526 lines
20 KiB
HTML
526 lines
20 KiB
HTML
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<html><head>
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<script type="text/javascript">
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Array.prototype._toString = Array.prototype.toString;
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Array.prototype.toString = function(){ return "[" + this._toString() + "]"; };
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Number.prototype._toString = Number.prototype.toString;
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Number.prototype.toString = function(radix){ if(!radix || radix==10){ return ""+this._toString() } if(radix==2){ return "0b"+this._toString(radix); } if(radix==8){ return "0o"+this._toString(radix); } if(radix==16){ return "0x"+this._toString(radix); } return this._toString(radix) + "#" + radix._toString(); };
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(function(){ // env is private
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parseFloat = function(str){
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var obj = null;
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function getRadixObject(whole, numberStr, base){
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obj = {number:numberStr, radix:base};
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return "";
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}
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function getBaseString(whole, base, numberStr){
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var baseNum = (base == '0b') ? 2 : (base == '0o') ? 8 : 16;
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return numberStr+"#"+baseNum;
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}
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var str = str.replace(/(0b|0o|0x)(([0-9a-zA-Z]+\.[0-9a-zA-Z]*|\.[0-9a-zA-Z]+|[0-9a-zA-Z]+))/, getBaseString);
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var radix;
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var poundRegExp = /([0-9a-zA-Z]+\.[0-9a-zA-Z]*|\.[0-9a-zA-Z]+|[0-9a-zA-Z]+)\#([0-9a-zA-Z]+)/g;
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if(poundRegExp.test(str)){
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// define obj in getRadixObject
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str.replace(poundRegExp, getRadixObject);
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radix = obj.radix;
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str = obj.number;
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}
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if(!radix){
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radix = 10;
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}
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var decimal = str.indexOf('.');
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if(decimal>=0){
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var left = str.substring(0,decimal);
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if(left == ""){
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left = "0";
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}
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var right = str.substring(decimal+1, str.length);
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if(right == ""){
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right = "0";
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}
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var num = parseInt(left, radix);
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var dec = parseInt(right, radix);
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var length = dec._toString().length;
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dec /= Math.pow(radix, right.length);
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return num+dec;
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}
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return parseInt(str, radix);
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};
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var env = {
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window: undefined, "delete": undefined, "new": undefined, // invalidate access to the globals for security so that window.blah is invalid as is delete window
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prompt: function(label, defaultValue){
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// summary
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// prompt the user for input without making IE8 mad.
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// params
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// label: the String name of the variable you are asking the user to input
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// defaultValue: primitive, the prompt will show this value initially
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label = label || '';
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defaultValue = defaultValue || '';
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try{
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return this.outerPrompt(label, defaultValue);
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}catch(e){
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return window.prompt(label, defaultValue);
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}
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},
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val: function(local, name, obj){
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// summary
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// allow the user to use locals, globals, or give input for undefined values
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// params:
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// local, a primitive object, is what value might've been passed to val as a local parameter.
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// name is the String name of the object. It is passed to see if there is an available global or to set the global.
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var objValue = obj[name];
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local = (objValue == undefined) ? (local == undefined ? window[name] : local) : objValue ;
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if(typeof local == 'undefined'){
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if(obj.graphing){
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return undefined;
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}
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local=this.prompt('Enter the value for ' + name, undefined, name);
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return local == null ? undefined : (isNaN(Number(local)) ? local : Number(local));
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}
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return local;
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},
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_makeKeywordsLiteral: function (text){
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// summary
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// surround reserved words with hex characters
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// ==, then >=. the <=, then !=, then = and surround them with \x0n first
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text = text.replace(/(!=(?!=)|==|>=|<=|=)/g, "\x02$1\x02");
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return text.replace(/\b(abstract|boolean|break|byte|case|catch|char|class|const|continue|debugger|default|do|double|else|enum|export|extends|false|final|finally|float|for|function|goto|if|implements|import|in| instanceof|int|interface|long|native|null|package|private|protected|public|return|short|static|super| switch|synchronized|this|throw|throws|transient|true|try|typeof|var|void|volatile|while|with)\b/g, "\x02$1\x02");
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},
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switchToGermanNumbers: function(text){
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// summary
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// change the format of some javascript allowed numbers to an alternate form 3.5 goes to 3,5
