
import timeit







class      lowerCamelCase		:





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





     def __mul__(self      :    Tuple				,    _A      :    int   )						->						Union[str, Any]:
         snake_case      =					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 						lowercase_			(   A__ ,		A__		)							->							Union[str, Any]:
    """simple docstring"""

    snake_case      =					Matrix([[1, 0], [0, 1]]		)
    while b > 0:
        if b & 1:
            matrix *= a
        a *= a
        b >>= 1
    return matrix



def 						lowercase_			(   A__ ,		A__ ,		A__		)							->							Any:
    """simple docstring"""

    if n == 1:
        return fa
    elif n == 2:
        return fa
    snake_case      =					Matrix([[1, 1], [1, 0]]		)
    snake_case      =					modular_exponentiation(A__ ,		n - 2		)
    return fa * matrix.t[0][0] + fa * matrix.t[0][1]



def 						lowercase_			(   A__ ,		A__ ,		A__		)							->							Tuple:
    """simple docstring"""

    if n == 1:
        return fa
    elif n == 2:
        return fa

    snake_case      =					fa
    snake_case      =					fa
    n -= 2

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

    return fn_a



def 						lowercase_			(   )							->							List[str]:
    """simple docstring"""

    snake_case      =					"\nfrom random import randint\nfrom __main__ import fibonacci_with_matrix_exponentiation\n"
    snake_case      =					"fibonacci_with_matrix_exponentiation(randint(1,70000), 1, 1)"
    snake_case      =					timeit.timeit(setup=A__ ,		stmt=A__ ,		number=100		)
    print("With matrix exponentiation the average execution time is " ,		exec_time / 100		)
    return exec_time



def 						lowercase_			(   )							->							str:
    """simple docstring"""

    snake_case      =					"\nfrom random import randint\nfrom __main__ import simple_fibonacci\n"
    snake_case      =					"simple_fibonacci(randint(1,70000), 1, 1)"
    snake_case      =					timeit.timeit(setup=A__ ,		stmt=A__ ,		number=100		)
    print(
        "Without matrix exponentiation the average execution time is " ,		exec_time / 100		)
    return exec_time



def 						lowercase_			(   )							->							str:
    """simple docstring"""

    matrix_exponentiation_time()
    simple_fibonacci_time()


if __name__ == "__main__":
   main()



import json
import os
import tempfile

import datasets
from utils import generate_example_dataset, get_duration


_A  					= 50_00_00

_A					,  _A  					= os.path.split(__file__)
_A  					= os.path.join(RESULTS_BASEPATH, "results", RESULTS_FILENAME.replace(".py", ".json"))



@get_duration
def 						lowercase_			(   A__		)							->							str:
    """simple docstring"""

    snake_case      =					dataset.select(range(0 ,		len(A__		) ,		2		)		)



@get_duration
def 						lowercase_			(   A__		)							->							int:
    """simple docstring"""

    snake_case      =					dataset.sort("numbers"		)



@get_duration
def 						lowercase_			(   A__		)							->							Optional[int]:
    """simple docstring"""

    snake_case      =					dataset.shuffle()



@get_duration
def 						lowercase_			(   A__		)							->							int:
    """simple docstring"""

    snake_case      =					dataset.train_test_split(0.1		)



@get_duration
def 						lowercase_			(   A__ ,		A__=10		)							->							List[Any]:
    """simple docstring"""

    for shard_id in range(A__		):
        snake_case      =					dataset.shard(A__ ,		A__		)



def 						lowercase_			(   )							->							List[str]:
    """simple docstring"""

    snake_case      =					{"num examples": SPEED_TEST_N_EXAMPLES}
    snake_case      =					(select, sort, shuffle, train_test_split, shard)
    with tempfile.TemporaryDirectory() as tmp_dir:
        print("generating dataset"		)
        snake_case      =					datasets.Features({"text": datasets.Value("string"		), "numbers": datasets.Value("float32"		)}		)
        snake_case      =					generate_example_dataset(
            os.path.join(A__ ,		"dataset.arrow"		) ,		A__ ,		num_examples=A__		)
        print("Functions"		)
        for func in functions:
            print(func.__name__		)
            snake_case      =					func(A__		)

    with open(A__ ,		"wb"		) as f:
        f.write(json.dumps(A__		).encode("utf-8"		)		)


if __name__ == "__main__":  # useful to run the profiler
   benchmark_indices_mapping()

