type!=="math"){g=g.inherit}if(g){this.selection=f}this.choosing=false;return f},selected:function(){return this.data[this.choice()]},setTeXclass:function(e){return this.selected().setTeXclass(e)},isSpacelike:function(){return this.selected().isSpacelike()},isEmbellished:function(){return this.selected().isEmbellished()},Core:function(){return this.selected()},CoreMO:function(){return this.selected().CoreMO()},toHTML:function(e){e=this.HTMLcreateSpan(e);e.bbox=this.Core().toHTML(e).bbox;if(e.firstChild&&e.firstChild.style.marginLeft){e.style.marginLeft=e.firstChild.style.marginLeft;e.firstChild.style.marginLeft=""}return e},toSVG:function(){var e=this.Core().toSVG();this.SVGsaveData(e);return e},toCommonHTML:function(e){e=this.CHTMLcreateNode(e);this.CHTMLhandleStyle(e);this.CHTMLhandleColor(e);this.CHTMLaddChild(e,this.choice(),{});return e},toPreviewHTML:function(e){e=this.PHTMLcreateSpan(e);this.PHTMLhandleStyle(e);this.PHTMLhandleColor(e);this.PHTMLaddChild(e,this.choice(),{});return e}});MathJax.Hub.Startup.signal.Post("TeX mathchoice Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/mathchoice.js");

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/*
* /MathJax/extensions/TeX/mediawiki-texvc.js
*
* Copyright (c) 2009-2018 The MathJax Consortium
*
* Licensed under the Apache License, Version 2.0 (the "License");
* you may not use this file except in compliance with the License.
* You may obtain a copy of the License at
*
* http://www.apache.org/licenses/LICENSE-2.0
*
* Unless required by applicable law or agreed to in writing, software
* distributed under the License is distributed on an "AS IS" BASIS,
* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
* See the License for the specific language governing permissions and
* limitations under the License.
*/
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/*************************************************************
*
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*
* ---------------------------------------------------------------------
*
* Copyright (c) 2011-2015 The MathJax Consortium
* Copyright (c) 2015-2017 Martin Hensel
*
* Licensed under the Apache License, Version 2.0 (the "License");
* you may not use this file except in compliance with the License.
* You may obtain a copy of the License at
*
* http://www.apache.org/licenses/LICENSE-2.0
*
* Unless required by applicable law or agreed to in writing, software
* distributed under the License is distributed on an "AS IS" BASIS,
* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
* See the License for the specific language governing permissions and
* limitations under the License.
*/
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function(n,r){if(!n)return n;for(var t="",o=!1,e=0;e<n.length;e++){var a=n[e];if("string"==typeof a)t+=a;else if(this.H[a.l])t+=this.H[a.l](a);else{if(!this.L[a.l])throw["MhchemBugT","mhchem bug T. Please report."];var u=this.L[a.l];u=u.replace("{0}",a.p1||""),u=u.replace("{1}",a.p2||""),t+=u,"al"===a.l&&(o=!0)}}return r||o||(t="{"+t+"}"),t},go2:
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function(n){var t=this.GetArgument(n),o=r(t).Parse();this.string=o+this.string.substr(this.i),this.i=0},PU:
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/*
* /MathJax/extensions/TeX/newcommand.js
*
* Copyright (c) 2009-2018 The MathJax Consortium
*
* Licensed under the Apache License, Version 2.0 (the "License");
* you may not use this file except in compliance with the License.
* You may obtain a copy of the License at
*
* http://www.apache.org/licenses/LICENSE-2.0
*
* Unless required by applicable law or agreed to in writing, software
* distributed under the License is distributed on an "AS IS" BASIS,
* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
* See the License for the specific language governing permissions and
* limitations under the License.
*/
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/*
* /MathJax/extensions/TeX/noUndefined.js
*
* Copyright (c) 2009-2018 The MathJax Consortium
*
* Licensed under the Apache License, Version 2.0 (the "License");
* you may not use this file except in compliance with the License.
* You may obtain a copy of the License at
*
* http://www.apache.org/licenses/LICENSE-2.0
*
* Unless required by applicable law or agreed to in writing, software
* distributed under the License is distributed on an "AS IS" BASIS,
* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
* See the License for the specific language governing permissions and
* limitations under the License.
*/
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/*
* /MathJax/extensions/TeX/unicode.js
*
* Copyright (c) 2009-2018 The MathJax Consortium
*
* Licensed under the Apache License, Version 2.0 (the "License");
* you may not use this file except in compliance with the License.
* You may obtain a copy of the License at
*
* http://www.apache.org/licenses/LICENSE-2.0
*
* Unless required by applicable law or agreed to in writing, software
* distributed under the License is distributed on an "AS IS" BASIS,
* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
* See the License for the specific language governing permissions and
* limitations under the License.
*/
MathJax.Extension["TeX/unicode"]={version:"2.7.5",unicode:{},config:MathJax.Hub.CombineConfig("TeX.unicode",{fonts:"STIXGeneral,'Arial Unicode MS'"})};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var c=MathJax.InputJax.TeX;var a=MathJax.ElementJax.mml;var b=MathJax.Extension["TeX/unicode"].unicode;c.Definitions.Add({macros:{unicode:"Unicode"}},null,true);c.Parse.Augment({Unicode:function(e){var i=this.GetBrackets(e),d;if(i){if(i.replace(/ /g,"").match(/^(\d+(\.\d*)?|\.\d+),(\d+(\.\d*)?|\.\d+)$/)){i=i.replace(/ /g,"").split(/,/);d=this.GetBrackets(e)}else{d=i;i=null}}var j=this.trimSpaces(this.GetArgument(e)).replace(/^0x/,"x");if(!j.match(/^(x[0-9A-Fa-f]+|[0-9]+)$/)){c.Error(["BadUnicode","Argument to \\unicode must be a number"])}var h=parseInt(j.match(/^x/)?"0"+j:j);if(!b[h]){b[h]=[800,200,d,h]}else{if(!d){d=b[h][2]}}if(i){b[h][0]=Math.floor(i[0]*1000);b[h][1]=Math.floor(i[1]*1000)}var f=this.stack.env.font,g={};if(d){b[h][2]=g.fontfamily=d.replace(/"/g,"'");if(f){if(f.match(/bold/)){g.fontweight="bold"}if(f.match(/italic|-mathit/)){g.fontstyle="italic"}}}else{if(f){g.mathvariant=f}}g.unicode=[].concat(b[h]);this.Push(a.mtext(a.entity("#"+j)).With(g))}});MathJax.Hub.Startup.signal.Post("TeX unicode Ready")});MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){var a=MathJax.ElementJax.mml;var c=MathJax.Extension["TeX/unicode"].config.fonts;var b=a.mbase.prototype.HTMLgetVariant;a.mbase.Augment({HTMLgetVariant:function(){var d=b.apply(this,arguments);if(d.unicode){delete d.unicode;delete d.FONTS}if(!this.unicode){return d}d.unicode=true;if(!d.defaultFont){d=MathJax.Hub.Insert({},d);d.defaultFont={family:c}}var e=this.unicode[2];if(e){e+=","+c}else{e=c}d.defaultFont[this.unicode[3]]=[this.unicode[0],this.unicode[1],500,0,500,{isUnknown:true,isUnicode:true,font:e}];return d}})});MathJax.Hub.Register.StartupHook("SVG Jax Ready",function(){var a=MathJax.ElementJax.mml;var c=MathJax.Extension["TeX/unicode"].config.fonts;var b=a.mbase.prototype.SVGgetVariant;a.mbase.Augment({SVGgetVariant:function(){var d=b.call(this);if(d.unicode){delete d.unicode;delete d.FONTS}if(!this.unicode){return d}d.unicode=true;if(!d.forceFamily){d=MathJax.Hub.Insert({},d)}d.defaultFamily=c;d.noRemap=true;d.h=this.unicode[0];d.d=this.unicode[1];return d}})});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/unicode.js");

