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latex-generator.html
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latex-generator.html
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<!DOCTYPE html>
<html>
<head>
<meta charset="utf-8">
<meta name="viewport" content="width=device-width, initial-scale=1, maximum-scale=1">
<title>LaTeX生成器</title>
<style>
textarea{
width: 100%;
}
</style>
</head>
<body>
<h1><em>LaTeX</em> 生成</h1>
语法：<br>
<textarea id='GrammarInput' cols='50' rows='5' style='margin-top:5px'>
0.80 start additive_expression
0.15 additive_expression = additive_expression
0.05 additive_expression =
0.70 additive_expression multiplicative_expression
0.01 + multiplicative_expression
0.04 - multiplicative_expression
0.15 additive_expression + multiplicative_expression
0.10 additive_expression - multiplicative_expression
0.70 multiplicative_expression function_expression
0.10 multiplicative_expression function_expression
0.08 multiplicative_expression \times function_expression
0.08 multiplicative_expression \div function_expression
0.03 multiplicative_expression / function_expression
0.01 multiplicative_expression : function_expression
0.90 function_expression postfix_expression
0.10 function function_expression
0.95 postfix_expression primitive_expression
0.03 postfix_expression \%
0.02 postfix_expression !
0.70 primitive_expression constant
0.08 ( additive_expression )
0.02 | additive_expression |
0.05 primitive_expression ^ group
0.10 \frac group group
0.06 \sqrt group
0.04 \sqrt [ integer ] group
0.14 constant ?
0.05 \pi
0.05 e
0.01 \phi
0.60 integer
0.15 integer . integer
0.75 integer digit
0.25 integer digit
1.00 group { additive_expression }
0.10 digit 0
0.10 1
0.10 2
0.10 3
0.10 4
0.10 5
0.10 6
0.10 7
0.10 8
0.10 9
0.60 function arc_or_not trigonometry_function
0.06 ar_or_not trigonometry_function h
0.18 l o g base
0.16 l n
0.50 base
0.50 _ group
0.86 arc_or_not
0.05 a r c
0.09 a
0.86 ar_or_not
0.05 a r c
0.09 a
0.44 trigonometry_function s i n
0.41 c o s
0.12 t a n
0.03 c o t</textarea><br>
最大长度<input id='LengthInput' type="number" min="1" step="1" value="48"><br>
生成的公式数<input id='CountInput' type="number" min="1" step="1" value="2000"><br>
<button id="Generate">生成</button><br>
<textarea id='Output' rows='10'>
</textarea>
<script>
var grammarInput=document.getElementById('GrammarInput');
var lengthInput=document.getElementById('LengthInput');
var countInput=document.getElementById('CountInput');
var output=document.getElementById('Output');
document.getElementById('Generate').onclick=function(){
var parseGrammar=function(grammarText){
grammar={}
var lines=grammarText.split(/[\r\n]+/);
var target=null;
for(var i in lines){
var line=lines[i];
var pair=line.split(' ');
if(pair.length>=2){
if(pair[1].length>0){
target=pair[1];
grammar[target]=[];
}
var children=[];
for(var j=2;j<pair.length;j++){
children.push(pair[j]);
}
var frequency=parseFloat(pair[0]);
grammar[target].push({'frequency':frequency,'children':children});
}
}
for(key in grammar){
var choices=grammar[key];
var sumFrequency=0.0;
for(var i in choices){
sumFrequency+=choices[i].frequency;
}
for(var i in choices){
choice=choices[i];
choice.frequency/=sumFrequency;
}
}
return grammar;
};
var grammar=parseGrammar(grammarInput.value);
var len=parseInt(lengthInput.value);
var count=parseInt(countInput.value);
var collectTokens=function(startSymbol,tokens){
if(tokens.length>len){
return;
}
if(startSymbol in grammar){
var choices=grammar[startSymbol];
var selection=Math.random();
var tmp=0;
var chosen=choices[choices.length-1];
for(var i in choices){
var choice=choices[i];
tmp+=choice.frequency;
if(selection<tmp){
chosen=choice;
break;
}
}
var children=chosen.children
for(var i in children){
if(children[i]==undefined){
console.log(children.join('@'));
}
collectTokens(children[i],tokens);
}
}else{
tokens.push(startSymbol);
}
};
var formulae=[];
while(formulae.length<count){
var tokens=[];
collectTokens('start',tokens);
if(tokens.length>1&&tokens.length<=len){
formulae.push(tokens.join(' '));
}
}
output.value=formulae.join('\n');
};
</script>
</body>
</html>