



'''simple docstring'''







import timeit

class    lowerCamelCase_				:






   '''simple docstring'''

   def __init__(	self  ,    __UpperCamelCase			):
       if isinstance(lowercase_  ,    lowercase_			):  # Initializes a matrix identical to the one provided.
           UpperCamelCase__	     =      arg
           UpperCamelCase__	     =      len(lowercase_			)
       else:  # Initializes a square matrix of the given size and set values to zero.
           UpperCamelCase__	     =      arg
           UpperCamelCase__	     =      [[0 for _ in range(self.n			)] for _ in range(self.n			)]







   def __mul__(	self  ,    __UpperCamelCase			):
       UpperCamelCase__	     =      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     snake_case__			(lowerCAmelCase_       ,	lowerCAmelCase_						):
    UpperCamelCase__	     =      Matrix([[1, 0], [0, 1]]						)
    while b > 0:
        if b & 1:
            matrix *= a
        a *= a
        b >>= 1
    return matrix





def     snake_case__			(lowerCAmelCase_       ,	lowerCAmelCase_       ,	lowerCAmelCase_						):
    # Trivial Cases
    if n == 1:
        return fa
    elif n == 2:
        return fa
    UpperCamelCase__	     =      Matrix([[1, 1], [1, 0]]						)
    UpperCamelCase__	     =      modular_exponentiation(UpperCAmelCase__       ,	n - 2						)
    return fa * matrix.t[0][0] + fa * matrix.t[0][1]





def     snake_case__			(lowerCAmelCase_       ,	lowerCAmelCase_       ,	lowerCAmelCase_						):
    # Trivial Cases
    if n == 1:
        return fa
    elif n == 2:
        return fa

    UpperCamelCase__	     =      fa
    UpperCamelCase__	     =      fa
    n -= 2

    while n > 0:
        UpperCamelCase__	     =      fn_a + fn_a, fn_a
        n -= 1

    return fn_a





def     snake_case__			():
    UpperCamelCase__	     =      """
from random import randint
from __main__ import fibonacci_with_matrix_exponentiation
"""
    UpperCamelCase__	     =      """fibonacci_with_matrix_exponentiation(randint(1,70000), 1, 1)"""
    UpperCamelCase__	     =      timeit.timeit(setup=UpperCAmelCase__       ,	stmt=UpperCAmelCase__       ,	number=1_00						)
    print("With matrix exponentiation the average execution time is "       ,	exec_time / 1_00						)
    return exec_time





def     snake_case__			():
    UpperCamelCase__	     =      """
from random import randint
from __main__ import simple_fibonacci
"""
    UpperCamelCase__	     =      """simple_fibonacci(randint(1,70000), 1, 1)"""
    UpperCamelCase__	     =      timeit.timeit(setup=UpperCAmelCase__       ,	stmt=UpperCAmelCase__       ,	number=1_00						)
    print(
        "Without matrix exponentiation the average execution time is "       ,	exec_time / 1_00						)
    return exec_time





def     snake_case__			():
    matrix_exponentiation_time()
    simple_fibonacci_time()


if __name__ == "__main__":
      main()





'''simple docstring'''




import os
import unittest

import pytest
from parameterized import parameterized

from transformers.testing_utils import require_torch, require_torch_gpu, slow, torch_device


# skipping in unittest tests

_lowercase		:					int													=		[(1,)]




def 				lowerCamelCase      ( )     -> Dict:
							lowercase_   :     Union[str, Any]									=			bool(os.getenv("""RUN_SLOW""" , 0					)					)
							if run_slow:
														assert True
							else:
														assert False, "should have been skipped"




def 				lowerCamelCase      ( )     -> List[str]:
							lowercase_   :     Union[str, Any]									=			bool(os.getenv("""RUN_SLOW""" , 0					)					)
							if run_slow and torch_device == "cuda":
														assert True
							else:
														assert False, "should have been skipped"





@require_torch
class        __magic_name__		(       unittest.TestCase):







			@slow
			@require_torch_gpu
			def       SCREAMING_SNAKE_CASE_	(      self							:    Dict       ):
										check_slow_torch_cuda()







			@require_torch_gpu
			@slow
			def       SCREAMING_SNAKE_CASE_	(      self							:    List[str]       ):
										check_slow_torch_cuda()







			@parameterized.expand(lowercase_       )
			@slow
			def       SCREAMING_SNAKE_CASE_	(      self							:    Tuple							,     lowercase_							:    Dict=None       ):
										check_slow()




@slow
@require_torch_gpu
def 				lowerCamelCase      ( )     -> Union[str, Any]:
							check_slow_torch_cuda()




@require_torch_gpu
@slow
def 				lowerCamelCase      ( )     -> Any:
							check_slow_torch_cuda()




@slow
@pytest.mark.parametrize("""param""" , [1]					)
def 				lowerCamelCase      ( UpperCAmelCase__			:   List[str]					)     -> List[Any]:
							check_slow()




@pytest.mark.parametrize("""param""" , [1]					)
@slow
def 				lowerCamelCase      ( UpperCAmelCase__			:   Optional[Any]					)     -> Any:
							check_slow()