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/*
* /MathJax/extensions/TeX/verb.js
*
* Copyright (c) 2009-2018 The MathJax Consortium
*
* Licensed under the Apache License, Version 2.0 (the "License");
* you may not use this file except in compliance with the License.
* You may obtain a copy of the License at
*
* http://www.apache.org/licenses/LICENSE-2.0
*
* Unless required by applicable law or agreed to in writing, software
* distributed under the License is distributed on an "AS IS" BASIS,
* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
* See the License for the specific language governing permissions and
* limitations under the License.
*/
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//
// http://www.apache.org/licenses/LICENSE-2.0
//
// Unless required by applicable law or agreed to in writing, software
// distributed under the License is distributed on an "AS IS" BASIS,
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// See the License for the specific language governing permissions and
// limitations under the License.
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type:goog.ModuleType.ES6,moduleId:""}},registerGoogModuleExports:function(a,b){goog.loadedModules_[a]={exports:b,type:goog.ModuleType.GOOG,moduleId:a}},clearModuleState:function(){goog.moduleLoaderState_=null},defer:function(b){if(c)throw Error("Cannot register with defer after the call to load.");a.defer_(d,b)},areDepsLoaded:function(){return a.areDepsLoaded_(d.requires)}};try{d.load(f)}finally{c=!0}})();b&&this.pause_()},goog.DebugLoader_.prototype.pause_=function(){this.paused_=!0},goog.DebugLoader_.prototype.resume_=
function(){this.paused_&&(this.paused_=!1,this.loadDeps_())},goog.DebugLoader_.prototype.loading_=function(a){this.loadingDeps_.push(a)},goog.DebugLoader_.prototype.loaded_=function(a){for(var b=0;b<this.loadingDeps_.length;b++)if(this.loadingDeps_[b]==a){this.loadingDeps_.splice(b,1);break}for(b=0;b<this.deferredQueue_.length;b++)if(this.deferredQueue_[b]==a.path){this.deferredQueue_.splice(b,1);break}if(this.loadingDeps_.length==this.deferredQueue_.length&&!this.depsToLoad_.length)for(;this.deferredQueue_.length;)this.requested(this.deferredQueue_.shift(),
!0);a.loaded()},goog.DebugLoader_.prototype.areDepsLoaded_=function(a){for(var b=0;b<a.length;b++){var c=this.getPathFromDeps_(a[b]);if(!c||!(c in this.deferredCallbacks_||goog.isProvided_(a[b])))return!1}return!0},goog.DebugLoader_.prototype.getPathFromDeps_=function(a){return a in this.idToPath_?this.idToPath_[a]:a in this.dependencies_?a:null},goog.DebugLoader_.prototype.defer_=function(a,b){this.deferredCallbacks_[a.path]=b;this.deferredQueue_.push(a.path)},goog.LoadController=function(){},goog.LoadController.prototype.pause=
function(){},goog.LoadController.prototype.resume=function(){},goog.LoadController.prototype.loaded=function(){},goog.LoadController.prototype.pending=function(){},goog.LoadController.prototype.registerEs6ModuleExports=function(a,b){},goog.LoadController.prototype.setModuleState=function(a,b){},goog.LoadController.prototype.clearModuleState=function(){},goog.LoadController.prototype.defer=function(a){},goog.LoadController.prototype.areDepsLoaded=function(){},goog.Dependency=function(a,b,c,d,e){this.path=
a;this.relativePath=b;this.provides=c;this.requires=d;this.loadFlags=e;this.loaded_=!1;this.loadCallbacks_=[]},goog.Dependency.prototype.onLoad=function(a){this.loaded_?a():this.loadCallbacks_.push(a)},goog.Dependency.prototype.loaded=function(){this.loaded_=!0;var a=this.loadCallbacks_;this.loadCallbacks_=[];for(var b=0;b<a.length;b++)a[b]()},goog.Dependency.defer_=!1,goog.Dependency.callbackMap_={},goog.Dependency.registerCallback_=function(a){var b=Math.random().toString(32);goog.Dependency.callbackMap_[b]=
a;return b},goog.Dependency.unregisterCallback_=function(a){delete goog.Dependency.callbackMap_[a]},goog.Dependency.callback_=function(a,b){if(a in goog.Dependency.callbackMap_){for(var c=goog.Dependency.callbackMap_[a],d=[],e=1;e<arguments.length;e++)d.push(arguments[e]);c.apply(void 0,d)}else throw Error("Callback key "+a+" does not exist (was base.js loaded more than once?).");},goog.Dependency.prototype.load=function(a){if(goog.global.CLOSURE_IMPORT_SCRIPT)goog.global.CLOSURE_IMPORT_SCRIPT(this.path)?
a.loaded():a.pause();else if(goog.inHtmlDocument_()){var b=goog.global.document;if("complete"==b.readyState&&!goog.ENABLE_CHROME_APP_SAFE_SCRIPT_LOADING){if(/\bdeps.js$/.test(this.path)){a.loaded();return}throw Error('Cannot write "'+this.path+'" after document load');}if(!goog.ENABLE_CHROME_APP_SAFE_SCRIPT_LOADING&&goog.isDocumentLoading_()){var c=goog.Dependency.registerCallback_(function(b){goog.DebugLoader_.IS_OLD_IE_&&"complete"!=b.readyState||(goog.Dependency.unregisterCallback_(c),a.loaded())});
b.write('<script src="'+this.path+'" '+(goog.DebugLoader_.IS_OLD_IE_?"onreadystatechange":"onload")+"=\"goog.Dependency.callback_('"+c+'\', this)" type="text/javascript" '+(goog.Dependency.defer_?"defer":"")+">\x3c/script>")}else{var d=b.createElement("script");d.defer=goog.Dependency.defer_;d.async=!1;d.type="text/javascript";var e=goog.getScriptNonce();e&&(d.nonce=e);goog.DebugLoader_.IS_OLD_IE_?(a.pause(),d.onreadystatechange=function(){if("loaded"==d.readyState||"complete"==d.readyState)a.loaded(),
a.resume()}):d.onload=function(){d.onload=null;a.loaded()};d.src=this.path;b.head.appendChild(d)}}else goog.logToConsole_("Cannot use default debug loader outside of HTML documents."),"deps.js"==this.relativePath?(goog.logToConsole_("Consider setting CLOSURE_IMPORT_SCRIPT before loading base.js, or seting CLOSURE_NO_DEPS to true."),a.loaded()):a.pause()},goog.Es6ModuleDependency=function(a,b,c,d,e){goog.Dependency.call(this,a,b,c,d,e)},goog.inherits(goog.Es6ModuleDependency,goog.Dependency),goog.Es6ModuleDependency.prototype.load=
function(a){function b(a,b){b?d.write('<script type="module" crossorigin>'+b+"\x3c/script>"):d.write('<script type="module" crossorigin src="'+a+'">\x3c/script>')}function c(a,b){var c=d.createElement("script");c.defer=!0;c.async=!1;c.type="module";c.setAttribute("crossorigin",!0);var e=goog.getScriptNonce();e&&(c.nonce=e);b?c.textContent=b:c.src=a;d.head.appendChild(c)}if(goog.global.CLOSURE_IMPORT_SCRIPT)goog.global.CLOSURE_IMPORT_SCRIPT(this.path)?a.loaded():a.pause();else if(goog.inHtmlDocument_()){var d=
goog.global.document,e=this;if(goog.isDocumentLoading_()){var f=b;goog.Dependency.defer_=!0}else f=c;var g=goog.Dependency.registerCallback_(function(){goog.Dependency.unregisterCallback_(g);a.setModuleState(e.path,goog.ModuleType.ES6)});f(void 0,'goog.Dependency.callback_("'+g+'")');f(this.path,void 0);var h=goog.Dependency.registerCallback_(function(b){goog.Dependency.unregisterCallback_(h);a.registerEs6ModuleExports(e.path,b)});f(void 0,'import * as m from "'+this.path+'"; goog.Dependency.callback_("'+
h+'", m)');var k=goog.Dependency.registerCallback_(function(){goog.Dependency.unregisterCallback_(k);a.clearModuleState();a.loaded()});f(void 0,'goog.Dependency.callback_("'+k+'")')}else goog.logToConsole_("Cannot use default debug loader outside of HTML documents."),a.pause()},goog.TransformedDependency=function(a,b,c,d,e){goog.Dependency.call(this,a,b,c,d,e);this.contents_=null},goog.inherits(goog.TransformedDependency,goog.Dependency),goog.TransformedDependency.prototype.load=function(a){function b(){e.contents_=
goog.loadFileSync_(e.path);e.contents_&&(e.contents_=e.transform(e.contents_),e.contents_&&(e.contents_+="\n//# sourceURL="+e.path))}function c(){b();if(e.contents_){f&&a.setModuleState(e.path,goog.ModuleType.ES6);try{var c=e.contents_;e.contents_=null;goog.globalEval(c)}finally{f&&a.clearModuleState()}f&&goog.global.$jscomp.require.ensure([e.path],function(){a.registerEs6ModuleExports(e.path,goog.global.$jscomp.require(e.path))});a.loaded()}}function d(){var a=goog.global.document,b=goog.Dependency.registerCallback_(function(){goog.Dependency.unregisterCallback_(b);
c()});a.write('<script type="text/javascript">'+goog.protectScriptTag_('goog.Dependency.callback_("'+b+'");')+"\x3c/script>")}var e=this;if(goog.global.CLOSURE_IMPORT_SCRIPT)b(),this.contents_&&goog.global.CLOSURE_IMPORT_SCRIPT("",this.contents_)?(this.contents_=null,a.loaded()):a.pause();else{var f=this.loadFlags.module==goog.ModuleType.ES6;if(1<a.pending().length&&goog.DebugLoader_.IS_OLD_IE_||goog.Dependency.defer_&&goog.isDocumentLoading_())a.defer(function(){c()});else if(f&&goog.inHtmlDocument_()&&
goog.isDocumentLoading_()){goog.Dependency.defer_=!0;var g=goog.global.document;a.pause();var h=g.onreadystatechange;g.onreadystatechange=function(){if(g.attachEvent?"complete"==g.readyState:"interactive"==g.readyState)g.onreadystatechange=h,c(),a.resume();goog.isFunction(h)&&h.apply(void 0,arguments)}}else!goog.DebugLoader_.IS_OLD_IE_&&goog.inHtmlDocument_()&&goog.isDocumentLoading_()?d():c()}},goog.TransformedDependency.prototype.transform=function(a){},goog.TranspiledDependency=function(a,b,c,
d,e,f){goog.TransformedDependency.call(this,a,b,c,d,e);this.transpiler=f},goog.inherits(goog.TranspiledDependency,goog.TransformedDependency),goog.TranspiledDependency.prototype.transform=function(a){return this.transpiler.transpile(a,this.path)},goog.GoogModuleDependency=function(a,b,c,d,e,f,g){goog.TransformedDependency.call(this,a,b,c,d,e);this.needsTranspile_=f;this.transpiler_=g},goog.inherits(goog.GoogModuleDependency,goog.TransformedDependency),goog.GoogModuleDependency.prototype.transform=
function(a){this.needsTranspile_&&(a=this.transpiler_.transpile(a,this.path));return goog.LOAD_MODULE_USING_EVAL&&goog.isDef(goog.global.JSON)?"goog.loadModule("+goog.global.JSON.stringify(a+"\n//# sourceURL="+this.path+"\n")+', "'+this.path+'");':'goog.loadModule(function(exports) {"use strict";'+a+'\n;return exports}, "'+this.path+'");\n//# sourceURL='+this.path+"\n"},goog.DebugLoader_.IS_OLD_IE_=!(goog.global.atob||!goog.global.document||!goog.global.document.all),goog.DebugLoader_.prototype.addDependency=
function(a,b,c,d){b=b||[];a=a.replace(/\\/g,"/");var e=goog.normalizePath_(goog.basePath+a);d&&"boolean"!==typeof d||(d=d?{module:goog.ModuleType.GOOG}:{});c=this.factory_.createDependency(e,a,b,c,d,goog.transpiler_.needsTranspile(d.lang||"es3",d.module));this.dependencies_[e]=c;for(c=0;c<b.length;c++)this.idToPath_[b[c]]=e;this.idToPath_[a]=e},goog.DependencyFactory=function(a){this.transpiler=a},goog.DependencyFactory.prototype.createDependency=function(a,b,c,d,e,f){return e.module==goog.ModuleType.GOOG?
new goog.GoogModuleDependency(a,b,c,d,e,f,this.transpiler):f?new goog.TranspiledDependency(a,b,c,d,e,this.transpiler):e.module==goog.ModuleType.ES6?new goog.Es6ModuleDependency(a,b,c,d,e):new goog.Dependency(a,b,c,d,e)},goog.debugLoader_=new goog.DebugLoader_,goog.loadClosureDeps=function(){goog.debugLoader_.loadClosureDeps()},goog.setDependencyFactory=function(a){goog.debugLoader_.setDependencyFactory(a)},goog.global.CLOSURE_NO_DEPS||goog.debugLoader_.loadClosureDeps(),goog.bootstrap=function(a,
b){goog.debugLoader_.bootstrap(a,b)});var sre={Variables:function(){}};sre.Variables.VERSION="2.2.2";sre.Variables.LOCALES=["en","es"];sre.Variables.mathjaxVersion="2.7.4";sre.Variables.url="https://cdn.jsdelivr.net/npm/speech-rule-engine@"+sre.Variables.VERSION+"/lib/mathmaps";sre.Variables.WGXpath="https://cdnjs.cloudflare.com/ajax/libs/mathjax/"+sre.Variables.mathjaxVersion+"/extensions/a11y/wgxpath.install.js";sre.SystemExternal=function(){};sre.SystemExternal.require=function(a){return"undefined"!==typeof process&&"undefined"!==typeof require?require(a):null};sre.SystemExternal.documentSupported=function(){return"undefined"!=typeof document};sre.SystemExternal.process=sre.SystemExternal.require("process");sre.SystemExternal.xmldom=sre.SystemExternal.documentSupported()?window:sre.SystemExternal.require("xmldom-sre");
sre.SystemExternal.document=sre.SystemExternal.documentSupported()?document:(new sre.SystemExternal.xmldom.DOMImplementation).createDocument("","",0);sre.SystemExternal.xpath=sre.SystemExternal.documentSupported()?document:function(){var a={document:{}};sre.SystemExternal.require("wicked-good-xpath").install(a);a.document.XPathResult=a.XPathResult;return a.document}();sre.SystemExternal.commander=sre.SystemExternal.documentSupported()?null:sre.SystemExternal.require("commander");
sre.SystemExternal.fs=sre.SystemExternal.documentSupported()?null:sre.SystemExternal.require("fs");sre.SystemExternal.xm=sre.SystemExternal.documentSupported()?null:sre.SystemExternal.require("xml-mapping");sre.SystemExternal.url=sre.Variables.url;sre.SystemExternal.jsonPath=function(){return(sre.SystemExternal.process&&"undefined"!==typeof global?sre.SystemExternal.process.env.SRE_JSON_PATH||global.SRE_JSON_PATH||sre.SystemExternal.process.cwd():sre.SystemExternal.url)+"/"}();
sre.SystemExternal.WGXpath=sre.Variables.WGXpath;sre.SystemExternal.wgxpath=null;sre.BrowserUtil={};sre.BrowserUtil.detectIE=function(){if(!("undefined"!==typeof window&&"ActiveXObject"in window&&"clipboardData"in window))return!1;sre.BrowserUtil.loadMapsForIE_();sre.BrowserUtil.loadWGXpath_();return!0};sre.BrowserUtil.detectEdge=function(){if(!("undefined"!==typeof window&&"MSGestureEvent"in window&&"chrome"in window&&null==window.chrome.loadTimes))return!1;document.evaluate=null;sre.BrowserUtil.loadWGXpath_(!0);return!0};sre.BrowserUtil.mapsForIE=null;
sre.BrowserUtil.loadWGXpath_=function(a){sre.BrowserUtil.loadScript(sre.SystemExternal.WGXpath);sre.BrowserUtil.installWGXpath_(a)};
sre.BrowserUtil.installWGXpath_=function(a,b){var c=b||1;"undefined"===typeof wgxpath&&10>c?setTimeout(function(){sre.BrowserUtil.installWGXpath_(a,c++)},200):10<=c||(sre.SystemExternal.wgxpath=wgxpath,a?sre.SystemExternal.wgxpath.install({document:document}):sre.SystemExternal.wgxpath.install(),sre.XpathUtil.xpathEvaluate=document.evaluate,sre.XpathUtil.xpathResult=XPathResult,sre.XpathUtil.createNSResolver=document.createNSResolver)};
sre.BrowserUtil.loadMapsForIE_=function(){sre.BrowserUtil.loadScript(sre.SystemExternal.jsonPath+"mathmaps_ie.js")};sre.BrowserUtil.loadScript=function(a){var b=sre.SystemExternal.document.createElement("script");b.type="text/javascript";b.src=a;sre.SystemExternal.document.head?sre.SystemExternal.document.head.appendChild(b):sre.SystemExternal.document.body.appendChild(b)};sre.DynamicProperties=function(a,b){this.properties_=a;this.order_=b||Object.keys(a)};sre.DynamicProperties.prototype.getProperties=function(){return this.properties_};sre.DynamicProperties.prototype.getOrder=function(){return this.order_};sre.DynamicProperties.prototype.getAxes=function(){return this.order_};sre.DynamicProperties.prototype.getProperty=function(a){return this.properties_[a]};sre.DynamicProperties.prototype.updateProperties=function(a){this.properties_=a};
sre.DynamicProperties.prototype.allProperties=function(){var a=[];this.order_.forEach(goog.bind(function(b){a.push(this.getProperty(b))},this));return a};sre.DynamicProperties.prototype.toString=function(){var a=[];this.order_.forEach(goog.bind(function(b){a.push(b+": "+this.getProperty(b).toString())},this));return a.join("\n")};
sre.DynamicCstr=function(a,b){this.components_=a;var c={},d;for(d in a){var e=a[d];c[d]=[e];sre.DynamicCstr.Values_.getInstance().add(d,e)}sre.DynamicProperties.call(this,c,b)};goog.inherits(sre.DynamicCstr,sre.DynamicProperties);sre.DynamicCstr.prototype.getComponents=function(){return this.components_};sre.DynamicCstr.prototype.getValue=function(a){return this.components_[a]};
sre.DynamicCstr.prototype.getValues=function(){var a=[];this.order_.forEach(goog.bind(function(b){a.push(this.getValue(b))},this));return a};sre.DynamicCstr.prototype.toString=function(){return this.getValues().join(".")};sre.DynamicCstr.prototype.equal=function(a){var b=a.getAxes();if(this.order_.length!==b.length)return!1;for(var c=0,d;d=b[c];c++){var e=this.getValue(d);if(!e||a.getValue(d)!==e)return!1}return!0};
sre.DynamicCstr.Axis={DOMAIN:"domain",STYLE:"style",LOCALE:"locale",TOPIC:"topic",MODALITY:"modality"};sre.DynamicCstr.Values_=function(){this.axisToValues=sre.DynamicCstr.Values_.makeAxisValueObject_()};goog.addSingletonGetter(sre.DynamicCstr.Values_);sre.DynamicCstr.Values_.prototype.add=function(a,b){this.axisToValues[a][b]=!0};sre.DynamicCstr.Values_.prototype.get=function(){var a={},b=sre.DynamicCstr.Values_.getInstance().axisToValues,c;for(c in b)a[c]=Object.keys(b[c]);return a};
sre.DynamicCstr.Values_.makeAxisValueObject_=function(){var a={},b;for(b in sre.DynamicCstr.Axis)a[sre.DynamicCstr.Axis[b]]={};return a};sre.DynamicCstr.getAxisValues=function(){return sre.DynamicCstr.Values_.getInstance().get()};sre.DynamicCstr.DEFAULT_ORDER=[sre.DynamicCstr.Axis.LOCALE,sre.DynamicCstr.Axis.DOMAIN,sre.DynamicCstr.Axis.STYLE,sre.DynamicCstr.Axis.TOPIC,sre.DynamicCstr.Axis.MODALITY];sre.DynamicCstr.DEFAULT_VALUE="default";sre.DynamicCstr.DEFAULT_VALUES={};
sre.DynamicCstr.DEFAULT_VALUES[sre.DynamicCstr.Axis.LOCALE]="en";sre.DynamicCstr.DEFAULT_VALUES[sre.DynamicCstr.Axis.DOMAIN]=sre.DynamicCstr.DEFAULT_VALUE;sre.DynamicCstr.DEFAULT_VALUES[sre.DynamicCstr.Axis.STYLE]=sre.DynamicCstr.DEFAULT_VALUE;sre.DynamicCstr.DEFAULT_VALUES[sre.DynamicCstr.Axis.TOPIC]=sre.DynamicCstr.DEFAULT_VALUE;sre.DynamicCstr.DEFAULT_VALUES[sre.DynamicCstr.Axis.MODALITY]=sre.DynamicCstr.DEFAULT_VALUE;sre.DynamicCstr.Parser=function(a){this.order_=a};
sre.DynamicCstr.Parser.prototype.parse=function(a){a=a.split(".");var b={};if(a.length>this.order_.length)throw Error("Invalid dynamic constraint: "+b);for(var c=0,d;d=this.order_[c],a.length;c++){var e=a.shift();b[d]=e}return new sre.DynamicCstr(b,this.order_.slice(0,c))};sre.DynamicCstr.Comparator=function(){};sre.DynamicCstr.Comparator.prototype.getReference=function(){};sre.DynamicCstr.Comparator.prototype.setReference=function(a,b){};sre.DynamicCstr.Comparator.prototype.match=function(a){};
sre.DynamicCstr.Comparator.prototype.compare=function(a,b){};sre.DynamicCstr.DefaultComparator=function(a,b){this.reference_=a;this.fallback_=b||new sre.DynamicProperties(a.getProperties(),a.getOrder());this.order_=this.reference_.getOrder()};sre.DynamicCstr.DefaultComparator.prototype.getReference=function(){return this.reference_};
sre.DynamicCstr.DefaultComparator.prototype.setReference=function(a,b){this.reference_=a;this.fallback_=b||new sre.DynamicProperties(a.getProperties(),a.getOrder());this.order_=this.reference_.getOrder()};sre.DynamicCstr.DefaultComparator.prototype.match=function(a){var b=a.getAxes();return b.length===this.reference_.getAxes().length&&b.every(goog.bind(function(b){var c=a.getValue(b);return c===this.reference_.getValue(b)||-1!==this.fallback_.getProperty(b).indexOf(c)},this))};
sre.DynamicCstr.DefaultComparator.prototype.compare=function(a,b){for(var c=!1,d=0,e;e=this.order_[d];d++){var f=a.getValue(e),g=b.getValue(e);if(!c){var h=this.reference_.getValue(e);if(h===f&&h!==g)return-1;if(h===g&&h!==f)return 1;if(h===f&&h===g)continue;h!==f&&h!==g&&(c=!0)}e=this.fallback_.getProperty(e);f=e.indexOf(f);g=e.indexOf(g);if(f<g)return-1;if(g<f)return 1}return 0};
sre.DynamicProperties.create=function(a){for(var b=sre.DynamicCstr.DEFAULT_ORDER,c={},d=Array.prototype.slice.call(arguments,0),e=0,f=d.length,g=b.length;e<f&&e<g;e++)c[b[e]]=d[e];return new sre.DynamicProperties(c)};sre.DynamicCstr.create=function(a){for(var b=sre.DynamicCstr.DEFAULT_ORDER,c={},d=Array.prototype.slice.call(arguments,0),e=0,f=d.length,g=b.length;e<f&&e<g;e++)c[b[e]]=d[e];return new sre.DynamicCstr(c)};
sre.DynamicCstr.defaultCstr=function(){return sre.DynamicCstr.create.apply(null,sre.DynamicCstr.DEFAULT_ORDER.map(function(a){return sre.DynamicCstr.DEFAULT_VALUES[a]}))};sre.DynamicCstr.validOrder=function(a){var b=sre.DynamicCstr.DEFAULT_ORDER.slice();return a.every(function(a){a=b.indexOf(a);return-1!==a&&b.splice(a,1)})};sre.Engine=function(){this.alternativeHost=this.activeHost=null;this.evaluator=sre.Engine.defaultEvaluator;this.dynamicCstr=sre.DynamicCstr.defaultCstr();this.comparator=null;this.domain=sre.DynamicCstr.DEFAULT_VALUES[sre.DynamicCstr.Axis.DOMAIN];this.style="short";this.locale=sre.DynamicCstr.DEFAULT_VALUES[sre.DynamicCstr.Axis.LOCALE];this.walker="Syntax";this.semantics=!0;this.mode=sre.Engine.Mode.SYNC;this.speech=sre.Engine.Speech.SHALLOW;this.structure=!1;this.ruleSets=[];this.cache=!0;this.markup=
sre.Engine.Markup.NONE;this.isEdge=this.isIE=this.strict=!1;this.setupTests_=[]};goog.addSingletonGetter(sre.Engine);sre.Engine.personalityProps={PITCH:"pitch",RATE:"rate",VOLUME:"volume",PAUSE:"pause"};sre.Engine.Mode={SYNC:"sync",ASYNC:"async",HTTP:"http"};sre.Engine.Speech={NONE:"none",SHALLOW:"shallow",DEEP:"deep"};sre.Engine.Markup={NONE:"none",SSML:"ssml",ACSS:"acss",SABLE:"sable",VOICEXML:"voicexml"};sre.Engine.registerTest=function(a){sre.Engine.getInstance().setupTests_.push(a)};
sre.Engine.isReady=function(){return sre.Engine.getInstance().setupTests_.every(function(a){return a()})};sre.Engine.prototype.setupBrowsers=function(){this.isIE=sre.BrowserUtil.detectIE();this.isEdge=sre.BrowserUtil.detectEdge()};sre.Engine.prototype.getAxisValues=function(){return sre.DynamicCstr.getAxisValues()};sre.Engine.defaultEvaluator=function(a,b){return a};sre.AudioUtil={};sre.AudioUtil.mergePause=function(a,b,c){return a?{pause:(c||function(a,b){return a+b}).call(null,a.pause,b.pause)}:b};sre.AudioUtil.mergeMarkup=function(a,b){delete a.open;b.close.forEach(function(b){delete a[b]});b.open.forEach(function(c){a[c]=b[c]});var c=Object.keys(a);a.open=c};
sre.AudioUtil.sortClose=function(a,b){if(1>=a.length)return a;for(var c=[],d=0,e;e=b[d],a.length;d++)e.close&&e.close.length&&e.close.forEach(function(b){var d=a.indexOf(b);-1!==d&&(c.unshift(b),a.splice(d,1))});return c};sre.AudioUtil.PersonalityRanges_={};sre.AudioUtil.LastOpen_=[];
sre.AudioUtil.personalityMarkup=function(a){sre.AudioUtil.PersonalityRanges_={};sre.AudioUtil.LastOpen_=[];for(var b=[],c={},d=0,e;e=a[d];d++){var f=null,g=e.descriptionString();e=e.personality;void 0!==e[sre.Engine.personalityProps.PAUSE]&&(f={},f[sre.Engine.personalityProps.PAUSE]=e[sre.Engine.personalityProps.PAUSE],delete e[sre.Engine.personalityProps.PAUSE]);e=sre.AudioUtil.personalityDiff_(e,c);sre.AudioUtil.appendMarkup_(b,g,e,f,!0)}return b};
sre.AudioUtil.isMarkupElement=function(a){return"object"===typeof a&&a.open};sre.AudioUtil.isPauseElement=function(a){return"object"===typeof a&&1===Object.keys(a).length&&Object.keys(a)[0]===sre.Engine.personalityProps.PAUSE};sre.AudioUtil.isStringElement=function(a){return"object"===typeof a&&1===Object.keys(a).length&&"string"===Object.keys(a)[0]};
sre.AudioUtil.appendMarkup_=function(a,b,c,d,e){if(e){if((e=a[a.length-1])&&!b&&d&&sre.AudioUtil.isPauseElement(e)){var f=sre.Engine.personalityProps.PAUSE;e[f]+=d[f];d=null}e&&b&&0===Object.keys(c).length&&sre.AudioUtil.isStringElement(e)&&(e.string+=" "+b,b="")}0!==Object.keys(c).length&&a.push(c);b&&a.push({string:b});d&&a.push(d)};
sre.AudioUtil.personalityDiff_=function(a,b){if(!b)return a;var c={};for(h in sre.Engine.personalityProps){var d=sre.Engine.personalityProps[h],e=a[d],f=b[d];if(!(!e&&!f||e&&f&&e===f)){var g=e||0;sre.AudioUtil.isMarkupElement(c)||(c.open=[],c.close=[]);e||c.close.push(d);f||c.open.push(d);f&&e&&(c.close.push(d),c.open.push(d));b[d]=g;c[d]=g;sre.AudioUtil.PersonalityRanges_[d]?sre.AudioUtil.PersonalityRanges_[d].push(g):sre.AudioUtil.PersonalityRanges_[d]=[g]}}if(sre.AudioUtil.isMarkupElement(c)){for(a=
c.close.slice();0<a.length;){var h=sre.AudioUtil.LastOpen_.pop();d=sre.BaseUtil.setdifference(h,a);a=sre.BaseUtil.setdifference(a,h);h=d;if(0===a.length)0!==h.length&&sre.AudioUtil.LastOpen_.push(h);else if(0!==h.length)for(c.close=c.close.concat(h),c.open=c.open.concat(h),d=0;e=h[d];d++)c[e]=b[e]}sre.AudioUtil.LastOpen_.push(c.open)}return c};sre.AudioRenderer=function(){};sre.AudioRenderer.prototype.setSeparator=function(a){};sre.AudioRenderer.prototype.getSeparator=function(){};sre.AudioRenderer.prototype.markup=function(a){};sre.AudioRenderer.prototype.error=function(a){};sre.AudioRenderer.prototype.merge=function(a){};sre.AbstractAudioRenderer=function(){this.separator_=" "};sre.AbstractAudioRenderer.prototype.setSeparator=function(a){this.separator_=a};sre.AbstractAudioRenderer.prototype.getSeparator=function(){return this.separator_};sre.AbstractAudioRenderer.prototype.markup=goog.abstractMethod;sre.AbstractAudioRenderer.prototype.error=function(a){return null};sre.AbstractAudioRenderer.prototype.merge=function(a){return a.join(" ")};sre.MarkupRenderer=function(){sre.AbstractAudioRenderer.call(this);this.scaleFunction_=null};goog.inherits(sre.MarkupRenderer,sre.AbstractAudioRenderer);sre.MarkupRenderer.prototype.setScaleFunction=function(a,b,c,d,e){var f=e||0;this.scaleFunction_=function(e){e=(e-a)/(b-a);return+(Math.round(c*(1-e)+d*e+"e+"+f)+"e-"+f)}};sre.MarkupRenderer.prototype.applyScaleFunction=function(a){return this.scaleFunction_?this.scaleFunction_(a):a};sre.MarkupRenderer.prototype.pause=goog.abstractMethod;
sre.MarkupRenderer.prototype.prosodyElement=goog.abstractMethod;sre.AcssRenderer=function(){sre.MarkupRenderer.call(this)};goog.inherits(sre.AcssRenderer,sre.MarkupRenderer);
sre.AcssRenderer.prototype.markup=function(a){this.setScaleFunction(-2,2,0,10,0);a=sre.AudioUtil.personalityMarkup(a);for(var b=[],c={open:[]},d=null,e=!1,f=0,g;g=a[f];f++)if(sre.AudioUtil.isMarkupElement(g))sre.AudioUtil.mergeMarkup(c,g);else if(sre.AudioUtil.isPauseElement(g))e&&(d=sre.AudioUtil.mergePause(d,g,Math.max));else{g='"'+g.string+'"';e=!0;d&&(b.push(this.pause(d)),d=null);var h=this.prosody_(c);b.push(h?"(text ("+h+") "+g+")":g)}return"(exp "+b.join(this.getSeparator())+")"};
sre.AcssRenderer.prototype.merge=function(a){return"(exp "+a.map(function(a){return a.replace(/^\(exp /,"").replace(/\)$/,"")}).join(" ")+")"};sre.AcssRenderer.prototype.error=function(a){return'(error "'+a+'")'};sre.AcssRenderer.prototype.prosody_=function(a){for(var b=a.open,c=[],d=0,e;e=b[d];d++)c.push(this.prosodyElement(e,a[e]));return c.join(" ")};
sre.AcssRenderer.prototype.prosodyElement=function(a,b){b=this.applyScaleFunction(b);switch(a){case sre.Engine.personalityProps.RATE:return"(richness . "+b+")";case sre.Engine.personalityProps.PITCH:return"(average-pitch . "+b+")";case sre.Engine.personalityProps.VOLUME:return"(stress . "+b+")"}return"(value . "+b+")"};sre.AcssRenderer.prototype.pause=function(a){return"(pause . "+a[sre.Engine.personalityProps.PAUSE]+")"};sre.XmlRenderer=function(){sre.MarkupRenderer.call(this)};goog.inherits(sre.XmlRenderer,sre.MarkupRenderer);
sre.XmlRenderer.prototype.markup=function(a){this.setScaleFunction(-2,2,-100,100,2);a=sre.AudioUtil.personalityMarkup(a);for(var b=[],c=[],d=0,e;e=a[d];d++)if(e.string)b.push(e.string);else if(sre.AudioUtil.isPauseElement(e))b.push(this.pause(e));else{if(e.close.length)for(var f=0;f<e.close.length;f++){var g=c.pop();if(-1===e.close.indexOf(g))throw Error("Unknown closing markup element: "+g);b.push(this.closeTag(g))}e.open.length&&sre.AudioUtil.sortClose(e.open.slice(),a.slice(d+1)).forEach(goog.bind(function(a){b.push(this.prosodyElement(a,
e[a]));c.push(a)},this))}return b.join(this.getSeparator())};sre.XmlRenderer.prototype.closeTag=goog.abstractMethod;sre.SableRenderer=function(){sre.XmlRenderer.call(this)};goog.inherits(sre.SableRenderer,sre.XmlRenderer);sre.SableRenderer.prototype.pause=function(a){return'<BREAK MSEC="'+a[sre.Engine.personalityProps.PAUSE]+'"/>'};
sre.SableRenderer.prototype.prosodyElement=function(a,b){b=this.applyScaleFunction(b);switch(a){case sre.Engine.personalityProps.PITCH:return'<PITCH BASE="'+b+'%">';case sre.Engine.personalityProps.RATE:return'<RATE SPEED="'+b+'%">';case sre.Engine.personalityProps.VOLUME:return'<VOLUME LEVEL="'+b+'%">';default:return"<"+a.toUpperCase()+' VALUE="'+b+'">'}};sre.SableRenderer.prototype.closeTag=function(a){return"</"+a.toUpperCase()+">"};sre.SsmlRenderer=function(){sre.XmlRenderer.call(this)};goog.inherits(sre.SsmlRenderer,sre.XmlRenderer);sre.SsmlRenderer.prototype.pause=function(a){return'<BREAK TIME="'+a[sre.Engine.personalityProps.PAUSE]+'ms"/>'};sre.SsmlRenderer.prototype.prosodyElement=function(a,b){b=this.applyScaleFunction(b);b=0>b?b.toString():"+"+b;return"<PROSODY "+a.toUpperCase()+'="'+b+(a===sre.Engine.personalityProps.VOLUME?">":'%">')};sre.SsmlRenderer.prototype.closeTag=function(a){return"</PROSODY>"};sre.BaseUtil={};sre.BaseUtil.removeEmpty=function(a){return a.filter(function(a){return a})};sre.BaseUtil.interleaveLists=function(a,b){for(var c=[];a.length||b.length;)a.length&&c.push(a.shift()),b.length&&c.push(b.shift());return c};sre.BaseUtil.setdifference=function(a,b){return a?b?a.filter(function(a){return 0>b.indexOf(a)}):a:[]};sre.BaseUtil.union=function(a,b){return a&&b?a.concat(sre.BaseUtil.setdifference(b,a)):a||b||[]};sre.BaseUtil.makePath=function(a){return a.match("/$")?a:a+"/"};sre.StringRenderer=function(){sre.AbstractAudioRenderer.call(this)};goog.inherits(sre.StringRenderer,sre.AbstractAudioRenderer);sre.StringRenderer.prototype.markup=function(a){return sre.BaseUtil.removeEmpty(a.map(function(a){return a.descriptionString()})).join(this.getSeparator())};sre.AuralRendering=function(){};goog.addSingletonGetter(sre.AuralRendering);sre.AuralRendering.prototype.setSeparator=function(a){var b=sre.AuralRendering.rendererMapping_[sre.Engine.getInstance().markup];b&&b.setSeparator(a)};sre.AuralRendering.prototype.getSeparator=function(){var a=sre.AuralRendering.rendererMapping_[sre.Engine.getInstance().markup];return a?a.getSeparator():""};
sre.AuralRendering.prototype.markup=function(a){var b=sre.AuralRendering.rendererMapping_[sre.Engine.getInstance().markup];return b?b.markup(a):""};sre.AuralRendering.prototype.merge=function(a){var b=sre.AuralRendering.rendererMapping_[sre.Engine.getInstance().markup];return b?b.merge(a):a.join()};sre.AuralRendering.prototype.error=function(a){var b=sre.AuralRendering.rendererMapping_[sre.Engine.getInstance().markup];return b?b.error(a):""};
sre.AuralRendering.registerRenderer=function(a,b){sre.AuralRendering.rendererMapping_[a]=b};sre.AuralRendering.rendererMapping_={};sre.AuralRendering.registerRenderer(sre.Engine.Markup.NONE,new sre.StringRenderer);sre.AuralRendering.registerRenderer(sre.Engine.Markup.ACSS,new sre.AcssRenderer);sre.AuralRendering.registerRenderer(sre.Engine.Markup.SABLE,new sre.SableRenderer);sre.AuralRendering.xmlInstance=new sre.SsmlRenderer;sre.AuralRendering.registerRenderer(sre.Engine.Markup.VOICEXML,sre.AuralRendering.xmlInstance);
sre.AuralRendering.registerRenderer(sre.Engine.Markup.SSML,sre.AuralRendering.xmlInstance);sre.Debugger=function(){this.isActive_=!1;this.outputFunction_=console.log;this.stream_=null};goog.addSingletonGetter(sre.Debugger);sre.Debugger.prototype.init=function(a){a&&this.startDebugFile_(a);this.isActive_=!0};
sre.Debugger.prototype.startDebugFile_=function(a){this.stream_=sre.SystemExternal.fs.createWriteStream(a);this.outputFunction_=goog.bind(function(a){var b=Array.prototype.slice.call(arguments,0);this.stream_.write(b.join(" "));this.stream_.write("\n")},this);this.stream_.on("error",goog.bind(function(a){console.log("Invalid log file. Debug information sent to console.");this.outputFunction_=console.log},this));this.stream_.on("finish",function(){console.log("Finalizing debug file.")})};
sre.Debugger.prototype.output_=function(a){this.outputFunction_.apply(console.log===this.outputFunction_?console:this.outputFunction_,["Speech Rule Engine Debugger:"].concat(a))};sre.Debugger.prototype.output=function(a){this.isActive_&&this.output_(Array.prototype.slice.call(arguments,0))};sre.Debugger.prototype.generateOutput=function(a){this.isActive_&&this.output_(a.apply(a,[]))};sre.Debugger.prototype.exit=function(a){this.isActive_&&this.stream_&&this.stream_.end("","",a||function(){})};sre.XpathUtil={};sre.XpathUtil.xpathSupported=function(){return"undefined"==typeof XPathResult?!1:!0};sre.XpathUtil.currentDocument=null;sre.XpathUtil.xpathEvaluate=sre.XpathUtil.xpathSupported()?document.evaluate:sre.SystemExternal.xpath.evaluate;sre.XpathUtil.xpathResult=sre.XpathUtil.xpathSupported()?XPathResult:sre.SystemExternal.xpath.XPathResult;sre.XpathUtil.createNSResolver=sre.XpathUtil.xpathSupported()?document.createNSResolver:sre.SystemExternal.xpath.createNSResolver;
sre.XpathUtil.nameSpaces_={xhtml:"http://www.w3.org/1999/xhtml",mathml:"http://www.w3.org/1998/Math/MathML",svg:"http://www.w3.org/2000/svg"};sre.XpathUtil.resolveNameSpace=function(a){return sre.XpathUtil.nameSpaces_[a]||null};sre.XpathUtil.resolver_=function(){this.lookupNamespaceURI=sre.XpathUtil.resolveNameSpace};
sre.XpathUtil.evaluateXpath_=function(a,b,c){var d=sre.Engine.getInstance();return d.mode!==sre.Engine.Mode.HTTP||d.isIE||d.isEdge?sre.XpathUtil.xpathEvaluate(a,b,new sre.XpathUtil.resolver_,c,null):sre.XpathUtil.currentDocument.evaluate(a,b,sre.XpathUtil.resolveNameSpace,c,null)};sre.XpathUtil.evalXPath=function(a,b){try{var c=sre.XpathUtil.evaluateXpath_(a,b,sre.XpathUtil.xpathResult.ORDERED_NODE_ITERATOR_TYPE)}catch(d){return[]}a=[];for(b=c.iterateNext();b;b=c.iterateNext())a.push(b);return a};
sre.XpathUtil.getLeafNodes=function(a){return sre.XpathUtil.evalXPath(".//*[count(*)=0]",a)};sre.XpathUtil.evaluateBoolean=function(a,b){try{var c=sre.XpathUtil.evaluateXpath_(a,b,sre.XpathUtil.xpathResult.BOOLEAN_TYPE)}catch(d){return!1}return c.booleanValue};sre.XpathUtil.evaluateString=function(a,b){try{var c=sre.XpathUtil.evaluateXpath_(a,b,sre.XpathUtil.xpathResult.STRING_TYPE)}catch(d){return""}return c.stringValue};sre.DomUtil={};sre.DomUtil.toArray=function(a){for(var b=[],c=0,d=a.length;c<d;c++)b.push(a[c]);return b};sre.DomUtil.trimInput_=function(a){a=a.replace(/&nbsp;/g," ");return a.replace(/>\s+</g,"><").trim()};sre.DomUtil.XML_ENTITIES={"&lt;":!0,"&gt;":!0,"&amp;":!0,"&quot;":!0,"&apos;":!0};
sre.DomUtil.parseInput=function(a,b){b=b||Error;var c=new sre.SystemExternal.xmldom.DOMParser;a=sre.DomUtil.trimInput_(a);var d=!!a.match(/&(?!lt|gt|amp|quot|apos)\w+;/g);if(!a)throw new b("Empty input!");try{var e=c.parseFromString(a,d?"text/html":"text/xml");return sre.Engine.getInstance().mode===sre.Engine.Mode.HTTP?(sre.XpathUtil.currentDocument=e,d?e.body.childNodes[0]:e.documentElement):e.documentElement}catch(f){throw new b("Illegal input: "+f.message);}};
sre.DomUtil.NodeType={ELEMENT_NODE:1,ATTRIBUTE_NODE:2,TEXT_NODE:3,CDATA_SECTION_NODE:4,ENTITY_REFERENCE_NODE:5,ENTITY_NODE:6,PROCESSING_INSTRUCTION_NODE:7,COMMENT_NODE:8,DOCUMENT_NODE:9,DOCUMENT_TYPE_NODE:10,DOCUMENT_FRAGMENT_NODE:11,NOTATION_NODE:12};sre.DomUtil.replaceNode=function(a,b){a.parentNode&&(a.parentNode.insertBefore(b,a),a.parentNode.removeChild(a))};sre.DomUtil.createElement=function(a){return sre.SystemExternal.document.createElement(a)};sre.DomUtil.createTextNode=function(a){return sre.SystemExternal.document.createTextNode(a)};
sre.DomUtil.formatXml=function(a){var b=/(>)(<)(\/*)/g;a=a.replace(b,"$1\r\n$2$3");b=/(>)(.+)(<c)/g;a=a.replace(b,"$1\r\n$2\r\n$3");var c="",d="";a.split("\r\n").forEach(function(a){a.match(/.+<\/\w[^>]*>$/)?c+=d+a+"\r\n":a.match(/^<\/\w/)?d&&(d=d.slice(2),c+=d+a+"\r\n"):a.match(/^<\w[^>]*[^\/]>.*$/)?(c+=d+a+"\r\n",d+=" "):c+=d+a+"\r\n"});return c};sre.DomUtil.dataAttribute=function(a){a.match(/^data-/)&&(a=a.substr(5));return a.replace(/-([a-z])/g,function(a,c){return c.toUpperCase()})};
sre.DomUtil.getDataAttribute=function(a,b){return a.dataset?a.dataset[sre.DomUtil.dataAttribute(b)]:a.getAttribute(b)};sre.DomUtil.querySelectorAllByAttr=function(a,b){return a.querySelectorAll?sre.DomUtil.toArray(a.querySelectorAll("["+b+"]")):sre.XpathUtil.evalXPath(".//*[@"+b+"]",a)};sre.DomUtil.querySelectorAllByAttrValue=function(a,b,c){return a.querySelectorAll?sre.DomUtil.toArray(a.querySelectorAll("["+b+'="'+c+'"]')):sre.XpathUtil.evalXPath(".//*[@"+b+'="'+c+'"]',a)};
sre.DomUtil.querySelectorAll=function(a,b){return a.querySelectorAll?sre.DomUtil.toArray(a.querySelectorAll(b)):sre.XpathUtil.evalXPath(".//"+b,a)};sre.DomUtil.tagName=function(a){return a.tagName.toUpperCase()};sre.EnrichCase=function(){};sre.EnrichCase.prototype.getMathml=function(){};sre.AbstractEnrichCase=function(a){this.semantic=a};sre.AbstractEnrichCase.prototype.getMathml=goog.abstractMethod;sre.AbstractEnrichCase.test=goog.abstractMethod;sre.EnrichCaseFactory=function(){};sre.EnrichCaseFactory.getEmbellishedCase=function(a){return new sre.EnrichCaseFactory.embellishedCase(a)};sre.EnrichCaseFactory.cases=[];sre.EnrichCaseFactory.getCase=function(a){for(var b=0,c;c=sre.EnrichCaseFactory.cases[b];b++)if(c.test(a))return new c.constr(a);return null};sre.SemanticUtil=function(){};sre.SemanticUtil.objectsToKeys=function(a){a=Array.prototype.slice.call(arguments,0);var b=[];return b.concat.apply(b,a.map(Object.keys))};sre.SemanticUtil.objectsToValues=function(a){a=Array.prototype.slice.call(arguments,0);var b=[];a.forEach(function(a){for(var c in a)b.push(a[c])});return b};
sre.SemanticUtil.unicodeToNumber=function(a){if(!a||2<a.length)return null;if(2==a.length){var b=a.charCodeAt(0);a=a.charCodeAt(1);return 55296<=b&&56319>=b&&!isNaN(a)?1024*(b-55296)+(a-56320)+65536:null}return a.charCodeAt(0)};sre.SemanticUtil.numberToUnicode=function(a){return 65536>a?String.fromCharCode(a):String.fromCharCode((a-65536)/1024+55296,(a-65536)%1024+56320)};
sre.SemanticUtil.splitUnicode=function(a){a=a.split("");for(var b=[],c=0,d;d=a[c];c++)"\ud800"<=d&&"\udbff">=d&&a[c+1]?b.push(d+a[++c]):b.push(d);return b};sre.SemanticUtil.LEAFTAGS=["MO","MI","MN","MTEXT","MS"];sre.SemanticUtil.IGNORETAGS="MERROR MPHANTOM MSPACE MALIGNGROUP MALIGNMARK MPRESCRIPTS ANNOTATION ANNOTATION-XML".split(" ");sre.SemanticUtil.EMPTYTAGS="MATH MROW MPADDED MACTION NONE MSTYLE SEMANTICS".split(" ");sre.SemanticUtil.hasMathTag=function(a){return!!a&&"MATH"===sre.DomUtil.tagName(a)};
sre.SemanticUtil.hasIgnoreTag=function(a){return!!a&&-1!==sre.SemanticUtil.IGNORETAGS.indexOf(sre.DomUtil.tagName(a))};sre.SemanticUtil.hasEmptyTag=function(a){return!!a&&-1!==sre.SemanticUtil.EMPTYTAGS.indexOf(sre.DomUtil.tagName(a))};sre.SemanticUtil.purgeNodes=function(a){for(var b=[],c=0,d;d=a[c];c++){var e=sre.DomUtil.tagName(d);-1!=sre.SemanticUtil.IGNORETAGS.indexOf(e)||-1!=sre.SemanticUtil.EMPTYTAGS.indexOf(e)&&0==d.childNodes.length||b.push(d)}return b};
sre.SemanticUtil.isZeroLength=function(a){return a?-1!=="negativeveryverythinmathspace negativeverythinmathspace negativethinmathspace negativemediummathspace negativethickmathspace negativeverythickmathspace negativeveryverythickmathspace".split(" ").indexOf(a)?!0:(a=a.match(/[0-9\.]+/))?0===parseFloat(a)?!0:!1:!1:!1};sre.SemanticAttr=function(){this.generalPunctuations='!"#%&:;?@\\\u00a1\u00a7\u00b6\u00bf\u2017\u2020\u2021\u2022\u2023\u2024\u2025\u2027\u2030\u2031\u2038\u203b\u203c\u203d\u203e\u2041\u2042\u2043\u2047\u2048\u2049\u204b\u204c\u204d\u204e\u204f\u2050\u2051\u2053\u2055\u2056\u2058\u2059\u205a\u205b\u205c\u205d\u205e\ufe10\ufe13\ufe14\ufe15\ufe16\ufe30\ufe45\ufe46\ufe49\ufe4a\ufe4b\ufe4c\ufe50\ufe54\ufe55\ufe56\ufe57\ufe5f\ufe60\ufe61\ufe68\ufe6a\ufe6b\uff01\uff02\uff03\uff05\uff06\uff07\uff0a\uff0c\uff0f\uff1a\uff1b\uff1f\uff20\uff3c'.split("");
this.invisibleComma_=sre.SemanticUtil.numberToUnicode(8291);this.commas=[",",this.invisibleComma_];this.ellipses="\u2026\u22ee\u22ef\u22f0\u22f1\ufe19".split("");this.fullStops=[".","\ufe52","\uff0e"];this.dashes="\u2012\u2013\u2014\u2015\u301c\ufe31\ufe32\ufe58".split("");this.primes="'\u2032\u2033\u2034\u2035\u2036\u2037\u2057".split("");this.openClosePairs={"(":")","[":"]","{":"}","\u2045":"\u2046","\u2329":"\u232a","\u2768":"\u2769","\u276a":"\u276b","\u276c":"\u276d","\u276e":"\u276f","\u2770":"\u2771",
"\u2772":"\u2773","\u2774":"\u2775","\u27c5":"\u27c6","\u27e6":"\u27e7","\u27e8":"\u27e9","\u27ea":"\u27eb","\u27ec":"\u27ed","\u27ee":"\u27ef","\u2983":"\u2984","\u2985":"\u2986","\u2987":"\u2988","\u2989":"\u298a","\u298b":"\u298c","\u298d":"\u298e","\u298f":"\u2990","\u2991":"\u2992","\u2993":"\u2994","\u2995":"\u2996","\u2997":"\u2998","\u29d8":"\u29d9","\u29da":"\u29db","\u29fc":"\u29fd","\u2e22":"\u2e23","\u2e24":"\u2e25","\u2e26":"\u2e27","\u2e28":"\u2e29","\u3008":"\u3009","\u300a":"\u300b",
"\u300c":"\u300d","\u300e":"\u300f","\u3010":"\u3011","\u3014":"\u3015","\u3016":"\u3017","\u3018":"\u3019","\u301a":"\u301b","\u301d":"\u301e","\ufd3e":"\ufd3f","\ufe17":"\ufe18","\ufe59":"\ufe5a","\ufe5b":"\ufe5c","\ufe5d":"\ufe5e","\uff08":"\uff09","\uff3b":"\uff3d","\uff5b":"\uff5d","\uff5f":"\uff60","\uff62":"\uff63","\u2308":"\u2309","\u230a":"\u230b","\u230c":"\u230d","\u230e":"\u230f","\u231c":"\u231d","\u231e":"\u231f","\u239b":"\u239e","\u239c":"\u239f","\u239d":"\u23a0","\u23a1":"\u23a4",
"\u23a2":"\u23a5","\u23a3":"\u23a6","\u23a7":"\u23ab","\u23a8":"\u23ac","\u23a9":"\u23ad","\u23b0":"\u23b1","\u23b8":"\u23b9"};this.topBottomPairs={"\u23b4":"\u23b5","\u23dc":"\u23dd","\u23de":"\u23df","\u23e0":"\u23e1","\ufe35":"\ufe36","\ufe37":"\ufe38","\ufe39":"\ufe3a","\ufe3b":"\ufe3c","\ufe3d":"\ufe3e","\ufe3f":"\ufe40","\ufe41":"\ufe42","\ufe43":"\ufe44","\ufe47":"\ufe48"};this.leftFences=sre.SemanticUtil.objectsToKeys(this.openClosePairs);this.rightFences=sre.SemanticUtil.objectsToValues(this.openClosePairs);
this.rightFences.push("\u301f");this.topFences=sre.SemanticUtil.objectsToKeys(this.topBottomPairs);this.bottomFences=sre.SemanticUtil.objectsToValues(this.topBottomPairs);this.neutralFences="|\u00a6\u2016\u2758\u2980\u2af4\uffe4\uff5c".split("");this.allFences=this.neutralFences.concat(this.leftFences,this.rightFences,this.topFences,this.bottomFences);this.capitalLatin="ABCDEFGHIJKLMNOPQRSTUVWXYZ".split("");this.smallLatin="abcdefghijklmnopqrstuvwxyz\u0131\u0237".split("");this.capitalLatinFullWidth=
"\uff21\uff22\uff23\uff24\uff25\uff26\uff27\uff28\uff29\uff2a\uff2b\uff2c\uff2d\uff2e\uff2f\uff30\uff31\uff32\uff33\uff34\uff35\uff36\uff37\uff38\uff39\uff3a".split("");this.smallLatinFullWidth="\uff41\uff42\uff43\uff44\uff45\uff46\uff47\uff48\uff49\uff4a\uff4b\uff4c\uff4d\uff4e\uff4f\uff50\uff51\uff52\uff53\uff54\uff55\uff56\uff57\uff58\uff59\uff5a".split("");this.capitalLatinBold="\ud835\udc00 \ud835\udc01 \ud835\udc02 \ud835\udc03 \ud835\udc04 \ud835\udc05 \ud835\udc06 \ud835\udc07 \ud835\udc08 \ud835\udc09 \ud835\udc0a \ud835\udc0b \ud835\udc0c \ud835\udc0d \ud835\udc0e \ud835\udc0f \ud835\udc10 \ud835\udc11 \ud835\udc12 \ud835\udc13 \ud835\udc14 \ud835\udc15 \ud835\udc16 \ud835\udc17 \ud835\udc18 \ud835\udc19".split(" ");
this.smallLatinBold="\ud835\udc1a \ud835\udc1b \ud835\udc1c \ud835\udc1d \ud835\udc1e \ud835\udc1f \ud835\udc20 \ud835\udc21 \ud835\udc22 \ud835\udc23 \ud835\udc24 \ud835\udc25 \ud835\udc26 \ud835\udc27 \ud835\udc28 \ud835\udc29 \ud835\udc2a \ud835\udc2b \ud835\udc2c \ud835\udc2d \ud835\udc2e \ud835\udc2f \ud835\udc30 \ud835\udc31 \ud835\udc32 \ud835\udc33".split(" ");this.capitalLatinItalic="\ud835\udc34 \ud835\udc35 \ud835\udc36 \ud835\udc37 \ud835\udc38 \ud835\udc39 \ud835\udc3a \ud835\udc3b \ud835\udc3c \ud835\udc3d \ud835\udc3e \ud835\udc3f \ud835\udc40 \ud835\udc41 \ud835\udc42 \ud835\udc43 \ud835\udc44 \ud835\udc45 \ud835\udc46 \ud835\udc47 \ud835\udc48 \ud835\udc49 \ud835\udc4a \ud835\udc4b \ud835\udc4c \ud835\udc4d".split(" ");
this.smallLatinItalic="\ud835\udc4e \ud835\udc4f \ud835\udc50 \ud835\udc51 \ud835\udc52 \ud835\udc53 \ud835\udc54 \u210e \ud835\udc56 \ud835\udc57 \ud835\udc58 \ud835\udc59 \ud835\udc5a \ud835\udc5b \ud835\udc5c \ud835\udc5d \ud835\udc5e \ud835\udc5f \ud835\udc60 \ud835\udc61 \ud835\udc62 \ud835\udc63 \ud835\udc64 \ud835\udc65 \ud835\udc66 \ud835\udc67 \ud835\udea4 \ud835\udea5".split(" ");this.capitalLatinScript="\ud835\udc9c \u212c \ud835\udc9e \ud835\udc9f \u2130 \u2131 \ud835\udca2 \u210b \u2110 \ud835\udca5 \ud835\udca6 \u2112 \u2133 \ud835\udca9 \ud835\udcaa \ud835\udcab \ud835\udcac \u211b \ud835\udcae \ud835\udcaf \ud835\udcb0 \ud835\udcb1 \ud835\udcb2 \ud835\udcb3 \ud835\udcb4 \ud835\udcb5 \u2118".split(" ");
this.smallLatinScript="\ud835\udcb6 \ud835\udcb7 \ud835\udcb8 \ud835\udcb9 \u212f \ud835\udcbb \u210a \ud835\udcbd \ud835\udcbe \ud835\udcbf \ud835\udcc0 \ud835\udcc1 \ud835\udcc2 \ud835\udcc3 \u2134 \ud835\udcc5 \ud835\udcc6 \ud835\udcc7 \ud835\udcc8 \ud835\udcc9 \ud835\udcca \ud835\udccb \ud835\udccc \ud835\udccd \ud835\udcce \ud835\udccf \u2113".split(" ");this.capitalLatinBoldScript="\ud835\udcd0 \ud835\udcd1 \ud835\udcd2 \ud835\udcd3 \ud835\udcd4 \ud835\udcd5 \ud835\udcd6 \ud835\udcd7 \ud835\udcd8 \ud835\udcd9 \ud835\udcda \ud835\udcdb \ud835\udcdc \ud835\udcdd \ud835\udcde \ud835\udcdf \ud835\udce0 \ud835\udce1 \ud835\udce2 \ud835\udce3 \ud835\udce4 \ud835\udce5 \ud835\udce6 \ud835\udce7 \ud835\udce8 \ud835\udce9".split(" ");
this.smallLatinBoldScript="\ud835\udcea \ud835\udceb \ud835\udcec \ud835\udced \ud835\udcee \ud835\udcef \ud835\udcf0 \ud835\udcf1 \ud835\udcf2 \ud835\udcf3 \ud835\udcf4 \ud835\udcf5 \ud835\udcf6 \ud835\udcf7 \ud835\udcf8 \ud835\udcf9 \ud835\udcfa \ud835\udcfb \ud835\udcfc \ud835\udcfd \ud835\udcfe \ud835\udcff \ud835\udd00 \ud835\udd01 \ud835\udd02 \ud835\udd03".split(" ");this.capitalLatinFraktur="\ud835\udd04 \ud835\udd05 \u212d \ud835\udd07 \ud835\udd08 \ud835\udd09 \ud835\udd0a \u210c \u2111 \ud835\udd0d \ud835\udd0e \ud835\udd0f \ud835\udd10 \ud835\udd11 \ud835\udd12 \ud835\udd13 \ud835\udd14 \u211c \ud835\udd16 \ud835\udd17 \ud835\udd18 \ud835\udd19 \ud835\udd1a \ud835\udd1b \ud835\udd1c \u2128".split(" ");
this.smallLatinFraktur="\ud835\udd1e \ud835\udd1f \ud835\udd20 \ud835\udd21 \ud835\udd22 \ud835\udd23 \ud835\udd24 \ud835\udd25 \ud835\udd26 \ud835\udd27 \ud835\udd28 \ud835\udd29 \ud835\udd2a \ud835\udd2b \ud835\udd2c \ud835\udd2d \ud835\udd2e \ud835\udd2f \ud835\udd30 \ud835\udd31 \ud835\udd32 \ud835\udd33 \ud835\udd34 \ud835\udd35 \ud835\udd36 \ud835\udd37".split(" ");this.capitalLatinDoubleStruck="\ud835\udd38 \ud835\udd39 \u2102 \ud835\udd3b \ud835\udd3c \ud835\udd3d \ud835\udd3e \u210d \ud835\udd40 \ud835\udd41 \ud835\udd42 \ud835\udd43 \ud835\udd44 \u2115 \ud835\udd46 \u2119 \u211a \u211d \ud835\udd4a \ud835\udd4b \ud835\udd4c \ud835\udd4d \ud835\udd4e \ud835\udd4f \ud835\udd50 \u2124".split(" ");
this.smallLatinDoubleStruck="\ud835\udd52 \ud835\udd53 \ud835\udd54 \ud835\udd55 \ud835\udd56 \ud835\udd57 \ud835\udd58 \ud835\udd59 \ud835\udd5a \ud835\udd5b \ud835\udd5c \ud835\udd5d \ud835\udd5e \ud835\udd5f \ud835\udd60 \ud835\udd61 \ud835\udd62 \ud835\udd63 \ud835\udd64 \ud835\udd65 \ud835\udd66 \ud835\udd67 \ud835\udd68 \ud835\udd69 \ud835\udd6a \ud835\udd6b".split(" ");this.capitalLatinBoldFraktur="\ud835\udd6c \ud835\udd6d \ud835\udd6e \ud835\udd6f \ud835\udd70 \ud835\udd71 \ud835\udd72 \ud835\udd73 \ud835\udd74 \ud835\udd75 \ud835\udd76 \ud835\udd77 \ud835\udd78 \ud835\udd79 \ud835\udd7a \ud835\udd7b \ud835\udd7c \ud835\udd7d \ud835\udd7e \ud835\udd7f \ud835\udd80 \ud835\udd81 \ud835\udd82 \ud835\udd83 \ud835\udd84 \ud835\udd85".split(" ");
this.smallLatinBoldFraktur="\ud835\udd86 \ud835\udd87 \ud835\udd88 \ud835\udd89 \ud835\udd8a \ud835\udd8b \ud835\udd8c \ud835\udd8d \ud835\udd8e \ud835\udd8f \ud835\udd90 \ud835\udd91 \ud835\udd92 \ud835\udd93 \ud835\udd94 \ud835\udd95 \ud835\udd96 \ud835\udd97 \ud835\udd98 \ud835\udd99 \ud835\udd9a \ud835\udd9b \ud835\udd9c \ud835\udd9d \ud835\udd9e \ud835\udd9f".split(" ");this.capitalLatinSansSerif="\ud835\udda0 \ud835\udda1 \ud835\udda2 \ud835\udda3 \ud835\udda4 \ud835\udda5 \ud835\udda6 \ud835\udda7 \ud835\udda8 \ud835\udda9 \ud835\uddaa \ud835\uddab \ud835\uddac \ud835\uddad \ud835\uddae \ud835\uddaf \ud835\uddb0 \ud835\uddb1 \ud835\uddb2 \ud835\uddb3 \ud835\uddb4 \ud835\uddb5 \ud835\uddb6 \ud835\uddb7 \ud835\uddb8 \ud835\uddb9".split(" ");
this.smallLatinSansSerif="\ud835\uddba \ud835\uddbb \ud835\uddbc \ud835\uddbd \ud835\uddbe \ud835\uddbf \ud835\uddc0 \ud835\uddc1 \ud835\uddc2 \ud835\uddc3 \ud835\uddc4 \ud835\uddc5 \ud835\uddc6 \ud835\uddc7 \ud835\uddc8 \ud835\uddc9 \ud835\uddca \ud835\uddcb \ud835\uddcc \ud835\uddcd \ud835\uddce \ud835\uddcf \ud835\uddd0 \ud835\uddd1 \ud835\uddd2 \ud835\uddd3".split(" ");this.capitalLatinSansSerifBold="\ud835\uddd4 \ud835\uddd5 \ud835\uddd6 \ud835\uddd7 \ud835\uddd8 \ud835\uddd9 \ud835\uddda \ud835\udddb \ud835\udddc \ud835\udddd \ud835\uddde \ud835\udddf \ud835\udde0 \ud835\udde1 \ud835\udde2 \ud835\udde3 \ud835\udde4 \ud835\udde5 \ud835\udde6 \ud835\udde7 \ud835\udde8 \ud835\udde9 \ud835\uddea \ud835\uddeb \ud835\uddec \ud835\udded".split(" ");
this.smallLatinSansSerifBold="\ud835\uddee \ud835\uddef \ud835\uddf0 \ud835\uddf1 \ud835\uddf2 \ud835\uddf3 \ud835\uddf4 \ud835\uddf5 \ud835\uddf6 \ud835\uddf7 \ud835\uddf8 \ud835\uddf9 \ud835\uddfa \ud835\uddfb \ud835\uddfc \ud835\uddfd \ud835\uddfe \ud835\uddff \ud835\ude00 \ud835\ude01 \ud835\ude02 \ud835\ude03 \ud835\ude04 \ud835\ude05 \ud835\ude06 \ud835\ude07".split(" ");this.capitalLatinSansSerifItalic="\ud835\ude08 \ud835\ude09 \ud835\ude0a \ud835\ude0b \ud835\ude0c \ud835\ude0d \ud835\ude0e \ud835\ude0f \ud835\ude10 \ud835\ude11 \ud835\ude12 \ud835\ude13 \ud835\ude14 \ud835\ude15 \ud835\ude16 \ud835\ude17 \ud835\ude18 \ud835\ude19 \ud835\ude1a \ud835\ude1b \ud835\ude1c \ud835\ude1d \ud835\ude1e \ud835\ude1f \ud835\ude20 \ud835\ude21".split(" ");
this.smallLatinSansSerifItalic="\ud835\ude22 \ud835\ude23 \ud835\ude24 \ud835\ude25 \ud835\ude26 \ud835\ude27 \ud835\ude28 \ud835\ude29 \ud835\ude2a \ud835\ude2b \ud835\ude2c \ud835\ude2d \ud835\ude2e \ud835\ude2f \ud835\ude30 \ud835\ude31 \ud835\ude32 \ud835\ude33 \ud835\ude34 \ud835\ude35 \ud835\ude36 \ud835\ude37 \ud835\ude38 \ud835\ude39 \ud835\ude3a \ud835\ude3b".split(" ");this.capitalLatinMonospace="\ud835\ude70 \ud835\ude71 \ud835\ude72 \ud835\ude73 \ud835\ude74 \ud835\ude75 \ud835\ude76 \ud835\ude77 \ud835\ude78 \ud835\ude79 \ud835\ude7a \ud835\ude7b \ud835\ude7c \ud835\ude7d \ud835\ude7e \ud835\ude7f \ud835\ude80 \ud835\ude81 \ud835\ude82 \ud835\ude83 \ud835\ude84 \ud835\ude85 \ud835\ude86 \ud835\ude87 \ud835\ude88 \ud835\ude89".split(" ");
this.smallLatinMonospace="\ud835\ude8a \ud835\ude8b \ud835\ude8c \ud835\ude8d \ud835\ude8e \ud835\ude8f \ud835\ude90 \ud835\ude91 \ud835\ude92 \ud835\ude93 \ud835\ude94 \ud835\ude95 \ud835\ude96 \ud835\ude97 \ud835\ude98 \ud835\ude99 \ud835\ude9a \ud835\ude9b \ud835\ude9c \ud835\ude9d \ud835\ude9e \ud835\ude9f \ud835\udea0 \ud835\udea1 \ud835\udea2 \ud835\udea3".split(" ");this.latinDoubleStruckItalic=["\u2145","\u2146","\u2147","\u2148","\u2149"];this.capitalGreek="\u0391\u0392\u0393\u0394\u0395\u0396\u0397\u0398\u0399\u039a\u039b\u039c\u039d\u039e\u039f\u03a0\u03a1\u03a3\u03a4\u03a5\u03a6\u03a7\u03a8\u03a9".split("");
this.smallGreek="\u03b1\u03b2\u03b3\u03b4\u03b5\u03b6\u03b7\u03b8\u03b9\u03ba\u03bb\u03bc\u03bd\u03be\u03bf\u03c0\u03c1\u03c2\u03c3\u03c4\u03c5\u03c6\u03c7\u03c8\u03c9".split("");this.capitalGreekBold="\ud835\udea8 \ud835\udea9 \ud835\udeaa \ud835\udeab \ud835\udeac \ud835\udead \ud835\udeae \ud835\udeaf \ud835\udeb0 \ud835\udeb1 \ud835\udeb2 \ud835\udeb3 \ud835\udeb4 \ud835\udeb5 \ud835\udeb6 \ud835\udeb7 \ud835\udeb8 \ud835\udeba \ud835\udebb \ud835\udebc \ud835\udebd \ud835\udebe \ud835\udebf \ud835\udec0".split(" ");
this.smallGreekBold="\ud835\udec2 \ud835\udec3 \ud835\udec4 \ud835\udec5 \ud835\udec6 \ud835\udec7 \ud835\udec8 \ud835\udec9 \ud835\udeca \ud835\udecb \ud835\udecc \ud835\udecd \ud835\udece \ud835\udecf \ud835\uded0 \ud835\uded1 \ud835\uded2 \ud835\uded3 \ud835\uded4 \ud835\uded5 \ud835\uded6 \ud835\uded7 \ud835\uded8 \ud835\uded9 \ud835\udeda".split(" ");this.capitalGreekItalic="\ud835\udee2 \ud835\udee3 \ud835\udee4 \ud835\udee5 \ud835\udee6 \ud835\udee7 \ud835\udee8 \ud835\udee9 \ud835\udeea \ud835\udeeb \ud835\udeec \ud835\udeed \ud835\udeee \ud835\udeef \ud835\udef0 \ud835\udef1 \ud835\udef2 \ud835\udef4 \ud835\udef5 \ud835\udef6 \ud835\udef7 \ud835\udef8 \ud835\udef9 \ud835\udefa".split(" ");
this.smallGreekItalic="\ud835\udefc \ud835\udefd \ud835\udefe \ud835\udeff \ud835\udf00 \ud835\udf01 \ud835\udf02 \ud835\udf03 \ud835\udf04 \ud835\udf05 \ud835\udf06 \ud835\udf07 \ud835\udf08 \ud835\udf09 \ud835\udf0a \ud835\udf0b \ud835\udf0c \ud835\udf0d \ud835\udf0e \ud835\udf0f \ud835\udf10 \ud835\udf11 \ud835\udf12 \ud835\udf13 \ud835\udf14".split(" ");this.capitalGreekSansSerifBold="\ud835\udf56 \ud835\udf57 \ud835\udf58 \ud835\udf59 \ud835\udf5a \ud835\udf5b \ud835\udf5c \ud835\udf5d \ud835\udf5e \ud835\udf5f \ud835\udf60 \ud835\udf61 \ud835\udf62 \ud835\udf63 \ud835\udf64 \ud835\udf65 \ud835\udf66 \ud835\udf68 \ud835\udf69 \ud835\udf6a \ud835\udf6b \ud835\udf6c \ud835\udf6d \ud835\udf6e".split(" ");
this.smallGreekSansSerifBold="\ud835\udf70 \ud835\udf71 \ud835\udf72 \ud835\udf73 \ud835\udf74 \ud835\udf75 \ud835\udf76 \ud835\udf77 \ud835\udf78 \ud835\udf79 \ud835\udf7a \ud835\udf7b \ud835\udf7c \ud835\udf7d \ud835\udf7e \ud835\udf7f \ud835\udf80 \ud835\udf81 \ud835\udf82 \ud835\udf83 \ud835\udf84 \ud835\udf85 \ud835\udf86 \ud835\udf87 \ud835\udf88".split(" ");this.greekDoubleStruck=["\u213c","\u213d","\u213e","\u213f"];this.greekSpecial="\u03d0\u03d1\u03d5\u03d6\u03d7\u03f0\u03f1\u03f5\u03f6\u03f4".split("");
this.greekSpecialBold="\ud835\udedc \ud835\udedd \ud835\udede \ud835\udedf \ud835\udee0 \ud835\udee1".split(" ");this.greekSpecialItalic="\ud835\udf16 \ud835\udf17 \ud835\udf18 \ud835\udf19 \ud835\udf1a \ud835\udf1b".split(" ");this.greekSpecialSansSerifBold="\ud835\udf8a \ud835\udf8b \ud835\udf8c \ud835\udf8d \ud835\udf8e \ud835\udf8f".split(" ");this.hebrewLetters=["\u2135","\u2136","\u2137","\u2138"];this.allLetters=this.capitalLatin.concat(this.smallLatin,this.capitalLatinFullWidth,this.smallLatinFullWidth,
this.capitalLatinBold,this.smallLatinBold,this.capitalLatinItalic,this.smallLatinItalic,this.capitalLatinScript,this.smallLatinScript,this.capitalLatinBoldScript,this.smallLatinBoldScript,this.capitalLatinFraktur,this.smallLatinFraktur,this.capitalLatinDoubleStruck,this.smallLatinDoubleStruck,this.capitalLatinBoldFraktur,this.smallLatinBoldFraktur,this.capitalLatinSansSerif,this.smallLatinSansSerif,this.capitalLatinSansSerifBold,this.smallLatinSansSerifBold,this.capitalLatinSansSerifItalic,this.smallLatinSansSerifItalic,
this.capitalLatinMonospace,this.smallLatinMonospace,this.latinDoubleStruckItalic,this.capitalGreek,this.smallGreek,this.capitalGreekBold,this.smallGreekBold,this.capitalGreekItalic,this.smallGreekItalic,this.capitalGreekSansSerifBold,this.smallGreekSansSerifBold,this.greekDoubleStruck,this.greekSpecial,this.greekSpecialBold,this.greekSpecialItalic,this.greekSpecialSansSerifBold,this.hebrewLetters);this.additions="+\u00b1\u2213\u2214\u2227\u2228\u2229\u222a\u228c\u2293\u2294\u229d\u229e\u22a4\u22a5\u22ba\u22bb\u22bc\u22c4\u22ce\u22cf\u22d2\u22d3\u25b3\u25b7\u25bd\u25c1\u2a5e\u2295".split("");
this.invisiblePlus_=sre.SemanticUtil.numberToUnicode(8292);this.additions.push(this.invisiblePlus_);this.multiplications="\u2020\u2021\u2210\u2217\u2218\u2219\u2240\u229a\u229b\u22a0\u22a1\u22c5\u22c6\u22c7\u22c9\u22ca\u22cb\u22cc\u25cb\u00b7*".split("");this.invisibleTimes_=sre.SemanticUtil.numberToUnicode(8290);this.multiplications.push(this.invisibleTimes_);this.subtractions="-\u2052\u207b\u208b\u2212\u2216\u2238\u2242\u2296\u229f\u2796\u2a29\u2a2a\u2a2b\u2a2c\u2a3a\u2a41\u2a6c\ufe63\uff0d\u2010\u2011".split("");
this.divisions="/\u00f7\u2044\u2215\u2298\u27cc\u29bc\u2a38".split("");this.functionApplication_=sre.SemanticUtil.numberToUnicode(8289);this.equalities="=~\u207c\u208c\u223c\u223d\u2243\u2245\u2248\u224a\u224b\u224c\u224d\u224e\u2251\u2252\u2253\u2254\u2255\u2256\u2257\u2258\u2259\u225a\u225b\u225c\u225d\u225e\u225f\u2261\u2263\u29e4\u2a66\u2a6e\u2a6f\u2a70\u2a71\u2a72\u2a73\u2a74\u2a75\u2a76\u2a77\u2a78\u22d5\u2a6d\u2a6a\u2a6b\u2a6c\ufe66\uff1d".split("");this.inequalities="<>\u2241\u2242\u2244\u2246\u2247\u2249\u224f\u2250\u2260\u2262\u2264\u2265\u2266\u2267\u2268\u2269\u226a\u226b\u226c\u226d\u226e\u226f\u2270\u2271\u2272\u2273\u2274\u2275\u2276\u2277\u2278\u2279\u227a\u227b\u227c\u227d\u227e\u227f\u2280\u2281\u22d6\u22d7\u22d8\u22d9\u22da\u22db\u22dc\u22dd\u22de\u22df\u22e0\u22e1\u22e2\u22e3\u22e4\u22e5\u22e6\u22e7\u22e8\u22e9\u2a79\u2a7a\u2a7b\u2a7c\u2a7d\u2a7e\u2a7f\u2a80\u2a81\u2a82\u2a83\u2a84\u2a85\u2a86\u2a87\u2a88\u2a89\u2a8a\u2a8b\u2a8c\u2a8d\u2a8e\u2a8f\u2a90\u2a91\u2a92\u2a93\u2a94\u2a95\u2a96\u2a97\u2a98\u2a99\u2a9a\u2a9b\u2a9c\u2a9d\u2a9e\u2a9f\u2aa0\u2aa1\u2aa2\u2aa3\u2aa4\u2aa5\u2aa6\u2aa7\u2aa8\u2aa9\u2aaa\u2aab\u2aac\u2aad\u2aae\u2aaf\u2ab0\u2ab1\u2ab2\u2ab3\u2ab4\u2ab5\u2ab6\u2ab7\u2ab8\u2ab9\u2aba\u2abb\u2abc\u2af7\u2af8\u2af9\u2afa\u29c0\u29c1\ufe64\ufe65\uff1c\uff1e".split("");
this.relations=[];this.arrows="\u2190\u2191\u2192\u2193\u2194\u2195\u2196\u2197\u2198\u2199\u219a\u219b\u219c\u219d\u219e\u219f\u21a0\u21a1\u21a2\u21a3\u21a4\u21a5\u21a6\u21a7\u21a8\u21a9\u21aa\u21ab\u21ac\u21ad\u21ae\u21af\u21b0\u21b1\u21b2\u21b3\u21b4\u21b5\u21b6\u21b7\u21b8\u21b9\u21ba\u21bb\u21c4\u21c5\u21c6\u21c7\u21c8\u21c9\u21ca\u21cd\u21ce\u21cf\u21d0\u21d1\u21d2\u21d3\u21d4\u21d5\u21d6\u21d7\u21d8\u21d9\u21da\u21db\u21dc\u21dd\u21de\u21df\u21e0\u21e1\u21e2\u21e3\u21e4\u21e5\u21e6\u21e7\u21e8\u21e9\u21ea\u21eb\u21ec\u21ed\u21ee\u21ef\u21f0\u21f1\u21f2\u21f3\u21f4\u21f5\u21f6\u21f7\u21f8\u21f9\u21fa\u21fb\u21fc\u21fd\u21fe\u21ff\u2301\u2303\u2304\u2324\u238b\u2794\u2798\u2799\u279a\u279b\u279c\u279d\u279e\u279f\u27a0\u27a1\u27a2\u27a3\u27a4\u27a5\u27a6\u27a7\u27a8\u27a9\u27aa\u27ab\u27ac\u27ad\u27ae\u27af\u27b1\u27b2\u27b3\u27b4\u27b5\u27b6\u27b7\u27b8\u27b9\u27ba\u27bb\u27bc\u27bd\u27be\u27f0\u27f1\u27f2\u27f3\u27f4\u27f5\u27f6\u27f7\u27f8\u27f9\u27fa\u27fb\u27fc\u27fd\u27fe\u27ff\u2900\u2901\u2902\u2903\u2904\u2905\u2906\u2907\u2908\u2909\u290a\u290b\u290c\u290d\u290e\u290f\u2910\u2911\u2912\u2913\u2914\u2915\u2916\u2917\u2918\u2919\u291a\u291b\u291c\u291d\u291e\u291f\u2920\u2921\u2922\u2923\u2924\u2925\u2926\u2927\u2928\u2929\u292a\u292d\u292e\u292f\u2930\u2931\u2932\u2933\u2934\u2935\u2936\u2937\u2938\u2939\u293a\u293b\u293c\u293d\u293e\u293f\u2940\u2941\u2942\u2943\u2944\u2945\u2946\u2947\u2948\u2949\u2970\u2971\u2972\u2973\u2974\u2975\u2976\u2977\u2978\u2979\u297a\u297b\u29b3\u29b4\u29bd\u29ea\u29ec\u29ed\u2a17\u2b00\u2b01\u2b02\u2b03\u2b04\u2b05\u2b06\u2b07\u2b08\u2b09\u2b0a\u2b0b\u2b0c\u2b0d\u2b0e\u2b0f\u2b10\u2b11\u2b30\u2b31\u2b32\u2b33\u2b34\u2b35\u2b36\u2b37\u2b38\u2b39\u2b3a\u2b3b\u2b3c\u2b3d\u2b3e\u2b3f\u2b40\u2b41\u2b42\u2b43\u2b44\u2b45\u2b46\u2b47\u2b48\u2b49\u2b4a\u2b4b\u2b4c\uffe9\uffea\uffeb\uffec\u21bc\u21bd\u21be\u21bf\u21c0\u21c1\u21c2\u21c3\u21cb\u21cc\u294a\u294b\u294c\u294d\u294e\u294f\u2950\u2951\u2952\u2953\u2954\u2955\u2956\u2957\u2958\u2959\u295a\u295b\u295c\u295d\u295e\u295f\u2960\u2961\u2962\u2963\u2964\u2965\u2966\u2967\u2968\u2969\u296a\u296b\u296c\u296d\u296e\u296f\u297c\u297d\u297e\u297f".split("");
this.sumOps="\u2140\u220f\u2210\u2211\u22c0\u22c1\u22c2\u22c3\u2a00\u2a01\u2a02\u2a03\u2a04\u2a05\u2a06\u2a07\u2a08\u2a09\u2a0a\u2a0b\u2afc\u2aff".split("");this.intOps="\u222b\u222c\u222d\u222e\u222f\u2230\u2231\u2232\u2233\u2a0c\u2a0d\u2a0e\u2a0f\u2a10\u2a11\u2a12\u2a13\u2a14\u2a15\u2a16\u2a17\u2a18\u2a19\u2a1a\u2a1b\u2a1c".split("");this.prefixOps="\u2200\u2203\u2206\u2207\u2202\u2201\u2204".split("");this.prefixOpsBold=["\ud835\udec1","\ud835\udedb","\ud835\udfca","\ud835\udfcb"];this.prefixOpsItalic=
["\ud835\udefb","\ud835\udf15"];this.prefixOpsSansSerifBold=["\ud835\udf6f","\ud835\udf89"];this.operatorBits="\u2320\u2321\u23b6\u23aa\u23ae\u23af\u23b2\u23b3\u23b7".split("");this.digitsNormal="0123456789".split("");this.digitsFullWidth="\uff10\uff11\uff12\uff13\uff14\uff15\uff16\uff17\uff18\uff19".split("");this.digitsBold="\ud835\udfce \ud835\udfcf \ud835\udfd0 \ud835\udfd1 \ud835\udfd2 \ud835\udfd3 \ud835\udfd4 \ud835\udfd5 \ud835\udfd6 \ud835\udfd7".split(" ");this.digitsDoubleStruck="\ud835\udfd8 \ud835\udfd9 \ud835\udfda \ud835\udfdb \ud835\udfdc \ud835\udfdd \ud835\udfde \ud835\udfdf \ud835\udfe0 \ud835\udfe1".split(" ");
this.digitsSansSerif="\ud835\udfe2 \ud835\udfe3 \ud835\udfe4 \ud835\udfe5 \ud835\udfe6 \ud835\udfe7 \ud835\udfe8 \ud835\udfe9 \ud835\udfea \ud835\udfeb".split(" ");this.digitsSansSerifBold="\ud835\udfec \ud835\udfed \ud835\udfee \ud835\udfef \ud835\udff0 \ud835\udff1 \ud835\udff2 \ud835\udff3 \ud835\udff4 \ud835\udff5".split(" ");this.digitsMonospace="\ud835\udff6 \ud835\udff7 \ud835\udff8 \ud835\udff9 \ud835\udffa \ud835\udffb \ud835\udffc \ud835\udffd \ud835\udffe \ud835\udfff".split(" ");this.digitsSuperscript=
"\u00b2\u00b3\u00b9\u2070\u2074\u2075\u2076\u2077\u2078\u2079".split("");this.digitsSubscript="\u2080\u2081\u2082\u2083\u2084\u2085\u2086\u2087\u2088\u2089".split("");this.fractions="\u00bc\u00bd\u00be\u2150\u2151\u2152\u2153\u2154\u2155\u2156\u2157\u2158\u2159\u215a\u215b\u215c\u215d\u215e\u215f\u2189".split("");this.enclosedNumbers="\u2460\u2461\u2462\u2463\u2464\u2465\u2466\u2467\u2468\u2469\u246a\u246b\u246c\u246d\u246e\u246f\u2470\u2471\u2472\u2473\u24ea\u24eb\u24ec\u24ed\u24ee\u24ef\u24f0\u24f1\u24f2\u24f3\u24f4\u24f5\u24f6\u24f7\u24f8\u24f9\u24fa\u24fb\u24fc\u24fd\u24fe\u24ff\u2776\u2777\u2778\u2779\u277a\u277b\u277c\u277d\u277e\u277f\u2780\u2781\u2782\u2783\u2784\u2785\u2786\u2787\u2788\u2789\u278a\u278b\u278c\u278d\u278e\u278f\u2790\u2791\u2792\u2793\u3248\u3249\u324a\u324b\u324c\u324d\u324e\u324f\u3251\u3252\u3253\u3254\u3255\u3256\u3257\u3258\u3259\u325a\u325b\u325c\u325d\u325e\u325f\u32b1\u32b2\u32b3\u32b4\u32b5\u32b6\u32b7\u32b8\u32b9\u32ba\u32bb\u32bc\u32bd\u32be\u32bf".split("");
this.fencedNumbers="\u2474\u2475\u2476\u2477\u2478\u2479\u247a\u247b\u247c\u247d\u247e\u247f\u2480\u2481\u2482\u2483\u2484\u2485\u2486\u2487".split("");this.punctuatedNumbers="\u2488 \u2489 \u248a \u248b \u248c \u248d \u248e \u248f \u2490 \u2491 \u2492 \u2493 \u2494 \u2495 \u2496 \u2497 \u2498 \u2499 \u249a \u249b \ud83c\udd00 \ud83c\udd01 \ud83c\udd02 \ud83c\udd03 \ud83c\udd04 \ud83c\udd05 \ud83c\udd06 \ud83c\udd07 \ud83c\udd08 \ud83c\udd09 \ud83c\udd0a".split(" ");this.digits=this.digitsNormal.concat(this.digitsFullWidth,
this.digitsBold,this.digitsDoubleStruck,this.digitsSansSerif,this.digitsSansSerifBold,this.digitsMonospace);this.numbers=this.fractions.concat(this.digitsSuperscript,this.digitsSubscript,this.enclosedNumbers,this.fencedNumbers,this.punctuatedNumbers);this.allNumbers=this.digits.concat(this.numbers);this.trigonometricFunctions="cos cot csc sec sin tan arccos arccot arccsc arcsec arcsin arctan".split(" ");this.hyperbolicFunctions="cosh coth csch sech sinh tanh arcosh arcoth arcsch arsech arsinh artanh arccosh arccoth arccsch arcsech arcsinh arctanh".split(" ");
this.algebraicFunctions="deg det dim hom ker Tr tr".split(" ");this.elementaryFunctions="log ln lg exp expt gcd gcd arg im re Pr".split(" ");this.prefixFunctions=this.trigonometricFunctions.concat(this.hyperbolicFunctions,this.algebraicFunctions,this.elementaryFunctions);this.limitFunctions="inf lim liminf limsup max min sup injlim projlim".split(" ");this.infixFunctions=["mod","rem"];this.symbolSetToSemantic_=[{set:this.generalPunctuations,type:sre.SemanticAttr.Type.PUNCTUATION,role:sre.SemanticAttr.Role.UNKNOWN},
{set:this.commas,type:sre.SemanticAttr.Type.PUNCTUATION,role:sre.SemanticAttr.Role.COMMA},{set:this.ellipses,type:sre.SemanticAttr.Type.PUNCTUATION,role:sre.SemanticAttr.Role.ELLIPSIS},{set:this.fullStops,type:sre.SemanticAttr.Type.PUNCTUATION,role:sre.SemanticAttr.Role.FULLSTOP},{set:this.dashes,type:sre.SemanticAttr.Type.PUNCTUATION,role:sre.SemanticAttr.Role.DASH},{set:this.primes,type:sre.SemanticAttr.Type.PUNCTUATION,role:sre.SemanticAttr.Role.PRIME},{set:this.leftFences,type:sre.SemanticAttr.Type.FENCE,
role:sre.SemanticAttr.Role.OPEN},{set:this.rightFences,type:sre.SemanticAttr.Type.FENCE,role:sre.SemanticAttr.Role.CLOSE},{set:this.topFences,type:sre.SemanticAttr.Type.FENCE,role:sre.SemanticAttr.Role.TOP},{set:this.bottomFences,type:sre.SemanticAttr.Type.FENCE,role:sre.SemanticAttr.Role.BOTTOM},{set:this.neutralFences,type:sre.SemanticAttr.Type.FENCE,role:sre.SemanticAttr.Role.NEUTRAL},{set:this.smallLatin,type:sre.SemanticAttr.Type.IDENTIFIER,role:sre.SemanticAttr.Role.LATINLETTER,font:sre.SemanticAttr.Font.NORMAL},
{set:this.capitalLatin,type:sre.SemanticAttr.Type.IDENTIFIER,role:sre.SemanticAttr.Role.LATINLETTER,font:sre.SemanticAttr.Font.NORMAL},{set:this.smallLatinFullWidth,type:sre.SemanticAttr.Type.IDENTIFIER,role:sre.SemanticAttr.Role.LATINLETTER,font:sre.SemanticAttr.Font.NORMAL},{set:this.capitalLatinFullWidth,type:sre.SemanticAttr.Type.IDENTIFIER,role:sre.SemanticAttr.Role.LATINLETTER,font:sre.SemanticAttr.Font.NORMAL},{set:this.smallLatinBold,type:sre.SemanticAttr.Type.IDENTIFIER,role:sre.SemanticAttr.Role.LATINLETTER,
font:sre.SemanticAttr.Font.BOLD},{set:this.capitalLatinBold,type:sre.SemanticAttr.Type.IDENTIFIER,role:sre.SemanticAttr.Role.LATINLETTER,font:sre.SemanticAttr.Font.BOLD},{set:this.smallLatinItalic,type:sre.SemanticAttr.Type.IDENTIFIER,role:sre.SemanticAttr.Role.LATINLETTER,font:sre.SemanticAttr.Font.ITALIC},{set:this.capitalLatinItalic,type:sre.SemanticAttr.Type.IDENTIFIER,role:sre.SemanticAttr.Role.LATINLETTER,font:sre.SemanticAttr.Font.ITALIC},{set:this.smallLatinScript,type:sre.SemanticAttr.Type.IDENTIFIER,
role:sre.SemanticAttr.Role.LATINLETTER,font:sre.SemanticAttr.Font.SCRIPT},{set:this.capitalLatinScript,type:sre.SemanticAttr.Type.IDENTIFIER,role:sre.SemanticAttr.Role.LATINLETTER,font:sre.SemanticAttr.Font.SCRIPT},{set:this.smallLatinBoldScript,type:sre.SemanticAttr.Type.IDENTIFIER,role:sre.SemanticAttr.Role.LATINLETTER,font:sre.SemanticAttr.Font.BOLDSCRIPT},{set:this.capitalLatinBoldScript,type:sre.SemanticAttr.Type.IDENTIFIER,role:sre.SemanticAttr.Role.LATINLETTER,font:sre.SemanticAttr.Font.BOLDSCRIPT},
{set:this.smallLatinFraktur,type:sre.SemanticAttr.Type.IDENTIFIER,role:sre.SemanticAttr.Role.LATINLETTER,font:sre.SemanticAttr.Font.FRAKTUR},{set:this.capitalLatinFraktur,type:sre.SemanticAttr.Type.IDENTIFIER,role:sre.SemanticAttr.Role.LATINLETTER,font:sre.SemanticAttr.Font.FRAKTUR},{set:this.smallLatinDoubleStruck,type:sre.SemanticAttr.Type.IDENTIFIER,role:sre.SemanticAttr.Role.LATINLETTER,font:sre.SemanticAttr.Font.DOUBLESTRUCK},{set:this.capitalLatinDoubleStruck,type:sre.SemanticAttr.Type.IDENTIFIER,
role:sre.SemanticAttr.Role.LATINLETTER,font:sre.SemanticAttr.Font.DOUBLESTRUCK},{set:this.smallLatinBoldFraktur,type:sre.SemanticAttr.Type.IDENTIFIER,role:sre.SemanticAttr.Role.LATINLETTER,font:sre.SemanticAttr.Font.BOLDFRAKTUR},{set:this.capitalLatinBoldFraktur,type:sre.SemanticAttr.Type.IDENTIFIER,role:sre.SemanticAttr.Role.LATINLETTER,font:sre.SemanticAttr.Font.BOLDFRAKTUR},{set:this.smallLatinSansSerif,type:sre.SemanticAttr.Type.IDENTIFIER,role:sre.SemanticAttr.Role.LATINLETTER,font:sre.SemanticAttr.Font.SANSSERIF},
{set:this.capitalLatinSansSerif,type:sre.SemanticAttr.Type.IDENTIFIER,role:sre.SemanticAttr.Role.LATINLETTER,font:sre.SemanticAttr.Font.SANSSERIF},{set:this.smallLatinSansSerifBold,type:sre.SemanticAttr.Type.IDENTIFIER,role:sre.SemanticAttr.Role.LATINLETTER,font:sre.SemanticAttr.Font.SANSSERIFBOLD},{set:this.capitalLatinSansSerifBold,type:sre.SemanticAttr.Type.IDENTIFIER,role:sre.SemanticAttr.Role.LATINLETTER,font:sre.SemanticAttr.Font.SANSSERIFBOLD},{set:this.smallLatinSansSerifItalic,type:sre.SemanticAttr.Type.IDENTIFIER,
role:sre.SemanticAttr.Role.LATINLETTER,font:sre.SemanticAttr.Font.SANSSERIFITALIC},{set:this.capitalLatinSansSerifItalic,type:sre.SemanticAttr.Type.IDENTIFIER,role:sre.SemanticAttr.Role.LATINLETTER,font:sre.SemanticAttr.Font.SANSSERIFITALIC},{set:this.smallLatinMonospace,type:sre.SemanticAttr.Type.IDENTIFIER,role:sre.SemanticAttr.Role.LATINLETTER,font:sre.SemanticAttr.Font.MONOSPACE},{set:this.capitalLatinMonospace,type:sre.SemanticAttr.Type.IDENTIFIER,role:sre.SemanticAttr.Role.LATINLETTER,font:sre.SemanticAttr.Font.MONOSPACE},
{set:this.latinDoubleStruckItalic,type:sre.SemanticAttr.Type.IDENTIFIER,role:sre.SemanticAttr.Role.LATINLETTER,font:sre.SemanticAttr.Font.DOUBLESTRUCKITALIC},{set:this.smallGreek,type:sre.SemanticAttr.Type.IDENTIFIER,role:sre.SemanticAttr.Role.GREEKLETTER,font:sre.SemanticAttr.Font.NORMAL},{set:this.capitalGreek,type:sre.SemanticAttr.Type.IDENTIFIER,role:sre.SemanticAttr.Role.GREEKLETTER,font:sre.SemanticAttr.Font.NORMAL},{set:this.smallGreekBold,type:sre.SemanticAttr.Type.IDENTIFIER,role:sre.SemanticAttr.Role.GREEKLETTER,
font:sre.SemanticAttr.Font.BOLD},{set:this.capitalGreekBold,type:sre.SemanticAttr.Type.IDENTIFIER,role:sre.SemanticAttr.Role.GREEKLETTER,font:sre.SemanticAttr.Font.BOLD},{set:this.smallGreekItalic,type:sre.SemanticAttr.Type.IDENTIFIER,role:sre.SemanticAttr.Role.GREEKLETTER,font:sre.SemanticAttr.Font.ITALIC},{set:this.capitalGreekItalic,type:sre.SemanticAttr.Type.IDENTIFIER,role:sre.SemanticAttr.Role.GREEKLETTER,font:sre.SemanticAttr.Font.ITALIC},{set:this.smallGreekSansSerifBold,type:sre.SemanticAttr.Type.IDENTIFIER,
role:sre.SemanticAttr.Role.GREEKLETTER,font:sre.SemanticAttr.Font.SANSSERIFBOLD},{set:this.capitalGreekSansSerifBold,type:sre.SemanticAttr.Type.IDENTIFIER,role:sre.SemanticAttr.Role.GREEKLETTER,font:sre.SemanticAttr.Font.SANSSERIFBOLD},{set:this.greekDoubleStruck,type:sre.SemanticAttr.Type.IDENTIFIER,role:sre.SemanticAttr.Role.GREEKLETTER,font:sre.SemanticAttr.Font.DOUBLESTRUCK},{set:this.greekSpecial,type:sre.SemanticAttr.Type.IDENTIFIER,role:sre.SemanticAttr.Role.GREEKLETTER,font:sre.SemanticAttr.Font.NORMAL},
{set:this.greekSpecialBold,type:sre.SemanticAttr.Type.IDENTIFIER,role:sre.SemanticAttr.Role.GREEKLETTER,font:sre.SemanticAttr.Font.BOLD},{set:this.greekSpecialItalic,type:sre.SemanticAttr.Type.IDENTIFIER,role:sre.SemanticAttr.Role.GREEKLETTER,font:sre.SemanticAttr.Font.ITALIC},{set:this.greekSpecialSansSerifBold,type:sre.SemanticAttr.Type.IDENTIFIER,role:sre.SemanticAttr.Role.GREEKLETTER,font:sre.SemanticAttr.Font.SANSSERIFBOLD},{set:this.hebrewLetters,type:sre.SemanticAttr.Type.IDENTIFIER,role:sre.SemanticAttr.Role.OTHERLETTER,
font:sre.SemanticAttr.Font.NORMAL},{set:this.digitsNormal,type:sre.SemanticAttr.Type.NUMBER,role:sre.SemanticAttr.Role.INTEGER,font:sre.SemanticAttr.Font.NORMAL},{set:this.digitsFullWidth,type:sre.SemanticAttr.Type.NUMBER,role:sre.SemanticAttr.Role.INTEGER,font:sre.SemanticAttr.Font.NORMAL},{set:this.digitsBold,type:sre.SemanticAttr.Type.NUMBER,role:sre.SemanticAttr.Role.INTEGER,font:sre.SemanticAttr.Font.BOLD},{set:this.digitsDoubleStruck,type:sre.SemanticAttr.Type.NUMBER,role:sre.SemanticAttr.Role.INTEGER,
font:sre.SemanticAttr.Font.DOUBLESTRUCK},{set:this.digitsSansSerif,type:sre.SemanticAttr.Type.NUMBER,role:sre.SemanticAttr.Role.INTEGER,font:sre.SemanticAttr.Font.SANSSERIF},{set:this.digitsSansSerifBold,type:sre.SemanticAttr.Type.NUMBER,role:sre.SemanticAttr.Role.INTEGER,font:sre.SemanticAttr.Font.SANSSERIFBOLD},{set:this.digitsMonospace,type:sre.SemanticAttr.Type.NUMBER,role:sre.SemanticAttr.Role.INTEGER,font:sre.SemanticAttr.Font.MONOSPACE},{set:this.numbers,type:sre.SemanticAttr.Type.NUMBER,role:sre.SemanticAttr.Role.FLOAT},
{set:this.additions,type:sre.SemanticAttr.Type.OPERATOR,role:sre.SemanticAttr.Role.ADDITION},{set:this.multiplications,type:sre.SemanticAttr.Type.OPERATOR,role:sre.SemanticAttr.Role.MULTIPLICATION},{set:this.subtractions,type:sre.SemanticAttr.Type.OPERATOR,role:sre.SemanticAttr.Role.SUBTRACTION},{set:this.divisions,type:sre.SemanticAttr.Type.OPERATOR,role:sre.SemanticAttr.Role.DIVISION},{set:this.prefixOps,type:sre.SemanticAttr.Type.PREFIXOP,role:sre.SemanticAttr.Role.PREFIXFUNC},{set:this.prefixOpsBold,
type:sre.SemanticAttr.Type.PREFIXOP,role:sre.SemanticAttr.Role.PREFIXFUNC,font:sre.SemanticAttr.Font.BOLD},{set:this.prefixOpsItalic,type:sre.SemanticAttr.Type.PREFIXOP,role:sre.SemanticAttr.Role.PREFIXFUNC,font:sre.SemanticAttr.Font.ITALIC},{set:this.prefixOpsSansSerifBold,type:sre.SemanticAttr.Type.PREFIXOP,role:sre.SemanticAttr.Role.PREFIXFUNC,font:sre.SemanticAttr.Font.SANSSERIFBOLD},{set:this.equalities,type:sre.SemanticAttr.Type.RELATION,role:sre.SemanticAttr.Role.EQUALITY},{set:this.inequalities,
type:sre.SemanticAttr.Type.RELATION,role:sre.SemanticAttr.Role.INEQUALITY},{set:this.relations,type:sre.SemanticAttr.Type.RELATION,role:sre.SemanticAttr.Role.UNKNOWN},{set:this.arrows,type:sre.SemanticAttr.Type.RELATION,role:sre.SemanticAttr.Role.ARROW},{set:this.sumOps,type:sre.SemanticAttr.Type.LARGEOP,role:sre.SemanticAttr.Role.SUM},{set:this.intOps,type:sre.SemanticAttr.Type.LARGEOP,role:sre.SemanticAttr.Role.INTEGRAL},{set:this.limitFunctions,type:sre.SemanticAttr.Type.FUNCTION,role:sre.SemanticAttr.Role.LIMFUNC},
{set:this.prefixFunctions,type:sre.SemanticAttr.Type.FUNCTION,role:sre.SemanticAttr.Role.PREFIXFUNC},{set:this.infixFunctions,type:sre.SemanticAttr.Type.OPERATOR,role:sre.SemanticAttr.Role.MULTIPLICATION}];this.meaning_=this.initMeaning_()};goog.addSingletonGetter(sre.SemanticAttr);
sre.SemanticAttr.Type={PUNCTUATION:"punctuation",FENCE:"fence",NUMBER:"number",IDENTIFIER:"identifier",TEXT:"text",OPERATOR:"operator",RELATION:"relation",LARGEOP:"largeop",FUNCTION:"function",ACCENT:"accent",FENCED:"fenced",FRACTION:"fraction",PUNCTUATED:"punctuated",RELSEQ:"relseq",MULTIREL:"multirel",INFIXOP:"infixop",PREFIXOP:"prefixop",POSTFIXOP:"postfixop",APPL:"appl",INTEGRAL:"integral",BIGOP:"bigop",SQRT:"sqrt",ROOT:"root",LIMUPPER:"limupper",LIMLOWER:"limlower",LIMBOTH:"limboth",SUBSCRIPT:"subscript",
SUPERSCRIPT:"superscript",UNDERSCORE:"underscore",OVERSCORE:"overscore",TENSOR:"tensor",TABLE:"table",MULTILINE:"multiline",MATRIX:"matrix",VECTOR:"vector",CASES:"cases",ROW:"row",LINE:"line",CELL:"cell",ENCLOSE:"enclose",UNKNOWN:"unknown",EMPTY:"empty"};
sre.SemanticAttr.Role={COMMA:"comma",ELLIPSIS:"ellipsis",FULLSTOP:"fullstop",DASH:"dash",PRIME:"prime",VBAR:"vbar",OPENFENCE:"openfence",CLOSEFENCE:"closefence",APPLICATION:"application",DUMMY:"dummy",UNIT:"unit",LABEL:"label",OPEN:"open",CLOSE:"close",TOP:"top",BOTTOM:"bottom",NEUTRAL:"neutral",LATINLETTER:"latinletter",GREEKLETTER:"greekletter",OTHERLETTER:"otherletter",INTEGER:"integer",FLOAT:"float",OTHERNUMBER:"othernumber",MIXED:"mixed",MULTIACCENT:"multiaccent",OVERACCENT:"overaccent",UNDERACCENT:"underaccent",
UNDEROVER:"underover",SUBSUP:"subsup",LEFTSUB:"leftsub",LEFTSUPER:"leftsuper",RIGHTSUB:"rightsub",RIGHTSUPER:"rightsuper",LEFTRIGHT:"leftright",ABOVEBELOW:"abovebelow",STRING:"string",SEQUENCE:"sequence",ENDPUNCT:"endpunct",STARTPUNCT:"startpunct",TEXT:"text",NEGATIVE:"negative",NEGATION:"negation",MULTIOP:"multiop",LIMFUNC:"limit function",INFIXFUNC:"infix function",PREFIXFUNC:"prefix function",POSTFIXFUNC:"postfix function",SIMPLEFUNC:"simple function",SUM:"sum",INTEGRAL:"integral",ADDITION:"addition",
MULTIPLICATION:"multiplication",SUBTRACTION:"subtraction",IMPLICIT:"implicit",DIVISION:"division",VULGAR:"vulgar",EQUALITY:"equality",INEQUALITY:"inequality",ELEMENT:"element",ARROW:"arrow",DETERMINANT:"determinant",ROWVECTOR:"rowvector",BINOMIAL:"binomial",SQUAREMATRIX:"squarematrix",MULTILINE:"multiline",MATRIX:"matrix",VECTOR:"vector",CASES:"cases",TABLE:"table",UNKNOWN:"unknown",PROTECTED:"protected"};
sre.SemanticAttr.Font={BOLD:"bold",BOLDFRAKTUR:"bold-fraktur",BOLDITALIC:"bold-italic",BOLDSCRIPT:"bold-script",CALIGRAPHIC:"caligraphic",CALIGRAPHICBOLD:"caligraphic-bold",DOUBLESTRUCK:"double-struck",DOUBLESTRUCKITALIC:"double-struck-italic",FRAKTUR:"fraktur",ITALIC:"italic",MONOSPACE:"monospace",NORMAL:"normal",OLDSTYLE:"oldstyle",OLDSTYLEBOLD:"oldstyle-bold",SCRIPT:"script",SANSSERIF:"sans-serif",SANSSERIFITALIC:"sans-serif-italic",SANSSERIFBOLD:"sans-serif-bold",SANSSERIFBOLDITALIC:"sans-serif-bold-italic",
UNKNOWN:"unknown"};sre.SemanticAttr.prototype.lookupType=function(a){return sre.SemanticAttr.Type.UNKNOWN};sre.SemanticAttr.prototype.lookupRole=function(a){return sre.SemanticAttr.Role.UNKNOWN};sre.SemanticAttr.lookupMeaning=function(a){return sre.SemanticAttr.getInstance().lookupMeaning_(a)};sre.SemanticAttr.invisibleTimes=function(){return sre.SemanticAttr.getInstance().invisibleTimes_};sre.SemanticAttr.invisibleComma=function(){return sre.SemanticAttr.getInstance().invisibleComma_};
sre.SemanticAttr.functionApplication=function(){return sre.SemanticAttr.getInstance().functionApplication_};sre.SemanticAttr.isMatchingFenceRole=function(a,b){return a==sre.SemanticAttr.Role.OPEN&&b==sre.SemanticAttr.Role.CLOSE||a==sre.SemanticAttr.Role.NEUTRAL&&b==sre.SemanticAttr.Role.NEUTRAL||a==sre.SemanticAttr.Role.TOP&&b==sre.SemanticAttr.Role.BOTTOM};sre.SemanticAttr.isMatchingFence=function(a,b){return sre.SemanticAttr.getInstance().isMatchingFence_(a,b)};
sre.SemanticAttr.isOpeningFence=function(a){return a==sre.SemanticAttr.Role.OPEN||a==sre.SemanticAttr.Role.NEUTRAL};sre.SemanticAttr.isClosingFence=function(a){return a==sre.SemanticAttr.Role.CLOSE||a==sre.SemanticAttr.Role.NEUTRAL};sre.SemanticAttr.isEmbellishedType=function(a){return a===sre.SemanticAttr.Type.OPERATOR||a===sre.SemanticAttr.Type.RELATION||a===sre.SemanticAttr.Type.FENCE||a===sre.SemanticAttr.Type.PUNCTUATION};sre.SemanticAttr.isCharacterD=function(a){return-1!="d \u2146 \uff44 \ud835\udc1d \ud835\udc51 \ud835\udcb9 \ud835\udced \ud835\udd21 \ud835\udd55 \ud835\udd89 \ud835\uddbd \ud835\uddf1 \ud835\ude25 \ud835\ude8d".split(" ").indexOf(a)};
sre.SemanticAttr.prototype.isMatchingFence_=function(a,b){return-1!=this.neutralFences.indexOf(a)?a==b:this.openClosePairs[a]==b||this.topBottomPairs[a]==b};sre.SemanticAttr.prototype.initMeaning_=function(){for(var a={},b=0,c;c=this.symbolSetToSemantic_[b];b++)c.set.forEach(function(b){a[b]={role:c.role||sre.SemanticAttr.Role.UNKNOWN,type:c.type||sre.SemanticAttr.Type.UNKNOWN,font:c.font||sre.SemanticAttr.Font.UNKNOWN}});return a};
sre.SemanticAttr.prototype.lookupMeaning_=function(a){return this.meaning_[a]||{role:sre.SemanticAttr.Role.UNKNOWN,type:sre.SemanticAttr.Type.UNKNOWN,font:sre.SemanticAttr.Font.UNKNOWN}};sre.MathUtil={};sre.MathUtil.isMathmlNodeOfClass_=function(a,b){return-1!=b.indexOf(a.tagName.toUpperCase())};sre.MathUtil.isMathjaxNodeOfClass_=function(a,b){return"SPAN"==a.tagName?a.className.split(" ").some(function(a){return-1!=b.indexOf(a.toUpperCase())}):!1};sre.MathUtil.isMathNodeOfClass_=function(a,b){return a.nodeType==sre.DomUtil.NodeType.ELEMENT_NODE&&(sre.MathUtil.isMathmlNodeOfClass_(a,b)||sre.MathUtil.isMathjaxNodeOfClass_(a,b))};sre.MathUtil.TOKEN_LIST="MI MN MO MTEXT MSPACE MS".split(" ");
sre.MathUtil.isToken=function(a){return sre.MathUtil.isMathNodeOfClass_(a,sre.MathUtil.TOKEN_LIST)};sre.MathUtil.LAYOUT_LIST="MROW MFRAC MSQRT MROOT MSTYLE MERROR MPADDED MPHANTOM MFENCED MENCLOSE".split(" ");sre.MathUtil.isLayout=function(a){return sre.MathUtil.isMathNodeOfClass_(a,sre.MathUtil.LAYOUT_LIST)};sre.MathUtil.SCRIPT_LIST="MSUB MSUP MSUBSUP MUNDER MOVER MUNDEROVER MMULTISCRIPTS MPRESCRIPTS".split(" ");sre.MathUtil.isScript=function(a){return sre.MathUtil.isMathNodeOfClass_(a,sre.MathUtil.SCRIPT_LIST)};
sre.MathUtil.TABLES_LIST="MTABLE MLABELEDTR MTR MTD MALIGNGROUP MALIGNMARK".split(" ");sre.MathUtil.isTables=function(a){return sre.MathUtil.isMathNodeOfClass_(a,sre.MathUtil.TABLES_LIST)};sre.MathUtil.ELEMENTARY_LIST="MSTACK MLONGDIV MSGROUP MSROW MSCARRIES MSCARRY MSLINE".split(" ");sre.MathUtil.isElementary=function(a){return sre.MathUtil.isMathNodeOfClass_(a,sre.MathUtil.ELEMENTARY_LIST)};
sre.MathUtil.MATHML_TAG_LIST=[sre.MathUtil.TOKEN_LIST,sre.MathUtil.LAYOUT_LIST,sre.MathUtil.SCRIPT_LIST,sre.MathUtil.TABLES_LIST,sre.MathUtil.ELEMENTARY_LIST].reduce(function(a,b){return a.concat(b)});sre.MathUtil.isMathmlTag=function(a){return sre.MathUtil.isMathNodeOfClass_(a,sre.MathUtil.MATHML_TAG_LIST)};sre.MathUtil.WHITESPACE_LIST=["MSROW","MROW","MSPACE","MPHANTOM","MPADDED"];sre.MathUtil.isWhitespace=function(a){return sre.MathUtil.isMathNodeOfClass_(a,sre.MathUtil.WHITESPACE_LIST)};
sre.MathUtil.isNotWhitespace=function(a){return sre.MathUtil.isMathmlTag(a)&&!sre.MathUtil.isWhitespace(a)};sre.MathUtil.nextSeparatorFunction=function(a){if(a){if(a.match(/^\s+$/))return null;var b=a.replace(/\s/g,"").split("").filter(function(a){return a})}else b=[","];return function(){return 1<b.length?b.shift():b[0]}};sre.SemanticNode=function(a){this.id=a;this.mathml=[];this.parent=null;this.type=sre.SemanticAttr.Type.UNKNOWN;this.role=sre.SemanticAttr.Role.UNKNOWN;this.font=sre.SemanticAttr.Font.UNKNOWN;this.embellished=null;this.fencePointer="";this.childNodes=[];this.textContent="";this.mathmlTree=null;this.contentNodes=[]};sre.SemanticNode.prototype.querySelectorAll=function(a){for(var b=[],c=0,d;d=this.childNodes[c];c++)b=b.concat(d.querySelectorAll(a));a(this)&&b.unshift(this);return b};
sre.SemanticNode.prototype.xml=function(a,b){var c=function(c,d){d=d.map(function(c){return c.xml(a,b)});c=a.createElementNS("",c);for(var e=0,f;f=d[e];e++)c.appendChild(f);return c},d=a.createElementNS("",this.type);b||this.xmlAttributes_(d);d.textContent=this.textContent;0<this.contentNodes.length&&d.appendChild(c("content",this.contentNodes));0<this.childNodes.length&&d.appendChild(c("children",this.childNodes));return d};
sre.SemanticNode.prototype.toString=function(a){var b=new sre.SystemExternal.xmldom.XMLSerializer,c=(new sre.SystemExternal.xmldom.DOMParser).parseFromString("","text/xml");return b.serializeToString(this.xml(c,a))};
sre.SemanticNode.prototype.xmlAttributes_=function(a){a.setAttribute("role",this.role);this.font!=sre.SemanticAttr.Font.UNKNOWN&&a.setAttribute("font",this.font);this.embellished&&a.setAttribute("embellished",this.embellished);this.fencePointer&&a.setAttribute("fencepointer",this.fencePointer);a.setAttribute("id",this.id)};
sre.SemanticNode.prototype.updateContent=function(a){var b=a.trim();a=a&&!b?a:b;this.textContent!=a&&(b=sre.SemanticAttr.lookupMeaning(a),this.textContent=a,this.role=b.role,this.type=b.type,this.font=b.font)};sre.SemanticNode.prototype.addMathmlNodes=function(a){for(var b=0,c;c=a[b];b++)-1==this.mathml.indexOf(c)&&this.mathml.push(c)};sre.SemanticNode.prototype.removeMathmlNodes_=function(a){for(var b=this.mathml,c=0,d;d=a[c];c++)d=b.indexOf(d),-1!=d&&b.splice(d,1);this.mathml=b};
sre.SemanticNode.prototype.appendChild=function(a){this.childNodes.push(a);this.addMathmlNodes(a.mathml);a.parent=this};sre.SemanticNode.prototype.replaceChild=function(a,b){var c=this.childNodes.indexOf(a);if(-1!=c){a.parent=null;b.parent=this;this.childNodes[c]=b;c=a.mathml.filter(function(a){return-1==b.mathml.indexOf(a)});var d=b.mathml.filter(function(b){return-1==a.mathml.indexOf(b)});this.removeMathmlNodes_(c);this.addMathmlNodes(d)}};
sre.SemanticNode.prototype.appendContentNode=function(a){a&&(this.contentNodes.push(a),this.addMathmlNodes(a.mathml),a.parent=this)};sre.SemanticNode.prototype.removeContentNode=function(a){a&&(a=this.contentNodes.indexOf(a),-1!=a&&this.contentNodes.slice(a,1))};
sre.SemanticNode.prototype.equals=function(a){if(!a||this.type!==a.type||this.role!==a.role||this.textContent!==a.textContent||this.childNodes.length!==a.childNodes.length||this.contentNodes.length!==a.contentNodes.length)return!1;for(var b=0,c,d;c=this.childNodes[b],d=a.childNodes[b];b++)if(!c.equals(d))return!1;for(b=0;c=this.contentNodes[b],d=a.contentNodes[b];b++)if(!c.equals(d))return!1;return!0};
sre.SemanticNode.prototype.displayTree=function(a){a++;var b=Array(a).join(" ");console.log(b+this.toString());console.log(b+"MathmlTree:");console.log(b+this.mathmlTreeString_());console.log(b+"MathML:");for(var c=0,d;d=this.mathml[c];c++)console.log(b+d.toString());console.log(b+"Begin Content");this.contentNodes.forEach(function(b){b.displayTree(a)});console.log(b+"End Content");console.log(b+"Begin Children");this.childNodes.forEach(function(b){b.displayTree(a)});console.log(b+"End Children")};
sre.SemanticNode.prototype.mathmlTreeString_=function(){return this.mathmlTree?this.mathmlTree.toString():"EMPTY"};sre.SemanticNodeFactory=function(){this.idCounter_=0};sre.SemanticNodeFactory.prototype.createNode_=function(){return new sre.SemanticNode(this.idCounter_++)};sre.SemanticNodeFactory.prototype.makeUnprocessed=function(a){var b=this.createNode_();b.mathml=[a];return b};sre.SemanticNodeFactory.prototype.makeEmptyNode=function(){var a=this.createNode_();a.type=sre.SemanticAttr.Type.EMPTY;return a};
sre.SemanticNodeFactory.prototype.makeContentNode=function(a){var b=this.createNode_();b.updateContent(a);return b};sre.SemanticNodeFactory.prototype.makeMultipleContentNodes=function(a,b){for(var c=[],d=0;d<a;d++)c.push(this.makeContentNode(b));return c};sre.SemanticNodeFactory.prototype.makeLeafNode=function(a,b){if(!a)return this.makeEmptyNode();a=this.makeContentNode(a);a.font=b||a.font;return a};
sre.SemanticNodeFactory.prototype.makeBranchNode=function(a,b,c,d){var e=this.createNode_();d&&e.updateContent(d);e.type=a;e.childNodes=b;e.contentNodes=c;b.concat(c).forEach(function(a){a.parent=e;e.addMathmlNodes(a.mathml)});return e};sre.SemanticParser=function(){};sre.SemanticParser.prototype.parse=function(a){};sre.SemanticParser.prototype.getFactory=function(){};sre.SemanticParser.prototype.setFactory=function(a){};sre.SemanticParser.prototype.getType=function(){};sre.SemanticAbstractParser=function(a){this.type_=a;this.factory_=new sre.SemanticNodeFactory};sre.SemanticAbstractParser.prototype.getFactory=function(){return this.factory_};sre.SemanticAbstractParser.prototype.setFactory=function(a){this.factory_=a};
sre.SemanticAbstractParser.prototype.getType=function(){return this.type_};sre.SemanticAbstractParser.prototype.parse=goog.abstractMethod;sre.SemanticPred={};sre.SemanticPred.isAttribute=function(a,b){return function(c){c=c[a];a:switch(a){case "role":var d=sre.SemanticAttr.Role[b];break a;case "font":d=sre.SemanticAttr.Font[b];break a;default:d=sre.SemanticAttr.Type[b]}return c===d}};
sre.SemanticPred.isAccent=function(a){return sre.SemanticPred.isAttribute("type","FENCE")(a)||sre.SemanticPred.isAttribute("type","PUNCTUATION")(a)||sre.SemanticPred.isAttribute("type","OPERATOR")(a)||sre.SemanticPred.isAttribute("type","RELATION")(a)||sre.SemanticPred.isAttribute("type","IDENTIFIER")(a)&&sre.SemanticPred.isAttribute("role","UNKNOWN")(a)&&!a.textContent.match(new RegExp(sre.SemanticAttr.getInstance().allLetters.join("|")))};
sre.SemanticPred.isSimpleFunction=function(a){a=a.childNodes;if(0===a.length)return!0;if(1<a.length)return!1;a=a[0];return a.type!==sre.SemanticAttr.Type.INFIXOP||a.role===sre.SemanticAttr.Role.IMPLICIT&&!a.childNodes.some(sre.SemanticPred.isAttribute("type","INFIXOP"))?!0:!1};sre.SemanticPred.isPrefixFunctionBoundary=function(a){return sre.SemanticPred.isOperator(a)||sre.SemanticPred.isGeneralFunctionBoundary(a)};
sre.SemanticPred.isIntegralDxBoundary=function(a,b){return!!b&&sre.SemanticPred.isAttribute("type","IDENTIFIER")(b)&&sre.SemanticAttr.isCharacterD(a.textContent)};sre.SemanticPred.isIntegralDxBoundarySingle=function(a){if(sre.SemanticPred.isAttribute("type","IDENTIFIER")(a)){var b=a.textContent[0];return b&&a.textContent[1]&&sre.SemanticAttr.isCharacterD(b)}return!1};sre.SemanticPred.isGeneralFunctionBoundary=function(a){return sre.SemanticPred.isRelation(a)||sre.SemanticPred.isPunctuation(a)};
sre.SemanticPred.isEmbellished=function(a){return a.embellished?a.embellished:sre.SemanticAttr.isEmbellishedType(a.type)?a.type:null};sre.SemanticPred.isOperator=function(a){return sre.SemanticPred.isAttribute("type","OPERATOR")(a)||sre.SemanticPred.isAttribute("embellished","OPERATOR")(a)};sre.SemanticPred.isRelation=function(a){return sre.SemanticPred.isAttribute("type","RELATION")(a)||sre.SemanticPred.isAttribute("embellished","RELATION")(a)};
sre.SemanticPred.isPunctuation=function(a){return sre.SemanticPred.isAttribute("type","PUNCTUATION")(a)||sre.SemanticPred.isAttribute("embellished","PUNCTUATION")(a)};sre.SemanticPred.isFence=function(a){return sre.SemanticPred.isAttribute("type","FENCE")(a)||sre.SemanticPred.isAttribute("embellished","FENCE")(a)};
sre.SemanticPred.isElligibleEmbellishedFence=function(a){if(!a||!sre.SemanticPred.isFence(a))return!1;if(!a.embellished)return!0;var b=function(a){return a.embellished?!(!sre.SemanticPred.isAttribute("type","TENSOR")(a)||sre.SemanticPred.isAttribute("type","EMPTY")(a.childNodes[1])&&sre.SemanticPred.isAttribute("type","EMPTY")(a.childNodes[2])||sre.SemanticPred.isAttribute("type","EMPTY")(a.childNodes[3])&&sre.SemanticPred.isAttribute("type","EMPTY")(a.childNodes[4]))||sre.SemanticPred.isAttribute("role",
"CLOSE")(a)&&sre.SemanticPred.isAttribute("type","TENSOR")(a)||sre.SemanticPred.isAttribute("role","OPEN")(a)&&(sre.SemanticPred.isAttribute("type","SUBSCRIPT")(a)||sre.SemanticPred.isAttribute("type","SUPERSCRIPT")(a))?!1:b(a.childNodes[0]):!0};return b(a)};sre.SemanticPred.isTableOrMultiline=function(a){return!!a&&(sre.SemanticPred.isAttribute("type","TABLE")(a)||sre.SemanticPred.isAttribute("type","MULTILINE")(a))};
sre.SemanticPred.tableIsMatrixOrVector=function(a){return!!a&&sre.SemanticPred.isAttribute("type","FENCED")(a)&&(sre.SemanticPred.isAttribute("role","LEFTRIGHT")(a)||sre.SemanticPred.isAttribute("role","NEUTRAL")(a))&&1===a.childNodes.length&&sre.SemanticPred.isTableOrMultiline(a.childNodes[0])};sre.SemanticPred.tableIsCases=function(a,b){return 0<b.length&&sre.SemanticPred.isAttribute("role","OPENFENCE")(b[b.length-1])};
sre.SemanticPred.tableIsMultiline=function(a){return a.childNodes.every(function(a){return 1>=a.childNodes.length})};sre.SemanticPred.isBinomial=function(a){return 2===a.childNodes.length};
sre.SemanticPred.isLimitBase=function(a){return sre.SemanticPred.isAttribute("type","LARGEOP")(a)||sre.SemanticPred.isAttribute("type","LIMBOTH")(a)||sre.SemanticPred.isAttribute("type","LIMLOWER")(a)||sre.SemanticPred.isAttribute("type","LIMUPPER")(a)||sre.SemanticPred.isAttribute("type","FUNCTION")(a)&&sre.SemanticPred.isAttribute("role","LIMFUNC")(a)};
sre.SemanticPred.isSimpleFunctionHead=function(a){return a.type===sre.SemanticAttr.Type.IDENTIFIER||a.role===sre.SemanticAttr.Role.LATINLETTER||a.role===sre.SemanticAttr.Role.GREEKLETTER||a.role===sre.SemanticAttr.Role.OTHERLETTER};sre.SemanticPred.singlePunctAtPosition=function(a,b,c){return 1===b.length&&a[c].type===sre.SemanticAttr.Type.PUNCTUATION&&a[c]===b[0]};sre.SemanticProcessor=function(){this.factory_=new sre.SemanticNodeFactory};goog.addSingletonGetter(sre.SemanticProcessor);sre.SemanticProcessor.prototype.setNodeFactory=function(a){this.factory_=a};
sre.SemanticProcessor.prototype.identifierNode=function(a,b,c){a=sre.SemanticProcessor.getInstance().factory_.makeLeafNode(a,b);if("MathML-Unit"===c)a.type=sre.SemanticAttr.Type.IDENTIFIER,a.role=sre.SemanticAttr.Role.UNIT;else if(!b&&1===a.textContent.length&&(a.role===sre.SemanticAttr.Role.INTEGER||a.role===sre.SemanticAttr.Role.LATINLETTER||a.role===sre.SemanticAttr.Role.GREEKLETTER)&&a.font===sre.SemanticAttr.Font.NORMAL)return a.font=sre.SemanticAttr.Font.ITALIC,a;a.type===sre.SemanticAttr.Type.UNKNOWN&&
(a.type=sre.SemanticAttr.Type.IDENTIFIER);sre.SemanticProcessor.exprFont_(a);return a};
sre.SemanticProcessor.prototype.implicitNode_=function(a){a=sre.SemanticProcessor.getInstance().getMixedNumbers_(a);a=sre.SemanticProcessor.getInstance().combineUnits_(a);if(1===a.length)return a[0];var b=sre.SemanticProcessor.getInstance().factory_.makeMultipleContentNodes(a.length-1,sre.SemanticAttr.invisibleTimes()),c=sre.SemanticProcessor.getInstance().infixNode_(a,b[0]);c.role=sre.SemanticAttr.Role.IMPLICIT;b.forEach(function(a){a.parent=c});c.contentNodes=b;return c};
sre.SemanticProcessor.prototype.infixNode_=function(a,b){a=sre.SemanticProcessor.getInstance().factory_.makeBranchNode(sre.SemanticAttr.Type.INFIXOP,a,[b],sre.SemanticProcessor.getEmbellishedInner_(b).textContent);a.role=b.role;return a};
sre.SemanticProcessor.prototype.concatNode_=function(a,b,c){if(0===b.length)return a;var d=b.map(function(a){return sre.SemanticProcessor.getEmbellishedInner_(a).textContent}).join(" ");a=sre.SemanticProcessor.getInstance().factory_.makeBranchNode(c,[a],b,d);1<b.length&&(a.role=sre.SemanticAttr.Role.MULTIOP);return a};
sre.SemanticProcessor.prototype.prefixNode_=function(a,b){b=sre.SemanticProcessor.partitionNodes_(b,sre.SemanticPred.isAttribute("role","SUBTRACTION"));for(a=sre.SemanticProcessor.getInstance().concatNode_(a,b.comp.pop(),sre.SemanticAttr.Type.PREFIXOP);0<b.rel.length;)a=sre.SemanticProcessor.getInstance().concatNode_(a,[b.rel.pop()],sre.SemanticAttr.Type.PREFIXOP),a.role=sre.SemanticAttr.Role.NEGATIVE,a=sre.SemanticProcessor.getInstance().concatNode_(a,b.comp.pop(),sre.SemanticAttr.Type.PREFIXOP);
return a};sre.SemanticProcessor.prototype.postfixNode_=function(a,b){return b.length?sre.SemanticProcessor.getInstance().concatNode_(a,b,sre.SemanticAttr.Type.POSTFIXOP):a};sre.SemanticProcessor.prototype.text=function(a,b,c){a=sre.SemanticProcessor.getInstance().factory_.makeLeafNode(a,b);a.type=sre.SemanticAttr.Type.TEXT;"MS"===c&&(a.role=sre.SemanticAttr.Role.STRING);sre.SemanticProcessor.exprFont_(a);return a};
sre.SemanticProcessor.prototype.row=function(a){a=a.filter(function(a){return!sre.SemanticPred.isAttribute("type","EMPTY")(a)});if(0===a.length)return sre.SemanticProcessor.getInstance().factory_.makeEmptyNode();a=sre.SemanticProcessor.getInstance().getFencesInRow_(a);a=sre.SemanticProcessor.getInstance().tablesInRow(a);a=sre.SemanticProcessor.getInstance().getPunctuationInRow_(a);a=sre.SemanticProcessor.getInstance().getTextInRow_(a);a=sre.SemanticProcessor.getInstance().getFunctionsInRow_(a);return sre.SemanticProcessor.getInstance().relationsInRow_(a)};
sre.SemanticProcessor.prototype.combineUnits_=function(a){var b=sre.SemanticProcessor.partitionNodes_(a,function(a){return!sre.SemanticPred.isAttribute("role","UNIT")(a)});if(a.length===b.rel.length)return b.rel;a=[];do{var c=b.comp.shift(),d=b.rel.shift();1===c.length&&(a=a.concat(c));if(1<c.length){var e=sre.SemanticProcessor.getInstance().factory_.makeContentNode(sre.SemanticAttr.invisibleTimes());c=sre.SemanticProcessor.getInstance().infixNode_(c,e);c.role=sre.SemanticAttr.Role.UNIT;a.push(c)}d&&
a.push(d)}while(d);return a};
sre.SemanticProcessor.prototype.getMixedNumbers_=function(a){var b=sre.SemanticProcessor.partitionNodes_(a,function(a){return sre.SemanticPred.isAttribute("type","FRACTION")(a)&&sre.SemanticPred.isAttribute("role","VULGAR")(a)});if(!b.rel.length)return a;a=[];for(var c=0,d;d=b.rel[c];c++){var e=b.comp[c],f=e.length-1;e[f]&&sre.SemanticPred.isAttribute("type","NUMBER")(e[f])&&sre.SemanticPred.isAttribute("role","INTEGER")(e[f])?(d=sre.SemanticProcessor.getInstance().factory_.makeBranchNode(sre.SemanticAttr.Type.NUMBER,[e[f],
d],[]),d.role=sre.SemanticAttr.Role.MIXED,a=a.concat(e.slice(0,f)),a.push(d)):(a=a.concat(e),a.push(d))}return a.concat(b.comp[b.comp.length-1])};
sre.SemanticProcessor.prototype.getTextInRow_=function(a){if(1>=a.length)return a;var b=sre.SemanticProcessor.partitionNodes_(a,sre.SemanticPred.isAttribute("type","TEXT"));if(0===b.rel.length)return a;a=[];var c=b.comp[0];0<c.length&&a.push(sre.SemanticProcessor.getInstance().row(c));for(var d=0;c=b.rel[d];d++)a.push(c),c=b.comp[d+1],0<c.length&&a.push(sre.SemanticProcessor.getInstance().row(c));return[sre.SemanticProcessor.getInstance().dummyNode_(a)]};
sre.SemanticProcessor.prototype.relationsInRow_=function(a){var b=sre.SemanticProcessor.partitionNodes_(a,sre.SemanticPred.isRelation),c=b.rel[0];if(!c)return sre.SemanticProcessor.getInstance().operationsInRow_(a);if(1===a.length)return a[0];a=b.comp.map(goog.bind(sre.SemanticProcessor.getInstance().operationsInRow_,this));if(b.rel.some(function(a){return!a.equals(c)}))return a=sre.SemanticProcessor.getInstance().factory_.makeBranchNode(sre.SemanticAttr.Type.MULTIREL,a,b.rel),b.rel.every(function(a){return a.role===
c.role})&&(a.role=c.role),a;a=sre.SemanticProcessor.getInstance().factory_.makeBranchNode(sre.SemanticAttr.Type.RELSEQ,a,b.rel,sre.SemanticProcessor.getEmbellishedInner_(c).textContent);a.role=c.role;return a};
sre.SemanticProcessor.prototype.operationsInRow_=function(a){if(0===a.length)return sre.SemanticProcessor.getInstance().factory_.makeEmptyNode();if(1===a.length)return a[0];for(var b=[];0<a.length&&sre.SemanticPred.isOperator(a[0]);)b.push(a.shift());if(0===a.length)return sre.SemanticProcessor.getInstance().prefixNode_(b.pop(),b);if(1===a.length)return sre.SemanticProcessor.getInstance().prefixNode_(a[0],b);a=sre.SemanticProcessor.sliceNodes_(a,sre.SemanticPred.isOperator);b=sre.SemanticProcessor.getInstance().prefixNode_(sre.SemanticProcessor.getInstance().implicitNode_(a.head),
b);return a.div?sre.SemanticProcessor.getInstance().operationsTree_(a.tail,b,a.div):b};
sre.SemanticProcessor.prototype.operationsTree_=function(a,b,c,d){d=d||[];if(0===a.length)return d.unshift(c),b.type===sre.SemanticAttr.Type.INFIXOP?(d=sre.SemanticProcessor.getInstance().postfixNode_(b.childNodes.pop(),d),b.appendChild(d),b):sre.SemanticProcessor.getInstance().postfixNode_(b,d);a=sre.SemanticProcessor.sliceNodes_(a,sre.SemanticPred.isOperator);if(0===a.head.length)return d.push(a.div),sre.SemanticProcessor.getInstance().operationsTree_(a.tail,b,c,d);d=sre.SemanticProcessor.getInstance().prefixNode_(sre.SemanticProcessor.getInstance().implicitNode_(a.head),
d);b=sre.SemanticProcessor.getInstance().appendOperand_(b,c,d);return a.div?sre.SemanticProcessor.getInstance().operationsTree_(a.tail,b,a.div,[]):b};
sre.SemanticProcessor.prototype.appendOperand_=function(a,b,c){return a.type!==sre.SemanticAttr.Type.INFIXOP?sre.SemanticProcessor.getInstance().infixNode_([a,c],b):sre.SemanticProcessor.getInstance().appendExistingOperator_(a,b,c)?a:b.role===sre.SemanticAttr.Role.MULTIPLICATION?sre.SemanticProcessor.getInstance().appendMultiplicativeOp_(a,b,c):sre.SemanticProcessor.getInstance().appendAdditiveOp_(a,b,c)};
sre.SemanticProcessor.prototype.appendMultiplicativeOp_=function(a,b,c){if(a.role===sre.SemanticAttr.Role.IMPLICIT)return sre.SemanticProcessor.getInstance().infixNode_([a,c],b);for(var d=a,e=a.childNodes[a.childNodes.length-1];e&&e.type===sre.SemanticAttr.Type.INFIXOP;)d=e,e=d.childNodes[a.childNodes.length-1];b=sre.SemanticProcessor.getInstance().infixNode_([d.childNodes.pop(),c],b);d.appendChild(b);return a};
sre.SemanticProcessor.prototype.appendAdditiveOp_=function(a,b,c){return sre.SemanticProcessor.getInstance().infixNode_([a,c],b)};sre.SemanticProcessor.prototype.appendExistingOperator_=function(a,b,c){return a&&a.type===sre.SemanticAttr.Type.INFIXOP&&a.role!==sre.SemanticAttr.Role.IMPLICIT?a.contentNodes[0].equals(b)?(a.appendContentNode(b),a.appendChild(c),!0):sre.SemanticProcessor.getInstance().appendExistingOperator_(a.childNodes[a.childNodes.length-1],b,c):!1};
sre.SemanticProcessor.prototype.getFencesInRow_=function(a){a=sre.SemanticProcessor.partitionNodes_(a,sre.SemanticPred.isFence);a=sre.SemanticProcessor.purgeFences_(a);var b=a.comp.shift();return sre.SemanticProcessor.getInstance().fences_(a.rel,a.comp,[],[b])};
sre.SemanticProcessor.prototype.fences_=function(a,b,c,d){if(0===a.length&&0===c.length)return d[0];var e=sre.SemanticPred.isAttribute("role","OPEN");if(0===a.length){for(a=d.shift();0<c.length;){if(e(c[0]))b=c.shift(),sre.SemanticProcessor.fenceToPunct_(b),a.push(b);else{c=sre.SemanticProcessor.sliceNodes_(c,e);var f=c.head.length-1,g=sre.SemanticProcessor.getInstance().neutralFences_(c.head,d.slice(0,f));d=d.slice(f);a.push.apply(a,g);c.div&&c.tail.unshift(c.div);c=c.tail}a.push.apply(a,d.shift())}return a}f=
c[c.length-1];g=a[0].role;if(g===sre.SemanticAttr.Role.OPEN||g===sre.SemanticAttr.Role.NEUTRAL&&(!f||a[0].textContent!==f.textContent))return c.push(a.shift()),(e=b.shift())&&d.push(e),sre.SemanticProcessor.getInstance().fences_(a,b,c,d);if(f&&(g===sre.SemanticAttr.Role.CLOSE&&f.role===sre.SemanticAttr.Role.OPEN||g===sre.SemanticAttr.Role.NEUTRAL&&a[0].textContent===f.textContent))return e=sre.SemanticProcessor.getInstance().horizontalFencedNode_(c.pop(),a.shift(),d.pop()),d.push(d.pop().concat([e],
b.shift())),sre.SemanticProcessor.getInstance().fences_(a,b,c,d);if(f&&g===sre.SemanticAttr.Role.CLOSE&&f.role===sre.SemanticAttr.Role.NEUTRAL&&c.some(e))return c=sre.SemanticProcessor.sliceNodes_(c,e,!0),e=d.pop(),f=d.length-c.tail.length+1,g=sre.SemanticProcessor.getInstance().neutralFences_(c.tail,d.slice(f)),d=d.slice(0,f),e=sre.SemanticProcessor.getInstance().horizontalFencedNode_(c.div,a.shift(),d.pop().concat(g,e)),d.push(d.pop().concat([e],b.shift())),sre.SemanticProcessor.getInstance().fences_(a,
b,c.head,d);e=a.shift();sre.SemanticProcessor.fenceToPunct_(e);d.push(d.pop().concat([e],b.shift()));return sre.SemanticProcessor.getInstance().fences_(a,b,c,d)};
sre.SemanticProcessor.prototype.neutralFences_=function(a,b){if(0===a.length)return a;if(1===a.length)return sre.SemanticProcessor.fenceToPunct_(a[0]),a;var c=a.shift(),d=sre.SemanticProcessor.sliceNodes_(a,function(a){return sre.SemanticProcessor.getEmbellishedInner_(a).textContent==sre.SemanticProcessor.getEmbellishedInner_(c).textContent});if(!d.div)return sre.SemanticProcessor.fenceToPunct_(c),d=b.shift(),d.unshift(c),d.concat(sre.SemanticProcessor.getInstance().neutralFences_(a,b));b=sre.SemanticProcessor.getInstance().combineFencedContent_(c,
d.div,d.head,b);return 0<d.tail.length?(a=b.shift(),d=sre.SemanticProcessor.getInstance().neutralFences_(d.tail,b),a.concat(d)):b[0]};
sre.SemanticProcessor.prototype.combineFencedContent_=function(a,b,c,d){if(0===c.length)return a=sre.SemanticProcessor.getInstance().horizontalFencedNode_(a,b,d.shift()),0<d.length?d[0].unshift(a):d=[[a]],d;var e=d.shift(),f=c.length-1,g=d.slice(0,f);d=d.slice(f);f=d.shift();c=sre.SemanticProcessor.getInstance().neutralFences_(c,g);e.push.apply(e,c);e.push.apply(e,f);a=sre.SemanticProcessor.getInstance().horizontalFencedNode_(a,b,e);0<d.length?d[0].unshift(a):d=[[a]];return d};
sre.SemanticProcessor.FENCE_TO_PUNCT_={};sre.SemanticProcessor.FENCE_TO_PUNCT_[sre.SemanticAttr.Role.NEUTRAL]=sre.SemanticAttr.Role.VBAR;sre.SemanticProcessor.FENCE_TO_PUNCT_[sre.SemanticAttr.Role.OPEN]=sre.SemanticAttr.Role.OPENFENCE;sre.SemanticProcessor.FENCE_TO_PUNCT_[sre.SemanticAttr.Role.CLOSE]=sre.SemanticAttr.Role.CLOSEFENCE;
sre.SemanticProcessor.fenceToPunct_=function(a){var b=sre.SemanticProcessor.FENCE_TO_PUNCT_[a.role];if(b){for(;a.embellished;)a.embellished=sre.SemanticAttr.Type.PUNCTUATION,a.role=b,a=a.childNodes[0];a.type=sre.SemanticAttr.Type.PUNCTUATION;a.role=b}};
sre.SemanticProcessor.prototype.horizontalFencedNode_=function(a,b,c){c=sre.SemanticProcessor.getInstance().row(c);b=sre.SemanticProcessor.getInstance().factory_.makeBranchNode(sre.SemanticAttr.Type.FENCED,[c],[a,b]);b.role=a.role===sre.SemanticAttr.Role.OPEN?sre.SemanticAttr.Role.LEFTRIGHT:a.role;return sre.SemanticProcessor.rewriteFencedNode_(b)};
sre.SemanticProcessor.prototype.getPunctuationInRow_=function(a){if(1>=a.length)return a;var b=sre.SemanticProcessor.partitionNodes_(a,function(a){return sre.SemanticPred.isPunctuation(a)&&!sre.SemanticPred.isAttribute("role","ELLIPSIS")(a)});if(0===b.rel.length)return a;a=[];var c=b.comp.shift();0<c.length&&a.push(sre.SemanticProcessor.getInstance().row(c));for(var d=0;0<b.comp.length;)a.push(b.rel[d++]),c=b.comp.shift(),0<c.length&&a.push(sre.SemanticProcessor.getInstance().row(c));return[sre.SemanticProcessor.getInstance().punctuatedNode_(a,
b.rel)]};
sre.SemanticProcessor.prototype.punctuatedNode_=function(a,b){var c=sre.SemanticProcessor.getInstance().factory_.makeBranchNode(sre.SemanticAttr.Type.PUNCTUATED,a,b);if(b.length===a.length){var d=b[0].role;if(d!==sre.SemanticAttr.Role.UNKNOWN&&b.every(function(a){return a.role===d}))return c.role=d,c}sre.SemanticPred.singlePunctAtPosition(a,b,0)?c.role=sre.SemanticAttr.Role.STARTPUNCT:sre.SemanticPred.singlePunctAtPosition(a,b,a.length-1)?c.role=sre.SemanticAttr.Role.ENDPUNCT:b.every(sre.SemanticPred.isAttribute("role","DUMMY"))?
c.role=sre.SemanticAttr.Role.TEXT:c.role=sre.SemanticAttr.Role.SEQUENCE;return c};sre.SemanticProcessor.prototype.dummyNode_=function(a){var b=sre.SemanticProcessor.getInstance().factory_.makeMultipleContentNodes(a.length-1,sre.SemanticAttr.invisibleComma());b.forEach(function(a){a.role=sre.SemanticAttr.Role.DUMMY});return sre.SemanticProcessor.getInstance().punctuatedNode_(a,b)};
sre.SemanticProcessor.MML_TO_LIMIT_={MSUB:sre.SemanticAttr.Type.LIMLOWER,MUNDER:sre.SemanticAttr.Type.LIMLOWER,MSUP:sre.SemanticAttr.Type.LIMUPPER,MOVER:sre.SemanticAttr.Type.LIMUPPER,MSUBSUP:sre.SemanticAttr.Type.LIMBOTH,MUNDEROVER:sre.SemanticAttr.Type.LIMBOTH};
sre.SemanticProcessor.prototype.limitNode=function(a,b){var c=b[0];if(sre.SemanticPred.isLimitBase(c))a=sre.SemanticProcessor.MML_TO_LIMIT_[a];else switch(a){case "MSUB":a=sre.SemanticAttr.Type.SUBSCRIPT;break;case "MSUP":a=sre.SemanticAttr.Type.SUPERSCRIPT;break;case "MSUBSUP":var d=sre.SemanticProcessor.getInstance().factory_.makeBranchNode(sre.SemanticAttr.Type.SUBSCRIPT,[c,b[1]],[]);d.role=sre.SemanticAttr.Role.SUBSUP;b=[d,b[2]];a=sre.SemanticAttr.Type.SUPERSCRIPT;break;case "MOVER":a=sre.SemanticAttr.Type.OVERSCORE;
sre.SemanticPred.isAccent(b[1])&&(b[1].role=sre.SemanticAttr.Role.OVERACCENT);break;case "MUNDER":a=sre.SemanticAttr.Type.UNDERSCORE;sre.SemanticPred.isAccent(b[1])&&(b[1].role=sre.SemanticAttr.Role.UNDERACCENT);break;default:d=sre.SemanticPred.isAccent(b[1]),a=sre.SemanticPred.isAccent(b[2]),d&&(b[1].role=sre.SemanticAttr.Role.UNDERACCENT),a&&(b[2].role=sre.SemanticAttr.Role.OVERACCENT),a&&!d?(d=sre.SemanticProcessor.getInstance().factory_.makeBranchNode(sre.SemanticAttr.Type.OVERSCORE,[c,b[2]],
[]),b=[d,b[1]],a=sre.SemanticAttr.Type.UNDERSCORE):(d=sre.SemanticProcessor.getInstance().factory_.makeBranchNode(sre.SemanticAttr.Type.UNDERSCORE,[c,b[1]],[]),b=[d,b[2]],a=sre.SemanticAttr.Type.OVERSCORE),d.role=sre.SemanticAttr.Role.UNDEROVER}b=sre.SemanticProcessor.getInstance().factory_.makeBranchNode(a,b,[]);a=sre.SemanticPred.isEmbellished(c);d&&(d.embellished=a);b.embellished=a;b.role=c.role;return b};
sre.SemanticProcessor.prototype.getFunctionsInRow_=function(a,b){b=b||[];if(0===a.length)return b;var c=a.shift(),d=sre.SemanticProcessor.classifyFunction_(c,a);if(!d)return b.push(c),sre.SemanticProcessor.getInstance().getFunctionsInRow_(a,b);a=sre.SemanticProcessor.getInstance().getFunctionsInRow_(a,[]);a=sre.SemanticProcessor.getInstance().getFunctionArgs_(c,a,d);return b.concat(a)};sre.SemanticProcessor.CLASSIFY_FUNCTION_={};
sre.SemanticProcessor.CLASSIFY_FUNCTION_[sre.SemanticAttr.Role.INTEGRAL]="integral";sre.SemanticProcessor.CLASSIFY_FUNCTION_[sre.SemanticAttr.Role.SUM]="bigop";sre.SemanticProcessor.CLASSIFY_FUNCTION_[sre.SemanticAttr.Role.PREFIXFUNC]="prefix";sre.SemanticProcessor.CLASSIFY_FUNCTION_[sre.SemanticAttr.Role.LIMFUNC]="prefix";
sre.SemanticProcessor.classifyFunction_=function(a,b){if(a.type===sre.SemanticAttr.Type.APPL||a.type===sre.SemanticAttr.Type.BIGOP||a.type===sre.SemanticAttr.Type.INTEGRAL)return"";if(b[0]&&b[0].textContent===sre.SemanticAttr.functionApplication()){b.shift();b=sre.SemanticAttr.Role.SIMPLEFUNC;if(a.role===sre.SemanticAttr.Role.PREFIXFUNC||a.role===sre.SemanticAttr.Role.LIMFUNC)b=a.role;sre.SemanticProcessor.propagateFunctionRole_(a,b);return"prefix"}return(b=sre.SemanticProcessor.CLASSIFY_FUNCTION_[a.role])?
b:sre.SemanticPred.isSimpleFunctionHead(a)?"simple":""};sre.SemanticProcessor.propagateFunctionRole_=function(a,b){a&&(sre.SemanticPred.isAttribute("role","SUBSUP")(a)||(a.role=b),sre.SemanticProcessor.propagateFunctionRole_(a.childNodes[0],b))};
sre.SemanticProcessor.prototype.getFunctionArgs_=function(a,b,c){switch(c){case "integral":b=sre.SemanticProcessor.getInstance().getIntegralArgs_(b);var d=sre.SemanticProcessor.getInstance().row(b.integrand);a=sre.SemanticProcessor.getInstance().integralNode_(a,d,b.intvar);b.rest.unshift(a);return b.rest;case "prefix":if(b[0]&&b[0].type===sre.SemanticAttr.Type.FENCED)return a=sre.SemanticProcessor.getInstance().functionNode_(a,b.shift()),b.unshift(a),b;case "bigop":d=sre.SemanticProcessor.sliceNodes_(b,
sre.SemanticPred.isPrefixFunctionBoundary);if(!d.head.length)return b.unshift(a),b;b=sre.SemanticProcessor.getInstance().row(d.head);a="prefix"===c?sre.SemanticProcessor.getInstance().functionNode_(a,b):sre.SemanticProcessor.getInstance().bigOpNode_(a,b);d.div&&d.tail.unshift(d.div);d.tail.unshift(a);return d.tail;default:if(0===b.length)return[a];d=b[0];if(d.type===sre.SemanticAttr.Type.FENCED&&d.role!==sre.SemanticAttr.Role.NEUTRAL&&sre.SemanticPred.isSimpleFunction(d))return sre.SemanticProcessor.propagateFunctionRole_(a,
sre.SemanticAttr.Role.SIMPLEFUNC),a=sre.SemanticProcessor.getInstance().functionNode_(a,b.shift()),b.unshift(a),b;b.unshift(a);return b}};
sre.SemanticProcessor.prototype.getIntegralArgs_=function(a,b){b=b||[];if(0===a.length)return{integrand:b,intvar:null,rest:a};var c=a[0];if(sre.SemanticPred.isGeneralFunctionBoundary(c))return{integrand:b,intvar:null,rest:a};if(sre.SemanticPred.isIntegralDxBoundarySingle(c))return{integrand:b,intvar:c,rest:a.slice(1)};if(a[1]&&sre.SemanticPred.isIntegralDxBoundary(c,a[1])){var d=sre.SemanticProcessor.getInstance().factory_.makeContentNode(sre.SemanticAttr.invisibleComma());c=sre.SemanticProcessor.getInstance().punctuatedNode_([c,
d,a[1]],[d]);c.role=sre.SemanticAttr.Role.INTEGRAL;return{integrand:b,intvar:c,rest:a.slice(2)}}b.push(a.shift());return sre.SemanticProcessor.getInstance().getIntegralArgs_(a,b)};
sre.SemanticProcessor.prototype.functionNode_=function(a,b){var c=sre.SemanticProcessor.getInstance().factory_.makeContentNode(sre.SemanticAttr.functionApplication());c.type=sre.SemanticAttr.Type.PUNCTUATION;c.role=sre.SemanticAttr.Role.APPLICATION;var d=sre.SemanticProcessor.getFunctionOp_(a,function(a){return sre.SemanticPred.isAttribute("type","FUNCTION")(a)||sre.SemanticPred.isAttribute("type","IDENTIFIER")(a)&&sre.SemanticPred.isAttribute("role","SIMPLEFUNC")(a)});return sre.SemanticProcessor.getInstance().functionalNode_(sre.SemanticAttr.Type.APPL,
[a,b],d,[c])};sre.SemanticProcessor.prototype.bigOpNode_=function(a,b){var c=sre.SemanticProcessor.getFunctionOp_(a,sre.SemanticPred.isAttribute("type","LARGEOP"));return sre.SemanticProcessor.getInstance().functionalNode_(sre.SemanticAttr.Type.BIGOP,[a,b],c,[])};
sre.SemanticProcessor.prototype.integralNode_=function(a,b,c){b=b||sre.SemanticProcessor.getInstance().factory_.makeEmptyNode();c=c||sre.SemanticProcessor.getInstance().factory_.makeEmptyNode();var d=sre.SemanticProcessor.getFunctionOp_(a,sre.SemanticPred.isAttribute("type","LARGEOP"));return sre.SemanticProcessor.getInstance().functionalNode_(sre.SemanticAttr.Type.INTEGRAL,[a,b,c],d,[])};
sre.SemanticProcessor.prototype.functionalNode_=function(a,b,c,d){var e=b[0];if(c){var f=c.parent;d.push(c)}a=sre.SemanticProcessor.getInstance().factory_.makeBranchNode(a,b,d);a.role=e.role;f&&(c.parent=f);return a};sre.SemanticProcessor.getFunctionOp_=function(a,b){if(b(a))return a;for(var c=0,d;d=a.childNodes[c];c++)if(d=sre.SemanticProcessor.getFunctionOp_(d,b))return d;return null};
sre.SemanticProcessor.prototype.tablesInRow=function(a){a=sre.SemanticProcessor.partitionNodes_(a,sre.SemanticPred.tableIsMatrixOrVector);for(var b=[],c=0,d;d=a.rel[c];c++)b=b.concat(a.comp.shift()),b.push(sre.SemanticProcessor.tableToMatrixOrVector_(d));b=b.concat(a.comp.shift());a=sre.SemanticProcessor.partitionNodes_(b,sre.SemanticPred.isTableOrMultiline);b=[];for(c=0;d=a.rel[c];c++){var e=a.comp.shift();sre.SemanticPred.tableIsCases(d,e)&&sre.SemanticProcessor.tableToCases_(d,e.pop());b=b.concat(e);
b.push(d)}return b.concat(a.comp.shift())};sre.SemanticProcessor.tableToMatrixOrVector_=function(a){var b=a.childNodes[0];sre.SemanticPred.isAttribute("type","MULTILINE")(b)?sre.SemanticProcessor.tableToVector_(a):sre.SemanticProcessor.tableToMatrix_(a);a.contentNodes.forEach(goog.bind(b.appendContentNode,b));a=0;for(var c;c=b.childNodes[a];a++)sre.SemanticProcessor.assignRoleToRow_(c,sre.SemanticProcessor.getComponentRoles_(b));b.parent=null;return b};
sre.SemanticProcessor.tableToVector_=function(a){var b=a.childNodes[0];b.type=sre.SemanticAttr.Type.VECTOR;1===b.childNodes.length?sre.SemanticProcessor.tableToSquare_(a):sre.SemanticProcessor.binomialForm_(b)};sre.SemanticProcessor.binomialForm_=function(a){sre.SemanticPred.isBinomial(a)&&(a.role=sre.SemanticAttr.Role.BINOMIAL,a.childNodes[0].role=sre.SemanticAttr.Role.BINOMIAL,a.childNodes[1].role=sre.SemanticAttr.Role.BINOMIAL)};
sre.SemanticProcessor.tableToMatrix_=function(a){var b=a.childNodes[0];b.type=sre.SemanticAttr.Type.MATRIX;b.childNodes&&0<b.childNodes.length&&b.childNodes[0].childNodes&&b.childNodes.length===b.childNodes[0].childNodes.length?sre.SemanticProcessor.tableToSquare_(a):b.childNodes&&1===b.childNodes.length&&(b.role=sre.SemanticAttr.Role.ROWVECTOR)};
sre.SemanticProcessor.tableToSquare_=function(a){var b=a.childNodes[0];sre.SemanticPred.isAttribute("role","NEUTRAL")(a)?b.role=sre.SemanticAttr.Role.DETERMINANT:b.role=sre.SemanticAttr.Role.SQUAREMATRIX};sre.SemanticProcessor.getComponentRoles_=function(a){var b=a.role;return b&&b!==sre.SemanticAttr.Role.UNKNOWN?b:sre.SemanticAttr.Role[a.type.toUpperCase()]||sre.SemanticAttr.Role.UNKNOWN};
sre.SemanticProcessor.tableToCases_=function(a,b){for(var c=0,d;d=a.childNodes[c];c++)sre.SemanticProcessor.assignRoleToRow_(d,sre.SemanticAttr.Role.CASES);a.type=sre.SemanticAttr.Type.CASES;a.appendContentNode(b);sre.SemanticPred.tableIsMultiline(a)&&sre.SemanticProcessor.binomialForm_(a);return a};
sre.SemanticProcessor.tableToMultiline=function(a){if(sre.SemanticPred.tableIsMultiline(a)){a.type=sre.SemanticAttr.Type.MULTILINE;for(var b=0,c;c=a.childNodes[b];b++)sre.SemanticProcessor.rowToLine_(c,sre.SemanticAttr.Role.MULTILINE);sre.SemanticProcessor.binomialForm_(a);sre.SemanticProcessor.classifyMultiline(a)}else sre.SemanticProcessor.classifyTable(a)};
sre.SemanticProcessor.rowToLine_=function(a,b){b=b||sre.SemanticAttr.Role.UNKNOWN;sre.SemanticPred.isAttribute("type","ROW")(a)&&(a.type=sre.SemanticAttr.Type.LINE,a.role=b,1===a.childNodes.length&&sre.SemanticPred.isAttribute("type","CELL")(a.childNodes[0])&&(a.childNodes=a.childNodes[0].childNodes,a.childNodes.forEach(function(b){b.parent=a})))};
sre.SemanticProcessor.assignRoleToRow_=function(a,b){if(sre.SemanticPred.isAttribute("type","LINE")(a))a.role=b;else if(sre.SemanticPred.isAttribute("type","ROW")(a)){a.role=b;var c=sre.SemanticPred.isAttribute("type","CELL");a.childNodes.forEach(function(a){c(a)&&(a.role=b)})}};
sre.SemanticProcessor.sliceNodes_=function(a,b,c){c&&a.reverse();for(var d=[],e=0,f;f=a[e];e++){if(b(f))return c?{head:a.slice(e+1).reverse(),div:f,tail:d.reverse()}:{head:d,div:f,tail:a.slice(e+1)};d.push(f)}return c?{head:[],div:null,tail:d.reverse()}:{head:d,div:null,tail:[]}};sre.SemanticProcessor.partitionNodes_=function(a,b){var c=[],d=[];do{var e=sre.SemanticProcessor.sliceNodes_(a,b);d.push(e.head);c.push(e.div);a=e.tail}while(e.div);c.pop();return{rel:c,comp:d}};
sre.SemanticProcessor.prototype.mfenced=function(a,b,c,d){if(c&&0<d.length){var e=sre.MathUtil.nextSeparatorFunction(c),f=[d.shift()];d.forEach(goog.bind(function(a){f.push(sre.SemanticProcessor.getInstance().factory_.makeContentNode(e()));f.push(a)},this));d=f}if(a&&b)return sre.SemanticProcessor.getInstance().horizontalFencedNode_(sre.SemanticProcessor.getInstance().factory_.makeContentNode(a),sre.SemanticProcessor.getInstance().factory_.makeContentNode(b),d);a&&d.unshift(sre.SemanticProcessor.getInstance().factory_.makeContentNode(a));
b&&d.push(sre.SemanticProcessor.getInstance().factory_.makeContentNode(b));return sre.SemanticProcessor.getInstance().row(d)};sre.SemanticProcessor.number=function(a){if(a.type===sre.SemanticAttr.Type.UNKNOWN||a.type===sre.SemanticAttr.Type.IDENTIFIER)a.type=sre.SemanticAttr.Type.NUMBER;sre.SemanticProcessor.numberRole_(a);sre.SemanticProcessor.exprFont_(a)};
sre.SemanticProcessor.numberRole_=function(a){if(a.role===sre.SemanticAttr.Role.UNKNOWN){var b=sre.SemanticUtil.splitUnicode(a.textContent).map(sre.SemanticAttr.lookupMeaning);b.every(function(a){return a.type===sre.SemanticAttr.Type.NUMBER&&a.role===sre.SemanticAttr.Role.INTEGER||a.type===sre.SemanticAttr.Type.PUNCTUATION&&a.role===sre.SemanticAttr.Role.COMMA})?a.role=sre.SemanticAttr.Role.INTEGER:b.every(function(a){return a.type===sre.SemanticAttr.Type.NUMBER&&a.role===sre.SemanticAttr.Role.INTEGER||
a.type===sre.SemanticAttr.Type.PUNCTUATION})?a.role=sre.SemanticAttr.Role.FLOAT:a.role=sre.SemanticAttr.Role.OTHERNUMBER}};sre.SemanticProcessor.exprFont_=function(a){if(a.font===sre.SemanticAttr.Font.UNKNOWN){var b=sre.SemanticUtil.splitUnicode(a.textContent).map(sre.SemanticAttr.lookupMeaning).reduce(function(a,b){return a&&b.font&&b.font!==sre.SemanticAttr.Font.UNKNOWN&&b.font!==a?a===sre.SemanticAttr.Font.UNKNOWN?b.font:null:a},sre.SemanticAttr.Font.UNKNOWN);b&&(a.font=b)}};
sre.SemanticProcessor.prototype.fractionLikeNode=function(a,b,c){return sre.SemanticUtil.isZeroLength(a)?(a=sre.SemanticProcessor.getInstance().factory_.makeBranchNode(sre.SemanticAttr.Type.LINE,[b],[]),c=sre.SemanticProcessor.getInstance().factory_.makeBranchNode(sre.SemanticAttr.Type.LINE,[c],[]),c=sre.SemanticProcessor.getInstance().factory_.makeBranchNode(sre.SemanticAttr.Type.MULTILINE,[a,c],[]),sre.SemanticProcessor.binomialForm_(c),sre.SemanticProcessor.classifyMultiline(c),c):sre.SemanticProcessor.getInstance().fractionNode_(b,
c)};sre.SemanticProcessor.prototype.fractionNode_=function(a,b){a=sre.SemanticProcessor.getInstance().factory_.makeBranchNode(sre.SemanticAttr.Type.FRACTION,[a,b],[]);a.role=a.childNodes.every(function(a){return sre.SemanticPred.isAttribute("role","INTEGER")(a)})?sre.SemanticAttr.Role.VULGAR:a.childNodes.every(function(a){return sre.SemanticPred.isAttribute("role","UNIT")(a)})?sre.SemanticAttr.Role.UNIT:sre.SemanticAttr.Role.DIVISION;return a};
sre.SemanticProcessor.prototype.tensor=function(a,b,c,d,e){b=sre.SemanticProcessor.getInstance().factory_.makeBranchNode(sre.SemanticAttr.Type.TENSOR,[a,sre.SemanticProcessor.getInstance().scriptNode_(b,sre.SemanticAttr.Role.LEFTSUB),sre.SemanticProcessor.getInstance().scriptNode_(c,sre.SemanticAttr.Role.LEFTSUPER),sre.SemanticProcessor.getInstance().scriptNode_(d,sre.SemanticAttr.Role.RIGHTSUB),sre.SemanticProcessor.getInstance().scriptNode_(e,sre.SemanticAttr.Role.RIGHTSUPER)],[]);b.role=a.role;
b.embellished=sre.SemanticPred.isEmbellished(a);return b};
sre.SemanticProcessor.prototype.pseudoTensor=function(a,b,c){var d=function(a){return!sre.SemanticPred.isAttribute("type","EMPTY")(a)},e=b.filter(d).length;d=c.filter(d).length;if(!e&&!d)return a;var f=e?d?"MSUBSUP":"MSUB":"MSUP";a=[a];e&&a.push(sre.SemanticProcessor.getInstance().scriptNode_(b,sre.SemanticAttr.Role.RIGHTSUB,!0));d&&a.push(sre.SemanticProcessor.getInstance().scriptNode_(c,sre.SemanticAttr.Role.RIGHTSUPER,!0));return sre.SemanticProcessor.getInstance().limitNode(f,a)};
sre.SemanticProcessor.prototype.scriptNode_=function(a,b,c){switch(a.length){case 0:a=sre.SemanticProcessor.getInstance().factory_.makeEmptyNode();break;case 1:a=a[0];if(c)return a;break;default:a=sre.SemanticProcessor.getInstance().dummyNode_(a)}a.role=b;return a};sre.SemanticProcessor.getEmbellishedInner_=function(a){return a&&a.embellished&&0<a.childNodes.length?sre.SemanticProcessor.getEmbellishedInner_(a.childNodes[0]):a};
sre.SemanticProcessor.purgeFences_=function(a){var b=a.rel;a=a.comp;for(var c=[],d=[];0<b.length;){var e=b.shift(),f=a.shift();sre.SemanticPred.isElligibleEmbellishedFence(e)?(c.push(e),d.push(f)):(sre.SemanticProcessor.fenceToPunct_(e),f.push(e),f=f.concat(a.shift()),a.unshift(f))}d.push(a.shift());return{rel:c,comp:d}};
sre.SemanticProcessor.rewriteFencedNode_=function(a){var b=a.contentNodes[1],c=sre.SemanticProcessor.rewriteFence_(a,a.contentNodes[0]);a.contentNodes[0]=c.fence;c=sre.SemanticProcessor.rewriteFence_(c.node,b);a.contentNodes[1]=c.fence;a.contentNodes[0].parent=a;a.contentNodes[1].parent=a;c.node.parent=null;return c.node};
sre.SemanticProcessor.rewriteFence_=function(a,b){if(!b.embellished)return{node:a,fence:b};var c=b.childNodes[0],d=sre.SemanticProcessor.rewriteFence_(a,c);if(sre.SemanticPred.isAttribute("type","SUPERSCRIPT")(b)||sre.SemanticPred.isAttribute("type","SUBSCRIPT")(b)||sre.SemanticPred.isAttribute("type","TENSOR")(b))return sre.SemanticPred.isAttribute("role","SUBSUP")(b)||(b.role=a.role),c!==d.node&&(b.replaceChild(c,d.node),c.parent=a),sre.SemanticProcessor.propagateFencePointer_(b,c),{node:b,fence:d.fence};
b.replaceChild(c,d.fence);b.mathmlTree&&-1===b.mathml.indexOf(b.mathmlTree)&&b.mathml.push(b.mathmlTree);return{node:d.node,fence:b}};sre.SemanticProcessor.propagateFencePointer_=function(a,b){a.fencePointer=b.fencePointer||b.id.toString();a.embellished=null};
sre.SemanticProcessor.classifyMultiline=function(a){for(var b=0,c=a.childNodes.length,d;b<c&&(!(d=a.childNodes[b])||!d.childNodes.length);)b++;if(!(b>=c)){var e=d.childNodes[0].role;e!==sre.SemanticAttr.Role.UNKNOWN&&a.childNodes.every(function(a){a=a.childNodes[0];return!a||a.role===e&&(sre.SemanticPred.isAttribute("type","RELATION")(a)||sre.SemanticPred.isAttribute("type","RELSEQ")(a))})&&(a.role=e)}};
sre.SemanticProcessor.classifyTable=function(a){var b=sre.SemanticProcessor.computeColumns_(a);sre.SemanticProcessor.classifyByColumns_(a,b,"EQUALITY")||sre.SemanticProcessor.classifyByColumns_(a,b,"INEQUALITY",["EQUALITY"])||sre.SemanticProcessor.classifyByColumns_(a,b,"ARROW")};
sre.SemanticProcessor.classifyByColumns_=function(a,b,c,d){d=function(a){return sre.SemanticProcessor.isPureRelation_(a,c)};var e=function(a){return sre.SemanticProcessor.isEndRelation_(a,c)||sre.SemanticProcessor.isPureRelation_(a,c)},f=function(a){return sre.SemanticProcessor.isEndRelation_(a,c,!0)||sre.SemanticProcessor.isPureRelation_(a,c)};return 3===b.length&&sre.SemanticProcessor.testColumns_(b,1,d)||2===b.length&&(sre.SemanticProcessor.testColumns_(b,1,e)||sre.SemanticProcessor.testColumns_(b,
0,f))?(a.role=sre.SemanticAttr.Role[c],!0):!1};sre.SemanticProcessor.isEndRelation_=function(a,b,c){c=c?a.childNodes.length-1:0;return sre.SemanticPred.isAttribute("type","RELSEQ")(a)&&sre.SemanticPred.isAttribute("role",b)(a)&&sre.SemanticPred.isAttribute("type","EMPTY")(a.childNodes[c])};sre.SemanticProcessor.isPureRelation_=function(a,b){return sre.SemanticPred.isAttribute("type","RELATION")(a)&&sre.SemanticPred.isAttribute("role",b)(a)};
sre.SemanticProcessor.computeColumns_=function(a){for(var b=[],c=0,d;d=a.childNodes[c];c++)for(var e=0,f;f=d.childNodes[e];e++)b[e]?b[e].push(f):b[e]=[f];return b};sre.SemanticProcessor.testColumns_=function(a,b,c){return(a=a[b])?a.some(function(a){return a.childNodes.length&&c(a.childNodes[0])})&&a.every(function(a){return!a.childNodes.length||c(a.childNodes[0])}):!1};
sre.SemanticProcessor.MATHJAX_FONTS={"-tex-caligraphic":sre.SemanticAttr.Font.CALIGRAPHIC,"-tex-caligraphic-bold":sre.SemanticAttr.Font.CALIGRAPHICBOLD,"-tex-oldstyle":sre.SemanticAttr.Font.OLDSTYLE,"-tex-oldstyle-bold":sre.SemanticAttr.Font.OLDSTYLEBOLD,"-tex-mathit":sre.SemanticAttr.Font.ITALIC};sre.SemanticProcessor.prototype.font=function(a){var b=sre.SemanticProcessor.MATHJAX_FONTS[a];return b?b:a};sre.SemanticMathml=function(){sre.SemanticAbstractParser.call(this,"MathML");this.parseMap_={SEMANTICS:goog.bind(this.semantics_,this),MATH:goog.bind(this.rows_,this),MROW:goog.bind(this.rows_,this),MPADDED:goog.bind(this.rows_,this),MSTYLE:goog.bind(this.rows_,this),MFRAC:goog.bind(this.fraction_,this),MSUB:goog.bind(this.limits_,this),MSUP:goog.bind(this.limits_,this),MSUBSUP:goog.bind(this.limits_,this),MOVER:goog.bind(this.limits_,this),MUNDER:goog.bind(this.limits_,this),MUNDEROVER:goog.bind(this.limits_,
this),MROOT:goog.bind(this.root_,this),MSQRT:goog.bind(this.sqrt_,this),MTABLE:goog.bind(this.table_,this),MLABELEDTR:goog.bind(this.tableLabeledRow_,this),MTR:goog.bind(this.tableRow_,this),MTD:goog.bind(this.tableCell_,this),MS:goog.bind(this.text_,this),MTEXT:goog.bind(this.text_,this),"ANNOTATION-XML":goog.bind(this.text_,this),MI:goog.bind(this.identifier_,this),MN:goog.bind(this.number_,this),MO:goog.bind(this.operator_,this),MFENCED:goog.bind(this.fenced_,this),MENCLOSE:goog.bind(this.enclosed_,
this),MMULTISCRIPTS:goog.bind(this.multiscripts_,this),ANNOTATION:goog.bind(this.empty_,this),NONE:goog.bind(this.empty_,this),MACTION:goog.bind(this.action_,this)}};goog.inherits(sre.SemanticMathml,sre.SemanticAbstractParser);
sre.SemanticMathml.prototype.parse=function(a){sre.SemanticProcessor.getInstance().setNodeFactory(this.getFactory());var b=sre.DomUtil.toArray(a.childNodes),c=sre.DomUtil.tagName(a),d=this.parseMap_[c];b=(d?d:goog.bind(this.dummy_,this))(a,b);if(-1!==["MATH","MROW","MPADDED","MSTYLE","SEMANTICS"].indexOf(c))return b;b.mathml.unshift(a);b.mathmlTree=a;return b};sre.SemanticMathml.prototype.parseNodes_=function(a){for(var b=[],c=0,d;d=a[c];c++)b.push(this.parse(d));return b};
sre.SemanticMathml.prototype.semantics_=function(a,b){return b.length?this.parse(b[0]):this.getFactory().makeEmptyNode()};sre.SemanticMathml.prototype.rows_=function(a,b){b=sre.SemanticUtil.purgeNodes(b);b=1===b.length?this.parse(b[0]):sre.SemanticProcessor.getInstance().row(this.parseNodes_(b));b.mathml.unshift(a);return b};sre.SemanticMathml.prototype.fraction_=function(a,b){return sre.SemanticProcessor.getInstance().fractionLikeNode(a.getAttribute("linethickness"),this.parse(b[0]),this.parse(b[1]))};
sre.SemanticMathml.prototype.limits_=function(a,b){return sre.SemanticProcessor.getInstance().limitNode(sre.DomUtil.tagName(a),this.parseNodes_(b))};sre.SemanticMathml.prototype.root_=function(a,b){return this.getFactory().makeBranchNode(sre.SemanticAttr.Type.ROOT,[this.parse(b[1]),this.parse(b[0])],[])};
sre.SemanticMathml.prototype.sqrt_=function(a,b){a=this.parseNodes_(sre.SemanticUtil.purgeNodes(b));return this.getFactory().makeBranchNode(sre.SemanticAttr.Type.SQRT,[sre.SemanticProcessor.getInstance().row(a)],[])};sre.SemanticMathml.prototype.table_=function(a,b){a=this.getFactory().makeBranchNode(sre.SemanticAttr.Type.TABLE,this.parseNodes_(b),[]);sre.SemanticProcessor.tableToMultiline(a);return a};
sre.SemanticMathml.prototype.tableRow_=function(a,b){a=this.getFactory().makeBranchNode(sre.SemanticAttr.Type.ROW,this.parseNodes_(b),[]);a.role=sre.SemanticAttr.Role.TABLE;return a};sre.SemanticMathml.prototype.tableLabeledRow_=function(a,b){if(!b.length)return this.tableRow_(a,b);a=this.parse(b[0]);a.role=sre.SemanticAttr.Role.LABEL;b=this.getFactory().makeBranchNode(sre.SemanticAttr.Type.ROW,this.parseNodes_(b.slice(1)),[a]);b.role=sre.SemanticAttr.Role.TABLE;return b};
sre.SemanticMathml.prototype.tableCell_=function(a,b){a=this.parseNodes_(sre.SemanticUtil.purgeNodes(b));a=a.length?1===a.length&&sre.SemanticPred.isAttribute("type","EMPTY")(a[0])?a:[sre.SemanticProcessor.getInstance().row(a)]:[];a=this.getFactory().makeBranchNode(sre.SemanticAttr.Type.CELL,a,[]);a.role=sre.SemanticAttr.Role.TABLE;return a};
sre.SemanticMathml.prototype.text_=function(a,b){return sre.SemanticProcessor.getInstance().text(a.textContent,sre.SemanticProcessor.getInstance().font(a.getAttribute("mathvariant")),sre.DomUtil.tagName(a))};sre.SemanticMathml.prototype.identifier_=function(a,b){return sre.SemanticProcessor.getInstance().identifierNode(a.textContent,sre.SemanticProcessor.getInstance().font(a.getAttribute("mathvariant")),a.getAttribute("class"))};
sre.SemanticMathml.prototype.number_=function(a,b){a=this.leaf_(a);sre.SemanticProcessor.number(a);return a};sre.SemanticMathml.prototype.operator_=function(a,b){a=this.leaf_(a);a.type===sre.SemanticAttr.Type.UNKNOWN&&(a.type=sre.SemanticAttr.Type.OPERATOR);return a};
sre.SemanticMathml.prototype.fenced_=function(a,b){b=this.parseNodes_(sre.SemanticUtil.purgeNodes(b));var c=sre.SemanticMathml.getAttribute_(a,"separators",","),d=sre.SemanticMathml.getAttribute_(a,"open","(");a=sre.SemanticMathml.getAttribute_(a,"close",")");a=sre.SemanticProcessor.getInstance().mfenced(d,a,c,b);return sre.SemanticProcessor.getInstance().tablesInRow([a])[0]};
sre.SemanticMathml.prototype.enclosed_=function(a,b){b=this.parseNodes_(sre.SemanticUtil.purgeNodes(b));b=this.getFactory().makeBranchNode(sre.SemanticAttr.Type.ENCLOSE,[sre.SemanticProcessor.getInstance().row(b)],[]);b.role=a.getAttribute("notation")||sre.SemanticAttr.Role.UNKNOWN;return b};
sre.SemanticMathml.prototype.multiscripts_=function(a,b){if(!b.length)return this.getFactory().makeEmptyNode();a=this.parse(b.shift());if(!b.length)return a;for(var c=[],d=[],e=[],f=[],g=!1,h=0,k=0,l;l=b[k];k++)"MPRESCRIPTS"===sre.DomUtil.tagName(l)?(g=!0,h=0):(g?h&1?c.push(l):d.push(l):h&1?e.push(l):f.push(l),h++);return sre.SemanticUtil.purgeNodes(c).length||sre.SemanticUtil.purgeNodes(d).length?sre.SemanticProcessor.getInstance().tensor(a,this.parseNodes_(d),this.parseNodes_(c),this.parseNodes_(f),
this.parseNodes_(e)):sre.SemanticProcessor.getInstance().pseudoTensor(a,this.parseNodes_(f),this.parseNodes_(e))};sre.SemanticMathml.prototype.empty_=function(a,b){return this.getFactory().makeEmptyNode()};sre.SemanticMathml.prototype.action_=function(a,b){return 1<b.length?this.parse(b[1]):this.getFactory().makeUnprocessed(a)};sre.SemanticMathml.prototype.dummy_=function(a,b){return this.getFactory().makeUnprocessed(a)};
sre.SemanticMathml.prototype.leaf_=function(a){return this.getFactory().makeLeafNode(a.textContent,sre.SemanticProcessor.getInstance().font(a.getAttribute("mathvariant")))};sre.SemanticMathml.getAttribute_=function(a,b,c){if(!a.hasAttribute(b))return c;a=a.getAttribute(b);return a.match(/^\s*$/)?null:a};sre.SemanticTree=function(a){this.mathml=a;this.parser=new sre.SemanticMathml;this.root=this.parser.parse(a)};sre.SemanticTree.empty=function(){var a=sre.DomUtil.parseInput("<math/>"),b=new sre.SemanticTree(a);b.mathml=a;return b};sre.SemanticTree.fromNode=function(a,b){var c=sre.SemanticTree.empty();c.root=a;b&&(c.mathml=b);return c};sre.SemanticTree.fromRoot=function(a,b){for(;a.parent;)a=a.parent;a=sre.SemanticTree.fromNode(a);b&&(a.mathml=b);return a};
sre.SemanticTree.prototype.xml=function(a){var b=sre.DomUtil.parseInput("<stree></stree>");a=this.root.xml(b.ownerDocument,a);b.appendChild(a);return b};sre.SemanticTree.prototype.toString=function(a){return(new sre.SystemExternal.xmldom.XMLSerializer).serializeToString(this.xml(a))};sre.SemanticTree.prototype.formatXml=function(a){a=this.toString(a);return sre.DomUtil.formatXml(a)};sre.SemanticTree.prototype.displayTree=function(){this.root.displayTree(0)};
sre.SemanticTree.prototype.replaceNode=function(a,b){var c=a.parent;c?c.replaceChild(a,b):this.root=b};sre.Semantic={};sre.Semantic.Font=sre.SemanticAttr.Font;sre.Semantic.Role=sre.SemanticAttr.Role;sre.Semantic.Type=sre.SemanticAttr.Type;sre.Semantic.xmlTree=function(a){return sre.Semantic.getTree(a).xml()};sre.Semantic.getTree=function(a){return new sre.SemanticTree(a)};sre.Semantic.getTreeFromString=function(a){a=sre.DomUtil.parseInput(a);return sre.Semantic.getTree(a)};sre.SemanticSkeleton=function(a){this.array=a=0===a?a:a||[];this.levelsMap=this.parents=null};sre.SemanticSkeleton.prototype.populate=function(){this.parents&&this.levelsMap||(this.parents={},this.levelsMap={},this.populate_(this.array,this.array,[]))};
sre.SemanticSkeleton.prototype.populate_=function(a,b,c){if(sre.SemanticSkeleton.simpleCollapseStructure(a))this.levelsMap[a]=b,this.parents[a]=a===c[0]?c.slice(1):c;else{b=sre.SemanticSkeleton.contentCollapseStructure(a)?a.slice(1):a;c=[b[0]].concat(c);for(var d=0,e=b.length;d<e;d++)this.populate_(b[d],a,c)}};sre.SemanticSkeleton.prototype.toString=function(){return sre.SemanticSkeleton.makeSexp_(this.array)};
sre.SemanticSkeleton.makeSexp_=function(a){return sre.SemanticSkeleton.simpleCollapseStructure(a)?a.toString():sre.SemanticSkeleton.contentCollapseStructure(a)?"(c "+a.slice(1).map(sre.SemanticSkeleton.makeSexp_).join(" ")+")":"("+a.map(sre.SemanticSkeleton.makeSexp_).join(" ")+")"};sre.SemanticSkeleton.fromTree=function(a){return sre.SemanticSkeleton.fromNode(a.root)};sre.SemanticSkeleton.fromNode=function(a){return new sre.SemanticSkeleton(sre.SemanticSkeleton.fromNode_(a))};
sre.SemanticSkeleton.fromString=function(a){return new sre.SemanticSkeleton(sre.SemanticSkeleton.fromString_(a))};sre.SemanticSkeleton.fromString_=function(a){a=a.replace(/\(/g,"[");a=a.replace(/\)/g,"]");a=a.replace(/ /g,",");a=a.replace(/c/g,'"c"');return JSON.parse(a)};
sre.SemanticSkeleton.fromNode_=function(a){if(!a)return[];var b=a.contentNodes;if(b.length){var c=b.map(sre.SemanticSkeleton.fromNode_);c.unshift("c")}var d=a.childNodes;if(!d.length)return b.length?[a.id,c]:a.id;d=d.map(sre.SemanticSkeleton.fromNode_);b.length&&d.unshift(c);d.unshift(a.id);return d};sre.SemanticSkeleton.simpleCollapseStructure=function(a){return"number"===typeof a};
sre.SemanticSkeleton.contentCollapseStructure=function(a){return!!a&&!sre.SemanticSkeleton.simpleCollapseStructure(a)&&"c"===a[0]};sre.SemanticSkeleton.interleaveIds=function(a,b){return sre.BaseUtil.interleaveLists(sre.SemanticSkeleton.collapsedLeafs(a),sre.SemanticSkeleton.collapsedLeafs(b))};
sre.SemanticSkeleton.collapsedLeafs=function(a){var b=function(a){return sre.SemanticSkeleton.simpleCollapseStructure(a)?[a]:sre.SemanticSkeleton.contentCollapseStructure(a[1])?a.slice(2):a.slice(1)};return Array.prototype.slice.call(arguments,0).reduce(function(a,d){return a.concat(b(d))},[])};sre.SemanticSkeleton.fromStructure=function(a){return new sre.SemanticSkeleton(sre.SemanticSkeleton.tree_(a.root))};
sre.SemanticSkeleton.tree_=function(a){if(!a)return[];if(!a.childNodes.length)return a.id;var b=[a.id];a=sre.SemanticSkeleton.combineContentChildren(a,a.contentNodes.map(function(a){return a}),a.childNodes.map(function(a){return a}));for(var c=0,d;d=a[c];c++)b.push(sre.SemanticSkeleton.tree_(d));return b};
sre.SemanticSkeleton.combineContentChildren=function(a,b,c){switch(a.type){case sre.Semantic.Type.RELSEQ:case sre.Semantic.Type.INFIXOP:case sre.Semantic.Type.MULTIREL:return sre.BaseUtil.interleaveLists(c,b);case sre.Semantic.Type.PREFIXOP:return b.concat(c);case sre.Semantic.Type.POSTFIXOP:return c.concat(b);case sre.Semantic.Type.FENCED:return c.unshift(b[0]),c.push(b[1]),c;case sre.Semantic.Type.APPL:return[c[0],b[0],c[1]];case sre.Semantic.Type.ROOT:return[c[1],c[0]];case sre.Semantic.Type.ROW:case sre.Semantic.Type.LINE:return b.length&&
c.unshift(b[0]),c;default:return c}};sre.EnrichMathml={};sre.EnrichMathml.Error=function(a){Error.call(this);this.message=a||"";this.name="MathML Enrichment Error"};goog.inherits(sre.EnrichMathml.Error,Error);sre.EnrichMathml.SETTINGS={collapsed:!0,implicit:!0};sre.EnrichMathml.ATTRIBUTE_PREFIX_="data-semantic-";
sre.EnrichMathml.Attribute={ADDED:sre.EnrichMathml.ATTRIBUTE_PREFIX_+"added",ALTERNATIVE:sre.EnrichMathml.ATTRIBUTE_PREFIX_+"alternative",CHILDREN:sre.EnrichMathml.ATTRIBUTE_PREFIX_+"children",COLLAPSED:sre.EnrichMathml.ATTRIBUTE_PREFIX_+"collapsed",CONTENT:sre.EnrichMathml.ATTRIBUTE_PREFIX_+"content",EMBELLISHED:sre.EnrichMathml.ATTRIBUTE_PREFIX_+"embellished",FENCEPOINTER:sre.EnrichMathml.ATTRIBUTE_PREFIX_+"fencepointer",FONT:sre.EnrichMathml.ATTRIBUTE_PREFIX_+"font",ID:sre.EnrichMathml.ATTRIBUTE_PREFIX_+
"id",OPERATOR:sre.EnrichMathml.ATTRIBUTE_PREFIX_+"operator",PARENT:sre.EnrichMathml.ATTRIBUTE_PREFIX_+"parent",PREFIX:sre.EnrichMathml.ATTRIBUTE_PREFIX_+"prefix",ROLE:sre.EnrichMathml.ATTRIBUTE_PREFIX_+"role",SPEECH:sre.EnrichMathml.ATTRIBUTE_PREFIX_+"speech",STRUCTURE:sre.EnrichMathml.ATTRIBUTE_PREFIX_+"structure",TYPE:sre.EnrichMathml.ATTRIBUTE_PREFIX_+"type"};
sre.EnrichMathml.enrich=function(a,b){var c=a.cloneNode(!0);sre.EnrichMathml.walkTree(b.root);sre.Engine.getInstance().structure&&a.setAttribute(sre.EnrichMathml.Attribute.STRUCTURE,sre.SemanticSkeleton.fromStructure(b).toString());sre.Debugger.getInstance().generateOutput(function(){sre.EnrichMathml.formattedOutput(c,a,b,!0);return[]});return a};
sre.EnrichMathml.walkTree=function(a){var b=sre.EnrichCaseFactory.getCase(a);if(b)return b=b.getMathml(),sre.EnrichMathml.ascendNewNode(b);if(1===a.mathml.length)return sre.Debugger.getInstance().output("Walktree Case 0"),b=a.mathml[0],sre.EnrichMathml.setAttributes(b,a),sre.EnrichMathml.ascendNewNode(b);b=a.contentNodes.map(sre.EnrichMathml.cloneContentNode);sre.EnrichMathml.setOperatorAttribute_(a,b);var c=a.childNodes.map(sre.EnrichMathml.walkTree);c=sre.SemanticSkeleton.combineContentChildren(a,
b,c);b=a.mathmlTree;if(null===b)sre.Debugger.getInstance().output("Walktree Case 1"),b=sre.EnrichMathml.introduceNewLayer(c);else{var d=sre.EnrichMathml.attachedElement_(c);sre.Debugger.getInstance().output("Walktree Case 2");d?(sre.Debugger.getInstance().output("Walktree Case 2.1"),b=d.parentNode):(sre.Debugger.getInstance().output("Walktree Case 2.2"),b=sre.EnrichMathml.getInnerNode(b))}b=sre.EnrichMathml.rewriteMfenced(b);sre.EnrichMathml.mergeChildren_(b,c);sre.EnrichMathml.setAttributes(b,a);
return sre.EnrichMathml.ascendNewNode(b)};
sre.EnrichMathml.introduceNewLayer=function(a){var b=sre.EnrichMathml.mathmlLca_(a),c=b.node,d=b.type;d===sre.EnrichMathml.lcaType.VALID&&sre.SemanticUtil.hasEmptyTag(c)||(sre.Debugger.getInstance().output("Walktree Case 1.1"),c=sre.DomUtil.createElement("mrow"),d===sre.EnrichMathml.lcaType.PRUNED?(sre.Debugger.getInstance().output("Walktree Case 1.1.0"),c=sre.EnrichMathml.introduceLayerAboveLca(c,b.node,a)):a[0]&&(sre.Debugger.getInstance().output("Walktree Case 1.1.1"),b=sre.EnrichMathml.attachedElement_(a),
a=sre.EnrichMathml.childrenSubset_(b.parentNode,a),sre.DomUtil.replaceNode(b,c),a.forEach(function(a){c.appendChild(a)})));return c};
sre.EnrichMathml.introduceLayerAboveLca=function(a,b,c){var d=sre.EnrichMathml.descendNode_(b);if(sre.SemanticUtil.hasMathTag(d)){sre.Debugger.getInstance().output("Walktree Case 1.1.0.0");sre.EnrichMathml.moveSemanticAttributes_(d,a);sre.DomUtil.toArray(d.childNodes).forEach(function(b){a.appendChild(b)});var e=a;a=d;d=e}b=c.indexOf(b);c[b]=d;sre.DomUtil.replaceNode(d,a);a.appendChild(d);c.forEach(function(b){a.appendChild(b)});return a};
sre.EnrichMathml.moveSemanticAttributes_=function(a,b){for(var c in sre.EnrichMathml.Attribute){var d=sre.EnrichMathml.Attribute[c];a.hasAttribute(d)&&(b.setAttribute(d,a.getAttribute(d)),a.removeAttribute(d))}};sre.EnrichMathml.childrenSubset_=function(a,b){var c=sre.DomUtil.toArray(a.childNodes),d=Infinity,e=-Infinity;b.forEach(function(a){a=c.indexOf(a);-1!==a&&(d=Math.min(d,a),e=Math.max(e,a))});return c.slice(d,e+1)};
sre.EnrichMathml.mergeChildren_=function(a,b){var c=a.childNodes;if(c.length)for(var d=0;b.length;)c[d]===b[0]||sre.EnrichMathml.functionApplication_(c[d],b[0])?(b.shift(),d++):c[d]&&-1===b.indexOf(c[d])?d++:(sre.EnrichMathml.isDescendant_(b[0],a)||a.insertBefore(b[0],c[d]||null),b.shift());else b.forEach(function(b){a.appendChild(b)})};sre.EnrichMathml.isDescendant_=function(a,b){if(!a)return!1;do if(a=a.parentNode,a===b)return!0;while(a);return!1};
sre.EnrichMathml.functionApplication_=function(a,b){var c=sre.SemanticAttr.functionApplication();return a&&b&&a.textContent&&b.textContent&&a.textContent===c&&b.textContent===c&&"true"===b.getAttribute(sre.EnrichMathml.Attribute.ADDED)?(sre.DomUtil.replaceNode(a,b),!0):!1};sre.EnrichMathml.lcaType={VALID:"valid",INVALID:"invalid",PRUNED:"pruned"};
sre.EnrichMathml.mathmlLca_=function(a){var b=sre.EnrichMathml.attachedElement_(a);if(!b)return{type:sre.EnrichMathml.lcaType.INVALID,node:null};var c=sre.EnrichMathml.attachedElement_(a.slice().reverse());if(b===c)return{type:sre.EnrichMathml.lcaType.VALID,node:b};b=sre.EnrichMathml.pathToRoot_(b);var d=sre.EnrichMathml.prunePath_(b,a);a=sre.EnrichMathml.pathToRoot_(c,function(a){return-1!==d.indexOf(a)});c=a[0];var e=d.indexOf(c);return-1===e?{type:sre.EnrichMathml.lcaType.INVALID,node:null}:{type:d.length!==
b.length?sre.EnrichMathml.lcaType.PRUNED:sre.EnrichMathml.validLca_(d[e+1],a[1])?sre.EnrichMathml.lcaType.VALID:sre.EnrichMathml.lcaType.INVALID,node:c}};sre.EnrichMathml.prunePath_=function(a,b){for(var c=0;a[c]&&-1===b.indexOf(a[c]);)c++;return a.slice(0,c+1)};sre.EnrichMathml.attachedElement_=function(a){for(var b=0,c=null;!c&&b<a.length;)a[b].parentNode&&(c=a[b]),b++;return c};
sre.EnrichMathml.pathToRoot_=function(a,b){b=b||function(a){return!1};for(var c=[a];!b(a)&&!sre.SemanticUtil.hasMathTag(a)&&a.parentNode;)a=sre.EnrichMathml.parentNode_(a),c.unshift(a);return c};sre.EnrichMathml.validLca_=function(a,b){return!(!a||!b||a.previousSibling||b.nextSibling)};sre.EnrichMathml.ascendNewNode=function(a){for(;!sre.SemanticUtil.hasMathTag(a)&&sre.EnrichMathml.unitChild_(a);)a=sre.EnrichMathml.parentNode_(a);return a};
sre.EnrichMathml.descendNode_=function(a){var b=sre.DomUtil.toArray(a.childNodes);if(!b)return a;b=b.filter(function(a){return a.nodeType===sre.DomUtil.NodeType.ELEMENT_NODE&&!sre.SemanticUtil.hasIgnoreTag(a)});return 1===b.length&&sre.SemanticUtil.hasEmptyTag(b[0])&&!b[0].hasAttribute(sre.EnrichMathml.Attribute.TYPE)?sre.EnrichMathml.descendNode_(b[0]):a};
sre.EnrichMathml.unitChild_=function(a){var b=sre.EnrichMathml.parentNode_(a);return b&&sre.SemanticUtil.hasEmptyTag(b)?sre.DomUtil.toArray(b.childNodes).every(function(b){return b===a||sre.EnrichMathml.isIgnorable_(b)}):!1};sre.EnrichMathml.isIgnorable_=function(a){if(!a||sre.SemanticUtil.hasIgnoreTag(a))return!0;var b=sre.DomUtil.toArray(a.childNodes);return!sre.SemanticUtil.hasEmptyTag(a)&&b.length?!1:sre.DomUtil.toArray(a.childNodes).every(sre.EnrichMathml.isIgnorable_)};
sre.EnrichMathml.parentNode_=function(a){return a.parentNode};sre.EnrichMathml.addCollapsedAttribute=function(a,b){b=new sre.SemanticSkeleton(b);a.setAttribute(sre.EnrichMathml.Attribute.COLLAPSED,b.toString())};sre.EnrichMathml.cloneContentNode=function(a){if(a.mathml.length)return sre.EnrichMathml.walkTree(a);var b=sre.EnrichMathml.SETTINGS.implicit?sre.EnrichMathml.createInvisibleOperator_(a):sre.DomUtil.createElement("mrow");a.mathml=[b];return b};sre.EnrichMathml.makeIdList=function(a){return a.map(function(a){return a.id}).join(",")};
sre.EnrichMathml.setAttributes=function(a,b){a.setAttribute(sre.EnrichMathml.Attribute.TYPE,b.type);a.setAttribute(sre.EnrichMathml.Attribute.ROLE,b.role);b.font!=sre.Semantic.Font.UNKNOWN&&a.setAttribute(sre.EnrichMathml.Attribute.FONT,b.font);a.setAttribute(sre.EnrichMathml.Attribute.ID,b.id);b.childNodes.length&&a.setAttribute(sre.EnrichMathml.Attribute.CHILDREN,sre.EnrichMathml.makeIdList(b.childNodes));b.contentNodes.length&&a.setAttribute(sre.EnrichMathml.Attribute.CONTENT,sre.EnrichMathml.makeIdList(b.contentNodes));
b.parent&&a.setAttribute(sre.EnrichMathml.Attribute.PARENT,b.parent.id);b.embellished&&a.setAttribute(sre.EnrichMathml.Attribute.EMBELLISHED,b.embellished);b.fencePointer&&a.setAttribute(sre.EnrichMathml.Attribute.FENCEPOINTER,b.fencePointer)};
sre.EnrichMathml.combineContentChildren_=function(a,b,c){switch(a.type){case sre.Semantic.Type.RELSEQ:case sre.Semantic.Type.INFIXOP:case sre.Semantic.Type.MULTIREL:return sre.BaseUtil.interleaveLists(c,b);case sre.Semantic.Type.PREFIXOP:return b.concat(c);case sre.Semantic.Type.POSTFIXOP:return c.concat(b);case sre.Semantic.Type.FENCED:return c.unshift(b[0]),c.push(b[1]),c;case sre.Semantic.Type.APPL:return[c[0],b[0],c[1]];case sre.Semantic.Type.ROOT:return[c[1],c[0]];case sre.Semantic.Type.ROW:case sre.Semantic.Type.LINE:return b.length&&
c.unshift(b[0]),c;default:return c}};sre.EnrichMathml.rewriteMfenced=function(a){if("MFENCED"!==sre.DomUtil.tagName(a))return a;for(var b=sre.DomUtil.createElement("mrow"),c=0,d;d=a.attributes[c];c++)-1===["open","close","separators"].indexOf(d.name)&&b.setAttribute(d.name,d.value);sre.DomUtil.toArray(a.childNodes).forEach(function(a){b.appendChild(a)});sre.DomUtil.replaceNode(a,b);return b};
sre.EnrichMathml.createInvisibleOperator_=function(a){var b=sre.DomUtil.createElement("mo"),c=sre.DomUtil.createTextNode(a.textContent);b.appendChild(c);sre.EnrichMathml.setAttributes(b,a);b.setAttribute(sre.EnrichMathml.Attribute.ADDED,"true");return b};sre.EnrichMathml.setOperatorAttribute_=function(a,b){var c=a.type+(a.textContent?","+a.textContent:"");b.forEach(function(a){sre.EnrichMathml.getInnerNode(a).setAttribute(sre.EnrichMathml.Attribute.OPERATOR,c)})};
sre.EnrichMathml.getInnerNode=function(a){var b=sre.DomUtil.toArray(a.childNodes);if(!b)return a;b=b.filter(function(a){return a.nodeType===sre.DomUtil.NodeType.ELEMENT_NODE&&!sre.EnrichMathml.isIgnorable_(a)});for(var c=[],d=0,e;e=b[d];d++)if(sre.SemanticUtil.hasEmptyTag(e)){var f=sre.EnrichMathml.getInnerNode(e);f&&f!==e&&c.push(f)}else c.push(e);return 1===c.length?c[0]:a};
sre.EnrichMathml.formattedOutput=function(a,b,c,d){d=d||!1;sre.EnrichMathml.formattedOutput_(a,"Original MathML",d);sre.EnrichMathml.formattedOutput_(c,"Semantic Tree",d);sre.EnrichMathml.formattedOutput_(b,"Semantically enriched MathML",d)};sre.EnrichMathml.formattedOutput_=function(a,b,c){a=sre.DomUtil.formatXml(a.toString());c?console.log(b+":\n```html\n"+sre.EnrichMathml.removeAttributePrefix(a)+"\n```\n"):console.log(a)};
sre.EnrichMathml.removeAttributePrefix=function(a){return a.toString().replace(new RegExp(sre.EnrichMathml.ATTRIBUTE_PREFIX_,"g"),"")};sre.EnrichMathml.collapsePunctuated=function(a,b){var c=!!b;b=b||[];var d=a.parent,e=a.contentNodes.map(function(a){return a.id});e.unshift("c");e=[a.id,e];for(var f=0,g;g=a.childNodes[f];f++){var h=sre.EnrichMathml.walkTree(g);b.push(h);h=sre.EnrichMathml.getInnerNode(h);d&&!c&&h.setAttribute(sre.EnrichMathml.Attribute.PARENT,d.id);e.push(g.id)}return e};
sre.EnrichMathml.printNodeList__=function(a,b){console.log(a);sre.DomUtil.toArray(b).forEach(function(a){console.log(a.toString())});console.log("<<<<<<<<<<<<<<<<<")};sre.CaseBinomial=function(a){sre.AbstractEnrichCase.call(this,a);this.mml=a.mathmlTree};goog.inherits(sre.CaseBinomial,sre.AbstractEnrichCase);sre.CaseBinomial.test=function(a){return!a.mathmlTree&&a.type===sre.SemanticAttr.Type.LINE&&a.role===sre.SemanticAttr.Role.BINOMIAL};
sre.CaseBinomial.prototype.getMathml=function(){if(!this.semantic.childNodes.length)return this.mml;this.mml=sre.EnrichMathml.walkTree(this.semantic.childNodes[0]);if(this.mml.hasAttribute(sre.EnrichMathml.Attribute.TYPE)){var a=sre.DomUtil.createElement("mrow");a.setAttribute(sre.EnrichMathml.Attribute.ADDED,"true");sre.DomUtil.replaceNode(this.mml,a);a.appendChild(this.mml);this.mml=a}sre.EnrichMathml.setAttributes(this.mml,this.semantic);return this.mml};sre.CaseDoubleScript=function(a){sre.AbstractEnrichCase.call(this,a);this.mml=a.mathmlTree};goog.inherits(sre.CaseDoubleScript,sre.AbstractEnrichCase);sre.CaseDoubleScript.test=function(a){if(!a.mathmlTree||!a.childNodes.length)return!1;var b=sre.DomUtil.tagName(a.mathmlTree);a=a.childNodes[0].role;return"MSUBSUP"===b&&a===sre.SemanticAttr.Role.SUBSUP||"MUNDEROVER"===b&&a===sre.SemanticAttr.Role.UNDEROVER};
sre.CaseDoubleScript.prototype.getMathml=function(){var a=this.semantic.childNodes[0],b=a.childNodes[0],c=this.semantic.childNodes[1],d=a.childNodes[1],e=sre.EnrichMathml.walkTree(c),f=sre.EnrichMathml.walkTree(b),g=sre.EnrichMathml.walkTree(d);sre.EnrichMathml.setAttributes(this.mml,this.semantic);this.mml.setAttribute(sre.EnrichMathml.Attribute.CHILDREN,sre.EnrichMathml.makeIdList([b,d,c]));[f,g,e].forEach(goog.bind(function(a){sre.EnrichMathml.getInnerNode(a).setAttribute(sre.EnrichMathml.Attribute.PARENT,
this.mml.getAttribute(sre.EnrichMathml.Attribute.ID))},this));this.mml.setAttribute(sre.EnrichMathml.Attribute.TYPE,a.role);sre.EnrichMathml.addCollapsedAttribute(this.mml,[this.semantic.id,[a.id,b.id,d.id],c.id]);return this.mml};sre.CaseMultiindex=function(a){sre.AbstractEnrichCase.call(this,a);this.mml=a.mathmlTree};goog.inherits(sre.CaseMultiindex,sre.AbstractEnrichCase);
sre.CaseMultiindex.prototype.completeMultiscript=function(a,b){var c=sre.DomUtil.toArray(this.mml.childNodes).slice(1),d=0,e=goog.bind(function(a){for(var b=0,e;e=a[b];b++){var f=c[d];if(f&&e==sre.EnrichMathml.getInnerNode(f).getAttribute(sre.EnrichMathml.Attribute.ID))sre.EnrichMathml.getInnerNode(f).setAttribute(sre.EnrichMathml.Attribute.PARENT,this.semantic.id),d++;else{var l=this.semantic.querySelectorAll(function(a){return a.id===e});this.mml.insertBefore(sre.CaseMultiindex.createNone_(l[0]),
f||null)}}},this);e(a);c[d]&&"MPRESCRIPTS"!==sre.DomUtil.tagName(c[d])?this.mml.insertBefore(c[d],sre.DomUtil.createElement("mprescripts")):d++;e(b)};sre.CaseMultiindex.createNone_=function(a){var b=sre.DomUtil.createElement("none");a&&sre.EnrichMathml.setAttributes(b,a);b.setAttribute(sre.EnrichMathml.Attribute.ADDED,"true");return b};
sre.CaseMultiindex.multiscriptIndex=function(a){if(a.type===sre.SemanticAttr.Type.PUNCTUATED&&a.contentNodes[0].role===sre.SemanticAttr.Role.DUMMY)return sre.EnrichMathml.collapsePunctuated(a);sre.EnrichMathml.walkTree(a);return a.id};sre.CaseMultiscripts=function(a){sre.CaseMultiindex.call(this,a)};goog.inherits(sre.CaseMultiscripts,sre.CaseMultiindex);sre.CaseMultiscripts.test=function(a){return a.mathmlTree?"MMULTISCRIPTS"===sre.DomUtil.tagName(a.mathmlTree)&&(a.type===sre.SemanticAttr.Type.SUPERSCRIPT||a.type===sre.SemanticAttr.Type.SUBSCRIPT):!1};
sre.CaseMultiscripts.prototype.getMathml=function(){sre.EnrichMathml.setAttributes(this.mml,this.semantic);if(this.semantic.childNodes[0]&&this.semantic.childNodes[0].role===sre.SemanticAttr.Role.SUBSUP){var a=this.semantic.childNodes[0],b=a.childNodes[0],c=sre.CaseMultiindex.multiscriptIndex(this.semantic.childNodes[1]),d=sre.CaseMultiindex.multiscriptIndex(a.childNodes[1]),e=[this.semantic.id,[a.id,b.id,d],c];sre.EnrichMathml.addCollapsedAttribute(this.mml,e);this.mml.setAttribute(sre.EnrichMathml.Attribute.TYPE,
a.role);this.completeMultiscript(sre.SemanticSkeleton.interleaveIds(d,c),[])}else b=this.semantic.childNodes[0],c=sre.CaseMultiindex.multiscriptIndex(this.semantic.childNodes[1]),e=[this.semantic.id,b.id,c],sre.EnrichMathml.addCollapsedAttribute(this.mml,e);a=sre.SemanticSkeleton.collapsedLeafs(d||[],c);c=sre.EnrichMathml.walkTree(b);sre.EnrichMathml.getInnerNode(c).setAttribute(sre.EnrichMathml.Attribute.PARENT,this.semantic.id);a.unshift(b.id);this.mml.setAttribute(sre.EnrichMathml.Attribute.CHILDREN,
a.join(","));return this.mml};sre.CaseEmbellished=function(a){sre.AbstractEnrichCase.call(this,a);this.ofenceMml=this.ofence=this.fencedMml=this.fenced=null;this.ofenceMap={};this.cfenceMml=this.cfence=null;this.cfenceMap={};this.parentCleanup=[]};goog.inherits(sre.CaseEmbellished,sre.AbstractEnrichCase);sre.CaseEmbellished.test=function(a){return a.mathmlTree&&a.fencePointer};sre.CaseEmbellished.prototype.getMathml=function(){this.getFenced_();this.fencedMml=sre.EnrichMathml.walkTree(this.fenced);this.getFencesMml_();return this.rewrite_()};
sre.CaseEmbellished.prototype.getFenced_=function(){for(var a=this.semantic;a.type!==sre.SemanticAttr.Type.FENCED;)a=a.childNodes[0];this.fenced=a.childNodes[0];this.ofence=a.contentNodes[0];this.cfence=a.contentNodes[1];sre.CaseEmbellished.fencedMap_(this.ofence,this.ofenceMap);sre.CaseEmbellished.fencedMap_(this.cfence,this.cfenceMap)};sre.CaseEmbellished.fencedMap_=function(a,b){b[a.id]=a.mathmlTree;a.embellished&&sre.CaseEmbellished.fencedMap_(a.childNodes[0],b)};
sre.CaseEmbellished.prototype.getFencesMml_=function(){for(var a=this.semantic,b=Object.keys(this.ofenceMap),c=Object.keys(this.cfenceMap);!(this.ofenceMml&&this.cfenceMml||a===this.fenced);)-1===b.indexOf(a.fencePointer)||this.ofenceMml||(this.ofenceMml=a.mathmlTree),-1===c.indexOf(a.fencePointer)||this.cfenceMml||(this.cfenceMml=a.mathmlTree),a=a.childNodes[0];this.ofenceMml||(this.ofenceMml=this.ofence.mathmlTree);this.cfenceMml||(this.cfenceMml=this.cfence.mathmlTree);this.ofenceMml&&(this.ofenceMml=
sre.EnrichMathml.ascendNewNode(this.ofenceMml));this.cfenceMml&&(this.cfenceMml=sre.EnrichMathml.ascendNewNode(this.cfenceMml))};
sre.CaseEmbellished.prototype.rewrite_=function(){var a=this.semantic,b=null,c=this.introduceNewLayer_();for(sre.EnrichMathml.setAttributes(c,this.fenced.parent);a.type!==sre.SemanticAttr.Type.FENCED;){var d=a.mathmlTree,e=this.specialCase_(a,d);if(e)a=e;else{sre.EnrichMathml.setAttributes(d,a);e=[];for(var f=1,g;g=a.childNodes[f];f++)e.push(sre.EnrichMathml.walkTree(g));a=a.childNodes[0]}e=sre.DomUtil.createElement("dummy");f=c.parentNode;g=d.childNodes[0];sre.DomUtil.replaceNode(d,e);sre.DomUtil.replaceNode(c,
d);sre.DomUtil.replaceNode(d.childNodes[0],c);sre.DomUtil.replaceNode(e,g);d.parentNode=f;c=d.childNodes[0];b||(b=d)}sre.EnrichMathml.walkTree(this.ofence);sre.EnrichMathml.walkTree(this.cfence);this.cleanupParents_();return b||c};
sre.CaseEmbellished.prototype.specialCase_=function(a,b){var c=sre.DomUtil.tagName(b),d=null;if("MSUBSUP"===c){d=a.childNodes[0];var e=sre.CaseDoubleScript}else"MMULTISCRIPTS"===c&&(a.type===sre.SemanticAttr.Type.SUPERSCRIPT||a.type===sre.SemanticAttr.Type.SUBSCRIPT?e=sre.CaseMultiscripts:a.type===sre.SemanticAttr.Type.TENSOR&&(e=sre.CaseTensor),d=e&&a.childNodes[0]&&a.childNodes[0].role===sre.SemanticAttr.Role.SUBSUP?a.childNodes[0]:a);if(!d)return null;c=d.childNodes[0];b=sre.CaseEmbellished.makeEmptyNode_(c.id);
d.childNodes[0]=b;b=(new e(a)).getMathml();d.childNodes[0]=c;this.parentCleanup.push(b);return d.childNodes[0]};sre.CaseEmbellished.makeEmptyNode_=function(a){var b=sre.DomUtil.createElement("mrow");a=new sre.SemanticNode(a);a.type=sre.SemanticAttr.Type.EMPTY;a.mathmlTree=b;return a};
sre.CaseEmbellished.prototype.introduceNewLayer_=function(){var a=this.fullFence(this.ofenceMml),b=this.fullFence(this.cfenceMml),c=sre.DomUtil.createElement("mrow");sre.DomUtil.replaceNode(this.fencedMml,c);c.appendChild(this.fencedMml);c.insertBefore(a,this.fencedMml);c.appendChild(b);if(!c.parentNode){for(a=sre.DomUtil.createElement("mrow");0<c.childNodes.length;)a.appendChild(c.childNodes[0]);c.appendChild(a);c=a}return c};
sre.CaseEmbellished.prototype.fullFence=function(a){for(var b=this.fencedMml.parentNode;a.parentNode&&a.parentNode!==b;)a=a.parentNode;return a};sre.CaseEmbellished.prototype.cleanupParents_=function(){this.parentCleanup.forEach(function(a){var b=a.childNodes[1].getAttribute(sre.EnrichMathml.Attribute.PARENT);a.childNodes[0].setAttribute(sre.EnrichMathml.Attribute.PARENT,b)})};sre.CaseLine=function(a){sre.AbstractEnrichCase.call(this,a);this.mml=a.mathmlTree};goog.inherits(sre.CaseLine,sre.AbstractEnrichCase);sre.CaseLine.test=function(a){return a.mathmlTree&&a.type===sre.SemanticAttr.Type.LINE};
sre.CaseLine.prototype.getMathml=function(){this.semantic.contentNodes.length&&sre.EnrichMathml.walkTree(this.semantic.contentNodes[0]);this.semantic.childNodes.length&&sre.EnrichMathml.walkTree(this.semantic.childNodes[0]);sre.EnrichMathml.setAttributes(this.mml,this.semantic);return this.mml};sre.CaseTable=function(a){sre.AbstractEnrichCase.call(this,a);this.mml=a.mathmlTree;this.inner=[]};goog.inherits(sre.CaseTable,sre.AbstractEnrichCase);sre.CaseTable.test=function(a){return a.mathmlTree&&(a.type===sre.SemanticAttr.Type.MATRIX||a.type===sre.SemanticAttr.Type.VECTOR||a.type===sre.SemanticAttr.Type.CASES)};
sre.CaseTable.prototype.getMathml=function(){var a=sre.EnrichMathml.cloneContentNode(this.semantic.contentNodes[0]),b=this.semantic.contentNodes[1]?sre.EnrichMathml.cloneContentNode(this.semantic.contentNodes[1]):null;this.inner=this.semantic.childNodes.map(sre.EnrichMathml.walkTree);"MFENCED"===sre.DomUtil.tagName(this.mml)?(this.mml.insertBefore(a,this.mml.childNodes[0]||null),b&&this.mml.appendChild(b),this.mml=sre.EnrichMathml.rewriteMfenced(this.mml)):(a=[a,this.mml],b&&a.push(b),this.mml=sre.EnrichMathml.introduceNewLayer(a));
sre.EnrichMathml.setAttributes(this.mml,this.semantic);return this.mml};sre.CaseTensor=function(a){sre.CaseMultiindex.call(this,a)};goog.inherits(sre.CaseTensor,sre.CaseMultiindex);sre.CaseTensor.test=function(a){return a.mathmlTree&&a.type===sre.SemanticAttr.Type.TENSOR};
sre.CaseTensor.prototype.getMathml=function(){sre.EnrichMathml.walkTree(this.semantic.childNodes[0]);var a=sre.CaseMultiindex.multiscriptIndex(this.semantic.childNodes[1]),b=sre.CaseMultiindex.multiscriptIndex(this.semantic.childNodes[2]),c=sre.CaseMultiindex.multiscriptIndex(this.semantic.childNodes[3]),d=sre.CaseMultiindex.multiscriptIndex(this.semantic.childNodes[4]);sre.EnrichMathml.setAttributes(this.mml,this.semantic);sre.EnrichMathml.addCollapsedAttribute(this.mml,[this.semantic.id,this.semantic.childNodes[0].id,
a,b,c,d]);var e=sre.SemanticSkeleton.collapsedLeafs(a,b,c,d);e.unshift(this.semantic.childNodes[0].id);this.mml.setAttribute(sre.EnrichMathml.Attribute.CHILDREN,e.join(","));this.completeMultiscript(sre.SemanticSkeleton.interleaveIds(c,d),sre.SemanticSkeleton.interleaveIds(a,b));return this.mml};sre.CaseText=function(a){sre.AbstractEnrichCase.call(this,a);this.mml=a.mathmlTree};goog.inherits(sre.CaseText,sre.AbstractEnrichCase);sre.CaseText.test=function(a){return a.type===sre.SemanticAttr.Type.PUNCTUATED&&a.role===sre.SemanticAttr.Role.TEXT};
sre.CaseText.prototype.getMathml=function(){var a=[],b=sre.EnrichMathml.collapsePunctuated(this.semantic,a);this.mml=sre.EnrichMathml.introduceNewLayer(a);sre.EnrichMathml.setAttributes(this.mml,this.semantic);this.mml.removeAttribute(sre.EnrichMathml.Attribute.CONTENT);sre.EnrichMathml.addCollapsedAttribute(this.mml,b);return this.mml};sre.EnrichCases=function(){};sre.EnrichCaseFactory.cases.push({test:sre.CaseEmbellished.test,constr:sre.CaseEmbellished},{test:sre.CaseDoubleScript.test,constr:sre.CaseDoubleScript},{test:sre.CaseTensor.test,constr:sre.CaseTensor},{test:sre.CaseMultiscripts.test,constr:sre.CaseMultiscripts},{test:sre.CaseLine.test,constr:sre.CaseLine},{test:sre.CaseBinomial.test,constr:sre.CaseBinomial},{test:sre.CaseTable.test,constr:sre.CaseTable},{test:sre.CaseText.test,constr:sre.CaseText});sre.Enrich={};sre.Enrich.semanticMathmlNode=function(a){a=a.cloneNode(!0);var b=sre.Semantic.getTree(a);return sre.EnrichMathml.enrich(a,b)};sre.Enrich.semanticMathmlSync=function(a){a=sre.DomUtil.parseInput(a);return sre.Enrich.semanticMathmlNode(a)};sre.Enrich.semanticMathml=function(a,b){if(sre.Engine.isReady()){var c=sre.DomUtil.parseInput(a);b(sre.Enrich.semanticMathmlNode(c))}else setTimeout(function(){sre.Enrich.semanticMathml(a,b)},500)};
sre.Enrich.testTranslation__=function(a){new sre.EnrichCases;sre.Debugger.getInstance().init();a=sre.Enrich.semanticMathmlSync(sre.Enrich.prepareMmlString(a)).toString();sre.EnrichMathml.removeAttributePrefix(a);sre.Debugger.getInstance().exit();return a};sre.Enrich.prepareMmlString=function(a){a.match(/^<math/)||(a="<math>"+a);a.match(/\/math>$/)||(a+="</math>");return a};sre.ColorPicker=function(a,b){this.foreground=sre.ColorPicker.getChannelColor_(b,sre.ColorPicker.DEFAULT_FOREGROUND_);this.background=sre.ColorPicker.getChannelColor_(a,sre.ColorPicker.DEFAULT_BACKGROUND_)};sre.ColorPicker.DEFAULT_BACKGROUND_="blue";sre.ColorPicker.DEFAULT_FOREGROUND_="black";
sre.ColorPicker.namedColors_={red:{red:255,green:0,blue:0},green:{red:0,green:255,blue:0},blue:{red:0,green:0,blue:255},yellow:{red:255,green:255,blue:0},cyan:{red:0,green:255,blue:255},magenta:{red:255,green:0,blue:255},white:{red:255,green:255,blue:255},black:{red:0,green:0,blue:0}};sre.ColorPicker.getChannelColor_=function(a,b){a=a||{color:b};var c=a.color?sre.ColorPicker.namedColors_[a.color]:a;c||(c=sre.ColorPicker.namedColors_[b]);c.alpha=a.hasOwnProperty("alpha")?a.alpha:1;return sre.ColorPicker.normalizeColor_(c)};
sre.ColorPicker.normalizeColor_=function(a){var b=function(a){a=Math.max(a,0);a=Math.min(255,a);return Math.round(a)};a.red=b(a.red);a.green=b(a.green);a.blue=b(a.blue);a.alpha=Math.max(a.alpha,0);a.alpha=Math.min(1,a.alpha);return a};sre.ColorPicker.prototype.rgba=function(){var a=function(a){return"rgba("+a.red+","+a.green+","+a.blue+","+a.alpha+")"};return{background:a(this.background),foreground:a(this.foreground)}};
sre.ColorPicker.prototype.rgb=function(){var a=function(a){return"rgb("+a.red+","+a.green+","+a.blue+")"};return{background:a(this.background),alphaback:this.background.alpha.toString(),foreground:a(this.foreground),alphafore:this.foreground.alpha.toString()}};
sre.ColorPicker.prototype.hex=function(){var a=function(a){return"#"+sre.ColorPicker.toHex_(a.red)+sre.ColorPicker.toHex_(a.green)+sre.ColorPicker.toHex_(a.blue)};return{background:a(this.background),alphaback:this.background.alpha.toString(),foreground:a(this.foreground),alphafore:this.foreground.alpha.toString()}};sre.ColorPicker.toHex_=function(a){a=a.toString(16);return 1===a.length?"0"+a:a};sre.Highlighter=function(){};sre.Highlighter.prototype.highlight=function(a){};sre.Highlighter.prototype.unhighlight=function(){};sre.Highlighter.prototype.highlightAll=function(a){};sre.Highlighter.prototype.unhighlightAll=function(){};sre.Highlighter.prototype.setColor=function(a){};sre.Highlighter.prototype.addEvents=function(a,b){};sre.AbstractHighlighter=function(){this.currentHighlights_=[];this.color=null;this.mactionName="";this.state_={}};sre.AbstractHighlighter.prototype.highlight=function(a){this.currentHighlights_.push(a.map(goog.bind(function(a){return this.highlightNode(a)},this)))};sre.AbstractHighlighter.prototype.highlightNode=goog.abstractMethod;sre.AbstractHighlighter.prototype.highlightAll=function(a){a=this.getMactionNodes(a);for(var b=0,c;c=a[b];b++)this.highlight([c])};
sre.AbstractHighlighter.prototype.unhighlight=function(){var a=this.currentHighlights_.pop();a&&a.forEach(goog.bind(function(a){return this.unhighlightNode(a)},this))};sre.AbstractHighlighter.prototype.unhighlightNode=goog.abstractMethod;sre.AbstractHighlighter.prototype.unhighlightAll=function(){for(;0<this.currentHighlights_.length;)this.unhighlight()};sre.AbstractHighlighter.prototype.setColor=function(a){this.color=a};sre.AbstractHighlighter.prototype.colorString=function(){return this.color.rgba()};
sre.AbstractHighlighter.prototype.addEvents=function(a,b){a=this.getMactionNodes(a);for(var c=0,d;d=a[c];c++)for(var e in b)d.addEventListener(e,b[e])};sre.AbstractHighlighter.prototype.getMactionNodes=function(a){return a.getElementsByClassName(this.mactionName)};sre.AbstractHighlighter.prototype.isMactionNode=function(a){return(a=a.className||a.getAttribute("class"))?a.match(new RegExp(this.mactionName)):!1};sre.AbstractHighlighter.prototype.resetState=function(a){delete this.state_[a]};
sre.AbstractHighlighter.prototype.setState=function(a,b){this.state_[a]=b};sre.AbstractHighlighter.prototype.getState=function(a){return this.state_[a]};sre.CssHighlighter=function(){sre.AbstractHighlighter.call(this);this.mactionName="mjx-maction"};goog.inherits(sre.CssHighlighter,sre.AbstractHighlighter);sre.CssHighlighter.prototype.highlightNode=function(a){var b={node:a,background:a.style.backgroundColor,foreground:a.style.color},c=this.colorString();a.style.backgroundColor=c.background;a.style.color=c.foreground;return b};sre.CssHighlighter.prototype.unhighlightNode=function(a){a.node.style.backgroundColor=a.background;a.node.style.color=a.foreground};sre.HtmlHighlighter=function(){sre.AbstractHighlighter.call(this);this.mactionName="maction"};goog.inherits(sre.HtmlHighlighter,sre.AbstractHighlighter);sre.HtmlHighlighter.prototype.setMode=function(a){this.mode=a};
sre.HtmlHighlighter.prototype.highlightNode=function(a){var b={node:a,foreground:a.style.color,position:a.style.position},c=this.color.rgb();a.style.color=c.foreground;a.style.position="relative";var d=a.bbox;if(d&&d.w){var e=document.createElement("span"),f=parseFloat(a.style.paddingLeft||"0");e.style.backgroundColor=c.background;e.style.opacity=c.alphaback.toString();e.style.display="inline-block";e.style.height=d.h+d.d+.1+"em";e.style.verticalAlign=-d.d+"em";e.style.marginTop=e.style.marginBottom=
"-0.05em";e.style.width=d.w+0+"em";e.style.marginLeft=f-0+"em";e.style.marginRight=-d.w-f+"em";a.parentNode.insertBefore(e,a);b.box=e}return b};sre.HtmlHighlighter.prototype.unhighlightNode=function(a){var b=a.node;b.style.color=a.foreground;b.style.position=a.position;a.box&&a.box.parentNode.removeChild(a.box)};sre.MmlCssHighlighter=function(){sre.CssHighlighter.call(this);this.mactionName="maction"};goog.inherits(sre.MmlCssHighlighter,sre.CssHighlighter);sre.MmlCssHighlighter.prototype.getMactionNodes=function(a){return a.getElementsByTagName(this.mactionName)};sre.MmlCssHighlighter.prototype.isMactionNode=function(a){return a.tagName===this.mactionName};sre.MmlHighlighter=function(){sre.AbstractHighlighter.call(this);this.mactionName="maction"};goog.inherits(sre.MmlHighlighter,sre.AbstractHighlighter);sre.MmlHighlighter.prototype.highlightNode=function(a){var b=a.getAttribute("style");b+=";background-color: "+this.colorString().background;b+=";color: "+this.colorString().foreground;a.setAttribute("style",b);return{node:a}};
sre.MmlHighlighter.prototype.unhighlightNode=function(a){var b=a.node.getAttribute("style");b=b.replace(";background-color: "+this.colorString().background,"");b=b.replace(";color: "+this.colorString().foreground,"");a.node.setAttribute("style",b)};sre.MmlHighlighter.prototype.colorString=function(){return this.color.rgba()};sre.MmlHighlighter.prototype.getMactionNodes=function(a){return a.getElementsByTagName(this.mactionName)};
sre.MmlHighlighter.prototype.isMactionNode=function(a){return a.tagName===this.mactionName};sre.SvgHighlighter=function(){sre.AbstractHighlighter.call(this);this.mactionName="mjx-svg-maction"};goog.inherits(sre.SvgHighlighter,sre.AbstractHighlighter);
sre.SvgHighlighter.prototype.highlightNode=function(a){if("svg"===a.tagName){var b={node:a,background:a.style.backgroundColor,foreground:a.style.color};a.style.backgroundColor=this.colorString().background;a.style.color=this.colorString().foreground;return b}b=document.createElementNS("http://www.w3.org/2000/svg","rect");if("use"===a.nodeName){var c=document.createElementNS("http://www.w3.org/2000/svg","g");a.parentNode.insertBefore(c,a);c.appendChild(a);var d=c.getBBox();c.parentNode.replaceChild(a,
c)}else d=a.getBBox();b.setAttribute("x",d.x-40);b.setAttribute("y",d.y-40);b.setAttribute("width",d.width+80);b.setAttribute("height",d.height+80);(d=a.getAttribute("transform"))&&b.setAttribute("transform",d);b.setAttribute("fill",this.colorString().background);a.parentNode.insertBefore(b,a);b={node:b,foreground:a.getAttribute("fill")};a.setAttribute("fill",this.colorString().foreground);return b};
sre.SvgHighlighter.prototype.unhighlightNode=function(a){"background"in a?(a.node.style.backgroundColor=a.background,a.node.style.color=a.foreground):(a.foreground?a.node.nextSibling.setAttribute("fill",a.foreground):a.node.nextSibling.removeAttribute("fill"),a.node.parentNode.removeChild(a.node))};sre.SvgHighlighter.prototype.isMactionNode=function(a){a=a.className||a.getAttribute("class");return(a=a.baseVal?a.baseVal:a)?a.match(new RegExp(this.mactionName)):!1};sre.HighlighterFactory={};sre.HighlighterFactory.highlighter=function(a,b,c){a=new sre.ColorPicker(a,b);c=sre.HighlighterFactory.highlighterMapping_["NativeMML"===c.renderer&&"Safari"===c.browser?"MML-CSS":c.renderer];if(!c)return null;c.setColor(a);return c};sre.HighlighterFactory.addEvents=function(a,b,c){(c=sre.HighlighterFactory.highlighterMapping_[c.renderer])&&c.addEvents(a,b)};
sre.HighlighterFactory.highlighterMapping_={SVG:new sre.SvgHighlighter,NativeMML:new sre.MmlHighlighter,"HTML-CSS":new sre.HtmlHighlighter,"MML-CSS":new sre.MmlCssHighlighter,CommonHTML:new sre.CssHighlighter};sre.Grammar=function(){this.parameters_={};this.corrections_={};this.preprocessors_={};this.stateStack_=[]};goog.addSingletonGetter(sre.Grammar);sre.Grammar.ATTRIBUTE="grammar";sre.Grammar.prototype.clear=function(){this.parameters_={};this.stateStack_=[]};sre.Grammar.prototype.setParameter=function(a,b){var c=this.parameters_[a];b?this.parameters_[a]=b:delete this.parameters_[a];return c};sre.Grammar.prototype.getParameter=function(a){return this.parameters_[a]};
sre.Grammar.prototype.setCorrection=function(a,b){this.corrections_[a]=b};sre.Grammar.prototype.setPreprocessor=function(a,b){this.preprocessors_[a]=b};sre.Grammar.prototype.getCorrection=function(a){return this.corrections_[a]};sre.Grammar.prototype.getState=function(){var a=[],b;for(b in this.parameters_){var c=this.parameters_[b];a.push("string"===typeof c?b+":"+c:b)}return a.join(" ")};sre.Grammar.prototype.pushState=function(a){for(var b in a)a[b]=this.setParameter(b,a[b]);this.stateStack_.push(a)};
sre.Grammar.prototype.popState=function(){var a=this.stateStack_.pop(),b;for(b in a)this.setParameter(b,a[b])};sre.Grammar.prototype.setAttribute=function(a){if(a&&a.nodeType===sre.DomUtil.NodeType.ELEMENT_NODE){var b=this.getState();b&&a.setAttribute(sre.Grammar.ATTRIBUTE,b)}};sre.Grammar.prototype.preprocess=function(a){return this.runProcessors_(a,this.preprocessors_)};sre.Grammar.prototype.correct=function(a){return this.runProcessors_(a,this.corrections_)};
sre.Grammar.prototype.runProcessors_=function(a,b){for(var c in this.parameters_){var d=b[c];if(d){var e=this.parameters_[c];a=!0===e?d(a):d(a,e)}}return a};sre.Grammar.translateString_=function(a){var b=sre.Engine.getInstance();return b.evaluator(a,b.dynamicCstr)||a};
sre.Grammar.prototype.apply=function(a,b){b=b||{};a=b.adjust||b.preprocess?sre.Grammar.getInstance().preprocess(a):a;if(this.parameters_.translate||b.translate)a=sre.Grammar.translateString_(a);return a=b.adjust||b.correct?sre.Grammar.getInstance().correct(a):a};sre.Grammar.parseState=function(a){var b={};a=a.split(" ");for(var c=0,d=a.length;c<d;c++){var e=a[c].split(":"),f=e[1];b[e[0]]=f?f:!0}return b};
sre.Grammar.parseInput=function(a){var b={};a=a.split(":");for(var c=0,d=a.length;c<d;c++){var e=a[c].split("="),f=e[0].trim();e[1]?b[f]=e[1].trim():f.match(/^!/)?b[f.slice(1)]=!1:b[f]=!0}return b};sre.Grammar.correctFont_=function(a,b){if(!b||!a)return a;b=sre.L10n.getLocale().FONT[b]||b;b=b.split(/ |-/);b=new RegExp("^"+b.join("( |-)")+"( |-)");return a.replace(b,"")};sre.Grammar.addAnnotation_=function(a,b){return a+":"+b};sre.Grammar.getInstance().setCorrection("ignoreFont",sre.Grammar.correctFont_);
sre.Grammar.getInstance().setPreprocessor("annotation",sre.Grammar.addAnnotation_);sre.Messages={};sre.Messages.MS={START:"",FRAC_V:"",FRAC_B:"",FRAC_S:"",END:"",FRAC_OVER:"",TWICE:"",NEST_FRAC:"",ENDFRAC:"",SUPER:"",SUB:"",SUP:"",SUPERSCRIPT:"",SUBSCRIPT:"",BASELINE:"",BASE:"",NESTED:"",NEST_ROOT:"",STARTROOT:"",ENDROOT:"",ROOTINDEX:"",ROOT:"",INDEX:"",UNDER:"",UNDERSCRIPT:"",OVER:"",OVERSCRIPT:""};sre.Messages.MS_FUNC={FRAC_NEST_DEPTH:function(a){return!1},RADICAL_NEST_DEPTH:function(a){return""},COMBINE_ROOT_INDEX:function(a,b){return a}};sre.Messages.MS_ROOT_INDEX={};
sre.Messages.FONT={bold:"","bold-fraktur":"","bold-italic":"","bold-script":"",caligraphic:"","caligraphic-bold":"","double-struck":"","double-struck-italic":"",fraktur:"",italic:"",monospace:"",normal:"",oldstyle:"","oldstyle-bold":"",script:"","sans-serif":"","sans-serif-italic":"","sans-serif-bold":"","sans-serif-bold-italic":"",unknown:""};
sre.Messages.ROLE={addition:"",multiplication:"",subtraction:"",division:"",equality:"",inequality:"",element:"",arrow:"",determinant:"",rowvector:"",binomial:"",squarematrix:"",multiline:"",matrix:"",vector:"",cases:"",table:"",unknown:""};sre.Messages.ENCLOSE={longdiv:"",actuarial:"",radical:"",box:"",roundedbox:"",circle:"",left:"",right:"",top:"",bottom:"",updiagonalstrike:"",downdiagonalstrike:"",verticalstrike:"",horizontalstrike:"",madruwb:"",updiagonalarrow:"",phasorangle:"",unknown:""};
sre.Messages.NAVIGATE={COLLAPSIBLE:"",EXPANDABLE:"",LEVEL:""};sre.MathspeakUtil={};sre.MathspeakUtil.spaceoutText=function(a){return a.textContent.split("").join(" ")};sre.MathspeakUtil.spaceoutNumber=function(a){a=a.textContent.split("");for(var b=[],c=new sre.SystemExternal.xmldom.DOMParser,d=0,e;e=a[d];d++){var f=sre.Semantic.Type.NUMBER,g=e.match(/\W/)?sre.Semantic.Role.UNKNOWN:sre.Semantic.Role.PROTECTED;e=c.parseFromString("<"+f+' role="'+g+'">'+e+"</"+f+">","text/xml");b.push(e.documentElement)}return b};
sre.MathspeakUtil.spaceoutIdentifier=function(a){var b=a.textContent;if(!b.match(/[a-zA-Z]+/))return a.setAttribute("role",sre.SemanticAttr.Role.PROTECTED),[a];a=b.split("");b=[];for(var c=new sre.SystemExternal.xmldom.DOMParser,d=0,e;e=a[d];d++){var f=sre.Semantic.Type.IDENTIFIER;e=c.parseFromString("<"+f+' role="'+sre.Semantic.Role.UNKNOWN+'">'+e+"</"+f+">","text/xml");b.push(e.documentElement)}return b};
sre.MathspeakUtil.nestingBarriers=[sre.Semantic.Type.CASES,sre.Semantic.Type.CELL,sre.Semantic.Type.INTEGRAL,sre.Semantic.Type.LINE,sre.Semantic.Type.MATRIX,sre.Semantic.Type.MULTILINE,sre.Semantic.Type.OVERSCORE,sre.Semantic.Type.ROOT,sre.Semantic.Type.ROW,sre.Semantic.Type.SQRT,sre.Semantic.Type.SUBSCRIPT,sre.Semantic.Type.SUPERSCRIPT,sre.Semantic.Type.TABLE,sre.Semantic.Type.UNDERSCORE,sre.Semantic.Type.VECTOR];sre.MathspeakUtil.nestingDepth={};
sre.MathspeakUtil.resetNestingDepth=function(a){sre.MathspeakUtil.nestingDepth={};return[a]};
sre.MathspeakUtil.getNestingDepth=function(a,b,c,d,e,f){d=d||sre.MathspeakUtil.nestingBarriers;e=e||{};f=f||function(a){return!1};var g=(new sre.SystemExternal.xmldom.XMLSerializer).serializeToString(b);sre.MathspeakUtil.nestingDepth[a]||(sre.MathspeakUtil.nestingDepth[a]={});if(sre.MathspeakUtil.nestingDepth[a][g])return sre.MathspeakUtil.nestingDepth[a][g];if(f(b)||0>c.indexOf(b.tagName))return 0;b=sre.MathspeakUtil.computeNestingDepth_(b,c,sre.BaseUtil.setdifference(d,c),e,f,0);return sre.MathspeakUtil.nestingDepth[a][g]=
b};sre.MathspeakUtil.containsAttr=function(a,b){if(!a.attributes)return!1;a=sre.DomUtil.toArray(a.attributes);for(var c=0,d;d=a[c];c++)if(b[d.nodeName]===d.nodeValue)return!0;return!1};
sre.MathspeakUtil.computeNestingDepth_=function(a,b,c,d,e,f){if(e(a)||-1<c.indexOf(a.tagName)||sre.MathspeakUtil.containsAttr(a,d))return f;-1<b.indexOf(a.tagName)&&f++;if(!a.childNodes||0===a.childNodes.length)return f;a=sre.DomUtil.toArray(a.childNodes);return Math.max.apply(null,a.map(function(a){return sre.MathspeakUtil.computeNestingDepth_(a,b,c,d,e,f)}))};
sre.MathspeakUtil.fractionNestingDepth=function(a){return sre.MathspeakUtil.getNestingDepth("fraction",a,["fraction"],sre.MathspeakUtil.nestingBarriers,{},sre.Messages.MS_FUNC.FRAC_NEST_DEPTH)};sre.MathspeakUtil.openingFractionVerbose=function(a){a=sre.MathspeakUtil.fractionNestingDepth(a);return Array(a+1).join(sre.Messages.MS.START)+sre.Messages.MS.FRAC_V};
sre.MathspeakUtil.closingFractionVerbose=function(a){a=sre.MathspeakUtil.fractionNestingDepth(a);return Array(a+1).join(sre.Messages.MS.END)+sre.Messages.MS.FRAC_V};sre.MathspeakUtil.overFractionVerbose=function(a){a=sre.MathspeakUtil.fractionNestingDepth(a);return Array(a+1).join(sre.Messages.MS.FRAC_OVER).trim()};sre.MathspeakUtil.openingFractionBrief=function(a){a=sre.MathspeakUtil.fractionNestingDepth(a);return Array(a+1).join(sre.Messages.MS.START)+sre.Messages.MS.FRAC_B};
sre.MathspeakUtil.closingFractionBrief=function(a){a=sre.MathspeakUtil.fractionNestingDepth(a);return Array(a+1).join(sre.Messages.MS.END)+sre.Messages.MS.FRAC_B};sre.MathspeakUtil.openingFractionSbrief=function(a){a=sre.MathspeakUtil.fractionNestingDepth(a);return 1===a?sre.Messages.MS.FRAC_S:sre.Messages.MS.NEST_FRAC+sre.Messages.MS_FUNC.RADICAL_NEST_DEPTH(a-1)+sre.Messages.MS.FRAC_S};
sre.MathspeakUtil.closingFractionSbrief=function(a){a=sre.MathspeakUtil.fractionNestingDepth(a);return 1===a?sre.Messages.MS.ENDFRAC:sre.Messages.MS.NEST_FRAC+sre.Messages.MS_FUNC.RADICAL_NEST_DEPTH(a-1)+sre.Messages.MS.ENDFRAC};sre.MathspeakUtil.overFractionSbrief=function(a){a=sre.MathspeakUtil.fractionNestingDepth(a);return 1===a?sre.Messages.MS.FRAC_OVER:sre.Messages.MS.NEST_FRAC+sre.Messages.MS_FUNC.RADICAL_NEST_DEPTH(a-1)+sre.Messages.MS.OVER};sre.MathspeakUtil.onesNumbers=" one two three four five six seven eight nine ten eleven twelve thirteen fourteen fifteen sixteen seventeen eighteen nineteen".split(" ");
sre.MathspeakUtil.tensNumbers=" twenty thirty forty fifty sixty seventy eighty ninety".split(" ");sre.MathspeakUtil.largeNumbers=" thousand million billion trillion quadrillion quintillion sextillion septillion octillion nonillion decillion".split(" ");
sre.MathspeakUtil.hundredsToWords=function(a){a%=1E3;var b=sre.MathspeakUtil.onesNumbers[Math.floor(a/100)]?sre.MathspeakUtil.onesNumbers[Math.floor(a/100)]+"-hundred":"";(a%=100)&&(b=b+(b?"-":"")+(sre.MathspeakUtil.onesNumbers[a]||sre.MathspeakUtil.tensNumbers[Math.floor(a/10)]+"-"+sre.MathspeakUtil.onesNumbers[a%10]));return b};
sre.MathspeakUtil.numberToWords=function(a){if(a>=Math.pow(10,36))return a.toString();for(var b=0,c="";0<a;)a%1E3&&(c=sre.MathspeakUtil.hundredsToWords(a%1E3)+(b?"-"+sre.MathspeakUtil.largeNumbers[b]+"-":"")+c),a=Math.floor(a/1E3),b++;return c};
sre.MathspeakUtil.numberToOrdinal=function(a,b){if(2===a)return b?"halves":"half";a=sre.MathspeakUtil.numberToWords(a);a=a.match(/one$/)?a.slice(0,-3)+"first":a.match(/two$/)?a.slice(0,-3)+"second":a.match(/three$/)?a.slice(0,-5)+"third":a.match(/five$/)?a.slice(0,-4)+"fifth":a.match(/eight$/)?a.slice(0,-5)+"eighth":a.match(/nine$/)?a.slice(0,-4)+"ninth":a.match(/twelve$/)?a.slice(0,-6)+"twelfth":a.match(/ty$/)?a.slice(0,-2)+"tieth":a+"th";return b?a+"s":a};
sre.MathspeakUtil.simpleOrdinal=function(a){var b=a%100,c=a.toString();if(10<b&&20>b)return c+"th";switch(a%10){case 1:return c+"st";case 2:return c+"nd";case 3:return c+"rd";default:return c+"th"}};sre.MathspeakUtil.ordinalCounter=function(a,b){var c=0;return function(){return sre.MathspeakUtil.simpleOrdinal(++c)+" "+b}};
sre.MathspeakUtil.convertVulgarFraction_=function(a){if(!a.childNodes||!a.childNodes[0]||!a.childNodes[0].childNodes||2>a.childNodes[0].childNodes.length||a.childNodes[0].childNodes[0].tagName!==sre.SemanticAttr.Type.NUMBER||a.childNodes[0].childNodes[0].getAttribute("role")!==sre.SemanticAttr.Role.INTEGER||a.childNodes[0].childNodes[1].tagName!==sre.SemanticAttr.Type.NUMBER||a.childNodes[0].childNodes[1].getAttribute("role")!==sre.SemanticAttr.Role.INTEGER)return{convertible:!1,content:a.textContent};
var b=a.childNodes[0].childNodes[1].textContent;a=a.childNodes[0].childNodes[0].textContent;var c=Number(b),d=Number(a);return isNaN(c)||isNaN(d)?{convertible:!1,content:a+" "+sre.Messages.MS.FRAC_OVER+" "+b}:{convertible:!0,enumerator:d,denominator:c}};
sre.MathspeakUtil.vulgarFraction=function(a){a=sre.MathspeakUtil.convertVulgarFraction_(a);return a.convertible&&a.enumerator&&a.denominator?sre.MathspeakUtil.numberToWords(a.enumerator)+"-"+sre.MathspeakUtil.numberToOrdinal(a.denominator,1!==a.enumerator):a.content||""};sre.MathspeakUtil.vulgarFractionSmall=function(a){var b=sre.MathspeakUtil.convertVulgarFraction_(a);return b.convertible?(a=b.enumerator,b=b.denominator,0<a&&10>a&&0<b&&100>b):!1};
sre.MathspeakUtil.isSmallVulgarFraction=function(a){return sre.MathspeakUtil.vulgarFractionSmall(a)?[a]:[]};
sre.MathspeakUtil.nestedSubSuper=function(a,b,c){for(;a.parentNode;){var d=a.parentNode,e=d.parentNode,f=a.getAttribute&&a.getAttribute("role");if(e.tagName===sre.Semantic.Type.SUBSCRIPT&&a===d.childNodes[1]||e.tagName===sre.Semantic.Type.TENSOR&&f&&(f===sre.Semantic.Role.LEFTSUB||f===sre.Semantic.Role.RIGHTSUB))b=c.sub+" "+b;if(e.tagName===sre.Semantic.Type.SUPERSCRIPT&&a===d.childNodes[1]||e.tagName===sre.Semantic.Type.TENSOR&&f&&(f===sre.Semantic.Role.LEFTSUPER||f===sre.Semantic.Role.RIGHTSUPER))b=
c.sup+" "+b;a=e}return b.trim()};sre.MathspeakUtil.subscriptVerbose=function(a){return sre.MathspeakUtil.nestedSubSuper(a,sre.Messages.MS.SUBSCRIPT,{sup:sre.Messages.MS.SUPER,sub:sre.Messages.MS.SUB})};sre.MathspeakUtil.subscriptBrief=function(a){return sre.MathspeakUtil.nestedSubSuper(a,sre.Messages.MS.SUB,{sup:sre.Messages.MS.SUP,sub:sre.Messages.MS.SUB})};
sre.MathspeakUtil.superscriptVerbose=function(a){return sre.MathspeakUtil.nestedSubSuper(a,sre.Messages.MS.SUPERSCRIPT,{sup:sre.Messages.MS.SUPER,sub:sre.Messages.MS.SUB})};sre.MathspeakUtil.superscriptBrief=function(a){return sre.MathspeakUtil.nestedSubSuper(a,sre.Messages.MS.SUP,{sup:sre.Messages.MS.SUP,sub:sre.Messages.MS.SUB})};
sre.MathspeakUtil.baselineVerbose=function(a){return(a=sre.MathspeakUtil.nestedSubSuper(a,"",{sup:sre.Messages.MS.SUPER,sub:sre.Messages.MS.SUB}))?a.replace(new RegExp(sre.Messages.MS.SUB+"$"),sre.Messages.MS.SUBSCRIPT).replace(new RegExp(sre.Messages.MS.SUPER+"$"),sre.Messages.MS.SUPERSCRIPT):sre.Messages.MS.BASELINE};sre.MathspeakUtil.baselineBrief=function(a){return sre.MathspeakUtil.nestedSubSuper(a,"",{sup:sre.Messages.MS.SUP,sub:sre.Messages.MS.SUB})||sre.Messages.MS.BASE};
sre.MathspeakUtil.radicalNestingDepth=function(a){return sre.MathspeakUtil.getNestingDepth("radical",a,["sqrt","root"],sre.MathspeakUtil.nestingBarriers,{})};sre.MathspeakUtil.nestedRadical=function(a,b,c){var d=sre.MathspeakUtil.radicalNestingDepth(a);c=(a=sre.MathspeakUtil.getRootIndex(a))?sre.Messages.MS_FUNC.COMBINE_ROOT_INDEX(c,a):c;return 1===d?c:b+sre.Messages.MS_FUNC.RADICAL_NEST_DEPTH(d-1)+c};
sre.MathspeakUtil.getRootIndex=function(a){a="sqrt"===a.tagName?"2":sre.XpathUtil.evalXPath("children/*[1]",a)[0].textContent.trim();return sre.Messages.MS_ROOT_INDEX[a]||""};sre.MathspeakUtil.openingRadicalVerbose=function(a){return sre.MathspeakUtil.nestedRadical(a,sre.Messages.MS.NESTED,sre.Messages.MS.STARTROOT)};sre.MathspeakUtil.closingRadicalVerbose=function(a){return sre.MathspeakUtil.nestedRadical(a,sre.Messages.MS.NESTED,sre.Messages.MS.ENDROOT)};
sre.MathspeakUtil.indexRadicalVerbose=function(a){return sre.MathspeakUtil.nestedRadical(a,sre.Messages.MS.NESTED,sre.Messages.MS.ROOTINDEX)};sre.MathspeakUtil.openingRadicalBrief=function(a){return sre.MathspeakUtil.nestedRadical(a,sre.Messages.MS.NEST_ROOT,sre.Messages.MS.STARTROOT)};sre.MathspeakUtil.closingRadicalBrief=function(a){return sre.MathspeakUtil.nestedRadical(a,sre.Messages.MS.NEST_ROOT,sre.Messages.MS.ENDROOT)};
sre.MathspeakUtil.indexRadicalBrief=function(a){return sre.MathspeakUtil.nestedRadical(a,sre.Messages.MS.NEST_ROOT,sre.Messages.MS.ROOTINDEX)};sre.MathspeakUtil.openingRadicalSbrief=function(a){return sre.MathspeakUtil.nestedRadical(a,sre.Messages.MS.NEST_ROOT,sre.Messages.MS.ROOT)};sre.MathspeakUtil.indexRadicalSbrief=function(a){return sre.MathspeakUtil.nestedRadical(a,sre.Messages.MS.NEST_ROOT,sre.Messages.MS.INDEX)};
sre.MathspeakUtil.underscoreNestingDepth=function(a){return sre.MathspeakUtil.getNestingDepth("underscore",a,["underscore"],sre.MathspeakUtil.nestingBarriers,{},function(a){return a.tagName&&a.tagName===sre.Semantic.Type.UNDERSCORE&&a.childNodes[0].childNodes[1].getAttribute("role")===sre.Semantic.Role.UNDERACCENT})};sre.MathspeakUtil.nestedUnderscore=function(a){a=sre.MathspeakUtil.underscoreNestingDepth(a);return Array(a).join(sre.Messages.MS.UNDER)+sre.Messages.MS.UNDERSCRIPT};
sre.MathspeakUtil.overscoreNestingDepth=function(a){return sre.MathspeakUtil.getNestingDepth("overscore",a,["overscore"],sre.MathspeakUtil.nestingBarriers,{},function(a){return a.tagName&&a.tagName===sre.Semantic.Type.OVERSCORE&&a.childNodes[0].childNodes[1].getAttribute("role")===sre.Semantic.Role.OVERACCENT})};sre.MathspeakUtil.nestedOverscore=function(a){a=sre.MathspeakUtil.overscoreNestingDepth(a);return Array(a).join(sre.Messages.MS.OVER)+sre.Messages.MS.OVERSCRIPT};
sre.MathspeakUtil.determinantIsSimple=function(a){if(a.tagName!==sre.Semantic.Type.MATRIX||a.getAttribute("role")!==sre.Semantic.Role.DETERMINANT)return[];for(var b=sre.XpathUtil.evalXPath("children/row/children/cell/children/*",a),c=0,d;d=b[c];c++)if(d.tagName!==sre.Semantic.Type.NUMBER){if(d.tagName===sre.Semantic.Type.IDENTIFIER&&(d=d.getAttribute("role"),d===sre.Semantic.Role.LATINLETTER||d===sre.Semantic.Role.GREEKLETTER||d===sre.Semantic.Role.OTHERLETTER))continue;return[]}return[a]};
sre.MathspeakUtil.generateBaselineConstraint=function(){var a=function(a){return a.map(function(a){return"ancestor::"+a})},b="not("+a(["subscript","superscript","tensor"]).join(" or ")+")",c=a(["relseq","multrel"]);a=a(["fraction","punctuation","fenced","sqrt","root"]);for(var d=[],e=0,f;f=a[e];e++)d=d.concat(c.map(function(a){return f+"/"+a}));c="not("+d.join(" | ")+")";return["ancestor::*/following-sibling::*",b,c].join(" and ")};
sre.MathspeakUtil.removeParens=function(a){if(!a.childNodes.length||!a.childNodes[0].childNodes.length||!a.childNodes[0].childNodes[0].childNodes.length)return"";a=a.childNodes[0].childNodes[0].childNodes[0].textContent;return a.match(/^\(.+\)$/)?a.slice(1,-1):a};sre.Locale={};sre.Locale.nestingToString=function(a){switch(a){case 1:return"";case 2:return sre.Messages.MS.TWICE;default:return a.toString()}};sre.Locale.vulgarNestingDepth=function(a){return sre.MathspeakUtil.vulgarFractionSmall(a)};sre.Locale.combinePostfixIndex=function(a,b){return a===sre.Messages.MS.ROOTINDEX||a===sre.Messages.MS.INDEX?a:a+" "+b};sre.Locale.localFont=function(a){return sre.Messages.FONT[a]||a};sre.Grammar.getInstance().setCorrection("localFont",sre.Locale.localFont);
sre.Locale.localRole=function(a){return sre.Messages.ROLE[a]||a};sre.Grammar.getInstance().setCorrection("localRole",sre.Locale.localRole);sre.Locale.localEnclose=function(a){return sre.Messages.ENCLOSE[a]||a};sre.Grammar.getInstance().setCorrection("localEnclose",sre.Locale.localEnclose);sre.Locale.en={MS:{START:"Start",FRAC_V:"Fraction",FRAC_B:"Frac",FRAC_S:"Frac",END:"End",FRAC_OVER:"Over",TWICE:"Twice",NEST_FRAC:"Nest",ENDFRAC:"EndFrac",SUPER:"Super",SUB:"Sub",SUP:"Sup",SUPERSCRIPT:"Superscript",SUBSCRIPT:"Subscript",BASELINE:"Baseline",BASE:"Base",NESTED:"Nested",NEST_ROOT:"Nest",STARTROOT:"StartRoot",ENDROOT:"EndRoot",ROOTINDEX:"RootIndex",ROOT:"Root",INDEX:"Index",UNDER:"Under",UNDERSCRIPT:"Underscript",OVER:"Over",OVERSCRIPT:"Overscript"},MS_FUNC:{FRAC_NEST_DEPTH:sre.Locale.vulgarNestingDepth,
RADICAL_NEST_DEPTH:sre.Locale.nestingToString,COMBINE_ROOT_INDEX:function(a,b){return a}},MS_ROOT_INDEX:{},FONT:{},ROLE:{addition:"addition",multiplication:"multiplication",subtraction:"subtraction",division:"division",equality:"equality",inequality:"inequality",element:"element",arrow:"arrow",determinant:"determinant",rowvector:"row vector",binomial:"binomial",squarematrix:"square matrix",multiline:"multiple lines",matrix:"matrix",vector:"vector",cases:"case statement",table:"table",unknown:"unknown"},
ENCLOSE:{longdiv:"long division",actuarial:"actuarial symbol",radical:"square root",box:"box",roundedbox:"rounded box",circle:"circle",left:"left vertical-line",right:"right vertical-line",top:"overbar",bottom:"underbar",updiagonalstrike:"crossout",downdiagonalstrike:"crossout",verticalstrike:"vertical strikeout",horizontalstrike:"crossout",madruwb:"Arabic factorial symbol",updiagonalarrow:"diagonal arrow",phasorangle:"phasor angle",unknown:"long division"},NAVIGATE:{COLLAPSIBLE:"collapsible",EXPANDABLE:"expandable",
LEVEL:"Level"}};sre.Locale.es={MS:{START:"empezar ",FRAC_V:"fracci\u00f3n",FRAC_B:"frac",FRAC_S:"frac",END:"finalizar ",FRAC_OVER:"entre ",TWICE:"",NEST_FRAC:"",ENDFRAC:"",SUPER:"super",SUB:"sub",SUP:"sup",SUPERSCRIPT:"super\u00edndice",SUBSCRIPT:"sub\u00edndice",BASELINE:"l\u00ednea base",BASE:"",NESTED:"",NEST_ROOT:"",STARTROOT:"empezar ra\u00edz",ENDROOT:"finalizar ra\u00edz",ROOTINDEX:"\u00edndice de ra\u00edz",ROOT:"ra\u00edz",INDEX:"",UNDER:"bajo",UNDERSCRIPT:"bajo\u00edndice",OVER:"sobre",OVERSCRIPT:"sobre\u00edndice"},
MS_FUNC:{FRAC_NEST_DEPTH:function(a){return!1},RADICAL_NEST_DEPTH:function(a){return""},COMBINE_ROOT_INDEX:sre.Locale.combinePostfixIndex},MS_ROOT_INDEX:{2:"cuadrada",3:"c\u00fabica",4:"a la cuarta",5:"a la quinta",6:"a la sexta",7:"a la s\u00e9ptima",8:"a la octava",9:"a la novena",10:"a la d\u00e9cima"},FONT:{bold:"negrita","bold-fraktur":"negrita Fraktur","bold-italic":"negrita cursiva","bold-script":"negrita script",caligraphic:"caligr\u00e1fica","caligraphic-bold":"caligr\u00e1fica negrita",
"double-struck":"negrita de pizarra","double-struck-italic":"negrita de pizarra cursiva",fraktur:"Fraktur",italic:"cursiva",monospace:"monoespacio",normal:"normal",oldstyle:"estilo antiguo","oldstyle-bold":"estilo antiguo negrita",script:"script","sans-serif":"sans-serif","sans-serif-italic":"sans-serif cursiva","sans-serif-bold":"sans-serif negrita","sans-serif-bold-italic":"sans-serif negrita cursiva",unknown:"desconocida"},ROLE:{addition:"adici\u00f3n",multiplication:"multiplicaci\u00f3n",subtraction:"resta",
division:"divisi\u00f3n",equality:"igualdad",inequality:"desigualdad",element:"elemento",arrow:"flecha",determinant:"determinante",rowvector:"fila vector",binomial:"binomial",squarematrix:"matriz cuadrada",multiline:"l\u00edneas m\u00faltiples",matrix:"matriz",vector:"vector",cases:"declaraci\u00f3n de caso",table:"mesa",unknown:"desconocida"},ENCLOSE:{longdiv:"divisi\u00f3n larga",actuarial:"s\u00edmbolo actuarial",radical:"ra\u00edz cuadrada",box:"caja",roundedbox:"caja redondeada",circle:"c\u00edrculo",
left:"barra vertical izquierda",right:"barra vertical derecha",top:"barra",bottom:"subbarra",updiagonalstrike:"tachadura",downdiagonalstrike:"tachadura",verticalstrike:"ponchado vertical",horizontalstrike:"cruce",madruwb:"s\u00edmbolo factorial \u00e1rabe",updiagonalarrow:"flecha diagonal",phasorangle:"\u00e1ngulo de fasores",unknown:"divisi\u00f3n larga"},NAVIGATE:{COLLAPSIBLE:"plegable",EXPANDABLE:"ampliable",LEVEL:"nivel"}};sre.L10n={};sre.L10n.setLocale=function(){var a=sre.L10n.getLocale();if(a)for(var b in a)sre.Messages[b]=a[b]};sre.L10n.getLocale=function(){return sre.Locale[sre.Engine.getInstance().locale]||sre.Locale.en};sre.AuditoryDescription=function(a){this.context=a.context||"";this.text=a.text||"";this.userValue=a.userValue||"";this.annotation=a.annotation||"";this.personality=a.personality||{}};sre.AuditoryDescription.create=function(a,b){a.text=sre.Grammar.getInstance().apply(a.text,b||{});return new sre.AuditoryDescription(a)};sre.AuditoryDescription.prototype.isEmpty=function(){return 0==this.context.length&&0==this.text.length&&0==this.userValue.length&&0==this.annotation.length};
sre.AuditoryDescription.prototype.clone=function(){if(this.personality){var a={};for(var b in this.personality)a=this.personality[b]}return new sre.AuditoryDescription({context:this.context,text:this.text,userValue:this.userValue,annotation:this.annotation,personality:a})};sre.AuditoryDescription.prototype.toString=function(){return'AuditoryDescription(context="'+this.context+'" text="'+this.text+'" userValue="'+this.userValue+'" annotation="'+this.annotation+'")'};
sre.AuditoryDescription.prototype.descriptionString=function(){return this.context&&this.text?this.context+" "+this.text:this.context||this.text};sre.AuditoryDescription.prototype.equals=function(a){return this.context==a.context&&this.text==a.text&&this.userValue==a.userValue&&this.annotation==a.annotation};sre.SpeechRule=function(a,b,c,d){this.name=a;this.dynamicCstr=b;this.precondition=c;this.action=d};sre.SpeechRule.prototype.toString=function(){return this.name+" | "+this.dynamicCstr.toString()+" | "+this.precondition.toString()+" ==> "+this.action.toString()};sre.SpeechRule.Type={NODE:"NODE",MULTI:"MULTI",TEXT:"TEXT",PERSONALITY:"PERSONALITY"};
sre.SpeechRule.Type.fromString=function(a){switch(a){case "[n]":return sre.SpeechRule.Type.NODE;case "[m]":return sre.SpeechRule.Type.MULTI;case "[t]":return sre.SpeechRule.Type.TEXT;case "[p]":return sre.SpeechRule.Type.PERSONALITY;default:throw"Parse error: "+a;}};
sre.SpeechRule.Type.toString=function(a){switch(a){case sre.SpeechRule.Type.NODE:return"[n]";case sre.SpeechRule.Type.MULTI:return"[m]";case sre.SpeechRule.Type.TEXT:return"[t]";case sre.SpeechRule.Type.PERSONALITY:return"[p]";default:throw"Unknown type error: "+a;}};sre.SpeechRule.Component=function(a){this.type=a.type;this.content=a.content;this.attributes=a.attributes;this.grammar=a.grammar};
sre.SpeechRule.Component.fromString=function(a){var b={};b.type=sre.SpeechRule.Type.fromString(a.substring(0,3));a=a.slice(3).trim();if(!a)throw new sre.SpeechRule.OutputError("Missing content.");switch(b.type){case sre.SpeechRule.Type.TEXT:if('"'==a[0]){var c=sre.SpeechRule.splitString_(a,"\\(")[0].trim();if('"'!=c.slice(-1))throw new sre.SpeechRule.OutputError("Invalid string syntax.");b.content=c;a=a.slice(c.length).trim();-1==a.indexOf("(")&&(a="");break}case sre.SpeechRule.Type.NODE:case sre.SpeechRule.Type.MULTI:c=
a.indexOf(" ("),-1==c?(b.content=a.trim(),a=""):(b.content=a.substring(0,c).trim(),a=a.slice(c).trim())}a&&(a=sre.SpeechRule.Component.attributesFromString(a),a.grammar&&(b.grammar=a.grammar,delete a.grammar),Object.keys(a).length&&(b.attributes=a));return b=new sre.SpeechRule.Component(b)};sre.SpeechRule.Component.prototype.toString=function(){var a=""+sre.SpeechRule.Type.toString(this.type);a+=this.content?" "+this.content:"";var b=this.attributesToString();return a+(b?" "+b:"")};
sre.SpeechRule.Component.grammarFromString=function(a){return sre.Grammar.parseInput(a)};sre.SpeechRule.Component.prototype.grammarToString=function(){return this.getGrammar().join(":")};sre.SpeechRule.Component.prototype.getGrammar=function(){var a=[],b;for(b in this.grammar)!0===this.grammar[b]?a.push(b):!1===this.grammar[b]?a.push("!"+b):a.push(b+"="+this.grammar[b]);return a};
sre.SpeechRule.Component.attributesFromString=function(a){if("("!=a[0]||")"!=a.slice(-1))throw new sre.SpeechRule.OutputError("Invalid attribute expression: "+a);var b={};a=sre.SpeechRule.splitString_(a.slice(1,-1),",");for(var c=0,d=a.length;c<d;c++){var e=a[c],f=e.indexOf(":");if(-1==f)b[e.trim()]="true";else{var g=e.substring(0,f).trim();e=e.slice(f+1).trim();b[g]="grammar"===g?sre.SpeechRule.Component.grammarFromString(e):b[g]=e}}return b};
sre.SpeechRule.Component.prototype.attributesToString=function(){var a=this.getAttributes(),b=this.grammarToString();b&&a.push("grammar:"+b);return 0<a.length?"("+a.join(", ")+")":""};sre.SpeechRule.Component.prototype.getAttributes=function(){var a=[],b;for(b in this.attributes){var c=this.attributes[b];"true"===c?a.push(b):a.push(b+":"+c)}return a};sre.SpeechRule.Action=function(a){this.components=a};
sre.SpeechRule.Action.fromString=function(a){a=sre.SpeechRule.splitString_(a,";").filter(function(a){return a.match(/\S/)}).map(function(a){return a.trim()});for(var b=[],c=0,d=a.length;c<d;c++){var e=sre.SpeechRule.Component.fromString(a[c]);e&&b.push(e)}return new sre.SpeechRule.Action(b)};sre.SpeechRule.Action.prototype.toString=function(){return this.components.map(function(a){return a.toString()}).join("; ")};sre.SpeechRule.Precondition=function(a,b){this.query=a;this.constraints=b||[]};
sre.SpeechRule.Precondition.prototype.toString=function(){var a=this.constraints.join(", ");return this.query+", "+a};
sre.SpeechRule.splitString_=function(a,b){for(var c=[],d="";""!=a;){var e=a.search(b);if(-1==e){if(0!=(a.match(/"/g)||[]).length%2)throw new sre.SpeechRule.OutputError("Invalid string in expression: "+a);c.push(d+a);a=d=""}else if(0==(a.substring(0,e).match(/"/g)||[]).length%2)c.push(d+a.substring(0,e)),d="",a=a.substring(e+1);else{var f=a.substring(e).search('"');if(-1==f)throw new sre.SpeechRule.OutputError("Invalid string in expression: "+a);d+=a.substring(0,e+f+1);a=a.substring(e+f+1)}}d&&c.push(d);
return c};sre.SpeechRule.OutputError=function(a){Error.call(this);this.message=a||"";this.name="RuleError"};goog.inherits(sre.SpeechRule.OutputError,Error);sre.SpeechRuleEvaluator=function(){};sre.SpeechRuleEvaluator.prototype.evaluateDefault=goog.abstractMethod;sre.SpeechRuleFunctions=function(){};sre.SpeechRuleFunctions.Store_=function(a,b){this.prefix_=a;this.store_=b};sre.SpeechRuleFunctions.Store_.prototype.add=function(a,b){this.checkCustomFunctionSyntax_(a)&&(this.store_[a]=b)};sre.SpeechRuleFunctions.Store_.prototype.addStore=function(a){for(var b=Object.keys(a.store_),c=0,d;d=b[c];c++)this.add(d,a.store_[d])};sre.SpeechRuleFunctions.Store_.prototype.lookup=function(a){return this.store_[a]};
sre.SpeechRuleFunctions.CustomQueries=function(){sre.SpeechRuleFunctions.Store_.call(this,"CQF",{})};goog.inherits(sre.SpeechRuleFunctions.CustomQueries,sre.SpeechRuleFunctions.Store_);sre.SpeechRuleFunctions.CustomStrings=function(){sre.SpeechRuleFunctions.Store_.call(this,"CSF",{})};goog.inherits(sre.SpeechRuleFunctions.CustomStrings,sre.SpeechRuleFunctions.Store_);sre.SpeechRuleFunctions.ContextFunctions=function(){sre.SpeechRuleFunctions.Store_.call(this,"CTXF",{})};
goog.inherits(sre.SpeechRuleFunctions.ContextFunctions,sre.SpeechRuleFunctions.Store_);sre.SpeechRuleFunctions.Store_.prototype.checkCustomFunctionSyntax_=function(a){return a.match(new RegExp("^"+this.prefix_))?!0:(console.log("FunctionError: Invalid function name. Expected prefix "+this.prefix_),!1)};sre.SpeechRuleStore=function(){};sre.SpeechRuleStore.prototype.addRule=goog.abstractMethod;sre.SpeechRuleStore.prototype.deleteRule=goog.abstractMethod;sre.SpeechRuleStore.prototype.findRule=goog.abstractMethod;sre.SpeechRuleStore.prototype.findAllRules=goog.abstractMethod;sre.SpeechRuleStore.prototype.lookupRule=goog.abstractMethod;sre.SpeechRuleStore.prototype.defineRule=goog.abstractMethod;sre.TrieNode=function(){};sre.TrieNode.prototype.getConstraint=function(){};sre.TrieNode.prototype.getKind=function(){};sre.TrieNode.prototype.applyTest=function(a){};sre.TrieNode.prototype.addChild=function(a){};sre.TrieNode.prototype.getChild=function(a){};sre.TrieNode.prototype.getChildren=function(){};sre.TrieNode.prototype.findChildren=function(a){};sre.TrieNode.Kind={ROOT:"root",DYNAMIC:"dynamic",QUERY:"query",BOOLEAN:"boolean",STATIC:"static"};sre.AbstractTrieNode=function(a,b){this.constraint=a;this.test=b;this.children_={};this.kind=sre.TrieNode.Kind.ROOT};sre.AbstractTrieNode.prototype.getConstraint=function(){return this.constraint};sre.AbstractTrieNode.prototype.getKind=function(){return this.kind};sre.AbstractTrieNode.prototype.applyTest=function(a){return this.test(a)};sre.AbstractTrieNode.prototype.addChild=function(a){var b=a.getConstraint(),c=this.children_[b];this.children_[b]=a;return c};
sre.AbstractTrieNode.prototype.getChild=function(a){return this.children_[a]};sre.AbstractTrieNode.prototype.getChildren=function(){var a=[],b;for(b in this.children_)a.push(this.children_[b]);return a};sre.AbstractTrieNode.prototype.findChildren=function(a){var b=[],c;for(c in this.children_){var d=this.children_[c];d.applyTest(a)&&b.push(d)}return b};sre.AbstractTrieNode.prototype.toString=function(){return this.constraint};
sre.StaticTrieNode=function(a,b){sre.AbstractTrieNode.call(this,a,b);this.kind=sre.TrieNode.Kind.STATIC;this.rule_=null};goog.inherits(sre.StaticTrieNode,sre.AbstractTrieNode);sre.StaticTrieNode.prototype.getRule=function(){return this.rule_};sre.StaticTrieNode.prototype.setRule=function(a){this.rule_&&sre.Debugger.getInstance().output("Replacing rule "+this.rule_+" with "+a);this.rule_=a};
sre.StaticTrieNode.prototype.toString=function(){return this.getRule()?this.constraint+"\n==> "+this.getRule().action:this.constraint};sre.TrieNodeFactory={};sre.TrieNodeFactory.getNode=function(a,b,c){switch(a){case sre.TrieNode.Kind.ROOT:return new sre.RootTrieNode;case sre.TrieNode.Kind.DYNAMIC:return new sre.DynamicTrieNode(b);case sre.TrieNode.Kind.QUERY:return new sre.QueryTrieNode(b,c);case sre.TrieNode.Kind.BOOLEAN:return new sre.BooleanTrieNode(b,c);default:return null}};sre.RootTrieNode=function(){sre.AbstractTrieNode.call(this,"",function(){return!0});this.kind=sre.TrieNode.Kind.ROOT};goog.inherits(sre.RootTrieNode,sre.AbstractTrieNode);
sre.DynamicTrieNode=function(a){sre.AbstractTrieNode.call(this,a,function(b){return b===a});this.kind=sre.TrieNode.Kind.DYNAMIC};goog.inherits(sre.DynamicTrieNode,sre.AbstractTrieNode);
sre.TrieNodeFactory.constraintTest_=function(a){if(a.match(/^self::\*$/))return function(a){return!0};if(a.match(/^self::\w+$/)){var b=a.slice(6).toUpperCase();return function(a){return a.tagName&&sre.DomUtil.tagName(a)===b}}if(a.match(/^self::\w+:\w+$/)){a=a.split(":");var c=sre.XpathUtil.resolveNameSpace(a[2]);if(!c)return null;b=a[3].toUpperCase();return function(a){return a.localName&&a.localName.toUpperCase()===b&&a.namespaceURI===c}}if(a.match(/^@\w+$/)){var d=a.slice(1);return function(a){return a.hasAttribute&&
a.hasAttribute(d)}}if(a.match(/^@\w+="[\w\d ]+"$/)){a=a.split("=");d=a[0].slice(1);var e=a[1].slice(1,-1);return function(a){return a.hasAttribute&&a.hasAttribute(d)&&a.getAttribute(d)===e}}return a.match(/^@\w+!="[\w\d ]+"$/)?(a=a.split("!="),d=a[0].slice(1),e=a[1].slice(1,-1),function(a){return!a.hasAttribute||!a.hasAttribute(d)||a.getAttribute(d)!==e}):a.match(/^contains\(\s*@grammar\s*,\s*"[\w\d ]+"\s*\)$/)?(a=a.split('"'),e=a[1],function(a){return sre.Grammar.getInstance().getParameter(e)}):
a.match(/^not\(\s*contains\(\s*@grammar\s*,\s*"[\w\d ]+"\s*\)\s*\)$/)?(a=a.split('"'),e=a[1],function(a){return!sre.Grammar.getInstance().getParameter(e)}):null};sre.QueryTrieNode=function(a,b){this.store_=b;sre.StaticTrieNode.call(this,a,sre.TrieNodeFactory.constraintTest_(a));this.kind=sre.TrieNode.Kind.QUERY};goog.inherits(sre.QueryTrieNode,sre.StaticTrieNode);sre.QueryTrieNode.prototype.applyTest=function(a){return this.test?this.test(a):this.store_.applyQuery(a,this.constraint)===a};
sre.BooleanTrieNode=function(a,b){this.store_=b;sre.StaticTrieNode.call(this,a,sre.TrieNodeFactory.constraintTest_(a));this.kind=sre.TrieNode.Kind.BOOLEAN};goog.inherits(sre.BooleanTrieNode,sre.StaticTrieNode);sre.BooleanTrieNode.prototype.applyTest=function(a){return this.test?this.test(a):this.store_.applyConstraint(a,this.constraint)};sre.Trie=function(a){this.store=a;this.root=sre.TrieNodeFactory.getNode(sre.TrieNode.Kind.ROOT,"",this.store)};sre.Trie.prototype.addRule=function(a){for(var b=this.root,c=a.dynamicCstr.getValues(),d=0,e=c.length;d<e;d++)b=this.addNode_(b,c[d],sre.TrieNode.Kind.DYNAMIC);b=this.addNode_(b,a.precondition.query,sre.TrieNode.Kind.QUERY);c=a.precondition.constraints;d=0;for(e=c.length;d<e;d++)b=this.addNode_(b,c[d],sre.TrieNode.Kind.BOOLEAN);b.setRule(a)};
sre.Trie.prototype.addNode_=function(a,b,c){var d=a.getChild(b);d||(d=sre.TrieNodeFactory.getNode(c,b,this.store),a.addChild(d));return d};
sre.Trie.prototype.lookupRules=function(a,b){for(var c=[this.root],d=[];b.length;){for(var e=b.shift(),f=[];c.length;){var g=c.shift();g=g.getChildren();g.forEach(function(a){a.getKind()===sre.TrieNode.Kind.DYNAMIC&&-1===e.indexOf(a.getConstraint())||f.push(a)})}c=f.slice()}for(;c.length;)g=c.shift(),g.getRule&&(b=g.getRule())&&d.push(b),g=g.findChildren(a),c=c.concat(g);return d};
sre.Trie.prototype.hasSubtrie=function(a){for(var b=this.root,c=0,d=a.length;c<d;c++)if(b=b.getChild(a[c]),!b)return!1;return!0};sre.Trie.prototype.toString=function(){return sre.Trie.printWithDepth_(this.root,0,"")};sre.Trie.prototype.collectRules=function(){return sre.Trie.collectRules_(this.root)};sre.Trie.prototype.order=function(){return sre.Trie.order_(this.root)};
sre.Trie.printWithDepth_=function(a,b,c){var d=Array(b+2).join(b)+": ";c+=d+a.toString()+"\n";a=a.getChildren();d=0;for(var e;e=a[d];d++)c=sre.Trie.printWithDepth_(e,b+1,c);return c};sre.Trie.order_=function(a){a=a.getChildren();if(!a.length)return 0;var b=Math.max.apply(null,a.map(sre.Trie.order_));return Math.max(a.length,b)};
sre.Trie.collectRules_=function(a){var b=[];for(a=[a];a.length;){var c=a.shift();if(c.getKind()===sre.TrieNode.Kind.QUERY||c.getKind()===sre.TrieNode.Kind.BOOLEAN){var d=c.getRule();d&&b.unshift(d)}a=a.concat(c.getChildren())}return b};sre.BaseRuleStore=function(){this.customQueries=new sre.SpeechRuleFunctions.CustomQueries;this.customStrings=new sre.SpeechRuleFunctions.CustomStrings;this.contextFunctions=new sre.SpeechRuleFunctions.ContextFunctions;this.speechRules_=[];this.trie=new sre.Trie(this);this.parseOrder=sre.DynamicCstr.DEFAULT_ORDER;this.parser=new sre.DynamicCstr.Parser(this.parseOrder);this.locale=sre.DynamicCstr.DEFAULT_VALUES[sre.DynamicCstr.Axis.LOCALE];this.initialized=!1};
sre.BaseRuleStore.prototype.lookupRule=function(a,b){if(!a||a.nodeType!=sre.DomUtil.NodeType.ELEMENT_NODE&&a.nodeType!=sre.DomUtil.NodeType.TEXT_NODE)return null;a=this.trie.lookupRules(a,b.allProperties());return 0<a.length?this.pickMostConstraint_(b,a):null};
sre.BaseRuleStore.prototype.defineRule=function(a,b,c,d,e){try{var f=sre.SpeechRule.Action.fromString(c),g=Array.prototype.slice.call(arguments,4),h=new sre.SpeechRule.Precondition(d,g),k=this.parseCstr(b);var l=new sre.SpeechRule(a,k,h,f)}catch(m){if("RuleError"==m.name)return console.log("Rule Error ",d,"("+b+"):",m.message),null;throw m;}this.addRule(l);return l};sre.BaseRuleStore.prototype.addRule=function(a){this.trie.addRule(a);this.speechRules_.unshift(a)};
sre.BaseRuleStore.prototype.deleteRule=function(a){a=this.speechRules_.indexOf(a);-1!=a&&this.speechRules_.splice(a,1)};sre.BaseRuleStore.prototype.findRule=function(a){for(var b=0,c;c=this.speechRules_[b];b++)if(a(c))return c;return null};sre.BaseRuleStore.prototype.findAllRules=function(a){return this.speechRules_.filter(a)};sre.BaseRuleStore.prototype.evaluateDefault=function(a){return[sre.AuditoryDescription.create({text:a.textContent})]};
sre.BaseRuleStore.prototype.debugSpeechRule=function(a,b){a=a.precondition;var c=this.applyQuery(b,a.query);sre.Debugger.getInstance().output(a.query,c?c.toString():c);a.constraints.forEach(goog.bind(function(a){sre.Debugger.getInstance().output(a,this.applyConstraint(b,a))},this))};sre.BaseRuleStore.prototype.initialize=goog.abstractMethod;
sre.BaseRuleStore.prototype.removeDuplicates=function(a){for(var b=this.speechRules_.length-1,c;c=this.speechRules_[b];b--)c!=a&&a.dynamicCstr.equal(c.dynamicCstr)&&sre.BaseRuleStore.comparePreconditions_(c,a)&&this.speechRules_.splice(b,1)};sre.BaseRuleStore.prototype.applyCustomQuery=function(a,b){return(b=this.customQueries.lookup(b))?b(a):null};sre.BaseRuleStore.prototype.applySelector=function(a,b){return this.applyCustomQuery(a,b)||sre.XpathUtil.evalXPath(b,a)};
sre.BaseRuleStore.prototype.applyQuery=function(a,b){a=this.applySelector(a,b);return 0<a.length?a[0]:null};sre.BaseRuleStore.prototype.applyConstraint=function(a,b){return!!this.applyQuery(a,b)||sre.XpathUtil.evaluateBoolean(b,a)};
sre.BaseRuleStore.prototype.pickMostConstraint_=function(a,b){var c=sre.Engine.getInstance().comparator;b.sort(function(a,b){return c.compare(a.dynamicCstr,b.dynamicCstr)||b.precondition.constraints.length-a.precondition.constraints.length});sre.Debugger.getInstance().generateOutput(goog.bind(function(){return b.map(function(a){return a.name+"("+a.dynamicCstr.toString()+")"})},this));return b[0]};
sre.BaseRuleStore.compareStaticConstraints_=function(a,b){if(a.length!=b.length)return!1;for(var c=0,d;d=a[c];c++)if(-1==b.indexOf(d))return!1;return!0};sre.BaseRuleStore.comparePreconditions_=function(a,b){a=a.precondition;b=b.precondition;return a.query!=b.query?!1:sre.BaseRuleStore.compareStaticConstraints_(a.constraints,b.constraints)};sre.BaseRuleStore.prototype.getSpeechRules=function(){return this.speechRules_};sre.BaseRuleStore.prototype.setSpeechRules=function(a){this.speechRules_=a};
sre.BaseRuleStore.prototype.parseCstr=function(a){return this.parser.parse(this.locale+"."+a)};sre.MathStore=function(){sre.BaseRuleStore.call(this);this.initializer=[]};goog.inherits(sre.MathStore,sre.BaseRuleStore);sre.MathStore.prototype.initialize=function(){if(!this.initialized){for(var a=0,b;b=this.initializer[a];a++)b();this.setSpeechRules(this.trie.collectRules());this.initialized=!0}};
sre.MathStore.prototype.defineUniqueRuleAlias=function(a,b,c,d){var e=this.parseCstr(b),f=this.findRule(goog.bind(function(b){return b.name==a&&e.equal(b.dynamicCstr)},this));if(!f)throw new sre.SpeechRule.OutputError("Rule named "+a+" with style "+b+" does not exist.");this.addAlias_(f,c,Array.prototype.slice.call(arguments,3))};
sre.MathStore.prototype.defineRuleAlias=function(a,b,c){var d=this.findRule(function(b){return b.name==a});if(!d)throw new sre.SpeechRule.OutputError("Rule with named "+a+" does not exist.");this.addAlias_(d,b,Array.prototype.slice.call(arguments,2))};
sre.MathStore.prototype.defineRulesAlias=function(a,b,c){var d=this.findAllRules(function(b){return b.name==a});if(0==d.length)throw new sre.SpeechRule.OutputError("Rule with name "+a+" does not exist.");var e=Array.prototype.slice.call(arguments,2);d.forEach(goog.bind(function(a){this.addAlias_(a,b,e)},this))};sre.MathStore.prototype.addAlias_=function(a,b,c){b=new sre.SpeechRule.Precondition(b,c);b=new sre.SpeechRule(a.name,a.dynamicCstr,b,a.action);b.name=a.name;this.addRule(b)};
sre.MathStore.prototype.defineSpecialisedRule=function(a,b,c,d){var e=this.parseCstr(b),f=this.findRule(goog.bind(function(b){return b.name==a&&e.equal(b.dynamicCstr)},this));if(!f)throw new sre.SpeechRule.OutputError("Rule named "+a+" with style "+b+" does not exist.");b=this.parseCstr(c);d=d?sre.SpeechRule.Action.fromString(d):f.action;f=new sre.SpeechRule(f.name,b,f.precondition,d);this.addRule(f)};sre.MathStore.prototype.evaluateDefault=function(a){return this.evaluateString_(a.textContent)};
sre.MathStore.prototype.evaluateString_=function(a){var b=[];if(a.match(/^\s+$/))return b;a=sre.BaseUtil.removeEmpty(a.replace(/\s/g," ").split(" "));for(var c=0,d;d=a[c];c++)if(1==d.length)b.push(this.evaluate_(d));else if(d.match(/^[a-zA-Z]+$/))b.push(this.evaluate_(d));else for(;d;){var e=d.match(/^((\d{1,3})(?=,)(,\d{3})*(\.\d+)?)|^\d*\.\d+|^\d+/),f=d.match(/^[a-zA-Z]+/);e?(b.push(this.evaluate_(e[0])),d=d.substring(e[0].length)):f?(b.push(this.evaluate_(f[0])),d=d.substring(f[0].length)):(e=
d[0].charCodeAt(0),55296<=e&&56319>=e&&1<d.length&&!isNaN(d.charCodeAt(1))?(b.push(this.evaluate_(d.slice(0,2))),d=d.substring(2)):(b.push(this.evaluate_(d[0])),d=d.substring(1)))}return b};sre.MathStore.prototype.evaluate_=function(a){return sre.AuditoryDescription.create({text:a},{adjust:!0,translate:!0})};sre.WalkerUtil={};sre.WalkerUtil.splitAttribute=function(a){return a?a.split(/,/):[]};sre.WalkerUtil.getAttribute=function(a,b){return sre.DomUtil.getDataAttribute(a,b)};sre.WalkerUtil.getSemanticRoot=function(a){if(a.hasAttribute(sre.EnrichMathml.Attribute.TYPE)&&!a.hasAttribute(sre.EnrichMathml.Attribute.PARENT))return a;for(var b=sre.DomUtil.querySelectorAllByAttr(a,sre.EnrichMathml.Attribute.TYPE),c=0,d;d=b[c];c++)if(!d.hasAttribute(sre.EnrichMathml.Attribute.PARENT))return d;return a};
sre.WalkerUtil.getBySemanticId=function(a,b){return a.getAttribute(sre.EnrichMathml.Attribute.ID)===b?a:sre.DomUtil.querySelectorAllByAttrValue(a,sre.EnrichMathml.Attribute.ID,b)[0]};sre.RebuildStree=function(a){this.nodeDict={};this.mathml=a;this.mmlRoot=sre.WalkerUtil.getSemanticRoot(a);this.streeRoot=this.assembleTree(this.mmlRoot);this.stree=sre.SemanticTree.fromNode(this.streeRoot,this.mathml);this.xml=this.stree.xml()};sre.RebuildStree.prototype.getTree=function(){return this.stree};
sre.RebuildStree.prototype.assembleTree=function(a){var b=this.makeNode(a),c=sre.WalkerUtil.splitAttribute(sre.WalkerUtil.getAttribute(a,sre.EnrichMathml.Attribute.CHILDREN)),d=sre.WalkerUtil.splitAttribute(sre.WalkerUtil.getAttribute(a,sre.EnrichMathml.Attribute.CONTENT));if(0===d.length&&0===c.length)return b.textContent=a.textContent,b;if(0<d.length){var e=sre.WalkerUtil.getBySemanticId(a,d[0]);e&&(e=sre.WalkerUtil.splitAttribute(sre.WalkerUtil.getAttribute(e,sre.EnrichMathml.Attribute.OPERATOR)),
1<e.length&&(b.textContent=e[1]))}e=function(c){c=sre.WalkerUtil.getBySemanticId(a,c);c=this.assembleTree(c);c.parent=b;return c};b.contentNodes=d.map(goog.bind(e,this));b.childNodes=c.map(goog.bind(e,this));return(c=sre.WalkerUtil.getAttribute(a,sre.EnrichMathml.Attribute.COLLAPSED))?this.postProcess(b,c):b};
sre.RebuildStree.prototype.makeNode=function(a){var b=sre.WalkerUtil.getAttribute(a,sre.EnrichMathml.Attribute.TYPE),c=sre.WalkerUtil.getAttribute(a,sre.EnrichMathml.Attribute.ROLE),d=sre.WalkerUtil.getAttribute(a,sre.EnrichMathml.Attribute.FONT),e=sre.WalkerUtil.getAttribute(a,sre.EnrichMathml.Attribute.ID),f=sre.WalkerUtil.getAttribute(a,sre.EnrichMathml.Attribute.EMBELLISHED);a=sre.WalkerUtil.getAttribute(a,sre.EnrichMathml.Attribute.FENCEPOINTER);e=this.createNode(parseInt(e,10));e.type=b;e.role=
c;e.font=d?d:sre.SemanticAttr.Font.UNKNOWN;a&&(e.fencePointer=a);f&&(e.embellished=f);return e};sre.RebuildStree.isPunctuated=function(a){return!sre.SemanticSkeleton.simpleCollapseStructure(a)&&a[1]&&sre.SemanticSkeleton.contentCollapseStructure(a[1])};sre.RebuildStree.prototype.makePunctuation=function(a){a=this.createNode(a);a.updateContent(sre.SemanticAttr.invisibleComma());a.role=sre.SemanticAttr.Role.DUMMY;return a};
sre.RebuildStree.prototype.makePunctuated=function(a,b,c){var d=this.createNode(b[0]);d.type=sre.SemanticAttr.Type.PUNCTUATED;d.embellished=a.embellished;d.fencePointer=a.fencePointer;d.role=c;a=b.splice(1,1)[0].slice(1);d.contentNodes=a.map(goog.bind(this.makePunctuation,this));this.collapsedChildren_(b)};sre.RebuildStree.prototype.makeEmpty=function(a,b,c){b=this.createNode(b);b.type=sre.SemanticAttr.Type.EMPTY;b.embellished=a.embellished;b.fencePointer=a.fencePointer;b.role=c};
sre.RebuildStree.prototype.makeIndex=function(a,b,c){sre.RebuildStree.isPunctuated(b)?this.makePunctuated(a,b,c):sre.SemanticSkeleton.simpleCollapseStructure(b)&&!this.nodeDict[b.toString()]&&this.makeEmpty(a,b,c)};
sre.RebuildStree.prototype.postProcess=function(a,b){b=sre.SemanticSkeleton.fromString(b).array;if(a.type===sre.SemanticAttr.Role.SUBSUP){var c=this.createNode(b[1][0]);c.type=sre.SemanticAttr.Type.SUBSCRIPT;c.role=sre.SemanticAttr.Role.SUBSUP;a.type=sre.SemanticAttr.Type.SUPERSCRIPT;c.embellished=a.embellished;c.fencePointer=a.fencePointer;this.makeIndex(a,b[1][2],sre.SemanticAttr.Role.RIGHTSUB);this.makeIndex(a,b[2],sre.SemanticAttr.Role.RIGHTSUPER);this.collapsedChildren_(b);return a}if(a.type===
sre.SemanticAttr.Type.SUBSCRIPT)return this.makeIndex(a,b[2],sre.SemanticAttr.Role.RIGHTSUB),this.collapsedChildren_(b),a;if(a.type===sre.SemanticAttr.Type.SUPERSCRIPT)return this.makeIndex(a,b[2],sre.SemanticAttr.Role.RIGHTSUPER),this.collapsedChildren_(b),a;if(a.type===sre.SemanticAttr.Type.TENSOR)return this.makeIndex(a,b[2],sre.SemanticAttr.Role.LEFTSUB),this.makeIndex(a,b[3],sre.SemanticAttr.Role.LEFTSUPER),this.makeIndex(a,b[4],sre.SemanticAttr.Role.RIGHTSUB),this.makeIndex(a,b[5],sre.SemanticAttr.Role.RIGHTSUPER),
this.collapsedChildren_(b),a;if(a.type===sre.SemanticAttr.Type.PUNCTUATED)return sre.RebuildStree.isPunctuated(b)&&(b=b.splice(1,1)[0].slice(1),a.contentNodes=b.map(goog.bind(this.makePunctuation,this))),a;a.type===sre.SemanticAttr.Role.UNDEROVER&&(c=this.createNode(b[1][0]),a.childNodes[1].role===sre.SemanticAttr.Role.OVERACCENT?(c.type=sre.SemanticAttr.Type.OVERSCORE,a.type=sre.SemanticAttr.Type.UNDERSCORE):(c.type=sre.SemanticAttr.Type.UNDERSCORE,a.type=sre.SemanticAttr.Type.OVERSCORE),c.role=
sre.SemanticAttr.Role.UNDEROVER,c.embellished=a.embellished,c.fencePointer=a.fencePointer,this.collapsedChildren_(b));return a};sre.RebuildStree.prototype.createNode=function(a){var b=new sre.SemanticNode(a);return this.nodeDict[a.toString()]=b};
sre.RebuildStree.prototype.collapsedChildren_=function(a){var b=goog.bind(function(a){var c=this.nodeDict[a[0]];c.childNodes=[];for(var e=1,f=a.length;e<f;e++){var g=a[e];c.childNodes.push(sre.SemanticSkeleton.simpleCollapseStructure(g)?this.nodeDict[g]:b(g))}return c},this);b(a)};sre.SpeechGenerator=function(){};sre.SpeechGenerator.prototype.getSpeech=function(a,b){};sre.SpeechGenerator.prototype.getRebuilt=function(){};sre.SpeechGenerator.prototype.setRebuilt=function(a){};sre.SpeechGenerator.prototype.start=function(){};sre.SpeechGenerator.prototype.end=function(){};sre.MathSimpleStore=function(){sre.MathStore.call(this)};goog.inherits(sre.MathSimpleStore,sre.MathStore);sre.MathSimpleStore.prototype.defineRulesFromMappings=function(a,b,c){for(var d in c)for(var e in c[d])this.defineRule(a,d+"."+e,'[t] "'+c[d][e]+'"',"self::text()",'"'===b?"self::text() = '"+b+"'":'self::text() = "'+b+'"')};
sre.MathSimpleStore.prototype.lookupRule=function(a,b){a=this.getSpeechRules().filter(function(a){return sre.MathSimpleStore.testDynamicConstraints_(b,a)});return a.length?a.sort(function(a,b){return sre.Engine.getInstance().comparator.compare(a.dynamicCstr,b.dynamicCstr)})[0]:null};sre.MathSimpleStore.testDynamicConstraints_=function(a,b){return sre.Engine.getInstance().strict?b.dynamicCstr.equal(a):sre.Engine.getInstance().comparator.match(b.dynamicCstr)};
sre.MathCompoundStore=function(){this.subStores_={};this.locale=sre.DynamicCstr.DEFAULT_VALUES[sre.DynamicCstr.Axis.LOCALE]};goog.addSingletonGetter(sre.MathCompoundStore);sre.MathCompoundStore.prototype.defineRules=function(a,b,c){var d=this.subStores_[b];d?sre.Debugger.getInstance().output("Store exists! "+b):(d=new sre.MathSimpleStore,this.subStores_[b]=d);d.locale=this.locale;d.defineRulesFromMappings(a,b,c)};
