"""simple docstring"""




from collections.abc import Callable
from math import pi, sqrt
from random import uniform
from statistics import mean





def 							SCREAMING_SNAKE_CASE     (			_lowerCamelCase						:       int	)       ->      str:

  # A local function to see if a dot lands in the circle.
  def is_in_circle(_lowerCamelCase						:       float			,_lowerCamelCase						:       float	) -> bool:
    _lowerCAmelCase						:       Tuple  			=     sqrt((x**2) + (y**2)	)
    # Our circle has a radius of 1, so a distance
    # greater than 1 would land outside the circle.
    return distance_from_centre <= 1

  # The proportion of guesses that landed in the circle
  _lowerCAmelCase						:       List[Any]  			=     mean(
      int(is_in_circle(uniform(-1.0			,1.0	)			,uniform(-1.0			,1.0	)	)	)
      for _ in range(_lowerCamelCase	)	)
  # The ratio of the area for circle to square is pi/4.
  _lowerCAmelCase						:       Tuple  			=     proportion * 4
  print(f"The estimated value of pi is {pi_estimate}"	)
  print(f"The numpy value of pi is {pi}"	)
  print(f"The total error is {abs(pi - pi_estimate	)}"	)





def 							SCREAMING_SNAKE_CASE     (			_lowerCamelCase						:       int			,_lowerCamelCase						:       Callable[[float], float]			,_lowerCamelCase						:       float = 0.0			,_lowerCamelCase						:       float = 1.0			,)       ->      str:
  return mean(
      function_to_integrate(uniform(_lowerCamelCase			,_lowerCamelCase	)	) for _ in range(_lowerCamelCase	)	) * (max_value - min_value)





def 							SCREAMING_SNAKE_CASE     (			_lowerCamelCase						:       int			,_lowerCamelCase						:       float = 0.0			,_lowerCamelCase						:       float = 1.0	)       ->      List[str]:

  def identity_function(_lowerCamelCase						:       float	) -> float:
    return x

  _lowerCAmelCase						:       Dict  			=     area_under_curve_estimator(
      _lowerCamelCase			,_lowerCamelCase			,_lowerCamelCase			,_lowerCamelCase	)
  _lowerCAmelCase						:       Optional[Any]  			=     (max_value * max_value - min_value * min_value) / 2

  print("""******************"""	)
  print(f"Estimating area under y=x where x varies from {min_value} to {max_value}"	)
  print(f"Estimated value is {estimated_value}"	)
  print(f"Expected value is {expected_value}"	)
  print(f"Total error is {abs(estimated_value - expected_value	)}"	)
  print("""******************"""	)





def 							SCREAMING_SNAKE_CASE     (			_lowerCamelCase						:       int	)       ->      Optional[int]:

  def function_to_integrate(_lowerCamelCase						:       float	) -> float:
    return sqrt(4.0 - x * x	)

  _lowerCAmelCase						:       int  			=     area_under_curve_estimator(
      _lowerCamelCase			,_lowerCamelCase			,0.0			,2.0	)

  print("""******************"""	)
  print("""Estimating pi using area_under_curve_estimator"""	)
  print(f"Estimated value is {estimated_value}"	)
  print(f"Expected value is {pi}"	)
  print(f"Total error is {abs(estimated_value - pi	)}"	)
  print("""******************"""	)


if __name__ == "__main__":
     import doctest

     doctest.testmod()











'''simple docstring'''

from __future__ import annotations

import time

import numpy as np

__lowerCAmelCase							:	Optional[Any]			=[8, 5, 9, 7]
__lowerCAmelCase							:	Optional[int]			=[
    [2, 0, 1, 1],
    [0, 1, 2, 1],
    [4, 0, 0, 3],
    [0, 2, 1, 0],
    [1, 0, 3, 0],
]
__lowerCAmelCase							:	List[Any]			=[
    [3, 2, 1, 4],
    [0, 2, 5, 2],
    [5, 1, 0, 5],
    [1, 5, 3, 0],
    [3, 0, 3, 3],
]






class    UpperCAmelCase	:
 def __init__(				self      :Optional[int]						,       lowercase_      :list[int]						,       lowercase_      :list[list[int]]						,       lowercase_      :list[list[int]]						,       )->							None:
     A__				=			claim_vector
     A__				=			allocated_resources_table
     A__				=			maximum_claim_table
 def      UpperCAmelCase_							(				self      :Union[str, Any]							)->							list[int]:
     return [
         sum(p_item[i] for p_item in self.__allocated_resources_table							)
         for i in range(len(self.__allocated_resources_table[0]							)							)
     ]
 def      UpperCAmelCase_							(				self      :Tuple							)->							list[int]:
     return np.array(self.__claim_vector							) - np.array(
         self.__processes_resource_summation()							)
 def      UpperCAmelCase_							(				self      :Dict							)->							list[list[int]]:
     return [
         list(np.array(self.__maximum_claim_table[i]							) - np.array(lowercase_							)							)
         for i, allocated_resource in enumerate(self.__allocated_resources_table							)
     ]
 def      UpperCAmelCase_							(				self      :Any							)->							dict[int, list[int]]:
     return {self.__need().index(lowercase_							): i for i in self.__need()}
 def      UpperCAmelCase_							(				self      :Tuple						,       **lowercase_      :List[str]							)->							None:
     A__				=			self.__need()
     A__				=			self.__allocated_resources_table
     A__				=			self.__available_resources()
     A__				=			self.__need_index_manager()
     for kw, val in kwargs.items():
         if kw and val is True:
             self.__pretty_data()
     print("_" * 50 + "\n"							)
     while need_list:
         A__				=			False
         for each_need in need_list:
             A__				=			True
             for index, need in enumerate(lowercase_							):
                 if need > available_resources[index]:
                     A__				=			False
                     break
             if execution:
                 A__				=			True
                 # get the original index of the process from ind_ctrl db
                 for original_need_index, need_clone in need_index_manager.items():
                     if each_need == need_clone:
                         A__				=			original_need_index
                 print(F"Process {process_number + 1} is executing."							)
                 # remove the process run from stack
                 need_list.remove(lowercase_							)
                 # update available/freed resources stack
                 A__				=			np.array(lowercase_							) + np.array(
                     alloc_resources_table[process_number]							)
                 print(
                     "Updated available resource stack for processes: "
                     + " ".join([str(lowercase_							) for x in available_resources]							)							)
                 break
         if safe:
             print("The process is in a safe state.\n"							)
         else:
             print("System in unsafe state. Aborting...\n"							)
             break



 def      UpperCAmelCase_							(				self      :Optional[Any]							)->							Tuple:
     print(" " * 9 + "Allocated Resource Table"							)
     for item in self.__allocated_resources_table:
         print(
             F"P{self.__allocated_resources_table.index(lowercase_							) + 1}"
             + " ".join(F"{it:>8}" for it in item							)
             + "\n"							)
     print(" " * 9 + "System Resource Table"							)
     for item in self.__maximum_claim_table:
         print(
             F"P{self.__maximum_claim_table.index(lowercase_							) + 1}"
             + " ".join(F"{it:>8}" for it in item							)
             + "\n"							)
     print(
         "Current Usage by Active Processes: "
         + " ".join(str(lowercase_							) for x in self.__claim_vector							)							)
     print(
         "Initial Available Resources:       "
         + " ".join(str(lowercase_							) for x in self.__available_resources()							)							)
     time.sleep(1							)


if __name__ == "__main__":
  import doctest

  doctest.testmod()



