How can I write a function fmap that returns the same type of iterable that was inputted?












5















How can I write a function "fmap", with this properties :



>>> l = [1, 2]; fmap(lambda x: 2*x, l)
[2, 4]
>>> l = (1, 2); fmap(lambda x: 2*x, l)
(2, 4)
>>> l = {1, 2}; fmap(lambda x: 2*x, l)
{2, 4}


(I search a kind of "fmap" in haskell, but in python3).



I have a very ugly solution, but there is certainly a solution more pythonic and generic ? :



def fmap(f, container):
t = container.__class__.__name__
g = map(f, container)
return eval(f"{t}(g)")









share|improve this question




















  • 2





    Breaks if: fmap(lambda x: x[0], {"A":"small","Example":"that","Does":"not","Work":"!"}) .. and in any other case where the function changes the type...

    – Patrick Artner
    Jan 2 at 10:27


















5















How can I write a function "fmap", with this properties :



>>> l = [1, 2]; fmap(lambda x: 2*x, l)
[2, 4]
>>> l = (1, 2); fmap(lambda x: 2*x, l)
(2, 4)
>>> l = {1, 2}; fmap(lambda x: 2*x, l)
{2, 4}


(I search a kind of "fmap" in haskell, but in python3).



I have a very ugly solution, but there is certainly a solution more pythonic and generic ? :



def fmap(f, container):
t = container.__class__.__name__
g = map(f, container)
return eval(f"{t}(g)")









share|improve this question




















  • 2





    Breaks if: fmap(lambda x: x[0], {"A":"small","Example":"that","Does":"not","Work":"!"}) .. and in any other case where the function changes the type...

    – Patrick Artner
    Jan 2 at 10:27
















5












5








5








How can I write a function "fmap", with this properties :



>>> l = [1, 2]; fmap(lambda x: 2*x, l)
[2, 4]
>>> l = (1, 2); fmap(lambda x: 2*x, l)
(2, 4)
>>> l = {1, 2}; fmap(lambda x: 2*x, l)
{2, 4}


(I search a kind of "fmap" in haskell, but in python3).



I have a very ugly solution, but there is certainly a solution more pythonic and generic ? :



def fmap(f, container):
t = container.__class__.__name__
g = map(f, container)
return eval(f"{t}(g)")









share|improve this question
















How can I write a function "fmap", with this properties :



>>> l = [1, 2]; fmap(lambda x: 2*x, l)
[2, 4]
>>> l = (1, 2); fmap(lambda x: 2*x, l)
(2, 4)
>>> l = {1, 2}; fmap(lambda x: 2*x, l)
{2, 4}


(I search a kind of "fmap" in haskell, but in python3).



I have a very ugly solution, but there is certainly a solution more pythonic and generic ? :



def fmap(f, container):
t = container.__class__.__name__
g = map(f, container)
return eval(f"{t}(g)")






python python-3.x functional-programming






share|improve this question















share|improve this question













share|improve this question




share|improve this question








edited Jan 2 at 10:30







HNoob

















asked Jan 2 at 10:09









HNoobHNoob

286312




286312








  • 2





    Breaks if: fmap(lambda x: x[0], {"A":"small","Example":"that","Does":"not","Work":"!"}) .. and in any other case where the function changes the type...

    – Patrick Artner
    Jan 2 at 10:27
















  • 2





    Breaks if: fmap(lambda x: x[0], {"A":"small","Example":"that","Does":"not","Work":"!"}) .. and in any other case where the function changes the type...

    – Patrick Artner
    Jan 2 at 10:27










2




2





Breaks if: fmap(lambda x: x[0], {"A":"small","Example":"that","Does":"not","Work":"!"}) .. and in any other case where the function changes the type...

– Patrick Artner
Jan 2 at 10:27







Breaks if: fmap(lambda x: x[0], {"A":"small","Example":"that","Does":"not","Work":"!"}) .. and in any other case where the function changes the type...

– Patrick Artner
Jan 2 at 10:27














3 Answers
3






active

oldest

votes


















3














Using the type of the input as a converter is not necessarily working in all occasions. map is just using the "iterability" of its input to produce its output. In Python3 this is why map returns a generator instead of a list (which is just more fitting).



So a cleaner and more robust version would be one which explicitly expects the various possible inputs it can handle and which raises an error in all other cases:



def class_retaining_map(fun, iterable):
if type(iterable) is list: # not using isinstance(), see below for reasoning
return [ fun(x) for x in iterable ]
elif type(iterable) is set:
return { fun(x) for x in iterable }
elif type(iterable) is dict:
return { k: fun(v) for k, v in iterable.items() }
# ^^^ use .iteritems() in python2!
# and depending on your usecase this might be more fitting:
# return { fun(k): v for k, v in iterable.items() }
else:
raise TypeError("type %r not supported" % type(iterable))


You could add a case for all other iterable values in the else clause of cause:



  else:
return (fun(x) for x in iterable)


But that would e. g. return an iterable for a subclass of set which might not be what you want.



Mind that I'm deliberately not using isinstance because that would make a list out of a subclass of list, for instance. I figure that this is explicitly not wanted in this case.



One could argue that anything which is a list (i. e. is a subclass of list) needs to comply to have a constructor which returns a thing of this type for an iteration of elements. And likewise for subclasses of set, dict (which must work for an iteration of pairs), etc. Then the code might look like this:



def class_retaining_map(fun, iterable):
if isinstance(iterable, (list, set)):
return type(iterable)(fun(x) for x in iterable)
elif isinstance(iterable, dict):
return type(iterable)((k, fun(v)) for k, v in iterable.items())
# ^^^ use .iteritems() in python2!
# and depending on your usecase this might be more fitting:
# return type(iterable)((fun(k), v) for k, v in iterable.items())
else:
raise TypeError("type %r not supported" % type(iterable))





share|improve this answer





















  • 1





    Are you deliberately using type(iterable) == list instead of isinstance? I can think of very few cases were this is not a bad practice. And even then, you would use is instead of ==.

    – Eli Korvigo
    Jan 2 at 10:40











  • @EliKorvigo Yes, I'm using type(iterable) deliberately (see my last paragraph which I added late for the reason of this). I changed the use of == to the use of is which is slightly better in this case, you are right.

    – Alfe
    Jan 2 at 10:43








  • 1





    I'll adopt this solution, with another case : elif type(iterable) is str: return "".join(map(fun, iterable))

    – HNoob
    Jan 2 at 10:55






  • 1





    In case you need strings, you might want to consider to add bytes in Python3 or unicode in Python2.