sre.MathCompoundStore.prototype.changeLocale_=function(a){if(!a.locale)return!1;this.locale=a.locale;return!0};sre.MathCompoundStore.prototype.addSymbolRules=function(a){if(!this.changeLocale_(a)){var b=sre.MathSimpleStore.parseUnicode_(a.key);this.defineRules(a.key,b,a.mappings)}};sre.MathCompoundStore.prototype.addFunctionRules=function(a){if(!this.changeLocale_(a)){var b=a.names;a=a.mappings;for(var c=0,d;d=b[c];c++)this.defineRules(d,d,a)}};
sre.MathCompoundStore.prototype.addUnitRules=function(a){if(!this.changeLocale_(a)){var b=a.names;b&&(a.names=b.map(function(a){return a+":unit"}));this.addFunctionRules(a)}};sre.MathCompoundStore.prototype.lookupRule=function(a,b){return(a=this.subStores_[a])?a.lookupRule(null,b):null};sre.MathCompoundStore.prototype.lookupString=function(a,b){return(a=this.lookupRule(a,b))?a.action.components.map(function(a){return a.content.slice(1,-1)}).join(" "):""};
sre.MathSimpleStore.parseUnicode_=function(a){a=parseInt(a,16);if(65536>a)return String.fromCharCode(a);a-=65536;return String.fromCharCode((a>>10)+55296,(a&1023)+56320)};sre.MathMap=function(){this.store=sre.MathCompoundStore.getInstance();this.retrieveMaps()};goog.addSingletonGetter(sre.MathMap);sre.MathMap.toFetch_=0;sre.Engine.registerTest(function(){return sre.MathMap.getInstance()&&!sre.MathMap.toFetch_});sre.MathMap.prototype.stringify=function(){return JSON.stringify(this)};sre.MathMap.SYMBOLS_PATH_="symbols";sre.MathMap.FUNCTIONS_PATH_="functions";sre.MathMap.UNITS_PATH_="units";sre.MathMap.SYMBOLS_FILES_="greek-capital.js greek-small.js greek-scripts.js greek-symbols.js greek-mathfonts-bold.js greek-mathfonts-italic.js greek-mathfonts-sans-serif-bold.js hebrew_letters.js latin-lower-double-accent.js latin-lower-normal.js latin-lower-phonetic.js latin-lower-single-accent.js latin-rest.js latin-upper-double-accent.js latin-upper-normal.js latin-upper-single-accent.js latin-mathfonts-bold-fraktur.js latin-mathfonts-bold.js latin-mathfonts-bold-script.js latin-mathfonts-double-struck.js latin-mathfonts-fraktur.js latin-mathfonts-italic.js latin-mathfonts-monospace.js latin-mathfonts-sans-serif-bold.js latin-mathfonts-sans-serif-italic.js latin-mathfonts-sans-serif.js latin-mathfonts-script.js math_angles.js math_arrows.js math_characters.js math_delimiters.js math_digits.js math_geometry.js math_harpoons.js math_non_characters.js math_symbols.js math_whitespace.js other_stars.js".split(" ");
sre.MathMap.FUNCTIONS_FILES_=["algebra.js","elementary.js","hyperbolic.js","trigonometry.js"];sre.MathMap.UNITS_FILES_="energy.js length.js memory.js other.js speed.js temperature.js time.js volume.js weight.js".split(" ");
sre.MathMap.retrieveFiles=function(a,b,c){b=sre.BaseUtil.makePath(sre.SystemExternal.jsonPath+b);switch(sre.Engine.getInstance().mode){case sre.Engine.Mode.ASYNC:sre.MathMap.toFetch_+=a.length;for(var d=0,e;e=a[d];d++)sre.MathMap.fromFile_(b+e,function(a,b){sre.MathMap.toFetch_--;a||JSON.parse(b).forEach(function(a){c(a)})});break;case sre.Engine.Mode.HTTP:var f=sre.Engine.getInstance().isIE;sre.MathMap.toFetch_+=a.length;for(d=0;e=a[d];d++)f?sre.MathMap.getJsonIE_(e,c):sre.MathMap.getJsonAjax_(b+
e,c);break;default:sre.MathMap.parseFiles(a.map(function(a){return b+a})).forEach(function(a){c(a)})}};
sre.MathMap.prototype.retrieveMaps=function(){for(var a=0;a<sre.Variables.LOCALES.length;a++){var b=sre.Variables.LOCALES[a];sre.MathMap.retrieveFiles(sre.MathMap.FUNCTIONS_FILES_,b+"/"+sre.MathMap.FUNCTIONS_PATH_,goog.bind(this.store.addFunctionRules,this.store));sre.MathMap.retrieveFiles(sre.MathMap.SYMBOLS_FILES_,b+"/"+sre.MathMap.SYMBOLS_PATH_,goog.bind(this.store.addSymbolRules,this.store));sre.MathMap.retrieveFiles(sre.MathMap.UNITS_FILES_,b+"/"+sre.MathMap.UNITS_PATH_,goog.bind(this.store.addUnitRules,
this.store))}};sre.MathMap.getJsonIE_=function(a,b,c){var d=c||1;if(sre.BrowserUtil.mapsForIE){for(c=0;c<sre.Variables.LOCALES.length;c++){var e=sre.BrowserUtil.mapsForIE[sre.Variables.LOCALES[c]+"/"+a];e&&e.forEach(function(a){b(a)})}sre.MathMap.toFetch_--}else 5>=d?setTimeout(function(){sre.MathMap.getJsonIE_(a,b,d++)},300):sre.MathMap.toFetch_--};sre.MathMap.fromFile_=function(a,b){return sre.SystemExternal.fs.readFile(a,"utf8",b)};
sre.MathMap.loadFile=function(a){try{return sre.MathMap.readJSON_(a)}catch(b){console.log("Unable to load file: "+a+", error: "+b)}};sre.MathMap.loadFiles=function(a){return a.map(sre.MathMap.loadFile)};sre.MathMap.parseFiles=function(a){a=sre.MathMap.loadFiles(a);return[].concat.apply([],a.map(function(a){return JSON.parse(a)}))};sre.MathMap.readJSON_=function(a){return sre.SystemExternal.fs.readFileSync(a)};
sre.MathMap.getJsonAjax_=function(a,b){var c=new XMLHttpRequest;c.onreadystatechange=function(){4===c.readyState&&(sre.MathMap.toFetch_--,200===c.status&&JSON.parse(c.responseText).forEach(function(a){b(a)}))};c.open("GET",a,!0);c.send()};sre.AbstractionRules=function(){sre.MathStore.call(this)};goog.inherits(sre.AbstractionRules,sre.MathStore);goog.addSingletonGetter(sre.AbstractionRules);sre.AbstractionRules.mathStore=sre.AbstractionRules.getInstance();sre.AbstractionRules.defineRule_=goog.bind(sre.AbstractionRules.mathStore.defineRule,sre.AbstractionRules.mathStore);sre.AbstractionRules.defineRuleAlias_=goog.bind(sre.AbstractionRules.mathStore.defineRulesAlias,sre.AbstractionRules.mathStore);
sre.AbstractionRules.defineSpecialisedRule_=goog.bind(sre.AbstractionRules.mathStore.defineSpecialisedRule,sre.AbstractionRules.mathStore);sre.AbstractionRules.defineUniqueRuleAlias_=goog.bind(sre.AbstractionRules.mathStore.defineUniqueRuleAlias,sre.AbstractionRules.mathStore);
sre.AbstractionRules.initAbstractionRules_=function(){(0,sre.AbstractionRules.defineRule_)("abstr-collapsed","mathspeak.default",'[t] "collapsed"; [n] . (grammar:collapsed)',"self::*","@alternative",'not(@alternative="summary")','not(contains(@grammar, "collapsed"))');(0,sre.AbstractionRules.defineRule_)("abstr-identifier","mathspeak.default",'[t] "long identifier"',"self::identifier","@alternative","self::*","self::*","self::*","self::*");(0,sre.AbstractionRules.defineRule_)("abstr-identifier","mathspeak.default",
'[t] "identifier"',"self::identifier",'@alternative="summary"',"@alternative","self::*","self::*","self::*","self::*");(0,sre.AbstractionRules.defineRule_)("abstr-identifier","mathspeak.brief",'[t] "identifier"',"self::identifier","@alternative","self::*","self::*","self::*","self::*");(0,sre.AbstractionRules.defineSpecialisedRule_)("abstr-identifier","mathspeak.brief","mathspeak.sbrief");(0,sre.AbstractionRules.defineRule_)("abstr-number","mathspeak.default",'[t] "long number"',"self::number","@alternative");
(0,sre.AbstractionRules.defineRule_)("abstr-number","mathspeak.default",'[t] "number"',"self::number","@alternative",'@alternative="summary"');(0,sre.AbstractionRules.defineRule_)("abstr-number","mathspeak.brief",'[t] "number"',"self::number","@alternative");(0,sre.AbstractionRules.defineSpecialisedRule_)("abstr-number","mathspeak.brief","mathspeak.sbrief");(0,sre.AbstractionRules.defineRule_)("abstr-mixed-number","mathspeak.default",'[t] "long mixed number"',"self::number","@alternative",'@role="mixed"');
(0,sre.AbstractionRules.defineRule_)("abstr-mixed-number","mathspeak.brief",'[t] "mixed number"',"self::number","@alternative",'@role="mixed"');(0,sre.AbstractionRules.defineSpecialisedRule_)("abstr-mixed-number","mathspeak.brief","mathspeak.sbrief");(0,sre.AbstractionRules.defineRule_)("abstr-text","mathspeak.default",'[t] "text"',"self::text","@alternative");(0,sre.AbstractionRules.defineRule_)("abstr-function","mathspeak.default",'[t] "functional expression"',"self::function","@alternative","self::*");
(0,sre.AbstractionRules.defineRule_)("abstr-function","mathspeak.brief",'[t] "function"',"self::function","@alternative","self::*");(0,sre.AbstractionRules.defineSpecialisedRule_)("abstr-function","mathspeak.brief","mathspeak.sbrief");(0,sre.AbstractionRules.defineRule_)("abstr-lim","mathspeak.default",'[t] "limit function"',"self::function","@alternative",'@role="limit function"');(0,sre.AbstractionRules.defineRule_)("abstr-lim","mathspeak.brief",'[t] "lim"',"self::function","@alternative",'@role="limit function"');
(0,sre.AbstractionRules.defineSpecialisedRule_)("abstr-lim","mathspeak.brief","mathspeak.sbrief");(0,sre.AbstractionRules.defineRule_)("abstr-fraction","mathspeak.default",'[t] "fraction"',"self::fraction","@alternative");(0,sre.AbstractionRules.defineRule_)("abstr-fraction","mathspeak.brief",'[t] "frac"',"self::fraction","@alternative");(0,sre.AbstractionRules.defineSpecialisedRule_)("abstr-fraction","mathspeak.brief","mathspeak.sbrief");(0,sre.AbstractionRules.defineRule_)("abstr-continued-fraction",
"mathspeak.default",'[t] "continued fraction"',"self::fraction","@alternative",'children/*[2]/descendant-or-self::*[@role="ellipsis"]',"self::*","self::*");(0,sre.AbstractionRules.defineRule_)("abstr-continued-fraction","mathspeak.brief",'[t] "continued frac"',"self::fraction","@alternative",'children/*[2]/descendant-or-self::*[@role="ellipsis"]',"self::*","self::*");(0,sre.AbstractionRules.defineSpecialisedRule_)("abstr-continued-fraction","mathspeak.brief","mathspeak.sbrief");(0,sre.AbstractionRules.defineRule_)("abstr-sqrt",
"mathspeak.default",'[t] "square root"',"self::sqrt","@alternative");(0,sre.AbstractionRules.defineSpecialisedRule_)("abstr-sqrt","mathspeak.default","mathspeak.brief");(0,sre.AbstractionRules.defineSpecialisedRule_)("abstr-sqrt","mathspeak.brief","mathspeak.sbrief");(0,sre.AbstractionRules.defineRule_)("abstr-sqrt-nested","mathspeak.default",'[t] "nested square root"',"self::sqrt","@alternative","children/*/descendant-or-self::sqrt or children/*/descendant-or-self::root");(0,sre.AbstractionRules.defineSpecialisedRule_)("abstr-sqrt-nested",
"mathspeak.default","mathspeak.brief");(0,sre.AbstractionRules.defineSpecialisedRule_)("abstr-sqrt-nested","mathspeak.brief","mathspeak.sbrief");(0,sre.AbstractionRules.defineRule_)("abstr-root","mathspeak.default",'[t] "root of index"; [n] children/*[1]; [t] "endindex"',"self::root","@alternative","following-sibling::* or ancestor::*/following-sibling::*");(0,sre.AbstractionRules.defineRule_)("abstr-root","mathspeak.brief",'[t] "root"',"self::root","@alternative");(0,sre.AbstractionRules.defineSpecialisedRule_)("abstr-root",
"mathspeak.brief","mathspeak.sbrief");(0,sre.AbstractionRules.defineRule_)("abstr-root-nested","mathspeak.default",'[t] "nested root of index"; [n] children/*[1]',"self::root","@alternative","children/*/descendant-or-self::sqrt or children/*/descendant-or-self::root");(0,sre.AbstractionRules.defineRule_)("abstr-root-nested","mathspeak.default",'[t] "nested root of index"; [n] children/*[1]; [t] "endindex"',"self::root","@alternative","children/*/descendant-or-self::sqrt or children/*/descendant-or-self::root",
"following-sibling::* or ancestor::*/following-sibling::*");(0,sre.AbstractionRules.defineRule_)("abstr-root-nested","mathspeak.brief",'[t] "nested root"',"self::root","@alternative","children/*/descendant-or-self::sqrt or children/*/descendant-or-self::root");(0,sre.AbstractionRules.defineSpecialisedRule_)("abstr-root-nested","mathspeak.brief","mathspeak.sbrief");(0,sre.AbstractionRules.defineRule_)("abstr-superscript","mathspeak.default",'[t] "power"',"self::superscript","@alternative","self::*",
"self::*","self::*","self::*");(0,sre.AbstractionRules.defineSpecialisedRule_)("abstr-superscript","mathspeak.default","mathspeak.brief");(0,sre.AbstractionRules.defineSpecialisedRule_)("abstr-superscript","mathspeak.brief","mathspeak.sbrief");(0,sre.AbstractionRules.defineRule_)("abstr-subscript","mathspeak.default",'[t] "subscript"',"self::subscript","@alternative","self::*","self::*","self::*");(0,sre.AbstractionRules.defineSpecialisedRule_)("abstr-subscript","mathspeak.default","mathspeak.brief");
(0,sre.AbstractionRules.defineSpecialisedRule_)("abstr-subscript","mathspeak.brief","mathspeak.sbrief");(0,sre.AbstractionRules.defineRule_)("abstr-subsup","mathspeak.default",'[t] "power with subscript"',"self::superscript","@alternative",'name(children/*[1])="subscript"',"self::*","self::*","self::*");(0,sre.AbstractionRules.defineSpecialisedRule_)("abstr-subsup","mathspeak.default","mathspeak.brief");(0,sre.AbstractionRules.defineSpecialisedRule_)("abstr-subsup","mathspeak.brief","mathspeak.sbrief");
(0,sre.AbstractionRules.defineRule_)("abstr-infixop","mathspeak.default",'[t] @role (grammar:localRole); [t] "with"; [t] count(./children/*); [t] "elements"',"self::infixop","@alternative");(0,sre.AbstractionRules.defineRule_)("abstr-infixop","mathspeak.default",'[t] @role (grammar:localRole); [t] "with variable number of elements"',"self::infixop","@alternative","count(./children/*)>2",'./children/punctuation[@role="ellipsis"]');(0,sre.AbstractionRules.defineRule_)("abstr-infixop","mathspeak.brief",
"[t] @role (grammar:localRole)","self::infixop","@alternative");(0,sre.AbstractionRules.defineSpecialisedRule_)("abstr-infixop","mathspeak.brief","mathspeak.sbrief");(0,sre.AbstractionRules.defineRule_)("abstr-addition","mathspeak.default",'[t] "sum with"; [t] count(./children/*); [t] "summands"',"self::infixop","@alternative",'@role="addition"');(0,sre.AbstractionRules.defineRule_)("abstr-addition","mathspeak.brief",'[t] "sum"',"self::infixop","@alternative",'@role="addition"');(0,sre.AbstractionRules.defineSpecialisedRule_)("abstr-addition",
"mathspeak.brief","mathspeak.sbrief");(0,sre.AbstractionRules.defineRule_)("abstr-var-addition","mathspeak.default",'[t] "sum with variable number of summands"',"self::infixop","@alternative",'@role="addition"',"count(./children/*)>2",'./children/punctuation[@role="ellipsis"]');(0,sre.AbstractionRules.defineRule_)("abstr-multiplication","mathspeak.default",'[t] "product with"; [t] count(./children/*); [t] "factors"',"self::infixop","@alternative",'@role="multiplication"');(0,sre.AbstractionRules.defineRule_)("abstr-multiplication",
"mathspeak.brief",'[t] "product"',"self::infixop","@alternative",'@role="multiplication"');(0,sre.AbstractionRules.defineSpecialisedRule_)("abstr-multiplication","mathspeak.brief","mathspeak.sbrief");(0,sre.AbstractionRules.defineRuleAlias_)("abstr-multiplication","self::infixop","@alternative",'@role="implicit"');(0,sre.AbstractionRules.defineRule_)("abstr-var-multiplication","mathspeak.default",'[t] "product with variable number of factors"',"self::infixop","@alternative",'@role="multiplication"',
"count(./children/*)>2",'./children/punctuation[@role="ellipsis"]');(0,sre.AbstractionRules.defineRuleAlias_)("abstr-var-multiplication","self::infixop","@alternative",'@role="implicit"',"count(./children/*)>2",'./children/punctuation[@role="ellipsis"]');(0,sre.AbstractionRules.defineRule_)("abstr-vector","mathspeak.default",'[t] count(./children/*) ; [t] "dimensional vector"',"self::vector","@alternative");(0,sre.AbstractionRules.defineRule_)("abstr-vector","mathspeak.brief",'[t] "vector"',"self::vector",
"@alternative");(0,sre.AbstractionRules.defineSpecialisedRule_)("abstr-vector","mathspeak.brief","mathspeak.sbrief");(0,sre.AbstractionRules.defineRule_)("abstr-var-vector","mathspeak.default",'[t] "n dimensional vector"',"self::vector","@alternative",'./children/*/children/punctuation[@role="ellipsis"]');(0,sre.AbstractionRules.defineRule_)("abstr-binomial","mathspeak.default",'[t] "binomial"',"self::vector","@alternative",'@role="binomial"');(0,sre.AbstractionRules.defineSpecialisedRule_)("abstr-binomial",
"mathspeak.default","mathspeak.brief");(0,sre.AbstractionRules.defineSpecialisedRule_)("abstr-binomial","mathspeak.default","mathspeak.sbrief");(0,sre.AbstractionRules.defineRule_)("abstr-determinant","mathspeak.default",'[t] count(./children/*); [t] "dimensional determinant"',"self::matrix","@alternative",'@role="determinant"',"self::*");(0,sre.AbstractionRules.defineRule_)("abstr-determinant","mathspeak.brief",'[t] "determinant"',"self::matrix","@alternative",'@role="determinant"',"self::*");(0,sre.AbstractionRules.defineSpecialisedRule_)("abstr-determinant",
"mathspeak.brief","mathspeak.sbrief");(0,sre.AbstractionRules.defineRule_)("abstr-var-determinant","mathspeak.default",'[t] "n dimensional determinant"',"self::matrix","@alternative",'@role="determinant"','./children/*/children/*/children/punctuation[@role="ellipsis"]');(0,sre.AbstractionRules.defineRule_)("abstr-squarematrix","mathspeak.default",'[t] count(./children/*); [t] "dimensional square matrix"',"self::matrix","@alternative",'@role="squarematrix"');(0,sre.AbstractionRules.defineRule_)("abstr-squarematrix",
"mathspeak.brief",'[t] "square matrix"',"self::matrix","@alternative",'@role="squarematrix"');(0,sre.AbstractionRules.defineSpecialisedRule_)("abstr-squarematrix","mathspeak.brief","mathspeak.sbrief");(0,sre.AbstractionRules.defineRule_)("abstr-rowvector","mathspeak.default",'[t] count(./children/row/children/*); [t] "dimensional row vector"',"self::matrix","@alternative",'@role="rowvector"');(0,sre.AbstractionRules.defineRule_)("abstr-rowvector","mathspeak.brief",'[t] "row vector"',"self::matrix",
"@alternative",'@role="rowvector"');(0,sre.AbstractionRules.defineSpecialisedRule_)("abstr-rowvector","mathspeak.brief","mathspeak.sbrief");(0,sre.AbstractionRules.defineRule_)("abstr-var-matrix","mathspeak.default",'[t] "n dimensional row vector"',"self::matrix","@alternative",'@role="rowvector"','./children/*/children/*/children/punctuation[@role="ellipsis"]');(0,sre.AbstractionRules.defineRule_)("abstr-matrix","mathspeak.default",'[t] count(children/*); [t] "by";[t] count(children/*[1]/children/*); [t] "matrix"',
"self::matrix","@alternative");(0,sre.AbstractionRules.defineRule_)("abstr-matrix","mathspeak.brief",'[t] "matrix"',"self::matrix","@alternative");(0,sre.AbstractionRules.defineSpecialisedRule_)("abstr-matrix","mathspeak.brief","mathspeak.sbrief");(0,sre.AbstractionRules.defineRule_)("abstr-var-matrix","mathspeak.default",'[t] "n by m dimensional matrix"',"self::matrix","@alternative",'./children/*/children/*/children/punctuation[@role="ellipsis"]');(0,sre.AbstractionRules.defineRule_)("abstr-cases",
"mathspeak.default",'[t] "case statement";[t] "with"; [t] count(children/*); [t] "cases"',"self::cases","@alternative");(0,sre.AbstractionRules.defineRule_)("abstr-cases","mathspeak.brief",'[t] "case statement"',"self::cases","@alternative");(0,sre.AbstractionRules.defineSpecialisedRule_)("abstr-cases","mathspeak.brief","mathspeak.sbrief");(0,sre.AbstractionRules.defineRule_)("abstr-var-cases","mathspeak.default",'[t] "case statement with variable number of cases"',"self::cases","@alternative",'./children/row/children/cell/children/punctuation[@role="ellipsis"]or ./children/line/children/punctuation[@role="ellipsis"]');
(0,sre.AbstractionRules.defineRule_)("abstr-punctuated","mathspeak.default",'[n] content/*[1]; [t] "separated list";[t] "of length"; [t] count(children/*) - count(content/*)',"self::punctuated","@alternative");(0,sre.AbstractionRules.defineRule_)("abstr-punctuated","mathspeak.brief",'[n] content/*[1]; [t] "separated list"',"self::punctuated","@alternative");(0,sre.AbstractionRules.defineSpecialisedRule_)("abstr-punctuated","mathspeak.brief","mathspeak.sbrief");(0,sre.AbstractionRules.defineRule_)("abstr-var-punctuated",
"mathspeak.default",'[n] content/*[1]; [t] "separated list";[t] "of variable length"',"self::punctuated","@alternative",'./children/punctuation[@role="ellipsis"]');(0,sre.AbstractionRules.defineRule_)("abstr-bigop","mathspeak.default","[n] content/*[1]","self::bigop","@alternative","self::*");(0,sre.AbstractionRules.defineRule_)("abstr-integral","mathspeak.default",'[t] "integral"',"self::*","@alternative",'@role="integral"');(0,sre.AbstractionRules.defineRule_)("abstr-relation","mathspeak.default",
"[t] @role (grammar:localRole);","self::relseq","@alternative","count(./children/*)=2");(0,sre.AbstractionRules.defineSpecialisedRule_)("abstr-relation","mathspeak.default","mathspeak.brief");(0,sre.AbstractionRules.defineSpecialisedRule_)("abstr-relation","mathspeak.brief","mathspeak.sbrief");(0,sre.AbstractionRules.defineRule_)("abstr-relation","mathspeak.default",'[t] @role (grammar:localRole); [t] "sequence"; [t] "with"; [t] count(./children/*); [t] "elements"',"self::relseq","@alternative","count(./children/*)>2");
(0,sre.AbstractionRules.defineRule_)("abstr-relation","mathspeak.brief",'[t] @role (grammar:localRole); [t] "sequence"',"self::relseq","@alternative","count(./children/*)>2");(0,sre.AbstractionRules.defineSpecialisedRule_)("abstr-relation","mathspeak.brief","mathspeak.sbrief");(0,sre.AbstractionRules.defineRule_)("abstr-var-relation","mathspeak.default",'[t] @role (grammar:localRole); [t] "sequence"; [t] "with variable number of elements"',"self::relseq","@alternative","count(./children/*)>2",'./children/punctuation[@role="ellipsis"]');
(0,sre.AbstractionRules.defineUniqueRuleAlias_)("abstr-relation","mathspeak.default","self::multirel","@alternative",'@role!="unknown"',"count(./children/*)>2");(0,sre.AbstractionRules.defineUniqueRuleAlias_)("abstr-relation","mathspeak.brief","self::multirel","@alternative",'@role!="unknown"',"count(./children/*)>2");(0,sre.AbstractionRules.defineSpecialisedRule_)("abstr-relation","mathspeak.brief","mathspeak.sbrief");(0,sre.AbstractionRules.defineRuleAlias_)("abstr-var-relation","self::multirel",
"@alternative",'@role!="unknown"',"count(./children/*)>2",'./children/punctuation[@role="ellipsis"]');(0,sre.AbstractionRules.defineRule_)("abstr-multirel","mathspeak.default",'[t] "relation sequence"; [t] "with"; [t] count(./children/*); [t] "elements"',"self::multirel","@alternative","count(./children/*)>2");(0,sre.AbstractionRules.defineRule_)("abstr-multirel","mathspeak.brief",'[t] "relation sequence"',"self::multirel","@alternative","count(./children/*)>2");(0,sre.AbstractionRules.defineSpecialisedRule_)("abstr-multirel",
"mathspeak.brief","mathspeak.sbrief");(0,sre.AbstractionRules.defineRule_)("abstr-var-multirel","mathspeak.default",'[t] "relation sequence with variable number of elements"',"self::multirel","@alternative","count(./children/*)>2",'./children/punctuation[@role="ellipsis"]');(0,sre.AbstractionRules.defineRule_)("abstr-table","mathspeak.default",'[t] "table with"; [t] count(children/*); [t] "rows and";[t] count(children/*[1]/children/*); [t] "columns"',"self::table","@alternative");(0,sre.AbstractionRules.defineSpecialisedRule_)("abstr-table",
"mathspeak.default","mathspeak.brief");(0,sre.AbstractionRules.defineSpecialisedRule_)("abstr-table","mathspeak.brief","mathspeak.sbrief");(0,sre.AbstractionRules.defineRule_)("abstr-line","mathspeak.default",'[t] "in"; [t] @role (grammar:localRole);',"self::line","@alternative");(0,sre.AbstractionRules.defineRule_)("abstr-row","mathspeak.default",'[t] "in"; [t] @role (grammar:localRole);[t] count(preceding-sibling::..); [t] "with";[t] count(children/*); [t] "columns"',"self::row","@alternative",
"*");(0,sre.AbstractionRules.defineSpecialisedRule_)("abstr-row","mathspeak.default","mathspeak.brief");(0,sre.AbstractionRules.defineSpecialisedRule_)("abstr-row","mathspeak.default","mathspeak.sbrief");(0,sre.AbstractionRules.defineRule_)("abstr-cell","mathspeak.default",'[t] "in"; [t] @role (grammar:localRole);',"self::cell","@alternative")};sre.AbstractionRules.getInstance().initializer=[sre.AbstractionRules.initAbstractionRules_];sre.AbstractionSpanish=function(){sre.MathStore.call(this);this.locale="es"};goog.inherits(sre.AbstractionSpanish,sre.MathStore);goog.addSingletonGetter(sre.AbstractionSpanish);sre.AbstractionSpanish.mathStore=sre.AbstractionSpanish.getInstance();sre.AbstractionSpanish.defineRule_=goog.bind(sre.AbstractionSpanish.mathStore.defineRule,sre.AbstractionSpanish.mathStore);sre.AbstractionSpanish.defineRuleAlias_=goog.bind(sre.AbstractionSpanish.mathStore.defineRulesAlias,sre.AbstractionSpanish.mathStore);
sre.AbstractionSpanish.defineSpecialisedRule_=goog.bind(sre.AbstractionSpanish.mathStore.defineSpecialisedRule,sre.AbstractionSpanish.mathStore);sre.AbstractionSpanish.defineUniqueRuleAlias_=goog.bind(sre.AbstractionSpanish.mathStore.defineUniqueRuleAlias,sre.AbstractionSpanish.mathStore);
sre.AbstractionSpanish.initAbstractionSpanish_=function(){(0,sre.AbstractionSpanish.defineRule_)("abstr-collapsed","mathspeak.default",'[n] . (grammar:collapsed); [t] "plegado"',"self::*","@alternative",'not(@alternative="summary")','not(contains(@grammar, "collapsed"))');(0,sre.AbstractionSpanish.defineRule_)("abstr-identifier","mathspeak.default",'[t] "identificador largo"',"self::identifier","@alternative","self::*","self::*","self::*","self::*");(0,sre.AbstractionSpanish.defineRule_)("abstr-identifier",
"mathspeak.default",'[t] "identificador"',"self::identifier",'@alternative="summary"',"@alternative","self::*","self::*","self::*","self::*");(0,sre.AbstractionSpanish.defineRule_)("abstr-identifier","mathspeak.brief",'[t] "identificador"',"self::identifier","@alternative","self::*","self::*","self::*","self::*");(0,sre.AbstractionSpanish.defineSpecialisedRule_)("abstr-identifier","mathspeak.brief","mathspeak.sbrief");(0,sre.AbstractionSpanish.defineRule_)("abstr-number","mathspeak.default",'[t] "n\u00famero largo"',
"self::number","@alternative");(0,sre.AbstractionSpanish.defineRule_)("abstr-number","mathspeak.default",'[t] "n\u00famero"',"self::number","@alternative",'@alternative="summary"');(0,sre.AbstractionSpanish.defineRule_)("abstr-number","mathspeak.brief",'[t] "n\u00famero"',"self::number","@alternative");(0,sre.AbstractionSpanish.defineSpecialisedRule_)("abstr-number","mathspeak.brief","mathspeak.sbrief");(0,sre.AbstractionSpanish.defineRule_)("abstr-mixed-number","mathspeak.default",'[t] "n\u00famero largo mixto"',
"self::number","@alternative",'@role="mixed"');(0,sre.AbstractionSpanish.defineRule_)("abstr-mixed-number","mathspeak.brief",'[t] "numero mixto"',"self::number","@alternative",'@role="mixed"');(0,sre.AbstractionSpanish.defineSpecialisedRule_)("abstr-mixed-number","mathspeak.brief","mathspeak.sbrief");(0,sre.AbstractionSpanish.defineRule_)("abstr-text","mathspeak.default",'[t] "texto"',"self::text","@alternative");(0,sre.AbstractionSpanish.defineRule_)("abstr-function","mathspeak.default",'[t] "expresi\u00f3n funcional"',
"self::function","@alternative","self::*");(0,sre.AbstractionSpanish.defineRule_)("abstr-function","mathspeak.brief",'[t] "funci\u00f3n"',"self::function","@alternative","self::*");(0,sre.AbstractionSpanish.defineSpecialisedRule_)("abstr-function","mathspeak.brief","mathspeak.sbrief");(0,sre.AbstractionSpanish.defineRule_)("abstr-lim","mathspeak.default",'[t] "funci\u00f3n de l\u00edmite"',"self::function","@alternative",'@role="limit function"');(0,sre.AbstractionSpanish.defineRule_)("abstr-lim",
"mathspeak.brief",'[t] "l\u00edmite"',"self::function","@alternative",'@role="limit function"');(0,sre.AbstractionSpanish.defineSpecialisedRule_)("abstr-lim","mathspeak.brief","mathspeak.sbrief");(0,sre.AbstractionSpanish.defineRule_)("abstr-fraction","mathspeak.default",'[t] "fracci\u00f3n"',"self::fraction","@alternative");(0,sre.AbstractionSpanish.defineRule_)("abstr-fraction","mathspeak.brief",'[t] "frac"',"self::fraction","@alternative");(0,sre.AbstractionSpanish.defineSpecialisedRule_)("abstr-fraction",
"mathspeak.brief","mathspeak.sbrief");(0,sre.AbstractionSpanish.defineRule_)("abstr-continued-fraction","mathspeak.default",'[t] "fracci\u00f3n continua"',"self::fraction","@alternative",'children/*[2]/descendant-or-self::*[@role="ellipsis"]',"self::*","self::*");(0,sre.AbstractionSpanish.defineRule_)("abstr-continued-fraction","mathspeak.brief",'[t] "frac continua"',"self::fraction","@alternative",'children/*[2]/descendant-or-self::*[@role="ellipsis"]',"self::*","self::*");(0,sre.AbstractionSpanish.defineSpecialisedRule_)("abstr-continued-fraction",
"mathspeak.brief","mathspeak.sbrief");(0,sre.AbstractionSpanish.defineRule_)("abstr-sqrt","mathspeak.default",'[t] "ra\u00edz cuadrada"',"self::sqrt","@alternative");(0,sre.AbstractionSpanish.defineSpecialisedRule_)("abstr-sqrt","mathspeak.default","mathspeak.brief");(0,sre.AbstractionSpanish.defineSpecialisedRule_)("abstr-sqrt","mathspeak.brief","mathspeak.sbrief");(0,sre.AbstractionSpanish.defineRule_)("abstr-sqrt-nested","mathspeak.default",'[t] "ra\u00edz cuadrada anidada"',"self::sqrt","@alternative",
"children/*/descendant-or-self::sqrt or children/*/descendant-or-self::root");(0,sre.AbstractionSpanish.defineSpecialisedRule_)("abstr-sqrt-nested","mathspeak.default","mathspeak.brief");(0,sre.AbstractionSpanish.defineSpecialisedRule_)("abstr-sqrt-nested","mathspeak.brief","mathspeak.sbrief");(0,sre.AbstractionSpanish.defineRule_)("abstr-root","mathspeak.default",'[t] "ra\u00edz del \u00edndice"; [n] children/*[1]; [t] "finalizar de \u00edndice"',"self::root","@alternative","following-sibling::* or ancestor::*/following-sibling::*");
(0,sre.AbstractionSpanish.defineRule_)("abstr-root","mathspeak.brief",'[t] "ra\u00edz"',"self::root","@alternative");(0,sre.AbstractionSpanish.defineSpecialisedRule_)("abstr-root","mathspeak.brief","mathspeak.sbrief");(0,sre.AbstractionSpanish.defineRule_)("abstr-root-nested","mathspeak.default",'[t] "ra\u00edz anidada del \u00edndice"; [n] children/*[1]',"self::root","@alternative","children/*/descendant-or-self::sqrt or children/*/descendant-or-self::root");(0,sre.AbstractionSpanish.defineRule_)("abstr-root-nested",
"mathspeak.default",'[t] "ra\u00edz anidada del \u00edndice"; [n] children/*[1]; [t] "finalizar de \u00edndice"',"self::root","@alternative","children/*/descendant-or-self::sqrt or children/*/descendant-or-self::root","following-sibling::* or ancestor::*/following-sibling::*");(0,sre.AbstractionSpanish.defineRule_)("abstr-root-nested","mathspeak.brief",'[t] "ra\u00edz anidada"',"self::root","@alternative","children/*/descendant-or-self::sqrt or children/*/descendant-or-self::root");(0,sre.AbstractionSpanish.defineSpecialisedRule_)("abstr-root-nested",
"mathspeak.brief","mathspeak.sbrief");(0,sre.AbstractionSpanish.defineRule_)("abstr-superscript","mathspeak.default",'[t] "potencia"',"self::superscript","@alternative","self::*","self::*","self::*","self::*");(0,sre.AbstractionSpanish.defineSpecialisedRule_)("abstr-superscript","mathspeak.default","mathspeak.brief");(0,sre.AbstractionSpanish.defineSpecialisedRule_)("abstr-superscript","mathspeak.brief","mathspeak.sbrief");(0,sre.AbstractionSpanish.defineRule_)("abstr-subscript","mathspeak.default",
'[t] "sub\u00edndice"',"self::subscript","@alternative","self::*","self::*","self::*");(0,sre.AbstractionSpanish.defineSpecialisedRule_)("abstr-subscript","mathspeak.default","mathspeak.brief");(0,sre.AbstractionSpanish.defineSpecialisedRule_)("abstr-subscript","mathspeak.brief","mathspeak.sbrief");(0,sre.AbstractionSpanish.defineRule_)("abstr-subsup","mathspeak.default",'[t] "potencia con sub\u00edndice"',"self::superscript","@alternative",'name(children/*[1])="subscript"',"self::*","self::*","self::*");
(0,sre.AbstractionSpanish.defineSpecialisedRule_)("abstr-subsup","mathspeak.default","mathspeak.brief");(0,sre.AbstractionSpanish.defineSpecialisedRule_)("abstr-subsup","mathspeak.brief","mathspeak.sbrief");(0,sre.AbstractionSpanish.defineRule_)("abstr-infixop","mathspeak.default",'[t] @role (grammar:localRole); [t] "con"; [t] count(./children/*); [t] "elementos"',"self::infixop","@alternative");(0,sre.AbstractionSpanish.defineRule_)("abstr-infixop","mathspeak.default",'[t] @role (grammar:localRole); [t] "con una cantidad variable de elementos"',
"self::infixop","@alternative","count(./children/*)>2",'./children/punctuation[@role="ellipsis"]');(0,sre.AbstractionSpanish.defineRule_)("abstr-infixop","mathspeak.brief","[t] @role (grammar:localRole)","self::infixop","@alternative");(0,sre.AbstractionSpanish.defineSpecialisedRule_)("abstr-infixop","mathspeak.brief","mathspeak.sbrief");(0,sre.AbstractionSpanish.defineRule_)("abstr-addition","mathspeak.default",'[t] "suma con"; [t] count(./children/*); [t] "sumandos"',"self::infixop","@alternative",
'@role="addition"');(0,sre.AbstractionSpanish.defineRule_)("abstr-addition","mathspeak.brief",'[t] "suma"',"self::infixop","@alternative",'@role="addition"');(0,sre.AbstractionSpanish.defineSpecialisedRule_)("abstr-addition","mathspeak.brief","mathspeak.sbrief");(0,sre.AbstractionSpanish.defineRule_)("abstr-var-addition","mathspeak.default",'[t] "suma con n\u00famero variable de sumandos"',"self::infixop","@alternative",'@role="addition"',"count(./children/*)>2",'./children/punctuation[@role="ellipsis"]');
(0,sre.AbstractionSpanish.defineRule_)("abstr-multiplication","mathspeak.default",'[t] "producto con"; [t] count(./children/*); [t] "factores"',"self::infixop","@alternative",'@role="multiplication"');(0,sre.AbstractionSpanish.defineRule_)("abstr-multiplication","mathspeak.brief",'[t] "producto"',"self::infixop","@alternative",'@role="multiplication"');(0,sre.AbstractionSpanish.defineSpecialisedRule_)("abstr-multiplication","mathspeak.brief","mathspeak.sbrief");(0,sre.AbstractionSpanish.defineRuleAlias_)("abstr-multiplication",
"self::infixop","@alternative",'@role="implicit"');(0,sre.AbstractionSpanish.defineRule_)("abstr-var-multiplication","mathspeak.default",'[t] "producto con una cantidad variable de factores"',"self::infixop","@alternative",'@role="multiplication"',"count(./children/*)>2",'./children/punctuation[@role="ellipsis"]');(0,sre.AbstractionSpanish.defineRuleAlias_)("abstr-var-multiplication","self::infixop","@alternative",'@role="implicit"',"count(./children/*)>2",'./children/punctuation[@role="ellipsis"]');
(0,sre.AbstractionSpanish.defineRule_)("abstr-vector","mathspeak.default",'[t] "vector de dimensi\u00f3n"; [t] count(./children/*)',"self::vector","@alternative");(0,sre.AbstractionSpanish.defineRule_)("abstr-vector","mathspeak.brief",'[t] "vector"',"self::vector","@alternative");(0,sre.AbstractionSpanish.defineSpecialisedRule_)("abstr-vector","mathspeak.brief","mathspeak.sbrief");(0,sre.AbstractionSpanish.defineRule_)("abstr-var-vector","mathspeak.default",'[t] "vector de dimensi\u00f3n n"',"self::vector",
"@alternative",'./children/*/children/punctuation[@role="ellipsis"]');(0,sre.AbstractionSpanish.defineRule_)("abstr-binomial","mathspeak.default",'[t] "binomio"',"self::vector","@alternative",'@role="binomial"');(0,sre.AbstractionSpanish.defineSpecialisedRule_)("abstr-binomial","mathspeak.default","mathspeak.brief");(0,sre.AbstractionSpanish.defineSpecialisedRule_)("abstr-binomial","mathspeak.default","mathspeak.sbrief");(0,sre.AbstractionSpanish.defineRule_)("abstr-determinant","mathspeak.default",
'[t] "determinante de dimensi\u00f3n"; [t] count(./children/*)',"self::matrix","@alternative",'@role="determinant"',"self::*");(0,sre.AbstractionSpanish.defineRule_)("abstr-determinant","mathspeak.brief",'[t] "determinante"',"self::matrix","@alternative",'@role="determinant"',"self::*");(0,sre.AbstractionSpanish.defineSpecialisedRule_)("abstr-determinant","mathspeak.brief","mathspeak.sbrief");(0,sre.AbstractionSpanish.defineRule_)("abstr-var-determinant","mathspeak.default",'[t] "determinante de dimensi\u00f3n n"',
"self::matrix","@alternative",'@role="determinant"','./children/*/children/*/children/punctuation[@role="ellipsis"]');(0,sre.AbstractionSpanish.defineRule_)("abstr-squarematrix","mathspeak.default",'[t] "matriz cuadrada de dimensi\u00f3n"; [t] count(./children/*)',"self::matrix","@alternative",'@role="squarematrix"');(0,sre.AbstractionSpanish.defineRule_)("abstr-squarematrix","mathspeak.brief",'[t] "matriz cuadrada"',"self::matrix","@alternative",'@role="squarematrix"');(0,sre.AbstractionSpanish.defineSpecialisedRule_)("abstr-squarematrix",
"mathspeak.brief","mathspeak.sbrief");(0,sre.AbstractionSpanish.defineRule_)("abstr-rowvector","mathspeak.default",'[t] "vector fila de dimensi\u00f3n"; [t] count(./children/row/children/*) ',"self::matrix","@alternative",'@role="rowvector"');(0,sre.AbstractionSpanish.defineRule_)("abstr-rowvector","mathspeak.brief",'[t] "vector fila"',"self::matrix","@alternative",'@role="rowvector"');(0,sre.AbstractionSpanish.defineSpecialisedRule_)("abstr-rowvector","mathspeak.brief","mathspeak.sbrief");(0,sre.AbstractionSpanish.defineRule_)("abstr-var-matrix",
"mathspeak.default",'[t] "vector fila de dimensi\u00f3n n"',"self::matrix","@alternative",'@role="rowvector"','./children/*/children/*/children/punctuation[@role="ellipsis"]');(0,sre.AbstractionSpanish.defineRule_)("abstr-matrix","mathspeak.default",'[t] count(children/*); [t] "por";[t] count(children/*[1]/children/*); [t] "matriz"',"self::matrix","@alternative");(0,sre.AbstractionSpanish.defineRule_)("abstr-matrix","mathspeak.brief",'[t] "matriz"',"self::matrix","@alternative");(0,sre.AbstractionSpanish.defineSpecialisedRule_)("abstr-matrix",
"mathspeak.brief","mathspeak.sbrief");(0,sre.AbstractionSpanish.defineRule_)("abstr-var-matrix","mathspeak.default",'[t] "matriz de dimensi\u00f3n n por m"',"self::matrix","@alternative",'./children/*/children/*/children/punctuation[@role="ellipsis"]');(0,sre.AbstractionSpanish.defineRule_)("abstr-cases","mathspeak.default",'[t] "declaraci\u00f3n de caso";[t] "con"; [t] count(children/*); [t] "casos"',"self::cases","@alternative");(0,sre.AbstractionSpanish.defineRule_)("abstr-cases","mathspeak.brief",
'[t] "declaraci\u00f3n de caso"',"self::cases","@alternative");(0,sre.AbstractionSpanish.defineSpecialisedRule_)("abstr-cases","mathspeak.brief","mathspeak.sbrief");(0,sre.AbstractionSpanish.defineRule_)("abstr-var-cases","mathspeak.default",'[t] "declaraci\u00f3n de caso con n\u00famero variable de casos"',"self::cases","@alternative",'./children/row/children/cell/children/punctuation[@role="ellipsis"]or ./children/line/children/punctuation[@role="ellipsis"]');(0,sre.AbstractionSpanish.defineRule_)("abstr-punctuated",
"mathspeak.default",'[t] "lista separada por"; [n] content/*[1]; [t] "de longitud"; [t] count(children/*) - count(content/*)',"self::punctuated","@alternative");(0,sre.AbstractionSpanish.defineRule_)("abstr-punctuated","mathspeak.brief",'[t] "lista separada por"; [n] content/*[1]',"self::punctuated","@alternative");(0,sre.AbstractionSpanish.defineSpecialisedRule_)("abstr-punctuated","mathspeak.brief","mathspeak.sbrief");(0,sre.AbstractionSpanish.defineRule_)("abstr-var-punctuated","mathspeak.default",
'[t] "lista separada por"; [n] content/*[1]','[t] "de longitud variable"',"self::punctuated","@alternative",'./children/punctuation[@role="ellipsis"]');(0,sre.AbstractionSpanish.defineRule_)("abstr-bigop","mathspeak.default","[n] content/*[1]","self::bigop","@alternative","self::*");(0,sre.AbstractionSpanish.defineRule_)("abstr-integral","mathspeak.default",'[t] "integral"',"self::*","@alternative",'@role="integral"');(0,sre.AbstractionSpanish.defineRule_)("abstr-relation","mathspeak.default","[t] @role (grammar:localRole);",
"self::relseq","@alternative","count(./children/*)=2");(0,sre.AbstractionSpanish.defineSpecialisedRule_)("abstr-relation","mathspeak.default","mathspeak.brief");(0,sre.AbstractionSpanish.defineSpecialisedRule_)("abstr-relation","mathspeak.brief","mathspeak.sbrief");(0,sre.AbstractionSpanish.defineRule_)("abstr-relation","mathspeak.default",'[t] "secuencia de"; [t] @role (grammar:localRole); [t] "con"; [t] count(./children/*); [t] "elementos"',"self::relseq","@alternative","count(./children/*)>2");
(0,sre.AbstractionSpanish.defineRule_)("abstr-relation","mathspeak.brief",'[t] "secuencia de"; [t] @role (grammar:localRole)',"self::relseq","@alternative","count(./children/*)>2");(0,sre.AbstractionSpanish.defineSpecialisedRule_)("abstr-relation","mathspeak.brief","mathspeak.sbrief");(0,sre.AbstractionSpanish.defineRule_)("abstr-var-relation","mathspeak.default",'[t] "secuencia de"; [t] @role (grammar:localRole); [t] "con una cantidad variable de elementos"',"self::relseq","@alternative","count(./children/*)>2",
'./children/punctuation[@role="ellipsis"]');(0,sre.AbstractionSpanish.defineUniqueRuleAlias_)("abstr-relation","mathspeak.default","self::multirel","@alternative",'@role!="unknown"',"count(./children/*)>2");(0,sre.AbstractionSpanish.defineUniqueRuleAlias_)("abstr-relation","mathspeak.brief","self::multirel","@alternative",'@role!="unknown"',"count(./children/*)>2");(0,sre.AbstractionSpanish.defineSpecialisedRule_)("abstr-relation","mathspeak.brief","mathspeak.sbrief");(0,sre.AbstractionSpanish.defineRuleAlias_)("abstr-var-relation",
"self::multirel","@alternative",'@role!="unknown"',"count(./children/*)>2",'./children/punctuation[@role="ellipsis"]');(0,sre.AbstractionSpanish.defineRule_)("abstr-multirel","mathspeak.default",'[t] "secuencia de relaci\u00f3n"; [t] "con"; [t] count(./children/*); [t] "elementos"',"self::multirel","@alternative","count(./children/*)>2");(0,sre.AbstractionSpanish.defineRule_)("abstr-multirel","mathspeak.brief",'[t] "secuencia de relaci\u00f3n"',"self::multirel","@alternative","count(./children/*)>2");
(0,sre.AbstractionSpanish.defineSpecialisedRule_)("abstr-multirel","mathspeak.brief","mathspeak.sbrief");(0,sre.AbstractionSpanish.defineRule_)("abstr-var-multirel","mathspeak.default",'[t] "secuencia de relaci\u00f3n con n\u00famero variable de elementos"',"self::multirel","@alternative","count(./children/*)>2",'./children/punctuation[@role="ellipsis"]');(0,sre.AbstractionSpanish.defineRule_)("abstr-table","mathspeak.default",'[t] "mesa con"; [t] count(children/*); [t] "filas y";[t] count(children/*[1]/children/*); [t] "columnas"',
"self::table","@alternative");(0,sre.AbstractionSpanish.defineSpecialisedRule_)("abstr-table","mathspeak.default","mathspeak.brief");(0,sre.AbstractionSpanish.defineSpecialisedRule_)("abstr-table","mathspeak.brief","mathspeak.sbrief");(0,sre.AbstractionSpanish.defineRule_)("abstr-line","mathspeak.default",'[t] "en"; [t] @role (grammar:localRole);',"self::line","@alternative");(0,sre.AbstractionSpanish.defineRule_)("abstr-row","mathspeak.default",'[t] "en"; [t] @role (grammar:localRole);[t] count(preceding-sibling::..); [t] "con";[t] count(children/*); [t] "columnas"',
"self::row","@alternative","*");(0,sre.AbstractionSpanish.defineSpecialisedRule_)("abstr-row","mathspeak.default","mathspeak.brief");(0,sre.AbstractionSpanish.defineSpecialisedRule_)("abstr-row","mathspeak.default","mathspeak.sbrief");(0,sre.AbstractionSpanish.defineRule_)("abstr-cell","mathspeak.default",'[t] "en"; [t] @role (grammar:localRole);',"self::cell","@alternative")};sre.AbstractionSpanish.getInstance().initializer=[sre.AbstractionSpanish.initAbstractionSpanish_];sre.ClearspeakRules=function(){sre.MathStore.call(this)};goog.inherits(sre.ClearspeakRules,sre.MathStore);goog.addSingletonGetter(sre.ClearspeakRules);sre.ClearspeakRules.mathStore=sre.ClearspeakRules.getInstance();sre.ClearspeakRules.defineRule_=goog.bind(sre.ClearspeakRules.mathStore.defineRule,sre.ClearspeakRules.mathStore);
sre.ClearspeakRules.initClearspeakRules_=function(){(0,sre.ClearspeakRules.defineRule_)("fraction","mathspeak.clearspeak",'[t] "the fraction with numerator"; [n] children/*[1]; [p] (pause:300); [t] "and denominator"; [n] children/*[2]; [p] (pause:500)',"self::fraction");(0,sre.ClearspeakRules.defineRule_)("sqrt","mathspeak.clearspeak",'[t] "the square root of"; [n] children/*[1]; [p] (pause:500)',"self::sqrt")};sre.ClearspeakRules.getInstance().initializer=[sre.ClearspeakRules.initClearspeakRules_];sre.MathmlStoreUtil={};sre.MathmlStoreUtil.matchMathjaxToMathml=function(a){return sre.Engine.getInstance().alternativeHost.querySelector("#"+a.id)};sre.MathmlStoreUtil.retrieveMathjaxExtender=function(a){return(a=sre.MathmlStoreUtil.matchMathjaxToMathml(a))?[a]:[]};sre.MathmlStoreUtil.retrieveMathjaxLeaf=function(a){return(a=sre.MathmlStoreUtil.matchMathjaxToMathml(a))?[a]:[]};
sre.MathmlStoreUtil.checkMathjaxTag=function(a,b){return(a=sre.MathmlStoreUtil.matchMathjaxToMathml(a))&&a.tagName.toUpperCase()==b?[a]:[]};sre.MathmlStoreUtil.checkMathjaxMunder=function(a){return sre.MathmlStoreUtil.checkMathjaxTag(a,"MUNDER")};sre.MathmlStoreUtil.checkMathjaxMover=function(a){return sre.MathmlStoreUtil.checkMathjaxTag(a,"MOVER")};sre.MathmlStoreUtil.checkMathjaxMsub=function(a){return sre.MathmlStoreUtil.checkMathjaxTag(a,"MSUB")};
sre.MathmlStoreUtil.checkMathjaxMsup=function(a){return sre.MathmlStoreUtil.checkMathjaxTag(a,"MSUP")};sre.MathmlStoreUtil.mfencedSeparators=function(a,b){var c=sre.MathUtil.nextSeparatorFunction(b);return function(){return c?[sre.AuditoryDescription.create({text:c()},{translate:!0})]:[]}};
sre.MathmlStoreUtil.contentIterator=function(a,b){var c=0<a.length?sre.XpathUtil.evalXPath("../../content/*",a[0]):[];return function(){var a=c.shift(),e=b?[sre.AuditoryDescription.create({text:b},{translate:!0})]:[];if(!a)return e;a=sre.SpeechRuleEngine.getInstance().evaluateNode(a);return e.concat(a)}};sre.StoreUtil={};sre.StoreUtil.nodeCounter=function(a,b){var c=a.length,d=0,e=b;b||(e="");return function(){d<c&&(d+=1);return e+" "+d}};sre.EmacspeakRules=function(){sre.MathStore.call(this)};goog.inherits(sre.EmacspeakRules,sre.MathStore);goog.addSingletonGetter(sre.EmacspeakRules);sre.EmacspeakRules.mathStore=sre.EmacspeakRules.getInstance();sre.EmacspeakRules.defineRule_=goog.bind(sre.EmacspeakRules.mathStore.defineRule,sre.EmacspeakRules.mathStore);sre.EmacspeakRules.defineRuleAlias_=goog.bind(sre.EmacspeakRules.mathStore.defineRuleAlias,sre.EmacspeakRules.mathStore);
sre.EmacspeakRules.addContextFunction_=goog.bind(sre.EmacspeakRules.mathStore.contextFunctions.add,sre.EmacspeakRules.mathStore.contextFunctions);sre.EmacspeakRules.addCustomQuery_=goog.bind(sre.EmacspeakRules.mathStore.customQueries.add,sre.EmacspeakRules.mathStore.customQueries);sre.EmacspeakRules.addCustomString_=goog.bind(sre.EmacspeakRules.mathStore.customStrings.add,sre.EmacspeakRules.mathStore.customStrings);
sre.EmacspeakRules.initCustomFunctions_=function(){(0,sre.EmacspeakRules.addContextFunction_)("CTXFnodeCounter",sre.StoreUtil.nodeCounter);(0,sre.EmacspeakRules.addContextFunction_)("CTXFcontentIterator",sre.MathmlStoreUtil.contentIterator);(0,sre.EmacspeakRules.addCustomQuery_)("CQFvulgarFractionSmall",sre.MathspeakUtil.isSmallVulgarFraction);(0,sre.EmacspeakRules.addCustomString_)("CSFvulgarFraction",sre.MathspeakUtil.vulgarFraction)};
sre.EmacspeakRules.initSemanticRules_=function(){(0,sre.EmacspeakRules.defineRule_)("stree","emacspeak.default","[n] ./*[1]","self::stree");(0,sre.EmacspeakRules.defineRule_)("multrel","emacspeak.default",'[t] "multirelation"; [m] children/* (sepFunc:CTXFcontentIterator)',"self::multirel");(0,sre.EmacspeakRules.defineRule_)("variable-equality","emacspeak.default",'[t] "equation sequence"; [m] children/* (context:"part",ctxtFunc:CTXFnodeCounter,sepFunc:CTXFcontentIterator)','self::relseq[@role="equality"]',
"count(./children/*)>2",'./children/punctuation[@role="ellipsis"]');(0,sre.EmacspeakRules.defineRule_)("multi-equality","emacspeak.default",'[t] "equation sequence"; [m] children/* (context:"part",ctxtFunc:CTXFnodeCounter,sepFunc:CTXFcontentIterator)','self::relseq[@role="equality"]',"count(./children/*)>2");(0,sre.EmacspeakRules.defineRule_)("multi-equality","emacspeak.short",'[t] "equation sequence"; [m] children/* (sepFunc:CTXFcontentIterator)','self::relseq[@role="equality"]',"count(./children/*)>2");
(0,sre.EmacspeakRules.defineRule_)("equality","emacspeak.default",'[t] "equation"; [t] "left hand side"; [n] children/*[1];[p] (pause:200); [n] content/*[1] (pause:200);[t] "right hand side"; [n] children/*[2]','self::relseq[@role="equality"]',"count(./children/*)=2");(0,sre.EmacspeakRules.defineRule_)("simple-equality","emacspeak.default","[n] children/*[1]; [p] (pause:200); [n] content/*[1] (pause:200);[n] children/*[2]",'self::relseq[@role="equality"]',"count(./children/*)=2","./children/identifier or ./children/number");
(0,sre.EmacspeakRules.defineRule_)("simple-equality2","emacspeak.default","[n] children/*[1]; [p] (pause:200); [n] content/*[1] (pause:200);[n] children/*[2]",'self::relseq[@role="equality"]',"count(./children/*)=2","./children/function or ./children/appl");(0,sre.EmacspeakRules.defineRule_)("relseq","emacspeak.default","[m] children/* (sepFunc:CTXFcontentIterator)","self::relseq");(0,sre.EmacspeakRules.defineRule_)("implicit","emacspeak.default","[m] children/*","self::infixop",'@role="implicit"',
'children/*[1][@role="latinletter"] or children/*[1][@role="greekletter"] or children/*[1][@role="otherletter"] or name(children/*[1])="number"','children/*[2][@role="latinletter"] or children/*[2][@role="greekletter"] or children/*[2][@role="otherletter"] or name(children/*[2])="number"');(0,sre.EmacspeakRules.defineRule_)("binary-operation","emacspeak.default","[p] (pause:100); [m] children/* (sepFunc:CTXFcontentIterator); [p] (pause:100);","self::infixop");(0,sre.EmacspeakRules.defineRule_)("variable-addition",
"emacspeak.default",'[t] "sum with variable number of summands";[p] (pause:400); [m] children/* (sepFunc:CTXFcontentIterator)','self::infixop[@role="addition"]',"count(children/*)>2",'children/punctuation[@role="ellipsis"]');(0,sre.EmacspeakRules.defineRule_)("prefix","emacspeak.default",'[t] "prefix"; [n] text(); [t] "of" (pause 150);[n] children/*[1]',"self::prefixop");(0,sre.EmacspeakRules.defineRule_)("negative","emacspeak.default",'[t] "negative"; [n] children/*[1]',"self::prefixop",'self::prefixop[@role="negative"]');
(0,sre.EmacspeakRules.defineRule_)("postfix","emacspeak.default",'[n] children/*[1]; [t] "postfix"; [n] text() (pause 300)',"self::postfixop");(0,sre.EmacspeakRules.defineRule_)("identifier","emacspeak.default","[n] text()","self::identifier");(0,sre.EmacspeakRules.defineRule_)("number","emacspeak.default","[n] text()","self::number");(0,sre.EmacspeakRules.defineRule_)("font","mathspeak.default","[t] @font; [n] . (grammar:ignoreFont=@font)","self::*","@font",'not(contains(@grammar, "ignoreFont"))',
'@font!="normal"');(0,sre.EmacspeakRules.defineRule_)("font-identifier-short","emacspeak.default","[t] @font; [n] CQFhideFont; [t] CSFshowFont","self::identifier","string-length(text())=1","@font",'@font="normal"','""=translate(text(), "abcdefghijklmnopqrstuvwxyz\u03b1\u03b2\u03b3\u03b4\u03b5\u03b6\u03b7\u03b8\u03b9\u03ba\u03bb\u03bc\u03bd\u03be\u03bf\u03c0\u03c1\u03c2\u03c3\u03c4\u03c5\u03c6\u03c7\u03c8\u03c9ABCDEFGHIJKLMNOPQRSTUVWXYZ\u0391\u0392\u0393\u0394\u0395\u0396\u0397\u0398\u0399\u039a\u039b\u039c\u039d\u039e\u039f\u03a0\u03a1\u03a3\u03a3\u03a4\u03a5\u03a6\u03a7\u03a8\u03a9", "")',
'@role!="unit"');(0,sre.EmacspeakRules.defineRule_)("font-identifier","mathspeak.default","[t] @font; [n] . (grammar:ignoreFont=@font)","self::identifier","string-length(text())=1","@font",'@font="normal"','not(contains(@grammar, "ignoreFont"))','@role!="unit"');(0,sre.EmacspeakRules.defineRule_)("omit-font","mathspeak.default","[n] . (grammar:ignoreFont=@font)","self::identifier","string-length(text())=1","@font",'not(contains(@grammar, "ignoreFont"))','@font="italic"');(0,sre.EmacspeakRules.defineRule_)("simple-fraction",
"emacspeak.default",'[p] (pause:100); [n] children/*[1] (rate:0.35); [t] "over"; [n] children/*[2] (rate:-0.35); [p] (pause:100)',"self::fraction",'name(children/*[1])="number" or name(children/*[1])="identifier"','name(children/*[2])="number" or name(children/*[2])="identifier"');(0,sre.EmacspeakRules.defineRule_)("vulgar-fraction","emacspeak.default","[t] CSFvulgarFraction","self::fraction",'@role="vulgar"',"CQFvulgarFractionSmall");(0,sre.EmacspeakRules.defineRule_)("fraction","emacspeak.default",
'[p] (pause:250); [n] children/*[1] (rate:0.35); [p] (pause:250); [t] "divided by"; [p] (pause:250); [n] children/*[2] (rate:-0.35); [p] (pause:250)',"self::fraction");(0,sre.EmacspeakRules.defineRule_)("superscript","emacspeak.default",'[n] children/*[1]; [t] "super"; [n] children/*[2] (pitch:0.35);[p] (pause:300)',"self::superscript");(0,sre.EmacspeakRules.defineRule_)("subscript","emacspeak.default",'[n] children/*[1]; [t] "sub"; [n] children/*[2] (pitch:-0.35);[p] (pause:300)',"self::subscript");
(0,sre.EmacspeakRules.defineRule_)("ellipsis","emacspeak.default",'[p] (pause:200); [t] "ellipsis"; [p] (pause:300)',"self::punctuation",'self::punctuation[@role="ellipsis"]');(0,sre.EmacspeakRules.defineRule_)("fence-single","emacspeak.default","[n] text()","self::punctuation",'self::punctuation[@role="openfence"]');(0,sre.EmacspeakRules.defineRuleAlias_)("fence-single","self::punctuation",'self::punctuation[@role="closefence"]');(0,sre.EmacspeakRules.defineRuleAlias_)("fence-single","self::punctuation",
'self::punctuation[@role="vbar"]');(0,sre.EmacspeakRules.defineRuleAlias_)("fence-single","self::punctuation",'self::punctuation[@role="application"]');(0,sre.EmacspeakRules.defineRule_)("omit-empty","emacspeak.default","[p] (pause:100)","self::empty");(0,sre.EmacspeakRules.defineRule_)("fences-open-close","emacspeak.default","[p] (pause:200); [n] children/*[1] (rate:0.35); [p] (pause:200)","self::fenced",'@role="leftright"');(0,sre.EmacspeakRules.defineRule_)("fences-open-close-in-appl","emacspeak.default",
"[p] (pause:200); [n] children/*[1]; [p] (pause:200);",'self::fenced[@role="leftright"]',"./parent::children/parent::appl");(0,sre.EmacspeakRules.defineRule_)("fences-neutral","emacspeak.default",'[p] (pause:100); [t] "absolute value of"; [n] children/*[1];[p] (pause:350);',"self::fenced",'self::fenced[@role="neutral"]');(0,sre.EmacspeakRules.defineRule_)("omit-fences","emacspeak.default","[p] (pause:500); [n] children/*[1]; [p] (pause:200);","self::fenced");(0,sre.EmacspeakRules.defineRule_)("matrix",
"emacspeak.default",'[t] "matrix"; [m] children/* (ctxtFunc:CTXFnodeCounter,context:"row",pause:100)',"self::matrix");(0,sre.EmacspeakRules.defineRule_)("matrix-row","emacspeak.default",'[m] children/* (ctxtFunc:CTXFnodeCounter,context:"column",pause:100)','self::row[@role="matrix"]');(0,sre.EmacspeakRules.defineRule_)("matrix-cell","emacspeak.default","[n] children/*[1]",'self::cell[@role="matrix"]');(0,sre.EmacspeakRules.defineRule_)("vector","emacspeak.default",'[t] "vector"; [m] children/* (ctxtFunc:CTXFnodeCounter,context:"element",pause:100)',
"self::vector");(0,sre.EmacspeakRules.defineRule_)("cases","emacspeak.default",'[t] "case statement"; [m] children/* (ctxtFunc:CTXFnodeCounter,context:"case",pause:100)',"self::cases");(0,sre.EmacspeakRules.defineRule_)("cases-row","emacspeak.default","[m] children/*",'self::row[@role="cases"]');(0,sre.EmacspeakRules.defineRule_)("cases-cell","emacspeak.default","[n] children/*[1]",'self::cell[@role="cases"]');(0,sre.EmacspeakRules.defineRule_)("row","emacspeak.default",'[m] ./* (ctxtFunc:CTXFnodeCounter,context:"column",pause:100)',
"self::row");(0,sre.EmacspeakRules.defineRule_)("cases-end","emacspeak.default",'[t] "case statement"; [m] children/* (ctxtFunc:CTXFnodeCounter,context:"case",pause:100);[t] "end cases"',"self::cases","following-sibling::*");(0,sre.EmacspeakRules.defineRule_)("multiline","emacspeak.default",'[t] "multiline equation";[m] children/* (ctxtFunc:CTXFnodeCounter,context:"line",pause:100)',"self::multiline");(0,sre.EmacspeakRules.defineRule_)("line","emacspeak.default","[m] children/*","self::line");(0,sre.EmacspeakRules.defineRule_)("table",
"emacspeak.default",'[t] "multiline equation";[m] children/* (ctxtFunc:CTXFnodeCounter,context:"row",pause:200)',"self::table");(0,sre.EmacspeakRules.defineRule_)("table-row","emacspeak.default","[m] children/* (pause:100)",'self::row[@role="table"]');(0,sre.EmacspeakRules.defineRuleAlias_)("cases-cell",'self::cell[@role="table"]');(0,sre.EmacspeakRules.defineRule_)("end-punct","emacspeak.default","[m] children/*; [p] (pause:300)","self::punctuated",'@role="endpunct"');(0,sre.EmacspeakRules.defineRule_)("start-punct",
"emacspeak.default","[n] content/*[1]; [p] (pause:200); [m] children/*[position()>1]","self::punctuated",'@role="startpunct"');(0,sre.EmacspeakRules.defineRule_)("integral-punct","emacspeak.default","[n] children/*[1] (rate:0.2); [n] children/*[3] (rate:0.2)","self::punctuated",'@role="integral"');(0,sre.EmacspeakRules.defineRule_)("punctuated","emacspeak.default","[m] children/* (pause:100)","self::punctuated");(0,sre.EmacspeakRules.defineRule_)("function","emacspeak.default","[n] text()","self::function");
(0,sre.EmacspeakRules.defineRule_)("appl","emacspeak.default","[n] children/*[1]; [n] content/*[1]; [n] children/*[2]","self::appl");(0,sre.EmacspeakRules.defineRule_)("sum-only","emacspeak.default",'[n] children/*[1]; [t] "from"; [n] children/*[2]; [t] "to";[n] children/*[3]',"self::limboth",'@role="sum" or @role="integral"');(0,sre.EmacspeakRules.defineRule_)("limboth","emacspeak.default",'[n] children/*[1]; [p] (pause 100); [t] "over"; [n] children/*[2];[t] "under"; [n] children/*[3]; [p] (pause 250);',
"self::limboth");(0,sre.EmacspeakRules.defineRule_)("limlower","emacspeak.default",'[n] children/*[1]; [t] "over"; [n] children/*[2];',"self::limlower");(0,sre.EmacspeakRules.defineRule_)("limupper","emacspeak.default",'[n] children/*[1]; [t] "under"; [n] children/*[2];',"self::limupper");(0,sre.EmacspeakRules.defineRule_)("largeop","emacspeak.default","[n] text()","self::largeop");(0,sre.EmacspeakRules.defineRule_)("bigop","emacspeak.default",'[n] children/*[1]; [p] (pause 100); [t] "over"; [n] children/*[2];[p] (pause 250);',
"self::bigop");(0,sre.EmacspeakRules.defineRule_)("integral","emacspeak.default","[n] children/*[1]; [p] (pause 100); [n] children/*[2];[p] (pause 200); [n] children/*[3] (rate:0.35);","self::integral");(0,sre.EmacspeakRules.defineRule_)("sqrt","emacspeak.default",'[t] "Square root of"; [n] children/*[1] (rate:0.35); [p] (pause:400)',"self::sqrt");(0,sre.EmacspeakRules.defineRule_)("square","emacspeak.default",'[n] children/*[1]; [t] "squared" (pitch:0.35); [p] (pause:200)',"self::superscript","children/*[2][text()=2]",
'name(./children/*[1])!="text"');(0,sre.EmacspeakRules.defineRule_)("cube","emacspeak.default",'[n] children/*[1]; [t] "cubed" (pitch:0.35); [p] (pause:200)',"self::superscript","children/*[2][text()=3]",'name(./children/*[1])!="text"');(0,sre.EmacspeakRules.defineRule_)("root","emacspeak.default",'[t] "root of order"; [n] children/*[1];[t] "over"; [n] children/*[1] (rate:0.35); [p] (pause:400)',"self::root");(0,sre.EmacspeakRules.defineRule_)("text-no-mult","emacspeak.default","[n] children/*[1]; [p] (pause:200); [n] children/*[2]",
"self::infixop","children/text");(0,sre.EmacspeakRules.defineRule_)("text","emacspeak.default","[n] text(); [p] (pause:200)","self::text");(0,sre.EmacspeakRules.defineRule_)("unit","emacspeak.default","[t] text() (annotation:unit, preprocess)","self::identifier",'@role="unit"');(0,sre.EmacspeakRules.defineRule_)("unit-square","emacspeak.default",'[t] "square"; [n] children/*[1]',"self::superscript",'@role="unit"',"children/*[2][text()=2]",'name(children/*[1])="identifier"');(0,sre.EmacspeakRules.defineRule_)("unit-cubic",
"emacspeak.default",'[t] "cubic"; [n] children/*[1]',"self::superscript",'@role="unit"',"children/*[2][text()=3]",'name(children/*[1])="identifier"');(0,sre.EmacspeakRules.defineRule_)("reciprocal","emacspeak.default",'[t] "reciprocal"; [n] children/*[1]',"self::superscript",'@role="unit"','name(children/*[1])="identifier"','name(children/*[2])="prefixop"','children/*[2][@role="negative"]',"children/*[2]/children/*[1][text()=1]",'count(preceding-sibling::*)=0 or preceding-sibling::*[@role!="unit"]');
(0,sre.EmacspeakRules.defineRule_)("reciprocal","emacspeak.default",'[t] "per"; [n] children/*[1]',"self::superscript",'@role="unit"','name(children/*[1])="identifier"','name(children/*[2])="prefixop"','children/*[2][@role="negative"]',"children/*[2]/children/*[1][text()=1]",'preceding-sibling::*[@role="unit"]');(0,sre.EmacspeakRules.defineRule_)("unit-combine","emacspeak.default","[m] children/*","self::infixop",'@role="unit"');(0,sre.EmacspeakRules.defineRule_)("unit-divide","emacspeak.default",
'[n] children/*[1] (pitch:0.3); [t] "per"; [n] children/*[2] (pitch:-0.3)',"self::fraction",'@role="unit"')};sre.EmacspeakRules.getInstance().initializer=[sre.EmacspeakRules.initCustomFunctions_,sre.EmacspeakRules.initSemanticRules_];sre.MathmlStore=function(){sre.MathStore.call(this)};goog.inherits(sre.MathmlStore,sre.MathStore);goog.addSingletonGetter(sre.MathmlStore);sre.MathmlStore.prototype.defineMathmlRule=function(a,b,c){this.defineRule(a,b,c,"self::mathml:"+a)};sre.MathmlStore.prototype.defineDefaultMathmlRule=function(a,b){this.defineRule(a,"default.default",b,"self::mathml:"+a)};sre.MathmlStoreRules=function(){sre.MathmlStore.call(this)};goog.inherits(sre.MathmlStoreRules,sre.MathmlStore);goog.addSingletonGetter(sre.MathmlStoreRules);sre.MathmlStoreRules.mathStore=sre.MathmlStoreRules.getInstance();sre.MathmlStoreRules.defineDefaultMathmlRule_=goog.bind(sre.MathmlStoreRules.mathStore.defineDefaultMathmlRule,sre.MathmlStoreRules.mathStore);sre.MathmlStoreRules.defineRule_=goog.bind(sre.MathmlStoreRules.mathStore.defineRule,sre.MathmlStoreRules.mathStore);
sre.MathmlStoreRules.defineRuleAlias_=goog.bind(sre.MathmlStoreRules.mathStore.defineRuleAlias,sre.MathmlStoreRules.mathStore);sre.MathmlStoreRules.addContextFunction_=goog.bind(sre.MathmlStoreRules.mathStore.contextFunctions.add,sre.MathmlStoreRules.mathStore.contextFunctions);sre.MathmlStoreRules.addCustomQuery_=goog.bind(sre.MathmlStoreRules.mathStore.customQueries.add,sre.MathmlStoreRules.mathStore.customQueries);
sre.MathmlStoreRules.initCustomFunctions_=function(){(0,sre.MathmlStoreRules.addContextFunction_)("CTXFnodeCounter",sre.StoreUtil.nodeCounter);(0,sre.MathmlStoreRules.addContextFunction_)("CTXFmfSeparators",sre.MathmlStoreUtil.mfencedSeparators);(0,sre.MathmlStoreRules.addCustomQuery_)("CQFextender",sre.MathmlStoreUtil.retrieveMathjaxExtender);(0,sre.MathmlStoreRules.addCustomQuery_)("CQFmathmlmunder",sre.MathmlStoreUtil.checkMathjaxMunder);(0,sre.MathmlStoreRules.addCustomQuery_)("CQFmathmlmover",
sre.MathmlStoreUtil.checkMathjaxMover);(0,sre.MathmlStoreRules.addCustomQuery_)("CQFmathmlmsub",sre.MathmlStoreUtil.checkMathjaxMsub);(0,sre.MathmlStoreRules.addCustomQuery_)("CQFmathmlmsup",sre.MathmlStoreUtil.checkMathjaxMsup);(0,sre.MathmlStoreRules.addCustomQuery_)("CQFlookupleaf",sre.MathmlStoreUtil.retrieveMathjaxLeaf)};
sre.MathmlStoreRules.initDefaultRules_=function(){(0,sre.MathmlStoreRules.defineDefaultMathmlRule_)("math","[m] ./*");(0,sre.MathmlStoreRules.defineDefaultMathmlRule_)("semantics","[n] ./*[1]");(0,sre.MathmlStoreRules.defineDefaultMathmlRule_)("mspace","[p] (pause:250)");(0,sre.MathmlStoreRules.defineDefaultMathmlRule_)("mstyle","[m] ./*");(0,sre.MathmlStoreRules.defineDefaultMathmlRule_)("mpadded","[m] ./*");(0,sre.MathmlStoreRules.defineDefaultMathmlRule_)("merror","[m] ./*");(0,sre.MathmlStoreRules.defineDefaultMathmlRule_)("mphantom",
"[m] ./*");(0,sre.MathmlStoreRules.defineDefaultMathmlRule_)("mtext","[t] text(); [p] (pause:200)");(0,sre.MathmlStoreRules.defineDefaultMathmlRule_)("mi","[n] text()");(0,sre.MathmlStoreRules.defineDefaultMathmlRule_)("mo","[n] text() (rate:-0.1)");(0,sre.MathmlStoreRules.defineDefaultMathmlRule_)("mn","[n] text()");(0,sre.MathmlStoreRules.defineRule_)("mtext-variant","default.default",'[t] "begin"; [t] @mathvariant (pause:150);[t] text() (pause:150); [t] "end"; [t] @mathvariant (pause:200)',"self::mathml:mtext",
"@mathvariant",'@mathvariant!="normal"');(0,sre.MathmlStoreRules.defineRule_)("mi-variant","default.default","[t] @mathvariant; [n] text()","self::mathml:mi","@mathvariant",'@mathvariant!="normal"');(0,sre.MathmlStoreRules.defineRuleAlias_)("mi-variant","self::mathml:mn","@mathvariant",'@mathvariant!="normal"');(0,sre.MathmlStoreRules.defineRule_)("mo-variant","default.default","[t] @mathvariant; [n] text() (rate:-0.1)","self::mathml:mo","@mathvariant",'@mathvariant!="normal"');(0,sre.MathmlStoreRules.defineDefaultMathmlRule_)("ms",
'[t] "string" (pitch:0.5, rate:0.5); [t] text()');(0,sre.MathmlStoreRules.defineRule_)("unit","default.default",'[t] text() (grammar:annotation="unit":translate)',"self::mathml:mi",'@class="MathML-Unit"');(0,sre.MathmlStoreRules.defineDefaultMathmlRule_)("msup",'[n] ./*[1]; [t] "super";[n] ./*[2] (pitch:0.35); [p] (pause:300)');(0,sre.MathmlStoreRules.defineDefaultMathmlRule_)("msubsup",'[n] ./*[1]; [t] "sub"; [n] ./*[2] (pitch:-0.35); [p] (pause:200);[t] "super"; [n] ./*[3] (pitch:0.35); [p] (pause:300)');
(0,sre.MathmlStoreRules.defineDefaultMathmlRule_)("msub",'[n] ./*[1]; [t] "sub"; [n] ./*[2] (pitch:-0.35); [p] (pause:300)');(0,sre.MathmlStoreRules.defineDefaultMathmlRule_)("mover",'[n] ./*[2] (pitch:0.35); [p] (pause:200); [t] "over"; [n] ./*[1]; [p] (pause:400)');(0,sre.MathmlStoreRules.defineDefaultMathmlRule_)("munder",'[n] ./*[2] (pitch:-0.35); [t] "under"; [n] ./*[1]; [p] (pause:400)');(0,sre.MathmlStoreRules.defineDefaultMathmlRule_)("munderover",'[n] ./*[2] (pitch:-0.35); [t] "under and"; [n] ./*[3] (pitch:0.35); [t] "over"; [n] ./*[1]; [p] (pause:400)');
(0,sre.MathmlStoreRules.defineDefaultMathmlRule_)("mrow","[m] ./*");(0,sre.MathmlStoreRules.defineDefaultMathmlRule_)("msqrt",'[t] "Square root of"; [m] ./* (rate:0.2); [p] (pause:400)');(0,sre.MathmlStoreRules.defineDefaultMathmlRule_)("mroot",'[t] "root of order"; [n] ./*[2]; [t] "of";[n] ./*[1] (rate:0.2); [p] (pause:400)');(0,sre.MathmlStoreRules.defineDefaultMathmlRule_)("mfrac",' [p] (pause:400); [n] ./*[1] (pitch:0.3); [t] "divided by"; [n] ./*[2] (pitch:-0.3); [p] (pause:400)');(0,sre.MathmlStoreRules.defineRule_)("mfrac",
"default.short",'[p] (pause:200); [t] "start frac";[n] ./*[1] (pitch:0.3); [t] "over"; [n] ./*[2] (pitch:-0.3); [p] (pause:400); [t] "end frac"',"self::mathml:mfrac");(0,sre.MathmlStoreRules.defineRule_)("mfenced-single","default.default","[n] @open; [m] ./* (separator:@separators); [n] @close","self::mathml:mfenced","@open","@close","string-length(string(@separators))=1");(0,sre.MathmlStoreRules.defineRule_)("mfenced-single","default.default",'[t] "(" (grammar:translate); [m] ./* (separator:@separators); [n] @close',
"self::mathml:mfenced","not(@open)","@close","string-length(string(@separators))=1");(0,sre.MathmlStoreRules.defineRule_)("mfenced-single","default.default",'[t] "(" (grammar:translate); [m] ./* (separator:@separators); [t] ")" (grammar:translate)',"self::mathml:mfenced","not(@open)","not(@close)","string-length(string(@separators))=1");(0,sre.MathmlStoreRules.defineRule_)("mfenced-single","default.default",'[n] @open; [m] ./* (separator:@separators); [t] ")" (grammar:translate)',"self::mathml:mfenced",
"@open","not(@close)","string-length(string(@separators))=1");(0,sre.MathmlStoreRules.defineRule_)("mfenced-omit","default.default","[n] @open; [m] ./*; [n] @close","self::mathml:mfenced","@separators","@open","@close",'string(@separators)="" or string(@separators)=" "');(0,sre.MathmlStoreRules.defineRule_)("mfenced-omit","default.default",'[t] "(" (grammar:translate); [m] ./*; [n] @close',"self::mathml:mfenced","@separators","not(@open)","@close",'string(@separators)="" or string(@separators)=" "');
(0,sre.MathmlStoreRules.defineRule_)("mfenced-omit","default.default",'[n] @open; [m] ./*; [t] ")" (grammar:translate)',"self::mathml:mfenced","@separators","@open","not(@close)",'string(@separators)="" or string(@separators)=" "');(0,sre.MathmlStoreRules.defineRule_)("mfenced-omit","default.default",'[t] "(" (grammar:translate); [m] ./*; [t] ")" (grammar:translate)',"self::mathml:mfenced","@separators","not(@open)","not(@close)",'string(@separators)="" or string(@separators)=" "');(0,sre.MathmlStoreRules.defineRule_)("mfenced-comma",
"default.default",'[n] @open; [m] ./* (separator:"comma"); [n] @close',"self::mathml:mfenced","@open","@close","not(@separators)");(0,sre.MathmlStoreRules.defineRule_)("mfenced-comma","default.default",'[t] "(" (grammar:translate); [m] ./* (separator:"comma"); [n] @close',"self::mathml:mfenced","not(@open)","@close","not(@separators)");(0,sre.MathmlStoreRules.defineRule_)("mfenced-comma","default.default",'[n] @open; [m] ./* (separator:"comma"); [t] ")" (grammar:translate)',"self::mathml:mfenced",
"@open","not(@close)","not(@separators)");(0,sre.MathmlStoreRules.defineRule_)("mfenced-comma","default.default",'[t] "(" (grammar:translate); [m] ./* (separator:"comma"); [t] ")" (grammar:translate)',"self::mathml:mfenced","not(@open)","not(@close)","not(@separators)");(0,sre.MathmlStoreRules.defineRule_)("mfenced-multi","default.default","[n] @open; [m] ./* (sepFunc:CTXFmfSeparators, separator:@separators); [n] @close","self::mathml:mfenced","@open","@close","string-length(string(@separators))>1");
(0,sre.MathmlStoreRules.defineRule_)("mfenced-multi","default.default",'[t] "(" (grammar:translate); [m] ./* (sepFunc:CTXFmfSeparators, separator:@separators); [n] @close',"self::mathml:mfenced","not(@open)","@close","string-length(string(@separators))>1");(0,sre.MathmlStoreRules.defineRule_)("mfenced-multi","default.default",'[n] @open; [m] ./* (sepFunc:CTXFmfSeparators, separator:@separators); [t] ")" (grammar:translate)',"self::mathml:mfenced","@open","not(@close)","string-length(string(@separators))>1");
(0,sre.MathmlStoreRules.defineRule_)("mfenced-multi","default.default",'[t] "(" (grammar:translate); [m] ./* (sepFunc:CTXFmfSeparators, separator:@separators); [t] ")" (grammar:translate)',"self::mathml:mfenced","not(@open)","not(@close)","string-length(string(@separators))>1");(0,sre.MathmlStoreRules.defineRule_)("mtable","default.default",'[t] "matrix"; [m] ./* (ctxtFunc:CTXFnodeCounter,context:"row",pause:100)',"self::mathml:mtable");(0,sre.MathmlStoreRules.defineRule_)("mtr","default.default",
'[m] ./* (ctxtFunc:CTXFnodeCounter,context:"column",pause:100)',"self::mathml:mtr");(0,sre.MathmlStoreRules.defineRule_)("mtd","default.default","[m] ./*","self::mathml:mtd");(0,sre.MathmlStoreRules.defineRule_)("mtable","default.superbrief",'[t] count(child::mathml:mtr); [t] "by";[t] count(child::mathml:mtr[1]/mathml:mtd); [t] "matrix";',"self::mathml:mtable");(0,sre.MathmlStoreRules.defineRule_)("mtable","default.short",'[t] "matrix"; [m] ./*',"self::mathml:mtable");(0,sre.MathmlStoreRules.defineRule_)("mtr",
"default.short","[m] ./*","self::mathml:mtr");(0,sre.MathmlStoreRules.defineRule_)("mtd","default.short",'[t] "Element"; [t] count(./preceding-sibling::mathml:mtd)+1;[t] count(./parent::mathml:mtr/preceding-sibling::mathml:mtr)+1;[p] (pause:500); [m] ./*',"self::mathml:mtd");(0,sre.MathmlStoreRules.defineRule_)("mmultiscripts-4","default.default",'[n] ./*[1]; [p] (pause:200);[t] "left sub"; [n] ./*[5] (pitch:-0.35); [p] (pause:200);[t] "left super"; [n] ./*[6] (pitch:0.35); [p] (pause:200);[t] "right sub"; [n] ./*[2] (pitch:-0.35); [p] (pause:200);[t] "right super"; [n] ./*[3] (pitch:0.35); [p] (pause:300);',
"self::mathml:mmultiscripts");(0,sre.MathmlStoreRules.defineRule_)("mmultiscripts-3-1","default.default",'[n] ./*[1]; [p] (pause:200);[t] "left sub"; [n] ./*[5] (pitch:-0.35); [p] (pause:200);[t] "left super"; [n] ./*[6] (pitch:0.35); [p] (pause:200);[t] "right super"; [n] ./*[3] (pitch:0.35); [p] (pause:300);',"self::mathml:mmultiscripts","./mathml:none=./*[2]","./mathml:mprescripts=./*[4]");(0,sre.MathmlStoreRules.defineRule_)("mmultiscripts-3-2","default.default",'[n] ./*[1]; [p] (pause:200);[t] "left sub"; [n] ./*[5] (pitch:-0.35); [p] (pause:200);[t] "left super"; [n] ./*[6] (pitch:0.35); [p] (pause:200);[t] "right sub"; [n] ./*[2] (pitch:-0.35); [p] (pause:200);',
"self::mathml:mmultiscripts","./mathml:none=./*[3]","./mathml:mprescripts=./*[4]");(0,sre.MathmlStoreRules.defineRule_)("mmultiscripts-3-3","default.default",'[n] ./*[1]; [p] (pause:200);[t] "left super"; [n] ./*[6] (pitch:0.35); [p] (pause:200);[t] "right sub"; [n] ./*[2] (pitch:-0.35); [p] (pause:200);[t] "right super"; [n] ./*[3] (pitch:0.35); [p] (pause:300);',"self::mathml:mmultiscripts","./mathml:none=./*[5]","./mathml:mprescripts=./*[4]");(0,sre.MathmlStoreRules.defineRule_)("mmultiscripts-3-4",
"default.default",'[n] ./*[1]; [p] (pause:200);[t] "left sub"; [n] ./*[5] (pitch:-0.35); [p] (pause:200);[t] "right sub"; [n] ./*[2] (pitch:-0.35); [p] (pause:200);[t] "right super"; [n] ./*[3] (pitch:0.35); [p] (pause:300);',"self::mathml:mmultiscripts","./mathml:none=./*[6]","./mathml:mprescripts=./*[4]");(0,sre.MathmlStoreRules.defineRule_)("mmultiscripts-2-1","default.default",'[n] ./*[1]; [p] (pause:200);[t] "left sub"; [n] ./*[5] (pitch:-0.35); [p] (pause:200);[t] "left super"; [n] ./*[6] (pitch:0.35); [p] (pause:300);',
"self::mathml:mmultiscripts","./mathml:none=./*[2]","./mathml:none=./*[3]","./mathml:mprescripts=./*[4]");(0,sre.MathmlStoreRules.defineRule_)("mmultiscripts-1-1","default.default",'[n] ./*[1]; [p] (pause:200);[t] "left super"; [n] ./*[6] (pitch:0.35); [p] (pause:300);',"self::mathml:mmultiscripts","./mathml:none=./*[2]","./mathml:none=./*[3]","./mathml:mprescripts=./*[4]","./mathml:none=./*[5]");(0,sre.MathmlStoreRules.defineRule_)("mmultiscripts-1-2","default.default",'[n] ./*[1]; [p] (pause:200);[t] "left sub"; [n] ./*[5] (pitch:-0.35); [p] (pause:200);',
"self::mathml:mmultiscripts","./mathml:none=./*[2]","./mathml:none=./*[3]","./mathml:mprescripts=./*[4]","./mathml:none=./*[6]")};
sre.MathmlStoreRules.initMathjaxRules_=function(){(0,sre.MathmlStoreRules.defineRule_)("mj-math","default.default","[n] ./*[1]/*[1]/*[1]",'self::span[@class="math"]');(0,sre.MathmlStoreRules.defineRule_)("mj-leaf","default.default","[n] CQFlookupleaf",'self::span[@class="mi"]');(0,sre.MathmlStoreRules.defineRuleAlias_)("mj-leaf",'self::span[@class="mo"]');(0,sre.MathmlStoreRules.defineRuleAlias_)("mj-leaf",'self::span[@class="mn"]');(0,sre.MathmlStoreRules.defineRuleAlias_)("mj-leaf",'self::span[@class="mtext"]');
(0,sre.MathmlStoreRules.defineRule_)("mj-mo-ext","default.default","[n] CQFextender",'self::span[@class="mo"]',"./*[1]/*[1]/text()","./*[1]/*[2]/text()");(0,sre.MathmlStoreRules.defineRule_)("mj-texatom","default.default","[n] ./*[1]",'self::span[@class="texatom"]');(0,sre.MathmlStoreRules.defineRule_)("mj-msubsup","default.default",'[n] ./*[1]/*[1]/*[1]; [t] "sub"; [n] ./*[1]/*[3]/*[1] (pitch:-0.35);[p] (pause:200); [t] "super"; [n] ./*[1]/*[2]/*[1] (pitch:0.35);[p] (pause:300)','self::span[@class="msubsup"]');
(0,sre.MathmlStoreRules.defineRule_)("mj-msub","default.default",'[n] ./*[1]/*[1]/*[1]; [t] "sub";[n] ./*[1]/*[2]/*[1] (pitch:-0.35); [p] (pause:300)','self::span[@class="msub"]');(0,sre.MathmlStoreRules.defineRule_)("mj-msup","default.default",'[n] ./*[1]/*[1]/*[1]; [t] "super";[n] ./*[1]/*[2]/*[1] (pitch:0.35); [p] (pause:300)','self::span[@class="msup"]');(0,sre.MathmlStoreRules.defineRule_)("mj-munderover","default.default",'[n] ./*[1]/*[2]/*[1] (pitch:0.35); [t] "under and";[n] ./*[1]/*[3]/*[1] (pitch:-0.35); [t] "over";[n] ./*[1]/*[1]/*[1]; [p] (pause:400)',
'self::span[@class="munderover"]');(0,sre.MathmlStoreRules.defineRule_)("mj-munder","default.default",'[n] ./*[1]/*[2]/*[1] (pitch:0.35); [t] "under";[n] ./*[1]/*[1]/*[1]; [p] (pause:400)','self::span[@class="munder"]');(0,sre.MathmlStoreRules.defineRule_)("mj-mover","default.default",'[n] ./*[1]/*[2]/*[1] (pitch:0.35); [t] "over";[n] ./*[1]/*[1]/*[1]; [p] (pause:400)','self::span[@class="mover"]');(0,sre.MathmlStoreRules.defineRule_)("mj-mfrac","default.default",'[p] (pause:250); [n] ./*[1]/*[1]/*[1] (pitch:0.3); [p] (pause:250); [t] "divided by"; [n] ./*[1]/*[2]/*[1] (pitch:-0.3);[p] (pause:400)',
'self::span[@class="mfrac"]');(0,sre.MathmlStoreRules.defineRule_)("mj-msqrt","default.default",'[t] "Square root of";[n] ./*[1]/*[1]/*[1] (rate:0.2); [p] (pause:400)','self::span[@class="msqrt"]');(0,sre.MathmlStoreRules.defineRule_)("mj-mroot","default.default",'[t] "root of order"; [n] ./*[1]/*[4]/*[1]; [t] "of";[n] ./*[1]/*[1]/*[1] (rate:0.2); [p] (pause:400)','self::span[@class="mroot"]');(0,sre.MathmlStoreRules.defineRule_)("mj-mfenced","default.default",'[t] "opening"; [n] ./*[1]; [m] ./*[position()>1 and position()<last()]; [t] "closing"; [n] ./*[last()]',
'self::span[@class="mfenced"]');(0,sre.MathmlStoreRules.defineRuleAlias_)("mj-leaf",'self::span[@class="mtable"]');(0,sre.MathmlStoreRules.defineRuleAlias_)("mj-leaf",'self::span[@class="mmultiscripts"]')};
sre.MathmlStoreRules.initAliases_=function(){(0,sre.MathmlStoreRules.defineRuleAlias_)("mspace",'self::span[@class="mspace"]');(0,sre.MathmlStoreRules.defineRuleAlias_)("mstyle",'self::span[@class="mstyle"]');(0,sre.MathmlStoreRules.defineRuleAlias_)("mpadded",'self::span[@class="mpadded"]');(0,sre.MathmlStoreRules.defineRuleAlias_)("merror",'self::span[@class="merror"]');(0,sre.MathmlStoreRules.defineRuleAlias_)("mphantom",'self::span[@class="mphantom"]');(0,sre.MathmlStoreRules.defineRuleAlias_)("ms",
'self::span[@class="ms"]');(0,sre.MathmlStoreRules.defineRuleAlias_)("mrow",'self::span[@class="mrow"]');(0,sre.MathmlStoreRules.defineRuleAlias_)("mj-msub",'self::span[@class="msubsup"]',"CQFmathmlmsub");(0,sre.MathmlStoreRules.defineRuleAlias_)("mj-msup",'self::span[@class="msubsup"]',"CQFmathmlmsup");(0,sre.MathmlStoreRules.defineRuleAlias_)("mj-munder",'self::span[@class="munderover"]',"CQFmathmlmunder");(0,sre.MathmlStoreRules.defineRuleAlias_)("mj-mover",'self::span[@class="munderover"]',"CQFmathmlmover")};
sre.MathmlStoreRules.initSpecializationRules_=function(){(0,sre.MathmlStoreRules.defineRule_)("square","default.default",'[n] ./*[1]; [t] "square" (pitch:0.35); [p] (pause:300)',"self::mathml:msup","./*[2][text()=2]");(0,sre.MathmlStoreRules.defineRuleAlias_)("square","self::mathml:msup","./mathml:mrow=./*[2]","count(./*[2]/*)=1","./*[2]/*[1][text()=2]");(0,sre.MathmlStoreRules.defineRule_)("cube","default.default",'[n] ./*[1]; [t] "cube" (pitch:0.35); [p] (pause:300)',"self::mathml:msup","./*[2][text()=3]");
(0,sre.MathmlStoreRules.defineRuleAlias_)("cube","self::mathml:msup","./mathml:mrow=./*[2]","count(./*[2]/*)=1","./*[2]/*[1][text()=3]");(0,sre.MathmlStoreRules.defineRule_)("square-sub","default.default",'[n] ./*[1]; [t] "sub"; [n] ./*[2] (pitch:-0.35);[p] (pause:300); [t] "square" (pitch:0.35); [p] (pause:400)',"self::mathml:msubsup","./*[3][text()=2]");(0,sre.MathmlStoreRules.defineRuleAlias_)("square-sub","self::mathml:msubsup","./mathml:mrow=./*[3]","count(./*[3]/*)=1","./*[3]/*[1][text()=2]");
(0,sre.MathmlStoreRules.defineRule_)("cube-sub","default.default",'[n] ./*[1]; [t] "sub"; [n] ./*[2] (pitch:-0.35);[p] (pause:300); [t] "cube" (pitch:0.35); [p] (pause:400)',"self::mathml:msubsup","./*[3][text()=3]");(0,sre.MathmlStoreRules.defineRuleAlias_)("cube-sub","self::mathml:msubsup","./mathml:mrow=./*[3]","count(./*[3]/*)=1","./*[3]/*[1][text()=3]");(0,sre.MathmlStoreRules.defineRule_)("mj-square","default.default",'[n] ./*[1]/*[1]/*[1]; [t] "square" (pitch:0.35); [p] (pause:300)','self::span[@class="msup"]',
"./*[1]/*[2]/*[1][text()=2]");(0,sre.MathmlStoreRules.defineRuleAlias_)("mj-square",'self::span[@class="msup"]','./*[1]/*[2]/*[1]=./*[1]/*[2]/span[@class="mrow"]',"count(./*[1]/*[2]/*[1]/*)=1","./*[1]/*[2]/*[1]/*[1][text()=2]");(0,sre.MathmlStoreRules.defineRuleAlias_)("mj-square",'self::span[@class="msubsup"]',"CQFmathmlmsup","./*[1]/*[2]/*[1][text()=2]");(0,sre.MathmlStoreRules.defineRuleAlias_)("mj-square",'self::span[@class="msubsup"]',"CQFmathmlmsup",'./*[1]/*[2]/*[1]=./*[1]/*[2]/span[@class="mrow"]',
"count(./*[1]/*[2]/*[1]/*)=1","./*[1]/*[2]/*[1]/*[1][text()=2]");(0,sre.MathmlStoreRules.defineRule_)("mj-cube","default.default",'[n] ./*[1]/*[1]/*[1]; [t] "cube" (pitch:0.35); [p] (pause:300)','self::span[@class="msup"]',"./*[1]/*[2]/*[1][text()=3]");(0,sre.MathmlStoreRules.defineRuleAlias_)("mj-cube",'self::span[@class="msup"]','./*[1]/*[2]/*[1]=./*[1]/*[2]/span[@class="mrow"]',"count(./*[1]/*[2]/*[1]/*)=1","./*[1]/*[2]/*[1]/*[1][text()=3]");(0,sre.MathmlStoreRules.defineRuleAlias_)("mj-cube",
'self::span[@class="msubsup"]',"CQFmathmlmsup","./*[1]/*[2]/*[1][text()=3]");(0,sre.MathmlStoreRules.defineRuleAlias_)("mj-cube",'self::span[@class="msubsup"]',"CQFmathmlmsup",'./*[1]/*[2]/*[1]=./*[1]/*[2]/span[@class="mrow"]',"count(./*[1]/*[2]/*[1]/*)=1","./*[1]/*[2]/*[1]/*[1][text()=3]");(0,sre.MathmlStoreRules.defineRule_)("mj-square-sub","default.default",'[n] ./*[1]/*[1]/*[1]; [t] "sub"; [n] ./*[1]/*[3]/*[1] (pitch:-0.35); [p] (pause:300); [t] "square" (pitch:0.35); [p] (pause:400)','self::span[@class="msubsup"]',
"./*[1]/*[2]/*[1][text()=2]");(0,sre.MathmlStoreRules.defineRuleAlias_)("mj-square-sub",'self::span[@class="msubsup"]','./*[1]/*[2]/*[1]=./*[1]/*[2]/span[@class="mrow"]',"count(./*[1]/*[2]/*[1]/*)=1","./*[1]/*[2]/*[1]/*[1][text()=2]");(0,sre.MathmlStoreRules.defineRule_)("mj-cube-sub","default.default",'[n] ./*[1]/*[1]/*[1]; [t] "sub"; [n] ./*[1]/*[3]/*[1] (pitch:-0.35); [p] (pause:300); [t] "cube" (pitch:0.35); [p] (pause:400)','self::span[@class="msubsup"]',"./*[1]/*[2]/*[1][text()=3]");(0,sre.MathmlStoreRules.defineRuleAlias_)("mj-cube-sub",
'self::span[@class="msubsup"]','./*[1]/*[2]/*[1]=./*[1]/*[2]/span[@class="mrow"]',"count(./*[1]/*[2]/*[1]/*)=1","./*[1]/*[2]/*[1]/*[1][text()=3]")};sre.MathmlStoreRules.getInstance().initializer=[sre.MathmlStoreRules.initCustomFunctions_,sre.MathmlStoreRules.initDefaultRules_,sre.MathmlStoreRules.initMathjaxRules_,sre.MathmlStoreRules.initAliases_,sre.MathmlStoreRules.initSpecializationRules_];sre.MathspeakRules=function(){sre.MathStore.call(this)};goog.inherits(sre.MathspeakRules,sre.MathStore);goog.addSingletonGetter(sre.MathspeakRules);sre.MathspeakRules.mathStore=sre.MathspeakRules.getInstance();sre.MathspeakRules.defineRule_=goog.bind(sre.MathspeakRules.mathStore.defineRule,sre.MathspeakRules.mathStore);sre.MathspeakRules.defineRuleAlias_=goog.bind(sre.MathspeakRules.mathStore.defineRulesAlias,sre.MathspeakRules.mathStore);
sre.MathspeakRules.defineSpecialisedRule_=goog.bind(sre.MathspeakRules.mathStore.defineSpecialisedRule,sre.MathspeakRules.mathStore);sre.MathspeakRules.addContextFunction_=goog.bind(sre.MathspeakRules.mathStore.contextFunctions.add,sre.MathspeakRules.mathStore.contextFunctions);sre.MathspeakRules.addCustomQuery_=goog.bind(sre.MathspeakRules.mathStore.customQueries.add,sre.MathspeakRules.mathStore.customQueries);
sre.MathspeakRules.addCustomString_=goog.bind(sre.MathspeakRules.mathStore.customStrings.add,sre.MathspeakRules.mathStore.customStrings);
sre.MathspeakRules.initCustomFunctions_=function(){(0,sre.MathspeakRules.addCustomQuery_)("CQFspaceoutNumber",sre.MathspeakUtil.spaceoutNumber);(0,sre.MathspeakRules.addCustomQuery_)("CQFspaceoutIdentifier",sre.MathspeakUtil.spaceoutIdentifier);(0,sre.MathspeakRules.addCustomString_)("CSFspaceoutText",sre.MathspeakUtil.spaceoutText);(0,sre.MathspeakRules.addCustomString_)("CSFopenFracVerbose",sre.MathspeakUtil.openingFractionVerbose);(0,sre.MathspeakRules.addCustomString_)("CSFcloseFracVerbose",sre.MathspeakUtil.closingFractionVerbose);
(0,sre.MathspeakRules.addCustomString_)("CSFoverFracVerbose",sre.MathspeakUtil.overFractionVerbose);(0,sre.MathspeakRules.addCustomString_)("CSFopenFracBrief",sre.MathspeakUtil.openingFractionBrief);(0,sre.MathspeakRules.addCustomString_)("CSFcloseFracBrief",sre.MathspeakUtil.closingFractionBrief);(0,sre.MathspeakRules.addCustomString_)("CSFopenFracSbrief",sre.MathspeakUtil.openingFractionSbrief);(0,sre.MathspeakRules.addCustomString_)("CSFcloseFracSbrief",sre.MathspeakUtil.closingFractionSbrief);
(0,sre.MathspeakRules.addCustomString_)("CSFoverFracSbrief",sre.MathspeakUtil.overFractionSbrief);(0,sre.MathspeakRules.addCustomString_)("CSFvulgarFraction",sre.MathspeakUtil.vulgarFraction);(0,sre.MathspeakRules.addCustomQuery_)("CQFvulgarFractionSmall",sre.MathspeakUtil.isSmallVulgarFraction);(0,sre.MathspeakRules.addCustomString_)("CSFopenRadicalVerbose",sre.MathspeakUtil.openingRadicalVerbose);(0,sre.MathspeakRules.addCustomString_)("CSFcloseRadicalVerbose",sre.MathspeakUtil.closingRadicalVerbose);
(0,sre.MathspeakRules.addCustomString_)("CSFindexRadicalVerbose",sre.MathspeakUtil.indexRadicalVerbose);(0,sre.MathspeakRules.addCustomString_)("CSFopenRadicalBrief",sre.MathspeakUtil.openingRadicalBrief);(0,sre.MathspeakRules.addCustomString_)("CSFcloseRadicalBrief",sre.MathspeakUtil.closingRadicalBrief);(0,sre.MathspeakRules.addCustomString_)("CSFindexRadicalBrief",sre.MathspeakUtil.indexRadicalBrief);(0,sre.MathspeakRules.addCustomString_)("CSFopenRadicalSbrief",sre.MathspeakUtil.openingRadicalSbrief);
(0,sre.MathspeakRules.addCustomString_)("CSFindexRadicalSbrief",sre.MathspeakUtil.indexRadicalSbrief);(0,sre.MathspeakRules.addCustomString_)("CSFsuperscriptVerbose",sre.MathspeakUtil.superscriptVerbose);(0,sre.MathspeakRules.addCustomString_)("CSFsuperscriptBrief",sre.MathspeakUtil.superscriptBrief);(0,sre.MathspeakRules.addCustomString_)("CSFsubscriptVerbose",sre.MathspeakUtil.subscriptVerbose);(0,sre.MathspeakRules.addCustomString_)("CSFsubscriptBrief",sre.MathspeakUtil.subscriptBrief);(0,sre.MathspeakRules.addCustomString_)("CSFbaselineVerbose",
sre.MathspeakUtil.baselineVerbose);(0,sre.MathspeakRules.addCustomString_)("CSFbaselineBrief",sre.MathspeakUtil.baselineBrief);(0,sre.MathspeakRules.addCustomString_)("CSFunderscript",sre.MathspeakUtil.nestedUnderscore);(0,sre.MathspeakRules.addCustomString_)("CSFoverscript",sre.MathspeakUtil.nestedOverscore);(0,sre.MathspeakRules.addContextFunction_)("CTXFordinalCounter",sre.MathspeakUtil.ordinalCounter);(0,sre.MathspeakRules.addContextFunction_)("CTXFcontentIterator",sre.MathmlStoreUtil.contentIterator);
(0,sre.MathspeakRules.addCustomQuery_)("CQFdetIsSimple",sre.MathspeakUtil.determinantIsSimple);(0,sre.MathspeakRules.addCustomString_)("CSFRemoveParens",sre.MathspeakUtil.removeParens);(0,sre.MathspeakRules.addCustomQuery_)("CQFresetNesting",sre.MathspeakUtil.resetNestingDepth)};
sre.MathspeakRules.initMathspeakRules_=function(){(0,sre.MathspeakRules.defineRule_)("stree","mathspeak.default","[n] ./*[1]","self::stree","CQFresetNesting");(0,sre.MathspeakRules.defineRule_)("unknown","mathspeak.default","[n] text()","self::unknown");(0,sre.MathspeakRules.defineRule_)("protected","mathspeak.default","[t] text()","self::*",'@role="protected"');(0,sre.MathspeakRules.defineRule_)("omit-empty","mathspeak.default","[p] (pause:100)","self::empty");(0,sre.MathspeakRules.defineRule_)("blank-empty",
"mathspeak.default",'[t] "Blank"',"self::empty","count(../*)=1",'name(../..)="cell" or name(../..)="line"');(0,sre.MathspeakRules.defineRule_)("font","mathspeak.default","[t] @font (grammar:localFont); [n] . (grammar:ignoreFont=@font)","self::*","@font",'not(contains(@grammar, "ignoreFont"))','@font!="normal"');(0,sre.MathspeakRules.defineRule_)("font-identifier-short","mathspeak.default","[t] @font (grammar:localFont); [n] . (grammar:ignoreFont=@font)","self::identifier","string-length(text())=1",
"@font",'not(contains(@grammar, "ignoreFont"))','@font="normal"','""=translate(text(), "abcdefghijklmnopqrstuvwxyz\u03b1\u03b2\u03b3\u03b4\u03b5\u03b6\u03b7\u03b8\u03b9\u03ba\u03bb\u03bc\u03bd\u03be\u03bf\u03c0\u03c1\u03c2\u03c3\u03c4\u03c5\u03c6\u03c7\u03c8\u03c9ABCDEFGHIJKLMNOPQRSTUVWXYZ\u0391\u0392\u0393\u0394\u0395\u0396\u0397\u0398\u0399\u039a\u039b\u039c\u039d\u039e\u039f\u03a0\u03a1\u03a3\u03a3\u03a4\u03a5\u03a6\u03a7\u03a8\u03a9", "")','@role!="unit"');(0,sre.MathspeakRules.defineRule_)("font-identifier",
"mathspeak.default","[t] @font (grammar:localFont); [n] . (grammar:ignoreFont=@font)","self::identifier","string-length(text())=1","@font",'@font="normal"','not(contains(@grammar, "ignoreFont"))','@role!="unit"');(0,sre.MathspeakRules.defineRule_)("omit-font","mathspeak.default","[n] . (grammar:ignoreFont=@font)","self::identifier","string-length(text())=1","@font",'not(contains(@grammar, "ignoreFont"))','@font="italic"');(0,sre.MathspeakRules.defineRule_)("german-font","mathspeak.default",'[t] "German"; [n] . (grammar:ignoreFont=@font)',
"self::*","@font",'not(contains(@grammar, "ignoreFont"))','@font="fraktur"');(0,sre.MathspeakRules.defineRule_)("german-font","mathspeak.default",'[t] "bold German"; [n] . (grammar:ignoreFont=@font)',"self::*","@font",'not(contains(@grammar, "ignoreFont"))','@font="bold-fraktur"');(0,sre.MathspeakRules.defineRule_)("number","mathspeak.default","[n] text()","self::number");(0,sre.MathspeakRules.defineRule_)("mixed-number","mathspeak.default",'[n] children/*[1]; [t] "and"; [n] children/*[2]; ',"self::number",
'@role="mixed"');(0,sre.MathspeakRules.defineRule_)("number-with-chars","mathspeak.default",'[t] "Number"; [m] CQFspaceoutNumber',"self::number",'"" != translate(text(), "0123456789.,", "")','text() != translate(text(), "0123456789.,", "")');(0,sre.MathspeakRules.defineSpecialisedRule_)("number-with-chars","mathspeak.default","mathspeak.brief",'[t] "Num"; [m] CQFspaceoutNumber');(0,sre.MathspeakRules.defineSpecialisedRule_)("number-with-chars","mathspeak.brief","mathspeak.sbrief");(0,sre.MathspeakRules.defineRule_)("number-as-upper-word",
"mathspeak.default",'[t] "UpperWord"; [t] CSFspaceoutText',"self::number","string-length(text())>1",'text()=translate(text(), "abcdefghijklmnopqrstuvwxyz\u03b1\u03b2\u03b3\u03b4\u03b5\u03b6\u03b7\u03b8\u03b9\u03ba\u03bb\u03bc\u03bd\u03be\u03bf\u03c0\u03c1\u03c2\u03c3\u03c4\u03c5\u03c6\u03c7\u03c8\u03c9", "ABCDEFGHIJKLMNOPQRSTUVWXYZ\u0391\u0392\u0393\u0394\u0395\u0396\u0397\u0398\u0399\u039a\u039b\u039c\u039d\u039e\u039f\u03a0\u03a1\u03a3\u03a3\u03a4\u03a5\u03a6\u03a7\u03a8\u03a9")','""=translate(text(), "ABCDEFGHIJKLMNOPQRSTUVWXYZ\u0391\u0392\u0393\u0394\u0395\u0396\u0397\u0398\u0399\u039a\u039b\u039c\u039d\u039e\u039f\u03a0\u03a1\u03a3\u03a3\u03a4\u03a5\u03a6\u03a7\u03a8\u03a9","")');
(0,sre.MathspeakRules.defineRule_)("number-baseline","mathspeak.default",'[t] "Baseline"; [n] text()',"self::number",'not(contains(@grammar, "ignoreFont"))',"preceding-sibling::identifier",'preceding-sibling::*[1][@role="latinletter" or @role="greekletter" or @role="otherletter"]','parent::*/parent::infixop[@role="implicit"]');(0,sre.MathspeakRules.defineSpecialisedRule_)("number-baseline","mathspeak.default","mathspeak.brief",'[t] "Base"; [n] text()');(0,sre.MathspeakRules.defineSpecialisedRule_)("number-baseline",
"mathspeak.brief","mathspeak.sbrief");(0,sre.MathspeakRules.defineRule_)("number-baseline-font","mathspeak.default",'[t] "Baseline"; [t] @font; [n] . (grammar:ignoreFont=@font)',"self::number","@font",'not(contains(@grammar, "ignoreFont"))','@font!="normal"',"preceding-sibling::identifier",'preceding-sibling::*[@role="latinletter" or @role="greekletter" or @role="otherletter"]','parent::*/parent::infixop[@role="implicit"]');(0,sre.MathspeakRules.defineSpecialisedRule_)("number-baseline-font","mathspeak.default",
"mathspeak.brief",'[t] "Base"; [n] text()');(0,sre.MathspeakRules.defineSpecialisedRule_)("number-baseline-font","mathspeak.brief","mathspeak.sbrief");(0,sre.MathspeakRules.defineRule_)("identifier","mathspeak.default","[m] CQFspaceoutIdentifier","self::identifier","string-length(text())>1",'@role!="unit"','@role!="protected"','not(@font) or @font="normal" or contains(@grammar, "ignoreFont")');(0,sre.MathspeakRules.defineRule_)("identifier","mathspeak.default","[n] text()","self::identifier",'@role="protected"');
(0,sre.MathspeakRules.defineRule_)("negative","mathspeak.default",'[t] "negative"; [n] children/*[1]',"self::prefixop",'@role="negative"',"children/identifier");(0,sre.MathspeakRules.defineRuleAlias_)("negative","self::prefixop",'@role="negative"',"children/number");(0,sre.MathspeakRules.defineRuleAlias_)("negative","self::prefixop",'@role="negative"','children/fraction[@role="vulgar"]');(0,sre.MathspeakRules.defineRule_)("negative","mathspeak.default",'[t] "minus"; [n] children/*[1]',"self::prefixop",
'@role="negative"');(0,sre.MathspeakRules.defineRule_)("prefix","mathspeak.default","[n] text(); [n] children/*[1]","self::prefixop");(0,sre.MathspeakRules.defineRule_)("postfix","mathspeak.default","[n] children/*[1]; [n] text()","self::postfixop");(0,sre.MathspeakRules.defineRule_)("binary-operation","mathspeak.default","[m] children/* (sepFunc:CTXFcontentIterator);","self::infixop");(0,sre.MathspeakRules.defineRule_)("implicit","mathspeak.default","[m] children/*","self::infixop",'@role="implicit"');
(0,sre.MathspeakRules.defineRuleAlias_)("implicit","self::infixop",'@role="leftsuper" or @role="leftsub" or @role="rightsuper" or @role="rightsub"');(0,sre.MathspeakRules.defineRule_)("subtraction","mathspeak.default",'[m] children/* (separator:"minus");',"self::infixop",'@role="subtraction"');(0,sre.MathspeakRules.defineRule_)("function-unknown","mathspeak.default","[n] children/*[1]; [n] children/*[2]","self::appl");(0,sre.MathspeakRules.defineRule_)("function-prefix","mathspeak.default","[n] children/*[1]; [n] children/*[2]",
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"self::fraction");(0,sre.MathspeakRules.defineRule_)("fraction","mathspeak.sbrief","[t] CSFopenFracSbrief; [n] children/*[1]; [t] CSFoverFracSbrief; [n] children/*[2]; [t] CSFcloseFracSbrief","self::fraction");(0,sre.MathspeakRules.defineRule_)("vulgar-fraction","mathspeak.default","[t] CSFvulgarFraction","self::fraction",'@role="vulgar"',"CQFvulgarFractionSmall");(0,sre.MathspeakRules.defineSpecialisedRule_)("vulgar-fraction","mathspeak.default","mathspeak.brief");(0,sre.MathspeakRules.defineSpecialisedRule_)("vulgar-fraction",
"mathspeak.default","mathspeak.sbrief");(0,sre.MathspeakRules.defineRule_)("continued-fraction-outer","mathspeak.default",'[t] "ContinuedFraction"; [n] children/*[1];[t] "Over"; [n] children/*[2]',"self::fraction","not(ancestor::fraction)",'children/*[2]/descendant-or-self::*[@role="ellipsis" and not(following-sibling::*)]');(0,sre.MathspeakRules.defineSpecialisedRule_)("continued-fraction-outer","mathspeak.default","mathspeak.brief",'[t] "ContinuedFrac"; [n] children/*[1];[t] "Over"; [n] children/*[2]');
(0,sre.MathspeakRules.defineSpecialisedRule_)("continued-fraction-outer","mathspeak.brief","mathspeak.sbrief");(0,sre.MathspeakRules.defineRule_)("continued-fraction-inner","mathspeak.default",'[t] "StartFraction"; [n] children/*[1];[t] "Over"; [n] children/*[2]',"self::fraction","ancestor::fraction",'children/*[2]/descendant-or-self::*[@role="ellipsis" and not(following-sibling::*)]');(0,sre.MathspeakRules.defineSpecialisedRule_)("continued-fraction-inner","mathspeak.default","mathspeak.brief",'[t] "StartFrac"; [n] children/*[1];[t] "Over"; [n] children/*[2]');
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"[n] children/*[1]; [t] CSFunderscript; [n] children/*[2];","self::limlower",'name(../..)="underscore" or name(../..)="overscore"','following-sibling::*[@role!="underaccent" and @role!="overaccent"]');(0,sre.MathspeakRules.defineRule_)("limupper","mathspeak.default","[n] children/*[1]; [t] CSFoverscript; [n] children/*[2];","self::limupper",'name(../..)="underscore" or name(../..)="overscore"','following-sibling::*[@role!="underaccent" and @role!="overaccent"]');(0,sre.MathspeakRules.defineRuleAlias_)("limlower",
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(0,sre.MathspeakRules.defineRuleAlias_)("subscript-baseline","self::subscript","not(following-sibling::*)","ancestor::relseq|ancestor::multirel",sre.MathspeakUtil.generateBaselineConstraint());(0,sre.MathspeakRules.defineRuleAlias_)("subscript-baseline","self::subscript","not(following-sibling::*)","@embellished");(0,sre.MathspeakRules.defineRule_)("subscript-empty-sup","mathspeak.default","[n] children/*[1]; [n] children/*[2]","self::subscript",'name(children/*[2])="infixop"','name(children/*[2][@role="implicit"]/children/*[1])="superscript"',
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"[n] children/*[1]; [t] CSFsuperscriptVerbose; [n] children/*[2]","self::superscript");(0,sre.MathspeakRules.defineSpecialisedRule_)("superscript","mathspeak.default","mathspeak.brief","[n] children/*[1]; [t] CSFsuperscriptBrief; [n] children/*[2]");(0,sre.MathspeakRules.defineSpecialisedRule_)("superscript","mathspeak.brief","mathspeak.sbrief");(0,sre.MathspeakRules.defineRule_)("superscript-baseline","mathspeak.default","[n] children/*[1]; [t] CSFsuperscriptVerbose; [n] children/*[2];[t] CSFbaselineVerbose",
"self::superscript","following-sibling::*",'not(name(following-sibling::superscript/children/*[1])="empty" or (name(following-sibling::infixop[@role="implicit"]/children/*[1])="superscript" and name(following-sibling::*/children/*[1]/children/*[1])="empty")) and not(following-sibling::*[@role="rightsuper" or @role="rightsub" or @role="leftsub" or @role="leftsub"])');(0,sre.MathspeakRules.defineSpecialisedRule_)("superscript-baseline","mathspeak.default","mathspeak.brief","[n] children/*[1]; [t] CSFsuperscriptBrief; [n] children/*[2];[t] CSFbaselineBrief");
(0,sre.MathspeakRules.defineSpecialisedRule_)("superscript-baseline","mathspeak.brief","mathspeak.sbrief");(0,sre.MathspeakRules.defineRuleAlias_)("superscript-baseline","self::superscript","not(following-sibling::*)","ancestor::punctuated",'ancestor::*/following-sibling::* and not(ancestor::punctuated[@role="leftsuper" or @role="rightsub" or @role="rightsuper" or @role="rightsub"])');(0,sre.MathspeakRules.defineRuleAlias_)("superscript-baseline","self::superscript","not(following-sibling::*)","ancestor::fraction|ancestor::fenced|ancestor::root|ancestor::sqrt");
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'name(children/*[2])="infixop"','name(children/*[2][@role="implicit"]/children/*[1])="subscript"','name(children/*[2]/children/*[1]/children/*[1])="empty"');(0,sre.MathspeakRules.defineSpecialisedRule_)("superscript-empty-sub","mathspeak.default","mathspeak.brief");(0,sre.MathspeakRules.defineSpecialisedRule_)("superscript-empty-sub","mathspeak.brief","mathspeak.sbrief");(0,sre.MathspeakRules.defineRuleAlias_)("superscript-empty-sub","self::superscript",'name(children/*[2])="subscript"','name(children/*[2]/children/*[1])="empty"');
(0,sre.MathspeakRules.defineRule_)("square","mathspeak.default",'[n] children/*[1]; [t] "squared"',"self::superscript","children/*[2]","children/*[2][text()=2]",'name(children/*[1])!="text" or not(name(children/*[1])="text" and (name(../../../punctuated[@role="text"]/..)="stree" or name(..)="stree"))','name(children/*[1])!="subscript" or (name(children/*[1])="subscript" and name(children/*[1]/children/*[1])="identifier" and name(children/*[1]/children/*[2])="number" and children/*[1]/children/*[2][@role!="mixed"] and children/*[1]/children/*[2][@role!="othernumber"])',
"not(@embellished)");(0,sre.MathspeakRules.defineSpecialisedRule_)("square","mathspeak.default","mathspeak.brief");(0,sre.MathspeakRules.defineSpecialisedRule_)("square","mathspeak.default","mathspeak.sbrief");(0,sre.MathspeakRules.defineRule_)("cube","mathspeak.default",'[n] children/*[1]; [t] "cubed"',"self::superscript","children/*[2]","children/*[2][text()=3]",'name(children/*[1])!="text" or not(name(children/*[1])="text" and (name(../../../punctuated[@role="text"]/..)="stree" or name(..)="stree"))',
'name(children/*[1])!="subscript" or (name(children/*[1])="subscript" and name(children/*[1]/children/*[1])="identifier" and name(children/*[1]/children/*[2])="number" and children/*[1]/children/*[2][@role!="mixed"] and children/*[1]/children/*[2][@role!="othernumber"])',"not(@embellished)");(0,sre.MathspeakRules.defineSpecialisedRule_)("cube","mathspeak.default","mathspeak.brief");(0,sre.MathspeakRules.defineSpecialisedRule_)("cube","mathspeak.default","mathspeak.sbrief");(0,sre.MathspeakRules.defineRule_)("prime",
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'children/*[2][@role="prime"]','name(children/*[1])="subscript"',"not(following-sibling::*)");(0,sre.MathspeakRules.defineSpecialisedRule_)("prime-subscript","mathspeak.default","mathspeak.brief","[n] children/*[1]/children/*[1]; [n] children/*[2]; [t] CSFsubscriptBrief; [n] children/*[1]/children/*[2]");(0,sre.MathspeakRules.defineSpecialisedRule_)("prime-subscript","mathspeak.brief","mathspeak.sbrief");(0,sre.MathspeakRules.defineRule_)("prime-subscript-baseline","mathspeak.default","[n] children/*[1]/children/*[1]; [n] children/*[2]; [t] CSFsubscriptVerbose; [n] children/*[1]/children/*[2]; [t] CSFbaselineVerbose",
"self::superscript",'children/*[2][@role="prime"]','name(children/*[1])="subscript"',"following-sibling::*");(0,sre.MathspeakRules.defineSpecialisedRule_)("prime-subscript-baseline","mathspeak.default","mathspeak.brief","[n] children/*[1]/children/*[1]; [n] children/*[2]; [t] CSFsubscriptBrief; [n] children/*[1]/children/*[2]; [t] CSFbaselineBrief");(0,sre.MathspeakRules.defineSpecialisedRule_)("prime-subscript-baseline","mathspeak.brief","mathspeak.sbrief");(0,sre.MathspeakRules.defineRuleAlias_)("prime-subscript-baseline",
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'children/*[1]/children/*[2][@role!="othernumber"]');(0,sre.MathspeakRules.defineSpecialisedRule_)("prime-subscript-simple","mathspeak.default","mathspeak.brief");(0,sre.MathspeakRules.defineSpecialisedRule_)("prime-subscript-simple","mathspeak.default","mathspeak.sbrief");(0,sre.MathspeakRules.defineRule_)("overscore","mathspeak.default",'[t] "ModifyingAbove"; [n] children/*[1]; [t] "With"; [n] children/*[2]',"self::overscore",'children/*[2][@role="overaccent"]');(0,sre.MathspeakRules.defineSpecialisedRule_)("overscore",
"mathspeak.default","mathspeak.brief",'[t] "ModAbove"; [n] children/*[1]; [t] "With"; [n] children/*[2]');(0,sre.MathspeakRules.defineSpecialisedRule_)("overscore","mathspeak.brief","mathspeak.sbrief");(0,sre.MathspeakRules.defineRule_)("double-overscore","mathspeak.default",'[t] "ModifyingAbove Above"; [n] children/*[1]; [t] "With"; [n] children/*[2]',"self::overscore",'children/*[2][@role="overaccent"]','name(children/*[1])="overscore"','children/*[1]/children/*[2][@role="overaccent"]');(0,sre.MathspeakRules.defineSpecialisedRule_)("double-overscore",
"mathspeak.default","mathspeak.brief",'[t] "ModAbove Above"; [n] children/*[1]; [t] "With"; [n] children/*[2]');(0,sre.MathspeakRules.defineSpecialisedRule_)("double-overscore","mathspeak.brief","mathspeak.sbrief");(0,sre.MathspeakRules.defineRule_)("underscore","mathspeak.default",'[t] "ModifyingBelow"; [n] children/*[1]; [t] "With"; [n] children/*[2]',"self::underscore",'children/*[2][@role="underaccent"]');(0,sre.MathspeakRules.defineSpecialisedRule_)("underscore","mathspeak.default","mathspeak.brief",
'[t] "ModBelow"; [n] children/*[1]; [t] "With"; [n] children/*[2]');(0,sre.MathspeakRules.defineSpecialisedRule_)("underscore","mathspeak.brief","mathspeak.sbrief");(0,sre.MathspeakRules.defineRule_)("double-underscore","mathspeak.default",'[t] "ModifyingBelow Below"; [n] children/*[1]; [t] "With"; [n] children/*[2]',"self::underscore",'children/*[2][@role="underaccent"]','name(children/*[1])="underscore"','children/*[1]/children/*[2][@role="underaccent"]');(0,sre.MathspeakRules.defineSpecialisedRule_)("double-underscore",
"mathspeak.default","mathspeak.brief",'[t] "ModBelow Below"; [n] children/*[1]; [t] "With"; [n] children/*[2]');(0,sre.MathspeakRules.defineSpecialisedRule_)("double-underscore","mathspeak.brief","mathspeak.sbrief");(0,sre.MathspeakRules.defineRule_)("overbar","mathspeak.default",'[n] children/*[1]; [t] "overbar"',"self::overscore",'@role="latinletter" or @role="greekletter" or @role="otherletter"','children/*[2][@role="overaccent"]','children/*[2][text()="\u00af" or text()="\uffe3" or text()="\uff3f" or text()="_" or text()="\u203e"]');
(0,sre.MathspeakRules.defineSpecialisedRule_)("overbar","mathspeak.default","mathspeak.brief",'[n] children/*[1]; [t] "overBar"');(0,sre.MathspeakRules.defineSpecialisedRule_)("overbar","mathspeak.brief","mathspeak.sbrief");(0,sre.MathspeakRules.defineRule_)("underbar","mathspeak.default",'[n] children/*[1]; [t] "underbar"',"self::underscore",'@role="latinletter" or @role="greekletter" or @role="otherletter"','children/*[2][@role="underaccent"]','children/*[2][text()="\u00af" or text()="\uffe3" or text()="\uff3f" or text()="_" or text()="\u203e"]');
(0,sre.MathspeakRules.defineSpecialisedRule_)("underbar","mathspeak.default","mathspeak.brief",'[n] children/*[1]; [t] "underBar"');(0,sre.MathspeakRules.defineSpecialisedRule_)("underbar","mathspeak.brief","mathspeak.sbrief");(0,sre.MathspeakRules.defineRule_)("overtilde","mathspeak.default",'[n] children/*[1]; [t] "overTilde"',"self::overscore",'children/*[2][@role="overaccent"]','@role="latinletter" or @role="greekletter" or @role="otherletter"','children/*[2][text()="~" or text()="\u02dc" or text()="\u223c" or text()="\uff5e"]');
(0,sre.MathspeakRules.defineSpecialisedRule_)("overtilde","mathspeak.default","mathspeak.brief",'[n] children/*[1]; [t] "overtilde"');(0,sre.MathspeakRules.defineSpecialisedRule_)("overtilde","mathspeak.brief","mathspeak.sbrief");(0,sre.MathspeakRules.defineRule_)("undertilde","mathspeak.default",'[n] children/*[1]; [t] "underTilde"',"self::underscore",'@role="latinletter" or @role="greekletter" or @role="otherletter"','children/*[2][@role="underaccent"]','children/*[2][text()="~" or text()="\u02dc" or text()="\u223c" or text()="\uff5e"]');
(0,sre.MathspeakRules.defineSpecialisedRule_)("undertilde","mathspeak.default","mathspeak.brief",'[n] children/*[1]; [t] "undertilde"');(0,sre.MathspeakRules.defineSpecialisedRule_)("undertilde","mathspeak.brief","mathspeak.sbrief");(0,sre.MathspeakRules.defineRule_)("matrix-fence","mathspeak.default","[n] children/*[1];","self::fenced","count(children/*)=1",'name(children/*[1])="matrix"');(0,sre.MathspeakRules.defineRule_)("matrix","mathspeak.default",'[t] "Start"; [t] count(children/*); [t] "By";[t] count(children/*[1]/children/*); [t] "Matrix"; [m] children/* (ctxtFunc:CTXFordinalCounter,context:"Row "); [t] "EndMatrix"',
"self::matrix");(0,sre.MathspeakRules.defineRule_)("matrix","mathspeak.sbrief",'[t] count(children/*); [t] "By";[t] count(children/*[1]/children/*); [t] "Matrix"; [m] children/* (ctxtFunc:CTXFordinalCounter,context:"Row "); [t] "EndMatrix"',"self::matrix");(0,sre.MathspeakRules.defineRuleAlias_)("matrix","self::vector");(0,sre.MathspeakRules.defineRule_)("matrix-row","mathspeak.default",'[m] children/* (ctxtFunc:CTXFordinalCounter,context:"Column");[p] (pause: 200)',"self::row");(0,sre.MathspeakRules.defineRule_)("row-with-label",
"mathspeak.default",'[t] "with Label"; [n] content/*[1]; [t] "EndLabel"(pause: 200); [m] children/* (ctxtFunc:CTXFordinalCounter,context:"Column")',"self::row","content");(0,sre.MathspeakRules.defineRule_)("row-with-label","mathspeak.brief",'[t] "Label"; [n] content/*[1]; [m] children/* (ctxtFunc:CTXFordinalCounter,context:"Column")',"self::row","content");(0,sre.MathspeakRules.defineSpecialisedRule_)("row-with-label","mathspeak.brief","mathspeak.sbrief");(0,sre.MathspeakRules.defineRule_)("row-with-text-label",
"mathspeak.sbrief",'[t] "Label"; [t] CSFRemoveParens;[m] children/* (ctxtFunc:CTXFordinalCounter,context:"Column")',"self::row","content",'name(content/cell/children/*[1])="text"');(0,sre.MathspeakRules.defineRule_)("empty-row","mathspeak.default",'[t] "Blank"',"self::row","count(children/*)=0");(0,sre.MathspeakRules.defineRule_)("matrix-cell","mathspeak.default","[n] children/*[1]; [p] (pause: 300)","self::cell");(0,sre.MathspeakRules.defineRule_)("empty-cell","mathspeak.default",'[t] "Blank"; [p] (pause: 300)',
"self::cell","count(children/*)=0");(0,sre.MathspeakRules.defineRule_)("determinant","mathspeak.default",'[t] "Start"; [t] count(children/*); [t] "By";[t] count(children/*[1]/children/*); [t] "Determinant"; [m] children/* (ctxtFunc:CTXFordinalCounter,context:"Row "); [t] "EndDeterminant"',"self::matrix",'@role="determinant"');(0,sre.MathspeakRules.defineSpecialisedRule_)("determinant","mathspeak.default","mathspeak.sbrief",'[t] count(children/*); [t] "By";[t] count(children/*[1]/children/*); [t] "Determinant"; [m] children/* (ctxtFunc:CTXFordinalCounter,context:"Row "); [t] "EndDeterminant"');
(0,sre.MathspeakRules.defineRule_)("determinant-simple","mathspeak.default",'[t] "Start"; [t] count(children/*); [t] "By";[t] count(children/*[1]/children/*); [t] "Determinant"; [m] children/* (ctxtFunc:CTXFordinalCounter,context:"Row",grammar:simpleDet); [t] "EndDeterminant"',"self::matrix",'@role="determinant"',"CQFdetIsSimple");(0,sre.MathspeakRules.defineSpecialisedRule_)("determinant-simple","mathspeak.default","mathspeak.sbrief",'[t] count(children/*); [t] "By";[t] count(children/*[1]/children/*); [t] "Determinant"; [m] children/* (ctxtFunc:CTXFordinalCounter,context:"Row",grammar:simpleDet); [t] "EndDeterminant"');
(0,sre.MathspeakRules.defineRule_)("row-simple","mathspeak.default","[m] children/*;","self::row",'@role="determinant"','contains(@grammar, "simpleDet")');(0,sre.MathspeakRules.defineRule_)("layout","mathspeak.default",'[t] "StartLayout"; [m] children/* (ctxtFunc:CTXFordinalCounter,context:"Row "); [t] "EndLayout"',"self::table");(0,sre.MathspeakRules.defineRule_)("layout","mathspeak.sbrief",'[t] "Layout"; [m] children/* (ctxtFunc:CTXFordinalCounter,context:"Row "); [t] "EndLayout"',"self::table");
(0,sre.MathspeakRules.defineRule_)("binomial","mathspeak.default",'[t] "StartBinomialOrMatrix"; [n] children/*[1]/children/*[1]; [t] "Choose"; [n] children/*[2]/children/*[1]; [t] "EndBinomialOrMatrix"',"self::vector",'@role="binomial"');(0,sre.MathspeakRules.defineRule_)("binomial","mathspeak.sbrief",'[t] "BinomialOrMatrix"; [n] children/*[1]/children/*[1]; [t] "Choose"; [n] children/*[2]/children/*[1]; [t] "EndBinomialOrMatrix"',"self::vector",'@role="binomial"');(0,sre.MathspeakRules.defineRule_)("cases",
"mathspeak.default",'[t] "StartLayout"; [t] "Enlarged"; [n] content/*[1];[m] children/* (ctxtFunc:CTXFordinalCounter,context:"Row "); [t] "EndLayout"',"self::cases");(0,sre.MathspeakRules.defineRule_)("cases","mathspeak.sbrief",'[t] "Layout"; [t] "Enlarged"; [n] content/*[1];[m] children/* (ctxtFunc:CTXFordinalCounter,context:"Row "); [t] "EndLayout"',"self::cases");(0,sre.MathspeakRules.defineRuleAlias_)("layout","self::multiline");(0,sre.MathspeakRules.defineRule_)("line","mathspeak.default","[m] children/*",
"self::line");(0,sre.MathspeakRules.defineRule_)("line-with-label","mathspeak.default",'[t] "with Label"; [n] content/*[1]; [t] "EndLabel" (pause: 200); [m] children/*',"self::line","content");(0,sre.MathspeakRules.defineSpecialisedRule_)("line-with-label","mathspeak.default","mathspeak.brief",'[t] "Label"; [n] content/*[1] (pause: 200); [m] children/*');(0,sre.MathspeakRules.defineSpecialisedRule_)("line-with-label","mathspeak.brief","mathspeak.sbrief");(0,sre.MathspeakRules.defineRule_)("line-with-text-label",
"mathspeak.sbrief",'[t] "Label"; [t] CSFRemoveParens; [m] children/*',"self::line","content",'name(content/cell/children/*[1])="text"');(0,sre.MathspeakRules.defineRule_)("empty-line","mathspeak.default",'[t] "Blank"',"self::line","count(children/*)=0","not(content)");(0,sre.MathspeakRules.defineSpecialisedRule_)("empty-line","mathspeak.default","mathspeak.brief");(0,sre.MathspeakRules.defineSpecialisedRule_)("empty-line","mathspeak.brief","mathspeak.sbrief");(0,sre.MathspeakRules.defineRule_)("empty-line-with-label",
"mathspeak.default",'[t] "with Label"; [n] content/*[1]; [t] "EndLabel"(pause: 200); [t] "Blank"',"self::line","count(children/*)=0","content");(0,sre.MathspeakRules.defineSpecialisedRule_)("empty-line-with-label","mathspeak.default","mathspeak.brief",'[t] "Label"; [n] content/*[1] (pause: 200); [t] "Blank"');(0,sre.MathspeakRules.defineSpecialisedRule_)("empty-line-with-label","mathspeak.brief","mathspeak.sbrief");(0,sre.MathspeakRules.defineRule_)("enclose","mathspeak.default",'[t] "StartEnclose"; [t] @role (grammar:localEnclose); [n] children/*[1]; [t] "EndEnclose"',
"self::enclose");(0,sre.MathspeakRules.defineRuleAlias_)("overbar","self::enclose",'@role="top"');(0,sre.MathspeakRules.defineRuleAlias_)("underbar","self::enclose",'@role="bottom"');(0,sre.MathspeakRules.defineRule_)("leftbar","mathspeak.default",'[t] "vertical-bar"; [n] children/*[1]',"self::enclose",'@role="left"');(0,sre.MathspeakRules.defineRule_)("rightbar","mathspeak.default",'[n] children/*[1]; [t] "vertical-bar"',"self::enclose",'@role="right"');(0,sre.MathspeakRules.defineRule_)("crossout",
"mathspeak.default",'[t] "CrossOut"; [n] children/*[1]; [t] "EndCrossOut"',"self::enclose",'@role="updiagonalstrike" or @role="downdiagonalstrike" or @role="horizontalstrike"');(0,sre.MathspeakRules.defineRule_)("cancel","mathspeak.default",'[t] "CrossOut"; [n] children/*[1]/children/*[1]; [t] "With"; [n] children/*[2]; [t] "EndCrossOut"',"self::overscore",'@role="updiagonalstrike" or @role="downdiagonalstrike" or @role="horizontalstrike"');(0,sre.MathspeakRules.defineSpecialisedRule_)("cancel","mathspeak.default",
"mathspeak.brief");(0,sre.MathspeakRules.defineSpecialisedRule_)("cancel","mathspeak.default","mathspeak.sbrief");(0,sre.MathspeakRules.defineRuleAlias_)("cancel","self::underscore",'@role="updiagonalstrike" or @role="downdiagonalstrike" or @role="horizontalstrike"');(0,sre.MathspeakRules.defineRule_)("cancel-reverse","mathspeak.default",'[t] "CrossOut"; [n] children/*[2]/children/*[1]; [t] "With"; [n] children/*[1]; [t] "EndCrossOut"',"self::overscore",'name(children/*[2])="enclose"','children/*[2][@role="updiagonalstrike" or @role="downdiagonalstrike" or @role="horizontalstrike"]');
(0,sre.MathspeakRules.defineSpecialisedRule_)("cancel-reverse","mathspeak.default","mathspeak.brief");(0,sre.MathspeakRules.defineSpecialisedRule_)("cancel-reverse","mathspeak.default","mathspeak.sbrief");(0,sre.MathspeakRules.defineRuleAlias_)("cancel-reverse","self::underscore",'name(children/*[2])="enclose"','children/*[2][@role="updiagonalstrike" or @role="downdiagonalstrike" or @role="horizontalstrike"]');(0,sre.MathspeakRules.defineRule_)("end-punct","mathspeak.default","[m] children/*","self::punctuated",
'@role="endpunct"');(0,sre.MathspeakRules.defineRule_)("start-punct","mathspeak.default","[n] content/*[1]; [m] children/*[position()>1]","self::punctuated",'@role="startpunct"');(0,sre.MathspeakRules.defineRule_)("integral-punct","mathspeak.default","[n] children/*[1]; [n] children/*[3]","self::punctuated",'@role="integral"');(0,sre.MathspeakRules.defineRule_)("punctuated","mathspeak.default","[m] children/*","self::punctuated");(0,sre.MathspeakRules.defineRule_)("unit","mathspeak.default",'[t] text() (grammar:annotation="unit":translate)',
"self::identifier",'@role="unit"');(0,sre.MathspeakRules.defineRule_)("unit-square","mathspeak.default",'[t] "square"; [n] children/*[1]',"self::superscript",'@role="unit"',"children/*[2][text()=2]",'name(children/*[1])="identifier"');(0,sre.MathspeakRules.defineRule_)("unit-cubic","mathspeak.default",'[t] "cubic"; [n] children/*[1]',"self::superscript",'@role="unit"',"children/*[2][text()=3]",'name(children/*[1])="identifier"');(0,sre.MathspeakRules.defineRule_)("reciprocal","mathspeak.default",
'[t] "reciprocal"; [n] children/*[1]',"self::superscript",'@role="unit"','name(children/*[1])="identifier"','name(children/*[2])="prefixop"','children/*[2][@role="negative"]',"children/*[2]/children/*[1][text()=1]",'count(preceding-sibling::*)=0 or preceding-sibling::*[@role!="unit"]');(0,sre.MathspeakRules.defineRule_)("reciprocal","mathspeak.default",'[t] "per"; [n] children/*[1]',"self::superscript",'@role="unit"','name(children/*[1])="identifier"','name(children/*[2])="prefixop"','children/*[2][@role="negative"]',
"children/*[2]/children/*[1][text()=1]",'preceding-sibling::*[@role="unit"]');(0,sre.MathspeakRules.defineRule_)("unit-combine","mathspeak.default","[m] children/*","self::infixop",'@role="unit"');(0,sre.MathspeakRules.defineRule_)("unit-divide","mathspeak.default",'[n] children/*[1]; [t] "per"; [n] children/*[2]',"self::fraction",'@role="unit"')};sre.MathspeakRules.componentString_={2:"CSFbaseline",1:"CSFsubscript",0:"CSFsuperscript"};sre.MathspeakRules.childNumber_={4:2,3:3,2:1,1:4,0:5};
sre.MathspeakRules.generateTensorRuleStrings_=function(a){var b=[],c="",d="";a=parseInt(a,2);for(var e=0;5>e;e++){var f="children/*["+sre.MathspeakRules.childNumber_[e]+"]";if(a&1){var g=sre.MathspeakRules.componentString_[e%3];c="[t] "+g+"Verbose; [n] "+f+";"+c;d="[t] "+g+"Brief; [n] "+f+";"+d}else b.unshift("name("+f+')="empty"');a>>=1}b.push(c);b.push(d);return b};
sre.MathspeakRules.generateMathspeakTensorRules_=function(){for(var a="11111 11110 11101 11100 10111 10110 10101 10100 01111 01110 01101 01100".split(" "),b=0,c;c=a[b];b++){var d="tensor"+c;c=sre.MathspeakRules.generateTensorRuleStrings_(c);var e=c.pop(),f=c.pop(),g=[d,"mathspeak.default",f,"self::tensor"].concat(c),h=[d,"mathspeak.brief",e,"self::tensor"].concat(c);sre.MathspeakRules.defineRule_.apply(null,g);sre.MathspeakRules.defineRule_.apply(null,h);(0,sre.MathspeakRules.defineSpecialisedRule_)(d,
"mathspeak.brief","mathspeak.sbrief");g=sre.MathspeakRules.componentString_[2];f+="; [t]"+g+"Verbose";e+="; [t]"+g+"Brief";d+="-baseline";g=[d,"mathspeak.default",f,"self::tensor","following-sibling::*"].concat(c);h=[d,"mathspeak.brief",e,"self::tensor","following-sibling::*"].concat(c);sre.MathspeakRules.defineRule_.apply(null,g);sre.MathspeakRules.defineRule_.apply(null,h);(0,sre.MathspeakRules.defineSpecialisedRule_)(d,"mathspeak.brief","mathspeak.sbrief");d=[d,"self::tensor","not(following-sibling::*)",
"ancestor::fraction|ancestor::punctuated|ancestor::fenced|ancestor::root|ancestor::sqrt|ancestor::relseq|ancestor::multirel|@embellished"].concat(c);sre.MathspeakRules.defineRuleAlias_.apply(null,d)}};sre.MathspeakRules.getInstance().initializer=[sre.MathspeakRules.initCustomFunctions_,sre.MathspeakRules.initMathspeakRules_,sre.MathspeakRules.generateMathspeakTensorRules_];sre.MathspeakSpanishUtil={};sre.MathspeakSpanishUtil.europeanNumber=function(a){return a=a.replace(/,/g,"").replace(/\./g,",")};sre.Grammar.getInstance().setCorrection("euroNum",sre.MathspeakSpanishUtil.europeanNumber);sre.MathspeakSpanishUtil.onesOrdinals="primera segunda tercera cuarta quinta sexta s\u00e9ptima octava novena d\u00e9cima und\u00e9cima duod\u00e9cima".split(" ");sre.MathspeakSpanishUtil.tensOrdinals="d\u00e9cima vig\u00e9sima trig\u00e9sima cuadrag\u00e9sima quincuag\u00e9sima sexag\u00e9sima septuag\u00e9sima octog\u00e9sima nonag\u00e9sima".split(" ");
sre.MathspeakSpanishUtil.hundredsOrdinals="cent\u00e9sima ducent\u00e9sima tricent\u00e9sima cuadringent\u00e9sima quingent\u00e9sima sexcent\u00e9sima septingent\u00e9sima octingent\u00e9sima noningent\u00e9sima".split(" ");
sre.MathspeakSpanishUtil.numberToOrdinal=function(a){if(1999<a)return a.toString()+"a";if(12>=a)return sre.MathspeakSpanishUtil.onesOrdinals[a-1];var b=[];1E3<a&&(a-=1E3,b.push("mil\u00e9sima"));var c=Math.floor(a/100);0<c&&(b.push(sre.MathspeakSpanishUtil.hundredsOrdinals[c-1]),a%=100);12>=a?b.push(sre.MathspeakSpanishUtil.onesOrdinals[a-1]):(c=Math.floor(a/10),0<c&&(b.push(sre.MathspeakSpanishUtil.tensOrdinals[c-1]),a%=10),0<a&&b.push(sre.MathspeakSpanishUtil.onesOrdinals[a-1]));return b.join(" ")};
sre.MathspeakSpanishUtil.ordinalCounter=function(a,b){var c=0;return function(){return sre.MathspeakSpanishUtil.numberToOrdinal(++c)+" "+b}};sre.MathspeakSpanishUtil.smallRoot=function(a){if(!a.childNodes||0===a.childNodes.length||!a.childNodes[0].childNodes)return[];var b=a.childNodes[0].childNodes[0].textContent;if(!/^\d+$/.test(b))return[];b=parseInt(b,10);return 1<b&&10>=b?[a]:[]};
sre.MathspeakSpanishUtil.unitMultipliers=function(a,b){var c=0;return function(){var b=sre.AuditoryDescription.create({text:sre.MathspeakSpanishUtil.rightMostUnit(a[c])&&sre.MathspeakSpanishUtil.leftMostUnit(a[c+1])?"por":""},{});c++;return[b]}};sre.MathspeakSpanishUtil.SCRIPT_ELEMENTS=[sre.SemanticAttr.Type.SUPERSCRIPT,sre.SemanticAttr.Type.SUBSCRIPT,sre.SemanticAttr.Type.OVERSCORE,sre.SemanticAttr.Type.UNDERSCORE];
sre.MathspeakSpanishUtil.rightMostUnit=function(a){for(;a;){if("unit"===a.getAttribute("role"))return!0;var b=a.tagName;a=sre.XpathUtil.evalXPath("children/*",a);a=-1!==sre.MathspeakSpanishUtil.SCRIPT_ELEMENTS.indexOf(b)?a[0]:a[a.length-1]}return!1};sre.MathspeakSpanishUtil.leftMostUnit=function(a){for(;a;){if("unit"===a.getAttribute("role"))return!0;a=sre.XpathUtil.evalXPath("children/*",a)[0]}return!1};sre.MathspeakSpanishUtil.makePlural=function(a){return/.*s$/.test(a)?a:a+"s"};
sre.Grammar.getInstance().setCorrection("plural",sre.MathspeakSpanishUtil.makePlural);sre.MathspeakSpanishUtil.oneLeft=function(a){for(;a;){if("number"===a.tagName&&"1"===a.textContent)return[a];if("infixop"!==a.tagName||"multiplication"!==a.getAttribute("role")&&"implicit"!==a.getAttribute("role"))break;a=sre.XpathUtil.evalXPath("children/*",a)[0]}return[]};sre.MathspeakSpanish=function(){sre.MathStore.call(this);this.locale="es"};goog.inherits(sre.MathspeakSpanish,sre.MathStore);goog.addSingletonGetter(sre.MathspeakSpanish);sre.MathspeakSpanish.prototype.evaluateDefault=function(a){return[sre.AuditoryDescription.create({text:a.textContent})]};sre.MathspeakSpanish.SPANISH_REGEXP="a-zA-Z\u00e1\u00e9\u00ed\u00f3\u00fa\u00f1\u00c1\u00c9\u00cd\u00d3\u00da\u00d1";
sre.MathspeakSpanish.evaluateDefault=function(a){a=a.textContent;for(var b=[],c=new sre.SystemExternal.xmldom.DOMParser,d=new RegExp("^["+sre.MathspeakSpanish.SPANISH_REGEXP+"]+"),e=new RegExp("^[^"+sre.MathspeakSpanish.SPANISH_REGEXP+"]+");a;){var f=d.exec(a);if(f)var g=sre.Semantic.Type.TEXT,h=sre.Semantic.Role.PROTECTED;else f=e.exec(a),g=sre.Semantic.Type.UNKNOWN,h=sre.Semantic.Role.TEXT;g=c.parseFromString("<"+g+' role="'+h+'">'+f[0]+"</"+g+">","text/xml");b.push(g.documentElement);a=a.slice(f[0].length).trimLeft()}return b};
sre.MathspeakSpanish.mathStore=sre.MathspeakSpanish.getInstance();sre.MathspeakSpanish.defineRule_=goog.bind(sre.MathspeakSpanish.mathStore.defineRule,sre.MathspeakSpanish.mathStore);sre.MathspeakSpanish.defineRuleAlias_=goog.bind(sre.MathspeakSpanish.mathStore.defineRulesAlias,sre.MathspeakSpanish.mathStore);sre.MathspeakSpanish.defineSpecialisedRule_=goog.bind(sre.MathspeakSpanish.mathStore.defineSpecialisedRule,sre.MathspeakSpanish.mathStore);
sre.MathspeakSpanish.addContextFunction_=goog.bind(sre.MathspeakSpanish.mathStore.contextFunctions.add,sre.MathspeakSpanish.mathStore.contextFunctions);sre.MathspeakSpanish.addCustomQuery_=goog.bind(sre.MathspeakSpanish.mathStore.customQueries.add,sre.MathspeakSpanish.mathStore.customQueries);sre.MathspeakSpanish.addCustomString_=goog.bind(sre.MathspeakSpanish.mathStore.customStrings.add,sre.MathspeakSpanish.mathStore.customStrings);
sre.MathspeakSpanish.initCustomFunctions_=function(){(0,sre.MathspeakSpanish.addCustomQuery_)("CQFspaceoutNumber",sre.MathspeakUtil.spaceoutNumber);(0,sre.MathspeakSpanish.addCustomQuery_)("CQFspaceoutIdentifier",sre.MathspeakUtil.spaceoutIdentifier);(0,sre.MathspeakSpanish.addCustomString_)("CSFspaceoutText",sre.MathspeakUtil.spaceoutText);(0,sre.MathspeakSpanish.addCustomString_)("CSFopenFracVerbose",sre.MathspeakUtil.openingFractionVerbose);(0,sre.MathspeakSpanish.addCustomString_)("CSFcloseFracVerbose",
sre.MathspeakUtil.closingFractionVerbose);(0,sre.MathspeakSpanish.addCustomString_)("CSFoverFracVerbose",sre.MathspeakUtil.overFractionVerbose);(0,sre.MathspeakSpanish.addCustomString_)("CSFopenFracBrief",sre.MathspeakUtil.openingFractionBrief);(0,sre.MathspeakSpanish.addCustomString_)("CSFcloseFracBrief",sre.MathspeakUtil.closingFractionBrief);(0,sre.MathspeakSpanish.addCustomString_)("CSFopenFracSbrief",sre.MathspeakUtil.openingFractionSbrief);(0,sre.MathspeakSpanish.addCustomString_)("CSFcloseFracSbrief",
sre.MathspeakUtil.closingFractionSbrief);(0,sre.MathspeakSpanish.addCustomString_)("CSFoverFracSbrief",sre.MathspeakUtil.overFractionSbrief);(0,sre.MathspeakSpanish.addCustomString_)("CSFopenRadicalVerbose",sre.MathspeakUtil.openingRadicalVerbose);(0,sre.MathspeakSpanish.addCustomString_)("CSFcloseRadicalVerbose",sre.MathspeakUtil.closingRadicalVerbose);(0,sre.MathspeakSpanish.addCustomString_)("CSFindexRadicalVerbose",sre.MathspeakUtil.indexRadicalVerbose);(0,sre.MathspeakSpanish.addCustomString_)("CSFopenRadicalBrief",
sre.MathspeakUtil.openingRadicalBrief);(0,sre.MathspeakSpanish.addCustomString_)("CSFcloseRadicalBrief",sre.MathspeakUtil.closingRadicalBrief);(0,sre.MathspeakSpanish.addCustomString_)("CSFindexRadicalBrief",sre.MathspeakUtil.indexRadicalBrief);(0,sre.MathspeakSpanish.addCustomString_)("CSFopenRadicalSbrief",sre.MathspeakUtil.openingRadicalSbrief);(0,sre.MathspeakSpanish.addCustomString_)("CSFindexRadicalSbrief",sre.MathspeakUtil.indexRadicalSbrief);(0,sre.MathspeakSpanish.addCustomQuery_)("CQFisSmallRoot",
sre.MathspeakSpanishUtil.smallRoot);(0,sre.MathspeakSpanish.addCustomString_)("CSFsuperscriptVerbose",sre.MathspeakUtil.superscriptVerbose);(0,sre.MathspeakSpanish.addCustomString_)("CSFsuperscriptBrief",sre.MathspeakUtil.superscriptBrief);(0,sre.MathspeakSpanish.addCustomString_)("CSFsubscriptVerbose",sre.MathspeakUtil.subscriptVerbose);(0,sre.MathspeakSpanish.addCustomString_)("CSFsubscriptBrief",sre.MathspeakUtil.subscriptBrief);(0,sre.MathspeakSpanish.addCustomString_)("CSFbaselineVerbose",sre.MathspeakUtil.baselineVerbose);
(0,sre.MathspeakSpanish.addCustomString_)("CSFbaselineBrief",sre.MathspeakUtil.baselineBrief);(0,sre.MathspeakSpanish.addCustomString_)("CSFunderscript",sre.MathspeakUtil.nestedUnderscore);(0,sre.MathspeakSpanish.addCustomString_)("CSFoverscript",sre.MathspeakUtil.nestedOverscore);(0,sre.MathspeakSpanish.addContextFunction_)("CTXFordinalCounterEs",sre.MathspeakSpanishUtil.ordinalCounter);(0,sre.MathspeakSpanish.addContextFunction_)("CTXFcontentIterator",sre.MathmlStoreUtil.contentIterator);(0,sre.MathspeakSpanish.addContextFunction_)("CTXFunitMultipliers",
sre.MathspeakSpanishUtil.unitMultipliers);(0,sre.MathspeakSpanish.addCustomQuery_)("CQFdetIsSimple",sre.MathspeakUtil.determinantIsSimple);(0,sre.MathspeakSpanish.addCustomString_)("CSFRemoveParens",sre.MathspeakUtil.removeParens);(0,sre.MathspeakSpanish.addCustomQuery_)("CQFoneLeft",sre.MathspeakSpanishUtil.oneLeft);(0,sre.MathspeakSpanish.addCustomQuery_)("CQFresetNesting",sre.MathspeakUtil.resetNestingDepth);(0,sre.MathspeakSpanish.addCustomQuery_)("CQFtextEvaluator",sre.MathspeakSpanish.evaluateDefault)};
sre.MathspeakSpanish.initMathspeakSpanish_=function(){(0,sre.MathspeakSpanish.defineRule_)("stree","mathspeak.default","[n] ./*[1]","self::stree","CQFresetNesting");(0,sre.MathspeakSpanish.defineRule_)("unknown","mathspeak.default","[n] text()","self::unknown");(0,sre.MathspeakSpanish.defineRule_)("protected","mathspeak.default","[t] text()","self::*",'@role="protected"');(0,sre.MathspeakSpanish.defineRule_)("omit-empty","mathspeak.default","[p] (pause:100)","self::empty");(0,sre.MathspeakSpanish.defineRule_)("blank-empty",
"mathspeak.default",'[t] "espacio"',"self::empty","count(../*)=1",'name(../..)="cell" or name(../..)="line"');(0,sre.MathspeakSpanish.defineRule_)("font","mathspeak.default","[t] @font (grammar:localFont); [n] . (grammar:ignoreFont=@font)","self::*","@font",'not(contains(@grammar, "ignoreFont"))','@font!="normal"');(0,sre.MathspeakSpanish.defineRule_)("font-identifier-short","mathspeak.default","[t] @font (grammar:localFont); [n] . (grammar:ignoreFont=@font)","self::identifier","string-length(text())=1",
"@font",'not(contains(@grammar, "ignoreFont"))','@font="normal"','""=translate(text(), "abcdefghijklmnopqrstuvwxyz\u03b1\u03b2\u03b3\u03b4\u03b5\u03b6\u03b7\u03b8\u03b9\u03ba\u03bb\u03bc\u03bd\u03be\u03bf\u03c0\u03c1\u03c2\u03c3\u03c4\u03c5\u03c6\u03c7\u03c8\u03c9ABCDEFGHIJKLMNOPQRSTUVWXYZ\u0391\u0392\u0393\u0394\u0395\u0396\u0397\u0398\u0399\u039a\u039b\u039c\u039d\u039e\u039f\u03a0\u03a1\u03a3\u03a3\u03a4\u03a5\u03a6\u03a7\u03a8\u03a9", "")','@role!="unit"');(0,sre.MathspeakSpanish.defineRule_)("font-identifier",
"mathspeak.default","[t] @font (grammar:localFont); [n] . (grammar:ignoreFont=@font)","self::identifier","string-length(text())=1","@font",'@font="normal"','not(contains(@grammar, "ignoreFont"))','@role!="unit"');(0,sre.MathspeakSpanish.defineRule_)("omit-font","mathspeak.default","[n] . (grammar:ignoreFont=@font)","self::identifier","string-length(text())=1","@font",'not(contains(@grammar, "ignoreFont"))','@font="italic"');(0,sre.MathspeakSpanish.defineRule_)("number","mathspeak.default","[n] text() (grammar:euroNum)",
"self::number");(0,sre.MathspeakSpanish.defineRule_)("mixed-number","mathspeak.default",'[n] children/*[1]; [t] "m\u00e1s"; [n] children/*[2]; ',"self::number",'@role="mixed"');(0,sre.MathspeakSpanish.defineRule_)("number-with-chars","mathspeak.default",'[t] "n\u00famero"; [m] CQFspaceoutNumber',"self::number",'"" != translate(text(), "0123456789.,", "")','text() != translate(text(), "0123456789.,", "")');(0,sre.MathspeakSpanish.defineSpecialisedRule_)("number-with-chars","mathspeak.default","mathspeak.brief",
'[t] "n\u00fam"; [m] CQFspaceoutNumber');(0,sre.MathspeakSpanish.defineSpecialisedRule_)("number-with-chars","mathspeak.brief","mathspeak.sbrief");(0,sre.MathspeakSpanish.defineRule_)("number-as-upper-word","mathspeak.default",'[t] "may\u00fascula"; [t] CSFspaceoutText',"self::number","string-length(text())>1",'text()=translate(text(), "abcdefghijklmnopqrstuvwxyz\u03b1\u03b2\u03b3\u03b4\u03b5\u03b6\u03b7\u03b8\u03b9\u03ba\u03bb\u03bc\u03bd\u03be\u03bf\u03c0\u03c1\u03c2\u03c3\u03c4\u03c5\u03c6\u03c7\u03c8\u03c9", "ABCDEFGHIJKLMNOPQRSTUVWXYZ\u0391\u0392\u0393\u0394\u0395\u0396\u0397\u0398\u0399\u039a\u039b\u039c\u039d\u039e\u039f\u03a0\u03a1\u03a3\u03a3\u03a4\u03a5\u03a6\u03a7\u03a8\u03a9")',
'""=translate(text(), "ABCDEFGHIJKLMNOPQRSTUVWXYZ\u0391\u0392\u0393\u0394\u0395\u0396\u0397\u0398\u0399\u039a\u039b\u039c\u039d\u039e\u039f\u03a0\u03a1\u03a3\u03a3\u03a4\u03a5\u03a6\u03a7\u03a8\u03a9","")');(0,sre.MathspeakSpanish.defineRule_)("number-baseline","mathspeak.default",'[t] "l\u00ednea base"; [n] text()',"self::number",'not(contains(@grammar, "ignoreFont"))',"preceding-sibling::identifier",'preceding-sibling::*[1][@role="latinletter" or @role="greekletter" or @role="otherletter"]','parent::*/parent::infixop[@role="implicit"]');
(0,sre.MathspeakSpanish.defineSpecialisedRule_)("number-baseline","mathspeak.default","mathspeak.brief",'[t] "base"; [n] text()');(0,sre.MathspeakSpanish.defineSpecialisedRule_)("number-baseline","mathspeak.brief","mathspeak.sbrief");(0,sre.MathspeakSpanish.defineRule_)("number-baseline-font","mathspeak.default",'[t] "l\u00ednea base"; [t] @font (grammar:localFont); [n] . (grammar:ignoreFont=@font)',"self::number","@font",'not(contains(@grammar, "ignoreFont"))','@font!="normal"',"preceding-sibling::identifier",
'preceding-sibling::*[@role="latinletter" or @role="greekletter" or @role="otherletter"]','parent::*/parent::infixop[@role="implicit"]');(0,sre.MathspeakSpanish.defineSpecialisedRule_)("number-baseline-font","mathspeak.default","mathspeak.brief",'[t] "base"; [n] text()');(0,sre.MathspeakSpanish.defineSpecialisedRule_)("number-baseline-font","mathspeak.brief","mathspeak.sbrief");(0,sre.MathspeakSpanish.defineRule_)("identifier","mathspeak.default","[m] CQFspaceoutIdentifier","self::identifier","string-length(text())>1",
'@role!="unit"','@role!="protected"','not(@font) or @font="normal" or contains(@grammar, "ignoreFont")');(0,sre.MathspeakSpanish.defineRule_)("identifier","mathspeak.default","[n] text()","self::identifier",'@role="protected"');(0,sre.MathspeakSpanish.defineRule_)("negative","mathspeak.default",'[t] "menos"; [n] children/*[1]',"self::prefixop",'@role="negative"',"children/identifier");(0,sre.MathspeakSpanish.defineRuleAlias_)("negative","self::prefixop",'@role="negative"',"children/number");(0,sre.MathspeakSpanish.defineRuleAlias_)("negative",
"self::prefixop",'@role="negative"','children/fraction[@role="vulgar"]');(0,sre.MathspeakSpanish.defineRule_)("negative","mathspeak.default",'[t] "menos"; [n] children/*[1]',"self::prefixop",'@role="negative"');(0,sre.MathspeakSpanish.defineRule_)("prefix","mathspeak.default","[n] text(); [n] children/*[1]","self::prefixop");(0,sre.MathspeakSpanish.defineRule_)("postfix","mathspeak.default","[n] children/*[1]; [n] text()","self::postfixop");(0,sre.MathspeakSpanish.defineRule_)("binary-operation",
"mathspeak.default","[m] children/* (sepFunc:CTXFcontentIterator);","self::infixop");(0,sre.MathspeakSpanish.defineRule_)("implicit","mathspeak.default","[m] children/*","self::infixop",'@role="implicit"');(0,sre.MathspeakSpanish.defineRuleAlias_)("implicit","self::infixop",'@role="leftsuper" or @role="leftsub" or @role="rightsuper" or @role="rightsub"');(0,sre.MathspeakSpanish.defineRule_)("subtraction","mathspeak.default",'[m] children/* (separator:"menos");',"self::infixop",'@role="subtraction"');
(0,sre.MathspeakSpanish.defineRule_)("function-unknown","mathspeak.default","[n] children/*[1]; [n] children/*[2]","self::appl");(0,sre.MathspeakSpanish.defineRule_)("function-prefix","mathspeak.default","[n] children/*[1]; [n] children/*[2]","self::appl",'children/*[1][@role="prefix function"]');(0,sre.MathspeakSpanish.defineRule_)("fences-open-close","mathspeak.default","[n] content/*[1]; [n] children/*[1]; [n] content/*[2]","self::fenced",'@role="leftright"');(0,sre.MathspeakSpanish.defineRule_)("fences-neutral",
"mathspeak.default",'[t] "empezar valor absoluto"; [n] children/*[1]; [t] "finalizar valor absoluto"',"self::fenced",'@role="neutral"','content/*[1][text()]="|" or content/*[1][text()]="\u2758" or content/*[1][text()]="\uff5c"');(0,sre.MathspeakSpanish.defineSpecialisedRule_)("fences-neutral","mathspeak.default","mathspeak.sbrief",'[t] "valor absoluto"; [n] children/*[1]; [t] "finalizar valor absoluto"');(0,sre.MathspeakSpanish.defineRule_)("fences-neutral","mathspeak.default","[n] content/*[1]; [n] children/*[1]; [n] content/*[2]",
"self::fenced",'@role="neutral"');(0,sre.MathspeakSpanish.defineRule_)("fences-set","mathspeak.default",'[t] "empezar llave"; [n] children/*[1]; [t] "finalizar llave"',"self::fenced",'@role="leftright"','content/*[1][text()]="{"','content/*[2][text()]="}"',"count(children/*)=1",'not(name(../..)="appl")');(0,sre.MathspeakSpanish.defineSpecialisedRule_)("fences-set","mathspeak.default","mathspeak.sbrief",'[t] "llave"; [n] children/*[1]; [t] "finalizar llave"');(0,sre.MathspeakSpanish.defineRule_)("text",
"mathspeak.default","[m] CQFtextEvaluator","self::text");(0,sre.MathspeakSpanish.defineRule_)("factorial","mathspeak.default",'[t] "factorial"',"self::punctuation",'text()="!"','name(preceding-sibling::*[1])!="text"');(0,sre.MathspeakSpanish.defineRule_)("minus","mathspeak.default",'[t] "menos"',"self::operator",'text()="-"');(0,sre.MathspeakSpanish.defineRule_)("single-prime","mathspeak.default",'[t] "prima"',"self::punctuated",'@role="prime"',"count(children/*)=1");(0,sre.MathspeakSpanish.defineRule_)("double-prime",
"mathspeak.default",'[t] "doble prima"',"self::punctuated",'@role="prime"',"count(children/*)=2");(0,sre.MathspeakSpanish.defineRule_)("triple-prime","mathspeak.default",'[t] "triple prima"',"self::punctuated",'@role="prime"',"count(children/*)=3");(0,sre.MathspeakSpanish.defineRule_)("quadruple-prime","mathspeak.default",'[t] "cuadruplicar prima"',"self::punctuated",'@role="prime"',"count(children/*)=4");(0,sre.MathspeakSpanish.defineRule_)("counted-prime","mathspeak.default",'[t] count(children/*); [t] "prime"',
"self::punctuated",'@role="prime"');(0,sre.MathspeakSpanish.defineRule_)("fraction","mathspeak.default","[t] CSFopenFracVerbose; [n] children/*[1]; [t] CSFoverFracVerbose; [n] children/*[2]; [t] CSFcloseFracVerbose","self::fraction");(0,sre.MathspeakSpanish.defineRule_)("fraction","mathspeak.brief","[t] CSFopenFracBrief; [n] children/*[1]; [t] CSFoverFracVerbose; [n] children/*[2]; [t] CSFcloseFracBrief","self::fraction");(0,sre.MathspeakSpanish.defineRule_)("fraction","mathspeak.sbrief","[t] CSFopenFracSbrief; [n] children/*[1]; [t] CSFoverFracSbrief; [n] children/*[2]; [t] CSFcloseFracSbrief",
"self::fraction");(0,sre.MathspeakSpanish.defineRule_)("continued-fraction-outer","mathspeak.default",'[t] "fracci\u00f3n continua"; [n] children/*[1];[t] "entre"; [n] children/*[2]',"self::fraction","not(ancestor::fraction)",'children/*[2]/descendant-or-self::*[@role="ellipsis" and not(following-sibling::*)]');(0,sre.MathspeakSpanish.defineSpecialisedRule_)("continued-fraction-outer","mathspeak.default","mathspeak.brief",'[t] "frac continua"; [n] children/*[1];[t] "entre"; [n] children/*[2]');(0,sre.MathspeakSpanish.defineSpecialisedRule_)("continued-fraction-outer",
"mathspeak.brief","mathspeak.sbrief");(0,sre.MathspeakSpanish.defineRule_)("continued-fraction-inner","mathspeak.default",'[t] "empezar fracci\u00f3n"; [n] children/*[1];[t] "entre"; [n] children/*[2]',"self::fraction","ancestor::fraction",'children/*[2]/descendant-or-self::*[@role="ellipsis" and not(following-sibling::*)]');(0,sre.MathspeakSpanish.defineSpecialisedRule_)("continued-fraction-inner","mathspeak.default","mathspeak.brief",'[t] "empezar frac"; [n] children/*[1];[t] "entre"; [n] children/*[2]');
(0,sre.MathspeakSpanish.defineSpecialisedRule_)("continued-fraction-inner","mathspeak.brief","mathspeak.sbrief",'[t] "frac"; [n] children/*[1];[t] "entre"; [n] children/*[2]');(0,sre.MathspeakSpanish.defineRule_)("sqrt","mathspeak.default","[t] CSFopenRadicalVerbose; [n] children/*[1]; [t] CSFcloseRadicalVerbose","self::sqrt");(0,sre.MathspeakSpanish.defineRule_)("sqrt","mathspeak.brief","[t] CSFopenRadicalBrief; [n] children/*[1]; [t] CSFcloseRadicalBrief","self::sqrt");(0,sre.MathspeakSpanish.defineRule_)("sqrt",
"mathspeak.sbrief","[t] CSFopenRadicalSbrief; [n] children/*[1]; [t] CSFcloseRadicalBrief","self::sqrt");(0,sre.MathspeakSpanish.defineRule_)("root-small","mathspeak.default","[t] CSFopenRadicalVerbose; [n] children/*[2]; [t] CSFcloseRadicalVerbose","self::root","CQFisSmallRoot");(0,sre.MathspeakSpanish.defineRule_)("root-small","mathspeak.brief","[t] CSFopenRadicalBrief; [n] children/*[2]; [t] CSFcloseRadicalBrief","self::root","CQFisSmallRoot");(0,sre.MathspeakSpanish.defineRule_)("root-small",
"mathspeak.sbrief","[t] CSFopenRadicalSbrief; [n] children/*[2]; [t] CSFcloseRadicalBrief","self::root","CQFisSmallRoot");(0,sre.MathspeakSpanish.defineRule_)("root","mathspeak.default","[t] CSFindexRadicalVerbose; [n] children/*[1];[t] CSFopenRadicalVerbose; [n] children/*[2]; [t] CSFcloseRadicalVerbose","self::root");(0,sre.MathspeakSpanish.defineRule_)("root","mathspeak.brief","[t] CSFindexRadicalBrief; [n] children/*[1];[t] CSFopenRadicalBrief; [n] children/*[2]; [t] CSFcloseRadicalBrief","self::root");
(0,sre.MathspeakSpanish.defineRule_)("root","mathspeak.sbrief","[t] CSFindexRadicalSbrief; [n] children/*[1];[t] CSFopenRadicalSbrief; [n] children/*[2]; [t] CSFcloseRadicalBrief","self::root");(0,sre.MathspeakSpanish.defineRule_)("limboth","mathspeak.default","[n] children/*[1]; [t] CSFunderscript; [n] children/*[2];[t] CSFoverscript; [n] children/*[3]","self::limboth",'name(../..)="underscore" or name(../..)="overscore"','following-sibling::*[@role!="underaccent" and @role!="overaccent"]');(0,sre.MathspeakSpanish.defineRule_)("limlower",
"mathspeak.default","[n] children/*[1]; [t] CSFunderscript; [n] children/*[2];","self::limlower",'name(../..)="underscore" or name(../..)="overscore"','following-sibling::*[@role!="underaccent" and @role!="overaccent"]');(0,sre.MathspeakSpanish.defineRule_)("limupper","mathspeak.default","[n] children/*[1]; [t] CSFoverscript; [n] children/*[2];","self::limupper",'name(../..)="underscore" or name(../..)="overscore"','following-sibling::*[@role!="underaccent" and @role!="overaccent"]');(0,sre.MathspeakSpanish.defineRuleAlias_)("limlower",
"self::underscore",'@role="limit function"','name(../..)="underscore" or name(../..)="overscore"','following-sibling::*[@role!="underaccent" and @role!="overaccent"]');(0,sre.MathspeakSpanish.defineRuleAlias_)("limlower","self::underscore",'children/*[2][@role!="underaccent"]','name(../..)="underscore" or name(../..)="overscore"','following-sibling::*[@role!="underaccent" and @role!="overaccent"]');(0,sre.MathspeakSpanish.defineRuleAlias_)("limupper","self::overscore",'children/*[2][@role!="overaccent"]',
'name(../..)="underscore" or name(../..)="overscore"','following-sibling::*[@role!="underaccent" and @role!="overaccent"]');(0,sre.MathspeakSpanish.defineRule_)("limboth-end","mathspeak.default",'[n] children/*[1]; [t] CSFunderscript; [n] children/*[2];[t] CSFoverscript; [n] children/*[3]; [t] "finalizar \u00edndices"',"self::limboth");(0,sre.MathspeakSpanish.defineRule_)("limlower-end","mathspeak.default",'[n] children/*[1]; [t] CSFunderscript; [n] children/*[2]; [t] "finalizar \u00edndices"',"self::limlower");
(0,sre.MathspeakSpanish.defineRule_)("limupper-end","mathspeak.default",'[n] children/*[1]; [t] CSFoverscript; [n] children/*[2]; [t] "finalizar \u00edndices"',"self::limupper");(0,sre.MathspeakSpanish.defineRuleAlias_)("limlower-end","self::underscore",'@role="limit function"');(0,sre.MathspeakSpanish.defineRuleAlias_)("limlower-end","self::underscore");(0,sre.MathspeakSpanish.defineRuleAlias_)("limupper-end","self::overscore");(0,sre.MathspeakSpanish.defineRule_)("integral","mathspeak.default",
"[n] children/*[1]; [n] children/*[2]; [n] children/*[3];","self::integral");(0,sre.MathspeakSpanish.defineRule_)("integral","mathspeak.default",'[n] children/*[1]; [t] "definida"; [t] "sub\u00edndice"; [n] children/*[2];[t] "super\u00edndice"; [n] children/*[3]; [t] "l\u00ednea base";',"self::limboth",'@role="integral"');(0,sre.MathspeakSpanish.defineSpecialisedRule_)("integral","mathspeak.default","mathspeak.brief",'[n] children/*[1]; [t] "Sub"; [n] children/*[2];[t] "Sup"; [n] children/*[3]; [t] "Base";');
(0,sre.MathspeakSpanish.defineSpecialisedRule_)("integral","mathspeak.brief","mathspeak.sbrief");(0,sre.MathspeakSpanish.defineRule_)("bigop","mathspeak.default","[n] children/*[1]; [n] children/*[2];","self::bigop");(0,sre.MathspeakSpanish.defineRule_)("relseq","mathspeak.default","[m] children/* (sepFunc:CTXFcontentIterator)","self::relseq");(0,sre.MathspeakSpanish.defineRule_)("equality","mathspeak.default","[n] children/*[1]; [n] content/*[1]; [n] children/*[2]","self::relseq",'@role="equality"',
"count(./children/*)=2");(0,sre.MathspeakSpanish.defineRule_)("multi-equality","mathspeak.default","[m] children/* (sepFunc:CTXFcontentIterator)","self::relseq",'@role="equality"',"count(./children/*)>2");(0,sre.MathspeakSpanish.defineRule_)("multrel","mathspeak.default","[m] children/* (sepFunc:CTXFcontentIterator)","self::multirel");(0,sre.MathspeakSpanish.defineRule_)("subscript","mathspeak.default","[n] children/*[1]; [t] CSFsubscriptVerbose; [n] children/*[2]","self::subscript");(0,sre.MathspeakSpanish.defineRule_)("subscript",
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(0,sre.MathspeakSpanish.defineRule_)("rightbar","mathspeak.default",'[n] children/*[1]; [t] "barra vertical"',"self::enclose",'@role="right"');(0,sre.MathspeakSpanish.defineRule_)("crossout","mathspeak.default",'[t] "tachado"; [n] children/*[1]; [t] "finalizar tachado"',"self::enclose",'@role="updiagonalstrike" or @role="downdiagonalstrike" or @role="horizontalstrike"');(0,sre.MathspeakSpanish.defineRule_)("cancel","mathspeak.default",'[t] "tachado"; [n] children/*[1]/children/*[1]; [t] "con"; [n] children/*[2]; [t] "finalizar tachado"',
"self::overscore",'@role="updiagonalstrike" or @role="downdiagonalstrike" or @role="horizontalstrike"');(0,sre.MathspeakSpanish.defineSpecialisedRule_)("cancel","mathspeak.default","mathspeak.brief");(0,sre.MathspeakSpanish.defineSpecialisedRule_)("cancel","mathspeak.default","mathspeak.sbrief");(0,sre.MathspeakSpanish.defineRuleAlias_)("cancel","self::underscore",'@role="updiagonalstrike" or @role="downdiagonalstrike" or @role="horizontalstrike"');(0,sre.MathspeakSpanish.defineRule_)("cancel-reverse",
"mathspeak.default",'[t] "tachado"; [n] children/*[2]/children/*[1]; [t] "con"; [n] children/*[1]; [t] "finalizar tachado"',"self::overscore",'name(children/*[2])="enclose"','children/*[2][@role="updiagonalstrike" or @role="downdiagonalstrike" or @role="horizontalstrike"]');(0,sre.MathspeakSpanish.defineSpecialisedRule_)("cancel-reverse","mathspeak.default","mathspeak.brief");(0,sre.MathspeakSpanish.defineSpecialisedRule_)("cancel-reverse","mathspeak.default","mathspeak.sbrief");(0,sre.MathspeakSpanish.defineRuleAlias_)("cancel-reverse",
"self::underscore",'name(children/*[2])="enclose"','children/*[2][@role="updiagonalstrike" or @role="downdiagonalstrike" or @role="horizontalstrike"]');(0,sre.MathspeakSpanish.defineRule_)("end-punct","mathspeak.default","[m] children/*","self::punctuated",'@role="endpunct"');(0,sre.MathspeakSpanish.defineRule_)("start-punct","mathspeak.default","[n] content/*[1]; [m] children/*[position()>1]","self::punctuated",'@role="startpunct"');(0,sre.MathspeakSpanish.defineRule_)("integral-punct","mathspeak.default",
"[n] children/*[1]; [n] children/*[3]","self::punctuated",'@role="integral"');(0,sre.MathspeakSpanish.defineRule_)("punctuated","mathspeak.default","[m] children/*","self::punctuated");(0,sre.MathspeakSpanish.defineRule_)("unit","mathspeak.default",'[t] text() (grammar:annotation="unit":translate)',"self::identifier",'@role="unit"');(0,sre.MathspeakSpanish.defineRule_)("unit","mathspeak.default",'[t] text() (grammar:annotation="unit":translate:plural)',"self::identifier",'@role="unit"','not(contains(@grammar, "singularUnit"))');
(0,sre.MathspeakSpanish.defineRule_)("unit-square","mathspeak.default",'[t] "square"; [n] children/*[1]',"self::superscript",'@role="unit"',"children/*[2][text()=2]",'name(children/*[1])="identifier"');(0,sre.MathspeakSpanish.defineRule_)("unit-cubic","mathspeak.default",'[t] "cubic"; [n] children/*[1]',"self::superscript",'@role="unit"',"children/*[2][text()=3]",'name(children/*[1])="identifier"');(0,sre.MathspeakSpanish.defineRule_)("reciprocal","mathspeak.default",'[t] "reciprocal"; [n] children/*[1]',
"self::superscript",'@role="unit"','name(children/*[1])="identifier"','name(children/*[2])="prefixop"','children/*[2][@role="negative"]',"children/*[2]/children/*[1][text()=1]",'count(preceding-sibling::*)=0 or preceding-sibling::*[@role!="unit"]');(0,sre.MathspeakSpanish.defineRule_)("reciprocal","mathspeak.default",'[t] "per"; [n] children/*[1]',"self::superscript",'@role="unit"','name(children/*[1])="identifier"','name(children/*[2])="prefixop"','children/*[2][@role="negative"]',"children/*[2]/children/*[1][text()=1]",
'preceding-sibling::*[@role="unit"]');(0,sre.MathspeakSpanish.defineRule_)("unit-combine","mathspeak.default","[m] children/* (sepFunc:CTXFunitMultipliers)","self::infixop",'@role="unit"');(0,sre.MathspeakSpanish.defineRule_)("unit-combine","mathspeak.default","[m] children/* (sepFunc:CTXFunitMultipliers);","self::infixop",'@role="multiplication" or @role="implicit"','children/*[@role="unit"]');(0,sre.MathspeakSpanish.defineRule_)("unit-combine","mathspeak.default","[n] . (grammar:singularUnit);",
"self::infixop",'@role="multiplication" or @role="implicit"','children/*[@role="unit"]','not(contains(@grammar, "singularUnit"))',"CQFoneLeft");(0,sre.MathspeakSpanish.defineRule_)("unit-divide","mathspeak.default",'[n] children/*[1]; [t] "per"; [n] children/*[2]',"self::fraction",'@role="unit"')};sre.MathspeakSpanish.componentString_={2:"CSFbaseline",1:"CSFsubscript",0:"CSFsuperscript"};sre.MathspeakSpanish.childNumber_={4:2,3:3,2:1,1:4,0:5};
sre.MathspeakSpanish.generateTensorRuleStrings_=function(a){var b=[],c="",d="";a=parseInt(a,2);for(var e=0;5>e;e++){var f="children/*["+sre.MathspeakSpanish.childNumber_[e]+"]";if(a&1){var g=sre.MathspeakSpanish.componentString_[e%3];c="[t] "+g+"Verbose; [n] "+f+";"+c;d="[t] "+g+"Brief; [n] "+f+";"+d}else b.unshift("name("+f+')="empty"');a>>=1}b.push(c);b.push(d);return b};
sre.MathspeakSpanish.generateMathspeakTensorRules_=function(){for(var a="11111 11110 11101 11100 10111 10110 10101 10100 01111 01110 01101 01100".split(" "),b=0,c;c=a[b];b++){var d="tensor"+c;c=sre.MathspeakSpanish.generateTensorRuleStrings_(c);var e=c.pop(),f=c.pop(),g=[d,"mathspeak.default",f,"self::tensor"].concat(c),h=[d,"mathspeak.brief",e,"self::tensor"].concat(c);sre.MathspeakSpanish.defineRule_.apply(null,g);sre.MathspeakSpanish.defineRule_.apply(null,h);(0,sre.MathspeakSpanish.defineSpecialisedRule_)(d,
"mathspeak.brief","mathspeak.sbrief");g=sre.MathspeakSpanish.componentString_[2];f+="; [t]"+g+"Verbose";e+="; [t]"+g+"Brief";d+="-baseline";g=[d,"mathspeak.default",f,"self::tensor","following-sibling::*"].concat(c);h=[d,"mathspeak.brief",e,"self::tensor","following-sibling::*"].concat(c);sre.MathspeakSpanish.defineRule_.apply(null,g);sre.MathspeakSpanish.defineRule_.apply(null,h);(0,sre.MathspeakSpanish.defineSpecialisedRule_)(d,"mathspeak.brief","mathspeak.sbrief");d=[d,"self::tensor","not(following-sibling::*)",
"ancestor::fraction|ancestor::punctuated|ancestor::fenced|ancestor::root|ancestor::sqrt|ancestor::relseq|ancestor::multirel|@embellished"].concat(c);sre.MathspeakSpanish.defineRuleAlias_.apply(null,d)}};sre.MathspeakSpanish.getInstance().initializer=[sre.MathspeakSpanish.initCustomFunctions_,sre.MathspeakSpanish.initMathspeakSpanish_,sre.MathspeakSpanish.generateMathspeakTensorRules_];sre.PrefixRules=function(){sre.MathStore.call(this)};goog.inherits(sre.PrefixRules,sre.MathStore);goog.addSingletonGetter(sre.PrefixRules);sre.PrefixRules.mathStore=sre.PrefixRules.getInstance();sre.PrefixRules.defineRule_=goog.bind(sre.PrefixRules.mathStore.defineRule,sre.PrefixRules.mathStore);sre.PrefixRules.defineRuleAlias_=goog.bind(sre.PrefixRules.mathStore.defineRulesAlias,sre.PrefixRules.mathStore);sre.PrefixRules.addCustomString_=goog.bind(sre.PrefixRules.mathStore.customStrings.add,sre.PrefixRules.mathStore.customStrings);
sre.PrefixRules.ordinalPosition=function(a){var b=sre.DomUtil.toArray(a.parentNode.childNodes);return sre.MathspeakUtil.simpleOrdinal(b.indexOf(a)+1).toString()};sre.PrefixRules.initCustomFunctions_=function(){(0,sre.PrefixRules.addCustomString_)("CSFordinalPosition",sre.PrefixRules.ordinalPosition)};
sre.PrefixRules.initPrefixRules_=function(){(0,sre.PrefixRules.defineRule_)("numerator","prefix.default",'[t] "Numerator"; [p] (pause:200)',"self::*",'name(../..)="fraction"',"count(preceding-sibling::*)=0");(0,sre.PrefixRules.defineRule_)("denominator","prefix.default",'[t] "Denominator"; [p] (pause:200)',"self::*",'name(../..)="fraction"',"count(preceding-sibling::*)=1");(0,sre.PrefixRules.defineRule_)("base","prefix.default",'[t] "Base"; [p] (pause:200)',"self::*",'name(../..)="superscript" or name(../..)="subscript" or name(../..)="overscore" or name(../..)="underscore" or name(../..)="tensor"',
"count(preceding-sibling::*)=0");(0,sre.PrefixRules.defineRule_)("exponent","prefix.default",'[t] "Exponent"; [p] (pause:200)',"self::*",'name(../..)="superscript"',"count(preceding-sibling::*)=1");(0,sre.PrefixRules.defineRule_)("subscript","prefix.default",'[t] "Subscript"; [p] (pause:200)',"self::*",'name(../..)="subscript"',"count(preceding-sibling::*)=1");(0,sre.PrefixRules.defineRule_)("overscript","prefix.default",'[t] "Overscript"; [p] (pause:200)',"self::*",'name(../..)="overscore"',"count(preceding-sibling::*)=1");
(0,sre.PrefixRules.defineRule_)("underscript","prefix.default",'[t] "Underscript"; [p] (pause:200)',"self::*",'name(../..)="underscore"',"count(preceding-sibling::*)=1");(0,sre.PrefixRules.defineRule_)("radicand","prefix.default",'[t] "Radicand"; [p] (pause:200)',"self::*",'name(../..)="sqrt"');(0,sre.PrefixRules.defineRule_)("radicand","prefix.default",'[t] "Radicand"; [p] (pause:200)',"self::*",'name(../..)="root"',"count(preceding-sibling::*)=1");(0,sre.PrefixRules.defineRule_)("index","prefix.default",
'[t] "Index"; [p] (pause:200)',"self::*",'name(../..)="root"',"count(preceding-sibling::*)=0");(0,sre.PrefixRules.defineRule_)("leftsub","prefix.default",'[t] "Left Subscript"; [p] (pause:200)',"self::*",'name(../..)="tensor"','@role="leftsub"');(0,sre.PrefixRules.defineRule_)("leftsub","prefix.default",'[t] CSFordinalPosition; [t] "Left Subscript"; [p] (pause:200)',"self::*",'name(../..)="punctuated"','name(../../../..)="tensor"','../../@role="leftsub"');(0,sre.PrefixRules.defineRule_)("leftsuper",
"prefix.default",'[t] "Left Superscript"; [p] (pause:200)',"self::*",'name(../..)="tensor"','@role="leftsuper"');(0,sre.PrefixRules.defineRule_)("leftsuper","prefix.default",'[t] CSFordinalPosition; [t] "Left Superscript"; [p] (pause:200)',"self::*",'name(../..)="punctuated"','name(../../../..)="tensor"','../../@role="leftsuper"');(0,sre.PrefixRules.defineRule_)("rightsub","prefix.default",'[t] "Right Subscript"; [p] (pause:200)',"self::*",'name(../..)="tensor"','@role="rightsub"');(0,sre.PrefixRules.defineRule_)("rightsub",
"prefix.default",'[t] CSFordinalPosition; [t] "Right Subscript"; [p] (pause:200)',"self::*",'name(../..)="punctuated"','name(../../../..)="tensor"','../../@role="rightsub"');(0,sre.PrefixRules.defineRule_)("rightsuper","prefix.default",'[t] "Right Superscript"; [p] (pause:200)',"self::*",'name(../..)="tensor"','@role="rightsuper"');(0,sre.PrefixRules.defineRule_)("rightsuper","prefix.default",'[t] CSFordinalPosition; [t] "Right Superscript"; [p] (pause:200)',"self::*",'name(../..)="punctuated"','name(../../../..)="tensor"',
'../../@role="rightsuper"');(0,sre.PrefixRules.defineRule_)("choice","prefix.default",'[t] "Choice Quantity"; [p] (pause:200)',"self::line",'@role="binomial"',"parent::*/parent::vector","count(preceding-sibling::*)=0");(0,sre.PrefixRules.defineRule_)("select","prefix.default",'[t] "Selection Quantity"; [p] (pause:200)',"self::line",'@role="binomial"',"parent::*/parent::vector","count(preceding-sibling::*)=1");(0,sre.PrefixRules.defineRule_)("row","prefix.default",'[t] CSFordinalPosition; [t] "Row"; [p] (pause:200)',
"self::row");(0,sre.PrefixRules.defineRuleAlias_)("row","self::line");(0,sre.PrefixRules.defineRule_)("cell","prefix.default",'[n] ../..; [t] CSFordinalPosition; [t] "Column"; [p] (pause:200)',"self::cell",'contains(@grammar,"depth")');(0,sre.PrefixRules.defineRule_)("cell","prefix.default",'[t] CSFordinalPosition; [t] "Column"; [p] (pause:200)',"self::cell")};sre.PrefixRules.getInstance().initializer=[sre.PrefixRules.initCustomFunctions_,sre.PrefixRules.initPrefixRules_];sre.PrefixSpanish=function(){sre.MathStore.call(this);this.locale="es"};goog.inherits(sre.PrefixSpanish,sre.MathStore);goog.addSingletonGetter(sre.PrefixSpanish);sre.PrefixSpanish.mathStore=sre.PrefixSpanish.getInstance();sre.PrefixSpanish.defineRule_=goog.bind(sre.PrefixSpanish.mathStore.defineRule,sre.PrefixSpanish.mathStore);sre.PrefixSpanish.defineRuleAlias_=goog.bind(sre.PrefixSpanish.mathStore.defineRulesAlias,sre.PrefixSpanish.mathStore);
sre.PrefixSpanish.addCustomString_=goog.bind(sre.PrefixSpanish.mathStore.customStrings.add,sre.PrefixSpanish.mathStore.customStrings);sre.PrefixSpanish.ordinalPosition=function(a){var b=sre.DomUtil.toArray(a.parentNode.childNodes);return sre.MathspeakUtil.simpleOrdinal(b.indexOf(a)+1).toString()};sre.PrefixSpanish.initCustomFunctions_=function(){(0,sre.PrefixSpanish.addCustomString_)("CSFordinalPosition",sre.PrefixSpanish.ordinalPosition)};
sre.PrefixSpanish.initPrefixSpanish_=function(){(0,sre.PrefixSpanish.defineRule_)("numerator","prefix.default",'[t] "numerador"; [p] (pause:200)',"self::*",'name(../..)="fraction"',"count(preceding-sibling::*)=0");(0,sre.PrefixSpanish.defineRule_)("denominator","prefix.default",'[t] "denominador"; [p] (pause:200)',"self::*",'name(../..)="fraction"',"count(preceding-sibling::*)=1");(0,sre.PrefixSpanish.defineRule_)("base","prefix.default",'[t] "base"; [p] (pause:200)',"self::*",'name(../..)="superscript" or name(../..)="subscript" or name(../..)="overscore" or name(../..)="underscore" or name(../..)="tensor"',
"count(preceding-sibling::*)=0");(0,sre.PrefixSpanish.defineRule_)("exponent","prefix.default",'[t] "exponente"; [p] (pause:200)',"self::*",'name(../..)="superscript"',"count(preceding-sibling::*)=1");(0,sre.PrefixSpanish.defineRule_)("subscript","prefix.default",'[t] "sub\u00edndice"; [p] (pause:200)',"self::*",'name(../..)="subscript"',"count(preceding-sibling::*)=1");(0,sre.PrefixSpanish.defineRule_)("overscript","prefix.default",'[t] "overscript"; [p] (pause:200)',"self::*",'name(../..)="overscore"',
"count(preceding-sibling::*)=1");(0,sre.PrefixSpanish.defineRule_)("underscript","prefix.default",'[t] "underscript"; [p] (pause:200)',"self::*",'name(../..)="underscore"',"count(preceding-sibling::*)=1");(0,sre.PrefixSpanish.defineRule_)("radicand","prefix.default",'[t] "radicand"; [p] (pause:200)',"self::*",'name(../..)="sqrt"');(0,sre.PrefixSpanish.defineRule_)("radicand","prefix.default",'[t] "radicand"; [p] (pause:200)',"self::*",'name(../..)="root"',"count(preceding-sibling::*)=1");(0,sre.PrefixSpanish.defineRule_)("index",
"prefix.default",'[t] "\u00edndice"; [p] (pause:200)',"self::*",'name(../..)="root"',"count(preceding-sibling::*)=0");(0,sre.PrefixSpanish.defineRule_)("leftsub","prefix.default",'[t] "sub\u00edndice izquierdo"; [p] (pause:200)',"self::*",'name(../..)="tensor"','@role="leftsub"');(0,sre.PrefixSpanish.defineRule_)("leftsub","prefix.default",'[t] CSFordinalPosition; [t] "sub\u00edndice izquierdo"; [p] (pause:200)',"self::*",'name(../..)="punctuated"','name(../../../..)="tensor"','../../@role="leftsub"');
(0,sre.PrefixSpanish.defineRule_)("leftsuper","prefix.default",'[t] "super\u00edndice izquierdo"; [p] (pause:200)',"self::*",'name(../..)="tensor"','@role="leftsuper"');(0,sre.PrefixSpanish.defineRule_)("leftsuper","prefix.default",'[t] CSFordinalPosition; [t] "super\u00edndice izquierdo"; [p] (pause:200)',"self::*",'name(../..)="punctuated"','name(../../../..)="tensor"','../../@role="leftsuper"');(0,sre.PrefixSpanish.defineRule_)("rightsub","prefix.default",'[t] "derecha sub\u00edndice"; [p] (pause:200)',
"self::*",'name(../..)="tensor"','@role="rightsub"');(0,sre.PrefixSpanish.defineRule_)("rightsub","prefix.default",'[t] CSFordinalPosition; [t] "derecha sub\u00edndice"; [p] (pause:200)',"self::*",'name(../..)="punctuated"','name(../../../..)="tensor"','../../@role="rightsub"');(0,sre.PrefixSpanish.defineRule_)("rightsuper","prefix.default",'[t] "super\u00edndice derecho"; [p] (pause:200)',"self::*",'name(../..)="tensor"','@role="rightsuper"');(0,sre.PrefixSpanish.defineRule_)("rightsuper","prefix.default",
'[t] CSFordinalPosition; [t] "super\u00edndice derecho"; [p] (pause:200)',"self::*",'name(../..)="punctuated"','name(../../../..)="tensor"','../../@role="rightsuper"');(0,sre.PrefixSpanish.defineRule_)("choice","prefix.default",'[t] "cantidad de elecci\u00f3n"; [p] (pause:200)',"self::line",'@role="binomial"',"parent::*/parent::vector","count(preceding-sibling::*)=0");(0,sre.PrefixSpanish.defineRule_)("select","prefix.default",'[t] "cantidad de selecci\u00f3n"; [p] (pause:200)',"self::line",'@role="binomial"',
"parent::*/parent::vector","count(preceding-sibling::*)=1");(0,sre.PrefixSpanish.defineRule_)("row","prefix.default",'[t] CSFordinalPosition; [t] "fila"; [p] (pause:200)',"self::row");(0,sre.PrefixSpanish.defineRuleAlias_)("row","self::line");(0,sre.PrefixSpanish.defineRule_)("cell","prefix.default",'[n] ../..; [t] CSFordinalPosition; [t] "columna"; [p] (pause:200)',"self::cell",'contains(@grammar,"depth")');(0,sre.PrefixSpanish.defineRule_)("cell","prefix.default",'[t] CSFordinalPosition; [t] "columna"; [p] (pause:200)',
"self::cell")};sre.PrefixSpanish.getInstance().initializer=[sre.PrefixSpanish.initCustomFunctions_,sre.PrefixSpanish.initPrefixSpanish_];sre.SemanticTreeRules=function(){sre.MathStore.call(this)};goog.inherits(sre.SemanticTreeRules,sre.MathStore);goog.addSingletonGetter(sre.SemanticTreeRules);sre.SemanticTreeRules.mathStore=sre.SemanticTreeRules.getInstance();sre.SemanticTreeRules.defineRule_=goog.bind(sre.SemanticTreeRules.mathStore.defineRule,sre.SemanticTreeRules.mathStore);sre.SemanticTreeRules.defineRuleAlias_=goog.bind(sre.SemanticTreeRules.mathStore.defineRuleAlias,sre.SemanticTreeRules.mathStore);
sre.SemanticTreeRules.addContextFunction_=goog.bind(sre.SemanticTreeRules.mathStore.contextFunctions.add,sre.SemanticTreeRules.mathStore.contextFunctions);sre.SemanticTreeRules.initCustomFunctions_=function(){(0,sre.SemanticTreeRules.addContextFunction_)("CTXFnodeCounter",sre.StoreUtil.nodeCounter);(0,sre.SemanticTreeRules.addContextFunction_)("CTXFcontentIterator",sre.MathmlStoreUtil.contentIterator)};
sre.SemanticTreeRules.initSemanticRules_=function(){(0,sre.SemanticTreeRules.defineRule_)("stree","default.default","[n] ./*[1]","self::stree");(0,sre.SemanticTreeRules.defineRule_)("multrel","default.default",'[t] "multirelation"; [m] children/* (sepFunc:CTXFcontentIterator)',"self::multirel");(0,sre.SemanticTreeRules.defineRule_)("variable-equality","default.default",'[t] "equation sequence"; [m] children/* (context:"part",ctxtFunc:CTXFnodeCounter,sepFunc:CTXFcontentIterator)','self::relseq[@role="equality"]',
"count(./children/*)>2",'./children/punctuation[@role="ellipsis"]');(0,sre.SemanticTreeRules.defineRule_)("multi-equality","default.default",'[t] "equation sequence"; [m] children/* (context:"part",ctxtFunc:CTXFnodeCounter,sepFunc:CTXFcontentIterator)','self::relseq[@role="equality"]',"count(./children/*)>2");(0,sre.SemanticTreeRules.defineRule_)("multi-equality","default.short",'[t] "equation sequence"; [m] children/* (sepFunc:CTXFcontentIterator)','self::relseq[@role="equality"]',"count(./children/*)>2");
(0,sre.SemanticTreeRules.defineRule_)("equality","default.default","[n] children/*[1]; [p] (pause:200); [n] content/*[1] (pause:200);[n] children/*[2]",'self::relseq[@role="equality"]',"count(./children/*)=2");(0,sre.SemanticTreeRules.defineRule_)("simple-equality","default.default","[n] children/*[1]; [p] (pause:200); [n] content/*[1] (pause:200);[n] children/*[2]",'self::relseq[@role="equality"]',"count(./children/*)=2","./children/identifier or ./children/number");(0,sre.SemanticTreeRules.defineRule_)("simple-equality2",
"default.default","[n] children/*[1]; [p] (pause:200); [n] content/*[1] (pause:200);[n] children/*[2]",'self::relseq[@role="equality"]',"count(./children/*)=2","./children/function or ./children/appl");(0,sre.SemanticTreeRules.defineRule_)("relseq","default.default","[m] children/* (sepFunc:CTXFcontentIterator)","self::relseq");(0,sre.SemanticTreeRules.defineRule_)("binary-operation","default.default","[m] children/* (sepFunc:CTXFcontentIterator);","self::infixop");(0,sre.SemanticTreeRules.defineRule_)("variable-addition",
"default.default",'[t] "sum with variable number of summands";[p] (pause:400); [m] children/* (sepFunc:CTXFcontentIterator)','self::infixop[@role="addition"]',"count(children/*)>2",'children/punctuation[@role="ellipsis"]');(0,sre.SemanticTreeRules.defineRule_)("multi-addition","default.default",'[t] "sum with"; [t] count(./children/*); [t] "summands";[p] (pause:400); [m] children/* (sepFunc:CTXFcontentIterator)','self::infixop[@role="addition"]',"count(./children/*)>2");(0,sre.SemanticTreeRules.defineRule_)("prefix",
"default.default",'[t] "prefix"; [n] text(); [t] "of" (pause 150);[n] children/*[1]',"self::prefixop");(0,sre.SemanticTreeRules.defineRule_)("negative","default.default",'[t] "negative"; [n] children/*[1]',"self::prefixop",'self::prefixop[@role="negative"]');(0,sre.SemanticTreeRules.defineRule_)("postfix","default.default",'[n] children/*[1]; [t] "postfix"; [n] text() (pause 300)',"self::postfixop");(0,sre.SemanticTreeRules.defineRule_)("identifier","default.default","[n] text()","self::identifier");
(0,sre.SemanticTreeRules.defineRule_)("number","default.default","[n] text()","self::number");(0,sre.SemanticTreeRules.defineRule_)("mixed-number","default.default",'[n] children/*[1]; [t] "and"; [n] children/*[2]; ',"self::number",'@role="mixed"');(0,sre.SemanticTreeRules.defineRule_)("font","default.default","[t] @font; [n] . (grammar:ignoreFont=@font)","self::*","@font",'not(contains(@grammar, "ignoreFont"))','@font!="normal"');(0,sre.SemanticTreeRules.defineRule_)("font-identifier-short","default.default",
"[t] @font; [n] . (grammar:ignoreFont=@font)","self::identifier","string-length(text())=1","@font",'not(contains(@grammar, "ignoreFont"))','@font="normal"','""=translate(text(), "abcdefghijklmnopqrstuvwxyz\u03b1\u03b2\u03b3\u03b4\u03b5\u03b6\u03b7\u03b8\u03b9\u03ba\u03bb\u03bc\u03bd\u03be\u03bf\u03c0\u03c1\u03c2\u03c3\u03c4\u03c5\u03c6\u03c7\u03c8\u03c9ABCDEFGHIJKLMNOPQRSTUVWXYZ\u0391\u0392\u0393\u0394\u0395\u0396\u0397\u0398\u0399\u039a\u039b\u039c\u039d\u039e\u039f\u03a0\u03a1\u03a3\u03a3\u03a4\u03a5\u03a6\u03a7\u03a8\u03a9", "")',
'@role!="unit"');(0,sre.SemanticTreeRules.defineRule_)("font-identifier","default.default","[t] @font; [n] . (grammar:ignoreFont=@font)","self::identifier","string-length(text())=1","@font",'@font="normal"','not(contains(@grammar, "ignoreFont"))','@role!="unit"');(0,sre.SemanticTreeRules.defineRule_)("omit-font","default.default","[n] . (grammar:ignoreFont=@font)","self::identifier","string-length(text())=1","@font",'not(contains(@grammar, "ignoreFont"))','@font="italic"');(0,sre.SemanticTreeRules.defineRule_)("fraction",
"default.default",'[p] (pause:250); [n] children/*[1] (rate:0.35); [p] (pause:250); [t] "divided by"; [n] children/*[2] (rate:-0.35); [p] (pause:400)',"self::fraction");(0,sre.SemanticTreeRules.defineRule_)("superscript","default.default",'[n] children/*[1]; [t] "super"; [n] children/*[2] (pitch:0.35);[p] (pause:300)',"self::superscript");(0,sre.SemanticTreeRules.defineRule_)("subscript","default.default",'[n] children/*[1]; [t] "sub"; [n] children/*[2] (pitch:-0.35);[p] (pause:300)',"self::subscript");
(0,sre.SemanticTreeRules.defineRule_)("ellipsis","default.default",'[p] (pause:200); [t] "ellipsis"; [p] (pause:300)',"self::punctuation",'self::punctuation[@role="ellipsis"]');(0,sre.SemanticTreeRules.defineRule_)("fence-single","default.default","[n] text()","self::punctuation",'self::punctuation[@role="openfence"]');(0,sre.SemanticTreeRules.defineRuleAlias_)("fence-single","self::punctuation",'self::punctuation[@role="closefence"]');(0,sre.SemanticTreeRules.defineRuleAlias_)("fence-single","self::punctuation",
'self::punctuation[@role="vbar"]');(0,sre.SemanticTreeRules.defineRuleAlias_)("fence-single","self::punctuation",'self::punctuation[@role="application"]');(0,sre.SemanticTreeRules.defineRule_)("omit-empty","default.default","[p] (pause:100)","self::empty");(0,sre.SemanticTreeRules.defineRule_)("fences-open-close","default.default","[p] (pause:100); [n] content/*[1]; [n] children/*[1]; [n] content/*[2]; [p] (pause:100)","self::fenced",'@role="leftright"');(0,sre.SemanticTreeRules.defineRule_)("fences-open-close-in-appl",
"default.default","[p] (pause:200); [n] children/*[1]; [p] (pause:200);",'self::fenced[@role="leftright"]',"./parent::children/parent::appl");(0,sre.SemanticTreeRules.defineRule_)("fences-neutral","default.default",'[p] (pause:100); [t] "absolute value of"; [n] children/*[1];[p] (pause:350);',"self::fenced",'self::fenced[@role="neutral"]');(0,sre.SemanticTreeRules.defineRule_)("omit-fences","default.default","[p] (pause:500); [n] children/*[1]; [p] (pause:200);","self::fenced");(0,sre.SemanticTreeRules.defineRule_)("matrix",
"default.default",'[t] "matrix"; [m] children/* (ctxtFunc:CTXFnodeCounter,context:"row",pause:100)',"self::matrix");(0,sre.SemanticTreeRules.defineRule_)("matrix-row","default.default",'[m] children/* (ctxtFunc:CTXFnodeCounter,context:"column",pause:100)','self::row[@role="matrix"]');(0,sre.SemanticTreeRules.defineRule_)("matrix-cell","default.default","[n] children/*[1]",'self::cell[@role="matrix"]');(0,sre.SemanticTreeRules.defineRule_)("vector","default.default",'[t] "vector"; [m] children/* (ctxtFunc:CTXFnodeCounter,context:"element",pause:100)',
"self::vector");(0,sre.SemanticTreeRules.defineRule_)("cases","default.default",'[t] "case statement"; [m] children/* (ctxtFunc:CTXFnodeCounter,context:"case",pause:100)',"self::cases");(0,sre.SemanticTreeRules.defineRule_)("cases-row","default.default","[m] children/*",'self::row[@role="cases"]');(0,sre.SemanticTreeRules.defineRule_)("cases-cell","default.default","[n] children/*[1]",'self::cell[@role="cases"]');(0,sre.SemanticTreeRules.defineRule_)("row","default.default",'[m] ./* (ctxtFunc:CTXFnodeCounter,context:"column",pause:100)',
"self::row");(0,sre.SemanticTreeRules.defineRule_)("cases-end","default.default",'[t] "case statement"; [m] children/* (ctxtFunc:CTXFnodeCounter,context:"case",pause:100);[t] "end cases"',"self::cases","following-sibling::*");(0,sre.SemanticTreeRules.defineRule_)("multiline","default.default",'[t] "multiline equation";[m] children/* (ctxtFunc:CTXFnodeCounter,context:"line",pause:100)',"self::multiline");(0,sre.SemanticTreeRules.defineRule_)("multiline-ineq","default.default",'[t] "multiline inequality";[m] children/* (ctxtFunc:CTXFnodeCounter,context:"row",pause:100)',
"self::multiline",'@role="inequality"');(0,sre.SemanticTreeRules.defineRule_)("line","default.default","[m] children/*","self::line");(0,sre.SemanticTreeRules.defineRule_)("table","default.default",'[t] "multiline equation";[m] children/* (ctxtFunc:CTXFnodeCounter,context:"row",pause:200)',"self::table");(0,sre.SemanticTreeRules.defineRule_)("table-ineq","default.default",'[t] "multiline inequality";[m] children/* (ctxtFunc:CTXFnodeCounter,context:"row",pause:200)',"self::table",'@role="inequality"');
(0,sre.SemanticTreeRules.defineRule_)("table-row","default.default","[m] children/* (pause:100)",'self::row[@role="table"]');(0,sre.SemanticTreeRules.defineRuleAlias_)("cases-cell",'self::cell[@role="table"]');(0,sre.SemanticTreeRules.defineRule_)("empty-cell","mathspeak.default",'[t] "Blank"',"self::cell","count(children/*)=0");(0,sre.SemanticTreeRules.defineRule_)("end-punct","default.default","[m] children/*; [p] (pause:300)","self::punctuated",'@role="endpunct"');(0,sre.SemanticTreeRules.defineRule_)("start-punct",
"default.default","[n] content/*[1]; [p] (pause:200); [m] children/*[position()>1]","self::punctuated",'@role="startpunct"');(0,sre.SemanticTreeRules.defineRule_)("integral-punct","default.default","[n] children/*[1] (rate:0.2); [n] children/*[3] (rate:0.2)","self::punctuated",'@role="integral"');(0,sre.SemanticTreeRules.defineRule_)("punctuated","default.default","[m] children/* (pause:100)","self::punctuated");(0,sre.SemanticTreeRules.defineRule_)("function","default.default","[n] text()","self::function");
(0,sre.SemanticTreeRules.defineRule_)("appl","default.default","[n] children/*[1]; [n] content/*[1]; [n] children/*[2]","self::appl");(0,sre.SemanticTreeRules.defineRule_)("sum-only","default.default",'[n] children/*[1]; [t] "from"; [n] children/*[2]; [t] "to";[n] children/*[3]',"self::limboth",'self::limboth[@role="sum"]');(0,sre.SemanticTreeRules.defineRule_)("limboth","default.default",'[n] children/*[1]; [p] (pause 100); [t] "over"; [n] children/*[2];[t] "under"; [n] children/*[3]; [p] (pause 250);',
"self::limboth");(0,sre.SemanticTreeRules.defineRule_)("limlower","default.default",'[n] children/*[1]; [t] "over"; [n] children/*[2];',"self::limlower");(0,sre.SemanticTreeRules.defineRule_)("limupper","default.default",'[n] children/*[1]; [t] "under"; [n] children/*[2];',"self::limupper");(0,sre.SemanticTreeRules.defineRule_)("largeop","default.default","[n] text()","self::largeop");(0,sre.SemanticTreeRules.defineRule_)("bigop","default.default",'[n] children/*[1]; [p] (pause 100); [t] "over"; [n] children/*[2];[p] (pause 250);',
"self::bigop");(0,sre.SemanticTreeRules.defineRule_)("integral","default.default","[n] children/*[1]; [p] (pause 100); [n] children/*[2];[p] (pause 200); [n] children/*[3] (rate:0.35);","self::integral");(0,sre.SemanticTreeRules.defineRule_)("sqrt","default.default",'[t] "Square root of"; [n] children/*[1] (rate:0.35); [p] (pause:400)',"self::sqrt");(0,sre.SemanticTreeRules.defineRule_)("square","default.default",'[n] children/*[1]; [t] "squared" (pitch:0.35); [p] (pause:300)',"self::superscript",
"children/*[2][text()=2]",'name(./children/*[1])!="text"');(0,sre.SemanticTreeRules.defineRule_)("cube","default.default",'[n] children/*[1]; [t] "cubed" (pitch:0.35); [p] (pause:300)',"self::superscript","children/*[2][text()=3]",'name(./children/*[1])!="text"');(0,sre.SemanticTreeRules.defineRule_)("root","default.default",'[t] "root of order"; [n] children/*[1];[t] "over"; [n] children/*[1] (rate:0.35); [p] (pause:400)',"self::root");(0,sre.SemanticTreeRules.defineRule_)("text","default.default",
"[n] text(); [p] (pause:200)","self::text");(0,sre.SemanticTreeRules.defineRule_)("unit","default.default",'[t] text() (grammar:annotation="unit":translate)',"self::identifier",'@role="unit"');(0,sre.SemanticTreeRules.defineRule_)("unit-square","default.default",'[t] "square"; [n] children/*[1]',"self::superscript",'@role="unit"',"children/*[2][text()=2]",'name(children/*[1])="identifier"');(0,sre.SemanticTreeRules.defineRule_)("unit-cubic","default.default",'[t] "cubic"; [n] children/*[1]',"self::superscript",
'@role="unit"',"children/*[2][text()=3]",'name(children/*[1])="identifier"');(0,sre.SemanticTreeRules.defineRule_)("reciprocal","default.default",'[t] "reciprocal"; [n] children/*[1]',"self::superscript",'@role="unit"','name(children/*[1])="identifier"','name(children/*[2])="prefixop"','children/*[2][@role="negative"]',"children/*[2]/children/*[1][text()=1]",'count(preceding-sibling::*)=0 or preceding-sibling::*[@role!="unit"]');(0,sre.SemanticTreeRules.defineRule_)("reciprocal","default.default",
'[t] "per"; [n] children/*[1]',"self::superscript",'@role="unit"','name(children/*[1])="identifier"','name(children/*[2])="prefixop"','children/*[2][@role="negative"]',"children/*[2]/children/*[1][text()=1]",'preceding-sibling::*[@role="unit"]');(0,sre.SemanticTreeRules.defineRule_)("unit-combine","default.default","[m] children/*","self::infixop",'@role="unit"');(0,sre.SemanticTreeRules.defineRule_)("unit-divide","default.default",'[n] children/*[1] (pitch:0.3); [t] "per"; [n] children/*[2] (pitch:-0.3)',
"self::fraction",'@role="unit"')};sre.SemanticTreeRules.getInstance().initializer=[sre.SemanticTreeRules.initCustomFunctions_,sre.SemanticTreeRules.initSemanticRules_];sre.SpeechRuleStores={};sre.SpeechRuleStores.RULE_SETS_={MathmlStoreRules:sre.MathmlStoreRules,SemanticTreeRules:sre.SemanticTreeRules,MathspeakRules:sre.MathspeakRules,MathspeakSpanish:sre.MathspeakSpanish,ClearspeakRules:sre.ClearspeakRules,EmacspeakRules:sre.EmacspeakRules,AbstractionRules:sre.AbstractionRules,AbstractionSpanish:sre.AbstractionSpanish,PrefixRules:sre.PrefixRules,PrefixSpanish:sre.PrefixSpanish};sre.SpeechRuleStores.availableSets=function(){return Object.keys(sre.SpeechRuleStores.RULE_SETS_)};
sre.SpeechRuleStores.getConstructor=function(a){return(a=sre.SpeechRuleStores.RULE_SETS_[a])?a:null};sre.SpeechRuleEngine=function(){this.activeStore_=null;this.cache_={};this.ready_=!0;this.combinedStores_={};sre.Engine.registerTest(goog.bind(function(a){return this.ready_},this))};goog.addSingletonGetter(sre.SpeechRuleEngine);sre.SpeechRuleEngine.prototype.parameterize=function(a){for(var b={},c=0,d=a.length;c<d;c++){var e=a[c],f=sre.SpeechRuleStores.getConstructor(e);f&&f.getInstance&&(b[e]=f.getInstance())}this.parameterize_(b)};
sre.SpeechRuleEngine.prototype.parameterize_=function(a){try{this.activeStore_=this.combineStores_(a)}catch(b){if("StoreError"==b.name)console.log("Store Error:",b.message);else throw b;}this.updateEngine()};sre.SpeechRuleEngine.prototype.constructString=function(a,b){if(!b)return"";if('"'==b.charAt(0))return b.slice(1,-1);var c=this.activeStore_.customStrings.lookup(b);return c?c(a):sre.XpathUtil.evaluateString(b,a)};sre.SpeechRuleEngine.prototype.clearCache=function(){this.cache_={}};
sre.SpeechRuleEngine.prototype.forCache=function(a){for(var b in this.cache_)a(b,this.cache_[b])};sre.SpeechRuleEngine.prototype.getCacheForNode_=function(a){if(!a||!a.getAttribute)return null;a=a.getAttribute("id");return"undefined"===a||""===a?null:this.getCache(a)};sre.SpeechRuleEngine.prototype.getCache=function(a){return(a=this.cache_[a])?this.cloneCache(a):a};sre.SpeechRuleEngine.prototype.cloneCache=function(a){return a.map(function(a){return a.clone()})};
sre.SpeechRuleEngine.prototype.pushCache_=function(a,b){sre.Engine.getInstance().cache&&a.getAttribute&&(a=a.getAttribute("id"))&&(this.cache_[a]=this.cloneCache(b))};sre.SpeechRuleEngine.prototype.evaluateNode=function(a){var b=(new Date).getTime();a=this.evaluateNode_(a);var c=(new Date).getTime();sre.Debugger.getInstance().output("Time:",c-b);return a};sre.SpeechRuleEngine.prototype.evaluateNode_=function(a){if(!a)return[];this.updateConstraint_();return this.evaluateTree_(a)};
sre.SpeechRuleEngine.prototype.evaluateTree_=function(a){var b=sre.Engine.getInstance();if(b.cache){var c=this.getCacheForNode_(a);if(c)return c}sre.Grammar.getInstance().setAttribute(a);var d=this.activeStore_.lookupRule(a,b.dynamicCstr);if(!d){if(b.strict)return[];c=this.activeStore_.evaluateDefault(a);this.pushCache_(a,c);return c}sre.Debugger.getInstance().generateOutput(goog.bind(function(){return[d.name,d.dynamicCstr.toString(),a.toString()]},this));b=d.action.components;c=[];for(var e=0,f;f=
b[e];e++){var g=[],h=f.content||"",k=f.attributes||{};f.grammar&&this.processGrammar(a,f.grammar);switch(f.type){case sre.SpeechRule.Type.NODE:(h=this.activeStore_.applyQuery(a,h))&&(g=this.evaluateTree_(h));break;case sre.SpeechRule.Type.MULTI:h=this.activeStore_.applySelector(a,h);0<h.length&&(g=this.evaluateNodeList_(h,k.sepFunc,this.constructString(a,k.separator),k.ctxtFunc,this.constructString(a,k.context)));break;case sre.SpeechRule.Type.TEXT:(h=this.constructString(a,h))&&(g=[sre.AuditoryDescription.create({text:h},
{adjust:!0})]);break;default:g=[sre.AuditoryDescription.create({text:h})]}g[0]&&f.type!=sre.SpeechRule.Type.MULTI&&(k.context&&(g[0].context=this.constructString(a,k.context)+(g[0].context||"")),k.annotation&&(g[0].annotation=k.annotation));f.grammar&&sre.Grammar.getInstance().popState();c=c.concat(this.addPersonality_(g,k))}this.pushCache_(a,c);return c};
sre.SpeechRuleEngine.prototype.evaluateNodeList_=function(a,b,c,d,e){if(a==[])return[];var f=c||"",g=e||"";c=(c=this.activeStore_.contextFunctions.lookup(d))?c(a,g):function(){return g};b=(b=this.activeStore_.contextFunctions.lookup(b))?b(a,f):function(){return sre.AuditoryDescription.create({text:f},{translate:!0})};d=[];e=0;for(var h;h=a[e];e++)h=this.evaluateTree_(h),0<h.length&&(h[0].context=c()+(h[0].context||""),d=d.concat(h),e<a.length-1&&(h=b(),d=d.concat(h)));return d};
sre.SpeechRuleEngine.prototype.addPersonality_=function(a,b){var c={},d;for(d in sre.Engine.personalityProps){var e=parseFloat(b[sre.Engine.personalityProps[d]]);isNaN(e)||(c[sre.Engine.personalityProps[d]]=e)}for(b=0;d=a[b];b++)this.addRelativePersonality_(d,c);return a};sre.SpeechRuleEngine.prototype.addRelativePersonality_=function(a,b){if(!a.personality)return a.personality=b,a;var c=a.personality,d;for(d in b)c[d]=c[d]&&"number"==typeof c[d]?c[d]+b[d]:b[d];return a};
sre.SpeechRuleEngine.prototype.toString=function(){return this.activeStore_.findAllRules(function(a){return!0}).map(function(a){return a.toString()}).join("\n")};sre.SpeechRuleEngine.debugSpeechRule=function(a,b){var c=sre.SpeechRuleEngine.getInstance().activeStore_;c&&c.debugSpeechRule(a,b)};
sre.SpeechRuleEngine.debugNamedSpeechRule=function(a,b){var c=sre.SpeechRuleEngine.getInstance().activeStore_;if(c)for(var d=c.findAllRules(function(b){return b.name==a}),e=0,f;f=d[e];e++)sre.Debugger.getInstance().output("Rule",a,"DynamicCstr:",f.dynamicCstr.toString(),"number",e),c.debugSpeechRule(f,b)};
sre.SpeechRuleEngine.prototype.runInSetting=function(a,b){var c=sre.Engine.getInstance(),d={},e=null,f;for(f in a)"rules"===f?(e=this.activeStore_,c.ruleSets=a[f],this.parameterize(c.ruleSets)):(d[f]=c[f],c[f]=a[f]);c.dynamicCstr=sre.DynamicCstr.create(c.locale,c.domain,c.style);a=b();for(f in d)c[f]=d[f];e&&(this.activeStore_=e);c.dynamicCstr=sre.DynamicCstr.create(c.locale,c.domain,c.style);return a};
sre.SpeechRuleEngine.prototype.combineStores_=function(a){var b=this.cachedStore_(a);if(b)return b;b=new sre.MathStore;for(var c in a){var d=a[c];d.initialize();d.getSpeechRules().forEach(function(a){b.trie.addRule(a)});b.contextFunctions.addStore(d.contextFunctions);b.customQueries.addStore(d.customQueries);b.customStrings.addStore(d.customStrings)}b.setSpeechRules(b.trie.collectRules());return this.combinedStores_[this.combinedStoreName_(Object.keys(a))]=b};
sre.SpeechRuleEngine.prototype.combinedStoreName_=function(a){return a.sort().join("-")};sre.SpeechRuleEngine.prototype.cachedStore_=function(a){var b=Object.keys(a);return b.some(function(b){return!a[b].initialized})?null:this.combinedStores_[this.combinedStoreName_(b)]};
sre.SpeechRuleEngine.prototype.updateEngine=function(){this.ready_=!0;var a=sre.MathMap.getInstance();sre.Engine.isReady()?sre.Engine.getInstance().evaluator=goog.bind(a.store.lookupString,a.store):(this.ready_=!1,setTimeout(goog.bind(this.updateEngine,this),250))};sre.SpeechRuleEngine.prototype.processGrammar=function(a,b){var c={},d;for(d in b){var e=b[d];c[d]="string"===typeof e?this.constructString(a,e):e}sre.Grammar.getInstance().pushState(c)};
sre.SpeechRuleEngine.prototype.updateConstraint_=function(){var a=sre.Engine.getInstance().dynamicCstr,b=sre.Engine.getInstance().strict,c={},d=[a.getValue(sre.DynamicCstr.Axis.LOCALE),a.getValue(sre.DynamicCstr.Axis.DOMAIN)],e=sre.DynamicCstr.DEFAULT_VALUES[sre.DynamicCstr.Axis.LOCALE],f=sre.DynamicCstr.DEFAULT_VALUES[sre.DynamicCstr.Axis.DOMAIN],g=this.activeStore_.trie.hasSubtrie(d);c[sre.DynamicCstr.Axis.LOCALE]=[g?d[0]:e];g=g?g:this.activeStore_.trie.hasSubtrie([e,d[1]]);c[sre.DynamicCstr.Axis.DOMAIN]=
[g?d[1]:f];a.getOrder().forEach(function(d){if(!c[d]){var e=a.getValue(d),f=sre.DynamicCstr.DEFAULT_VALUES[d];c[d]=b||e===f?[e]:[e,f]}});a.updateProperties(c)};sre.SpeechGeneratorUtil={};sre.SpeechGeneratorUtil.computeSpeech=function(a){var b=sre.SpeechRuleEngine.getInstance();b.clearCache();return b.evaluateNode(a)};sre.SpeechGeneratorUtil.recomputeSpeech=function(a){a=sre.SemanticTree.fromNode(a);return sre.SpeechRuleEngine.getInstance().evaluateNode(a.xml())};
sre.SpeechGeneratorUtil.computeSpeechWithoutCache=function(a){var b=sre.Engine.getInstance().cache;sre.Engine.getInstance().cache=!1;a=sre.SpeechRuleEngine.getInstance().evaluateNode(a);sre.Engine.getInstance().cache=b;return a};sre.SpeechGeneratorUtil.retrieveSpeech=function(a){var b=null;sre.Engine.getInstance().cache&&(b=sre.SpeechRuleEngine.getInstance().getCache(a.id.toString()));b||(b=sre.SpeechGeneratorUtil.recomputeSpeech(a));return sre.AuralRendering.getInstance().markup(b)};
sre.SpeechGeneratorUtil.addSpeech=function(a,b){b=sre.SpeechGeneratorUtil.retrieveSpeech(b);a.setAttribute(sre.EnrichMathml.Attribute.SPEECH,b)};sre.SpeechGeneratorUtil.addPrefix=function(a,b){(b=sre.SpeechGeneratorUtil.retrievePrefix(b))&&a.setAttribute(sre.EnrichMathml.Attribute.PREFIX,b)};sre.SpeechGeneratorUtil.retrievePrefix=function(a){a=sre.SpeechGeneratorUtil.computePrefix_(a);return sre.AuralRendering.getInstance().markup(a)};
sre.SpeechGeneratorUtil.computePrefix_=function(a){var b=sre.SemanticTree.fromRoot(a),c=sre.XpathUtil.evalXPath('.//*[@id="'+a.id+'"]',b.xml())[0];return c?sre.SpeechRuleEngine.getInstance().runInSetting({domain:"prefix",style:"default",strict:!0,cache:!1,speech:!0,rules:["PrefixRules","PrefixSpanish"]},function(){return sre.SpeechRuleEngine.getInstance().evaluateNode(c)}):[]};
sre.SpeechGeneratorUtil.connectMactions=function(a,b,c){b=sre.DomUtil.querySelectorAll(b,"maction");for(var d=0,e;e=b[d];d++){var f=e.getAttribute("id");if(f=sre.DomUtil.querySelectorAllByAttrValue(a,"id",f)[0]){var g=e.childNodes[1];e=g.getAttribute(sre.EnrichMathml.Attribute.ID);var h=sre.WalkerUtil.getBySemanticId(a,e);h&&"dummy"!==h.getAttribute(sre.EnrichMathml.Attribute.TYPE)||(h=f.childNodes[0],(f=g.getAttribute(sre.EnrichMathml.Attribute.PARENT))&&h.setAttribute(sre.EnrichMathml.Attribute.PARENT,
f),h.setAttribute(sre.EnrichMathml.Attribute.TYPE,"dummy"),h.setAttribute(sre.EnrichMathml.Attribute.ID,e),sre.DomUtil.querySelectorAllByAttrValue(c,"id",e)[0].setAttribute("alternative",e))}}};sre.SpeechGeneratorUtil.connectAllMactions=function(a,b){a=sre.DomUtil.querySelectorAll(a,"maction");for(var c=0,d;d=a[c];c++)d=d.childNodes[1].getAttribute(sre.EnrichMathml.Attribute.ID),sre.DomUtil.querySelectorAllByAttrValue(b,"id",d)[0].setAttribute("alternative",d)};sre.AbstractSpeechGenerator=function(){this.rebuilt_=null};sre.AbstractSpeechGenerator.prototype.getRebuilt=function(){return this.rebuilt_};sre.AbstractSpeechGenerator.prototype.setRebuilt=function(a){this.rebuilt_=a};sre.AbstractSpeechGenerator.prototype.getSpeech=goog.abstractMethod;sre.AbstractSpeechGenerator.prototype.start=function(){};sre.AbstractSpeechGenerator.prototype.end=function(){};
sre.AbstractSpeechGenerator.prototype.generateSpeech=function(a,b){this.rebuilt_||(this.rebuilt_=new sre.RebuildStree(b));a=sre.SpeechGeneratorUtil.computeSpeech(this.getRebuilt().xml);return sre.AuralRendering.getInstance().markup(a)};sre.AdhocSpeechGenerator=function(){sre.AbstractSpeechGenerator.call(this)};goog.inherits(sre.AdhocSpeechGenerator,sre.AbstractSpeechGenerator);sre.AdhocSpeechGenerator.prototype.getSpeech=function(a,b){b=this.generateSpeech(a,b);a.setAttribute(sre.EnrichMathml.Attribute.SPEECH,b);return b};sre.DirectSpeechGenerator=function(){sre.AbstractSpeechGenerator.call(this)};goog.inherits(sre.DirectSpeechGenerator,sre.AbstractSpeechGenerator);sre.DirectSpeechGenerator.prototype.getSpeech=function(a,b){return sre.WalkerUtil.getAttribute(a,sre.EnrichMathml.Attribute.SPEECH)};sre.DummySpeechGenerator=function(){sre.AbstractSpeechGenerator.call(this)};goog.inherits(sre.DummySpeechGenerator,sre.AbstractSpeechGenerator);sre.DummySpeechGenerator.prototype.getSpeech=function(a,b){return""};sre.TreeSpeechGenerator=function(){};goog.inherits(sre.TreeSpeechGenerator,sre.AbstractSpeechGenerator);sre.TreeSpeechGenerator.prototype.getSpeech=function(a,b){var c=this.generateSpeech(a,b);a.setAttribute(sre.EnrichMathml.Attribute.SPEECH,c);var d=this.getRebuilt().nodeDict,e;for(e in d){var f=d[e],g=sre.WalkerUtil.getBySemanticId(b,e),h=sre.WalkerUtil.getBySemanticId(a,e);g&&h&&(sre.SpeechGeneratorUtil.addSpeech(h,f),sre.SpeechGeneratorUtil.addPrefix(h,f))}return c};sre.NodeSpeechGenerator=function(){sre.TreeSpeechGenerator.call(this)};goog.inherits(sre.NodeSpeechGenerator,sre.TreeSpeechGenerator);sre.NodeSpeechGenerator.prototype.getSpeech=function(a,b){var c=sre.WalkerUtil.getAttribute(a,sre.EnrichMathml.Attribute.SPEECH);return c?c:sre.NodeSpeechGenerator.superClass_.getSpeech.call(this,a,b)};sre.SummarySpeechGenerator=function(){};goog.inherits(sre.SummarySpeechGenerator,sre.AbstractSpeechGenerator);sre.SummarySpeechGenerator.prototype.getSpeech=function(a,b){sre.SpeechGeneratorUtil.connectAllMactions(b,this.getRebuilt().xml);return this.generateSpeech(a,b)};sre.SpeechGeneratorFactory={};sre.SpeechGeneratorFactory.generator=function(a){return new (sre.SpeechGeneratorFactory.generatorMapping_[a]||sre.SpeechGeneratorFactory.generatorMapping_.Direct)};sre.SpeechGeneratorFactory.generatorMapping_={Adhoc:sre.AdhocSpeechGenerator,Direct:sre.DirectSpeechGenerator,Dummy:sre.DummySpeechGenerator,Node:sre.NodeSpeechGenerator,Summary:sre.SummarySpeechGenerator,Tree:sre.TreeSpeechGenerator};sre.EventUtil={};sre.EventUtil.KeyCode={ENTER:13,ESC:27,SPACE:32,PAGE_UP:33,PAGE_DOWN:34,END:35,HOME:36,LEFT:37,UP:38,RIGHT:39,DOWN:40,TAB:9,0:48,1:49,2:50,3:51,4:52,5:53,6:54,7:55,8:56,9:57,A:65,B:66,C:67,D:68,E:69,F:70,G:71,H:72,I:73,J:74,K:75,L:76,M:77,N:78,O:79,P:80,Q:81,R:82,S:83,T:84,U:85,V:86,W:87,X:88,Y:89,Z:90};
sre.EventUtil.EventType={CLICK:"click",DBLCLICK:"dblclick",MOUSEDOWN:"mousedown",MOUSEUP:"mouseup",MOUSEOVER:"mouseover",MOUSEOUT:"mouseout",MOUSEMOVE:"mousemove",SELECTSTART:"selectstart",KEYPRESS:"keypress",KEYDOWN:"keydown",KEYUP:"keyup",TOUCHSTART:"touchstart",TOUCHMOVE:"touchmove",TOUCHEND:"touchend",TOUCHCANCEL:"touchcancel"};sre.EventUtil.Event=function(a,b,c){this.src=a;this.type=b;this.callback=c};sre.EventUtil.Event.prototype.add=function(){this.src.addEventListener(this.type,this.callback)};
sre.EventUtil.Event.prototype.remove=function(){this.src.removeEventListener(this.type,this.callback)};sre.Focus=function(a,b){this.semanticNodes_=a;this.semanticPrimary_=b;this.domNodes_=[];this.domPrimary_=null;this.allNodes_=[]};sre.Focus.prototype.getSemanticPrimary=function(){return this.semanticPrimary_};sre.Focus.prototype.getSemanticNodes=function(){return this.semanticNodes_};sre.Focus.prototype.getNodes=function(){return this.allNodes_};sre.Focus.prototype.getDomNodes=function(){return this.domNodes_};sre.Focus.prototype.getDomPrimary=function(){return this.domPrimary_};
sre.Focus.prototype.toString=function(){return"Primary:"+this.domPrimary_+" Nodes:"+this.domNodes_};sre.Focus.prototype.clone=function(){var a=new sre.Focus(this.semanticNodes_,this.semanticPrimary_);a.domNodes_=this.domNodes_;a.domPrimary_=this.domPrimary_;a.allNodes_=this.allNodes_;return a};
sre.Focus.factory=function(a,b,c,d){var e=function(a){return sre.WalkerUtil.getBySemanticId(d,a)},f=c.nodeDict;c=e(a);e=b.map(e);var g=b.map(function(a){return f[a]});a=new sre.Focus(g,f[a]);a.domNodes_=e;a.domPrimary_=c;a.allNodes_=sre.Focus.generateAllVisibleNodes_(b,e,f,d);return a};
sre.Focus.generateAllVisibleNodes_=function(a,b,c,d){for(var e=function(a){return sre.WalkerUtil.getBySemanticId(d,a)},f=[],g=0,h=a.length;g<h;g++)if(b[g])f.push(b[g]);else{var k=c[a[g]];if(k){k=k.childNodes.map(function(a){return a.id.toString()});var l=k.map(e);f=f.concat(sre.Focus.generateAllVisibleNodes_(k,l,c,d))}}return f};sre.Levels=function(){this.level_=[]};sre.Levels.prototype.push=function(a){this.level_.push(a)};sre.Levels.prototype.pop=function(){return this.level_.pop()};sre.Levels.prototype.peek=function(){return this.level_[this.level_.length-1]||null};sre.Levels.prototype.indexOf=function(a){var b=this.peek();return b?b.indexOf(a):null};sre.Levels.prototype.find=function(a){var b=this.peek();if(!b)return null;for(var c=0,d=b.length;c<d;c++)if(a(b[c]))return b[c];return null};
sre.Levels.prototype.get=function(a){var b=this.peek();return!b||0>a||a>=b.length?null:b[a]};sre.Levels.prototype.depth=function(){return this.level_.length};sre.Levels.prototype.clone=function(){var a=new sre.Levels;a.level_=this.level_.slice(0);return a};sre.Levels.prototype.toString=function(){for(var a="",b=0,c;c=this.level_[b];b++)a+="\n"+c.map(function(a){return a.toString()});return a};sre.Walker=function(){};sre.Walker.prototype.isActive=function(){};sre.Walker.prototype.activate=function(){};sre.Walker.prototype.deactivate=function(){};sre.Walker.prototype.speech=function(){};sre.Walker.prototype.getFocus=function(){};sre.Walker.prototype.setFocus=function(a){};sre.Walker.prototype.getDepth=function(){};sre.Walker.prototype.move=function(a){};
sre.Walker.move={UP:"up",DOWN:"down",LEFT:"left",RIGHT:"right",REPEAT:"repeat",DEPTH:"depth",ENTER:"enter",EXPAND:"expand",HOME:"home",SUMMARY:"summary",DETAIL:"detail",ROW:"row",CELL:"cell"};sre.AbstractWalker=function(a,b,c,d){this.node=a;this.xml=sre.DomUtil.parseInput(d);this.generator=b;this.rebuilt=this.rebuildStree_();this.generator.setRebuilt(this.rebuilt);this.highlighter=c;this.active_=!1;this.keyMapping={};this.keyMapping[sre.EventUtil.KeyCode.UP]=goog.bind(this.up,this);this.keyMapping[sre.EventUtil.KeyCode.DOWN]=goog.bind(this.down,this);this.keyMapping[sre.EventUtil.KeyCode.RIGHT]=goog.bind(this.right,this);this.keyMapping[sre.EventUtil.KeyCode.LEFT]=goog.bind(this.left,
this);this.keyMapping[sre.EventUtil.KeyCode.TAB]=goog.bind(this.repeat,this);this.keyMapping[sre.EventUtil.KeyCode.ENTER]=goog.bind(this.expand,this);this.keyMapping[sre.EventUtil.KeyCode.SPACE]=goog.bind(this.depth,this);this.keyMapping[sre.EventUtil.KeyCode.HOME]=goog.bind(this.home,this);this.keyMapping[sre.EventUtil.KeyCode.X]=goog.bind(this.summary,this);this.keyMapping[sre.EventUtil.KeyCode.Z]=goog.bind(this.detail,this);this.keyMapping[sre.EventUtil.KeyCode.V]=goog.bind(this.virtualize,this);
this.keyMapping[sre.EventUtil.KeyCode.P]=goog.bind(this.previous,this);this.keyMapping[sre.EventUtil.KeyCode.U]=goog.bind(this.undo,this);this.dummy_=function(){};this.rootNode=sre.WalkerUtil.getSemanticRoot(a);this.rootId=this.rebuilt.stree.root.id.toString();this.focus_=sre.Focus.factory(this.rootId,[this.rootId],this.rebuilt,this.node);this.moved=sre.Walker.move.ENTER;this.cursors=[]};sre.AbstractWalker.prototype.isActive=function(){return this.active_};
sre.AbstractWalker.prototype.toggleActive_=function(){this.active_=!this.active_};sre.AbstractWalker.prototype.activate=function(){this.isActive()||(this.generator.start(),this.toggleActive_())};sre.AbstractWalker.prototype.deactivate=function(){this.isActive()&&(this.highlighter.setState(this.node.id,this.primaryId()),this.generator.end(),this.toggleActive_())};sre.AbstractWalker.prototype.getFocus=function(){return this.focus_};sre.AbstractWalker.prototype.setFocus=function(a){this.focus_=a};
sre.AbstractWalker.prototype.getDepth=function(){return this.levels.depth()-1};
sre.AbstractWalker.prototype.speech=function(){var a=this.focus_.getDomNodes();if(!a.length)return"";var b=this.specialMove();if(null!==b)return b;switch(this.moved){case sre.Walker.move.DEPTH:return this.depth_();case sre.Walker.move.SUMMARY:return this.summary_();case sre.Walker.move.DETAIL:return this.detail_();default:b=[];for(var c=this.focus_.getSemanticNodes(),d=0,e=a.length;d<e;d++){var f=a[d],g=c[d];b.push(f?this.generator.getSpeech(f,this.xml):sre.SpeechGeneratorUtil.retrieveSpeech(g))}return this.mergePrefix_(b)}};
sre.AbstractWalker.prototype.mergePrefix_=function(a,b){b=b||[];var c=this.prefix_();c&&a.unshift(c);return sre.AuralRendering.getInstance().merge(b.concat(a))};sre.AbstractWalker.prototype.prefix_=function(){var a=this.focus_.getDomNodes(),b=this.focus_.getSemanticNodes();return a[0]?sre.WalkerUtil.getAttribute(a[0],sre.EnrichMathml.Attribute.PREFIX):sre.SpeechGeneratorUtil.retrievePrefix(b[0])};
sre.AbstractWalker.prototype.move=function(a){a=this.keyMapping[a];if(!a)return null;a=a();if(!a||a===this.focus_)return!1;this.focus_=a;this.moved===sre.Walker.move.HOME&&(this.levels=this.initLevels());return!0};sre.AbstractWalker.prototype.up=function(){this.moved=sre.Walker.move.UP;return this.focus_};sre.AbstractWalker.prototype.down=function(){this.moved=sre.Walker.move.DOWN;return this.focus_};sre.AbstractWalker.prototype.left=function(){this.moved=sre.Walker.move.LEFT;return this.focus_};
sre.AbstractWalker.prototype.right=function(){this.moved=sre.Walker.move.RIGHT;return this.focus_};sre.AbstractWalker.prototype.repeat=function(){this.moved=sre.Walker.move.REPEAT;return this.focus_.clone()};sre.AbstractWalker.prototype.depth=function(){this.moved=sre.Walker.move.DEPTH;return this.focus_.clone()};
sre.AbstractWalker.prototype.depth_=function(){var a=sre.Grammar.getInstance().getParameter("depth");sre.Grammar.getInstance().setParameter("depth",!0);var b=this.focus_.getDomPrimary();b=this.expandable(b)&&[sre.Messages.NAVIGATE.EXPANDABLE]||this.collapsible(b)&&[sre.Messages.NAVIGATE.COLLAPSIBLE]||[];var c=[sre.AuralRendering.getInstance().markup([new sre.AuditoryDescription({text:sre.Messages.NAVIGATE.LEVEL+" "+this.getDepth(),personality:{}})])],d=this.focus_.getSemanticNodes();(d=sre.SpeechGeneratorUtil.retrievePrefix(d[0]))&&
c.push(d);sre.Grammar.getInstance().setParameter("depth",a);return sre.AuralRendering.getInstance().merge(c.concat(b))};sre.AbstractWalker.prototype.home=function(){this.moved=sre.Walker.move.HOME;return sre.Focus.factory(this.rootId,[this.rootId],this.rebuilt,this.node)};sre.AbstractWalker.prototype.getBySemanticId=function(a){return sre.WalkerUtil.getBySemanticId(this.node,a)};sre.AbstractWalker.prototype.primaryId=function(){return this.focus_.getSemanticPrimary().id.toString()};
sre.AbstractWalker.prototype.expand=function(){var a=this.focus_.getDomPrimary();a=this.actionable_(a);if(!a)return this.focus_;this.moved=sre.Walker.move.EXPAND;a.onclick();return this.focus_.clone()};sre.AbstractWalker.prototype.actionable_=function(a){return a&&a.parentNode&&this.highlighter.isMactionNode(a.parentNode)?a.parentNode:null};sre.AbstractWalker.prototype.expandable=function(a){return!!this.actionable_(a)&&0===a.childNodes.length};
sre.AbstractWalker.prototype.collapsible=function(a){return!!this.actionable_(a)&&0<a.childNodes.length};sre.AbstractWalker.prototype.restoreState=function(){if(this.highlighter){var a=this.highlighter.getState(this.node.id);if(a){var b=this.rebuilt.nodeDict[a];for(a=[];b;)a.push(b.id),b=b.parent;for(a.pop();0<a.length;){this.down();b=a.pop();b=this.findFocusOnLevel(b);if(!b)break;this.focus_=b}this.moved=sre.Walker.move.ENTER}}};sre.AbstractWalker.prototype.findFocusOnLevel=goog.abstractMethod;
sre.AbstractWalker.prototype.initLevels=goog.abstractMethod;sre.AbstractWalker.prototype.rebuildStree_=function(){var a=new sre.RebuildStree(this.xml);sre.SpeechGeneratorUtil.connectMactions(this.node,this.xml,a.xml);return a};sre.AbstractWalker.prototype.previousLevel=function(){var a=this.focus_.getDomPrimary();return a?sre.WalkerUtil.getAttribute(a,sre.EnrichMathml.Attribute.PARENT):this.focus_.getSemanticPrimary().parent.id.toString()};
sre.AbstractWalker.prototype.nextLevel=function(){var a=this.focus_.getDomPrimary();if(a){var b=sre.WalkerUtil.splitAttribute(sre.WalkerUtil.getAttribute(a,sre.EnrichMathml.Attribute.CHILDREN)),c=sre.WalkerUtil.splitAttribute(sre.WalkerUtil.getAttribute(a,sre.EnrichMathml.Attribute.CONTENT)),d=sre.WalkerUtil.getAttribute(a,sre.EnrichMathml.Attribute.TYPE);a=sre.WalkerUtil.getAttribute(a,sre.EnrichMathml.Attribute.ROLE);return this.combineContentChildren(d,a,c,b)}c=function(a){return a.id.toString()};
d=this.rebuilt.nodeDict[this.primaryId()];b=d.childNodes.map(c);c=d.contentNodes.map(c);return 0===b.length?[]:this.combineContentChildren(d.type,d.role,c,b)};sre.AbstractWalker.prototype.combineContentChildren=goog.abstractMethod;sre.AbstractWalker.prototype.singletonFocus=function(a){return this.focusFromId(a,[a])};sre.AbstractWalker.prototype.focusFromId=function(a,b){return sre.Focus.factory(a,b,this.rebuilt,this.node)};
sre.AbstractWalker.prototype.summary=function(){this.moved=sre.Walker.move.SUMMARY;return this.focus_.clone()};
sre.AbstractWalker.prototype.summary_=function(){var a=this.focus_.getSemanticPrimary().id.toString();a=this.rebuilt.xml.getAttribute("id")===a?this.rebuilt.xml:sre.DomUtil.querySelectorAllByAttrValue(this.rebuilt.xml,"id",a)[0];var b=a.getAttribute("alternative");a.setAttribute("alternative","summary");var c=sre.SpeechGeneratorUtil.computeSpeechWithoutCache(a);c=sre.AuralRendering.getInstance().markup(c);c=this.mergePrefix_([c]);b?a.setAttribute("alternative",b):a.removeAttribute("alternative");
return c};sre.AbstractWalker.prototype.detail=function(){this.moved=sre.Walker.move.DETAIL;return this.focus_.clone()};
sre.AbstractWalker.prototype.detail_=function(){var a=this.focus_.getSemanticPrimary().id.toString();a=this.rebuilt.xml.getAttribute("id")===a?this.rebuilt.xml:sre.DomUtil.querySelectorAllByAttrValue(this.rebuilt.xml,"id",a)[0];var b=a.getAttribute("alternative");a.removeAttribute("alternative");var c=sre.SpeechGeneratorUtil.computeSpeechWithoutCache(a);c=sre.AuralRendering.getInstance().markup(c);c=this.mergePrefix_([c]);a.setAttribute("alternative",b);return c};
sre.AbstractWalker.prototype.specialMove=function(){return null};sre.AbstractWalker.prototype.virtualize=function(a){this.cursors.push({focus:this.focus_,levels:this.levels,undo:a||!this.cursors.length});this.levels=this.levels.clone();return this.focus_.clone()};sre.AbstractWalker.prototype.previous=function(){var a=this.cursors.pop();if(!a)return this.focus_;this.levels=a.levels;return a.focus};
sre.AbstractWalker.prototype.undo=function(){do var a=this.cursors.pop();while(a&&!a.undo);if(!a)return this.focus_;this.levels=a.levels;return a.focus};sre.DummyWalker=function(a,b,c,d){sre.AbstractWalker.call(this,a,b,c,d)};goog.inherits(sre.DummyWalker,sre.AbstractWalker);sre.DummyWalker.prototype.up=function(){};sre.DummyWalker.prototype.down=function(){};sre.DummyWalker.prototype.left=function(){};sre.DummyWalker.prototype.right=function(){};sre.DummyWalker.prototype.repeat=function(){};sre.DummyWalker.prototype.depth=function(){};sre.DummyWalker.prototype.home=function(){};sre.DummyWalker.prototype.getDepth=function(){return 0};sre.SemanticWalker=function(a,b,c,d){sre.AbstractWalker.call(this,a,b,c,d);this.levels=this.initLevels();this.restoreState()};goog.inherits(sre.SemanticWalker,sre.AbstractWalker);sre.SemanticWalker.prototype.initLevels=function(){var a=new sre.Levels;a.push([this.getFocus()]);return a};
sre.SemanticWalker.prototype.up=function(){sre.SemanticWalker.superClass_.up.call(this);var a=this.previousLevel();if(!a)return null;this.levels.pop();return this.levels.find(function(b){return b.getSemanticNodes().some(function(b){return b.id.toString()===a})})};sre.SemanticWalker.prototype.down=function(){sre.SemanticWalker.superClass_.down.call(this);var a=this.nextLevel();if(0===a.length)return null;this.levels.push(a);return a[0]};
sre.SemanticWalker.prototype.combineContentChildren=function(a,b,c,d){switch(a){case sre.SemanticAttr.Type.RELSEQ:case sre.SemanticAttr.Type.INFIXOP:case sre.SemanticAttr.Type.MULTIREL:return this.makePairList(d,c);case sre.SemanticAttr.Type.PREFIXOP:return[this.focusFromId(d[0],c.concat(d))];case sre.SemanticAttr.Type.POSTFIXOP:return[this.focusFromId(d[0],d.concat(c))];case sre.SemanticAttr.Type.MATRIX:case sre.SemanticAttr.Type.VECTOR:case sre.SemanticAttr.Type.FENCED:return[this.focusFromId(d[0],
[c[0],d[0],c[1]])];case sre.SemanticAttr.Type.CASES:return[this.focusFromId(d[0],[c[0],d[0]])];case sre.SemanticAttr.Type.PUNCTUATED:return b===sre.SemanticAttr.Role.TEXT?d.map(goog.bind(this.singletonFocus,this)):d.length===c.length?c.map(goog.bind(this.singletonFocus,this)):this.combinePunctuations(d,c,[],[]);case sre.SemanticAttr.Type.APPL:return[this.focusFromId(d[0],[d[0],c[0]]),this.singletonFocus(d[1])];case sre.SemanticAttr.Type.ROOT:return[this.singletonFocus(d[1]),this.singletonFocus(d[0])];
default:return d.map(goog.bind(this.singletonFocus,this))}};sre.SemanticWalker.prototype.combinePunctuations=function(a,b,c,d){if(0===a.length)return d;var e=a.shift(),f=b.shift();if(e===f)return c.push(f),this.combinePunctuations(a,b,c,d);b.unshift(f);c.push(e);if(a.length===b.length)return d.push(this.focusFromId(e,c.concat(b))),d;d.push(this.focusFromId(e,c));return this.combinePunctuations(a,b,[],d)};
sre.SemanticWalker.prototype.makePairList=function(a,b){if(0===a.length)return[];if(1===a.length)return[this.singletonFocus(a[0])];for(var c=[this.singletonFocus(a.shift())],d=0,e=a.length;d<e;d++)c.push(this.focusFromId(a[d],[b[d],a[d]]));return c};sre.SemanticWalker.prototype.left=function(){sre.SemanticWalker.superClass_.left.call(this);var a=this.levels.indexOf(this.getFocus())-1;return(a=this.levels.get(a))?a:null};
sre.SemanticWalker.prototype.right=function(){sre.SemanticWalker.superClass_.right.call(this);var a=this.levels.indexOf(this.getFocus())+1;return(a=this.levels.get(a))?a:null};sre.SemanticWalker.prototype.findFocusOnLevel=function(a){return this.levels.find(function(b){return b.getSemanticPrimary().id===a})};sre.SyntaxWalker=function(a,b,c,d){sre.AbstractWalker.call(this,a,b,c,d);this.levels=this.initLevels();this.restoreState()};goog.inherits(sre.SyntaxWalker,sre.AbstractWalker);sre.SyntaxWalker.prototype.initLevels=function(){var a=new sre.Levels;a.push([this.primaryId()]);return a};sre.SyntaxWalker.prototype.up=function(){sre.SyntaxWalker.superClass_.up.call(this);var a=this.previousLevel();if(!a)return null;this.levels.pop();return this.singletonFocus(a)};
sre.SyntaxWalker.prototype.down=function(){sre.SyntaxWalker.superClass_.down.call(this);var a=this.nextLevel();if(0===a.length)return null;var b=this.singletonFocus(a[0]);b&&this.levels.push(a);return b};
sre.SyntaxWalker.prototype.combineContentChildren=function(a,b,c,d){switch(a){case sre.SemanticAttr.Type.RELSEQ:case sre.SemanticAttr.Type.INFIXOP:case sre.SemanticAttr.Type.MULTIREL:return sre.BaseUtil.interleaveLists(d,c);case sre.SemanticAttr.Type.PREFIXOP:return c.concat(d);case sre.SemanticAttr.Type.POSTFIXOP:return d.concat(c);case sre.SemanticAttr.Type.MATRIX:case sre.SemanticAttr.Type.VECTOR:case sre.SemanticAttr.Type.FENCED:return d.unshift(c[0]),d.push(c[1]),d;case sre.SemanticAttr.Type.CASES:return d.unshift(c[0]),
d;case sre.SemanticAttr.Type.PUNCTUATED:return b===sre.SemanticAttr.Role.TEXT?sre.BaseUtil.interleaveLists(d,c):d;case sre.SemanticAttr.Type.APPL:return[d[0],c[0],d[1]];case sre.SemanticAttr.Type.ROOT:return[d[1],d[0]];default:return d}};sre.SyntaxWalker.prototype.left=function(){sre.SyntaxWalker.superClass_.left.call(this);var a=this.levels.indexOf(this.primaryId())-1;return(a=this.levels.get(a))?this.singletonFocus(a):null};
sre.SyntaxWalker.prototype.right=function(){sre.SyntaxWalker.superClass_.right.call(this);var a=this.levels.indexOf(this.primaryId())+1;return(a=this.levels.get(a))?this.singletonFocus(a):null};sre.SyntaxWalker.prototype.findFocusOnLevel=function(a){return this.singletonFocus(a.toString())};sre.TableWalker=function(a,b,c,d){sre.SyntaxWalker.call(this,a,b,c,d);this.modifier=!1;this.keyMapping[sre.EventUtil.KeyCode["0"]]=goog.bind(this.jumpCell,this);this.keyMapping[sre.EventUtil.KeyCode["1"]]=goog.bind(this.jumpCell,this);this.keyMapping[sre.EventUtil.KeyCode["2"]]=goog.bind(this.jumpCell,this);this.keyMapping[sre.EventUtil.KeyCode["3"]]=goog.bind(this.jumpCell,this);this.keyMapping[sre.EventUtil.KeyCode["4"]]=goog.bind(this.jumpCell,this);this.keyMapping[sre.EventUtil.KeyCode["5"]]=
goog.bind(this.jumpCell,this);this.keyMapping[sre.EventUtil.KeyCode["6"]]=goog.bind(this.jumpCell,this);this.keyMapping[sre.EventUtil.KeyCode["7"]]=goog.bind(this.jumpCell,this);this.keyMapping[sre.EventUtil.KeyCode["8"]]=goog.bind(this.jumpCell,this);this.keyMapping[sre.EventUtil.KeyCode["9"]]=goog.bind(this.jumpCell,this);this.key_=null;this.row_=0;this.firstJump=this.currentTable_=null};goog.inherits(sre.TableWalker,sre.SyntaxWalker);
sre.TableWalker.prototype.move=function(a){this.key_=a;a=sre.TableWalker.superClass_.move.call(this,a);this.modifier=!1;return a};sre.TableWalker.prototype.up=function(){this.moved=sre.Walker.move.UP;return this.eligibleCell_()?this.verticalMove_(!1):sre.TableWalker.superClass_.up.call(this)};sre.TableWalker.prototype.down=function(){this.moved=sre.Walker.move.DOWN;return this.eligibleCell_()?this.verticalMove_(!0):sre.TableWalker.superClass_.down.call(this)};
sre.TableWalker.ELIGIBLE_CELL_ROLES=[sre.SemanticAttr.Role.DETERMINANT,sre.SemanticAttr.Role.ROWVECTOR,sre.SemanticAttr.Role.BINOMIAL,sre.SemanticAttr.Role.SQUAREMATRIX,sre.SemanticAttr.Role.MULTILINE,sre.SemanticAttr.Role.MATRIX,sre.SemanticAttr.Role.VECTOR,sre.SemanticAttr.Role.CASES,sre.SemanticAttr.Role.TABLE];sre.TableWalker.ELIGIBLE_TABLE_TYPES=[sre.SemanticAttr.Type.MULTILINE,sre.SemanticAttr.Type.MATRIX,sre.SemanticAttr.Type.VECTOR,sre.SemanticAttr.Type.CASES,sre.SemanticAttr.Type.TABLE];
sre.TableWalker.prototype.eligibleCell_=function(){var a=this.getFocus().getSemanticPrimary();return this.modifier&&a.type===sre.SemanticAttr.Type.CELL&&-1!==sre.TableWalker.ELIGIBLE_CELL_ROLES.indexOf(a.role)};
sre.TableWalker.prototype.verticalMove_=function(a){var b=this.previousLevel();if(!b)return null;var c=this.getFocus(),d=this.levels.indexOf(this.primaryId()),e=this.levels.pop();b=this.levels.indexOf(b);a=this.levels.get(a?b+1:b-1);if(!a)return this.levels.push(e),null;this.setFocus(this.singletonFocus(a));a=this.nextLevel();if(!a[d])return this.setFocus(c),this.levels.push(e),null;this.levels.push(a);return this.singletonFocus(a[d])};
sre.TableWalker.prototype.jumpCell=function(){if(!this.isInTable_())return this.getFocus();if(this.moved===sre.Walker.move.ROW){this.moved=sre.Walker.move.CELL;var a=this.key_-sre.EventUtil.KeyCode["0"];return this.isLegalJump_(this.row_,a)?this.jumpCell_(this.row_,a):this.getFocus()}a=this.key_-sre.EventUtil.KeyCode["0"];if(a>this.currentTable_.childNodes.length)return this.getFocus();this.row_=a;this.moved=sre.Walker.move.ROW;return this.getFocus().clone()};
sre.TableWalker.prototype.jumpCell_=function(a,b){this.firstJump?this.virtualize(!1):(this.firstJump=this.getFocus(),this.virtualize(!0));var c=this.currentTable_.id.toString();do var d=this.levels.pop();while(-1===d.indexOf(c));this.levels.push(d);this.setFocus(this.singletonFocus(c));this.levels.push(this.nextLevel());a=this.currentTable_.childNodes[a-1];this.setFocus(this.singletonFocus(a.id.toString()));this.levels.push(this.nextLevel());return this.singletonFocus(a.childNodes[b-1].id.toString())};
sre.TableWalker.prototype.isLegalJump_=function(a,b){var c=sre.DomUtil.querySelectorAllByAttrValue(this.rebuilt.xml,"id",this.currentTable_.id.toString())[0];if(!c||c.hasAttribute("alternative"))return!1;a=this.currentTable_.childNodes[a-1];if(!a)return!1;c=sre.DomUtil.querySelectorAllByAttrValue(c,"id",a.id.toString())[0];return!c||c.hasAttribute("alternative")?!1:!(!a||!a.childNodes[b-1])};
sre.TableWalker.prototype.isInTable_=function(){for(var a=this.getFocus().getSemanticPrimary();a;){if(-1!==sre.TableWalker.ELIGIBLE_TABLE_TYPES.indexOf(a.type))return this.currentTable_=a,!0;a=a.parent}return!1};sre.TableWalker.prototype.undo=function(){var a=sre.TableWalker.superClass_.undo.call(this);a===this.firstJump&&(this.firstJump=null);return a};sre.WalkerFactory={};sre.WalkerFactory.walker=function(a,b,c,d,e){return new (sre.WalkerFactory.walkerMapping_[a]||sre.WalkerFactory.walkerMapping_.Dummy)(b,c,d,e)};sre.WalkerFactory.walkerMapping_={Dummy:sre.DummyWalker,Semantic:sre.SemanticWalker,Syntax:sre.SyntaxWalker,Table:sre.TableWalker};sre.System=function(){this.version=sre.Variables.VERSION};goog.addSingletonGetter(sre.System);sre.System.Error=function(a){Error.call(this);this.message=a||"";this.name="System Error"};goog.inherits(sre.System.Error,Error);sre.System.LocalStorage_=function(){this.speechGenerator=this.walker=null};goog.addSingletonGetter(sre.System.LocalStorage_);
sre.System.prototype.setupEngine=function(a){var b=sre.Engine.getInstance(),c=function(c){b[c]=a[c]||b[c]};c("mode");sre.System.prototype.configBlocks_(a);["strict","cache","semantics","structure"].forEach(function(c){void 0!==a[c]&&(b[c]=!!a[c])});"markup style domain speech walker locale".split(" ").forEach(c);a.json&&(sre.SystemExternal.jsonPath=sre.BaseUtil.makePath(a.json));a.xpath&&(sre.SystemExternal.WGXpath=a.xpath);b.setupBrowsers();b.ruleSets=a.rules?a.rules:sre.SpeechRuleStores.availableSets();
sre.SpeechRuleEngine.getInstance().parameterize(b.ruleSets);b.dynamicCstr=sre.DynamicCstr.create(b.locale,b.domain,b.style);b.comparator=new sre.DynamicCstr.DefaultComparator(b.dynamicCstr,sre.DynamicProperties.create([sre.DynamicCstr.DEFAULT_VALUES[sre.DynamicCstr.Axis.LOCALE]],[sre.DynamicCstr.DEFAULT_VALUES[sre.DynamicCstr.Axis.DOMAIN]],["short",sre.DynamicCstr.DEFAULT_VALUES[sre.DynamicCstr.Axis.STYLE]]));sre.L10n.setLocale()};
sre.System.prototype.configBlocks_=function(a){if(sre.Engine.getInstance().mode===sre.Engine.Mode.HTTP)for(var b=document.documentElement.querySelectorAll('script[type="text/x-sre-config"]'),c=0,d=b.length;c<d;c++)try{var e=b[c].innerHTML,f=JSON.parse(e),g;for(g in f)a[g]=f[g]}catch(h){sre.Debugger.getInstance().output("Illegal configuration ",e)}};
sre.System.prototype.toSpeech=function(a){return(a=sre.System.getInstance().parseExpression_(a,sre.Engine.getInstance().semantics))?sre.System.getInstance().processXml(a):""};sre.System.prototype.processExpression=sre.System.prototype.toSpeech;sre.System.prototype.toSemantic=function(a){return sre.System.getInstance().parseExpression_(a,!0)};
sre.System.prototype.toJson=function(a){if(sre.Engine.getInstance().mode===sre.Engine.Mode.HTTP)throw new sre.System.Error("JSON translation not possible in browser.");return(a=sre.System.getInstance().parseExpression_(a,!0))?sre.SystemExternal.xm.tojson(a.toString()):{}};sre.System.prototype.toDescription=function(a){return(a=sre.System.getInstance().parseExpression_(a,sre.Engine.getInstance().semantics))?sre.SpeechGeneratorUtil.computeSpeech(a):[]};
sre.System.prototype.toEnriched=function(a){a=sre.Enrich.semanticMathmlSync(a);var b=sre.WalkerUtil.getSemanticRoot(a);switch(sre.Engine.getInstance().speech){case sre.Engine.Speech.SHALLOW:var c=sre.SpeechGeneratorFactory.generator("Adhoc");c.getSpeech(b,a);break;case sre.Engine.Speech.DEEP:c=sre.SpeechGeneratorFactory.generator("Tree"),c.getSpeech(b,a)}return a};sre.System.prototype.fileToSpeech=function(a,b){sre.System.getInstance().processFile_(sre.System.getInstance().toSpeech,a,b)};
sre.System.prototype.processFile=sre.System.prototype.fileToSpeech;sre.System.prototype.fileToSemantic=function(a,b){sre.System.getInstance().processFile_(function(a){return sre.System.getInstance().toSemantic(a).toString()},a,b)};sre.System.prototype.fileToJson=function(a,b){sre.System.getInstance().processFile_(function(a){return JSON.stringify(sre.System.getInstance().toJson(a))},a,b)};
sre.System.prototype.fileToDescription=function(a,b){sre.System.getInstance().processFile_(function(a){return JSON.stringify(sre.System.getInstance().toDescription(a))},a,b)};sre.System.prototype.fileToEnriched=function(a,b){sre.System.getInstance().processFile_(function(a){return sre.System.getInstance().toEnriched(a).toString()},a,b)};sre.System.prototype.processXml=function(a){a=sre.SpeechGeneratorUtil.computeSpeech(a);return sre.AuralRendering.getInstance().markup(a)};
sre.System.prototype.parseExpression_=function(a,b){var c=null;try{c=sre.DomUtil.parseInput(a,sre.System.Error),b&&(c=sre.System.getInstance().getSemanticTree(c)),sre.Debugger.getInstance().generateOutput(goog.bind(function(){return c.toString()},this))}catch(d){console.log("Parse Error: "+d.message)}return c};sre.System.prototype.getSemanticTree=function(a){return sre.Semantic.xmlTree(a)};
sre.System.prototype.processFile_=function(a,b,c){sre.Engine.isReady()?sre.Engine.getInstance().mode===sre.Engine.Mode.SYNC?this.processFileSync_(a,b,c):this.processFileAsync_(a,b,c):setTimeout(goog.bind(function(){this.processFile_(a,b,c)},this),100)};sre.System.prototype.inputFileSync_=function(a){try{var b=sre.SystemExternal.fs.readFileSync(a,{encoding:"utf8"})}catch(c){throw new sre.System.Error("Can not open file: "+a);}return b};
sre.System.prototype.processFileSync_=function(a,b,c){b=sre.System.getInstance().inputFileSync_(b);a=a(b);if(c)try{sre.SystemExternal.fs.writeFileSync(c,a,function(){})}catch(d){throw new sre.System.Error("Can not write to file: "+c);}else console.log(a)};sre.System.prototype.inputFileAsync_=function(a,b){sre.SystemExternal.fs.readFile(a,{encoding:"utf8"},goog.bind(function(c,d){if(c)throw new sre.System.Error("Can not open file: "+a);b(d)},this))};
sre.System.prototype.processFileAsync_=function(a,b,c){sre.System.getInstance().inputFileAsync_(b,goog.bind(function(b){b=a(b);c?sre.SystemExternal.fs.writeFile(c,b,function(a){if(a)throw new sre.System.Error("Can not write to file: "+c);}):console.log(b)},this))};
sre.System.prototype.walk=function(a){var b=sre.SpeechGeneratorFactory.generator("Node");sre.System.LocalStorage_.getInstance().speechGenerator=b;var c=sre.HighlighterFactory.highlighter({color:"black"},{color:"white"},{renderer:"NativeMML"});a=sre.System.getInstance().toEnriched(a);var d=(new sre.SystemExternal.xmldom.XMLSerializer).serializeToString(a);sre.System.LocalStorage_.getInstance().walker=sre.WalkerFactory.walker(sre.Engine.getInstance().walker,a,b,c,d);return sre.System.LocalStorage_.getInstance().walker.speech()};
sre.System.prototype.move=function(a){if(!sre.System.LocalStorage_.getInstance().walker)return null;var b="string"===typeof a?sre.EventUtil.KeyCode[a.toUpperCase()]:a;return!1===sre.System.LocalStorage_.getInstance().walker.move(b)?sre.AuralRendering.getInstance().error(a):sre.System.LocalStorage_.getInstance().walker.speech()};sre.Mathjax={};
(function(){var a=sre.System.getInstance(),b=MathJax.Callback.Signal("Sre");MathJax.Extension.Sre={version:a.version,signal:b,ConfigSre:function(){sre.Engine.isReady()?MathJax.Callback.Queue(MathJax.Hub.Register.StartupHook("mml Jax Ready",{}),["Post",MathJax.Hub.Startup.signal,"Sre Ready"]):setTimeout(MathJax.Extension.Sre.ConfigSre,500)}};sre.System.getInstance().setupEngine({mode:sre.Engine.Mode.HTTP,json:MathJax.Ajax.config.path.SRE+"/mathmaps",xpath:MathJax.Ajax.config.path.SRE+"/wgxpath.install.js",
semantics:!0});MathJax.Extension.Sre.ConfigSre()})();