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var num = 0;
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var numbers = [];
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function substituteCommas(whole, junk, text){
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numbers['_'+num+'_'] = text.replace(/\,/g, ';');
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return junk+'_'+(num++)+'_';
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}
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function substituteNumbers(wholematch, stuff, junk, text, stuff2){
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return stuff+numbers[text]+stuff2;
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}
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if(typeof text != "string"){
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text = text.toString();
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}
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if(text.indexOf('\x02')<0){
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text = this._makeKeywordsLiteral(text);
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//text = text.replace(/(!=(?!=)|==|>=|<=|=)/g, "\x02$1\x02");
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}
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// same as semiColonRegExp
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var commaRegExp = /([^\x02\s]*)(\([^\(\)]+\)|\[[^\[\]]+\])/;
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while(commaRegExp.test(text)){
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text = text.replace(commaRegExp , substituteCommas);
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}
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while(/((\W)*)(\_[0-9]+\_)((\W)*)/.test(text)){
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text = text.replace(/((\W)*)(\_[0-9]+\_)((\W)*)/g, substituteNumbers);
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}
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text = text.replace(/([0-9]*)\.([0-9]+)/g, "$1"+','+"$2");
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// get rid of keyword characters (duplicate code from parse())
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return text.replace(/\x02((.|\s)*?)\x02/g, "$1");
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},
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normalizeTextLanguage: function(text){
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// summary
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// change text to use javascript list separators and decimal points instead of commas
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// params
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// text is a string like "pow(3,1; 4);"
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// for that input, this method should return "pow(3.1, 4);"
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var num = 0;
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var numbers = [];
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function substituteSemicolons(whole, junk, text){
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numbers['_'+num+'_'] = text.replace(/\;/g, ',');
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return junk+'_'+(num++)+'_';
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}
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function substituteNumbers(wholematch, stuff, junk, text, stuff2){
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return stuff+numbers[text]+stuff2;
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}
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if(text.indexOf('\x02')<0){
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text = this._makeKeywordsLiteral(text);
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}
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// change all comma-type decimals into periods
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text = text.replace(/([0-9]*)\,([0-9]+)/g, "$1"+'.'+"$2");
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//alert(text);
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var semiColonRegExp = /([^\x02\s]*)(\([^\(\)]+\)|\[[^\[\]]+\])/; // /([^\x02\s]+)(\([^\(\)]+\)|\[[^\[\]]+\])/; // /[^\x02\s]+\([^\(\)]+\)|[^\x02\s]+\[[^\[\]]+\]/; // /[^\x02]\s*\([^\(]+\)/;
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while(semiColonRegExp.test(text)){
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text = text.replace(semiColonRegExp, substituteSemicolons);
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}
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while(/((\W)*)(\_[0-9]+\_)((\W)*)/.test(text)){
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text = text.replace(/((\W)*)(\_[0-9]+\_)((\W)*)/g, substituteNumbers);
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}
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// get rid of keyword characters (duplicate code from parse())
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return text.replace(/\x02((.|\s)*?)\x02/g, "$1");
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},
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preparse: function(text){
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// summary
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// change the numbers to javascript allowed numbers if it is from a different locale
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if(!this.isJavaScriptLanguage){
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text = this.normalizeTextLanguage(text);
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}
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return text;
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},
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// parseFloat(Number(4.5).toString(3)) should return 4.5
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postparse: function(text){
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// summary
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// make the javascript numbers match the locale
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if(!this.isJavaScriptLanguage){
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text = this.switchToGermanNumbers(text);
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}
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return text;
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},
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toDecimalRegExp: function(whole, base, number){
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// summary
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// get the decimal number from a float
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function getBase(base){
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switch(base){
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case '0b':
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return 2;
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case '0o':
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return 8;
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case '0x':
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return 16;
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default:
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return 10;
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}
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}
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//return parseInt(base, getBase(base));
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return parseFloat(base+number);
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},
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parse: function(text){
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// summary
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// This parses augmented mathematical syntax and converts it to executable JavaScript.
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// params:
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// text should be a String which represents an expression, a function, a number, etc
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//
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// this array holds the substitutions that represent an expression's parentheses and functions in a simplified way.
