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Merge pull request #739 from MrPetovan/task/mathjax-add-library 

[mathjax] Rewrite addon
pull/743/head
Michael Vogel 2018-10-01 17:39:55 +00:00 committed by GitHub
parent 883a32a26f ab571e687f
commit 0407446571
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GPG Key ID: 4AEE18F83AFDEB23
611 changed files with 12409 additions and 106 deletions
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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/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.
*/
(function(c,b){var d="2.7.5";var a=MathJax.Hub.CombineConfig("MatchWebFonts",{matchFor:{"HTML-CSS":true,NativeMML:true,SVG:true},fontCheckDelay:500,fontCheckTimeout:15*1000,});MathJax.Extension.MatchWebFonts={version:d,config:a};c.Register.StartupHook("HTML-CSS Jax Ready",function(){var e=MathJax.OutputJax["HTML-CSS"];var f=e.postTranslate;e.Augment({postTranslate:function(h,g){if(!g&&a.matchFor["HTML-CSS"]&&this.config.matchFontHeight){b.timer.start(b,["checkFonts",this,h.jax[this.id]],a.fontCheckDelay,a.fontCheckTimeout)}return f.apply(this,arguments)},checkFonts:function(k,o){if(k.time(function(){})){return}var s=[],p,l,g=false;for(p=0,l=o.length;p<l;p++){script=o[p];if(script.parentNode&&script.MathJax.elementJax){script.parentNode.insertBefore(this.EmExSpan.cloneNode(true),script)}}for(p=0,l=o.length;p<l;p++){script=o[p];if(!script.parentNode){continue}g=true;var h=script.MathJax.elementJax;if(!h){continue}var r=script.previousSibling;var q=r.firstChild.offsetHeight/60;var j=r.lastChild.lastChild.offsetHeight/60;if(q===0||q==="NaN"){q=this.defaultEx;j=this.defaultEm}if(q!==h.HTMLCSS.ex||j!==h.HTMLCSS.em){var n=q/this.TeX.x_height/j;n=Math.floor(Math.max(this.config.minScaleAdjust/100,n)*this.config.scale);if(n/100!==h.scale){s.push(script);o[p]={}}}}o=o.concat(s);for(p=0,l=o.length;p<l;p++){script=o[p];if(script&&script.parentNode&&script.MathJax.elementJax){script.parentNode.removeChild(script.previousSibling)}}if(s.length){c.Queue(["Rerender",c,[s],{}])}if(g){setTimeout(k,k.delay)}}})});c.Register.StartupHook("SVG Jax Ready",function(){var f=MathJax.OutputJax.SVG;var e=f.postTranslate;f.Augment({postTranslate:function(h,g){if(!g&&a.matchFor.SVG){b.timer.start(b,["checkFonts",this,h.jax[this.id]],a.fontCheckDelay,a.fontCheckTimeout)}return e.apply(this,arguments)},checkFonts:function(j,l){if(j.time(function(){})){return}var q=[],n,k,g=false;for(n=0,k=l.length;n<k;n++){script=l[n];if(script.parentNode&&script.MathJax.elementJax){script.parentNode.insertBefore(this.ExSpan.cloneNode(true),script)}}for(n=0,k=l.length;n<k;n++){script=l[n];if(!script.parentNode){continue}g=true;var h=script.MathJax.elementJax;if(!h){continue}var p=script.previousSibling;var o=p.firstChild.offsetHeight/60;if(o===0||o==="NaN"){o=this.defaultEx}if(o!==h.SVG.ex){q.push(script);l[n]={}}}l=l.concat(q);for(n=0,k=l.length;n<k;n++){script=l[n];if(script.parentNode&&script.MathJax.elementJax){script.parentNode.removeChild(script.previousSibling)}}if(q.length){c.Queue(["Rerender",c,[q],{}])}if(g){setTimeout(j,j.delay)}}})});c.Register.StartupHook("NativeMML Jax Ready",function(){var e=MathJax.OutputJax.NativeMML;var f=e.postTranslate;e.Augment({postTranslate:function(g){if(!c.Browser.isMSIE&&a.matchFor.NativeMML){b.timer.start(b,["checkFonts",this,g.jax[this.id]],a.fontCheckDelay,a.fontCheckTimeout)}f.apply(this,arguments)},checkFonts:function(A,l){if(A.time(function(){})){return}var t=[],q=[],o=[],w,s,B;for(w=0,s=l.length;w<s;w++){B=l[w];if(B.parentNode&&B.MathJax.elementJax){B.parentNode.insertBefore(this.EmExSpan.cloneNode(true),B)}}for(w=0,s=l.length;w<s;w++){B=l[w];if(!B.parentNode){continue}var g=B.MathJax.elementJax;if(!g){continue}var v=document.getElementById(g.inputID+"-Frame");var k=v.getElementsByTagName("math")[0];if(!k){continue}g=g.NativeMML;var y=B.previousSibling;var z=y.firstChild.offsetWidth/60;var h=y.lastChild.offsetWidth/60;if(z===0||z==="NaN"){z=this.defaultEx;h=this.defaultMEx}var r=(z!