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<!doctype html>
<html>
<head>
<meta charset="utf-8">
<title>CodeMirror: sTeX mode</title>
<link rel="stylesheet" href="../../lib/codemirror.css">
<script src="../../lib/codemirror.js"></script>
<script src="stex.js"></script>
<style>.CodeMirror {background: #f8f8f8;}</style>
<link rel="stylesheet" href="../../doc/docs.css">
</head>
<body>
<h1>CodeMirror: sTeX mode</h1>
<form><textarea id="code" name="code">
\begin{module}[id=bbt-size]
\importmodule[balanced-binary-trees]{balanced-binary-trees}
\importmodule[\KWARCslides{dmath/en/cardinality}]{cardinality}
\begin{frame}
\frametitle{Size Lemma for Balanced Trees}
\begin{itemize}
\item
\begin{assertion}[id=size-lemma,type=lemma]
Let $G=\tup{V,E}$ be a \termref[cd=binary-trees]{balanced binary tree}
of \termref[cd=graph-depth,name=vertex-depth]{depth}$n>i$, then the set
$\defeq{\livar{V}i}{\setst{\inset{v}{V}}{\gdepth{v} = i}}$ of
\termref[cd=graphs-intro,name=node]{nodes} at
\termref[cd=graph-depth,name=vertex-depth]{depth} $i$ has
\termref[cd=cardinality,name=cardinality]{cardinality} $\power2i$.
\end{assertion}
\item
\begin{sproof}[id=size-lemma-pf,proofend=,for=size-lemma]{via induction over the depth $i$.}
\begin{spfcases}{We have to consider two cases}
\begin{spfcase}{$i=0$}
\begin{spfstep}[display=flow]
then $\livar{V}i=\set{\livar{v}r}$, where $\livar{v}r$ is the root, so
$\eq{\card{\livar{V}0},\card{\set{\livar{v}r}},1,\power20}$.
\end{spfstep}
\end{spfcase}
\begin{spfcase}{$i>0$}
\begin{spfstep}[display=flow]
then $\livar{V}{i-1}$ contains $\power2{i-1}$ vertexes
\begin{justification}[method=byIH](IH)\end{justification}
\end{spfstep}
\begin{spfstep}
By the \begin{justification}[method=byDef]definition of a binary
tree\end{justification}, each $\inset{v}{\livar{V}{i-1}}$ is a leaf or has
two children that are at depth $i$.
\end{spfstep}
\begin{spfstep}
As $G$ is \termref[cd=balanced-binary-trees,name=balanced-binary-tree]{balanced} and $\gdepth{G}=n>i$, $\livar{V}{i-1}$ cannot contain
leaves.
\end{spfstep}
\begin{spfstep}[type=conclusion]
Thus $\eq{\card{\livar{V}i},{\atimes[cdot]{2,\card{\livar{V}{i-1}}}},{\atimes[cdot]{2,\power2{i-1}}},\power2i}$.
\end{spfstep}
\end{spfcase}
\end{spfcases}
\end{sproof}
\item
\begin{assertion}[id=fbbt,type=corollary]
A fully balanced tree of depth $d$ has $\power2{d+1}-1$ nodes.
\end{assertion}
\item
\begin{sproof}[for=fbbt,id=fbbt-pf]{}
\begin{spfstep}
Let $\defeq{G}{\tup{V,E}}$ be a fully balanced tree
\end{spfstep}
\begin{spfstep}
Then $\card{V}=\Sumfromto{i}1d{\power2i}= \power2{d+1}-1$.
\end{spfstep}
\end{sproof}
\end{itemize}
\end{frame}
\begin{note}
\begin{omtext}[type=conclusion,for=binary-tree]
This shows that balanced binary trees grow in breadth very quickly, a consequence of
this is that they are very shallow (and this compute very fast), which is the essence of
the next result.
