[Haskell-beginners] Padding List with Zeros
Hein Hundal
hundalhh at yahoo.com
Wed Sep 15 14:24:09 EDT 2010
On Wed, 15 Sep 2010 16:23:49, Daniel Fischer wrote:
> On Wednesday 15 September 2010 15:15:49, Henry Olders wrote:
> > On 2010-09-14, at 19:35 , Lorenzo Isella wrote:
> > > Dear All,
> > > I still have to find my way with immutable lists and list
> > > comprehension. Consider the following lists
> > >
> > > A=[0,10,20,30,40,50]
> > > B=[0,10,50] (i.e. B is a subset of list A; list A is
> > > already ordered in increasing order and so is B).
> > > C=[2,1,-5] i.e. there is a corresponding element in C for every
> > > element in B.
> > >
> > > Now, I would like to define a new list D having length equal
> > > to the length of A. The elements of D in the position of the
> > > elements of A in common with B are equal to the corresponding
> > > entries in C, whereas the other ones are zero i.e.
> > > D=[2,1,0,0,0,-5]. How can I achieve that? The first thought
> > > that comes to my mind is to define a list of zeros which I
> > > would modify according to my needs, but that is not allowed...
Yes, that is not allowed. First thing I thought of also.
> > > Many thanks
> > >
> > > Lorenzo
> >
> > Being a real Haskell newby, I can figure out a one-line solution in
> > Python, but I don't know how to do something similar in Haskell, or even
> > if it's possible. Please correct me if I'm wrong, but there does not
> > seem to be a dictionary type in Haskell, and I am not aware of how to
> > specify an inline if...else inside a list comprehension. I would really
> > appreciate it if someone could show me how to do something similar to
> > this Python statement in Haskell.
> >
>
>import Data.Maybe
>
> > >>> A=[0,10,20,30,40,50]
> > >>> B=[0,10,50]
> > >>> C=[2,1,-5]
>
> These have to be lowercase in Haskell, of course :)
>
> > >>> [dict(zip(B,C))[a] if a in B else 0 for a in A]
>
> map (fromMaybe 0 . (`lookup` zip b c)) a
>
> or, as a list comprehension,
>
> [fromMaybe 0 (lookup v dic) | let dic = zip b c, v <- a]
>
> Slightly more verbose than the Python.
>
> But this doesn't deal with multiple entries (istr that was
> mentioned previously in this thread), for
>
> a = [0, 10, 10, 20, 30 , 40, 50]
> b = [0, 10, 10, 50]
> c = [2, 1, 3, -5]
>
> neither would produce
>
> [2, 1, 3, 0, 0, 0, -5]
>
> which I believe would be the desired behavior.
>
> >
> > [2, 1, 0, 0, 0, -5]
> >
> > Henry
I love the map solution and the lookup solutions--very concise. Someday perhaps those will occur to me when I look at these problems.
Here is my (extremely) verbose beginner solution. I think this solution is linear time and it returns the "desired behavior" in Daniel's post.
-- indices v1 v2
-- find the elemIndex of v2's elements in v1
-- almost equivalent to (map (flip elemIndex v1) v2)
--
indices v1 v2 = indices' 0 v1 v2
indices' iOff (x:xs) (y:ys)
| x < y = indices' (iOff+1) xs (y:ys)
| x ==y = iOff:(indices' (iOff+1) xs ys)
| x > y = error "indicies:: elem not found"
indices' _ _ [] = []
indices' _ [] (y:ys) = error "indices:: elem not found"
-- makevec 0 indices values
-- returns a vector with values filled in at the indices given
--
makevec _ [] _ = []
makevec _ _ [] = error "makevec:: "
makevec iOffSet (i:is) (x:xs)
| iOffSet < i = replicate (i-iOffSet) 0 ++ makevec i (i:is) (x:xs)
| iOffSet ==i = x:(makevec (iOffSet+1) is xs)
| iOffSet > i = error "makevec error"
hisfunc :: [Integer] -> [Integer] -> [Integer] -> [Integer]
hisfunc a b c = let front = makevec 0 (indices a b) c
in front ++ replicate (length a - length front) 0
test1 = hisfunc a b c
test2 = hisfunc (a++[70, 90]) b c
test3 = hisfunc (a++[70, 90]) (b++[70]) (c++[-14])
test4 = hisfunc [0,10,10,20,30,40,50] [0,10,10,50] [2,1,3,-5]
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