==g.ex);if(r||h!=g.mex){var C=(this.config.matchFontHeight&&h>1?z/h:1);C=Math.floor(Math.max(this.config.minScaleAdjust/100,C)*this.config.scale);if(C/100!==g.scale){o.push([v.style,C])}g.scale=C/100;g.fontScale=C+"%";g.ex=z;g.mex=h}if("scrollWidth" in g&&(r||g.scrollWidth!==k.firstChild.scrollWidth)){g.scrollWidth=k.firstChild.scrollWidth;t.push([k.parentNode.style,g.scrollWidth/g.ex/g.scale])}if(k.MathJaxMtds){for(var u=0,p=k.MathJaxMtds.length;u<p;u++){if(!k.MathJaxMtds[u].parentNode){continue}if(r||k.MathJaxMtds[u].firstChild.scrollWidth!==g.mtds[u]){g.mtds[u]=k.MathJaxMtds[u].firstChild.scrollWidth;q.push([k.MathJaxMtds[u],g.mtds[u]/g.ex])}}}}for(w=0,s=l.length;w<s;w++){B=l[w];if(B.parentNode&&B.MathJax.elementJax){B.parentNode.removeChild(B.previousSibling)}}for(w=0,s=o.length;w<s;w++){o[w][0].fontSize=o[w][1]+"%"}for(w=0,s=t.length;w<s;w++){t[w][0].width=t[w][1].toFixed(3)+"ex"}for(w=0,s=q.length;w<s;w++){var x=q[w][0].getAttribute("style");x=x.replace(/(($|;)\s*min-width:).*?ex/,"$1 "+q[w][1].toFixed(3)+"ex");q[w][0].setAttribute("style",x)}setTimeout(A,A.delay)}})});c.Startup.signal.Post("MatchWebFonts Extension Ready");b.loadComplete("[MathJax]/extensions/MatchWebFonts.js")})(MathJax.Hub,MathJax.Ajax);

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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.
*/
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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.
*/
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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.
*/
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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.
*/
MathJax.Extension["TeX/mediawiki-texvc"]={version:"2.7.5"};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){MathJax.InputJax.TeX.Definitions.Add({macros:{AA:["Macro","\u00c5"],alef:["Macro","\\aleph"],alefsym:["Macro","\\aleph"],Alpha:["Macro","\\mathrm{A}"],and:["Macro","\\land"],ang:["Macro","\\angle"],Bbb:["Macro","\\mathbb"],Beta:["Macro","\\mathrm{B}"],bold:["Macro","\\mathbf"],bull:["Macro","\\bullet"],C:["Macro","\\mathbb{C}"],Chi:["Macro","\\mathrm{X}"],clubs:["Macro","\\clubsuit"],cnums:["Macro","\\mathbb{C}"],Complex:["Macro","\\mathbb{C}"],coppa:["Macro","\u03D9"],Coppa:["Macro","\u03D8"],Dagger:["Macro","\\ddagger"],Digamma:["Macro","\u03DC"],darr:["Macro","\\downarrow"],dArr:["Macro","\\Downarrow"],Darr:["Macro","\\Downarrow"],dashint:["Macro","\\unicodeInt{x2A0D}"],ddashint:["Macro","\\unicodeInt{x2A0E}"],diamonds:["Macro","\\diamondsuit"],empty:["Macro","\\emptyset"],Epsilon:["Macro","\\mathrm{E}"],Eta:["Macro","\\mathrm{H}"],euro:["Macro","\u20AC"],exist:["Macro","\\exists"],geneuro:["Macro","\u20AC"],geneuronarrow:["Macro","\u20AC"],geneurowide:["Macro","\u20AC"],H:["Macro","\\mathbb{H}"],hAar:["Macro","\\Leftrightarrow"],harr:["Macro","\\leftrightarrow"],Harr:["Macro","\\Leftrightarrow"],hearts:["Macro","\\heartsuit"],image:["Macro","\\Im"],infin:["Macro","\\infty"],Iota:["Macro","\\mathrm{I}"],isin:["Macro","\\in"],Kappa:["Macro","\\mathrm{K}"],koppa:["Macro","\u03DF"],Koppa:["Macro","\u03DE"],lang:["Macro","\\langle"],larr:["Macro","\\leftarrow"],Larr:["Macro","\\Leftarrow"],lArr:["Macro","\\Leftarrow"],lrarr:["Macro","\\leftrightarrow"],Lrarr:["Macro","\\Leftrightarrow"],lrArr:["Macro","\\Leftrightarrow"],Mu:["Macro","\\mathrm{M}"],N:["Macro","\\mathbb{N}"],natnums:["Macro","\\mathbb{N}"],Nu:["Macro","\\mathrm{N}"],O:["Macro","\\emptyset"],oint:["Macro","\\unicodeInt{x222E}"],oiint:["Macro","\\unicodeInt{x222F}"],oiiint:["Macro","\\unicodeInt{x2230}"],ointctrclockwise:["Macro","\\unicodeInt{x2233}"],officialeuro:["Macro","\u20AC"],Omicron:["Macro","\\mathrm{O}"],or:["Macro","\\lor"],P:["Macro","\u00B6"],pagecolor:["Macro","",1],part:["Macro","\\partial"],plusmn:["Macro","\\pm"],Q:["Macro","\\mathbb{Q}"],R:["Macro","\\mathbb{R}"],rang:["Macro","\\rangle"],rarr:["Macro","\\rightarrow"],Rarr:["Macro","\\Rightarrow"],rArr:["Macro","\\Rightarrow"],real:["Macro","\\Re"],reals:["Macro","\\mathbb{R}"],Reals:["Macro","\\mathbb{R}"],Rho:["Macro","\\mathrm{P}"],sdot:["Macro","\\cdot"],sampi:["Macro","\u03E1"],Sampi:["Macro","\u03E0"],sect:["Macro","\\S"],spades:["Macro","\\spadesuit"],stigma:["Macro","\u03DB"],Stigma:["Macro","\u03DA"],sub:["Macro","\\subset"],sube:["Macro","\\subseteq"],supe:["Macro","\\supseteq"],Tau:["Macro","\\mathrm{T}"],textvisiblespace:["Macro","\u2423"],thetasym:["Macro","\\vartheta"],uarr:["Macro","\\uparrow"],uArr:["Macro","\\Uparrow"],Uarr:["Macro","\\Uparrow"],unicodeInt:["Macro","\\mathop{\\vcenter{\\mathchoice{\\huge\\unicode{#1}\\,}{\\unicode{#1}}{\\unicode{#1}}{\\unicode{#1}}}\\,}\\nolimits",1],varcoppa:["Macro","\u03D9"],varstigma:["Macro","\u03DB"],varointclockwise:["Macro","\\unicodeInt{x2232}"],vline:["Macro","\\smash{\\large\\lvert}",0],weierp:["Macro","\\wp"],Z:["Macro","\\mathbb{Z}"],Zeta:["Macro","\\mathrm{Z}"]}})});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/mediawiki-texvc.js");

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/*************************************************************
*
* MathJax/extensions/TeX/mhchem.js
*
* Implements the \ce command for handling chemical formulas
* from the mhchem LaTeX package.
*
* ---------------------------------------------------------------------
*
* 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.
*/
MathJax.Extension["TeX/mhchem"]={version:"3.2.0"},MathJax.Hub.Register.StartupHook("TeX Jax Ready",
function(){var n=MathJax.InputJax.TeX,r=MathJax.Object.Subclass({string:"",Init:
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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.
*/
MathJax.Extension["TeX/newcommand"]={version:"2.7.5"};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var b=MathJax.InputJax.TeX;var a=b.Definitions;a.Add({macros:{newcommand:"NewCommand",renewcommand:"NewCommand",newenvironment:"NewEnvironment",renewenvironment:"NewEnvironment",def:"MacroDef",let:"Let"}},null,true);b.Parse.Augment({NewCommand:function(c){var e=this.trimSpaces(this.GetArgument(c)),g=this.GetBrackets(c),d=this.GetBrackets(c),f=this.GetArgument(c);if(e.charAt(0)==="\\"){e=e.substr(1)}if(!e.match(/^(.|[a-z]+)$/i)){b.Error(["IllegalControlSequenceName","Illegal control sequence name for %1",c])}if(g){g=this.trimSpaces(g);if(!g.match(/^[0-9]+$/)){b.Error(["IllegalParamNumber","Illegal number of parameters specified in %1",c])}}this.setDef(e,["Macro",f,g,d])},NewEnvironment:function(d){var f=this.trimSpaces(this.GetArgument(d)),h=this.GetBrackets(d),e=this.GetBrackets(d),g=this.GetArgument(d),c=this.GetArgument(d);if(h){h=this.trimSpaces(h);if(!h.match(/^[0-9]+$/)){b.Error(["IllegalParamNumber","Illegal number of parameters specified in %1",d])}}this.setEnv(f,["BeginEnv",[null,"EndEnv"],g,c,h,e])},MacroDef:function(c){var d=this.GetCSname(c),f=this.GetTemplate(c,"\\"+d),e=this.GetArgument(c);if(!(f instanceof Array)){this.setDef(d,["Macro",e,f])}else{this.setDef(d,["MacroWithTemplate",e].concat(f))}},Let:function(d){var e=this.GetCSname(d),f;var g=this.GetNext();if(g==="="){this.i++;g=this.GetNext()}if(g==="\\"){d=this.GetCSname(d);f=this.csFindMacro(d);if(!f){if(a.mathchar0mi.hasOwnProperty(d)){f=["csMathchar0mi",a.mathchar0mi[d]]}else{if(a.mathchar0mo.hasOwnProperty(d)){f=["csMathchar0mo",a.mathchar0mo[d]]}else{if(a.mathchar7.hasOwnProperty(d)){f=["csMathchar7",a.mathchar7[d]]}else{if(a.delimiter.hasOwnProperty("\\"+d)){f=["csDelimiter",a.delimiter["\\"+d]]}else{return}}}}}}else{f=["Macro",g];this.i++}this.setDef(e,f)},GetCSname:function(e){var f=this.GetNext();if(f!=="\\"){b.Error(["MissingCS","%1 must be followed by a control sequence",e])}var d=this.trimSpaces(this.GetArgument(e));return d.substr(1)},GetTemplate:function(f,e){var j,g=[],h=0;j=this.GetNext();var d=this.i;while(this.i<this.string.length){j=this.GetNext();if(j==="#"){if(d!