




"""simple docstring"""

from __future__ import annotations

import time

import numpy as np

a							      =     [8, 5, 9, 7]
a							      =     [
    [2, 0, 1, 1],
    [0, 1, 2, 1],
    [4, 0, 0, 3],
    [0, 2, 1, 0],
    [1, 0, 3, 0],
]
a							      =     [
    [3, 2, 1, 4],
    [0, 2, 5, 2],
    [5, 1, 0, 5],
    [1, 5, 3, 0],
    [3, 0, 3, 3],
]





class 							lowercase_			:



 '''simple docstring'''

 def __init__(					self			:			List[str]       ,				_UpperCAmelCase			:			Any       ,				_UpperCAmelCase			:			List[str]       ,				_UpperCAmelCase			:			List[Any]       ,				):
       _A     =  claim_vector
       _A     =  allocated_resources_table
       _A     =  maximum_claim_table

 def      lowerCAmelCase_				(					self			:			List[str]						):
       return [
           sum(p_item[i] for p_item in self.__allocated_resources_table						)
           for i in range(len(self.__allocated_resources_table[0]						)						)
       ]

 def      lowerCAmelCase_				(					self			:			Tuple						):
       return np.array(self.__claim_vector						) - np.array(
           self.__processes_resource_summation()						)

 def      lowerCAmelCase_				(					self			:			List[Any]						):
       return [
           list(np.array(self.__maximum_claim_table[i]						) - np.array(_UpperCAmelCase						)						)
           for i, allocated_resource in enumerate(self.__allocated_resources_table						)
       ]

 def      lowerCAmelCase_				(					self			:			Any						):
       return {self.__need().index(_UpperCAmelCase						): i for i in self.__need()}

 def      lowerCAmelCase_				(					self			:			List[Any]       ,				**_UpperCAmelCase			:			Optional[int]						):
       _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(_UpperCAmelCase						):
                         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(_UpperCAmelCase						)
                         # update available/freed resources stack
                         _A     =  np.array(_UpperCAmelCase						) + np.array(
                             alloc_resources_table[process_number]						)
                         print(
                             'Updated available resource stack for processes: '
                             + ' '.join([str(_UpperCAmelCase						) 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      lowerCAmelCase_				(					self			:			Union[str, Any]						):
       print(' ' * 9 + 'Allocated Resource Table'						)
       for item in self.__allocated_resources_table:
             print(
                 F'''P{self.__allocated_resources_table.index(_UpperCAmelCase						) + 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(_UpperCAmelCase						) + 1}'''
                 + ' '.join(F'''{it:>8}''' for it in item						)
                 + '\n'						)
       print(
           'Current Usage by Active Processes: '
           + ' '.join(str(_UpperCAmelCase						) for x in self.__claim_vector						)						)
       print(
           'Initial Available Resources:       '
           + ' '.join(str(_UpperCAmelCase						) for x in self.__available_resources()						)						)
       time.sleep(1						)


if __name__ == "__main__":
       import doctest

       doctest.testmod()





'''simple docstring'''






from typing import Any

import numpy as np





def lowerCamelCase__     (		__lowerCamelCase			:				np.ndarray				):







   '''simple docstring'''




   return np.array_equal(__lowerCamelCase			,       matrix.conjugate().T				)





def lowerCamelCase__     (		__lowerCamelCase			:				np.ndarray			,       __lowerCamelCase			:				np.ndarray				):







   '''simple docstring'''




   _UpperCAmelCase  :  str				       =v.conjugate().T
   _UpperCAmelCase  :  Optional[int]				       =v_star.dot(__lowerCamelCase				)
   assert isinstance(__lowerCamelCase			,       np.ndarray				)
   return (v_star_dot.dot(__lowerCamelCase				)) / (v_star.dot(__lowerCamelCase				))





def lowerCamelCase__     (		):







   '''simple docstring'''




   _UpperCAmelCase  :  Optional[Any]				       =np.array([[2, 2 + 1J, 4], [2 - 1J, 3, 1J], [4, -1J, 1]]				)
   _UpperCAmelCase  :  List[str]				       =np.array([[1], [2], [3]]				)
   assert is_hermitian(__lowerCamelCase				), f"{a} is not hermitian."
   print(rayleigh_quotient(__lowerCamelCase			,       __lowerCamelCase				)				)

   _UpperCAmelCase  :  List[str]				       =np.array([[1, 2, 4], [2, 3, -1], [4, -1, 1]]				)
   assert is_hermitian(__lowerCamelCase				), f"{a} is not hermitian."
   assert rayleigh_quotient(__lowerCamelCase			,       __lowerCamelCase				) == float(3				)


if __name__ == "__main__":
 import doctest

 doctest.testmod()
 tests()

