import timeit




class    __lowerCAmelCase  :



 '''simple docstring'''

 def __init__(			self       :		Union[str, Any]       ,			lowerCamelCase       :		Union[str, Any]  ) ->							int:
        if isinstance(lowerCamelCase       ,			lowerCamelCase  ):  # Initializes a matrix identical to the one provided.
               _UpperCamelCase     :       List[str]  						=  arg
               _UpperCamelCase     :       List[str]  						=  len(lowerCamelCase  )
        else:  # Initializes a square matrix of the given size and set values to zero.
               _UpperCamelCase     :       List[str]  						=  arg
               _UpperCamelCase     :       Tuple  						=  [[0 for _ in range(self.n  )] for _ in range(self.n  )]

 def __mul__(			self       :		str       ,			lowerCamelCase       :		Union[str, Any]  ) ->							Any:
        _UpperCamelCase     :       str  						=  Matrix(self.n  )
        for i in range(self.n  ):
               for j in range(self.n  ):
                      for k in range(self.n  ):
                             matrix.t[i][j] += self.t[i][k] * b.t[k][j]
        return matrix







def SCREAMING_SNAKE_CASE				(     lowercase_:	Tuple		,						lowercase_:	Any				):
       _UpperCamelCase     :       Tuple  						=  Matrix([[1, 0], [0, 1]]				)
       while b > 0:
              if b & 1:
                     matrix *= a
              a *= a
              b >>= 1
       return matrix


def SCREAMING_SNAKE_CASE				(     lowercase_:	int		,						lowercase_:	Optional[Any]		,						lowercase_:	List[Any]				):
       # Trivial Cases
       if n == 1:
              return fa
       elif n == 2:
              return fa
       _UpperCamelCase     :       int  						=  Matrix([[1, 1], [1, 0]]				)
       _UpperCamelCase     :       List[Any]  						=  modular_exponentiation(lowercase_		,						n - 2				)
       return fa * matrix.t[0][0] + fa * matrix.t[0][1]


def SCREAMING_SNAKE_CASE				(     lowercase_:	Optional[int]		,						lowercase_:	Tuple		,						lowercase_:	str				):
       # Trivial Cases
       if n == 1:
              return fa
       elif n == 2:
              return fa

       _UpperCamelCase     :       List[Any]  						=  fa
       _UpperCamelCase     :       str  						=  fa
       n -= 2

       while n > 0:
              _UpperCamelCase     :       Tuple  						=  fn_a + fn_a, fn_a
              n -= 1

       return fn_a


def SCREAMING_SNAKE_CASE				(     ):
       _UpperCamelCase     :       str  						=  '\nfrom random import randint\nfrom __main__ import fibonacci_with_matrix_exponentiation\n'
       _UpperCamelCase     :       Tuple  						=  'fibonacci_with_matrix_exponentiation(randint(1,70000), 1, 1)'
       _UpperCamelCase     :       Tuple  						=  timeit.timeit(setup=lowercase_		,						stmt=lowercase_		,						number=100				)
       print('With matrix exponentiation the average execution time is '		,						exec_time / 100				)
       return exec_time


def SCREAMING_SNAKE_CASE				(     ):
       _UpperCamelCase     :       Tuple  						=  '\nfrom random import randint\nfrom __main__ import simple_fibonacci\n'
       _UpperCamelCase     :       Optional[Any]  						=  'simple_fibonacci(randint(1,70000), 1, 1)'
       _UpperCamelCase     :       str  						=  timeit.timeit(setup=lowercase_		,						stmt=lowercase_		,						number=100				)
       print(
           'Without matrix exponentiation the average execution time is '		,						exec_time / 100				)
       return exec_time


def SCREAMING_SNAKE_CASE				(     ):
       matrix_exponentiation_time()
       simple_fibonacci_time()


if __name__ == "__main__":
 main()




from .chunk_utils import chunk_layer
from .data_transforms import make_atomaa_masks
from .feats import atomaa_to_atomaa, frames_and_literature_positions_to_atomaa_pos, torsion_angles_to_frames
from .loss import compute_predicted_aligned_error, compute_tm
from .protein import Protein as OFProtein
from .protein import to_pdb
from .rigid_utils import Rigid, Rotation
from .tensor_utils import dict_multimap, flatten_final_dims, permute_final_dims