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[{"locale":"en"},{"category":"Algebra","mappings":{"default":{"default":"degree"}},"key":"deg","names":["deg"]},{"category":"Algebra","mappings":{"default":{"default":"determinant","short":"det"}},"key":"det","names":["det"]},{"category":"Algebra","mappings":{"default":{"default":"dimension"}},"key":"dim","names":["dim"]},{"category":"Algebra","mappings":{"default":{"default":"homomorphism","short":"hom"}},"key":"hom","names":["hom","Hom"]},{"category":"Algebra","mappings":{"default":{"default":"kernel"}},"key":"ker","names":["ker"]},{"category":"Algebra","mappings":{"default":{"default":"trace"}},"key":"Tr","names":["Tr","tr"]}]

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[{"locale":"en"},{"category":"Elementary","mappings":{"default":{"default":"logarithm","alternative":"logarithm function","short":"log"}},"key":"log","names":["log"]},{"category":"Elementary","mappings":{"default":{"default":"natural logarithm","alternative":"natural logarithm function","short":"natural log"},"mathspeak":{"default":"ln"}},"key":"ln","names":["ln"]},{"category":"Elementary","mappings":{"default":{"default":"logarithm base 10","short":"log base 10"}},"key":"lg","names":["lg"]},{"category":"Elementary","mappings":{"default":{"default":"exponential","alternative":"exponential function","short":"exp"}},"key":"exp","names":["exp","expt"]},{"category":"Elementary","mappings":{"default":{"default":"greatest common divisor","short":"gcd"}},"key":"gcd","names":["gcd"]},{"category":"Elementary","mappings":{"default":{"default":"least common multiple","short":"lcm"}},"key":"lcm","names":["lcm"]},{"category":"Complex","mappings":{"default":{"default":"argument","short":"arg"}},"key":"arg","names":["arg"]},{"category":"Complex","mappings":{"default":{"default":"imaginary part","short":"imaginary"},"mathspeak":{"default":"im"}},"key":"im","names":["im"]},{"category":"Complex","mappings":{"default":{"default":"real part","short":"real"},"mathspeak":{"default":"re"}},"key":"re","names":["re"]},{"category":"Limits","mappings":{"default":{"default":"infimum","short":"inf"}},"key":"inf","names":["inf"]},{"category":"Limits","mappings":{"default":{"default":"limit","short":"lim"},"mathspeak":{"default":"limit"}},"key":"lim","names":["lim"]},{"category":"Limits","mappings":{"default":{"default":"infimum default","alternative":"inferior limit","short":"liminf"}},"key":"liminf","names":["lim inf","liminf"]},{"category":"Limits","mappings":{"default":{"default":"supremum limit","alternative":"superior limit","short":"limsup"}},"key":"limsup","names":["lim sup","limsup"]},{"category":"Limits","mappings":{"default":{"default":"maximum","short":"max"}},"key":"max","names":["max"]},{"category":"Limits","mappings":{"default":{"default":"minimum","short":"min"}},"key":"min","names":["min"]},{"category":"Limits","mappings":{"default":{"default":"supremum","short":"sup"}},"key":"sup","names":["sup"]},{"category":"Limits","mappings":{"default":{"default":"injective limit","alternative":"direct limit","short":"colimit"}},"key":"injlim","names":["injlim","inj lim"]},{"category":"Limits","mappings":{"default":{"default":"projective limit","alternative":"inverse limit","short":"limit"}},"key":"projlim","names":["projlim","proj lim"]},{"category":"Elementary","mappings":{"default":{"default":"modulo","short":"mod"}},"key":"mod","names":["mod"]},{"category":"Probability","mappings":{"default":{"default":"probability"}},"key":"Pr","names":["Pr"]}]

