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# Overview

## High-level description

This file contains unit tests for the utility functions defined in `cassiopeia/mixins/utilities.py`. It tests the functionality of various utility functions related to handling ambiguous states in character matrices and finding duplicate groups.

## Symbols

### TestMixinUtilities

#### Description

This is a test class that inherits from `unittest.TestCase`. It contains several test methods to verify the functionality of utility functions from the `cassiopeia.mixins.utilities` module.

#### Internal Logic

The class defines three test methods:

1. `test_is_ambiguous_state`: Tests the `is_ambiguous_state` function.
2. `test_unravel_states`: Tests the `unravel_ambiguous_states` function.
3. `test_find_duplicated_character_states`: Tests the `find_duplicate_groups` function.

### test\_is\_ambiguous\_state

#### Description

This method tests the `is_ambiguous_state` function from the utilities module.

#### Internal Logic

* Asserts that `(1, 2)` is recognized as an ambiguous state.
* Asserts that `1` is not recognized as an ambiguous state.

### test\_unravel\_states

#### Description

This method tests the `unravel_ambiguous_states` function from the utilities module.

#### Internal Logic

* Tests the function with an array containing both ambiguous and non-ambiguous states.
* Tests the function with an array containing only non-ambiguous states.
* Asserts that the output matches the expected unraveled list in both cases.

### test\_find\_duplicated\_character\_states

#### Description

This method tests the `find_duplicate_groups` function from the utilities module.

#### Internal Logic

* Creates a sample character matrix using pandas DataFrame.
* Calls the `find_duplicate_groups` function on the character matrix.
* Checks if the returned duplicate mappings contain the expected entries.
* Verifies that the keys and values in the duplicate mappings match the expected groups.

## Dependencies

| Dependency                  | Purpose                                              |
| :-------------------------- | :--------------------------------------------------- |
| unittest                    | Provides the testing framework                       |
| pandas                      | Used to create and manipulate the character matrix   |
| cassiopeia.mixins.utilities | Module containing the utility functions being tested |

## Error Handling

The test methods use assertions to verify the correctness of the utility functions. If any assertion fails, an `AssertionError` will be raised, indicating a test failure.

## Notes

* The test file uses the `unittest` framework, which is a standard Python testing library.
* The tests cover various scenarios, including ambiguous states and duplicate character states in matrices.
* The `test_find_duplicated_character_states` method uses a complex character matrix with ambiguous states to thoroughly test the `find_duplicate_groups` function.