

from __future__ import annotations

import math
from collections.abc import Callable







def 						lowerCamelCase__      ( __A    :Callable[[int | float], int | float]	,__A    :int | float	,__A    :int | float	,__A    :int = 1_0_0	,):


       """simple docstring"""




       __snake_case       	=							x_start
       __snake_case       	=							fnc(UpperCamelCase__		)
       __snake_case       	=							0.0

       for _ in range(UpperCamelCase__		):
              # Approximates curve as a sequence of linear lines and sums their length
              __snake_case       	=							(x_end - x_start) / steps + xa
              __snake_case       	=							fnc(UpperCamelCase__		)
              length += math.hypot(xa - xa	,fxa - fxa		)

              # Increment step
              __snake_case       	=							xa
              __snake_case       	=							fxa

       return length


if __name__ == "__main__":







    def 						lowerCamelCase__      ( __A    :Union[str, Any]		):


           """simple docstring"""




           return math.sin(1_0 * x		)

    print('''f(x) = sin(10 * x)''')
    print('''The length of the curve from x = -10 to x = 10 is:''')
    UpperCamelCase__		 =     10
    while i <= 100000:
        print(F'With {i} steps: {line_length(f, -10, 10, i)}')
        i *= 10








def       UpperCamelCase__(			UpperCamelCase__     :			str = "The quick brown fox jumps over the lazy dog"					,	)->bool:
       A__		   =		set()

       # Replace all the whitespace in our sentence
       A__		   =		input_str.replace(''' '''					,	''''''    )
       for alpha in input_str:
              if "a" <= alpha.lower() <= "z":
                     frequency.add(alpha.lower()    )
       return len(UpperCamelCase__    ) == 26


def       UpperCamelCase__(			UpperCamelCase__     :			str = "The quick brown fox jumps over the lazy dog"					,	)->bool:
       A__		   =		[False] * 26
       for char in input_str:
              if char.islower():
                     A__		   =		True
              elif char.isupper():
                     A__		   =		True
       return all(UpperCamelCase__    )


def       UpperCamelCase__(			UpperCamelCase__     :			str = "The quick brown fox jumps over the lazy dog"					,	)->bool:
       return len({char for char in input_str.lower() if char.isalpha()}    ) == 26


def       UpperCamelCase__(			)->None:
       from timeit import timeit

       A__		   =		'''from __main__ import is_pangram, is_pangram_faster, is_pangram_fastest'''
       print(timeit('''is_pangram()'''					,	setup=UpperCamelCase__    )    )
       print(timeit('''is_pangram_faster()'''					,	setup=UpperCamelCase__    )    )
       print(timeit('''is_pangram_fastest()'''					,	setup=UpperCamelCase__    )    )
       # 5.348480500048026, 2.6477354579837993, 1.8470395830227062
       # 5.036091582966037, 2.644472333951853,  1.8869528750656173


if __name__ == "__main__":
       import doctest

       doctest.testmod()
       benchmark()





