.map() cache is wrongfully reused - only happens when the mapping function is imported
State: open | Author: eladsegal (CONTRIBUTOR)
Labels: name: bug

## Describe the bug
When `.map` is used with a mapping function that is imported, the cache is reused even if the mapping function has been modified.
The reason for this is that `dill` that is used for creating the fingerprint [pickles imported functions by reference](https://stackoverflow.com/a/67851411).

I guess it is not a widespread case, but it can still lead to unwanted results unnoticeably. 

## Steps to reproduce the bug
Create files `a.py` and `b.py`:
```python
# a.py
from datasets import load_dataset

def main():
    squad = load_dataset("squad")
    squad.map(mapping_func, batched=True)

def mapping_func(examples):
    ID_LENGTH = 4
    examples["id"] = [id_[:ID_LENGTH] for id_ in examples["id"]]
    return examples

if __name__ == "__main__":
    main()
```
```python
# b.py
from datasets import load_dataset
from a import mapping_func

def main():
    squad = load_dataset("squad")
    squad.map(mapping_func, batched=True)

if __name__ == "__main__":
    main()
```
Run `python b.py` twice: In the first run you will see tqdm bars showing that the data is processed, and in the second run you will see "Loading cached processed dataset at...".
Now change `ID_LENGTH` to another number in order to change the mapping function, and run `python b.py` again. You'll see that `.map` loads from the cache the result of the previous mapping function.

## Expected results
Run `python a.py` twice: In the first run you will see tqdm bars showing that the data is processed, and in the second run you will see "Loading cached processed dataset at...".
Now change `ID_LENGTH` to another number in order to change the mapping function, and run `python a.py` again. You'll see that the dataset is being processed and that there's no reuse of the previous mapping function result.

## Workaround
Put the mapping function inside a dummy class as a static method:
```python
# a.py
class MappingFuncClass:
    @staticmethod
    def mapping_func(examples):
        ID_LENGTH = 4
        examples["id"] = [id_[:ID_LENGTH] for id_ in examples["id"]]
        return examples
```
```python
# b.py
from datasets import load_dataset
from a import MappingFuncClass

def main():
    squad = load_dataset("squad")
    squad.map(MappingFuncClass.mapping_func, batched=True)

if __name__ == "__main__":
    main()
```

## Environment info
<!-- You can run the command `datasets-cli env` and copy-and-paste its output below. -->
- `datasets` version: 1.15.1
- Platform: Linux-4.4.0-19041-Microsoft-x86_64-with-glibc2.17
- Python version: 3.8.10
- PyArrow version: 4.0.1


Comments: Hi ! Thanks for reporting. Indeed this is a current limitation of the usage we have of `dill` in `datasets`. I'd suggest you use your workaround for now until we find a way to fix this. Maybe functions that are not coming from a module not installed with pip should be dumped completely, rather than only taking their locations into account

I agree. Sounds like a solution for it would be pretty dirty, even [cloudpickle](https://stackoverflow.com/a/16891169) doesn't help in this case.
In the meanwhile I think that adding a warning and the workaround somewhere in the documentation can be helpful.

For anyone interested, I see that with `dill==0.3.6` the workaround I suggested doesn't work anymore.
I opened an issue about it: https://github.com/uqfoundation/dill/issues/572.