    – Alfe
    Jan 2 at 10:58



















5














Instantiate directly rather than via eval



__class__ can also be used to instantiate new instances:



def mymap(f, contener):
t = contener.__class__
return t(map(f, contener))


This removes the need for eval, use of which is considered poor practice. As per @EliKorvigo's comment, you may prefer built-in type to a magic method:



def mymap(f, contener):
t = type(contener)
return t(map(f, contener))


As explained here and in the docs:




The return value is a type object and generally the same object as returned by object.__class__.




"Generally the same" should be considered "equivalent" in the case of new-style classes.



Testing for an iterable



You can check/test for an iterable in a couple of ways. Either use try / except to catch TypeError:



def mymap(f, contener):
try:
mapper = map(f, contener)
except TypeError:
return 'Input object is not iterable'
return type(contener)(mapper)


Or use collections.Iterable:



from collections import Iterable

def mymap(f, contener):
if isinstance(contener, Iterable):
return type(contener)(map(f, contener))
return 'Input object is not iterable'


This works specifically because built-in classes commonly used as containers such as list, set, tuple, collections.deque, etc, can be used to instantiate instances via a lazy iterable. Exceptions exist: for example, str(map(str.upper, 'hello')) will not work as you might expect even though str instances are iterable.






share|improve this answer





















  • 2





    I'd say, calling type(container)(map(...)) is a bit cleaner than accessing a magic attribute.

    – Eli Korvigo
    Jan 2 at 10:22








  • 1





    @PatrickArtner, It certainly works for me.

    – jpp
    Jan 2 at 10:29











  • Yepp works. Would it be wise to put a try:except: around it in case the function transforms the iterabletype to something that does not work? or is it better to let it crash if you call it with a typechanging function? mymap(lambda x: x[0], {"A":"small","Example":"that","Does":"not","Work":"!"})

    – Patrick Artner
    Jan 2 at 10:33













  • @PatrickArtner, Fair point, I added a couple of ways this can be done.

    – jpp
    Jan 2 at 10:38






  • 1





    Your try/except code catches way too many cases. Each TypeError thrown in the execution of f within the map call will be caught and misinterpreted as "Input object is not iterable".

    – Alfe
    Jan 2 at 10:51



















1















I search a kind of "fmap" in haskell, but in python3




First, let's discuss Haskell's fmap to understand, why it behaves the way it does, though I assume you are fairly familiar with Haskell considering the question. fmap is a generic method defined in the Functor type-class:



class Functor f where
fmap :: (a -> b) -> f a -> f b
...


Functors obey several important mathematical laws and have several methods derived from fmap, though the latter is sufficient for a minimal complete functor instance. In other words, in Haskell types belonging to the Functor type-class implement their own fmap functions (moreover, Haskell types can have multiple Functor implementations via newtype definitions). In Python we don't have type-classes, though we do have classes that, while less convenient in this case, allow us to simulate this behaviour. Unfortunately, with classes we can't add functionality to an already defined class without subclassing, which limits our ability to implement a generic fmap for all builtin types, though we can overcome it by explicitly checking for acceptable iterable types in our fmap implementation. It's also literally impossible to express higher-kinded types using Python's type system, but I digress.



To summarise, we've got several options:




  1. Support all Iterable types (@jpp's solution). It relies on constructors to convert an iterator returned by Python's map back into the original type. That is the duty of applying a function over the values inside a container is taken away from the container. This approach differs drastically from the functor interface: functors are supposed to handle the mapping themselves and handle additional metadata crucial to reconstruct the container.

  2. Support a subset of readily mappable builtin iterable types (i.e. builtins that don't carry any important metadata). This solution is implemented by @Alfe, and, while less generic, it is safer.

  3. Take solution #2 and add support for proper user-defined functors.


This is my take on the third solution



import abc
from typing import Generic, TypeVar, Callable, Union,
Dict, List, Tuple, Set, Text

A = TypeVar('A')
B = TypeVar('B')


class Functor(Generic[A], metaclass=abc.ABCMeta):

@abc.abstractmethod
def fmap(self, f: Callable[[A], B]) -> 'Functor[B]':
raise NotImplemented


FMappable = Union[Functor, List, Tuple, Set, Dict, Text]


def fmap(f: Callable[[A], B], fmappable: FMappable) -> FMappable:
if isinstance(fmappable, Functor):
return fmappable.fmap(f)
if isinstance(fmappable, (List, Tuple, Set, Text)):
return type(fmappable)(map(f, fmappable))
if isinstance(fmappable, Dict):
return type(fmappable)(
(key, f(value)) for key, value in fmappable.items()
)
raise TypeError('argument fmappable is not an instance of FMappable')


Here is a demo



In [20]: import pandas as pd                                                                        

In [21]: class FSeries(pd.Series, Functor):
...:
...: def fmap(self, f):
...: return self.apply(f).astype(self.dtype)
...:

In [22]: fmap(lambda x: x * 2, [1, 2, 3])
Out[22]: [2, 4, 6]

In [23]: fmap(lambda x: x * 2, {'one': 1, 'two': 2, 'three': 3})
Out[23]: {'one': 2, 'two': 4, 'three': 6}

In [24]: fmap(lambda x: x * 2, FSeries([1, 2, 3], index=['one', 'two', 'three']))
Out[24]:
one 2
two 4
three 6
dtype: int64

In [25]: fmap(lambda x: x * 2, pd.Series([1, 2, 3], index=['one', 'two', 'three']))
---------------------------------------------------------------------------
TypeError Traceback (most recent call last)
<ipython-input-27-1c4524f8e4b1> in <module>
----> 1 fmap(lambda x: x * 2, pd.Series([1, 2, 3], index=['one', 'two', 'three']))

<ipython-input-7-53b2d5fda1bf> in fmap(f, fmappable)
34 if isinstance(fmappable, Functor):
35 return fmappable.fmap(f)
---> 36 raise TypeError('argument fmappable is not an instance of FMappable')
37
38

TypeError: argument fmappable is not an instance of FMappable


This solution allows us to define multiple functors for the same type via subclassing:



In [26]: class FDict(dict, Functor):
...:
...: def fmap(self, f):
...: return {f(key): value for key, value in self.items()}
...:
...:

In [27]: fmap(lambda x: x * 2, FDict({'one': 1, 'two': 2, 'three': 3}))
Out[27]: {'oneone': 1, 'twotwo': 2, 'threethree': 3}





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    3 Answers
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    active

    oldest

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    3 Answers
    3






    active

    oldest

    votes









    active

    oldest

    votes






    active

    oldest

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    3














    Using the type of the input as a converter is not necessarily working in all occasions. map is just using the "iterability" of its input to produce its output. In Python3 this is why map returns a generator instead of a list (which is just more fitting).



