




'''simple docstring'''





import numpy as np
import requests





def 	__a	(   )						-> Tuple:

     """simple docstring"""




     _snake_case							=      requests.get(
         "https://raw.githubusercontent.com/yashLadha/The_Math_of_Intelligence/"
         "master/Week1/ADRvsRating.csv"    )
     _snake_case							=      response.text.splitlines()
     _snake_case							=      []
     for item in lines:
          _snake_case							=      item.split(","    )
          data.append(lowerCAmelCase_    )
     data.pop(0    )  # This is for removing the labels from the list
     _snake_case							=      np.matrix(lowerCAmelCase_    )
     return dataset





def 	__a	(   _UpperCamelCase:    List[Any]					,						_UpperCamelCase:    Dict					,						_UpperCamelCase:    Any					,						_UpperCamelCase:    Optional[int]					,						_UpperCamelCase:    Any    )						-> int:

     """simple docstring"""




     _snake_case							=      len_data

     _snake_case							=      np.dot(lowerCAmelCase_					,						data_x.transpose()    )
     prod -= data_y.transpose()
     _snake_case							=      np.dot(lowerCAmelCase_					,						lowerCAmelCase_    )
     _snake_case							=      theta - (alpha / n) * sum_grad
     return theta





def 	__a	(   _UpperCamelCase:    Optional[Any]					,						_UpperCamelCase:    Union[str, Any]					,						_UpperCamelCase:    List[str]					,						_UpperCamelCase:    Optional[Any]    )						-> Union[str, Any]:

     """simple docstring"""




     _snake_case							=      np.dot(lowerCAmelCase_					,						data_x.transpose()    )
     prod -= data_y.transpose()
     _snake_case							=      np.sum(np.square(lowerCAmelCase_    )    )
     _snake_case							=      sum_elem / (2 * len_data)
     return error





def 	__a	(   _UpperCamelCase:    List[Any]					,						_UpperCamelCase:    int    )						-> Any:

     """simple docstring"""




     _snake_case							=      100_000
     _snake_case							=      0.0001550

     _snake_case							=      data_x.shape[1]
     _snake_case							=      data_x.shape[0] - 1

     _snake_case							=      np.zeros((1, no_features)    )

     for i in range(0					,						lowerCAmelCase_    ):
          _snake_case							=      run_steep_gradient_descent(lowerCAmelCase_					,						lowerCAmelCase_					,						lowerCAmelCase_					,						lowerCAmelCase_					,						lowerCAmelCase_    )
          _snake_case							=      sum_of_square_error(lowerCAmelCase_					,						lowerCAmelCase_					,						lowerCAmelCase_					,						lowerCAmelCase_    )
          print(F"""At Iteration {i + 1} - Error is {error:.5f}"""    )

     return theta





def 	__a	(   _UpperCamelCase:    Optional[Any]					,						_UpperCamelCase:    Dict    )						-> List[Any]:

     """simple docstring"""




     _snake_case							=      sum(abs(y - predicted_y[i]    ) for i, y in enumerate(lowerCAmelCase_    )    )
     return total / len(lowerCAmelCase_    )





def 	__a	(   )						-> List[Any]:

     """simple docstring"""




     _snake_case							=      collect_dataset()

     _snake_case							=      data.shape[0]
     _snake_case							=      np.c_[np.ones(lowerCAmelCase_    ), data[:, :-1]].astype(lowerCAmelCase_    )
     _snake_case							=      data[:, -1].astype(lowerCAmelCase_    )

     _snake_case							=      run_linear_regression(lowerCAmelCase_					,						lowerCAmelCase_    )
     _snake_case							=      theta.shape[1]
     print("Resultant Feature vector : "    )
     for i in range(0					,						lowerCAmelCase_    ):
          print(F"""{theta[0, i]:.5f}"""    )


if __name__ == "__main__":
   main()







def        __a     (    lowerCAmelCase_   :					list				)      -> bool:






						'''simple docstring'''



						if not isinstance(lowerCAmelCase_			,lowerCAmelCase_				):
												raise ValueError("""Input series is not valid, valid series - [1, 2/3, 2]"""				)
						if len(lowerCAmelCase_				) == 0:
												raise ValueError("""Input list must be a non empty list"""				)
						if len(lowerCAmelCase_				) == 1 and series[0] != 0:
												return True
						UpperCAmelCase_=   []
						UpperCAmelCase_=   len(lowerCAmelCase_				)
						for i in range(0			,lowerCAmelCase_				):
												if series[i] == 0:
																		raise ValueError("""Input series cannot have 0 as an element"""				)
												rec_series.append(1 / series[i]				)
						UpperCAmelCase_=   rec_series[1] - rec_series[0]
						for index in range(2			,lowerCAmelCase_				):
												if rec_series[index] - rec_series[index - 1] != common_diff:
																		return False
						return True



def        __a     (    lowerCAmelCase_   :					list				)      -> float:






						'''simple docstring'''



						if not isinstance(lowerCAmelCase_			,lowerCAmelCase_				):
												raise ValueError("""Input series is not valid, valid series - [2, 4, 6]"""				)
						if len(lowerCAmelCase_				) == 0:
												raise ValueError("""Input list must be a non empty list"""				)
						UpperCAmelCase_=   0
						for val in series:
												answer += 1 / val
						return len(lowerCAmelCase_				) / answer


if __name__ == "__main__":
	import doctest

	doctest.testmod()




