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-rw-r--r-- | js/codemirror/mode/stex/index.html | 96 | ||||
-rw-r--r-- | js/codemirror/mode/stex/stex.js | 167 |
2 files changed, 0 insertions, 263 deletions
diff --git a/js/codemirror/mode/stex/index.html b/js/codemirror/mode/stex/index.html deleted file mode 100644 index 7a27d11e..00000000 --- a/js/codemirror/mode/stex/index.html +++ /dev/null | |||
@@ -1,96 +0,0 @@ | |||
1 | <!doctype html> | ||
2 | <html> | ||
3 | <head> | ||
4 | <title>CodeMirror 2: sTeX mode</title> | ||
5 | <link rel="stylesheet" href="../../lib/codemirror.css"> | ||
6 | <script src="../../lib/codemirror.js"></script> | ||
7 | <script src="stex.js"></script> | ||
8 | <link rel="stylesheet" href="../../theme/default.css"> | ||
9 | <style>.CodeMirror {background: #f8f8f8;}</style> | ||
10 | <link rel="stylesheet" href="../../css/docs.css"> | ||
11 | </head> | ||
12 | <body> | ||
13 | <h1>CodeMirror 2: sTeX mode</h1> | ||
14 | <form><textarea id="code" name="code"> | ||
15 | \begin{module}[id=bbt-size] | ||
16 | \importmodule[balanced-binary-trees]{balanced-binary-trees} | ||
17 | \importmodule[\KWARCslides{dmath/en/cardinality}]{cardinality} | ||
18 | |||
19 | \begin{frame} | ||
20 | \frametitle{Size Lemma for Balanced Trees} | ||
21 | \begin{itemize} | ||
22 | \item | ||
23 | \begin{assertion}[id=size-lemma,type=lemma] | ||
24 | Let $G=\tup{V,E}$ be a \termref[cd=binary-trees]{balanced binary tree} | ||
25 | of \termref[cd=graph-depth,name=vertex-depth]{depth}$n>i$, then the set | ||
26 | $\defeq{\livar{V}i}{\setst{\inset{v}{V}}{\gdepth{v} = i}}$ of | ||
27 | \termref[cd=graphs-intro,name=node]{nodes} at | ||
28 | \termref[cd=graph-depth,name=vertex-depth]{depth} $i$ has | ||
29 | \termref[cd=cardinality,name=cardinality]{cardinality} $\power2i$. | ||
30 | \end{assertion} | ||
31 | \item | ||
32 | \begin{sproof}[id=size-lemma-pf,proofend=,for=size-lemma]{via induction over the depth $i$.} | ||
33 | \begin{spfcases}{We have to consider two cases} | ||
34 | \begin{spfcase}{$i=0$} | ||
35 | \begin{spfstep}[display=flow] | ||
36 | then $\livar{V}i=\set{\livar{v}r}$, where $\livar{v}r$ is the root, so | ||
37 | $\eq{\card{\livar{V}0},\card{\set{\livar{v}r}},1,\power20}$. | ||
38 | \end{spfstep} | ||
39 | \end{spfcase} | ||
40 | \begin{spfcase}{$i>0$} | ||
41 | \begin{spfstep}[display=flow] | ||
42 | then $\livar{V}{i-1}$ contains $\power2{i-1}$ vertexes | ||
43 | \begin{justification}[method=byIH](IH)\end{justification} | ||
44 | \end{spfstep} | ||
45 | \begin{spfstep} | ||
46 | By the \begin{justification}[method=byDef]definition of a binary | ||
47 | tree\end{justification}, each $\inset{v}{\livar{V}{i-1}}$ is a leaf or has | ||
48 | two children that are at depth $i$. | ||
49 | \end{spfstep} | ||
50 | \begin{spfstep} | ||
51 | As $G$ is \termref[cd=balanced-binary-trees,name=balanced-binary-tree]{balanced} and $\gdepth{G}=n>i$, $\livar{V}{i-1}$ cannot contain | ||
52 | leaves. | ||
53 | \end{spfstep} | ||
54 | \begin{spfstep}[type=conclusion] | ||