==this.i){g[h]=this.string.substr(d,this.i-d)}j=this.string.charAt(++this.i);if(!j.match(/^[1-9]$/)){b.Error(["CantUseHash2","Illegal use of # in template for %1",e])}if(parseInt(j)!=++h){b.Error(["SequentialParam","Parameters for %1 must be numbered sequentially",e])}d=this.i+1}else{if(j==="{"){if(d!==this.i){g[h]=this.string.substr(d,this.i-d)}if(g.length>0){return[h,g]}else{return h}}}this.i++}b.Error(["MissingReplacementString","Missing replacement string for definition of %1",f])},MacroWithTemplate:function(d,g,h,f){if(h){var c=[];this.GetNext();if(f[0]&&!this.MatchParam(f[0])){b.Error(["MismatchUseDef","Use of %1 doesn't match its definition",d])}for(var e=0;e<h;e++){c.push(this.GetParameter(d,f[e+1]))}g=this.SubstituteArgs(c,g)}this.string=this.AddArgs(g,this.string.slice(this.i));this.i=0;if(++this.macroCount>b.config.MAXMACROS){b.Error(["MaxMacroSub1","MathJax maximum macro substitution count exceeded; is there a recursive macro call?"])}},BeginEnv:function(g,k,c,j,h){if(j){var e=[];if(h!=null){var d=this.GetBrackets("\\begin{"+name+"}");e.push(d==null?h:d)}for(var f=e.length;f<j;f++){e.push(this.GetArgument("\\begin{"+name+"}"))}k=this.SubstituteArgs(e,k);c=this.SubstituteArgs([],c)}this.string=this.AddArgs(k,this.string.slice(this.i));this.i=0;return g},EndEnv:function(e,g,d,f){var c="\\end{\\end\\"+e.name+"}";this.string=this.AddArgs(d,c+this.string.slice(this.i));this.i=0;return null},GetParameter:function(f,k){if(k==null){return this.GetArgument(f)}var h=this.i,e=0,g=0;while(this.i<this.string.length){var l=this.string.charAt(this.i);if(l==="{"){if(this.i===h){g=1}this.GetArgument(f);e=this.i-h}else{if(this.MatchParam(k)){if(g){h++;e-=2}return this.string.substr(h,e)}else{if(l==="\\"){this.i++;e++;g=0;var d=this.string.substr(this.i).match(/[a-z]+|./i);if(d){this.i+=d[0].length;e=this.i-h}}else{this.i++;e++;g=0}}}}b.Error(["RunawayArgument","Runaway argument for %1?",f])},MatchParam:function(c){if(this.string.substr(this.i,c.length)!==c){return 0}if(c.match(/\\[a-z]+$/i)&&this.string.charAt(this.i+c.length).match(/[a-z]/i)){return 0}this.i+=c.length;return 1}});b.Environment=function(c){a.environment[c]=["BeginEnv",[null,"EndEnv"]].concat([].slice.call(arguments,1));a.environment[c].isUser=true};MathJax.Hub.Startup.signal.Post("TeX newcommand Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/newcommand.js");

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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
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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]",
"self::appl",'children/*[1][@role="prefix function"]');(0,sre.MathspeakRules.defineRule_)("fences-open-close","mathspeak.default","[n] content/*[1]; [n] children/*[1]; [n] content/*[2]","self::fenced",'@role="leftright"');(0,sre.MathspeakRules.defineRule_)("fences-neutral","mathspeak.default",'[t] "StartAbsoluteValue"; [n] children/*[1]; [t] "EndAbsoluteValue"',"self::fenced",'@role="neutral"','content/*[1][text()]="|" or content/*[1][text()]="\u2758" or content/*[1][text()]="\uff5c"');(0,sre.MathspeakRules.defineSpecialisedRule_)("fences-neutral",
"mathspeak.default","mathspeak.sbrief",'[t] "AbsoluteValue"; [n] children/*[1]; [t] "EndAbsoluteValue"');(0,sre.MathspeakRules.defineRule_)("fences-neutral","mathspeak.default","[n] content/*[1]; [n] children/*[1]; [n] content/*[2]","self::fenced",'@role="neutral"');(0,sre.MathspeakRules.defineRule_)("fences-set","mathspeak.default",'[t] "StartSet"; [n] children/*[1]; [t] "EndSet"',"self::fenced",'@role="leftright"','content/*[1][text()]="{"','content/*[2][text()]="}"',"count(children/*)=1",'not(name(../..)="appl")');
(0,sre.MathspeakRules.defineSpecialisedRule_)("fences-set","mathspeak.default","mathspeak.sbrief",'[t] "Set"; [n] children/*[1]; [t] "EndSet"');(0,sre.MathspeakRules.defineRule_)("text","mathspeak.default","[n] text()","self::text");(0,sre.MathspeakRules.defineRule_)("factorial","mathspeak.default",'[t] "factorial"',"self::punctuation",'text()="!"','name(preceding-sibling::*[1])!="text"');(0,sre.MathspeakRules.defineRule_)("minus","mathspeak.default",'[t] "minus"',"self::operator",'text()="-"');(0,sre.MathspeakRules.defineRule_)("single-prime",
