[KDB+/Q]: Deparse q parse tree into q expression (string) - parsing

Let's define deparse1 as inverse operation to q's native parse, so that the following holds:
q)aStringQExpression~deparse parse aStringQExpression
1b
Question
What's the definition of deparse function so that the above indeed works?
For example, in the below update expression, we know that "a*0^b+c-d" expression corresponds to (*;`a;(^;0;(+;`b;(-;`c;`d)))) parse tree:
q)-3!parse "update col:a*0^b+c-d from t"
"(!;`t;();0b;(,`col)!,(*;`a;(^;0;(+;`b;(-;`c;`d)))))"
So the envisaged deparse function should return:
q)deparse "(*;`a;(^;0;(+;`b;(-;`c;`d))))"
"a*0^b+c-d"
q)deparse "(!;`t;();0b;(,`col)!,(*;`a;(^;0;(+;`b;(-;`c;`d)))))"
"update col:a*0^b+c-d from t"
Motivation/Background/Use case:
Inline expressions are arguably faster to grok by human eye (left-to-right) than deeply nested parse trees. Although in the background my code is editing the parse tree programatically, it is useful for debugging or presentation to conveniently convert that resulting parse tree into inline expression string.
1 Similar functionality described here: http://adv-r.had.co.nz/Expressions.html#parsing-and-deparsing

This unparse repository from Github solves the problem. Amazing:
q).unparse.unparse parse "update col:a*0^b+c-d from t"
"update col:(a*(0^(b+(c-d)))) from t"
q).unparse.unparse parse "a*0^b+c-d"
"(a*(0^(b+(c-d))))"

I think the only way to do this would be to parse the list recursively and build up a string, e.g. for a dyadic:
q)deparse:{a:-3!'x;a[1],a[0],a[2]}
q)deparse parse "3*3"
"3*3"
So you can count last x to get it valency and build the string accordingly

Related

How to use context free grammars?

Could someone help me with using context free grammars. Up until now I've used regular expressions to remove comments, block comments and empty lines from a string so that it can be used to count the PLOC. This seems to be extremely slow so I was looking for a different more efficient method.
I saw the following post: What is the best way to ignore comments in a java file with Rascal?
I have no idea how to use this, the help doesn't get me far as well. When I try to define the line used in the post I immediately get an error.
lexical SingleLineComment = "//" ~[\n] "\n";
Could someone help me out with this and also explain a bit about how to setup such a context free grammar and then to actually extract the wanted data?
Kind regards,
Bob
First this will help: the ~ in Rascal CFG notation is not in the language, the negation of a character class is written like so: ![\n].
To use a context-free grammar in Rascal goes in three steps:
write it, like for example the syntax definition of the Func language here: http://docs.rascal-mpl.org/unstable/Recipes/#Languages-Func
Use it to parse input, like so:
// This is the basic parse command, but be careful it will not accept spaces and newlines before and after the TopNonTerminal text:
Prog myParseTree = parse(#Prog, "example string");
// you can do the same directly to an input file:
Prog myParseTree = parse(#TopNonTerminal, |home:///myProgram.func|);
// if you need to accept layout before and after the program, use a "start nonterminal":
start[Prog] myParseTree = parse(#start[TopNonTerminal], |home:///myProgram.func|);
Prog myProgram = myParseTree.top;
// shorthand for parsing stuff:
myProgram = [Prog] "example";
myProgram = [Prog] |home:///myLocation.txt|;
Once you have the tree you can start using visit and / deepmatch to extract information from the tree, or write recursive functions if you like. Examples can be found here: http://docs.rascal-mpl.org/unstable/Recipes/#Languages-Func , but here are some common idioms as well to extract information from a parse tree:
// produces the source location of each node in the tree:
myParseTree#\loc
// produces a set of all nodes of type Stat
{ s | /Stat s := myParseTree }
// pattern match an if-then-else and bind the three expressions and collect them in a set:
{ e1, e2, e3 | (Stat) `if <Exp e1> then <Exp e2> else <Exp e3> end` <- myExpressionList }
// collect all locations of all sub-trees (every parse tree is of a non-terminal type, which is a sub-type of Tree. It uses |unknown:///| for small sub-trees which have not been annotated for efficiency's sake, like literals and character classes:
[ t#\loc?|unknown:///| | /Tree t := myParseTree ]
That should give you a start. I'd go try out some stuff and look at more examples. Writing a grammar is a nice thing to do, but it does require some trial and error methods like writing a regex, but even more so.
For the grammar you might be writing, which finds source code comments but leaves the rest as "any character" you will need to use the longest match disambiguation a lot:
lexical Identifier = [a-z]+ !>> [a-z]; // means do not accept an Identifier if there is still [a-z] to add to it; so only the longest possible Identifier will match.
This kind of context-free grammar is called an "Island Grammar" metaphorically, because you will write precise rules for the parts you want to recognize (the comments are "Islands") while leaving the rest as everything else (the rest is "Water"). See https://dl.acm.org/citation.cfm?id=837160

