





"""simple docstring"""






def     __A      (			a_						:float   ,       a_						:float)		->		float:

				if density <= 0:
								raise ValueError('''Impossible fluid density''')
				if bulk_modulus <= 0:
								raise ValueError('''Impossible bulk modulus''')

				return (bulk_modulus / density) ** 0.5


if __name__ == "__main__":
		import doctest

		doctest.testmod()






"""simple docstring"""






import copy
import re




class 				__lowercase			:







					'''simple docstring'''




					__lowerCAmelCase  =  '''hp'''
					__lowerCAmelCase  =  {}
					__lowerCAmelCase  =  None







					@classmethod
					def  _lowerCamelCase		(						cls	,			_UpperCAmelCase	,			_UpperCAmelCase     ):
									__a :						Optional[int]			       =  prefix
									__a :						List[str]			       =  defaults
									cls.build_naming_info()







					@staticmethod
					def  _lowerCamelCase		(						_UpperCAmelCase	,			_UpperCAmelCase     ):
									if len(_UpperCAmelCase     ) == 0:
													return ""
									__a :						Optional[int]			       =  None
									if any(char.isdigit() for char in word     ):
													raise Exception(f"""Parameters should not contain numbers: '{word}' contains a number"""     )
									if word in info["short_word"]:
													return info["short_word"][word]
									for prefix_len in range(1	,			len(_UpperCAmelCase     ) + 1     ):
													__a :						str			       =  word[:prefix_len]
													if prefix in info["reverse_short_word"]:
																	continue
													else:
																	__a :						Tuple			       =  prefix
																	break

									if short_word is None:
													# Paranoid fallback
													def int_to_alphabetic(_UpperCAmelCase     ):
																	__a :						List[str]			       =  ''''''
																	while integer != 0:
																					__a :						Union[str, Any]			       =  chr(ord('''A'''     ) + integer % 10     ) + s
																					integer //= 10
																	return s

													__a :						Optional[int]			       =  0
													while True:
																	__a :						List[str]			       =  word + '''#''' + int_to_alphabetic(_UpperCAmelCase     )
																	if sword in info["reverse_short_word"]:
																					continue
																	else:
																					__a :						Optional[Any]			       =  sword
																					break

									__a :						List[str]			       =  short_word
									__a :						Dict			       =  word
									return short_word







					@staticmethod
					def  _lowerCamelCase		(						_UpperCAmelCase	,			_UpperCAmelCase     ):
									__a :						str			       =  param_name.split('''_'''     )

									__a :						str			       =  [TrialShortNamer.shortname_for_word(_UpperCAmelCase	,			_UpperCAmelCase     ) for word in words]

									# We try to create a separatorless short name, but if there is a collision we have to fallback
									# to a separated short name
									__a :						Dict			       =  ['''''', '''_''']

									for separator in separators:
													__a :						Union[str, Any]			       =  separator.join(_UpperCAmelCase     )
													if shortname not in info["reverse_short_param"]:
																	__a :						List[str]			       =  shortname
																	__a :						Union[str, Any]			       =  param_name
																	return shortname

									return param_name







					@staticmethod
					def  _lowerCamelCase		(						_UpperCAmelCase	,			_UpperCAmelCase     ):
									__a :						int			       =  TrialShortNamer.shortname_for_key(_UpperCAmelCase	,			_UpperCAmelCase     )
									__a :						Optional[Any]			       =  short_name
									__a :						Optional[Any]			       =  param_name







					@classmethod
					def  _lowerCamelCase		(						cls     ):
									if cls.NAMING_INFO is not None:
													return

									__a :						Optional[Any]			       =  {
									    '''short_word''': {},
									    '''reverse_short_word''': {},
									    '''short_param''': {},
									    '''reverse_short_param''': {},
									}

									__a :						List[str]			       =  list(cls.DEFAULTS.keys()     )

									for k in field_keys:
													cls.add_new_param_name(_UpperCAmelCase	,			_UpperCAmelCase     )

									__a :						Optional[Any]			       =  info







					@classmethod
					def  _lowerCamelCase		(						cls	,			_UpperCAmelCase     ):
									cls.build_naming_info()
									assert cls.PREFIX is not None
									__a :						str			       =  [copy.copy(cls.PREFIX     )]

									for k, v in params.items():
													if k not in cls.DEFAULTS:
																	raise Exception(f"""You should provide a default value for the param name {k} with value {v}"""     )
													if v == cls.DEFAULTS[k]:
																	# The default value is not added to the name
																	continue

													__a :						Union[str, Any]			       =  cls.NAMING_INFO['''short_param'''][k]

													if isinstance(_UpperCAmelCase	,			_UpperCAmelCase     ):
																	__a :						str			       =  1 if v else 0

													__a :						Tuple			       =  '''''' if isinstance(_UpperCAmelCase	,			(int, float)     ) else '''-'''
													__a :						Dict			       =  f"""{key}{sep}{v}"""
													name.append(_UpperCAmelCase     )

									return "_".join(_UpperCAmelCase     )







					@classmethod
					def  _lowerCamelCase		(						cls	,			_UpperCAmelCase     ):
									__a :						List[Any]			       =  repr[len(cls.PREFIX     ) + 1 :]
									if repr == "":
													__a :						Tuple			       =  []
									else:
													__a :						str			       =  repr.split('''_'''     )

									__a :						Optional[Any]			       =  {}

									for value in values:
													if "-" in value:
																	__a       ,						__a :						List[Any]			       =  value.split('''-'''     )
													else:
																	__a :						int			       =  re.sub('''[0-9.]'''	,			''''''	,			_UpperCAmelCase     )
																	__a :						Union[str, Any]			       =  float(re.sub('''[^0-9.]'''	,			''''''	,			_UpperCAmelCase     )     )

													__a :						Dict			       =  cls.NAMING_INFO['''reverse_short_param'''][p_k]

													__a :						Union[str, Any]			       =  p_v

									for k in cls.DEFAULTS:
													if k not in parameters:
																	__a :						Optional[int]			       =  cls.DEFAULTS[k]

									return parameters