    So a cleaner and more robust version would be one which explicitly expects the various possible inputs it can handle and which raises an error in all other cases:



    def class_retaining_map(fun, iterable):
    if type(iterable) is list: # not using isinstance(), see below for reasoning
    return [ fun(x) for x in iterable ]
    elif type(iterable) is set:
    return { fun(x) for x in iterable }
    elif type(iterable) is dict:
    return { k: fun(v) for k, v in iterable.items() }
    # ^^^ use .iteritems() in python2!
    # and depending on your usecase this might be more fitting:
    # return { fun(k): v for k, v in iterable.items() }
    else:
    raise TypeError("type %r not supported" % type(iterable))


    You could add a case for all other iterable values in the else clause of cause:



      else:
    return (fun(x) for x in iterable)


    But that would e. g. return an iterable for a subclass of set which might not be what you want.



    Mind that I'm deliberately not using isinstance because that would make a list out of a subclass of list, for instance. I figure that this is explicitly not wanted in this case.



    One could argue that anything which is a list (i. e. is a subclass of list) needs to comply to have a constructor which returns a thing of this type for an iteration of elements. And likewise for subclasses of set, dict (which must work for an iteration of pairs), etc. Then the code might look like this:



    def class_retaining_map(fun, iterable):
    if isinstance(iterable, (list, set)):
    return type(iterable)(fun(x) for x in iterable)
    elif isinstance(iterable, dict):
    return type(iterable)((k, fun(v)) for k, v in iterable.items())
    # ^^^ use .iteritems() in python2!
    # and depending on your usecase this might be more fitting:
    # return type(iterable)((fun(k), v) for k, v in iterable.items())
    else:
    raise TypeError("type %r not supported" % type(iterable))





    share|improve this answer





















    • 1





      Are you deliberately using type(iterable) == list instead of isinstance? I can think of very few cases were this is not a bad practice. And even then, you would use is instead of ==.

      – Eli Korvigo
      Jan 2 at 10:40











    • @EliKorvigo Yes, I'm using type(iterable) deliberately (see my last paragraph which I added late for the reason of this). I changed the use of == to the use of is which is slightly better in this case, you are right.

      – Alfe
      Jan 2 at 10:43








    • 1





      I'll adopt this solution, with another case : elif type(iterable) is str: return "".join(map(fun, iterable))

      – HNoob
      Jan 2 at 10:55






    • 1





      In case you need strings, you might want to consider to add bytes in Python3 or unicode in Python2.

      – Alfe
      Jan 2 at 10:58
















    3














    Using the type of the input as a converter is not necessarily working in all occasions. map is just using the "iterability" of its input to produce its output. In Python3 this is why map returns a generator instead of a list (which is just more fitting).



    So a cleaner and more robust version would be one which explicitly expects the various possible inputs it can handle and which raises an error in all other cases:



    def class_retaining_map(fun, iterable):
    if type(iterable) is list: # not using isinstance(), see below for reasoning
    return [ fun(x) for x in iterable ]
    elif type(iterable) is set:
    return { fun(x) for x in iterable }
    elif type(iterable) is dict:
    return { k: fun(v) for k, v in iterable.items() }
    # ^^^ use .iteritems() in python2!
    # and depending on your usecase this might be more fitting:
    # return { fun(k): v for k, v in iterable.items() }
    else:
    raise TypeError("type %r not supported" % type(iterable))


    You could add a case for all other iterable values in the else clause of cause:



      else:
    return (fun(x) for x in iterable)


    But that would e. g. return an iterable for a subclass of set which might not be what you want.



    Mind that I'm deliberately not using isinstance because that would make a list out of a subclass of list, for instance. I figure that this is explicitly not wanted in this case.



    One could argue that anything which is a list (i. e. is a subclass of list) needs to comply to have a constructor which returns a thing of this type for an iteration of elements. And likewise for subclasses of set, dict (which must work for an iteration of pairs), etc. Then the code might look like this:



    def class_retaining_map(fun, iterable):
    if isinstance(iterable, (list, set)):
    return type(iterable)(fun(x) for x in iterable)
    elif isinstance(iterable, dict):
    return type(iterable)((k, fun(v)) for k, v in iterable.items())
    # ^^^ use .iteritems() in python2!
    # and depending on your usecase this might be more fitting:
    # return type(iterable)((fun(k), v) for k, v in iterable.items())
    else:
    raise TypeError("type %r not supported" % type(iterable))





    share|improve this answer





















    • 1





      Are you deliberately using type(iterable) == list instead of isinstance? I can think of very few cases were this is not a bad practice. And even then, you would use is instead of ==.

      – Eli Korvigo
      Jan 2 at 10:40











    • @EliKorvigo Yes, I'm using type(iterable) deliberately (see my last paragraph which I added late for the reason of this). I changed the use of == to the use of is which is slightly better in this case, you are right.

      – Alfe
      Jan 2 at 10:43








    • 1





      I'll adopt this solution, with another case : elif type(iterable) is str: return "".join(map(fun, iterable))

      – HNoob
      Jan 2 at 10:55






    • 1





      In case you need strings, you might want to consider to add bytes in Python3 or unicode in Python2.

      – Alfe
      Jan 2 at 10:58














    3












    3








    3







    Using the type of the input as a converter is not necessarily working in all occasions. map is just using the "iterability" of its input to produce its output. In Python3 this is why map returns a generator instead of a list (which is just more fitting).



    So a cleaner and more robust version would be one which explicitly expects the various possible inputs it can handle and which raises an error in all other cases:



    def class_retaining_map(fun, iterable):
    if type(iterable) is list: # not using isinstance(), see below for reasoning
    return [ fun(x) for x in iterable ]
    elif type(iterable) is set:
    return { fun(x) for x in iterable }
    elif type(iterable) is dict:
    return { k: fun(v) for k, v in iterable.items() }
    # ^^^ use .iteritems() in python2!
    # and depending on your usecase this might be more fitting:
    # return { fun(k): v for k, v in iterable.items() }
    else:
    raise TypeError("type %r not supported" % type(iterable))


    You could add a case for all other iterable values in the else clause of cause:



      else:
    return (fun(x) for x in iterable)


    But that would e. g. return an iterable for a subclass of set which might not be what you want.



    Mind that I'm deliberately not using isinstance because that would make a list out of a subclass of list, for instance. I figure that this is explicitly not wanted in this case.



    One could argue that anything which is a list (i. e. is a subclass of list) needs to comply to have a constructor which returns a thing of this type for an iteration of elements. And likewise for subclasses of set, dict (which must work for an iteration of pairs), etc. Then the code might look like this:



    def class_retaining_map(fun, iterable):
    if isinstance(iterable, (list, set)):
    return type(iterable)(fun(x) for x in iterable)
    elif isinstance(iterable, dict):
    return type(iterable)((k, fun(v)) for k, v in iterable.items())
    # ^^^ use .iteritems() in python2!
    # and depending on your usecase this might be more fitting:
    # return type(iterable)((fun(k), v) for k, v in iterable.items())
    else:
    raise TypeError("type %r not supported" % type(iterable))





    share|improve this answer















    Using the type of the input as a converter is not necessarily working in all occasions. map is just using the "iterability" of its input to produce its output. In Python3 this is why map returns a generator instead of a list (which is just more fitting).



