I am not sure if it was made clear that there is a general rule in python for 
what is HASHABLE and lists are changeable while tuples are not so the latter 
can be hashed as a simple copy of a list, albeit the contents must also be 
immutable.

The memorize function uses a dictionary to store things and thus the things are 
hashed to decide how to store it in the inner representation of a dictionary 
and anything new that you want to look up in the dictionary has similar 
considerations as it is hashed to see where in the dictionary to look for it.

Of course, if you add enough overhead and the memorize function you make gets 
relatively few requests that are identical, it may not be worthwhile.

-----Original Message-----
From: Python-list <python-list-bounces+avi.e.gross=gmail....@python.org> On 
Behalf Of MRAB via Python-list
Sent: Sunday, March 31, 2024 3:24 PM
To: python-list@python.org
Subject: Re: Can you help me with this memoization simple example?

On 2024-03-31 09:04, marc nicole wrote:
> Thanks for the first comment which I incorporated
>
> but when you say "You can't use a list as a key, but you can use a 
> tuple as a key,
> provided that the elements of the tuple are also immutable."
>
> does it mean  the result of sum of the array is not convenient to use 
> as key as I do?
> Which tuple I should use to refer to the underlying list value as you 
> suggest?
>
I was suggesting using `tuple` on the argument:

def memoize(f):
      cache = {}

      def g(*args):
          key = tuple(args[0]), args[1]

          if key not in cache:
              cache[key] = f(args[0], args[1])

          return cache[key]

      return g

> Anything else is good in my code ?
>
> Thanks
>
> Le dim. 31 mars 2024 à 01:44, MRAB via Python-list 
> <python-list@python.org> a écrit :
>
>     On 2024-03-31 00:09, marc nicole via Python-list wrote:
>     > I am creating a memoization example with a function that adds up
>     / averages
>     > the elements of an array and compares it with the cached ones to
>     retrieve
>     > them in case they are already stored.
>     >
>     > In addition, I want to store only if the result of the function
>     differs
>     > considerably (passes a threshold e.g. 500000 below).
>     >
>     > I created an example using a decorator to do so, the results
>     using the
>     > decorator is slightly faster than without the memoization which
>     is OK, but
>     > is the logic of the decorator correct ? anybody can tell me ?
>     >
>     > My code is attached below:
>     >
>     >
>     >
>     > import time
>     >
>     >
>     > def memoize(f):
>     >      cache = {}
>     >
>     >      def g(*args):
>     >          if args[1] == "avg":
>     >              sum_key_arr = sum(list(args[0])) / len(list(args[0]))
>
>     'list' will iterate over args[0] to make a list, and 'sum' will
>     iterate
>     over that list.
>
>     It would be simpler to just let 'sum' iterate over args[0].
>
>     >          elif args[1] == "sum":
>     >              sum_key_arr = sum(list(args[0]))
>     >          if sum_key_arr not in cache:
>     >              for (
>     >                  key,
>     >                  value,
>     >              ) in (
>     >                  cache.items()
>     >              ):  # key in dict cannot be an array so I use the
>     sum of the
>     > array as the key
>
>     You can't use a list as a key, but you can use a tuple as a key,
>     provided that the elements of the tuple are also immutable.
>
>     >                  if (
>     >                      abs(sum_key_arr - key) <= 500000
>     >                  ):  # threshold is great here so that all
>     values are
>     > approximated!
>     >                      # print('approximated')
>     >                      return cache[key]
>     >              else:
>     >                  # print('not approximated')
>     >                  cache[sum_key_arr] = f(args[0], args[1])
>     >          return cache[sum_key_arr]
>     >
>     >      return g
>     >
>     >
>     > @memoize
>     > def aggregate(dict_list_arr, operation):
>     >      if operation == "avg":
>     >          return sum(list(dict_list_arr)) / len(list(dict_list_arr))
>     >      if operation == "sum":
>     >          return sum(list(dict_list_arr))
>     >      return None
>     >
>     >
>     > t = time.time()
>     > for i in range(200, 15000):
>     >      res = aggregate(list(range(i)), "avg")
>     >
>     > elapsed = time.time() - t
>     > print(res)
>     > print(elapsed)
>
>
>     -- 
>     https://mail.python.org/mailman/listinfo/python-list
>
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