mirror of
https://github.com/Piwigo/Piwigo.git
synced 2026-07-06 09:52:29 +02:00
merge r10307 from trunk to branch 2.2
feature:2262 Replace editarea by Codemirror: http://codemirror.net git-svn-id: http://piwigo.org/svn/branches/2.2@10310 68402e56-0260-453c-a942-63ccdbb3a9ee
This commit is contained in:
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<!doctype html>
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<html>
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<head>
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<title>CodeMirror 2: sTeX mode</title>
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<link rel="stylesheet" href="../../lib/codemirror.css">
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<script src="../../lib/codemirror.js"></script>
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<script src="stex.js"></script>
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<link rel="stylesheet" href="stex.css">
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<style>.CodeMirror {background: #f8f8f8;}</style>
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<link rel="stylesheet" href="../../css/docs.css">
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</head>
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<body>
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<h1>CodeMirror 2: sTeX mode</h1>
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<form><textarea id="code" name="code">
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\begin{module}[id=bbt-size]
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\importmodule[balanced-binary-trees]{balanced-binary-trees}
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\importmodule[\KWARCslides{dmath/en/cardinality}]{cardinality}
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\begin{frame}
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\frametitle{Size Lemma for Balanced Trees}
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\begin{itemize}
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\item
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\begin{assertion}[id=size-lemma,type=lemma]
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Let $G=\tup{V,E}$ be a \termref[cd=binary-trees]{balanced binary tree}
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of \termref[cd=graph-depth,name=vertex-depth]{depth}$n>i$, then the set
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$\defeq{\livar{V}i}{\setst{\inset{v}{V}}{\gdepth{v} = i}}$ of
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\termref[cd=graphs-intro,name=node]{nodes} at
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\termref[cd=graph-depth,name=vertex-depth]{depth} $i$ has
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\termref[cd=cardinality,name=cardinality]{cardinality} $\power2i$.
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\end{assertion}
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\item
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\begin{sproof}[id=size-lemma-pf,proofend=,for=size-lemma]{via induction over the depth $i$.}
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\begin{spfcases}{We have to consider two cases}
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\begin{spfcase}{$i=0$}
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\begin{spfstep}[display=flow]
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then $\livar{V}i=\set{\livar{v}r}$, where $\livar{v}r$ is the root, so
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$\eq{\card{\livar{V}0},\card{\set{\livar{v}r}},1,\power20}$.
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\end{spfstep}
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\end{spfcase}
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\begin{spfcase}{$i>0$}
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\begin{spfstep}[display=flow]
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then $\livar{V}{i-1}$ contains $\power2{i-1}$ vertexes
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\begin{justification}[method=byIH](IH)\end{justification}
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\end{spfstep}
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\begin{spfstep}
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By the \begin{justification}[method=byDef]definition of a binary
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tree\end{justification}, each $\inset{v}{\livar{V}{i-1}}$ is a leaf or has
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two children that are at depth $i$.
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\end{spfstep}
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\begin{spfstep}
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As $G$ is \termref[cd=balanced-binary-trees,name=balanced-binary-tree]{balanced} and $\gdepth{G}=n>i$, $\livar{V}{i-1}$ cannot contain
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leaves.
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\end{spfstep}
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\begin{spfstep}[type=conclusion]
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Thus $\eq{\card{\livar{V}i},{\atimes[cdot]{2,\card{\livar{V}{i-1}}}},{\atimes[cdot]{2,\power2{i-1}}},\power2i}$.
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\end{spfstep}
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\end{spfcase}
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\end{spfcases}
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\end{sproof}
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\item
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\begin{assertion}[id=fbbt,type=corollary]
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A fully balanced tree of depth $d$ has $\power2{d+1}-1$ nodes.
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\end{assertion}
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\item
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\begin{sproof}[for=fbbt,id=fbbt-pf]{}
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\begin{spfstep}
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Let $\defeq{G}{\tup{V,E}}$ be a fully balanced tree
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\end{spfstep}
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\begin{spfstep}
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Then $\card{V}=\Sumfromto{i}1d{\power2i}= \power2{d+1}-1$.
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\end{spfstep}
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\end{sproof}
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\end{itemize}
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\end{frame}
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\begin{note}
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\begin{omtext}[type=conclusion,for=binary-tree]
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This shows that balanced binary trees grow in breadth very quickly, a consequence of
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this is that they are very shallow (and this compute very fast), which is the essence of
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the next result.
