


import os
import string
import sys


A							:					int     						=     1 << 8

A							:					Optional[int]     						=     {
    'tab': ord('\t'),
    'newline': ord('\r'),
    'esc': 27,
    'up': 65 + ARROW_KEY_FLAG,
    'down': 66 + ARROW_KEY_FLAG,
    'right': 67 + ARROW_KEY_FLAG,
    'left': 68 + ARROW_KEY_FLAG,
    'mod_int': 91,
    'undefined': sys.maxsize,
    'interrupt': 3,
    'insert': 50,
    'delete': 51,
    'pg_up': 53,
    'pg_down': 54,
}

A							:					Optional[int]     						=     KEYMAP['up']
A							:					List[str]     						=     KEYMAP['left']

if sys.platform == "win32":
	A							:					Optional[Any]     						=     []
	A							:					Optional[Any]     						=     {
	    B'\xe0H': KEYMAP['up'] - ARROW_KEY_FLAG,
	    B'\x00H': KEYMAP['up'] - ARROW_KEY_FLAG,
	    B'\xe0P': KEYMAP['down'] - ARROW_KEY_FLAG,
	    B'\x00P': KEYMAP['down'] - ARROW_KEY_FLAG,
	    B'\xe0M': KEYMAP['right'] - ARROW_KEY_FLAG,
	    B'\x00M': KEYMAP['right'] - ARROW_KEY_FLAG,
	    B'\xe0K': KEYMAP['left'] - ARROW_KEY_FLAG,
	    B'\x00K': KEYMAP['left'] - ARROW_KEY_FLAG,
	}

for i in range(10):
	A							:					int     						=     ord(str(i))





def 	_lowerCAmelCase       (    )						->	Tuple:


						'''simple docstring'''






						if os.name == "nt":
												import msvcrt

												__snake_case				=		"mbcs"
												# Flush the keyboard buffer
												while msvcrt.kbhit():
																		msvcrt.getch()
												if len(_lowerCAmelCase ) == 0:
																		# Read the keystroke
																		__snake_case				=		msvcrt.getch()

																		# If it is a prefix char, get second part
																		if ch in (b"\x00", b"\xe0"):
																								__snake_case				=		ch + msvcrt.getch()
																								# Translate actual Win chars to bullet char types
																								try:
																														__snake_case				=		chr(WIN_KEYMAP[cha] )
																														WIN_CH_BUFFER.append(chr(KEYMAP["mod_int"] ) )
																														WIN_CH_BUFFER.append(_lowerCAmelCase )
																														if ord(_lowerCAmelCase ) in (
																														    KEYMAP["insert"] - 1 << 9,
																														    KEYMAP["delete"] - 1 << 9,
																														    KEYMAP["pg_up"] - 1 << 9,
																														    KEYMAP["pg_down"] - 1 << 9,
																														):
																																				WIN_CH_BUFFER.append(chr(126 ) )
																														__snake_case				=		chr(KEYMAP["esc"] )
																								except KeyError:
																														__snake_case				=		cha[1]
																		else:
																								__snake_case				=		ch.decode(_lowerCAmelCase )
												else:
																		__snake_case				=		WIN_CH_BUFFER.pop(0 )
						elif os.name == "posix":
												import termios
												import tty

												__snake_case				=		sys.stdin.fileno()
												__snake_case				=		termios.tcgetattr(_lowerCAmelCase )
												try:
																		tty.setraw(_lowerCAmelCase )
																		__snake_case				=		sys.stdin.read(1 )
												finally:
																		termios.tcsetattr(_lowerCAmelCase      ,	termios.TCSADRAIN      ,	_lowerCAmelCase )
						return ch





def 	_lowerCAmelCase       (    )						->	Optional[Any]:


						'''simple docstring'''






						__snake_case				=		get_raw_chars()
						if ord(_lowerCAmelCase ) in [KEYMAP["interrupt"], KEYMAP["newline"]]:
												return char

						elif ord(_lowerCAmelCase ) == KEYMAP["esc"]:
												__snake_case				=		get_raw_chars()
												if ord(_lowerCAmelCase ) == KEYMAP["mod_int"]:
																		__snake_case				=		get_raw_chars()
																		if ord(_lowerCAmelCase ) >= KEYMAP["arrow_begin"] - ARROW_KEY_FLAG and ord(_lowerCAmelCase ) <= KEYMAP["arrow_end"] - ARROW_KEY_FLAG:
																								return chr(ord(_lowerCAmelCase ) + ARROW_KEY_FLAG )
																		else:
																								return KEYMAP["undefined"]
												else:
																		return get_raw_chars()

						else:
												if char in string.printable:
																		return char
												else:
																		return KEYMAP["undefined"]









from __future__ import annotations

from decimal import Decimal
from math import *  # noqa: F403

from sympy import diff





def 	_lowerCAmelCase       (    _lowerCAmelCase      ,	_lowerCAmelCase      ,	_lowerCAmelCase = 10**-10 )						->	float:


						'''simple docstring'''






						__snake_case				=		a
						while True:
												__snake_case				=		Decimal(_lowerCAmelCase ) - (
												    Decimal(eval(_lowerCAmelCase ) ) / Decimal(eval(str(diff(_lowerCAmelCase ) ) ) )  # noqa: S307
												)
												# This number dictates the accuracy of the answer
												if abs(eval(_lowerCAmelCase ) ) < precision:  # noqa: S307
																		return float(_lowerCAmelCase )


# 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
	print(f'''The root of x**2 - 5*x + 2 = 0 is {newton_raphson("x**2 - 5*x + 2", 0.4)}''')
	# Find Square Root of 5
	print(f'''The root of log(x) - 1 = 0 is {newton_raphson("log(x) - 1", 2)}''')
	# Exponential Roots
	print(f'''The root of exp(x) - 1 = 0 is {newton_raphson("exp(x) - 1", 0)}''')