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var numbers = [],
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// characters
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functionContentsChar = '\x03',
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// these are the regular expression needed to find and replace operators
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factorialRE = /((\w|\.)+)\s*\!/,
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unaryRightsideRE = /(^|[\+\-\/\*\!\^\u221A]+\s*)([\+\-]+)\s*((\w|\.)+)(?!.*[\+\-])/,
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unaryRE = /(^|[^a-zA-Z0-9_\.\s]+\s*)([\+\-]+|\u221A)\s*((\w|\.)+)/, // /(^|[^a-zA-Z0-9_\.]\s*)([\+\-]+|\u221A)\s*((\w|\.)+)/,
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caretRE = /((\w|\.)+)\s*([\^])\s*((\w|\.)+)/, // /((\w|\.)+)\s*([\^])\s*(-?\s*(\w|\.)+)/,
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radicalRE = /((\w|\.)+)\s*(\u221A)\s*([+-]?\s*(\w|\.)+)/, // /((\w|\.)+)\s*(\u221A)\s*([+-]?\s*(\w|\.)+)(?!.*\u221A)/,
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binaryHighRE = /((\w|\.)+)\s*([*/])\s*((\w|\.)+)/,
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binaryLowRE = /((\w|\.)+)\s*([\+\-])+\s*((\w|\.)+)/;
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// get rid of all new and delete statements
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text = exterminateNewAndDelete(text);
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// make all keywords and operators literal (like '!=' or 'return') by surrounding them with unprintable characters
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text = this._makeKeywordsLiteral(text);
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function getBaseTen(whole, numberStr, base){
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return ""+parseFloat(numberStr+"#"+parseInt(base));
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}
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text = text.replace(/(0b)([0-1]+\.[0-1]*|\.[0-1]+|[0-1]+)/g, this.toDecimalRegExp);
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text = text.replace(/(0o)([0-7]+\.[0-7]*|\.[0-7]+|[0-7]+)/g, this.toDecimalRegExp);
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text = text.replace(/(0x)([0-9a-zA-Z]+\.[0-9a-zA-Z]*|\.[0-9a-zA-Z]+|[0-9a-zA-Z]+)/g, this.toDecimalRegExp);
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text = text.replace(/([0-9a-zA-Z]+\.[0-9a-zA-Z]*|\.[0-9a-zA-Z]+|[0-9a-zA-Z]+)\#([0-9a-zA-Z]+)/g, getBaseTen);
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// parse the input to form JavaScript
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return MathParser(text);
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function MathParser(text){
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// Pi is better represented by \u03C0, but isn't computable
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text = text.replace(/\u03C0/g,"Math.PI");
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text = text.replace(/\u03F5/g,"Math.E");
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// Microsoft word will give you these '\u2013' for a subtraction sign sometimes, so I'll fix that here
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text = text.replace(/\u2013/g, "-");
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// add unreadable characters in front of functions so it is easier to manipulate
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text = text.replace(/(((\w|\.)+\s*)\()/g,putFuncChar);
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// change 10e-10 or 10e10 or 10e+10 to an constant right away
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text = scientificNotationSimplifier(text);
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// recursively track down and replace all simplified parts of the expression until everything is simple; then move the simple text into the correct JavaScript format
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text = parseRecursive(text);
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// now resubstitute the real text back into the string now that it is arranged correctly
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while (hasArrayIndexBasedOnUnderscore(text)){
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text = text.replace(/\_(\d+)\_/g, function(whole, one){return numbers[parseInt(one)]});
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}
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// get rid of the function character from the functions now
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text = text.replace(/\x01/g,"");
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// get rid of keyword characters too
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text = text.replace(/\x02((.|\s)*?)\x02/g, "$1");
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return text;
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}
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function exterminateNewAndDelete(text){
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return text.replace(/\b(delete|new|this\.*)\b/, "");
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}
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// A simple grouping has no parentheses inside the initial pair.
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function isSimpleGrouping(text){
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return (/^\([^()]*\)|\W\([^()]*\)/).test(text);
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}
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function ReplaceSimpleGrouping(text){
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return text.replace((/(^|\W)(\([^()]*\))/), replaceWithNum);
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}
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function replaceWithNum(wholeMatch, partMatch1, partMatch2){
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numbers.push(partMatch2);
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return partMatch1+"_"+(numbers.length-1)+"_";
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}
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function replaceFuncWithNum(wholeMatch){
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numbers.push(wholeMatch);
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return "_"+(numbers.length-1)+"_";
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}
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// A simple function has no parentheses within its parentheses, and has the special character \x01 leading up to the name and (...)
