"""simple docstring"""
import string

# frequency taken from https://en.wikipedia.org/wiki/Letter_frequency
SCREAMING_SNAKE_CASE__      						=  {
    "E": 12.70,
    "T": 9.06,
    "A": 8.17,
    "O": 7.51,
    "I": 6.97,
    "N": 6.75,
    "S": 6.33,
    "H": 6.09,
    "R": 5.99,
    "D": 4.25,
    "L": 4.03,
    "C": 2.78,
    "U": 2.76,
    "M": 2.41,
    "W": 2.36,
    "F": 2.23,
    "G": 2.02,
    "Y": 1.97,
    "P": 1.93,
    "B": 1.29,
    "V": 0.98,
    "K": 0.77,
    "J": 0.15,
    "X": 0.15,
    "Q": 0.10,
    "Z": 0.07,
}
SCREAMING_SNAKE_CASE__      						=  "ETAOINSHRDLCUMWFGYPBVKJXQZ"
SCREAMING_SNAKE_CASE__      						=  "ABCDEFGHIJKLMNOPQRSTUVWXYZ"





def    lowerCAmelCase__    (			_UpperCamelCase       :				str					)					->				dict[str, int]:





      """simple docstring"""






      snake_case								=			{letter: 0 for letter in string.ascii_uppercase}
      for letter in message.upper():
            if letter in LETTERS:
                  letter_count[letter] += 1

      return letter_count





def    lowerCAmelCase__    (			_UpperCamelCase       :				tuple					)					->				str:





      """simple docstring"""






      return x[0]





def    lowerCAmelCase__    (			_UpperCamelCase       :				str					)					->				str:





      """simple docstring"""






      snake_case								=			get_letter_count(_UpperCamelCase					)
      snake_case								=			{
          freq: [] for letter, freq in letter_to_freq.items()
      }
      for letter in LETTERS:
            freq_to_letter[letter_to_freq[letter]].append(_UpperCamelCase					)

      snake_case								=			{}

      for freq in freq_to_letter:
            freq_to_letter[freq].sort(key=ETAOIN.find ,			reverse=_UpperCamelCase					)
            snake_case								=			''.join(freq_to_letter[freq]					)

      snake_case								=			list(freq_to_letter_str.items()					)
      freq_pairs.sort(key=_UpperCamelCase ,			reverse=_UpperCamelCase					)

      snake_case								=			[freq_pair[1] for freq_pair in freq_pairs]

      return "".join(_UpperCamelCase					)





def    lowerCAmelCase__    (			_UpperCamelCase       :				str					)					->				int:





      """simple docstring"""






      snake_case								=			get_frequency_order(_UpperCamelCase					)
      snake_case								=			0
      for common_letter in ETAOIN[:6]:
            if common_letter in freq_order[:6]:
                  match_score += 1

      for uncommon_letter in ETAOIN[-6:]:
            if uncommon_letter in freq_order[-6:]:
                  match_score += 1

      return match_score


if __name__ == "__main__":
     import doctest

     doctest.testmod()



"""simple docstring"""
import math





def    lowerCAmelCase__    (			_UpperCamelCase       :				float ,			_UpperCamelCase       :				float					)					->				float:





						"""simple docstring"""






						if initial_intensity < 0:
												raise ValueError('The value of intensity cannot be negative'					)
												# handling of negative values of initial intensity
						if angle < 0 or angle > 3_6_0:
												raise ValueError('In Malus Law, the angle is in the range 0-360 degrees'					)
												# handling of values out of allowed range
						return initial_intensity * (math.cos(math.radians(_UpperCamelCase					)					) ** 2)


if __name__ == "__main__":
					import doctest

					doctest.testmod(name="malus_law")