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[{"locale":"en"},{"category":"Hyperbolic","mappings":{"default":{"default":"hyperbolic cosine function","short":"hyperbolic cosine"}},"key":"cosh","names":["cosh"]},{"category":"Hyperbolic","mappings":{"default":{"default":"hyperbolic cotangent function","short":"hyperbolic cotangent"}},"key":"coth","names":["coth"]},{"category":"Hyperbolic","mappings":{"default":{"default":"hyperbolic cosecant function","short":"hyperbolic cosecant"}},"key":"csch","names":["csch"]},{"category":"Hyperbolic","mappings":{"default":{"default":"hyperbolic secant function","short":"hyperbolic secant"}},"key":"sech","names":["sech"]},{"category":"Hyperbolic","mappings":{"default":{"default":"hyperbolic sine function","short":"hyperbolic sine"}},"key":"sinh","names":["sinh"]},{"category":"Hyperbolic","mappings":{"default":{"default":"hyperbolic tangent function","short":"hyperbolic tangent"}},"key":"tanh","names":["tanh"]},{"category":"Area","mappings":{"default":{"default":"inverse hyperbolic cosine function","alternative":"area hyperbolic cosine function","short":"area hyperbolic cosine"}},"key":"arcosh","names":["arcosh","arccosh"]},{"category":"Area","mappings":{"default":{"default":"inverse hyperbolic cotangent function","alternative":"area hyperbolic cotangent function","short":"area hyperbolic cotangent"}},"key":"arcoth","names":["arcoth","arccoth"]},{"category":"Area","mappings":{"default":{"default":"inverse hyperbolic cosecant function","alternative":"area hyperbolic cosecant function","short":"area hyperbolic cosecant"}},"key":"arcsch","names":["arcsch","arccsch"]},{"category":"Area","mappings":{"default":{"default":"inverse hyperbolic secant function","alternative":"area hyperbolic secant function","short":"area hyperbolic secant"}},"key":"arsech","names":["arsech","arcsech"]},{"category":"Area","mappings":{"default":{"default":"inverse hyperbolic sine function","alternative":"area hyperbolic sine function","short":"area hyperbolic sine"}},"key":"arsinh","names":["arsinh","arcsinh"]},{"category":"Area","mappings":{"default":{"default":"inverse hyperbolic tangent function","alternative":"area hyperbolic tangent function","short":"area hyperbolic tangent"}},"key":"artanh","names":["artanh","arctanh"]}]

