"""simple docstring"""



import itertools
import string
from collections.abc import Generator, Iterable





def  SCREAMING_SNAKE_CASE							(  snake_case,   snake_case):
     __snake_case				=				iter(snake_case)
     while True:
          __snake_case				=				tuple(itertools.islice(snake_case,   snake_case))
          if not chunk:
               return
          yield chunk





def  SCREAMING_SNAKE_CASE							(  snake_case):
     __snake_case				=				''''''.join([c.upper() for c in dirty if c in string.ascii_letters])
     __snake_case				=				''''''

     if len(snake_case) < 2:
          return dirty

     for i in range(len(snake_case) - 1):
          clean += dirty[i]

          if dirty[i] == dirty[i + 1]:
               clean += "X"

     clean += dirty[-1]

     if len(snake_case) & 1:
          clean += "X"

     return clean





def  SCREAMING_SNAKE_CASE							(  snake_case):
     # I and J are used interchangeably to allow
     # us to use a 5x5 table (25 letters)
     __snake_case				=				'''ABCDEFGHIKLMNOPQRSTUVWXYZ'''
     # we're using a list instead of a '2d' array because it makes the math
     # for setting up the table and doing the actual encoding/decoding simpler
     __snake_case				=				[]

     # copy key chars into the table if they are in `alphabet` ignoring duplicates
     for char in key.upper():
          if char not in table and char in alphabet:
               table.append(snake_case)

    # fill the rest of the table in with the remaining alphabet chars
     for char in alphabet:
          if char not in table:
               table.append(snake_case)

     return table





def  SCREAMING_SNAKE_CASE							(  snake_case,   snake_case):
     __snake_case				=				generate_table(snake_case)
     __snake_case				=				prepare_input(snake_case)
     __snake_case				=				''''''

     # https://en.wikipedia.org/wiki/Playfair_cipher#Description
     for chara, chara in chunker(snake_case,   2):
          __snake_case		,						__snake_case				=				divmod(table.index(snake_case),   5)
          __snake_case		,						__snake_case				=				divmod(table.index(snake_case),   5)

          if rowa == rowa:
               ciphertext += table[rowa * 5 + (cola + 1) % 5]
               ciphertext += table[rowa * 5 + (cola + 1) % 5]
          elif cola == cola:
               ciphertext += table[((rowa + 1) % 5) * 5 + cola]
               ciphertext += table[((rowa + 1) % 5) * 5 + cola]
          else:  # rectangle
               ciphertext += table[rowa * 5 + cola]
               ciphertext += table[rowa * 5 + cola]

     return ciphertext





def  SCREAMING_SNAKE_CASE							(  snake_case,   snake_case):
     __snake_case				=				generate_table(snake_case)
     __snake_case				=				''''''

     # https://en.wikipedia.org/wiki/Playfair_cipher#Description
     for chara, chara in chunker(snake_case,   2):
          __snake_case		,						__snake_case				=				divmod(table.index(snake_case),   5)
          __snake_case		,						__snake_case				=				divmod(table.index(snake_case),   5)

          if rowa == rowa:
               plaintext += table[rowa * 5 + (cola - 1) % 5]
               plaintext += table[rowa * 5 + (cola - 1) % 5]
          elif cola == cola:
               plaintext += table[((rowa - 1) % 5) * 5 + cola]
               plaintext += table[((rowa - 1) % 5) * 5 + cola]
          else:  # rectangle
               plaintext += table[rowa * 5 + cola]
               plaintext += table[rowa * 5 + cola]

     return plaintext





from math import sqrt

import numpy as np
from sympy import symbols

# Coefficient
# Speed of light (m/s)
SCREAMING_SNAKE_CASE:     Optional[int]									= 2_9_9_7_9_2_4_5_8

# Symbols
SCREAMING_SNAKE_CASE				,					SCREAMING_SNAKE_CASE				,					SCREAMING_SNAKE_CASE				,					SCREAMING_SNAKE_CASE:     Tuple									= symbols('''ct x y z''')


def 					_a							(					lowerCAmelCase )->	float:
		if velocity > c:
				raise ValueError('Speed must not exceed light speed 299,792,458 [m/s]!' )
		elif velocity < 1:
				# Usually the speed should be much higher than 1 (c order of magnitude)
				raise ValueError('Speed must be greater than or equal to 1!' )

		return velocity / c


def 					_a							(					lowerCAmelCase )->	float:
		return 1 / sqrt(1 - beta(lowerCAmelCase ) ** 2 )


def 					_a							(					lowerCAmelCase )->	np.ndarray:
		return np.array(
		    [
		        [gamma(lowerCAmelCase ), -gamma(lowerCAmelCase ) * beta(lowerCAmelCase ), 0, 0],
		        [-gamma(lowerCAmelCase ) * beta(lowerCAmelCase ), gamma(lowerCAmelCase ), 0, 0],
		        [0, 0, 1, 0],
		        [0, 0, 0, 1],
		    ] )


def 					_a							(					lowerCAmelCase    ,						lowerCAmelCase = None )->	np.ndarray:
		# Ensure event is not empty
		if event is None:
				SCREAMING_SNAKE_CASE_					      =							np.array([ct, x, y, z] )  # Symbolic four vector
		else:
				event[0] *= c  # x0 is ct (speed of light * time)

		return transformation_matrix(lowerCAmelCase ) @ event


if __name__ == "__main__":
						import doctest

						doctest.testmod()

						# Example of symbolic vector:
						SCREAMING_SNAKE_CASE:     int									= transform(2_9_9_7_9_2_4_5)
						print('''Example of four vector: ''')
						print(f"""ct' = {four_vector[0]}""")
						print(f"""x' = {four_vector[1]}""")
						print(f"""y' = {four_vector[2]}""")
						print(f"""z' = {four_vector[3]}""")

						# Substitute symbols with numerical values
						SCREAMING_SNAKE_CASE:     List[Any]									= {ct: c, x: 1, y: 1, z: 1}
						SCREAMING_SNAKE_CASE:     Optional[Any]									= [four_vector[i].subs(sub_dict) for i in range(4)]

						print(f"""\n{numerical_vector}""")