import math as m





def      __lowercase  (		lowerCamelCase      :  Optional[int]						,						lowerCamelCase      :  str						,						lowerCamelCase      :  List[str]=0.0_0_1			):
 return (f(a + h			) - f(a - h			)) / (2 * h)





def      __lowercase  (		lowerCamelCase      :  Optional[Any]						,						lowerCamelCase      :  Union[str, Any]=0						,						lowerCamelCase      :  List[str]=100						,						lowerCamelCase      :  List[Any]=0.0_0_0_1						,						lowerCamelCase      :  Optional[Any]=1e-6						,						lowerCamelCase      :  str=False			):
 UpperCamelCase_      :		Optional[Any]				=      xa  # set the initial guess
 UpperCamelCase_      :		str				=      [a]
 UpperCamelCase_      :		Optional[Any]				=      abs(f(lowerCamelCase			)			)
 UpperCamelCase_      :		Dict				=      lambda lowerCamelCase			: calc_derivative(lowerCamelCase						,						lowerCamelCase						,						h=lowerCamelCase			)  # noqa: E731  Derivative of f(x)
 for _ in range(lowerCamelCase			):
  if fa(lowerCamelCase			) == 0:
   raise ValueError('No converging solution found'			)
  UpperCamelCase_      :		Optional[Any]				=      a - f(lowerCamelCase			) / fa(lowerCamelCase			)  # Calculate the next estimate
  if logsteps:
   steps.append(lowerCamelCase			)
  if error < maxerror:
   break
 else:
  raise ValueError('Iteration limit reached, no converging solution found'			)
 if logsteps:
  # If logstep is true, then log intermediate steps
  return a, error, steps
 return a, error


if __name__ == "__main__":
   from matplotlib import pyplot as plt

   a_					      = lambda x: m.tanh(x) ** 2 - m.exp(3 * x)  # noqa: E731
   a_      ,				a_      ,				a_					      = newton_raphson(
       f, xa=10, maxiter=1_000, step=1E-6, logsteps=True
   )
   plt.plot([abs(f(x)) for x in steps])
   plt.xlabel('step')
   plt.ylabel('error')
   plt.show()
   print(F"""solution = {{{solution:f}}}, error = {{{error:f}}}""")




from datetime import date

import requests

a_					      = 'https://api.carbonintensity.org.uk/intensity'





def      __lowercase  (		):
 UpperCamelCase_      :		Dict				=      requests.get(lowerCamelCase			).json()['data'][0]
 return last_half_hour["intensity"]["actual"]





def      __lowercase  (		lowerCamelCase      :  Union[str, Any]						,						lowerCamelCase      :  Union[str, Any]			):
 return requests.get(F"{BASE_URL}/{start}/{end}"			).json()["data"]


if __name__ == "__main__":
   for entry in fetch_from_to(start=date(2_020, 10, 1), end=date(2_020, 10, 3)):
      print('from {from} to {to}: {intensity[actual]}'.format(**entry))
   print(F"""{fetch_last_half_hour() = }""")