    So a cleaner and more robust version would be one which explicitly expects the various possible inputs it can handle and which raises an error in all other cases:



    def class_retaining_map(fun, iterable):
    if type(iterable) is list: # not using isinstance(), see below for reasoning
    return [ fun(x) for x in iterable ]
    elif type(iterable) is set:
    return { fun(x) for x in iterable }
    elif type(iterable) is dict:
    return { k: fun(v) for k, v in iterable.items() }
    # ^^^ use .iteritems() in python2!
    # and depending on your usecase this might be more fitting:
    # return { fun(k): v for k, v in iterable.items() }
    else:
    raise TypeError("type %r not supported" % type(iterable))


    You could add a case for all other iterable values in the else clause of cause:



      else:
    return (fun(x) for x in iterable)


    But that would e. g. return an iterable for a subclass of set which might not be what you want.



    Mind that I'm deliberately not using isinstance because that would make a list out of a subclass of list, for instance. I figure that this is explicitly not wanted in this case.



    One could argue that anything which is a list (i. e. is a subclass of list) needs to comply to have a constructor which returns a thing of this type for an iteration of elements. And likewise for subclasses of set, dict (which must work for an iteration of pairs), etc. Then the code might look like this:



    def class_retaining_map(fun, iterable):
    if isinstance(iterable, (list, set)):
    return type(iterable)(fun(x) for x in iterable)
    elif isinstance(iterable, dict):
    return type(iterable)((k, fun(v)) for k, v in iterable.items())
    # ^^^ use .iteritems() in python2!
    # and depending on your usecase this might be more fitting:
    # return type(iterable)((fun(k), v) for k, v in iterable.items())
    else:
    raise TypeError("type %r not supported" % type(iterable))






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    share|improve this answer








    edited Jan 2 at 11:09

























    answered Jan 2 at 10:34









    AlfeAlfe

    33k1065110




    33k1065110








    • 1





      Are you deliberately using type(iterable) == list instead of isinstance? I can think of very few cases were this is not a bad practice. And even then, you would use is instead of ==.

      – Eli Korvigo
      Jan 2 at 10:40











    • @EliKorvigo Yes, I'm using type(iterable) deliberately (see my last paragraph which I added late for the reason of this). I changed the use of == to the use of is which is slightly better in this case, you are right.

      – Alfe
      Jan 2 at 10:43








    • 1





      I'll adopt this solution, with another case : elif type(iterable) is str: return "".join(map(fun, iterable))

      – HNoob
      Jan 2 at 10:55






    • 1





      In case you need strings, you might want to consider to add bytes in Python3 or unicode in Python2.

      – Alfe
      Jan 2 at 10:58














    • 1





      Are you deliberately using type(iterable) == list instead of isinstance? I can think of very few cases were this is not a bad practice. And even then, you would use is instead of ==.

      – Eli Korvigo
      Jan 2 at 10:40











    • @EliKorvigo Yes, I'm using type(iterable) deliberately (see my last paragraph which I added late for the reason of this). I changed the use of == to the use of is which is slightly better in this case, you are right.

      – Alfe
      Jan 2 at 10:43








    • 1





      I'll adopt this solution, with another case : elif type(iterable) is str: return "".join(map(fun, iterable))

      – HNoob
      Jan 2 at 10:55






    • 1





      In case you need strings, you might want to consider to add bytes in Python3 or unicode in Python2.

      – Alfe
      Jan 2 at 10:58








    1




    1





    Are you deliberately using type(iterable) == list instead of isinstance? I can think of very few cases were this is not a bad practice. And even then, you would use is instead of ==.

    – Eli Korvigo
    Jan 2 at 10:40





    Are you deliberately using type(iterable) == list instead of isinstance? I can think of very few cases were this is not a bad practice. And even then, you would use is instead of ==.

    – Eli Korvigo
    Jan 2 at 10:40













    @EliKorvigo Yes, I'm using type(iterable) deliberately (see my last paragraph which I added late for the reason of this). I changed the use of == to the use of is which is slightly better in this case, you are right.

    – Alfe
    Jan 2 at 10:43







    @EliKorvigo Yes, I'm using type(iterable) deliberately (see my last paragraph which I added late for the reason of this). I changed the use of == to the use of is which is slightly better in this case, you are right.

    – Alfe
    Jan 2 at 10:43






    1




    1





    I'll adopt this solution, with another case : elif type(iterable) is str: return "".join(map(fun, iterable))

    – HNoob
    Jan 2 at 10:55





    I'll adopt this solution, with another case : elif type(iterable) is str: return "".join(map(fun, iterable))

    – HNoob
    Jan 2 at 10:55




    1




    1





    In case you need strings, you might want to consider to add bytes in Python3 or unicode in Python2.

    – Alfe
    Jan 2 at 10:58





    In case you need strings, you might want to consider to add bytes in Python3 or unicode in Python2.

    – Alfe
    Jan 2 at 10:58













    5














    Instantiate directly rather than via eval



    __class__ can also be used to instantiate new instances:



    def mymap(f, contener):
    t = contener.__class__
    return t(map(f, contener))


    This removes the need for eval, use of which is considered poor practice. As per @EliKorvigo's comment, you may prefer built-in type to a magic method:



    def mymap(f, contener):
    t = type(contener)
    return t(map(f, contener))


    As explained here and in the docs:




    The return value is a type object and generally the same object as returned by object.__class__.




    "Generally the same" should be considered "equivalent" in the case of new-style classes.



    Testing for an iterable



    You can check/test for an iterable in a couple of ways. Either use try / except to catch TypeError:



    def mymap(f, contener):
    try:
    mapper = map(f, contener)
    except TypeError:
    return 'Input object is not iterable'
    return type(contener)(mapper)


    Or use collections.Iterable:



    from collections import Iterable

    def mymap(f, contener):
    if isinstance(contener, Iterable):
    return type(contener)(map(f, contener))
    return 'Input object is not iterable'


    This works specifically because built-in classes commonly used as containers such as list, set, tuple, collections.deque, etc, can be used to instantiate instances via a lazy iterable. Exceptions exist: for example, str(map(str.upper, 'hello')) will not work as you might expect even though str instances are iterable.






    share|improve this answer





















    • 2





      I'd say, calling type(container)(map(...)) is a bit cleaner than accessing a magic attribute.

      – Eli Korvigo
      Jan 2 at 10:22








    • 1





      @PatrickArtner, It certainly works for me.