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[{"locale":"en"},{"category":"Trigonometric","mappings":{"default":{"default":"cosine function","short":"cosine"}},"key":"cos","names":["cos","cosine"]},{"category":"Trigonometric","mappings":{"default":{"default":"cotangent function","short":"cotangent"}},"key":"cot","names":["cot"]},{"category":"Trigonometric","mappings":{"default":{"default":"cosecant function","short":"cosecant"}},"key":"csc","names":["csc"]},{"category":"Trigonometric","mappings":{"default":{"default":"secant function","short":"secant"}},"key":"sec","names":["sec"]},{"category":"Trigonometric","mappings":{"default":{"default":"sine function","alternative":"sine function","short":"sine"}},"key":"sin","names":["sin","sine"]},{"category":"Trigonometric","mappings":{"default":{"default":"tangent function","short":"tangent"}},"key":"tan","names":["tan"]},{"category":"Cyclometric","mappings":{"default":{"default":"inverse cosine function","alternative":"arc cosine function","short":"arc cosine"}},"key":"arccos","names":["arccos"]},{"category":"Cyclometric","mappings":{"default":{"default":"inverse cotangent function","alternative":"arc cotangent function","short":"arc cotangent"}},"key":"arccot","names":["arccot"]},{"category":"Cyclometric","mappings":{"default":{"default":"inverse cosecant function","alternative":"arc cosecant function","short":"arc cosecant"}},"key":"arccsc","names":["arccsc"]},{"category":"Cyclometric","mappings":{"default":{"default":"inverse secant function","alternative":"arc secant function","short":"arc secant"}},"key":"arcsec","names":["arcsec"]},{"category":"Cyclometric","mappings":{"default":{"default":"inverse sine function","alternative":"arc sine function","short":"arc sine"}},"key":"arcsin","names":["arcsin"]},{"category":"Cyclometric","mappings":{"default":{"default":"inverse tangent function","alternative":"arc tangent function","short":"arc tangent"}},"key":"arctan","names":["arctan"]}]

