






"""simple docstring"""







import matplotlib.pyplot as plt
import numpy as np

def _a (		_snake_case      ,       _snake_case      ,       _snake_case							):







      """simple docstring"""






      UpperCAmelCase							=       len(_snake_case							)  # Number of training samples
      UpperCAmelCase							=       np.eye(_snake_case							)  # Initialize weights as identity matrix
      for j in range(_snake_case							):
            UpperCAmelCase							=       point - x_train[j]
            UpperCAmelCase							=       np.exp(diff @ diff.T / (-2.0 * tau**2)							)

      return weights

def _a (		_snake_case      ,       _snake_case      ,       _snake_case      ,       _snake_case							):







      """simple docstring"""






      UpperCAmelCase							=       weight_matrix(_snake_case      ,       _snake_case      ,       _snake_case							)
      UpperCAmelCase							=       np.linalg.inv(x_train.T @ weight_mat @ x_train							) @ (
          x_train.T @ weight_mat @ y_train.T
      )

      return weight

def _a (		_snake_case      ,       _snake_case      ,       _snake_case							):







      """simple docstring"""






      UpperCAmelCase							=       np.zeros(len(_snake_case							)							)  # Initialize array of predictions
      for i, item in enumerate(_snake_case							):
            UpperCAmelCase							=       item @ local_weight(_snake_case      ,       _snake_case      ,       _snake_case      ,       _snake_case							)

      return y_pred

def _a (		_snake_case      ,       _snake_case      ,       _snake_case							):







      """simple docstring"""






      import seaborn as sns

      UpperCAmelCase							=       sns.load_dataset(_snake_case							)
      UpperCAmelCase							=       np.array(data[x_name]							)
      UpperCAmelCase							=       np.array(data[y_name]							)

      UpperCAmelCase							=       np.ones(len(_snake_case							)							)

      # pairing elements of one and x_data
      UpperCAmelCase							=       np.column_stack((one, x_data)							)

      return x_train, x_data, y_data

def _a (		_snake_case      ,       _snake_case      ,       _snake_case      ,       _snake_case      ,       _snake_case      ,       _snake_case      ,       ):







      """simple docstring"""






      UpperCAmelCase							=       np.sort(_snake_case      ,       axis=0							)
      plt.scatter(_snake_case      ,       _snake_case      ,       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(_snake_case							)
      plt.ylabel(_snake_case							)
      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"""







from __future__ import annotations

from typing import Generic, TypeVar

_UpperCamelCase     			=  TypeVar("""T""")







class 					lowerCamelCase__					(       Generic[T] ):






    def __init__( self	,A					):
          UpperCAmelCase							=       data  # Assign data
          UpperCAmelCase							=       None  # Initialize next as null
          UpperCAmelCase							=       None  # Initialize prev as null







class 					lowerCamelCase__					(       Generic[T] ):






    def __init__( self					):
          UpperCAmelCase							=       None






    def 				_UpperCamelCase							( self	,A					):
          if self.head is None:
                UpperCAmelCase							=       Node(A					)
          else:
                UpperCAmelCase							=       Node(A					)
                UpperCAmelCase							=       new_node
                UpperCAmelCase							=       self.head
                UpperCAmelCase							=       None
                UpperCAmelCase							=       new_node






    def 				_UpperCamelCase							( self					):
          if self.head is None:
                return None
          else:
                assert self.head is not None
                UpperCAmelCase							=       self.head.data
                UpperCAmelCase							=       self.head.next
                if self.head is not None:
                      UpperCAmelCase							=       None
                return temp






    def 				_UpperCamelCase							( self					):
          return self.head.data if self.head is not None else None






    def __len__( self					):
          UpperCAmelCase							=       self.head
          UpperCAmelCase							=       0
          while temp is not None:
                count += 1
                UpperCAmelCase							=       temp.next
          return count






    def 				_UpperCamelCase							( self					):
          return self.head is None






    def 				_UpperCamelCase							( self					):
          print("""stack elements are:"""					)
          UpperCAmelCase							=       self.head
          while temp is not None:
                print(temp.data	,end="""->"""					)
                UpperCAmelCase							=       temp.next


# Code execution starts here
if __name__ == "__main__":
  # Start with the empty stack
  _UpperCamelCase     			=  Stack()

  # Insert 4 at the beginning. So stack becomes 4->None
  print("""Stack operations using Doubly LinkedList""")
  stack.push(4)

  # Insert 5 at the beginning. So stack becomes 4->5->None
  stack.push(5)

  # Insert 6 at the beginning. So stack becomes 4->5->6->None
  stack.push(6)

  # Insert 7 at the beginning. So stack becomes 4->5->6->7->None
  stack.push(7)

  # Print the stack
  stack.print_stack()

  # Print the top element
  print("""\nTop element is """, stack.top())

  # Print the stack size
  print("""Size of the stack is """, len(stack))

  # pop the top element
  stack.pop()

  # pop the top element
  stack.pop()

  # two elements have now been popped off
  stack.print_stack()

  # Print True if the stack is empty else False
  print("""\nstack is empty:""", stack.is_empty())