Dealing with read no parse error for lists

Hello can someone please explain me how can you deal with failed computations (in our case parsings) in Haskell when performed in a list,retrieving the successful elements?
The error i get is
main: Prelude.read: no parse and that stops all the list from being processed
I am using a forM over a collection of Text , and for each element i am using a read::String->Double for the result value.
Currently the parsing fails at the first element and i can not parse the remaining elements.How can i make single elements "fail-able" but still get partial results ( for the elements of the list that could be parsed) ?
Example :Input: ["asta","1.23","2.44"]
Desired Output:[1.23,2.44]
import qualified Data.Text as T
parseDfile::[T.Text]->IO [Maybe Double]
parseDfile []=do
return [Nothing]
parseDfile lines = forM lines $ \line ->
do
Prelude.putStrLn ("line value:"++(T.unpack line))
let value = (read::String->Double) . T.unpack $ //fails here for first element
print .show $ value
return (Just value)
P.SDo i have to define a method using the Maybe monad separately only for that one line of code ?
The Text.Read library also has a function called readMaybe that returns a Maybe a instead of just an a like read does.
In the case that you're not sure whether or not a string can be parsed, you clearly want a Maybe a. Now you need to deal with the Maybe though, however the Maybe monad has tons of functions that do exactly what you need.
For more complicated parsing you could look into the Haskell ParseLib which is really good. However it might be a little overkill if you're not trying to parse more than your example.

How to output text from lists of variable sizes using printf?

I'm trying to automate some output using printf but I'm struggling to find a way to pass to it the list of arguments expr_1, ..., expr_n in
printf (dest, string, expr_1, ..., expr_n)
I thought of using something like Javascript's spread operator but I'm not even sure I should need it.
For instace, say I have a list of strings to be output
a:["foo","bar","foobar"];
a string of appropriate format descriptors, say
s: "~a ~a ~a ~%";
and an output stream, say os. How can I invoke printf using these things in such a way that the result will be the same as writing
printf(os,s,a[1],a[2],a[3]);
Then I could generalize it to output lists of variable size.
Any suggestions?
Thanks.
EDIT:
I just learned about apply and, using the conditions I posed in my OP, the following seems to work wonderfully:
apply(printf,append([os,s],a));
Maxima printf implements most or maybe all of the formatting operators from Common Lisp FORMAT, which are quite extensive; see: http://www.lispworks.com/documentation/HyperSpec/Body/22_c.htm See also ? printf in Maxima to get an abbreviated list of formatting operators.
In particular for a list you can do something like:
printf (os, "my list: ~{~a~^, ~}~%", a);
to get the elements of a separated by ,. Here "~{...~}" tells printf to expect a list, and ~a is how to format each element, ~^ means omit the inter-element stuff after the last element, and , means put that between elements. Of course , could be anything.
There are many variations on that; if that's not what you're looking for, maybe I can help you find it.

