Peter Verswyvelen bugfact at gmail.com
Wed Apr 8 12:52:52 EDT 2009

```Well okay, I don't really need the state since it is already in the list...
So cleaned up
iterateM n i =
fmap (tail . reverse) .
foldM collectEffect [i] .
replicate n
where
collectEffect xxs@(x:xs) f = fmap (:xxs) (f x)

But I'm sure it can be much simpler (I don't understand Claus' version :-)

On Wed, Apr 8, 2009 at 6:38 PM, Peter Verswyvelen <bugfact at gmail.com> wrote:

> Oh, I could have written it in more point free style (with arguments
> reversed) as
> iterateM n i = fmap (reverse . snd) .
>                foldM collectEffect (i,[]) .
>                replicate n
>   where
>     collectEffect (x,rs) f = f x >>= \y -> return (y,y:rs)
>
> and I'm sure collectEffect could also be improved, but I'm still in
> newbieeee land
>
> On Wed, Apr 8, 2009 at 6:33 PM, Peter Verswyvelen <bugfact at gmail.com>wrote:
>
>> I don't think scanl can work here, since the monadic action has to be
>> applied to the result of previous one and will have a side effect, so if you
>> build a list like
>> [return i, return i >>= f, return i >>= f >>= f, ...]
>>
>> the first action will do nothing, the second action will have a single
>> side effect, but the third one will have 3 side effects instead of 2,
>> because it operates on the side-effect performed by the second one.
>>
>> This seems to work (a combination of manual state monad and foldM, I could
>> also have used a state monad transformer I guess)
>>
>> iterateM n f i = foldM collectEffect (i,[]) (replicate n f) >>= return .
>> reverse . snd
>>   where
>>     collectEffect (x,rs) f = f x >>= \y -> return (y,y:rs)
>>
>> Ugly test:
>>
>> var = unsafePerformIO \$ newIORef 0
>>
>> inc i = do
>> let y = x+i
>> writeIORef var y
>>  return y
>>
>> results in
>>
>> *Main> iterateM 10 inc 1
>> [1,2,4,8,16,32,64,128,256,512]
>> *Main> iterateM 10 inc 1
>> [513,1026,2052,4104,8208,16416,32832,65664,131328,262656]
>>
>> but maybe this is not what you're looking for?
>>
>>
>>
>>
>>
>>
>>
>>
>> On Wed, Apr 8, 2009 at 5:30 PM, Thomas Davie <tom.davie at gmail.com> wrote:
>>
>>>
>>> On 8 Apr 2009, at 17:20, Jonathan Cast wrote:
>>>
>>>  On Wed, 2009-04-08 at 16:57 +0200, Thomas Davie wrote:
>>>>
>>>>> We have two possible definitions of an "iterateM" function:
>>>>>
>>>>> iterateM 0 _ _ = return []
>>>>> iterateM n f i = (i:) <\$> (iterateM (n-1) f =<< f i)
>>>>>
>>>>> iterateM n f i = sequence . scanl (>>=) (return i) \$ replicate n f
>>>>>
>>>>> The former uses primitive recursion, and I get the feeling it should
>>>>> be better written without it.  The latter is quadratic time – it
>>>>> builds up a list of monadic actions, and then runs them each in turn.
>>>>>
>>>>
>>>> doesn't object to being left-associated (which is *not* the case for
>>>> free monads), then I think
>>>>
>>>> iterateM n f i = foldl (>>=) (return i) \$ replicate n f
>>>>
>>>
>>> But this isn't the same function – it only gives back the final result,
>>> not the intermediaries.
>>>
>>> Bob_______________________________________________
>>>