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Parsing String of Named Function & Converting To Source

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Suppose I have HTML markup with a SCRIPT element as shown below:

  <script type="text/javascript">
  function multiply(a, b) {
     return a * b;
  }
  var i = multiply(2, 5);
  document.write("The value of <i>i</i> is " + i);
  </script>

All of this markup and contained script code is retrieved as a string using 
Ajax.

I have an HTML parser with support for parsing the string containing the 
script code.

In parsing the contained code (using JavaScript, of course), how would you 
convert the contained script code from string into source?

What I have found so far (using Firebug in Firefox for development) is this:

1) Isolating the string "function multiply(a, b) { return a * b; }" and then 
passing that string as an argument to eval() does not cause the definition 
of the function named "multiply," it seems.

2) I can parse the function definition in a way to create the string:

  "var multiply = new Function (\"a\", \"b\", \"{ return a * b; }\");"

and then use eval() on it (without error).  And then when I eval() the 
global level code in a debugger (Firebug in FireFox), as so

   eval("var i = multiply(2, 5); document.write(\"The value " +
     "of <i>i</i> is \" + i);");  // parsed code as string on one line


the value of identifier 'i' is immediately set to 10 in the debugger, but 
the debugger exits with error 'multiply is not defined', which indicates 
multiple levels of execution contexts, I suppose.  In fact, if I just do an 
eval() on the "multiply" assignment of the Function constructor, the 
identifier 'multiply' is still not defined.

QUESTION:  What's the solution to the goal I want to achieve?

[don't worry about the 'document.write()' call for the moment: that string 
pattern gets replaced eventually with a function that injects DOM nodes into 
the tree in the same way document.write() would on document loading]


For those who are curious as to why I would want to do this, there is a 
basis for this.  See BACKGROUND below.



BACKGROUND

I have a modular interactive chemistry calculator running entirely on the 
client side.

The "modularity" is such that a main HTML document provides a base interface 
and I extend functionality by reading in one JS file which specifies a 
document in HTML markup--the markup is valid, but not the document--which is 
read in using Ajax.  The JS file also contains all the code for doing the 
chemistry calculations specific for that module.

The string representing the markup obtained by Ajax retrieval is then passed 
to a parsing function which is supposed to do it all:  parses the HTML 
markup using DOM methods to insert the DocumentFragment into the main 
document tree.  It also parses CSS (stylesheets and style attributes), as 
well as any Javascript contained inside SCRIPT elements.  Everything becomes 
part of the interactive document by using DOM method calls, HTML --> element  
nodes with attributes; CSS --> as stylesheets in LINK element nodes for 
external stylesheets, as style property changes to DOM element nodes where 
style attributes are identified;  JavaScript --> converting strings into 
executable source, parsing named functions from global level source (which 
might be wrapped in anonymous functions and called).

So far there has been no problem with the HTML and CSS.  It's the Javascript 
that remains a barrier now.

Security considerations:  all the module HTML documents and JS files are 
delivered from the same server, the one from which the main document was 
loaded.  Inherent Javascript security features against accessing the file 
system without user permissions are always in play.

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Parsing String of Named Function & Converting To Source Seni Seven <OneWhoLovesYou@humanitarian.ca.invalid> - 2011-10-18 13:48 +0000
  Re: Parsing String of Named Function & Converting To Source Andreas Bergmaier <andber93@web.de> - 2011-10-18 16:03 +0200
    Re: Parsing String of Named Function & Converting To Source Thomas 'PointedEars' Lahn <PointedEars@web.de> - 2011-10-18 19:29 +0200
  Re: Parsing String of Named Function & Converting To Source Lasse Reichstein Nielsen <lrn.unread@gmail.com> - 2011-10-18 18:34 +0200
    Re: Parsing String of Named Function & Converting To Source Seni Seven <OneWhoLovesYou@humanitarian.ca.invalid> - 2011-10-19 08:01 +0000
    Re: Parsing String of Named Function & Converting To Source Dr J R Stockton <reply1142@merlyn.demon.co.uk> - 2011-10-19 20:09 +0100

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