Append text file to lexicon in Rascal

Is it possible to append terminals retrieved from a text file to a lexicon in Rascal? This would happen at run time, and I see no obvious way to achieve this. I would rather keep the data separate from the Rascal project. For example, if I had read in a list of countries from a text file, how would I add these to a lexicon (using the lexical keyword)?
In the data-dependent version of the Rascal parser this is even easier and faster but we haven't released this yet. For now I'd write a generic rule with a post-parse filter, like so:
rascal>set[str] lexicon = {"aap", "noot", "mies"};
set[str]: {"noot","mies","aap"}
rascal>lexical Word = [a-z]+;
ok
rascal>syntax LexiconWord = word: Word w;
ok
rascal>LexiconWord word(Word w) { // called when the LexiconWord.word rule is use to build a tree
>>>>>>> if ("<w>" notin lexicon)
>>>>>>> filter; // remove this parse tree
>>>>>>> else fail; // just build the tree
>>>>>>>}
rascal>[Sentence] "hello"
|prompt:///|(0,18,<1,0>,<1,18>): ParseError(|prompt:///|(0,18,<1,0>,<1,18>))
at $root$(|prompt:///|(0,64,<1,0>,<1,64>))
rascal>[Sentence] "aap"
Sentence: (Sentence) `aap`
rascal>
Because the filter function removed all possible derivations for hello, the parser eventually returns a parse error on hello. It does not do so for aap which is in the lexicon, so hurray. Of course you can make interestingly complex derivations with this kind of filtering. People sometimes write ambiguous grammars and use filters like so to make it unambiguous.
Parsing and filtering in this way is in cubic worst-case time in terms of the length of the input, if the filtering function is in amortized constant time. If the grammar is linear, then of course the entire process is also linear.
A completely different answer would be to dynamically update the grammar and generate a parser from this. This involves working against the internal grammar representation of Rascal like so:
set[str] lexicon = {"aap", "noot", "mies"};
syntax Word = ; // empty definition
typ = #Word;
grammar = typ.definitions;
grammar[sort("Word")] = { prod(sort("Word"), lit(x), {}) | x <- lexicon };
newTyp = type(sort("Word"), grammar);
This newType is a reified grammar + type for the definition of the lexicon, and which can now be used like so:
import ParseTree;
if (type[Word] staticGrammar := newType) {
parse(staticGrammar, "aap");
}
Now having written al this, two things:
I think this may trigger unknown bugs since we did not test dynamic parser generation, and
For a lexicon with a reasonable size, this will generate an utterly slow parser since the parser is optimized for keywords in programming languages and not large lexicons.

Haskell/Parsec: How do you use the functions in Text.Parsec.Indent?