"mathspeak.default",'[t] "prime"',"self::punctuated",'@role="prime"',"count(children/*)=1");(0,sre.MathspeakRules.defineRule_)("double-prime","mathspeak.default",'[t] "double-prime"',"self::punctuated",'@role="prime"',"count(children/*)=2");(0,sre.MathspeakRules.defineRule_)("triple-prime","mathspeak.default",'[t] "triple-prime"',"self::punctuated",'@role="prime"',"count(children/*)=3");(0,sre.MathspeakRules.defineRule_)("quadruple-prime","mathspeak.default",'[t] "quadruple-prime"',"self::punctuated",
'@role="prime"',"count(children/*)=4");(0,sre.MathspeakRules.defineRule_)("counted-prime","mathspeak.default",'[t] count(children/*); [t] "prime"',"self::punctuated",'@role="prime"');(0,sre.MathspeakRules.defineRule_)("fraction","mathspeak.default","[t] CSFopenFracVerbose; [n] children/*[1]; [t] CSFoverFracVerbose; [n] children/*[2]; [t] CSFcloseFracVerbose","self::fraction");(0,sre.MathspeakRules.defineRule_)("fraction","mathspeak.brief","[t] CSFopenFracBrief; [n] children/*[1]; [t] CSFoverFracVerbose; [n] children/*[2]; [t] CSFcloseFracBrief",
"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]');
(0,sre.MathspeakRules.defineSpecialisedRule_)("continued-fraction-inner","mathspeak.brief","mathspeak.sbrief",'[t] "Frac"; [n] children/*[1];[t] "Over"; [n] children/*[2]');(0,sre.MathspeakRules.defineRule_)("sqrt","mathspeak.default","[t] CSFopenRadicalVerbose; [n] children/*[1]; [t] CSFcloseRadicalVerbose","self::sqrt");(0,sre.MathspeakRules.defineRule_)("sqrt","mathspeak.brief","[t] CSFopenRadicalBrief; [n] children/*[1]; [t] CSFcloseRadicalBrief","self::sqrt");(0,sre.MathspeakRules.defineRule_)("sqrt",
"mathspeak.sbrief","[t] CSFopenRadicalSbrief; [n] children/*[1]; [t] CSFcloseRadicalBrief","self::sqrt");(0,sre.MathspeakRules.defineRule_)("root","mathspeak.default","[t] CSFindexRadicalVerbose; [n] children/*[1];[t] CSFopenRadicalVerbose; [n] children/*[2]; [t] CSFcloseRadicalVerbose","self::root");(0,sre.MathspeakRules.defineRule_)("root","mathspeak.brief","[t] CSFindexRadicalBrief; [n] children/*[1];[t] CSFopenRadicalBrief; [n] children/*[2]; [t] CSFcloseRadicalBrief","self::root");(0,sre.MathspeakRules.defineRule_)("root",
"mathspeak.sbrief","[t] CSFindexRadicalSbrief; [n] children/*[1];[t] CSFopenRadicalSbrief; [n] children/*[2]; [t] CSFcloseRadicalBrief","self::root");(0,sre.MathspeakRules.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.MathspeakRules.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.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",
"self::underscore",'@role="limit function"','name(../..)="underscore" or name(../..)="overscore"','following-sibling::*[@role!="underaccent" and @role!="overaccent"]');(0,sre.MathspeakRules.defineRuleAlias_)("limlower","self::underscore",'children/*[2][@role!="underaccent"]','name(../..)="underscore" or name(../..)="overscore"','following-sibling::*[@role!="underaccent" and @role!="overaccent"]');(0,sre.MathspeakRules.defineRuleAlias_)("limupper","self::overscore",'children/*[2][@role!="overaccent"]',
'name(../..)="underscore" or name(../..)="overscore"','following-sibling::*[@role!="underaccent" and @role!="overaccent"]');(0,sre.MathspeakRules.defineRule_)("limboth-end","mathspeak.default",'[n] children/*[1]; [t] CSFunderscript; [n] children/*[2];[t] CSFoverscript; [n] children/*[3]; [t] "Endscripts"',"self::limboth");(0,sre.MathspeakRules.defineRule_)("limlower-end","mathspeak.default",'[n] children/*[1]; [t] CSFunderscript; [n] children/*[2]; [t] "Endscripts"',"self::limlower");(0,sre.MathspeakRules.defineRule_)("limupper-end",