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[{"locale":"en"},{"category":"Lu","key":"0391","mappings":{"default":{"default":"greek capital letter alpha","short":"cap alpha"},"mathspeak":{"default":"upper Alpha"}}},{"category":"Lu","key":"0392","mappings":{"default":{"default":"greek capital letter beta","short":"cap beta"},"mathspeak":{"default":"upper Beta"}}},{"category":"Lu","key":"0393","mappings":{"default":{"default":"greek capital letter gamma","short":"cap gamma"},"mathspeak":{"default":"upper Gamma"}}},{"category":"Lu","key":"0394","mappings":{"default":{"default":"greek capital letter delta","short":"cap delta"},"mathspeak":{"default":"upper Delta"}}},{"category":"Lu","key":"0395","mappings":{"default":{"default":"greek capital letter epsilon","short":"cap epsilon"},"mathspeak":{"default":"upper Epsilon"}}},{"category":"Lu","key":"0396","mappings":{"default":{"default":"greek capital letter zeta","short":"cap zeta"},"mathspeak":{"default":"upper Zeta"}}},{"category":"Lu","key":"0397","mappings":{"default":{"default":"greek capital letter eta","short":"cap eta"},"mathspeak":{"default":"upper Eta"}}},{"category":"Lu","key":"0398","mappings":{"default":{"default":"greek capital letter theta","short":"cap theta"},"mathspeak":{"default":"upper Theta"}}},{"category":"Lu","key":"0399","mappings":{"default":{"default":"greek capital letter iota","short":"cap iota"},"mathspeak":{"default":"upper Iota"}}},{"category":"Lu","key":"039A","mappings":{"default":{"default":"greek capital letter kappa","short":"cap kappa"},"mathspeak":{"default":"upper Kappa"}}},{"category":"Lu","key":"039B","mappings":{"default":{"default":"greek capital letter lamda","alternative":"greek capital letter lambda","short":"cap lamda"},"mathspeak":{"default":"upper Lamda"}}},{"category":"Lu","key":"039C","mappings":{"default":{"default":"greek capital letter mu","short":"cap mu"},"mathspeak":{"default":"upper Mu"}}},{"category":"Lu","key":"039D","mappings":{"default":{"default":"greek capital letter nu","short":"cap nu"},"mathspeak":{"default":"upper Nu"}}},{"category":"Lu","key":"039E","mappings":{"default":{"default":"greek capital letter xi","short":"cap xi"},"mathspeak":{"default":"upper Xi"}}},{"category":"Lu","key":"039F","mappings":{"default":{"default":"greek capital letter omicron","short":"cap omicron"},"mathspeak":{"default":"upper Omicron"}}},{"category":"Lu","key":"03A0","mappings":{"default":{"default":"greek capital letter pi","short":"cap pi"},"mathspeak":{"default":"upper Pi"}}},{"category":"Lu","key":"03A1","mappings":{"default":{"default":"greek capital letter rho","short":"cap rho"},"mathspeak":{"default":"upper Rho"}}},{"category":"Lu","key":"03A3","mappings":{"default":{"default":"greek capital letter sigma","short":"cap sigma"},"mathspeak":{"default":"upper Sigma"}}},{"category":"Lu","key":"03A4","mappings":{"default":{"default":"greek capital letter tau","short":"cap tau"},"mathspeak":{"default":"upper Tau"}}},{"category":"Lu","key":"03A5","mappings":{"default":{"default":"greek capital letter upsilon","short":"cap upsilon"},"mathspeak":{"default":"upper Upsilon"}}},{"category":"Lu","key":"03A6","mappings":{"default":{"default":"greek capital letter phi","short":"cap phi"},"mathspeak":{"default":"upper Phi"}}},{"category":"Lu","key":"03A7","mappings":{"default":{"default":"greek capital letter chi","short":"cap chi"},"mathspeak":{"default":"upper Chi"}}},{"category":"Lu","key":"03A8","mappings":{"default":{"default":"greek capital letter psi","short":"cap psi"},"mathspeak":{"default":"upper Psi"}}},{"category":"Lu","key":"03A9","mappings":{"default":{"default":"greek capital letter omega","short":"cap omega"},"mathspeak":{"default":"upper Omega"}}}]