55 | Thus $\eq{\card{\livar{V}i},{\atimes[cdot]{2,\card{\livar{V}{i-1}}}},{\atimes[cdot]{2,\power2{i-1}}},\power2i}$. | ||
56 | \end{spfstep} | ||
57 | \end{spfcase} | ||
58 | \end{spfcases} | ||
59 | \end{sproof} | ||
60 | \item | ||
61 | \begin{assertion}[id=fbbt,type=corollary] | ||
62 | A fully balanced tree of depth $d$ has $\power2{d+1}-1$ nodes. | ||
63 | \end{assertion} | ||
64 | \item | ||
65 | \begin{sproof}[for=fbbt,id=fbbt-pf]{} | ||
66 | \begin{spfstep} | ||
67 | Let $\defeq{G}{\tup{V,E}}$ be a fully balanced tree | ||
68 | \end{spfstep} | ||
69 | \begin{spfstep} | ||
70 | Then $\card{V}=\Sumfromto{i}1d{\power2i}= \power2{d+1}-1$. | ||
71 | \end{spfstep} | ||
72 | \end{sproof} | ||
73 | \end{itemize} | ||
74 | \end{frame} | ||
75 | \begin{note} | ||
76 | \begin{omtext}[type=conclusion,for=binary-tree] | ||
77 | This shows that balanced binary trees grow in breadth very quickly, a consequence of | ||
78 | this is that they are very shallow (and this compute very fast), which is the essence of | ||
79 | the next result. | ||
80 | \end{omtext} | ||
81 | \end{note} | ||
82 | \end{module} | ||
83 | |||
84 | %%% Local Variables: | ||
85 | %%% mode: LaTeX | ||
86 | %%% TeX-master: "all" | ||
87 | %%% End: \end{document} | ||
88 | </textarea></form> | ||
89 | <script> | ||
90 | var editor = CodeMirror.fromTextArea(document.getElementById("code"), {}); | ||
91 | </script> | ||
92 | |||
93 | <p><strong>MIME types defined:</strong> <code>text/stex</code>.</p> | ||
94 | |||
95 | </body> | ||
96 | </html> | ||
diff --git a/js/codemirror/mode/stex/stex.js b/js/codemirror/mode/stex/stex.js deleted file mode 100644 index bb47fb45..00000000 --- a/js/codemirror/mode/stex/stex.js +++ /dev/null | |||
@@ -1,167 +0,0 @@ | |||
1 | /* | ||
2 | * Author: Constantin Jucovschi (c.jucovschi@jacobs-university.de) | ||
3 | * Licence: MIT | ||
4 | */ | ||
5 | |||
6 | CodeMirror.defineMode("stex", function(cmCfg, modeCfg) | ||
7 | { | ||
8 | function pushCommand(state, command) { | ||
9 | state.cmdState.push(command); | ||
10 | } | ||
11 | |||
12 | function peekCommand(state) { | ||
13 | if (state.cmdState.length>0) | ||
14 | return state.cmdState[state.cmdState.length-1]; | ||
15 | else | ||
16 | return null; | ||
17 | } | ||
18 | |||
19 | function popCommand(state) { | ||
20 | if (state.cmdState.length>0) { | ||
21 | var plug = state.cmdState.pop(); | ||
22 | plug.closeBracket(); | ||
23 | } | ||
24 | } | ||
25 | |||
26 | function applyMostPowerful(state) { | ||
27 | var context = state.cmdState; | ||
28 | for (var i = context.length - 1; i >= 0; i--) { | ||
29 | var plug = context[i]; | ||
30 | if (plug.name=="DEFAULT") | ||
31 | continue; | ||
32 | return plug.styleIdentifier(); | ||
33 | } | ||
34 | return null; | ||
35 | } | ||
36 | |||
37 | function addPluginPattern(pluginName, cmdStyle, brackets, styles) { | ||
38 | return function () { | ||
39 | this.name=pluginName; | ||
40 | this.bracketNo = 0; | ||
41 | this.style=cmdStyle; | ||
42 | this.styles = styles; | ||
43 | this.brackets = brackets; | ||
44 | |||
45 | this.styleIdentifier = function(content) { | ||