"mathspeak.default",'[n] children/*[1]; [t] CSFoverscript; [n] children/*[2]; [t] "Endscripts"',"self::limupper");(0,sre.MathspeakRules.defineRuleAlias_)("limlower-end","self::underscore",'@role="limit function"');(0,sre.MathspeakRules.defineRuleAlias_)("limlower-end","self::underscore");(0,sre.MathspeakRules.defineRuleAlias_)("limupper-end","self::overscore");(0,sre.MathspeakRules.defineRule_)("integral","mathspeak.default","[n] children/*[1]; [n] children/*[2]; [n] children/*[3];","self::integral");
(0,sre.MathspeakRules.defineRule_)("integral","mathspeak.default",'[n] children/*[1]; [t] "Subscript"; [n] children/*[2];[t] "Superscript"; [n] children/*[3]; [t] "Baseline";',"self::limboth",'@role="integral"');(0,sre.MathspeakRules.defineSpecialisedRule_)("integral","mathspeak.default","mathspeak.brief",'[n] children/*[1]; [t] "Sub"; [n] children/*[2];[t] "Sup"; [n] children/*[3]; [t] "Base";');(0,sre.MathspeakRules.defineSpecialisedRule_)("integral","mathspeak.brief","mathspeak.sbrief");(0,sre.MathspeakRules.defineRule_)("bigop",
"mathspeak.default","[n] children/*[1]; [n] children/*[2];","self::bigop");(0,sre.MathspeakRules.defineRule_)("relseq","mathspeak.default","[m] children/* (sepFunc:CTXFcontentIterator)","self::relseq");(0,sre.MathspeakRules.defineRule_)("equality","mathspeak.default","[n] children/*[1]; [n] content/*[1]; [n] children/*[2]","self::relseq",'@role="equality"',"count(./children/*)=2");(0,sre.MathspeakRules.defineRule_)("multi-equality","mathspeak.default","[m] children/* (sepFunc:CTXFcontentIterator)",
"self::relseq",'@role="equality"',"count(./children/*)>2");(0,sre.MathspeakRules.defineRule_)("multrel","mathspeak.default","[m] children/* (sepFunc:CTXFcontentIterator)","self::multirel");(0,sre.MathspeakRules.defineRule_)("subscript","mathspeak.default","[n] children/*[1]; [t] CSFsubscriptVerbose; [n] children/*[2]","self::subscript");(0,sre.MathspeakRules.defineRule_)("subscript","mathspeak.brief","[n] children/*[1]; [t] CSFsubscriptBrief; [n] children/*[2]","self::subscript");(0,sre.MathspeakRules.defineSpecialisedRule_)("subscript",
"mathspeak.brief","mathspeak.sbrief");(0,sre.MathspeakRules.defineRule_)("subscript-simple","mathspeak.default","[n] children/*[1]; [n] children/*[2]","self::subscript",'name(./children/*[1])="identifier"','name(./children/*[2])="number"','./children/*[2][@role!="mixed"]','./children/*[2][@role!="othernumber"]');(0,sre.MathspeakRules.defineSpecialisedRule_)("subscript-simple","mathspeak.default","mathspeak.brief");(0,sre.MathspeakRules.defineSpecialisedRule_)("subscript-simple","mathspeak.default",
"mathspeak.sbrief");(0,sre.MathspeakRules.defineRule_)("subscript-baseline","mathspeak.default","[n] children/*[1]; [t] CSFsubscriptVerbose; [n] children/*[2]; [t] CSFbaselineVerbose","self::subscript","following-sibling::*",'not(name(following-sibling::subscript/children/*[1])="empty" or (name(following-sibling::infixop[@role="implicit"]/children/*[1])="subscript" and name(following-sibling::*/children/*[1]/children/*[1])="empty")) and @role!="subsup"','not(following-sibling::*[@role="rightsuper" or @role="rightsub" or @role="leftsub" or @role="leftsub"])');
(0,sre.MathspeakRules.defineSpecialisedRule_)("subscript-baseline","mathspeak.default","mathspeak.brief","[n] children/*[1]; [t] CSFsubscriptBrief; [n] children/*[2]; [t] CSFbaselineBrief");(0,sre.MathspeakRules.defineSpecialisedRule_)("subscript-baseline","mathspeak.brief","mathspeak.sbrief");(0,sre.MathspeakRules.defineRuleAlias_)("subscript-baseline","self::subscript","not(following-sibling::*)","ancestor::fenced|ancestor::root|ancestor::sqrt|ancestor::punctuated|ancestor::fraction",'not(ancestor::punctuated[@role="leftsuper" or @role="rightsub" or @role="rightsuper" or @role="rightsub"])');
(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"',
'name(children/*[2]/children/*[1]/children/*[1])="empty"');(0,sre.MathspeakRules.defineSpecialisedRule_)("subscript-empty-sup","mathspeak.default","mathspeak.brief");(0,sre.MathspeakRules.defineSpecialisedRule_)("subscript-empty-sup","mathspeak.brief","mathspeak.sbrief");(0,sre.MathspeakRules.defineRuleAlias_)("subscript-empty-sup","self::subscript",'name(children/*[2])="superscript"','name(children/*[2]/children/*[1])="empty"');(0,sre.MathspeakRules.defineRule_)("superscript","mathspeak.default",