      – jpp
      Jan 2 at 10:29











    • Yepp works. Would it be wise to put a try:except: around it in case the function transforms the iterabletype to something that does not work? or is it better to let it crash if you call it with a typechanging function? mymap(lambda x: x[0], {"A":"small","Example":"that","Does":"not","Work":"!"})

      – Patrick Artner
      Jan 2 at 10:33













    • @PatrickArtner, Fair point, I added a couple of ways this can be done.

      – jpp
      Jan 2 at 10:38






    • 1





      Your try/except code catches way too many cases. Each TypeError thrown in the execution of f within the map call will be caught and misinterpreted as "Input object is not iterable".

      – Alfe
      Jan 2 at 10:51
















    5














    Instantiate directly rather than via eval



    __class__ can also be used to instantiate new instances:



    def mymap(f, contener):
    t = contener.__class__
    return t(map(f, contener))


    This removes the need for eval, use of which is considered poor practice. As per @EliKorvigo's comment, you may prefer built-in type to a magic method:



    def mymap(f, contener):
    t = type(contener)
    return t(map(f, contener))


    As explained here and in the docs:




    The return value is a type object and generally the same object as returned by object.__class__.




    "Generally the same" should be considered "equivalent" in the case of new-style classes.



    Testing for an iterable



    You can check/test for an iterable in a couple of ways. Either use try / except to catch TypeError:



    def mymap(f, contener):
    try:
    mapper = map(f, contener)
    except TypeError:
    return 'Input object is not iterable'
    return type(contener)(mapper)


    Or use collections.Iterable:



    from collections import Iterable

    def mymap(f, contener):
    if isinstance(contener, Iterable):
    return type(contener)(map(f, contener))
    return 'Input object is not iterable'


    This works specifically because built-in classes commonly used as containers such as list, set, tuple, collections.deque, etc, can be used to instantiate instances via a lazy iterable. Exceptions exist: for example, str(map(str.upper, 'hello')) will not work as you might expect even though str instances are iterable.






    share|improve this answer





















    • 2





      I'd say, calling type(container)(map(...)) is a bit cleaner than accessing a magic attribute.

      – Eli Korvigo
      Jan 2 at 10:22








    • 1





      @PatrickArtner, It certainly works for me.

      – jpp
      Jan 2 at 10:29











    • Yepp works. Would it be wise to put a try:except: around it in case the function transforms the iterabletype to something that does not work? or is it better to let it crash if you call it with a typechanging function? mymap(lambda x: x[0], {"A":"small","Example":"that","Does":"not","Work":"!"})

      – Patrick Artner
      Jan 2 at 10:33













    • @PatrickArtner, Fair point, I added a couple of ways this can be done.

      – jpp
      Jan 2 at 10:38






    • 1





      Your try/except code catches way too many cases. Each TypeError thrown in the execution of f within the map call will be caught and misinterpreted as "Input object is not iterable".

      – Alfe
      Jan 2 at 10:51














    5












    5








    5







    Instantiate directly rather than via eval



    __class__ can also be used to instantiate new instances:



    def mymap(f, contener):
    t = contener.__class__
    return t(map(f, contener))


    This removes the need for eval, use of which is considered poor practice. As per @EliKorvigo's comment, you may prefer built-in type to a magic method:



    def mymap(f, contener):
    t = type(contener)
    return t(map(f, contener))


    As explained here and in the docs:




    The return value is a type object and generally the same object as returned by object.__class__.




    "Generally the same" should be considered "equivalent" in the case of new-style classes.



    Testing for an iterable



    You can check/test for an iterable in a couple of ways. Either use try / except to catch TypeError:



    def mymap(f, contener):
    try:
    mapper = map(f, contener)
    except TypeError:
    return 'Input object is not iterable'
    return type(contener)(mapper)


    Or use collections.Iterable:



    from collections import Iterable

    def mymap(f, contener):
    if isinstance(contener, Iterable):
    return type(contener)(map(f, contener))
    return 'Input object is not iterable'


    This works specifically because built-in classes commonly used as containers such as list, set, tuple, collections.deque, etc, can be used to instantiate instances via a lazy iterable. Exceptions exist: for example, str(map(str.upper, 'hello')) will not work as you might expect even though str instances are iterable.






    share|improve this answer















    Instantiate directly rather than via eval



    __class__ can also be used to instantiate new instances:



    def mymap(f, contener):
    t = contener.__class__
    return t(map(f, contener))


    This removes the need for eval, use of which is considered poor practice. As per @EliKorvigo's comment, you may prefer built-in type to a magic method:



    def mymap(f, contener):
    t = type(contener)
    return t(map(f, contener))


    As explained here and in the docs:




    The return value is a type object and generally the same object as returned by object.__class__.




    "Generally the same" should be considered "equivalent" in the case of new-style classes.



    Testing for an iterable



    You can check/test for an iterable in a couple of ways. Either use try / except to catch TypeError:



    def mymap(f, contener):
    try:
    mapper = map(f, contener)
    except TypeError:
    return 'Input object is not iterable'
    return type(contener)(mapper)


    Or use collections.Iterable:



    from collections import Iterable

    def mymap(f, contener):
    if isinstance(contener, Iterable):
    return type(contener)(map(f, contener))
    return 'Input object is not iterable'


    This works specifically because built-in classes commonly used as containers such as list, set, tuple, collections.deque, etc, can be used to instantiate instances via a lazy iterable. Exceptions exist: for example, str(map(str.upper, 'hello')) will not work as you might expect even though str instances are iterable.







    share|improve this answer














    share|improve this answer



    share|improve this answer








    edited Jan 2 at 10:57

























    answered Jan 2 at 10:16









    jppjpp

    102k2165115




    102k2165115








    • 2





      I'd say, calling type(container)(map(...)) is a bit cleaner than accessing a magic attribute.

      – Eli Korvigo
      Jan 2 at 10:22








    • 1





      @PatrickArtner, It certainly works for me.

      – jpp
      Jan 2 at 10:29











    • Yepp works. Would it be wise to put a try:except: around it in case the function transforms the iterabletype to something that does not work? or is it better to let it crash if you call it with a typechanging function? mymap(lambda x: x[0], {"A":"small","Example":"that","Does":"not","Work":"!"})

      – Patrick Artner
      Jan 2 at 10:33













    • @PatrickArtner, Fair point, I added a couple of ways this can be done.

      – jpp
      Jan 2 at 10:38






    • 1





      Your try/except code catches way too many cases. Each TypeError thrown in the execution of f within the map call will be caught and misinterpreted as "Input object is not iterable".

      – Alfe
      Jan 2 at 10:51














    • 2





      I'd say, calling type(container)(map(...)) is a bit cleaner than accessing a magic attribute.

      – Eli Korvigo
      Jan 2 at 10:22








    • 1





      @PatrickArtner, It certainly works for me.

