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






def 		_UpperCAmelCase   (	UpperCamelCase:     str			,							UpperCamelCase:     complex			,							UpperCamelCase:     str = "x"			,							UpperCamelCase:     float = 1_0**-1_0			,							UpperCamelCase:     int = 1			,							):






	"""simple docstring"""


	__lowerCAmelCase         =							symbols(UpperCamelCase  )
	__lowerCAmelCase         =							lambdify(UpperCamelCase			,							UpperCamelCase  )
	__lowerCAmelCase         =							lambdify(UpperCamelCase			,							diff(UpperCamelCase			,							UpperCamelCase  )  )

	__lowerCAmelCase         =							starting_point

	while True:
		if diff_function(UpperCamelCase  ) != 0:
			__lowerCAmelCase         =							prev_guess - multiplicity * func(UpperCamelCase  ) / diff_function(
			    UpperCamelCase  )
		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

		__lowerCAmelCase         =							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=0.0_0_5)}''',
					)

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








import math
import sys






def 		_UpperCAmelCase   (	UpperCamelCase:     str  ):






	"""simple docstring"""


	__lowerCAmelCase         =							""
	try:
		with open(UpperCamelCase			,							"rb"  ) as binary_file:
			__lowerCAmelCase         =							binary_file.read()
		for dat in data:
			__lowerCAmelCase         =							F"{dat:08b}"
			result += curr_byte
		return result
	except OSError:
		print("File not accessible"  )
		sys.exit()






def 		_UpperCAmelCase   (	UpperCamelCase:     str  ):






	"""simple docstring"""


	__lowerCAmelCase         =							{"0": "0", "1": "1"}
	__lowerCAmelCase   ,						__lowerCAmelCase         =							"", ""
	__lowerCAmelCase         =							len(UpperCamelCase  )

	for i in range(len(UpperCamelCase  )  ):
		curr_string += data_bits[i]
		if curr_string not in lexicon:
			continue

		__lowerCAmelCase         =							lexicon[curr_string]
		result += last_match_id
		__lowerCAmelCase         =							last_match_id + "0"

		if math.loga(UpperCamelCase  ).is_integer():
			__lowerCAmelCase         =							{}
			for curr_key in list(UpperCamelCase  ):
				__lowerCAmelCase         =							lexicon.pop(UpperCamelCase  )
			__lowerCAmelCase         =							new_lex

		__lowerCAmelCase         =							last_match_id + "1"
		index += 1
		__lowerCAmelCase         =							""
	return result






def 		_UpperCAmelCase   (	UpperCamelCase:     str			,							UpperCamelCase:     str  ):






	"""simple docstring"""


	__lowerCAmelCase         =							8
	try:
		with open(UpperCamelCase			,							"wb"  ) as opened_file:
			__lowerCAmelCase         =							[
			    to_write[i : i + byte_length]
			    for i in range(0			,							len(UpperCamelCase  )			,							UpperCamelCase  )
			]

			if len(result_byte_array[-1]  ) % byte_length == 0:
				result_byte_array.append("10000000"  )
			else:
				result_byte_array[-1] += "1" + "0" * (
				    byte_length - len(result_byte_array[-1]  ) - 1
				)

			for elem in result_byte_array[:-1]:
				opened_file.write(int(UpperCamelCase			,							2  ).to_bytes(1			,							byteorder="big"  )  )
	except OSError:
		print("File not accessible"  )
		sys.exit()






def 		_UpperCAmelCase   (	UpperCamelCase:     str  ):






	"""simple docstring"""


	__lowerCAmelCase         =							0
	for letter in data_bits:
		if letter == "1":
			break
		counter += 1

	__lowerCAmelCase         =							data_bits[counter:]
	__lowerCAmelCase         =							data_bits[counter + 1 :]
	return data_bits






def 		_UpperCAmelCase   (	UpperCamelCase:     str			,							UpperCamelCase:     str  ):






	"""simple docstring"""


	__lowerCAmelCase         =							read_file_binary(UpperCamelCase  )
	__lowerCAmelCase         =							remove_prefix(UpperCamelCase  )
	__lowerCAmelCase         =							decompress_data(UpperCamelCase  )
	write_file_binary(UpperCamelCase			,							UpperCamelCase  )


if __name__ == "__main__":
					compress(sys.argv[1], sys.argv[2])