"[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");
(0,sre.MathspeakRules.defineRuleAlias_)("superscript-baseline","self::superscript","not(following-sibling::*)","ancestor::relseq|ancestor::multirel","not(@embellished)",sre.MathspeakUtil.generateBaselineConstraint());(0,sre.MathspeakRules.defineRuleAlias_)("superscript-baseline","self::superscript","not(following-sibling::*)","@embellished",'not(children/*[2][@role="prime"])');(0,sre.MathspeakRules.defineRule_)("superscript-empty-sub","mathspeak.default","[n] children/*[1]; [n] children/*[2]","self::superscript",
'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",
"mathspeak.default","[n] children/*[1]; [n] children/*[2]","self::superscript","children/*[2]",'children/*[2][@role="prime"]');(0,sre.MathspeakRules.defineSpecialisedRule_)("prime","mathspeak.default","mathspeak.brief");(0,sre.MathspeakRules.defineSpecialisedRule_)("prime","mathspeak.default","mathspeak.sbrief");(0,sre.MathspeakRules.defineRule_)("prime-subscript","mathspeak.default","[n] children/*[1]/children/*[1]; [n] children/*[2]; [t] CSFsubscriptVerbose; [n] children/*[1]/children/*[2]","self::superscript",
'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",
"self::superscript",'children/*[2][@role="prime"]','name(children/*[1])="subscript"',"not(following-sibling::*)","@embellished");(0,sre.MathspeakRules.defineRule_)("prime-subscript-simple","mathspeak.default","[n] children/*[1]/children/*[1]; [n] children/*[2];[n] children/*[1]/children/*[2]","self::superscript",'children/*[2][@role="prime"]','name(children/*[1])="subscript"','name(children/*[1]/children/*[1])="identifier"','name(children/*[1]/children/*[2])="number"','children/*[1]/children/*[2][@role!="mixed"]',
'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)",
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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();
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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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[{"locale":"en"},{"category":"Ll","key":"1D26","mappings":{"default":{"default":"greek letter small capital gamma","alternative":"greek letter gamma","short":"small cap gamma"},"mathspeak":{"default":"small upper Gamma"}}},{"category":"Ll","key":"1D27","mappings":{"default":{"default":"greek letter small capital lamda","alternative":"greek letter lamda","short":"small cap lamda"},"mathspeak":{"default":"small upper Lamda"}}},{"category":"Ll","key":"1D28","mappings":{"default":{"default":"greek letter small capital pi","alternative":"greek letter pi","short":"small cap pi"},"mathspeak":{"default":"small upper Pi"}}},{"category":"Ll","key":"1D29","mappings":{"default":{"default":"greek letter small capital rho","alternative":"greek letter rho","short":"small cap rho"},"mathspeak":{"default":"small upper Rho"}}},{"category":"Ll","key":"1D2A","mappings":{"default":{"default":"greek letter small capital psi","alternative":"greek letter psi","short":"small cap psi"},"mathspeak":{"default":"small upper Psi"}}},{"category":"Lm","key":"1D5E","mappings":{"default":{"default":"modifier letter small greek gamma","alternative":"greek letter superscript gamma","short":"superscript gamma"}}},{"category":"Lm","key":"1D60","mappings":{"default":{"default":"modifier letter small greek phi","alternative":"greek letter superscript phi","short":"superscript phi"}}},{"category":"Lm","key":"1D66","mappings":{"default":{"default":"greek subscript small letter beta","short":"subscript beta"}}},{"category":"Lm","key":"1D67","mappings":{"default":{"default":"greek subscript small letter gamma","alternative":"greek letter gamma","short":"subscript gamma"}}},{"category":"Lm","key":"1D68","mappings":{"default":{"default":"greek subscript small letter rho","alternative":"greek letter rho","short":"subscript rho"}}},{"category":"Lm","key":"1D69","mappings":{"default":{"default":"greek subscript small letter phi","alternative":"greek letter phi","short":"subscript phi"}}},{"category":"Lm","key":"1D6A","mappings":{"default":{"default":"greek subscript small letter chi","alternative":"greek letter chi","short":"subscript chi"}}}]

