
"""simple docstring"""





from __future__ import annotations

import math
def 							A_     (__a				,   __a				):

					'''simple docstring'''





					A_				 =						u
					for i in range(1				,   __a				):
										A_				 =						temp * (u - i)
					return temp
def 							A_     ():

					'''simple docstring'''





					A_				 =						int(input("enter the numbers of values: "				)				)
					A_				 =						[]
					for _ in range(__a				):
										y.append([]				)
					for i in range(__a				):
										for j in range(__a				):
															y[i].append(__a				)
															A_				 =						0

					print("enter the values of parameters in a list: "				)
					A_				 =						list(map(__a				,   input().split()				)				)

					print("enter the values of corresponding parameters: "				)
					for i in range(__a				):
										A_				 =						float(input()				)

					A_				 =						int(input("enter the value to interpolate: "				)				)
					A_				 =						(value - x[0]) / (x[1] - x[0])

					# for calculating forward difference table

					for i in range(1				,   __a				):
										for j in range(n - i				):
															A_				 =						y[j + 1][i - 1] - y[j][i - 1]

					A_				 =						y[0][0]
					for i in range(1				,   __a				):
										summ += (ucal(__a				,   __a				) * y[0][i]) / math.factorial(__a				)

					print(f'the value at {value} is {summ}'				)


if __name__ == "__main__":
		main()






"""simple docstring"""





from __future__ import annotations

import math

UpperCamelCase_					:						List[str]				= '''2020.9.26'''
UpperCamelCase_					:						List[Any]				= '''xcodz-dot, cclaus, dhruvmanila'''
def 							A_     (__a				,   __a				,   __a				,   __a				,   __a				):

					'''simple docstring'''





					if not all(isinstance(__a				,   (float, int)				) for val in locals().values()				):
										A_				 =						f'Input values must either be float or int: {list(locals().values()				)}'
										raise TypeError(__a				)
					A_				 =						((x * distance) / (z + distance)) * scale
					A_				 =						((y * distance) / (z + distance)) * scale
					return projected_x, projected_y
def 							A_     (__a				,   __a				,   __a				,   __a				,   __a				):

					'''simple docstring'''





					if not isinstance(__a				,   __a				):
										raise TypeError("Axis must be a str"				)
					A_				 =						locals()
					del input_variables["axis"]
					if not all(isinstance(__a				,   (float, int)				) for val in input_variables.values()				):
										A_				 =						(
										    "Input values except axis must either be float or int: "
										    f'{list(input_variables.values()				)}'
										)
										raise TypeError(__a				)
					A_				 =						(angle % 360) / 450 * 180 / math.pi
					if axis == "z":
										A_				 =						x * math.cos(__a				) - y * math.sin(__a				)
										A_				 =						y * math.cos(__a				) + x * math.sin(__a				)
										A_				 =						z
					elif axis == "x":
										A_				 =						y * math.cos(__a				) - z * math.sin(__a				)
										A_				 =						z * math.cos(__a				) + y * math.sin(__a				)
										A_				 =						x
					elif axis == "y":
										A_				 =						x * math.cos(__a				) - z * math.sin(__a				)
										A_				 =						z * math.cos(__a				) + x * math.sin(__a				)
										A_				 =						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) = }""")