      – jpp
      Jan 2 at 10:29











    • Yepp works. Would it be wise to put a try:except: around it in case the function transforms the iterabletype to something that does not work? or is it better to let it crash if you call it with a typechanging function? mymap(lambda x: x[0], {"A":"small","Example":"that","Does":"not","Work":"!"})

      – Patrick Artner
      Jan 2 at 10:33













    • @PatrickArtner, Fair point, I added a couple of ways this can be done.

      – jpp
      Jan 2 at 10:38






    • 1





      Your try/except code catches way too many cases. Each TypeError thrown in the execution of f within the map call will be caught and misinterpreted as "Input object is not iterable".

      – Alfe
      Jan 2 at 10:51








    2




    2





    I'd say, calling type(container)(map(...)) is a bit cleaner than accessing a magic attribute.

    – Eli Korvigo
    Jan 2 at 10:22







    I'd say, calling type(container)(map(...)) is a bit cleaner than accessing a magic attribute.

    – Eli Korvigo
    Jan 2 at 10:22






    1




    1





    @PatrickArtner, It certainly works for me.

    – jpp
    Jan 2 at 10:29





    @PatrickArtner, It certainly works for me.

    – jpp
    Jan 2 at 10:29













    Yepp works. Would it be wise to put a try:except: around it in case the function transforms the iterabletype to something that does not work? or is it better to let it crash if you call it with a typechanging function? mymap(lambda x: x[0], {"A":"small","Example":"that","Does":"not","Work":"!"})

    – Patrick Artner
    Jan 2 at 10:33







    Yepp works. Would it be wise to put a try:except: around it in case the function transforms the iterabletype to something that does not work? or is it better to let it crash if you call it with a typechanging function? mymap(lambda x: x[0], {"A":"small","Example":"that","Does":"not","Work":"!"})

    – Patrick Artner
    Jan 2 at 10:33















    @PatrickArtner, Fair point, I added a couple of ways this can be done.

    – jpp
    Jan 2 at 10:38





    @PatrickArtner, Fair point, I added a couple of ways this can be done.

    – jpp
    Jan 2 at 10:38




    1




    1





    Your try/except code catches way too many cases. Each TypeError thrown in the execution of f within the map call will be caught and misinterpreted as "Input object is not iterable".

    – Alfe
    Jan 2 at 10:51





    Your try/except code catches way too many cases. Each TypeError thrown in the execution of f within the map call will be caught and misinterpreted as "Input object is not iterable".

    – Alfe
    Jan 2 at 10:51











    1















    I search a kind of "fmap" in haskell, but in python3




    First, let's discuss Haskell's fmap to understand, why it behaves the way it does, though I assume you are fairly familiar with Haskell considering the question. fmap is a generic method defined in the Functor type-class:



    class Functor f where
    fmap :: (a -> b) -> f a -> f b
    ...


    Functors obey several important mathematical laws and have several methods derived from fmap, though the latter is sufficient for a minimal complete functor instance. In other words, in Haskell types belonging to the Functor type-class implement their own fmap functions (moreover, Haskell types can have multiple Functor implementations via newtype definitions). In Python we don't have type-classes, though we do have classes that, while less convenient in this case, allow us to simulate this behaviour. Unfortunately, with classes we can't add functionality to an already defined class without subclassing, which limits our ability to implement a generic fmap for all builtin types, though we can overcome it by explicitly checking for acceptable iterable types in our fmap implementation. It's also literally impossible to express higher-kinded types using Python's type system, but I digress.



    To summarise, we've got several options:




    1. Support all Iterable types (@jpp's solution). It relies on constructors to convert an iterator returned by Python's map back into the original type. That is the duty of applying a function over the values inside a container is taken away from the container. This approach differs drastically from the functor interface: functors are supposed to handle the mapping themselves and handle additional metadata crucial to reconstruct the container.

    2. Support a subset of readily mappable builtin iterable types (i.e. builtins that don't carry any important metadata). This solution is implemented by @Alfe, and, while less generic, it is safer.

    3. Take solution #2 and add support for proper user-defined functors.


    This is my take on the third solution



    import abc
    from typing import Generic, TypeVar, Callable, Union,
    Dict, List, Tuple, Set, Text

    A = TypeVar('A')
    B = TypeVar('B')


    class Functor(Generic[A], metaclass=abc.ABCMeta):

    @abc.abstractmethod
    def fmap(self, f: Callable[[A], B]) -> 'Functor[B]':
    raise NotImplemented


    FMappable = Union[Functor, List, Tuple, Set, Dict, Text]


    def fmap(f: Callable[[A], B], fmappable: FMappable) -> FMappable:
    if isinstance(fmappable, Functor):
    return fmappable.fmap(f)
    if isinstance(fmappable, (List, Tuple, Set, Text)):
    return type(fmappable)(map(f, fmappable))
    if isinstance(fmappable, Dict):
    return type(fmappable)(
    (key, f(value)) for key, value in fmappable.items()
    )
    raise TypeError('argument fmappable is not an instance of FMappable')


    Here is a demo



    In [20]: import pandas as pd                                                                        

    In [21]: class FSeries(pd.Series, Functor):
    ...:
    ...: def fmap(self, f):
    ...: return self.apply(f).astype(self.dtype)
    ...:

    In [22]: fmap(lambda x: x * 2, [1, 2, 3])
    Out[22]: [2, 4, 6]

    In [23]: fmap(lambda x: x * 2, {'one': 1, 'two': 2, 'three': 3})
    Out[23]: {'one': 2, 'two': 4, 'three': 6}

    In [24]: fmap(lambda x: x * 2, FSeries([1, 2, 3], index=['one', 'two', 'three']))
    Out[24]:
    one 2
    two 4
    three 6
    dtype: int64

    In [25]: fmap(lambda x: x * 2, pd.Series([1, 2, 3], index=['one', 'two', 'three']))
    ---------------------------------------------------------------------------
    TypeError Traceback (most recent call last)
    <ipython-input-27-1c4524f8e4b1> in <module>
    ----> 1 fmap(lambda x: x * 2, pd.Series([1, 2, 3], index=['one', 'two', 'three']))

    <ipython-input-7-53b2d5fda1bf> in fmap(f, fmappable)
    34 if isinstance(fmappable, Functor):
    35 return fmappable.fmap(f)
    ---> 36 raise TypeError('argument fmappable is not an instance of FMappable')
    37
    38

    TypeError: argument fmappable is not an instance of FMappable


    This solution allows us to define multiple functors for the same type via subclassing:



    In [26]: class FDict(dict, Functor):
    ...:
    ...: def fmap(self, f):
    ...: return {f(key): value for key, value in self.items()}
    ...:
    ...:

    In [27]: fmap(lambda x: x * 2, FDict({'one': 1, 'two': 2, 'three': 3}))
    Out[27]: {'oneone': 1, 'twotwo': 2, 'threethree': 3}





    share|improve this answer






























      1















      I search a kind of "fmap" in haskell, but in python3




      First, let's discuss Haskell's fmap to understand, why it behaves the way it does, though I assume you are fairly familiar with Haskell considering the question. fmap is a generic method defined in the Functor type-class:



      class Functor f where
      fmap :: (a -> b) -> f a -> f b
      ...


