I was trying to find all the Mathematica functions listed in the index of the Elementary Introduction to the Wolfram Language.

I just cut and pasted everything to a text file and then strung together the ugliest nested Select statement I could based on predicates I found by searching:

f = Import["/Users/joe/Documents/z school/mma elementary index.txt"];
firstLetterCapital[x_] := First[ToCharacterCode[x]] < 91
fStringSplitAtSpace = StringSplit[f];
fWordsOnly = Select[
    Select[fStringSplitAtSpace, DictionaryWordQ], 
  , firstLetterCapital]

I'm not winning any prizes for the above but it kinda-mostly works.

My question: is there a straight forward way to find the intersection of the Global rule base(?) with this list? or string yet another Select function with a say, WolframFunctionNameQ predicate?

Of course, more elegant methods of getting there would be appreciated.


A more rigours way to get function names is to examine the html elements. Here I assumed the bold text of functions are intended functions, so things like Alignment is not included.

data = Import["https://www.wolfram.com/language/elementary-introduction/2nd-ed/book-index.html", "Source"];
   "<span class=\"FunctionName\">" ~~ Shortest[fun__] ~~ "</span>" :> 
    fun]], Names["System`*"]]
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  • $\begingroup$ thanks - with my xp level, this answer makes sense. also, that garden path that i went down set me up to think that it should be a simple Intersection question so your answer was a perfect moment for me to learn about Names. I have no idea what MB1965 is doing... $\endgroup$ – Joe May 24 '17 at 5:29
  • $\begingroup$ @Joe more or less this but I applied a StringCases to pull a more compact set of function names so that we don't get anything that's in the headers or footers of the page. I used Cases instead of Intersection. $\endgroup$ – b3m2a1 May 24 '17 at 5:35
  • $\begingroup$ @happyfish bizarre I get Abs fine. Did you have text = Import["https://www.wolfram.com/language/elementary-introduction/2nd-ed/book-index.html"];? I forgot to include that line it seems. Also sans duplicates I have 594. $\endgroup$ – b3m2a1 May 24 '17 at 5:51
  • $\begingroup$ @happyfish interestingly your method returns 642 unique functions. I wonder how many of those are ones my rather-string StringCases missed and how many come from the header and footer and things. I'm betting most are in the former set. $\endgroup$ – b3m2a1 May 24 '17 at 5:57
  • $\begingroup$ @happyfish I think you should stick a StringTrim[__, Except[("$"|WordCharacter)]..] in your code. I applied some StringCases to drop the footer and header and with that plus the string trim I get some 647 functions (vs 636 without the trim). And using a cleaner (I think) version of my code I get 597 there. $\endgroup$ – b3m2a1 May 24 '17 at 6:07

I think you'll be better served by taking the data you can find from Names:

rawText = 
text =
    StringCases[rawText, "Index" ~~ Whitespace ~~ "\n" ~~ __][[1]],
    (func : (("$" | "") ~~ WordCharacter ..) ~~ ___ ~~ NumberString) :> 
    ] // Flatten // Cases[Alternatives @@ Names["System`*"]] // Sort

I get about 597 unique functions from that.

Mentioned this in a comment to happyfish but rather than parsing the HTML it is often nicer to use an XMLObject representation:

xml = Import[
   "https://www.wolfram.com/language/elementary-introduction/2nd-ed/book-index.html", {"HTML", "XMLObject"}

     XMLElement[_, {___, "class" -> "FunctionName", ___}, f_] :> f,
     ] // Flatten // DeleteDuplicates,
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url = "https://www.wolfram.com/language/elementary-introduction/2nd-ed/book-index.html";
xmlElements[url_] := Import[url, "XMLObject"];
functionElements[xes_] := Position[xes, XMLElement["span", {"class" -> "FunctionName"},{_String}]] // Extract[xss, #] &
systemFunctionNames[xss_] := Map[#[[3]] &, xss] // Union // Flatten // Intersection[#,Names["System`*"]] &
importSystemFunctionNames[url_] := Composition[systemFunctionNames, functionElements, xmlElements][url]
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