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/*
* /MathJax/extensions/asciimath2jax.js
*
* Copyright (c) 2009-2018 The MathJax Consortium
*
* Licensed under the Apache License, Version 2.0 (the "License");
* you may not use this file except in compliance with the License.
* You may obtain a copy of the License at
*
* http://www.apache.org/licenses/LICENSE-2.0
*
* Unless required by applicable law or agreed to in writing, software
* distributed under the License is distributed on an "AS IS" BASIS,
* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
* See the License for the specific language governing permissions and
* limitations under the License.
*/
MathJax.Extension.asciimath2jax={version:"2.7.5",config:{delimiters:[["`","`"]],skipTags:["script","noscript","style","textarea","pre","code","annotation","annotation-xml"],ignoreClass:"asciimath2jax_ignore",processClass:"asciimath2jax_process",preview:"AsciiMath"},ignoreTags:{br:(MathJax.Hub.Browser.isMSIE&&document.documentMode<9?"\n":" "),wbr:"","#comment":""},PreProcess:function(a){if(!this.configured){this.config=MathJax.Hub.CombineConfig("asciimath2jax",this.config);if(this.config.Augment){MathJax.Hub.Insert(this,this.config.Augment)}this.configured=true}if(typeof(a)==="string"){a=document.getElementById(a)}if(!a){a=document.body}if(this.createPatterns()){this.scanElement(a,a.nextSibling)}},createPatterns:function(){var d=[],c,a,b=this.config;this.match={};if(b.delimiters.length===0){return false}for(c=0,a=b.delimiters.length;c<a;c++){d.push(this.patternQuote(b.delimiters[c][0]));this.match[b.delimiters[c][0]]={mode:"",end:b.delimiters[c][1],pattern:this.endPattern(b.delimiters[c][1])}}this.start=new RegExp(d.sort(this.sortLength).join("|"),"g");this.skipTags=new RegExp("^("+b.skipTags.join("|")+")$","i");var e=[];if(MathJax.Hub.config.preRemoveClass){e.push(MathJax.Hub.config.preRemoveClass)}if(b.ignoreClass){e.push(b.ignoreClass)}this.ignoreClass=(e.length?new RegExp("(^| )("+e.join("|")+")( |$)"):/^$/);this.processClass=new RegExp("(^| )("+b.processClass+")( |$)");return true},patternQuote:function(a){return a.replace(/([\^$(){}+*?\-|\[\]\:\\])/g,"\\$1")},endPattern:function(a){return new RegExp(this.patternQuote(a)+"|\\\\.","g")},sortLength:function(d,c){if(d.length!==c.length){return c.length-d.length}return(d==c?0:(d<c?-1:1))},scanElement:function(c,b,g){var a,e,d,f;while(c&&c!=b){if(c.nodeName.toLowerCase()==="#text"){if(!g){c=this.scanText(c)}}else{a=(typeof(c.className)==="undefined"?"":c.className);e=(typeof(c.tagName)==="undefined"?"":c.tagName);if(typeof(a)!=="string"){a=String(a)}f=this.processClass.exec(a);if(c.firstChild&&!a.match(/(^| )MathJax/)&&(f||!this.skipTags.exec(e))){d=(g||this.ignoreClass.exec(a))&&!f;this.scanElement(c.firstChild,b,d)}}if(c){c=c.nextSibling}}},scanText:function(c){if(c.nodeValue.replace(/\s+/,"")==""){return c}var b,d,e=0,a;this.search={start:true};this.pattern=this.start;while(c){a=null;this.pattern.lastIndex=e||0;e=0;while(c&&c.nodeName.toLowerCase()==="#text"&&(b=this.pattern.exec(c.nodeValue))){if(this.search.start){c=this.startMatch(b,c)}else{c=this.endMatch(b,c)}}if(this.search.matched){c=this.encloseMath(c)}else{if(!this.search.start){a=this.search}}if(c){do{d=c;c=c.nextSibling}while(c&&this.ignoreTags[c.nodeName.toLowerCase()]!=null);if(!c||c.nodeName!=="#text"){if(!a){return d}c=a.open;e=a.opos+a.olen;this.search={start:true};this.pattern=this.start}}}return c},startMatch:function(a,b){var c=this.match[a[0]];if(c!=null){this.search={end:c.end,mode:c.mode,open:b,olen:a[0].length,opos:this.pattern.lastIndex-a[0].length};this.switchPattern(c.pattern)}return b},endMatch:function(a,b){if(a[0]==this.search.end){this.search.close=b;this.search.cpos=this.pattern.lastIndex;this.search.clen=(this.search.isBeginEnd?0:a[0].length);this.search.matched=true;b=this.encloseMath(b);this.switchPattern(this.start)}return b},switchPattern:function(a){a.lastIndex=this.pattern.lastIndex;this.pattern=a;this.search.start=(a===this.start)},encloseMath:function(b){var a=this.search,g=a.close,f,d,c;if(a.cpos===g.length){g=g.nextSibling}else{g=g.splitText(a.cpos)}if(!g){f=g=MathJax.HTML.addText(a.close.parentNode,"")}a.close=g;d=(a.opos?a.open.splitText(a.opos):a.open);while((c=d.nextSibling)&&c!==g){if(c.nodeValue!==null){if(c.nodeName==="#comment"){d.nodeValue+=c.nodeValue.replace(/^\[CDATA\[((.|\n|\r)*)\]\]$/,"$1")}else{d.nodeValue+=d.nextSibling.nodeValue}}else{var h=this.ignoreTags[c.nodeName.toLowerCase()];d.nodeValue+=(h==null?" ":h)}d.parentNode.removeChild(c)}var e=d.nodeValue.substr(a.olen,d.nodeValue.length-a.olen-a.clen);d.parentNode.removeChild(d);if(this.config.preview!=="none"){this.createPreview(a.mode,e)}d=this.createMathTag(a.mode,e);this.search={};this.pattern.lastIndex=0;if(f){f.parentNode.removeChild(f)}return d},insertNode:function(b){var a=this.search;a.close.parentNode.insertBefore(b,a.close)},createPreview:function(d,a){var b=MathJax.Hub.config.preRemoveClass;var c=this.config.preview;if(c==="none"){return}if((this.search.close.previousSibling||{}).className===b){return}if(c==="AsciiMath"){c=[this.filterPreview(a)]}if(c){c=MathJax.HTML.Element("span",{className:b},c);this.insertNode(c)}},createMathTag:function(c,a){var b=document.createElement("script");b.type="math/asciimath"+c;MathJax.HTML.setScript(b,a);this.insertNode(b);return b},filterPreview:function(a){return a}};MathJax.Hub.Register.PreProcessor(["PreProcess",MathJax.Extension.asciimath2jax]);MathJax.Ajax.loadComplete("[MathJax]/extensions/asciimath2jax.js");

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/*
* /MathJax/extensions/fast-preview.js
*
* Copyright (c) 2009-2018 The MathJax Consortium
*
* Licensed under the Apache License, Version 2.0 (the "License");
* you may not use this file except in compliance with the License.
* You may obtain a copy of the License at
*
* http://www.apache.org/licenses/LICENSE-2.0
*
* Unless required by applicable law or agreed to in writing, software
* distributed under the License is distributed on an "AS IS" BASIS,
* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
* See the License for the specific language governing permissions and
* limitations under the License.
*/
(function(b,g,f){var c=b.config.menuSettings;var e=MathJax.OutputJax;var a=f.isMSIE&&(document.documentMode||0)<8;var d=MathJax.Extension["fast-preview"]={version:"2.7.5",enabled:true,config:b.CombineConfig("fast-preview",{Chunks:{EqnChunk:10000,EqnChunkFactor:1,EqnChunkDelay:0},color:"inherit!important",updateTime:30,updateDelay:6,messageStyle:"none",disabled:f.isMSIE&&!f.versionAtLeast("8.0")}),Config:function(){if(b.config["CHTML-preview"]){MathJax.Hub.Config({"fast-preview":b.config["CHTML-preview"]})}var m,j,k,h,l;var i=this.config;if(!i.disabled&&c.FastPreview==null){b.Config({menuSettings:{FastPreview:true}})}if(c.FastPreview){MathJax.Ajax.Styles({".MathJax_Preview .MJXf-math":{color:i.color}});b.Config({"HTML-CSS":i.Chunks,CommonHTML:i.Chunks,SVG:i.Chunks})}b.Register.MessageHook("Begin Math Output",function(){if(!h&&d.Active()){m=b.processUpdateTime;j=b.processUpdateDelay;k=b.config.messageStyle;b.processUpdateTime=i.updateTime;b.processUpdateDelay=i.updateDelay;b.Config({messageStyle:i.messageStyle});MathJax.Message.Clear(0,0);l=true}});b.Register.MessageHook("End Math Output",function(){if(!h&&l){b.processUpdateTime=m;b.processUpdateDelay=j;b.Config({messageStyle:k});h=true}})},Disable:function(){this.enabled=false},Enable:function(){this.enabled=true},Active:function(){return c.FastPreview&&this.enabled&&!(e[c.renderer]||{}).noFastPreview},Preview:function(h){if(!this.Active()||!h.script.parentNode){return}var i=h.script.MathJax.preview||h.script.previousSibling;if(!i||i.className!==MathJax.Hub.config.preRemoveClass){i=g.Element("span",{className:MathJax.Hub.config.preRemoveClass});h.script.parentNode.insertBefore(i,h.script);h.script.MathJax.preview=i}i.innerHTML="";i.style.color=(a?"black":"inherit");return this.postFilter(i,h)},postFilter:function(j,i){if(!i.math.root.toPreviewHTML){var h=MathJax.Callback.Queue();h.Push(["Require",MathJax.Ajax,"[MathJax]/jax/output/PreviewHTML/config.js"],["Require",MathJax.Ajax,"[MathJax]/jax/output/PreviewHTML/jax.js"]);b.RestartAfter(h.Push({}))}i.math.root.toPreviewHTML(j)},Register:function(h){b.Register.StartupHook(h+" Jax Require",function(){var i=MathJax.InputJax[h];i.postfilterHooks.Add(["Preview",MathJax.Extension["fast-preview"]],50)})}};d.Register("TeX");d.Register("MathML");d.Register("AsciiMath");b.Register.StartupHook("End Config",["Config",d]);b.Startup.signal.Post("fast-preview Ready")})(MathJax.Hub,MathJax.HTML,MathJax.Hub.Browser);MathJax.Ajax.loadComplete("[MathJax]/extensions/fast-preview.js");

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/*
* /MathJax/extensions/jsMath2jax.js
*
* Copyright (c) 2009-2018 The MathJax Consortium
*
* Licensed under the Apache License, Version 2.0 (the "License");
* you may not use this file except in compliance with the License.
* You may obtain a copy of the License at
*
* http://www.apache.org/licenses/LICENSE-2.0
*
* Unless required by applicable law or agreed to in writing, software
* distributed under the License is distributed on an "AS IS" BASIS,
* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
* See the License for the specific language governing permissions and
* limitations under the License.
*/
MathJax.Extension.jsMath2jax={version:"2.7.5",config:{preview:"TeX"},PreProcess:function(b){if(!this.configured){this.config=MathJax.Hub.CombineConfig("jsMath2jax",this.config);if(this.config.Augment){MathJax.Hub.Insert(this,this.config.Augment)}if(typeof(this.config.previewTeX)!=="undefined"&&!this.config.previewTeX){this.config.preview="none"}this.previewClass=MathJax.Hub.config.preRemoveClass;this.configured=true}if(typeof(b)==="string"){b=document.getElementById(b)}if(!b){b=document.body}var c=b.getElementsByTagName("span"),a;for(a=c.length-1;a>=0;a--){if(String(c[a].className).match(/(^| )math( |$)/)){this.ConvertMath(c[a],"")}}var d=b.getElementsByTagName("div");for(a=d.length-1;a>=0;a--){if(String(d[a].className).match(/(^| )math( |$)/)){this.ConvertMath(d[a],"; mode=display")}}},ConvertMath:function(c,d){if(c.getElementsByTagName("script").length===0){var b=c.parentNode,a=this.createMathTag(d,c.innerHTML);if(c.nextSibling){b.insertBefore(a,c.nextSibling)}else{b.appendChild(a)}if(this.config.preview!=="none"){this.createPreview(c)}b.removeChild(c)}},createPreview:function(b){var a=MathJax.Hub.config.preRemoveClass;var c=this.config.preview;if(c==="none"){return}if((b.previousSibling||{}).className===a){return}if(c==="TeX"){c=[this.filterPreview(b.innerHTML)]}if(c){c=MathJax.HTML.Element("span",{className:a},c);b.parentNode.insertBefore(c,b)}},createMathTag:function(c,b){b=b.replace(/&lt;/g,"<").replace(/&gt;/g,">").replace(/&amp;/g,"&");var a=document.createElement("script");a.type="math/tex"+c;MathJax.HTML.setScript(a,b);return a},filterPreview:function(a){return a}};MathJax.Hub.Register.PreProcessor(["PreProcess",MathJax.Extension.jsMath2jax],8);MathJax.Ajax.loadComplete("[MathJax]/extensions/jsMath2jax.js");

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/*
* /MathJax/extensions/mml2jax.js
*
* Copyright (c) 2009-2018 The MathJax Consortium
*
* Licensed under the Apache License, Version 2.0 (the "License");
* you may not use this file except in compliance with the License.
* You may obtain a copy of the License at
*
* http://www.apache.org/licenses/LICENSE-2.0
*
* Unless required by applicable law or agreed to in writing, software
* distributed under the License is distributed on an "AS IS" BASIS,
* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
* See the License for the specific language governing permissions and
* limitations under the License.
*/
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/*
* /MathJax/jax/element/mml/optable/Arrows.js
*
* Copyright (c) 2009-2018 The MathJax Consortium
*
* Licensed under the Apache License, Version 2.0 (the "License");
* you may not use this file except in compliance with the License.
* You may obtain a copy of the License at
*
* http://www.apache.org/licenses/LICENSE-2.0
*
* Unless required by applicable law or agreed to in writing, software
* distributed under the License is distributed on an "AS IS" BASIS,
* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
* See the License for the specific language governing permissions and
* limitations under the License.
*/
(function(a){var c=a.mo.OPTYPES;var b=a.TEXCLASS;MathJax.Hub.Insert(a.mo.prototype,{OPTABLE:{infix:{"\u219A":c.RELACCENT,"\u219B":c.RELACCENT,"\u219C":c.WIDEREL,"\u219D":c.WIDEREL,"\u219E":c.WIDEREL,"\u219F":c.WIDEREL,"\u21A0":c.WIDEREL,"\u21A1":c.RELSTRETCH,"\u21A2":c.WIDEREL,"\u21A3":c.WIDEREL,"\u21A4":c.WIDEREL,"\u21A5":c.RELSTRETCH,"\u21A7":c.RELSTRETCH,"\u21A8":c.RELSTRETCH,"\u21AB":c.WIDEREL,"\u21AC":c.WIDEREL,"\u21AD":c.WIDEREL,"\u21AE":c.RELACCENT,"\u21AF":c.RELSTRETCH,"\u21B0":c.RELSTRETCH,"\u21B1":c.RELSTRETCH,"\u21B2":c.RELSTRETCH,"\u21B3":c.RELSTRETCH,"\u21B4":c.RELSTRETCH,"\u21B5":c.RELSTRETCH,"\u21B6":c.RELACCENT,"\u21B7":c.RELACCENT,"\u21B8":c.REL,"\u21B9":c.WIDEREL,"\u21BA":c.REL,"\u21BB":c.REL,"\u21BE":c.RELSTRETCH,"\u21BF":c.RELSTRETCH,"\u21C2":c.RELSTRETCH,"\u21C3":c.RELSTRETCH,"\u21C4":c.WIDEREL,"\u21C5":c.RELSTRETCH,"\u21C6":c.WIDEREL,"\u21C7":c.WIDEREL,"\u21C8":c.RELSTRETCH,"\u21C9":c.WIDEREL,"\u21CA":c.RELSTRETCH,"\u21CB":c.WIDEREL,"\u21CD":c.RELACCENT,"\u21CE":c.RELACCENT,"\u21CF":c.RELACCENT,"\u21D6":c.RELSTRETCH,"\u21D7":c.RELSTRETCH,"\u21D8":c.RELSTRETCH,"\u21D9":c.RELSTRETCH,"\u21DA":c.WIDEREL,"\u21DB":c.WIDEREL,"\u21DC":c.WIDEREL,"\u21DD":c.WIDEREL,"\u21DE":c.REL,"\u21DF":c.REL,"\u21E0":c.WIDEREL,"\u21E1":c.RELSTRETCH,"\u21E2":c.WIDEREL,"\u21E3":c.RELSTRETCH,"\u21E4":c.WIDEREL,"\u21E5":c.WIDEREL,"\u21E6":c.WIDEREL,"\u21E7":c.RELSTRETCH,"\u21E8":c.WIDEREL,"\u21E9":c.RELSTRETCH,"\u21EA":c.RELSTRETCH,"\u21EB":c.RELSTRETCH,"\u21EC":c.RELSTRETCH,"\u21ED":c.RELSTRETCH,"\u21EE":c.RELSTRETCH,"\u21EF":c.RELSTRETCH,"\u21F0":c.WIDEREL,"\u21F1":c.REL,"\u21F2":c.REL,"\u21F3":c.RELSTRETCH,"\u21F4":c.RELACCENT,"\u21F5":c.RELSTRETCH,"\u21F6":c.WIDEREL,"\u21F7":c.RELACCENT,"\u21F8":c.RELACCENT,"\u21F9":c.RELACCENT,"\u21FA":c.RELACCENT,"\u21FB":c.RELACCENT,"\u21FC":c.RELACCENT,"\u21FD":c.WIDEREL,"\u21FE":c.WIDEREL,"\u21FF":c.WIDEREL}}});MathJax.Ajax.loadComplete(a.optableDir+"/Arrows.js")})(MathJax.ElementJax.mml);

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/*
* /MathJax/jax/element/mml/optable/BasicLatin.js
*
* Copyright (c) 2009-2018 The MathJax Consortium
*
* Licensed under the Apache License, Version 2.0 (the "License");
* you may not use this file except in compliance with the License.
* You may obtain a copy of the License at
*
* http://www.apache.org/licenses/LICENSE-2.0
*
* Unless required by applicable law or agreed to in writing, software
* distributed under the License is distributed on an "AS IS" BASIS,
* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
* See the License for the specific language governing permissions and
* limitations under the License.
*/
(function(a){var c=a.mo.OPTYPES;var b=a.TEXCLASS;MathJax.Hub.Insert(a.mo.prototype,{OPTABLE:{prefix:{"||":[0,0,b.BIN,{fence:true,stretchy:true,symmetric:true}],"|||":[0,0,b.ORD,{fence:true,stretchy:true,symmetric:true}]},postfix:{"!!":[1,0,b.BIN],"'":c.ACCENT,"++":[0,0,b.BIN],"--":[0,0,b.BIN],"..":[0,0,b.BIN],"...":c.ORD,"||":[0,0,b.BIN,{fence:true,stretchy:true,symmetric:true}],"|||":[0,0,b.ORD,{fence:true,stretchy:true,symmetric:true}]},infix:{"!=":c.BIN4,"&&":c.BIN4,"**":[1,1,b.BIN],"*=":c.BIN4,"+=":c.BIN4,"-=":c.BIN4,"->":c.BIN5,"//":[1,1,b.BIN],"/=":c.BIN4,":=":c.BIN4,"<=":c.BIN5,"<>":[1,1,b.BIN],"==":c.BIN4,">=":c.BIN5,"@":c.ORD11,"||":[2,2,b.BIN,{fence:true,stretchy:true,symmetric:true}],"|||":[2,2,b.ORD,{fence:true,stretchy:true,symmetric:true}]}}});MathJax.Ajax.loadComplete(a.optableDir+"/BasicLatin.js")})(MathJax.ElementJax.mml);

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/*
* /MathJax/jax/element/mml/optable/CombDiacritMarks.js
*
* Copyright (c) 2009-2018 The MathJax Consortium
*
* Licensed under the Apache License, Version 2.0 (the "License");
* you may not use this file except in compliance with the License.
* You may obtain a copy of the License at
*
* http://www.apache.org/licenses/LICENSE-2.0
*
* Unless required by applicable law or agreed to in writing, software
* distributed under the License is distributed on an "AS IS" BASIS,
* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
* See the License for the specific language governing permissions and
* limitations under the License.
*/
(function(a){var c=a.mo.OPTYPES;var b=a.TEXCLASS;MathJax.Hub.Insert(a.mo.prototype,{OPTABLE:{postfix:{"\u0311":c.ACCENT}}});MathJax.Ajax.loadComplete(a.optableDir+"/CombDiacritMarks.js")})(MathJax.ElementJax.mml);

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/*
* /MathJax/jax/element/mml/optable/CombDiactForSymbols.js
*
* Copyright (c) 2009-2018 The MathJax Consortium
*
* Licensed under the Apache License, Version 2.0 (the "License");
* you may not use this file except in compliance with the License.
* You may obtain a copy of the License at
*
* http://www.apache.org/licenses/LICENSE-2.0
*
* Unless required by applicable law or agreed to in writing, software
* distributed under the License is distributed on an "AS IS" BASIS,
* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
* See the License for the specific language governing permissions and
* limitations under the License.
*/
(function(a){var c=a.mo.OPTYPES;var b=a.TEXCLASS;MathJax.Hub.Insert(a.mo.prototype,{OPTABLE:{postfix:{"\u20DB":c.ACCENT,"\u20DC":c.ACCENT}}});MathJax.Ajax.loadComplete(a.optableDir+"/CombDiactForSymbols.js")})(MathJax.ElementJax.mml);

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/*
* /MathJax/jax/element/mml/optable/Dingbats.js
*
* Copyright (c) 2009-2018 The MathJax Consortium
*
* Licensed under the Apache License, Version 2.0 (the "License");
* you may not use this file except in compliance with the License.
* You may obtain a copy of the License at
*
* http://www.apache.org/licenses/LICENSE-2.0
*
* Unless required by applicable law or agreed to in writing, software
* distributed under the License is distributed on an "AS IS" BASIS,
* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
* See the License for the specific language governing permissions and
* limitations under the License.
*/
(function(a){var c=a.mo.OPTYPES;var b=a.TEXCLASS;MathJax.Hub.Insert(a.mo.prototype,{OPTABLE:{prefix:{"\u2772":c.OPEN},postfix:{"\u2773":c.CLOSE}}});MathJax.Ajax.loadComplete(a.optableDir+"/Dingbats.js")})(MathJax.ElementJax.mml);

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/*
* /MathJax/jax/element/mml/optable/GeneralPunctuation.js
*
* Copyright (c) 2009-2018 The MathJax Consortium
*
* Licensed under the Apache License, Version 2.0 (the "License");
* you may not use this file except in compliance with the License.
* You may obtain a copy of the License at
*
* http://www.apache.org/licenses/LICENSE-2.0
*
* Unless required by applicable law or agreed to in writing, software
* distributed under the License is distributed on an "AS IS" BASIS,
* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
* See the License for the specific language governing permissions and
* limitations under the License.
*/
(function(a){var c=a.mo.OPTYPES;var b=a.TEXCLASS;MathJax.Hub.Insert(a.mo.prototype,{OPTABLE:{prefix:{"\u2016":[0,0,b.ORD,{fence:true,stretchy:true}],"\u2018":[0,0,b.OPEN,{fence:true}],"\u201C":[0,0,b.OPEN,{fence:true}]},postfix:{"\u2016":[0,0,b.ORD,{fence:true,stretchy:true}],"\u2019":[0,0,b.CLOSE,{fence:true}],"\u201D":[0,0,b.CLOSE,{fence:true}]}}});MathJax.Ajax.loadComplete(a.optableDir+"/GeneralPunctuation.js")})(MathJax.ElementJax.mml);

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/*
* /MathJax/jax/element/mml/optable/GeometricShapes.js
*
* Copyright (c) 2009-2018 The MathJax Consortium
*
* Licensed under the Apache License, Version 2.0 (the "License");
* you may not use this file except in compliance with the License.
* You may obtain a copy of the License at
*
* http://www.apache.org/licenses/LICENSE-2.0
*
* Unless required by applicable law or agreed to in writing, software
* distributed under the License is distributed on an "AS IS" BASIS,
* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
* See the License for the specific language governing permissions and
* limitations under the License.
*/
(function(a){var c=a.mo.OPTYPES;var b=a.TEXCLASS;MathJax.Hub.Insert(a.mo.prototype,{OPTABLE:{infix:{"\u25A0":c.BIN3,"\u25A1":c.BIN3,"\u25AA":c.BIN3,"\u25AB":c.BIN3,"\u25AD":c.BIN3,"\u25AE":c.BIN3,"\u25AF":c.BIN3,"\u25B0":c.BIN3,"\u25B1":c.BIN3,"\u25B2":c.BIN4,"\u25B4":c.BIN4,"\u25B6":c.BIN4,"\u25B7":c.BIN4,"\u25B8":c.BIN4,"\u25BC":c.BIN4,"\u25BE":c.BIN4,"\u25C0":c.BIN4,"\u25C1":c.BIN4,"\u25C2":c.BIN4,"\u25C4":c.BIN4,"\u25C5":c.BIN4,"\u25C6":c.BIN4,"\u25C7":c.BIN4,"\u25C8":c.BIN4,"\u25C9":c.BIN4,"\u25CC":c.BIN4,"\u25CD":c.BIN4,"\u25CE":c.BIN4,"\u25CF":c.BIN4,"\u25D6":c.BIN4,"\u25D7":c.BIN4,"\u25E6":c.BIN4}}});MathJax.Ajax.loadComplete(a.optableDir+"/GeometricShapes.js")})(MathJax.ElementJax.mml);

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/*
* /MathJax/jax/element/mml/optable/GreekAndCoptic.js
*
* Copyright (c) 2009-2018 The MathJax Consortium
*
* Licensed under the Apache License, Version 2.0 (the "License");
* you may not use this file except in compliance with the License.
* You may obtain a copy of the License at
*
* http://www.apache.org/licenses/LICENSE-2.0
*
* Unless required by applicable law or agreed to in writing, software
* distributed under the License is distributed on an "AS IS" BASIS,
* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
* See the License for the specific language governing permissions and
* limitations under the License.
*/
(function(a){var c=a.mo.OPTYPES;var b=a.TEXCLASS;MathJax.Hub.Insert(a.mo.prototype,{OPTABLE:{infix:{"\u03F6":c.REL}}});MathJax.Ajax.loadComplete(a.optableDir+"/GreekAndCoptic.js")})(MathJax.ElementJax.mml);

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/*
* /MathJax/jax/element/mml/optable/Latin1Supplement.js
*
* Copyright (c) 2009-2018 The MathJax Consortium
*
* Licensed under the Apache License, Version 2.0 (the "License");
* you may not use this file except in compliance with the License.
* You may obtain a copy of the License at
*
* http://www.apache.org/licenses/LICENSE-2.0
*
* Unless required by applicable law or agreed to in writing, software
* distributed under the License is distributed on an "AS IS" BASIS,
* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
* See the License for the specific language governing permissions and
* limitations under the License.
*/
(function(a){var c=a.mo.OPTYPES;var b=a.TEXCLASS;MathJax.Hub.Insert(a.mo.prototype,{OPTABLE:{postfix:{"\u00B0":c.ORD,"\u00B4":c.ACCENT,"\u00B8":c.ACCENT}}});MathJax.Ajax.loadComplete(a.optableDir+"/Latin1Supplement.js")})(MathJax.ElementJax.mml);

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/*
* /MathJax/jax/element/mml/optable/LetterlikeSymbols.js
*
* Copyright (c) 2009-2018 The MathJax Consortium
*
* Licensed under the Apache License, Version 2.0 (the "License");
* you may not use this file except in compliance with the License.
* You may obtain a copy of the License at
*
* http://www.apache.org/licenses/LICENSE-2.0
*
* Unless required by applicable law or agreed to in writing, software
* distributed under the License is distributed on an "AS IS" BASIS,
* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
* See the License for the specific language governing permissions and
* limitations under the License.
*/
(function(a){var c=a.mo.OPTYPES;var b=a.TEXCLASS;MathJax.Hub.Insert(a.mo.prototype,{OPTABLE:{prefix:{"\u2145":c.ORD21,"\u2146":[2,0,b.ORD]}}});MathJax.Ajax.loadComplete(a.optableDir+"/LetterlikeSymbols.js")})(MathJax.ElementJax.mml);

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/*
* /MathJax/jax/element/mml/optable/MathOperators.js
*
* Copyright (c) 2009-2018 The MathJax Consortium
*
* Licensed under the Apache License, Version 2.0 (the "License");
* you may not use this file except in compliance with the License.
* You may obtain a copy of the License at
*
* http://www.apache.org/licenses/LICENSE-2.0
*
* Unless required by applicable law or agreed to in writing, software
* distributed under the License is distributed on an "AS IS" BASIS,
* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
* See the License for the specific language governing permissions and
* limitations under the License.
*/
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mathjax/asset/jax/element/mml/optable/MiscMathSymbolsA.js Normal file
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* You may obtain a copy of the License at
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* http://www.apache.org/licenses/LICENSE-2.0
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* Unless required by applicable law or agreed to in writing, software
* distributed under the License is distributed on an "AS IS" BASIS,
* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
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* limitations under the License.
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mathjax/asset/jax/element/mml/optable/MiscMathSymbolsB.js Normal file
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* You may obtain a copy of the License at
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* http://www.apache.org/licenses/LICENSE-2.0
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mathjax/asset/jax/element/mml/optable/MiscSymbolsAndArrows.js Normal file
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* http://www.apache.org/licenses/LICENSE-2.0
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* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
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* limitations under the License.
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mathjax/asset/jax/element/mml/optable/MiscTechnical.js Normal file
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* Copyright (c) 2009-2018 The MathJax Consortium
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* You may obtain a copy of the License at
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mathjax/asset/jax/element/mml/optable/SpacingModLetters.js Normal file
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* See the License for the specific language governing permissions and
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mathjax/asset/jax/element/mml/optable/SuppMathOperators.js Normal file
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* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
* See the License for the specific language governing permissions and
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* Copyright (c) 2009-2018 The MathJax Consortium
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* Licensed under the Apache License, Version 2.0 (the "License");
* you may not use this file except in compliance with the License.
* You may obtain a copy of the License at
*
* http://www.apache.org/licenses/LICENSE-2.0
*
* Unless required by applicable law or agreed to in writing, software
* distributed under the License is distributed on an "AS IS" BASIS,
* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
* See the License for the specific language governing permissions and
* limitations under the License.
*/
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* /MathJax/jax/element/mml/optable/SupplementalArrowsB.js
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* Copyright (c) 2009-2018 The MathJax Consortium
*
* Licensed under the Apache License, Version 2.0 (the "License");
* you may not use this file except in compliance with the License.
* You may obtain a copy of the License at
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* http://www.apache.org/licenses/LICENSE-2.0
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* Unless required by applicable law or agreed to in writing, software
* distributed under the License is distributed on an "AS IS" BASIS,
* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
* See the License for the specific language governing permissions and
* limitations under the License.
*/
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/*
* /MathJax/jax/input/AsciiMath/config.js
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* Copyright (c) 2009-2018 The MathJax Consortium
*
* Licensed under the Apache License, Version 2.0 (the "License");
* you may not use this file except in compliance with the License.
* You may obtain a copy of the License at
*
* http://www.apache.org/licenses/LICENSE-2.0
*
* Unless required by applicable law or agreed to in writing, software
* distributed under the License is distributed on an "AS IS" BASIS,
* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
* See the License for the specific language governing permissions and
* limitations under the License.
*/
MathJax.InputJax.AsciiMath=MathJax.InputJax({id:"AsciiMath",version:"2.7.5",directory:MathJax.InputJax.directory+"/AsciiMath",extensionDir:MathJax.InputJax.extensionDir+"/AsciiMath",config:{fixphi:true,useMathMLspacing:true,displaystyle:true,decimalsign:"."}});MathJax.InputJax.AsciiMath.Register("math/asciimath");MathJax.InputJax.AsciiMath.loadComplete("config.js");

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/*
* /MathJax/jax/input/MathML/config.js
*
* Copyright (c) 2009-2018 The MathJax Consortium
*
* Licensed under the Apache License, Version 2.0 (the "License");
* you may not use this file except in compliance with the License.
* You may obtain a copy of the License at
*
* http://www.apache.org/licenses/LICENSE-2.0
*
* Unless required by applicable law or agreed to in writing, software
* distributed under the License is distributed on an "AS IS" BASIS,
* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
* See the License for the specific language governing permissions and
* limitations under the License.
*/
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/*
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*
* Copyright (c) 2009-2018 The MathJax Consortium
*
* Licensed under the Apache License, Version 2.0 (the "License");
* you may not use this file except in compliance with the License.
* You may obtain a copy of the License at
*
* http://www.apache.org/licenses/LICENSE-2.0
*
* Unless required by applicable law or agreed to in writing, software
* distributed under the License is distributed on an "AS IS" BASIS,
* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
* See the License for the specific language governing permissions and
* limitations under the License.
*/
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* Copyright (c) 2009-2018 The MathJax Consortium
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* Licensed under the Apache License, Version 2.0 (the "License");
* you may not use this file except in compliance with the License.
* You may obtain a copy of the License at
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* http://www.apache.org/licenses/LICENSE-2.0
*
* Unless required by applicable law or agreed to in writing, software
* distributed under the License is distributed on an "AS IS" BASIS,
* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
* See the License for the specific language governing permissions and
* limitations under the License.
*/
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/*
* /MathJax/jax/input/MathML/entities/c.js
*
* Copyright (c) 2009-2018 The MathJax Consortium
*
* Licensed under the Apache License, Version 2.0 (the "License");
* you may not use this file except in compliance with the License.
* You may obtain a copy of the License at
*
* http://www.apache.org/licenses/LICENSE-2.0
*
* Unless required by applicable law or agreed to in writing, software
* distributed under the License is distributed on an "AS IS" BASIS,
* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
* See the License for the specific language governing permissions and
* limitations under the License.
*/
(function(a){MathJax.Hub.Insert(a.Parse.Entity,{CHcy:"\u0427",COPY:"\u00A9",Cacute:"\u0106",CapitalDifferentialD:"\u2145",Cayleys:"\u212D",Ccaron:"\u010C",Ccedil:"\u00C7",Ccirc:"\u0108",Cconint:"\u2230",Cdot:"\u010A",Cedilla:"\u00B8",Chi:"\u03A7",ClockwiseContourIntegral:"\u2232",CloseCurlyDoubleQuote:"\u201D",CloseCurlyQuote:"\u2019",Colon:"\u2237",Colone:"\u2A74",Conint:"\u222F",CounterClockwiseContourIntegral:"\u2233",cacute:"\u0107",capand:"\u2A44",capbrcup:"\u2A49",capcap:"\u2A4B",capcup:"\u2A47",capdot:"\u2A40",caps:"\u2229\uFE00",caret:"\u2041",caron:"\u02C7",ccaps:"\u2A4D",ccaron:"\u010D",ccedil:"\u00E7",ccirc:"\u0109",ccups:"\u2A4C",ccupssm:"\u2A50",cdot:"\u010B",cedil:"\u00B8",cemptyv:"\u29B2",cent:"\u00A2",centerdot:"\u00B7",chcy:"\u0447",checkmark:"\u2713",cir:"\u25CB",cirE:"\u29C3",cire:"\u2257",cirfnint:"\u2A10",cirmid:"\u2AEF",cirscir:"\u29C2",clubsuit:"\u2663",colone:"\u2254",coloneq:"\u2254",comma:"\u002C",commat:"\u0040",compfn:"\u2218",complement:"\u2201",complexes:"\u2102",cong:"\u2245",congdot:"\u2A6D",conint:"\u222E",coprod:"\u2210",copy:"\u00A9",copysr:"\u2117",crarr:"\u21B5",cross:"\u2717",csub:"\u2ACF",csube:"\u2AD1",csup:"\u2AD0",csupe:"\u2AD2",cudarrl:"\u2938",cudarrr:"\u2935",cularrp:"\u293D",cupbrcap:"\u2A48",cupcap:"\u2A46",cupcup:"\u2A4A",cupdot:"\u228D",cupor:"\u2A45",cups:"\u222A\uFE00",curarrm:"\u293C",curlyeqprec:"\u22DE",curlyeqsucc:"\u22DF",curren:"\u00A4",curvearrowleft:"\u21B6",curvearrowright:"\u21B7",cuvee:"\u22CE",cuwed:"\u22CF",cwconint:"\u2232",cwint:"\u2231",cylcty:"\u232D"});MathJax.Ajax.loadComplete(a.entityDir+"/c.js")})(MathJax.InputJax.MathML);

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mathjax/asset/jax/input/MathML/entities/d.js Normal file
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/*
* /MathJax/jax/input/MathML/entities/d.js
*
* Copyright (c) 2009-2018 The MathJax Consortium
*
* Licensed under the Apache License, Version 2.0 (the "License");
* you may not use this file except in compliance with the License.
* You may obtain a copy of the License at
*
* http://www.apache.org/licenses/LICENSE-2.0
*
* Unless required by applicable law or agreed to in writing, software
* distributed under the License is distributed on an "AS IS" BASIS,
* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
* See the License for the specific language governing permissions and
* limitations under the License.
*/
(function(a){MathJax.Hub.Insert(a.Parse.Entity,{DD:"\u2145",DDotrahd:"\u2911",DJcy:"\u0402",DScy:"\u0405",DZcy:"\u040F",Darr:"\u21A1",Dashv:"\u2AE4",Dcaron:"\u010E",Dcy:"\u0414",DiacriticalAcute:"\u00B4",DiacriticalDot:"\u02D9",DiacriticalDoubleAcute:"\u02DD",DiacriticalGrave:"\u0060",DiacriticalTilde:"\u02DC",Dot:"\u00A8",DotDot:"\u20DC",DoubleContourIntegral:"\u222F",DoubleDownArrow:"\u21D3",DoubleLeftArrow:"\u21D0",DoubleLeftRightArrow:"\u21D4",DoubleLeftTee:"\u2AE4",DoubleLongLeftArrow:"\u27F8",DoubleLongLeftRightArrow:"\u27FA",DoubleLongRightArrow:"\u27F9",DoubleRightArrow:"\u21D2",DoubleUpArrow:"\u21D1",DoubleUpDownArrow:"\u21D5",DownArrowBar:"\u2913",DownArrowUpArrow:"\u21F5",DownBreve:"\u0311",DownLeftRightVector:"\u2950",DownLeftTeeVector:"\u295E",DownLeftVectorBar:"\u2956",DownRightTeeVector:"\u295F",DownRightVectorBar:"\u2957",DownTeeArrow:"\u21A7",Dstrok:"\u0110",dArr:"\u21D3",dHar:"\u2965",darr:"\u2193",dash:"\u2010",dashv:"\u22A3",dbkarow:"\u290F",dblac:"\u02DD",dcaron:"\u010F",dcy:"\u0434",dd:"\u2146",ddagger:"\u2021",ddotseq:"\u2A77",demptyv:"\u29B1",dfisht:"\u297F",dharl:"\u21C3",dharr:"\u21C2",diam:"\u22C4",diamond:"\u22C4",diamondsuit:"\u2666",diams:"\u2666",die:"\u00A8",disin:"\u22F2",divide:"\u00F7",divonx:"\u22C7",djcy:"\u0452",dlcorn:"\u231E",dlcrop:"\u230D",dollar:"\u0024",doteq:"\u2250",dotminus:"\u2238",doublebarwedge:"\u2306",downarrow:"\u2193",downdownarrows:"\u21CA",downharpoonleft:"\u21C3",downharpoonright:"\u21C2",drbkarow:"\u2910",drcorn:"\u231F",drcrop:"\u230C",dscy:"\u0455",dsol:"\u29F6",dstrok:"\u0111",dtri:"\u25BF",dtrif:"\u25BE",duarr:"\u21F5",duhar:"\u296F",dwangle:"\u29A6",dzcy:"\u045F",dzigrarr:"\u27FF"});MathJax.Ajax.loadComplete(a.entityDir+"/d.js")})(MathJax.InputJax.MathML);

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/*
* /MathJax/jax/input/MathML/entities/e.js
*
* Copyright (c) 2009-2018 The MathJax Consortium
*
* Licensed under the Apache License, Version 2.0 (the "License");
* you may not use this file except in compliance with the License.
* You may obtain a copy of the License at
*
* http://www.apache.org/licenses/LICENSE-2.0
*
* Unless required by applicable law or agreed to in writing, software
* distributed under the License is distributed on an "AS IS" BASIS,
* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
* See the License for the specific language governing permissions and
* limitations under the License.
*/
(function(a){MathJax.Hub.Insert(a.Parse.Entity,{ENG:"\u014A",ETH:"\u00D0",Eacute:"\u00C9",Ecaron:"\u011A",Ecirc:"\u00CA",Ecy:"\u042D",Edot:"\u0116",Egrave:"\u00C8",Emacr:"\u0112",EmptySmallSquare:"\u25FB",EmptyVerySmallSquare:"\u25AB",Eogon:"\u0118",Epsilon:"\u0395",Equal:"\u2A75",Esim:"\u2A73",Eta:"\u0397",Euml:"\u00CB",eDDot:"\u2A77",eDot:"\u2251",eacute:"\u00E9",easter:"\u2A6E",ecaron:"\u011B",ecirc:"\u00EA",ecolon:"\u2255",ecy:"\u044D",edot:"\u0117",ee:"\u2147",eg:"\u2A9A",egrave:"\u00E8",egsdot:"\u2A98",el:"\u2A99",elinters:"\u23E7",elsdot:"\u2A97",emacr:"\u0113",emptyset:"\u2205",emptyv:"\u2205",emsp:"\u2003",emsp13:"\u2004",emsp14:"\u2005",eng:"\u014B",ensp:"\u2002",eogon:"\u0119",epar:"\u22D5",eparsl:"\u29E3",eplus:"\u2A71",epsilon:"\u03B5",eqcirc:"\u2256",eqcolon:"\u2255",eqsim:"\u2242",eqslantgtr:"\u2A96",eqslantless:"\u2A95",equals:"\u003D",equest:"\u225F",equiv:"\u2261",equivDD:"\u2A78",eqvparsl:"\u29E5",erarr:"\u2971",esdot:"\u2250",esim:"\u2242",euml:"\u00EB",euro:"\u20AC",excl:"\u0021",exist:"\u2203",expectation:"\u2130",exponentiale:"\u2147"});MathJax.Ajax.loadComplete(a.entityDir+"/e.js")})(MathJax.InputJax.MathML);

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mathjax/asset/jax/input/MathML/entities/f.js Normal file
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/*
* /MathJax/jax/input/MathML/entities/f.js
*
* Copyright (c) 2009-2018 The MathJax Consortium
*
* Licensed under the Apache License, Version 2.0 (the "License");
* you may not use this file except in compliance with the License.
* You may obtain a copy of the License at
*
* http://www.apache.org/licenses/LICENSE-2.0
*
* Unless required by applicable law or agreed to in writing, software
* distributed under the License is distributed on an "AS IS" BASIS,
* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
* See the License for the specific language governing permissions and
* limitations under the License.
*/
(function(a){MathJax.Hub.Insert(a.Parse.Entity,{Fcy:"\u0424",FilledSmallSquare:"\u25FC",Fouriertrf:"\u2131",fallingdotseq:"\u2252",fcy:"\u0444",female:"\u2640",ffilig:"\uFB03",fflig:"\uFB00",ffllig:"\uFB04",filig:"\uFB01",fjlig:"\u0066\u006A",fllig:"\uFB02",fltns:"\u25B1",fnof:"\u0192",forall:"\u2200",forkv:"\u2AD9",fpartint:"\u2A0D",frac12:"\u00BD",frac13:"\u2153",frac14:"\u00BC",frac15:"\u2155",frac16:"\u2159",frac18:"\u215B",frac23:"\u2154",frac25:"\u2156",frac34:"\u00BE",frac35:"\u2157",frac38:"\u215C",frac45:"\u2158",frac56:"\u215A",frac58:"\u215D",frac78:"\u215E",frasl:"\u2044"});MathJax.Ajax.loadComplete(a.entityDir+"/f.js")})(MathJax.InputJax.MathML);

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/*
* /MathJax/jax/input/MathML/entities/fr.js
*
* Copyright (c) 2009-2018 The MathJax Consortium
*
* Licensed under the Apache License, Version 2.0 (the "License");
* you may not use this file except in compliance with the License.
* You may obtain a copy of the License at
*
* http://www.apache.org/licenses/LICENSE-2.0
*
* Unless required by applicable law or agreed to in writing, software
* distributed under the License is distributed on an "AS IS" BASIS,
* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
* See the License for the specific language governing permissions and
* limitations under the License.
*/
(function(a){MathJax.Hub.Insert(a.Parse.Entity,{Afr:"\uD835\uDD04",Bfr:"\uD835\uDD05",Cfr:"\u212D",Dfr:"\uD835\uDD07",Efr:"\uD835\uDD08",Ffr:"\uD835\uDD09",Gfr:"\uD835\uDD0A",Hfr:"\u210C",Ifr:"\u2111",Jfr:"\uD835\uDD0D",Kfr:"\uD835\uDD0E",Lfr:"\uD835\uDD0F",Mfr:"\uD835\uDD10",Nfr:"\uD835\uDD11",Ofr:"\uD835\uDD12",Pfr:"\uD835\uDD13",Qfr:"\uD835\uDD14",Rfr:"\u211C",Sfr:"\uD835\uDD16",Tfr:"\uD835\uDD17",Ufr:"\uD835\uDD18",Vfr:"\uD835\uDD19",Wfr:"\uD835\uDD1A",Xfr:"\uD835\uDD1B",Yfr:"\uD835\uDD1C",Zfr:"\u2128",afr:"\uD835\uDD1E",bfr:"\uD835\uDD1F",cfr:"\uD835\uDD20",dfr:"\uD835\uDD21",efr:"\uD835\uDD22",ffr:"\uD835\uDD23",gfr:"\uD835\uDD24",hfr:"\uD835\uDD25",ifr:"\uD835\uDD26",jfr:"\uD835\uDD27",kfr:"\uD835\uDD28",lfr:"\uD835\uDD29",mfr:"\uD835\uDD2A",nfr:"\uD835\uDD2B",ofr:"\uD835\uDD2C",pfr:"\uD835\uDD2D",qfr:"\uD835\uDD2E",rfr:"\uD835\uDD2F",sfr:"\uD835\uDD30",tfr:"\uD835\uDD31",ufr:"\uD835\uDD32",vfr:"\uD835\uDD33",wfr:"\uD835\uDD34",xfr:"\uD835\uDD35",yfr:"\uD835\uDD36",zfr:"\uD835\uDD37"});MathJax.Ajax.loadComplete(a.entityDir+"/fr.js")})(MathJax.InputJax.MathML);

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mathjax/asset/jax/input/MathML/entities/g.js Normal file
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/*
* /MathJax/jax/input/MathML/entities/g.js
*
* Copyright (c) 2009-2018 The MathJax Consortium
*
* Licensed under the Apache License, Version 2.0 (the "License");
* you may not use this file except in compliance with the License.
* You may obtain a copy of the License at
*
* http://www.apache.org/licenses/LICENSE-2.0
*
* Unless required by applicable law or agreed to in writing, software
* distributed under the License is distributed on an "AS IS" BASIS,
* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
* See the License for the specific language governing permissions and
* limitations under the License.
*/
(function(a){MathJax.Hub.Insert(a.Parse.Entity,{GJcy:"\u0403",GT:"\u003E",Gammad:"\u03DC",Gbreve:"\u011E",Gcedil:"\u0122",Gcirc:"\u011C",Gcy:"\u0413",Gdot:"\u0120",GreaterGreater:"\u2AA2",Gt:"\u226B",gE:"\u2267",gacute:"\u01F5",gammad:"\u03DD",gbreve:"\u011F",gcirc:"\u011D",gcy:"\u0433",gdot:"\u0121",ge:"\u2265",gel:"\u22DB",geq:"\u2265",geqq:"\u2267",geqslant:"\u2A7E",ges:"\u2A7E",gescc:"\u2AA9",gesdot:"\u2A80",gesdoto:"\u2A82",gesdotol:"\u2A84",gesl:"\u22DB\uFE00",gesles:"\u2A94",gg:"\u226B",ggg:"\u22D9",gjcy:"\u0453",gl:"\u2277",glE:"\u2A92",gla:"\u2AA5",glj:"\u2AA4",gnapprox:"\u2A8A",gneq:"\u2A88",gneqq:"\u2269",grave:"\u0060",gsim:"\u2273",gsime:"\u2A8E",gsiml:"\u2A90",gtcc:"\u2AA7",gtcir:"\u2A7A",gtlPar:"\u2995",gtquest:"\u2A7C",gtrapprox:"\u2A86",gtrarr:"\u2978",gtrdot:"\u22D7",gtreqless:"\u22DB",gtreqqless:"\u2A8C",gtrless:"\u2277",gtrsim:"\u2273",gvertneqq:"\u2269\uFE00",gvnE:"\u2269\uFE00"});MathJax.Ajax.loadComplete(a.entityDir+"/g.js")})(MathJax.InputJax.MathML);

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mathjax/asset/jax/input/MathML/entities/h.js Normal file
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/*
* /MathJax/jax/input/MathML/entities/h.js
*
* Copyright (c) 2009-2018 The MathJax Consortium
*
* Licensed under the Apache License, Version 2.0 (the "License");
* you may not use this file except in compliance with the License.
* You may obtain a copy of the License at
*
* http://www.apache.org/licenses/LICENSE-2.0
*
* Unless required by applicable law or agreed to in writing, software
* distributed under the License is distributed on an "AS IS" BASIS,
* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
* See the License for the specific language governing permissions and
* limitations under the License.
*/
(function(a){MathJax.Hub.Insert(a.Parse.Entity,{HARDcy:"\u042A",Hcirc:"\u0124",HilbertSpace:"\u210B",HorizontalLine:"\u2500",Hstrok:"\u0126",hArr:"\u21D4",hairsp:"\u200A",half:"\u00BD",hamilt:"\u210B",hardcy:"\u044A",harr:"\u2194",harrcir:"\u2948",hcirc:"\u0125",hearts:"\u2665",heartsuit:"\u2665",hercon:"\u22B9",hksearow:"\u2925",hkswarow:"\u2926",hoarr:"\u21FF",homtht:"\u223B",horbar:"\u2015",hslash:"\u210F",hstrok:"\u0127",hybull:"\u2043",hyphen:"\u2010"});MathJax.Ajax.loadComplete(a.entityDir+"/h.js")})(MathJax.InputJax.MathML);

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mathjax/asset/jax/input/MathML/entities/i.js Normal file
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/*
* /MathJax/jax/input/MathML/entities/i.js
*
* Copyright (c) 2009-2018 The MathJax Consortium
*
* Licensed under the Apache License, Version 2.0 (the "License");
* you may not use this file except in compliance with the License.
* You may obtain a copy of the License at
*
* http://www.apache.org/licenses/LICENSE-2.0
*
* Unless required by applicable law or agreed to in writing, software
* distributed under the License is distributed on an "AS IS" BASIS,
* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
* See the License for the specific language governing permissions and
* limitations under the License.
*/
(function(a){MathJax.Hub.Insert(a.Parse.Entity,{IEcy:"\u0415",IJlig:"\u0132",IOcy:"\u0401",Iacute:"\u00CD",Icirc:"\u00CE",Icy:"\u0418",Idot:"\u0130",Igrave:"\u00CC",Imacr:"\u012A",Implies:"\u21D2",Int:"\u222C",Iogon:"\u012E",Iota:"\u0399",Itilde:"\u0128",Iukcy:"\u0406",Iuml:"\u00CF",iacute:"\u00ED",ic:"\u2063",icirc:"\u00EE",icy:"\u0438",iecy:"\u0435",iexcl:"\u00A1",iff:"\u21D4",igrave:"\u00EC",ii:"\u2148",iiiint:"\u2A0C",iiint:"\u222D",iinfin:"\u29DC",iiota:"\u2129",ijlig:"\u0133",imacr:"\u012B",image:"\u2111",imagline:"\u2110",imagpart:"\u2111",imof:"\u22B7",imped:"\u01B5","in":"\u2208",incare:"\u2105",infintie:"\u29DD",inodot:"\u0131","int":"\u222B",integers:"\u2124",intercal:"\u22BA",intlarhk:"\u2A17",intprod:"\u2A3C",iocy:"\u0451",iogon:"\u012F",iprod:"\u2A3C",iquest:"\u00BF",isin:"\u2208",isinE:"\u22F9",isindot:"\u22F5",isins:"\u22F4",isinsv:"\u22F3",isinv:"\u2208",it:"\u2062",itilde:"\u0129",iukcy:"\u0456",iuml:"\u00EF"});MathJax.Ajax.loadComplete(a.entityDir+"/i.js")})(MathJax.InputJax.MathML);

19
mathjax/asset/jax/input/MathML/entities/j.js Normal file
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/*
* /MathJax/jax/input/MathML/entities/j.js
*
* Copyright (c) 2009-2018 The MathJax Consortium
*
* Licensed under the Apache License, Version 2.0 (the "License");
* you may not use this file except in compliance with the License.
* You may obtain a copy of the License at
*
* http://www.apache.org/licenses/LICENSE-2.0
*
* Unless required by applicable law or agreed to in writing, software
* distributed under the License is distributed on an "AS IS" BASIS,
* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
* See the License for the specific language governing permissions and
* limitations under the License.
*/
(function(a){MathJax.Hub.Insert(a.Parse.Entity,{Jcirc:"\u0134",Jcy:"\u0419",Jsercy:"\u0408",Jukcy:"\u0404",jcirc:"\u0135",jcy:"\u0439",jsercy:"\u0458",jukcy:"\u0454"});MathJax.Ajax.loadComplete(a.entityDir+"/j.js")})(MathJax.InputJax.MathML);

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