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function isSimpleFunction(text){
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return (/\x01((\w|\.)+\s*)\([^()]*\)/).test(text);
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}
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function ReplaceSimpleFunction(text){
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return text.replace(/\x01((\w|\.)+\s*)\([^()]*\)/, replaceFuncWithNum);
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}
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function FactorialParser(text){
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// loop this untill all ! are gone (in main)
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return text.replace(factorialRE, "\x01"+"factorial($1)");
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}
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function putFuncChar(wholematch){
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return '\x01'+wholematch;
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}
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function putInPiece(wholematch){
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return numbers[currentNum];
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}
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function caretParser(text){
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return text.replace(caretRE, replaceBinaryOp);
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}
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// the unary radical is inside the unaryOperatorParse(text) function
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function radicalOperatorParse(text){
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return text.replace(radicalRE, replaceBinaryOp);
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}
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function replaceBinaryOp(wholeMatch, operand1, nothing1, operator, operand2){
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switch(operator.charAt(0)){
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case '^':
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return "\x01"+"pow("+operand1+","+operand2+")";
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case '\u221A':
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return "\x01"+"pow("+operand2+", 1/"+operand1+")";
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case '*':
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case '/':
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return replaceFuncWithNum(wholeMatch);
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case '+':
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case '-':
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case 'e':
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return replaceFuncWithNum(simplifyPlusAnsMinus(wholeMatch));
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}
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}
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// e is treated as a binary operator
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function scientificNotationSimplifier(text){
|
||
|
|
//return text.replace(/((\w|\.)+)\s*([\e])\s*([+-]*\s*(\w|\.)+)/g, replaceBinaryOp);
|
||
|
|
return text.replace(/(([0-9]+\.?[0-9]*))(e)([+-]*([0-9]+))/g, replaceBinaryOp);
|
||
|
|
}
|
||
|
|
// this handles * and /
|
||
|
|
function binaryHighPriorityOperatorParse(text){
|
||
|
|
return text.replace(binaryHighRE, replaceBinaryOp);
|
||
|
|
}
|
||
|
|
// this handles + and - with two operands
|
||
|
|
function binaryLowPriorityOperatorParse(text){
|
||
|
|
return text.replace(binaryLowRE, replaceBinaryOp);
|
||
|
|
}
|
||
|
|
// this replaces the one operand +'s, -'s, and radicals
|
||
|
|
function replaceUnaryOp(wholeMatch, garbage, operator0, operand0){
|
||
|
|
// see what operator it is
|
||
|
|
switch(operator0.charAt(0)){
|
||
|
|
case '\u221A':
|
||
|
|
return garbage+"\x01"+"sqrt("+operand0+")";
|
||
|
|
case '+':
|
||
|
|
case '-':
|
||
|
|