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\end{omtext}
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\end{note}
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\end{module}
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%%% Local Variables:
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%%% mode: LaTeX
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%%% TeX-master: "all"
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%%% End: \end{document}
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</textarea></form>
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<script>
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var editor = CodeMirror.fromTextArea(document.getElementById("code"), {});
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</script>
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<p><strong>MIME types defined:</strong> <code>text/stex</code>.</p>
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</body>
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</html>
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@@ -0,0 +1,20 @@
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span.css-at {color: #708;}
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span.css-unit {color: #281;}
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span.css-value {color: #708;}
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span.css-identifier {color: black;}
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span.css-selector {color: #11B;}
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span.css-important {color: #00F;}
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span.css-colorcode {color: #299;}
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span.css-comment {color: #A70;}
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span.css-string {color: #A22;}
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span.stex-unit { color: #281; }
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span.stex-identifier { color: black; }
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span.stex-slash { color: #FAA; }
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span.stex-command { color: #00F; }
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span.stex-comment { color: #A70; }
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span.stex-import { color: #00F; }
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span.stex-filepath { color: #852626; }
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span.stex-module { color: #852626; }
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span.stex-error { text-decoration: underline; color: red; }
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span.stex-string { color: #A22; }
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@@ -0,0 +1,167 @@
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/*
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* Author: Constantin Jucovschi (c.jucovschi@jacobs-university.de)
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* Licence: MIT
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*/
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CodeMirror.defineMode("stex", function(cmCfg, modeCfg)
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{
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function pushCommand(state, command) {
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state.cmdState.push(command);
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}
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function peekCommand(state) {
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if (state.cmdState.length>0)
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return state.cmdState[state.cmdState.length-1];
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else
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return null;
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}
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function popCommand(state) {
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if (state.cmdState.length>0) {
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var plug = state.cmdState.pop();
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plug.closeBracket();
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}
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}
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function applyMostPowerful(state) {
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context = state.cmdState;
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for (var i = context.length - 1; i >= 0; i--) {
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var plug = context[i];
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if (plug.name=="DEFAULT")
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continue;
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return plug.styleIdentifier();
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}
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return "stex-identifier";
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}
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function addPluginPattern(pluginName, cmdStyle, brackets, styles) {
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return function () {
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this.name=pluginName;
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this.bracketNo = 0;
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this.style=cmdStyle;
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this.styles = styles;
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this.brackets = brackets;
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this.styleIdentifier = function(content) {
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if (this.bracketNo<=this.styles.length)
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return this.styles[this.bracketNo-1];
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else
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return null;
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};
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this.openBracket = function(content) {
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this.bracketNo++;
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return "stex-bracket";
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};
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this.closeBracket = function(content) {
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};
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}
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}
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var plugins = new Array();
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plugins["importmodule"] = addPluginPattern("importmodule", "stex-command", "{[", ["stex-filepath", "stex-module"]);
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plugins["documentclass"] = addPluginPattern("documentclass", "stex-command", "{[", ["", "stex-unit"]);
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plugins["usepackage"] = addPluginPattern("documentclass", "stex-command", "[", ["stex-unit"]);
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plugins["begin"] = addPluginPattern("documentclass", "stex-command", "[", ["stex-unit"]);
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plugins["end"] = addPluginPattern("documentclass", "stex-command", "[", ["stex-unit"]);
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plugins["DEFAULT"] = function () {
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this.name="DEFAULT";
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this.style="stex-command";
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this.styleIdentifier = function(content) {
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};
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this.openBracket = function(content) {
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};
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this.closeBracket = function(content) {
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};
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};
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function setState(state, f) {
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state.f = f;
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}
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function normal(source, state) {
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if (source.match(/^\\[a-z]+/)) {
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cmdName = source.current();
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cmdName = cmdName.substr(1, cmdName.length-1);
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var plug = plugins[cmdName];
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if (typeof(plug) == 'undefined') {
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plug = plugins["DEFAULT"];
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}
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plug = new plug();
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pushCommand(state, plug);
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setState(state, beginParams);
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return plug.style;
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}
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var ch = source.next();
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if (ch == "%") {
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setState(state, inCComment);
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return "stex-comment";
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}
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else if (ch=='}' || ch==']') {
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plug = peekCommand(state);
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if (plug) {
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plug.closeBracket(ch);
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setState(state, beginParams);
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} else
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return "stex-error";
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return "stex-bracket";
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} else if (ch=='{' || ch=='[') {
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plug = plugins["DEFAULT"];
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plug = new plug();
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pushCommand(state, plug);
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return "stex-bracket";
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}
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else if (/\d/.test(ch)) {
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source.eatWhile(/[\w.%]/);
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return "stex-unit";
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}
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else {
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source.eatWhile(/[\w-_]/);
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return applyMostPowerful(state);
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}
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}
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function inCComment(source, state) {
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source.skipToEnd();
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setState(state, normal);
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return "css-comment";
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}
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function beginParams(source, state) {
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var ch = source.peek();
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if (ch == '{' || ch == '[') {
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lastPlug = peekCommand(state);
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||||
style = lastPlug.openBracket(ch);
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source.eat(ch);
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setState(state, normal);
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return "stex-bracket";
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||||
}
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if (/[ \t\r]/.test(ch)) {
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source.eat(ch);
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return null;
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}
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setState(state, normal);
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lastPlug = peekCommand(state);
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if (lastPlug) {
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popCommand(state);
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}
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return normal(source, state);
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}
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return {
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||||
startState: function() { return { f:normal, cmdState:[] }; },
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copyState: function(s) { return { f: s.f, cmdState: s.cmdState.slice(0, s.cmdState.length) }; },
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token: function(stream, state) {
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var t = state.f(stream, state);
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var w = stream.current();
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return t;
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||||
}
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||||
};
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||||
});
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CodeMirror.defineMIME("text/x-stex", "stex");
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Reference in New Issue
Block a user