from torch import nn



def lowerCamelCase  (   SCREAMING_SNAKE_CASE	):
    '''simple docstring'''







    if act_fn in ["swish", "silu"]:
        return nn.SiLU()
    elif act_fn == "mish":
        return nn.Mish()
    elif act_fn == "gelu":
        return nn.GELU()
    else:
        raise ValueError(f"""Unsupported activation function: {act_fn}"""	)







import logging

import numpy as np
import pytest
from scipy.linalg import eigh

logging.basicConfig(level=logging.INFO, format="""%(message)s""")


def 			UpperCamelCase					(    __lowerCamelCase     : np.ndarray    ):
       return input_array.reshape((input_array.size, 1)    )


def 			UpperCamelCase					(    __lowerCamelCase     : np.ndarray				,					__lowerCamelCase     : np.ndarray				,					__lowerCamelCase     : int    ):
       snake_case       :   Any							=      np.nan
       for i in range(__lowerCamelCase    ):
              snake_case       :   List[str]							=      features[:, labels == i]
              snake_case       :   Dict							=      data.mean(1    )
              # Centralize the data of class i
              snake_case       :   Optional[Any]							=      data - column_reshape(__lowerCamelCase    )
              if i > 0:
                     # If covariance_sum is not None
                     covariance_sum += np.dot(__lowerCamelCase				,					centered_data.T    )
              else:
                     # If covariance_sum is np.nan (i.e. first loop)
                     snake_case       :   Optional[Any]							=      np.dot(__lowerCamelCase				,					centered_data.T    )

       return covariance_sum / features.shape[1]


def 			UpperCamelCase					(    __lowerCamelCase     : np.ndarray				,					__lowerCamelCase     : np.ndarray				,					__lowerCamelCase     : int    ):
       snake_case       :   Optional[Any]							=      features.mean(1    )
       snake_case       :   Tuple							=      np.nan
       for i in range(__lowerCamelCase    ):
              snake_case       :   Tuple							=      features[:, labels == i]
              snake_case       :   Tuple							=      data.shape[1]
              snake_case       :   List[str]							=      data.mean(1    )
              if i > 0:
                     # If covariance_sum is not None
                     covariance_sum += device_data * np.dot(
                         column_reshape(__lowerCamelCase    ) - column_reshape(__lowerCamelCase    )				,					(column_reshape(__lowerCamelCase    ) - column_reshape(__lowerCamelCase    )).T				,					)
              else:
                     # If covariance_sum is np.nan (i.e. first loop)
                     snake_case       :   Optional[int]							=      device_data * np.dot(
                         column_reshape(__lowerCamelCase    ) - column_reshape(__lowerCamelCase    )				,					(column_reshape(__lowerCamelCase    ) - column_reshape(__lowerCamelCase    )).T				,					)

       return covariance_sum / features.shape[1]


def 			UpperCamelCase					(    __lowerCamelCase     : np.ndarray				,					__lowerCamelCase     : int    ):

       # Check if the features have been loaded
       if features.any():
              snake_case       :   Tuple							=      features.mean(1    )
              # Center the dataset
              snake_case       :   List[str]							=      features - np.reshape(__lowerCamelCase				,					(data_mean.size, 1)    )
              snake_case       :   Optional[Any]							=      np.dot(__lowerCamelCase				,					centered_data.T    ) / features.shape[1]
              snake_case				,					snake_case       :   Dict							=      np.linalg.eigh(__lowerCamelCase    )
              # Take all the columns in the reverse order (-1), and then takes only the first
              snake_case       :   Optional[Any]							=      eigenvectors[:, ::-1][:, 0:dimensions]
              # Project the database on the new space
              snake_case       :   Union[str, Any]							=      np.dot(filtered_eigenvectors.T				,					__lowerCamelCase    )
              logging.info("Principal Component Analysis computed"    )

              return projected_data
       else:
              logging.basicConfig(level=logging.ERROR				,					format="%(message)s"				,					force=__lowerCamelCase    )
              logging.error("Dataset empty"    )
              raise AssertionError


def 			UpperCamelCase					(    __lowerCamelCase     : np.ndarray				,					__lowerCamelCase     : np.ndarray				,					__lowerCamelCase     : int				,					__lowerCamelCase     : int    ):
       assert classes > dimensions

       # Check if features have been already loaded
       if features.any:
              snake_case				,					snake_case       :   str							=      eigh(
                  covariance_between_classes(__lowerCamelCase				,					__lowerCamelCase				,					__lowerCamelCase    )				,					covariance_within_classes(__lowerCamelCase				,					__lowerCamelCase				,					__lowerCamelCase    )				,					)
              snake_case       :   str							=      eigenvectors[:, ::-1][:, :dimensions]
              snake_case				,					snake_case				,					snake_case       :   int							=      np.linalg.svd(__lowerCamelCase    )
              snake_case       :   List[Any]							=      svd_matrix[:, 0:dimensions]
              snake_case       :   Optional[Any]							=      np.dot(filtered_svd_matrix.T				,					__lowerCamelCase    )
              logging.info("Linear Discriminant Analysis computed"    )

              return projected_data
       else:
              logging.basicConfig(level=logging.ERROR				,					format="%(message)s"				,					force=__lowerCamelCase    )
              logging.error("Dataset empty"    )
              raise AssertionError


def 			UpperCamelCase					(    ):
       # Create dummy dataset with 2 classes and 3 features
       snake_case       :   str							=      np.array([[1, 2, 3, 4, 5], [2, 3, 4, 5, 6], [3, 4, 5, 6, 7]]    )
       snake_case       :   Union[str, Any]							=      np.array([0, 0, 0, 1, 1]    )
       snake_case       :   List[Any]							=      2
       snake_case       :   Any							=      2

       # Assert that the function raises an AssertionError if dimensions > classes
       with pytest.raises(__lowerCamelCase    ) as error_info:
              snake_case       :   str							=      linear_discriminant_analysis(
                  __lowerCamelCase				,					__lowerCamelCase				,					__lowerCamelCase				,					__lowerCamelCase    )
              if isinstance(__lowerCamelCase				,					np.ndarray    ):
                     raise AssertionError(
                         "Did not raise AssertionError for dimensions > classes"    )
              assert error_info.type is AssertionError


def 			UpperCamelCase					(    ):
       snake_case       :   List[str]							=      np.array([[1, 2, 3], [4, 5, 6], [7, 8, 9]]    )
       snake_case       :   List[str]							=      2
       snake_case       :   int							=      np.array([[6.9282_0323, 8.6602_5404, 10.3923_0485], [3.0, 3.0, 3.0]]    )

       with pytest.raises(__lowerCamelCase    ) as error_info:
              snake_case       :   Union[str, Any]							=      principal_component_analysis(__lowerCamelCase				,					__lowerCamelCase    )
              if not np.allclose(__lowerCamelCase				,					__lowerCamelCase    ):
                     raise AssertionError
              assert error_info.type is AssertionError


if __name__ == "__main__":
   import doctest

   doctest.testmod()





