import matplotlib.pyplot as plt
import numpy as np


def SCREAMING_SNAKE_CASE					(  lowercase_:						np.ndarray		,    lowercase_:						np.ndarray		,    lowercase_:						float					):
       _UpperCamelCase  :							Tuple	    =	len(lowercase_					)  # Number of training samples
       _UpperCamelCase  :							Any	    =	np.eye(lowercase_					)  # Initialize weights as identity matrix
       for j in range(lowercase_					):
              _UpperCamelCase  :							Optional[int]	    =	point - x_train[j]
              _UpperCamelCase  :							str	    =	np.exp(diff @ diff.T / (-2.0 * tau**2)					)

       return weights


def SCREAMING_SNAKE_CASE					(  lowercase_:						np.ndarray		,    lowercase_:						np.ndarray		,    lowercase_:						np.ndarray		,    lowercase_:						float					):
       _UpperCamelCase  :							Optional[int]	    =	weight_matrix(lowercase_		,    lowercase_		,    lowercase_					)
       _UpperCamelCase  :							Tuple	    =	np.linalg.inv(x_train.T @ weight_mat @ x_train					) @ (
           x_train.T @ weight_mat @ y_train.T
       )

       return weight


def SCREAMING_SNAKE_CASE					(  lowercase_:						np.ndarray		,    lowercase_:						np.ndarray		,    lowercase_:						float					):
       _UpperCamelCase  :							Any	    =	np.zeros(len(lowercase_					)					)  # Initialize array of predictions
       for i, item in enumerate(lowercase_					):
              _UpperCamelCase  :							Any	    =	item @ local_weight(lowercase_		,    lowercase_		,    lowercase_		,    lowercase_					)

       return y_pred


def SCREAMING_SNAKE_CASE					(  lowercase_:						str		,    lowercase_:						str		,    lowercase_:						str					):
       import seaborn as sns

       _UpperCamelCase  :							List[Any]	    =	sns.load_dataset(lowercase_					)
       _UpperCamelCase  :							List[str]	    =	np.array(data[x_name]					)
       _UpperCamelCase  :							Optional[Any]	    =	np.array(data[y_name]					)

       _UpperCamelCase  :							Optional[int]	    =	np.ones(len(lowercase_					)					)

       # pairing elements of one and x_data
       _UpperCamelCase  :							Dict	    =	np.column_stack((one, x_data)					)

       return x_train, x_data, y_data


def SCREAMING_SNAKE_CASE					(  lowercase_:						np.ndarray		,    lowercase_:						np.ndarray		,    lowercase_:						np.ndarray		,    lowercase_:						np.ndarray		,    lowercase_:						str		,    lowercase_:						str		,    ):
       _UpperCamelCase  :							Tuple	    =	np.sort(lowercase_		,    axis=0					)
       plt.scatter(lowercase_		,    lowercase_		,    color='blue'					)
       plt.plot(
           x_train_sorted[:, 1]		,    preds[x_train[:, 1].argsort(0					)]		,    color='yellow'		,    linewidth=5		,    )
       plt.title('Local Weighted Regression'					)
       plt.xlabel(lowercase_					)
       plt.ylabel(lowercase_					)
       plt.show()


if __name__ == "__main__":
 import doctest

 doctest.testmod()

 # Demo with a dataset from the seaborn module
 UpperCAmelCase		,       UpperCAmelCase		,       UpperCAmelCase      		=					load_data('''tips''', '''total_bill''', '''tip''')
 UpperCAmelCase      		=					local_weight_regression(training_data_x, tip, 5)
 plot_preds(training_data_x, predictions, total_bill, tip, '''total_bill''', '''tip''')











"""simple docstring"""

import math






def _lowerCAmelCase						(	__lowerCamelCase:int ):

						'''simple docstring'''






						if number == 0:
												__magic_name__      =  "Zero"
												return words
						else:
												__magic_name__      =  math.logaa(__lowerCamelCase )
												__magic_name__      =  digits + 1
												__magic_name__      =  {}
												__magic_name__      =  ""
												__magic_name__      =  "One"
												__magic_name__      =  "Two"
												__magic_name__      =  "Three"
												__magic_name__      =  "Four"
												__magic_name__      =  "Five"
												__magic_name__      =  "Six"
												__magic_name__      =  "Seven"
												__magic_name__      =  "Eight"
												__magic_name__      =  "Nine"

												__magic_name__      =  {}
												__magic_name__      =  ""
												__magic_name__      =  "Twenty"
												__magic_name__      =  "Thirty"
												__magic_name__      =  "Forty"
												__magic_name__      =  "Fifty"
												__magic_name__      =  "Sixty"
												__magic_name__      =  "Seventy"
												__magic_name__      =  "Eighty"
												__magic_name__      =  "Ninety"

												__magic_name__      =  {}
												__magic_name__      =  "Ten"
												__magic_name__      =  "Eleven"
												__magic_name__      =  "Twelve"
												__magic_name__      =  "Thirteen"
												__magic_name__      =  "Fourteen"
												__magic_name__      =  "Fifteen"
												__magic_name__      =  "Sixteen"
												__magic_name__      =  "Seventeen"
												__magic_name__      =  "Eighteen"
												__magic_name__      =  "Nineteen"

												__magic_name__      =  {}
												__magic_name__      =  "Hundred,"
												__magic_name__      =  "Thousand,"
												__magic_name__      =  "Lakh,"
												__magic_name__      =  "Crore,"

												__magic_name__      =  number
												__magic_name__      =  ""
												__magic_name__      =  0
												__magic_name__      =  int(__lowerCamelCase )
												while counter < digits:
																		__magic_name__      =  temp_num % 1_0
																		if counter % 2 == 0:
																								__magic_name__      =  ""
																								if counter in placevalue and current != 0:
																														__magic_name__      =  placevalue[counter]
																								if counter == 2:
																														__magic_name__      =  singles[current] + addition + words
																								elif counter == 0:
																														if ((temp_num % 1_0_0) // 1_0) == 1:
																																				__magic_name__      =  teens[current] + addition + words
																																				__magic_name__      =  temp_num // 1_0
																																				counter += 1
																														else:
																																				__magic_name__      =  singles[current] + addition + words

																								else:
																														__magic_name__      =  doubles[current] + addition + words

																		else:
																								if counter == 1:
																														if current == 1:
																																				__magic_name__      =  teens[number % 1_0] + words
																														else:
																																				__magic_name__      =  ""
																																				if counter in placevalue:
																																										__magic_name__      =  placevalue[counter]
																																				__magic_name__      =  doubles[current] + addition + words
																								else:
																														__magic_name__      =  ""
																														if counter in placevalue:
																																				if current == 0 and ((temp_num % 1_0_0) // 1_0) == 0:
																																										__magic_name__      =  ""
																																				else:
																																										__magic_name__      =  placevalue[counter]
																														if ((temp_num % 1_0_0) // 1_0) == 1:
																																				__magic_name__      =  teens[current] + addition + words
																																				__magic_name__      =  temp_num // 1_0
																																				counter += 1
																														else:
																																				__magic_name__      =  singles[current] + addition + words
																		counter += 1
																		__magic_name__      =  temp_num // 1_0
						return words


if __name__ == "__main__":
			import doctest

			doctest.testmod()