\end{omtext}
\end{note}
\end{module}
%%% Local Variables:
%%% mode: LaTeX
%%% TeX-master: "all"
%%% End: \end{document}
</textarea></form>
<script>
var editor = CodeMirror.fromTextArea(document.getElementById("code"), {});
</script>
<p><strong>MIME types defined:</strong> <code>text/x-stex</code>.</p>
<p><strong>Parsing/Highlighting Tests:</strong> <a href="../../test/index.html#stex_*">normal</a>, <a href="../../test/index.html#verbose,stex_*">verbose</a>.</p>
</body>
</html>

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codemirror/mode/stex/stex.js vendored Normal file
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/*
* Author: Constantin Jucovschi (c.jucovschi@jacobs-university.de)
* Licence: MIT
*/
CodeMirror.defineMode("stex", function()
{
function pushCommand(state, command) {
state.cmdState.push(command);
}
function peekCommand(state) {
if (state.cmdState.length>0)
return state.cmdState[state.cmdState.length-1];
else
return null;
}
function popCommand(state) {
if (state.cmdState.length>0) {
var plug = state.cmdState.pop();
plug.closeBracket();
}
}
function applyMostPowerful(state) {
var context = state.cmdState;
for (var i = context.length - 1; i >= 0; i--) {
var plug = context[i];
if (plug.name=="DEFAULT")
continue;
return plug.styleIdentifier();
}
return null;
}
function addPluginPattern(pluginName, cmdStyle, brackets, styles) {
return function () {
this.name=pluginName;
this.bracketNo = 0;
this.style=cmdStyle;
this.styles = styles;
this.brackets = brackets;
this.styleIdentifier = function() {
if (this.bracketNo<=this.styles.length)
return this.styles[this.bracketNo-1];
else
return null;
};
this.openBracket = function() {
this.bracketNo++;
return "bracket";
};
this.closeBracket = function() {};
};
}
var plugins = new Array();
plugins["importmodule"] = addPluginPattern("importmodule", "tag", "{[", ["string", "builtin"]);
plugins["documentclass"] = addPluginPattern("documentclass", "tag", "{[", ["", "atom"]);
plugins["usepackage"] = addPluginPattern("documentclass", "tag", "[", ["atom"]);
plugins["begin"] = addPluginPattern("documentclass", "tag", "[", ["atom"]);
plugins["end"] = addPluginPattern("documentclass", "tag", "[", ["atom"]);
plugins["DEFAULT"] = function () {
this.name="DEFAULT";
this.style="tag";
this.styleIdentifier = this.openBracket = this.closeBracket = function() {};
};
function setState(state, f) {
state.f = f;
}
function normal(source, state) {
if (source.match(/^\\[a-zA-Z@]+/)) {
var cmdName = source.current();
cmdName = cmdName.substr(1, cmdName.length-1);
var plug;
if (plugins.hasOwnProperty(cmdName)) {
plug = plugins[cmdName];
} else {
plug = plugins["DEFAULT"];
}
plug = new plug();
pushCommand(state, plug);
setState(state, beginParams);
return plug.style;
}
// escape characters
if (source.match(/^\\[$&%#{}_]/)) {
return "tag";
}
// white space control characters
if (source.match(/^\\[,;!\/]/)) {
return "tag";
}
var ch = source.next();
if (ch == "%") {
// special case: % at end of its own line; stay in same state
if (!source.eol()) {
setState(state, inCComment);
}
return "comment";
}
else if (ch=='}' || ch==']') {
plug = peekCommand(state);
if (plug) {
plug.closeBracket(ch);
setState(state, beginParams);
} else
return "error";
return "bracket";
} else if (ch=='{' || ch=='[') {
plug = plugins["DEFAULT"];
plug = new plug();
pushCommand(state, plug);
return "bracket";
}
else if (/\d/.test(ch)) {
source.eatWhile(/[\w.%]/);
return "atom";
}
else {
source.eatWhile(/[\w-_]/);
return applyMostPowerful(state);
}
}
function inCComment(source, state) {
source.skipToEnd();
setState(state, normal);
return "comment";
}
function beginParams(source, state) {
var ch = source.peek();
if (ch == '{' || ch == '[') {
var lastPlug = peekCommand(state);
lastPlug.openBracket(ch);
source.eat(ch);
setState(state, normal);
return "bracket";
}
if (/[ \t\r]/.test(ch)) {
source.eat(ch);
return null;
}
setState(state, normal);
lastPlug = peekCommand(state);
if (lastPlug) {
popCommand(state);
}
return normal(source, state);
}
return {
startState: function() { return { f:normal, cmdState:[] }; },
copyState: function(s) { return { f: s.f, cmdState: s.cmdState.slice(0, s.cmdState.length) }; },