return garbage+replaceFuncWithNum(simplifyPlusAnsMinus(wholeMatch.substr(garbage.length)));
|
||
|
|
}
|
||
|
|
}
|
||
|
|
// this handles one operand operators -, +, radical
|
||
|
|
function unaryOperatorParse(text){
|
||
|
|
return text.replace(unaryRE, replaceUnaryOp);
|
||
|
|
}
|
||
|
|
// this handles one operand operators on the right side of everything
|
||
|
|
function unaryOperatorRightsideParse(text){
|
||
|
|
return text.replace(unaryRightsideRE, replaceUnaryOp);
|
||
|
|
}
|
||
|
|
function parseRecursive(text){
|
||
|
|
// keep going until there is nothing left that can be simplified
|
||
|
|
while (isSimpleGrouping(text)||isSimpleFunction(text)||factorialRE.test(text)||caretRE.test(text)||radicalRE.test(text)||unaryRE.test(text)||binaryHighRE.test(text)||binaryLowRE.test(text)){
|
||
|
|
|
||
|
|
var sTextOrginal = text;
|
||
|
|
|
||
|
|
if(isSimpleFunction(text)){
|
||
|
|
var debugText = text;
|
||
|
|
|
||
|
|
text = ReplaceSimpleFunction(text);
|
||
|
|
var s = numbers[numbers.length-1],
|
||
|
|
pL = s.indexOf("("),
|
||
|
|
funcName = s.substring(s.indexOf("\x01")+1, pL),//take out the function character
|
||
|
|
content = s.substring(pL+1, s.length-1);
|
||
|
|
|
||
|
|
numbers[numbers.length-1] = funcName+"("+parseRecursive(functionContentsChar+content)+")";
|
||
|
|
continue;
|
||
|
|
}
|
||
|
|
if(isSimpleGrouping(text)){
|
||
|
|
text = ReplaceSimpleGrouping(text);
|
||
|
|
var s = numbers[numbers.length-1],
|
||
|
|
content = s.substring(1, s.length-1);
|
||
|
|
numbers[numbers.length-1] = "("+parseRecursive(content)+")";
|
||
|
|
continue;
|
||
|
|
}
|
||
|
|
|
||
|
|
// factorials must come first for 5^2! cases, it equals 25
|
||
|
|
text = FactorialParser(text);
|
||
|
|
if(text!=sTextOrginal){
|
||
|
|
continue;
|
||
|
|
}
|
||
|
|
|
||
|
|
text = caretParser(text);
|
||
|
|
if(text!=sTextOrginal){
|
||
|
|
continue;
|
||
|
|
}
|
||
|
|
|
||
|
|
text = radicalOperatorParse(text);
|
||
|
|
if(text!=sTextOrginal){
|
||
|
|
continue;
|
||
|
|
}
|
||
|
|
text = unaryOperatorRightsideParse(text);
|
||
|
|
if(text!=sTextOrginal){
|
||
|
|
// put parentheses around the unary operators so 0--2 will pass
|
||
|
|
numbers[numbers.length-1] = "("+numbers[numbers.length-1]+")";
|
||
|
|
continue;
|
||
|
|
}
|
||
|
|
text = unaryOperatorParse(text);
|
||
|
|
if(text!=sTextOrginal){
|
||
|
|
// put parentheses around the unary operators so 0--2 will pass
|
||
|
|
numbers[numbers.length-1] = "("+numbers[numbers.length-1]+")";
|
||
|
|
continue;
|
||
|
|
}
|
||
|
|
|
||
|
|
text = binaryHighPriorityOperatorParse(text);
|
||
|
|
if(text!=sTextOrginal){
|
||
|
|
continue;
|
||
|
|
}
|
||
|
|
text = binaryLowPriorityOperatorParse(text);
|
||
|
|
if(text!=sTextOrginal){
|
||
|
|
continue;
|
||
|
|
}
|
||
|
|
// it should never ever make it to this point. If it does, I'll want to know about it.
|
||
|
|
throw("Parse Error");
|
||
|
|
}
|
||
|
|
// make assignments within function calls be arranged to be (x=y, undefined)
|
||
|
|
if(text.charAt(0) == functionContentsChar){
|
||
|
|
text = text.substring(1, text.length);
|
||
|
|
if(text.indexOf('=') >= 0){
|
||
|
|
text = ReplaceFunctionContentAssignments(text);
|
||
|
|
}
|
||
|
|
}
|
||
|
|
|
||
|
|
return text;
|
||
|
|
}
|
||
|
|
function ReplaceFunctionContentAssignments(text){
|
||
|
|
return text.replace(/((\w|\.)+)\x02=\x02((\w|\.)+)/g, "("+"$1"+'\x02=\x02'+"$3"+", {_name:'"+"$1"+"', _value:"+"$3"+"})");
|
||
|
|
}
|
||
|
|
function hasArrayIndexBasedOnUnderscore(text){
|
||
|
|
return /\_\d+\_/.test(text);
|
||
|
|
}
|
||
|
|
|
||
|
|
function simplifyPlusAnsMinus(text){
|
||
|
|
function hasUnsimplifiedPlusMinus(text){
|
||
|
|
return /\-\s*\-/.test(text)||/\+\s*\+/.test(text)||/\+\s*\-/.test(text)||/\-\s*\+/.test(text);
|
||
|
|
}
|
||
|
|
while(hasUnsimplifiedPlusMinus(text)){
|
||
|
|
text = text.replace(/((\-\s*\-)|(\+\s*\+))/g, "+");
|
||
|
|
text = text.replace(/((\+\s*\-)|(\-\s*\+))/g, "-");
|
||
|
|
}
|
||
|
|
return text;
|
||
|
|
}
|
||
|
|
|
||
|
|
},
|
||
|
|
eval: function(text){
|
||
|
|
// summary
|
||
|
|
// create an anonymous function to run the code the parser generates from the user input.