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[{"locale":"en"},{"category":"Ll","key":"03B1","mappings":{"default":{"default":"greek small letter alpha","short":"alpha"}}},{"category":"Ll","key":"03B2","mappings":{"default":{"default":"greek small letter beta","short":"beta"}}},{"category":"Ll","key":"03B3","mappings":{"default":{"default":"greek small letter gamma","short":"gamma"}}},{"category":"Ll","key":"03B4","mappings":{"default":{"default":"greek small letter delta","short":"delta"}}},{"category":"Ll","key":"03B5","mappings":{"default":{"default":"greek small letter epsilon","short":"epsilon"}}},{"category":"Ll","key":"03B6","mappings":{"default":{"default":"greek small letter zeta","short":"zeta"}}},{"category":"Ll","key":"03B7","mappings":{"default":{"default":"greek small letter eta","short":"eta"}}},{"category":"Ll","key":"03B8","mappings":{"default":{"default":"greek small letter theta","short":"theta"}}},{"category":"Ll","key":"03B9","mappings":{"default":{"default":"greek small letter iota","short":"iota"}}},{"category":"Ll","key":"03BA","mappings":{"default":{"default":"greek small letter kappa","short":"kappa"}}},{"category":"Ll","key":"03BB","mappings":{"default":{"default":"greek small letter lamda","alternative":"greek small letter lambda","short":"lamda"}}},{"category":"Ll","key":"03BC","mappings":{"default":{"default":"greek small letter mu","short":"mu"}}},{"category":"Ll","key":"03BD","mappings":{"default":{"default":"greek small letter nu","short":"nu"}}},{"category":"Ll","key":"03BE","mappings":{"default":{"default":"greek small letter xi","short":"xi"}}},{"category":"Ll","key":"03BF","mappings":{"default":{"default":"greek small letter omicron","short":"omicron"}}},{"category":"Ll","key":"03C0","mappings":{"default":{"default":"greek small letter pi","short":"pi"}}},{"category":"Ll","key":"03C1","mappings":{"default":{"default":"greek small letter rho","short":"rho"}}},{"category":"Ll","key":"03C2","mappings":{"default":{"default":"greek small letter final sigma","short":"final sigma"}}},{"category":"Ll","key":"03C3","mappings":{"default":{"default":"greek small letter sigma","short":"sigma"}}},{"category":"Ll","key":"03C4","mappings":{"default":{"default":"greek small letter tau","short":"tau"}}},{"category":"Ll","key":"03C5","mappings":{"default":{"default":"greek small letter upsilon","short":"upsilon"}}},{"category":"Ll","key":"03C6","mappings":{"default":{"default":"greek small letter phi","short":"phi"}}},{"category":"Ll","key":"03C7","mappings":{"default":{"default":"greek small letter chi","short":"chi"}}},{"category":"Ll","key":"03C8","mappings":{"default":{"default":"greek small letter psi","short":"psi"}}},{"category":"Ll","key":"03C9","mappings":{"default":{"default":"greek small letter omega","short":"omega"}}}]

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[{"locale":"en"},{"category":"Lo","mappings":{"default":{"default":"alef symbol","alternative":"first transfinite cardinal","short":"alef"}},"key":"2135"},{"category":"Lo","mappings":{"default":{"default":"bet symbol","alternative":"second transfinite cardinal","short":"bet"}},"key":"2136"},{"category":"Lo","mappings":{"default":{"default":"gimel symbol","alternative":"third transfinite cardinal","short":"gimel"}},"key":"2137"},{"category":"Lo","mappings":{"default":{"default":"dalet symbol","alternative":"fourth transfinite cardinal","short":"dalet"}},"key":"2138"}]

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