I'm having trouble working out how to use any of the functions in the Text.Parsec.Indent module provided by the indents package for Haskell, which is a sort of add-on for Parsec.
What do all these functions do? How are they to be used?
I can understand the brief Haddock description of withBlock, and I've found examples of how to use withBlock, runIndent and the IndentParser type here, here and here. I can also understand the documentation for the four parsers indentBrackets and friends. But many things are still confusing me.
In particular:
What is the difference between withBlock f a p and
do aa <- a
pp <- block p
return f aa pp
Likewise, what's the difference between withBlock' a p and do {a; block p}
In the family of functions indented and friends, what is ‘the level of the reference’? That is, what is ‘the reference’?
Again, with the functions indented and friends, how are they to be used? With the exception of withPos, it looks like they take no arguments and are all of type IParser () (IParser defined like this or this) so I'm guessing that all they can do is to produce an error or not and that they should appear in a do block, but I can't figure out the details.
I did at least find some examples on the usage of withPos in the source code, so I can probably figure that out if I stare at it for long enough.
<+/> comes with the helpful description “<+/> is to indentation sensitive parsers what ap is to monads” which is great if you want to spend several sessions trying to wrap your head around ap and then work out how that's analogous to a parser. The other three combinators are then defined with reference to <+/>, making the whole group unapproachable to a newcomer.
Do I need to use these? Can I just ignore them and use do instead?
The ordinary lexeme combinator and whiteSpace parser from Parsec will happily consume newlines in the middle of a multi-token construct without complaining. But in an indentation-style language, sometimes you want to stop parsing a lexical construct or throw an error if a line is broken and the next line is indented less than it should be. How do I go about doing this in Parsec?
In the language I am trying to parse, ideally the rules for when a lexical structure is allowed to continue on to the next line should depend on what tokens appear at the end of the first line or the beginning of the subsequent line. Is there an easy way to achieve this in Parsec? (If it is difficult then it is not something which I need to concern myself with at this time.)
So, the first hint is to take a look at IndentParser
type IndentParser s u a = ParsecT s u (State SourcePos) a
I.e. it's a ParsecT keeping an extra close watch on SourcePos, an abstract container which can be used to access, among other things, the current column number. So, it's probably storing the current "level of indentation" in SourcePos. That'd be my initial guess as to what "level of reference" means.
In short, indents gives you a new kind of Parsec which is context sensitive—in particular, sensitive to the current indentation. I'll answer your questions out of order.
(2) The "level of reference" is the "belief" referred in the current parser context state of where this indentation level starts. To be more clear, let me give some test cases on (3).
(3) In order to start experimenting with these functions, we'll build a little test runner. It'll run the parser with a string that we give it and then unwrap the inner State part using an initialPos which we get to modify. In code
import Text.Parsec
import Text.Parsec.Pos
import Text.Parsec.Indent
import Control.Monad.State
testParse :: (SourcePos -> SourcePos)
-> IndentParser String () a
-> String -> Either ParseError a
testParse f p src = fst $ flip runState (f $ initialPos "") $ runParserT p () "" src
(Note that this is almost runIndent, except I gave a backdoor to modify the initialPos.)
Now we can take a look at indented. By examining the source, I can tell it does two things. First, it'll fail if the current SourcePos column number is less-than-or-equal-to the "level of reference" stored in the SourcePos stored in the State. Second, it somewhat mysteriously updates the State SourcePos's line counter (not column counter) to be current.
Only the first behavior is important, to my understanding. We can see the difference here.
>>> testParse id indented ""
Left (line 1, column 1): not indented
>>> testParse id (spaces >> indented) " "
Right ()
>>> testParse id (many (char 'x') >> indented) "xxxx"
Right ()
So, in order to have indented succeed, we need to have consumed enough whitespace (or anything else!) to push our column position out past the "reference" column position. Otherwise, it'll fail saying "not indented". Similar behavior exists for the next three functions: same fails unless the current position and reference position are on the same line, sameOrIndented fails if the current column is strictly less than the reference column, unless they are on the same line, and checkIndent fails unless the current and reference columns match.
withPos is slightly different. It's not just a IndentParser, it's an IndentParser-combinator—it transforms the input IndentParser into one that thinks the "reference column" (the SourcePos in the State) is exactly where it was when we called withPos.
This gives us another hint, btw. It lets us know we have the power to change the reference column.
(1) So now let's take a look at how block and withBlock work using our new, lower level reference column operators. withBlock is implemented in terms of block, so we'll start with block.
-- simplified from the actual source
block p = withPos $ many1 (checkIndent >> p)
So, block resets the "reference column" to be whatever the current column is and then consumes at least 1 parses from p so long as each one is indented identically as this newly set "reference column". Now we can take a look at withBlock
withBlock f a p = withPos $ do
r1 <- a
r2 <- option [] (indented >> block p)
return (f r1 r2)
So, it resets the "reference column" to the current column, parses a single a parse, tries to parse an indented block of ps, then combines the results using f. Your implementation is almost correct, except that you need to use withPos to choose the correct "reference column".
Then, once you have withBlock, withBlock' = withBlock (\_ bs -> bs).
(5) So, indented and friends are exactly the tools to doing this: they'll cause a parse to immediately fail if it's indented incorrectly with respect to the "reference position" chosen by withPos.
(4) Yes, don't worry about these guys until you learn how to use Applicative style parsing in base Parsec. It's often a much cleaner, faster, simpler way of specifying parses. Sometimes they're even more powerful, but if you understand Monads then they're almost always completely equivalent.
(6) And this is the crux. The tools mentioned so far can only do indentation failure if you can describe your intended indentation using withPos. Quickly, I don't think it's possible to specify withPos based on the success or failure of other parses... so you'll have to go another level deeper. Fortunately, the mechanism that makes IndentParsers work is obvious—it's just an inner State monad containing SourcePos. You can use lift :: MonadTrans t => m a -> t m a to manipulate this inner state and set the "reference column" however you like.
Cheers!

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