






import numpy as np

lowerCamelCase       :       int        =				[
    ['''a''', '''b''', '''c''', '''d''', '''e'''],
    ['''f''', '''g''', '''h''', '''i''', '''k'''],
    ['''l''', '''m''', '''n''', '''o''', '''p'''],
    ['''q''', '''r''', '''s''', '''t''', '''u'''],
    ['''v''', '''w''', '''x''', '''y''', '''z'''],
]

class 						lowerCAmelCase   :

					'''simple docstring'''

					def __init__(     self :		str							)	->     None:


												"""simple docstring"""

												__lowercase					:							Any			=   np.array(__a							)



					def 					lowerCAmelCase (     self :		int						,   __a :		str							)	->     np.ndarray:


												"""simple docstring"""

												__lowercase	,	__lowercase					:							Union[str, Any]			=   np.where(letter == self.SQUARE							)
												__lowercase					:							Tuple			=   np.concatenate([indexa + 1, indexa + 1]							)
												return indexes



					def 					lowerCAmelCase (     self :		List[str]						,   __a :		int						,   __a :		int							)	->     str:


												"""simple docstring"""

												__lowercase					:							Optional[Any]			=   self.SQUARE[indexa - 1, indexa - 1]
												return letter



					def 					lowerCAmelCase (     self :		Optional[Any]						,   __a :		str							)	->     str:


												"""simple docstring"""

												__lowercase					:							List[Any]			=   message.lower()
												__lowercase					:							List[Any]			=   message.replace(""" """						,   """"""							)
												__lowercase					:							Union[str, Any]			=   message.replace("""j"""						,   """i"""							)

												__lowercase					:							Union[str, Any]			=   np.empty((2, len(__a							))							)
												for letter_index in range(len(__a							)							):
																			__lowercase					:							str			=   self.letter_to_numbers(message[letter_index]							)

																			__lowercase					:							Optional[int]			=   numbers[0]
																			__lowercase					:							List[Any]			=   numbers[1]

												__lowercase					:							Any			=   first_step.reshape(2 * len(__a							)							)
												__lowercase					:							Optional[int]			=   """"""
												for numbers_index in range(len(__a							)							):
																			__lowercase					:							str			=   int(second_step[numbers_index * 2]							)
																			__lowercase					:							Optional[int]			=   int(second_step[(numbers_index * 2) + 1]							)
																			__lowercase					:							str			=   self.numbers_to_letter(__a						,   __a							)
																			__lowercase					:							int			=   encoded_message + letter

												return encoded_message



					def 					lowerCAmelCase (     self :		Dict						,   __a :		str							)	->     str:


												"""simple docstring"""

												__lowercase					:							Any			=   message.lower()
												message.replace(""" """						,   """"""							)
												__lowercase					:							int			=   np.empty(2 * len(__a							)							)
												for letter_index in range(len(__a							)							):
																			__lowercase					:							Tuple			=   self.letter_to_numbers(message[letter_index]							)
																			__lowercase					:							Optional[Any]			=   numbers[0]
																			__lowercase					:							Optional[Any]			=   numbers[1]

												__lowercase					:							int			=   first_step.reshape((2, len(__a							))							)
												__lowercase					:							Optional[Any]			=   """"""
												for numbers_index in range(len(__a							)							):
																			__lowercase					:							str			=   int(second_step[0, numbers_index]							)
																			__lowercase					:							str			=   int(second_step[1, numbers_index]							)
																			__lowercase					:							Any			=   self.numbers_to_letter(__a						,   __a							)
																			__lowercase					:							List[Any]			=   decoded_message + letter

												return decoded_message







from __future__ import annotations

import math

lowerCamelCase       :       List[Any]        =				'''2020.9.26'''
lowerCamelCase       :       str        =				'''xcodz-dot, cclaus, dhruvmanila'''
def 					snake_case_						(   lowerCAmelCase_				:  float				,				lowerCAmelCase_				:  float				,				lowerCAmelCase_				:  float				,				lowerCAmelCase_				:  float				,				lowerCAmelCase_				:  float					):
							if not all(isinstance(lowerCAmelCase_				,				(float, int)					) for val in locals().values()					):
														__lowercase					:							str			=   F"Input values must either be float or int: {list(locals().values()					)}"
														raise TypeError(lowerCAmelCase_					)
							__lowercase					:							List[Any]			=   ((x * distance) / (z + distance)) * scale
							__lowercase					:							Tuple			=   ((y * distance) / (z + distance)) * scale
							return projected_x, projected_y
def 					snake_case_						(   lowerCAmelCase_				:  float				,				lowerCAmelCase_				:  float				,				lowerCAmelCase_				:  float				,				lowerCAmelCase_				:  str				,				lowerCAmelCase_				:  float					):
							if not isinstance(lowerCAmelCase_				,				lowerCAmelCase_					):
														raise TypeError("""Axis must be a str"""					)
							__lowercase					:							Optional[int]			=   locals()
							del input_variables["axis"]
							if not all(isinstance(lowerCAmelCase_				,				(float, int)					) for val in input_variables.values()					):
														__lowercase					:							List[str]			=   (
														    """Input values except axis must either be float or int: """
														    F"{list(input_variables.values()					)}"
														)
														raise TypeError(lowerCAmelCase_					)
							__lowercase					:							Tuple			=   (angle % 360) / 450 * 180 / math.pi
							if axis == "z":
														__lowercase					:							int			=   x * math.cos(lowerCAmelCase_					) - y * math.sin(lowerCAmelCase_					)
														__lowercase					:							Tuple			=   y * math.cos(lowerCAmelCase_					) + x * math.sin(lowerCAmelCase_					)
														__lowercase					:							Union[str, Any]			=   z
							elif axis == "x":
														__lowercase					:							str			=   y * math.cos(lowerCAmelCase_					) - z * math.sin(lowerCAmelCase_					)
														__lowercase					:							Dict			=   z * math.cos(lowerCAmelCase_					) + y * math.sin(lowerCAmelCase_					)
														__lowercase					:							List[str]			=   x
							elif axis == "y":
														__lowercase					:							List[str]			=   x * math.cos(lowerCAmelCase_					) - z * math.sin(lowerCAmelCase_					)
														__lowercase					:							List[str]			=   z * math.cos(lowerCAmelCase_					) + x * math.sin(lowerCAmelCase_					)
														__lowercase					:							List[Any]			=   y
							else:
														raise ValueError("""not a valid axis, choose one of 'x', 'y', 'z'"""					)

							return new_x, new_y, new_z


if __name__ == "__main__":
	import doctest

	doctest.testmod()
	print(f'''{convert_to_ad(1.0, 2.0, 3.0, 10.0, 10.0) = }''')
	print(f'''{rotate(1.0, 2.0, 3.0, "y", 90.0) = }''')