      Functors obey several important mathematical laws and have several methods derived from fmap, though the latter is sufficient for a minimal complete functor instance. In other words, in Haskell types belonging to the Functor type-class implement their own fmap functions (moreover, Haskell types can have multiple Functor implementations via newtype definitions). In Python we don't have type-classes, though we do have classes that, while less convenient in this case, allow us to simulate this behaviour. Unfortunately, with classes we can't add functionality to an already defined class without subclassing, which limits our ability to implement a generic fmap for all builtin types, though we can overcome it by explicitly checking for acceptable iterable types in our fmap implementation. It's also literally impossible to express higher-kinded types using Python's type system, but I digress.



      To summarise, we've got several options:




      1. Support all Iterable types (@jpp's solution). It relies on constructors to convert an iterator returned by Python's map back into the original type. That is the duty of applying a function over the values inside a container is taken away from the container. This approach differs drastically from the functor interface: functors are supposed to handle the mapping themselves and handle additional metadata crucial to reconstruct the container.

      2. Support a subset of readily mappable builtin iterable types (i.e. builtins that don't carry any important metadata). This solution is implemented by @Alfe, and, while less generic, it is safer.

      3. Take solution #2 and add support for proper user-defined functors.


      This is my take on the third solution



      import abc
      from typing import Generic, TypeVar, Callable, Union,
      Dict, List, Tuple, Set, Text

      A = TypeVar('A')
      B = TypeVar('B')


      class Functor(Generic[A], metaclass=abc.ABCMeta):

      @abc.abstractmethod
      def fmap(self, f: Callable[[A], B]) -> 'Functor[B]':
      raise NotImplemented


      FMappable = Union[Functor, List, Tuple, Set, Dict, Text]


      def fmap(f: Callable[[A], B], fmappable: FMappable) -> FMappable:
      if isinstance(fmappable, Functor):
      return fmappable.fmap(f)
      if isinstance(fmappable, (List, Tuple, Set, Text)):
      return type(fmappable)(map(f, fmappable))
      if isinstance(fmappable, Dict):
      return type(fmappable)(
      (key, f(value)) for key, value in fmappable.items()
      )
      raise TypeError('argument fmappable is not an instance of FMappable')


      Here is a demo



      In [20]: import pandas as pd                                                                        

      In [21]: class FSeries(pd.Series, Functor):
      ...:
      ...: def fmap(self, f):
      ...: return self.apply(f).astype(self.dtype)
      ...:

      In [22]: fmap(lambda x: x * 2, [1, 2, 3])
      Out[22]: [2, 4, 6]

      In [23]: fmap(lambda x: x * 2, {'one': 1, 'two': 2, 'three': 3})
      Out[23]: {'one': 2, 'two': 4, 'three': 6}

      In [24]: fmap(lambda x: x * 2, FSeries([1, 2, 3], index=['one', 'two', 'three']))
      Out[24]:
      one 2
      two 4
      three 6
      dtype: int64

      In [25]: fmap(lambda x: x * 2, pd.Series([1, 2, 3], index=['one', 'two', 'three']))
      ---------------------------------------------------------------------------
      TypeError Traceback (most recent call last)
      <ipython-input-27-1c4524f8e4b1> in <module>
      ----> 1 fmap(lambda x: x * 2, pd.Series([1, 2, 3], index=['one', 'two', 'three']))

      <ipython-input-7-53b2d5fda1bf> in fmap(f, fmappable)
      34 if isinstance(fmappable, Functor):
      35 return fmappable.fmap(f)
      ---> 36 raise TypeError('argument fmappable is not an instance of FMappable')
      37
      38

      TypeError: argument fmappable is not an instance of FMappable


      This solution allows us to define multiple functors for the same type via subclassing:



      In [26]: class FDict(dict, Functor):
      ...:
      ...: def fmap(self, f):
      ...: return {f(key): value for key, value in self.items()}
      ...:
      ...:

      In [27]: fmap(lambda x: x * 2, FDict({'one': 1, 'two': 2, 'three': 3}))
      Out[27]: {'oneone': 1, 'twotwo': 2, 'threethree': 3}





      share|improve this answer




























        1












        1








        1








        I search a kind of "fmap" in haskell, but in python3




        First, let's discuss Haskell's fmap to understand, why it behaves the way it does, though I assume you are fairly familiar with Haskell considering the question. fmap is a generic method defined in the Functor type-class:



        class Functor f where
        fmap :: (a -> b) -> f a -> f b
        ...


        Functors obey several important mathematical laws and have several methods derived from fmap, though the latter is sufficient for a minimal complete functor instance. In other words, in Haskell types belonging to the Functor type-class implement their own fmap functions (moreover, Haskell types can have multiple Functor implementations via newtype definitions). In Python we don't have type-classes, though we do have classes that, while less convenient in this case, allow us to simulate this behaviour. Unfortunately, with classes we can't add functionality to an already defined class without subclassing, which limits our ability to implement a generic fmap for all builtin types, though we can overcome it by explicitly checking for acceptable iterable types in our fmap implementation. It's also literally impossible to express higher-kinded types using Python's type system, but I digress.



        To summarise, we've got several options:




        1. Support all Iterable types (@jpp's solution). It relies on constructors to convert an iterator returned by Python's map back into the original type. That is the duty of applying a function over the values inside a container is taken away from the container. This approach differs drastically from the functor interface: functors are supposed to handle the mapping themselves and handle additional metadata crucial to reconstruct the container.

        2. Support a subset of readily mappable builtin iterable types (i.e. builtins that don't carry any important metadata). This solution is implemented by @Alfe, and, while less generic, it is safer.

