[Haskell-cafe] Applying Data.Map

[michael rice]

Hi Toby,

Thanks for the helpful comments. I'd gotten used to arithmetic operator sections (+2), (*2), etc. but hadn't picked up on the generality of using them with *any* infix function. I can also see the benefit of using List.Group. However, I'm uncertain about how to import just fromList and ! from with the imports I'm using

import Data.Map (Map)   (fromList,!)  ???
import qualified Data.Map as Map  (fromList,!) ???

Michael

--- On Mon, 6/8/09, Toby Hutton <toby.hutton at gmail.com> wrote:

From: Toby Hutton <toby.hutton at gmail.com>
Subject: Re: [Haskell-cafe] Applying Data.Map
To: "michael rice" <nowgate at yahoo.com>
Cc: haskell-cafe at haskell.org
Date: Monday, June 8, 2009, 8:57 PM

Although in this example using Data.Map is overkill, if the alphabet was very large then Data.Map probably would be the way to go. In that case I'd use:
map head . group . sort instead of nub . sort


since it's noticeably quicker for large lists.  This is because nub needs to preserve the order of input, removing redundancies, but you're sorting it anyway.
Also, in map (\c -> m Map.! c) s you can use the 'section' (m Map.!) instead.  e.g., map (m Map.!) s


The Map.! is ugly though.  As you're only using fromList and (!) from Data.Map, I'd just import those explicitly since they don't clash with Prelude.  Then you'd have map (m !) s


Toby.

On Tue, Jun 9, 2009 at 4:59 AM, michael rice <nowgate at yahoo.com> wrote:


I wrote a Haskell solution for the Prolog problem stated below. I had written a function SQUISH before discovering that NUB does the same thing. While the solution works, I thought maybe I could apply some functions in the Data.Map module, and so wrote a second version of SERIALIZE, one no longer needing TRANSLATE. Using the Data.Map module is probably overkill for this particular problem, but wanted to familiarize myself with Map type. Suggestions welcome. Prolog code also included below for those interested.



Michael 



===========

{-


 From "Prolog By Example", Coelho, Cotta, Problem 42, pg. 63



   Verbal statement:
   Generate a list of serial numbers for the items of a given
 list,
   the members of which are to be numbered in alphabetical order.



   For example, the list [p,r,o,l,o,g] must generate [4,5,3,2,3,1]


-}

{-


Prelude> :l
 serialize
[1 of 1] Compiling Main             ( serialize.hs, interpreted )


Ok, modules loaded: Main.
*Main> serialize "prolog"


[4,5,3,2,3,1]
*Main>


-} 

===========Haskell code==========



import Data.Char
import Data.List


import Data.Map (Map)
import qualified Data.Map as
 Map

{-


translate :: [Char] -> [(Char,Int)] -> [Int]
translate [] _ = []


translate (x:xs) m = (fromJust (lookup x m)) : (translate xs m )
-}



{-
serialize :: [Char] -> [Int]


serialize s = let c = nub $ sort s
                  n = [1..(length c)]


              in translate s (zip c n)
-}



serialize :: [Char] -> [Int]

serialize s = let c = nub $ sort s

                  n = [1..(length c)]
                  m = Map.fromList $ zip c n


              in map (\c -> m Map.! c) s 



============Prolog code============



serialize(L,R) :- pairlists(L,R,A),arrange(A,T),
                  numbered(T,1,N).


                                                ?  <- typo?
pairlists([X|L],[Y|R],[pair(X,Y)|A]) :- pairlist(L,R,A).


pairlists([],[],[]). 

arrange([X|L],tree(T1,X,T2)) :- partition(L,X,L1,L2),


                                arrange(L1,T1),
                                arrange(L2,T2).


arrange([],_).

partition([X|L],X,L1,L2) :- partition(L,X,L1,L2).


partition([X|L],Y,[X|L1],L2) :- before(X,Y),
                                partition(L,Y,L1,L2).


partition([X|L],Y,L1,[X|L2]) :- before(Y,X),
                                partition(L,Y,L1,L2).


partition([],_,[],[]).

before(pair(X1,Y1),pair(X2,Y2)) :- X1<X2.



numbered(tree(T1,pair(X,N1),T2),N0,N) :- numbered(T1,N0,N1),


                                         N2 is N1+1,
                                         numbered(T2,N2,N).


numbered(void,N,N).

============Prolog examples========


Execution:

?- serialize([p,r,o,l,o,g]).


   [4,5,3,2,3,1]
?- serialize ([i,n,t,.,a,r,t,i,f,i,c,i,a,l]).


  [5,7,9,1,2,8,9,5,4,5,3,5,2,6]




      
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