






import builtins
import sys

from ...utils.imports import _is_package_available
from . import cursor, input
from .helpers import Direction, clear_line, forceWrite, linebreak, move_cursor, reset_cursor, writeColor
from .keymap import KEYMAP


snake_case__      :	Optional[int]       	=      False
try:
	snake_case__      :	str       	=      _is_package_available("""google.colab""")
except ModuleNotFoundError:
	pass


@input.register
class 						_a       :






		"""simple docstring"""





		def __init__(     self		,		_UpperCAmelCase = None		,		_UpperCAmelCase = [] )			-> Tuple:
					UpperCamelCase_									=     0
					UpperCamelCase_									=     choices
					UpperCamelCase_									=     prompt
					if sys.platform == "win32":
								UpperCamelCase_									=     "*"
					else:
								UpperCamelCase_									=     "➔ "




		def    _UpperCAmelCase     (     self		,		_UpperCAmelCase		,		_UpperCAmelCase = "" )			-> Optional[Any]:
					if sys.platform != "win32":
								writeColor(self.choices[index]		,		32		,		_UpperCAmelCase )
					else:
								forceWrite(self.choices[index]		,		_UpperCAmelCase )




		def    _UpperCAmelCase     (     self		,		_UpperCAmelCase )			-> int:
					if index == self.position:
								forceWrite(f""" {self.arrow_char} """ )
								self.write_choice(_UpperCAmelCase )
					else:
								forceWrite(f"""    {self.choices[index]}""" )
					reset_cursor()




		def    _UpperCAmelCase     (     self		,		_UpperCAmelCase		,		_UpperCAmelCase = 1 )			-> Tuple:
					UpperCamelCase_									=     self.position
					if direction == Direction.DOWN:
								if self.position + 1 >= len(self.choices ):
											return
								self.position += num_spaces
					else:
								if self.position - 1 < 0:
											return
								self.position -= num_spaces
					clear_line()
					self.print_choice(_UpperCAmelCase )
					move_cursor(_UpperCAmelCase		,		direction.name )
					self.print_choice(self.position )




		@input.mark(KEYMAP['up'] )
		def    _UpperCAmelCase     (     self )			-> int:
					self.move_direction(Direction.UP )




		@input.mark(KEYMAP['down'] )
		def    _UpperCAmelCase     (     self )			-> int:
					self.move_direction(Direction.DOWN )




		@input.mark(KEYMAP['newline'] )
		def    _UpperCAmelCase     (     self )			-> Any:
					move_cursor(len(self.choices ) - self.position		,		'DOWN' )
					return self.position




		@input.mark(KEYMAP['interrupt'] )
		def    _UpperCAmelCase     (     self )			-> Any:
					move_cursor(len(self.choices ) - self.position		,		'DOWN' )
					raise KeyboardInterrupt




		@input.mark_multiple(*[KEYMAP[str(_UpperCAmelCase )] for number in range(10 )] )
		def    _UpperCAmelCase     (     self )			-> Union[str, Any]:
					UpperCamelCase_									=     int(chr(self.current_selection ) )
					UpperCamelCase_									=     index - self.position
					if index == self.position:
								return
					if index < len(self.choices ):
								if self.position > index:
											self.move_direction(Direction.UP		,		-movement )
								elif self.position < index:
											self.move_direction(Direction.DOWN		,		_UpperCAmelCase )
								else:
											return
					else:
								return




		def    _UpperCAmelCase     (     self		,		_UpperCAmelCase = 0 )			-> int:
					if self.prompt:
								linebreak()
								forceWrite(self.prompt		,		'\n' )
								if in_colab:
											forceWrite('Please input a choice index (starting from 0), and press enter'		,		'\n' )
								else:
											forceWrite('Please select a choice using the arrow or number keys, and selecting with enter'		,		'\n' )
					UpperCamelCase_									=     default_choice
					for i in range(len(self.choices ) ):
								self.print_choice(_UpperCAmelCase )
								forceWrite('\n' )
					move_cursor(len(self.choices ) - self.position		,		'UP' )
					with cursor.hide():
								while True:
											if in_colab:
														try:
																	UpperCamelCase_									=     int(builtins.input() )
														except ValueError:
																	UpperCamelCase_									=     default_choice
											else:
														UpperCamelCase_									=     self.handle_input()
											if choice is not None:
														reset_cursor()
														for _ in range(len(self.choices ) + 1 ):
																	move_cursor(1		,		'UP' )
																	clear_line()
														self.write_choice(_UpperCAmelCase		,		'\n' )
														return choice













from sympy import diff, lambdify, symbols
from sympy.functions import *  # noqa: F403






def     _snake_case    (__lowercase    ,      __lowercase    ,      __lowercase = "x"    ,      __lowercase = 10**-10    ,      __lowercase = 1    ,      ):
   UpperCamelCase_									=     symbols(__lowercase)
   UpperCamelCase_									=     lambdify(__lowercase    ,      __lowercase)
   UpperCamelCase_									=     lambdify(__lowercase    ,      diff(__lowercase    ,      __lowercase))

   UpperCamelCase_									=     starting_point

   while True:
      if diff_function(__lowercase) != 0:
         UpperCamelCase_									=     prev_guess - multiplicity * func(__lowercase) / diff_function(
             __lowercase)
      else:
         raise ZeroDivisionError('Could not find root') from None

      # Precision is checked by comparing the difference of consecutive guesses
      if abs(next_guess - prev_guess) < precision:
         return next_guess

      UpperCamelCase_									=     next_guess


# Let's Execute
if __name__ == "__main__":
 # Find root of trigonometric function
 # Find value of pi
 print(f'The root of sin(x) = 0 is {newton_raphson("sin(x)", 2)}')

 # Find root of polynomial
 # Find fourth Root of 5
 print(f'The root of x**4 - 5 = 0 is {newton_raphson("x**4 -5", 0.4 +5J)}')

 # Find value of e
 print(
     """The root of log(y) - 1 = 0 is """,
     f'{newton_raphson("log(y) - 1", 2, variable="y")}',
 )

 # Exponential Roots
 print(
     """The root of exp(x) - 1 = 0 is""",
     f'{newton_raphson("exp(x) - 1", 1_0, precision=0.005)}',
 )

 # Find root of cos(x)
 print(f'The root of cos(x) = 0 is {newton_raphson("cos(x)", 0)}')