        3. Take solution #2 and add support for proper user-defined functors.


        This is my take on the third solution



        import abc
        from typing import Generic, TypeVar, Callable, Union,
        Dict, List, Tuple, Set, Text

        A = TypeVar('A')
        B = TypeVar('B')


        class Functor(Generic[A], metaclass=abc.ABCMeta):

        @abc.abstractmethod
        def fmap(self, f: Callable[[A], B]) -> 'Functor[B]':
        raise NotImplemented


        FMappable = Union[Functor, List, Tuple, Set, Dict, Text]


        def fmap(f: Callable[[A], B], fmappable: FMappable) -> FMappable:
        if isinstance(fmappable, Functor):
        return fmappable.fmap(f)
        if isinstance(fmappable, (List, Tuple, Set, Text)):
        return type(fmappable)(map(f, fmappable))
        if isinstance(fmappable, Dict):
        return type(fmappable)(
        (key, f(value)) for key, value in fmappable.items()
        )
        raise TypeError('argument fmappable is not an instance of FMappable')


        Here is a demo



        In [20]: import pandas as pd                                                                        

        In [21]: class FSeries(pd.Series, Functor):
        ...:
        ...: def fmap(self, f):
        ...: return self.apply(f).astype(self.dtype)
        ...:

        In [22]: fmap(lambda x: x * 2, [1, 2, 3])
        Out[22]: [2, 4, 6]

        In [23]: fmap(lambda x: x * 2, {'one': 1, 'two': 2, 'three': 3})
        Out[23]: {'one': 2, 'two': 4, 'three': 6}

        In [24]: fmap(lambda x: x * 2, FSeries([1, 2, 3], index=['one', 'two', 'three']))
        Out[24]:
        one 2
        two 4
        three 6
        dtype: int64

        In [25]: fmap(lambda x: x * 2, pd.Series([1, 2, 3], index=['one', 'two', 'three']))
        ---------------------------------------------------------------------------
        TypeError Traceback (most recent call last)
        <ipython-input-27-1c4524f8e4b1> in <module>
        ----> 1 fmap(lambda x: x * 2, pd.Series([1, 2, 3], index=['one', 'two', 'three']))

        <ipython-input-7-53b2d5fda1bf> in fmap(f, fmappable)
        34 if isinstance(fmappable, Functor):
        35 return fmappable.fmap(f)
        ---> 36 raise TypeError('argument fmappable is not an instance of FMappable')
        37
        38

        TypeError: argument fmappable is not an instance of FMappable


        This solution allows us to define multiple functors for the same type via subclassing:



        In [26]: class FDict(dict, Functor):
        ...:
        ...: def fmap(self, f):
        ...: return {f(key): value for key, value in self.items()}
        ...:
        ...:

        In [27]: fmap(lambda x: x * 2, FDict({'one': 1, 'two': 2, 'three': 3}))
        Out[27]: {'oneone': 1, 'twotwo': 2, 'threethree': 3}





        share|improve this answer
















        I search a kind of "fmap" in haskell, but in python3




        First, let's discuss Haskell's fmap to understand, why it behaves the way it does, though I assume you are fairly familiar with Haskell considering the question. fmap is a generic method defined in the Functor type-class:



        class Functor f where
        fmap :: (a -> b) -> f a -> f b
        ...


        Functors obey several important mathematical laws and have several methods derived from fmap, though the latter is sufficient for a minimal complete functor instance. In other words, in Haskell types belonging to the Functor type-class implement their own fmap functions (moreover, Haskell types can have multiple Functor implementations via newtype definitions). In Python we don't have type-classes, though we do have classes that, while less convenient in this case, allow us to simulate this behaviour. Unfortunately, with classes we can't add functionality to an already defined class without subclassing, which limits our ability to implement a generic fmap for all builtin types, though we can overcome it by explicitly checking for acceptable iterable types in our fmap implementation. It's also literally impossible to express higher-kinded types using Python's type system, but I digress.



        To summarise, we've got several options:




        1. Support all Iterable types (@jpp's solution). It relies on constructors to convert an iterator returned by Python's map back into the original type. That is the duty of applying a function over the values inside a container is taken away from the container. This approach differs drastically from the functor interface: functors are supposed to handle the mapping themselves and handle additional metadata crucial to reconstruct the container.

        2. Support a subset of readily mappable builtin iterable types (i.e. builtins that don't carry any important metadata). This solution is implemented by @Alfe, and, while less generic, it is safer.

        3. Take solution #2 and add support for proper user-defined functors.


        This is my take on the third solution



        import abc
        from typing import Generic, TypeVar, Callable, Union,
        Dict, List, Tuple, Set, Text

        A = TypeVar('A')
        B = TypeVar('B')


        class Functor(Generic[A], metaclass=abc.ABCMeta):

        @abc.abstractmethod
        def fmap(self, f: Callable[[A], B]) -> 'Functor[B]':
        raise NotImplemented


        FMappable = Union[Functor, List, Tuple, Set, Dict, Text]


        def fmap(f: Callable[[A], B], fmappable: FMappable) -> FMappable:
        if isinstance(fmappable, Functor):
        return fmappable.fmap(f)
        if isinstance(fmappable, (List, Tuple, Set, Text)):
        return type(fmappable)(map(f, fmappable))
        if isinstance(fmappable, Dict):
        return type(fmappable)(
        (key, f(value)) for key, value in fmappable.items()
        )
        raise TypeError('argument fmappable is not an instance of FMappable')


        Here is a demo



        In [20]: import pandas as pd                                                                        

        In [21]: class FSeries(pd.Series, Functor):
        ...:
        ...: def fmap(self, f):
        ...: return self.apply(f).astype(self.dtype)
        ...:

        In [22]: fmap(lambda x: x * 2, [1, 2, 3])
        Out[22]: [2, 4, 6]

        In [23]: fmap(lambda x: x * 2, {'one': 1, 'two': 2, 'three': 3})
        Out[23]: {'one': 2, 'two': 4, 'three': 6}

        In [24]: fmap(lambda x: x * 2, FSeries([1, 2, 3], index=['one', 'two', 'three']))
        Out[24]:
        one 2
        two 4
        three 6
        dtype: int64

        In [25]: fmap(lambda x: x * 2, pd.Series([1, 2, 3], index=['one', 'two', 'three']))
        ---------------------------------------------------------------------------
        TypeError Traceback (most recent call last)
        <ipython-input-27-1c4524f8e4b1> in <module>
        ----> 1 fmap(lambda x: x * 2, pd.Series([1, 2, 3], index=['one', 'two', 'three']))

        <ipython-input-7-53b2d5fda1bf> in fmap(f, fmappable)
        34 if isinstance(fmappable, Functor):
        35 return fmappable.fmap(f)
        ---> 36 raise TypeError('argument fmappable is not an instance of FMappable')
        37
        38

        TypeError: argument fmappable is not an instance of FMappable


        This solution allows us to define multiple functors for the same type via subclassing:



        In [26]: class FDict(dict, Functor):
        ...:
        ...: def fmap(self, f):
        ...: return {f(key): value for key, value in self.items()}
        ...:
        ...:

        In [27]: fmap(lambda x: x * 2, FDict({'one': 1, 'two': 2, 'three': 3}))
        Out[27]: {'oneone': 1, 'twotwo': 2, 'threethree': 3}






        share|improve this answer














        share|improve this answer



        share|improve this answer








        edited Mar 12 at 15:10

























        answered Jan 2 at 13:31









        Eli KorvigoEli Korvigo

        6,18623054




        6,18623054






























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