ExactComputer Refactor Types and Making n_players optional. (#450)

* makes n_players optional

* adds tests for new behaviour

* refactored ExactComputer to be type safe and closes

* adds tests for checking wrong indices

* updates CHANGELOG.md

* fixed broken tests

Author: mmschlk

CHANGELOG.md

@@ -20,6 +20,7 @@ This restructuring aims to improve maintainability and development scalability.
 ### Maintenance and Development
 - refactored the `shapiq.Games` and `shapiq.InteractionValues` API by adding an interactions and game_values dictionary as the main data structure to store the interaction scores and game values. This allows for more efficient storage and retrieval of interaction values and game values, as well as easier manipulation of the data. [#419](https://github.com/mmschlk/shapiq/pull/419)
 - addition and subtraction of InteractionValues objects (via `shapiq.InteractionValues.__add__`) now also works for different indices, which will raise a warning and will return a new InteractionValues object with the index set of the first. [#422](https://github.com/mmschlk/shapiq/pull/422)
+- refactors the `shapiq.ExactComputer` to allow for initialization without passing n_players when a `shapiq.Game` object is passed [#388](https://github.com/mmschlk/shapiq/issues/388). Also introduces a tighter type hinting for the `index` parameter using `Literal` types. [#450](https://github.com/mmschlk/shapiq/pull/450)
 
 ### Docs
 - added an example notebook for `InteractionValues`, highlighting *Initialization*, *Modification*, *Visualization* and *Save and Loading*.

examples/api_examples/interaction_values.ipynb

@@ -122,9 +122,9 @@
     }
    ],
    "source": [
-    "from shapiq.game_theory.indices import ALL_AVAILABLE_INDICES\n",
+    "from shapiq.game_theory.indices import AllIndices\n",
     "\n",
-    "ALL_AVAILABLE_INDICES"
+    "AllIndices"
    ]
   },
   {

src/shapiq/game.py

@@ -27,6 +27,7 @@
         CoalitionTuple,
         GameScores,
         GameValues,
+        IndexType,
         JSONType,
         MetadataBlock,
     )
@@ -712,7 +713,7 @@ def __str__(self) -> str:
         """Return a string representation of the game."""
         return self.__repr__()
 
-    def exact_values(self, index: str, order: int) -> InteractionValues:
+    def exact_values(self, index: IndexType, order: int) -> InteractionValues:
         """Uses the ExactComputer to compute the exact interaction values.
 
         Args:
@@ -733,7 +734,7 @@ def exact_values(self, index: str, order: int) -> InteractionValues:
                 stacklevel=2,
             )
 
-        exact_computer = ExactComputer(self.n_players, game=self)
+        exact_computer = ExactComputer(game=self, n_players=self.n_players)
         return exact_computer(index=index, order=order)
 
     @property