46 | if (this.bracketNo<=this.styles.length) | ||
47 | return this.styles[this.bracketNo-1]; | ||
48 | else | ||
49 | return null; | ||
50 | }; | ||
51 | this.openBracket = function(content) { | ||
52 | this.bracketNo++; | ||
53 | return "bracket"; | ||
54 | }; | ||
55 | this.closeBracket = function(content) { | ||
56 | }; | ||
57 | } | ||
58 | } | ||
59 | |||
60 | var plugins = new Array(); | ||
61 | |||
62 | plugins["importmodule"] = addPluginPattern("importmodule", "tag", "{[", ["string", "builtin"]); | ||
63 | plugins["documentclass"] = addPluginPattern("documentclass", "tag", "{[", ["", "atom"]); | ||
64 | plugins["usepackage"] = addPluginPattern("documentclass", "tag", "[", ["atom"]); | ||
65 | plugins["begin"] = addPluginPattern("documentclass", "tag", "[", ["atom"]); | ||
66 | plugins["end"] = addPluginPattern("documentclass", "tag", "[", ["atom"]); | ||
67 | |||
68 | plugins["DEFAULT"] = function () { | ||
69 | this.name="DEFAULT"; | ||
70 | this.style="tag"; | ||
71 | |||
72 | this.styleIdentifier = function(content) { | ||
73 | }; | ||
74 | this.openBracket = function(content) { | ||
75 | }; | ||
76 | this.closeBracket = function(content) { | ||
77 | }; | ||
78 | }; | ||
79 | |||
80 | function setState(state, f) { | ||
81 | state.f = f; | ||
82 | } | ||
83 | |||
84 | function normal(source, state) { | ||
85 | if (source.match(/^\\[a-z]+/)) { | ||
86 | var cmdName = source.current(); | ||
87 | cmdName = cmdName.substr(1, cmdName.length-1); | ||
88 | var plug = plugins[cmdName]; | ||
89 | if (typeof(plug) == 'undefined') { | ||
90 | plug = plugins["DEFAULT"]; | ||
91 | } | ||
92 | plug = new plug(); | ||
93 | pushCommand(state, plug); | ||
94 | setState(state, beginParams); | ||
95 | return plug.style; | ||
96 | } | ||
97 | |||
98 | var ch = source.next(); | ||
99 | if (ch == "%") { | ||
100 | setState(state, inCComment); | ||
101 | return "comment"; | ||
102 | } | ||
103 | else if (ch=='}' || ch==']') { | ||
104 | plug = peekCommand(state); | ||
105 | if (plug) { | ||
106 | plug.closeBracket(ch); | ||
107 | setState(state, beginParams); | ||
108 | } else | ||
109 | return "error"; | ||
110 | return "bracket"; | ||
111 | } else if (ch=='{' || ch=='[') { | ||
112 | plug = plugins["DEFAULT"]; | ||
113 | plug = new plug(); | ||
114 | pushCommand(state, plug); | ||
115 | return "bracket"; | ||
116 | } | ||
117 | else if (/\d/.test(ch)) { | ||
118 | source.eatWhile(/[\w.%]/); | ||
119 | return "atom"; | ||
120 | } | ||
121 | else { | ||
122 | source.eatWhile(/[\w-_]/); | ||
123 | return applyMostPowerful(state); | ||
124 | } | ||
125 | } | ||
126 | |||
127 | function inCComment(source, state) { | ||
128 | source.skipToEnd(); | ||
129 | setState(state, normal); | ||
130 | return "comment"; | ||
131 | } | ||
132 | |||
133 | function beginParams(source, state) { | ||
134 | var ch = source.peek(); | ||
135 | if (ch == '{' || ch == '[') { | ||
136 | var lastPlug = peekCommand(state); | ||
137 | var style = lastPlug.openBracket(ch); | ||
138 | source.eat(ch); | ||
139 | setState(state, normal); | ||
140 | return "bracket"; | ||