token: function(stream, state) {
var t = state.f(stream, state);
return t;
}
};
});
CodeMirror.defineMIME("text/x-stex", "stex");
CodeMirror.defineMIME("text/x-latex", "stex");

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codemirror/mode/stex/test.js vendored Normal file
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var MT = ModeTest;
MT.modeName = 'stex';
MT.modeOptions = {};
MT.testMode(
'word',
'foo',
[
null, 'foo'
]
);
MT.testMode(
'twoWords',
'foo bar',
[
null, 'foo bar'
]
);
MT.testMode(
'beginEndDocument',
'\\begin{document}\n\\end{document}',
[
'tag', '\\begin',
'bracket', '{',
'atom', 'document',
'bracket', '}',
'tag', '\\end',
'bracket', '{',
'atom', 'document',
'bracket', '}'
]
);
MT.testMode(
'beginEndEquation',
'\\begin{equation}\n E=mc^2\n\\end{equation}',
[
'tag', '\\begin',
'bracket', '{',
'atom', 'equation',
'bracket', '}',
null, ' E=mc^2',
'tag', '\\end',
'bracket', '{',
'atom', 'equation',
'bracket', '}'
]
);
MT.testMode(
'beginModule',
'\\begin{module}[]',
[
'tag', '\\begin',
'bracket', '{',
'atom', 'module',
'bracket', '}[]'
]
);
MT.testMode(
'beginModuleId',
'\\begin{module}[id=bbt-size]',
[
'tag', '\\begin',
'bracket', '{',
'atom', 'module',
'bracket', '}[',
null, 'id=bbt-size',
'bracket', ']'
]
);
MT.testMode(
'importModule',
'\\importmodule[b-b-t]{b-b-t}',
[
'tag', '\\importmodule',
'bracket', '[',
'string', 'b-b-t',
'bracket', ']{',
'builtin', 'b-b-t',
'bracket', '}'
]
);
MT.testMode(
'importModulePath',
'\\importmodule[\\KWARCslides{dmath/en/cardinality}]{card}',
[
'tag', '\\importmodule',
'bracket', '[',
'tag', '\\KWARCslides',
'bracket', '{',
'string', 'dmath/en/cardinality',
'bracket', '}]{',
'builtin', 'card',
'bracket', '}'
]
);
MT.testMode(
'psForPDF',
'\\PSforPDF[1]{#1}', // could treat #1 specially
[
'tag', '\\PSforPDF',
'bracket', '[',
'atom', '1',
'bracket', ']{',
null, '#1',
'bracket', '}'
]
);
MT.testMode(
'comment',
'% foo',
[
'comment', '% foo'
]
);
MT.testMode(
'tagComment',
'\\item% bar',
[
'tag', '\\item',
'comment', '% bar'
]
);
MT.testMode(
'commentTag',
' % \\item',
[
null, ' ',
'comment', '% \\item'
]
);
MT.testMode(
'commentLineBreak',
'%\nfoo',
[
'comment', '%',
null, 'foo'
]
);
MT.testMode(
'tagErrorCurly',
'\\begin}{',
[
'tag', '\\begin',
'error', '}',
'bracket', '{'
]
);
MT.testMode(
'tagErrorSquare',
'\\item]{',
[
'tag', '\\item',
'error', ']',
'bracket', '{'
]
);
MT.testMode(
'commentCurly',
'% }',
[
'comment', '% }'
]
);
MT.testMode(
'tagHash',
'the \\# key',
[
null, 'the ',
'tag', '\\#',
null, ' key'
]
);
MT.testMode(
'tagNumber',
'a \\$5 stetson',
[
null, 'a ',
'tag', '\\$',
'atom', 5,
null, ' stetson'
]
);
MT.testMode(
'tagPercent',
'100\\% beef',
[
'atom', '100',
'tag', '\\%',
null, ' beef'
]
);
MT.testMode(
'tagAmpersand',
'L \\& N',
[
null, 'L ',
'tag', '\\&',
null, ' N'
]
);
MT.testMode(
'tagUnderscore',
'foo\\_bar',
[
null, 'foo',
'tag', '\\_',
null, 'bar'
]
);
MT.testMode(
'tagBracketOpen',
'\\emph{\\{}',
[
'tag', '\\emph',
'bracket', '{',
'tag', '\\{',
'bracket', '}'
]
);
MT.testMode(
'tagBracketClose',
'\\emph{\\}}',
[
'tag', '\\emph',
'bracket', '{',
'tag', '\\}',
'bracket', '}'
]
);
MT.testMode(
'tagLetterNumber',
'section \\S1',
[
null, 'section ',
'tag', '\\S',
'atom', '1'
]
);
MT.testMode(
'textTagNumber',
'para \\P2',
[
null, 'para ',
'tag', '\\P',
'atom', '2'
]
);
MT.testMode(
'thinspace',
'x\\,y', // thinspace
[
null, 'x',
'tag', '\\,',
null, 'y'
]
);
MT.testMode(
'thickspace',
'x\\;y', // thickspace
[
null, 'x',
'tag', '\\;',
null, 'y'
]
);
MT.testMode(
'negativeThinspace',
'x\\!y', // negative thinspace
[
null, 'x',
'tag', '\\!',
null, 'y'
]
);
MT.testMode(
'periodNotSentence',
'J.\\ L.\\ is', // period not ending a sentence
[
null, 'J.\\ L.\\ is'
]
); // maybe could be better
MT.testMode(
'periodSentence',
'X\\@. The', // period ending a sentence
[
null, 'X',
'tag', '\\@',
null, '. The'
]
);
MT.testMode(
'italicCorrection',
'{\\em If\\/} I', // italic correction
[
'bracket', '{',
'tag', '\\em',
null, ' If',
'tag', '\\/',
'bracket', '}',
null, ' I'
]
);
MT.testMode(
'tagBracket',
'\\newcommand{\\pop}',
[
'tag', '\\newcommand',
'bracket', '{',
'tag', '\\pop',
'bracket', '}'
]
);