|
||
|
|
// params
|
||
|
|
// text, type String, is the user input that needs to be parsed
|
||
|
|
// this try catch is necessary to ensure that any incorrect input will receive NaN (it won't cause a self destruct from a user typo)
|
||
|
|
try{
|
||
|
|
var value = this.Function(undefined, '', 'return ' + text).call(this); // make sure it is called within the correct scope.
|
||
|
|
//value = ((value instanceof Array || typeof value == "array") ? ("["+value+"]") : value.toString())
|
||
|
|
return this.postparse(value);
|
||
|
|
}catch(e){
|
||
|
|
return NaN;
|
||
|
|
}
|
||
|
|
},
|
||
|
|
normalizedFunction: function(name, args, body){
|
||
|
|
// summary
|
||
|
|
// create an anonymous function to run the code the parser generates from the user input.
|
||
|
|
// params
|
||
|
|
// name: this argument is simply a String that represents the name of the function being evaluated. It can be undefined, but in that case the function is a one time use.
|
||
|
|
// args: the function arguments (a String)
|
||
|
|
// body: the function body, also a String
|
||
|
|
var argMultiVals = '',
|
||
|
|
// make an array of parameters with what's given (if nothing is given, make an empty array)
|
||
|
|
params = args ? (args||'').split(/\W+/) : [];
|
||
|
|
|
||
|
|
argMultiVals += 'var _localObjectContainer = {};\n'+
|
||
|
|
'for(var _objCnt = 0; _objCnt < arguments.length; _objCnt++){\n'+
|
||
|
|
'if(typeof arguments[_objCnt] == "object" && "_name" in arguments[_objCnt] && "_value" in arguments[_objCnt]){\n'+
|
||
|
|
'_localObjectContainer.graphing = arguments[_objCnt]._graphing;\n'+
|
||
|
|
'_localObjectContainer[arguments[_objCnt]._name]=arguments[_objCnt]._value;\n'+
|
||
|
|
'arguments[_objCnt]=undefined;\n}\n}\n';
|
||
|
|
|
||
|
|
// make the parameters fit into the val function so it can use either globals, locals, or if all are null, prompt the user for input
|
||
|
|
for(var i=0; i < params.length; i++){
|
||
|
|
var param = params[i];
|
||
|
|
argMultiVals += param + '=val(' + param + ',"' + param + '", _localObjectContainer);\n';
|
||
|
|
argMultiVals += 'if(typeof '+param+' == "undefined"){\n'+
|
||
|
|
'return null;}\n';
|
||
|
|
}
|
||
|
|
var _f_ = window.Function.apply(this,
|
||
|
|
[
|
||
|
|
args,
|
||
|
|
'with(Math){with(this.dojox.math){with(this){\n' +
|
||
|
|
argMultiVals +
|
||
|
|
this.parse(body) +
|
||
|
|
'\n}}}'
|
||
|
|
]
|
||
|
|
);
|
||
|
|
if(name){
|
||
|
|
return this[name] = _f_;
|
||
|
|
}
|
||
|
|
return _f_;
|
||
|
|
},
|
||
|
|
Function: function(name, args, body){
|
||
|
|
// summary
|
||
|
|
// create an anonymous function to run the code the parser generates from the user input. It also normalizes the language format.
|
||
|
|
// params
|
||
|
|
// name: this argument is simply a String that represents the name of the function being evaluated. It can be undefined, but in that case the function is a one time use.
|
||
|
|
// args: the function arguments (a String)
|
||
|
|
// body: the function body, also a String
|
||
|
|
|
||
|
|
body = this.preparse(body);
|
||
|
|
return this.normalizedFunction(name, args, body);
|
||
|
|
|
||
|
|
}
|
||
|
|
};
|
||
|
|
for(var i in window){
|
||
|
|
if(!(i in env) && i != "alert" && i != "confirm"){ env[i] = undefined; } // invalidate access to the window object's attributes for security so that document.blah is invalid
|
||
|
|
}
|
||
|
|
frameElement.onload(env);
|
||
|
|
})();
|
||
|
|
</script>
|
||
|
|
</head><body>
|
||
|
|
<script type="text/javascript">
|
||
|
|
document.documentElement.removeChild(document.documentElement.firstChild); // remove HEAD to remove debugger access for extra security
|
||
|
|
</script>
|
||
|
|
</body></html>
|